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710.1953 | Strong Reduction of the Field-Dependent Microwave Surface Resistance in
YBCO with BaZrO_3 Inclusions | We present measurements of the magnetic field dependent microwave surface
resistance in laser-ablated YBa$_2$Cu$_3$O$_{7-\delta}$ films on SrTiO$_3$
substrates. BaZrO$_3$ crystallites were included in the films using composite
targets containing BaZrO$_3$ inclusions with mean grain size smaller than 1
$\mu$m. X-ray diffraction showed single epitaxial relationship between
BaZrO$_3$ and YBa$_2$Cu$_3$O$_{7-\delta}$. The effective surface resistance was
measured at 47.7 GHz for 60$< T <$90 K and 0$< \mu_0H <$0.8 T. The magnetic
field had a very different effect on pristine YBa$_2$Cu$_3$O$_{7-\delta}$ and
YBa$_2$Cu$_3$O$_{7-\delta}$/BaZrO$_3$, while for $\mu_0H=$0 only a reduction of
$T_c$ in the YBa$_2$Cu$_3$O$_{7-\delta}$/BaZrO$_3$ film was observed,
consistent with dc measurements. At low enough $T$, in moderate fields
YBa$_2$Cu$_3$O$_{7-\delta}$/BaZrO$_3$ exhibited an intrinsic thin film
resistance lower than the pure film. The results clearly indicate that
BaZrO$_3$ inclusions determine a strong reduction of the field-dependent
surface resistance. From the analysis of the data in the framework of simple
models for the microwave surface impedance in the mixed state we argue that
BaZrO$_3$ inclusions determine very steep pinning potentials.
| cond-mat.supr-con cond-mat.mtrl-sci | we present measurements of the magnetic field dependent microwave surface resistance in laserablated yba_2cu_3o_7delta films on srtio_3 substrates bazro_3 crystallites were included in the films using composite targets containing bazro_3 inclusions with mean grain size smaller than 1 mum xray diffraction showed single epitaxial relationship between bazro_3 and yba_2cu_3o_7delta the effective surface resistance was measured at 477 ghz for 60 t 90 k and 0 mu_0h 08 t the magnetic field had a very different effect on pristine yba_2cu_3o_7delta and yba_2cu_3o_7deltabazro_3 while for mu_0h0 only a reduction of t_c in the yba_2cu_3o_7deltabazro_3 film was observed consistent with dc measurements at low enough t in moderate fields yba_2cu_3o_7deltabazro_3 exhibited an intrinsic thin film resistance lower than the pure film the results clearly indicate that bazro_3 inclusions determine a strong reduction of the fielddependent surface resistance from the analysis of the data in the framework of simple models for the microwave surface impedance in the mixed state we argue that bazro_3 inclusions determine very steep pinning potentials | [['we', 'present', 'measurements', 'of', 'the', 'magnetic', 'field', 'dependent', 'microwave', 'surface', 'resistance', 'in', 'laserablated', 'yba_2cu_3o_7delta', 'films', 'on', 'srtio_3', 'substrates', 'bazro_3', 'crystallites', 'were', 'included', 'in', 'the', 'films', 'using', 'composite', 'targets', 'containing', 'bazro_3', 'inclusions', 'with', 'mean', 'grain', 'size', 'smaller', 'than', '1', 'mum', 'xray', 'diffraction', 'showed', 'single', 'epitaxial', 'relationship', 'between', 'bazro_3', 'and', 'yba_2cu_3o_7delta', 'the', 'effective', 'surface', 'resistance', 'was', 'measured', 'at', '477', 'ghz', 'for', '60', 't', '90', 'k', 'and', '0', 'mu_0h', '08', 't', 'the', 'magnetic', 'field', 'had', 'a', 'very', 'different', 'effect', 'on', 'pristine', 'yba_2cu_3o_7delta', 'and', 'yba_2cu_3o_7deltabazro_3', 'while', 'for', 'mu_0h0', 'only', 'a', 'reduction', 'of', 't_c', 'in', 'the', 'yba_2cu_3o_7deltabazro_3', 'film', 'was', 'observed', 'consistent', 'with', 'dc', 'measurements', 'at', 'low', 'enough', 't', 'in', 'moderate', 'fields', 'yba_2cu_3o_7deltabazro_3', 'exhibited', 'an', 'intrinsic', 'thin', 'film', 'resistance', 'lower', 'than', 'the', 'pure', 'film', 'the', 'results', 'clearly', 'indicate', 'that', 'bazro_3', 'inclusions', 'determine', 'a', 'strong', 'reduction', 'of', 'the', 'fielddependent', 'surface', 'resistance', 'from', 'the', 'analysis', 'of', 'the', 'data', 'in', 'the', 'framework', 'of', 'simple', 'models', 'for', 'the', 'microwave', 'surface', 'impedance', 'in', 'the', 'mixed', 'state', 'we', 'argue', 'that', 'bazro_3', 'inclusions', 'determine', 'very', 'steep', 'pinning', 'potentials']] | [-0.12164111960702008, 0.2116136322893442, -0.027791254387078124, -0.032535668996321716, -0.000360770596804597, -0.15760818538085625, 0.08936215407998023, 0.4370220000287745, -0.1900127432536243, -0.36167159950269795, 0.015612630356084015, -0.33666716242867817, -0.05393884740855045, 0.21313240282555543, 0.0014839262656140618, 0.012617687588250945, -0.046928716732597936, -0.08146342818579841, -0.08400050510095841, -0.2315594529982929, 0.2316763473684593, 0.008673782287188238, 0.36407589622228065, 0.08098091666015977, 0.04885577208365359, -0.048425464632512044, 0.09016161862897074, 0.09569138954052837, -0.18264347008081996, 0.011216302632308769, 0.2538195885656866, -0.1358198104142325, 0.15012926127897894, -0.46453340635521384, -0.21124230196242358, -0.015353059384790136, 0.07760134493085988, 0.09518838487210593, -0.06371349590779396, -0.20711776828705675, 0.11222249654791795, -0.04276798269569465, -0.10400704974762914, -0.015198261090895025, 0.0387762285720716, -0.039786106299555, -0.23547540878679707, 0.13936519723015742, 0.05312690711452444, 0.18373076099243651, -0.15424333116687017, -0.18311048724416007, -0.10047647283801514, 0.010204274266626028, 0.029821083307402525, 0.08470638037060114, 0.21800478342806967, -0.1248511543111285, -0.0341353568464245, 0.2638152054675696, -0.10915484322925671, -0.030717103841441978, 0.16232156927879082, -0.23739688845192333, -0.05453161856091422, 0.20049588834844168, 0.12346092854603762, 0.12932336638204572, -0.13987028057596124, 0.07239775301476163, -0.003776355057375551, 0.26847456957826893, 0.13170558432253396, -0.002401938775508869, 0.19850001733454808, 0.20489283273473563, 0.006100702832066794, 0.15729510229117827, -0.16558643020320366, 0.0773556898915913, -0.22452920138631471, -0.1592928723718903, -0.16161277831997722, 0.09849327531850488, -0.14859285502293126, -0.19204616255308615, 0.2990945604709318, 0.09427171457195427, 0.19400053881903792, -0.01401147342971299, 0.2098112343469771, 0.04742558946032304, 0.11067079026933486, 0.04128969132491365, 0.2690751153532779, 0.22679131819260387, 0.14658655867375583, -0.2647673887010414, 0.10847165316439847, -0.09280186419434869] |
710.1954 | Prospects for the Determination of Higgs Boson Properties at the LHC | The prospects for the determination of the properties of a hypothetical boson
discovered at the Large Hadron Collider using measurements to be performed with
the ATLAS and CMS detectors are summarized. The properties that are discussed
are the mass of the boson, its width, the strength of its couplings to
fermions, the strength and structure of its couplings to gauge bosons and its
spin and CP quantum numbers.
| hep-ph | the prospects for the determination of the properties of a hypothetical boson discovered at the large hadron collider using measurements to be performed with the atlas and cms detectors are summarized the properties that are discussed are the mass of the boson its width the strength of its couplings to fermions the strength and structure of its couplings to gauge bosons and its spin and cp quantum numbers | [['the', 'prospects', 'for', 'the', 'determination', 'of', 'the', 'properties', 'of', 'a', 'hypothetical', 'boson', 'discovered', 'at', 'the', 'large', 'hadron', 'collider', 'using', 'measurements', 'to', 'be', 'performed', 'with', 'the', 'atlas', 'and', 'cms', 'detectors', 'are', 'summarized', 'the', 'properties', 'that', 'are', 'discussed', 'are', 'the', 'mass', 'of', 'the', 'boson', 'its', 'width', 'the', 'strength', 'of', 'its', 'couplings', 'to', 'fermions', 'the', 'strength', 'and', 'structure', 'of', 'its', 'couplings', 'to', 'gauge', 'bosons', 'and', 'its', 'spin', 'and', 'cp', 'quantum', 'numbers']] | [-0.1301262577831307, 0.26619417642188425, -0.045533597613136995, 0.07265996082466752, -0.06521311837851125, -0.12435686538297244, 0.03127807683845544, 0.32741064444074736, -0.2466484693098156, -0.30189469503238797, 0.07982316725503873, -0.3168611228671473, -0.003775988397298052, 0.180161674726097, 0.1321472887031953, 0.1063453473171274, 0.07304595180047567, 0.03874083108487813, -0.0943650009952869, -0.2678620780318263, 0.2655707565102014, 0.09557798610801589, 0.18502283585257828, 0.11180412552237291, 0.07684160388923962, 0.012682803618886015, -0.0104681295068825, -0.022449523977497044, -0.11156501390627561, 0.11004475984886727, 0.16749984384445912, 0.06231322355897111, 0.11563720680458252, -0.3224793146090472, -0.08238204967860571, 0.1063063217957011, 0.07560183652265764, 0.077692293568843, -0.09396616009283154, -0.3913094568449785, 0.11617759589160628, -0.18740942781818481, -0.17541844780755447, -0.050998520112604154, -0.015181781847358626, -0.014938445186571163, -0.2656904481298304, 0.055297705149688924, -0.05536365383030737, 0.05504187436171753, 0.016294286784935084, -0.1802809838178184, -0.10926819809794645, 0.06363583520664286, 0.1257508843726314, -0.015829063856097704, 0.17592240053722086, -0.2590237939319409, -0.18778303073828712, 0.38220073989428144, -0.04497367864036385, -0.18453845883692233, 0.2329340081264758, -0.1900450964595246, -0.12572273463421665, 0.08551176370340674, 0.19771458855008378, 0.048508724451119846, -0.16886961075343768, 0.16771899741348428, 0.00455720051575233, 0.14080992895726333, -0.01161418655914638, 0.13925249626010874, 0.27612867852440104, 0.19554995082537918, -0.02489185212727855, 0.07625924313427224, -0.16520801621407052, -0.04885977883275379, -0.38174140135593276, -0.1631394343875239, -0.14443132132017875, -0.0007799899270621073, -0.03306359597327708, -0.1005869064178756, 0.43349897695760076, 0.14225823379477814, 0.2728828190250651, 0.010079141446005772, 0.24660980460398338, 0.1107522996591048, 0.11633176167764331, -0.01714506205997382, 0.3784509103895877, 0.2396280234953498, 0.12003265458213933, -0.2728608439073843, 0.005160979550376343, 0.06194353799048044] |
710.1955 | Renormalization, Wilson lines, and transverse-momentum dependent parton
distribution functions | We perform an analysis of transverse-momentum dependent parton distribution
functions, making use of their renormalization properties in terms of their
leading-order anomalous dimensions. We show that the appropriate Wilson line in
the light-cone gauge, associated with such quantities, is a cusped one. To
cancel the ensuing cusp anomalous dimension, we include in the definition of
the transverse-momentum dependent parton distribution functions an additional
soft counter term (gauge link) along that contour. We demonstrate that this is
tantamount to an ``intrinsic (Coulomb) phase'', which accumulates the full
gauge history of the color-charged particle.
