id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
711.2108 | The Effective Action of N=8 Supergravity | We present a simple form of the on-shell gauge-invariant 1-loop effective
action of N=8 supergravity which is manifestly N=8 supersymmetric at the linear
level. By generalizing the dimensional arguments in superspace to non-local
invariants, we show that the 1-loop effective action does not contain any
contributions from bubble and triangle diagrams. The absence of bubbles implies
the absence of conformal and axial anomalies. We also show that the 1-loop
effective action of N=8 supergravity features a "dual" conformal symmetry in
the momentum space.
| hep-th | we present a simple form of the onshell gaugeinvariant 1loop effective action of n8 supergravity which is manifestly n8 supersymmetric at the linear level by generalizing the dimensional arguments in superspace to nonlocal invariants we show that the 1loop effective action does not contain any contributions from bubble and triangle diagrams the absence of bubbles implies the absence of conformal and axial anomalies we also show that the 1loop effective action of n8 supergravity features a dual conformal symmetry in the momentum space | [['we', 'present', 'a', 'simple', 'form', 'of', 'the', 'onshell', 'gaugeinvariant', '1loop', 'effective', 'action', 'of', 'n8', 'supergravity', 'which', 'is', 'manifestly', 'n8', 'supersymmetric', 'at', 'the', 'linear', 'level', 'by', 'generalizing', 'the', 'dimensional', 'arguments', 'in', 'superspace', 'to', 'nonlocal', 'invariants', 'we', 'show', 'that', 'the', '1loop', 'effective', 'action', 'does', 'not', 'contain', 'any', 'contributions', 'from', 'bubble', 'and', 'triangle', 'diagrams', 'the', 'absence', 'of', 'bubbles', 'implies', 'the', 'absence', 'of', 'conformal', 'and', 'axial', 'anomalies', 'we', 'also', 'show', 'that', 'the', '1loop', 'effective', 'action', 'of', 'n8', 'supergravity', 'features', 'a', 'dual', 'conformal', 'symmetry', 'in', 'the', 'momentum', 'space']] | [-0.1411774629132306, 0.19025100600423225, -0.07389176937089448, 0.11223765865041235, -0.11061724544648664, -0.08860776446625052, -0.006168689716225827, 0.2956255565184247, -0.1204314723565995, -0.22513944978814526, 0.048280106823756753, -0.3050876215032964, -0.23743152429899536, 0.04695603443332106, -0.06356693413781833, 0.026073200908680278, -0.0049832051939678835, 0.08203400263046644, -0.14344754661938333, -0.2658638137628336, 0.33698453648711546, -0.028043223730097693, 0.22941295169742712, 0.09125344208946609, 0.14741918791775557, 0.015620827091386518, -0.009026801393154156, 0.015594040531404204, -0.0787451368742917, 0.11451899407274392, 0.21698421121473951, 0.051533819974332776, 0.05753946892288794, -0.4335645648415189, -0.1904912842858403, 0.08263378290190215, 0.19999059540477682, 0.1802290382960542, -0.001163372955466824, -0.26202409099563057, 0.03998054516872009, -0.171237828995449, -0.18700587647933378, -0.1546560844787991, 0.0021500550434891, -0.19884931628244468, -0.2631533642591213, 0.10938333973277316, 0.03586658935275781, 0.056357448707413244, -0.046292253340039044, -0.05851988544609083, -0.11705504124984145, 0.08158232921493207, 0.11134622812394547, 0.063958193788779, 0.14556970091183188, -0.23092150375787351, -0.15145423587591175, 0.377745949427586, -0.10087050699224942, -0.228309438395572, 0.11515470385461686, -0.18645379644627852, -0.21063307576521065, 0.13748008328776087, 0.04993401440309293, 0.1488259526433182, -0.15857322176312466, 0.2705051439284089, -0.039830219982393895, 0.1133412337800241, 0.12112058931400618, 0.04214028008380366, 0.22711086656943144, 0.024337304396981216, 0.03665593696101737, 0.1388971442468913, 0.03478654568274337, -0.06057828360697232, -0.5160595527793987, -0.11514947406319251, -0.08612501169610993, 0.12178018914990783, -0.17895068515461016, -0.17613283331023463, 0.37487879652720707, 0.13494513091296015, 0.15682605273161834, 0.10429813622087465, 0.2454285924827837, 0.12653503145080014, 0.17512820859675307, 0.09131499168362064, 0.2646204892360796, 0.09427923954608121, 0.0121413575995893, -0.31054929815827453, -0.15908879087256067, 0.2537257895350501] |
711.2109 | Detection of extragalactic H3O+ | The H3O+ molecule probes the oxygen chemistry and the ionization rate of
dense circumnuclear gas in galaxies. In particular, recent H3O+ observations
show variations in the cosmic-ray ionization rate by factors of $>$10 within
our Galaxy. Using the JCMT, we have observed the 364 GHz line of p-H3O+ in the
centers of M82 and Arp 220. In Arp 220, the line profile suggests that the
emission originates in the Western nucleus. In M82, both the eastern molecular
peak and the circumnuclear region contribute to the emission. The derived
column densities, abundances, and H3O+ / H2O ratios indicate ionization rates
similar to or even exceeding that in the Galactic Center. Model calculations of
the chemistry of irradiated molecular gas indicate a likely origin of this high
ionization rate in the extended, evolved starburst of M82. In contrast,
irradiation by X-rays from the AGN disk is the most likely model for Arp 220.
| astro-ph | the h3o molecule probes the oxygen chemistry and the ionization rate of dense circumnuclear gas in galaxies in particular recent h3o observations show variations in the cosmicray ionization rate by factors of 10 within our galaxy using the jcmt we have observed the 364 ghz line of ph3o in the centers of m82 and arp 220 in arp 220 the line profile suggests that the emission originates in the western nucleus in m82 both the eastern molecular peak and the circumnuclear region contribute to the emission the derived column densities abundances and h3o h2o ratios indicate ionization rates similar to or even exceeding that in the galactic center model calculations of the chemistry of irradiated molecular gas indicate a likely origin of this high ionization rate in the extended evolved starburst of m82 in contrast irradiation by xrays from the agn disk is the most likely model for arp 220 | [['the', 'h3o', 'molecule', 'probes', 'the', 'oxygen', 'chemistry', 'and', 'the', 'ionization', 'rate', 'of', 'dense', 'circumnuclear', 'gas', 'in', 'galaxies', 'in', 'particular', 'recent', 'h3o', 'observations', 'show', 'variations', 'in', 'the', 'cosmicray', 'ionization', 'rate', 'by', 'factors', 'of', '10', 'within', 'our', 'galaxy', 'using', 'the', 'jcmt', 'we', 'have', 'observed', 'the', '364', 'ghz', 'line', 'of', 'ph3o', 'in', 'the', 'centers', 'of', 'm82', 'and', 'arp', '220', 'in', 'arp', '220', 'the', 'line', 'profile', 'suggests', 'that', 'the', 'emission', 'originates', 'in', 'the', 'western', 'nucleus', 'in', 'm82', 'both', 'the', 'eastern', 'molecular', 'peak', 'and', 'the', 'circumnuclear', 'region', 'contribute', 'to', 'the', 'emission', 'the', 'derived', 'column', 'densities', 'abundances', 'and', 'h3o', 'h2o', 'ratios', 'indicate', 'ionization', 'rates', 'similar', 'to', 'or', 'even', 'exceeding', 'that', 'in', 'the', 'galactic', 'center', 'model', 'calculations', 'of', 'the', 'chemistry', 'of', 'irradiated', 'molecular', 'gas', 'indicate', 'a', 'likely', 'origin', 'of', 'this', 'high', 'ionization', 'rate', 'in', 'the', 'extended', 'evolved', 'starburst', 'of', 'm82', 'in', 'contrast', 'irradiation', 'by', 'xrays', 'from', 'the', 'agn', 'disk', 'is', 'the', 'most', 'likely', 'model', 'for', 'arp', '220']] | [-0.02402155452951168, 0.035414190740557384, 0.004010616733382146, 0.062286906112761546, 0.062167306191598375, -0.042375161067272224, 0.049513881866199275, 0.4572482233867049, -0.1430190345311227, -0.29677478032186627, 0.02215726351055006, -0.2854523474785189, 0.01990813930053264, 0.1414485816222926, 0.03192009695165325, -0.08794226411012157, -0.017395577556453646, -0.1268690167553723, -0.006116053295166542, -0.2098373303251962, 0.2633294506650418, 0.15980272059173634, 0.18780463106775036, 0.07128896820751834, 0.032351005061840014, -0.16382841667781273, -0.048637162931263446, -0.11783572713534038, -0.09917528912473547, 0.07509677294641733, 0.2962873111339286, 0.10014579586296653, 0.17630017716165944, -0.41214750689454377, -0.2652198739357603, 0.05109690408532818, 0.19392907411946606, 0.02399501046476265, -0.059410367008822504, -0.26718820416834205, -0.010065471586616088, -0.20664863115487, -0.20278389747564993, 0.14644125398558874, 0.029578995336778463, 0.06762706953876962, -0.1994411057148439, 0.17885404854236792, -0.019095655023120342, 0.10447483373917445, -0.15886146051964412, -0.1304709074770411, -0.06432829107313107, 0.03753037651302293, -0.006883630196874341, 0.09480854383980235, 0.3455152199200044, -0.14008804694904636, -0.03588153777333598, 0.4282216495616982, -0.11007882232156893, 0.071708574530979, 0.26341225425247106, -0.2867354781087488, -0.2333511643608411, 0.2519798216813554, 0.09339811323627752, 0.10389457076167066, -0.10014061028758685, -0.016548847169615327, -0.07341168296523393, 0.2135064142756164, 0.060070611527577665, 0.05942042251903331, 0.26929956713070474, 0.04179723845018695, 0.018281920093577354, 0.10786800129339098, -0.2849218538962305, -0.06425227784241239, -0.18609068668447434, -0.09936800653037305, -0.1051742433787634, 0.08628197977785021, -0.12184911106674311, -0.024091222199300925, 0.31224914934486153, 0.08735158200065295, 0.2443442901596427, -0.0685392392721648, 0.3196744932141155, 0.05840963277112072, 0.08691947287569443, 0.15094991420706114, 0.3277019633352756, 0.1908151223246629, 0.07054524548351765, -0.3151248941089337, 0.13323413570799555, -0.03194607662347456] |
711.211 | Magnetic-Field Induced Bose-Einstein Condensation of Magnons and
Critical Behavior in Interacting Spin Dimer System TlCuCl$_3$ | Magnetization measurements were performed to investigate the critical
behavior of the field-induced magnetic ordering in gapped spin system
TlCuCl$_3$. The critical density of the magnons was obtained as a function of
temperature and the magnon-magnon interaction constant was evaluated. The
experimental phase boundary for $T < 5$ K agrees almost perfectly with the
magnon BEC theory based on the Hartree-Fock approximation with realistic
dispersion relations. The phase boundary can be described by the power law
$[H_{N}(T)-H_{c}] propto T^{phi}$. With decreasing fitting temperature range,
the critical exponent ${phi}$ decreases and converges at $phi_{BEC} =3/2$
predicted by the magnon BEC theory.
| cond-mat.str-el | magnetization measurements were performed to investigate the critical behavior of the fieldinduced magnetic ordering in gapped spin system tlcucl_3 the critical density of the magnons was obtained as a function of temperature and the magnonmagnon interaction constant was evaluated the experimental phase boundary for t 5 k agrees almost perfectly with the magnon bec theory based on the hartreefock approximation with realistic dispersion relations the phase boundary can be described by the power law h_nth_c propto tphi with decreasing fitting temperature range the critical exponent phi decreases and converges at phi_bec 32 predicted by the magnon bec theory | [['magnetization', 'measurements', 'were', 'performed', 'to', 'investigate', 'the', 'critical', 'behavior', 'of', 'the', 'fieldinduced', 'magnetic', 'ordering', 'in', 'gapped', 'spin', 'system', 'tlcucl_3', 'the', 'critical', 'density', 'of', 'the', 'magnons', 'was', 'obtained', 'as', 'a', 'function', 'of', 'temperature', 'and', 'the', 'magnonmagnon', 'interaction', 'constant', 'was', 'evaluated', 'the', 'experimental', 'phase', 'boundary', 'for', 't', '5', 'k', 'agrees', 'almost', 'perfectly', 'with', 'the', 'magnon', 'bec', 'theory', 'based', 'on', 'the', 'hartreefock', 'approximation', 'with', 'realistic', 'dispersion', 'relations', 'the', 'phase', 'boundary', 'can', 'be', 'described', 'by', 'the', 'power', 'law', 'h_nth_c', 'propto', 'tphi', 'with', 'decreasing', 'fitting', 'temperature', 'range', 'the', 'critical', 'exponent', 'phi', 'decreases', 'and', 'converges', 'at', 'phi_bec', '32', 'predicted', 'by', 'the', 'magnon', 'bec', 'theory']] | [-0.19557885868804684, 0.25266338809160516, -0.07247023727298559, 0.01526636416989883, -0.02241955320459965, -0.1599462695157854, 0.07188725532372094, 0.31927962818493444, -0.21733940475193472, -0.2925196022745998, 0.011949245074598972, -0.3554528397993029, -0.07071545708943934, 0.18075599748408422, 0.09531503224085706, 0.09661303941781323, -0.07434065422906617, 0.06009424915100681, -0.1317523794811374, -0.18266817102752006, 0.27419651452752686, 0.026956859743222594, 0.3186037049939235, 0.08322645893592077, 0.03502517714029333, -0.00040152139032064343, 0.09097701765616269, 0.03171359537615596, -0.20859678161408132, -0.035484502853554055, 0.21325461537890078, -0.07233882111904677, 0.14848684108680268, -0.37357089085950673, -0.2279225922150848, 0.02586373172622795, 0.16309580712307556, 0.09038668787616189, 0.005360643324820558, -0.27740428372635506, 0.05813141989347059, -0.1606712709957113, -0.18844421585284485, -0.08020940420101397, 0.0022058302032140395, 0.01026724365025681, -0.2594398044748232, 0.1798358852392994, 0.027150970223980646, 0.10998547285756406, -0.12527675664265794, -0.14300269905531118, -0.06824811691573511, 0.06708516409465422, 0.051075739708418645, 0.13090479687283127, 0.16600322672942033, -0.1102151084439053, -0.06750213339788995, 0.32415082292088, -0.12307754760210325, -0.07280620639600481, 0.10947370457385357, -0.19599091291699247, -0.017991814587730914, 0.15164999248615155, 0.06255537635297514, 0.07434358070084575, -0.09654871434516583, 0.1256338075121827, 0.0011716873086697888, 0.2072747620792749, 0.04951753631272974, -0.012352411227766424, 0.2290320713800611, 0.1562739147436029, 0.014835181491434923, 0.16813781391707985, -0.08491861309933786, -0.12087351824447978, -0.26814850776281673, -0.0798052506094488, -0.246313850589407, 0.050165082856741115, -0.13623698127503303, -0.14541351710795425, 0.339949057585424, 0.10667292254220229, 0.20944824274677862, 0.061151262101096414, 0.24883052994361302, 0.2284713359476882, 0.03696049677091651, 0.07179345546561915, 0.25375353533308953, 0.20342567667830735, 0.1408722799824318, -0.3299453546836351, 0.049004659168228194, 0.04799034195457352] |
711.2111 | Warm dust in the terrestrial planet zone of a sun-like Pleiad:
collisions between planetary embryos? | Only a few solar-type main sequence stars are known to be orbited by warm
dust particles; the most extreme is the G0 field star BD+20 307 that emits ~4%
of its energy at mid-infrared wavelengths. We report the identification of a
similarly dusty star HD 23514, an F6-type member of the Pleiades cluster. A
strong mid-IR silicate emission feature indicates the presence of small warm
dust particles, but with the primary flux density peak at the non-standard
wavelength of ~9 micron. The existence of so much dust within an AU or so of
these stars is not easily accounted for given the very brief lifetime in orbit
of small particles. The apparent absence of very hot (>~1000 K) dust at both
stars suggests the possible presence of a planet closer to the stars than the
dust. The observed frequency of the BD+20 307/HD 23514 phenomenon indicates
that the mass equivalent of Earth's Moon must be converted, via collisions of
massive bodies, to tiny dust particles that find their way to the terrestrial
planet zone during the first few hundred million years of the life of many
(most?) sun-like stars. Identification of these two dusty systems among
youthful nearby solar-type stars suggests that terrestrial planet formation is
common.
| astro-ph | only a few solartype main sequence stars are known to be orbited by warm dust particles the most extreme is the g0 field star bd20 307 that emits 4 of its energy at midinfrared wavelengths we report the identification of a similarly dusty star hd 23514 an f6type member of the pleiades cluster a strong midir silicate emission feature indicates the presence of small warm dust particles but with the primary flux density peak at the nonstandard wavelength of 9 micron the existence of so much dust within an au or so of these stars is not easily accounted for given the very brief lifetime in orbit of small particles the apparent absence of very hot 1000 k dust at both stars suggests the possible presence of a planet closer to the stars than the dust the observed frequency of the bd20 307hd 23514 phenomenon indicates that the mass equivalent of earths moon must be converted via collisions of massive bodies to tiny dust particles that find their way to the terrestrial planet zone during the first few hundred million years of the life of many most sunlike stars identification of these two dusty systems among youthful nearby solartype stars suggests that terrestrial planet formation is common | [['only', 'a', 'few', 'solartype', 'main', 'sequence', 'stars', 'are', 'known', 'to', 'be', 'orbited', 'by', 'warm', 'dust', 'particles', 'the', 'most', 'extreme', 'is', 'the', 'g0', 'field', 'star', 'bd20', '307', 'that', 'emits', '4', 'of', 'its', 'energy', 'at', 'midinfrared', 'wavelengths', 'we', 'report', 'the', 'identification', 'of', 'a', 'similarly', 'dusty', 'star', 'hd', '23514', 'an', 'f6type', 'member', 'of', 'the', 'pleiades', 'cluster', 'a', 'strong', 'midir', 'silicate', 'emission', 'feature', 'indicates', 'the', 'presence', 'of', 'small', 'warm', 'dust', 'particles', 'but', 'with', 'the', 'primary', 'flux', 'density', 'peak', 'at', 'the', 'nonstandard', 'wavelength', 'of', '9', 'micron', 'the', 'existence', 'of', 'so', 'much', 'dust', 'within', 'an', 'au', 'or', 'so', 'of', 'these', 'stars', 'is', 'not', 'easily', 'accounted', 'for', 'given', 'the', 'very', 'brief', 'lifetime', 'in', 'orbit', 'of', 'small', 'particles', 'the', 'apparent', 'absence', 'of', 'very', 'hot', '1000', 'k', 'dust', 'at', 'both', 'stars', 'suggests', 'the', 'possible', 'presence', 'of', 'a', 'planet', 'closer', 'to', 'the', 'stars', 'than', 'the', 'dust', 'the', 'observed', 'frequency', 'of', 'the', 'bd20', '307hd', '23514', 'phenomenon', 'indicates', 'that', 'the', 'mass', 'equivalent', 'of', 'earths', 'moon', 'must', 'be', 'converted', 'via', 'collisions', 'of', 'massive', 'bodies', 'to', 'tiny', 'dust', 'particles', 'that', 'find', 'their', 'way', 'to', 'the', 'terrestrial', 'planet', 'zone', 'during', 'the', 'first', 'few', 'hundred', 'million', 'years', 'of', 'the', 'life', 'of', 'many', 'most', 'sunlike', 'stars', 'identification', 'of', 'these', 'two', 'dusty', 'systems', 'among', 'youthful', 'nearby', 'solartype', 'stars', 'suggests', 'that', 'terrestrial', 'planet', 'formation', 'is', 'common']] | [-0.09579976952015377, 0.1921822462620573, -0.045869753592041804, 0.060928970303508516, -0.09140721405630262, -0.049779470533005965, 0.043233349830594854, 0.36469166837768285, -0.1601828061444323, -0.3508717781497907, 0.03401284533478229, -0.28538955636865015, -0.018974794590285102, 0.17687017545420497, -0.06914549097034502, -0.046538690379447786, 0.11285378964554554, -0.015358509486812411, 0.035125884449265406, -0.2620869853784719, 0.2804572330697358, 0.0815605724009163, 0.05882647323808678, -0.003571061103569979, 0.033814904979629065, -0.1296536656756641, -0.03585945118842556, -0.08816582664680098, -0.12536574912879692, 0.041413719773894964, 0.21954436329175328, 0.11394573923073781, 0.23409275987266914, -0.37138870778918553, -0.2341055228880401, 0.0965044561053572, 0.18585653898184124, 0.02624498010111195, -0.05603100730386536, -0.23760095505423626, 0.10430035821175727, -0.17142427186153883, -0.20561702681470265, 0.10310110075905629, 0.10146734217527657, -0.01925650340260811, -0.2306226790979848, 0.10434306441982576, 0.0736850404753621, 0.13655006911976317, -0.11987570405076484, -0.14561889955810117, -0.09647471400981461, 0.05364941166673145, 0.04824654316163432, 0.04416104913711801, 0.20735512351734764, -0.08982825177231153, 0.017190168999379626, 0.4530813416050186, -0.10904182434836188, 0.03345779320475187, 0.28745120066699564, -0.2526630209103335, -0.14028639762235118, 0.21363266632955485, 0.11573288847581546, 0.19193945362829395, -0.1952136857452061, -0.049232465112740084, -0.04074798659839694, 0.21383248889384773, 0.10748784081644189, 0.10083070184156136, 0.4345038121665638, 0.155292645874388, 0.024086945854947965, 0.084404516713106, -0.2434900673015893, -0.06372670944835493, -0.2107698464307265, -0.12152329920248571, -0.16377336756485622, 0.058054604541662364, -0.1398721288785664, -0.12713713753646075, 0.30091697806989753, 0.1182597060591769, 0.17955887664868994, 0.0057734375518918475, 0.27753517154640367, 0.055590959664804915, 0.14173762601404252, 0.13584962940675396, 0.34686319767135804, 0.1584183379015388, 0.09697981604185064, -0.23816331953615022, 0.0672087591916811, -0.03791889956998594] |
711.2112 | Bi-capacities -- Part II: the Choquet integral | Bi-capacities arise as a natural generalization of capacities (or fuzzy
measures) in a context of decision making where underlying scales are bipolar.
They are able to capture a wide variety of decision behaviours, encompassing
models such as Cumulative Prospect Theory (CPT). The aim of this paper in two
parts is to present the machinery behind bi-capacities, and thus remains on a
rather theoretical level, although some parts are firmly rooted in decision
theory, notably cooperative game theory. The present second part focuses on the
definition of Choquet integral. We give several expressions of it, including an
expression w.r.t. the M\"obius transform. This permits to express the Choquet
integral for 2-additive bi-capacities w.r.t. the interaction index.
| cs.DM cs.GT | bicapacities arise as a natural generalization of capacities or fuzzy measures in a context of decision making where underlying scales are bipolar they are able to capture a wide variety of decision behaviours encompassing models such as cumulative prospect theory cpt the aim of this paper in two parts is to present the machinery behind bicapacities and thus remains on a rather theoretical level although some parts are firmly rooted in decision theory notably cooperative game theory the present second part focuses on the definition of choquet integral we give several expressions of it including an expression wrt the mobius transform this permits to express the choquet integral for 2additive bicapacities wrt the interaction index | [['bicapacities', 'arise', 'as', 'a', 'natural', 'generalization', 'of', 'capacities', 'or', 'fuzzy', 'measures', 'in', 'a', 'context', 'of', 'decision', 'making', 'where', 'underlying', 'scales', 'are', 'bipolar', 'they', 'are', 'able', 'to', 'capture', 'a', 'wide', 'variety', 'of', 'decision', 'behaviours', 'encompassing', 'models', 'such', 'as', 'cumulative', 'prospect', 'theory', 'cpt', 'the', 'aim', 'of', 'this', 'paper', 'in', 'two', 'parts', 'is', 'to', 'present', 'the', 'machinery', 'behind', 'bicapacities', 'and', 'thus', 'remains', 'on', 'a', 'rather', 'theoretical', 'level', 'although', 'some', 'parts', 'are', 'firmly', 'rooted', 'in', 'decision', 'theory', 'notably', 'cooperative', 'game', 'theory', 'the', 'present', 'second', 'part', 'focuses', 'on', 'the', 'definition', 'of', 'choquet', 'integral', 'we', 'give', 'several', 'expressions', 'of', 'it', 'including', 'an', 'expression', 'wrt', 'the', 'mobius', 'transform', 'this', 'permits', 'to', 'express', 'the', 'choquet', 'integral', 'for', '2additive', 'bicapacities', 'wrt', 'the', 'interaction', 'index']] | [-0.11587705246942198, 0.066664502080454, -0.10975244494721942, 0.13206109125875745, -0.13060618226375917, -0.10280984889958864, 0.07071432175479181, 0.367391634222282, -0.2905476188854031, -0.2678732570787163, 0.11471710250125793, -0.2492645755774625, -0.20970345491178982, 0.18150794716430424, -0.12608135896937356, 0.004818507057169209, -0.011518259264488259, 0.09348963086857744, -0.028912122917118605, -0.19325028095171665, 0.34328242025702543, 0.023549180298679223, 0.23050228881690166, 0.06893516809315137, 0.08944087338269405, 0.041994286312357236, -0.06682608834386844, 0.01334030278350996, -0.10816577000786429, 0.1583858551700478, 0.2930486895325252, 0.17456567668072556, 0.2989638739913378, -0.4129063763372276, -0.17804072893872533, 0.0773072240550233, 0.10135658602837636, 0.027684011626178805, 0.009157847752794624, -0.24609661833585605, 0.03963967697370959, -0.17664602496256324, -0.11765330871162208, -0.10154283492744941, 0.020506023773518595, -0.014796136505901813, -0.24512980659694775, 0.014740893657764664, 0.07678610945079961, 0.08948135221359299, -0.07506348965487078, -0.1032591158443171, 0.040368508636627505, 0.13031011430101228, 0.03811520800277915, -0.01153339443136128, 0.10298968304515532, -0.14801423334233138, -0.16925663207860098, 0.39767567677342375, -0.011547116530330285, -0.22348072955627804, 0.19791025087318342, -0.12688768060230043, -0.18186900358971048, 0.09463490831625203, 0.14090637504325612, 0.1407515419545867, -0.17437808796277512, 0.11283650234210021, -0.06696408022923962, 0.11113307058163312, 0.0631801420458309, 0.07436872824378636, 0.20757250934535557, 0.15917335278354586, 0.06822327319330171, 0.16615424185090333, -0.03002950335326402, -0.18792546927402526, -0.3210695994612963, -0.15172631243324797, -0.12226338307170764, 0.038529256887167046, -0.06563219888042153, -0.21335435355406093, 0.34843980226989674, 0.14453865113141745, 0.15703530067011065, 0.11751960133728774, 0.27149667956906814, 0.13355220202154117, 0.045464757570753925, 0.012086159440324358, 0.16772177100065164, 0.15867503658746895, 0.07614955959193732, -0.14323216380738735, 0.09621462691980212, 0.09545582765713334] |
711.2113 | Accretion Disks and the Nature and Origin of AGN Continuum Variability | Theory and observations of the dominant thermal continuum emission in AGNs
are examined. After correction for reddening, the steady state AGN optical--UV
spectral energy distributions (SEDs) are very similar. The SEDs are dominated
energetically by the big blue bump (BBB), but this bump never shows the
nu^{+1/3} spectrum predicted for a standard thin accretion disk with a
r^{-0.75} radial temperature gradient. Instead, the observed optical-UV SED
implies a temperature gradient of r^{-0.57} independent of the thickness of the
disk. This means that there is some flow of heat outwards in the disk. The disk
is large and the region emitting the optical continuum is as large as the inner
broad-line region (BLR). Because optical variability is seen in all AGNs on the
light-crossing time of the BLR, variations must propagate at close to the speed
of light, rather than on dynamical timescales. This argues that the
energy-generation mechanism is electromagnetic rather that hydrodynamic. Since
the velocities are near the speed of light, there can be significant local
anisotropy in the emission. The large rapid variations of the BBB imply that
the magnetohydrodynamic energy generation is fundamentally unstable. Because of
the inevitable radial temperature gradient in the accreting material, different
spectral regions come predominantly from different radii, and variations in
different spectral regions correspond to variability at different radii. This
explains the frequently observed independence of X-ray and optical variations,
cases of variability at lower energies leading variability at higher energies,
and rapid changes in emission-line reverberation lags. Some observational tests
of the local variability hypothesis are proposed.
| astro-ph | theory and observations of the dominant thermal continuum emission in agns are examined after correction for reddening the steady state agn opticaluv spectral energy distributions seds are very similar the seds are dominated energetically by the big blue bump bbb but this bump never shows the nu13 spectrum predicted for a standard thin accretion disk with a r075 radial temperature gradient instead the observed opticaluv sed implies a temperature gradient of r057 independent of the thickness of the disk this means that there is some flow of heat outwards in the disk the disk is large and the region emitting the optical continuum is as large as the inner broadline region blr because optical variability is seen in all agns on the lightcrossing time of the blr variations must propagate at close to the speed of light rather than on dynamical timescales this argues that the energygeneration mechanism is electromagnetic rather that hydrodynamic since the velocities are near the speed of light there can be significant local anisotropy in the emission the large rapid variations of the bbb imply that the magnetohydrodynamic energy generation is fundamentally unstable because of the inevitable radial temperature gradient in the accreting material different spectral regions come predominantly from different radii and variations in different spectral regions correspond to variability at different radii this explains the frequently observed independence of xray and optical variations cases of variability at lower energies leading variability at higher energies and rapid changes in emissionline reverberation lags some observational tests of the local variability hypothesis are proposed | [['theory', 'and', 'observations', 'of', 'the', 'dominant', 'thermal', 'continuum', 'emission', 'in', 'agns', 'are', 'examined', 'after', 'correction', 'for', 'reddening', 'the', 'steady', 'state', 'agn', 'opticaluv', 'spectral', 'energy', 'distributions', 'seds', 'are', 'very', 'similar', 'the', 'seds', 'are', 'dominated', 'energetically', 'by', 'the', 'big', 'blue', 'bump', 'bbb', 'but', 'this', 'bump', 'never', 'shows', 'the', 'nu13', 'spectrum', 'predicted', 'for', 'a', 'standard', 'thin', 'accretion', 'disk', 'with', 'a', 'r075', 'radial', 'temperature', 'gradient', 'instead', 'the', 'observed', 'opticaluv', 'sed', 'implies', 'a', 'temperature', 'gradient', 'of', 'r057', 'independent', 'of', 'the', 'thickness', 'of', 'the', 'disk', 'this', 'means', 'that', 'there', 'is', 'some', 'flow', 'of', 'heat', 'outwards', 'in', 'the', 'disk', 'the', 'disk', 'is', 'large', 'and', 'the', 'region', 'emitting', 'the', 'optical', 'continuum', 'is', 'as', 'large', 'as', 'the', 'inner', 'broadline', 'region', 'blr', 'because', 'optical', 'variability', 'is', 'seen', 'in', 'all', 'agns', 'on', 'the', 'lightcrossing', 'time', 'of', 'the', 'blr', 'variations', 'must', 'propagate', 'at', 'close', 'to', 'the', 'speed', 'of', 'light', 'rather', 'than', 'on', 'dynamical', 'timescales', 'this', 'argues', 'that', 'the', 'energygeneration', 'mechanism', 'is', 'electromagnetic', 'rather', 'that', 'hydrodynamic', 'since', 'the', 'velocities', 'are', 'near', 'the', 'speed', 'of', 'light', 'there', 'can', 'be', 'significant', 'local', 'anisotropy', 'in', 'the', 'emission', 'the', 'large', 'rapid', 'variations', 'of', 'the', 'bbb', 'imply', 'that', 'the', 'magnetohydrodynamic', 'energy', 'generation', 'is', 'fundamentally', 'unstable', 'because', 'of', 'the', 'inevitable', 'radial', 'temperature', 'gradient', 'in', 'the', 'accreting', 'material', 'different', 'spectral', 'regions', 'come', 'predominantly', 'from', 'different', 'radii', 'and', 'variations', 'in', 'different', 'spectral', 'regions', 'correspond', 'to', 'variability', 'at', 'different', 'radii', 'this', 'explains', 'the', 'frequently', 'observed', 'independence', 'of', 'xray', 'and', 'optical', 'variations', 'cases', 'of', 'variability', 'at', 'lower', 'energies', 'leading', 'variability', 'at', 'higher', 'energies', 'and', 'rapid', 'changes', 'in', 'emissionline', 'reverberation', 'lags', 'some', 'observational', 'tests', 'of', 'the', 'local', 'variability', 'hypothesis', 'are', 'proposed']] | [-0.07917346198212272, 0.1555929997939529, -0.08024767910683295, 0.13023797055393516, -0.0503756300349778, -0.08771594973268293, 0.005782682921335436, 0.44380547713080887, -0.22286072630049603, -0.29903259851926123, 0.07878137053967293, -0.2692450963659212, 0.0032680542917660205, 0.2069958940783181, -0.05465115800893727, -0.007264797824973357, 0.016764261936259572, -0.09690735019830754, -0.03792967016579496, -0.17570389495904237, 0.3139407002036023, 0.07835667989184003, 0.22149619787182928, 0.026436404417609083, 0.025663800523489044, -0.1086623961928126, -0.05311692384384514, 0.007627959157211706, -0.09476596621664157, 0.0663841534785945, 0.2273926837633553, 0.06385965742012445, 0.23019619938531832, -0.3770122886853642, -0.2781141294799454, 0.09041082089242991, 0.16656652391247917, 0.040133552720362786, -0.021641834336719512, -0.19394408989501244, 0.03356251865307058, -0.1293843598514286, -0.1588115050126362, 0.04396924102547928, 0.08330490510161326, 0.021391805637904326, -0.20780381394411052, 0.15609676105668768, 0.05139374219504589, 0.09938838452080745, -0.12784657457905269, -0.08201864514012414, -0.09704742644316866, 0.060980299775110325, 0.0993443579709492, 0.043893873667911976, 0.20901921782547106, -0.1262880998037872, -0.02095753638423048, 0.3813099202379817, -0.06555817896816052, -0.020287390811063233, 0.2170505657522881, -0.22970875208693542, -0.12733017948630732, 0.23430787881079596, 0.14660980014787128, 0.11184101825142534, -0.10233721615986724, 0.013226316283407868, -0.0193664436283143, 0.21568853268308885, 0.0540752655488177, 0.08696972437064687, 0.30628158388753945, 0.0859863412993036, 0.021070105830858665, 0.11551268725042974, -0.20359742335313058, -0.0662072961758895, -0.29784685029790126, -0.05212412319485793, -0.1480776769744807, 0.07832894814600877, -0.1606726040150761, -0.15549687337806972, 0.3765604934324074, 0.09508389769234782, 0.23265117117625778, 0.03471299831835495, 0.31106815671410004, 0.13513391745709669, 0.1057529361842171, 0.16147424595055782, 0.3649482271805482, 0.1188674308588702, 0.1410894547871635, -0.27063758025269635, 0.10518074558240187, 0.008903425056587366] |
711.2114 | Bi-capacities -- Part I: definition, M\"obius transform and interaction | Bi-capacities arise as a natural generalization of capacities (or fuzzy
measures) in a context of decision making where underlying scales are bipolar.
They are able to capture a wide variety of decision behaviours, encompassing
models such as Cumulative Prospect Theory (CPT). The aim of this paper in two
parts is to present the machinery behind bi-capacities, and thus remains on a
rather theoretical level, although some parts are firmly rooted in decision
theory, notably cooperative game theory. The present first part is devoted to
the introduction of bi-capacities and the structure on which they are defined.
We define the M\"obius transform of bi-capacities, by just applying the well
known theory of M\" obius functions as established by Rota to the particular
case of bi-capacities. Then, we introduce derivatives of bi-capacities, by
analogy with what was done for pseudo-Boolean functions (another view of
capacities and set functions), and this is the key point to introduce the
Shapley value and the interaction index for bi-capacities. This is done in a
cooperative game theoretic perspective. In summary, all familiar notions used
for fuzzy measures are available in this more general framework.
| cs.DM cs.GT | bicapacities arise as a natural generalization of capacities or fuzzy measures in a context of decision making where underlying scales are bipolar they are able to capture a wide variety of decision behaviours encompassing models such as cumulative prospect theory cpt the aim of this paper in two parts is to present the machinery behind bicapacities and thus remains on a rather theoretical level although some parts are firmly rooted in decision theory notably cooperative game theory the present first part is devoted to the introduction of bicapacities and the structure on which they are defined we define the mobius transform of bicapacities by just applying the well known theory of m obius functions as established by rota to the particular case of bicapacities then we introduce derivatives of bicapacities by analogy with what was done for pseudoboolean functions another view of capacities and set functions and this is the key point to introduce the shapley value and the interaction index for bicapacities this is done in a cooperative game theoretic perspective in summary all familiar notions used for fuzzy measures are available in this more general framework | [['bicapacities', 'arise', 'as', 'a', 'natural', 'generalization', 'of', 'capacities', 'or', 'fuzzy', 'measures', 'in', 'a', 'context', 'of', 'decision', 'making', 'where', 'underlying', 'scales', 'are', 'bipolar', 'they', 'are', 'able', 'to', 'capture', 'a', 'wide', 'variety', 'of', 'decision', 'behaviours', 'encompassing', 'models', 'such', 'as', 'cumulative', 'prospect', 'theory', 'cpt', 'the', 'aim', 'of', 'this', 'paper', 'in', 'two', 'parts', 'is', 'to', 'present', 'the', 'machinery', 'behind', 'bicapacities', 'and', 'thus', 'remains', 'on', 'a', 'rather', 'theoretical', 'level', 'although', 'some', 'parts', 'are', 'firmly', 'rooted', 'in', 'decision', 'theory', 'notably', 'cooperative', 'game', 'theory', 'the', 'present', 'first', 'part', 'is', 'devoted', 'to', 'the', 'introduction', 'of', 'bicapacities', 'and', 'the', 'structure', 'on', 'which', 'they', 'are', 'defined', 'we', 'define', 'the', 'mobius', 'transform', 'of', 'bicapacities', 'by', 'just', 'applying', 'the', 'well', 'known', 'theory', 'of', 'm', 'obius', 'functions', 'as', 'established', 'by', 'rota', 'to', 'the', 'particular', 'case', 'of', 'bicapacities', 'then', 'we', 'introduce', 'derivatives', 'of', 'bicapacities', 'by', 'analogy', 'with', 'what', 'was', 'done', 'for', 'pseudoboolean', 'functions', 'another', 'view', 'of', 'capacities', 'and', 'set', 'functions', 'and', 'this', 'is', 'the', 'key', 'point', 'to', 'introduce', 'the', 'shapley', 'value', 'and', 'the', 'interaction', 'index', 'for', 'bicapacities', 'this', 'is', 'done', 'in', 'a', 'cooperative', 'game', 'theoretic', 'perspective', 'in', 'summary', 'all', 'familiar', 'notions', 'used', 'for', 'fuzzy', 'measures', 'are', 'available', 'in', 'this', 'more', 'general', 'framework']] | [-0.08889974821470381, 0.08723210718264764, -0.091180885156141, 0.13258873992550008, -0.09601662702799002, -0.11887363664944597, 0.06392905718530528, 0.35509316122872714, -0.29749467961014586, -0.27413909729976366, 0.11268327738148497, -0.2397192819737532, -0.21035418389588, 0.16022710719869096, -0.1161298161097604, 0.027969235319029936, -0.025349064331942613, 0.0723599816196935, -0.03527185855250053, -0.21677526959064516, 0.37148478895207826, 0.039954190379617976, 0.23213651036952643, 0.05286571898180595, 0.07151972386550079, 0.03133045452488388, -0.0553701325490615, 0.043919269736123055, -0.12714029077757547, 0.15278765987703932, 0.28845668717980166, 0.1734792359143575, 0.31480985115396176, -0.3981254682083555, -0.18766130352308577, 0.08169540407772652, 0.09857820456679117, 0.03933531077060987, -0.00979726079473968, -0.259655372644626, 0.08007149464274915, -0.16196905076503754, -0.1132476509949985, -0.07298050271074703, 0.005186867228946946, 0.003176902970695432, -0.2334496335567971, 0.016261818585917354, 0.06304922219343542, 0.0872915725901313, -0.035634509761640655, -0.11963284825299311, 0.03099372338483784, 0.12962369847314512, 0.03060811049115418, 0.029097460645177906, 0.10286600562555596, -0.1338776377094117, -0.1633575050472381, 0.39837468058822, -0.016367290170239086, -0.21599802182135272, 0.18154466827647722, -0.11615968191441386, -0.16538374676701037, 0.049307982140081995, 0.13914856909491874, 0.14756772668284185, -0.1622739756790094, 0.10578003562980659, -0.06636797026433844, 0.11091447966510772, 0.0621807278317221, 0.03997374568388431, 0.18897710238370372, 0.15994914226293405, 0.061693660814582586, 0.16525054415731263, 0.001098641687310598, -0.16076973589766336, -0.30826181942161096, -0.1336083431335592, -0.14372839186367817, 0.03763464727300279, -0.03571126371474399, -0.17415617667188116, 0.3714598234931126, 0.13276842865161598, 0.1637528229336393, 0.09031606261541651, 0.2762816482696662, 0.12634798285232157, 0.05876124513606749, 0.019857360877374067, 0.19055832829403796, 0.15093001681057974, 0.09359934973527995, -0.10506095094086126, 0.07597672446393111, 0.10544736413136521] |
711.2115 | Derivative of functions over lattices as a basis for the notion of
interaction between attributes | The paper proposes a general notion of interaction between attributes, which
can be applied to many fields in decision making and data analysis. It
generalizes the notion of interaction defined for criteria modelled by
capacities, by considering functions defined on lattices. For a given problem,
the lattice contains for each attribute the partially ordered set of remarkable
points or levels. The interaction is based on the notion of derivative of a
function defined on a lattice, and appears as a generalization of the Shapley
value or other probabilistic values.
| cs.DM cs.GT | the paper proposes a general notion of interaction between attributes which can be applied to many fields in decision making and data analysis it generalizes the notion of interaction defined for criteria modelled by capacities by considering functions defined on lattices for a given problem the lattice contains for each attribute the partially ordered set of remarkable points or levels the interaction is based on the notion of derivative of a function defined on a lattice and appears as a generalization of the shapley value or other probabilistic values | [['the', 'paper', 'proposes', 'a', 'general', 'notion', 'of', 'interaction', 'between', 'attributes', 'which', 'can', 'be', 'applied', 'to', 'many', 'fields', 'in', 'decision', 'making', 'and', 'data', 'analysis', 'it', 'generalizes', 'the', 'notion', 'of', 'interaction', 'defined', 'for', 'criteria', 'modelled', 'by', 'capacities', 'by', 'considering', 'functions', 'defined', 'on', 'lattices', 'for', 'a', 'given', 'problem', 'the', 'lattice', 'contains', 'for', 'each', 'attribute', 'the', 'partially', 'ordered', 'set', 'of', 'remarkable', 'points', 'or', 'levels', 'the', 'interaction', 'is', 'based', 'on', 'the', 'notion', 'of', 'derivative', 'of', 'a', 'function', 'defined', 'on', 'a', 'lattice', 'and', 'appears', 'as', 'a', 'generalization', 'of', 'the', 'shapley', 'value', 'or', 'other', 'probabilistic', 'values']] | [-0.14317294366636804, 0.09122086315496898, -0.07238756502544236, 0.0562734892134021, -0.07569303543547566, -0.11388205527066347, 0.08883560671905327, 0.3432386257591542, -0.29791931671435745, -0.29449354236673436, 0.09004150810154427, -0.24707742286532114, -0.14599848303975266, 0.17947579262610736, -0.06752707884029559, 0.013989297658881288, 0.013287873773866992, 0.0886148484580721, -0.06333777369680198, -0.22635020549000984, 0.3826541855742925, 0.007036051106000884, 0.26828325785738366, 0.06820721864135246, 0.12220753470482829, 0.07281213018289778, -0.032178261489973645, 0.08996796823535742, -0.10298623910351667, 0.14415876310596012, 0.22996718770486899, 0.12497129710391164, 0.29913233101284237, -0.3421709855620781, -0.21035109112939138, 0.10715468432440349, 0.08048800086037497, 0.049783568404185886, 0.01975160640575452, -0.28694032422617455, 0.05613816339062171, -0.15754709923587573, -0.10489792537383652, -0.04424783268768806, 0.0072153389213209075, 0.030052085344292476, -0.31962758923221507, 0.031120318186919342, 0.047299071922741326, 0.10214950849666402, -0.08865705536929576, -0.11012528731953353, -0.02222960374025063, 0.08795339353068658, -0.0004842122964393557, 0.049400360063189284, 0.07997940272469534, -0.14130587609755554, -0.16983557269605024, 0.4262431810055389, -0.053664361503435655, -0.24723083508106763, 0.18347173739025852, -0.07544559844131216, -0.11678375410481115, 0.0595091134634121, 0.1512022688461656, 0.11960133782776303, -0.13968082630399908, 0.08560823240406351, -0.05804580300418514, 0.12286119116993433, 0.07221145938370335, 0.031936508894432336, 0.2029510952971792, 0.16060295902464664, 0.08884584618499503, 0.19454558363663074, -0.002604696263946342, -0.1208191636578295, -0.2733857497792649, -0.11242039060073622, -0.21420223196821936, 0.027153586807890973, -0.07745635428883167, -0.2221831110818835, 0.39160193417095734, 0.1262588670969093, 0.24026479843083057, 0.05840499855164606, 0.23062038747070546, 0.15153428337427532, 0.09492443311854698, 0.031394372963650004, 0.15756802740467588, 0.1267249602275074, 0.034496719226910826, -0.12650979217795885, 0.11543602299133546, 0.12691065233744933] |
711.2116 | A numerical approach for 3D manufacturing tolerances synthesis | Making a product conform to the functional requirements indicated by the
customer suppose to be able to manage the manufacturing process chosen to
realise the parts. A simulation step is generally performed to verify that the
expected generated deviations fit with these requirements. It is then necessary
to assess the actual deviations of the process in progress. This is usually
done by the verification of the conformity of the workpiece to manufacturing
tolerances at the end of each set-up. It is thus necessary to determine these
manufacturing tolerances. This step is called "manufacturing tolerance
synthesis". In this paper, a numerical method is proposed to perform 3D
manufacturing tolerances synthesis. This method uses the result of the
numerical analysis of tolerances to determine influent mall displacement of
surfaces. These displacements are described by small displacements torsors. An
algorithm is then proposed to determine suitable ISO manufacturing tolerances.
| cs.CE | making a product conform to the functional requirements indicated by the customer suppose to be able to manage the manufacturing process chosen to realise the parts a simulation step is generally performed to verify that the expected generated deviations fit with these requirements it is then necessary to assess the actual deviations of the process in progress this is usually done by the verification of the conformity of the workpiece to manufacturing tolerances at the end of each setup it is thus necessary to determine these manufacturing tolerances this step is called manufacturing tolerance synthesis in this paper a numerical method is proposed to perform 3d manufacturing tolerances synthesis this method uses the result of the numerical analysis of tolerances to determine influent mall displacement of surfaces these displacements are described by small displacements torsors an algorithm is then proposed to determine suitable iso manufacturing tolerances | [['making', 'a', 'product', 'conform', 'to', 'the', 'functional', 'requirements', 'indicated', 'by', 'the', 'customer', 'suppose', 'to', 'be', 'able', 'to', 'manage', 'the', 'manufacturing', 'process', 'chosen', 'to', 'realise', 'the', 'parts', 'a', 'simulation', 'step', 'is', 'generally', 'performed', 'to', 'verify', 'that', 'the', 'expected', 'generated', 'deviations', 'fit', 'with', 'these', 'requirements', 'it', 'is', 'then', 'necessary', 'to', 'assess', 'the', 'actual', 'deviations', 'of', 'the', 'process', 'in', 'progress', 'this', 'is', 'usually', 'done', 'by', 'the', 'verification', 'of', 'the', 'conformity', 'of', 'the', 'workpiece', 'to', 'manufacturing', 'tolerances', 'at', 'the', 'end', 'of', 'each', 'setup', 'it', 'is', 'thus', 'necessary', 'to', 'determine', 'these', 'manufacturing', 'tolerances', 'this', 'step', 'is', 'called', 'manufacturing', 'tolerance', 'synthesis', 'in', 'this', 'paper', 'a', 'numerical', 'method', 'is', 'proposed', 'to', 'perform', '3d', 'manufacturing', 'tolerances', 'synthesis', 'this', 'method', 'uses', 'the', 'result', 'of', 'the', 'numerical', 'analysis', 'of', 'tolerances', 'to', 'determine', 'influent', 'mall', 'displacement', 'of', 'surfaces', 'these', 'displacements', 'are', 'described', 'by', 'small', 'displacements', 'torsors', 'an', 'algorithm', 'is', 'then', 'proposed', 'to', 'determine', 'suitable', 'iso', 'manufacturing', 'tolerances']] | [-0.06616534392049613, 0.061737311647647564, -0.07760801813437616, 0.013083465209304337, -0.07606439286370902, -0.11543252154042918, 0.03243672980110429, 0.40790658597260304, -0.2996029259560451, -0.33855392774949744, 0.13443509689436536, -0.19489934380893428, -0.12397475808552683, 0.18378729777640268, -0.15081878212497454, 0.12039546695958873, 0.04456479491965769, -0.02279203961131303, -0.0331437659197908, -0.2841090130845359, 0.25911127534943745, 0.09740462469268743, 0.3115870104592344, 0.011129803735482162, 0.07707974314211218, -0.030930097221256527, -0.05143551741509813, 0.0024372587907000457, -0.1403416089001626, 0.14581086647964708, 0.2842143564883696, 0.10517651120149722, 0.2803521094626862, -0.41833292645695686, -0.13715276005996824, 0.08603802305879071, 0.07123491036935314, 0.06771157897390068, 0.002271854174753957, -0.25181119655552386, 0.13249779471247267, -0.16507773500490833, -0.1749327392540617, -0.09898497003022173, -0.010103230919586877, 0.007458356228236058, -0.3087586589820989, -0.05463589167171349, 0.037505449189753466, 0.03530975809473902, -0.009165588010434215, -0.05790179804579852, -0.014863468795912722, 0.15634039105298891, 0.02951392413504511, 0.0006861510648302836, 0.19076225716199674, -0.07233144280864308, -0.08481255884932941, 0.4334812522546886, 0.027456930052323192, -0.23984441962507744, 0.1493399650151905, -0.10587859027763855, -0.1392553590767545, 0.12829754005620025, 0.15979729376554694, 0.060614802881003654, -0.185865188387465, 0.036142259281280543, 0.06028257776689652, 0.19106552919551525, 0.050954800032155766, -0.060306693889736515, 0.15711908982683942, 0.21191895848510098, 0.07730646315987592, 0.14949684270756472, -0.06065370976264678, -0.04711455573433092, -0.3313579077334845, -0.16666887584461332, -0.1760376624584402, 0.022884054965027035, -0.026985396018685544, -0.17531864516028803, 0.33844630149741695, 0.20601152922728494, 0.14782605836907886, 0.07406096000300899, 0.3637506374451396, 0.10286544389984481, 0.10004426067382455, 0.00014328910037875175, 0.24360358276267294, 0.09667267108476427, 0.08633060690194164, -0.20424684823796868, 0.12800548182743002, 0.010769497966776564] |
711.2117 | Fractional Stability | A fractional generalization of variations is used to define a stability of
non-integer order. Fractional variational derivatives are suggested to describe
the properties of dynamical systems at fractional perturbations. We formulate
stability with respect to motion changes at fractional changes of variables.
Note that dynamical systems, which are unstable "in sense of Lyapunov", can be
stable with respect to fractional variations.
| physics.class-ph | a fractional generalization of variations is used to define a stability of noninteger order fractional variational derivatives are suggested to describe the properties of dynamical systems at fractional perturbations we formulate stability with respect to motion changes at fractional changes of variables note that dynamical systems which are unstable in sense of lyapunov can be stable with respect to fractional variations | [['a', 'fractional', 'generalization', 'of', 'variations', 'is', 'used', 'to', 'define', 'a', 'stability', 'of', 'noninteger', 'order', 'fractional', 'variational', 'derivatives', 'are', 'suggested', 'to', 'describe', 'the', 'properties', 'of', 'dynamical', 'systems', 'at', 'fractional', 'perturbations', 'we', 'formulate', 'stability', 'with', 'respect', 'to', 'motion', 'changes', 'at', 'fractional', 'changes', 'of', 'variables', 'note', 'that', 'dynamical', 'systems', 'which', 'are', 'unstable', 'in', 'sense', 'of', 'lyapunov', 'can', 'be', 'stable', 'with', 'respect', 'to', 'fractional', 'variations']] | [-0.17046373658126496, 0.11747885561074878, -0.1279301798642903, 0.08050694722170773, -0.08652415038010136, -0.0766090629813185, -0.027844990702865065, 0.31176841930776344, -0.34422550216072895, -0.30093295358648126, 0.1669167733319928, -0.2584770916060346, -0.17608319351174792, 0.13744321967032355, -0.154912503134673, 0.11359628873159651, -0.028497424465222437, 0.02537209085631566, -0.13258654132225842, -0.20591236644836722, 0.3315805153860176, -0.021873539267871223, 0.1511093205237975, -0.06824029567575113, 0.08731876384680633, -0.09813128023209874, -0.032526131627745314, 0.07331640485552002, -0.16360662990981106, 0.1556078885420947, 0.20869759661904116, -0.0553526228568593, 0.2959745215465788, -0.3632376139494972, -0.2372606369346136, 0.11500487068942825, 0.1131214175953484, 0.05261402643384931, 0.05692614849845757, -0.27666330961968566, 0.14896658527069404, -0.14182791084845048, -0.23348559733846638, -0.162976712064787, 0.1044619963580712, 0.10171953255890823, -0.30604017605302763, 0.13552192209257943, 0.026875051107738534, 0.021918934908529485, -0.10460876392154786, -0.06902586563383459, -0.06277238157936602, 0.07055273042900152, 0.045862110953808564, -0.009271841984791834, 0.11526360787970365, -0.06437489942296362, -0.18931822852254462, 0.3917001485213882, -0.10063032105710114, -0.2897247107791119, 0.1930060692467406, -0.15547284421312516, -0.1771281380664374, 0.14263175772961045, 0.1951171881519258, 0.13911594307721883, -0.11310154451515342, 0.02813618681317226, 0.05477373595120477, 0.19689610037097677, 0.09048827363132331, 0.13318768907796408, 0.1839106798355208, 0.1255056339422943, 0.16719576829403152, 0.1665367088185196, -0.03598381858319044, -0.18078843278230214, -0.30439436527304964, -0.14785569411565047, -0.1194996310237673, 0.03483476279089685, -0.0412328466925709, -0.18270653275559184, 0.38021487938087495, 0.16241811402142048, 0.15338525469185876, 0.060311612621575715, 0.18667208366325033, 0.24316819325150524, -0.004667931373734943, 0.01768585174634564, 0.18952068734578179, 0.1831830659667488, 0.12333300989121199, -0.2608470496565073, 0.0775090903883464, 0.0732078886300814] |
711.2118 | Measurements of dilepton continuum at the PHENIX experiment at RHIC | PHENIX has measured the dielectron continuum in sqrt(s_(NN))=200 GeV Au+Au
and p+p collisions. In minimum bias Au+Au collisions the dielectron yield in
the mass range between 150 and 750 MeV/c^2 is enhanced by a factor of 3.4 +/-
0.2(stat.) +/- 1.3(syst.) +/- 0.7(model) compared to the expectation from our
model of hadron decays that well reproduces the mass spectrum in p+p
collisions. The integrated yield increases faster with the centrality of the
collisions than the number of participating nucleons, suggesting emission from
scattering processes in the dense medium. The continuum yield between the
masses of the phi and the J/psi meson is consistent with expectations from
correlated ccbar production, though other mechanisms are not ruled out.
| nucl-ex | phenix has measured the dielectron continuum in sqrts_nn200 gev auau and pp collisions in minimum bias auau collisions the dielectron yield in the mass range between 150 and 750 mevc2 is enhanced by a factor of 34 02stat 13syst 07model compared to the expectation from our model of hadron decays that well reproduces the mass spectrum in pp collisions the integrated yield increases faster with the centrality of the collisions than the number of participating nucleons suggesting emission from scattering processes in the dense medium the continuum yield between the masses of the phi and the jpsi meson is consistent with expectations from correlated ccbar production though other mechanisms are not ruled out | [['phenix', 'has', 'measured', 'the', 'dielectron', 'continuum', 'in', 'sqrts_nn200', 'gev', 'auau', 'and', 'pp', 'collisions', 'in', 'minimum', 'bias', 'auau', 'collisions', 'the', 'dielectron', 'yield', 'in', 'the', 'mass', 'range', 'between', '150', 'and', '750', 'mevc2', 'is', 'enhanced', 'by', 'a', 'factor', 'of', '34', '02stat', '13syst', '07model', 'compared', 'to', 'the', 'expectation', 'from', 'our', 'model', 'of', 'hadron', 'decays', 'that', 'well', 'reproduces', 'the', 'mass', 'spectrum', 'in', 'pp', 'collisions', 'the', 'integrated', 'yield', 'increases', 'faster', 'with', 'the', 'centrality', 'of', 'the', 'collisions', 'than', 'the', 'number', 'of', 'participating', 'nucleons', 'suggesting', 'emission', 'from', 'scattering', 'processes', 'in', 'the', 'dense', 'medium', 'the', 'continuum', 'yield', 'between', 'the', 'masses', 'of', 'the', 'phi', 'and', 'the', 'jpsi', 'meson', 'is', 'consistent', 'with', 'expectations', 'from', 'correlated', 'ccbar', 'production', 'though', 'other', 'mechanisms', 'are', 'not', 'ruled', 'out']] | [-0.03256100109969599, 0.23610717752516003, -0.13835785688466526, 0.12930094809312973, 0.056849790554094524, -0.08850261815574154, -0.03517991699404125, 0.35208493258479784, -0.16996700093503542, -0.3176868603331968, -0.10931347479657104, -0.4128123496941823, 0.11566573219274037, 0.16293583094998862, 0.08018724334293179, 0.09332821528992749, 0.13265893381529686, 0.007475513343316769, -0.01412173559947405, -0.16455433821205848, 0.25810175354334725, 0.12119352153968066, 0.19378382077307574, 0.18238116370672028, 0.006343175424262881, 0.03921747202236604, -0.03771518138143749, -0.033355265810054595, -0.09555916009445095, 0.04428602815460181, 0.25443805375834927, 0.060305934114564606, 0.10626084327928506, -0.293557108063916, -0.10956220566627703, 0.1562053667273306, 0.15782999142122986, 0.024275121761352887, -0.05834162523180047, -0.2926644641639931, 0.13942230511539883, -0.2526097668991757, -0.0874950670279629, 0.055079950680789934, 0.0017548553961595254, 0.003072818142494985, -0.32153277786398704, 0.20864740201588056, -0.0695662551235208, 0.08114316599052732, -0.033735194305856045, -0.2465561130707751, -0.12555146572412923, -0.027228469176666943, 0.10072240168873188, 0.13309822113712602, 0.23328768744665598, -0.14570608135129856, -0.16495858546113595, 0.42398662944989546, -0.020395154903261364, -0.0657765368024619, 0.20500970519372327, -0.22988653451985946, -0.10173308415401802, 0.2332950250711292, 0.2426058251730865, 0.05272911507303694, -0.22473579274290906, 0.025803220830961697, -0.04762224917275099, 0.23774379370193596, 0.102452866521032, 0.09615953517329347, 0.1686820764069645, 0.1964500380719463, -0.04156565967579289, 0.06335966397091397, -0.11302554439836447, -0.1091064297527607, -0.3669727171239044, -0.05186102786891362, -0.07523926697571628, 0.06347979196821793, -0.09579850848409219, 0.0015019487119778724, 0.32166002628010965, 0.10839377339496943, 0.353511257539919, 0.03761128929909319, 0.2797672311259833, 0.12015765299013635, 0.07767230490597805, 0.14213991508586332, 0.36549629675989437, 0.21102679439562572, 0.21142066259302997, -0.25700847697485835, 0.036890701207864494, -0.012321425393955516] |
711.2119 | Goodness-of-fit Tests for high-dimensional Gaussian linear models | Let $(Y,(X_i)_{i\in\mathcal{I}})$ be a zero mean Gaussian vector and $V$ be a
subset of $\mathcal{I}$. Suppose we are given $n$ i.i.d. replications of the
vector $(Y,X)$. We propose a new test for testing that $Y$ is independent of
$(X_i)_{i\in \mathcal{I}\backslash V}$ conditionally to $(X_i)_{i\in V}$
against the general alternative that it is not. This procedure does not depend
on any prior information on the covariance of $X$ or the variance of $Y$ and
applies in a high-dimensional setting. It straightforwardly extends to test the
neighbourhood of a Gaussian graphical model. The procedure is based on a model
of Gaussian regression with random Gaussian covariates. We give non asymptotic
properties of the test and we prove that it is rate optimal (up to a possible
$\log(n)$ factor) over various classes of alternatives under some additional
assumptions. Besides, it allows us to derive non asymptotic minimax rates of
testing in this setting. Finally, we carry out a simulation study in order to
evaluate the performance of our procedure.