| hep-ph | we perform an analysis of transversemomentum dependent parton distribution functions making use of their renormalization properties in terms of their leadingorder anomalous dimensions we show that the appropriate wilson line in the lightcone gauge associated with such quantities is a cusped one to cancel the ensuing cusp anomalous dimension we include in the definition of the transversemomentum dependent parton distribution functions an additional soft counter term gauge link along that contour we demonstrate that this is tantamount to an intrinsic coulomb phase which accumulates the full gauge history of the colorcharged particle | [['we', 'perform', 'an', 'analysis', 'of', 'transversemomentum', 'dependent', 'parton', 'distribution', 'functions', 'making', 'use', 'of', 'their', 'renormalization', 'properties', 'in', 'terms', 'of', 'their', 'leadingorder', 'anomalous', 'dimensions', 'we', 'show', 'that', 'the', 'appropriate', 'wilson', 'line', 'in', 'the', 'lightcone', 'gauge', 'associated', 'with', 'such', 'quantities', 'is', 'a', 'cusped', 'one', 'to', 'cancel', 'the', 'ensuing', 'cusp', 'anomalous', 'dimension', 'we', 'include', 'in', 'the', 'definition', 'of', 'the', 'transversemomentum', 'dependent', 'parton', 'distribution', 'functions', 'an', 'additional', 'soft', 'counter', 'term', 'gauge', 'link', 'along', 'that', 'contour', 'we', 'demonstrate', 'that', 'this', 'is', 'tantamount', 'to', 'an', 'intrinsic', 'coulomb', 'phase', 'which', 'accumulates', 'the', 'full', 'gauge', 'history', 'of', 'the', 'colorcharged', 'particle']] | [-0.14091865260801886, 0.20164776106447907, -0.15389364141889889, 0.1248756428818603, -0.10160910061803526, -0.04380198824725559, -0.01148434473282617, 0.4099969235451325, -0.20876863748645005, -0.21042627653957385, -0.0001052223720446067, -0.29410145249541686, -0.13642206117156488, 0.10565987232510689, -0.008934635410854675, 0.06567327715026255, 0.010496234288439155, 0.013815148429864126, -0.12175076120057264, -0.2180479125160238, 0.38779500268561684, 0.053362150899256056, 0.25734631959146453, 0.1210287967291863, 0.13493543983761058, 0.09844998930297467, -0.1027599310795979, -0.02382876443595666, -0.10239086696824613, 0.08127759741214306, 0.15877715215775307, 0.03136264993657317, 0.13231714431996175, -0.3973067166364711, -0.1693062289091556, 0.07261029001750538, 0.17092546822665178, 0.08781415148025742, 0.019831685336691367, -0.22428542391761488, 0.01576766424873115, -0.23185004879538293, -0.22347870464917555, -0.11372425753380293, -0.03644083634666775, -0.003658362957851394, -0.24642505015894448, 0.09690547745634356, 0.013624992545532144, 0.02533024765611829, -0.011499588357527618, -0.10474171461638711, -0.058312401458944965, 0.11096242306318702, 0.12833651986843703, 0.0578201790795783, 0.15922177520722314, -0.22649518321217646, -0.14045026982152511, 0.35595505028132995, -0.060030697455184294, -0.24835351813058165, 0.13178579121544634, -0.1733078384979466, -0.1716883344191086, 0.14291581223393302, 0.16175685942415957, 0.10556363159001035, -0.16745568685861223, 0.13631383960550328, -0.02672359886903154, 0.1594192996891924, 0.05871186353286485, 0.06587325691994604, 0.19177981757599374, 0.07111412592475182, 0.03942396396609104, 0.1271052256975647, -0.07788219889081792, -0.12313997500535587, -0.41377341882933094, -0.15261902316959333, -0.1298622249159962, 0.07694213469538068, -0.15179919762253438, -0.24203988395469345, 0.3908064473998029, 0.16774581057910362, 0.25803625712464767, 0.037611518279173535, 0.28078576029561786, 0.1809482285246739, 0.10796559406646891, 0.03530416515676062, 0.19221144413535038, 0.12805503798122314, 0.07982605613798786, -0.2836119260476983, -0.012079438715970711, 0.1145952243595789] |
710.1956 | Particular boundary condition ensures that a fermion in d=1+5,
compactified on a finite disk, manifests in d=1+3 as massless spinor with a
charge 1/2, mass protected and chirally coupled to the gauge field | The genuine Kaluza-Klein-like theories--with no fields in addition to
gravity--have difficulties with the existence of massless spinors after the
compactification of some space dimensions \cite{witten}. We proposed in
previous paper a boundary condition for spinors in d=(1+5) compactified on a
flat disk that ensures masslessness of spinors (with all positive half integer
charges) in d=(1+3) as well as their chiral coupling to the corresponding
background gauge gravitational field. In this paper we study the same toy
model, proposing a boundary condition allowing a massless spinor of one
handedness and only one charge (1/2) and infinitely many massive spinors of the
same charge, allowing disc to be curved. We define the operator of momentum to
be Hermitean on the vector space of spinor states--the solutions on a disc with
the boundary.
| hep-th | the genuine kaluzakleinlike theorieswith no fields in addition to gravityhave difficulties with the existence of massless spinors after the compactification of some space dimensions citewitten we proposed in previous paper a boundary condition for spinors in d15 compactified on a flat disk that ensures masslessness of spinors with all positive half integer charges in d13 as well as their chiral coupling to the corresponding background gauge gravitational field in this paper we study the same toy model proposing a boundary condition allowing a massless spinor of one handedness and only one charge 12 and infinitely many massive spinors of the same charge allowing disc to be curved we define the operator of momentum to be hermitean on the vector space of spinor statesthe solutions on a disc with the boundary | [['the', 'genuine', 'kaluzakleinlike', 'theorieswith', 'no', 'fields', 'in', 'addition', 'to', 'gravityhave', 'difficulties', 'with', 'the', 'existence', 'of', 'massless', 'spinors', 'after', 'the', 'compactification', 'of', 'some', 'space', 'dimensions', 'citewitten', 'we', 'proposed', 'in', 'previous', 'paper', 'a', 'boundary', 'condition', 'for', 'spinors', 'in', 'd15', 'compactified', 'on', 'a', 'flat', 'disk', 'that', 'ensures', 'masslessness', 'of', 'spinors', 'with', 'all', 'positive', 'half', 'integer', 'charges', 'in', 'd13', 'as', 'well', 'as', 'their', 'chiral', 'coupling', 'to', 'the', 'corresponding', 'background', 'gauge', 'gravitational', 'field', 'in', 'this', 'paper', 'we', 'study', 'the', 'same', 'toy', 'model', 'proposing', 'a', 'boundary', 'condition', 'allowing', 'a', 'massless', 'spinor', 'of', 'one', 'handedness', 'and', 'only', 'one', 'charge', '12', 'and', 'infinitely', 'many', 'massive', 'spinors', 'of', 'the', 'same', 'charge', 'allowing', 'disc', 'to', 'be', 'curved', 'we', 'define', 'the', 'operator', 'of', 'momentum', 'to', 'be', 'hermitean', 'on', 'the', 'vector', 'space', 'of', 'spinor', 'statesthe', 'solutions', 'on', 'a', 'disc', 'with', 'the', 'boundary']] | [-0.17546861639290345, 0.1795216244012924, -0.05058130166515356, 0.058504626384980274, -0.12232261006793696, -0.12819645304863495, -0.025723330814054046, 0.33073846363521175, -0.16263608892235581, -0.2717029365287419, 0.08313632503749553, -0.23497096604601606, -0.11295154140748846, 0.10717702457703299, -0.031140872372651663, 0.03507733157667236, -0.013535793720355889, 0.06785812464315356, -0.10125854546451707, -0.2643890446711948, 0.4054456362904115, -0.023519035052933443, 0.2134891151318576, 0.04447267758183357, 0.1301268671499932, 0.0035141339034252747, 0.021637704436058603, -0.014650916010159706, -0.08764340357670944, 0.09493907886065954, 0.19085873441228013, 0.04232249735656569, 0.19698607225170886, -0.43045561241836644, -0.1989664200136042, 0.1126200346804158, 0.17458678919117987, 0.11149282202740589, -0.009843144198241607, -0.2934588906318536, 0.05183260812328791, -0.1406151855137111, -0.2132292244570535, -0.056658760473997455, -0.00023387293202993203, -0.0924292972813705, -0.24706802939662462, 0.07520737615597295, 0.06357341410599532, 0.03575603880985515, -0.13478668394872523, -0.08875768882493804, -0.10324616268401833, 0.06157647545530102, 0.11070508096187456, 0.06873205039873866, 0.09380428773153016, -0.14594682953393776, -0.12400214101635212, 0.3625284168597927, -0.09917679610185501, -0.3210342143273612, 0.16948153948279346, -0.19063946127334214, -0.11527563121140473, 0.09059942625536341, 0.1222450421796745, 0.1502700517592057, -0.122829208267838, 0.15370786175274795, -0.0801267033144025, 0.11588725747676258, 0.13292799365897406, 0.0461702668025547, 0.2621808460818266, 0.0738909985488794, 0.09076321558013016, 0.10738687415416609, -0.027190315841484493, -0.10571542381506971, -0.393023951433775, -0.2287456164957853, -0.13522036007777824, 0.10565861704663967, -0.1102572492079527, -0.19927699559214196, 0.4132920489756493, 0.1228548400874037, 0.2115683002162754, 0.012803302322492355, 0.24973566919440535, 0.08996595419516171, 0.08815052610176696, 0.08010491357903606, 0.2201454035846579, 0.17459460809885516, 0.08622638657175767, -0.19412645947657467, -0.1284513422934243, 0.10836053875414288] |
710.1957 | Determination of the Discovery Potential for Higgs Bosons in MSSM | The CMS and ATLAS collaborations have performed detailed studies of the
discovery potential for the Higgs boson in MSSM. Different benchmarks scenarios
have been studied both for the CP-conserving case and for the CP-violating one.
Results are presented of the discovery potential in the parameter space of
MSSM.
| hep-ex | the cms and atlas collaborations have performed detailed studies of the discovery potential for the higgs boson in mssm different benchmarks scenarios have been studied both for the cpconserving case and for the cpviolating one results are presented of the discovery potential in the parameter space of mssm | [['the', 'cms', 'and', 'atlas', 'collaborations', 'have', 'performed', 'detailed', 'studies', 'of', 'the', 'discovery', 'potential', 'for', 'the', 'higgs', 'boson', 'in', 'mssm', 'different', 'benchmarks', 'scenarios', 'have', 'been', 'studied', 'both', 'for', 'the', 'cpconserving', 'case', 'and', 'for', 'the', 'cpviolating', 'one', 'results', 'are', 'presented', 'of', 'the', 'discovery', 'potential', 'in', 'the', 'parameter', 'space', 'of', 'mssm']] | [-0.0983754090751366, 0.13935050027794205, -0.030212181465079386, 0.11367825818403314, -0.06637247461670388, -0.16267487268972522, 0.014435219306809207, 0.3425389726956685, -0.12250202769064344, -0.30999263701960444, 0.08796562029601773, -0.2919310858317961, -0.029353674831024062, 0.21938761034592366, 0.05828858818858862, 0.15796429149728888, 0.11919865990057588, -0.02610164663443963, -0.056841466740782685, -0.33014497137628496, 0.2733836138262025, 0.02030799720281114, 0.18723915926724052, 0.09525104272567357, -0.010510003679276755, 0.004139284710011755, -0.094223113070863, -0.06733430785304033, -0.16064780158922076, 0.07319817943304467, 0.21758439671248198, 0.1102807589098423, 0.14641065946004042, -0.31472629712273675, -0.2073264371138066, 0.18957352601379776, 0.15366475085223405, 0.04496209672652185, -0.15467563376296312, -0.39988661716051865, 0.10759608565907304, -0.23940518089026833, -0.07091099667983751, -0.09139756434888113, -0.008222128982500484, -0.1054941340116784, -0.31898444522327435, 0.0587530155753484, -0.11852463311515749, 0.0914534511199842, -0.03723656501582203, -0.24334600525617134, -0.08452890801709145, 0.07642511107648413, 0.1715481601228627, -0.029381683125393465, 0.12076864531263709, -0.23155653824020797, -0.2499584024383997, 0.35877697872153175, -0.04333174414932728, -0.17008404685475398, 0.20437318699744841, -0.19449859409360215, -0.2090433223541671, 0.07762218169712772, 0.22891704705155766, 0.06888367410283536, -0.21458181026779735, 0.2699714522629317, -0.03533772968997558, 0.06846836051166368, 0.022778392895512905, 0.04671282693743706, 0.1924206761517174, 0.27041402224373695, 0.012747019383823499, 0.05581518730711347, -0.12500527691251287, -0.133830954398339, -0.4135090514707069, -0.13024326522524157, -0.06696262350305915, -0.13678120284263665, -0.04319337934612122, -0.05026193242520094, 0.44611531332096394, 0.14886168433198085, 0.24668520564834276, -0.04944693846240019, 0.2821370762928079, 0.035911666501003005, 0.08982691632021063, -0.044216949924399764, 0.42488477014315623, 0.06730144831817597, 0.17833813567024967, -0.19782285888989767, 0.007472604784804086, 0.0475655507373934] |
710.1958 | Reconstructing the properties of dark energy from recent observations | We explore the properties of dark energy from recent observational data,
including the Gold Sne Ia, the baryonic acoustic oscillation peak from SDSS,
the CMB shift parameter from WMAP3, the X-ray gas mass fraction in cluster and
the Hubble parameter versus redshift. The $\Lambda CDM$ model with curvature
and two parameterized dark energy models are studied. For the $\Lambda CDM$
model, we find that the flat universe is consistent with observations at the
$1\sigma$ confidence level and a closed universe is slightly favored by these
data. For two parameterized dark energy models, with the prior given on the
present matter density, $\Omega_{m0}$, with $\Omega_{m0}=0.24$,
$\Omega_{m0}=0.28$ and $\Omega_{m0}=0.32$, our result seems to suggest that the
trend of $\Omega_{m0}$ dependence for an evolving dark energy from a
combination of the observational data sets is model-dependent.