| math.ST stat.TH | let yx_i_iinmathcali be a zero mean gaussian vector and v be a subset of mathcali suppose we are given n iid replications of the vector yx we propose a new test for testing that y is independent of x_i_iin mathcalibackslash v conditionally to x_i_iin v against the general alternative that it is not this procedure does not depend on any prior information on the covariance of x or the variance of y and applies in a highdimensional setting it straightforwardly extends to test the neighbourhood of a gaussian graphical model the procedure is based on a model of gaussian regression with random gaussian covariates we give non asymptotic properties of the test and we prove that it is rate optimal up to a possible logn factor over various classes of alternatives under some additional assumptions besides it allows us to derive non asymptotic minimax rates of testing in this setting finally we carry out a simulation study in order to evaluate the performance of our procedure | [['let', 'yx_i_iinmathcali', 'be', 'a', 'zero', 'mean', 'gaussian', 'vector', 'and', 'v', 'be', 'a', 'subset', 'of', 'mathcali', 'suppose', 'we', 'are', 'given', 'n', 'iid', 'replications', 'of', 'the', 'vector', 'yx', 'we', 'propose', 'a', 'new', 'test', 'for', 'testing', 'that', 'y', 'is', 'independent', 'of', 'x_i_iin', 'mathcalibackslash', 'v', 'conditionally', 'to', 'x_i_iin', 'v', 'against', 'the', 'general', 'alternative', 'that', 'it', 'is', 'not', 'this', 'procedure', 'does', 'not', 'depend', 'on', 'any', 'prior', 'information', 'on', 'the', 'covariance', 'of', 'x', 'or', 'the', 'variance', 'of', 'y', 'and', 'applies', 'in', 'a', 'highdimensional', 'setting', 'it', 'straightforwardly', 'extends', 'to', 'test', 'the', 'neighbourhood', 'of', 'a', 'gaussian', 'graphical', 'model', 'the', 'procedure', 'is', 'based', 'on', 'a', 'model', 'of', 'gaussian', 'regression', 'with', 'random', 'gaussian', 'covariates', 'we', 'give', 'non', 'asymptotic', 'properties', 'of', 'the', 'test', 'and', 'we', 'prove', 'that', 'it', 'is', 'rate', 'optimal', 'up', 'to', 'a', 'possible', 'logn', 'factor', 'over', 'various', 'classes', 'of', 'alternatives', 'under', 'some', 'additional', 'assumptions', 'besides', 'it', 'allows', 'us', 'to', 'derive', 'non', 'asymptotic', 'minimax', 'rates', 'of', 'testing', 'in', 'this', 'setting', 'finally', 'we', 'carry', 'out', 'a', 'simulation', 'study', 'in', 'order', 'to', 'evaluate', 'the', 'performance', 'of', 'our', 'procedure']] | [-0.09797436215420731, 0.052065224855252334, -0.1299056194768083, 0.05106729330500678, -0.07926022298861204, -0.18891053540325473, 0.10096839190071744, 0.39910613218458685, -0.24459909219805878, -0.22598320483968298, 0.09701869890971178, -0.23300955809587853, -0.12743272079316695, 0.19780653156056183, -0.09872131406119457, 0.053879975099911596, 0.036402734754629795, 0.08708952488264114, -0.08121560192446894, -0.3278333503446292, 0.31255463677282425, 0.02518194661867555, 0.2747374504162907, -0.03492137845342967, 0.12536576661428936, 0.04249286175728208, -0.048008409090249275, 0.017826955420498895, -0.13456738454060985, 0.08835118204545479, 0.2173788279647053, 0.1643574644144459, 0.3192275952456928, -0.34117781317497536, -0.19839916819786063, 0.18516498791031177, 0.09944873869492922, 0.07196983778508516, 0.021880178954367096, -0.24377150703704256, 0.13413477818220398, -0.14292302791301797, -0.1109129095137, -0.10053907423961635, -0.003969813975301094, 0.017917240247209896, -0.39345780585994716, 0.059890677861403674, 0.11158322324272155, 0.02991344075417146, -0.008736022444592402, -0.12709543164379372, 0.024517449642611076, 0.07807756937250904, 0.05395567575157279, 0.041198343192596305, 0.10002085138055519, -0.04665928901979386, -0.08873812274768858, 0.32943227435689326, -0.08334383563381313, -0.2824045737364852, 0.1613198534909227, -0.14625803585641267, -0.1391089931243985, 0.08089600352530663, 0.19562699761321178, 0.13548226804449792, -0.1455807670462513, 0.14585050806955424, -0.0949329525152812, 0.13816178709314, 0.028367751726608086, -0.001390680749354055, 0.14448216749588028, 0.1318553641052326, 0.09667776832030518, 0.1439534697678826, -0.08889873080784683, -0.05197021164739698, -0.37095387457165774, -0.1684840261090047, -0.17890128190345245, 0.09455108180483832, -0.13238591202167388, -0.1934679863667797, 0.3619345238023415, 0.19685038026683488, 0.2172057391683821, 0.10222057396795874, 0.25240693354365845, 0.09520927218439217, 0.004985057876627074, 0.10794344421748708, 0.13836999177146936, 0.15290237442454005, -0.012947450415373258, -0.1424719031996707, 0.09365485329606865, 0.025743623553752537] |
711.212 | Non-Abelian gauge field effects and its relevance to spinning particle
dynamics in the technology of spintronics | We describe formally the precession of spin vector about the k-space
effective magnetic field in condensed matter system with spin orbital effects
as constituting a local transformation of the electron wavefunction which
necessarily invokes the SU(2) transformation rule to ensure covariance. We
showed a "no-precession" condition as pre-requisite for the spin gauge field to
exert its influence on spin particle motion. The effects of the spin gauge
field on spin particle motion were shown to be consistent in both classical and
quantum pictures, which hence should underpin theoretical explanations for
important effects in anomalous Hall, spin Hall, spin torque, optical Magnus,
geometric quantum computation.
| quant-ph cond-mat.mes-hall | we describe formally the precession of spin vector about the kspace effective magnetic field in condensed matter system with spin orbital effects as constituting a local transformation of the electron wavefunction which necessarily invokes the su2 transformation rule to ensure covariance we showed a noprecession condition as prerequisite for the spin gauge field to exert its influence on spin particle motion the effects of the spin gauge field on spin particle motion were shown to be consistent in both classical and quantum pictures which hence should underpin theoretical explanations for important effects in anomalous hall spin hall spin torque optical magnus geometric quantum computation | [['we', 'describe', 'formally', 'the', 'precession', 'of', 'spin', 'vector', 'about', 'the', 'kspace', 'effective', 'magnetic', 'field', 'in', 'condensed', 'matter', 'system', 'with', 'spin', 'orbital', 'effects', 'as', 'constituting', 'a', 'local', 'transformation', 'of', 'the', 'electron', 'wavefunction', 'which', 'necessarily', 'invokes', 'the', 'su2', 'transformation', 'rule', 'to', 'ensure', 'covariance', 'we', 'showed', 'a', 'noprecession', 'condition', 'as', 'prerequisite', 'for', 'the', 'spin', 'gauge', 'field', 'to', 'exert', 'its', 'influence', 'on', 'spin', 'particle', 'motion', 'the', 'effects', 'of', 'the', 'spin', 'gauge', 'field', 'on', 'spin', 'particle', 'motion', 'were', 'shown', 'to', 'be', 'consistent', 'in', 'both', 'classical', 'and', 'quantum', 'pictures', 'which', 'hence', 'should', 'underpin', 'theoretical', 'explanations', 'for', 'important', 'effects', 'in', 'anomalous', 'hall', 'spin', 'hall', 'spin', 'torque', 'optical', 'magnus', 'geometric', 'quantum', 'computation']] | [-0.154510694283549, 0.24105487660803263, -0.10321515844682756, 0.07790540312462062, -0.12353295177555851, -0.12207098095903843, -0.023985170320725266, 0.3647560642543927, -0.2522584189597553, -0.29582896797004543, 0.031797689130276585, -0.20493229115110578, -0.12937140035289293, 0.19058609544299543, 0.012545043309004435, 0.04820356649986369, -0.031055806566355298, 0.0576673412437831, -0.09545633140770556, -0.20138709270621388, 0.2670935658168373, 0.002273292341766861, 0.2679458898650392, 0.06185219769741327, 0.1600758263940733, 0.104124721933102, 0.025665655641735178, 0.015508039556082013, -0.09472798578694318, 0.0263716652582499, 0.20322294085675363, -0.04124217224081309, 0.16081766244837814, -0.4800391329578983, -0.1863195389761811, 0.021898619948153935, 0.1265074381496287, 0.21598914921853365, -0.0511669131047861, -0.30535544973156115, -0.008758258675812806, -0.1938156494825572, -0.144276407441052, -0.15130633939943702, 0.045974939881860126, -0.06928783857706682, -0.2550007852282628, 0.12416663350308828, 0.1272883318427914, 0.0768296977740179, -0.08077010296079448, -0.11205469631901897, -0.04967082495285759, 0.06541287760223144, 0.08737739959496607, 0.07443951634075312, 0.22335550518145839, -0.1597693877168072, -0.203372037557555, 0.3863388072807812, -0.03172377415354029, -0.23793415246232982, 0.12963034848239527, -0.2173923899609487, -0.09462591442867245, 0.10628637564323336, 0.14186769364021937, 0.047839519750887474, -0.13755379622187286, 0.07283988190154789, -0.008742878909756257, 0.12062905788493966, 0.0031810611897844423, 0.12141208837568326, 0.3548095690864093, 0.10537592427425303, 0.06247436858767879, 0.07720373860601046, -0.11655702916803562, -0.14728939801469237, -0.25864801255678666, -0.19234518645991328, -0.2085360410709151, 0.12247413905672005, -0.054433161279642095, -0.15760956527930864, 0.3855215033281197, 0.19634973613524953, 0.12309188211734579, -0.047650315961574465, 0.2651682943738635, 0.11878948896734533, 0.07495372215945961, 0.02489012423721911, 0.26915850061742425, 0.2533038197270622, 0.06945980028294534, -0.36056910208381204, 0.01673358110078041, 0.0693489460600088] |
711.2121 | Radiative Neutralino Production in Low Energy Supersymmetric Models | We study the production of the lightest neutralinos in the radiative process
$e^+e^- \to \tilde\chi^0_1 \tilde\chi^0_1\gamma$ in low energy supersymmetric
models for the International Linear Collider energies. This includes the
minimal supersymmetric standard model as well as its extension with an
additional chiral Higgs singlet superfield, the nonminimal supersymmetric
standard model. We compare and contrast the dependence of the signal cross
section on the parameters of the neutralino sector of the minimal and
nonminimal supersymmetric standard model. We also consider the background to
this process coming from the Standard Model process $e^+e^- \to \nu \bar\nu
\gamma$, as well as from the radiative production of the scalar partners of the
neutrinos (sneutrinos) $e^+e^- \to \tilde\nu \tilde\nu^\ast \gamma$, which can
be a background to the radiative neutralino production when the sneutrinos
decay invisibly. In low energy supersymmetric models radiative production of
the lightest neutralinos may be the only channel to study supersymmetric
partners of the Standard Model particles at the first stage of a linear
collider, since heavier neutralinos, charginos and sleptons may be too heavy to
be pair-produced at a $e^+ e^-$ machine with $\sqrt{s} =500\GeV$.
| hep-ph | we study the production of the lightest neutralinos in the radiative process ee to tildechi0_1 tildechi0_1gamma in low energy supersymmetric models for the international linear collider energies this includes the minimal supersymmetric standard model as well as its extension with an additional chiral higgs singlet superfield the nonminimal supersymmetric standard model we compare and contrast the dependence of the signal cross section on the parameters of the neutralino sector of the minimal and nonminimal supersymmetric standard model we also consider the background to this process coming from the standard model process ee to nu barnu gamma as well as from the radiative production of the scalar partners of the neutrinos sneutrinos ee to tildenu tildenuast gamma which can be a background to the radiative neutralino production when the sneutrinos decay invisibly in low energy supersymmetric models radiative production of the lightest neutralinos may be the only channel to study supersymmetric partners of the standard model particles at the first stage of a linear collider since heavier neutralinos charginos and sleptons may be too heavy to be pairproduced at a e e machine with sqrts 500gev | [['we', 'study', 'the', 'production', 'of', 'the', 'lightest', 'neutralinos', 'in', 'the', 'radiative', 'process', 'ee', 'to', 'tildechi0_1', 'tildechi0_1gamma', 'in', 'low', 'energy', 'supersymmetric', 'models', 'for', 'the', 'international', 'linear', 'collider', 'energies', 'this', 'includes', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'as', 'well', 'as', 'its', 'extension', 'with', 'an', 'additional', 'chiral', 'higgs', 'singlet', 'superfield', 'the', 'nonminimal', 'supersymmetric', 'standard', 'model', 'we', 'compare', 'and', 'contrast', 'the', 'dependence', 'of', 'the', 'signal', 'cross', 'section', 'on', 'the', 'parameters', 'of', 'the', 'neutralino', 'sector', 'of', 'the', 'minimal', 'and', 'nonminimal', 'supersymmetric', 'standard', 'model', 'we', 'also', 'consider', 'the', 'background', 'to', 'this', 'process', 'coming', 'from', 'the', 'standard', 'model', 'process', 'ee', 'to', 'nu', 'barnu', 'gamma', 'as', 'well', 'as', 'from', 'the', 'radiative', 'production', 'of', 'the', 'scalar', 'partners', 'of', 'the', 'neutrinos', 'sneutrinos', 'ee', 'to', 'tildenu', 'tildenuast', 'gamma', 'which', 'can', 'be', 'a', 'background', 'to', 'the', 'radiative', 'neutralino', 'production', 'when', 'the', 'sneutrinos', 'decay', 'invisibly', 'in', 'low', 'energy', 'supersymmetric', 'models', 'radiative', 'production', 'of', 'the', 'lightest', 'neutralinos', 'may', 'be', 'the', 'only', 'channel', 'to', 'study', 'supersymmetric', 'partners', 'of', 'the', 'standard', 'model', 'particles', 'at', 'the', 'first', 'stage', 'of', 'a', 'linear', 'collider', 'since', 'heavier', 'neutralinos', 'charginos', 'and', 'sleptons', 'may', 'be', 'too', 'heavy', 'to', 'be', 'pairproduced', 'at', 'a', 'e', 'e', 'machine', 'with', 'sqrts', '500gev']] | [-0.024357229138951043, 0.2616712071512027, -0.018206940989035206, 0.1993922500831694, -0.06102046493340183, -0.20670938608110756, 0.004966603531628042, 0.2837360083931, -0.24241314239145534, -0.2804148550661331, 0.006518405909347977, -0.34097787247517625, 0.055296223963031896, 0.12293589984545031, 0.06271114625867355, 0.10004788360501815, 0.09779012537485844, 0.03640155940241105, -0.004866402758587454, -0.22610043895531545, 0.24826479478915398, 0.11184725251451537, 0.14515931293796244, 0.10176550944310588, 0.02226704294113694, 0.0063435558053488664, 0.012017542930521272, -0.1645038835402276, -0.10367391135895977, 0.06944152262294664, 0.1848545117283671, 0.09188753311849526, 0.07689657715979863, -0.35983550262234704, -0.1630599868609696, 0.27613121701555476, 0.16447757705165122, 0.07144043169147964, -0.03556316172565661, -0.3123278435319662, 0.09819432653083994, -0.27521095050851235, -0.06122060605840808, 0.0009008356382617274, -0.05815539880831902, -0.14117206892099332, -0.35081204618453177, 0.0859157953422353, -0.07365943953470402, -0.03327495829781165, 0.012121378312617339, -0.1756284757164886, -0.1544181829393917, -0.052787260424717, 0.2124758413937761, -0.020670848896072524, 0.2167490659785029, -0.21396110943719945, -0.20544081872039652, 0.44473747835570093, -0.17080621470923762, -0.19038683882209698, 0.17618901684213228, -0.14104816241542228, -0.1315634684272211, 0.14536378129756683, 0.2765032307924451, 0.10940613866204749, -0.16909379577681083, 0.24357967153380347, -0.007812101754825562, 0.14346232099043255, 0.04039453865859557, 0.03618466318207415, 0.27463809544774326, 0.2289201314334531, 0.00870970788638334, 0.07824462018403652, -0.06791307327645907, -0.07952336993672558, -0.47420448572249024, -0.1824717659201171, -0.02350409820021407, 0.047078572712662456, -0.04296458503962935, -0.10220044108762129, 0.40247766548717345, 0.0750923400581185, 0.26593350788226, 0.05208921352514645, 0.31717070455386026, 0.10047345987546283, 0.056748618182059174, 0.026993517389338514, 0.3353319689128044, 0.134752569891311, 0.11752253151876298, -0.2345124956321072, -0.07365034647739015, 0.05462368527125265] |
711.2122 | A Note on the Viability of Gauss-Bonnet Cosmology | In this paper, we analyze the viability of a vacuum Gauss-Bonnet cosmology by
examining the dynamics of the homogeneous and anisotropic background in 4+1
dimensions. The trajectories of the system either originate from the standard
singularity or from non-standard type, the later is characterized by the
divergence of time derivative of the Hubble parameters for its finite value. At
the onset, the system should relax to Einstein phase at late times as the
effect of Gauss-Bonnet term becomes negligible in the low energy regime.
However, we find that most of the trajectories emerging from the standard
big-bang singularity lead to future re-collapse whereas the system beginning
its evolution from the non-standard singularity enters the Kasner regime at
late times. This leads to the conclusion that the measure of trajectories
giving rise to a smooth evolution from a standard singularity to the Einstein
phase is negligibly small for generic initial conditions.
| hep-th astro-ph gr-qc hep-ph | in this paper we analyze the viability of a vacuum gaussbonnet cosmology by examining the dynamics of the homogeneous and anisotropic background in 41 dimensions the trajectories of the system either originate from the standard singularity or from nonstandard type the later is characterized by the divergence of time derivative of the hubble parameters for its finite value at the onset the system should relax to einstein phase at late times as the effect of gaussbonnet term becomes negligible in the low energy regime however we find that most of the trajectories emerging from the standard bigbang singularity lead to future recollapse whereas the system beginning its evolution from the nonstandard singularity enters the kasner regime at late times this leads to the conclusion that the measure of trajectories giving rise to a smooth evolution from a standard singularity to the einstein phase is negligibly small for generic initial conditions | [['in', 'this', 'paper', 'we', 'analyze', 'the', 'viability', 'of', 'a', 'vacuum', 'gaussbonnet', 'cosmology', 'by', 'examining', 'the', 'dynamics', 'of', 'the', 'homogeneous', 'and', 'anisotropic', 'background', 'in', '41', 'dimensions', 'the', 'trajectories', 'of', 'the', 'system', 'either', 'originate', 'from', 'the', 'standard', 'singularity', 'or', 'from', 'nonstandard', 'type', 'the', 'later', 'is', 'characterized', 'by', 'the', 'divergence', 'of', 'time', 'derivative', 'of', 'the', 'hubble', 'parameters', 'for', 'its', 'finite', 'value', 'at', 'the', 'onset', 'the', 'system', 'should', 'relax', 'to', 'einstein', 'phase', 'at', 'late', 'times', 'as', 'the', 'effect', 'of', 'gaussbonnet', 'term', 'becomes', 'negligible', 'in', 'the', 'low', 'energy', 'regime', 'however', 'we', 'find', 'that', 'most', 'of', 'the', 'trajectories', 'emerging', 'from', 'the', 'standard', 'bigbang', 'singularity', 'lead', 'to', 'future', 'recollapse', 'whereas', 'the', 'system', 'beginning', 'its', 'evolution', 'from', 'the', 'nonstandard', 'singularity', 'enters', 'the', 'kasner', 'regime', 'at', 'late', 'times', 'this', 'leads', 'to', 'the', 'conclusion', 'that', 'the', 'measure', 'of', 'trajectories', 'giving', 'rise', 'to', 'a', 'smooth', 'evolution', 'from', 'a', 'standard', 'singularity', 'to', 'the', 'einstein', 'phase', 'is', 'negligibly', 'small', 'for', 'generic', 'initial', 'conditions']] | [-0.1373627138180503, 0.1326817283158501, -0.1372926957369782, 0.07453297800384462, -0.04638816993062695, -0.12362535003262262, -0.0017382828953365485, 0.24295688441644112, -0.26558207886681584, -0.2513652920629829, 0.12163396079015608, -0.2765580488368869, -0.08141379137057811, 0.16144208089603732, -0.030230330508202313, -0.01981330746784806, 0.03951254479587078, 0.05604233634502937, -0.10888780666825672, -0.23051788562908768, 0.39521252930319556, 0.09917207359646757, 0.24366664942353963, 0.011578836267193159, 0.0933348916315784, -0.04978848523460329, 0.012423096441974242, 0.036913097463548185, -0.1437373454530219, 0.004078678955944876, 0.174292243088906, 0.08719487788155675, 0.24985287788013616, -0.4226495717962583, -0.2154060765169561, 0.13699746947269886, 0.12641926730206857, 0.15752868467010558, -0.02089067161180234, -0.28654457475369177, 0.05985826871784714, -0.14026925146385716, -0.1852302450981612, 0.012446844666264952, 0.02509502211896082, -0.05579884689068422, -0.22549394909602902, 0.13757489511122306, 0.03809797695837915, -0.02105150310943524, -0.0693934192477415, -0.04460216581899052, -0.018353891329218944, 0.10264514025455962, 0.11220944460791846, 0.04584954846339921, 0.11451630705657105, -0.16191214709853133, -0.029810096396443744, 0.4003559479614099, -0.14234556004560242, -0.1142159666121006, 0.17780407985672356, -0.19974854530766606, -0.07970572712831199, 0.16313990454561766, 0.11813399586787758, 0.09828496794061115, -0.13025620818138123, 0.14207931890598655, 0.09436550564986343, 0.1254588129154096, 0.09356947362422943, 0.031146673616021872, 0.26681422113751374, 0.14093422458817562, 0.04069043459991614, 0.11058962874114514, -0.07644054271591207, -0.13025743298077336, -0.3680149216825763, -0.13763731696332496, -0.14152103231598934, 0.09474476552878817, -0.1385283061519537, -0.18195539239794015, 0.3894155022300159, 0.12734259555737176, 0.21180302085199704, 0.04172528739708165, 0.24923536414901415, 0.11503934578271582, 0.04648976671276614, 0.051784798784792654, 0.3200233160331845, 0.06291601590346545, 0.16504385670647026, -0.2586706384954353, 0.033526562293991445, 0.05816190732643008] |
711.2123 | Ergodic properties of sub-hyperbolic functions with polynomial
Schwarzian derivative | The ergodic theory and geometry of the Julia set of meromorphic functions on
the complex plane with polynomial Schwarzian derivative is investigated under
the condition that the forward trajectory of asymptotic values in the Julia set
is bounded and the map $f$ restricted to its closure is expanding, the property
refered to as sub-expanding. We first show the existence, uniqueness,
conservativity and ergodicity of a conformal measure $m$ with minimal exponent
$h$; furthermore, we show weak metrical exactness of this measure. Then we
prove the existence of a $\sg$--finite invariant measure $\mu$ absolutely
continuous with respect to $m$. Our main result states that $\mu$ is finite if
and only if the order $\rho$ of the function $f$ satisfies the condition
$h>3\frac{\rho}{\rho +1}$. When finite, this measure is shown to be metrically
exact. We also establish a version of Bowen's formula showing that the exponent
$h$ equals the Hausdorff dimension of the Julia set of $f$.
| math.DS | the ergodic theory and geometry of the julia set of meromorphic functions on the complex plane with polynomial schwarzian derivative is investigated under the condition that the forward trajectory of asymptotic values in the julia set is bounded and the map f restricted to its closure is expanding the property refered to as subexpanding we first show the existence uniqueness conservativity and ergodicity of a conformal measure m with minimal exponent h furthermore we show weak metrical exactness of this measure then we prove the existence of a sgfinite invariant measure mu absolutely continuous with respect to m our main result states that mu is finite if and only if the order rho of the function f satisfies the condition h3fracrhorho 1 when finite this measure is shown to be metrically exact we also establish a version of bowens formula showing that the exponent h equals the hausdorff dimension of the julia set of f | [['the', 'ergodic', 'theory', 'and', 'geometry', 'of', 'the', 'julia', 'set', 'of', 'meromorphic', 'functions', 'on', 'the', 'complex', 'plane', 'with', 'polynomial', 'schwarzian', 'derivative', 'is', 'investigated', 'under', 'the', 'condition', 'that', 'the', 'forward', 'trajectory', 'of', 'asymptotic', 'values', 'in', 'the', 'julia', 'set', 'is', 'bounded', 'and', 'the', 'map', 'f', 'restricted', 'to', 'its', 'closure', 'is', 'expanding', 'the', 'property', 'refered', 'to', 'as', 'subexpanding', 'we', 'first', 'show', 'the', 'existence', 'uniqueness', 'conservativity', 'and', 'ergodicity', 'of', 'a', 'conformal', 'measure', 'm', 'with', 'minimal', 'exponent', 'h', 'furthermore', 'we', 'show', 'weak', 'metrical', 'exactness', 'of', 'this', 'measure', 'then', 'we', 'prove', 'the', 'existence', 'of', 'a', 'sgfinite', 'invariant', 'measure', 'mu', 'absolutely', 'continuous', 'with', 'respect', 'to', 'm', 'our', 'main', 'result', 'states', 'that', 'mu', 'is', 'finite', 'if', 'and', 'only', 'if', 'the', 'order', 'rho', 'of', 'the', 'function', 'f', 'satisfies', 'the', 'condition', 'h3fracrhorho', '1', 'when', 'finite', 'this', 'measure', 'is', 'shown', 'to', 'be', 'metrically', 'exact', 'we', 'also', 'establish', 'a', 'version', 'of', 'bowens', 'formula', 'showing', 'that', 'the', 'exponent', 'h', 'equals', 'the', 'hausdorff', 'dimension', 'of', 'the', 'julia', 'set', 'of', 'f']] | [-0.1712051780157612, 0.08829422561623353, -0.11235916656120312, 0.06650563915747243, -0.061860745052016636, -0.11681467915370472, 0.04442838159172281, 0.3095557670749258, -0.3195235953102575, -0.16870353500378674, 0.10721739261383559, -0.28040568639622315, -0.141793437648295, 0.16192995947724403, -0.06923451539325087, 0.07850403102671216, 0.03294496405348917, 0.11388990312422577, -0.07641651168600411, -0.25017010233989967, 0.3686576717269705, -0.042479704448181256, 0.22421851365269455, 0.10349278705076645, 0.14812049661505675, -0.03644740972729204, 0.01477150149386082, 0.016820912139098112, -0.21418050375661168, 0.08899063418280811, 0.18291085975024066, 0.13400556152306595, 0.2632476297011109, -0.28306897745565757, -0.14303109233610725, 0.21172055410907456, 0.06251060887926112, -0.04097815923954553, 0.023586433566953547, -0.2845416829069635, 0.1928789055704041, -0.10350516168278102, -0.22233848302551595, -0.08095243948781372, 0.08543085496823646, 0.030897905345466967, -0.29581172234764763, 0.03419984664632418, 0.13755915658456566, 0.07876931263231918, -0.06667448338626664, -0.052357761749973225, -0.0854801207529626, 0.07373812539969406, 0.04368691368635107, 0.09480443089207831, 0.08624136079360094, -0.04323662031981114, -0.060275137112751655, 0.34474403905302387, -0.12841293558334368, -0.28468689677844705, 0.17622674599375673, -0.2499241158550017, -0.1372947410349489, 0.10322725487088447, 0.07276096898376157, 0.12300607844831814, -0.0911225011825177, 0.23385085542471834, -0.11276059421575874, 0.15078208857142417, 0.09349468546478372, 0.02383432334815887, 0.08544229141376777, 0.07437796170186055, 0.18223672061790958, 0.19591616988902005, -0.0035439402180552286, -0.044751706412314796, -0.38024586994862675, -0.17574661850736256, -0.2009579133986048, 0.11298820384361438, -0.11677385669923081, -0.20369797255472422, 0.3636651075763726, 0.09965452823072203, 0.1798432618532771, 0.15521204045599965, 0.2398962637311534, 0.16672209179820416, -0.0029979857285261937, 0.08789113648297069, 0.1504261646340111, 0.18624839832007542, 0.003788947788722764, -0.191904256239803, 0.03440663631313088, 0.17012650129646845] |
711.2124 | Kondo effect in a semiconductor quantum dot coupled to ferromagnetic
electrodes | Using a laterally-fabricated quantum-dot (QD) spin-valve device, we
experimentally study the Kondo effect in the electron transport through a
semiconductor QD with an odd number of electrons (N). In a parallel magnetic
configuration of the ferromagnetic electrodes, the Kondo resonance at N = 3
splits clearly without external magnetic fields. With applying magnetic fields
(B), the splitting is gradually reduced, and then the Kondo effect is almost
restored at B = 1.2 T. This means that, in the Kondo regime, an inverse
effective magnetic field of B ~ 1.2 T can be applied to the QD in the parallel
magnetic configuration of the ferromagnetic electrodes.
| cond-mat.mes-hall cond-mat.mtrl-sci | using a laterallyfabricated quantumdot qd spinvalve device we experimentally study the kondo effect in the electron transport through a semiconductor qd with an odd number of electrons n in a parallel magnetic configuration of the ferromagnetic electrodes the kondo resonance at n 3 splits clearly without external magnetic fields with applying magnetic fields b the splitting is gradually reduced and then the kondo effect is almost restored at b 12 t this means that in the kondo regime an inverse effective magnetic field of b 12 t can be applied to the qd in the parallel magnetic configuration of the ferromagnetic electrodes | [['using', 'a', 'laterallyfabricated', 'quantumdot', 'qd', 'spinvalve', 'device', 'we', 'experimentally', 'study', 'the', 'kondo', 'effect', 'in', 'the', 'electron', 'transport', 'through', 'a', 'semiconductor', 'qd', 'with', 'an', 'odd', 'number', 'of', 'electrons', 'n', 'in', 'a', 'parallel', 'magnetic', 'configuration', 'of', 'the', 'ferromagnetic', 'electrodes', 'the', 'kondo', 'resonance', 'at', 'n', '3', 'splits', 'clearly', 'without', 'external', 'magnetic', 'fields', 'with', 'applying', 'magnetic', 'fields', 'b', 'the', 'splitting', 'is', 'gradually', 'reduced', 'and', 'then', 'the', 'kondo', 'effect', 'is', 'almost', 'restored', 'at', 'b', '12', 't', 'this', 'means', 'that', 'in', 'the', 'kondo', 'regime', 'an', 'inverse', 'effective', 'magnetic', 'field', 'of', 'b', '12', 't', 'can', 'be', 'applied', 'to', 'the', 'qd', 'in', 'the', 'parallel', 'magnetic', 'configuration', 'of', 'the', 'ferromagnetic', 'electrodes']] | [-0.20799621200047222, 0.24729304519593762, 0.005637075438505352, 0.028866255103776436, 0.013094561081203156, -0.2046341954748893, 0.04607280244645063, 0.3827313005204986, -0.281324267304401, -0.33231410936517, -0.05495870575806735, -0.26432792725281257, -0.05493016890134884, 0.18276484570659624, 0.07906501191566781, -0.04732223758289572, -0.0160233610042251, 0.015854304176893565, -0.05830211312012138, -0.22244126123657432, 0.27377843856811523, -0.00462817859439419, 0.26791379302002416, 0.08707795660057575, 0.026289509008390746, 0.033938112493493766, 0.18612443514647756, 0.08746238815422991, -0.07755811368427896, -0.004924488705721232, 0.19641876266116626, -0.11634038097345002, 0.2362295844509165, -0.45388924247944856, -0.1197309653357704, 0.022617346754684898, 0.18483623836447696, 0.13542792303395448, -0.047818638799287896, -0.27966676986232253, 0.08429443691442214, -0.1203238804649451, -0.07729096119153765, -0.03452786240763593, -0.0066566211390447355, -0.04975469052874584, -0.33613566176431015, 0.04049740089789393, 0.10402682820325809, 0.13259121819888012, -0.051935668605942245, -0.1048244334074973, -0.024139808924260115, 0.05478647117973259, 0.018136484073567213, 0.10431529071855147, 0.22471764677729789, -0.10132153768156942, -0.1453560711124377, 0.2817491866685081, -0.09122882345184168, -0.12819750979542732, 0.12563948706714528, -0.2341272217212337, -0.014183088233417804, 0.1510726560234544, 0.07475722316505, 0.10240365656111206, -0.1321372370890314, 0.17631226546525272, -0.016600590770935068, 0.14403430560815822, 0.03227818469599922, 0.0176722902740066, 0.24621430444208406, 0.18879841321544483, 0.076014541237071, 0.1944230223560964, -0.18732335389877605, -0.011406170524712099, -0.21497482134232132, -0.1773993747105988, -0.24471973553576534, 0.12134135559680734, -0.0857409204776793, -0.16344326180820862, 0.42244478664130414, 0.1569005550106637, 0.17399446770438168, -0.12749158437041067, 0.2883125073691406, 0.12016893670626796, 0.09000208305303321, 0.05612012297710367, 0.20378193368047182, 0.24366330573943876, 0.1481039944856363, -0.3618501029161755, -0.015010902206275132, -0.02577518837729303] |
711.2125 | Scalar radius of the pion and two photons into two pions. Strong S-wave
final state interactions | The quadratic pion scalar radius, <r^2>^\pi_s, plays an important role for
present precise determinations of \pi\pi scattering. The solution of the
Muskhelishvili-Omn\`es equations for the non-strange null isospin (I) pion
scalar form factor determines that <r^2>^\pi_s=(0.61\pm 0.04) fm^2. However, by
using an Omn\`es representation of this form factor, Yndur\'ain recently
obtains <r^2>^\pi_s=(0.75\pm 0.07) fm^2. A large discrepancy between both
values, given the precision, then results. We show that Yndur\'ain's method is
indeed compatible with the determinations from the Muskhelishvili-Omn\`es
equations once a zero in the scalar form factor for some S-wave I=0 T-matrices
is considered. Once this is accounted for, the resulting value is
<r^2>^\pi=(0.63\pm 0.05) fm^2.
On the other hand, we perform a theoretical study of the reaction
\gamma\gamma\to \pi^0\pi^0 based on dispersion relations. The large source of
uncertainty for \sqrt{s}\gtrsim 0.5 GeV, due to variations in the phase used in
the Omn\`es function above the K\bar{K} threshold, is removed by taking one
more subtraction in the dispersion relation. This allows us to make sharper
predictions for the cross section so that one could use this reaction to
distinguish between different low energy \pi\pi parameterizations, once
independent experiments are available. We also study the role played by the
\sigma or f_0(600) meson in this reaction and determine its width to two
photons.
| hep-ph | the quadratic pion scalar radius r2pi_s plays an important role for present precise determinations of pipi scattering the solution of the muskhelishviliomnes equations for the nonstrange null isospin i pion scalar form factor determines that r2pi_s061pm 004 fm2 however by using an omnes representation of this form factor yndurain recently obtains r2pi_s075pm 007 fm2 a large discrepancy between both values given the precision then results we show that yndurains method is indeed compatible with the determinations from the muskhelishviliomnes equations once a zero in the scalar form factor for some swave i0 tmatrices is considered once this is accounted for the resulting value is r2pi063pm 005 fm2 on the other hand we perform a theoretical study of the reaction gammagammato pi0pi0 based on dispersion relations the large source of uncertainty for sqrtsgtrsim 05 gev due to variations in the phase used in the omnes function above the kbark threshold is removed by taking one more subtraction in the dispersion relation this allows us to make sharper predictions for the cross section so that one could use this reaction to distinguish between different low energy pipi parameterizations once independent experiments are available we also study the role played by the sigma or f_0600 meson in this reaction and determine its width to two photons | [['the', 'quadratic', 'pion', 'scalar', 'radius', 'r2pi_s', 'plays', 'an', 'important', 'role', 'for', 'present', 'precise', 'determinations', 'of', 'pipi', 'scattering', 'the', 'solution', 'of', 'the', 'muskhelishviliomnes', 'equations', 'for', 'the', 'nonstrange', 'null', 'isospin', 'i', 'pion', 'scalar', 'form', 'factor', 'determines', 'that', 'r2pi_s061pm', '004', 'fm2', 'however', 'by', 'using', 'an', 'omnes', 'representation', 'of', 'this', 'form', 'factor', 'yndurain', 'recently', 'obtains', 'r2pi_s075pm', '007', 'fm2', 'a', 'large', 'discrepancy', 'between', 'both', 'values', 'given', 'the', 'precision', 'then', 'results', 'we', 'show', 'that', 'yndurains', 'method', 'is', 'indeed', 'compatible', 'with', 'the', 'determinations', 'from', 'the', 'muskhelishviliomnes', 'equations', 'once', 'a', 'zero', 'in', 'the', 'scalar', 'form', 'factor', 'for', 'some', 'swave', 'i0', 'tmatrices', 'is', 'considered', 'once', 'this', 'is', 'accounted', 'for', 'the', 'resulting', 'value', 'is', 'r2pi063pm', '005', 'fm2', 'on', 'the', 'other', 'hand', 'we', 'perform', 'a', 'theoretical', 'study', 'of', 'the', 'reaction', 'gammagammato', 'pi0pi0', 'based', 'on', 'dispersion', 'relations', 'the', 'large', 'source', 'of', 'uncertainty', 'for', 'sqrtsgtrsim', '05', 'gev', 'due', 'to', 'variations', 'in', 'the', 'phase', 'used', 'in', 'the', 'omnes', 'function', 'above', 'the', 'kbark', 'threshold', 'is', 'removed', 'by', 'taking', 'one', 'more', 'subtraction', 'in', 'the', 'dispersion', 'relation', 'this', 'allows', 'us', 'to', 'make', 'sharper', 'predictions', 'for', 'the', 'cross', 'section', 'so', 'that', 'one', 'could', 'use', 'this', 'reaction', 'to', 'distinguish', 'between', 'different', 'low', 'energy', 'pipi', 'parameterizations', 'once', 'independent', 'experiments', 'are', 'available', 'we', 'also', 'study', 'the', 'role', 'played', 'by', 'the', 'sigma', 'or', 'f_0600', 'meson', 'in', 'this', 'reaction', 'and', 'determine', 'its', 'width', 'to', 'two', 'photons']] | [-0.10327256161096429, 0.15125761729238243, -0.0986053468517516, 0.10885126220629267, -0.05929242652179538, -0.11910008965734986, 0.047706669505802546, 0.3218870350398159, -0.2006614981894044, -0.2705530078973675, -0.007513302777092994, -0.32011642970336246, -0.06622119200784839, 0.17475278269845973, 0.04361873502946562, 0.0585678963023401, 0.07205039366758047, 0.04848147840306595, -0.08038939882389265, -0.17985908008137816, 0.3498205873746299, 0.031601219471759985, 0.22411890145377728, 0.12158873584121466, 0.04950036816321458, 0.036554956735575184, -0.03254885455044571, -0.043321126091163516, -0.17870967220545242, 0.09802872584997743, 0.24059302294905216, 0.0661365719897555, 0.1801939576657282, -0.3442462133851064, -0.14332718219257135, 0.10978076912930622, 0.15614380516732732, 0.09862261270577817, -0.016535992747983123, -0.2606920966167669, 0.09824309842087382, -0.16983566799983923, -0.14597480186004785, -0.07075103182696561, 0.04462377243092652, -0.07370652633905861, -0.3034453494159352, 0.11042358982025259, -0.016102266184094806, 0.025661402078545628, -0.06013431749953371, -0.2135470828158412, -0.002521468328698966, 0.09592022903708984, 0.08831534219302849, 0.08443175993760224, 0.12128693977334865, -0.13447848268714846, -0.045997694188139544, 0.40686448478558357, -0.08909850509090413, -0.2097820748433133, 0.07326511545376717, -0.14818687882760298, -0.1354325667629918, 0.14651847191060474, 0.14177573938822544, 0.05778636961190057, -0.17371179038154835, 0.08010982254681466, -0.022549518300242866, 0.21727231897611693, 0.10439187005850607, 0.018170507460526654, 0.1699638546080045, 0.148356067535247, 0.0006395180615178053, 0.06351715316326731, -0.09773558968282192, -0.09126621451462813, -0.34939746637851143, -0.10681068950562157, -0.10011012347852069, 0.07060494398583482, -0.12022195838256525, -0.0909474829553766, 0.31514597249190335, 0.12086238855735629, 0.25824144488419315, 0.014797294753095235, 0.30881461321155806, 0.17572005379693087, 0.0846092481298849, 0.06137032521627663, 0.31687921801076385, 0.1897566972889798, 0.07413571322750714, -0.24660279876709992, 0.05724646497837263, 0.044593117450665375] |
711.2126 | Direct observation of higher-order whispering-gallery modes in VCSELs at
room temperature by embedding a defect-free surface micro-structure | We propose and demonstrate a direct method to observe higher-order
whispering-gallery modes in vertical cavity surface emitting lasers (VCSELs) at
room temperature. Instead of introducing any defect mode, we show that
suppression of lower-order cavity modes can be achieved by destroying vertical
reflectors with a surface micro-structure. Up to the 23rd azimuthal order
whispering-gallery mode confined laterally by the native oxide layers is
observed in experiments through collecting near-field radiation patterns.
Various vertical emission transverse modes are identified by the spectrum in
experiments as well as numerical simulations.
| physics.optics | we propose and demonstrate a direct method to observe higherorder whisperinggallery modes in vertical cavity surface emitting lasers vcsels at room temperature instead of introducing any defect mode we show that suppression of lowerorder cavity modes can be achieved by destroying vertical reflectors with a surface microstructure up to the 23rd azimuthal order whisperinggallery mode confined laterally by the native oxide layers is observed in experiments through collecting nearfield radiation patterns various vertical emission transverse modes are identified by the spectrum in experiments as well as numerical simulations | [['we', 'propose', 'and', 'demonstrate', 'a', 'direct', 'method', 'to', 'observe', 'higherorder', 'whisperinggallery', 'modes', 'in', 'vertical', 'cavity', 'surface', 'emitting', 'lasers', 'vcsels', 'at', 'room', 'temperature', 'instead', 'of', 'introducing', 'any', 'defect', 'mode', 'we', 'show', 'that', 'suppression', 'of', 'lowerorder', 'cavity', 'modes', 'can', 'be', 'achieved', 'by', 'destroying', 'vertical', 'reflectors', 'with', 'a', 'surface', 'microstructure', 'up', 'to', 'the', '23rd', 'azimuthal', 'order', 'whisperinggallery', 'mode', 'confined', 'laterally', 'by', 'the', 'native', 'oxide', 'layers', 'is', 'observed', 'in', 'experiments', 'through', 'collecting', 'nearfield', 'radiation', 'patterns', 'various', 'vertical', 'emission', 'transverse', 'modes', 'are', 'identified', 'by', 'the', 'spectrum', 'in', 'experiments', 'as', 'well', 'as', 'numerical', 'simulations']] | [-0.14425436475060202, 0.23723721478811718, -0.034555657010059804, -0.03970055144269612, -0.03389787887731059, -0.12882315342060544, 0.007408235368281815, 0.48424344388133084, -0.2512201848228208, -0.30854832353493705, 0.024892221026344818, -0.2876236116598276, -0.10415645922132005, 0.22830538046863777, 0.032295550854707304, 0.06155440215529366, 0.048957556316798385, -0.10383210488891398, 0.011423293482618068, -0.11213903786318208, 0.2579323971294798, 0.08133022487163544, 0.3367439979073507, 0.07032746349630709, 0.0761554536557841, -0.06160190301968462, 0.028910629599439828, 0.002910303713923151, -0.11979996687668146, 0.03385761672292243, 0.24979695860846815, -0.034590514207428154, 0.24689497888109393, -0.5046262868722393, -0.24958286924414674, -0.003988268361850219, 0.20794392174734225, 0.13672457232182336, -0.0733161212622442, -0.2762176798952913, 0.07258712388151749, -0.1038679541406137, -0.15509471970885483, -0.08550314952365377, -0.08892727526306937, -0.009317560385997322, -0.24080327851697803, 0.08294904001311144, 0.04689834243617952, 0.0991301938378125, -0.003594885310369798, -0.02267077605938539, -0.10041235794117463, 0.03582827861299103, 0.024209031927801498, -0.014016258652025665, 0.23795896469065073, -0.07779042661356718, -0.14535114500904456, 0.35243114414201543, -0.13695242726349866, -0.13834535986693067, 0.15968824945792387, -0.21476954484718258, 0.05134032109477134, 0.1972875275532715, 0.17469610303471034, 0.09788918860166715, -0.08658418945163827, -0.006726247200938154, 0.019724567875858735, 0.22682055467157625, 0.1907998115480454, 0.07296499982476234, 0.2587605725804513, 0.17518774647826582, 0.013713109455156055, 0.18342170714988076, -0.14027888780798425, 0.019561814123087308, -0.23018996743485332, -0.14191758015658706, -0.14724470249215796, -0.021109203067184848, -0.06715962047697262, -0.15614606082354757, 0.37829194412651385, 0.06481832212408666, 0.15329878823831677, -0.04096700461972928, 0.3487818621691655, 0.0988646459273613, 0.1501224055775145, 0.04051166522549465, 0.3080772506813942, 0.15274198597498154, 0.08839418203040789, -0.27961522769923747, -0.025336913782997395, -0.0014503472511106256] |
711.2127 | Spin-Hall conductivity of a spin-polarized two-dimensional electron gas
with Rashba spin-orbit interaction and magnetic impurities | The Kubo formula is used to calculate the spin-Hall conductivity in a
spin-polarized two-dimensional electron system with Rashba-type spin-orbit
interaction. As in the case of the unpolarized electron system, spin Hall
conductivity is entirely determined by states at the Fermi level, a property
that persists in the presence of magnetic impurities. In the clean limit, the
spin-Hall conductivity decreases monotonically with the Zeeman splitting, a
result of the ordering effect on the electron spins produced by the magnetic
field. In the presence of magnetic impurities, the spin-dependent scattering
determines a finite renormalization of the static part of the fully dressed
vertex correction of the velocity operator that leads to an enhancement of the
\sigma_{sH}, an opposite behaviour to that registered in the presence of
spin-independent disorder. The variation of \sigma_{sH} with the strength of
the Rashba coupling and the Zeeman splitting is studied.
| cond-mat.mtrl-sci cond-mat.mes-hall | the kubo formula is used to calculate the spinhall conductivity in a spinpolarized twodimensional electron system with rashbatype spinorbit interaction as in the case of the unpolarized electron system spin hall conductivity is entirely determined by states at the fermi level a property that persists in the presence of magnetic impurities in the clean limit the spinhall conductivity decreases monotonically with the zeeman splitting a result of the ordering effect on the electron spins produced by the magnetic field in the presence of magnetic impurities the spindependent scattering determines a finite renormalization of the static part of the fully dressed vertex correction of the velocity operator that leads to an enhancement of the sigma_sh an opposite behaviour to that registered in the presence of spinindependent disorder the variation of sigma_sh with the strength of the rashba coupling and the zeeman splitting is studied | [['the', 'kubo', 'formula', 'is', 'used', 'to', 'calculate', 'the', 'spinhall', 'conductivity', 'in', 'a', 'spinpolarized', 'twodimensional', 'electron', 'system', 'with', 'rashbatype', 'spinorbit', 'interaction', 'as', 'in', 'the', 'case', 'of', 'the', 'unpolarized', 'electron', 'system', 'spin', 'hall', 'conductivity', 'is', 'entirely', 'determined', 'by', 'states', 'at', 'the', 'fermi', 'level', 'a', 'property', 'that', 'persists', 'in', 'the', 'presence', 'of', 'magnetic', 'impurities', 'in', 'the', 'clean', 'limit', 'the', 'spinhall', 'conductivity', 'decreases', 'monotonically', 'with', 'the', 'zeeman', 'splitting', 'a', 'result', 'of', 'the', 'ordering', 'effect', 'on', 'the', 'electron', 'spins', 'produced', 'by', 'the', 'magnetic', 'field', 'in', 'the', 'presence', 'of', 'magnetic', 'impurities', 'the', 'spindependent', 'scattering', 'determines', 'a', 'finite', 'renormalization', 'of', 'the', 'static', 'part', 'of', 'the', 'fully', 'dressed', 'vertex', 'correction', 'of', 'the', 'velocity', 'operator', 'that', 'leads', 'to', 'an', 'enhancement', 'of', 'the', 'sigma_sh', 'an', 'opposite', 'behaviour', 'to', 'that', 'registered', 'in', 'the', 'presence', 'of', 'spinindependent', 'disorder', 'the', 'variation', 'of', 'sigma_sh', 'with', 'the', 'strength', 'of', 'the', 'rashba', 'coupling', 'and', 'the', 'zeeman', 'splitting', 'is', 'studied']] | [-0.2231986913569532, 0.2126057341100951, -0.011153683935819598, 0.03419882523374619, -0.0048058674494911744, -0.10775397261734922, 0.02567630497676848, 0.32258463245849095, -0.26920910767064643, -0.2772901923089594, -0.054846328694594805, -0.323232552779096, -0.08148653157563372, 0.15980899222585912, 0.06617764862241236, -0.030676517843991728, -0.026230594460767778, -0.008479665502436928, -0.10247214098942915, -0.2103685188820338, 0.3421808994387177, 0.029703736699257906, 0.2998443811845321, 0.15776203575029552, 0.05361347021274529, 0.07499770068244396, 0.1025528614488642, 0.051599505637492334, -0.053790195479488795, 0.03873431623279983, 0.1953376788483978, -0.1491827818148255, 0.16962977981689822, -0.4163568592239562, -0.14815908362209745, 0.011944979943751871, 0.1282638145522768, 0.16723918017989897, -0.0499979520381031, -0.29684115960458096, -0.0023693990848072757, -0.18904029713435608, -0.17082310718699142, -0.037246037877028015, 0.028179816873190548, -0.046514038048632494, -0.27777407817229943, 0.10597692917824, 0.08555890211283548, 0.06993210397113661, -0.10446155143875654, -0.09887659939012483, -0.08100486065300143, 0.08285071785802713, 0.08607576635887625, 0.05989754117371586, 0.17830957674219475, -0.17428351858617752, -0.10785728580419339, 0.35088856023299947, -0.15146548393136866, -0.152609101930345, 0.11595570303864412, -0.21788556946741117, -0.02277880727306946, 0.1758358922764216, 0.12251812676814469, 0.09048010176536139, -0.12460819514585542, 0.13620377310439358, -0.045020312780735795, 0.1293338975263434, 0.006607366120117111, 0.06157218000910186, 0.23028854711853958, 0.14940996505515455, 0.08197100152150838, 0.15315892219777916, -0.18118748121725564, -0.02159619226179027, -0.24743396670954837, -0.13969758956634498, -0.2623500675093252, 0.09226070766718211, -0.052032419880815466, -0.21975841835935736, 0.4112833780008596, 0.15984866820712137, 0.1758583116286493, -0.05175160643989806, 0.2862400692868066, 0.19873356123347408, 0.09675531186834238, 0.027375064747916025, 0.29931509163771214, 0.2326606149798246, 0.10736011178069911, -0.4056608122903723, 0.06697937578835583, 0.04988903089563226] |
711.2128 | Support varieties of non-restricted modules over Lie algebras of
reductive groups: corrigenda and addenda | This paper fixes a gap in my article "Support varieties of non-restricted
modules over Lie algebras of reductive groups" pointed out to me by J.C.
Jantzen. It was written several years ago, but never widely circulated.
| math.RT math.RA | this paper fixes a gap in my article support varieties of nonrestricted modules over lie algebras of reductive groups pointed out to me by jc jantzen it was written several years ago but never widely circulated | [['this', 'paper', 'fixes', 'a', 'gap', 'in', 'my', 'article', 'support', 'varieties', 'of', 'nonrestricted', 'modules', 'over', 'lie', 'algebras', 'of', 'reductive', 'groups', 'pointed', 'out', 'to', 'me', 'by', 'jc', 'jantzen', 'it', 'was', 'written', 'several', 'years', 'ago', 'but', 'never', 'widely', 'circulated']] | [-0.1917283066173291, 0.02763737146031215, -0.12045863700849521, 0.02013912239797517, -0.15613997753502595, -0.1567842227846591, 0.031611440939337224, 0.3941574278804991, -0.29135356346766156, -0.24104503221395943, 0.11561073137110928, -0.17421768967890078, -0.15026025944906804, 0.22766937092981404, -0.18762499440668357, -0.09868901119463974, 0.07820215384061965, 0.07516703422233048, -0.07792909834016529, -0.4992476369564732, 0.3741178657445643, 0.0840824370776924, 0.24919750168919563, 0.0249258131742762, 0.10278612914488702, 0.0006294901961357229, -0.0557137679360393, -0.015127382163579265, -0.12500281732839844, 0.08275803830474615, 0.44429358017320436, 0.02721262728381488, 0.3034913344567435, -0.3347488019822372, -0.16322186642274675, 0.13081827480345964, 0.20618787754534018, 0.04784769585563077, 0.052272810717113316, -0.2776290891536822, 0.07074025918781343, -0.31957229832187295, -0.12532656418625265, -0.04570614986651991, 0.1490676468755636, -0.08671359888588388, -0.04029615022914691, -0.012156910909753706, 0.07021299925529295, 0.2169552819751617, -0.011344165043232756, -0.19360768136620107, 0.020645910770528846, 0.010707982738191882, 0.053542719636526376, 0.06761935350692107, 0.11108345020976332, -0.005203380217103081, -0.13264263645073193, 0.3330670278519392, 0.006409821367621286, -0.07608599730883725, 0.13864232533119825, -0.1560669387043971, -0.18029501317586336, 0.109058301585416, -0.006217502574953768, 0.12125956468905012, -0.17677142302919593, 0.1644370500257032, -0.1480556965365799, 0.028642820918725595, 0.18241408837234807, -0.13384438663100204, 0.17804701414166224, 0.10453051571837729, -0.04209912304456035, 0.03878730222479337, 0.1356445914296071, -0.015081350148345033, -0.2842540653008554, -0.23876444697897467, -0.08685719607294434, 0.14134895386976293, 0.09603383681840366, -0.12229851623609041, 0.4474404873326421, 0.15763097090853584, 0.1138801329717454, 0.03440910639862219, 0.12500206670827335, -0.008055088834630119, 0.1892482003507515, 0.09501458228462273, 0.19938683913399777, 0.3368712642113678, 0.09398036700763947, -0.0004892484284937382, -0.020561707982172567, 0.12335976638779458] |
711.2129 | Strings in strongly correlated electron systems | It is shown that strongly correlated electrons on frustrated lattices like
pyrochlore, checkerboard or kagome lattice can lead to the appearance of closed
and open strings. They are resulting from nonlocal subsidiary conditions which
propagating strongly correlated electrons require. The dynamics of the strings
is discussed and a number of their properties are pointed out. Some of them are
reminiscent of particle physics.
| cond-mat.str-el | it is shown that strongly correlated electrons on frustrated lattices like pyrochlore checkerboard or kagome lattice can lead to the appearance of closed and open strings they are resulting from nonlocal subsidiary conditions which propagating strongly correlated electrons require the dynamics of the strings is discussed and a number of their properties are pointed out some of them are reminiscent of particle physics | [['it', 'is', 'shown', 'that', 'strongly', 'correlated', 'electrons', 'on', 'frustrated', 'lattices', 'like', 'pyrochlore', 'checkerboard', 'or', 'kagome', 'lattice', 'can', 'lead', 'to', 'the', 'appearance', 'of', 'closed', 'and', 'open', 'strings', 'they', 'are', 'resulting', 'from', 'nonlocal', 'subsidiary', 'conditions', 'which', 'propagating', 'strongly', 'correlated', 'electrons', 'require', 'the', 'dynamics', 'of', 'the', 'strings', 'is', 'discussed', 'and', 'a', 'number', 'of', 'their', 'properties', 'are', 'pointed', 'out', 'some', 'of', 'them', 'are', 'reminiscent', 'of', 'particle', 'physics']] | [-0.16893418065072702, 0.306720524656749, -0.04403460055867808, 0.1159547801330013, -0.08700865005616039, -0.17965022556572444, 0.0033355291252807964, 0.39332157373428345, -0.2788118629675684, -0.25349447271594455, 0.10195470624972904, -0.3422327937617425, -0.1373759704412863, 0.18928691165407174, 0.022453546287521484, 0.004522122250544647, 0.05236284468796045, 0.03675829761085056, -0.07020133360296428, -0.30195832660510424, 0.268202415416165, 0.03527895594041703, 0.27856292092197, 0.06120745892385169, 0.025125874805131128, -0.011213588587466686, 0.007764458922403199, 0.0717265176557241, -0.10593953566491282, 0.0746569035035218, 0.18998605539164845, -0.004469871308260952, 0.13583443270966647, -0.49698696687581045, -0.2128186354797984, 0.06126299215155461, 0.1591810279171027, 0.11695468544568276, -0.03370789064663566, -0.2848064349816432, -0.0024089006603591973, -0.0860229304341215, -0.13444929731093228, -0.11036962005383676, -0.03057953483232903, 0.08759138524709713, -0.2000160723747242, 0.08941123365528053, 0.11399779687561686, 0.01728598436429387, -0.01024396661373358, -0.10964322314848976, -0.06621791735764533, 0.05684301162153364, 0.05984616902701202, 0.04083725797485501, 0.10895389526165904, -0.1479551066452312, -0.11806180858836761, 0.44655862941391883, 0.04652763226823438, -0.20776849000581674, 0.25775112080506035, -0.1501256259424346, -0.10453790284338452, 0.17717053755260412, 0.1013602774963522, 0.08061443067096646, -0.14508685487366857, 0.08722856005705479, -0.10121637400949285, 0.13757651357445866, 0.03605783650178521, 0.14033590892093287, 0.32404101370937294, 0.1355107050972976, 0.04473549504542634, 0.17130548546889, -0.05761019434338243, -0.17186995061291827, -0.2587941164623887, -0.08495312890348335, -0.18244674965916646, 0.08007229662071617, -0.025130683969658254, -0.2474822069251252, 0.3676120505801269, 0.11696335343304017, 0.14598805166130502, -0.10119822658117979, 0.10846640123054385, 0.06346745231735801, 0.03275628428950551, 0.07933859455044426, 0.205214350907934, 0.14240510668605566, 0.017864272382760806, -0.2477905544348889, 0.019075965122615415, 0.05840506503314134] |
711.213 | Behavior of some characteristics of EAS in the region of knee and ankle
of spectrum | The energy dependence of such characteristics as a ratio of the total number
of charged particles to the total flux of EAS Cherenkov radiation, a ratio of
E(thr)>=1GeV muon flux density at the distance of 600m from a shower core to
charged particle flux density, a ratio of the energy transferred to the
electromagnetic component of EAS to the primary particle energy is presented.
Their comparison with two-component mass composition of cosmic rays (p-Fe) in
the framework of calculations by a QGSJET model is given.
| astro-ph | the energy dependence of such characteristics as a ratio of the total number of charged particles to the total flux of eas cherenkov radiation a ratio of ethr1gev muon flux density at the distance of 600m from a shower core to charged particle flux density a ratio of the energy transferred to the electromagnetic component of eas to the primary particle energy is presented their comparison with twocomponent mass composition of cosmic rays pfe in the framework of calculations by a qgsjet model is given | [['the', 'energy', 'dependence', 'of', 'such', 'characteristics', 'as', 'a', 'ratio', 'of', 'the', 'total', 'number', 'of', 'charged', 'particles', 'to', 'the', 'total', 'flux', 'of', 'eas', 'cherenkov', 'radiation', 'a', 'ratio', 'of', 'ethr1gev', 'muon', 'flux', 'density', 'at', 'the', 'distance', 'of', '600m', 'from', 'a', 'shower', 'core', 'to', 'charged', 'particle', 'flux', 'density', 'a', 'ratio', 'of', 'the', 'energy', 'transferred', 'to', 'the', 'electromagnetic', 'component', 'of', 'eas', 'to', 'the', 'primary', 'particle', 'energy', 'is', 'presented', 'their', 'comparison', 'with', 'twocomponent', 'mass', 'composition', 'of', 'cosmic', 'rays', 'pfe', 'in', 'the', 'framework', 'of', 'calculations', 'by', 'a', 'qgsjet', 'model', 'is', 'given']] | [-0.09746448859195447, 0.21832610235183633, -0.05389444315473416, 0.09633714176015928, 0.026989120019910235, 0.013526077343461415, -0.025767646796469177, 0.33517820612039595, -0.20103697505934784, -0.4493584953514593, -0.0412662119834706, -0.3206119211168871, 0.04141392538301824, 0.13038074459958202, 0.04569243114175541, 0.04481615873962818, 0.06708884607290938, 0.03691551858182287, -0.053788638363281883, -0.12917512413557797, 0.2909218175392154, 0.23387285805351676, 0.2565645776977319, 0.11423697895813911, 0.12184398969457973, 0.0026566238881232927, -0.048237600355475606, 0.033615705490644486, -0.10379473908549353, 0.09533885672100864, 0.15432005380058572, 0.12566840254779285, 0.12823743278914618, -0.3918283919227265, -0.1980969419791585, 0.14202952479744063, 0.09961831617346477, -0.013021842022204683, -0.061361852467858365, -0.2082300368430359, 0.0493097936199601, -0.19821057972010403, -0.1623563685362959, 0.10151302629327845, -0.014737876852796901, 0.10443630687049812, -0.2540215743494974, 0.08877966707985338, -0.03347646698932208, -0.009990276033672021, -0.0767799829010896, -0.16802422741117576, -0.06461597489570045, 0.055131119077226946, 0.15816926383385657, 0.051466569293379075, 0.22007266901588687, -0.16410113518525446, -0.07198517498077958, 0.3810430994212982, -0.09342477516093779, -0.16553659884569547, 0.1626588370529048, -0.14482254865911923, -0.0703872332759645, 0.2544822099374696, 0.19889437035834862, 0.10413180547212028, -0.18527986125887505, 0.04407792551709073, -0.018321265903068706, 0.18150784157305247, 0.035855332733176294, -0.005075221448870642, 0.2914503053096788, 0.1883147554028602, 0.08355415394596223, 0.11243794791378259, -0.19120665528767167, -0.03004506044089794, -0.3033214654507382, -0.18635040730614924, -0.20908903507543505, 0.0884289833262474, -0.08407532053544335, -0.19123699165703284, 0.42073327688766377, 0.06929497679794579, 0.18561002126495754, 0.023699553350784948, 0.3260862828409743, 0.10535877880812179, 0.035110710657179536, 0.05003428553408455, 0.2848195408670498, 0.195517960628162, 0.14517152879298442, -0.27841648951427833, 0.005944245838604513, 0.05273114733531007] |
711.2131 | Dirac b quark on the lattice | We perform the first study of treating b, c, and s quarks as Dirac fermions
in lattice QCD with exact chiral symmetry. On a 32^3 60 lattice with 1/a ~ 7.68
GeV, we compute point-to-point quark propagators, and measure the
time-correlation functions for mesons with quark contents b_bbar, c_bbar,
s_bbar, and c_cbar. The lowest-lying meson mass spectra, the pseudoscalar decay
constants, and the b and c quark masses are determined.
| hep-lat hep-ex hep-ph | we perform the first study of treating b c and s quarks as dirac fermions in lattice qcd with exact chiral symmetry on a 323 60 lattice with 1a 768 gev we compute pointtopoint quark propagators and measure the timecorrelation functions for mesons with quark contents b_bbar c_bbar s_bbar and c_cbar the lowestlying meson mass spectra the pseudoscalar decay constants and the b and c quark masses are determined | [['we', 'perform', 'the', 'first', 'study', 'of', 'treating', 'b', 'c', 'and', 's', 'quarks', 'as', 'dirac', 'fermions', 'in', 'lattice', 'qcd', 'with', 'exact', 'chiral', 'symmetry', 'on', 'a', '323', '60', 'lattice', 'with', '1a', '768', 'gev', 'we', 'compute', 'pointtopoint', 'quark', 'propagators', 'and', 'measure', 'the', 'timecorrelation', 'functions', 'for', 'mesons', 'with', 'quark', 'contents', 'b_bbar', 'c_bbar', 's_bbar', 'and', 'c_cbar', 'the', 'lowestlying', 'meson', 'mass', 'spectra', 'the', 'pseudoscalar', 'decay', 'constants', 'and', 'the', 'b', 'and', 'c', 'quark', 'masses', 'are', 'determined']] | [-0.09408243146653358, 0.34012805575218336, -0.04003356549029167, 0.087412877767705, -0.0364253849364244, -0.16482220448983403, 0.14724887675390794, 0.38288882787411027, -0.12685771925518147, -0.21756007528075805, -0.04097492722615313, -0.34681021731633405, 0.05182242654980375, 0.02035920059021849, 0.16762369130379878, 0.13072775163902686, 0.04792790378336437, 0.039707625256134915, -0.12020646465512422, -0.2166788747247595, 0.2985457143531396, -0.08442272058186623, 0.1551079638230686, 0.17840965981237017, -0.009277723758266522, 0.028304743559028095, -0.03713032698545318, -0.14954085026222927, -0.1451415022262014, 0.02439098863217693, 0.10528300429712265, 0.015706753759430005, 0.03835354414410316, -0.289815481666189, -0.11178753277143606, 0.07976318809848565, 0.13399836270568463, 0.08210204885556148, -0.005230394043386556, -0.30567166960726566, 0.1454441540946181, -0.19904575041280342, -0.14840796605612222, -0.15671031467903118, 0.024492472754074977, -0.05384854938333424, -0.35317867220594334, 0.09927731302495187, -0.12403156046683972, 0.078988556126849, -0.0369584139651404, -0.30081468344880985, -0.08044182211877061, 0.03818661576996629, 0.1115951342221636, 0.14272435349412263, 0.13345725999321215, -0.15203032927730908, -0.15827670829155696, 0.5235493098027431, -0.1208583646095716, -0.176028001517541, 0.12494834259582253, -0.1854595175012946, -0.10741037781565235, 0.06812928834786781, 0.2038011517518988, 0.10442165697996433, -0.18771537830336735, 0.14665817380076848, -0.08505511722312524, 0.17796578905724275, 0.12795825910826142, 0.08758996359000985, 0.22254895825977794, 0.12166542201661147, -0.07665696062434178, 0.04526119664884531, -0.04744942040325931, -0.08521049027331173, -0.3635881265482077, -0.09758249847039294, -0.17080952393320892, 0.10343031581634513, -0.10782398145820479, -0.10536128567674985, 0.42231589945463033, 0.021326616607033288, 0.2580071898033986, 0.030673333400717148, 0.2481100217654155, 0.06709774752469877, 0.06612678107160788, 0.1583473388535472, 0.22925036143368252, 0.2563805016330801, 0.15751794007821726, -0.31486047120908134, -0.18366283846732515, 0.1426544337067753] |
711.2132 | Observing dynamical supersymmetry breaking with euclidean lattice
simulations | A strict positivity of the ground-state energy is a necessary and sufficient
condition for spontaneous supersymmetry breaking. This ground-state energy may
be directly determined from the expectation value of the Hamiltonian in the
functional integral, defined with an \emph{antiperiodic} temporal boundary
condition for all fermionic variables. We propose to use this fact to observe
the dynamical spontaneous supersymmetry breaking in Euclidean lattice
simulations. If a lattice formulation possesses a manifestly preserved
fermionic symmetry, there exists a natural choice of a Hamiltonian operator
that is consistent with a topological nature of the Witten index. We
numerically confirm the validity of our idea in models of supersymmetric
quantum mechanics. We further examine the possibility of dynamical
supersymmetry breaking in the two-dimensional $\mathcal{N}=(2,2)$ super
Yang-Mills theory with the gauge group SU(2), for which the Witten index is
unknown. Although statistical errors are still large, we do not observe
positive ground-state energy, at least within one standard deviation. This
prompts us to draw a different conclusion from a recent conjectural claim that
supersymmetry is dynamically broken in this system.
| hep-lat hep-th | a strict positivity of the groundstate energy is a necessary and sufficient condition for spontaneous supersymmetry breaking this groundstate energy may be directly determined from the expectation value of the hamiltonian in the functional integral defined with an emphantiperiodic temporal boundary condition for all fermionic variables we propose to use this fact to observe the dynamical spontaneous supersymmetry breaking in euclidean lattice simulations if a lattice formulation possesses a manifestly preserved fermionic symmetry there exists a natural choice of a hamiltonian operator that is consistent with a topological nature of the witten index we numerically confirm the validity of our idea in models of supersymmetric quantum mechanics we further examine the possibility of dynamical supersymmetry breaking in the twodimensional mathcaln22 super yangmills theory with the gauge group su2 for which the witten index is unknown although statistical errors are still large we do not observe positive groundstate energy at least within one standard deviation this prompts us to draw a different conclusion from a recent conjectural claim that supersymmetry is dynamically broken in this system | [['a', 'strict', 'positivity', 'of', 'the', 'groundstate', 'energy', 'is', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'spontaneous', 'supersymmetry', 'breaking', 'this', 'groundstate', 'energy', 'may', 'be', 'directly', 'determined', 'from', 'the', 'expectation', 'value', 'of', 'the', 'hamiltonian', 'in', 'the', 'functional', 'integral', 'defined', 'with', 'an', 'emphantiperiodic', 'temporal', 'boundary', 'condition', 'for', 'all', 'fermionic', 'variables', 'we', 'propose', 'to', 'use', 'this', 'fact', 'to', 'observe', 'the', 'dynamical', 'spontaneous', 'supersymmetry', 'breaking', 'in', 'euclidean', 'lattice', 'simulations', 'if', 'a', 'lattice', 'formulation', 'possesses', 'a', 'manifestly', 'preserved', 'fermionic', 'symmetry', 'there', 'exists', 'a', 'natural', 'choice', 'of', 'a', 'hamiltonian', 'operator', 'that', 'is', 'consistent', 'with', 'a', 'topological', 'nature', 'of', 'the', 'witten', 'index', 'we', 'numerically', 'confirm', 'the', 'validity', 'of', 'our', 'idea', 'in', 'models', 'of', 'supersymmetric', 'quantum', 'mechanics', 'we', 'further', 'examine', 'the', 'possibility', 'of', 'dynamical', 'supersymmetry', 'breaking', 'in', 'the', 'twodimensional', 'mathcaln22', 'super', 'yangmills', 'theory', 'with', 'the', 'gauge', 'group', 'su2', 'for', 'which', 'the', 'witten', 'index', 'is', 'unknown', 'although', 'statistical', 'errors', 'are', 'still', 'large', 'we', 'do', 'not', 'observe', 'positive', 'groundstate', 'energy', 'at', 'least', 'within', 'one', 'standard', 'deviation', 'this', 'prompts', 'us', 'to', 'draw', 'a', 'different', 'conclusion', 'from', 'a', 'recent', 'conjectural', 'claim', 'that', 'supersymmetry', 'is', 'dynamically', 'broken', 'in', 'this', 'system']] | [-0.15384716106927954, 0.18016783954468943, -0.11180083831001458, 0.11479895653192425, -0.08689010856491139, -0.13759433782536365, 0.04040853617025068, 0.3479313884069608, -0.22646352794923252, -0.26998884588126737, 0.0820982292804321, -0.22576609480826335, -0.15903165509346232, 0.07314896100299732, -0.06553608248272547, 0.06319503452436163, 0.024605426090319866, 0.04243321724680263, -0.1268739570226606, -0.21257342138841492, 0.3170074230078715, -0.004785157791967772, 0.26986654180947733, 0.07713868209674697, 0.1002235621750494, -0.006433681451083942, 0.042976908617246165, -0.019595836461173778, -0.14099377779942074, 0.10890312125971915, 0.19418086397793863, 0.06370397549036932, 0.19925769817769184, -0.41102233203663224, -0.2176384753534228, 0.1496790959981495, 0.11136588383126127, 0.1450975184166943, -0.04505543249152474, -0.2809167948535419, 0.07922214479988506, -0.1581360962303441, -0.18802360997564727, -0.09990479504079397, -0.008144973527008518, -0.11538855187479813, -0.26892429067159135, 0.11768390601179723, 0.021298095935503362, 0.08128537272434981, -0.042554649157080286, -0.035536875135409804, -0.08397239287003833, 0.04404697686382944, 0.09221174265726352, 0.023145705811082568, 0.08844382127267897, -0.14574978357560975, -0.13178712677413962, 0.4055233409242897, -0.029993909742982907, -0.2167798385922944, 0.15949096934784246, -0.13414029135829073, -0.21935510248663012, 0.12144713760514197, 0.07477070356119724, 0.1019645984787708, -0.12781375001891163, 0.16249804216103853, -0.08918354154434643, 0.1856143226640984, 0.03255791525254775, 0.030111542292710007, 0.23517638247395897, 0.11148865578358928, 0.07576921259871973, 0.14018700572584444, 0.00591120112221688, -0.15312868090956633, -0.39817499909442905, -0.15343573541332292, -0.1935696942021203, 0.11775322615220171, -0.085815762900182, -0.15543839262782372, 0.3906921839445894, 0.15789047752750565, 0.16995278343922277, 0.06775073779721132, 0.2079176457816917, 0.15272400392408098, 0.08467503166387871, 0.03629729921538811, 0.24813278152703724, 0.13296123580999095, 0.07087720303271694, -0.26638691397062664, -0.06650983366560614, 0.11826551848241053] |
711.2133 | $J/\psi$ suppression in the threshold model at RHIC and LHC energy | In the QGP based threshold model \cite{Blaizot:2000ev,Blaizot:1996nq}, in
addition to the normal nuclear absorption, $J/\psi$'s are subjected to an
'anomalous' suppression such that above a threshold density $n_{J/\psi}$, all
the $J/\psi$'s are melted. In the threshold model we have analysed the recent
PHENIX data on the centrality dependence of $J/\psi$ suppression in Au+Au
collisions at RHIC. Feedback from decay of the state $\chi$ is accounted for.
$J/\psi$'s are anomalously suppressed above a threshold density,
$n_{J/\psi}=3.57\pm 0.17$ $fm^{-2}$. Threshold density for anomalous
suppression of the state $\chi$ is uncertain to a large extent, $n_\chi=0.32
\pm 0.32$ $fm^{-2}$. The fraction $F$ of the state $\chi$ can not be determined
unambiguously, depending on the nuclear absorption, it can vary from 20% to
40%. We have also predicted for the suppression in Pb+Pb collisions at LHC
energy. In central Pb+Pb collisions, $J/\psi$'s are suppressed by a factor of
3-4. Suppression pattern is rather similar to that in Au+Au collisions, if not
slighty less in central collisions. Using the PHENIX data on the participant
number dependence of the Bjorken energy density, we have also estimated the QGP
formation time. For critical temperature $T_c$=192 MeV, estimated QGP formation
time ranges between 0.07-0.09 fm/c.
| nucl-th | in the qgp based threshold model citeblaizot2000evblaizot1996nq in addition to the normal nuclear absorption jpsis are subjected to an anomalous suppression such that above a threshold density n_jpsi all the jpsis are melted in the threshold model we have analysed the recent phenix data on the centrality dependence of jpsi suppression in auau collisions at rhic feedback from decay of the state chi is accounted for jpsis are anomalously suppressed above a threshold density n_jpsi357pm 017 fm2 threshold density for anomalous suppression of the state chi is uncertain to a large extent n_chi032 pm 032 fm2 the fraction f of the state chi can not be determined unambiguously depending on the nuclear absorption it can vary from 20 to 40 we have also predicted for the suppression in pbpb collisions at lhc energy in central pbpb collisions jpsis are suppressed by a factor of 34 suppression pattern is rather similar to that in auau collisions if not slighty less in central collisions using the phenix data on the participant number dependence of the bjorken energy density we have also estimated the qgp formation time for critical temperature t_c192 mev estimated qgp formation time ranges between 007009 fmc | [['in', 'the', 'qgp', 'based', 'threshold', 'model', 'citeblaizot2000evblaizot1996nq', 'in', 'addition', 'to', 'the', 'normal', 'nuclear', 'absorption', 'jpsis', 'are', 'subjected', 'to', 'an', 'anomalous', 'suppression', 'such', 'that', 'above', 'a', 'threshold', 'density', 'n_jpsi', 'all', 'the', 'jpsis', 'are', 'melted', 'in', 'the', 'threshold', 'model', 'we', 'have', 'analysed', 'the', 'recent', 'phenix', 'data', 'on', 'the', 'centrality', 'dependence', 'of', 'jpsi', 'suppression', 'in', 'auau', 'collisions', 'at', 'rhic', 'feedback', 'from', 'decay', 'of', 'the', 'state', 'chi', 'is', 'accounted', 'for', 'jpsis', 'are', 'anomalously', 'suppressed', 'above', 'a', 'threshold', 'density', 'n_jpsi357pm', '017', 'fm2', 'threshold', 'density', 'for', 'anomalous', 'suppression', 'of', 'the', 'state', 'chi', 'is', 'uncertain', 'to', 'a', 'large', 'extent', 'n_chi032', 'pm', '032', 'fm2', 'the', 'fraction', 'f', 'of', 'the', 'state', 'chi', 'can', 'not', 'be', 'determined', 'unambiguously', 'depending', 'on', 'the', 'nuclear', 'absorption', 'it', 'can', 'vary', 'from', '20', 'to', '40', 'we', 'have', 'also', 'predicted', 'for', 'the', 'suppression', 'in', 'pbpb', 'collisions', 'at', 'lhc', 'energy', 'in', 'central', 'pbpb', 'collisions', 'jpsis', 'are', 'suppressed', 'by', 'a', 'factor', 'of', '34', 'suppression', 'pattern', 'is', 'rather', 'similar', 'to', 'that', 'in', 'auau', 'collisions', 'if', 'not', 'slighty', 'less', 'in', 'central', 'collisions', 'using', 'the', 'phenix', 'data', 'on', 'the', 'participant', 'number', 'dependence', 'of', 'the', 'bjorken', 'energy', 'density', 'we', 'have', 'also', 'estimated', 'the', 'qgp', 'formation', 'time', 'for', 'critical', 'temperature', 't_c192', 'mev', 'estimated', 'qgp', 'formation', 'time', 'ranges', 'between', '007009', 'fmc']] | [-0.08795906999757933, 0.2751383475395662, -0.16092394095362794, 0.09656664694437553, 0.022612508147904962, -0.07595887802680223, -0.005845120103532419, 0.34789859663929146, -0.21014460926894976, -0.3146352135571432, -0.028373861189258737, -0.3719352246579075, 0.08819363971304207, 0.1467286620669418, 0.05452689645733899, 0.05996435867983321, 0.05648614358429977, 0.06721918304884777, -0.047576888853864484, -0.2017399050875601, 0.2866200109334548, 0.10963330332540873, 0.2455636496065643, 0.18347907618693252, -0.0020525289747586072, -0.00018974862193093874, 0.04243568652577659, 0.026479902377971376, -0.16074704954558217, -0.02104127659210667, 0.27795733978450105, 0.008083944686771375, 0.18126616483584415, -0.3435596083900379, -0.17079610625252672, 0.14106162040036035, 0.14139603711274593, 0.07397959495806843, -0.0749002677206857, -0.22471921055221744, 0.1636630925618073, -0.24198171925482326, -0.11734738731049782, -0.015150215691296843, 0.05039085852011492, -0.008264744535015932, -0.30714744592758375, 0.22383485572304118, -0.028007843586523574, 0.060473022446114355, -0.046983535557556216, -0.17899781641067636, -0.08248718957665391, -0.006231968383748494, 0.03470445770516758, 0.1248258732610348, 0.24028051508568027, -0.18575722643805678, -0.07646262482130481, 0.3677771502315842, -0.02992976784062479, -0.08365802902710644, 0.1488914197555826, -0.2483282393034723, -0.1283385923628437, 0.23175039917781598, 0.23226729944757923, 0.07764695301720219, -0.15485096565589151, -0.01092722248871133, -0.024250858112881985, 0.22628116461384984, 0.1098311431900993, 0.047865426748093826, 0.16306927674986343, 0.1917060306344513, -0.011387652236022328, 0.0649041817529634, -0.12031681907451004, -0.06443556127777196, -0.3576592373032689, -0.008439846027213397, -0.13889255735557526, 0.056397137713176074, -0.09902632173092266, -0.023350033311768197, 0.3369590047629872, 0.13026758256558504, 0.29927054055020486, -0.0349711019750587, 0.257911413793418, 0.1512337858204764, 0.06302367772051275, 0.1288294975197245, 0.30243686892345784, 0.16671700308133522, 0.17481679867193314, -0.2764974104006487, 0.12156875446470483, 0.011076912925095926] |
711.2134 | Asymptotic stability of lattice solitons in the energy space | Orbital and asymptotic stability for 1-soliton solutions to the Toda lattice
equations as well as small solitary waves to the FPU lattice equations are
established in the energy space. Unlike analogous Hamiltonian PDEs, the lattice
equations do not conserve momentum. Furthermore, the Toda lattice equation is a
bidirectional model that does not fit in with existing theory for Hamiltonian
system by Grillakis, Shatah and Strauss.
To prove stability of 1-soliton solutions, we split a solution around a
1-soliton into a small solution that moves more slowly than the main solitary
wave, and an exponentially localized part. We apply a decay estimate for
solutions to a linearized Toda equation which has been recently proved by
Mizumachi and Pego to estimate the localized part. We improve the asymptotic
stability results for FPU lattices in a weighted space obtained by Friesecke
and Pego.
| math.AP math-ph math.MP | orbital and asymptotic stability for 1soliton solutions to the toda lattice equations as well as small solitary waves to the fpu lattice equations are established in the energy space unlike analogous hamiltonian pdes the lattice equations do not conserve momentum furthermore the toda lattice equation is a bidirectional model that does not fit in with existing theory for hamiltonian system by grillakis shatah and strauss to prove stability of 1soliton solutions we split a solution around a 1soliton into a small solution that moves more slowly than the main solitary wave and an exponentially localized part we apply a decay estimate for solutions to a linearized toda equation which has been recently proved by mizumachi and pego to estimate the localized part we improve the asymptotic stability results for fpu lattices in a weighted space obtained by friesecke and pego | [['orbital', 'and', 'asymptotic', 'stability', 'for', '1soliton', 'solutions', 'to', 'the', 'toda', 'lattice', 'equations', 'as', 'well', 'as', 'small', 'solitary', 'waves', 'to', 'the', 'fpu', 'lattice', 'equations', 'are', 'established', 'in', 'the', 'energy', 'space', 'unlike', 'analogous', 'hamiltonian', 'pdes', 'the', 'lattice', 'equations', 'do', 'not', 'conserve', 'momentum', 'furthermore', 'the', 'toda', 'lattice', 'equation', 'is', 'a', 'bidirectional', 'model', 'that', 'does', 'not', 'fit', 'in', 'with', 'existing', 'theory', 'for', 'hamiltonian', 'system', 'by', 'grillakis', 'shatah', 'and', 'strauss', 'to', 'prove', 'stability', 'of', '1soliton', 'solutions', 'we', 'split', 'a', 'solution', 'around', 'a', '1soliton', 'into', 'a', 'small', 'solution', 'that', 'moves', 'more', 'slowly', 'than', 'the', 'main', 'solitary', 'wave', 'and', 'an', 'exponentially', 'localized', 'part', 'we', 'apply', 'a', 'decay', 'estimate', 'for', 'solutions', 'to', 'a', 'linearized', 'toda', 'equation', 'which', 'has', 'been', 'recently', 'proved', 'by', 'mizumachi', 'and', 'pego', 'to', 'estimate', 'the', 'localized', 'part', 'we', 'improve', 'the', 'asymptotic', 'stability', 'results', 'for', 'fpu', 'lattices', 'in', 'a', 'weighted', 'space', 'obtained', 'by', 'friesecke', 'and', 'pego']] | [-0.15827457927350355, 0.08940954767926347, -0.09845311837603471, 0.11698531090431581, -0.10001394674181938, -0.1461270958950211, -0.01013239532060522, 0.2728431691149516, -0.2551562321505376, -0.20303473709749856, 0.15507072732767224, -0.29975999291054906, -0.14441395593291548, 0.16914006533417186, -0.020455014193430543, 0.10846896858087608, 0.09433041751783873, 0.004003325069788843, -0.07662370560823807, -0.22628664836686638, 0.27378734115045517, 0.006712680508748495, 0.23988660031796566, 0.018892174107687815, 0.1000459837361372, 0.007114306567902012, 0.0727574021854837, -0.010155323247974073, -0.2023107247764918, 0.054584491612123594, 0.21023636990659206, 0.023750564984844198, 0.24902695781617826, -0.42738202101151856, -0.2347138699842617, 0.052683592404771065, 0.2327233965990932, 0.16271128557938416, -0.010293251792089515, -0.3174358247380171, 0.08307948420489474, -0.14236148565874568, -0.23486922167108526, -0.11014979589464409, 0.04577533592070852, 0.10262800413849098, -0.2659380152389141, 0.09232396136171052, 0.10914360948788401, -0.01063051096030644, -0.1769686916102988, -0.08117250946067672, -0.07886240105310988, 0.026839135297840194, 0.06058438343877372, 0.043962077091314965, -0.028289574038769517, -0.08080263993303691, -0.09227629135254704, 0.3762054680647062, -0.1162533735994657, -0.294081019357379, 0.1530245232595397, -0.10551098832843958, -0.10671250882358956, 0.14678215823868024, 0.13984791135215865, 0.12320195053304944, -0.12719646763372502, 0.11543003734924631, -0.06547475767677367, 0.15823155234019007, 0.11154599540002112, -0.008111344720236956, 0.12208267114391284, 0.11999054236803204, 0.11922398177141856, 0.12573554713578364, 0.012385603662447205, -0.17811086357770753, -0.25828018293582966, -0.13293932854929671, -0.18017925965998854, 0.08208031302669301, -0.04805230192588559, -0.18435450169656958, 0.38045900922401676, 0.0955477157441367, 0.12909208741039038, 0.08867935942835174, 0.20521040075857724, 0.17191024325355622, 0.04154945555741766, 0.12255718745124926, 0.24107353906812412, 0.17475497374876536, 0.15778125206540738, -0.23667634441849908, -0.056703630399091966, 0.21432155856663096] |
711.2135 | Martingale dimensions for fractals | We prove that the martingale dimensions for canonical diffusion processes on
a class of self-similar sets including nested fractals are always one. This
provides an affirmative answer to the conjecture of S. Kusuoka [Publ. Res.
Inst. Math. Sci. 25 (1989) 659--680].
| math.PR | we prove that the martingale dimensions for canonical diffusion processes on a class of selfsimilar sets including nested fractals are always one this provides an affirmative answer to the conjecture of s kusuoka publ res inst math sci 25 1989 659680 | [['we', 'prove', 'that', 'the', 'martingale', 'dimensions', 'for', 'canonical', 'diffusion', 'processes', 'on', 'a', 'class', 'of', 'selfsimilar', 'sets', 'including', 'nested', 'fractals', 'are', 'always', 'one', 'this', 'provides', 'an', 'affirmative', 'answer', 'to', 'the', 'conjecture', 'of', 's', 'kusuoka', 'publ', 'res', 'inst', 'math', 'sci', '25', '1989', '659680']] | [-0.07041014441638253, 0.05303859027662838, -0.04902090635150671, 0.1029360441287281, -0.056940491835121065, -0.11052172983763739, 0.029417306883260608, 0.30038218218833207, -0.2626236444339156, -0.24816678400384262, 0.06335410310712178, -0.2896240535832476, -0.1259567284374498, 0.2414951762999408, -0.1660303693963215, -0.007365823886357248, 0.021178690576925875, -0.11392354117706419, 0.01893562067998573, -0.32993488221254663, 0.2865075441659428, 0.037427118071354924, 0.24635833483189346, 0.07827064169105143, 0.10960877684410661, -0.014568178847548552, -0.08661411298671737, -0.05076024590525776, -0.22644146301990986, 0.14310959263239056, 0.2861189662478864, 0.09680579161504284, 0.32071314714849, -0.3222208462189883, -0.18255482486565597, 0.12964952484762762, 0.04239732316927984, 0.003776100161485374, 0.0722146948275622, -0.3121209755772725, 0.08518104819340806, -0.10262161854188889, -0.1723081259173341, -0.08213939975830727, 0.18248539776541292, -0.04090160713531077, -0.3362693293951452, 0.14581886648666115, 0.2505475073936395, 0.12660598759830463, -0.007263146934565157, -0.1350193590624258, -0.02220309656113386, -0.017981548060197382, -0.059874672191494935, 0.051444971724413334, 0.0021552093443460763, 0.007277415582211688, -0.2184073209296912, 0.29062705326359717, -0.0033174756565131245, -0.19264058507978915, 0.24586634701117874, -0.13695204830728472, -0.20392870622454212, 0.10372025006217882, 0.15405052239075304, 0.10596211886149831, -0.12385395512392279, 0.22916341449599714, -0.19682149824220688, 0.08537334236316382, 0.2331286540837027, -0.07953234933083878, 0.0588011312240269, 0.0733576008467935, 0.1085609422530979, 0.07607991686090827, -0.01554628020967357, -0.12251779660582543, -0.29031134406104686, -0.24419984268024564, -0.1381072298507206, 0.2266352869803086, -0.0647418914246373, -0.1955478935269639, 0.3092932199477218, 0.13504890015610727, 0.1236274432274513, 0.11632110988721252, 0.048670633893925695, 0.1341762944823131, -0.08047358863987028, 0.19878346950281411, 0.12116625523194671, 0.14738997785752872, 0.12852171588456257, -0.0931607435690239, -0.05930087121669203, 0.21351829944178463] |
711.2136 | The orbital and superhump periods of the deeply eclipsing dwarf nova
SDSS J122740.83+513925.9 | During June 2007 the first confirmed superoutburst of the eclipsing dwarf
nova SDSS J122740.83+513925.9 was observed using CCD photometry. The outburst
amplitude was at least 4.7 magnitudes. The orbital period was measured as
0.06296(5) d from times of the 31 observed eclipses. Time series photometry
also revealed superhumps with a period of 0.0653(3) d, thereby establishing it
to be a UGSU-type system. The superhump period excess was 3.7% and the maximum
peak-to-peak amplitude of the superhumps was 0.35 magnitudes. The eclipse
duration declined from a maximum of 23 min at the peak of the outburst to about
12 mins towards the end. The depth of the eclipses was correlated with the beat
period between the orbital and superhump periods.
| astro-ph | during june 2007 the first confirmed superoutburst of the eclipsing dwarf nova sdss j122740835139259 was observed using ccd photometry the outburst amplitude was at least 47 magnitudes the orbital period was measured as 0062965 d from times of the 31 observed eclipses time series photometry also revealed superhumps with a period of 006533 d thereby establishing it to be a ugsutype system the superhump period excess was 37 and the maximum peaktopeak amplitude of the superhumps was 035 magnitudes the eclipse duration declined from a maximum of 23 min at the peak of the outburst to about 12 mins towards the end the depth of the eclipses was correlated with the beat period between the orbital and superhump periods | [['during', 'june', '2007', 'the', 'first', 'confirmed', 'superoutburst', 'of', 'the', 'eclipsing', 'dwarf', 'nova', 'sdss', 'j122740835139259', 'was', 'observed', 'using', 'ccd', 'photometry', 'the', 'outburst', 'amplitude', 'was', 'at', 'least', '47', 'magnitudes', 'the', 'orbital', 'period', 'was', 'measured', 'as', '0062965', 'd', 'from', 'times', 'of', 'the', '31', 'observed', 'eclipses', 'time', 'series', 'photometry', 'also', 'revealed', 'superhumps', 'with', 'a', 'period', 'of', '006533', 'd', 'thereby', 'establishing', 'it', 'to', 'be', 'a', 'ugsutype', 'system', 'the', 'superhump', 'period', 'excess', 'was', '37', 'and', 'the', 'maximum', 'peaktopeak', 'amplitude', 'of', 'the', 'superhumps', 'was', '035', 'magnitudes', 'the', 'eclipse', 'duration', 'declined', 'from', 'a', 'maximum', 'of', '23', 'min', 'at', 'the', 'peak', 'of', 'the', 'outburst', 'to', 'about', '12', 'mins', 'towards', 'the', 'end', 'the', 'depth', 'of', 'the', 'eclipses', 'was', 'correlated', 'with', 'the', 'beat', 'period', 'between', 'the', 'orbital', 'and', 'superhump', 'periods']] | [-0.12304093911433997, 0.16305876328842714, -0.14626486978453138, 0.02590304438996574, -0.0769883260940728, -0.12041171662833379, 0.12739469644451595, 0.3787973832339048, -0.17861147488634427, -0.3919806440887244, 0.13334700580200423, -0.3579040488645779, -0.09207174411934355, 0.22102982118401837, -0.13856858732528368, 0.023128873028832934, 0.14888112214596375, -0.014451531180605779, -0.0794153015655668, -0.39398472678402197, 0.13461636442529118, 0.02691983873753444, 0.09249642567466135, -0.09755370004264557, 0.05548497650205441, 0.00844839879149652, -0.08444703016126448, -0.13330194849885352, -0.10614883877013041, -0.05433959250297883, 0.19613961015787462, 0.0703131306025645, 0.17453599834976638, -0.2745834867105536, -0.15524716127117205, 0.033082847888378994, 0.10308971871702892, -0.011007468612945598, 0.10611601524945835, -0.25341000233007516, 0.051474707371190837, -0.17327976246242938, -0.1724993836235903, 0.15244500226462665, 0.2477203211625633, -0.023562819121972375, -0.22203679887233707, 0.1698838680392921, 0.03130429629438921, 0.21337922227609415, -0.18701637535679924, -0.12925473204915128, -0.09106276624066674, 0.04399530019044228, 0.09276776997291523, 0.15388245627729466, 0.011848724188040132, -0.006441797769587973, -0.1117985614615938, 0.2802669805191133, -0.14501046256324196, 0.17208889228818208, 0.12105289097551418, -0.23421885332942982, -0.04730913839100496, 0.25101016341992044, 0.12350417378803959, 0.06566555175484846, -0.1707116150499686, -0.0722074089905895, 0.05503933757705533, 0.30767753157440736, 0.1765544037020806, 0.022384535407890444, 0.33212032864761093, 0.1510458931883635, -0.01870333866985596, 0.09559333242941648, -0.3549578133403607, -0.006148471573934607, -0.2097338889118122, -0.0736874141284953, -0.14476241338188234, 0.08816012280952672, -0.10077860306356223, -0.04842238697911734, 0.4789920457193385, 0.025973958839439665, 0.2282520182815421, 0.04833903432945195, 0.2306245748925468, 0.16879627771736325, 0.05605573204558586, 0.12771021408312347, 0.3735323991221578, 0.19039738706272583, 0.23730666894951594, -0.2540847421532659, 0.14739583389347663, 0.015333731189046218] |
711.2137 | Rank two filtered $(\phi, N)$-modules with Galois descent data and
coefficients | Let $K$ be any finite extension of $Q_{p}$, $L$ any finite Galois extension
of $K$ and $E$ any finite large enough coefficient field containing $L$. We
classify two-dimensional, F-semistable $E$-representations of $G_{K}$, by
listing the isomorphism classes of rank two weakly admissible filtered
$(\phi,N,L/K,E)$-modules.
| math.NT | let k be any finite extension of q_p l any finite galois extension of k and e any finite large enough coefficient field containing l we classify twodimensional fsemistable erepresentations of g_k by listing the isomorphism classes of rank two weakly admissible filtered phinlkemodules | [['let', 'k', 'be', 'any', 'finite', 'extension', 'of', 'q_p', 'l', 'any', 'finite', 'galois', 'extension', 'of', 'k', 'and', 'e', 'any', 'finite', 'large', 'enough', 'coefficient', 'field', 'containing', 'l', 'we', 'classify', 'twodimensional', 'fsemistable', 'erepresentations', 'of', 'g_k', 'by', 'listing', 'the', 'isomorphism', 'classes', 'of', 'rank', 'two', 'weakly', 'admissible', 'filtered', 'phinlkemodules']] | [-0.24822854898160412, 0.19302030193752476, -0.06043254570769412, -0.027038023718411013, -0.14973372805841445, -0.19998166461785635, -0.022730751162660972, 0.29581112175115515, -0.36442368096184163, -0.23345727140882186, 0.03704927723100852, -0.24977665966642754, -0.015113706717134587, 0.14524953980885802, -0.03062253191490613, -0.05480470490597543, -0.005655822654565175, 0.17572383154072754, -0.055384979339405185, -0.3283387164008759, 0.31896592122003703, -0.1309078742439548, 0.1606607604106622, 0.014114434631275279, 0.12105414333442847, 0.05945568936433466, -0.047965683530838715, 0.06765911814069286, -0.18881026746350385, 0.07952059714478396, 0.4168329897026221, 0.043830357536318754, 0.22549968104188642, -0.2772642380912744, -0.16035076061130635, 0.37020340832393794, 0.13394042822931493, -0.048375877906524, 0.04303962355645906, -0.22777899035385676, 0.25178557099951876, -0.17461366591686828, -0.11950861232443935, -0.07828000939584204, 0.15504902194897158, 0.014723175316162053, -0.2810789014966715, -0.05921411762634913, 0.16120266373313608, 0.2167513366688841, -0.043068434710481336, -0.15624132770157995, -0.023609257258829616, 0.026630627734231808, -0.09277245198332128, 0.06474340962068666, 0.06602783276078601, -0.04353599402210897, -0.10246013049479752, 0.3685636740355265, -0.17018644148040385, -0.18727812964823984, 0.14089808528799386, -0.1752463849372275, -0.06155991336951653, 0.18918401137731658, 0.07547270049828858, 0.19396645095756476, -0.0007976307090194453, 0.3266397801967936, -0.1755782848139504, 0.10693411868331688, 0.11123258935376293, -0.05726578573341526, 0.12033784900614548, -0.0006460514019376465, 0.11009806845824988, 0.12323748183691696, 0.005031624720210121, 0.09706453171869119, -0.43201325000042007, -0.13683574932760426, -0.14635974253039985, 0.18194247187957877, -0.15120009979242846, -0.19200391255574123, 0.3493372183293104, 0.0639437781535976, 0.21828892567594135, 0.1181342695130124, 0.15516028912471874, 0.030927786160083043, 0.08808067252504684, 0.107034363850419, -0.058736516029707024, 0.27400524945863125, -0.1536717609546724, -0.20582116208970547, -0.058980501035139674, 0.20210124791732856] |
711.2138 | Dispersive and Strichartz estimates for hyperbolic equations with
constant coefficients | Dispersive and Strichartz estimates for solutions to general strictly
hyperbolic partial differential equations with constant coefficients are
considered. The global time decay estimates of $L^p-L^q$ norms of propagators
are obtained, and it is shown how the time decay rates depend on the geometry
of the problem. The frequency space is separated in several zones each giving a
certain decay rate. Geometric conditions on characteristics responsible for the
particular decay are identified and investigated. Thus, a comprehensive
analysis is carried out for strictly hyperbolic equations of high orders with
lower order terms of a general form. Results are applied to establish time
decay estimates for the Fokker-Planck equation and for semilinear hyperbolic
equations.
| math.AP math.FA | dispersive and strichartz estimates for solutions to general strictly hyperbolic partial differential equations with constant coefficients are considered the global time decay estimates of lplq norms of propagators are obtained and it is shown how the time decay rates depend on the geometry of the problem the frequency space is separated in several zones each giving a certain decay rate geometric conditions on characteristics responsible for the particular decay are identified and investigated thus a comprehensive analysis is carried out for strictly hyperbolic equations of high orders with lower order terms of a general form results are applied to establish time decay estimates for the fokkerplanck equation and for semilinear hyperbolic equations | [['dispersive', 'and', 'strichartz', 'estimates', 'for', 'solutions', 'to', 'general', 'strictly', 'hyperbolic', 'partial', 'differential', 'equations', 'with', 'constant', 'coefficients', 'are', 'considered', 'the', 'global', 'time', 'decay', 'estimates', 'of', 'lplq', 'norms', 'of', 'propagators', 'are', 'obtained', 'and', 'it', 'is', 'shown', 'how', 'the', 'time', 'decay', 'rates', 'depend', 'on', 'the', 'geometry', 'of', 'the', 'problem', 'the', 'frequency', 'space', 'is', 'separated', 'in', 'several', 'zones', 'each', 'giving', 'a', 'certain', 'decay', 'rate', 'geometric', 'conditions', 'on', 'characteristics', 'responsible', 'for', 'the', 'particular', 'decay', 'are', 'identified', 'and', 'investigated', 'thus', 'a', 'comprehensive', 'analysis', 'is', 'carried', 'out', 'for', 'strictly', 'hyperbolic', 'equations', 'of', 'high', 'orders', 'with', 'lower', 'order', 'terms', 'of', 'a', 'general', 'form', 'results', 'are', 'applied', 'to', 'establish', 'time', 'decay', 'estimates', 'for', 'the', 'fokkerplanck', 'equation', 'and', 'for', 'semilinear', 'hyperbolic', 'equations']] | [-0.14826951510933992, 0.11494379863558736, -0.055346514173184654, 0.11324965329653683, -0.08524599621263665, -0.13016337269800715, -0.016262100340100005, 0.2986760887350621, -0.26629423145537395, -0.22076338971965015, 0.16857432937104022, -0.28797055444946246, -0.07737885746506176, 0.2729816402341904, 0.018810572144242803, 0.10824412317846768, 0.06314836159539741, 0.03913252614438534, -0.1035801510318249, -0.24790205651827688, 0.3404930368331926, -0.0047765009637389865, 0.24690299361412013, 0.04996001676876664, 0.1000737284942131, -0.05060443434298837, -0.07045313664379396, -0.012151722235233007, -0.23158898532814678, 0.0843970200917933, 0.2255190104104778, 0.04499397020637324, 0.2556741453694745, -0.41327719059440177, -0.21295499766503262, 0.10003125757170242, 0.15537488537665922, 0.06762863730546087, -0.05468635030099124, -0.30620830078883693, 0.08288970224384684, -0.0635523458076932, -0.18337605070389276, -0.0942720392735542, 0.02106402165788625, 0.07570936402771622, -0.3279819636539157, 0.14071781029425828, 0.04585373281380661, 0.0020386547985253856, -0.14920264944001765, -0.10300271738794566, -0.006553149091944631, 0.11202543347358837, 0.08942784472518335, -0.03845871644443832, 0.05792991294791656, -0.0700524450699699, -0.06928240837961701, 0.3591344447922893, -0.09172370508583429, -0.29491810630341725, 0.14632682285446208, -0.1814275671411971, -0.08463689552237545, 0.1887737074866891, 0.1859524952888023, 0.1794811693086688, -0.1587100768925406, 0.09695614435934528, -0.009403868794574268, 0.14134690898104704, 0.0995419015193225, 0.08868195186888832, 0.07631871063495055, 0.11646670319896657, 0.11351898958777643, 0.09154863732276551, 0.0051092234742619825, -0.12744781937258917, -0.33976485344049123, -0.1331673995550123, -0.08973909348216173, 0.06751911527057278, -0.11361216189392767, -0.15923438812933455, 0.3772260049445322, 0.03881453733525372, 0.1587958955247554, 0.10370846622598558, 0.23956494788373156, 0.2377797022672894, 0.03236155992531816, 0.0714945931436627, 0.23281486044704383, 0.18035088192638277, 0.11602767331558946, -0.21905482569750998, 0.0811786766779343, 0.1545828393427655] |
711.2139 | Configuration studies for a cubic-kilometre deep-sea neutrino telescope
- KM3NeT - with NESSY, a fast and flexible approach | Theoretical predictions for neutrino fluxes indicate that km$^{3}$ scale
detectors are needed to detect certain astrophysical sources. The three
Mediterranean experiments, ANTARES, NEMO and NESTOR are working together on a
design study, KM3NeT, for a large deep-sea neutrino telescope. A detector
placed in the Mediterranean Sea will survey a large part of the Galactic disc,
including the Galactic Centre. It will complement the IceCube telescope
currently under construction at the South Pole. Furthermore, the improved
optical properties of sea water, compared to Antarctic ice, will allow a better
angular resolution and hence better background rejection.
The main work presented in this paper is to evaluate different km$^{3}$ scale
detector geometries in order to optimize the muon neutrino sensitivity between
1 and 100 TeV. For this purpose, we have developed a detailed simulation based
on the {\it Mathematica} software - for the muon track production, the light
transmission in water, the environmental background and the detector response.
To compare different geometries, we have mainly used the effective neutrino
area obtained after the full standard reconstruction chain.}
| astro-ph | theoretical predictions for neutrino fluxes indicate that km3 scale detectors are needed to detect certain astrophysical sources the three mediterranean experiments antares nemo and nestor are working together on a design study km3net for a large deepsea neutrino telescope a detector placed in the mediterranean sea will survey a large part of the galactic disc including the galactic centre it will complement the icecube telescope currently under construction at the south pole furthermore the improved optical properties of sea water compared to antarctic ice will allow a better angular resolution and hence better background rejection the main work presented in this paper is to evaluate different km3 scale detector geometries in order to optimize the muon neutrino sensitivity between 1 and 100 tev for this purpose we have developed a detailed simulation based on the it mathematica software for the muon track production the light transmission in water the environmental background and the detector response to compare different geometries we have mainly used the effective neutrino area obtained after the full standard reconstruction chain | [['theoretical', 'predictions', 'for', 'neutrino', 'fluxes', 'indicate', 'that', 'km3', 'scale', 'detectors', 'are', 'needed', 'to', 'detect', 'certain', 'astrophysical', 'sources', 'the', 'three', 'mediterranean', 'experiments', 'antares', 'nemo', 'and', 'nestor', 'are', 'working', 'together', 'on', 'a', 'design', 'study', 'km3net', 'for', 'a', 'large', 'deepsea', 'neutrino', 'telescope', 'a', 'detector', 'placed', 'in', 'the', 'mediterranean', 'sea', 'will', 'survey', 'a', 'large', 'part', 'of', 'the', 'galactic', 'disc', 'including', 'the', 'galactic', 'centre', 'it', 'will', 'complement', 'the', 'icecube', 'telescope', 'currently', 'under', 'construction', 'at', 'the', 'south', 'pole', 'furthermore', 'the', 'improved', 'optical', 'properties', 'of', 'sea', 'water', 'compared', 'to', 'antarctic', 'ice', 'will', 'allow', 'a', 'better', 'angular', 'resolution', 'and', 'hence', 'better', 'background', 'rejection', 'the', 'main', 'work', 'presented', 'in', 'this', 'paper', 'is', 'to', 'evaluate', 'different', 'km3', 'scale', 'detector', 'geometries', 'in', 'order', 'to', 'optimize', 'the', 'muon', 'neutrino', 'sensitivity', 'between', '1', 'and', '100', 'tev', 'for', 'this', 'purpose', 'we', 'have', 'developed', 'a', 'detailed', 'simulation', 'based', 'on', 'the', 'it', 'mathematica', 'software', 'for', 'the', 'muon', 'track', 'production', 'the', 'light', 'transmission', 'in', 'water', 'the', 'environmental', 'background', 'and', 'the', 'detector', 'response', 'to', 'compare', 'different', 'geometries', 'we', 'have', 'mainly', 'used', 'the', 'effective', 'neutrino', 'area', 'obtained', 'after', 'the', 'full', 'standard', 'reconstruction', 'chain']] | [-0.04236439101671634, 0.15798909247895682, -0.02419788830100034, 0.15434837687276196, -0.07367687240168024, -0.07165327698966467, -0.009471256036348855, 0.3623628442593176, -0.14177158974036147, -0.35824039076380004, 0.13318687437594623, -0.3281205400714822, -0.06275569637180252, 0.2374174501733512, -0.014290702861102149, 0.05650424049503502, 0.12654714863586786, -0.03444886889078536, -0.05237210174385544, -0.25267683690073955, 0.239434862573599, 0.22454255257315678, 0.2954541444537583, 0.08350396272559094, 0.14814995033211534, -0.0641742298411655, -0.09832338202341952, -0.045166127710207095, -0.11942124987261446, 0.07135793494178388, 0.2868091069996871, 0.12719432539146008, 0.11798252864344709, -0.43127023085052596, -0.17929145314141268, 0.1072618099111507, 0.10422042322387898, 0.03634040165242964, -0.04520418221430703, -0.30613070211223403, 0.06622365551690261, -0.19473669224622092, -0.18167388564425296, 0.02630197863392572, -0.06663245527641098, -0.0010477472257254452, -0.2092032674579592, -0.04739839781625009, -0.06074966970427549, 0.06625409937201432, -0.05180738920790154, -0.18887472454586934, 0.03157733414113393, 0.11735853592693891, 0.03782502468809186, 0.037074083589477703, 0.1656728964727158, -0.1020889970799356, -0.047461888066428745, 0.352123580091558, -0.0612744831195069, -0.1430341381922193, 0.18497973539325913, -0.2018205569990129, -0.14203659590901058, 0.16679406512713316, 0.24386104109065457, 0.056811305845488165, -0.228641391711058, 0.05122562723325287, -0.01997284024777212, 0.17332041355775904, 0.0727498525587692, -0.008907517434322628, 0.26966323467619163, 0.2745205171556137, 0.13714439369170744, 0.08311187080509061, -0.2501085190164011, -0.034374240020439886, -0.32423009860982327, -0.11670251946040595, -0.0968100169122262, 0.039967068438899925, -0.027839371782992485, -0.09436903117544382, 0.42181011320402223, 0.16825354062125006, 0.11832089462162305, 0.015497230942897637, 0.3275566547975244, -0.03809699107258548, 0.0895056710524977, 0.030129203224961442, 0.3083595917506636, 0.08133291747506666, 0.17262835388243114, -0.2302245179581959, -0.004628214015004535, 0.024658181000736423] |
711.214 | Holonomy for Quantum Channels | A quantum holonomy reflects the curvature of some underlying structure of
quantum mechanical systems, such as that associated with quantum states. Here,
we extend the notion of holonomy to families of quantum channels, i.e., trace
preserving completely positive maps. By the use of the Jamio{\l}kowski
isomorphism, we show that the proposed channel holonomy is related to the
Uhlmann holonomy. The general theory is illustrated for specific examples. We
put forward a physical realization of the channel holonomy in terms of
interferometry. This enables us to identify a gauge invariant physical object
that directly relates to the channel holonomy. Parallel transport condition and
concomitant gauge structure are delineated in the case of smoothly parametrized
families of channels. Finally, we point out that interferometer tests that have
been carried out in the past to confirm the $4\pi$ rotation symmetry of the
neutron spin, can be viewed as early experimental realizations of the channel
holonomy.
| quant-ph | a quantum holonomy reflects the curvature of some underlying structure of quantum mechanical systems such as that associated with quantum states here we extend the notion of holonomy to families of quantum channels ie trace preserving completely positive maps by the use of the jamiolkowski isomorphism we show that the proposed channel holonomy is related to the uhlmann holonomy the general theory is illustrated for specific examples we put forward a physical realization of the channel holonomy in terms of interferometry this enables us to identify a gauge invariant physical object that directly relates to the channel holonomy parallel transport condition and concomitant gauge structure are delineated in the case of smoothly parametrized families of channels finally we point out that interferometer tests that have been carried out in the past to confirm the 4pi rotation symmetry of the neutron spin can be viewed as early experimental realizations of the channel holonomy | [['a', 'quantum', 'holonomy', 'reflects', 'the', 'curvature', 'of', 'some', 'underlying', 'structure', 'of', 'quantum', 'mechanical', 'systems', 'such', 'as', 'that', 'associated', 'with', 'quantum', 'states', 'here', 'we', 'extend', 'the', 'notion', 'of', 'holonomy', 'to', 'families', 'of', 'quantum', 'channels', 'ie', 'trace', 'preserving', 'completely', 'positive', 'maps', 'by', 'the', 'use', 'of', 'the', 'jamiolkowski', 'isomorphism', 'we', 'show', 'that', 'the', 'proposed', 'channel', 'holonomy', 'is', 'related', 'to', 'the', 'uhlmann', 'holonomy', 'the', 'general', 'theory', 'is', 'illustrated', 'for', 'specific', 'examples', 'we', 'put', 'forward', 'a', 'physical', 'realization', 'of', 'the', 'channel', 'holonomy', 'in', 'terms', 'of', 'interferometry', 'this', 'enables', 'us', 'to', 'identify', 'a', 'gauge', 'invariant', 'physical', 'object', 'that', 'directly', 'relates', 'to', 'the', 'channel', 'holonomy', 'parallel', 'transport', 'condition', 'and', 'concomitant', 'gauge', 'structure', 'are', 'delineated', 'in', 'the', 'case', 'of', 'smoothly', 'parametrized', 'families', 'of', 'channels', 'finally', 'we', 'point', 'out', 'that', 'interferometer', 'tests', 'that', 'have', 'been', 'carried', 'out', 'in', 'the', 'past', 'to', 'confirm', 'the', '4pi', 'rotation', 'symmetry', 'of', 'the', 'neutron', 'spin', 'can', 'be', 'viewed', 'as', 'early', 'experimental', 'realizations', 'of', 'the', 'channel', 'holonomy']] | [-0.192449190525191, 0.13936370146754934, -0.11358766500396948, 0.06008695292525532, -0.08975511875714322, -0.1445061475357139, 0.014232956910793865, 0.3587922484025751, -0.27032556199762775, -0.2350291443106375, 0.0848310771344634, -0.2442707934441339, -0.1675892452017012, 0.18016613652549782, -0.08203753531300831, 0.08820659012876843, 0.04117211395274162, 0.05537909675790855, -0.11884126582912072, -0.21919129702023624, 0.3800743226954517, 0.054530800580610765, 0.2611413290111446, 0.05099072643267726, 0.11972169628011455, -0.04240839024638071, -0.03037937213115296, 0.010445249099958394, -0.12393729275634924, 0.060485723812522145, 0.24842343446002096, 0.0785651197825485, 0.14338637242326513, -0.4108649929679048, -0.24320758896953376, 0.10404067401817117, 0.11883248115038059, 0.1263318366315951, -0.02441590938619093, -0.33897154947197505, 0.08978198914739646, -0.16168100928801946, -0.14568855783038184, -0.0985418434199681, -0.01989412116573045, -0.05704436232534997, -0.1886356550883073, 0.04768871068364732, 0.06592295256958, 0.03881444058558708, -0.009389985152091341, -0.06963150140807939, -0.03861347553595949, 0.13928927282349354, 0.03126964955376216, 0.019918735852115788, 0.12772919215019915, -0.11844120241585188, -0.14921297472411474, 0.36143507312149986, -0.033265558684912606, -0.23374899049093456, 0.1384513590432777, -0.13890420531855566, -0.1538381009319748, 0.08527973491245096, 0.13286137552916588, 0.08984162911962669, -0.09978137478174176, 0.10472844983412774, -0.055622973467076293, 0.10426112365434835, 0.06906970162373527, 0.06501548654150131, 0.2006499095648331, 0.08589355382872255, 0.07455133412823718, 0.1778833796792433, -0.07479699464142629, -0.16436110412407862, -0.36739609189221245, -0.21242858851512306, -0.14103687887606947, 0.12603921674982352, -0.05831651536946562, -0.14242069096776264, 0.41054153376209895, 0.12965913259856615, 0.20096905595882594, 0.02051713748675722, 0.23195769003053246, 0.08184475865748123, 0.08304713837385766, 0.03059744322519308, 0.23340698121223555, 0.23611494144700518, 0.029967354742295452, -0.2522136774312362, -1.208497499311833e-05, 0.05105649032568755] |
711.2141 | Macroscopic Periodic Tunneling of Fermi Atoms in the BCS-BEC Crossover | We study the macroscopic quantum tunneling of two weakly-linked superfluids
made of interacting fermionic atoms. We derive atomic Josephson junction
equations and find that zero-mode and pi-mode frequencies of coherent atomic
oscillations depend on the tunneling coefficient and the sound velocity of the
superfluid. By considering a superfluid of ^40K atoms, we calculate these
oscillation frequencies in the crossover from the Bardeen-Cooper-Schrieffer
state of weakly-bound Cooper pairs to the Bose-Einstein Condensate of
strongly-bound molecular dimers.
| cond-mat.stat-mech cond-mat.soft cond-mat.supr-con | we study the macroscopic quantum tunneling of two weaklylinked superfluids made of interacting fermionic atoms we derive atomic josephson junction equations and find that zeromode and pimode frequencies of coherent atomic oscillations depend on the tunneling coefficient and the sound velocity of the superfluid by considering a superfluid of 40k atoms we calculate these oscillation frequencies in the crossover from the bardeencooperschrieffer state of weaklybound cooper pairs to the boseeinstein condensate of stronglybound molecular dimers | [['we', 'study', 'the', 'macroscopic', 'quantum', 'tunneling', 'of', 'two', 'weaklylinked', 'superfluids', 'made', 'of', 'interacting', 'fermionic', 'atoms', 'we', 'derive', 'atomic', 'josephson', 'junction', 'equations', 'and', 'find', 'that', 'zeromode', 'and', 'pimode', 'frequencies', 'of', 'coherent', 'atomic', 'oscillations', 'depend', 'on', 'the', 'tunneling', 'coefficient', 'and', 'the', 'sound', 'velocity', 'of', 'the', 'superfluid', 'by', 'considering', 'a', 'superfluid', 'of', '40k', 'atoms', 'we', 'calculate', 'these', 'oscillation', 'frequencies', 'in', 'the', 'crossover', 'from', 'the', 'bardeencooperschrieffer', 'state', 'of', 'weaklybound', 'cooper', 'pairs', 'to', 'the', 'boseeinstein', 'condensate', 'of', 'stronglybound', 'molecular', 'dimers']] | [-0.2268374297892054, 0.32693767404804625, -0.051181973963975905, 0.04479259472961227, 0.025944314350684484, -0.16261673762773474, 0.11130630826887986, 0.28381991043686866, -0.17984685733603933, -0.18988321253408988, -0.13218821526970714, -0.33607591802875203, -0.042878015997509164, 0.1510126354948928, 0.12874487708633145, 0.03713913258786003, -0.005665636373062929, -0.0057038509100675585, -0.07492074600110452, -0.20903248171011607, 0.3765390405462434, -0.06388753942058732, 0.33180899158120153, 0.0821773004407684, 0.0833678219281137, -0.044541764340053004, 0.09862443195345501, -0.05383262917399406, -0.2163355273216924, 0.06101847962786754, 0.2555389971037706, -0.06824897601579627, 0.1427357350413998, -0.5123462428152561, -0.16253521324445805, 0.06874006398643057, 0.22280212963659626, 0.27111079784110187, 0.014704081277983883, -0.3720330751935641, -0.1371147788812717, -0.18772608223060766, -0.1325550686009228, -0.1176678759822001, 0.016649461885293326, 0.08634262181508044, -0.1794776548879842, 0.1607350288455685, 0.025682079335674644, 0.0893860575929284, -0.08542641914372022, -0.06372319669695571, -0.013462887803713481, -0.004627836886793375, -0.026730144809310633, -0.030674709333106877, 0.19990346162890393, -0.1616960149099274, -0.05231132344653209, 0.37063307473435997, -0.1437278401882698, -0.08988232822778325, 0.17851041627426942, -0.17201771338780722, -0.001344859196494023, 0.12805831602464118, 0.07536999639123679, 0.05791106110438705, -0.1249666869516174, 0.02777833809843287, -0.09111072772492965, 0.1613913350303968, 0.14691909108310938, 0.11870103801911076, 0.30606699923674263, 0.1626830012599627, -0.01845431209076196, 0.14856482273355748, -0.15385595183974754, -0.12329206025848786, -0.2467750593709449, -0.15551623846093812, -0.2373139782746633, 0.05556480024009943, 0.018374021904504236, -0.19762391128732512, 0.37635120381911596, 0.1424046415835619, 0.20621034673104682, -0.06065526555292308, 0.2609368245303631, 0.1518175933137536, 0.009162922694037358, -0.02484283480172356, 0.26490942992269995, 0.23137315472277503, 0.04440332820639014, -0.42730439589358865, -0.07381213045368593, 0.06497272808104754] |
711.2142 | Primary transit of the planet HD189733b at 3.6 and 5.8 microns | The hot Jupiter HD 189733b was observed during its primary transit using the
Infrared Array Camera on the Spitzer Space Telescope. The transit depths were
measured simultaneously at 3.6 and 5.8 microns. Our analysis yields values of
2.356 +- 0.019 % and 2.436 +- 0.020$ % at 3.6 and 5.8 microns respectively, for
a uniform source. We estimated the contribution of the limb-darkening and
star-spot effects on the final results. We concluded that although the limb
darkening increases by ~0.02-0.03 % the transit depths, and the differential
effects between the two IRAC bands is even smaller, 0.01 %. Furthermore, the
host star is known to be an active spotted K star with observed photometric
modulation. If we adopt an extreme model of 20 % coverage with spots 1000K
cooler of the star surface, it will make the observed transits shallower by
0.19 and 0.18 %. The difference between the two bands will be only of 0.01 %,
in the opposite direction to the limb darkening correction. If the transit
depth is affected by limb darkening and spots, the differential effects between
the 3.6 and 5.8 microns bands are very small. The differential transit depths
at 3.6 and 5.8 microns and the recent one published by Knutson et al.(2007) at
8 microns are in agreement with the presence of water vapour in the upper
atmosphere of the planet. This is the companion paper to Tinetti et al.