| astro-ph | we explore the properties of dark energy from recent observational data including the gold sne ia the baryonic acoustic oscillation peak from sdss the cmb shift parameter from wmap3 the xray gas mass fraction in cluster and the hubble parameter versus redshift the lambda cdm model with curvature and two parameterized dark energy models are studied for the lambda cdm model we find that the flat universe is consistent with observations at the 1sigma confidence level and a closed universe is slightly favored by these data for two parameterized dark energy models with the prior given on the present matter density omega_m0 with omega_m0024 omega_m0028 and omega_m0032 our result seems to suggest that the trend of omega_m0 dependence for an evolving dark energy from a combination of the observational data sets is modeldependent | [['we', 'explore', 'the', 'properties', 'of', 'dark', 'energy', 'from', 'recent', 'observational', 'data', 'including', 'the', 'gold', 'sne', 'ia', 'the', 'baryonic', 'acoustic', 'oscillation', 'peak', 'from', 'sdss', 'the', 'cmb', 'shift', 'parameter', 'from', 'wmap3', 'the', 'xray', 'gas', 'mass', 'fraction', 'in', 'cluster', 'and', 'the', 'hubble', 'parameter', 'versus', 'redshift', 'the', 'lambda', 'cdm', 'model', 'with', 'curvature', 'and', 'two', 'parameterized', 'dark', 'energy', 'models', 'are', 'studied', 'for', 'the', 'lambda', 'cdm', 'model', 'we', 'find', 'that', 'the', 'flat', 'universe', 'is', 'consistent', 'with', 'observations', 'at', 'the', '1sigma', 'confidence', 'level', 'and', 'a', 'closed', 'universe', 'is', 'slightly', 'favored', 'by', 'these', 'data', 'for', 'two', 'parameterized', 'dark', 'energy', 'models', 'with', 'the', 'prior', 'given', 'on', 'the', 'present', 'matter', 'density', 'omega_m0', 'with', 'omega_m0024', 'omega_m0028', 'and', 'omega_m0032', 'our', 'result', 'seems', 'to', 'suggest', 'that', 'the', 'trend', 'of', 'omega_m0', 'dependence', 'for', 'an', 'evolving', 'dark', 'energy', 'from', 'a', 'combination', 'of', 'the', 'observational', 'data', 'sets', 'is', 'modeldependent']] | [-0.07022959683961341, 0.13461767463424537, -0.08898241339493117, 0.1279341839982609, -0.12380582151067165, -0.08361305663262615, 0.0371275921156701, 0.3447762335871012, -0.20165126522619078, -0.3639884023200223, 0.01195720337661879, -0.3256551255223178, 0.02672409328084638, 0.20087050361814732, 0.03615706519202422, 0.006736885041766266, 0.03966940843450432, -0.011503958832899123, -0.02293200011954746, -0.2547152522917595, 0.375419300319698, 0.0982852695289402, 0.2308371793274334, -0.029315778345779607, 0.0668931852676017, -0.10684400371041235, -0.0870888271859584, 0.0035679991852904437, -0.2654142454592022, 0.05030011136230536, 0.20144682387957563, 0.15073299602399232, 0.18233540761533357, -0.3516137968066312, -0.2546187113954522, 0.16776195963318566, 0.13217318884473833, 0.11040595899343149, -0.075695815671214, -0.29421930997596896, 0.006085035196978257, -0.17424310991746722, -0.09547972743744244, 0.016751546274074387, -0.017455441765940414, 0.000704893980971502, -0.2372142833454058, 0.2311774762311794, -0.05849095314869102, -0.017249478148083197, -0.15752102326573306, -0.15250594884455773, -0.07609794445456723, -0.053763178269599234, 0.06612061709165573, 0.05578428698558794, 0.12642015835611534, -0.17294615067413632, -0.009101828563787783, 0.405791217859351, -0.12590120223756054, -0.06976705374381015, 0.13327582489755999, -0.1701050818158413, -0.14737454941496253, 0.06675282560061407, 0.09277144050623738, 0.0004911087524458652, -0.10357315464386048, 0.13975487738485157, 0.004506667392534552, 0.23935001231161238, 0.02522106462634588, 0.011872962274489115, 0.32683837136746036, 0.1712205822389388, 0.039655690511532185, 0.02288967242308018, -0.1573789054687839, -0.039641989963769005, -0.3153446044715989, -0.04125855141141601, -0.1520651456942597, 0.02503514357394617, -0.18474163221264656, -0.1333699974583334, 0.3640253564506371, 0.10025175097789474, 0.2742196338265452, 0.11626623319248662, 0.3326574282734904, 0.0778263550010005, 0.039933589745654176, 0.07451615161582373, 0.3199518850990322, 0.10545573024726153, 0.0758822490452284, -0.2192182541711128, 0.029978846300229827, -0.059670497044807175] |
710.1959 | Nonlinear Neumann boundary stabilization of the wave equation using
rotated multipliers | The rotated multipliers method is performed in the case of the boundary
stabilization by means of a(linear or non-linear) Neumann feedback. this method
leads to new geometrical cases concerning the "active" part of the boundary
where the feedback is apllied. Due to mixed boundary conditions, these cases
generate singularities. Under a simple geometrical conditon concerning the
orientation of boundary, we obtain a stabilization result in both cases.
| math.OC math.AP | the rotated multipliers method is performed in the case of the boundary stabilization by means of alinear or nonlinear neumann feedback this method leads to new geometrical cases concerning the active part of the boundary where the feedback is apllied due to mixed boundary conditions these cases generate singularities under a simple geometrical conditon concerning the orientation of boundary we obtain a stabilization result in both cases | [['the', 'rotated', 'multipliers', 'method', 'is', 'performed', 'in', 'the', 'case', 'of', 'the', 'boundary', 'stabilization', 'by', 'means', 'of', 'alinear', 'or', 'nonlinear', 'neumann', 'feedback', 'this', 'method', 'leads', 'to', 'new', 'geometrical', 'cases', 'concerning', 'the', 'active', 'part', 'of', 'the', 'boundary', 'where', 'the', 'feedback', 'is', 'apllied', 'due', 'to', 'mixed', 'boundary', 'conditions', 'these', 'cases', 'generate', 'singularities', 'under', 'a', 'simple', 'geometrical', 'conditon', 'concerning', 'the', 'orientation', 'of', 'boundary', 'we', 'obtain', 'a', 'stabilization', 'result', 'in', 'both', 'cases']] | [-0.1517423997958593, 0.07434365319116323, -0.06716132676228881, 0.005848816819982885, -0.09807588350888567, -0.1504601175741603, 0.007601209501665311, 0.3347582089764094, -0.2841947438463456, -0.237122513523156, 0.1886053469462433, -0.18094895424490626, -0.14406050458395234, 0.21028339938669832, -0.1364830768751827, 0.0463903397886139, 0.05816373018773668, 0.03407601040618664, -0.07885570837551671, -0.23494852768172594, 0.37961325703795545, -0.007968207233881747, 0.24053154789108896, 0.050838299733269116, 0.08140374046298816, -0.015283708651126786, -0.010076028626468597, 0.039906093891879595, -0.14849859486319916, 0.0937149922899676, 0.1844531720941604, 0.022593751634386452, 0.2553488547970174, -0.4241215686567805, -0.21071085048783006, 0.07192944850292847, 0.07768376948043818, 0.09926255195486275, -0.06690962799246225, -0.26870083704125136, 0.06782750256190245, -0.10138926491367095, -0.1835082485269981, -0.043981283945454794, -0.0543127768870556, -0.023159148053530247, -0.34556708531454206, 0.10623377721728475, 0.0957674186281634, 0.050595934658000864, -0.13625747620861864, -0.04889686793004247, -0.010720251925346074, 0.12141939593747145, 0.028708602520496104, -0.018869705194833154, 0.07682983587129098, -0.13812568638329112, -0.07259915237822993, 0.36295307749374345, 0.03401769711777116, -0.29742821782940265, 0.2139498192435977, -0.12847327406405273, -0.08873524351370041, 0.10710113828606678, 0.12949119147026178, 0.17693348830763364, -0.10524292421442541, 0.10293105357524121, -0.056618643797595396, 0.10974625962306604, 0.10650562367994677, -0.021194438365372745, 0.12482153672273412, 0.09486949759196829, 0.14581499979866555, 0.24209619513721642, -0.04853430553339422, -0.09962722721904742, -0.37626819481903856, -0.12641629942156601, -0.11605489217309338, 0.046676460851096745, -0.08794266438979487, -0.20220420031921205, 0.39941640559471014, 0.10871921090239828, 0.1895916612085068, -0.031876598259039, 0.29319403574547986, 0.11945314554384712, 0.028928463604780987, 0.027252674907107245, 0.24315378953222977, 0.1876934808855312, 0.09580512511346376, -0.26963045412787434, 0.039223339556801046, 0.144289460802225] |
710.196 | Three manifolds as geometric branched coverings of the three sphere | One method for obtaining every closed orientable 3-manifold is as branched
covering of the 3-sphere over a link. There is a classical topological result
showing that the minimun possible number of sheets in the covering is three. In
this paper we obtain a geometric version of this result. The interest is given
by the growing importance of geometry in 3-manifolds theory.
| math.GT | one method for obtaining every closed orientable 3manifold is as branched covering of the 3sphere over a link there is a classical topological result showing that the minimun possible number of sheets in the covering is three in this paper we obtain a geometric version of this result the interest is given by the growing importance of geometry in 3manifolds theory | [['one', 'method', 'for', 'obtaining', 'every', 'closed', 'orientable', '3manifold', 'is', 'as', 'branched', 'covering', 'of', 'the', '3sphere', 'over', 'a', 'link', 'there', 'is', 'a', 'classical', 'topological', 'result', 'showing', 'that', 'the', 'minimun', 'possible', 'number', 'of', 'sheets', 'in', 'the', 'covering', 'is', 'three', 'in', 'this', 'paper', 'we', 'obtain', 'a', 'geometric', 'version', 'of', 'this', 'result', 'the', 'interest', 'is', 'given', 'by', 'the', 'growing', 'importance', 'of', 'geometry', 'in', '3manifolds', 'theory']] | [-0.21547638595134752, 0.10231696867735171, -0.09112876317784434, 0.049068037359440916, -0.04590923386458002, -0.10656591691840135, 0.02199416964498089, 0.3188548681252735, -0.2677032982045021, -0.3038277558860232, 0.0959133667543103, -0.24671624713867416, -0.20458912358382625, 0.2512163623602542, -0.15741217162337948, -0.013181936137042329, 0.07989988660775736, 0.05532791645678341, -0.037999674591014436, -0.274835237195013, 0.35438450591516546, -0.06977373260821475, 0.21038608199565625, 0.11610097623025602, 0.10112536935227327, 0.006486481490743453, -0.030628082273741725, 0.10493143521188224, -0.19795872138674298, 0.15486265963218251, 0.2985241488843668, 0.08295633343857575, 0.21854809417435136, -0.34681206044395546, -0.21431941700885532, 0.12940276866076422, 0.1261269317665061, 0.05696698305670355, -0.08307064906312306, -0.19723224090259583, 0.10090013932375634, -0.14510603135329533, -0.1522424955333232, 0.008297737916839904, 0.04243924518375367, -0.028969698295485777, -0.1573761218822882, -0.0028326303743925253, 0.11195096805630649, 0.07605689780817168, -0.026749746309074222, -0.047052568343819164, -0.008578096371388337, 0.1543036433028393, 0.04328216365385862, 0.11411289195148427, 0.0461150834205194, -0.11668699695041677, -0.12138572735253905, 0.3862475097240483, -0.0577695049101212, -0.25257516327146134, 0.13301944870074264, -0.12243401495068044, -0.19848627932980412, 0.1826426411261324, 0.07785023469477892, 0.13544086935609334, -0.07394393738053862, 0.1533818253865618, -0.17147580447957897, 0.10607751648201318, 0.0790905282435725, -0.02095938696083231, 0.20794736158835594, 0.21305796430736293, 0.15025021025117058, 0.18979705656405355, -0.042482385129408266, -0.08238486367083139, -0.3309467248618603, -0.24748027688044993, -0.19193092892022773, 0.12792516900531825, -0.10570973831946488, -0.20680359737245274, 0.4127970303973702, 0.03773665570436412, 0.17896515210388136, 0.09867154327068539, 0.28409250260742963, 0.047689791356564544, 0.03613068590887257, 0.07118460937540551, 0.17161909484716711, 0.1836882085409626, 0.008633853522220963, -0.08931712662709541, 0.013541899621486664, 0.1692105514440136] |
710.1961 | Modeling interaction of relativistic and nonrelativistic winds in binary
system PSR 1259-63/SS2883. I.Hydrodynamical limit | In this paper, we present a detailed hydrodynamical study of the properties
of the flow produced by the collision of a pulsar wind with the surrounding in
a binary system. This work is the first attempt to simulate interaction of the
ultrarelativistic flow (pulsar wind) with the nonrelativistic stellar wind.