(2007b), where the detailed atmosphere models are presented.
| astro-ph | the hot jupiter hd 189733b was observed during its primary transit using the infrared array camera on the spitzer space telescope the transit depths were measured simultaneously at 36 and 58 microns our analysis yields values of 2356 0019 and 2436 0020 at 36 and 58 microns respectively for a uniform source we estimated the contribution of the limbdarkening and starspot effects on the final results we concluded that although the limb darkening increases by 002003 the transit depths and the differential effects between the two irac bands is even smaller 001 furthermore the host star is known to be an active spotted k star with observed photometric modulation if we adopt an extreme model of 20 coverage with spots 1000k cooler of the star surface it will make the observed transits shallower by 019 and 018 the difference between the two bands will be only of 001 in the opposite direction to the limb darkening correction if the transit depth is affected by limb darkening and spots the differential effects between the 36 and 58 microns bands are very small the differential transit depths at 36 and 58 microns and the recent one published by knutson et al2007 at 8 microns are in agreement with the presence of water vapour in the upper atmosphere of the planet this is the companion paper to tinetti et al 2007b where the detailed atmosphere models are presented | [['the', 'hot', 'jupiter', 'hd', '189733b', 'was', 'observed', 'during', 'its', 'primary', 'transit', 'using', 'the', 'infrared', 'array', 'camera', 'on', 'the', 'spitzer', 'space', 'telescope', 'the', 'transit', 'depths', 'were', 'measured', 'simultaneously', 'at', '36', 'and', '58', 'microns', 'our', 'analysis', 'yields', 'values', 'of', '2356', '0019', 'and', '2436', '0020', 'at', '36', 'and', '58', 'microns', 'respectively', 'for', 'a', 'uniform', 'source', 'we', 'estimated', 'the', 'contribution', 'of', 'the', 'limbdarkening', 'and', 'starspot', 'effects', 'on', 'the', 'final', 'results', 'we', 'concluded', 'that', 'although', 'the', 'limb', 'darkening', 'increases', 'by', '002003', 'the', 'transit', 'depths', 'and', 'the', 'differential', 'effects', 'between', 'the', 'two', 'irac', 'bands', 'is', 'even', 'smaller', '001', 'furthermore', 'the', 'host', 'star', 'is', 'known', 'to', 'be', 'an', 'active', 'spotted', 'k', 'star', 'with', 'observed', 'photometric', 'modulation', 'if', 'we', 'adopt', 'an', 'extreme', 'model', 'of', '20', 'coverage', 'with', 'spots', '1000k', 'cooler', 'of', 'the', 'star', 'surface', 'it', 'will', 'make', 'the', 'observed', 'transits', 'shallower', 'by', '019', 'and', '018', 'the', 'difference', 'between', 'the', 'two', 'bands', 'will', 'be', 'only', 'of', '001', 'in', 'the', 'opposite', 'direction', 'to', 'the', 'limb', 'darkening', 'correction', 'if', 'the', 'transit', 'depth', 'is', 'affected', 'by', 'limb', 'darkening', 'and', 'spots', 'the', 'differential', 'effects', 'between', 'the', '36', 'and', '58', 'microns', 'bands', 'are', 'very', 'small', 'the', 'differential', 'transit', 'depths', 'at', '36', 'and', '58', 'microns', 'and', 'the', 'recent', 'one', 'published', 'by', 'knutson', 'et', 'al2007', 'at', '8', 'microns', 'are', 'in', 'agreement', 'with', 'the', 'presence', 'of', 'water', 'vapour', 'in', 'the', 'upper', 'atmosphere', 'of', 'the', 'planet', 'this', 'is', 'the', 'companion', 'paper', 'to', 'tinetti', 'et', 'al', '2007b', 'where', 'the', 'detailed', 'atmosphere', 'models', 'are', 'presented']] | [-0.058693928100789584, 0.15666742971165476, -0.05308585316758666, 0.040324151249797456, -0.06431889643446885, -0.11896255185716173, 0.07524279955203414, 0.3879682697936829, -0.18018273501378348, -0.4085761135828116, 0.10422453326103477, -0.35565477550332236, -0.08848695599665053, 0.1858754672615542, -0.1111596902179667, 0.0007574639184739735, 0.07153265940276189, -0.10007715991869345, -0.018104091330439363, -0.28413248266009855, 0.21628201780164152, 0.09099309432965058, 0.13749351805079982, 0.039577596381099686, 0.028433890661033683, -0.049065562187988535, -0.09237783328972311, -0.03556898516778432, -0.18969526514600646, 0.04536131141920232, 0.18846926068793896, 0.030825407140784793, 0.14411005021906736, -0.32912400444476014, -0.20654906749946234, 0.01629145308666361, 0.09762746439430799, 0.005790538111757328, 0.024684969495554578, -0.2633916391696558, 0.06599106079138592, -0.11813725069021949, -0.11616359391591997, 0.0960113124600532, 0.1006628846616333, -0.02756959124484187, -0.26352240146599454, 0.09407072994284905, 0.0008876243701730019, 0.17833278219016074, -0.12242133203649129, -0.19024128086753508, -0.1250859158184244, 0.07404191352817047, -0.011726653163070576, 0.08330443701286128, 0.1238045551849959, -0.05786310399297434, 0.0006171754450919345, 0.37609889687031, -0.14462077329940218, -0.027515173509605546, 0.18602784071714643, -0.23279766384591785, -0.09546242203251519, 0.20980886072238797, 0.14267616897112984, 0.10576873165993099, -0.15040068078833896, -0.006342636680521039, -0.007243026414106035, 0.22930528151078355, 0.10259738443299937, 0.03185293499977227, 0.32088858240908885, 0.10781173846280426, 0.025548265737473454, 0.07452632667064969, -0.34675014262887627, -0.028286289794093922, -0.22479604510590434, -0.08116072865151283, -0.10574810567877105, 0.0021993790063648843, -0.11716780963124465, -0.06518297595343589, 0.3509514257645147, 0.13596861495618492, 0.20094675509135723, 0.058909935134455055, 0.3335848887825114, 0.10350312677268775, 0.08409705227857822, 0.10641254003470142, 0.3662456463918918, 0.14212393556307587, 0.12760924198465723, -0.22524430952781144, 0.06644861215238798, -0.01838574010050959] |
711.2143 | A Singular Control Model with Application to the Goodwill Problem | We consider a stochastic system whose uncontrolled state dynamics are
modelled by a general one-dimensional It\^{o} diffusion. The control effort
that can be applied to this system takes the form that is associated with the
so-called monotone follower problem of singular stochastic control. The control
problem that we address aims at maximising a performance criterion that rewards
high values of the utility derived from the system's controlled state but
penalises any expenditure of control effort. This problem has been motivated by
applications such as the so-called goodwill problem in which the system's state
is used to represent the image that a product has in a market, while control
expenditure is associated with raising the product's image, e.g., through
advertising. We obtain the solution to the optimisation problem that we
consider in a closed analytic form under rather general assumptions. Also, our
analysis establishes a number of results that are concerned with analytic as
well as probabilistic expressions for the first derivative of the solution to a
second order linear non-homogeneous ordinary differential equation. These
results have independent interest and can potentially be of use to the solution
of other one-dimensional stochastic control problems.
| math.PR math.OC | we consider a stochastic system whose uncontrolled state dynamics are modelled by a general onedimensional ito diffusion the control effort that can be applied to this system takes the form that is associated with the socalled monotone follower problem of singular stochastic control the control problem that we address aims at maximising a performance criterion that rewards high values of the utility derived from the systems controlled state but penalises any expenditure of control effort this problem has been motivated by applications such as the socalled goodwill problem in which the systems state is used to represent the image that a product has in a market while control expenditure is associated with raising the products image eg through advertising we obtain the solution to the optimisation problem that we consider in a closed analytic form under rather general assumptions also our analysis establishes a number of results that are concerned with analytic as well as probabilistic expressions for the first derivative of the solution to a second order linear nonhomogeneous ordinary differential equation these results have independent interest and can potentially be of use to the solution of other onedimensional stochastic control problems | [['we', 'consider', 'a', 'stochastic', 'system', 'whose', 'uncontrolled', 'state', 'dynamics', 'are', 'modelled', 'by', 'a', 'general', 'onedimensional', 'ito', 'diffusion', 'the', 'control', 'effort', 'that', 'can', 'be', 'applied', 'to', 'this', 'system', 'takes', 'the', 'form', 'that', 'is', 'associated', 'with', 'the', 'socalled', 'monotone', 'follower', 'problem', 'of', 'singular', 'stochastic', 'control', 'the', 'control', 'problem', 'that', 'we', 'address', 'aims', 'at', 'maximising', 'a', 'performance', 'criterion', 'that', 'rewards', 'high', 'values', 'of', 'the', 'utility', 'derived', 'from', 'the', 'systems', 'controlled', 'state', 'but', 'penalises', 'any', 'expenditure', 'of', 'control', 'effort', 'this', 'problem', 'has', 'been', 'motivated', 'by', 'applications', 'such', 'as', 'the', 'socalled', 'goodwill', 'problem', 'in', 'which', 'the', 'systems', 'state', 'is', 'used', 'to', 'represent', 'the', 'image', 'that', 'a', 'product', 'has', 'in', 'a', 'market', 'while', 'control', 'expenditure', 'is', 'associated', 'with', 'raising', 'the', 'products', 'image', 'eg', 'through', 'advertising', 'we', 'obtain', 'the', 'solution', 'to', 'the', 'optimisation', 'problem', 'that', 'we', 'consider', 'in', 'a', 'closed', 'analytic', 'form', 'under', 'rather', 'general', 'assumptions', 'also', 'our', 'analysis', 'establishes', 'a', 'number', 'of', 'results', 'that', 'are', 'concerned', 'with', 'analytic', 'as', 'well', 'as', 'probabilistic', 'expressions', 'for', 'the', 'first', 'derivative', 'of', 'the', 'solution', 'to', 'a', 'second', 'order', 'linear', 'nonhomogeneous', 'ordinary', 'differential', 'equation', 'these', 'results', 'have', 'independent', 'interest', 'and', 'can', 'potentially', 'be', 'of', 'use', 'to', 'the', 'solution', 'of', 'other', 'onedimensional', 'stochastic', 'control', 'problems']] | [-0.11963496427292998, 0.038114104511631275, -0.07113625555012106, 0.0485699846104048, -0.09625223223023464, -0.1254591378874937, 0.03444073209116824, 0.34486326168971665, -0.3097209002282181, -0.2884693430553292, 0.1768835428408516, -0.26611628694643163, -0.1705057479819968, 0.21789290622320664, -0.09854243234417599, 0.09494693305560839, 0.047166957762430135, 0.05821014197369545, -0.04187925813907825, -0.22877796707250217, 0.33254498175171643, 0.0070396304671010825, 0.2434360070269883, 0.003977731399544529, 0.13579937868501715, -0.002419286832174798, 0.016789535108779997, 0.05489654865579129, -0.11122390043382971, 0.13719108938106814, 0.2896327341284236, 0.12827497924139833, 0.35072254177684764, -0.42952788199438025, -0.22592612062556755, 0.12452218932379519, 0.11303727592347936, 0.09919470098952961, -0.06689249576006683, -0.25502576203679017, 0.07391335969848722, -0.18365587101081493, -0.13031725456499027, -0.07501301219460067, -0.0167577292919738, 0.046115333566362514, -0.30575330587769883, 0.05371859000312343, 0.05645848450629726, 0.001266432974313825, -0.10846205533891096, -0.07597362533105546, 0.00246674231364551, 0.14199596299389328, 0.04307306519289709, 0.0015775704939748338, 0.10240974866693424, -0.14089489080629508, -0.14408467757187474, 0.3852634111460337, -0.07087899186259976, -0.268782768996886, 0.15136253300914299, -0.08758259589248216, -0.11534126944371881, 0.13423804127915037, 0.20031176750678473, 0.12742999083980183, -0.1926121251619001, 0.08809653205834474, -0.062316065690349885, 0.15197320322601435, 0.026284801735122897, 0.007630799914507553, 0.15093333035987352, 0.17082397810815605, 0.1388666603769721, 0.17330619305465128, -0.010081558932859084, -0.14130708762478333, -0.2736271396086315, -0.1439297041793021, -0.15818539358810593, 0.06829199993348357, -0.055795154172291986, -0.1611590214541732, 0.36269447385753295, 0.14510172792744142, 0.1861922483206027, 0.06845824521124227, 0.29093924606547067, 0.20745944606449088, 0.016646595642819922, 0.041375797007889174, 0.19682969407623616, 0.09381715349438045, 0.10799924198687656, -0.21525094505906747, 0.12744636889884894, 0.05583680897873918] |
711.2144 | Reflecting Ornstein-Uhlenbeck processes on pinned path spaces | Consider a set of continuous maps from the interval $[0,1]$ to a domain in
${\mathbb R}^d$. Although the topological boundary of this set in the path
space is not smooth in general, by using the theory of functions of bounded
variation (BV functions) on the Wiener space and the theory of Dirichlet forms,
we can discuss the existence of the surface measure and the Skorokhod
representation of the reflecting Ornstein-Uhlenbeck process associated with the
canonical Dirichlet form on this set.
| math.PR | consider a set of continuous maps from the interval 01 to a domain in mathbb rd although the topological boundary of this set in the path space is not smooth in general by using the theory of functions of bounded variation bv functions on the wiener space and the theory of dirichlet forms we can discuss the existence of the surface measure and the skorokhod representation of the reflecting ornsteinuhlenbeck process associated with the canonical dirichlet form on this set | [['consider', 'a', 'set', 'of', 'continuous', 'maps', 'from', 'the', 'interval', '01', 'to', 'a', 'domain', 'in', 'mathbb', 'rd', 'although', 'the', 'topological', 'boundary', 'of', 'this', 'set', 'in', 'the', 'path', 'space', 'is', 'not', 'smooth', 'in', 'general', 'by', 'using', 'the', 'theory', 'of', 'functions', 'of', 'bounded', 'variation', 'bv', 'functions', 'on', 'the', 'wiener', 'space', 'and', 'the', 'theory', 'of', 'dirichlet', 'forms', 'we', 'can', 'discuss', 'the', 'existence', 'of', 'the', 'surface', 'measure', 'and', 'the', 'skorokhod', 'representation', 'of', 'the', 'reflecting', 'ornsteinuhlenbeck', 'process', 'associated', 'with', 'the', 'canonical', 'dirichlet', 'form', 'on', 'this', 'set']] | [-0.10029153426876292, 0.08984565584105439, -0.08059283187030815, 0.04017026571902989, -0.07250601956620813, -0.00598973265150562, 0.03988557537959423, 0.35440346093382685, -0.3384323637932539, -0.18495217704912648, 0.1356938220342272, -0.2608039502170868, -0.14509633673587813, 0.17652252882253378, -0.10773661192506552, 0.06339537182357162, 0.011882447349489667, 0.07396113198483363, -0.11018007784150541, -0.18833740373229374, 0.4320986938313581, -0.07633583846036344, 0.2089036012068391, 0.014599500747863203, 0.11947359908372164, 0.010808623855700717, -0.04357433976838365, -0.006580847234727116, -0.16566246281727218, 0.17928778686909935, 0.1932272577279946, 0.09415226842393168, 0.28247492015361786, -0.4060303460108116, -0.24349850662983955, 0.16529779420234264, 0.076065782783553, -0.0214939626515843, 0.012035754074167926, -0.3135339949280024, 0.0835236199431165, -0.08162695402279496, -0.11973579343175515, -0.015266634931322187, 0.026891528224223294, 0.04268106835661456, -0.29639422870823184, 0.05267084860242903, 0.07167465265374631, 0.051412771421018987, -0.14113732810365037, -0.07768053758627502, -0.056076311753713526, 0.0761098982708063, -0.0028151378141046735, 0.11407504678936675, 0.07116014676284976, -0.09806132432422601, -0.0984542198246345, 0.359498373628594, -0.09621172733459389, -0.30108746766345573, 0.16478438216727226, -0.23528248238726518, -0.10786326518864371, 0.09690683640073985, 0.1667832254384848, 0.1297261491185054, -0.1414052827982232, 0.2193504170732922, -0.06310029817832401, 0.10088309664279223, 0.077626955404412, 0.007666442188929068, 0.16191062265688744, 0.14462599129474257, 0.14524845590931362, 0.17244299346930347, -0.054383884903654686, -0.10911234862869605, -0.4081609904533252, -0.1724491793778725, -0.19747723143082113, 0.06713871877891506, -0.13899670304926987, -0.2566701591655146, 0.3826841228525154, 0.08403616711148061, 0.21794907649746165, 0.09161834950791672, 0.18429171396419405, 0.1896801256652907, -0.007896182812692132, 0.04048937749466859, 0.10022472860291601, 0.12651772701938171, 0.06548217989038677, -0.17832460583304055, 0.04040389891306404, 0.12087547372266272] |
711.2145 | Sensitivity studies for the cubic-kilometre deep-sea neutrino telescope
KM3NeT | The observation of high-energy neutrinos from astrophysical sources would
substantially improve our knowledge and understanding of the non-thermal
processes in these sources, and would in particular pinpoint the accelerators
of cosmic rays. The sensitivity of different design options for a future
cubic-kilometre scale neutrino telescope in the Mediterranean Sea is
investigated for generic point sources and in particular for some of the
galactic objects from which TeV gamma emmission has recently been observed by
the H.E.S.S. atmospheric Cherenkov telescope. The effect of atmospheric
background on the source detection probabilities has been taken into account
through full simulation. The estimated event rates are compared to previous
results and limits from present neutrino telescopes.
| astro-ph | the observation of highenergy neutrinos from astrophysical sources would substantially improve our knowledge and understanding of the nonthermal processes in these sources and would in particular pinpoint the accelerators of cosmic rays the sensitivity of different design options for a future cubickilometre scale neutrino telescope in the mediterranean sea is investigated for generic point sources and in particular for some of the galactic objects from which tev gamma emmission has recently been observed by the hess atmospheric cherenkov telescope the effect of atmospheric background on the source detection probabilities has been taken into account through full simulation the estimated event rates are compared to previous results and limits from present neutrino telescopes | [['the', 'observation', 'of', 'highenergy', 'neutrinos', 'from', 'astrophysical', 'sources', 'would', 'substantially', 'improve', 'our', 'knowledge', 'and', 'understanding', 'of', 'the', 'nonthermal', 'processes', 'in', 'these', 'sources', 'and', 'would', 'in', 'particular', 'pinpoint', 'the', 'accelerators', 'of', 'cosmic', 'rays', 'the', 'sensitivity', 'of', 'different', 'design', 'options', 'for', 'a', 'future', 'cubickilometre', 'scale', 'neutrino', 'telescope', 'in', 'the', 'mediterranean', 'sea', 'is', 'investigated', 'for', 'generic', 'point', 'sources', 'and', 'in', 'particular', 'for', 'some', 'of', 'the', 'galactic', 'objects', 'from', 'which', 'tev', 'gamma', 'emmission', 'has', 'recently', 'been', 'observed', 'by', 'the', 'hess', 'atmospheric', 'cherenkov', 'telescope', 'the', 'effect', 'of', 'atmospheric', 'background', 'on', 'the', 'source', 'detection', 'probabilities', 'has', 'been', 'taken', 'into', 'account', 'through', 'full', 'simulation', 'the', 'estimated', 'event', 'rates', 'are', 'compared', 'to', 'previous', 'results', 'and', 'limits', 'from', 'present', 'neutrino', 'telescopes']] | [-0.03615000215774801, 0.1862147988826369, -0.046739661118148694, 0.15363819428707107, -0.08236857656655568, -0.04523483744248681, 0.02915862600327403, 0.37895815442815156, -0.175098209197001, -0.3598997049640665, 0.09640242305093645, -0.32302058151357677, -0.028045808780007064, 0.29043339942914564, 0.01827967269855435, 0.03617847289673851, 0.12006520706927404, -0.03913204112489309, -0.010046864789079077, -0.1978645094703617, 0.28619643500236897, 0.22037088979829736, 0.25218991834637045, 0.08225310051680676, 0.14210455122312332, -0.07995013146761007, -0.1335207954564664, -0.05670893985578524, -0.07283742893793844, 0.03811308720988953, 0.27052857471530195, 0.154566065778064, 0.1309751505364797, -0.4165699811419472, -0.2934608173922503, 0.13662968104667275, 0.13459270394689934, 0.03140356351104856, -0.06868647319658651, -0.3742784783431229, 0.04028123850158798, -0.16738382867437654, -0.14784547109489463, 0.05725351224828046, -0.03243544442479366, 0.035332452152423297, -0.21451922830809572, -0.010227489522159365, -0.010406329828713621, 0.02157433657911107, -0.08910626832429054, -0.19008283172401466, 0.020513939384337782, 0.13054864226640867, 0.10213141114426046, -0.010181935387663543, 0.10968992367478288, -0.16186991793802008, -0.11712514512016371, 0.3996253697051933, -0.032356261737212275, -0.07523748873167538, 0.17424045858206227, -0.21758081992239958, -0.18773829097543576, 0.19076605407255037, 0.22956726864296279, 0.06716948027522969, -0.22157408267126552, 0.10971329077853754, -0.0026959258996482405, 0.14309234613158747, 0.04876339203370402, 0.047431324903819974, 0.29788583763625603, 0.20716672122944146, 0.07817709550727159, 0.07211764123764754, -0.26061426042412805, -0.014708656019398145, -0.28577342003700323, -0.09507094555894062, -0.11908492056785949, 0.0892786125166692, -0.058446508794336945, -0.06252762172048928, 0.38744740246745224, 0.17963437773037835, 0.13427170626112325, -0.012520357000799518, 0.30081218496031525, 0.04399052692731077, 0.06720095966842823, 0.03157308456970246, 0.34906702150770536, 0.06861791258727733, 0.12466169940307736, -0.1846846967465743, 0.08169620441081601, 0.007511984640067177] |
711.2146 | Hypersurfaces with free boundary and large constant mean curvature:
concentration along submanifolds | Given a domain $\Omega$ of $\mathbb{R}^{m+1}$ and a $k$-dimensional
non-degenerate minimal submanifold $K$ of $\pa \Omega$ with $1\le k\le m-1$, we
prove the existence of a family of embedded constant mean curvature
hypersurfaces which as their mean curvature tends to infinity concentrate along
$K$ and intersecting $\partial \Omega$ perpendicularly.
| math.AP math.DG | given a domain omega of mathbbrm1 and a kdimensional nondegenerate minimal submanifold k of pa omega with 1le kle m1 we prove the existence of a family of embedded constant mean curvature hypersurfaces which as their mean curvature tends to infinity concentrate along k and intersecting partial omega perpendicularly | [['given', 'a', 'domain', 'omega', 'of', 'mathbbrm1', 'and', 'a', 'kdimensional', 'nondegenerate', 'minimal', 'submanifold', 'k', 'of', 'pa', 'omega', 'with', '1le', 'kle', 'm1', 'we', 'prove', 'the', 'existence', 'of', 'a', 'family', 'of', 'embedded', 'constant', 'mean', 'curvature', 'hypersurfaces', 'which', 'as', 'their', 'mean', 'curvature', 'tends', 'to', 'infinity', 'concentrate', 'along', 'k', 'and', 'intersecting', 'partial', 'omega', 'perpendicularly']] | [-0.2992295013094435, 0.130109390899615, 0.00304540719989003, -0.029753329916572084, -0.10851114496056523, -0.1894315731787712, -0.006978030297525075, 0.36051245296982176, -0.27009674222493657, -0.15573174004652063, 0.07249532304989288, -0.3387339121224929, -0.03831986865644671, 0.054424120305695246, -0.072028159905149, 0.02342600582585651, 0.016742791467327243, 0.16208394833517317, -0.035066175933841766, -0.22094760766747046, 0.34533247442878023, -0.13275843227700312, 0.1586144744247502, 0.06600294926926037, 0.13882752223420242, -0.02590460678305933, 0.09137484237399636, 0.03556912289742304, -0.3145862061492338, 0.12498130907817763, 0.22652994388030195, 0.08271217777165679, 0.2567407195218744, -0.3331585632903235, -0.2058935815810549, 0.22206392321659593, 0.22138416457313057, -0.04900102656838313, 0.043852899634583414, -0.2445291296521924, 0.14634449913033418, 0.004542153841834895, -0.27335955955240193, -0.0012342910833504734, 0.07634562242310494, 0.04338936108563628, -0.2715256115307613, 0.04708800805086384, 0.18201728881697873, 0.10105561504463609, -0.06488461418039336, -0.2169709518665866, -0.11160105089086811, 0.0323319827700604, 0.03789106163443351, 0.17429634178893602, 0.0708753352756707, -0.011404977389136138, -0.02710715534963778, 0.33269604689284815, -0.16927997456217297, -0.29403439816087484, 0.05313535485112546, -0.2011188884854925, -0.06410355941031357, 0.17437538899937455, 0.20595662026875178, 0.26112701804662236, -0.013790827995280221, 0.23136549113955043, -0.05455133847284074, 0.0777254985759453, 0.19250556317215062, 0.003588796346163263, 0.14034803817523833, 0.0443261981922753, 0.1823784690445327, 0.13431016162836126, -0.062154852519077916, -0.02555901625630807, -0.4346394872634995, -0.17975357684724946, -0.15637996184582614, 0.19694245234131813, -0.18867494583329453, -0.19101271664305608, 0.2507009815272628, -0.04100435600635045, 0.2780788972669718, 0.14273834912990202, 0.215373498330615, 0.016288734114804894, -0.05038300422685487, 0.16229267598947092, 0.09029260336668515, 0.23389382523541546, 0.0013400748828235939, -0.17029868628905745, -0.07221420392470092, 0.06115081541392268] |
711.2147 | A Deconvolution technique for VHE Gamma-ray Astronomy, and its
application to the morphological study of shell-type supernova remnants | Deconvolution algorithms have been used successfully for
optimization/restoration/deblurring of astronomical images in a variety of
wavelengths, especially in the optical band (e.g., for HST). We present here an
iterative Richardson-Lucy type method designed for treatment of images obtained
with the H.E.S.S. array of ground-based gamma-ray telescopes. Its application
to shell-type supernova remnant images yields refined details relevant for the
study of correlations with other wavelengths, and hence for interpretation in
terms either of hadronic or leptonic origin of the observed VHE gamma-ray
emission.
| astro-ph | deconvolution algorithms have been used successfully for optimizationrestorationdeblurring of astronomical images in a variety of wavelengths especially in the optical band eg for hst we present here an iterative richardsonlucy type method designed for treatment of images obtained with the hess array of groundbased gammaray telescopes its application to shelltype supernova remnant images yields refined details relevant for the study of correlations with other wavelengths and hence for interpretation in terms either of hadronic or leptonic origin of the observed vhe gammaray emission | [['deconvolution', 'algorithms', 'have', 'been', 'used', 'successfully', 'for', 'optimizationrestorationdeblurring', 'of', 'astronomical', 'images', 'in', 'a', 'variety', 'of', 'wavelengths', 'especially', 'in', 'the', 'optical', 'band', 'eg', 'for', 'hst', 'we', 'present', 'here', 'an', 'iterative', 'richardsonlucy', 'type', 'method', 'designed', 'for', 'treatment', 'of', 'images', 'obtained', 'with', 'the', 'hess', 'array', 'of', 'groundbased', 'gammaray', 'telescopes', 'its', 'application', 'to', 'shelltype', 'supernova', 'remnant', 'images', 'yields', 'refined', 'details', 'relevant', 'for', 'the', 'study', 'of', 'correlations', 'with', 'other', 'wavelengths', 'and', 'hence', 'for', 'interpretation', 'in', 'terms', 'either', 'of', 'hadronic', 'or', 'leptonic', 'origin', 'of', 'the', 'observed', 'vhe', 'gammaray', 'emission']] | [-0.012680950213973297, 0.043234983852549126, -0.06131380916822974, 0.12513712407998379, -0.11830679225315135, -0.13890293927894473, -0.00482256058887465, 0.4955063423414419, -0.19817171684216436, -0.34598830630775634, 0.10138762760027198, -0.24935790722644546, -0.05663245111397218, 0.2621870151260959, -0.0007606037749011615, 0.026939444084191785, 0.158026683098841, -0.09189934448747919, -0.048972413897877785, -0.20739484555655863, 0.26364657894435634, 0.13365527925013407, 0.19135756248596875, 0.019339644378505466, 0.0842505592239521, -0.032739408427803984, -0.09042247969702613, -0.025057409719632166, -0.07213104306152318, 0.09895277465977592, 0.29978776031699766, 0.16360958415742327, 0.12731793202550673, -0.3966949169137856, -0.26543914020152354, 0.119074898567505, 0.1742225790248329, 0.028591860006222637, -0.06060606228164965, -0.3538155451121672, 0.017462351569542435, -0.1621436822886874, -0.1757712076398936, 0.014888197297184932, -0.003797762120063076, 0.022193087815328288, -0.22093628062980203, 0.04589507883278335, -0.03965699227055444, 0.09456740761539195, -0.1358930809755537, -0.13267975462964032, 0.05133640938779203, 0.06695742013284982, 0.02989072814475881, 0.016514901915088115, 0.054413549607710505, -0.18893621583673648, -0.13196340881049543, 0.4154188101089037, -0.02696759717697959, -0.04724870285973316, 0.20750908111222088, -0.1660009454935789, -0.2051385507759888, 0.21213718864601105, 0.16271750833952753, 0.09112758288534767, -0.16042465290690705, 0.05863817581245335, -0.0032772052828676816, 0.15801532434799323, 0.04668571532238275, 0.13241687404368394, 0.23506540729289466, 0.16901985547369028, 0.011406689113511408, 0.14803189828654, -0.31569706777496853, 0.057298732592110956, -0.2617748588687036, -0.09762214337725465, -0.20139476190116712, 0.08325826461290622, -0.08077025460061565, -0.17163888048792325, 0.41654315656732493, 0.12213196795683627, 0.1440140783996889, 0.004683520244548052, 0.32617325594694146, 0.021707537067236334, 0.07634880591933502, 0.029734860588910013, 0.3332248246325634, 0.10454317377653063, 0.1412185632123998, -0.18400908863489948, 0.062379247423761136, 0.05708350580776247] |
711.2148 | The Physics of Protoplanetesimal Dust Agglomerates II. Low Velocity
Collision Properties | For the investigation of collisions among protoplanetesimal dust aggregates,
we performed microgravity experiments in which the impacts of high-porosity
mm-sized dust aggregates into 2.5 cm-sized high-porosity dust aggregates can be
studied. The dust aggregates consisted of micrometer-sized dust grains and were
produced by random ballistic deposition with porosities between 85% and 93%.
Impact velocities ranged from ~0.1 m/s to ~3 m/s and impact angles were almost
randomly distributed. We also used "molded" target aggregates such that the
radii of the local surface curvatures corresponded to the projectile radii. The
experiments showed that impacts into the highest-porosity targets almost always
led to sticking, whereas for the less porous dust aggregates, the collisions
with intermediate velocities and high impact angles resulted in the bouncing of
the projectile with a mass transfer from the target to the projectile
aggregate. Sticking probabilities for the impacts into the "molded" target
aggregates were considerably decreased. For the impacts into smooth targets, we
measured the depth of intrusion and the crater volume and could derive some
interesting dynamical properties which can help to derive a collision model for
protoplanetesimal dust aggregates. Future models of the aggregate growth in
protoplanetary disks should take into account non-central impacts, impact
compression, the influence of the local radius of curvature on the collisional
outcome and the possible mass transfer between target and projectile
agglomerates in non-sticking collisions.
| astro-ph | for the investigation of collisions among protoplanetesimal dust aggregates we performed microgravity experiments in which the impacts of highporosity mmsized dust aggregates into 25 cmsized highporosity dust aggregates can be studied the dust aggregates consisted of micrometersized dust grains and were produced by random ballistic deposition with porosities between 85 and 93 impact velocities ranged from 01 ms to 3 ms and impact angles were almost randomly distributed we also used molded target aggregates such that the radii of the local surface curvatures corresponded to the projectile radii the experiments showed that impacts into the highestporosity targets almost always led to sticking whereas for the less porous dust aggregates the collisions with intermediate velocities and high impact angles resulted in the bouncing of the projectile with a mass transfer from the target to the projectile aggregate sticking probabilities for the impacts into the molded target aggregates were considerably decreased for the impacts into smooth targets we measured the depth of intrusion and the crater volume and could derive some interesting dynamical properties which can help to derive a collision model for protoplanetesimal dust aggregates future models of the aggregate growth in protoplanetary disks should take into account noncentral impacts impact compression the influence of the local radius of curvature on the collisional outcome and the possible mass transfer between target and projectile agglomerates in nonsticking collisions | [['for', 'the', 'investigation', 'of', 'collisions', 'among', 'protoplanetesimal', 'dust', 'aggregates', 'we', 'performed', 'microgravity', 'experiments', 'in', 'which', 'the', 'impacts', 'of', 'highporosity', 'mmsized', 'dust', 'aggregates', 'into', '25', 'cmsized', 'highporosity', 'dust', 'aggregates', 'can', 'be', 'studied', 'the', 'dust', 'aggregates', 'consisted', 'of', 'micrometersized', 'dust', 'grains', 'and', 'were', 'produced', 'by', 'random', 'ballistic', 'deposition', 'with', 'porosities', 'between', '85', 'and', '93', 'impact', 'velocities', 'ranged', 'from', '01', 'ms', 'to', '3', 'ms', 'and', 'impact', 'angles', 'were', 'almost', 'randomly', 'distributed', 'we', 'also', 'used', 'molded', 'target', 'aggregates', 'such', 'that', 'the', 'radii', 'of', 'the', 'local', 'surface', 'curvatures', 'corresponded', 'to', 'the', 'projectile', 'radii', 'the', 'experiments', 'showed', 'that', 'impacts', 'into', 'the', 'highestporosity', 'targets', 'almost', 'always', 'led', 'to', 'sticking', 'whereas', 'for', 'the', 'less', 'porous', 'dust', 'aggregates', 'the', 'collisions', 'with', 'intermediate', 'velocities', 'and', 'high', 'impact', 'angles', 'resulted', 'in', 'the', 'bouncing', 'of', 'the', 'projectile', 'with', 'a', 'mass', 'transfer', 'from', 'the', 'target', 'to', 'the', 'projectile', 'aggregate', 'sticking', 'probabilities', 'for', 'the', 'impacts', 'into', 'the', 'molded', 'target', 'aggregates', 'were', 'considerably', 'decreased', 'for', 'the', 'impacts', 'into', 'smooth', 'targets', 'we', 'measured', 'the', 'depth', 'of', 'intrusion', 'and', 'the', 'crater', 'volume', 'and', 'could', 'derive', 'some', 'interesting', 'dynamical', 'properties', 'which', 'can', 'help', 'to', 'derive', 'a', 'collision', 'model', 'for', 'protoplanetesimal', 'dust', 'aggregates', 'future', 'models', 'of', 'the', 'aggregate', 'growth', 'in', 'protoplanetary', 'disks', 'should', 'take', 'into', 'account', 'noncentral', 'impacts', 'impact', 'compression', 'the', 'influence', 'of', 'the', 'local', 'radius', 'of', 'curvature', 'on', 'the', 'collisional', 'outcome', 'and', 'the', 'possible', 'mass', 'transfer', 'between', 'target', 'and', 'projectile', 'agglomerates', 'in', 'nonsticking', 'collisions']] | [-0.03823527192149153, 0.2063542634257049, -0.12489051489111651, 0.03810502440150491, 0.02446675282927962, -0.049412209416394556, 0.009389757670890373, 0.3943880394404654, -0.22841883475900562, -0.3149065847163521, 0.021203349415113086, -0.3001430814484983, -0.018951120106586523, 0.13599682234988514, -0.010797686336445622, 0.06319195425021462, 0.08182541470523574, -0.06091959796737813, -0.007407482595226611, -0.25775612136203563, 0.28677818389249815, 0.106834756738473, 0.196314112503647, 0.11006238705756134, 0.09320175959146582, -0.033704760629916564, -0.03269433409098253, 0.0353550782037928, -0.1820945769267642, 0.09488577464838142, 0.18325683361524625, 0.06377868789422791, 0.21470326310996565, -0.4822246182468786, -0.24127013057087815, 0.07239742086052761, 0.1399464662702355, 0.07305137211369583, -0.045775962528880755, -0.2600771382110127, 0.05547626101257005, -0.1859370061907352, -0.14393049573118333, 0.04495579417977881, 0.10153658342356461, 0.0656054332723995, -0.2739734585359526, 0.08512009707387083, 0.05024062080091036, 0.051809031788642254, -0.13261612449631294, -0.17959633640462666, -0.0927998294272194, 0.12416337386613512, 0.053881367901859836, -0.0581368852020075, 0.282471341109028, -0.09776982250280396, 0.012830516362945283, 0.42507848207813886, -0.0367414760907455, -0.1323894902889151, 0.2315069999915847, -0.20501688501307008, -0.05004150710426204, 0.2281423523984683, 0.270840296530488, 0.09806136100087315, -0.14743068389777494, -0.055692866477849226, -0.008057826578546414, 0.19347653678934357, 0.18432920433510194, 0.01855154650287919, 0.2708410329339261, 0.1730680760015925, -0.016276389306897596, 0.1464028475007321, -0.18444312460217457, -0.09225538868616111, -0.21050128466283372, -0.14984743548640317, -0.12747137510866327, 0.04477331990606866, -0.14077000403267448, -0.08909475648917058, 0.27815726745757274, 0.10783466349987846, 0.26368791077610304, 0.03898552007012768, 0.24462212410019543, -0.007222896730776743, 0.0961774761869622, 0.08468219505656245, 0.2658311133133923, 0.09089138639371543, 0.10587667514378804, -0.21485629862218047, 0.14407692100836098, 0.011119191343563475] |
711.2149 | Adaptive Finite Element Method for Simulation of Optical Nano Structures | We discuss realization, properties and performance of the adaptive finite
element approach to the design of nano-photonic components. Central issues are
the construction of vectorial finite elements and the embedding of bounded
components into the unbounded and possibly heterogeneous exterior. We apply the
finite element method to the optimization of the design of a hollow core
photonic crystal fiber. Thereby we look at the convergence of the method and
discuss automatic and adaptive grid refinement and the performance of higher
order elements.
| physics.optics | we discuss realization properties and performance of the adaptive finite element approach to the design of nanophotonic components central issues are the construction of vectorial finite elements and the embedding of bounded components into the unbounded and possibly heterogeneous exterior we apply the finite element method to the optimization of the design of a hollow core photonic crystal fiber thereby we look at the convergence of the method and discuss automatic and adaptive grid refinement and the performance of higher order elements | [['we', 'discuss', 'realization', 'properties', 'and', 'performance', 'of', 'the', 'adaptive', 'finite', 'element', 'approach', 'to', 'the', 'design', 'of', 'nanophotonic', 'components', 'central', 'issues', 'are', 'the', 'construction', 'of', 'vectorial', 'finite', 'elements', 'and', 'the', 'embedding', 'of', 'bounded', 'components', 'into', 'the', 'unbounded', 'and', 'possibly', 'heterogeneous', 'exterior', 'we', 'apply', 'the', 'finite', 'element', 'method', 'to', 'the', 'optimization', 'of', 'the', 'design', 'of', 'a', 'hollow', 'core', 'photonic', 'crystal', 'fiber', 'thereby', 'we', 'look', 'at', 'the', 'convergence', 'of', 'the', 'method', 'and', 'discuss', 'automatic', 'and', 'adaptive', 'grid', 'refinement', 'and', 'the', 'performance', 'of', 'higher', 'order', 'elements']] | [-0.11245700130352705, 0.07233405848056441, -0.07081958056404823, -0.029948243888367605, -0.0970765284557895, -0.1097551547615539, 0.0330039684961709, 0.4271762513260289, -0.28953483022703996, -0.23960591142815424, 0.1426741292348086, -0.23897009157780102, -0.12253230494424337, 0.16387795065543842, -0.05688011582668235, 0.07967820103711835, 0.04981776939068989, -0.01182776596965041, -0.10907798460911869, -0.22340809573169526, 0.336118093782627, 0.015572588277480951, 0.30262104221960395, 0.047972680251227647, 0.15866262305573356, -0.0043951430813716046, -0.05810543162203053, 0.020743399983408246, -0.11198341639757883, 0.22313992483768522, 0.26316728735365336, 0.09842819766788857, 0.2971060531804474, -0.41712709133535986, -0.18748793172580475, 0.07539577482313645, 0.1235070313701815, 0.08082055838824045, -0.07476735653401148, -0.23295426400514638, 0.15562585199524354, -0.17477203433106586, -0.19427838801156458, -0.05109944396720427, -0.05821961664208552, 0.06086386369950161, -0.26355256944349625, -0.05069717037968519, 0.11046803374661178, 0.04634475829534051, -0.06799900937802726, -0.11328925773616391, 0.012905081743999134, 0.1293539036655935, -0.06393288509783948, -0.06776774919410122, 0.11821921185658472, -0.09113546125817953, -0.10526957921683788, 0.4039499472781289, -0.03244806570142916, -0.20409142977853373, 0.16743666441293387, -0.10706113465130329, -0.07765246133274603, 0.11325429754172701, 0.23549355204123434, 0.11182068020854963, -0.05715598216530208, 0.09601623788277232, 0.040158150206524426, 0.14896499675630434, 0.053499749850300024, 0.06537700101460625, 0.1480285070365204, 0.21645162834944884, 0.09863742487913242, 0.1673541762525352, -0.08287483925658573, -0.08764993267633565, -0.334045416062198, -0.2032536331073682, -0.13321482500901854, -0.042149682745064906, -0.1676506222635309, -0.209806278711412, 0.4059734542331681, 0.1277352669418267, 0.1403300219624326, 0.022569827910047024, 0.3287625982448822, 0.09000988561864488, 0.0822233319305247, 0.04058761363167588, 0.16636116782248747, 0.18268125604202107, 0.0722528120911703, -0.2881318111108934, 0.004408407270647131, 0.12845281515573578] |
711.215 | Keys and alternating sign matrices | Lascoux and Sch\"utzenberger introduced a notion of key associated to any
Young tableau. More recently Lascoux defined the key of an alternating sign
matrix by recursively removing all -1's in such matrices. But alternating sign
matrices are in bijection with monotone triangles, which form a subclass of
Young tableaux. We show that in this case these two notions of keys coincide.
Moreover we obtain an elegant and direct way to compute the key of any Young
tableau, and discuss consequences of our result.
| math.CO | lascoux and schutzenberger introduced a notion of key associated to any young tableau more recently lascoux defined the key of an alternating sign matrix by recursively removing all 1s in such matrices but alternating sign matrices are in bijection with monotone triangles which form a subclass of young tableaux we show that in this case these two notions of keys coincide moreover we obtain an elegant and direct way to compute the key of any young tableau and discuss consequences of our result | [['lascoux', 'and', 'schutzenberger', 'introduced', 'a', 'notion', 'of', 'key', 'associated', 'to', 'any', 'young', 'tableau', 'more', 'recently', 'lascoux', 'defined', 'the', 'key', 'of', 'an', 'alternating', 'sign', 'matrix', 'by', 'recursively', 'removing', 'all', '1s', 'in', 'such', 'matrices', 'but', 'alternating', 'sign', 'matrices', 'are', 'in', 'bijection', 'with', 'monotone', 'triangles', 'which', 'form', 'a', 'subclass', 'of', 'young', 'tableaux', 'we', 'show', 'that', 'in', 'this', 'case', 'these', 'two', 'notions', 'of', 'keys', 'coincide', 'moreover', 'we', 'obtain', 'an', 'elegant', 'and', 'direct', 'way', 'to', 'compute', 'the', 'key', 'of', 'any', 'young', 'tableau', 'and', 'discuss', 'consequences', 'of', 'our', 'result']] | [-0.11084694130463997, 0.147393778160408, -0.025469635130770236, 0.07508934917999993, -0.10220066941601325, -0.12540903263332615, 0.06216574633067631, 0.3790594732994775, -0.33033594177160636, -0.28750767409577066, 0.06815542123723685, -0.2139522328591311, -0.18009468234222697, 0.15421834029257298, -0.1407463853471879, -0.0014296267069427364, 0.03328676320085055, -0.015588933888104665, -0.11465833846378667, -0.2418836294967928, 0.3641206388507622, -0.015238184751157301, 0.16858892408704543, 0.012820015021835465, 0.07597371127389102, 0.023729705958660828, -0.09499948852729187, -0.02152601916746921, -0.09998163996386715, 0.13731482738617762, 0.2606244851576995, 0.16313521045046936, 0.22830194690410632, -0.39540418659348087, -0.04168507992009442, 0.17263583146058112, 0.18515718023079525, 0.05131757883663592, -0.11297050551935632, -0.27362055196539015, 0.10298649609896791, -0.21440587607941713, -0.16751486507906432, -0.05528358599249588, 0.05841229972710092, 0.03688738529054246, -0.2701687819088798, -0.015688324714618094, 0.16644661736685828, 0.07263644420014448, -0.00033364739095096486, -0.1940841421720583, 0.032979660919946, 0.10906764237120388, 0.0051822898213762835, 0.015448004018560231, 0.026316792878086668, -0.09890784264306526, -0.19928952355880336, 0.3106794205511056, 0.0066477275532053175, -0.2173915901389646, 0.1560429791549602, -0.14232927775683712, -0.1932704976804734, 0.07842121179024857, 0.02325209838349417, 0.15487959419926964, -0.12144523094014086, 0.05778594623412376, -0.18150959749627543, 0.10596855624343257, 0.17333715547616763, 0.02754501919318215, 0.16993198920804334, 0.017392631973622435, 0.09813551341621093, 0.21566853073077746, 0.024649336411623306, -0.08424638023218477, -0.25399550127920256, -0.22267423786716647, -0.15320674096464168, 0.035056924422170566, -0.14413797341799783, -0.23975654844060001, 0.37281265828747256, 0.11604040368538664, 0.21060083160199314, 0.11062458414634892, 0.2108632552701172, 0.10687879278431142, 0.10395771420998387, 0.04062999749040029, 0.09570241312170963, 0.24734513163398278, 0.005469781139035182, -0.15289896576250173, 0.10852062376777091, 0.19758814430784388] |
711.2151 | Hadron interactions from lattice QCD | Studies on hadron interactions from lattice QCD are reviewed. The $S$-wave
$\pi\pi$ scattering lengths of the I=0 and I=2 channels are extracted from
various lattice determinations of low energy constants in $N_f=2$ chiral
perturbation theory. The results agree with each other and agree also with
other non-lattice estimates. Recently the $P$-wave $\pi\pi$ scattering phase
shift for the I=1 channel has been calculated. A preliminary estimate of the
$\rho$ meson decay width from the phase shift is consistent with the
experimental value. Two approaches to potentials between hadrons are discussed.
One is a method using static quarks to define the distance between two hadrons.
The other is a method to define a potential from a wave function of two
hadrons. An application of the latter to the nucleon-nucleon ($NN$) potential
turns out to reproduce qualitative features of the phenomenological $NN$
potential such as attraction at long distance and repulsion at short distance.
Theoretical issues of this approach are also discussed.
| hep-lat nucl-th | studies on hadron interactions from lattice qcd are reviewed the swave pipi scattering lengths of the i0 and i2 channels are extracted from various lattice determinations of low energy constants in n_f2 chiral perturbation theory the results agree with each other and agree also with other nonlattice estimates recently the pwave pipi scattering phase shift for the i1 channel has been calculated a preliminary estimate of the rho meson decay width from the phase shift is consistent with the experimental value two approaches to potentials between hadrons are discussed one is a method using static quarks to define the distance between two hadrons the other is a method to define a potential from a wave function of two hadrons an application of the latter to the nucleonnucleon nn potential turns out to reproduce qualitative features of the phenomenological nn potential such as attraction at long distance and repulsion at short distance theoretical issues of this approach are also discussed | [['studies', 'on', 'hadron', 'interactions', 'from', 'lattice', 'qcd', 'are', 'reviewed', 'the', 'swave', 'pipi', 'scattering', 'lengths', 'of', 'the', 'i0', 'and', 'i2', 'channels', 'are', 'extracted', 'from', 'various', 'lattice', 'determinations', 'of', 'low', 'energy', 'constants', 'in', 'n_f2', 'chiral', 'perturbation', 'theory', 'the', 'results', 'agree', 'with', 'each', 'other', 'and', 'agree', 'also', 'with', 'other', 'nonlattice', 'estimates', 'recently', 'the', 'pwave', 'pipi', 'scattering', 'phase', 'shift', 'for', 'the', 'i1', 'channel', 'has', 'been', 'calculated', 'a', 'preliminary', 'estimate', 'of', 'the', 'rho', 'meson', 'decay', 'width', 'from', 'the', 'phase', 'shift', 'is', 'consistent', 'with', 'the', 'experimental', 'value', 'two', 'approaches', 'to', 'potentials', 'between', 'hadrons', 'are', 'discussed', 'one', 'is', 'a', 'method', 'using', 'static', 'quarks', 'to', 'define', 'the', 'distance', 'between', 'two', 'hadrons', 'the', 'other', 'is', 'a', 'method', 'to', 'define', 'a', 'potential', 'from', 'a', 'wave', 'function', 'of', 'two', 'hadrons', 'an', 'application', 'of', 'the', 'latter', 'to', 'the', 'nucleonnucleon', 'nn', 'potential', 'turns', 'out', 'to', 'reproduce', 'qualitative', 'features', 'of', 'the', 'phenomenological', 'nn', 'potential', 'such', 'as', 'attraction', 'at', 'long', 'distance', 'and', 'repulsion', 'at', 'short', 'distance', 'theoretical', 'issues', 'of', 'this', 'approach', 'are', 'also', 'discussed']] | [-0.10895203367906546, 0.19099227960286266, -0.13685680141726672, 0.10199326562911928, -0.023923545770505268, -0.15606481506073344, 0.029087797207787116, 0.3922273152736279, -0.23322822143024993, -0.19765705521564064, 0.0033944429655459784, -0.39436924148280667, -0.056520974662079136, 0.1365694544166795, 0.08560056837404487, 0.09166436858618714, 0.06911963920852861, 0.0789106112535832, -0.10259810243235351, -0.17960888598371977, 0.3281639393729468, -0.008895845023575443, 0.22214831031402046, 0.17320004461696312, -0.017201660388389474, 0.020673506024861767, -0.02142869598238067, -0.032129446841167204, -0.15044647166154013, 0.07764254504545305, 0.22011761750246883, 0.010636901088482144, 0.15102575678062044, -0.36465294611839427, -0.19779547595026545, 0.07417956257602142, 0.13599650783071868, 0.1525237582881683, -0.010080785874962667, -0.3142778705717679, 0.08928980383693984, -0.18394512690328438, -0.15616543520733994, -0.07622870572684508, 0.03811654467472467, 0.04320915518387121, -0.2937933048760554, 0.07791472670846214, -0.06047580332887716, 0.05010653995328917, -0.07668230071980155, -0.24161611600491986, -0.0035082304523672042, 0.10357478301702712, 0.12627119976740167, 0.11922306833941045, 0.10993354354030306, -0.11903001298196614, -0.12833433292524996, 0.4007607016524991, -0.04793039860889175, -0.1729911806108723, 0.17055543128777378, -0.10388182322406825, -0.09885761751676178, 0.1299657139988651, 0.14092645173564367, 0.04956600250406835, -0.17795456245939875, 0.07323398813660222, -0.013149337298233126, 0.16606050747689796, 0.08202194431855243, 0.07842757316809967, 0.1869356671726015, 0.16830691241998952, -0.011940209405883303, 0.08266269700980962, -0.0948744174927684, -0.1366856470176915, -0.3536044880279205, -0.047929398413841265, -0.18561663081208332, 0.005132418009727086, -0.0957989138724032, -0.11709048354166483, 0.3390416793888376, 0.11694973390900863, 0.281891042993363, 0.026487414238962736, 0.3063362798501251, 0.09171651737140667, 0.0729079153535173, 0.01168422435802765, 0.28149594186729043, 0.19705133078731127, 0.09731557201184098, -0.2648142714832423, -0.00031693768101808783, 0.07575491073090325] |
711.2152 | $KK$-theory spectra for $C^\ast$-categories and discrete groupoid
$C^\ast$-algebras | In this paper we refine a version of bivariant $K$-theory developed by Cuntz
to define symmetric spectra representing the $KK$-theory of $C^\ast$-categories
and discrete groupoid $C^\ast$-algebras. In both cases, the Kasparov product
can be expressed as a smash product of spectra.
| math.KT math.OA | in this paper we refine a version of bivariant ktheory developed by cuntz to define symmetric spectra representing the kktheory of castcategories and discrete groupoid castalgebras in both cases the kasparov product can be expressed as a smash product of spectra | [['in', 'this', 'paper', 'we', 'refine', 'a', 'version', 'of', 'bivariant', 'ktheory', 'developed', 'by', 'cuntz', 'to', 'define', 'symmetric', 'spectra', 'representing', 'the', 'kktheory', 'of', 'castcategories', 'and', 'discrete', 'groupoid', 'castalgebras', 'in', 'both', 'cases', 'the', 'kasparov', 'product', 'can', 'be', 'expressed', 'as', 'a', 'smash', 'product', 'of', 'spectra']] | [-0.09803066065069288, 0.04177020052447915, -0.12784839153755456, 0.08266115578298923, -0.05949208613019437, -0.06794310596305878, -0.04366131794813555, 0.3924326475709677, -0.37636021404759956, -0.21525918773841113, 0.12343302784138359, -0.18537171406351263, -0.1304661978967488, 0.15877569732256233, -0.2620344589464366, -0.07151633966714144, 0.10278243678621948, 0.0625609140843153, -0.1341737629380077, -0.17748149894177914, 0.44312396151944994, 0.0383167956257239, 0.1638332657981664, 0.020297911227680744, 0.011072327697183937, 0.027311216597445308, -0.053368864735239184, -0.008521771736241135, -0.12143939607776702, 0.15186294296290725, 0.3827756080310792, 0.08782462463714183, 0.16740909510990604, -0.3639559779316187, -0.109378495241981, 0.17193462029099466, 0.12803554915590212, -0.041878574062138796, 0.010464246245101094, -0.3721364144235849, 0.05568427502876148, -0.3795192998368293, -0.06942421511048451, -0.17262738374993206, 0.04270582196768373, -0.017572635877877475, -0.24813464733306317, -0.012585843983106314, 0.06431564217782579, 0.10764253998640924, -0.1299612586852163, -0.015080427471548318, -0.10467697277199477, 0.1386391730600735, -0.020825414313003422, -0.025101166195236148, 0.13356933231698348, -0.028191253630211577, -0.20938957711914555, 0.40756130795925855, -0.14178481560666115, -0.19692523665726186, 0.07950105962809176, -0.13632926797727124, -0.20063294377177954, 0.06638818052597344, 0.02674641227349639, 0.20231754940468819, -0.03985768051352352, 0.1780733728999621, -0.1375825798837468, 0.057211659991298805, 0.072549367393367, 0.03431137050502002, 0.1071105474140495, 0.03894622721418273, 0.028935088086291215, 0.2262574460095493, 0.07137837164045777, -0.024452390754595398, -0.30373702887445686, -0.2532870673574507, -0.10595419431920164, 0.14507538117468358, -0.0671598689044913, -0.18424460315145552, 0.4641860846430063, 0.05431714238366112, 0.17521392658818513, 0.1277027269359678, 0.24297790574491956, 0.11872019418224226, 0.024265800905413925, 0.017374117369763555, 0.0976459578727372, 0.3115016235096846, 0.047973450063727795, -0.08317407830618322, -0.05922392646316439, 0.28829677996691316] |
711.2153 | Gas rich galaxies from the FIGGS survey | The FIGGS (Faint Irregular Galaxy GMRT Survey) is aimed at creating a
multi-wavelength observational data base for a volume limited sample of the
faintest gas rich galaxies. In this paper we discuss two very gas rich galaxies
that were observed as part of the FIGGS survey, viz. NGC 3741 and And IV. These
galaxies are unusual in that they have extremely extended gas disks and very
high ratios of dark to luminous matter. The very extended HI disks provide an
unique opportunity to trace the extended distribution of dark matter around
faint galaxies. We compare the baryon fraction of these galaxies with a sample
of galaxies with well measured rotation curves and discuss whether extremely
gas rich dwarf galaxies have abnormally small baryon fractions.
| astro-ph | the figgs faint irregular galaxy gmrt survey is aimed at creating a multiwavelength observational data base for a volume limited sample of the faintest gas rich galaxies in this paper we discuss two very gas rich galaxies that were observed as part of the figgs survey viz ngc 3741 and and iv these galaxies are unusual in that they have extremely extended gas disks and very high ratios of dark to luminous matter the very extended hi disks provide an unique opportunity to trace the extended distribution of dark matter around faint galaxies we compare the baryon fraction of these galaxies with a sample of galaxies with well measured rotation curves and discuss whether extremely gas rich dwarf galaxies have abnormally small baryon fractions | [['the', 'figgs', 'faint', 'irregular', 'galaxy', 'gmrt', 'survey', 'is', 'aimed', 'at', 'creating', 'a', 'multiwavelength', 'observational', 'data', 'base', 'for', 'a', 'volume', 'limited', 'sample', 'of', 'the', 'faintest', 'gas', 'rich', 'galaxies', 'in', 'this', 'paper', 'we', 'discuss', 'two', 'very', 'gas', 'rich', 'galaxies', 'that', 'were', 'observed', 'as', 'part', 'of', 'the', 'figgs', 'survey', 'viz', 'ngc', '3741', 'and', 'and', 'iv', 'these', 'galaxies', 'are', 'unusual', 'in', 'that', 'they', 'have', 'extremely', 'extended', 'gas', 'disks', 'and', 'very', 'high', 'ratios', 'of', 'dark', 'to', 'luminous', 'matter', 'the', 'very', 'extended', 'hi', 'disks', 'provide', 'an', 'unique', 'opportunity', 'to', 'trace', 'the', 'extended', 'distribution', 'of', 'dark', 'matter', 'around', 'faint', 'galaxies', 'we', 'compare', 'the', 'baryon', 'fraction', 'of', 'these', 'galaxies', 'with', 'a', 'sample', 'of', 'galaxies', 'with', 'well', 'measured', 'rotation', 'curves', 'and', 'discuss', 'whether', 'extremely', 'gas', 'rich', 'dwarf', 'galaxies', 'have', 'abnormally', 'small', 'baryon', 'fractions']] | [-0.06693441189652789, 0.0662549708552345, -0.11387087922588351, 0.16587560257363704, -0.14087086866399454, -0.059336019950287956, 0.033062376146723006, 0.4293555725486048, -0.06841568932718327, -0.3549703024327755, 0.05221689626670277, -0.3082729258814887, -0.010700069608226899, 0.1699182480794456, -0.013667197646422973, -0.03938314286361058, 0.0216232075265819, -0.160827484674472, -0.012442210370922581, -0.3368828064056053, 0.30249247371384336, 0.06651922515893896, 0.14293118829758192, -0.09631996330684953, 0.08968423015622032, -0.17418494649351604, -0.12897748183158617, -0.01748749371918459, -0.17217268263829605, 0.012943102535040628, 0.3255817106006772, 0.11008148535995954, 0.1998067126992429, -0.3586552925552232, -0.14824595318866834, 0.1322279671890541, 0.25178960633967373, 0.0490042683705988, -0.151233515792316, -0.30747783327505235, 0.082609768701537, -0.1985882063013231, -0.223576748458248, 0.00881489744830516, 0.04391461397491155, 0.07130308749319444, -0.13453936069122246, 0.16397041667463078, -0.006145265793630613, 0.11585503700564825, -0.08517166636621339, -0.11000790036914329, -0.033508465244179414, 0.031453422360843225, -0.005733475481505475, 0.046632744311805696, 0.2071031660006772, -0.21151729792379023, 0.07921928054683151, 0.43838399606606654, -0.08187579122492142, 0.07704149643259664, 0.2877809845752293, -0.2491822385890109, -0.23678717033697233, 0.1285686589150329, 0.18523285873262438, 0.05730926432466555, -0.1703810320769046, 0.01805252963939922, -0.07095482779456483, 0.19641563719544078, 0.0028042035785713986, 0.1122511118077044, 0.3896989791744178, 0.09390167849825605, 0.04949973951255332, 0.10840083226409455, -0.23652687597824562, 0.02030137217708773, -0.2151166878728902, -0.10119584057153383, -0.1370723620958386, 0.08440227452440248, -0.11031895448902487, -0.11935536259590017, 0.3186558709975572, 0.0396846441078871, 0.288898927899408, 0.06731566851170012, 0.324885428687858, 0.019400778536369363, 0.1113495068143933, 0.09737546757359299, 0.26072276837282604, 0.1966108673969434, 0.09472109556419685, -0.24295088104648335, 0.03242607619857506, -0.0799824996596022] |
711.2154 | Hot Cores in the submm - obscured by dust? | We present APEX observations of HCN (9-8) and (4-3) lines toward a sample of
hot cores. The spectral shapes of the main transitions are asymmetric and
self-absorbed, as expected for high optical depth in a possibly infalling
envelope. For spherical symmetry, the large column densities of these sources
would mean that the central region is obscured by dust above a certain
frequency. However, we detected the vibrationally excited satellite lines
(v_2=1; J=9-8) at 797 GHz, which originate from the inner regions. This
indicates that high-frequency ALMA observations of hot core centers will be
feasible.
| astro-ph | we present apex observations of hcn 98 and 43 lines toward a sample of hot cores the spectral shapes of the main transitions are asymmetric and selfabsorbed as expected for high optical depth in a possibly infalling envelope for spherical symmetry the large column densities of these sources would mean that the central region is obscured by dust above a certain frequency however we detected the vibrationally excited satellite lines v_21 j98 at 797 ghz which originate from the inner regions this indicates that highfrequency alma observations of hot core centers will be feasible | [['we', 'present', 'apex', 'observations', 'of', 'hcn', '98', 'and', '43', 'lines', 'toward', 'a', 'sample', 'of', 'hot', 'cores', 'the', 'spectral', 'shapes', 'of', 'the', 'main', 'transitions', 'are', 'asymmetric', 'and', 'selfabsorbed', 'as', 'expected', 'for', 'high', 'optical', 'depth', 'in', 'a', 'possibly', 'infalling', 'envelope', 'for', 'spherical', 'symmetry', 'the', 'large', 'column', 'densities', 'of', 'these', 'sources', 'would', 'mean', 'that', 'the', 'central', 'region', 'is', 'obscured', 'by', 'dust', 'above', 'a', 'certain', 'frequency', 'however', 'we', 'detected', 'the', 'vibrationally', 'excited', 'satellite', 'lines', 'v_21', 'j98', 'at', '797', 'ghz', 'which', 'originate', 'from', 'the', 'inner', 'regions', 'this', 'indicates', 'that', 'highfrequency', 'alma', 'observations', 'of', 'hot', 'core', 'centers', 'will', 'be', 'feasible']] | [-0.08997344701957116, 0.1460335450593699, -0.002959510653299537, 0.04291981525045443, -0.024388626336734345, -0.07041636756324071, 0.08071625615380942, 0.4652004825109814, -0.15648114883856096, -0.2893242067162027, 0.1212576638022933, -0.26567503762371997, 0.004458264477471722, 0.12102706091815328, -0.0013879252089301442, -0.054888730128097564, 0.030804926291742224, -0.125707300833149, -0.023237039498548877, -0.10915168345053779, 0.27943807921590325, 0.09977892412744621, 0.19007202624739644, 0.026665510776938198, 0.02905399844476438, -0.16785504765055598, -0.03368444017511099, -0.019829982574632827, -0.08363746674907854, 0.1117187871478815, 0.3093226875743254, 0.10817787058136248, 0.1929477382292773, -0.3767432531120071, -0.22193750070669302, 0.06529094407116955, 0.17620870936909652, 0.07252801417130382, -0.009970028572616743, -0.3031183742383059, 0.04701806047554821, -0.14256556610517362, -0.22325283050675818, 0.062381065965808453, 0.06959356323498836, 0.03005439099890398, -0.21713049220852554, 0.13702315669704943, 0.036815772269000395, 0.06915770690055921, -0.10141857036270518, -0.15156628481766327, -0.08618196143095005, 0.061573206200611165, -0.06461547190779225, 0.039015045612456, 0.2351666042256724, -0.12020111902854702, -0.02455596486106515, 0.3572550893617556, -0.09208716224244934, 0.03580729104578495, 0.23468472713485677, -0.2361184540452396, -0.21795025235041976, 0.27370785056870983, 0.14445911853158094, 0.12556671848560266, -0.07337602644420645, -0.047175477314591804, -0.07232529057705021, 0.21481140067880142, 0.09168624307246918, 0.0738623793397679, 0.3648825208557413, 0.03406847907388781, 0.06596401123765935, 0.17475011713674016, -0.284660551340339, -0.047816601649986856, -0.271185218728088, -0.09014835148465206, -0.17388197203028075, 0.07547393157345025, -0.10037280846494893, -0.07068088894865991, 0.31065421372756086, 0.06609201576422027, 0.24851924632775022, 0.0053025136994039445, 0.33072477490938407, 0.09826944356269025, 0.1033806697604187, 0.14636155326375144, 0.29685373797497533, 0.15330697959932954, 0.0966988255126164, -0.21269145290530783, 0.020079475146361648, -0.03674608460092481] |
711.2155 | Guarded Hybrid Knowledge Bases | Recently, there has been a lot of interest in the integration of Description
Logics and rules on the Semantic Web.We define guarded hybrid knowledge bases
(or g-hybrid knowledge bases) as knowledge bases that consist of a Description
Logic knowledge base and a guarded logic program, similar to the DL+log
knowledge bases from (Rosati 2006). G-hybrid knowledge bases enable an
integration of Description Logics and Logic Programming where, unlike in other
approaches, variables in the rules of a guarded program do not need to appear
in positive non-DL atoms of the body, i.e. DL atoms can act as guards as well.
Decidability of satisfiability checking of g-hybrid knowledge bases is shown
for the particular DL DLRO, which is close to OWL DL, by a reduction to guarded
programs under the open answer set semantics. Moreover, we show
2-EXPTIME-completeness for satisfiability checking of such g-hybrid knowledge
bases. Finally, we discuss advantages and disadvantages of our approach
compared with DL+log knowledge bases.
| cs.LO | recently there has been a lot of interest in the integration of description logics and rules on the semantic webwe define guarded hybrid knowledge bases or ghybrid knowledge bases as knowledge bases that consist of a description logic knowledge base and a guarded logic program similar to the dllog knowledge bases from rosati 2006 ghybrid knowledge bases enable an integration of description logics and logic programming where unlike in other approaches variables in the rules of a guarded program do not need to appear in positive nondl atoms of the body ie dl atoms can act as guards as well decidability of satisfiability checking of ghybrid knowledge bases is shown for the particular dl dlro which is close to owl dl by a reduction to guarded programs under the open answer set semantics moreover we show 2exptimecompleteness for satisfiability checking of such ghybrid knowledge bases finally we discuss advantages and disadvantages of our approach compared with dllog knowledge bases | [['recently', 'there', 'has', 'been', 'a', 'lot', 'of', 'interest', 'in', 'the', 'integration', 'of', 'description', 'logics', 'and', 'rules', 'on', 'the', 'semantic', 'webwe', 'define', 'guarded', 'hybrid', 'knowledge', 'bases', 'or', 'ghybrid', 'knowledge', 'bases', 'as', 'knowledge', 'bases', 'that', 'consist', 'of', 'a', 'description', 'logic', 'knowledge', 'base', 'and', 'a', 'guarded', 'logic', 'program', 'similar', 'to', 'the', 'dllog', 'knowledge', 'bases', 'from', 'rosati', '2006', 'ghybrid', 'knowledge', 'bases', 'enable', 'an', 'integration', 'of', 'description', 'logics', 'and', 'logic', 'programming', 'where', 'unlike', 'in', 'other', 'approaches', 'variables', 'in', 'the', 'rules', 'of', 'a', 'guarded', 'program', 'do', 'not', 'need', 'to', 'appear', 'in', 'positive', 'nondl', 'atoms', 'of', 'the', 'body', 'ie', 'dl', 'atoms', 'can', 'act', 'as', 'guards', 'as', 'well', 'decidability', 'of', 'satisfiability', 'checking', 'of', 'ghybrid', 'knowledge', 'bases', 'is', 'shown', 'for', 'the', 'particular', 'dl', 'dlro', 'which', 'is', 'close', 'to', 'owl', 'dl', 'by', 'a', 'reduction', 'to', 'guarded', 'programs', 'under', 'the', 'open', 'answer', 'set', 'semantics', 'moreover', 'we', 'show', '2exptimecompleteness', 'for', 'satisfiability', 'checking', 'of', 'such', 'ghybrid', 'knowledge', 'bases', 'finally', 'we', 'discuss', 'advantages', 'and', 'disadvantages', 'of', 'our', 'approach', 'compared', 'with', 'dllog', 'knowledge', 'bases']] | [-0.07670009327695787, -0.023951094209189273, -0.038935451084582864, 0.07862314819509335, -0.1802554022538464, -0.1276466641191959, 0.11489839172521252, 0.36992320625842373, -0.28444395010445056, -0.3003557613355261, 0.08878431655024473, -0.2445433853176434, -0.09287455571444021, 0.1506159641401241, -0.11665700320404943, 0.06741577865779871, 0.05353589927706914, 0.08651112314148605, -0.06136994894529115, -0.2162552330159594, 0.3012649963220841, -0.03847636537673541, 0.24774142546296307, 0.01648865049060941, 0.08445397406061993, 0.037584690527424594, -0.019414593512781814, 0.028451413950658862, -0.09121175465356195, 0.14746676320563765, 0.41383121476237533, 0.3150713292165671, 0.2866194869002587, -0.45182649123989327, -0.14266761163650435, 0.07331131402214494, 0.13392906287195797, 0.11231106402768011, 0.017973023334877637, -0.2676705651079552, 0.03279519666286916, -0.20641801779912167, -0.03839699638406215, -0.16810271382343636, 0.03653171040777919, 0.03367243756693375, -0.2719268589192129, -0.0888028073012593, 0.2133642767144874, 0.12499825452466178, -0.06475615867596309, -0.15976279481944827, 0.015519803500427759, 0.08161643343016835, -0.033913958391622145, 0.020761168110213845, 0.09555556351625466, -0.08916462033315078, -0.26695179540952785, 0.3345485264789077, -0.013314303478573838, -0.20607781345820456, 0.1742655184949583, -0.07645484078911287, -0.18037628598475852, 0.09157116540348087, 0.09272843654137812, 0.12415835370539534, -0.14747201800464263, 0.15178487772015925, -0.047924252427359926, 0.24387564846311544, 0.1636660077043255, 0.08077509044905347, 0.19617734132688255, 0.1966466104620596, 0.015802210861451546, 0.09875131963753683, 0.061341904794879824, -0.12606931419135367, -0.2800940288101099, -0.16640673967997863, -0.12709601820576227, -0.03351606428319267, -0.03907995629146448, -0.1717627443720607, 0.3139080508859663, 0.16425111759866623, 0.10205670449730964, 0.12068636846931981, 0.2939720269619735, 0.033299631173254574, 0.1481278269018247, 0.06016966570728706, 0.15415798686150037, 0.1383387012056464, 0.10869255681637133, -0.1380898267298913, 0.11512382605954521, 0.07573966046388532] |
711.2156 | Simple Stellar Population Models as probed by the Large Magellanic Cloud
Star Cluster ESO 121-SC03 | The presence of blue straggler stars (BSs) in star clusters has proven a
challenge to conventional simple stellar population (SSP) models. Conventional
SSP models are based on the evolution theory of single stars. Meanwhile, the
typical locations of BSs in the colour-magnitude diagram of a cluster are
brighter and bluer than the main sequence turn-off point. Such loci cannot be
predicted by single-star evolution theory. However, stars with such properties
contribute significantly to the integrated light of the cluster. In this paper,
we reconstruct the integrated properties of the Large Magellanic Cloud cluster
ESO 121-SC03, based on a detailed exploration of the individual cluster stars,
and with particular emphasis on the cluster's BSs. We find that the integrated
light properties of ESO 121-SC03 are dramatically modified by its BS component.