Obtained results show that the wind collision could result in the formation of
an "unclosed" (at spatial scales comparable to the binary system size) pulsar
wind termination shock even when the stellar wind ram pressure exceeds
significantly the pulsar wind kinetical pressure. Moreover, the post-shock flow
propagates in a rather narrow region, with very high bulk Lorentz factor
($\gamma\sim100$). This flow acceleration is related to adiabatical losses,
which are purely hydrodynamical effects. Interestingly, in this particular
case, no magnetic field is required for formation of the ultrarelativistic bulk
outflow. The obtained results provide a new interpretation for the orbital
variability of radio, X-ray and gamma-ray signals detected from binary pulsar
system PSR 1259-63/SS2883.
| astro-ph | in this paper we present a detailed hydrodynamical study of the properties of the flow produced by the collision of a pulsar wind with the surrounding in a binary system this work is the first attempt to simulate interaction of the ultrarelativistic flow pulsar wind with the nonrelativistic stellar wind obtained results show that the wind collision could result in the formation of an unclosed at spatial scales comparable to the binary system size pulsar wind termination shock even when the stellar wind ram pressure exceeds significantly the pulsar wind kinetical pressure moreover the postshock flow propagates in a rather narrow region with very high bulk lorentz factor gammasim100 this flow acceleration is related to adiabatical losses which are purely hydrodynamical effects interestingly in this particular case no magnetic field is required for formation of the ultrarelativistic bulk outflow the obtained results provide a new interpretation for the orbital variability of radio xray and gammaray signals detected from binary pulsar system psr 125963ss2883 | [['in', 'this', 'paper', 'we', 'present', 'a', 'detailed', 'hydrodynamical', 'study', 'of', 'the', 'properties', 'of', 'the', 'flow', 'produced', 'by', 'the', 'collision', 'of', 'a', 'pulsar', 'wind', 'with', 'the', 'surrounding', 'in', 'a', 'binary', 'system', 'this', 'work', 'is', 'the', 'first', 'attempt', 'to', 'simulate', 'interaction', 'of', 'the', 'ultrarelativistic', 'flow', 'pulsar', 'wind', 'with', 'the', 'nonrelativistic', 'stellar', 'wind', 'obtained', 'results', 'show', 'that', 'the', 'wind', 'collision', 'could', 'result', 'in', 'the', 'formation', 'of', 'an', 'unclosed', 'at', 'spatial', 'scales', 'comparable', 'to', 'the', 'binary', 'system', 'size', 'pulsar', 'wind', 'termination', 'shock', 'even', 'when', 'the', 'stellar', 'wind', 'ram', 'pressure', 'exceeds', 'significantly', 'the', 'pulsar', 'wind', 'kinetical', 'pressure', 'moreover', 'the', 'postshock', 'flow', 'propagates', 'in', 'a', 'rather', 'narrow', 'region', 'with', 'very', 'high', 'bulk', 'lorentz', 'factor', 'gammasim100', 'this', 'flow', 'acceleration', 'is', 'related', 'to', 'adiabatical', 'losses', 'which', 'are', 'purely', 'hydrodynamical', 'effects', 'interestingly', 'in', 'this', 'particular', 'case', 'no', 'magnetic', 'field', 'is', 'required', 'for', 'formation', 'of', 'the', 'ultrarelativistic', 'bulk', 'outflow', 'the', 'obtained', 'results', 'provide', 'a', 'new', 'interpretation', 'for', 'the', 'orbital', 'variability', 'of', 'radio', 'xray', 'and', 'gammaray', 'signals', 'detected', 'from', 'binary', 'pulsar', 'system', 'psr', '125963ss2883']] | [-0.1511407118631955, 0.15156024622505673, -0.07004424954203438, 0.07904810182134164, -0.10548982644303245, -0.05606984368797322, -0.017642924296727508, 0.3645520971289703, -0.26359924974833954, -0.30448521949026897, 0.040236890757086204, -0.2432451715854847, -0.01561213314377049, 0.24300415901153027, -0.0027208008027204563, -0.003521460118220529, 0.13400530849470646, -0.02453434296651535, -0.0577280845548032, -0.17467969289128682, 0.3093512341371442, 0.1351913440674659, 0.15789989597794618, 0.028245962537269784, 0.09121465575244996, -0.08513217785696482, 0.02153966330882648, 0.010640786749582668, -0.11074613660208986, 0.06981869375691836, 0.16291524835476096, 0.09380474727042598, 0.19636490130478876, -0.4456967568756746, -0.29538619044520287, 0.0023232802896187726, 0.17303311968546198, 0.06131602712967997, -0.06841530179408212, -0.2274968005096401, 0.05000106216573174, -0.2874694578465283, -0.16675157630121948, 0.06121721868374333, 0.02198611875064671, 0.0513514923958559, -0.24200563644701095, 0.11642845916440306, 0.062417633532508864, 0.06923865473985394, -0.13920523049541234, -0.01611529499862158, -0.018760396292005082, 0.04144101192461043, 0.10139480676799897, 0.08474520537915484, 0.16426967007472462, -0.1789306294934289, -0.04712455982909254, 0.4434275993880648, -0.0472029618780065, -0.08354367458070658, 0.24180727790150305, -0.2562138912100229, -0.14314616129947652, 0.18073013460448717, 0.19968610884251525, 0.08609139956591755, -0.14734993940293398, -0.0199134561398807, -0.05644972649003778, 0.18737339853708232, 0.05290613708994496, 0.004196881058463908, 0.2660995871927705, 0.1578620774176128, 0.024065835048554477, 0.17234219020371389, -0.1929574378864458, -0.021303473228461437, -0.2683624045078076, -0.08299504755562322, -0.1452472196828273, 0.08371898515355304, -0.14563353342625604, -0.12967887762008432, 0.35936821823338083, 0.16008981949539844, 0.1530023874738109, -0.010621069727309326, 0.34343790516303563, 0.14881107030343843, -0.010641281401900493, 0.20181890449237935, 0.33687057251237934, 0.1419872521662865, 0.16632097820109276, -0.29129181662429793, 0.11179342608384048, 0.033132673011259724] |
710.1962 | Stanford Matrix Considered Harmful | This note argues about the validity of web-graph data used in the literature.
| cs.IR | this note argues about the validity of webgraph data used in the literature | [['this', 'note', 'argues', 'about', 'the', 'validity', 'of', 'webgraph', 'data', 'used', 'in', 'the', 'literature']] | [-0.09091673444849081, -0.09210960652965766, -0.12947106647949952, 0.1585881339941317, -0.08812405570195271, 0.019354913025521316, 0.09362933297569935, 0.2869215337559581, -0.19309866772248194, -0.31003185304311603, 0.10619008185592695, -0.2443112521790541, -0.08809232869400428, 0.17376615164371637, -0.18071991190887415, 0.06107983752512015, 0.06558683987420338, 0.025436992828662578, -0.012640542708910428, -0.3258110892314177, 0.3404042176329173, 0.06758548262027594, 0.33024276699870825, 0.09066613853121033, 0.010084985907619389, 0.031729740592149586, -0.12627791269467428, -0.017161867652948085, -0.20808289400660074, 0.19406835219034782, 0.3166082094495113, 0.2182924754631061, 0.30850055097387385, -0.4099222845756091, -0.17282459820405796, 0.09889858244703366, 0.15647771381414854, 0.1429010401121699, -0.02068062757070248, -0.2513030366255687, 0.07113516832200381, -0.20208967534395364, -0.21252249066646284, 0.03808794328226493, 0.009567952786500637, 0.004865865796231306, -0.15119882443776497, 0.12462743622465776, 0.12692383365132487, 0.14703485369682312, -0.048510947837852515, -0.12774555829281992, 0.08488966238040191, 0.10768069341205634, 0.15826811440862143, 0.021052121184766293, 0.026850455942062233, -0.05243102953625986, -0.09933529736903998, 0.38338043139531064, -0.03743854709542715, -0.13061499681610328, 0.1701489883976487, -0.12990709093327707, -0.2309071937432656, 0.001523987748301946, 0.10073851453713499, 0.09203028922470716, -0.18489659011650544, 0.0503908721730113, -0.07187208160758018, 0.21171342868071336, 0.0571869953463857, -0.01594011686169184, 0.15384283432593712, 0.16805629768910316, -0.07504071273769324, 0.1309633835648688, -0.03604924807754847, -0.053485140204429626, -0.3550189472734928, -0.10669490587539397, -0.20516178327111098, -0.005335027996737223, -0.04906633095099376, -0.06314727363105004, 0.3504499689890788, 0.3748073142308455, 0.16491182821874434, 0.02715702555500544, 0.2494987054513051, -0.0024350472511007236, 0.04533184258840405, 0.0866557858311213, 0.30041434042728865, 0.11498362270112221, 0.20384748466312885, -0.12103849233916172, 0.14433889452797863, -0.05310665192798926] |
710.1963 | On the scaling behaviour of cross-tie domain wall structures in
patterned NiFe elements | The cross-tie domain wall structure in micrometre and sub-micrometre wide
patterned elements of NiFe, and a thickness range of 30 to 70nm, has been
studied by Lorentz microscopy. Whilst the basic geometry of the cross-tie
repeat units remains unchanged, their density increases when the cross-tie
length is constrained to be smaller than the value associated with a continuous
film. This occurs when element widths are sufficiently narrow or when the wall
is forced to move close to an edge under the action of an applied field. To a
very good approximation the cross-tie density scales with the inverse of the
distance between the main wall and the element edge. The experiments show that
in confined structures, the wall constantly modifies its form and that the need
to generate, and subsequently annihilate, extra vortex/anti-vortex pairs
constitutes an additional source of hysteresis.