The integrated spectral energy distribution (ISED) flux level is significantly
enhanced toward shorter wavelengths, and all broad-band colours become bluer.
When fitting the fully integrated ISED of this cluster based on conventional
SSP models, the best-fitting values of age and metallicity are significantly
underestimated compared to the true cluster parameters. The age underestimate
is $\sim40$ per cent if we only include the BSs within the cluster's half-light
radius and $\sim60$ per cent if all BSs are included. The corresponding
underestimates of the cluster's metallicity are $\sim30$ and $\sim60$ per cent,
respectively. The populous star clusters in the Magellanic Clouds are ideal
objects to explore the potential importance of BSs for the integrated light
properties of more distant unresolved star clusters in a statistically robust
manner, since they cover a large range in age and metallicity.
| astro-ph | the presence of blue straggler stars bss in star clusters has proven a challenge to conventional simple stellar population ssp models conventional ssp models are based on the evolution theory of single stars meanwhile the typical locations of bss in the colourmagnitude diagram of a cluster are brighter and bluer than the main sequence turnoff point such loci cannot be predicted by singlestar evolution theory however stars with such properties contribute significantly to the integrated light of the cluster in this paper we reconstruct the integrated properties of the large magellanic cloud cluster eso 121sc03 based on a detailed exploration of the individual cluster stars and with particular emphasis on the clusters bss we find that the integrated light properties of eso 121sc03 are dramatically modified by its bs component the integrated spectral energy distribution ised flux level is significantly enhanced toward shorter wavelengths and all broadband colours become bluer when fitting the fully integrated ised of this cluster based on conventional ssp models the bestfitting values of age and metallicity are significantly underestimated compared to the true cluster parameters the age underestimate is sim40 per cent if we only include the bss within the clusters halflight radius and sim60 per cent if all bss are included the corresponding underestimates of the clusters metallicity are sim30 and sim60 per cent respectively the populous star clusters in the magellanic clouds are ideal objects to explore the potential importance of bss for the integrated light properties of more distant unresolved star clusters in a statistically robust manner since they cover a large range in age and metallicity | [['the', 'presence', 'of', 'blue', 'straggler', 'stars', 'bss', 'in', 'star', 'clusters', 'has', 'proven', 'a', 'challenge', 'to', 'conventional', 'simple', 'stellar', 'population', 'ssp', 'models', 'conventional', 'ssp', 'models', 'are', 'based', 'on', 'the', 'evolution', 'theory', 'of', 'single', 'stars', 'meanwhile', 'the', 'typical', 'locations', 'of', 'bss', 'in', 'the', 'colourmagnitude', 'diagram', 'of', 'a', 'cluster', 'are', 'brighter', 'and', 'bluer', 'than', 'the', 'main', 'sequence', 'turnoff', 'point', 'such', 'loci', 'can', 'not', 'be', 'predicted', 'by', 'singlestar', 'evolution', 'theory', 'however', 'stars', 'with', 'such', 'properties', 'contribute', 'significantly', 'to', 'the', 'integrated', 'light', 'of', 'the', 'cluster', 'in', 'this', 'paper', 'we', 'reconstruct', 'the', 'integrated', 'properties', 'of', 'the', 'large', 'magellanic', 'cloud', 'cluster', 'eso', '121sc03', 'based', 'on', 'a', 'detailed', 'exploration', 'of', 'the', 'individual', 'cluster', 'stars', 'and', 'with', 'particular', 'emphasis', 'on', 'the', 'clusters', 'bss', 'we', 'find', 'that', 'the', 'integrated', 'light', 'properties', 'of', 'eso', '121sc03', 'are', 'dramatically', 'modified', 'by', 'its', 'bs', 'component', 'the', 'integrated', 'spectral', 'energy', 'distribution', 'ised', 'flux', 'level', 'is', 'significantly', 'enhanced', 'toward', 'shorter', 'wavelengths', 'and', 'all', 'broadband', 'colours', 'become', 'bluer', 'when', 'fitting', 'the', 'fully', 'integrated', 'ised', 'of', 'this', 'cluster', 'based', 'on', 'conventional', 'ssp', 'models', 'the', 'bestfitting', 'values', 'of', 'age', 'and', 'metallicity', 'are', 'significantly', 'underestimated', 'compared', 'to', 'the', 'true', 'cluster', 'parameters', 'the', 'age', 'underestimate', 'is', 'sim40', 'per', 'cent', 'if', 'we', 'only', 'include', 'the', 'bss', 'within', 'the', 'clusters', 'halflight', 'radius', 'and', 'sim60', 'per', 'cent', 'if', 'all', 'bss', 'are', 'included', 'the', 'corresponding', 'underestimates', 'of', 'the', 'clusters', 'metallicity', 'are', 'sim30', 'and', 'sim60', 'per', 'cent', 'respectively', 'the', 'populous', 'star', 'clusters', 'in', 'the', 'magellanic', 'clouds', 'are', 'ideal', 'objects', 'to', 'explore', 'the', 'potential', 'importance', 'of', 'bss', 'for', 'the', 'integrated', 'light', 'properties', 'of', 'more', 'distant', 'unresolved', 'star', 'clusters', 'in', 'a', 'statistically', 'robust', 'manner', 'since', 'they', 'cover', 'a', 'large', 'range', 'in', 'age', 'and', 'metallicity']] | [-0.0486931830329757, 0.09505090350329269, -0.09334678849325317, 0.1221263482813921, -0.08488652228278983, -0.06565197745062919, 0.10292546252127398, 0.4406780307922004, -0.1771259243727069, -0.36241393610058975, 0.041041292714935756, -0.29043614805039286, -0.010942091297527606, 0.1845100481860396, -0.08504302474885304, -0.050420447065886095, 0.12483025377856172, -0.031073813305490396, -0.03344506576716164, -0.3181337444878988, 0.2946714162720706, 0.04073745020044347, 0.2202366571864607, -0.06779453099818167, 0.024931859546058782, -0.07290557516865771, -0.07002779844123959, -0.004114487991583618, -0.10155592043589201, 0.08740426848993538, 0.23008659959843886, 0.1176384107357907, 0.23820614455634673, -0.3565267270473255, -0.20419313280867893, 0.08737321127784636, 0.2450155612931474, 0.028143826547999528, -0.06275241159919735, -0.2330642271024937, 0.11829754440722437, -0.1827938445119688, -0.17873287321135373, 0.10184213582948415, 0.05175164902307601, 0.07587102582725823, -0.21191880190819962, 0.14337849904779543, -0.03363033691086016, 0.08642651128166383, -0.09791859067406745, -0.19110752589591412, -0.09481978369700356, 0.11634700721675251, -0.04656495579966401, 0.04736289594934946, 0.17048845433093834, -0.13952709816459735, 0.003580592276359146, 0.40517882312027115, -0.04522248069786821, -0.046604987224616874, 0.19547172273891963, -0.17080483527388424, -0.16248182038940617, 0.08916048953577763, 0.16232117404984875, 0.12391355324705894, -0.19499351940414106, 0.004044627044288173, 0.027057324150298497, 0.23851785818469856, 0.021585129733659524, 0.09619637892385734, 0.3148672489500534, 0.14980849239443408, 0.05191620092073484, 0.07349137795311188, -0.21661652699747885, -0.11734802912828993, -0.19686171671403854, -0.07878953845603533, -0.11392367491586783, 0.026244429403187965, -0.16530658240712495, -0.135852946367143, 0.33883511449852394, 0.12563045277210855, 0.19479062885158893, 0.08122481680192957, 0.3091306379999768, 0.13964491642334245, 0.16040067317821508, 0.13208654311848944, 0.28635507858499215, 0.17607590581368035, 0.052966995001153205, -0.2376829456082884, 0.07466712641480351, -0.026801159941400823] |
711.2157 | On Approximating Multi-Criteria TSP | We present approximation algorithms for almost all variants of the
multi-criteria traveling salesman problem (TSP).
First, we devise randomized approximation algorithms for multi-criteria
maximum traveling salesman problems (Max-TSP). For multi-criteria Max-STSP,
where the edge weights have to be symmetric, we devise an algorithm with an
approximation ratio of 2/3 - eps. For multi-criteria Max-ATSP, where the edge
weights may be asymmetric, we present an algorithm with a ratio of 1/2 - eps.
Our algorithms work for any fixed number k of objectives. Furthermore, we
present a deterministic algorithm for bi-criteria Max-STSP that achieves an
approximation ratio of 7/27.
Finally, we present a randomized approximation algorithm for the asymmetric
multi-criteria minimum TSP with triangle inequality Min-ATSP. This algorithm
achieves a ratio of log n + eps.
| cs.DS | we present approximation algorithms for almost all variants of the multicriteria traveling salesman problem tsp first we devise randomized approximation algorithms for multicriteria maximum traveling salesman problems maxtsp for multicriteria maxstsp where the edge weights have to be symmetric we devise an algorithm with an approximation ratio of 23 eps for multicriteria maxatsp where the edge weights may be asymmetric we present an algorithm with a ratio of 12 eps our algorithms work for any fixed number k of objectives furthermore we present a deterministic algorithm for bicriteria maxstsp that achieves an approximation ratio of 727 finally we present a randomized approximation algorithm for the asymmetric multicriteria minimum tsp with triangle inequality minatsp this algorithm achieves a ratio of log n eps | [['we', 'present', 'approximation', 'algorithms', 'for', 'almost', 'all', 'variants', 'of', 'the', 'multicriteria', 'traveling', 'salesman', 'problem', 'tsp', 'first', 'we', 'devise', 'randomized', 'approximation', 'algorithms', 'for', 'multicriteria', 'maximum', 'traveling', 'salesman', 'problems', 'maxtsp', 'for', 'multicriteria', 'maxstsp', 'where', 'the', 'edge', 'weights', 'have', 'to', 'be', 'symmetric', 'we', 'devise', 'an', 'algorithm', 'with', 'an', 'approximation', 'ratio', 'of', '23', 'eps', 'for', 'multicriteria', 'maxatsp', 'where', 'the', 'edge', 'weights', 'may', 'be', 'asymmetric', 'we', 'present', 'an', 'algorithm', 'with', 'a', 'ratio', 'of', '12', 'eps', 'our', 'algorithms', 'work', 'for', 'any', 'fixed', 'number', 'k', 'of', 'objectives', 'furthermore', 'we', 'present', 'a', 'deterministic', 'algorithm', 'for', 'bicriteria', 'maxstsp', 'that', 'achieves', 'an', 'approximation', 'ratio', 'of', '727', 'finally', 'we', 'present', 'a', 'randomized', 'approximation', 'algorithm', 'for', 'the', 'asymmetric', 'multicriteria', 'minimum', 'tsp', 'with', 'triangle', 'inequality', 'minatsp', 'this', 'algorithm', 'achieves', 'a', 'ratio', 'of', 'log', 'n', 'eps']] | [-0.14509497415120445, -0.020098882799964274, -0.07894698558336755, 0.055585882456180416, -0.05847924942158409, -0.21511490033046643, 0.1400890760354636, 0.4597885726339161, -0.2583747528443375, -0.35112693930460404, 0.06868008902096305, -0.23162184041455264, -0.20781268750717632, 0.1373999464702754, -0.03955809359269386, 0.09590556608005003, 0.07320296326709896, -0.021379721273999078, -0.04925729614136017, -0.3055647716141683, 0.23542207183916708, 0.036511751130408, 0.18515370999586053, 0.053060705311719546, 0.07342592694302097, 0.04619412722974277, 0.07364160379718158, 0.04992108485538297, -0.16891739422808766, 0.06958733278823138, 0.273854520218062, 0.24820221419453867, 0.33686419674926554, -0.35556137099600404, -0.09298413019619636, 0.17351614691755804, 0.16623618093045997, 0.09173771360319508, -0.04511905955497083, -0.19500673763176873, 0.10474974447707376, -0.07458203084274265, -0.10226497897389537, -0.004743417878904618, 0.02662253108266202, 0.016551936522495647, -0.3816887875941913, 0.018133429229290277, 0.018956985214219065, -0.04264877812767571, -0.0697855680857685, -0.2409579776023507, 0.18591774509226797, 0.01956522194495471, -0.043810787468317375, 0.05696134061421737, 0.01817602564942492, -0.06413255209942187, -0.257999891603812, 0.3880610506335073, -0.045755817095483535, -0.1703173221850937, 0.07542376393406106, 0.027228679330942553, -0.1678999727283997, 0.15528535879070848, 0.25509618559452, 0.22534604050788629, -0.09557948763528454, 0.07825564886327864, -0.1233021808741999, 0.13257562832941477, 0.11158908452561572, -0.052152646940263094, 0.03907715837848334, 0.19147918197472602, 0.22091653835113076, 0.16448438446776373, -0.07822464744768236, -0.08727804422455508, -0.24600924417561243, -0.12544881956544052, -0.16434623532416684, -0.017032459224304877, -0.24577251145200543, -0.2382710148726613, 0.3466017709598561, 0.1182641205171023, 0.158810312990561, 0.19557032038357633, 0.3031945610495885, 0.14563039716521725, -0.06744691693755098, 0.22589819535828573, 0.19673849241846542, 0.05318423994039455, 0.041591102102471224, -0.22094265437754226, 0.07404968977621025, 0.12416814450436264] |
711.2158 | Discrete spectrum distribution of the Landau Operator Perturbed by an
Expanding Electric Potential | Under a perturbation by a decaying electric potential, the Landau Hamiltonian
acquires some discrete eigenvalues between the Landau levels. We study the
perturbation by an "expanding" electric potential $V(t^{-1}x)$, $t>0$, and
derive a quasi-classical formula for the counting function of the discrete
spectrum as $t\to \infty$.
| math.SP math-ph math.MP | under a perturbation by a decaying electric potential the landau hamiltonian acquires some discrete eigenvalues between the landau levels we study the perturbation by an expanding electric potential vt1x t0 and derive a quasiclassical formula for the counting function of the discrete spectrum as tto infty | [['under', 'a', 'perturbation', 'by', 'a', 'decaying', 'electric', 'potential', 'the', 'landau', 'hamiltonian', 'acquires', 'some', 'discrete', 'eigenvalues', 'between', 'the', 'landau', 'levels', 'we', 'study', 'the', 'perturbation', 'by', 'an', 'expanding', 'electric', 'potential', 'vt1x', 't0', 'and', 'derive', 'a', 'quasiclassical', 'formula', 'for', 'the', 'counting', 'function', 'of', 'the', 'discrete', 'spectrum', 'as', 'tto', 'infty']] | [-0.17421777875473102, 0.17537715121773848, -0.12605042035381, 0.1172101277858019, 0.0004596155964665943, -0.12742445420266854, 0.06102824008299245, 0.2747178942172064, -0.24471995358148382, -0.2343914457079437, 0.009499259696652492, -0.28402748087214097, -0.11432900693681505, 0.09038231207782196, 0.04410737320366833, 0.06306564377413856, -0.017049167351797224, 0.08238177746534348, -0.06160242088759939, -0.11788886706862185, 0.31805703627566495, 0.016175555561979613, 0.2426364504576971, 0.09998660117982783, 0.0512230952994691, 0.04478413351914949, 0.08792649161898428, -0.054484511539340016, -0.15245606739901835, -0.013995471513933606, 0.1566823454780711, 0.0011258084637423356, 0.31072601055105525, -0.4062729193104638, -0.18661316887785992, 0.0671080062760868, 0.1580030906945467, 0.11224230931871312, -0.05163118595050441, -0.35263094835811193, 0.04434288978162739, -0.17844831968347233, -0.21988928536367086, -0.13832852459616132, 0.0257019094708893, 0.030113267538965576, -0.32664110130733914, 0.10951050280903776, 0.04587183110415936, 0.04835814707395103, -0.1284331244054354, -0.10467675977076094, -0.043854829110205176, 0.09257267378270626, 0.09815052865176566, 0.043362455090714826, 0.10041457821304599, -0.1330270584465729, -0.07085873482541906, 0.36807038287321725, -0.15991905456305378, -0.23950816376341713, 0.06357486991004811, -0.15937562332385116, -0.07508934628632334, 0.1253011856228113, 0.08623263765540388, 0.11536942600376077, -0.13579818088975218, 0.2624157735030167, 0.02228913940489292, 0.05477067844735251, 0.11807017034540573, -0.00011007616089449988, 0.17851845795909563, 0.06588812343155344, 0.09178752758436733, 0.1527702445578244, -0.07170345396734774, -0.09891564823790557, -0.39555121494664086, -0.10466040301253088, -0.23998202691889473, 0.12651655392514335, -0.0941586689399426, -0.239588245542513, 0.4487323005166319, 0.06154746185574267, 0.210497532495194, 0.08796424499402443, 0.2871358367304007, 0.3179552214194296, -0.028535370901226997, 0.03950321514987283, 0.14831394299981185, 0.19581036071500016, 0.10866625126865175, -0.27421209908400973, -0.08575110109522939, 0.12846411218245823] |
711.2159 | Fundamental interactions in quantum phase space specified by extra
dimensional constants | A generalized algebra of quantum observables, depending on extra dimensional
constants, is considered. Some limiting forms of the algebra are investigated
and their possible applications to the descriptions of interactions of
fundamental particles are proposed. A relation between current and constituent
quark masses is found using a modified quark equation of Dirac-Gursey-Lee type
and restrictions on the results of simultaneous measurements of momentum
components are pointed out.
| hep-th | a generalized algebra of quantum observables depending on extra dimensional constants is considered some limiting forms of the algebra are investigated and their possible applications to the descriptions of interactions of fundamental particles are proposed a relation between current and constituent quark masses is found using a modified quark equation of diracgurseylee type and restrictions on the results of simultaneous measurements of momentum components are pointed out | [['a', 'generalized', 'algebra', 'of', 'quantum', 'observables', 'depending', 'on', 'extra', 'dimensional', 'constants', 'is', 'considered', 'some', 'limiting', 'forms', 'of', 'the', 'algebra', 'are', 'investigated', 'and', 'their', 'possible', 'applications', 'to', 'the', 'descriptions', 'of', 'interactions', 'of', 'fundamental', 'particles', 'are', 'proposed', 'a', 'relation', 'between', 'current', 'and', 'constituent', 'quark', 'masses', 'is', 'found', 'using', 'a', 'modified', 'quark', 'equation', 'of', 'diracgurseylee', 'type', 'and', 'restrictions', 'on', 'the', 'results', 'of', 'simultaneous', 'measurements', 'of', 'momentum', 'components', 'are', 'pointed', 'out']] | [-0.15232515110718933, 0.17453029351732272, -0.0753917018644808, 0.0730259534938148, -0.09983969254024101, -0.12074660173278641, 0.03988481158122533, 0.3292330326512456, -0.2333453741968807, -0.26748302039887867, 0.07499074830080975, -0.27126196572895755, -0.07864281142158716, 0.2090487400013389, 0.01041738742567373, 0.04222019293140902, 0.0504916347774931, 0.0739714812459142, -0.13808075038127066, -0.2309792246669531, 0.37031831731314235, 0.0020453462864018297, 0.24629077298397367, 0.09519448965632667, 0.14869840843885235, -0.01365879048932005, -0.09039436356926506, 0.010529071501823086, -0.13962687006587107, 0.09554036238555316, 0.17392674486583212, 0.04827415656693505, 0.1596288618942102, -0.392672806357344, -0.16859445549463006, 0.0890549434574716, 0.11296127053598563, 0.06380719707742559, -0.027694167191811808, -0.25608617804634076, 0.05354848640942664, -0.1662522209102683, -0.14325463602488692, -0.1028128534865876, 0.047633311414921824, 0.05414189381355589, -0.2760208162168662, 0.09000456873609712, 0.04136507726004559, 0.036256802240104385, -0.07952741844664243, -0.17089408669959416, -0.07521856888409027, 0.0902384095543036, 0.054549644496574096, -0.0457851586468292, 0.1393744810625459, -0.15561786161483862, -0.143635936342462, 0.4241636511728619, -0.0008122686889361252, -0.25731117230360256, 0.2016916971223316, -0.11744460146027533, -0.13792049601871634, 0.02801591799608573, 0.14563152896748346, 0.09672497921256405, -0.16478849850087005, 0.13892082594578492, -0.04662732240235941, 0.1273748996318318, 0.08954870498344077, 0.07875122050895836, 0.22761746209509898, 0.1428322789231033, -0.04695234280249375, 0.08720033719190255, -0.018454309298910877, -0.13879584020204758, -0.3459956893753825, -0.15296499826239818, -0.15231090626735805, 0.06258774016786253, -0.11206487643071203, -0.10693981664283483, 0.3942438878372989, 0.10228740723334451, 0.1997418162257721, -0.028119680013112498, 0.2509719383423076, 0.13958689769214921, 0.10504349547960429, 0.03133294356027336, 0.2652310306214283, 0.24965864069985622, 0.045047444654769744, -0.19102629980735594, -0.013330217359136, 0.09290654625687184] |
711.216 | Three-Dimensional Bulk Electronic Structures of Ca1.5Sr0.5RuO4 Studied
by Soft X-ray Angle-Resolved Photoemission | We report on experimental data of the three-dimensional bulk Fermi surfaces
of the layered strongly correlated Ca1.5Sr0.5RuO4 system. The measurements have
been performed by means of hn-depndent bulk-sensitive soft x-ray angle-resolved
photoemission technique. Our experimental data evinces the bulk Fermi surface
topology at kz~0 to be qualitatively different from the one observed by
surface-sensitive low-energy ARPES. Furthermore, stronger kz dispersion of the
circle-like gamma Fermi surface sheet is observed compared with Sr2RuO4. Thus
in the paramagnetic metal phase, Ca1.5Sr0.5RuO4 compound is found to have
rather three-dimensional electronic structure.
| cond-mat.str-el cond-mat.supr-con | we report on experimental data of the threedimensional bulk fermi surfaces of the layered strongly correlated ca15sr05ruo4 system the measurements have been performed by means of hndepndent bulksensitive soft xray angleresolved photoemission technique our experimental data evinces the bulk fermi surface topology at kz0 to be qualitatively different from the one observed by surfacesensitive lowenergy arpes furthermore stronger kz dispersion of the circlelike gamma fermi surface sheet is observed compared with sr2ruo4 thus in the paramagnetic metal phase ca15sr05ruo4 compound is found to have rather threedimensional electronic structure | [['we', 'report', 'on', 'experimental', 'data', 'of', 'the', 'threedimensional', 'bulk', 'fermi', 'surfaces', 'of', 'the', 'layered', 'strongly', 'correlated', 'ca15sr05ruo4', 'system', 'the', 'measurements', 'have', 'been', 'performed', 'by', 'means', 'of', 'hndepndent', 'bulksensitive', 'soft', 'xray', 'angleresolved', 'photoemission', 'technique', 'our', 'experimental', 'data', 'evinces', 'the', 'bulk', 'fermi', 'surface', 'topology', 'at', 'kz0', 'to', 'be', 'qualitatively', 'different', 'from', 'the', 'one', 'observed', 'by', 'surfacesensitive', 'lowenergy', 'arpes', 'furthermore', 'stronger', 'kz', 'dispersion', 'of', 'the', 'circlelike', 'gamma', 'fermi', 'surface', 'sheet', 'is', 'observed', 'compared', 'with', 'sr2ruo4', 'thus', 'in', 'the', 'paramagnetic', 'metal', 'phase', 'ca15sr05ruo4', 'compound', 'is', 'found', 'to', 'have', 'rather', 'threedimensional', 'electronic', 'structure']] | [-0.1257760767326718, 0.19215437107985572, -0.12081586152115571, 0.04791719554868039, -0.058803427254869825, -0.15129808771113554, 0.09562770040827759, 0.42829577061569407, -0.2653832693052079, -0.3261700610053681, -0.042217426446898444, -0.3877925083784032, -0.13214865110681526, 0.24706184677779675, 0.05743946944407764, 0.10621946346059087, -0.0014345032035461848, -0.0728122128722524, -0.14972484444401093, -0.1957564883771175, 0.35374411885970314, 0.07609790777565822, 0.3474573072799969, 0.06582284838493381, -0.016501320883565183, -0.015592248905228362, 0.051807408343024906, 0.06043582274356768, -0.15474581965688794, 0.08731181107439279, 0.2783917060310376, -0.14197286560444072, 0.09596845584400442, -0.4680359277075955, -0.27524200006432475, -0.0802535436398882, 0.08959819970741159, 0.06853623734787107, -0.06978122232110417, -0.30853359272614833, 0.02480302727781236, -0.12632676509730073, -0.13440964983532294, -0.11189439393846053, -0.07582349060768527, -0.05280624811227123, -0.11084051422256466, 0.11976077580281223, -0.04143324991067251, 0.11611348487037633, -0.13869255770363711, -0.09549540111523432, -0.12559928999204809, -0.0009428658744408971, 0.07015608521067493, 0.08460213453508914, 0.13269550309494316, -0.07873216619399111, -0.1039023220378329, 0.35718088492839817, -0.04205467275044482, -0.05909109735373585, 0.1795270104637547, -0.2743929178520505, -0.11659301070696008, 0.2463581767598433, 0.06950810944129314, 0.0742025021685376, -0.14605083051927586, 0.09945246613157603, -0.09549924975172394, 0.200921416870274, 0.010904787640486444, 0.06655816864665776, 0.23290771902317092, 0.21903744296287186, -0.028607681510038674, 0.1047769366913209, -0.21837292043104148, 0.06072680471697822, -0.1692325642687224, -0.130179009710749, -0.25352480072927264, 0.05218401198674526, -0.007641376528356757, -0.17346231277943366, 0.36535829063394065, 0.06960678374439123, 0.2148933562285882, -0.08504338829966616, 0.25423761685600593, 0.07434635884350255, 0.04849408824451357, 0.03210313865427105, 0.303911698882335, 0.10596794998162382, 0.0880037343983228, -0.2961748100850465, 0.11759559520232003, 0.002230626619642689] |
711.2161 | Intrinsic atomic scale modulations of the superconducting gap of
2H-NbSe2 | We present scanning tunneling microscopy and spectroscopy measurements at
100mK in the superconducting material 2H-NbSe2 that show well defined features
in the superconducting density of states changing in a pattern closely
following atomic periodicity. Our experiment demonstrates that the intrinsic
superconducting density of states can show atomic size modulations, which
reflect the reciprocal space structure of the superconducting gap. In
particular we obtain that the superconducting gap of 2H-NbSe2 has six fold
modulated components at 0.75 mV and 1.2 mV.Moreover, we also find related
atomic size modulations inside vortices, demonstrating that the much discussed
star shape vortex structure produced by localized states inside the vortex
cores, has a, hitherto undetected, superposed atomic size modulation. The tip
substrate interaction in an anisotropic superconductor has been calculated,
giving position dependent changes related to the observed gap anisotropy.
| cond-mat.supr-con cond-mat.str-el | we present scanning tunneling microscopy and spectroscopy measurements at 100mk in the superconducting material 2hnbse2 that show well defined features in the superconducting density of states changing in a pattern closely following atomic periodicity our experiment demonstrates that the intrinsic superconducting density of states can show atomic size modulations which reflect the reciprocal space structure of the superconducting gap in particular we obtain that the superconducting gap of 2hnbse2 has six fold modulated components at 075 mv and 12 mvmoreover we also find related atomic size modulations inside vortices demonstrating that the much discussed star shape vortex structure produced by localized states inside the vortex cores has a hitherto undetected superposed atomic size modulation the tip substrate interaction in an anisotropic superconductor has been calculated giving position dependent changes related to the observed gap anisotropy | [['we', 'present', 'scanning', 'tunneling', 'microscopy', 'and', 'spectroscopy', 'measurements', 'at', '100mk', 'in', 'the', 'superconducting', 'material', '2hnbse2', 'that', 'show', 'well', 'defined', 'features', 'in', 'the', 'superconducting', 'density', 'of', 'states', 'changing', 'in', 'a', 'pattern', 'closely', 'following', 'atomic', 'periodicity', 'our', 'experiment', 'demonstrates', 'that', 'the', 'intrinsic', 'superconducting', 'density', 'of', 'states', 'can', 'show', 'atomic', 'size', 'modulations', 'which', 'reflect', 'the', 'reciprocal', 'space', 'structure', 'of', 'the', 'superconducting', 'gap', 'in', 'particular', 'we', 'obtain', 'that', 'the', 'superconducting', 'gap', 'of', '2hnbse2', 'has', 'six', 'fold', 'modulated', 'components', 'at', '075', 'mv', 'and', '12', 'mvmoreover', 'we', 'also', 'find', 'related', 'atomic', 'size', 'modulations', 'inside', 'vortices', 'demonstrating', 'that', 'the', 'much', 'discussed', 'star', 'shape', 'vortex', 'structure', 'produced', 'by', 'localized', 'states', 'inside', 'the', 'vortex', 'cores', 'has', 'a', 'hitherto', 'undetected', 'superposed', 'atomic', 'size', 'modulation', 'the', 'tip', 'substrate', 'interaction', 'in', 'an', 'anisotropic', 'superconductor', 'has', 'been', 'calculated', 'giving', 'position', 'dependent', 'changes', 'related', 'to', 'the', 'observed', 'gap', 'anisotropy']] | [-0.18926414925910867, 0.214127180284804, -0.07427591161614322, 0.04691895338664971, -0.021855977885147083, -0.12161587542548442, 0.06625842045142954, 0.4069756259168707, -0.2614680245004372, -0.3140356239807139, -0.009040374657201734, -0.30107303160423443, -0.11328611212066694, 0.14842346256404226, 0.03260880393851826, 0.020080399772485914, -0.01805971485715526, -0.03358174647454784, -0.13148815426697483, -0.2008121393085805, 0.3128415779158501, 0.038949314080901555, 0.3434782860689421, 0.07314930810009254, 0.04080462223266376, -0.021293337338729137, 0.057053119218699745, 0.026577867352083992, -0.16626483891545898, 0.05446888952271243, 0.2231648468465454, -0.053350975432905796, 0.1524892170225451, -0.461818467325239, -0.22213384409004183, 0.007892396320144076, 0.2028338692442917, 0.11388150769643791, -0.06514937402385135, -0.28248268186371883, 0.034554111286511285, -0.09956187256846452, -0.16966667401242946, -0.0562617590150504, 0.039219537958391566, 0.031179649088142525, -0.17274761849791923, 0.0837095046618783, 0.03132558649418, 0.07745451455824633, -0.10043456245199847, -0.09510314250503903, -0.0507546646256389, 0.02039342007292226, -0.03101117017248006, 0.06415336259029139, 0.18890395055094095, -0.09314254890265528, -0.09561983188753252, 0.29119657470719584, -0.06883390524438512, -0.07582290916800943, 0.1320119561495454, -0.2104792786630065, -0.06933087038237658, 0.162822610931471, 0.07295819242839326, 0.039751319600436, -0.07418056743075278, 0.029141550205140584, -0.04379638230407249, 0.27058343910924926, 0.1360911856780746, 0.10045984707105515, 0.24801493520542645, 0.2074542109795443, 0.047145373310836, 0.1613464765459188, -0.19903458819338885, -0.03783917741210603, -0.2227761141726497, -0.1214553832576902, -0.23009272869467848, 0.024641011804238017, -0.021893040600029487, -0.18862496600347334, 0.4076885559019257, 0.10943713565157212, 0.23338307729538238, -0.10776884116513877, 0.23884096691635118, 0.09350978000325832, 0.12714368799430276, 0.042934180077498975, 0.26725373302461275, 0.15797552060676434, 0.1156389786125119, -0.31680221039864387, 0.08305954501561041, -0.037983135728568616] |
711.2162 | Mean-field backward stochastic differential equations: A limit approach | Mathematical mean-field approaches play an important role in different fields
of Physics and Chemistry, but have found in recent works also their application
in Economics, Finance and Game Theory. The objective of our paper is to
investigate a special mean-field problem in a purely stochastic approach: for
the solution $(Y,Z)$ of a mean-field backward stochastic differential equation
driven by a forward stochastic differential of McKean--Vlasov type with
solution $X$ we study a special approximation by the solution $(X^N,Y^N,Z^N)$
of some decoupled forward--backward equation which coefficients are governed by
$N$ independent copies of $(X^N,Y^N,Z^N)$. We show that the convergence speed
of this approximation is of order $1/\sqrt{N}$. Moreover, our special choice of
the approximation allows to characterize the limit behavior of
$\sqrt{N}(X^N-X,Y^N-Y,Z^N-Z)$. We prove that this triplet converges in law to
the solution of some forward--backward stochastic differential equation of
mean-field type, which is not only governed by a Brownian motion but also by an
independent Gaussian field.
| math.PR math.SG | mathematical meanfield approaches play an important role in different fields of physics and chemistry but have found in recent works also their application in economics finance and game theory the objective of our paper is to investigate a special meanfield problem in a purely stochastic approach for the solution yz of a meanfield backward stochastic differential equation driven by a forward stochastic differential of mckeanvlasov type with solution x we study a special approximation by the solution xnynzn of some decoupled forwardbackward equation which coefficients are governed by n independent copies of xnynzn we show that the convergence speed of this approximation is of order 1sqrtn moreover our special choice of the approximation allows to characterize the limit behavior of sqrtnxnxynyznz we prove that this triplet converges in law to the solution of some forwardbackward stochastic differential equation of meanfield type which is not only governed by a brownian motion but also by an independent gaussian field | [['mathematical', 'meanfield', 'approaches', 'play', 'an', 'important', 'role', 'in', 'different', 'fields', 'of', 'physics', 'and', 'chemistry', 'but', 'have', 'found', 'in', 'recent', 'works', 'also', 'their', 'application', 'in', 'economics', 'finance', 'and', 'game', 'theory', 'the', 'objective', 'of', 'our', 'paper', 'is', 'to', 'investigate', 'a', 'special', 'meanfield', 'problem', 'in', 'a', 'purely', 'stochastic', 'approach', 'for', 'the', 'solution', 'yz', 'of', 'a', 'meanfield', 'backward', 'stochastic', 'differential', 'equation', 'driven', 'by', 'a', 'forward', 'stochastic', 'differential', 'of', 'mckeanvlasov', 'type', 'with', 'solution', 'x', 'we', 'study', 'a', 'special', 'approximation', 'by', 'the', 'solution', 'xnynzn', 'of', 'some', 'decoupled', 'forwardbackward', 'equation', 'which', 'coefficients', 'are', 'governed', 'by', 'n', 'independent', 'copies', 'of', 'xnynzn', 'we', 'show', 'that', 'the', 'convergence', 'speed', 'of', 'this', 'approximation', 'is', 'of', 'order', '1sqrtn', 'moreover', 'our', 'special', 'choice', 'of', 'the', 'approximation', 'allows', 'to', 'characterize', 'the', 'limit', 'behavior', 'of', 'sqrtnxnxynyznz', 'we', 'prove', 'that', 'this', 'triplet', 'converges', 'in', 'law', 'to', 'the', 'solution', 'of', 'some', 'forwardbackward', 'stochastic', 'differential', 'equation', 'of', 'meanfield', 'type', 'which', 'is', 'not', 'only', 'governed', 'by', 'a', 'brownian', 'motion', 'but', 'also', 'by', 'an', 'independent', 'gaussian', 'field']] | [-0.11267901902707915, 0.056253239729043204, -0.10696091566187067, 0.06657074389528507, -0.07153381582182379, -0.14776315630819553, 0.03682989247131328, 0.292871927908168, -0.329938308443301, -0.2510015550427712, 0.07818879707916401, -0.2679873896578591, -0.18516974972758013, 0.16031954078099284, -0.06298437270705994, 0.0523318540206394, 0.03070314252153576, 0.024687055155085638, -0.01841279142237722, -0.24062728271103248, 0.32564669883159253, -0.008352133182760997, 0.24089742203553519, -0.009430899320600124, 0.15946433234897156, 0.006741356400128167, -0.012163502152245015, 0.053494383694413, -0.148787133490166, 0.08211072795287085, 0.25096816156441587, 0.0678972957247401, 0.3410538600709958, -0.41868053414882755, -0.19207666891937455, 0.0945162512600804, 0.17569945805380718, 0.12193126077256285, -0.07170882481836881, -0.25301375086658084, 0.04988572431298403, -0.14739259144810674, -0.1765109211928808, -0.07621656777486444, 0.004390574308882396, 0.09309360947018155, -0.29086985593834797, 0.08923759263640162, 0.11050307131387317, 0.026794417617985837, -0.039646563819051385, -0.11141805367198032, 0.01519783831332834, 0.049861708984304316, 0.08286772961041723, 0.020440466049760103, 0.08120458710711831, -0.15003287657432687, -0.1389797301007769, 0.35332011209371, -0.11777132240091212, -0.2614254970730354, 0.13514578839143118, -0.1347225553756102, -0.15254152447241956, 0.1320384577930105, 0.17280337972662005, 0.1736972248161645, -0.21427781988556185, 0.1561610557382198, -0.06212190725170494, 0.12904690507835206, 0.032956660232649974, -0.006670975102446018, 0.09110969947561479, 0.1762784750153048, 0.09717279527103528, 0.09430533115832637, -0.0014500581817582059, -0.23685631876250204, -0.3334966355469078, -0.1390535703036361, -0.13113544830897203, 0.09687774326644452, -0.10786295682173193, -0.16784628758875605, 0.3492644878092389, 0.1486760422062033, 0.1553788958908393, 0.04119809439035658, 0.24504514240797085, 0.2411827456119518, -0.051833163625978604, 0.06096043627267369, 0.227841170202084, 0.19709779378414774, 0.12774016696195573, -0.23858044472021553, 0.08390400889971389, 0.12378534805387832] |
711.2163 | Predicting spectral features in galaxy spectra from broad-band
photometry | We explore the prospects of predicting emission line features present in
galaxy spectra given broad-band photometry alone. There is a general consent
that colours, and spectral features, most notably the 4000 A break, can predict
many properties of galaxies, including star formation rates and hence they
could infer some of the line properties. We argue that these techniques have
great prospects in helping us understand line emission in extragalactic objects
and might speed up future galaxy redshift surveys if they are to target
emission line objects only. We use two independent methods, Artifical Neural
Neworks (based on the ANNz code) and Locally Weighted Regression (LWR), to
retrieve correlations present in the colour N-dimensional space and to predict
the equivalent widths present in the corresponding spectra. We also investigate
how well it is possible to separate galaxies with and without lines from broad
band photometry only. We find, unsurprisingly, that recombination lines can be
well predicted by galaxy colours. However, among collisional lines some can and
some cannot be predicted well from galaxy colours alone, without any further
redshift information. We also use our techniques to estimate how much
information contained in spectral diagnostic diagrams can be recovered from
broad-band photometry alone. We find that it is possible to classify AGN and
star formation objects relatively well using colours only. We suggest that this
technique could be used to considerably improve redshift surveys such as the
upcoming FMOS survey and the planned WFMOS survey.
| astro-ph | we explore the prospects of predicting emission line features present in galaxy spectra given broadband photometry alone there is a general consent that colours and spectral features most notably the 4000 a break can predict many properties of galaxies including star formation rates and hence they could infer some of the line properties we argue that these techniques have great prospects in helping us understand line emission in extragalactic objects and might speed up future galaxy redshift surveys if they are to target emission line objects only we use two independent methods artifical neural neworks based on the annz code and locally weighted regression lwr to retrieve correlations present in the colour ndimensional space and to predict the equivalent widths present in the corresponding spectra we also investigate how well it is possible to separate galaxies with and without lines from broad band photometry only we find unsurprisingly that recombination lines can be well predicted by galaxy colours however among collisional lines some can and some cannot be predicted well from galaxy colours alone without any further redshift information we also use our techniques to estimate how much information contained in spectral diagnostic diagrams can be recovered from broadband photometry alone we find that it is possible to classify agn and star formation objects relatively well using colours only we suggest that this technique could be used to considerably improve redshift surveys such as the upcoming fmos survey and the planned wfmos survey | [['we', 'explore', 'the', 'prospects', 'of', 'predicting', 'emission', 'line', 'features', 'present', 'in', 'galaxy', 'spectra', 'given', 'broadband', 'photometry', 'alone', 'there', 'is', 'a', 'general', 'consent', 'that', 'colours', 'and', 'spectral', 'features', 'most', 'notably', 'the', '4000', 'a', 'break', 'can', 'predict', 'many', 'properties', 'of', 'galaxies', 'including', 'star', 'formation', 'rates', 'and', 'hence', 'they', 'could', 'infer', 'some', 'of', 'the', 'line', 'properties', 'we', 'argue', 'that', 'these', 'techniques', 'have', 'great', 'prospects', 'in', 'helping', 'us', 'understand', 'line', 'emission', 'in', 'extragalactic', 'objects', 'and', 'might', 'speed', 'up', 'future', 'galaxy', 'redshift', 'surveys', 'if', 'they', 'are', 'to', 'target', 'emission', 'line', 'objects', 'only', 'we', 'use', 'two', 'independent', 'methods', 'artifical', 'neural', 'neworks', 'based', 'on', 'the', 'annz', 'code', 'and', 'locally', 'weighted', 'regression', 'lwr', 'to', 'retrieve', 'correlations', 'present', 'in', 'the', 'colour', 'ndimensional', 'space', 'and', 'to', 'predict', 'the', 'equivalent', 'widths', 'present', 'in', 'the', 'corresponding', 'spectra', 'we', 'also', 'investigate', 'how', 'well', 'it', 'is', 'possible', 'to', 'separate', 'galaxies', 'with', 'and', 'without', 'lines', 'from', 'broad', 'band', 'photometry', 'only', 'we', 'find', 'unsurprisingly', 'that', 'recombination', 'lines', 'can', 'be', 'well', 'predicted', 'by', 'galaxy', 'colours', 'however', 'among', 'collisional', 'lines', 'some', 'can', 'and', 'some', 'can', 'not', 'be', 'predicted', 'well', 'from', 'galaxy', 'colours', 'alone', 'without', 'any', 'further', 'redshift', 'information', 'we', 'also', 'use', 'our', 'techniques', 'to', 'estimate', 'how', 'much', 'information', 'contained', 'in', 'spectral', 'diagnostic', 'diagrams', 'can', 'be', 'recovered', 'from', 'broadband', 'photometry', 'alone', 'we', 'find', 'that', 'it', 'is', 'possible', 'to', 'classify', 'agn', 'and', 'star', 'formation', 'objects', 'relatively', 'well', 'using', 'colours', 'only', 'we', 'suggest', 'that', 'this', 'technique', 'could', 'be', 'used', 'to', 'considerably', 'improve', 'redshift', 'surveys', 'such', 'as', 'the', 'upcoming', 'fmos', 'survey', 'and', 'the', 'planned', 'wfmos', 'survey']] | [0.00109694240095674, 0.05701174180118317, -0.08859822682112639, 0.1443807768652628, -0.15385672678125137, -0.12552962851802224, 0.0423323227732908, 0.5078071479487126, -0.20667100652955, -0.3326151448294337, 0.09357693100388192, -0.2922214871257177, -0.09634019747652213, 0.20703901712149075, -0.06181440852319089, -0.01094190484689564, 0.07093255974010748, -0.0737488393912275, -0.02207907882680569, -0.27440167018679945, 0.2906271014648841, 0.04672939303048627, 0.20211167014242135, 0.03600880619020155, 0.018818012099965004, -0.05494007178712026, -0.10696767483929508, 0.033907646925802164, -0.16527182324355888, 0.0648503697336056, 0.29761943767385435, 0.20976536670342716, 0.18717480979508674, -0.3514508638817475, -0.24047913027118098, 0.1363618587092191, 0.22246964682670325, 0.11602407564851837, -0.026666800052091693, -0.2681866801681653, 0.07515864342510258, -0.14893285089867098, -0.12862292310169546, -0.055454730548605814, 0.0008689621816480868, 0.06151004226212237, -0.20793003895984138, 0.04995165556143458, 0.005954607396069762, 0.0707333873209284, -0.07299791188904878, -0.0793873604284943, -0.07618275541930505, 0.13795675194705836, -0.01956164638309541, 0.04363267636117449, 0.1430630517558607, -0.16406653567740206, -0.08038298392927916, 0.4241611303372278, -0.08546340973956175, -0.061237896241049174, 0.21952797143842231, -0.17096368769244824, -0.1711344174662849, 0.09636272045833318, 0.164980117357565, 0.11075898514274264, -0.16264636549129166, -0.009402542077548818, 0.001949740430630255, 0.2206746090631016, 0.015049251431950414, 0.0892616317895638, 0.28868642310539383, 0.059499479074519676, 0.036778896187048514, 0.09385245390685817, -0.19540706523321952, 0.013288511290858103, -0.23953570803192245, -0.0984521692420249, -0.13990768476973334, 0.07980438228702548, -0.09139795093857979, -0.09717313031385438, 0.37537546591550786, 0.19406415745386946, 0.23606801690134416, 0.05852776788724739, 0.2941679884259757, 0.08267621219360469, 0.13653207092486766, 0.08957082062929136, 0.28233843174518264, 0.10619458288515414, 0.05268016717679127, -0.17924412311108204, 0.06466218041824788, -0.004781851085040291] |
711.2164 | Elliptic systems of pseudodifferential equations in a refined scale on a
closed manifold | We study a system of pseudodifferential equations that is elliptic in the
sense of Petrovskii on a closed compact smooth manifold. We prove that the
operator generated by the system is Fredholm one on a refined two-sided scale
of the functional Hilbert spaces. Elements of this scale are the special
isotropic spaces of H\"{o}rmander--Volevich--Paneah.
| math.AP | we study a system of pseudodifferential equations that is elliptic in the sense of petrovskii on a closed compact smooth manifold we prove that the operator generated by the system is fredholm one on a refined twosided scale of the functional hilbert spaces elements of this scale are the special isotropic spaces of hormandervolevichpaneah | [['we', 'study', 'a', 'system', 'of', 'pseudodifferential', 'equations', 'that', 'is', 'elliptic', 'in', 'the', 'sense', 'of', 'petrovskii', 'on', 'a', 'closed', 'compact', 'smooth', 'manifold', 'we', 'prove', 'that', 'the', 'operator', 'generated', 'by', 'the', 'system', 'is', 'fredholm', 'one', 'on', 'a', 'refined', 'twosided', 'scale', 'of', 'the', 'functional', 'hilbert', 'spaces', 'elements', 'of', 'this', 'scale', 'are', 'the', 'special', 'isotropic', 'spaces', 'of', 'hormandervolevichpaneah']] | [-0.1943103253120943, 0.09304033546655807, -0.09598935033493447, 0.12113164740676095, -0.07507245604581428, -0.07501643736196577, -0.06875230821798432, 0.332434212156343, -0.3056042753862885, -0.14686814841445325, 0.16326012760005398, -0.2720435446980497, -0.1398440613587088, 0.2376972726142069, -0.11967334585299469, 0.04706940647074074, 0.08638843359812251, 0.09911856011768698, -0.1374917841903022, -0.21757485829996612, 0.5423839078372661, -0.041227597883849776, 0.1870871542443363, 0.005370211743591529, 0.15057719388168375, -0.02919929674914423, 0.003097701536596946, 0.0066297051830674116, -0.11501507205533892, 0.1923347149430862, 0.24274650880328888, 0.013545115021461586, 0.2854499493918891, -0.3944291428328966, -0.20067241000679303, 0.13451702601083046, 0.09473534066335491, -0.005340797000757928, -0.002597783577962304, -0.310135996918071, 0.10709794476312005, -0.11940195230450833, -0.17266673616678366, -0.08379539940945523, 0.028839680647372076, 0.02558521342569224, -0.29408591701034104, 0.03151090812148913, 0.10373183464596294, 0.07730226937400282, -0.1207980708359688, -0.021840314200710295, -0.025543998311853635, 0.060446301396092715, -0.028444561610912095, 0.03227561004547719, 0.09448272951017574, -0.04642978329475055, -0.06507271151541609, 0.3337454495332116, -0.09573261553030636, -0.2864832622965552, 0.08569950641150463, -0.17859787756647422, -0.1377998754153696, 0.094918435591027, 0.15964613055353458, 0.20547677026534417, -0.08877432149536205, 0.20349445136017957, -0.14195492218758138, 0.1337855920406445, 0.03049818761119584, 0.025076960529780614, 0.06810478212417297, 0.15981045634187055, 0.13246126871837197, 0.11104850085311622, 0.017925591603413504, -0.09307877614628524, -0.37739431815889646, -0.2230619000587261, -0.17951340944822528, 0.11212175903525555, -0.12109931969558294, -0.23640202997990375, 0.39491489283599945, 0.058889226311431175, 0.17975240264017628, 0.07857885018412797, 0.20997403984678523, 0.16262044748379234, 0.04115723157828709, 0.07478244727442288, 0.15965038854277358, 0.15014006064343705, 0.06288906648965939, -0.16662559410961308, -0.02415281914631432, 0.22128581422609542] |
711.2165 | The effect of the topology on the spatial ultimatum game | In this work we present an analysis of a spatially non homogeneous ultimatum
game. By considering different underlying topologies as substrates on top of
which the game takes place we obtain nontrivial behaviors for the evolution of
the strategies of the players. We analyze separately the effect of the size of
the neighborhood and the spatial structure. Whereas this last effect is the
most significant one, we show that even for disordered networks and provided
the neighborhood of each site is small, the results can be significantly
different from those obtained in the case of fully connected networks.
| nlin.AO nlin.CG | in this work we present an analysis of a spatially non homogeneous ultimatum game by considering different underlying topologies as substrates on top of which the game takes place we obtain nontrivial behaviors for the evolution of the strategies of the players we analyze separately the effect of the size of the neighborhood and the spatial structure whereas this last effect is the most significant one we show that even for disordered networks and provided the neighborhood of each site is small the results can be significantly different from those obtained in the case of fully connected networks | [['in', 'this', 'work', 'we', 'present', 'an', 'analysis', 'of', 'a', 'spatially', 'non', 'homogeneous', 'ultimatum', 'game', 'by', 'considering', 'different', 'underlying', 'topologies', 'as', 'substrates', 'on', 'top', 'of', 'which', 'the', 'game', 'takes', 'place', 'we', 'obtain', 'nontrivial', 'behaviors', 'for', 'the', 'evolution', 'of', 'the', 'strategies', 'of', 'the', 'players', 'we', 'analyze', 'separately', 'the', 'effect', 'of', 'the', 'size', 'of', 'the', 'neighborhood', 'and', 'the', 'spatial', 'structure', 'whereas', 'this', 'last', 'effect', 'is', 'the', 'most', 'significant', 'one', 'we', 'show', 'that', 'even', 'for', 'disordered', 'networks', 'and', 'provided', 'the', 'neighborhood', 'of', 'each', 'site', 'is', 'small', 'the', 'results', 'can', 'be', 'significantly', 'different', 'from', 'those', 'obtained', 'in', 'the', 'case', 'of', 'fully', 'connected', 'networks']] | [-0.13084461455404453, 0.07748647303957781, -0.08782354058051596, 0.04554721836608892, -0.009065318111406297, -0.10653662674689704, 0.056041692319440145, 0.3746917719135479, -0.2677745848088715, -0.27719230060370603, 0.09235885434033235, -0.25745129687901663, -0.17514800430484573, 0.1537564570103221, -0.02695241044940693, -0.050145859051405506, 0.06654465714545578, 0.05373400277268065, -0.0143462596888825, -0.26859148107801695, 0.3869444360001469, 0.02843213800580849, 0.27518649698634234, 0.04592635749116996, 0.07137817981158745, 0.007700064808738475, -0.01156964194628277, 0.10391510291291135, -0.11610103791322124, 0.09623674039101722, 0.19455019920133054, 0.08754512556348643, 0.2771797992921035, -0.4547230464843463, -0.21824848761411422, 0.12470702141789454, 0.12347865187591511, 0.15050118302864648, -0.026439417150033145, -0.28652903543100977, 0.11690885992126768, -0.14104567991560135, -0.07753839984783256, -0.015469429495373778, -0.013790770939893412, 0.02077545564887779, -0.2564039795513369, 0.013504946081690034, 0.0662689378142965, 0.03397073920303005, -0.06429007248857951, -0.12337648453266949, -0.04108385882834543, 0.21679941392313612, 0.025731916793584064, -0.032118411307052085, 0.10070962510641893, -0.14010964732198994, -0.12163428991809677, 0.3773012938956749, -0.05902146417837666, -0.1698609185119977, 0.1976560745055654, -0.16960149512588218, -0.14528103201764123, 0.08114991630475056, 0.18885856426834147, 0.15125675765531404, -0.14148606881748751, 0.06302343091656624, -0.06324876716113365, 0.16518575523751883, 0.029108805154279178, 0.03156495907305911, 0.15411605885518448, 0.2264418306342345, 0.08374459697266243, 0.15375613432724447, -0.07996349146694173, -0.13103149450213022, -0.2674596783923631, -0.1322018371381778, -0.1582695428728677, 0.025976457225624472, -0.1275173375256507, -0.15313257911831749, 0.43837804296909244, 0.1304678144717437, 0.21621491104763532, 0.040848681264870554, 0.27385135206907074, 0.10959953688826336, 0.05808496464290941, 0.07523989829481864, 0.23780431313875572, 0.06800478786629226, 0.11247046284225522, -0.18312023892495022, 0.11257820196297703, 0.015838930508055325] |
711.2166 | On the solar abundance of indium | The generally adopted value for the solar abundance of indium is over six
times higher than the meteoritic value. We address this discrepancy through
numerical synthesis of the 451.13 nm line on which all indium abundance studies
are based, both for the quiet-sun and the sunspot umbra spectrum, employing
standard atmosphere models and accounting for hyperfine structure and Zeeman
splitting in detail. The results, as well as a re-appraisal of indium
nucleosynthesis, suggest that the solar indium abundance is close to the
meteoritic value, and that some unidentified ion line causes the 451.13 nm
feature in the quiet-sun spectrum.
| astro-ph | the generally adopted value for the solar abundance of indium is over six times higher than the meteoritic value we address this discrepancy through numerical synthesis of the 45113 nm line on which all indium abundance studies are based both for the quietsun and the sunspot umbra spectrum employing standard atmosphere models and accounting for hyperfine structure and zeeman splitting in detail the results as well as a reappraisal of indium nucleosynthesis suggest that the solar indium abundance is close to the meteoritic value and that some unidentified ion line causes the 45113 nm feature in the quietsun spectrum | [['the', 'generally', 'adopted', 'value', 'for', 'the', 'solar', 'abundance', 'of', 'indium', 'is', 'over', 'six', 'times', 'higher', 'than', 'the', 'meteoritic', 'value', 'we', 'address', 'this', 'discrepancy', 'through', 'numerical', 'synthesis', 'of', 'the', '45113', 'nm', 'line', 'on', 'which', 'all', 'indium', 'abundance', 'studies', 'are', 'based', 'both', 'for', 'the', 'quietsun', 'and', 'the', 'sunspot', 'umbra', 'spectrum', 'employing', 'standard', 'atmosphere', 'models', 'and', 'accounting', 'for', 'hyperfine', 'structure', 'and', 'zeeman', 'splitting', 'in', 'detail', 'the', 'results', 'as', 'well', 'as', 'a', 'reappraisal', 'of', 'indium', 'nucleosynthesis', 'suggest', 'that', 'the', 'solar', 'indium', 'abundance', 'is', 'close', 'to', 'the', 'meteoritic', 'value', 'and', 'that', 'some', 'unidentified', 'ion', 'line', 'causes', 'the', '45113', 'nm', 'feature', 'in', 'the', 'quietsun', 'spectrum']] | [-0.018866021254316273, 0.14033134369593528, 0.045353976708620486, 0.0690957308133048, -0.002255060036215141, -0.07069682443251062, 0.04079792542721738, 0.43234494685976194, -0.15670401523962166, -0.360443385299107, 0.050656069994367885, -0.29340365506482846, -0.05680510094577466, 0.2113768424829374, -0.026502144880442308, 0.022811232057089608, 0.06918505252799903, -0.015399589278556482, -0.053149240651177335, -0.1811590093467855, 0.2849501057932473, 0.11026808389961118, 0.2561989122004521, 0.07107897654570865, -0.017208638765632805, -0.14114556743321244, 0.015122242826930803, 0.0017682109028100967, -0.13216983120035347, 0.13473176510270798, 0.24840724963220479, 0.07086811376020613, 0.1804775124806158, -0.40441560259822645, -0.24264095207168299, 0.04157220037898632, 0.15162113772686384, 0.08247437026478689, -0.08378530809928597, -0.24004609051226367, 0.07688967298629289, -0.09350601118293149, -0.08789959690542985, 0.061759714723912756, -0.0008779040471923471, -0.023547972392554236, -0.26372070768389455, 0.06555125287574048, 0.004925077925718418, 0.1514208342955269, -0.13254303424242847, -0.22468948254192417, -0.07502167463782385, 0.08330886667556685, 0.08330660947890144, -0.032195084761226116, 0.1908801385116848, -0.05190321136821024, -0.05209504385864494, 0.40776985409584915, -0.1259078814283853, -0.010318140715661676, 0.11774225864380673, -0.1845468894597331, -0.13417298317124898, 0.16150172024664253, 0.10153923210020017, 0.10144572221495286, -0.11488770420787706, 0.049587423990791045, -0.06227507936354312, 0.2276101435714056, 0.0988549993919077, 0.029014711484614045, 0.23277013402225244, 0.15887884037437464, 0.040302396507350485, 0.043599068441321234, -0.21618284061409984, -0.09982033153393804, -0.22706650395059225, -0.1892232932150364, -0.0946756507648682, 0.07287350241941484, -0.10661953172089081, -0.19856344527950642, 0.39083318774484926, 0.17326838041495796, 0.22183210140263493, -0.02466572775867664, 0.31116142987057266, 0.10497481909502919, 0.07454819619806126, 0.0544223693491082, 0.2858407951463978, 0.1899791768742631, 0.1555101247351485, -0.25749273433566394, 0.1110562478013412, 0.04312408335431658] |
711.2167 | Mean-Field Backward Stochastic Differential Equations and Related
Partial Differential Equations | In [5] the authors obtained Mean-Field backward stochastic differential
equations (BSDE) associated with a Mean-field stochastic differential equation
(SDE) in a natural way as limit of some highly dimensional system of forward
and backward SDEs, corresponding to a large number of ``particles'' (or
``agents''). The objective of the present paper is to deepen the investigation
of such Mean-Field BSDEs by studying them in a more general framework, with
general driver, and to discuss comparison results for them. In a second step we
are interested in partial differential equations (PDE) whose solutions can be
stochastically interpreted in terms of Mean-Field BSDEs. For this we study a
Mean-Field BSDE in a Markovian framework, associated with a Mean-Field forward
equation. By combining classical BSDE methods, in particular that of ``backward
semigroups" introduced by Peng [14], with specific arguments for Mean-Field
BSDEs we prove that this Mean-Field BSDE describes the viscosity solution of a
nonlocal PDE. The uniqueness of this viscosity solution is obtained for the
space of continuous functions with polynomial growth. With the help of an
example it is shown that for the nonlocal PDEs associated to Mean-Field BSDEs
one cannot expect to have uniqueness in a larger space of continuous functions.
| math.PR math.SG | in 5 the authors obtained meanfield backward stochastic differential equations bsde associated with a meanfield stochastic differential equation sde in a natural way as limit of some highly dimensional system of forward and backward sdes corresponding to a large number of particles or agents the objective of the present paper is to deepen the investigation of such meanfield bsdes by studying them in a more general framework with general driver and to discuss comparison results for them in a second step we are interested in partial differential equations pde whose solutions can be stochastically interpreted in terms of meanfield bsdes for this we study a meanfield bsde in a markovian framework associated with a meanfield forward equation by combining classical bsde methods in particular that of backward semigroups introduced by peng 14 with specific arguments for meanfield bsdes we prove that this meanfield bsde describes the viscosity solution of a nonlocal pde the uniqueness of this viscosity solution is obtained for the space of continuous functions with polynomial growth with the help of an example it is shown that for the nonlocal pdes associated to meanfield bsdes one cannot expect to have uniqueness in a larger space of continuous functions | [['in', '5', 'the', 'authors', 'obtained', 'meanfield', 'backward', 'stochastic', 'differential', 'equations', 'bsde', 'associated', 'with', 'a', 'meanfield', 'stochastic', 'differential', 'equation', 'sde', 'in', 'a', 'natural', 'way', 'as', 'limit', 'of', 'some', 'highly', 'dimensional', 'system', 'of', 'forward', 'and', 'backward', 'sdes', 'corresponding', 'to', 'a', 'large', 'number', 'of', 'particles', 'or', 'agents', 'the', 'objective', 'of', 'the', 'present', 'paper', 'is', 'to', 'deepen', 'the', 'investigation', 'of', 'such', 'meanfield', 'bsdes', 'by', 'studying', 'them', 'in', 'a', 'more', 'general', 'framework', 'with', 'general', 'driver', 'and', 'to', 'discuss', 'comparison', 'results', 'for', 'them', 'in', 'a', 'second', 'step', 'we', 'are', 'interested', 'in', 'partial', 'differential', 'equations', 'pde', 'whose', 'solutions', 'can', 'be', 'stochastically', 'interpreted', 'in', 'terms', 'of', 'meanfield', 'bsdes', 'for', 'this', 'we', 'study', 'a', 'meanfield', 'bsde', 'in', 'a', 'markovian', 'framework', 'associated', 'with', 'a', 'meanfield', 'forward', 'equation', 'by', 'combining', 'classical', 'bsde', 'methods', 'in', 'particular', 'that', 'of', 'backward', 'semigroups', 'introduced', 'by', 'peng', '14', 'with', 'specific', 'arguments', 'for', 'meanfield', 'bsdes', 'we', 'prove', 'that', 'this', 'meanfield', 'bsde', 'describes', 'the', 'viscosity', 'solution', 'of', 'a', 'nonlocal', 'pde', 'the', 'uniqueness', 'of', 'this', 'viscosity', 'solution', 'is', 'obtained', 'for', 'the', 'space', 'of', 'continuous', 'functions', 'with', 'polynomial', 'growth', 'with', 'the', 'help', 'of', 'an', 'example', 'it', 'is', 'shown', 'that', 'for', 'the', 'nonlocal', 'pdes', 'associated', 'to', 'meanfield', 'bsdes', 'one', 'can', 'not', 'expect', 'to', 'have', 'uniqueness', 'in', 'a', 'larger', 'space', 'of', 'continuous', 'functions']] | [-0.12043241777142223, 0.04472707555085173, -0.09366362209927606, 0.11608804700275262, -0.09795386283727947, -0.13979305068855707, 0.019673999341028692, 0.3009569056318211, -0.34006284915411206, -0.2317827761669027, 0.10551938006598781, -0.29121671851020103, -0.14363165781022377, 0.18236163162061045, -0.09532839706658724, 0.09812637378892569, 0.05989993533434634, -0.00043461994564540646, -0.043424974840866465, -0.21929973012024065, 0.36293939937749387, -0.04595211679254895, 0.16075961161590185, -0.02574968542115976, 0.17658031602512897, 0.0009954115494608471, -0.013737462185304705, 0.053805856249325296, -0.1552643074939796, 0.09791129072711094, 0.30246331508326996, 0.03662635908758648, 0.3640595240986429, -0.4547881951917018, -0.2208527821922369, 0.07746151583361907, 0.12996838969005903, 0.1401905047369018, -0.059163970725430726, -0.31714904723475823, 0.0630152705119719, -0.16760617080121418, -0.21084338540341058, -0.06704981935057622, -0.007735905900078627, 0.11090286422679571, -0.292139487038714, 0.08390226710236756, 0.07776267991855333, 0.032750213223356583, -0.07613817867747652, -0.06385797904676929, -0.0482418552407096, 0.013911263114860772, 0.0607219118780146, 0.015082440690012343, 0.03729076817659522, -0.12951954181089015, -0.17396534916328554, 0.3219070301335583, -0.12948451187827656, -0.29270651243367596, 0.18841591918034784, -0.17885616233929139, -0.14543971653555088, 0.16631106097095957, 0.17195220942381972, 0.16294680068741985, -0.24147596469714275, 0.0953951377429726, -0.04938464974567516, 0.11709472836824644, 0.009978939670216829, -0.028307441491703157, 0.061017048656384444, 0.20515848220261138, 0.1377772630854922, 0.11575322444678113, 0.048230419520390644, -0.19131297123762062, -0.3445483163203025, -0.16570599900502989, -0.0905579469393735, 0.07875763728702963, -0.11076419023085682, -0.14368502337491923, 0.335755327906441, 0.1522216129572674, 0.14710388465585253, 0.11462470629386863, 0.2166313830825653, 0.2725008031352196, -0.0399183837537056, 0.04366892753446947, 0.22222297774255392, 0.1815314050080412, 0.1666054234779741, -0.2153488446158225, 0.08431678609482351, 0.1555423942389921] |
711.2168 | Zero-bias conductance in carbon nanotube quantum dots | We present numerical renormalization group calculations for the zero-bias
conductance of quantum dots made from semiconducting carbon nanotubes. These
explain and reproduce the thermal evolution of the conductance for different
groups of orbitals, as the dot-lead tunnel coupling is varied and the system
evolves from correlated Kondo behavior to more weakly correlated regimes. For
integer fillings $N=1,2,3$ of an SU(4) model, we find universal scaling
behavior of the conductance that is distinct from the standard SU(2) universal
conductance, and concurs quantitatively with experiment. Our results also agree
qualitatively with experimental differential conductance maps.
| cond-mat.mes-hall cond-mat.str-el | we present numerical renormalization group calculations for the zerobias conductance of quantum dots made from semiconducting carbon nanotubes these explain and reproduce the thermal evolution of the conductance for different groups of orbitals as the dotlead tunnel coupling is varied and the system evolves from correlated kondo behavior to more weakly correlated regimes for integer fillings n123 of an su4 model we find universal scaling behavior of the conductance that is distinct from the standard su2 universal conductance and concurs quantitatively with experiment our results also agree qualitatively with experimental differential conductance maps | [['we', 'present', 'numerical', 'renormalization', 'group', 'calculations', 'for', 'the', 'zerobias', 'conductance', 'of', 'quantum', 'dots', 'made', 'from', 'semiconducting', 'carbon', 'nanotubes', 'these', 'explain', 'and', 'reproduce', 'the', 'thermal', 'evolution', 'of', 'the', 'conductance', 'for', 'different', 'groups', 'of', 'orbitals', 'as', 'the', 'dotlead', 'tunnel', 'coupling', 'is', 'varied', 'and', 'the', 'system', 'evolves', 'from', 'correlated', 'kondo', 'behavior', 'to', 'more', 'weakly', 'correlated', 'regimes', 'for', 'integer', 'fillings', 'n123', 'of', 'an', 'su4', 'model', 'we', 'find', 'universal', 'scaling', 'behavior', 'of', 'the', 'conductance', 'that', 'is', 'distinct', 'from', 'the', 'standard', 'su2', 'universal', 'conductance', 'and', 'concurs', 'quantitatively', 'with', 'experiment', 'our', 'results', 'also', 'agree', 'qualitatively', 'with', 'experimental', 'differential', 'conductance', 'maps']] | [-0.15309937751816927, 0.16662054619221742, -0.09248983217102866, 0.04479757614523893, 0.028753750031233153, -0.24621995343195816, 0.03579458726509925, 0.38380955761769203, -0.26338624291282187, -0.28312317226883227, -0.06488042423922208, -0.36061312887136654, -0.18053512855519613, 0.21379623753369176, 0.025200658467828586, 0.02554171720659861, 0.03606605910325563, -0.03206291512626233, -0.09120827296157918, -0.21579611296039475, 0.3089152003928859, -0.01125031829466142, 0.2732372090160366, 0.08195152337993344, 0.007989611151197585, -0.05020602684097505, 0.09778540726670976, 0.07063587100441587, -0.16770274323570575, 0.022480146603919164, 0.2644438632521077, -0.13207397240424348, 0.09624341181329181, -0.4374312160396448, -0.14536301751611053, -0.016332337287284674, 0.14989141612163476, 0.1398361599979101, -0.02299476967156259, -0.3030839254578916, 0.04155370486920239, -0.1560864715100897, -0.09432745830566493, -0.10288590133710894, 0.0034234911173341735, -0.014431772603382987, -0.24347461507685722, 0.13910348167090916, -0.02817202215233157, 0.06960048481453679, -0.03478510986252498, -0.15688762845226153, -0.059898100285139935, 0.13954826832438508, 0.03940383009287098, -0.03640197364172788, 0.21050301058998994, -0.11500869937972115, -0.14585455361333105, 0.32834215564853564, -0.08931752805778335, -0.08450994029721265, 0.17161113448360915, -0.19917080218913735, -0.12419603198205911, 0.13461105240088317, 0.04877913607564825, 0.05692335682851012, -0.11182377576297249, 0.08426970242765502, -0.06839115395941721, 0.170987198840306, -0.004232923490225628, 0.05983037673818168, 0.21300560792767873, 0.180647303450412, 0.025721135874709453, 0.10169723044870602, -0.06812320539467437, -0.12241163565426745, -0.29912997586201995, -0.12881082084821036, -0.18397631054563868, 0.1268532789707865, -0.09387200698710262, -0.19008412378619835, 0.4301492638124894, 0.1728489485278886, 0.23413671330819208, 0.08046262697266635, 0.2227030495051495, 0.154743474632782, 0.0469434622835408, -0.010046482747120241, 0.18685942913295442, 0.20378255554705219, 0.0714898838070772, -0.3666288793332354, 0.027797008288763865, -0.00551068080308777] |
711.2169 | The Key Renewal Theorem for a Transient Markov Chain | We consider a time-homogeneous Markov chain $X_n$, $n\ge0$, valued in ${\bf
R}$. Suppose that this chain is transient, that is, $X_n$ generates a
$\sigma$-finite renewal measure. We prove the key renewal theorem under
condition that this chain has asymptotically homogeneous at infinity jumps and
asymptotically positive drift.
| math.PR | we consider a timehomogeneous markov chain x_n nge0 valued in bf r suppose that this chain is transient that is x_n generates a sigmafinite renewal measure we prove the key renewal theorem under condition that this chain has asymptotically homogeneous at infinity jumps and asymptotically positive drift | [['we', 'consider', 'a', 'timehomogeneous', 'markov', 'chain', 'x_n', 'nge0', 'valued', 'in', 'bf', 'r', 'suppose', 'that', 'this', 'chain', 'is', 'transient', 'that', 'is', 'x_n', 'generates', 'a', 'sigmafinite', 'renewal', 'measure', 'we', 'prove', 'the', 'key', 'renewal', 'theorem', 'under', 'condition', 'that', 'this', 'chain', 'has', 'asymptotically', 'homogeneous', 'at', 'infinity', 'jumps', 'and', 'asymptotically', 'positive', 'drift']] | [-0.22389658008939883, 0.21644427911675673, -0.11863557325596823, 0.05584556569761418, -0.022672558441124063, -0.24434465191703528, -0.0008884610687481596, 0.4144033309706348, -0.3313000964674544, -0.006402192008186211, 0.1452792652937128, -0.26784911969716246, -0.10563679644837976, 0.10286026222116136, -0.11609174899182263, 0.0031797017585089866, 0.05657053851098952, 0.1090430856305868, 0.03934415429335167, -0.23800454550779404, 0.28536070943710967, -0.019140443249427257, 0.2843210004032292, -0.05019597017250836, 0.23476871779371805, 0.07179938184414456, 0.014632553179213342, -0.04244624117904521, -0.2643088805165694, -0.03046706715162764, 0.27023152036077164, 0.08015737186701215, 0.3295554798492726, -0.33781153001287517, -0.1461065903187115, 0.27147109854094525, 0.1514093720532478, 0.010258624904808845, -0.022068920966356674, -0.2867059649384402, 0.1440168187824732, -0.13726694699614606, -0.1889843812529394, -0.019005790917559506, 0.08113989317195212, 0.06405427104773674, -0.3986892365513647, 0.035336367825561384, 0.19186136784388663, 0.04998057815147207, 0.006698392618923111, -0.05838093238862905, 0.003671605085478501, 0.010361854799408862, 0.06779531720391613, 0.04556595462503189, 0.13273601065033136, 0.1012579292712852, -0.10712116342434223, 0.22158659360510238, -0.1532334879392441, -0.2850937970141147, 0.098499507276698, -0.2323809074673881, -0.2519599887284827, 0.11225054401686375, 0.07275350710892296, 0.1402612811628174, -0.16277531413559584, 0.2481435590827382, -0.139515960787205, 0.09640264911378951, 0.0789636617050843, -0.05035375889905907, 0.1531061499201237, 0.09721770292108363, 0.2264752997818621, 0.19072654797755023, -0.01833978127886323, -0.1559496185187488, -0.37974234131422446, -0.17751166006510563, -0.22124955054134765, 0.28556190343930365, -0.14970332774441403, -0.24687565958246271, 0.25655271641989336, 0.14224049123567192, 0.1382416099349552, 0.22911237176269927, 0.12574428959967607, 0.1683891734227221, -0.1078686809261389, 0.11679642878849297, -0.03600362290013978, 0.20764728809924834, 0.07623842536927537, -0.12981235854169157, 0.14494956746459642, 0.12664964683155747] |
711.217 | Summary of GR18 Numerical Relativity parallel sessions (B1/B2 and B2),
Sydney, 8-13 July 2007 | The numerical relativity session at GR18 was dominated by physics results on
binary black hole mergers. Several groups can now simulate these from a time
when the post-Newtonian equations of motion are still applicable, through
several orbits and the merger to the ringdown phase, obtaining plausible
gravitational waves at infinity, and showing some evidence of convergence with
resolution. The results of different groups roughly agree. This new-won
confidence has been used by these groups to begin mapping out the
(finite-dimensional) initial data space of the problem, with a particular focus
on the effect of black hole spins, and the acceleration by gravitational wave
recoil to hundreds of km/s of the final merged black hole. Other work was
presented on a variety of topics, such as evolutions with matter, extreme mass
ratio inspirals, and technical issues such as gauge choices.
| gr-qc | the numerical relativity session at gr18 was dominated by physics results on binary black hole mergers several groups can now simulate these from a time when the postnewtonian equations of motion are still applicable through several orbits and the merger to the ringdown phase obtaining plausible gravitational waves at infinity and showing some evidence of convergence with resolution the results of different groups roughly agree this newwon confidence has been used by these groups to begin mapping out the finitedimensional initial data space of the problem with a particular focus on the effect of black hole spins and the acceleration by gravitational wave recoil to hundreds of kms of the final merged black hole other work was presented on a variety of topics such as evolutions with matter extreme mass ratio inspirals and technical issues such as gauge choices | [['the', 'numerical', 'relativity', 'session', 'at', 'gr18', 'was', 'dominated', 'by', 'physics', 'results', 'on', 'binary', 'black', 'hole', 'mergers', 'several', 'groups', 'can', 'now', 'simulate', 'these', 'from', 'a', 'time', 'when', 'the', 'postnewtonian', 'equations', 'of', 'motion', 'are', 'still', 'applicable', 'through', 'several', 'orbits', 'and', 'the', 'merger', 'to', 'the', 'ringdown', 'phase', 'obtaining', 'plausible', 'gravitational', 'waves', 'at', 'infinity', 'and', 'showing', 'some', 'evidence', 'of', 'convergence', 'with', 'resolution', 'the', 'results', 'of', 'different', 'groups', 'roughly', 'agree', 'this', 'newwon', 'confidence', 'has', 'been', 'used', 'by', 'these', 'groups', 'to', 'begin', 'mapping', 'out', 'the', 'finitedimensional', 'initial', 'data', 'space', 'of', 'the', 'problem', 'with', 'a', 'particular', 'focus', 'on', 'the', 'effect', 'of', 'black', 'hole', 'spins', 'and', 'the', 'acceleration', 'by', 'gravitational', 'wave', 'recoil', 'to', 'hundreds', 'of', 'kms', 'of', 'the', 'final', 'merged', 'black', 'hole', 'other', 'work', 'was', 'presented', 'on', 'a', 'variety', 'of', 'topics', 'such', 'as', 'evolutions', 'with', 'matter', 'extreme', 'mass', 'ratio', 'inspirals', 'and', 'technical', 'issues', 'such', 'as', 'gauge', 'choices']] | [-0.11844158435349156, 0.11963779834119508, -0.07458915595087583, 0.10630214797166332, -0.08684520752434313, -0.08504948214063571, 0.00027436180461714736, 0.34721901514873343, -0.19097832672936965, -0.33998230747525054, 0.12598135984285197, -0.286348362140575, -0.06637355887303877, 0.2658343436264426, -0.020788725900606517, 0.07681356110086623, 0.09306917982311906, 0.021968153438761993, -0.11404473078267201, -0.27105047111229524, 0.372523327041855, 0.08096743254058987, 0.17366742459635665, -0.027842510151710822, 0.11473256154759127, -0.012966039522557798, -0.037243018973700324, 0.020034169953063227, -0.1349194255354984, 0.03067723142763219, 0.269758661869016, 0.13655030072231633, 0.2618685559791098, -0.4013755879208554, -0.22824421492031347, 0.029169653678299302, 0.14431070378322128, 0.1554981169195669, -0.10178896762943915, -0.3245540835604031, 0.050027117646387675, -0.2366186431643084, -0.11421319031765018, -0.02703816663936107, 0.045547714201991794, 0.035899515086988895, -0.18215282298760474, 0.09770852444951769, 0.04407738785456567, -0.04117275157222783, -0.07082231524298443, -0.0839609061189363, -0.03268580134604534, 0.10271526959722176, 0.13422486742101883, 0.036773155694895414, 0.16609873615857892, -0.08244061262183652, -0.13704674705237585, 0.4145788949961862, -0.027083095905785688, -0.15875782430117583, 0.24294227579384226, -0.23073965513969968, -0.1564830368602254, 0.1521325075495852, 0.17598237053756297, 0.1461056352994085, -0.12252454437117048, 0.04674175744502377, 0.02544898936793932, 0.1527889388652491, 0.12859327047995298, 0.018117613313774015, 0.34782892926494136, 0.13904573770756595, 0.00561203723297502, 0.07835199437350591, -0.08011134436530788, -0.047595913753076625, -0.2918840813362142, -0.08657296404691182, -0.13672501140658194, 0.07355835511088694, -0.1384435847234219, -0.10957259360707644, 0.3493676290126776, 0.11739967585656874, 0.17521918327785538, 0.037146719084223255, 0.2580490361246532, 0.06002227660186969, 0.011594692183943996, 0.05745471301862467, 0.30505327227543255, 0.15336903998199986, 0.07623190158148752, -0.2096680514310507, 0.005064223219987249, 0.0647590947779317] |
711.2171 | The Bologna Open Clusters Chemical Evolution project (in short: BOCCE) | I present here our project, the Bologna Open Clusters Chemical Evolution
(BOCCE) project, aimed at using Open Clusters as tracers of the disk properties
and their evolution with time. We are collecting and homogeneously analyzing
data, both photometric and spectroscopic, on a large sample of open clusters,
representative of the old cluster population, and I show here results obtained
on a subset of our clusters.
| astro-ph | i present here our project the bologna open clusters chemical evolution bocce project aimed at using open clusters as tracers of the disk properties and their evolution with time we are collecting and homogeneously analyzing data both photometric and spectroscopic on a large sample of open clusters representative of the old cluster population and i show here results obtained on a subset of our clusters | [['i', 'present', 'here', 'our', 'project', 'the', 'bologna', 'open', 'clusters', 'chemical', 'evolution', 'bocce', 'project', 'aimed', 'at', 'using', 'open', 'clusters', 'as', 'tracers', 'of', 'the', 'disk', 'properties', 'and', 'their', 'evolution', 'with', 'time', 'we', 'are', 'collecting', 'and', 'homogeneously', 'analyzing', 'data', 'both', 'photometric', 'and', 'spectroscopic', 'on', 'a', 'large', 'sample', 'of', 'open', 'clusters', 'representative', 'of', 'the', 'old', 'cluster', 'population', 'and', 'i', 'show', 'here', 'results', 'obtained', 'on', 'a', 'subset', 'of', 'our', 'clusters']] | [-0.04791341820158637, 0.0737982128890088, -0.09330653755280834, 0.038976867405626066, -0.03180044756199305, -0.007114327512681484, 0.12107139725882847, 0.4157708041943037, -0.21783526433775058, -0.37460857652700863, 0.1481676537758456, -0.31448387201481426, -0.031757422051249214, 0.2056398753076792, 0.02593060590040225, -0.00530799081405768, 0.14500363978485648, -0.09013968207515204, 0.03591241028446417, -0.3368009177538065, 0.36367030324271093, 0.04343964821444108, 0.18278009134989517, -0.05897748034017591, 0.06398152417610757, -0.06417024729486842, -0.14732908938939754, 0.056170458554361875, -0.1745324463153688, 0.11193102162976104, 0.22814213912575865, 0.19027490898107108, 0.2502274907194078, -0.366243664074416, -0.15708335019433153, -0.010193376185802313, 0.19555766333897526, 0.11253475567254309, -0.1509300017872682, -0.3062298258336691, 0.06835368699752367, -0.09935162223588961, -0.19206967883958267, 0.004798613474346124, 0.055666430265857623, 0.08437333309019987, -0.15716255084486105, 0.09399120120618205, -0.03880806201352523, 0.13654571603267238, -0.13154730712994933, -0.16579878934873984, -0.006231533621366208, 0.18943335512796275, -0.08664042061338058, 0.04477647368151408, 0.13949291832888355, -0.10783803477310218, -0.029702684254600452, 0.37548721796618056, -0.04007115093991161, -0.03850082339575658, 0.25612891700405344, -0.18514188922798405, -0.22602560294505494, -0.010318752012860316, 0.1989523496872817, 0.11825247596089657, -0.23535359427332878, 0.07530626355527112, -0.043533181549551395, 0.17762673432902934, -0.027008101981706344, 0.04499025122047617, 0.25625991133543163, 0.22278483028595264, -0.00868194792419672, 0.12942291161833475, -0.1514459420210467, -0.04495878862933471, -0.26678107489760106, -0.1025536042279922, -0.13924918919801713, 0.07952703259025629, -0.06758810465062896, -0.15561167947374857, 0.3719357872811648, 0.1035379953825703, 0.20181863038227535, 0.05789627942184989, 0.23076182403243506, -0.03317850750620262, 0.07863383427477227, 0.12003709083566298, 0.15605579354585364, 0.10699926566046018, 0.0780560509659923, -0.2695814803815805, 0.019724711037885683, -0.04465785568508391] |
711.2172 | Finite Element simulation of radiation losses in photonic crystal fibers | In our work we focus on the accurate computation of light propagation in
finite size photonic crystal structures with the finite element method (FEM).
We discuss how we utilize numerical concepts like high-order finite elements,
transparent boundary conditions and goal-oriented error estimators for adaptive
grid refinement in order to compute radiation leakage in photonic crystal
fibers and waveguides. Due to the fast convergence of our method we can use it
e.g. to optimize the design of photonic crystal structures with respect to
geometrical parameters, to minimize radiation losses and to compute
attenutation spectra for different geometries.
| physics.optics | in our work we focus on the accurate computation of light propagation in finite size photonic crystal structures with the finite element method fem we discuss how we utilize numerical concepts like highorder finite elements transparent boundary conditions and goaloriented error estimators for adaptive grid refinement in order to compute radiation leakage in photonic crystal fibers and waveguides due to the fast convergence of our method we can use it eg to optimize the design of photonic crystal structures with respect to geometrical parameters to minimize radiation losses and to compute attenutation spectra for different geometries | [['in', 'our', 'work', 'we', 'focus', 'on', 'the', 'accurate', 'computation', 'of', 'light', 'propagation', 'in', 'finite', 'size', 'photonic', 'crystal', 'structures', 'with', 'the', 'finite', 'element', 'method', 'fem', 'we', 'discuss', 'how', 'we', 'utilize', 'numerical', 'concepts', 'like', 'highorder', 'finite', 'elements', 'transparent', 'boundary', 'conditions', 'and', 'goaloriented', 'error', 'estimators', 'for', 'adaptive', 'grid', 'refinement', 'in', 'order', 'to', 'compute', 'radiation', 'leakage', 'in', 'photonic', 'crystal', 'fibers', 'and', 'waveguides', 'due', 'to', 'the', 'fast', 'convergence', 'of', 'our', 'method', 'we', 'can', 'use', 'it', 'eg', 'to', 'optimize', 'the', 'design', 'of', 'photonic', 'crystal', 'structures', 'with', 'respect', 'to', 'geometrical', 'parameters', 'to', 'minimize', 'radiation', 'losses', 'and', 'to', 'compute', 'attenutation', 'spectra', 'for', 'different', 'geometries']] | [-0.057652580806691396, 0.09684678382289252, -0.07251452208545647, 0.019066317232423708, -0.10703317776665483, -0.11988434458249493, 0.03160311322855322, 0.5094188340400395, -0.2776881001644621, -0.2840271839951655, 0.09142055904835855, -0.2623781729048412, -0.12276386853895689, 0.2132850633866742, -0.09600680110161193, 0.12096951919558802, 0.045756393185767685, -0.07640497439393872, -0.10876726426772382, -0.20858836625457594, 0.2887504136459412, 0.07124917395412922, 0.33304337423882985, 0.038309868309940945, 0.09877575290585427, 0.0008678168744633072, -0.030369927131227756, 0.002886445643870454, -0.17054531927661676, 0.1491058146532037, 0.26972962138978274, 0.03282391395860989, 0.25101990479191666, -0.4798714435708366, -0.22196098945446704, 0.07559460663653322, 0.1250870192060431, 0.15279683369260869, -0.05718912349303106, -0.2045423479187057, 0.11469174419578752, -0.14388907960567035, -0.15550744915871242, -0.11903481581493427, -0.07277505040095236, 0.042016143292972916, -0.25111651717636146, -0.030809244533118448, -0.007126067500365408, 0.04280214897896114, -0.03223177010536586, -0.05952383514591738, 0.017707865641109252, 0.0905714454619508, -0.03845364434007359, -0.0707186594360361, 0.114678049126738, -0.06764657122916297, -0.10981098745067261, 0.4177283396650302, -0.04746900136263943, -0.2581685075242268, 0.15922509720058817, -0.12325143790650672, -0.053138267092014614, 0.14481800267178763, 0.27268735542709593, 0.11534937605948041, -0.05503350782551263, 0.031164382165910578, 0.06515790212433785, 0.17850850260767498, 0.072990171628465, 0.07981316930565395, 0.12060367331693048, 0.17003216238594368, 0.07424795253104285, 0.17011975820519423, -0.08138447946035549, -0.05779743072037634, -0.3076914065076332, -0.17281720592306413, -0.18007531656246437, -0.029962144483272966, -0.13592928616088007, -0.2445575893709534, 0.3828447372995709, 0.19455841794904125, 0.11515986240027766, 0.02162536929704641, 0.3317991931971751, 0.08132154942294093, 0.08814402933379537, 0.07058746851980686, 0.22349128697655704, 0.1767087917578848, 0.07538179426306957, -0.29333439286994306, 0.008366574244083543, 0.07503291276332578] |
711.2173 | Statistical ensemble equivalence problem | A problem of the equivalence of statistical ensembles is critically analyzed.
It is shown, that although different probability distributions of statistical
physics have the same behavior in the thermodynamic limit, there are physical
observables -- semi-intensive variables -- which keep memory of the underlying
ensembles. This property is an universal one and can be observed even in the
simplest case of the grand canonical and canonical ensembles of the classical
statistical physics.
| hep-th cond-mat.stat-mech | a problem of the equivalence of statistical ensembles is critically analyzed it is shown that although different probability distributions of statistical physics have the same behavior in the thermodynamic limit there are physical observables semiintensive variables which keep memory of the underlying ensembles this property is an universal one and can be observed even in the simplest case of the grand canonical and canonical ensembles of the classical statistical physics | [['a', 'problem', 'of', 'the', 'equivalence', 'of', 'statistical', 'ensembles', 'is', 'critically', 'analyzed', 'it', 'is', 'shown', 'that', 'although', 'different', 'probability', 'distributions', 'of', 'statistical', 'physics', 'have', 'the', 'same', 'behavior', 'in', 'the', 'thermodynamic', 'limit', 'there', 'are', 'physical', 'observables', 'semiintensive', 'variables', 'which', 'keep', 'memory', 'of', 'the', 'underlying', 'ensembles', 'this', 'property', 'is', 'an', 'universal', 'one', 'and', 'can', 'be', 'observed', 'even', 'in', 'the', 'simplest', 'case', 'of', 'the', 'grand', 'canonical', 'and', 'canonical', 'ensembles', 'of', 'the', 'classical', 'statistical', 'physics']] | [-0.08995295456185451, 0.17769353766103133, -0.14768439207388007, 0.14704723163858813, 0.034046845537596855, -0.11919112848387896, 0.011979164933596832, 0.3113800374170144, -0.28824769198030664, -0.2826461508411212, 0.06623775065046451, -0.24621398690278115, -0.1261195842500614, 0.15699289350405984, -0.04559226510236445, 0.1022657207145855, 0.03301594336854591, 0.09033518642241108, -0.10390858822569683, -0.23944285372947005, 0.30998966491619206, 0.08196171751056892, 0.3240197518759448, -0.013348582180459862, 0.09754723956997412, -0.041766636181568756, 0.020380345726574677, 0.037748114840276, -0.0744761540897172, 0.07383950237366978, 0.21810139785183297, 0.15922089542626686, 0.24028837258347135, -0.38032324523057626, -0.23079403422340966, 0.1672395808298303, 0.09544909643549201, 0.08807206146277326, 0.011791920721314955, -0.19312435527251143, 0.04965167491911047, -0.1363559623815767, -0.1321612664943804, -0.08489355862653558, 0.020764077298235203, 0.028198720384524135, -0.22780849331099054, 0.08028557256835958, 0.10200526889926498, 0.067500915877737, 0.010018717980120277, -0.11998309163997571, 0.016315753450212273, 0.14710740655309695, 0.059083016579160874, -0.02227014827582499, 0.14676562849891142, -0.14269404197989058, -0.12324423114330495, 0.4325271129500175, 0.027200329198461513, -0.22193367606487827, 0.2047535467730916, -0.1659720778816204, -0.21213748573959954, 0.05194772662851366, 0.08736920082415252, 0.08628579675881327, -0.20381249808638857, 0.14194943158435164, -0.07650702087667541, 0.16326423251218553, 0.021218457333473623, 0.0705776584226692, 0.2251421828430308, 0.15695320259091322, -0.006806223082990534, 0.12107424144261936, -0.0417100262315269, -0.21218375796857086, -0.30890383352727996, -0.13769379258155823, -0.20462954325088556, 0.08909026282987949, -0.10610648779075363, -0.18450372581213267, 0.37973182875177136, 0.16217501958126904, 0.1999112389360865, 0.04078905606824581, 0.23103563303964725, 0.13822723927475727, 0.03955212749702775, 0.044152752465932914, 0.28962586852519406, 0.1597946384732706, 0.04740679276385007, -0.19675838725938313, 0.07085277022712905, 0.037559413661559425] |
711.2174 | Distribution Amplitudes of Vector Mesons | Results are presented for the lowest moment of the distribution amplitude for
the K-star vector meson. Both longitudinal and transverse moments are
investigated. We use two flavours of O(a) improved Wilson fermions, together
with a non-perturbative renormalisation of the matrix element.
| hep-lat | results are presented for the lowest moment of the distribution amplitude for the kstar vector meson both longitudinal and transverse moments are investigated we use two flavours of oa improved wilson fermions together with a nonperturbative renormalisation of the matrix element | [['results', 'are', 'presented', 'for', 'the', 'lowest', 'moment', 'of', 'the', 'distribution', 'amplitude', 'for', 'the', 'kstar', 'vector', 'meson', 'both', 'longitudinal', 'and', 'transverse', 'moments', 'are', 'investigated', 'we', 'use', 'two', 'flavours', 'of', 'oa', 'improved', 'wilson', 'fermions', 'together', 'with', 'a', 'nonperturbative', 'renormalisation', 'of', 'the', 'matrix', 'element']] | [-0.15906095852303068, 0.2860031026392812, -0.0655653620956511, 0.09725468269572025, -0.0362221174305532, -0.06652248804116757, 0.03849998624887454, 0.41834714009267526, -0.11429907267958653, -0.20322380178585286, 0.06306925279701628, -0.3186746795729893, -0.02261699503287673, 0.12779987876008198, 0.08008285330199613, 0.12373662931935453, 0.09121698448320896, 0.040391639170305034, -0.10702509899828129, -0.2175340246204741, 0.3420882158253978, -0.04340865376700715, 0.2934266911683286, 0.12380570627567244, 0.05979660554311988, 0.05086206133965766, -0.10137534386864523, -0.004875347040957067, -0.034726519183051294, 0.10419609548137863, 0.15188987273722887, -0.002431804359686084, 0.13088646140403865, -0.3670013081736681, -0.14744031545138214, 0.0030221126224027903, 0.1696921937712809, 0.09375287958125515, -0.03636693256543722, -0.26614186176803056, 0.09685786488670402, -0.17177129275642516, -0.19955300757797753, -0.1354893463516108, -0.04525184538215399, -0.013470042973938511, -0.37414493022213985, 0.0695670461509286, -0.07142755434643931, 0.10639325649727409, -0.007538551998483699, -0.295089405756898, -0.0009686321974164102, 0.14527003384172554, 0.14113075630285027, 0.06765516447584803, 0.07041015119359988, -0.1570441400044507, -0.12654794026847657, 0.3595748272065709, -0.11738440471633178, -0.23623762695436798, 0.0890296130304838, -0.19954708252647302, -0.15294765780975178, 0.09441297507909462, 0.18378783928843714, 0.06470507910338844, -0.1656757724448675, 0.08808191954129853, -0.03468798564338103, 0.1229150219843155, 0.0433744685213286, 0.018665346867836465, 0.15951299658272325, 0.087669136888552, -0.033011711134416304, 0.0671064999556487, -0.07516981974789282, -0.10173068202395992, -0.34850837999000783, -0.13481159401466933, -0.15249192992952176, 0.016215712195489465, -0.14172751980048615, -0.1743640840257995, 0.46602840667090767, 0.10382820492295872, 0.1856144437361963, 0.02948029640289705, 0.264046582734076, 0.15733596396337196, 0.05731423087304503, 0.06822036202747102, 0.24462710110834096, 0.2410042423573209, 0.1090634015968024, -0.32990101129725213, -0.07519035797747897, 0.16387316916228795] |
711.2175 | Transition in pipe flow: the saddle structure on the boundary of
turbulence | The laminar-turbulent boundary S is the set separating initial conditions
which relaminarise uneventfully from those which become turbulent. Phase space
trajectories on this hypersurface in cylindrical pipe flow look to be chaotic
and show recurring evidence of coherent structures. A general numerical
technique is developed for recognising approaches to these structures and then
for identifying the exact coherent solutions themselves. Numerical evidence is
presented which suggests that trajectories on S are organised around only a few
travelling waves and their heteroclinic connections. If the flow is suitably
constrained to a subspace with a discrete rotational symmetry, it is possible
to find locally-attracting travelling waves embedded within S. Four new types
of travelling waves were found using this approach.
| physics.flu-dyn | the laminarturbulent boundary s is the set separating initial conditions which relaminarise uneventfully from those which become turbulent phase space trajectories on this hypersurface in cylindrical pipe flow look to be chaotic and show recurring evidence of coherent structures a general numerical technique is developed for recognising approaches to these structures and then for identifying the exact coherent solutions themselves numerical evidence is presented which suggests that trajectories on s are organised around only a few travelling waves and their heteroclinic connections if the flow is suitably constrained to a subspace with a discrete rotational symmetry it is possible to find locallyattracting travelling waves embedded within s four new types of travelling waves were found using this approach | [['the', 'laminarturbulent', 'boundary', 's', 'is', 'the', 'set', 'separating', 'initial', 'conditions', 'which', 'relaminarise', 'uneventfully', 'from', 'those', 'which', 'become', 'turbulent', 'phase', 'space', 'trajectories', 'on', 'this', 'hypersurface', 'in', 'cylindrical', 'pipe', 'flow', 'look', 'to', 'be', 'chaotic', 'and', 'show', 'recurring', 'evidence', 'of', 'coherent', 'structures', 'a', 'general', 'numerical', 'technique', 'is', 'developed', 'for', 'recognising', 'approaches', 'to', 'these', 'structures', 'and', 'then', 'for', 'identifying', 'the', 'exact', 'coherent', 'solutions', 'themselves', 'numerical', 'evidence', 'is', 'presented', 'which', 'suggests', 'that', 'trajectories', 'on', 's', 'are', 'organised', 'around', 'only', 'a', 'few', 'travelling', 'waves', 'and', 'their', 'heteroclinic', 'connections', 'if', 'the', 'flow', 'is', 'suitably', 'constrained', 'to', 'a', 'subspace', 'with', 'a', 'discrete', 'rotational', 'symmetry', 'it', 'is', 'possible', 'to', 'find', 'locallyattracting', 'travelling', 'waves', 'embedded', 'within', 's', 'four', 'new', 'types', 'of', 'travelling', 'waves', 'were', 'found', 'using', 'this', 'approach']] | [-0.19504295524371706, 0.15626551880015302, -0.11551454613066238, 0.07549489479329761, -0.08976428706968284, -0.1346674763880994, -0.0033258067848889726, 0.365925577590647, -0.29458870886136657, -0.257790556639109, 0.13189563513429756, -0.25227812211960554, -0.15934310802461013, 0.20606116712822214, 0.005972025598115895, 0.06642331000336486, 0.0940754017367473, 0.019105433571435834, -0.03663961566913792, -0.15695374339980925, 0.31096576203632614, -0.029072699728219405, 0.25315617214402425, -0.01047430866525721, 0.08872458645517169, -0.08696535248157528, -0.011226125498828681, 0.05536981325004371, -0.14544458719933376, 0.10093059362033786, 0.23609480337320787, 0.111525709040301, 0.2363364903681466, -0.4520660681407089, -0.26216018105168704, 0.07927464793800659, 0.15334484121286432, 0.1544227133312708, -0.04157484505204079, -0.32916289852203234, 0.1143422256588288, -0.093139538201301, -0.16003085230629, -0.06463240712233212, 0.06308697125186091, 0.02720627235653608, -0.23782361311757047, 0.05554046543396038, 0.043560422752457466, 0.050381132770005776, -0.07099791713787809, -0.02650715408178613, -0.07803007059163697, 0.07206238057342884, 0.06435911179034283, 0.03360117475056778, 0.08799372458445799, -0.07680647107165145, -0.0729328945653675, 0.37286911733934414, 0.0010785670465101366, -0.22583582262792018, 0.23915523829181556, -0.12988163091080343, -0.09698435262898387, 0.19991451824164908, 0.1677802598144373, 0.1428160018409076, -0.12344358115173552, 0.01823484978446251, -0.07687290128745625, 0.13844525183490275, 0.13351717051725998, -0.03065762462489226, 0.24376936437481123, 0.1484891371153619, 0.09230277506006962, 0.10588597697914456, -0.0782485186719619, -0.1118092630428019, -0.3250521332511435, -0.1101620464373137, -0.11079349622697286, 0.027165545903794143, -0.038120458829444426, -0.18919025198758943, 0.40274203295374045, 0.07513921024358791, 0.19123956613728535, 0.010482632177476974, 0.2549529781139901, 0.0867285898553825, 0.01335471514409975, 0.15142189830784564, 0.2411088557994884, 0.11336535198168586, 0.070270036233832, -0.16875586698601103, 0.014356226034705405, 0.07790178397123743] |
711.2176 | Modelling Complex Networks: Cameo Graphs And Transport Processes | We discuss a model accounting for the creation and development of transport
networks based on the Cameo principle which refers to the idea of distribution
of resources, including land, water, minerals, fuel and wealth. We also give an
outlook of the use of random walks as an effective tool for the investigation
of network structures and its functional segmentation. In particular, we have
studied the complex transport network of Venetian canals by means of random
walks.
| physics.soc-ph physics.data-an | we discuss a model accounting for the creation and development of transport networks based on the cameo principle which refers to the idea of distribution of resources including land water minerals fuel and wealth we also give an outlook of the use of random walks as an effective tool for the investigation of network structures and its functional segmentation in particular we have studied the complex transport network of venetian canals by means of random walks | [['we', 'discuss', 'a', 'model', 'accounting', 'for', 'the', 'creation', 'and', 'development', 'of', 'transport', 'networks', 'based', 'on', 'the', 'cameo', 'principle', 'which', 'refers', 'to', 'the', 'idea', 'of', 'distribution', 'of', 'resources', 'including', 'land', 'water', 'minerals', 'fuel', 'and', 'wealth', 'we', 'also', 'give', 'an', 'outlook', 'of', 'the', 'use', 'of', 'random', 'walks', 'as', 'an', 'effective', 'tool', 'for', 'the', 'investigation', 'of', 'network', 'structures', 'and', 'its', 'functional', 'segmentation', 'in', 'particular', 'we', 'have', 'studied', 'the', 'complex', 'transport', 'network', 'of', 'venetian', 'canals', 'by', 'means', 'of', 'random', 'walks']] | [-0.09386890707422649, 0.08807544564976859, -0.07846907000547569, 0.044611844411855076, -0.03556001894666176, -0.07788569634584219, 0.06081342142026283, 0.3851179833965082, -0.25972887064256756, -0.2882048374434051, 0.140505982971885, -0.24884569144342095, -0.20349798549432307, 0.20230935446881249, -0.036668751008906646, 0.0628385574389923, 0.040131991594343594, 0.006783401250447098, 0.022808277746662498, -0.21333578493795358, 0.31347068367329867, 0.07951150939946897, 0.30411315473151934, 0.10595513210558381, 0.12786000329805047, 0.04236539667717328, -0.06944769859240439, 0.009610473493873877, -0.13850403890185253, 0.19942375770647472, 0.1964950229984855, 0.14067587829930217, 0.27772236877660217, -0.4905627962005766, -0.2662135434373723, 0.10004901763443884, 0.0941168220627955, 0.10488012374691225, -0.061896922246026075, -0.28022253660387114, 0.033938963395102245, -0.1874069737831106, -0.12098731371684392, -0.08758893960743751, 0.016358729963509466, 0.07580097508616745, -0.22274901478943465, 0.041330692120123115, 0.058030885777521975, 0.0870688152254412, -0.060512619554126436, -0.11942771149149753, -0.015425212999903843, 0.1711849482533963, 0.002202586465404908, -0.03428689815643195, 0.15252855839207768, -0.17064650758402422, -0.15294040624959102, 0.4146264192501181, -0.05117082076092055, -0.15730554478757672, 0.1724245049408637, -0.07584072380498248, -0.14940387845088385, 0.06556509215825874, 0.2225698505920407, 0.10768170743616984, -0.18727462997929634, 0.032636178066911124, -0.04611353402173048, 0.07528706635103415, 0.013422299819802376, 0.041406693819322084, 0.19585497120983505, 0.26015461968735937, 0.0922786393930437, 0.1541295024247742, -0.1237734267334944, -0.10497143669789166, -0.22780887681476183, -0.20630146685595574, -0.17480074189064143, 0.05026501991884097, -0.10285811497325133, -0.2064183824756918, 0.40505817777624253, 0.16101628567680323, 0.16931375071994567, 0.04928845999376407, 0.23119238425830477, 0.0691443350775731, 0.047275977797414125, 0.061897830149207855, 0.1434551618723689, 0.14210108939962657, 0.11422268985035389, -0.17568274575138562, 0.11506728963975452, 0.04434983123103034] |
711.2177 | Emergent singular solutions of non-local density-magnetization equations
in one dimension | We investigate the emergence of singular solutions in a non-local model for a
magnetic system. We study a modified Gilbert-type equation for the
magnetization vector and find that the evolution depends strongly on the length
scales of the non-local effects. We pass to a coupled density-magnetization
model and perform a linear stability analysis, noting the effect of the length
scales of non-locality on the system's stability properties. We carry out
numerical simulations of the coupled system and find that singular solutions
emerge from smooth initial data. The singular solutions represent a collection
of interacting particles (clumpons). By restricting ourselves to the
two-clumpon case, we are reduced to a two-dimensional dynamical system that is
readily analyzed, and thus we classify the different clumpon interactions
possible.
| nlin.AO | we investigate the emergence of singular solutions in a nonlocal model for a magnetic system we study a modified gilberttype equation for the magnetization vector and find that the evolution depends strongly on the length scales of the nonlocal effects we pass to a coupled densitymagnetization model and perform a linear stability analysis noting the effect of the length scales of nonlocality on the systems stability properties we carry out numerical simulations of the coupled system and find that singular solutions emerge from smooth initial data the singular solutions represent a collection of interacting particles clumpons by restricting ourselves to the twoclumpon case we are reduced to a twodimensional dynamical system that is readily analyzed and thus we classify the different clumpon interactions possible | [['we', 'investigate', 'the', 'emergence', 'of', 'singular', 'solutions', 'in', 'a', 'nonlocal', 'model', 'for', 'a', 'magnetic', 'system', 'we', 'study', 'a', 'modified', 'gilberttype', 'equation', 'for', 'the', 'magnetization', 'vector', 'and', 'find', 'that', 'the', 'evolution', 'depends', 'strongly', 'on', 'the', 'length', 'scales', 'of', 'the', 'nonlocal', 'effects', 'we', 'pass', 'to', 'a', 'coupled', 'densitymagnetization', 'model', 'and', 'perform', 'a', 'linear', 'stability', 'analysis', 'noting', 'the', 'effect', 'of', 'the', 'length', 'scales', 'of', 'nonlocality', 'on', 'the', 'systems', 'stability', 'properties', 'we', 'carry', 'out', 'numerical', 'simulations', 'of', 'the', 'coupled', 'system', 'and', 'find', 'that', 'singular', 'solutions', 'emerge', 'from', 'smooth', 'initial', 'data', 'the', 'singular', 'solutions', 'represent', 'a', 'collection', 'of', 'interacting', 'particles', 'clumpons', 'by', 'restricting', 'ourselves', 'to', 'the', 'twoclumpon', 'case', 'we', 'are', 'reduced', 'to', 'a', 'twodimensional', 'dynamical', 'system', 'that', 'is', 'readily', 'analyzed', 'and', 'thus', 'we', 'classify', 'the', 'different', 'clumpon', 'interactions', 'possible']] | [-0.19144890494957692, 0.10007878951728344, -0.09697097874131101, 0.07193241295103422, -0.04630048159791642, -0.12016636605996701, 0.013474880522038756, 0.2907673545463496, -0.2850946206364687, -0.24098165890499323, 0.10543629309033364, -0.3126470167659411, -0.1558114658775074, 0.18428375558270252, 0.04642534350287639, 0.03846700952834442, 0.06957643512859471, 0.024940396160153405, -0.09106391393863243, -0.2178347605992766, 0.36940822682632996, 0.01458937318275581, 0.2494661636540995, 0.01816460962149025, 0.10242859244507056, -0.011390742417346654, -0.010760160890885261, 0.08552631227096089, -0.16095993661622765, 0.06500856947357289, 0.14664758629793645, 0.05532196191523005, 0.25019330556402686, -0.43951232526294826, -0.23872813139455157, 0.09842692994113479, 0.12892157188029724, 0.14347045143142717, -0.012600995821314825, -0.26270316138730515, 0.08137861108250853, -0.133571979791286, -0.18241805687718907, -0.10006446515781288, 0.0052727081053772894, 0.052479547743896855, -0.27536083715615656, 0.09526681456276599, 0.04925943385029971, 0.026618237066192225, -0.11010372506830246, -0.01594060371500761, -0.04814572670074383, 0.09739878422388916, 0.022245518514933456, -0.05057372527095262, 0.11465860807391651, -0.13767882885348773, -0.07519547727365955, 0.3712883747844104, -0.08195369860975213, -0.2557603265276226, 0.21411554071027003, -0.12192477799263321, -0.10942132579859253, 0.10294668181963704, 0.21673983980768494, 0.16025348490558, -0.11920106971253418, 0.08903737849469821, -0.05477048983374814, 0.1994376491692637, 0.012909743226595036, 0.02759795414456049, 0.2181241982968665, 0.1950140004594098, 0.03769299241972445, 0.16500993414993295, -0.061948399098605667, -0.1416461470213077, -0.30681801091159594, -0.12836367824748784, -0.14362297373033373, 0.07821728074786198, -0.07450795864653108, -0.1728240858622584, 0.4225896595656371, 0.19454581234134546, 0.19708924885338344, 0.03469827582965754, 0.2326275785336224, 0.12484676100924111, 0.05547477877033608, 0.04941641120924888, 0.2668514648186309, 0.11901921293103457, 0.0858487156728486, -0.28231746496969223, -0.008251124008816956, 0.045133105455702094] |
711.2178 | Angular Power Spectrum Estimation using High Performance Reconfigurable
Computing | Angular power spectra are an important measure of the angular clustering of a
given distribution. In Cosmology, they are applied to such vastly different
observations as galaxy surveys that cover a fraction of the sky and the Cosmic
Microwave Background that covers the entire sky, to obtain fundamental
parameters that determine the structure and evolution of the universe. The
calculation of an angular power spectrum, however, is complex and the
optimization of these calculations is a necessary consideration for current and
forthcoming observational surveys. In this work, we present preliminary results
of implementing angular power spectrum estimation scheme on a high-performance
reconfigurable computing platform.
| astro-ph | angular power spectra are an important measure of the angular clustering of a given distribution in cosmology they are applied to such vastly different observations as galaxy surveys that cover a fraction of the sky and the cosmic microwave background that covers the entire sky to obtain fundamental parameters that determine the structure and evolution of the universe the calculation of an angular power spectrum however is complex and the optimization of these calculations is a necessary consideration for current and forthcoming observational surveys in this work we present preliminary results of implementing angular power spectrum estimation scheme on a highperformance reconfigurable computing platform | [['angular', 'power', 'spectra', 'are', 'an', 'important', 'measure', 'of', 'the', 'angular', 'clustering', 'of', 'a', 'given', 'distribution', 'in', 'cosmology', 'they', 'are', 'applied', 'to', 'such', 'vastly', 'different', 'observations', 'as', 'galaxy', 'surveys', 'that', 'cover', 'a', 'fraction', 'of', 'the', 'sky', 'and', 'the', 'cosmic', 'microwave', 'background', 'that', 'covers', 'the', 'entire', 'sky', 'to', 'obtain', 'fundamental', 'parameters', 'that', 'determine', 'the', 'structure', 'and', 'evolution', 'of', 'the', 'universe', 'the', 'calculation', 'of', 'an', 'angular', 'power', 'spectrum', 'however', 'is', 'complex', 'and', 'the', 'optimization', 'of', 'these', 'calculations', 'is', 'a', 'necessary', 'consideration', 'for', 'current', 'and', 'forthcoming', 'observational', 'surveys', 'in', 'this', 'work', 'we', 'present', 'preliminary', 'results', 'of', 'implementing', 'angular', 'power', 'spectrum', 'estimation', 'scheme', 'on', 'a', 'highperformance', 'reconfigurable', 'computing', 'platform']] | [-0.14829975723002392, 0.06778237987740655, -0.10055819655938719, 0.05451977011622288, -0.09943928778207359, -0.03831263927993579, -0.023853125704380754, 0.3874722421169281, -0.2358462159620383, -0.33970695716113997, 0.10574156492993307, -0.26218104930880004, -0.0680296616628766, 0.26293334957489817, 0.0002148327946018141, 0.03950906204632842, 0.06865878614525382, -0.0636768365645996, -0.031786346739793844, -0.23192823513034874, 0.29869399128410107, 0.16587389091728255, 0.28520315289642895, 0.024007209639351528, 0.0940065551101445, -0.029055658445801012, -0.12522864527552605, 0.031931495786501236, -0.1723213447962385, 0.11390199352396078, 0.2649748028220179, 0.18981280657373226, 0.20520451045460783, -0.3473126088233235, -0.21263336329362714, 0.11397996687222846, 0.16446541161992803, 0.09484615968764186, -0.06453013991995249, -0.20983258478988248, 0.05514356046198653, -0.17442706911914194, -0.12940068894889778, -0.08372334728259236, 0.011791903279327717, 0.051644707379567154, -0.23294094476071991, 0.05456496673063017, 0.019181837865079824, 0.03537167508602579, -0.09054924392302592, -0.10613662144169211, 0.0022361911027334058, 0.13949741888343573, -0.014823538819865253, 0.030661321773480337, 0.14140021595477054, -0.17238061058406645, -0.07552680078571519, 0.4099004814365449, -0.04502993893737976, -0.13025225844019309, 0.10539756692910138, -0.18284346596696055, -0.19067084354957423, 0.08906151479011616, 0.2029427837271494, 0.08389481964807671, -0.15000868089499328, 0.08856008806525587, -0.00880751504491155, 0.1850262802103176, 0.018621168627690237, 0.07955778887410886, 0.28849760968856014, 0.1458963237147635, 0.10027205967792095, 0.08756635262286111, -0.15180056175225987, -0.040712689340580255, -0.29319940221746665, -0.10886956443741488, -0.21319903480784538, 0.07906976763087396, -0.10345088923294007, -0.15757236338238448, 0.4283376890314055, 0.14991170471498313, 0.20574429928540036, 0.05155879742680834, 0.37932427526594925, 0.08149171633816038, 0.0626214786685663, 0.03807538480927738, 0.25154578000701106, 0.12847383397008974, 0.12876255464932632, -0.20665946510136843, -0.0014485819041370773, -0.053958067625689395] |
711.2179 | Studies in the physics of evolution: creation, formation, destruction | The concept of (auto)catalytic systems has become a cornerstone in
understanding evolutionary processes in various fields. The common ground is
the observation that for the production of new species/goods/ideas/elements
etc. the pre-existence of specific other elements is a necessary condition. In
previous work some of us showed that the dynamics of the catalytic network
equation can be understood in terms of topological recurrence relations paving
a path towards the analytic tractability of notoriously high dimensional
evolution equations. We apply this philosophy to studies in socio-physics,
bio-diversity and massive events of creation and destruction in technological
and biological networks. Cascading events, triggered by small exogenous
fluctuations, lead to dynamics strongly resembling the qualitative picture of
Schumpeterian economic evolution. Further we show that this new methodology
allows to mathematically treat a variant of the threshold voter-model of
opinion formation on networks. For fixed topology we find distinct phases of
mixed opinions and consensus.
| q-bio.PE | the concept of autocatalytic systems has become a cornerstone in understanding evolutionary processes in various fields the common ground is the observation that for the production of new speciesgoodsideaselements etc the preexistence of specific other elements is a necessary condition in previous work some of us showed that the dynamics of the catalytic network equation can be understood in terms of topological recurrence relations paving a path towards the analytic tractability of notoriously high dimensional evolution equations we apply this philosophy to studies in sociophysics biodiversity and massive events of creation and destruction in technological and biological networks cascading events triggered by small exogenous fluctuations lead to dynamics strongly resembling the qualitative picture of schumpeterian economic evolution further we show that this new methodology allows to mathematically treat a variant of the threshold votermodel of opinion formation on networks for fixed topology we find distinct phases of mixed opinions and consensus | [['the', 'concept', 'of', 'autocatalytic', 'systems', 'has', 'become', 'a', 'cornerstone', 'in', 'understanding', 'evolutionary', 'processes', 'in', 'various', 'fields', 'the', 'common', 'ground', 'is', 'the', 'observation', 'that', 'for', 'the', 'production', 'of', 'new', 'speciesgoodsideaselements', 'etc', 'the', 'preexistence', 'of', 'specific', 'other', 'elements', 'is', 'a', 'necessary', 'condition', 'in', 'previous', 'work', 'some', 'of', 'us', 'showed', 'that', 'the', 'dynamics', 'of', 'the', 'catalytic', 'network', 'equation', 'can', 'be', 'understood', 'in', 'terms', 'of', 'topological', 'recurrence', 'relations', 'paving', 'a', 'path', 'towards', 'the', 'analytic', 'tractability', 'of', 'notoriously', 'high', 'dimensional', 'evolution', 'equations', 'we', 'apply', 'this', 'philosophy', 'to', 'studies', 'in', 'sociophysics', 'biodiversity', 'and', 'massive', 'events', 'of', 'creation', 'and', 'destruction', 'in', 'technological', 'and', 'biological', 'networks', 'cascading', 'events', 'triggered', 'by', 'small', 'exogenous', 'fluctuations', 'lead', 'to', 'dynamics', 'strongly', 'resembling', 'the', 'qualitative', 'picture', 'of', 'schumpeterian', 'economic', 'evolution', 'further', 'we', 'show', 'that', 'this', 'new', 'methodology', 'allows', 'to', 'mathematically', 'treat', 'a', 'variant', 'of', 'the', 'threshold', 'votermodel', 'of', 'opinion', 'formation', 'on', 'networks', 'for', 'fixed', 'topology', 'we', 'find', 'distinct', 'phases', 'of', 'mixed', 'opinions', 'and', 'consensus']] | [-0.1549023342737928, 0.13433949528378433, -0.09889043518342078, 0.09870190925275286, -0.06269233410712331, -0.07799070886646708, 0.05431271501040707, 0.3320583803594733, -0.25716687255539, -0.2722213260922581, 0.06340102651311706, -0.2368142684844982, -0.2209913379388551, 0.15790198202206132, -0.06657906154749071, 0.029624780993908643, 0.061728307302109896, 0.010001071658916772, 0.009536268073910226, -0.22594719322398304, 0.3229547937237658, 0.03309593940153718, 0.2941105560120195, 0.05781854492612183, 0.06382736644086738, -0.017459215316921472, -0.03381591604110629, 0.024902596957205484, -0.14826430671455454, 0.11678523520318171, 0.2521909279376268, 0.16720828829721238, 0.30005127617778876, -0.47093267234663166, -0.2510008695581928, 0.10198039532639086, 0.14779073242408533, 0.12273132208734751, -0.05110412867196525, -0.2629989628617962, 0.051866385232036315, -0.1717556512208345, -0.1608679272948454, -0.08205905329824115, 0.03653091168341537, 0.03392674773621063, -0.24167061945268264, 0.07493484833588203, 0.07824155516379203, 0.05057249193079769, -0.06897914215185058, -0.0558735548487554, -0.042408800914417955, 0.13269396409683396, 0.030406256187222123, -0.0031516285116473834, 0.1152365702483803, -0.16712350132317322, -0.1713358450413216, 0.3824046541657299, -0.03679639808833599, -0.15090459792195665, 0.23868938719232877, -0.14644544703585174, -0.2077670586419602, 0.11739057450865706, 0.20785216502845288, 0.09149758775408069, -0.17890540427838764, 0.02741708418664833, 8.897661231458187e-05, 0.11708037248657395, 0.02892613229341805, 0.04853495718562044, 0.21400584692897004, 0.23996978576295078, 0.055738581071297325, 0.11707057910932539, 0.003106388112840553, -0.17518919748564563, -0.23704257535437742, -0.1557531295270504, -0.12101543198494862, 0.07428003018178667, -0.08121589179732837, -0.17420141499489547, 0.39018867966718973, 0.17940195021733718, 0.1905513521687438, 0.016908961247342327, 0.23638109600481888, 0.09017227425860862, 0.03513695762492716, 0.015118474149300407, 0.212601139927865, 0.135296056723843, 0.11708745708999535, -0.20597699105894815, 0.13476353481722375, 0.03914795047913988] |
711.218 | Structural parameters for globular clusters in NGC 5128. III. ACS
surface-brightness profiles and model fits | We present internal surface-brightness profiles, based on HST/ACS imaging in
the F606W bandpass, for 131 globular cluster (GC) candidates with luminosities
10^4 - 3 x 10^6 solar, in the giant elliptical galaxy NGC 5128. Several
structural models are fit to the profile of each cluster and combined with
mass-to-light ratios from population-synthesis models, to derive a catalogue of
fundamental structural and dynamical parameters parallel in form to the
catalogues recently produced by McLaughlin & van der Marel and Barmby et al.
for GCs and massive young star clusters in Local Group galaxies. As part of
this, we provide corrected and extended parameter estimates for another 18
clusters in NGC 5128, which we observed previously. We show that, like GCs in
the Milky Way and some of its satellites, the majority of globulars in NGC 5128
are well fit by isotropic Wilson models, which have intrinsically more
distended envelope structures than the standard King lowered isothermal
spheres. We use our models to predict internal velocity dispersions for every
cluster in our sample. These predictions agree well in general with the
observed dispersions in a small number of clusters for which spectroscopic data
are available. In a subsequent paper, we use these results to investigate
scaling relations for GCs in NGC 5128.
| astro-ph | we present internal surfacebrightness profiles based on hstacs imaging in the f606w bandpass for 131 globular cluster gc candidates with luminosities 104 3 x 106 solar in the giant elliptical galaxy ngc 5128 several structural models are fit to the profile of each cluster and combined with masstolight ratios from populationsynthesis models to derive a catalogue of fundamental structural and dynamical parameters parallel in form to the catalogues recently produced by mclaughlin van der marel and barmby et al for gcs and massive young star clusters in local group galaxies as part of this we provide corrected and extended parameter estimates for another 18 clusters in ngc 5128 which we observed previously we show that like gcs in the milky way and some of its satellites the majority of globulars in ngc 5128 are well fit by isotropic wilson models which have intrinsically more distended envelope structures than the standard king lowered isothermal spheres we use our models to predict internal velocity dispersions for every cluster in our sample these predictions agree well in general with the observed dispersions in a small number of clusters for which spectroscopic data are available in a subsequent paper we use these results to investigate scaling relations for gcs in ngc 5128 | [['we', 'present', 'internal', 'surfacebrightness', 'profiles', 'based', 'on', 'hstacs', 'imaging', 'in', 'the', 'f606w', 'bandpass', 'for', '131', 'globular', 'cluster', 'gc', 'candidates', 'with', 'luminosities', '104', '3', 'x', '106', 'solar', 'in', 'the', 'giant', 'elliptical', 'galaxy', 'ngc', '5128', 'several', 'structural', 'models', 'are', 'fit', 'to', 'the', 'profile', 'of', 'each', 'cluster', 'and', 'combined', 'with', 'masstolight', 'ratios', 'from', 'populationsynthesis', 'models', 'to', 'derive', 'a', 'catalogue', 'of', 'fundamental', 'structural', 'and', 'dynamical', 'parameters', 'parallel', 'in', 'form', 'to', 'the', 'catalogues', 'recently', 'produced', 'by', 'mclaughlin', 'van', 'der', 'marel', 'and', 'barmby', 'et', 'al', 'for', 'gcs', 'and', 'massive', 'young', 'star', 'clusters', 'in', 'local', 'group', 'galaxies', 'as', 'part', 'of', 'this', 'we', 'provide', 'corrected', 'and', 'extended', 'parameter', 'estimates', 'for', 'another', '18', 'clusters', 'in', 'ngc', '5128', 'which', 'we', 'observed', 'previously', 'we', 'show', 'that', 'like', 'gcs', 'in', 'the', 'milky', 'way', 'and', 'some', 'of', 'its', 'satellites', 'the', 'majority', 'of', 'globulars', 'in', 'ngc', '5128', 'are', 'well', 'fit', 'by', 'isotropic', 'wilson', 'models', 'which', 'have', 'intrinsically', 'more', 'distended', 'envelope', 'structures', 'than', 'the', 'standard', 'king', 'lowered', 'isothermal', 'spheres', 'we', 'use', 'our', 'models', 'to', 'predict', 'internal', 'velocity', 'dispersions', 'for', 'every', 'cluster', 'in', 'our', 'sample', 'these', 'predictions', 'agree', 'well', 'in', 'general', 'with', 'the', 'observed', 'dispersions', 'in', 'a', 'small', 'number', 'of', 'clusters', 'for', 'which', 'spectroscopic', 'data', 'are', 'available', 'in', 'a', 'subsequent', 'paper', 'we', 'use', 'these', 'results', 'to', 'investigate', 'scaling', 'relations', 'for', 'gcs', 'in', 'ngc', '5128']] | [-0.0304198866582966, 0.036105414817631604, -0.09900214792125756, 0.10424996445974524, -0.09960363047638378, -0.04742044752187001, 0.038574981347405786, 0.45452260094636304, -0.12447350150635601, -0.3991263391099114, 0.012921800782931024, -0.283175139044578, -0.0733289621963845, 0.2233479384339644, -0.04416554584449094, -0.0010002787286249228, 0.08859104414668456, -0.08288600950055881, -0.032277489248055805, -0.31458193041184007, 0.2755990142074688, 0.025055738647382905, 0.15630646206005216, -0.11470278186480636, 0.03816965101612957, -0.05078568552161796, -0.0507850040488197, 0.005685523998190239, -0.2032411819120944, 0.0717196373360632, 0.23510784400293236, 0.09119381798557254, 0.1950962599231929, -0.36281326884351944, -0.19477071318323252, 0.03934465451076051, 0.23952163735535087, 0.057246342063476535, -0.07398242469021324, -0.29334770942979677, 0.08602882951839967, -0.20786683910620818, -0.19750067616637418, 0.029210913287484704, 0.05671065379438049, 0.05896362581949429, -0.20004521878205628, 0.20431917733940239, -0.010201541396900606, 0.10797257161006649, -0.1524051737950233, -0.15425603116968206, -0.03504276465498595, 0.07537452261984924, -0.044696001093024795, 0.0451228364172801, 0.1560490248876102, -0.11430222543568355, -0.018917360437521034, 0.4147437249314814, -0.05791039075703835, -0.01077772935308012, 0.23533815047973633, -0.1734811232474763, -0.24668585390171963, 0.022045778033680987, 0.15453127784888454, 0.0692927452818837, -0.19587763106891354, 0.041975619991822845, -0.058904053146190544, 0.18641879662853364, 0.05264068053189467, 0.024247360472347483, 0.25693398520152494, 0.055648551106560924, 0.021697795995992523, 0.09529258864301882, -0.20848454565826605, -0.04745125866991103, -0.18208050207518364, -0.09569582509513548, -0.10348453910701913, 0.04324686811991702, -0.1592279859490362, -0.14808983826820832, 0.30068962877404826, 0.09742077899385909, 0.26129405560637803, 0.05521155306608259, 0.2702683430515986, 0.04589996760056449, 0.13848772109036248, 0.14449645585834908, 0.2933492571963863, 0.2053064854865093, 0.04410249257183539, -0.20938970184275332, 0.03700222435141891, 0.009954572368440206] |
711.2181 | The $KH$-Isomorphism Conjecture and Algebraic $KK$-theory | In this article we prove that the $KH$-asembly map, as defined by Bartels and
L{\"u}ck, can be described in terms of the algebraic $KK$-theory of Cortinas
and Thom. The $KK$-theory description of the $KH$-assembly map is similar to
that of the Baum-Connes assembly map. In very elementary cases, methods used to
prove the Baum-Connes conjecture also apply to the $KH$-isomorphism conjecture.
| math.KT | in this article we prove that the khasembly map as defined by bartels and luck can be described in terms of the algebraic kktheory of cortinas and thom the kktheory description of the khassembly map is similar to that of the baumconnes assembly map in very elementary cases methods used to prove the baumconnes conjecture also apply to the khisomorphism conjecture | [['in', 'this', 'article', 'we', 'prove', 'that', 'the', 'khasembly', 'map', 'as', 'defined', 'by', 'bartels', 'and', 'luck', 'can', 'be', 'described', 'in', 'terms', 'of', 'the', 'algebraic', 'kktheory', 'of', 'cortinas', 'and', 'thom', 'the', 'kktheory', 'description', 'of', 'the', 'khassembly', 'map', 'is', 'similar', 'to', 'that', 'of', 'the', 'baumconnes', 'assembly', 'map', 'in', 'very', 'elementary', 'cases', 'methods', 'used', 'to', 'prove', 'the', 'baumconnes', 'conjecture', 'also', 'apply', 'to', 'the', 'khisomorphism', 'conjecture']] | [-0.09553880480535586, 0.02126310460654826, -0.16911776934284717, 0.12396056966149602, -0.03667702522642653, -0.1112723534039607, -0.028912108070377647, 0.30688608900226394, -0.3500733373783015, -0.27040063542442333, 0.09509130687139736, -0.17855029431942465, -0.21216099060658397, 0.2247424616060894, -0.2141774509037877, -0.0049630271929219875, 0.07008354095260388, -0.0003369489026352249, -0.04616948404220928, -0.30584175756265375, 0.3599959511695237, 0.04719825207801728, 0.20070536338306708, 0.1294053209752872, 0.10274416605685034, -0.0012086107042329065, -0.05724223976119839, -0.0012906045542343957, -0.16038551477937163, 0.15135126633987087, 0.33445934810001277, 0.10903420108611342, 0.17149933519098778, -0.3493785223891509, -0.13348184236132637, 0.14755736563579533, 0.1527269201449536, 0.049799693619896626, 0.005501421754537472, -0.2966390956225323, 0.11465971627882843, -0.1686921963982027, -0.155336793825223, -0.11339176616406646, 0.013128798744031068, 0.014973204036981895, -0.2235312435599365, 0.01214499832161076, 0.1452627687490192, 0.08328893798371327, -0.07443313303821046, -0.010281815528789342, -0.05453819174576422, 0.16095065474831338, 0.015599682842830902, 0.06430533981544832, 0.08693373565369382, -0.08935346418654481, -0.12953096018012228, 0.3923959053795913, -0.10256455390681994, -0.17961546460744635, 0.1343654546693995, -0.15378124961340478, -0.22125927100343437, 0.05628437792394583, 0.023968536262239874, 0.1146511560755557, -0.055431559521319534, 0.17439817315871237, -0.15980282266913304, 0.08624968401573856, 0.11818946926886666, -0.046690805124696984, 0.0974678399266097, 0.037574519499622545, 0.09020943063560166, 0.16420547838989197, 0.054271866085714306, -0.024817253206053685, -0.30043226046937294, -0.2462483015280731, -0.1619777449061452, 0.11905539686117193, -0.048258523472307795, -0.15934821166066004, 0.3843578644867601, 0.16942527783424433, 0.18022648768563723, 0.14891932000695118, 0.2387656439738027, 0.08443667171001114, 0.022431169694755226, -0.01159369213313892, 0.18538930078422458, 0.23563879940674864, 0.06363957873063869, -0.14742336750576465, 0.003325044153386663, 0.22781099907347355] |
711.2182 | Algebraic $K$-theory Spectra and Factorisations of Analytic Assembly
Maps | In this article we use existing machinery to define connective $K$-theory
spectra associated to topological ringoids. Algebraic $K$-theory of discrete
ringoids, and the analytic $K$-theory of Banach categories are obtained as
special cases.