| cond-mat.mtrl-sci | the crosstie domain wall structure in micrometre and submicrometre wide patterned elements of nife and a thickness range of 30 to 70nm has been studied by lorentz microscopy whilst the basic geometry of the crosstie repeat units remains unchanged their density increases when the crosstie length is constrained to be smaller than the value associated with a continuous film this occurs when element widths are sufficiently narrow or when the wall is forced to move close to an edge under the action of an applied field to a very good approximation the crosstie density scales with the inverse of the distance between the main wall and the element edge the experiments show that in confined structures the wall constantly modifies its form and that the need to generate and subsequently annihilate extra vortexantivortex pairs constitutes an additional source of hysteresis | [['the', 'crosstie', 'domain', 'wall', 'structure', 'in', 'micrometre', 'and', 'submicrometre', 'wide', 'patterned', 'elements', 'of', 'nife', 'and', 'a', 'thickness', 'range', 'of', '30', 'to', '70nm', 'has', 'been', 'studied', 'by', 'lorentz', 'microscopy', 'whilst', 'the', 'basic', 'geometry', 'of', 'the', 'crosstie', 'repeat', 'units', 'remains', 'unchanged', 'their', 'density', 'increases', 'when', 'the', 'crosstie', 'length', 'is', 'constrained', 'to', 'be', 'smaller', 'than', 'the', 'value', 'associated', 'with', 'a', 'continuous', 'film', 'this', 'occurs', 'when', 'element', 'widths', 'are', 'sufficiently', 'narrow', 'or', 'when', 'the', 'wall', 'is', 'forced', 'to', 'move', 'close', 'to', 'an', 'edge', 'under', 'the', 'action', 'of', 'an', 'applied', 'field', 'to', 'a', 'very', 'good', 'approximation', 'the', 'crosstie', 'density', 'scales', 'with', 'the', 'inverse', 'of', 'the', 'distance', 'between', 'the', 'main', 'wall', 'and', 'the', 'element', 'edge', 'the', 'experiments', 'show', 'that', 'in', 'confined', 'structures', 'the', 'wall', 'constantly', 'modifies', 'its', 'form', 'and', 'that', 'the', 'need', 'to', 'generate', 'and', 'subsequently', 'annihilate', 'extra', 'vortexantivortex', 'pairs', 'constitutes', 'an', 'additional', 'source', 'of', 'hysteresis']] | [-0.12167633412671941, 0.2016354459332693, -0.03818849653471261, 0.003731430745184688, -0.06036589081631973, -0.11326294489803591, 0.03639605266133523, 0.42732429802417754, -0.31555709107280044, -0.29745758712690856, 0.08423254852922192, -0.26349877550798867, -0.055164995312225074, 0.16253130614391662, -0.011452106383096959, 0.01098738042512975, 0.023088680134553993, 0.04309329199272075, -0.06579649128086333, -0.18099976305550497, 0.26547559023435624, 0.048481815358224725, 0.3038097831171139, 0.07064707170065958, 0.06631151598412544, -0.02942409348574334, 0.0440824851160869, 0.062266175711660515, -0.12022730071548722, 0.09352211601633047, 0.16992945376384472, -0.009543077073924775, 0.23959427159445892, -0.46744276804051227, -0.19574688475030208, 0.05371541401171791, 0.15881475245114415, 0.08935539747783748, -0.033730569299742844, -0.2534353384881147, 0.13187036040139252, -0.11363074848860769, -0.15194580205050962, 0.015605390151696546, 0.06483516525560325, 0.009110123417589681, -0.24824477234797088, 0.07263400525220537, 0.045971092274079896, 0.03944488661696336, -0.061942489645610166, -0.0908808569789731, -0.056991715326772205, 0.1343482066143354, 0.07686735886215632, 0.0755922888230998, 0.18252552992198617, -0.15878270726325355, -0.04616813679209112, 0.3777593413883421, -0.05352826954882143, -0.1805123574566096, 0.19680796126818417, -0.16331757031979838, -0.019510833165051217, 0.19241405933031014, 0.12443788372911513, 0.10477458528309529, -0.09475542893165506, 0.0868420646438608, -0.03401587205880787, 0.21633563687958354, 0.11108485954048644, -0.0039360403815018275, 0.22145912305984114, 0.17188669160573877, 0.07393982648417087, 0.15609737381788102, -0.1311688103850299, -0.09260875265213794, -0.26471974063481735, -0.13516975378131194, -0.17101787835625665, 0.02134527074439185, -0.0773982736526315, -0.19641698986524717, 0.3573292773000763, 0.10713980712628524, 0.24266671536523582, -0.01234452250812735, 0.26126955093682874, 0.09598160444625786, 0.13339033352843085, 0.06547745033167303, 0.23357054424039753, 0.14751440023953494, 0.0725166625775663, -0.2420274094994446, 0.052031204689826284, 0.008371684256105384] |
710.1964 | CDF Searches for New Physics with Photons | We present results of searches for new physics in final states with photons
at CDF in approximately 1 fb-1 of ppbar collisions at 1.96 TeV. We give an
overview of the data-driven photon background estimation techniques used for
the analyses. We report on a search for diphoton peaks and signature-based
searches for diphoton+X, lepton+photon+X (X = electron, muon, missing
transverse energy, photon) and ttbar+photon.
| hep-ex | we present results of searches for new physics in final states with photons at cdf in approximately 1 fb1 of ppbar collisions at 196 tev we give an overview of the datadriven photon background estimation techniques used for the analyses we report on a search for diphoton peaks and signaturebased searches for diphotonx leptonphotonx x electron muon missing transverse energy photon and ttbarphoton | [['we', 'present', 'results', 'of', 'searches', 'for', 'new', 'physics', 'in', 'final', 'states', 'with', 'photons', 'at', 'cdf', 'in', 'approximately', '1', 'fb1', 'of', 'ppbar', 'collisions', 'at', '196', 'tev', 'we', 'give', 'an', 'overview', 'of', 'the', 'datadriven', 'photon', 'background', 'estimation', 'techniques', 'used', 'for', 'the', 'analyses', 'we', 'report', 'on', 'a', 'search', 'for', 'diphoton', 'peaks', 'and', 'signaturebased', 'searches', 'for', 'diphotonx', 'leptonphotonx', 'x', 'electron', 'muon', 'missing', 'transverse', 'energy', 'photon', 'and', 'ttbarphoton']] | [-0.03444199804235708, 0.18035368024601534, -0.09031265261812044, 0.15753124938842641, -0.02816403635823336, -0.12859217192763922, 0.025760538719563943, 0.3658318811508476, -0.1332043494846, -0.3905532013502766, -0.010391085068924262, -0.3941544990864445, 0.0933214616274736, 0.1957672743668749, 0.07493301592461887, 0.12006450879586036, 0.1657955869421607, -0.045281066055424875, -0.06071131142070059, -0.21340818880278556, 0.24552670498302237, 0.10514489944535689, 0.2360254083378393, 0.12657191888352887, 0.13819159492544952, 0.1153110416117506, -0.09690694782699717, -0.13856995233991107, -0.17874523351488056, 0.09237903966444361, 0.3049332065599375, 0.11564844036780175, 0.12812608248386226, -0.33659677405948524, -0.04734575280492179, 0.15975379965222272, 0.18812802376714152, 0.09449648167021939, -0.15499193133732883, -0.33411947626345717, 0.1276445154741895, -0.2138402780945428, -0.08487405012682324, -0.02811226313246689, -0.025671798766392175, -0.0715362175718927, -0.32392239216409746, 0.11646440187774476, -0.054800179374755405, 0.11269878415909947, -0.036419673372426485, -0.23473414772602377, 0.030196476101753165, -0.09226353183297105, 0.06646893199411083, 0.049952091328555444, 0.1783226534159335, -0.1883907663334375, -0.32108745885799167, 0.25018159840561327, -0.06589217816830659, -0.12944913068480912, 0.2089273540883279, -0.18592556799594007, -0.1727582257637968, 0.19514260868557165, 0.3255041872655026, 0.06711913151361171, -0.20918439205003078, 0.07872182327574577, 0.007922886931871782, 0.20799543867345716, 0.04399341128033693, 0.10580337726602666, 0.21841851499725562, 0.2330788446315488, 0.06646273903487647, 0.07824145099071816, -0.23254894490399566, 0.06681951630066653, -0.4840756151519838, -0.11581204191888453, -0.1143643478099562, 0.057880175651096905, 0.0017810566050237137, -0.05081366448373091, 0.41837009610455544, 0.13885889176401447, 0.27385397501228775, -0.02194203028730193, 0.29600519937707387, 0.11768372446970372, -0.010689999030322814, 0.09506360574274278, 0.3070476259673625, 0.08080674555213725, 0.2045005323350063, -0.15794097212120342, -0.02774950807730927, 0.028051648972189574] |
710.1965 | Sestieri of Venice | We have investigated space syntax of Venice by means of random walks. Random
walks being defined on an undirected graph establish the Euclidean space in
which distances and angles between nodes acquire the clear statistical
interpretation. The properties of nodes with respect to random walks allow
partitioning the city canal network into disjoint divisions which may be
identified with the traditional divisions of the city (sestieri).
| physics.soc-ph physics.data-an | we have investigated space syntax of venice by means of random walks random walks being defined on an undirected graph establish the euclidean space in which distances and angles between nodes acquire the clear statistical interpretation the properties of nodes with respect to random walks allow partitioning the city canal network into disjoint divisions which may be identified with the traditional divisions of the city sestieri | [['we', 'have', 'investigated', 'space', 'syntax', 'of', 'venice', 'by', 'means', 'of', 'random', 'walks', 'random', 'walks', 'being', 'defined', 'on', 'an', 'undirected', 'graph', 'establish', 'the', 'euclidean', 'space', 'in', 'which', 'distances', 'and', 'angles', 'between', 'nodes', 'acquire', 'the', 'clear', 'statistical', 'interpretation', 'the', 'properties', 'of', 'nodes', 'with', 'respect', 'to', 'random', 'walks', 'allow', 'partitioning', 'the', 'city', 'canal', 'network', 'into', 'disjoint', 'divisions', 'which', 'may', 'be', 'identified', 'with', 'the', 'traditional', 'divisions', 'of', 'the', 'city', 'sestieri']] | [-0.13584770087304954, 0.16438310306290918, -0.09144940972328186, 0.04642098154156254, -0.07836689105114111, -0.13851737136451098, 0.11161570023888578, 0.41930290059401437, -0.27958543199213004, -0.28434821473022637, 0.06571770101033438, -0.26332606810789844, -0.14271366245184952, 0.10192485239643317, -0.09373255459448467, 0.016788620243851957, 0.06536709521538936, 0.0453527096264924, -0.00021910102178271, -0.26865981255093807, 0.3033902537364226, 0.018417927766075502, 0.26971980531055195, -0.013329860037909104, 0.09159829987642856, 0.036876454634162094, -0.07384101889687232, 0.08022745848149777, -0.13365698227515588, 0.1221276195289997, 0.26051574404566336, 0.1450721339465907, 0.26439144697326883, -0.4589424707568609, -0.21039567086845637, 0.1824533241872604, 0.1436306647096689, 0.037268282369209024, 0.057410221982102556, -0.381668227739059, 0.03933693480033141, -0.09511399935357846, -0.08961048973007844, -0.0011246526183990332, 0.017978062108159065, 0.0562941358747104, -0.19231227739499165, -0.0037917596001464586, 0.027184941293671726, 0.10909922380143633, 0.038259424570088206, -0.13439336906258875, -0.0564177747672567, 0.19508853695140435, -0.02363401606070021, 0.01771686962590768, 0.1005592469054346, -0.027409832638043623, -0.201330633692515, 0.3975165198628719, 0.054297645415107794, -0.23149215023821362, 0.16627434896161922, -0.14266368030557014, -0.11766011803769148, 0.07888096554491382, 0.222578809181085, 0.040107861877633974, -0.14658887806133583, 0.0670535511113345, -0.07421418785189207, 0.06286004388597435, 0.10959821271781738, 0.03919780060935479, 0.1979950006907949, 0.1498630703928379, 0.13484325516037643, 0.14102539882744447, -0.0572129345104958, -0.16761173534278687, -0.23531016222058007, -0.13255097963489018, -0.24997377877052013, 0.025631983277316278, -0.22968798226547033, -0.2433810799454267, 0.4044751984712023, 0.10204101394897756, 0.23166143295999903, 0.13521778596780049, 0.21468027600875267, 0.05004251140814561, 0.08183695797163706, 0.13606944237835705, 0.10064100789336058, 0.12674562913508944, 0.07205955096019002, -0.08993007898187408, 0.12766418971766072, 0.1183298959969901] |
710.1966 | Hadron Spectrum in a Two-Colour Baryon-Rich Medium | The hadron spectrum of SU(2) lattice gauge theory with two flavours of Wilson
quark is studied on an 8^3x16 lattice using all-to-all propagators, with
particular emphasis on the dependence on quark chemical potential mu. As mu is
increased from zero the diquark states with non-zero baryon number B respond as
expected, while states with B=0 remain unaffected until the onset of non-zero
baryon density at mu=m_pi/2. Post onset the pi-meson mass increases in
accordance with chiral perturbation theory while the rho becomes lighter. In
the diquark sector a Goldstone state associated with a superfluid ground state
can be identified. A further consequence of superfluidity is an approximate
degeneracy between mesons and baryons with the same spacetime and isospin
quantum numbers. Finally we find tentative evidence for the binding of states
with kaon quantum numbers within the baryonic medium.