As an application, we show how the analytic assembly maps featuring in the
Novikov and Baum-Connes conjectures can be factorised into composites of
assembly maps resembling those appearing in algebraic $K$-theory and maps
coming from completions of certain topological ringoids into Banach categories.
These factorisations are proved by using existing characterisations of assembly
maps along with our unified picture of algebraic and analytic $K$-theory.
| math.KT | in this article we use existing machinery to define connective ktheory spectra associated to topological ringoids algebraic ktheory of discrete ringoids and the analytic ktheory of banach categories are obtained as special cases as an application we show how the analytic assembly maps featuring in the novikov and baumconnes conjectures can be factorised into composites of assembly maps resembling those appearing in algebraic ktheory and maps coming from completions of certain topological ringoids into banach categories these factorisations are proved by using existing characterisations of assembly maps along with our unified picture of algebraic and analytic ktheory | [['in', 'this', 'article', 'we', 'use', 'existing', 'machinery', 'to', 'define', 'connective', 'ktheory', 'spectra', 'associated', 'to', 'topological', 'ringoids', 'algebraic', 'ktheory', 'of', 'discrete', 'ringoids', 'and', 'the', 'analytic', 'ktheory', 'of', 'banach', 'categories', 'are', 'obtained', 'as', 'special', 'cases', 'as', 'an', 'application', 'we', 'show', 'how', 'the', 'analytic', 'assembly', 'maps', 'featuring', 'in', 'the', 'novikov', 'and', 'baumconnes', 'conjectures', 'can', 'be', 'factorised', 'into', 'composites', 'of', 'assembly', 'maps', 'resembling', 'those', 'appearing', 'in', 'algebraic', 'ktheory', 'and', 'maps', 'coming', 'from', 'completions', 'of', 'certain', 'topological', 'ringoids', 'into', 'banach', 'categories', 'these', 'factorisations', 'are', 'proved', 'by', 'using', 'existing', 'characterisations', 'of', 'assembly', 'maps', 'along', 'with', 'our', 'unified', 'picture', 'of', 'algebraic', 'and', 'analytic', 'ktheory']] | [-0.12215768740771665, 0.029069658744625373, -0.12092664913927234, 0.15046682695920588, -0.08910952650548257, -0.12109028017052363, -0.06903386152512633, 0.38273959497431503, -0.3734254805207944, -0.23506964169941919, 0.12282272606497611, -0.22774274212838697, -0.19636543490203848, 0.23314511033792779, -0.18053500551115914, -0.016756401579711856, 0.032538563857987986, -0.00035202675547028325, -0.11053557212934974, -0.23559497848402747, 0.4468943482437699, -0.03280307304536559, 0.17793954272764093, 0.013021431780497054, 0.04596279733862305, 0.01629257731658128, -0.08201087337256092, 0.02307400887859574, -0.1753602932956185, 0.17883397907633142, 0.3836871841130298, 0.07748589737067171, 0.11458594764021139, -0.4269088186016402, -0.11970263350390128, 0.12851668250526196, 0.14970894366008897, 0.025899766219453405, -0.04235708922839042, -0.33260833019793956, 0.08464774836008389, -0.18410574657765708, -0.059650480070333814, -0.16504955653235623, -0.0021226743197779066, 0.039638524923051144, -0.2000737842268397, -0.027084240555456003, 0.07502533650006522, 0.12966914666509352, -0.1643071688625232, -0.0768467044258567, -0.11393570001525133, 0.1496807719609633, -0.025689741411155147, -0.020936226455456355, 0.14037077733766787, -0.0826134210495643, -0.1634096163949094, 0.3600691795425931, -0.018339568480234787, -0.1591612265550906, 0.17806240860564806, -0.14471885337753548, -0.23302001679392972, 0.13305928489582172, 0.030242778005596903, 0.08159761236423684, -0.011236980667856243, 0.21063812852587513, -0.11772954899376047, 0.058222591250501186, 0.09343924737276182, 0.04730535401319413, 0.17204631552263402, 0.04577338457414784, 0.01833414774479287, 0.1845718569838749, 0.09629393196436721, -0.07764513116598744, -0.2957390736519676, -0.17514463969159477, -0.04341753735447053, 0.17589678539481668, -0.09296859895808085, -0.20421674306091575, 0.4316714124888489, 0.0999630431587011, 0.20118070472051033, 0.17738528042724452, 0.27388126143379155, 0.045684798086570944, 0.04037544112556528, -0.044656504099209286, 0.09725499844488199, 0.2707452323868602, 0.04831913629181914, -0.040100172691325625, -0.07451570653308605, 0.2786435440144281] |
711.2183 | Potts-Percolation-Gauss Model of a Solid | We study a statistical mechanics model of a solid. Neighboring atoms are
connected by Hookian springs. If the energy is larger than a threshold the
"spring" is more likely to fail, while if the energy is lower than the
threshold the spring is more likely to be alive. The phase diagram and
thermodynamic quantities, such as free energy, numbers of bonds and clusters,
and their fluctuations, are determined using renormalization-group and
Monte-Carlo techniques.
| cond-mat.stat-mech | we study a statistical mechanics model of a solid neighboring atoms are connected by hookian springs if the energy is larger than a threshold the spring is more likely to fail while if the energy is lower than the threshold the spring is more likely to be alive the phase diagram and thermodynamic quantities such as free energy numbers of bonds and clusters and their fluctuations are determined using renormalizationgroup and montecarlo techniques | [['we', 'study', 'a', 'statistical', 'mechanics', 'model', 'of', 'a', 'solid', 'neighboring', 'atoms', 'are', 'connected', 'by', 'hookian', 'springs', 'if', 'the', 'energy', 'is', 'larger', 'than', 'a', 'threshold', 'the', 'spring', 'is', 'more', 'likely', 'to', 'fail', 'while', 'if', 'the', 'energy', 'is', 'lower', 'than', 'the', 'threshold', 'the', 'spring', 'is', 'more', 'likely', 'to', 'be', 'alive', 'the', 'phase', 'diagram', 'and', 'thermodynamic', 'quantities', 'such', 'as', 'free', 'energy', 'numbers', 'of', 'bonds', 'and', 'clusters', 'and', 'their', 'fluctuations', 'are', 'determined', 'using', 'renormalizationgroup', 'and', 'montecarlo', 'techniques']] | [-0.11682970576587912, 0.26456863541564307, -0.08890069295231202, 0.10780109549961882, -0.03108274576585893, -0.1504697397108866, 0.08270742486498944, 0.3658418166770102, -0.2479584385985381, -0.30900406743055336, 0.09509861251747567, -0.3489760352834447, -0.09822032732365985, 0.17635025544257912, 0.01177718394040449, 0.0020619539339860825, 0.04255560812961361, 0.05724375069217935, -0.03067145514946227, -0.19495012301135145, 0.2681772953460682, 0.11022429078919431, 0.22747669782974336, 0.06411878421124428, 0.03724995488938812, -0.043522094577321244, 0.05473826729297025, 0.052134970560261645, -0.1586210292840555, 0.09241391110237152, 0.19847812395772502, 0.02809195115856112, 0.26297578207944355, -0.43034441912010923, -0.1932052256131213, 0.15804649688533112, 0.10956359493916165, 0.1189891063793218, 0.0416189418664706, -0.2242783000054833, 0.08567593153566122, -0.16822597453345176, -0.13366088456767675, -0.06005635436573257, 0.02592579556680093, 0.04502152695802155, -0.21549980908836405, 0.11581378455643784, -0.0015431226403388666, 0.06291117548483284, -0.03955343372686065, -0.11806218481737457, -0.10805569760093134, 0.10865435686141048, 0.00890008593456539, 0.02065886489804579, 0.19411964870810713, -0.13328684705679547, -0.036318502376136715, 0.4384292444526792, 0.006227898096892192, -0.15399015536141097, 0.19941122996085003, -0.12024876121304011, -0.07943706081746375, 0.14259129469219137, 0.10093372031944255, 0.08714106923913302, -0.16835979419466976, 0.005285156523961931, 0.02119591869158696, 0.18072774766446792, 0.04279907521064559, -0.005171170254072098, 0.20942632896085717, 0.15818365241005405, 0.07185242046946533, 0.13015562151590593, -0.06027814268759669, -0.14117224112612337, -0.24646515382632408, -0.1309077677935719, -0.22331930292540625, 0.02735841404710424, -0.0848217530882509, -0.13112381669654422, 0.3357684069045194, 0.0950599294410993, 0.18309765380539306, 0.05610357806061025, 0.2864147411684876, 0.1347509029318183, 0.07524540896961236, 0.09991652441644812, 0.2719267984144135, 0.14739199038531173, 0.04845181041499217, -0.1637085781014869, 0.06899506111361392, 0.062225612014379] |
711.2184 | Some numerical studies of the evolution of generalized parton
distributions | We study the evolution behavior of generalized parton distributions at small
longitudinal momentum fraction. Particular attention is paid to the ratio of a
generalized parton distribution and its forward limit, to the mixing between
quarks and gluons, and to the dependence on the squared momentum transfer t.
| hep-ph | we study the evolution behavior of generalized parton distributions at small longitudinal momentum fraction particular attention is paid to the ratio of a generalized parton distribution and its forward limit to the mixing between quarks and gluons and to the dependence on the squared momentum transfer t | [['we', 'study', 'the', 'evolution', 'behavior', 'of', 'generalized', 'parton', 'distributions', 'at', 'small', 'longitudinal', 'momentum', 'fraction', 'particular', 'attention', 'is', 'paid', 'to', 'the', 'ratio', 'of', 'a', 'generalized', 'parton', 'distribution', 'and', 'its', 'forward', 'limit', 'to', 'the', 'mixing', 'between', 'quarks', 'and', 'gluons', 'and', 'to', 'the', 'dependence', 'on', 'the', 'squared', 'momentum', 'transfer', 't']] | [-0.06407410229625617, 0.26129851577446817, -0.15057800025580095, 0.1595162448616936, -0.08322610345451122, -0.006405874036569545, 0.05386623727316235, 0.37457516852845535, -0.2440514122235014, -0.24953375249466997, -0.0378287735474395, -0.32662601994865753, 0.00677068492873235, 0.06876628849893174, 0.034461579037869866, 0.10451290630512534, 0.06476597430461899, -0.030841380833311283, -0.1145881079335479, -0.1797930910747419, 0.36004862260628256, 0.08807409643393724, 0.3222879125647485, 0.16071849962339757, 0.16868214242834043, 0.09446890663078174, -0.0378828338010514, -0.062420513718686205, -0.140861742079575, 0.05312053938495352, 0.13835553669350895, 0.011354803355371064, 0.2018882082874312, -0.3199743601156676, -0.13053764531666295, 0.12021845063947617, 0.12591708624398612, 0.04029712132475478, 0.021888126448252575, -0.1736791099005557, 0.0332486690319282, -0.260795616009768, -0.1444523303764575, -0.08022261774563726, 0.043028624361737614, 0.023219332366468424, -0.30209481317371606, 0.08565454708134874, 0.03895944129041535, -0.01542748102640852, 0.05622075191708876, -0.18009967075541933, -0.10607372140115563, 0.0930144684092003, 0.1649239928947088, 0.05967468580607563, 0.10001809051894445, -0.21085844094805578, -0.047986584656099056, 0.37062224989479525, -0.06762567887756418, -0.2881323037312386, 0.1186372871966438, -0.25149373972709194, -0.08563147826080626, 0.11452096867117476, 0.2993100952119269, 0.12310119038645892, -0.13675399199920765, 0.06622978878093566, -0.006682364884367648, 0.1159368196720297, 0.08793776317380686, 0.07406071430825173, 0.20028644738758497, 0.15152013071495643, -0.01931674610030778, 0.13262054810617516, -0.1325008898943742, -0.19653852497960658, -0.3340738554425696, -0.09942582194158371, -0.16517132262828105, 0.09005722031988045, -0.10313424151892367, -0.1228846444431296, 0.38483897390517785, 0.08170551966898704, 0.2848576441644988, 0.07649997454830149, 0.2882821079581342, 0.1644611157194533, 0.06473350175160994, 0.09951832086997146, 0.20996915517335243, 0.25049283914268017, 0.1850059981274597, -0.3134594047343002, 0.07732684539749901, 0.053801656522332354] |
711.2185 | Exact finite approximations of average-cost countable Markov Decision
Processes | For a countable-state Markov decision process we introduce an embedding which
produces a finite-state Markov decision process. The finite-state embedded
process has the same optimal cost, and moreover, it has the same dynamics as
the original process when restricting to the approximating set. The embedded
process can be used as an approximation which, being finite, is more convenient
for computation and implementation.
| math.PR math.OC | for a countablestate markov decision process we introduce an embedding which produces a finitestate markov decision process the finitestate embedded process has the same optimal cost and moreover it has the same dynamics as the original process when restricting to the approximating set the embedded process can be used as an approximation which being finite is more convenient for computation and implementation | [['for', 'a', 'countablestate', 'markov', 'decision', 'process', 'we', 'introduce', 'an', 'embedding', 'which', 'produces', 'a', 'finitestate', 'markov', 'decision', 'process', 'the', 'finitestate', 'embedded', 'process', 'has', 'the', 'same', 'optimal', 'cost', 'and', 'moreover', 'it', 'has', 'the', 'same', 'dynamics', 'as', 'the', 'original', 'process', 'when', 'restricting', 'to', 'the', 'approximating', 'set', 'the', 'embedded', 'process', 'can', 'be', 'used', 'as', 'an', 'approximation', 'which', 'being', 'finite', 'is', 'more', 'convenient', 'for', 'computation', 'and', 'implementation']] | [-0.035041953442663316, 0.11906682024381289, -0.08923347225983537, 0.07680887105899244, -0.10647819512673924, -0.14747115944121633, 0.07532260822312485, 0.44176231288621504, -0.3418814943682763, -0.21994991197941766, 0.18057414731611648, -0.19369405610186438, -0.11488377218765597, 0.17188632121730235, -0.053361634813500716, 0.11133754553814088, 0.06391179220630758, 0.07222956639804667, 0.015788191594296105, -0.24639549647502962, 0.28367823243118645, 0.10678683530779616, 0.2743558531266547, -0.051484092041068984, 0.1627440633432519, 0.06868169178074647, 0.052440985788463526, -0.015942693064590136, -0.059224396060603944, 0.08952844930031607, 0.2912140497562265, 0.1928880904170294, 0.3221722065636347, -0.3871862071476156, -0.20061806035077862, 0.15809790732999962, 0.17657720422252052, 0.11731411658617999, -0.006751024544721604, -0.2809499386667965, 0.09808883239184657, -0.1757777914585125, -0.0568594804687065, -0.08290754735184412, -0.02640252731620304, -0.05153315279993319, -0.32972013741551387, -0.08216604584407422, 0.11209512228566793, -0.015445755959879006, 0.00039677388004718286, -0.06414211858364363, -0.019115660516094538, 0.15956551290066506, -0.026636794215582703, 0.058378813082292196, 0.1520955466379922, -0.08045440853287976, -0.17330423854817187, 0.3588651627482426, -0.06895803105867197, -0.27174491711681886, 0.19797016082391625, -0.02149117673416772, -0.1512002325166137, 0.16835045429217, 0.1672723581864228, 0.13745198835198197, -0.22219269587249954, 0.1384883809725814, -0.03259565159978886, 0.15103507169049174, 0.014629267486593416, -0.007143719767731043, 0.11590323603201297, 0.24841355263432038, 0.0934227355004799, 0.22783789169155963, -0.014112044163348695, -0.18544821690527663, -0.2785718855189888, -0.20654196992156007, -0.1734095804896506, 0.05129089975549329, -0.12588063960908086, -0.23876120312319649, 0.2987183092702781, 0.14747917927771567, 0.17850999604730355, 0.134145375149655, 0.2933559661746145, 0.24692287604956353, 0.018637750946518573, 0.12484182629944576, 0.09269119333851361, 0.09204768077019722, 0.04558261247321723, -0.14272399678555947, 0.2007509767896526, 0.06900757026948756] |
711.2186 | The defect of Fano 3-folds | This paper studies the defect of terminal Gorenstein Fano 3 folds. I
determine a bound on the defect of terminal Gorenstein Fano 3-folds of Picard
rank 1 that do not contain a plane. I give a general bound for quartic 3-folds
and indicate how to study the defect of terminal Gorenstein Fano 3-folds with
Picard rank 1 that contain a plane.
| math.AG | this paper studies the defect of terminal gorenstein fano 3 folds i determine a bound on the defect of terminal gorenstein fano 3folds of picard rank 1 that do not contain a plane i give a general bound for quartic 3folds and indicate how to study the defect of terminal gorenstein fano 3folds with picard rank 1 that contain a plane | [['this', 'paper', 'studies', 'the', 'defect', 'of', 'terminal', 'gorenstein', 'fano', '3', 'folds', 'i', 'determine', 'a', 'bound', 'on', 'the', 'defect', 'of', 'terminal', 'gorenstein', 'fano', '3folds', 'of', 'picard', 'rank', '1', 'that', 'do', 'not', 'contain', 'a', 'plane', 'i', 'give', 'a', 'general', 'bound', 'for', 'quartic', '3folds', 'and', 'indicate', 'how', 'to', 'study', 'the', 'defect', 'of', 'terminal', 'gorenstein', 'fano', '3folds', 'with', 'picard', 'rank', '1', 'that', 'contain', 'a', 'plane']] | [-0.20657078243914198, -0.061925556312208294, -0.05873943953851207, 0.11875645116116608, -0.034824839457258824, -0.3512714397864508, -0.013800517989887445, 0.31548779016574385, -0.22117979607743318, -0.20364667701183772, 0.043280718939714746, -0.2745486704296753, -0.1873929579513239, 0.15041922231502525, -0.20828519419568484, -0.11244400940285842, 0.02042051923812413, 0.054027935673223164, -0.08492561445769961, -0.4790978459488662, 0.5050563385374234, -0.08951427343255672, 0.230617109182306, 0.12951967819425902, 0.12605148934392776, -0.014170085209742432, 0.08421427206914933, 0.04052567923227783, -0.24187275163612718, 0.206880461027632, 0.3460187774579056, 0.07673758884403305, 0.12866807619079215, -0.366130745374277, -0.11202022548551198, 0.16842030564353602, 0.1578224469357949, 0.1257231673645619, -0.015483728314169729, -0.13089725114099804, 0.15526177437945468, -0.1416451015250116, -0.21459839163256472, -0.026022672805874072, 0.03747637410739773, 0.08102209929789066, -0.19481906494828033, 0.016680391856515018, 0.09815358184278011, 0.17099656388125398, 0.026464611856785954, -0.07009259605070302, -0.1692795758975334, -0.046065018787125094, -0.05034520754926517, -0.011927091863891874, 0.14832593195262503, -0.1311526980029694, -0.1712350975416723, 0.3127884719765089, -0.014159314135913967, -0.16813677914257422, 0.10381587735209309, -0.19159566998848174, -0.13720498922601587, 0.24391112220091898, 0.11308600968818684, 0.22539157324306452, 0.02189631257816905, 0.13124515471854017, -0.11129444036022072, 0.13135493994064507, 0.16194678213996966, -0.005816213270366863, 0.10307354876985315, 0.09266690668253014, 0.15280027312348735, 0.05666593256116402, -0.07359912992668811, 0.06338193157657249, -0.3878708804239992, -0.19990977871834803, -0.12043093406351009, 0.2658328627979051, -0.11655095721891753, -0.14713094463632975, 0.4415893666140857, 0.00219452968935986, 0.2513005373175027, 0.08464911902995138, 0.21206548974895087, -0.01746538980696045, -0.007983847208260024, 0.048068435877927994, 0.19477427866477826, 0.19036855948630904, -0.07059229532501003, -0.12924919527817946, -0.04376363574114979, 0.15428081427349663] |
711.2187 | On Perturbations of Quintom Bounce | A Quintom universe with an equation-of-state crossing the cosmological
constant boundary can provide a bouncing solution dubbed the Quintom Bounce and
thus resolve the Big Bang singularity. In this paper, we investigate the
cosmological perturbations of the Quintom Bounce both analytically and
numerically. We find that the fluctuations in the dominant mode in the
post-bounce expanding phase couple to the growing mode of the perturbations in
the pre-bounce contracting phase.
| hep-th astro-ph gr-qc hep-ph | a quintom universe with an equationofstate crossing the cosmological constant boundary can provide a bouncing solution dubbed the quintom bounce and thus resolve the big bang singularity in this paper we investigate the cosmological perturbations of the quintom bounce both analytically and numerically we find that the fluctuations in the dominant mode in the postbounce expanding phase couple to the growing mode of the perturbations in the prebounce contracting phase | [['a', 'quintom', 'universe', 'with', 'an', 'equationofstate', 'crossing', 'the', 'cosmological', 'constant', 'boundary', 'can', 'provide', 'a', 'bouncing', 'solution', 'dubbed', 'the', 'quintom', 'bounce', 'and', 'thus', 'resolve', 'the', 'big', 'bang', 'singularity', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'cosmological', 'perturbations', 'of', 'the', 'quintom', 'bounce', 'both', 'analytically', 'and', 'numerically', 'we', 'find', 'that', 'the', 'fluctuations', 'in', 'the', 'dominant', 'mode', 'in', 'the', 'postbounce', 'expanding', 'phase', 'couple', 'to', 'the', 'growing', 'mode', 'of', 'the', 'perturbations', 'in', 'the', 'prebounce', 'contracting', 'phase']] | [-0.20251588760875167, 0.16607145243511434, -0.17119691969294634, 0.09201669879091372, -0.09772387130984238, -0.1378078200721315, -0.05844820931919718, 0.26477077239084923, -0.2749824268477304, -0.20372362827349985, 0.10027324565952378, -0.24967964193617392, -0.0923613025407706, 0.058888363199574606, 0.009111718700400421, 0.007659998895334346, 0.04499564799812755, 0.003802476101970699, -0.06660849359052788, -0.25232056908841644, 0.41376973390579225, 0.11074581497689776, 0.2083125677658245, -0.0201317036524415, 0.05874874187367303, -0.13835232945026033, 0.02052939594058054, -0.005562805118305343, -0.2723377280640956, -0.038542792633441944, 0.16401533798572407, 0.14550803704187273, 0.25850970879463214, -0.4658243392727205, -0.2913819505433951, 0.19308173759574337, 0.2215762909368745, 0.20243698305587585, -0.08806789557316473, -0.29564987854765995, 0.02407011725008488, -0.1884956511036892, -0.15987218995245972, -0.049748299763138805, -0.024427239224314688, -0.08348747156893037, -0.18882749352071967, 0.15486524715753539, -0.043525314274510105, -0.09041207270430666, -0.10966049444728664, 0.05571365536057523, -0.01683984265795776, 0.009591566106038434, 0.11080093213006746, -0.012972024089789817, 0.08924746921818172, -0.18594292067989174, -0.034728885668196846, 0.3974355090409517, -0.1700510595126876, -0.09811225937945502, 0.07668652671522327, -0.15747179784146803, -0.11868731594378394, 0.08962605178156602, 0.09578225521337506, 0.07874016019382647, -0.06902623248419591, 0.15245441800881443, 0.10586943686440853, 0.12916486763528415, 0.14635641246901027, -0.07494585128900196, 0.3392021526183401, 0.1672647088633052, 0.0318986138461956, 0.12138796919690711, -0.047052211084935285, -0.1609755761755098, -0.39430261626839636, -0.16162188438964742, -0.13986304521677084, 0.03328893189983709, -0.20759912867589655, -0.2584515812274601, 0.4333824395069054, 0.13600426352183734, 0.21218668064767762, 0.008185356250032782, 0.2840540594022189, 0.042576318566820454, -0.030144866392947733, 0.13943876163102686, 0.3360403722152114, 0.08357490556248065, 0.18018191452803356, -0.2908089766208182, -0.034390667965635655, -0.009331760508939625] |
711.2188 | Efficient routing in heavy traffic under partial sampling of service
times | We consider a queue with renewal arrivals and n exponential servers in the
Halfin-Whitt heavy traffic regime, where n and the arrival rate increase
without bound, so that a critical loading condition holds. Server k serves at
rate $\mu_k $, and the empirical distribution of the $\mu_k $ is assumed to
converge weakly. We show that very little information on the service rates is
required for a routing mechanism to perform well. More precisely, we construct
a routing mechanism that has access to a single sample from the service time
distribution of each of $n$ to the power of $1/2 + \epsilon $ randomly selected
servers, but not to the actual values of the service rates, the performance of
which is asymptotically as good as the best among mechanisms that have the
complete information on $ \mu_k $.
| math.PR math.OC | we consider a queue with renewal arrivals and n exponential servers in the halfinwhitt heavy traffic regime where n and the arrival rate increase without bound so that a critical loading condition holds server k serves at rate mu_k and the empirical distribution of the mu_k is assumed to converge weakly we show that very little information on the service rates is required for a routing mechanism to perform well more precisely we construct a routing mechanism that has access to a single sample from the service time distribution of each of n to the power of 12 epsilon randomly selected servers but not to the actual values of the service rates the performance of which is asymptotically as good as the best among mechanisms that have the complete information on mu_k | [['we', 'consider', 'a', 'queue', 'with', 'renewal', 'arrivals', 'and', 'n', 'exponential', 'servers', 'in', 'the', 'halfinwhitt', 'heavy', 'traffic', 'regime', 'where', 'n', 'and', 'the', 'arrival', 'rate', 'increase', 'without', 'bound', 'so', 'that', 'a', 'critical', 'loading', 'condition', 'holds', 'server', 'k', 'serves', 'at', 'rate', 'mu_k', 'and', 'the', 'empirical', 'distribution', 'of', 'the', 'mu_k', 'is', 'assumed', 'to', 'converge', 'weakly', 'we', 'show', 'that', 'very', 'little', 'information', 'on', 'the', 'service', 'rates', 'is', 'required', 'for', 'a', 'routing', 'mechanism', 'to', 'perform', 'well', 'more', 'precisely', 'we', 'construct', 'a', 'routing', 'mechanism', 'that', 'has', 'access', 'to', 'a', 'single', 'sample', 'from', 'the', 'service', 'time', 'distribution', 'of', 'each', 'of', 'n', 'to', 'the', 'power', 'of', '12', 'epsilon', 'randomly', 'selected', 'servers', 'but', 'not', 'to', 'the', 'actual', 'values', 'of', 'the', 'service', 'rates', 'the', 'performance', 'of', 'which', 'is', 'asymptotically', 'as', 'good', 'as', 'the', 'best', 'among', 'mechanisms', 'that', 'have', 'the', 'complete', 'information', 'on', 'mu_k']] | [-0.1835952693143168, 0.10313707641784498, -0.08496219675042525, 0.049119924060174854, -0.026822243118658662, -0.20129779998255384, 0.17212003046844268, 0.38534574464640836, -0.2470054348267502, -0.29717493020562513, 0.10074485256689403, -0.29881293661751307, -0.04559877475328518, 0.1579759523209015, -0.05893950579885506, 0.0684111113687598, 0.030908912328551665, 0.12681695334895543, 0.01356042191477944, -0.28697518704134517, 0.27322335502795986, 0.0947207267692482, 0.33412065193282836, 0.03845464155981035, 0.07711793564852666, -0.0029303298427046025, 0.02862212681440834, -0.05901770896602874, -0.13430641637233115, 0.037955153647503306, 0.2442631542287541, 0.14086195061011522, 0.2723991492988937, -0.40914976270841813, -0.1757045494812315, 0.1478926877519398, 0.16082243389224238, 0.05628499890074388, -0.028210776006634467, -0.1937446223014514, 0.14310596690153365, -0.17443975627732775, -0.09851902447090569, -0.0003599438209538207, 0.03339438133336829, 0.0878092917670129, -0.35502192230937496, 0.028204381695214772, 0.03752156876990656, -0.017947802910136736, -0.03392823378310299, -0.09034011203965003, -0.016328074420788184, 0.179938624761152, 0.08293250698162327, 0.022804175529128053, 0.13735476668543098, -0.11170159362849187, -0.07561995131739725, 0.3876291893027497, -0.06739263514155579, -0.18239851908892338, 0.1428008831377762, -0.13018234154548158, -0.1466374616879462, 0.12499875620106292, 0.18981131928916456, 0.1216720122117267, -0.15723232996904038, 0.04883752507025334, -0.05717151770791547, 0.18974938101106972, 0.06127315125371696, 0.07394489195465928, 0.11199641673804515, 0.17310046329812118, 0.1489415179962772, 0.11214703490788286, -0.06399260156181161, -0.11479347486359377, -0.2767983118396704, -0.13459199296608637, -0.21921074733307416, 0.09493166342155857, -0.12538744978376076, -0.13507911393676433, 0.31292694391485193, 0.12602820559969227, 0.2443536943191606, 0.14371895035958115, 0.3074067835272713, 0.10362051007387256, 0.04147155647815177, 0.1713446042754323, 0.14009363496337424, 0.0338380889416757, 0.12397101663836194, -0.18475112040080907, 0.15875264090683425, 0.009492869007358835] |
711.2189 | Search for Lepton Flavor Violating tau Decays into Three Leptons | We search for lepton-flavor-violating tau decays into three leptons (electron
or muon) using 535 fb-1 of data collected with the Belle detector at the KEKB
asymmetric-energy e+e- collider. No evidence for these decays is observed, and
we set 90% confidence level upper limits on the branching fractions of
(2.0-4.1)x10^-8. These results improve upon our previously published upper
limits by factors of 4.9 to 10.
| hep-ex | we search for leptonflavorviolating tau decays into three leptons electron or muon using 535 fb1 of data collected with the belle detector at the kekb asymmetricenergy ee collider no evidence for these decays is observed and we set 90 confidence level upper limits on the branching fractions of 2041x108 these results improve upon our previously published upper limits by factors of 49 to 10 | [['we', 'search', 'for', 'leptonflavorviolating', 'tau', 'decays', 'into', 'three', 'leptons', 'electron', 'or', 'muon', 'using', '535', 'fb1', 'of', 'data', 'collected', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'asymmetricenergy', 'ee', 'collider', 'no', 'evidence', 'for', 'these', 'decays', 'is', 'observed', 'and', 'we', 'set', '90', 'confidence', 'level', 'upper', 'limits', 'on', 'the', 'branching', 'fractions', 'of', '2041x108', 'these', 'results', 'improve', 'upon', 'our', 'previously', 'published', 'upper', 'limits', 'by', 'factors', 'of', '49', 'to', '10']] | [-0.0441688713146418, 0.19548600269777197, -0.018508783940758024, 0.11697097603298191, -0.076386173558791, -0.11279544979333878, 0.17195152747444808, 0.3017059143277861, -0.08540883083783445, -0.36002790336571044, 0.028922778428606098, -0.47425922881516197, 0.09999515436634067, 0.24920467601808172, 0.13498382982871834, 0.14958922359316298, 0.16098574424044243, -0.03166641215128558, -0.016379043969902255, -0.28676783024436897, 0.17989386083735598, 0.10152943261219041, 0.2599472892248914, 0.1061345566551955, 0.05186818810068958, -0.056316936159476874, -0.07462810429315718, -0.103717415667479, -0.15674544015662775, 0.05587369901505077, 0.2322867316792586, 0.20196495160076117, 0.08439411406242658, -0.3849491589067001, 0.05552867804801771, 0.18369853412288994, 0.16556180346505864, -0.018834545055315607, -0.03930291655429062, -0.42853701642404, 0.16515128403192475, -0.1995269725660956, -0.029097136671817493, 0.010311422625645286, 0.026470020867972857, -0.12152368207240388, -0.3458127109629531, 0.05386776190310243, -0.04475310193522582, 0.11392673172171243, -0.06778678890051586, -0.3242169054491179, 0.022796551770870647, -0.06177878165100184, 0.04801886624449657, 0.015323380313699118, 0.21128282531918513, -0.10163473339367007, -0.2705809250769634, 0.25870499647562467, -0.10998834459049191, -0.1176447195947052, 0.24635373227416524, -0.3044287034916499, -0.16564199643298275, 0.22723587954209912, 0.30993439959332586, -0.0338840199604867, -0.25335107029726106, 0.13422936002912356, -0.03773602602323369, 0.17338520539776672, 0.12344285829495343, 0.07694308101088695, 0.1664367664738425, 0.23188077880158312, 0.05536141017422316, 0.0639047855104778, -0.18858262250155566, 0.0371052726718878, -0.40818530112127993, -0.09817770680797006, -0.02977042246816887, 0.08883087407235825, -0.007575457834126797, -0.015465625088721041, 0.35260664902272676, 0.08693865141166109, 0.3465749117590132, 0.05901256586158914, 0.2976533994891696, 0.1318052689739344, 0.0388033033615636, 0.06512553251181204, 0.3389112327528733, 0.0805648414395927, 0.09216887123202758, -0.2187814917637124, 0.02833521253030215, 0.021034084556121675] |
711.219 | Integer operators in finite von Neumann algebras | Motivated by the study of spectral properties of self-adjoint operators in
the integral group ring of a sofic group, we define and study integer
operators. We establish a relation with classical potential theory and in
particular the circle of results obtained by M. Fekete and G. Szeg"o. More
concretely, we use results by R. Rumely on equidistribution of algebraic
integers to obtain a description of those integer operator which have spectrum
of logarithmic capacity less or equal to one.
Finally, we relate the study of integer operators to a recent construction by
B. and L. Petracovici and A. Zaharescu.
| math.FA math.NT | motivated by the study of spectral properties of selfadjoint operators in the integral group ring of a sofic group we define and study integer operators we establish a relation with classical potential theory and in particular the circle of results obtained by m fekete and g szego more concretely we use results by r rumely on equidistribution of algebraic integers to obtain a description of those integer operator which have spectrum of logarithmic capacity less or equal to one finally we relate the study of integer operators to a recent construction by b and l petracovici and a zaharescu | [['motivated', 'by', 'the', 'study', 'of', 'spectral', 'properties', 'of', 'selfadjoint', 'operators', 'in', 'the', 'integral', 'group', 'ring', 'of', 'a', 'sofic', 'group', 'we', 'define', 'and', 'study', 'integer', 'operators', 'we', 'establish', 'a', 'relation', 'with', 'classical', 'potential', 'theory', 'and', 'in', 'particular', 'the', 'circle', 'of', 'results', 'obtained', 'by', 'm', 'fekete', 'and', 'g', 'szego', 'more', 'concretely', 'we', 'use', 'results', 'by', 'r', 'rumely', 'on', 'equidistribution', 'of', 'algebraic', 'integers', 'to', 'obtain', 'a', 'description', 'of', 'those', 'integer', 'operator', 'which', 'have', 'spectrum', 'of', 'logarithmic', 'capacity', 'less', 'or', 'equal', 'to', 'one', 'finally', 'we', 'relate', 'the', 'study', 'of', 'integer', 'operators', 'to', 'a', 'recent', 'construction', 'by', 'b', 'and', 'l', 'petracovici', 'and', 'a', 'zaharescu']] | [-0.18042491152953852, 0.07593012521309513, -0.10235525923305933, 0.045506169753415246, -0.07686975243624908, -0.15879099992369966, 0.06360109645085722, 0.3063255581168496, -0.2570198323929264, -0.2504725277956043, 0.12242450171544654, -0.2982569683191119, -0.18063325016303178, 0.19263760363968202, -0.08828825358424944, 0.036871301437899164, 0.03223015908722063, 0.08798730893212618, -0.11716439738413509, -0.23020991812251052, 0.4019013281712042, 0.010555046601030899, 0.14702504774441524, 0.05455441119586479, 0.041641682871066184, 0.03759135767266306, -0.08190376379489138, 0.012375298336300314, -0.1960554190303142, 0.1747554135793934, 0.25183691380887613, 0.07369362063496848, 0.2532095210816787, -0.3930689743815028, -0.16379303076008705, 0.15412865093510067, 0.10152467478503835, -0.01148790450011171, -0.015197001088307268, -0.26724165830076957, 0.12784293645099565, -0.16994652213357694, -0.1570665445558879, -0.09651921670503762, 0.0957416118555037, 0.033016683393614174, -0.27188129145747086, 0.025150889963177697, 0.09987901540340058, 0.11572141502983868, -0.04387141083728294, -0.13176493386723748, 0.00673453120172632, 0.060162445162042825, 0.0018255136793061178, 0.03474928031209856, 0.05601653584507199, -0.0613505535863568, -0.14775734912718133, 0.33991327177619146, -0.11956812577305495, -0.19718771686359327, 0.11894081543408791, -0.2129294699751677, -0.12381699244130631, 0.0469578049212162, 0.12839001484633406, 0.16155608236428579, -0.07679026510224354, 0.16771411982885256, -0.12994472867315066, 0.0896280967792002, 0.07535568997263908, 0.04379297953517157, 0.11576629671439224, 0.034231842427790087, 0.09357267189848151, 0.16926685844700098, 0.04261171582810657, -0.03470731525662906, -0.2946812356537094, -0.16491922653756552, -0.17730890910084152, 0.12216745084151626, -0.09353349719369398, -0.13280901703413348, 0.3964536499175034, 0.11694911458916792, 0.22585421740742667, 0.12398286449974782, 0.20059725369578607, 0.1375813323206135, 0.05259894334285862, 0.04715802683019821, 0.09577389921736429, 0.21912387125574204, 0.01584105468735251, -0.1986878881021878, -0.08656101203309752, 0.2078117891214788] |
711.2191 | Uniqueness of a constrained variational problem and large deviations of
buffer size | We show global uniqueness of the solution to a class of constrained
variational problems, using scaling properties. This is used to establish the
essential uniqueness of solutions of a large deviations problem in multiple
dimensions. The result is motivated by models of buffers, and in particular the
probability of, and typical path to overflow in the limit of small buffers,
which we analyze.
| math.PR math.OC | we show global uniqueness of the solution to a class of constrained variational problems using scaling properties this is used to establish the essential uniqueness of solutions of a large deviations problem in multiple dimensions the result is motivated by models of buffers and in particular the probability of and typical path to overflow in the limit of small buffers which we analyze | [['we', 'show', 'global', 'uniqueness', 'of', 'the', 'solution', 'to', 'a', 'class', 'of', 'constrained', 'variational', 'problems', 'using', 'scaling', 'properties', 'this', 'is', 'used', 'to', 'establish', 'the', 'essential', 'uniqueness', 'of', 'solutions', 'of', 'a', 'large', 'deviations', 'problem', 'in', 'multiple', 'dimensions', 'the', 'result', 'is', 'motivated', 'by', 'models', 'of', 'buffers', 'and', 'in', 'particular', 'the', 'probability', 'of', 'and', 'typical', 'path', 'to', 'overflow', 'in', 'the', 'limit', 'of', 'small', 'buffers', 'which', 'we', 'analyze']] | [-0.13685151859230937, 0.024339195355654708, -0.04784662112416256, 0.0924676483116364, -0.017607745581439564, -0.09554832113818043, 0.1005481388789439, 0.3123766363613189, -0.3280662631704694, -0.2893872870694077, 0.15912826877966937, -0.2461938416319234, -0.12783085164569674, 0.1757289363987862, -0.10877069855286252, 0.12381926379979603, 0.07053680717945099, 0.018083894122687596, -0.06501911929438985, -0.20362598580559568, 0.35846492736822083, 0.0038898328526152503, 0.24720045587136633, 0.07390587287585414, 0.12421293020071018, -0.008258774026577908, 0.009823310055903025, 0.06392598449296895, -0.16088194455138394, 0.1583860389396755, 0.24025101161134357, 0.11999563024275833, 0.2848620338749791, -0.4273477592283771, -0.21109647629228198, 0.1349183685028009, 0.12980380886796092, 0.12727648338546887, -0.02933753002434969, -0.2529296498331759, 0.14886276650109462, -0.1505044298098674, -0.18719016681499187, -0.04414345681785591, -0.000521298490523819, 0.07793465061556726, -0.29613155750409953, 0.0631235588401083, 0.06779278717225506, -0.0028811098475541386, -0.10890988347726682, -0.04594798088221559, 0.015231546116179771, 0.14729698882659986, 0.10925034228860149, -0.0398302314551695, 0.03361196374698054, -0.16517511181282027, -0.11020876944161183, 0.37095032383998233, -0.06578530193794341, -0.20668561004161362, 0.20969494667259, -0.11254124359841207, -0.1518911665808114, 0.09717544964292929, 0.20292810568704256, 0.1641892982898132, -0.16230212724102394, 0.11140017373864317, -0.06323903768012921, 0.15795817767225562, 0.051909588410386016, 0.03555618612361806, 0.13041456001923912, 0.21478397716649822, 0.10201474360471206, 0.18808162788165703, -0.07826985086273727, -0.11208870604131667, -0.29681443014378023, -0.15424643951423822, -0.18008140204030842, 0.06380273846702443, -0.09593553614889508, -0.17265289330056735, 0.35842327194081414, 0.18062657961947104, 0.21499351237804468, 0.1112233769714034, 0.23240008190392503, 0.15043249576988202, 0.0290129826596332, 0.08852970073487432, 0.21693725824829133, 0.12877756445890381, 0.09824161269953327, -0.19431483368980623, 0.04524751768137018, 0.08938259091819563] |
711.2192 | Coagulation, fragmentation and radial motion of solid particles in
protoplanetary disks | The growth of solid particles towards meter sizes in protoplanetary disks has
to circumvent at least two hurdles, namely the rapid loss of material due to
radial drift and particle fragmentation due to destructive collisions. In this
paper, we present the results of numerical simulations with more and more
realistic physics involved. Step by step, we include various effects, such as
particle growth, radial/vertical particle motion and dust particle
fragmentation in our simulations. We demonstrate that the initial dust-to-gas
ratio is essential for the particles to overcome the radial drift barrier. If
this value is increased by a factor of 2 compared with the canonical value for
the interstellar medium, km-sized bodies can form in the inner disk <2 AU
within 10 thousand years. However, we find that solid particles get destroyed
through collisional fragmentation. Only with the unrealistically high-threshold
velocities needed for fragmentation to occur (>30 m/s), particles are able to
grow to larger sizes in low turbulent disks. We also find that less than 5% of
the small dust grains remain in the disk after 1 Myrs due to radial drift, no
matter whether fragmentation is included in the simulations or not. In this
paper, we also present considerable improvements to existing algorithms for
dust-particle coagulation, which speed up the coagulation scheme by a factor of
10 thousand.
| astro-ph | the growth of solid particles towards meter sizes in protoplanetary disks has to circumvent at least two hurdles namely the rapid loss of material due to radial drift and particle fragmentation due to destructive collisions in this paper we present the results of numerical simulations with more and more realistic physics involved step by step we include various effects such as particle growth radialvertical particle motion and dust particle fragmentation in our simulations we demonstrate that the initial dusttogas ratio is essential for the particles to overcome the radial drift barrier if this value is increased by a factor of 2 compared with the canonical value for the interstellar medium kmsized bodies can form in the inner disk 2 au within 10 thousand years however we find that solid particles get destroyed through collisional fragmentation only with the unrealistically highthreshold velocities needed for fragmentation to occur 30 ms particles are able to grow to larger sizes in low turbulent disks we also find that less than 5 of the small dust grains remain in the disk after 1 myrs due to radial drift no matter whether fragmentation is included in the simulations or not in this paper we also present considerable improvements to existing algorithms for dustparticle coagulation which speed up the coagulation scheme by a factor of 10 thousand | [['the', 'growth', 'of', 'solid', 'particles', 'towards', 'meter', 'sizes', 'in', 'protoplanetary', 'disks', 'has', 'to', 'circumvent', 'at', 'least', 'two', 'hurdles', 'namely', 'the', 'rapid', 'loss', 'of', 'material', 'due', 'to', 'radial', 'drift', 'and', 'particle', 'fragmentation', 'due', 'to', 'destructive', 'collisions', 'in', 'this', 'paper', 'we', 'present', 'the', 'results', 'of', 'numerical', 'simulations', 'with', 'more', 'and', 'more', 'realistic', 'physics', 'involved', 'step', 'by', 'step', 'we', 'include', 'various', 'effects', 'such', 'as', 'particle', 'growth', 'radialvertical', 'particle', 'motion', 'and', 'dust', 'particle', 'fragmentation', 'in', 'our', 'simulations', 'we', 'demonstrate', 'that', 'the', 'initial', 'dusttogas', 'ratio', 'is', 'essential', 'for', 'the', 'particles', 'to', 'overcome', 'the', 'radial', 'drift', 'barrier', 'if', 'this', 'value', 'is', 'increased', 'by', 'a', 'factor', 'of', '2', 'compared', 'with', 'the', 'canonical', 'value', 'for', 'the', 'interstellar', 'medium', 'kmsized', 'bodies', 'can', 'form', 'in', 'the', 'inner', 'disk', '2', 'au', 'within', '10', 'thousand', 'years', 'however', 'we', 'find', 'that', 'solid', 'particles', 'get', 'destroyed', 'through', 'collisional', 'fragmentation', 'only', 'with', 'the', 'unrealistically', 'highthreshold', 'velocities', 'needed', 'for', 'fragmentation', 'to', 'occur', '30', 'ms', 'particles', 'are', 'able', 'to', 'grow', 'to', 'larger', 'sizes', 'in', 'low', 'turbulent', 'disks', 'we', 'also', 'find', 'that', 'less', 'than', '5', 'of', 'the', 'small', 'dust', 'grains', 'remain', 'in', 'the', 'disk', 'after', '1', 'myrs', 'due', 'to', 'radial', 'drift', 'no', 'matter', 'whether', 'fragmentation', 'is', 'included', 'in', 'the', 'simulations', 'or', 'not', 'in', 'this', 'paper', 'we', 'also', 'present', 'considerable', 'improvements', 'to', 'existing', 'algorithms', 'for', 'dustparticle', 'coagulation', 'which', 'speed', 'up', 'the', 'coagulation', 'scheme', 'by', 'a', 'factor', 'of', '10', 'thousand']] | [-0.05465854174372825, 0.18473744159987704, -0.04837425085133873, 0.04608084861697121, -0.010888614468885035, -0.06425548546354878, -0.009211768985683606, 0.37653920213183895, -0.23767180807295848, -0.3444342633624646, 0.08079352350693873, -0.23919802953023464, -0.0419136026440273, 0.15919351764578923, -0.03735173051004908, 0.049495834831825715, 0.08811449239252728, -0.09174447122283957, -0.02158738887043331, -0.25998311362186954, 0.3145462650297718, 0.09416093094888228, 0.12482422809116542, 0.06468254341823261, 0.0675239459979242, -0.07185270285699516, -0.032255627603312444, 0.002096160729839043, -0.19537488247042348, 0.06029912718500286, 0.1825099760740572, 0.05776934225101617, 0.3006883701224896, -0.4832973325201734, -0.20590670089374974, 0.09066061478700828, 0.20550556194291197, 0.123894450846869, -0.08506739848804004, -0.18376047734213485, 0.10908016278931014, -0.2055359739027071, -0.17999322890219363, 0.0014599851665976033, 0.09939125774941535, -0.0030604069586843254, -0.2685892032274172, 0.13315108068133916, 0.059715959994884375, 0.03355328170000575, -0.04858619685877453, -0.12016871063123373, -0.011031220730034296, 0.06177432307687757, 0.07723678450671617, 0.034341364104131404, 0.22474164164159446, -0.13949461376786612, -0.04547131033614278, 0.426197205805643, -0.057451660353597785, -0.16403646173950454, 0.2585520385711623, -0.22005866974941454, -0.09303384475325319, 0.2267454994884743, 0.2037678669503128, 0.10162497924175114, -0.1304478275319773, -0.025585482187108773, -0.00025893385437401856, 0.19014748863833533, 0.12549366057659922, 0.006825641726291823, 0.21945120200768792, 0.1674708539281379, 0.05596760464091362, 0.10407458354232156, -0.14203459445111963, -0.10708189969035713, -0.2507564647509505, -0.16264874347570268, -0.14139184053003026, 0.0509218869847907, -0.11679758356800779, -0.10348412942965463, 0.28874648448815027, 0.18086720946012064, 0.22039612522613342, 0.050627377634042535, 0.3030251830541105, 0.06326066465117038, 0.1230818606172265, 0.12157466260250657, 0.2889852524703284, 0.09590351276036183, 0.12576469529647677, -0.19905315505827523, 0.09478844867871059, -0.013555001265327023] |
711.2193 | Dynamical Coupled-Channels Analysis at EBAC | The status of dynamical coupled-channel analysis at Excited Baryon Analysis
Center (EBAC) of Jefferson Laboratory is reported.
| nucl-th | the status of dynamical coupledchannel analysis at excited baryon analysis center ebac of jefferson laboratory is reported | [['the', 'status', 'of', 'dynamical', 'coupledchannel', 'analysis', 'at', 'excited', 'baryon', 'analysis', 'center', 'ebac', 'of', 'jefferson', 'laboratory', 'is', 'reported']] | [-0.06684976531302228, 0.2123599439201986, -0.16014633549596458, 0.007330528385115459, -0.06987056837362401, -0.06783436017576605, 0.10950926778947606, 0.18567153438925743, -0.09343407149700557, -0.24601577266174204, -0.023559835136813277, -0.40885192374972734, 0.056645080666331685, 0.13334204409928882, 0.19715752649833174, 0.15738910743418863, 0.13048125617206097, 0.03978418547879247, 0.011281802373773912, -0.08363423129434094, 0.29483240119674625, 0.15590964301544077, 0.3019583290990661, 0.12333278357982635, 0.017601305509314817, 0.014910556841641665, -0.12344339122201371, -0.11716841763871558, -0.1135825514793396, -0.01763824828188209, 0.3640702676904552, 0.1494329385459423, 0.20111149680965087, -0.376037687611054, -0.13104715987163432, 0.05868128566619228, 0.16086719920584822, 0.23290693650350852, -0.08383446351131972, -0.4179029512931319, 0.10324449689291856, -0.17199242027366862, -0.30351701126817393, -0.050733553903067816, 0.04120135931845974, -0.09588965926976765, -0.21433536029037306, 0.1469872756039395, -0.19623085821684286, 0.2371243357877521, -0.16883091628551483, -0.3042135313153267, -0.023126709904959974, 0.007836475420524092, -0.024391924483044183, 0.10574081455193021, 0.2972691781161463, -0.036865297814502436, -0.12425423051942797, 0.40955648790387544, 0.04367305681465522, 0.004349284093169605, 0.11347044927670676, -0.3004194479983519, -0.22612135594382005, 0.07182380518711665, 0.22119772982071428, 0.007742461255368064, -0.2035817089764511, 0.0678724873372737, -0.08164310592281468, 0.16758425495422938, 0.12280849707038964, -0.051369094015920866, 0.1717639346333111, 0.29372058923849287, -0.10414723838296007, -0.045695577693336153, -0.11835381870760638, -0.07277710004435743, -0.4056829323663431, 0.00855722201659399, -0.10509215174790691, 0.04762507776510628, 0.1089359999031705, 0.03548212053582949, 0.38183619837988825, 0.04023412264445249, 0.15773167537854, -0.08815065407029846, 0.3580377969671698, 0.06559324220699422, 0.04370485432446003, 0.010079651221852092, 0.32108327176641016, 0.2515650899971233, 0.18897008917787494, -0.4206455470720196, -0.027886605164145723, 0.029698380488244927] |
711.2194 | Operator Product Expansion of Wilson surfaces from M5-branes | The operator product expansion (OPE) of the Wilson surface operators in
six-dimensional (2, 0) superconformal field theory is studied from AdS/CFT
correspondence in this paper. We compute the OPE coefficients of the chiral
primary operators using the M5-brane description for spherical Wilson surface
operators in higher dimensional representations. We use the non-chiral M5-brane
action in our calculation. We also discuss their membrane limit, and compare
our results with the ones obtained from membrane description.
| hep-th | the operator product expansion ope of the wilson surface operators in sixdimensional 2 0 superconformal field theory is studied from adscft correspondence in this paper we compute the ope coefficients of the chiral primary operators using the m5brane description for spherical wilson surface operators in higher dimensional representations we use the nonchiral m5brane action in our calculation we also discuss their membrane limit and compare our results with the ones obtained from membrane description | [['the', 'operator', 'product', 'expansion', 'ope', 'of', 'the', 'wilson', 'surface', 'operators', 'in', 'sixdimensional', '2', '0', 'superconformal', 'field', 'theory', 'is', 'studied', 'from', 'adscft', 'correspondence', 'in', 'this', 'paper', 'we', 'compute', 'the', 'ope', 'coefficients', 'of', 'the', 'chiral', 'primary', 'operators', 'using', 'the', 'm5brane', 'description', 'for', 'spherical', 'wilson', 'surface', 'operators', 'in', 'higher', 'dimensional', 'representations', 'we', 'use', 'the', 'nonchiral', 'm5brane', 'action', 'in', 'our', 'calculation', 'we', 'also', 'discuss', 'their', 'membrane', 'limit', 'and', 'compare', 'our', 'results', 'with', 'the', 'ones', 'obtained', 'from', 'membrane', 'description']] | [-0.09235066542326398, 0.12026789864349002, -0.06434094626456499, 0.030212780794229458, -0.029481504499484355, -0.08720906884283633, -0.026773321398257, 0.3445178088354501, -0.16513886297675404, -0.18844281247741468, 0.07846795415153375, -0.31590546049630724, -0.23200714263460925, 0.11224208416014507, -0.06457116339132316, 0.029534746401918097, 0.030366328035204393, 0.07297103219929882, -0.17005599940799782, -0.20471761062288205, 0.3627974249082743, -0.007265644909411266, 0.27080002058347735, 0.11412530238866, 0.04649968072772026, 0.02171812631894608, -0.041458653865029685, -0.0523509884102119, -0.14559693266385915, 0.22298007585561355, 0.23765219303439497, 0.015886647236608976, 0.047876787117078295, -0.48090976625177506, -0.18514613922672798, 0.02018465891455275, 0.18725297193521181, 0.1354243817512651, 0.03150421121736636, -0.24571406312689587, 0.02700037882990531, -0.22297564799570152, -0.1820096870305369, -0.12448585520473283, -0.030869132617324893, -0.1260960642500101, -0.26684836650619637, 0.0784201809559867, -0.0022605446519682534, 0.09480370720848441, -0.13330795036981236, -0.10535940686177865, -0.05510926695628646, 0.13791138649842627, 0.11913124513120164, 0.05514399185021584, 0.1529136331361794, -0.1976043682186935, -0.1430871343819072, 0.3227051119949367, -0.12057332652998534, -0.23419208330026753, 0.1333933620763993, -0.21749345053654365, -0.15636377738839066, 0.04546113994119632, 0.11214192957629927, 0.1999503152595984, -0.12549552928052238, 0.21797327582670906, -0.05030313487529654, 0.07145030689866257, 0.15079692056452906, -0.004397526540717966, 0.20069987830907307, 0.07261533817477725, 0.016644426275397074, 0.16764500892305798, -0.0019168668690867521, -0.09823181628677491, -0.40986589538688595, -0.14637882983614062, -0.13745926009377818, 0.09715050725719414, -0.1898098656956053, -0.16282318144678012, 0.37506759773335746, 0.1507009947633157, 0.2016177613200066, 0.08813921591216647, 0.223511436878628, 0.14651804395032594, 0.0999758122205684, 0.056840766756166075, 0.21439160658298312, 0.21162188264566498, 0.09511285645232813, -0.24610440718714852, -0.18202271783170668, 0.27113826830896576] |
711.2195 | Cyclic coverings, Calabi-Yau manifolds and Complex multiplication | We construct families of Calabi-Yau manifolds with dense set of complex
multiplication fibers in an arbitrary dimension. We will also give explicite
examples of complex multiplication fibers. For this construction we use
families of curves with dense set of complex multiplication fibers. In
addition, we give examples of such families for each genus less or equal 7 and
we study the generic Hodge groups of families of cyclic covers of the
projective line.
| math.AG | we construct families of calabiyau manifolds with dense set of complex multiplication fibers in an arbitrary dimension we will also give explicite examples of complex multiplication fibers for this construction we use families of curves with dense set of complex multiplication fibers in addition we give examples of such families for each genus less or equal 7 and we study the generic hodge groups of families of cyclic covers of the projective line | [['we', 'construct', 'families', 'of', 'calabiyau', 'manifolds', 'with', 'dense', 'set', 'of', 'complex', 'multiplication', 'fibers', 'in', 'an', 'arbitrary', 'dimension', 'we', 'will', 'also', 'give', 'explicite', 'examples', 'of', 'complex', 'multiplication', 'fibers', 'for', 'this', 'construction', 'we', 'use', 'families', 'of', 'curves', 'with', 'dense', 'set', 'of', 'complex', 'multiplication', 'fibers', 'in', 'addition', 'we', 'give', 'examples', 'of', 'such', 'families', 'for', 'each', 'genus', 'less', 'or', 'equal', '7', 'and', 'we', 'study', 'the', 'generic', 'hodge', 'groups', 'of', 'families', 'of', 'cyclic', 'covers', 'of', 'the', 'projective', 'line']] | [-0.20109433833866902, 0.08907808174163084, -0.017222211811028114, 0.046058487879074086, -0.05435937088722848, -0.12215248398380736, -0.045325121488294574, 0.4116575007696878, -0.25048226615643665, -0.22507812243516315, 0.11544183769569516, -0.24245421877007275, -0.21271790489745773, 0.26862428136080607, -0.1649634021410897, -0.003514882917069409, 0.04684746786250337, 0.04863845827440693, -0.11285526990533283, -0.3464370035145381, 0.4720378860142337, -0.08708364086557333, 0.16338920361068968, 0.005395815994794646, 0.09642253678343067, 0.010571956921572962, -0.039794634281313176, -0.043406387338134116, -0.18925914595745605, 0.2131892281316527, 0.28650083895517536, 0.10342786404023534, 0.10479293086196054, -0.37865357631689883, -0.1633039109296427, 0.263209241225499, 0.11447584130227158, 0.07348020905501222, -0.027004199045110647, -0.19105706912503667, 0.10526884469675692, -0.14458839304439008, -0.23144652624295592, -0.14637807974821493, 0.04777542140641033, 0.07206678372323003, -0.20071499770481702, -0.0652079545890383, 0.07938440700304018, 0.16340014939387776, -0.007352965003619455, -0.10735476570688698, -0.008912000007774324, 0.05922062110876639, -0.07151987839949457, -0.055815508821979165, 0.07429061276991278, -0.08732675444270956, -0.12012663753328474, 0.340423177640681, -0.03333130235184137, -0.2179012846150627, 0.18043508436785985, -0.11240110290236771, -0.17924331419476092, 0.17965049785242915, 0.18694900776170295, 0.17894366985722765, 0.0015313248724153597, 0.11103425942575049, -0.10022218247288711, 0.11185258075799027, 0.1625864206468814, 0.0059861961548050785, 0.10577259279073101, 0.12465668872815289, 0.08384195197220534, 0.16919021817619517, -0.034569298242512224, -0.05025355158093041, -0.381914626347692, -0.2288362542394555, -0.06008804779601832, 0.15561040531690806, -0.14748783509724628, -0.21271269227862868, 0.46108708316332675, -0.006223704308679659, 0.22922200713408727, 0.10766740399412811, 0.22065247878534336, -0.004064877545827846, 0.06192727439258605, 0.05968981654676672, 0.087235738561578, 0.19699355949685998, -0.050323219076819616, -0.06057582420539366, -0.11031545557987506, 0.12823394743393954] |
711.2196 | Baryon scattering at high energies: wave function, impact factor, and
gluon radiation | The scattering of a baryon consisting of three massive quarks is investigated
in the high energy limit of perturbative QCD. A model of a relativistic
proton-like wave function, dependent on valence quark longitudinal and
transverse momenta and on quark helicities, is proposed, and we derive the
baryon impact factors for two, three and four t-channel gluons. We find that
the baryonic impact factor can be written as a sum of three pieces: in the
first one a subsystem consisting of two of the three quarks behaves very much
like the quark-antiquark pair in gamma* scattering, whereas the third quark
acts as a spectator. The second term belongs to the odderon, whereas in the
third (C-even) piece all three quarks participate in the scattering. This term
is new and has no analogue in gamma* scattering. We also study the small x
evolution of gluon radiation for each of these three terms. The first term
follows the same pattern of gluon radiation as the gamma*-initiated
quark-antiquark dipole, and, in particular, it contains the BFKL evolution
followed by the 2-->4 transition vertex (triple Pomeron vertex). The
odderon-term is described by the standard BKP evolution, and the baryon couples
to both known odderon solutions, the Janik-Wosiek solution and the BLV
solution. Finally, the t-channel evolution of the third term starts with a
three reggeized gluon state which then, via a new 3-->4 transition vertex,
couples to the four gluon (two-Pomeron) state. We briefly discuss a few
consequences of these findings, in particular the pattern of unitarization of
high energy baryon scattering amplitudes.
| hep-ph | the scattering of a baryon consisting of three massive quarks is investigated in the high energy limit of perturbative qcd a model of a relativistic protonlike wave function dependent on valence quark longitudinal and transverse momenta and on quark helicities is proposed and we derive the baryon impact factors for two three and four tchannel gluons we find that the baryonic impact factor can be written as a sum of three pieces in the first one a subsystem consisting of two of the three quarks behaves very much like the quarkantiquark pair in gamma scattering whereas the third quark acts as a spectator the second term belongs to the odderon whereas in the third ceven piece all three quarks participate in the scattering this term is new and has no analogue in gamma scattering we also study the small x evolution of gluon radiation for each of these three terms the first term follows the same pattern of gluon radiation as the gammainitiated quarkantiquark dipole and in particular it contains the bfkl evolution followed by the 24 transition vertex triple pomeron vertex the odderonterm is described by the standard bkp evolution and the baryon couples to both known odderon solutions the janikwosiek solution and the blv solution finally the tchannel evolution of the third term starts with a three reggeized gluon state which then via a new 34 transition vertex couples to the four gluon twopomeron state we briefly discuss a few consequences of these findings in particular the pattern of unitarization of high energy baryon scattering amplitudes | [['the', 'scattering', 'of', 'a', 'baryon', 'consisting', 'of', 'three', 'massive', 'quarks', 'is', 'investigated', 'in', 'the', 'high', 'energy', 'limit', 'of', 'perturbative', 'qcd', 'a', 'model', 'of', 'a', 'relativistic', 'protonlike', 'wave', 'function', 'dependent', 'on', 'valence', 'quark', 'longitudinal', 'and', 'transverse', 'momenta', 'and', 'on', 'quark', 'helicities', 'is', 'proposed', 'and', 'we', 'derive', 'the', 'baryon', 'impact', 'factors', 'for', 'two', 'three', 'and', 'four', 'tchannel', 'gluons', 'we', 'find', 'that', 'the', 'baryonic', 'impact', 'factor', 'can', 'be', 'written', 'as', 'a', 'sum', 'of', 'three', 'pieces', 'in', 'the', 'first', 'one', 'a', 'subsystem', 'consisting', 'of', 'two', 'of', 'the', 'three', 'quarks', 'behaves', 'very', 'much', 'like', 'the', 'quarkantiquark', 'pair', 'in', 'gamma', 'scattering', 'whereas', 'the', 'third', 'quark', 'acts', 'as', 'a', 'spectator', 'the', 'second', 'term', 'belongs', 'to', 'the', 'odderon', 'whereas', 'in', 'the', 'third', 'ceven', 'piece', 'all', 'three', 'quarks', 'participate', 'in', 'the', 'scattering', 'this', 'term', 'is', 'new', 'and', 'has', 'no', 'analogue', 'in', 'gamma', 'scattering', 'we', 'also', 'study', 'the', 'small', 'x', 'evolution', 'of', 'gluon', 'radiation', 'for', 'each', 'of', 'these', 'three', 'terms', 'the', 'first', 'term', 'follows', 'the', 'same', 'pattern', 'of', 'gluon', 'radiation', 'as', 'the', 'gammainitiated', 'quarkantiquark', 'dipole', 'and', 'in', 'particular', 'it', 'contains', 'the', 'bfkl', 'evolution', 'followed', 'by', 'the', '24', 'transition', 'vertex', 'triple', 'pomeron', 'vertex', 'the', 'odderonterm', 'is', 'described', 'by', 'the', 'standard', 'bkp', 'evolution', 'and', 'the', 'baryon', 'couples', 'to', 'both', 'known', 'odderon', 'solutions', 'the', 'janikwosiek', 'solution', 'and', 'the', 'blv', 'solution', 'finally', 'the', 'tchannel', 'evolution', 'of', 'the', 'third', 'term', 'starts', 'with', 'a', 'three', 'reggeized', 'gluon', 'state', 'which', 'then', 'via', 'a', 'new', '34', 'transition', 'vertex', 'couples', 'to', 'the', 'four', 'gluon', 'twopomeron', 'state', 'we', 'briefly', 'discuss', 'a', 'few', 'consequences', 'of', 'these', 'findings', 'in', 'particular', 'the', 'pattern', 'of', 'unitarization', 'of', 'high', 'energy', 'baryon', 'scattering', 'amplitudes']] | [-0.12310404015895654, 0.2339043905195417, -0.09638275960955299, 0.11696881280550146, -0.072772638077525, -0.07224246270782278, 0.028183464540212644, 0.29031915567800637, -0.21307388315890277, -0.22502192661650186, 0.0066723393598996745, -0.3396100405214985, -0.06203227945237685, 0.09766517180076793, 0.0861557416132501, 0.015562800102955184, 0.042513887130281355, 0.0704545907788052, -0.036999839951108233, -0.22768977405796723, 0.39024504441511265, -0.03936590913290847, 0.21832298428346367, 0.13192882668410288, 0.1183408739019596, 0.056310399512459676, -0.05788748224053209, -0.036851252445687106, -0.06650892583443989, 0.030754962419049712, 0.18026912005047138, 0.04805184761428927, 0.17378140325698357, -0.3779924455773467, -0.1451426676711009, 0.07025281004800175, 0.16082201333987842, 0.12210770343809836, -0.02409790977963987, -0.20437405696945396, 0.04673087486527919, -0.23702172717944844, -0.1609808214184806, -0.04662071739866098, 0.0018534855222729159, -0.021254930481833488, -0.3065989415186978, 0.07494692251764103, 0.004029928426089601, -0.04486499135254142, -0.030168262837861674, -0.17618821622752476, -0.07205092960117956, 0.08185325130452695, 0.1018201784834845, 0.10141011780837375, 0.10377573071406992, -0.20431832075070894, -0.1480320619894045, 0.4090098620155885, -0.10454520040423625, -0.18424817083099138, 0.13466218953372866, -0.18348199353754102, -0.14506444546548047, 0.12834021342298618, 0.15546078666289315, 0.10493944447366595, -0.20525488936283634, 0.09135745426067118, -0.01727769920398714, 0.15050690897234428, 0.11433324240437731, 0.057494885742382006, 0.20562135975067247, 0.19228047922466274, -0.027443854448084875, 0.13062441311950804, -0.092501697962825, -0.09459899575449526, -0.39651907862010083, -0.10860318433874705, -0.1375192574534279, 0.03959298854542293, -0.11279288427785084, -0.15132941416552745, 0.4332112559359374, 0.05505688360188817, 0.21118476255026858, -0.014155071682945686, 0.29569898850805176, 0.13912547196630082, 0.06983064832605833, 0.08625776354062158, 0.2768697185033023, 0.16561358625446923, 0.13312550665678705, -0.27619413049457553, -0.026281788321871925, 0.10092780136642611] |
711.2197 | Nonequilibrium Phase Transitions into Absorbing States: Focused around
the pair contact process with diffusion | Systems with absorbing (trapped) states may exhibit a nonequilibrium phase
transition from a noise-free inactive phase into an ever-lasting active phase.