| hep-lat hep-ph nucl-th | the hadron spectrum of su2 lattice gauge theory with two flavours of wilson quark is studied on an 83x16 lattice using alltoall propagators with particular emphasis on the dependence on quark chemical potential mu as mu is increased from zero the diquark states with nonzero baryon number b respond as expected while states with b0 remain unaffected until the onset of nonzero baryon density at mum_pi2 post onset the pimeson mass increases in accordance with chiral perturbation theory while the rho becomes lighter in the diquark sector a goldstone state associated with a superfluid ground state can be identified a further consequence of superfluidity is an approximate degeneracy between mesons and baryons with the same spacetime and isospin quantum numbers finally we find tentative evidence for the binding of states with kaon quantum numbers within the baryonic medium | [['the', 'hadron', 'spectrum', 'of', 'su2', 'lattice', 'gauge', 'theory', 'with', 'two', 'flavours', 'of', 'wilson', 'quark', 'is', 'studied', 'on', 'an', '83x16', 'lattice', 'using', 'alltoall', 'propagators', 'with', 'particular', 'emphasis', 'on', 'the', 'dependence', 'on', 'quark', 'chemical', 'potential', 'mu', 'as', 'mu', 'is', 'increased', 'from', 'zero', 'the', 'diquark', 'states', 'with', 'nonzero', 'baryon', 'number', 'b', 'respond', 'as', 'expected', 'while', 'states', 'with', 'b0', 'remain', 'unaffected', 'until', 'the', 'onset', 'of', 'nonzero', 'baryon', 'density', 'at', 'mum_pi2', 'post', 'onset', 'the', 'pimeson', 'mass', 'increases', 'in', 'accordance', 'with', 'chiral', 'perturbation', 'theory', 'while', 'the', 'rho', 'becomes', 'lighter', 'in', 'the', 'diquark', 'sector', 'a', 'goldstone', 'state', 'associated', 'with', 'a', 'superfluid', 'ground', 'state', 'can', 'be', 'identified', 'a', 'further', 'consequence', 'of', 'superfluidity', 'is', 'an', 'approximate', 'degeneracy', 'between', 'mesons', 'and', 'baryons', 'with', 'the', 'same', 'spacetime', 'and', 'isospin', 'quantum', 'numbers', 'finally', 'we', 'find', 'tentative', 'evidence', 'for', 'the', 'binding', 'of', 'states', 'with', 'kaon', 'quantum', 'numbers', 'within', 'the', 'baryonic', 'medium']] | [-0.12993083052663473, 0.35065207396056947, -0.07463774749207018, 0.0756153685446951, -0.0303217544471913, -0.13740679027893357, 0.10911687385855093, 0.29270868407168094, -0.14884062668131867, -0.24367345769610935, -0.01088025979527755, -0.3338304056656839, -0.027690857410070616, 0.04324454500129188, 0.08582408752387566, 0.06643965836600775, 0.02473767277322383, 0.10345640194935411, -0.07636356675303983, -0.20410467890247594, 0.352565769561614, -0.016997185727771726, 0.22720779451358059, 0.13851822612222528, 0.01889097011464573, -0.01315823559017077, 0.0080153743165416, -0.022521622635315368, -0.0942285777932971, -0.01705119242835586, 0.17843509827193255, 0.014917394102136366, 0.17480565467509476, -0.3851440653067259, -0.17915815172757762, 0.12960330654873792, 0.17348465230315924, 0.16767181506054135, -0.053984610099994654, -0.31790184542999, 0.07664617852148103, -0.20704015359336878, -0.20518495991187047, -0.11097818594018038, 0.02085652476326175, -0.05120204607395278, -0.28654630388044855, 0.150474474051573, -0.08610633045883619, 0.07790102980976557, -0.051002319992254797, -0.20966232666426277, -0.11045060973328939, 0.040588006159684956, 0.10643853750385779, 0.11002194942111136, 0.1315689749954554, -0.20897367782890797, -0.10311338463526247, 0.4241561874896832, -0.09295926735452614, -0.1585629340805059, 0.13614027267389925, -0.15883970464899266, -0.12487252495514167, 0.1040397844844847, 0.12510793276783758, 0.0337935855279058, -0.08525844733400718, 0.11255880303079276, -0.050620609871451706, 0.19944064151138802, 0.08684746645914432, 0.09775774388227366, 0.28209761006716827, 0.15387935417425566, 0.03405788757695551, 0.08602787014759777, -0.033051329371298455, -0.1395737377478041, -0.3599890153175288, -0.09250009004672459, -0.1716301489084361, 0.06674600926645943, -0.08589466262492351, -0.1264048752674058, 0.35617206746671537, 0.05444237209489419, 0.2534728169808314, 0.01651034790199984, 0.26039469009265304, 0.10478410252750626, 0.04894630236926754, 0.0811091244796862, 0.24020053898358215, 0.26568157041282225, 0.125823772593952, -0.3331076578716374, -0.051229071494083116, 0.07022465580401357] |
710.1967 | Synchronization and bistability of qubit coupled to a driven dissipative
oscillator | We study numerically the behavior of qubit coupled to a quantum dissipative
driven oscillator (resonator). Above a critical coupling strength the qubit
rotations become synchronized with the oscillator phase. In the synchronized
regime, at certain parameters, the qubit exhibits tunneling between two
orientations with a macroscopic change of number of photons in the resonator.
The life times in these metastable states can be enormously large. The
synchronization leads to a drastic change of qubit radiation spectrum with
appearance of narrow lines corresponding to recently observed single
artificial-atom lasing [O. Astafiev {\it et al.} Nature {\bf 449}, 588 (2007)].
| cond-mat.supr-con cond-mat.other nlin.CD quant-ph | we study numerically the behavior of qubit coupled to a quantum dissipative driven oscillator resonator above a critical coupling strength the qubit rotations become synchronized with the oscillator phase in the synchronized regime at certain parameters the qubit exhibits tunneling between two orientations with a macroscopic change of number of photons in the resonator the life times in these metastable states can be enormously large the synchronization leads to a drastic change of qubit radiation spectrum with appearance of narrow lines corresponding to recently observed single artificialatom lasing o astafiev it et al nature bf 449 588 2007 | [['we', 'study', 'numerically', 'the', 'behavior', 'of', 'qubit', 'coupled', 'to', 'a', 'quantum', 'dissipative', 'driven', 'oscillator', 'resonator', 'above', 'a', 'critical', 'coupling', 'strength', 'the', 'qubit', 'rotations', 'become', 'synchronized', 'with', 'the', 'oscillator', 'phase', 'in', 'the', 'synchronized', 'regime', 'at', 'certain', 'parameters', 'the', 'qubit', 'exhibits', 'tunneling', 'between', 'two', 'orientations', 'with', 'a', 'macroscopic', 'change', 'of', 'number', 'of', 'photons', 'in', 'the', 'resonator', 'the', 'life', 'times', 'in', 'these', 'metastable', 'states', 'can', 'be', 'enormously', 'large', 'the', 'synchronization', 'leads', 'to', 'a', 'drastic', 'change', 'of', 'qubit', 'radiation', 'spectrum', 'with', 'appearance', 'of', 'narrow', 'lines', 'corresponding', 'to', 'recently', 'observed', 'single', 'artificialatom', 'lasing', 'o', 'astafiev', 'it', 'et', 'al', 'nature', 'bf', '449', '588', '2007']] | [-0.20037419782602228, 0.24596518635977796, 0.005645090240207651, -0.06123712653303907, 0.0030107640729208165, -0.20480108187196797, 0.08627625920901967, 0.37267867562089424, -0.21186919841178073, -0.3318992703376959, -0.02155909616825132, -0.2703720039280597, -0.10670837770643023, 0.19033510140919438, -0.033415388948924374, 0.030870514795727406, 0.04947804607460663, -0.0030700530527004353, -0.03658752055101407, -0.1832098967327814, 0.24205872152621546, 0.035343734395913394, 0.318999295316947, -0.03481105164246401, 0.08308106103989606, -0.048604752562823705, 0.1119378333099424, -0.02994701056741178, -0.10045803221146343, 0.02449611495042821, 0.23675784826627932, 0.009299986601793838, 0.23329470209622136, -0.4187436773693965, -0.18125848054720942, 0.1108831701761422, 0.13175172275441582, 0.177098955095668, 0.02384893385169562, -0.34522921044845134, -0.025967470603063703, -0.15376926184399053, -0.11573190541821532, -0.043878451147368956, 0.06963101646397263, -0.006159513136177945, -0.2371869269760888, 0.08480666279016684, 0.04700623305204014, 0.04954736112752774, -0.016454605482673895, 0.03373631359621262, -0.053240909648593515, 0.07315440119130774, -0.030795998819182085, 0.011397969394844646, 0.1921721927380228, -0.0884790822461999, -0.11044897308359698, 0.3074328941487086, -0.08720027794515772, -0.09827853972092271, 0.20486255231662653, -0.1734682986085924, -0.0657293309244172, 0.18623420183818476, 0.12677679300153008, 0.07058589714870322, -0.09755964640256327, 0.048584679597600676, 0.02163209576004495, 0.22553289755887818, 0.10979786368989153, 0.11067570625406613, 0.22188405464597358, 0.14371509161234522, 0.027065970207331702, 0.16094485862898486, -0.1102771018850035, -0.13983156451346682, -0.26905508495595615, -0.10181473311968148, -0.18316096807150947, 0.12398111201036954, -0.06942210464815919, -0.17078718140934748, 0.4552099939901382, 0.10709494260178569, 0.2230757477809675, -0.07550265508325538, 0.2181079026001195, 0.1798559357994236, 0.040385393445224814, 0.051915085525251925, 0.3341663322765574, 0.20620287621083358, 0.13102365679029995, -0.3370759057191511, -0.005398142321306902, -0.013228891829688413] |
710.1968 | The Landau gauge gluon and ghost propagators in 4D SU(3) gluodynamics in
large lattice volumes | We present recent results of the Landau gauge gluon and ghost propagators in
SU(3) pure gauge theory at Wilson \beta=5.7 for lattice sizes up to 80^4
corresponding to physical volumes up to (13.2 fm)^4. In particular, we focus on
finite-volume and Gribov copy effects. We employ a gauge fixing method that
combines a simulated annealing algorithm with finalizing overrelaxation. We
find the gluon propagator for the largest volumes and at q^2 ~ 0.01 GeV^2 to
become flat. Although not excluded by our data, there is still no clear
indication of a gluon propagator tending towards zero in the zero-momentum
limit. New data for the ghost propagator are reported, too.
| hep-lat | we present recent results of the landau gauge gluon and ghost propagators in su3 pure gauge theory at wilson beta57 for lattice sizes up to 804 corresponding to physical volumes up to 132 fm4 in particular we focus on finitevolume and gribov copy effects we employ a gauge fixing method that combines a simulated annealing algorithm with finalizing overrelaxation we find the gluon propagator for the largest volumes and at q2 001 gev2 to become flat although not excluded by our data there is still no clear indication of a gluon propagator tending towards zero in the zeromomentum limit new data for the ghost propagator are reported too | [['we', 'present', 'recent', 'results', 'of', 'the', 'landau', 'gauge', 'gluon', 'and', 'ghost', 'propagators', 'in', 'su3', 'pure', 'gauge', 'theory', 'at', 'wilson', 'beta57', 'for', 'lattice', 'sizes', 'up', 'to', '804', 'corresponding', 'to', 'physical', 'volumes', 'up', 'to', '132', 'fm4', 'in', 'particular', 'we', 'focus', 'on', 'finitevolume', 'and', 'gribov', 'copy', 'effects', 'we', 'employ', 'a', 'gauge', 'fixing', 'method', 'that', 'combines', 'a', 'simulated', 'annealing', 'algorithm', 'with', 'finalizing', 'overrelaxation', 'we', 'find', 'the', 'gluon', 'propagator', 'for', 'the', 'largest', 'volumes', 'and', 'at', 'q2', '001', 'gev2', 'to', 'become', 'flat', 'although', 'not', 'excluded', 'by', 'our', 'data', 'there', 'is', 'still', 'no', 'clear', 'indication', 'of', 'a', 'gluon', 'propagator', 'tending', 'towards', 'zero', 'in', 'the', 'zeromomentum', 'limit', 'new', 'data', 'for', 'the', 'ghost', 'propagator', 'are', 'reported', 'too']] | [-0.07366620077906798, 0.22699194335857303, -0.14265033694122126, 0.1179362886371867, -0.05369400017015222, -0.09613542172074732, 0.10645415085579131, 0.42350639275240676, -0.09827891544679275, -0.2610878804299756, 0.04719096172225869, -0.28961713712110565, -0.061025978436831524, 0.11107438185286743, -0.017078457830781123, 0.06972655514645912, 0.07731977415797128, 0.006937638873717299, -0.06512572448830017, -0.2646704697722776, 0.310771983065125, 0.0017046279821510393, 0.25267743746129173, 0.13801432341440684, 0.12746508984128013, 0.022672807025999105, -0.05556765216816631, -0.021672571608279314, -0.1489595944535217, 0.007864920722635428, 0.20398892639894728, 0.0016247929306700826, 0.19009654234266943, -0.34112128361852634, -0.13741806421118477, 0.07133721585678696, 0.18326163688174416, 0.17439349867938156, -0.031925764073902324, -0.2498507138101289, 0.09120390959153021, -0.15007883255128507, -0.1682854552706919, -0.1252556053093738, -0.038791629020124674, -0.14653638246710654, -0.2942929379426426, 0.11912901018082199, -0.07536460153534319, 0.06355728603968466, -0.013491440297069925, -0.21022137883550454, -0.05278610427113664, 0.05028724910570653, 0.09945659964621344, 0.13878857342233122, 0.0746859493831801, -0.17939018294499773, -0.12151113780715538, 0.39560708832168195, -0.048893820589270304, -0.18445287762140786, 0.16234132179697217, -0.1938205530901474, -0.18770959808197976, 0.18270274223585956, 0.11801387774391549, 0.07971534283327249, -0.14088281199629246, 0.1508499062733285, -0.020755307408291155, 0.1821991172619164, 0.13279911920135082, 0.031305895673102456, 0.16563992932680305, 0.1101648288399533, 0.012987445789837727, 0.11792007983118917, -0.04509586290697808, -0.12060366411417446, -0.36003181516813737, -0.0618147351520343, -0.14910344063106026, 0.08504825239988686, -0.13040658427551668, -0.1782848095021176, 0.29707434788967174, 0.17660269947049934, 0.1776238236666864, 0.08016637106926215, 0.2718799505641477, 0.09820673225934755, 0.1408604561239136, 0.08975560175410162, 0.21659926481165545, 0.14237118773033014, 0.1268163047110041, -0.26918226278266283, -0.14286743024152843, 0.0875136088019375] |
710.1969 | Pfaffian Systems from Twistor Fibrations | Canonical twistor fibrations lead to Pfaffian systems by means of their
superhorizontal distribution. The aim of this note is to identify explicitly
the Pfaffian systems of five or less variables that arise in this way in terms
of the classification given by A.Awane and M.Goze.
| math.DG | canonical twistor fibrations lead to pfaffian systems by means of their superhorizontal distribution the aim of this note is to identify explicitly the pfaffian systems of five or less variables that arise in this way in terms of the classification given by aawane and mgoze | [['canonical', 'twistor', 'fibrations', 'lead', 'to', 'pfaffian', 'systems', 'by', 'means', 'of', 'their', 'superhorizontal', 'distribution', 'the', 'aim', 'of', 'this', 'note', 'is', 'to', 'identify', 'explicitly', 'the', 'pfaffian', 'systems', 'of', 'five', 'or', 'less', 'variables', 'that', 'arise', 'in', 'this', 'way', 'in', 'terms', 'of', 'the', 'classification', 'given', 'by', 'aawane', 'and', 'mgoze']] | [-0.16082063453545425, 0.07526046241265397, -0.07873242192490157, 0.09717544582726564, -0.030421136228670907, -0.06471318470010924, 0.03071791920161178, 0.3143100828625435, -0.2696053601454857, -0.3315835508496262, 0.07843687997719404, -0.23260282733759216, -0.22097392849689132, 0.16103025477617805, -0.11671128440215144, 0.015271511145455892, 0.024269088539619777, 0.024660707603013792, -0.13816267529740756, -0.32161825477297223, 0.43652459409434435, 0.0065575206089158395, 0.20787352109111326, -0.009435873294552399, 0.07277287750743157, 0.004548011653580118, -0.04175303438894971, -0.021432719377497602, -0.06541934118387532, 0.16030745073708944, 0.29979450048792156, 0.11258643480061098, 0.1770961519850548, -0.3934488880859558, -0.14860496031077103, 0.16408878547507663, 0.16699861096174912, 0.08129790553086719, 0.043033167254179716, -0.25401225941645544, 0.07079219355127439, -0.18701991191956885, -0.1715074186321608, -0.1368484872360822, 0.01252577098108135, 0.029104355874276438, -0.14993079732237166, 0.08071056110134651, 0.1129166740371824, 0.08644047550597163, -0.014273022398959065, -0.10077934437106516, -0.04712441682728917, 0.09835416362837476, 0.050286313253563156, 0.04475618960595755, 0.060885496697453564, -0.18241036212786513, -0.13302280436686867, 0.4046698719003173, -0.006353704995194147, -0.2802403841254323, 0.16983416015932032, -0.11131257295261981, -0.15499021398813226, 0.14726584837880247, 0.1264749885493413, 0.14903984563750064, -0.18696820105664258, 0.05878262771807914, -0.02637061990017808, 0.0940230973281486, 0.07618149777137956, 0.025120148446064357, 0.22241283793998665, 0.09062234691322543, 0.043646277134241754, 0.16057843338091707, -0.02964236823365439, -0.09070336344370315, -0.3157188993727052, -0.19041689985626659, -0.1481255231381849, 0.09151501344993364, -0.05596345238256279, -0.1601732299164977, 0.4181409677447275, 0.1410078775397567, 0.2230267731776071, 0.050166662154329376, 0.2107099571460208, 0.13351107018371655, 0.03962936459737288, 0.01523205107294543, 0.18605693184965572, 0.14861920918879468, 0.04948928597015004, -0.17109968832715652, 0.03619848595672222, 0.09544768983628167] |
710.197 | Zeta functions of 3-dimensional p-adic Lie algebras | We give an explicit formula for the subalgebra zeta function of a general
3-dimensional Lie algebra over the p-adic integers $\mathbb{Z}_p$. To this end,
we associate to such a Lie algebra a ternary quadratic form over
$\mathbb{Z}_p$. The formula for the zeta function is given in terms of Igusa's
local zeta function associated to this form.
| math.GR | we give an explicit formula for the subalgebra zeta function of a general 3dimensional lie algebra over the padic integers mathbbz_p to this end we associate to such a lie algebra a ternary quadratic form over mathbbz_p the formula for the zeta function is given in terms of igusas local zeta function associated to this form | [['we', 'give', 'an', 'explicit', 'formula', 'for', 'the', 'subalgebra', 'zeta', 'function', 'of', 'a', 'general', '3dimensional', 'lie', 'algebra', 'over', 'the', 'padic', 'integers', 'mathbbz_p', 'to', 'this', 'end', 'we', 'associate', 'to', 'such', 'a', 'lie', 'algebra', 'a', 'ternary', 'quadratic', 'form', 'over', 'mathbbz_p', 'the', 'formula', 'for', 'the', 'zeta', 'function', 'is', 'given', 'in', 'terms', 'of', 'igusas', 'local', 'zeta', 'function', 'associated', 'to', 'this', 'form']] | [-0.25953658144654973, -0.015029470442251685, -0.15673867115817433, 0.08448784098852359, -0.1693993255362979, -0.08176453927964238, 0.007892190961034171, 0.29771802824689075, -0.3602188494322555, -0.1859740228163511, 0.020551508481730707, -0.18367049760750628, -0.19247266241083189, 0.22866599085474654, -0.06659013918501192, -0.021009664691518992, -0.04005520652780043, 0.17990879654618247, -0.18471556872827932, -0.2943478437539722, 0.3971729488777263, -0.03296762566813933, 0.10831613812063422, 0.02600517962127924, 0.12815365205668577, 0.05126242199912667, 0.04773443984699303, -0.10233533831446298, -0.19914039106307818, 0.09472061495762318, 0.3305586476012, 0.05475630019126194, 0.2515801026352814, -0.3467061840596476, -0.10193603210583595, 0.23947220980854972, 0.17066686988774954, -0.03409571007692388, -0.0086750345778585, -0.1919860672039379, 0.11011828717684173, -0.2726056652276644, -0.16569389871853804, -0.04807260592601129, 0.10164168057963252, 0.006843368256730693, -0.33071250438557137, 0.07005263475834259, 0.010588527657091618, 0.1700937726667949, -0.14463220470185792, -0.1419590566136841, 0.017340722094689096, 0.03087858429145334, -0.0385639397302709, 0.12452840801727559, 0.08306460257153958, -0.10219861763263387, -0.08808057286244418, 0.31138804528330055, -0.049275538002673, -0.2442661219517634, 0.0714649857587314, -0.2113035331130959, -0.1897995736716049, 0.09762643422332726, 0.09162707156169095, 0.19220016753700161, -0.049392174064580886, 0.19505262551163988, -0.1564739512811814, 0.019003988676039234, 0.10488757953446891, -0.022232646308631438, 0.18647413364877657, 0.005608341839563634, 0.013319023909779, 0.19998018656458175, 0.08519438444948589, -0.019468102803719894, -0.40073593093880583, -0.280397520383953, -0.14660068741068244, 0.16637432630730992, -0.1296939484808328, -0.2497426487638482, 0.4256959928981295, 0.0826266781160874, 0.2204163639939257, 0.19592986711567, 0.18825061067140528, 0.23621416434512607, 0.1574384346271732, -0.0029283186054921578, -0.009417768630165873, 0.22107187880984774, -0.04556452796012828, -0.12322237587899768, -0.03246990208780127, 0.2453324076154136] |
710.1971 | Hydrogen on graphene: Electronic structure, total energy, structural
distortions, and magnetism from first-principles calculations | Density functional calculations of electronic structure, total energy,
structural distortions, and magnetism for hydrogenated single-layer, bilayer,
and multi-layer graphene are performed. It is found that hydrogen-induced
magnetism can survives only at very low concentrations of hydrogen (single-atom
regime) whereas hydrogen pairs with optimized structure are usually
nonmagnetic. Chemisorption energy as a function of hydrogen concentration is
calculated, as well as energy barriers for hydrogen binding and release. The
results confirm that graphene can be perspective material for hydrogen storage.
Difference between hydrogenation of graphene, nanotubes, and bulk graphite is
discussed.
| cond-mat.mtrl-sci | density functional calculations of electronic structure total energy structural distortions and magnetism for hydrogenated singlelayer bilayer and multilayer graphene are performed it is found that hydrogeninduced magnetism can survives only at very low concentrations of hydrogen singleatom regime whereas hydrogen pairs with optimized structure are usually nonmagnetic chemisorption energy as a function of hydrogen concentration is calculated as well as energy barriers for hydrogen binding and release the results confirm that graphene can be perspective material for hydrogen storage difference between hydrogenation of graphene nanotubes and bulk graphite is discussed | [['density', 'functional', 'calculations', 'of', 'electronic', 'structure', 'total', 'energy', 'structural', 'distortions', 'and', 'magnetism', 'for', 'hydrogenated', 'singlelayer', 'bilayer', 'and', 'multilayer', 'graphene', 'are', 'performed', 'it', 'is', 'found', 'that', 'hydrogeninduced', 'magnetism', 'can', 'survives', 'only', 'at', 'very', 'low', 'concentrations', 'of', 'hydrogen', 'singleatom', 'regime', 'whereas', 'hydrogen', 'pairs', 'with', 'optimized', 'structure', 'are', 'usually', 'nonmagnetic', 'chemisorption', 'energy', 'as', 'a', 'function', 'of', 'hydrogen', 'concentration', 'is', 'calculated', 'as', 'well', 'as', 'energy', 'barriers', 'for', 'hydrogen', 'binding', 'and', 'release', 'the', 'results', 'confirm', 'that', 'graphene', 'can', 'be', 'perspective', 'material', 'for', 'hydrogen', 'storage', 'difference', 'between', 'hydrogenation', 'of', 'graphene', 'nanotubes', 'and', 'bulk', 'graphite', 'is', 'discussed']] | [-0.10937108943601036, 0.17099186074919998, 0.03497547757190963, 0.05977595021508427, 0.05464651705438478, -0.15623323722328578, 0.09847923800763157, 0.4822082751741012, -0.2803679702286091, -0.35273444113425084, -0.03295887682535168, -0.33120546720715033, -0.12791134983482252, 0.13186286550480872, 0.08820489842134217, -0.004920177394524217, 0.06445510576142827, -0.10765290369486644, -0.0789563893702709, -0.19675516945620378, 0.23392024487774404, 0.13601508886656827, 0.3205802110541198, 0.17346437788154517, -0.017386802182429367, -0.04641107314835406, 0.14372502476390864, 0.039214886849125226, -0.14546900825759318, 0.09066403637019296, 0.2912522483203146, -0.13144251056429412, 0.20167233816141056, -0.5026464365836647, -0.26250439311067264, -0.03796725638417734, 0.0855342672051241, 0.18825591730160846, -0.11633938164450228, -0.1861947087984946, 0.06581818100271954, -0.1293693509728958, -0.08846427947282791, -0.10955736326157219, 0.02019802918140259, 0.05526810891719328, -0.21799435675170065, 0.1465849522087309, -0.036862691009365435, 0.047172936717510716, -0.16849753491373526, -0.1953071247579323, -0.22689007447980758, 0.04237710633315146, 0.013385584973730148, 0.009030583273205493, 0.3116707941517234, -0.08266434320248664, -0.01153649544964234, 0.44415725806934964, -0.05692446045577526, -0.05768682421702478, 0.17370368804161748, -0.13331578871131772, -0.10500488378521469, 0.1820082431452142, 0.04720373614691198, 0.07059861870689524, -0.16787513111743868, 0.06544435735203377, 0.007140421954035345, 0.20016069763288316, 0.11963895968058043, 0.1282371849856443, 0.23481216407380998, 0.23113134435067575, 0.047844791465063784, 0.10857721672833173, -0.12706968849524855, -0.0038066783143828314, -0.16991988917191822, -0.2253988802019093, -0.24436675143531628, 0.09193220448990663, -0.0370218368292424, -0.2094869692499439, 0.31263972233153053, 0.017870008138318856, 0.14945849867330657, -0.055788502086781794, 0.231336200360157, 0.09862959568725072, 0.06542192322667688, -0.02565120666080879, 0.24503395484967364, 0.20096299311973984, 0.10500388758050071, -0.22761283383394282, 0.13062346823151327, -0.017563953726655906] |
710.1972 | Combinatorial Gelfand models for some semigroups and q-rook monoid
algebras | Inspired by the results of [R. Adin, A. Postnikov, Y. Roichman, Combinatorial
Gelfand model, preprint math.RT arXiv:0709.3962], we propose combinatorial
Gelfand models for semigroup algebras of some finite semigroups, which include
the symmetric inverse semigroup, the dual symmetric inverse semigroup, the
maximal factorizable subsemigroup in the dual symmetric inverse semigroup, and
the factor power of the symmetric group. Furthermore we extend the Gelfand
model for the semigroup algebras of the symmetric inverse semigroup to a
Gelfand model for the $q$-rook monoid algebra.