We briefly review the absorbing critical phenomena and universality classes,
and discuss over the controversial issues on the pair contact process with
diffusion (PCPD). Two different approaches are proposed to clarify its
universality issue, which unveil strong evidences that the PCPD belongs to a
new universality class other than the directed percolation class.
| cond-mat.stat-mech | systems with absorbing trapped states may exhibit a nonequilibrium phase transition from a noisefree inactive phase into an everlasting active phase we briefly review the absorbing critical phenomena and universality classes and discuss over the controversial issues on the pair contact process with diffusion pcpd two different approaches are proposed to clarify its universality issue which unveil strong evidences that the pcpd belongs to a new universality class other than the directed percolation class | [['systems', 'with', 'absorbing', 'trapped', 'states', 'may', 'exhibit', 'a', 'nonequilibrium', 'phase', 'transition', 'from', 'a', 'noisefree', 'inactive', 'phase', 'into', 'an', 'everlasting', 'active', 'phase', 'we', 'briefly', 'review', 'the', 'absorbing', 'critical', 'phenomena', 'and', 'universality', 'classes', 'and', 'discuss', 'over', 'the', 'controversial', 'issues', 'on', 'the', 'pair', 'contact', 'process', 'with', 'diffusion', 'pcpd', 'two', 'different', 'approaches', 'are', 'proposed', 'to', 'clarify', 'its', 'universality', 'issue', 'which', 'unveil', 'strong', 'evidences', 'that', 'the', 'pcpd', 'belongs', 'to', 'a', 'new', 'universality', 'class', 'other', 'than', 'the', 'directed', 'percolation', 'class']] | [-0.12224446135774455, 0.22364545445688655, -0.04791314351038907, 0.07715836619243763, -0.05320745349446362, -0.2335579376667738, 0.09913766034249519, 0.36665824989511353, -0.2554294601762416, -0.2323163860301311, 0.06255560576903156, -0.3055524587555713, -0.16267641864691837, 0.13294502755476012, 0.017192912022142695, 0.034733572848160074, -0.006676592587216481, -0.02662435272154776, -0.10702167626004666, -0.15778179314125934, 0.36183496587280484, -0.05302117532119155, 0.31578292052349627, 0.06111268453753075, 0.04631525721098926, -0.07045992492144373, 0.03460826339023943, 0.029733992049571226, -0.18575876621842916, 0.02074364136284645, 0.2257071241761583, 0.04290038376820047, 0.24742559721139637, -0.37269716820604093, -0.2858893044443952, 0.15510721720843199, 0.12728033066613953, 0.11237296840408817, -0.06929711683659588, -0.34683114368267154, 0.011860136018210166, -0.12547515540987858, -0.16758230315974434, -0.028958127091361863, 0.025276213469034112, 0.003974191290703979, -0.1900663680673854, 0.06100847309681814, 0.10430113776788316, 0.024427636664964864, -0.031394256714250064, -0.09475286348999755, 0.022085429779631464, 0.12496907999613197, 0.04321999778629696, 0.003759211294252325, 0.1351176163282346, -0.14620798870895965, -0.17639898019213532, 0.36044415567271615, 0.01886351624833313, -0.10610853445187614, 0.31317685412343693, -0.14224724341545733, -0.20328459248097763, 0.17109756102483417, 0.16509148988061007, 0.07376996445394046, -0.14584956262764093, 0.004880850003541422, -0.024315951329127356, 0.13050958738234397, -0.050584253043288716, 0.04141612550419931, 0.26442345206600587, 0.176612452415095, 0.03855168685392552, 0.19679603243728067, -0.06574665641449895, -0.20658756891970295, -0.30180256400962135, -0.1441666486270323, -0.16274261966700088, 0.05542991781997419, -0.07063775489419837, -0.1883298673956479, 0.37682089712344913, 0.1919397224020842, 0.21805469788661277, 0.018661440700934444, 0.19252886284595808, 0.07433939175176862, 0.0007832516173555239, 0.060364755756234297, 0.2473195131264023, 0.1262208373738906, 0.11329459286817173, -0.2110925792886347, 0.12908982988635734, 0.10402338316890637] |
711.2198 | Stability, Singularities and Mass Thresholds in Child Universe
Production: a concise survey including some recent results and prospects | We present a review of selected topics concerning the creation and evolution
of child universes, together with a concise account of some recent progress in
the field.
| gr-qc hep-th | we present a review of selected topics concerning the creation and evolution of child universes together with a concise account of some recent progress in the field | [['we', 'present', 'a', 'review', 'of', 'selected', 'topics', 'concerning', 'the', 'creation', 'and', 'evolution', 'of', 'child', 'universes', 'together', 'with', 'a', 'concise', 'account', 'of', 'some', 'recent', 'progress', 'in', 'the', 'field']] | [-0.13455057823685584, 0.11580483563658264, -0.1132139841577521, 0.022413684365650017, -0.13854519560657166, -0.044492682062641335, 0.044303273394082986, 0.3355572317485456, -0.1636354989475674, -0.28569711972441936, 0.11480291363248532, -0.27104699666853305, -0.09443065041193256, 0.1567825915429879, -0.04384955529261519, -0.045838463913511346, 0.1056298715993762, 0.05380249413213244, -0.07198009298493464, -0.3196300609658162, 0.3763922691621162, 0.03995629417261592, 0.23050390718573774, 0.05847318718830744, 0.09087773315022113, 0.026767656517525513, -0.19735669375707707, 0.052745755455732624, -0.22206323952586562, 0.2090803402027598, 0.20928557927685756, 0.22082722849316067, 0.34817839275907586, -0.49293377691948853, -0.21549300487256712, 0.007450194822417365, 0.11335069447307398, 0.20365782578786215, -0.17865858243398922, -0.29645244570242035, -0.012574828126364283, -0.19735462494470454, -0.14244864360187892, -0.04136877776020103, 0.07624623122952741, 0.06876028894826218, -0.1457969850205161, 0.03180756806223481, 0.061190687913309644, 0.06512219520906608, -0.05775999640011125, -0.15366590340380315, 0.06389106106426981, 0.1371771270857641, 0.09581219730898738, 0.061758075698485806, 0.0610221864707354, -0.20909258461108915, -0.15136330643737758, 0.3611965069754256, -0.05784504798551401, -0.08973710191505099, 0.1527783335359008, -0.14634769064960657, -0.20909952058422346, 0.054156736160318054, 0.17451324024134213, 0.0922747019816328, -0.18528330384719152, 0.055296375862477966, 0.004642663730515374, 0.07467877326740159, 0.015665505736790323, 0.08144672553020495, 0.2971559155870367, 0.20756445763011774, -0.06114972672528691, 0.14810397996808644, 0.020991598359412618, -0.10266041966301769, -0.38838139259152943, -0.1781022316534762, -0.060484063570146206, 0.03807416061560313, 0.010663985878906075, -0.16706342112135003, 0.4693679450838654, 0.1755973626687019, 0.25428265553933604, 0.011226463993942296, 0.21529532016979325, -0.0010383874867801314, 0.0180588708155685, 0.044966626136253275, 0.16584219057996827, 0.18083166455229124, 0.14484828753672815, -0.1623319778957887, 0.04789173739738072, 0.006187019102206385] |
711.2199 | The Lyman-alpha Emission Line as a Cosmological Tool | This thesis deals with different aspects of a special kind of high redshift
galaxy, namely Ly-alpha emitters. Ly-alpha emitters are galaxies found through
their Ly-alpha emission, at redshifts larger than z >~ 2 where the emission
line has been redshifted into the optical or near-infrared regime. The thesis
has two main parts; a lower redshift, observational part (z ~ 3) and a more
technical/theoretical very high redshift part (z ~ 9).
In the first, lower redshift part I present the analysis of a narrow-band
image taken in the GOODS-S field, focused on a redshift for Ly-alpha of z =
3.15. The image, covering a central part of the GOODS-S field revealed 25
Ly-alpha emitting candidates, of which one turned out to be a so-called
Ly-alpha blob. In the second part, I discuss future, very high redshift
narrow-band surveys for Ly-alpha emitters. Finally, in a project unrelated to
the other two parts of the thesis, I present a search for a 'Fundamental plane'
of Ly-alpha emitters in the colour space produced by large-scale
multi-wavelength surveys such as GOODS or COSMOS. [Abridged]
| astro-ph | this thesis deals with different aspects of a special kind of high redshift galaxy namely lyalpha emitters lyalpha emitters are galaxies found through their lyalpha emission at redshifts larger than z 2 where the emission line has been redshifted into the optical or nearinfrared regime the thesis has two main parts a lower redshift observational part z 3 and a more technicaltheoretical very high redshift part z 9 in the first lower redshift part i present the analysis of a narrowband image taken in the goodss field focused on a redshift for lyalpha of z 315 the image covering a central part of the goodss field revealed 25 lyalpha emitting candidates of which one turned out to be a socalled lyalpha blob in the second part i discuss future very high redshift narrowband surveys for lyalpha emitters finally in a project unrelated to the other two parts of the thesis i present a search for a fundamental plane of lyalpha emitters in the colour space produced by largescale multiwavelength surveys such as goods or cosmos abridged | [['this', 'thesis', 'deals', 'with', 'different', 'aspects', 'of', 'a', 'special', 'kind', 'of', 'high', 'redshift', 'galaxy', 'namely', 'lyalpha', 'emitters', 'lyalpha', 'emitters', 'are', 'galaxies', 'found', 'through', 'their', 'lyalpha', 'emission', 'at', 'redshifts', 'larger', 'than', 'z', '2', 'where', 'the', 'emission', 'line', 'has', 'been', 'redshifted', 'into', 'the', 'optical', 'or', 'nearinfrared', 'regime', 'the', 'thesis', 'has', 'two', 'main', 'parts', 'a', 'lower', 'redshift', 'observational', 'part', 'z', '3', 'and', 'a', 'more', 'technicaltheoretical', 'very', 'high', 'redshift', 'part', 'z', '9', 'in', 'the', 'first', 'lower', 'redshift', 'part', 'i', 'present', 'the', 'analysis', 'of', 'a', 'narrowband', 'image', 'taken', 'in', 'the', 'goodss', 'field', 'focused', 'on', 'a', 'redshift', 'for', 'lyalpha', 'of', 'z', '315', 'the', 'image', 'covering', 'a', 'central', 'part', 'of', 'the', 'goodss', 'field', 'revealed', '25', 'lyalpha', 'emitting', 'candidates', 'of', 'which', 'one', 'turned', 'out', 'to', 'be', 'a', 'socalled', 'lyalpha', 'blob', 'in', 'the', 'second', 'part', 'i', 'discuss', 'future', 'very', 'high', 'redshift', 'narrowband', 'surveys', 'for', 'lyalpha', 'emitters', 'finally', 'in', 'a', 'project', 'unrelated', 'to', 'the', 'other', 'two', 'parts', 'of', 'the', 'thesis', 'i', 'present', 'a', 'search', 'for', 'a', 'fundamental', 'plane', 'of', 'lyalpha', 'emitters', 'in', 'the', 'colour', 'space', 'produced', 'by', 'largescale', 'multiwavelength', 'surveys', 'such', 'as', 'goods', 'or', 'cosmos', 'abridged']] | [-0.058250983892939985, 0.06654220260679722, -0.022054646518081426, 0.09085852699819952, -0.11360479129744427, -0.11005046278504389, 0.013148623792720693, 0.4634717974013516, -0.11050339442278657, -0.2831319328849869, 0.04899298100532698, -0.3091745080263354, -0.017039380959966884, 0.2080736344480621, 0.06033068492077291, -0.03266859298305852, 0.010620625061648233, -0.1331242203898728, 0.03455390717218896, -0.3153989085235766, 0.3149970519043771, 0.05775038314184972, 0.18760656703828968, -0.027394555285947197, 0.11348078669181892, -0.05861082824878395, -0.1469527395309082, 0.006886853769787454, -0.13312028185181718, 0.05320582226051816, 0.2999503493721464, 0.15776975233773036, 0.3303703606634268, -0.2839579049311578, -0.1848095102767859, 0.08832880900906664, 0.24684650786221027, 0.06540286928099313, -0.07365223463067586, -0.3158304491585919, 0.03410092879652179, -0.12262142879622323, -0.11617118695218648, 0.16596499290583389, 0.01347123386205307, 0.017517497087163585, -0.16250724389084747, 0.0898729622097952, -0.005657680414816631, 0.1365523782638567, -0.034273051316184654, -0.09548689496437354, -0.052597045424793445, 0.04665180896009718, -0.02494870238006115, 0.09179606535072837, 0.1478986948063331, -0.2335243764027421, -0.033702658308403834, 0.41912664858358245, -0.062409097695407194, 0.023415313945817095, 0.18647066637740603, -0.22328734199250383, -0.2284714975447527, 0.16794313767459243, 0.2019683129446847, 0.10693369920232466, -0.1353901506720909, 0.07118999606630366, 0.00666884713939258, 0.25085192249954813, -0.010958530314798867, 0.0937508145760512, 0.3116595550360424, 0.06173067456377404, 0.0368373792485467, 0.13681665865405063, -0.22493855700029858, 0.045187650086092095, -0.29136756646047746, -0.16460143266511815, -0.14255366827826946, 0.1348335273829954, -0.10530181501850686, -0.1257767057738134, 0.39279133577698044, 0.13818388197038856, 0.22850784637832217, 0.08143173641857825, 0.3241140569480402, 0.11086994006631097, 0.09422206126639919, 0.026125358973762818, 0.3296224090510181, 0.1433143323353891, 0.1069194888270327, -0.11379264153822857, -0.02614987798567329, 0.011932182711149965] |
711.22 | Topos-Theoretic Extension of a Modal Interpretation of Quantum Mechanics | This paper deals with topos-theoretic truth-value valuations of quantum
propositions. Concretely, a mathematical framework of a specific type of modal
approach is extended to the topos theory, and further, structures of the
obtained truth-value valuations are investigated. What is taken up is the modal
approach based on a determinate lattice $\Dcal(e,R)$, which is a sublattice of
the lattice $\Lcal$ of all quantum propositions and is determined by a quantum
state $e$ and a preferred determinate observable $R$. Topos-theoretic extension
is made in the functor category $\Sets^{\CcalR}$ of which base category
$\CcalR$ is determined by $R$. Each true atom, which determines truth values,
true or false, of all propositions in $\Dcal(e,R)$, generates also a
multi-valued valuation function of which domain and range are $\Lcal$ and a
Heyting algebra given by the subobject classifier in $\Sets^{\CcalR}$,
respectively. All true propositions in $\Dcal(e,R)$ are assigned the top
element of the Heyting algebra by the valuation function. False propositions
including the null proposition are, however, assigned values larger than the
bottom element. This defect can be removed by use of a subobject
semi-classifier. Furthermore, in order to treat all possible determinate
observables in a unified framework, another valuations are constructed in the
functor category $\Sets^{\Ccal}$. Here, the base category $\Ccal$ includes all
$\CcalR$'s as subcategories. Although $\Sets^{\Ccal}$ has a structure
apparently different from $\Sets^{\CcalR}$, a subobject semi-classifier of
$\Sets^{\Ccal}$ gives valuations completely equivalent to those in
$\Sets^{\CcalR}$'s.
| quant-ph gr-qc | this paper deals with topostheoretic truthvalue valuations of quantum propositions concretely a mathematical framework of a specific type of modal approach is extended to the topos theory and further structures of the obtained truthvalue valuations are investigated what is taken up is the modal approach based on a determinate lattice dcaler which is a sublattice of the lattice lcal of all quantum propositions and is determined by a quantum state e and a preferred determinate observable r topostheoretic extension is made in the functor category setsccalr of which base category ccalr is determined by r each true atom which determines truth values true or false of all propositions in dcaler generates also a multivalued valuation function of which domain and range are lcal and a heyting algebra given by the subobject classifier in setsccalr respectively all true propositions in dcaler are assigned the top element of the heyting algebra by the valuation function false propositions including the null proposition are however assigned values larger than the bottom element this defect can be removed by use of a subobject semiclassifier furthermore in order to treat all possible determinate observables in a unified framework another valuations are constructed in the functor category setsccal here the base category ccal includes all ccalrs as subcategories although setsccal has a structure apparently different from setsccalr a subobject semiclassifier of setsccal gives valuations completely equivalent to those in setsccalrs | [['this', 'paper', 'deals', 'with', 'topostheoretic', 'truthvalue', 'valuations', 'of', 'quantum', 'propositions', 'concretely', 'a', 'mathematical', 'framework', 'of', 'a', 'specific', 'type', 'of', 'modal', 'approach', 'is', 'extended', 'to', 'the', 'topos', 'theory', 'and', 'further', 'structures', 'of', 'the', 'obtained', 'truthvalue', 'valuations', 'are', 'investigated', 'what', 'is', 'taken', 'up', 'is', 'the', 'modal', 'approach', 'based', 'on', 'a', 'determinate', 'lattice', 'dcaler', 'which', 'is', 'a', 'sublattice', 'of', 'the', 'lattice', 'lcal', 'of', 'all', 'quantum', 'propositions', 'and', 'is', 'determined', 'by', 'a', 'quantum', 'state', 'e', 'and', 'a', 'preferred', 'determinate', 'observable', 'r', 'topostheoretic', 'extension', 'is', 'made', 'in', 'the', 'functor', 'category', 'setsccalr', 'of', 'which', 'base', 'category', 'ccalr', 'is', 'determined', 'by', 'r', 'each', 'true', 'atom', 'which', 'determines', 'truth', 'values', 'true', 'or', 'false', 'of', 'all', 'propositions', 'in', 'dcaler', 'generates', 'also', 'a', 'multivalued', 'valuation', 'function', 'of', 'which', 'domain', 'and', 'range', 'are', 'lcal', 'and', 'a', 'heyting', 'algebra', 'given', 'by', 'the', 'subobject', 'classifier', 'in', 'setsccalr', 'respectively', 'all', 'true', 'propositions', 'in', 'dcaler', 'are', 'assigned', 'the', 'top', 'element', 'of', 'the', 'heyting', 'algebra', 'by', 'the', 'valuation', 'function', 'false', 'propositions', 'including', 'the', 'null', 'proposition', 'are', 'however', 'assigned', 'values', 'larger', 'than', 'the', 'bottom', 'element', 'this', 'defect', 'can', 'be', 'removed', 'by', 'use', 'of', 'a', 'subobject', 'semiclassifier', 'furthermore', 'in', 'order', 'to', 'treat', 'all', 'possible', 'determinate', 'observables', 'in', 'a', 'unified', 'framework', 'another', 'valuations', 'are', 'constructed', 'in', 'the', 'functor', 'category', 'setsccal', 'here', 'the', 'base', 'category', 'ccal', 'includes', 'all', 'ccalrs', 'as', 'subcategories', 'although', 'setsccal', 'has', 'a', 'structure', 'apparently', 'different', 'from', 'setsccalr', 'a', 'subobject', 'semiclassifier', 'of', 'setsccal', 'gives', 'valuations', 'completely', 'equivalent', 'to', 'those', 'in', 'setsccalrs']] | [-0.10633966112876997, 0.07957806778058671, -0.07117878854184885, 0.07884281200179095, -0.11522456333286275, -0.16508867956795975, 0.05633411877237162, 0.3533605360957026, -0.31388868383344326, -0.20827636129443386, 0.06131924072019102, -0.23020833470754473, -0.07256592071146435, 0.13434333441616395, -0.13483226694281034, -0.009430709757444882, 0.023887937165502655, 0.10975056372198946, -0.03471755815119475, -0.2575213464478382, 0.37169220760615806, -0.009636817152281046, 0.24856198242285468, 0.015857412367487292, 0.08743551388697438, 0.0016260421201750113, -0.00668233277055582, 0.06091411354780001, -0.10824484549250388, 0.1507818233012426, 0.3000104406342041, 0.13305316238435344, 0.26513458652270694, -0.3538044356759393, -0.1101276404551116, 0.10055236778989957, 0.06603978812621024, 0.07089558402048281, 0.0352432134126215, -0.30225457648926396, 0.12596489335747288, -0.2074072613389019, -0.07679944310802966, -0.06874146095983553, 0.07069350078215889, -0.020176256946063387, -0.2794082614324125, 0.009709546925462251, 0.09186146871632031, 0.11285993660158854, -0.10172369212867986, -0.13562217505093208, -0.05485440748580323, 0.066398445037888, -0.026280991442035884, 0.05525813592874073, 0.12000488155121147, -0.08475339306843173, -0.15977002580225336, 0.3991089560777733, -0.013181295012353138, -0.2193047334080084, 0.11025499358769147, -0.13136512443643847, -0.1141307951475028, 0.11754650499808536, 0.02946770004928112, 0.13849671730432628, -0.11932161821715183, 0.1596776103616688, -0.11700851310403475, 0.14053161502325615, 0.09100129304958197, 0.040836643407441954, 0.19244943400273068, 0.09587289720749188, -0.0022926741982238334, 0.126154327635927, 0.022920760574235925, -0.09949242763998387, -0.3507808204903676, -0.15975698001893124, -0.1450344620904632, 0.07780662607687541, -0.040728117463578725, -0.17018994259680703, 0.36567489660688135, 0.1312459011375419, 0.18624902417752565, 0.08581282511933527, 0.21994418628195203, 0.07676576840101022, 0.08741122474403758, 0.012187540369810896, 0.16927947592104606, 0.15905509149684294, 0.007133176194896039, -0.08430605838121234, 0.08181909528936733, 0.13365012508298255] |
711.2201 | On Geometro-thermodynamics of Dilaton Black Holes | In this talk we present the latest results from our ongoing project on
geometro-thermodynamics (also known as information geometry of thermodynamics
or Ruppeiner geometry) of dilaton BHs in 4D in both Einstein and string frames
and a dyonic dilaton BH and at the end we report very briefly results from this
approach to the 2D dilaton BHs.
| hep-th gr-qc | in this talk we present the latest results from our ongoing project on geometrothermodynamics also known as information geometry of thermodynamics or ruppeiner geometry of dilaton bhs in 4d in both einstein and string frames and a dyonic dilaton bh and at the end we report very briefly results from this approach to the 2d dilaton bhs | [['in', 'this', 'talk', 'we', 'present', 'the', 'latest', 'results', 'from', 'our', 'ongoing', 'project', 'on', 'geometrothermodynamics', 'also', 'known', 'as', 'information', 'geometry', 'of', 'thermodynamics', 'or', 'ruppeiner', 'geometry', 'of', 'dilaton', 'bhs', 'in', '4d', 'in', 'both', 'einstein', 'and', 'string', 'frames', 'and', 'a', 'dyonic', 'dilaton', 'bh', 'and', 'at', 'the', 'end', 'we', 'report', 'very', 'briefly', 'results', 'from', 'this', 'approach', 'to', 'the', '2d', 'dilaton', 'bhs']] | [-0.07893539700461061, 0.06504312240959782, -0.09121404494273297, 0.12038701065619917, -0.10469659378654078, -0.1367257268723558, 0.0228649348208452, 0.3382564718802378, -0.13013185429991336, -0.2873324279330279, 0.10838225699773286, -0.34031241596267936, -0.18931837392697243, 0.16102846812767288, -0.09675496930905961, 0.0306920605597266, 0.00860584929193321, 0.04983423758102091, -0.12492086099493399, -0.2786240326077269, 0.40237465062946604, 0.09700246384007889, 0.22390411526226162, 0.05861724204824943, 0.09262682577562437, -0.04473172892048432, -0.03666098180570101, 0.024776808794979985, -0.201163439357882, 0.11300968074877012, 0.2495576043596916, 0.15319553779830275, 0.13519412024240746, -0.41484793687337324, -0.17579670869459382, -0.03256395190194445, 0.1568845786938542, 0.21904963838230623, -0.1534493241904369, -0.3115845237972966, 0.030297627950315934, -0.18944211791089752, -0.10487658718372123, -0.05562805541251835, -0.003622348436660934, -0.057640200987327514, -0.1551567746751141, 0.09530288607991104, 0.04588314887593713, -0.03298259026517993, -0.14219645099314093, -0.04867155192289175, -0.02327133913263025, 0.06514224073065347, 0.15431641805263466, 0.08722787343676348, 0.1562658013253097, -0.1508085417577572, -0.13949627517477461, 0.3553270491395603, -0.09581027501426115, -0.1601406531571819, 0.1482436471586034, -0.22996071481815816, -0.19548247086309029, 0.0012359579436873134, 0.21159798970544025, 0.2120043555225589, -0.1565358110197019, 0.15832609969718187, 0.020700799252249692, 0.1734110675752163, 0.05491207216523195, 0.06415319710708502, 0.3747321220866421, 0.13219227955529564, -0.05458594370110516, 0.1692121244329763, -0.026170362224148817, -0.0933782376937176, -0.389359541890914, -0.11897256604412146, -0.14281927152095655, 0.11531638782144639, -0.1316461822974369, -0.10981010531255028, 0.32940914743302163, 0.1572336458025108, 0.1898972163091234, 0.058482258874726925, 0.27319603795675856, -0.037747015956004985, 0.02280183469778613, 0.09301020263841278, 0.32412112218311484, 0.1284278198063635, 0.23087570976400584, -0.23637113833734602, -0.16311874476735266, 0.1273720134213044] |
711.2202 | Supercritical biharmonic equations with power-type nonlinearity | The biharmonic supercritical equation $\Delta^2u=|u|^{p-1}u$, where $n>4$ and
$p>(n+4)/(n-4)$, is studied in the whole space $\mathbb{R}^n$ as well as in a
modified form with $\lambda(1+u)^p$ as right-hand-side with an additional
eigenvalue parameter $\lambda>0$ in the unit ball, in the latter case together
with Dirichlet boundary conditions. As for entire regular radial solutions we
prove oscillatory behaviour around the explicitly known radial {\it singular}
solution, provided $p\in((n+4)/(n-4),p_c)$, where $p_c\in ((n+4)/(n-4),\infty]$
is a further critical exponent, which was introduced in a recent work by
Gazzola and the second author. The third author proved already that these
oscillations do not occur in the complementing case, where $p\ge p_c$.
Concerning the Dirichlet problem we prove existence of at least one singular
solution with corresponding eigenvalue parameter. Moreover, for the extremal
solution in the bifurcation diagram for this nonlinear biharmonic eigenvalue
problem, we prove smoothness as long as $p\in((n+4)/(n-4),p_c)$.
| math.AP math.CA | the biharmonic supercritical equation delta2uup1u where n4 and pn4n4 is studied in the whole space mathbbrn as well as in a modified form with lambda1up as righthandside with an additional eigenvalue parameter lambda0 in the unit ball in the latter case together with dirichlet boundary conditions as for entire regular radial solutions we prove oscillatory behaviour around the explicitly known radial it singular solution provided pinn4n4p_c where p_cin n4n4infty is a further critical exponent which was introduced in a recent work by gazzola and the second author the third author proved already that these oscillations do not occur in the complementing case where pge p_c concerning the dirichlet problem we prove existence of at least one singular solution with corresponding eigenvalue parameter moreover for the extremal solution in the bifurcation diagram for this nonlinear biharmonic eigenvalue problem we prove smoothness as long as pinn4n4p_c | [['the', 'biharmonic', 'supercritical', 'equation', 'delta2uup1u', 'where', 'n4', 'and', 'pn4n4', 'is', 'studied', 'in', 'the', 'whole', 'space', 'mathbbrn', 'as', 'well', 'as', 'in', 'a', 'modified', 'form', 'with', 'lambda1up', 'as', 'righthandside', 'with', 'an', 'additional', 'eigenvalue', 'parameter', 'lambda0', 'in', 'the', 'unit', 'ball', 'in', 'the', 'latter', 'case', 'together', 'with', 'dirichlet', 'boundary', 'conditions', 'as', 'for', 'entire', 'regular', 'radial', 'solutions', 'we', 'prove', 'oscillatory', 'behaviour', 'around', 'the', 'explicitly', 'known', 'radial', 'it', 'singular', 'solution', 'provided', 'pinn4n4p_c', 'where', 'p_cin', 'n4n4infty', 'is', 'a', 'further', 'critical', 'exponent', 'which', 'was', 'introduced', 'in', 'a', 'recent', 'work', 'by', 'gazzola', 'and', 'the', 'second', 'author', 'the', 'third', 'author', 'proved', 'already', 'that', 'these', 'oscillations', 'do', 'not', 'occur', 'in', 'the', 'complementing', 'case', 'where', 'pge', 'p_c', 'concerning', 'the', 'dirichlet', 'problem', 'we', 'prove', 'existence', 'of', 'at', 'least', 'one', 'singular', 'solution', 'with', 'corresponding', 'eigenvalue', 'parameter', 'moreover', 'for', 'the', 'extremal', 'solution', 'in', 'the', 'bifurcation', 'diagram', 'for', 'this', 'nonlinear', 'biharmonic', 'eigenvalue', 'problem', 'we', 'prove', 'smoothness', 'as', 'long', 'as', 'pinn4n4p_c']] | [-0.12489302560897803, 0.061354245361808286, -0.0447879107091168, 0.043576213445371687, -0.09530093384282935, -0.15085795124394508, -0.01236161571267965, 0.2912620451967538, -0.26738704548958336, -0.2185025421399487, 0.17450485525085135, -0.2952883564425211, -0.1669064898614901, 0.16577755213956463, -0.04801385458830717, 0.12455822884982085, 0.05337292722929405, 0.112927285736821, -0.029054789271675256, -0.23198917995540114, 0.36841692765970735, -0.03812285991263215, 0.18517286497691687, 0.053086311145121384, 0.06592966078093997, -0.007840742949348787, 0.04266687520494154, 0.019098003041194616, -0.2075242843545517, 0.03643780363380338, 0.2692259835405615, 0.026135509612493772, 0.29925056867790917, -0.3623320448898921, -0.22797921290417222, 0.14922173727341131, 0.18769349069096639, 0.048872841388687326, -0.021997468882532668, -0.27321026887894223, 0.09363091363823109, -0.0940887261399605, -0.23604569058987673, -0.03873738269899448, 0.0470976851724197, 0.029580510170436905, -0.3082810469162073, 0.13591545084610338, 0.1148207022470293, 0.033827260605664586, -0.15133108912090207, -0.1105353647102024, -0.027964289097903963, 0.07675575219557015, 0.07320797053865925, 0.04636663338849253, -0.0022925108375476443, -0.10345040744911525, -0.057126530602890455, 0.3244837846124314, -0.07196979916035912, -0.24825310519298227, 0.0986092615988187, -0.19062921264460378, -0.1659216317620101, 0.06618698368895881, 0.11277054786260654, 0.15848180467694536, -0.09547219574995285, 0.15833725202675691, -0.06871835604670859, 0.11650751278749293, 0.1765348657720933, -0.04451146728128032, 0.09350645669946706, 0.12125120638958077, 0.157639984287879, 0.17701482479834427, -0.029482731981420495, -0.11715790723198957, -0.34737645054276844, -0.14814700509836204, -0.200363542949169, 0.08943987529511126, -0.11195096769518845, -0.19952134135430746, 0.35304490982446085, 0.06808037553526407, 0.22908764261154146, 0.04836198278060387, 0.2207393811380042, 0.15631132117594954, 0.013214736447812323, 0.10687195591247865, 0.21996773446291468, 0.11527285089607547, 0.14004995503605608, -0.18580432063037441, 0.023817444438570225, 0.15366227521703843] |
711.2203 | Switching effect upon the quantum Brownian motion near a reflecting
boundary | The quantum Brownian motion of a charged particle in the electromagnetic
vacuum fluctuations is investigated near a perfectly reflecting flat boundary,
taking into account the smooth switching process in the measurement.
Constructing a smooth switching function by gluing together a plateau and the
Lorentzian switching tails, it is shown that the switching tails have a great
influence on the measurement of the Brownian motion in the quantum vacuum.
Indeed, it turns out that the result with a smooth switching function and the
one with a sudden switching function are qualitatively quite different. It is
also shown that anti-correlations between the switching tails and the main
measuring part plays an essential role in this switching effect. The switching
function can also be interpreted as a prototype of an non-equilibrium process
in a realistic measurement, so that the switching effect found here is expected
to be significant in actual applications in vacuum physics.
| quant-ph gr-qc | the quantum brownian motion of a charged particle in the electromagnetic vacuum fluctuations is investigated near a perfectly reflecting flat boundary taking into account the smooth switching process in the measurement constructing a smooth switching function by gluing together a plateau and the lorentzian switching tails it is shown that the switching tails have a great influence on the measurement of the brownian motion in the quantum vacuum indeed it turns out that the result with a smooth switching function and the one with a sudden switching function are qualitatively quite different it is also shown that anticorrelations between the switching tails and the main measuring part plays an essential role in this switching effect the switching function can also be interpreted as a prototype of an nonequilibrium process in a realistic measurement so that the switching effect found here is expected to be significant in actual applications in vacuum physics | [['the', 'quantum', 'brownian', 'motion', 'of', 'a', 'charged', 'particle', 'in', 'the', 'electromagnetic', 'vacuum', 'fluctuations', 'is', 'investigated', 'near', 'a', 'perfectly', 'reflecting', 'flat', 'boundary', 'taking', 'into', 'account', 'the', 'smooth', 'switching', 'process', 'in', 'the', 'measurement', 'constructing', 'a', 'smooth', 'switching', 'function', 'by', 'gluing', 'together', 'a', 'plateau', 'and', 'the', 'lorentzian', 'switching', 'tails', 'it', 'is', 'shown', 'that', 'the', 'switching', 'tails', 'have', 'a', 'great', 'influence', 'on', 'the', 'measurement', 'of', 'the', 'brownian', 'motion', 'in', 'the', 'quantum', 'vacuum', 'indeed', 'it', 'turns', 'out', 'that', 'the', 'result', 'with', 'a', 'smooth', 'switching', 'function', 'and', 'the', 'one', 'with', 'a', 'sudden', 'switching', 'function', 'are', 'qualitatively', 'quite', 'different', 'it', 'is', 'also', 'shown', 'that', 'anticorrelations', 'between', 'the', 'switching', 'tails', 'and', 'the', 'main', 'measuring', 'part', 'plays', 'an', 'essential', 'role', 'in', 'this', 'switching', 'effect', 'the', 'switching', 'function', 'can', 'also', 'be', 'interpreted', 'as', 'a', 'prototype', 'of', 'an', 'nonequilibrium', 'process', 'in', 'a', 'realistic', 'measurement', 'so', 'that', 'the', 'switching', 'effect', 'found', 'here', 'is', 'expected', 'to', 'be', 'significant', 'in', 'actual', 'applications', 'in', 'vacuum', 'physics']] | [-0.13555169132976047, 0.17342704369409767, -0.1538879900140725, 0.07036847647504332, -0.031549146050426934, -0.1291852169515972, -0.0054613050344764005, 0.38783381992815347, -0.2745308731713437, -0.2727472704198421, 0.07765008930412941, -0.22713951867641202, -0.17270412379320685, 0.19285198603062859, -0.05545526959113037, 0.022148494904749835, 0.03181083253060548, -0.007644760619774954, -0.02950095717674923, -0.17282274787295734, 0.2736320729731329, 0.03656897499435736, 0.3030762350347066, 0.057154898510147996, 0.11154673460081516, 0.002359144784362111, 0.033722818212349286, 0.05553004005152905, -0.09788059243960892, 0.023097450018471834, 0.21172530180312052, -0.005053710511620372, 0.2608214664667697, -0.41683428885032797, -0.206047717821846, 0.11550496331113853, 0.1206918255971831, 0.10763680992882378, -0.09800577150667024, -0.2899598444361758, 0.043710981643703205, -0.13860967273620384, -0.13587193195060487, -0.022712153305503115, 0.06517934040567339, 0.01401652383081467, -0.26173089465607474, 0.037228340048278186, 0.1010988468908711, -0.0018377031218137173, -0.05433011002875618, -0.051471204518507056, -0.031601224029868445, 0.12679829989677135, 0.06424262170141735, 0.05552528332610497, 0.17260841607572572, -0.1456525499442136, -0.12100420836112555, 0.34239133201163285, -0.0891244607262116, -0.22173457217112874, 0.1380879505605295, -0.19593938381568413, -0.07937788804499618, 0.1343028327104765, 0.11470739096896537, 0.11427255125950701, -0.17420182094002598, 0.07081340773945477, 0.01850114134525794, 0.12269258528442079, 0.06764218232144188, 0.020173766650259495, 0.2443959971162065, 0.18669499855624228, 0.07578709095697973, 0.17310906139153073, -0.0813518165416448, -0.16059950757956762, -0.35761005552300557, -0.15912591828810457, -0.19467597585849908, 0.11529074783054556, -0.09753553929934525, -0.1747847188195516, 0.38188604532667, 0.09712409411575522, 0.2145664460613201, -0.013540368144776648, 0.2868583283467305, 0.18191597856109382, 0.06463413770057705, 0.044352233356685186, 0.27905505083945414, 0.12097066351434599, 0.11191991706138217, -0.24872019980565355, 0.12157706265639982, -0.05082644270239583] |
711.2204 | RS model with the small curvature and Bhabha scattering at the ILC | The Randall-Sundrum (RS) model with the small curvature is studied. In such a
scheme the mass spectrum of Kaluza-Klein (KK) gravitons is similar to that in a
model with one extra flat dimension. The gravity effects in the Bhabha
scattering at the energy 1 TeV are estimated. The calculations are based on the
analytical formula which describes virtual graviton contributions. It takes
into account both a discrete character of the mass spectrum and nonzero widths
of the KK gravitons.
| hep-ph | the randallsundrum rs model with the small curvature is studied in such a scheme the mass spectrum of kaluzaklein kk gravitons is similar to that in a model with one extra flat dimension the gravity effects in the bhabha scattering at the energy 1 tev are estimated the calculations are based on the analytical formula which describes virtual graviton contributions it takes into account both a discrete character of the mass spectrum and nonzero widths of the kk gravitons | [['the', 'randallsundrum', 'rs', 'model', 'with', 'the', 'small', 'curvature', 'is', 'studied', 'in', 'such', 'a', 'scheme', 'the', 'mass', 'spectrum', 'of', 'kaluzaklein', 'kk', 'gravitons', 'is', 'similar', 'to', 'that', 'in', 'a', 'model', 'with', 'one', 'extra', 'flat', 'dimension', 'the', 'gravity', 'effects', 'in', 'the', 'bhabha', 'scattering', 'at', 'the', 'energy', '1', 'tev', 'are', 'estimated', 'the', 'calculations', 'are', 'based', 'on', 'the', 'analytical', 'formula', 'which', 'describes', 'virtual', 'graviton', 'contributions', 'it', 'takes', 'into', 'account', 'both', 'a', 'discrete', 'character', 'of', 'the', 'mass', 'spectrum', 'and', 'nonzero', 'widths', 'of', 'the', 'kk', 'gravitons']] | [-0.1424595270411972, 0.19731078993623394, -0.10514051418845789, 0.16435358793286112, -0.055778807471211576, -0.146677670994467, -0.031551360158556245, 0.2891564452784914, -0.16926444142679625, -0.2884764424746243, 0.024543997697543965, -0.2866497755498637, -0.05831286575220808, 0.1377739763694898, 0.04031458492331867, 0.00436729494234712, 0.015735678838954978, 0.07623988493711134, -0.01805620519385402, -0.1915587165416513, 0.34510055772040654, 0.04575547017746522, 0.23799327647761453, 0.09043992524730819, 0.09662254697560699, 0.005088375949100415, -0.02807464230734902, -0.04638108910544764, -0.12158054668985711, 0.09288531547424066, 0.16121997544541955, 0.036998550887985884, 0.15746284571558802, -0.35394142318186883, -0.2189019348213001, 0.0633705609089023, 0.14627303894243757, 0.1441457941465056, -0.0014134344565269502, -0.27628538248871887, 0.1035420383692165, -0.2089014600231489, -0.1267149117716317, 0.026799067719309014, -0.009185210719138762, -0.13616292397904245, -0.25814133467553535, 0.08039768163963587, -0.0036568816432941565, -0.039340068760885756, -0.10440565737942824, -0.15970239280192536, -0.09589822623949451, 0.06473074546761669, 0.1488614451240371, -0.025086689846519426, 0.10483221550872904, -0.11202891219165648, -0.10890685512884697, 0.3940197323637578, -0.12442950329071359, -0.22989073398086843, 0.14065759591581417, -0.17879117207153689, -0.10471629183975202, 0.19784356096665126, 0.18902320219528024, 0.09795731925619236, -0.11947149030652039, 0.21496166147901735, -0.00610314512365981, 0.16222185976331746, 0.07430221983290548, 0.08503860936063944, 0.23197386333648162, 0.14819735242643312, -0.06154520453625842, 0.09249776262271253, -0.11129212119363106, -0.08246844127491305, -0.3895379011578198, -0.13239858205182642, -0.16068168186075701, 0.06270680308955003, -0.13302362449095095, -0.1443511963220714, 0.36288797245757864, 0.06548438612607461, 0.2315652931456843, 0.06537443337095547, 0.3337390589280219, 0.15496343282298952, 0.12881276175332598, 0.0848793911134612, 0.29195255783822716, 0.14580618432145329, 0.08065626157530217, -0.24570679374015594, -0.07619492394873235, 0.10344574759608205] |
711.2205 | Enhancement of Persistent Current in Metal Rings by Correlated Disorder | We study analytically the effect of a correlated random potential on the
persistent current in a one-dimensional ring threaded by a magnetic flux
$\phi$, using an Anderson tight-binding model. In our model, the system of
$N=2M$ atomic sites of the ring is assumed to be partitioned into $M$ pairs of
identical nearest-neighbour sites (dimers). The site energies for different
dimers are taken to be uncorrelated gaussian variables. For this system we
obtain the exact flux-dependent energy levels to second order in the random
site energies, using an earlier exact transfer matrix perturbation theory.
These results are used to study the mean persistent current generated by
$N_e\leq N$ spinless electrons occupying the $N_e$ lowest levels of the
flux-dependent energy band at zero temperature. Detailed analyses are carried
out in the limit $1\ll N_e\ll N$ and for a half-filled band ($N_e=N/2$), for
magnetic fluxes $-1/2 <\phi/\phi_0<1/2$. While the uncorrelated disorder leads
to a reduction of the persistent current, the disorder correlation acts to
enhance it. In particular, in the half-filled band case the correlated disorder
leads to a global flux-dependent enhancement of persistent current which has
the same form for even and odd $N_e$. At low filling of the energy band the
effect of the disorder on the persistent current is found to depend on the
parity of $N_e$: the correlated disorder yields a reduction of the current for
odd $N_e$ and an enhancement of the current for even $N_e$.
| cond-mat.mes-hall cond-mat.dis-nn | we study analytically the effect of a correlated random potential on the persistent current in a onedimensional ring threaded by a magnetic flux phi using an anderson tightbinding model in our model the system of n2m atomic sites of the ring is assumed to be partitioned into m pairs of identical nearestneighbour sites dimers the site energies for different dimers are taken to be uncorrelated gaussian variables for this system we obtain the exact fluxdependent energy levels to second order in the random site energies using an earlier exact transfer matrix perturbation theory these results are used to study the mean persistent current generated by n_eleq n spinless electrons occupying the n_e lowest levels of the fluxdependent energy band at zero temperature detailed analyses are carried out in the limit 1ll n_ell n and for a halffilled band n_en2 for magnetic fluxes 12 phiphi_012 while the uncorrelated disorder leads to a reduction of the persistent current the disorder correlation acts to enhance it in particular in the halffilled band case the correlated disorder leads to a global fluxdependent enhancement of persistent current which has the same form for even and odd n_e at low filling of the energy band the effect of the disorder on the persistent current is found to depend on the parity of n_e the correlated disorder yields a reduction of the current for odd n_e and an enhancement of the current for even n_e | [['we', 'study', 'analytically', 'the', 'effect', 'of', 'a', 'correlated', 'random', 'potential', 'on', 'the', 'persistent', 'current', 'in', 'a', 'onedimensional', 'ring', 'threaded', 'by', 'a', 'magnetic', 'flux', 'phi', 'using', 'an', 'anderson', 'tightbinding', 'model', 'in', 'our', 'model', 'the', 'system', 'of', 'n2m', 'atomic', 'sites', 'of', 'the', 'ring', 'is', 'assumed', 'to', 'be', 'partitioned', 'into', 'm', 'pairs', 'of', 'identical', 'nearestneighbour', 'sites', 'dimers', 'the', 'site', 'energies', 'for', 'different', 'dimers', 'are', 'taken', 'to', 'be', 'uncorrelated', 'gaussian', 'variables', 'for', 'this', 'system', 'we', 'obtain', 'the', 'exact', 'fluxdependent', 'energy', 'levels', 'to', 'second', 'order', 'in', 'the', 'random', 'site', 'energies', 'using', 'an', 'earlier', 'exact', 'transfer', 'matrix', 'perturbation', 'theory', 'these', 'results', 'are', 'used', 'to', 'study', 'the', 'mean', 'persistent', 'current', 'generated', 'by', 'n_eleq', 'n', 'spinless', 'electrons', 'occupying', 'the', 'n_e', 'lowest', 'levels', 'of', 'the', 'fluxdependent', 'energy', 'band', 'at', 'zero', 'temperature', 'detailed', 'analyses', 'are', 'carried', 'out', 'in', 'the', 'limit', '1ll', 'n_ell', 'n', 'and', 'for', 'a', 'halffilled', 'band', 'n_en2', 'for', 'magnetic', 'fluxes', '12', 'phiphi_012', 'while', 'the', 'uncorrelated', 'disorder', 'leads', 'to', 'a', 'reduction', 'of', 'the', 'persistent', 'current', 'the', 'disorder', 'correlation', 'acts', 'to', 'enhance', 'it', 'in', 'particular', 'in', 'the', 'halffilled', 'band', 'case', 'the', 'correlated', 'disorder', 'leads', 'to', 'a', 'global', 'fluxdependent', 'enhancement', 'of', 'persistent', 'current', 'which', 'has', 'the', 'same', 'form', 'for', 'even', 'and', 'odd', 'n_e', 'at', 'low', 'filling', 'of', 'the', 'energy', 'band', 'the', 'effect', 'of', 'the', 'disorder', 'on', 'the', 'persistent', 'current', 'is', 'found', 'to', 'depend', 'on', 'the', 'parity', 'of', 'n_e', 'the', 'correlated', 'disorder', 'yields', 'a', 'reduction', 'of', 'the', 'current', 'for', 'odd', 'n_e', 'and', 'an', 'enhancement', 'of', 'the', 'current', 'for', 'even', 'n_e']] | [-0.17923613637388544, 0.18091110739073013, 0.010809816313075258, 0.09171581924050809, 0.05710210821868733, -0.15436259243994, 0.0700289112342363, 0.3565320558172274, -0.222733090643553, -0.30036007718757746, 0.021514982949110105, -0.3130968018429988, -0.06426635920169188, 0.13869373467156387, 0.04809052260354795, -0.03544579285414929, 0.000837080359974123, 0.04757845980868219, -0.0729046000088466, -0.24651662325684695, 0.28158647567826384, 0.09454191779083711, 0.28778915666836374, 0.0816272341680931, 0.023239142168313263, 0.037535510797727295, 0.03130597589497871, 0.03529298613046078, -0.09636662353939833, 0.07171313177653034, 0.19888413658048562, -0.05760037412549904, 0.20922048605899227, -0.4554101820044378, -0.18607820162965738, 0.09182981497786463, 0.14051878566214657, 0.12551609138274525, 0.0018266738199212767, -0.25607490701541463, 0.061902731880941926, -0.17739356902447787, -0.1384640022161159, -0.035146186521593875, 0.03913507524139664, 0.018935835754568194, -0.3013978952581578, 0.11937120268319515, 0.041313275463502615, 0.05686039482342436, -0.06784845757932263, -0.1365486476600091, -0.0622755454664931, 0.11706021012976131, 0.030797723656507243, 0.0510803270480655, 0.14055295857065853, -0.1265696047696265, -0.07857035212986607, 0.34417136613566907, -0.07987352305517947, -0.16561503638018002, 0.16370707623997427, -0.16969738362079606, -0.11180976776089123, 0.19652267592919476, 0.1098716509786058, 0.06835690125664498, -0.10580624587279051, 0.09468859438177575, -0.035695536858699424, 0.18083673922847857, 0.003938203328784476, 0.03962038165315034, 0.2240825035391336, 0.147563980171021, 0.08627146146299833, 0.14817645094416876, -0.13905224247186623, -0.08083032995977617, -0.2525952926237493, -0.11600761107525769, -0.22658689962898163, 0.09174682565350482, -0.06806030742646978, -0.18314811232044026, 0.4436164213374178, 0.1500241040668272, 0.1859584648122496, 0.0028609909141991048, 0.24127676291985714, 0.18276101855135107, 0.02213664923774752, 0.053267069072264465, 0.20208945778555218, 0.14020637971487768, 0.06683388402452692, -0.2601438078401422, 0.010979765005647502, 0.03475747194061888] |
711.2206 | Covariant particle statistics and intertwiners of the kappa-deformed
Poincare algebra | To speak about identical particles - bosons or fermions - in quantum field
theories with kappa-deformed Poincare symmetry, one must have a kappa-covariant
notion of particle exchange. This means constructing intertwiners of the
relevant representations of kappa-Poincare. We show, in the simple case of
spinless particles, that intertwiners exist, and, supported by a perturbative
calculation to third order in 1/kappa, make a conjecture about the existence
and uniqueness of a certain preferred intertwiner defining particle exchange in
kappa-deformed theories.
| hep-th | to speak about identical particles bosons or fermions in quantum field theories with kappadeformed poincare symmetry one must have a kappacovariant notion of particle exchange this means constructing intertwiners of the relevant representations of kappapoincare we show in the simple case of spinless particles that intertwiners exist and supported by a perturbative calculation to third order in 1kappa make a conjecture about the existence and uniqueness of a certain preferred intertwiner defining particle exchange in kappadeformed theories | [['to', 'speak', 'about', 'identical', 'particles', 'bosons', 'or', 'fermions', 'in', 'quantum', 'field', 'theories', 'with', 'kappadeformed', 'poincare', 'symmetry', 'one', 'must', 'have', 'a', 'kappacovariant', 'notion', 'of', 'particle', 'exchange', 'this', 'means', 'constructing', 'intertwiners', 'of', 'the', 'relevant', 'representations', 'of', 'kappapoincare', 'we', 'show', 'in', 'the', 'simple', 'case', 'of', 'spinless', 'particles', 'that', 'intertwiners', 'exist', 'and', 'supported', 'by', 'a', 'perturbative', 'calculation', 'to', 'third', 'order', 'in', '1kappa', 'make', 'a', 'conjecture', 'about', 'the', 'existence', 'and', 'uniqueness', 'of', 'a', 'certain', 'preferred', 'intertwiner', 'defining', 'particle', 'exchange', 'in', 'kappadeformed', 'theories']] | [-0.1879018074035336, 0.25303053086042987, -0.10187190132481712, 0.11248200753092912, -0.07960682316356665, -0.17705961792161326, -0.005613471411603999, 0.29357378802854905, -0.21160192328033509, -0.259598568106046, 0.003907862548752652, -0.2725638979773775, -0.11081651219336147, 0.1016859570518136, -0.022053647302574926, 0.013778135470755688, 0.03371746203100139, 0.08539350097394222, -0.10455203011885962, -0.2612669715149836, 0.34743557936911074, 0.015769898811318947, 0.22313173755084154, 0.04053747602557013, 0.12160570573593889, 0.10412748795994498, 0.0064779092594013585, -0.025722453588402118, -0.1401229576520847, 0.13299412328701515, 0.22703466276553544, 0.009291745425963943, 0.19544575917050727, -0.4177353949612611, -0.14004768380689642, 0.12083764809679676, 0.16793372611478938, 0.13697397398048794, -0.06307169523501358, -0.31941533040001313, 0.027332912308055086, -0.21739102648450181, -0.20444362235025731, -0.09607327008595715, -0.0038644247257465184, -0.06850483782541056, -0.22354213678120793, 0.08096248982474208, 0.05096016123485691, 0.08355620601395895, -0.07776514166216185, -0.01766505597352788, -0.05233368075259223, 0.062123476441453704, 0.06480157859139628, 0.003743409003772132, 0.11847483824678491, -0.15511330340190657, -0.19661491218494712, 0.4032683079312374, -0.03668383245398714, -0.28906750506358586, 0.1439658132829256, -0.18356076752246878, -0.1720265114873454, 0.05299969719021351, 0.061187832964003666, 0.1051050548792466, -0.12214399511357407, 0.171954640604604, -0.08780464393618916, 0.12305594481642709, 0.13451168926843962, 0.03279363043309951, 0.23918576161195707, 0.052159630330642325, 0.03540463266930507, 0.11958427560310085, 0.0614560642703013, -0.18625403113372915, -0.37621912261011536, -0.22290714398062753, -0.1370412853407347, 0.12377145822921937, -0.1077965304611535, -0.171049248717435, 0.36683194015126724, 0.1709914443343152, 0.16610015344552018, 0.03757329356505886, 0.1841696251256319, 0.11020265822601202, 0.07719803159578716, 0.040328739168630404, 0.23156189106332212, 0.20500879408489284, 0.04612657491891802, -0.14598841988708364, -0.06823369985228622, 0.16614600747533434] |
711.2207 | Nos\'e-Hoover Dynamics in Quantum Phase Space | Thermal fluctuations in time-dependent quantum processes are treated by a
constant-temperature generalization of Wigner's formulation of quantum
mechanics in phase space. To this end, quantum Nos\`e-Hoover dynamics is
defined by generalizing the Moyal bracket. Computational applications of the
formalism, together with further theoretical developments, are discussed.
| quant-ph | thermal fluctuations in timedependent quantum processes are treated by a constanttemperature generalization of wigners formulation of quantum mechanics in phase space to this end quantum nosehoover dynamics is defined by generalizing the moyal bracket computational applications of the formalism together with further theoretical developments are discussed | [['thermal', 'fluctuations', 'in', 'timedependent', 'quantum', 'processes', 'are', 'treated', 'by', 'a', 'constanttemperature', 'generalization', 'of', 'wigners', 'formulation', 'of', 'quantum', 'mechanics', 'in', 'phase', 'space', 'to', 'this', 'end', 'quantum', 'nosehoover', 'dynamics', 'is', 'defined', 'by', 'generalizing', 'the', 'moyal', 'bracket', 'computational', 'applications', 'of', 'the', 'formalism', 'together', 'with', 'further', 'theoretical', 'developments', 'are', 'discussed']] | [-0.10169155769171598, 0.2321657153737286, -0.13496666110080222, 0.06257060174222874, -0.035247664858141674, -0.140557723838593, -0.0210106154124293, 0.30148888431975374, -0.2704769449470484, -0.24903309379663804, 0.007079122279284765, -0.25094347507895337, -0.20840430484436775, 0.1890290756912335, -0.12446863246757699, 0.11037189124718956, 0.0370443158418588, 0.0002792553834455169, -0.11460845948591747, -0.22291115678482407, 0.2847096087289569, 0.11153144262093322, 0.2562185926767795, 0.013574456998511501, 0.06029176660408468, 0.028389754664638767, -0.047313287935179214, 0.019479150123990385, -0.14312027123473262, 0.09469164201341894, 0.26420700837574573, 0.04916621999734122, 0.256583946534311, -0.47174572478979826, -0.29378677985084284, 0.0035040981652539062, 0.1192668013315162, 0.1292451230161216, -0.026409514385032588, -0.338264336242624, -0.04860126241312727, -0.17470023116987685, -0.18025703345546903, -0.10842405285929209, -0.020345696217744895, -0.008792935627634111, -0.14006654298661844, 0.10831864933361826, 0.06216790637952964, 0.06528209407121682, -0.009706843117980854, -0.06752049343903428, 0.02154694596791397, 0.036441177281591554, -0.045113579182804606, 0.036607137992573174, 0.17049556747888742, -0.10461507735105799, -0.20043765522701584, 0.4158958215266466, -0.0013937827948804784, -0.25976221652134607, 0.1074585626003049, -0.11092530607002908, -0.18672610665469067, 0.07923761000046911, 0.07450732669752577, 0.07247490365989506, -0.17176226206609738, 0.17812450735262877, 0.03192560836348845, 0.0075086121518245855, 0.025714805106753887, 0.06299224195612149, 0.1893924916183333, 0.13150089386972072, -0.026858526848904465, 0.15879152995615226, 0.03569842642173171, -0.3500106469525591, -0.3619520066144026, -0.1838479021700313, -0.21733048258592252, 0.1123610601618724, -0.055752988196099584, -0.14532284922492894, 0.3401531210857565, 0.15240688174558076, 0.149736894355358, 0.028492885469661458, 0.28880732619891997, 0.1810097410141126, -0.015965308184209076, 0.0032191273007217956, 0.21084760391133148, 0.3025461771302735, 0.11867695187380456, -0.21598916263167706, -0.019514561676339286, 0.12592985769025172] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.