| math.RT | inspired by the results of r adin a postnikov y roichman combinatorial gelfand model preprint mathrt arxiv07093962 we propose combinatorial gelfand models for semigroup algebras of some finite semigroups which include the symmetric inverse semigroup the dual symmetric inverse semigroup the maximal factorizable subsemigroup in the dual symmetric inverse semigroup and the factor power of the symmetric group furthermore we extend the gelfand model for the semigroup algebras of the symmetric inverse semigroup to a gelfand model for the qrook monoid algebra | [['inspired', 'by', 'the', 'results', 'of', 'r', 'adin', 'a', 'postnikov', 'y', 'roichman', 'combinatorial', 'gelfand', 'model', 'preprint', 'mathrt', 'arxiv07093962', 'we', 'propose', 'combinatorial', 'gelfand', 'models', 'for', 'semigroup', 'algebras', 'of', 'some', 'finite', 'semigroups', 'which', 'include', 'the', 'symmetric', 'inverse', 'semigroup', 'the', 'dual', 'symmetric', 'inverse', 'semigroup', 'the', 'maximal', 'factorizable', 'subsemigroup', 'in', 'the', 'dual', 'symmetric', 'inverse', 'semigroup', 'and', 'the', 'factor', 'power', 'of', 'the', 'symmetric', 'group', 'furthermore', 'we', 'extend', 'the', 'gelfand', 'model', 'for', 'the', 'semigroup', 'algebras', 'of', 'the', 'symmetric', 'inverse', 'semigroup', 'to', 'a', 'gelfand', 'model', 'for', 'the', 'qrook', 'monoid', 'algebra']] | [-0.041787070923565345, 0.07406357208404828, -0.04246091150483231, 0.17975504772254713, -0.18032200829942285, -0.13751245997731149, -0.020018244093215024, 0.32133030689057007, -0.4348286209329043, -0.06777220739074695, 0.12994072908667825, -0.29398780693242577, -0.11885713912362669, 0.1550911708108299, -0.13136853597322365, 0.020155046560606103, -0.001277625802214499, 0.07933689212357556, -0.13706306698369178, -0.1692480417902662, 0.4399968719707779, 0.05473632556903693, 0.22413106949103098, 0.013587059895795436, 0.114618222332663, 0.03983172891017647, -0.13561820764278557, -0.07976132893451938, -0.1663345955082296, 0.10260046423516339, 0.32366828760909194, 0.07919293389092256, 0.18232704837013175, -0.3643109968484, -0.09068287996701713, 0.2447215170243088, 0.12604044255927022, -0.0633978068233571, -0.07908655325939626, -0.30046241408512914, 0.1075184273355307, -0.3013656201576929, -0.09679543203961702, -0.026743012382706374, 0.13298269772879134, 0.0016933202191635414, -0.35153677222537405, 0.017423845769731144, 0.2244557178935703, 0.08393650238666638, -0.057588879756319024, -0.09271185365677984, -0.03295615888028233, -0.020727267333616812, -0.07079711318861141, -0.04292324253783366, 0.09240623120287503, -0.019953681822912194, -0.22486708413257642, 0.3048008390943761, 0.0066974783304756804, -0.1965134968969649, 0.030959902825638836, -0.1869221335725376, -0.1212237985620712, 0.12447833279607656, 0.022916892853875954, 0.19514568941092786, -0.05094587436106838, 0.3047924938110094, -0.26117368991038314, 0.0002284202779309801, 0.03793906525099351, -0.02284674603997925, 0.041167146491783636, 0.07356160237557358, 0.025292406335795, 0.23082880636987588, 0.14612349628666302, -0.07450061204072869, -0.33691700637041605, -0.1303872492302347, -0.11444253452628116, 0.1611954463576829, -0.1681145549071651, -0.19850697858190094, 0.4342342129460088, 0.0815875353636565, 0.10163323822672721, 0.12540519248010062, 0.1402549833910149, 0.10745075917630284, 0.030066404181222122, 0.07263529386348379, 0.034695891762960035, 0.34657250877389295, 0.013053761450228867, -0.22637036169108785, -0.08065514479344135, 0.3754868650418005] |
710.1973 | The 0^{-+} and 0^{++} glueballs and the multiplets including them | The properties of the $0^{++}$ and $0^{-+}$ meson multiplets are discussed.
Quoted are the $0^{++}$ and $0^{-+}$ glueball masses determined from data fit.
| hep-ph | the properties of the 0 and 0 meson multiplets are discussed quoted are the 0 and 0 glueball masses determined from data fit | [['the', 'properties', 'of', 'the', '0', 'and', '0', 'meson', 'multiplets', 'are', 'discussed', 'quoted', 'are', 'the', '0', 'and', '0', 'glueball', 'masses', 'determined', 'from', 'data', 'fit']] | [-0.08987826562446097, 0.24603277226181133, -0.003154252696296443, 0.16473627774773733, -0.02611785884136739, -0.18355038567729617, 0.02467381508777971, 0.3625224773650584, -0.22134407204778297, -0.23843908050785895, 0.07472858966692635, -0.3871294327647142, 0.058595322801367096, 0.06035046287528847, 0.12135431826438593, 0.07009138353168964, 0.007525064962227707, 0.07405970980534735, -0.08955532774005247, -0.16810661449056605, 0.3255199064379153, -0.15256767064009025, 0.10408030191193456, 0.04324939992764722, -0.029422099251583542, -0.11511745897081235, -0.028808891388547163, -0.1462570224767146, -0.27867438125869504, 0.010852615794409876, 0.20363012244722442, 0.12929761703328593, 0.10998763403166896, -0.23629281151553858, -0.09386821407014909, 0.0857077835370665, 0.18719616167895173, 0.006181514295546905, 0.03739567951339742, -0.3416699896688047, 0.1558527400231232, -0.09633188087331213, -0.2099520602951879, -0.1079709160587062, 0.023091178630357204, 0.02406914402609286, -0.32698026838024025, 0.1608267242655806, -0.04183613006835398, 0.06939530955708545, -0.15575744782614967, -0.4425737098183321, -0.1523667573928833, 0.13255835381215034, 0.18142206813006298, 0.08576029638314377, 0.13112826062285382, -0.17953275123854046, -0.0781782181204661, 0.40965075272580853, -0.08214717334055383, -0.17082897896002774, 0.05505474980758584, -0.1725443310873664, -0.1469065428144582, 0.11683661715410974, 0.06400948196001675, 0.14430794702923816, -0.11849058767699677, 0.21646386384457836, 0.0012000033065028813, 0.17322465242898982, 0.07868060688285725, 0.07456428330877553, 0.22567859948005364, 0.06535621436879686, -0.13624414603185395, -0.012383639812469482, -0.06898435020981275, -0.04222608803083067, -0.39299785378186597, -0.04745203888286715, -0.17933164763709772, 0.1099154744297266, -0.08971303292302131, -0.01484895918680274, 0.3201566694871239, 0.0831274871268998, 0.28153747797984147, 0.09588025024403697, 0.2295582543896592, 0.07542885694166888, 0.010935418267288933, 0.05592950336311175, 0.30390379383512167, 0.251819986809531, 0.13004258036127556, -0.18846130325539928, -0.05984330981079003, -0.032850588641493865] |
710.1974 | Microwave photovoltage and photoresistance effects in ferromagnetic
microstrips | We investigate the dc electric response induced by ferromagnetic resonance in
ferromagnetic Permalloy (Ni80Fe20) microstrips. The resulting magnetization
precession alters the angle of the magnetization with respect to both dc and rf
current. Consequently the time averaged anisotropic magnetoresistance (AMR)
changes (photoresistance). At the same time the time-dependent AMR oscillation
rectifies a part of the rf current and induces a dc voltage (photovoltage). A
phenomenological approach to magnetoresistance is used to describe the distinct
characteristics of the photoresistance and photovoltage with a consistent
formalism, which is found in excellent agreement with experiments performed on
in-plane magnetized ferromagnetic microstrips. Application of the microwave
photovoltage effect for rf magnetic field sensing is discussed.
| cond-mat.str-el | we investigate the dc electric response induced by ferromagnetic resonance in ferromagnetic permalloy ni80fe20 microstrips the resulting magnetization precession alters the angle of the magnetization with respect to both dc and rf current consequently the time averaged anisotropic magnetoresistance amr changes photoresistance at the same time the timedependent amr oscillation rectifies a part of the rf current and induces a dc voltage photovoltage a phenomenological approach to magnetoresistance is used to describe the distinct characteristics of the photoresistance and photovoltage with a consistent formalism which is found in excellent agreement with experiments performed on inplane magnetized ferromagnetic microstrips application of the microwave photovoltage effect for rf magnetic field sensing is discussed | [['we', 'investigate', 'the', 'dc', 'electric', 'response', 'induced', 'by', 'ferromagnetic', 'resonance', 'in', 'ferromagnetic', 'permalloy', 'ni80fe20', 'microstrips', 'the', 'resulting', 'magnetization', 'precession', 'alters', 'the', 'angle', 'of', 'the', 'magnetization', 'with', 'respect', 'to', 'both', 'dc', 'and', 'rf', 'current', 'consequently', 'the', 'time', 'averaged', 'anisotropic', 'magnetoresistance', 'amr', 'changes', 'photoresistance', 'at', 'the', 'same', 'time', 'the', 'timedependent', 'amr', 'oscillation', 'rectifies', 'a', 'part', 'of', 'the', 'rf', 'current', 'and', 'induces', 'a', 'dc', 'voltage', 'photovoltage', 'a', 'phenomenological', 'approach', 'to', 'magnetoresistance', 'is', 'used', 'to', 'describe', 'the', 'distinct', 'characteristics', 'of', 'the', 'photoresistance', 'and', 'photovoltage', 'with', 'a', 'consistent', 'formalism', 'which', 'is', 'found', 'in', 'excellent', 'agreement', 'with', 'experiments', 'performed', 'on', 'inplane', 'magnetized', 'ferromagnetic', 'microstrips', 'application', 'of', 'the', 'microwave', 'photovoltage', 'effect', 'for', 'rf', 'magnetic', 'field', 'sensing', 'is', 'discussed']] | [-0.21867037160103922, 0.16975577226168737, 0.013927512294570874, -0.04292790857374433, -0.08770184280971687, -0.1316313242355177, 0.01913529094350566, 0.4156070094857667, -0.25192063813609583, -0.3010106553215542, -0.011565180845676107, -0.27369750349421623, -0.07201702806779796, 0.2749183930473419, 0.04644746654708912, 0.026821890443160728, -0.028950412686377228, -0.02520790954145628, -0.0804837394226762, -0.14413558686496103, 0.21326750259099714, 0.03796911968740525, 0.38304711726435403, 0.048478589053391606, 0.09751896621742777, -0.002411299829815959, 0.068975323941223, 0.11880962590913514, -0.12614399598290524, -0.009753409777765334, 0.22855556871205032, -0.1466228066742219, 0.1332821913717969, -0.4782815459310203, -0.16582928044167725, -0.01575363692953377, 0.09092506703392074, 0.13771016620045007, -0.07102387947521198, -0.2584785929721621, 0.06006828090595501, -0.10927828418317477, -0.09614758752705949, -0.06545497525718298, -0.02989778748549823, 0.03000676845460459, -0.3145509242826888, 0.10909746785497142, 0.07759319638900526, 0.11214740294963121, -0.08605573703912464, -0.10121067847032938, -0.05247178571802136, 0.02703187570237001, 0.059296611480431645, 0.10075725443443065, 0.22201882206272702, -0.0604352582212504, -0.13922196155967745, 0.267622198192151, -0.12045476325527504, -0.09302328248415981, 0.08884876806221835, -0.23897417854131744, 0.005355889901627896, 0.12569793224594816, 0.12792156647622316, 0.07575781982778027, -0.16725498593101898, 0.08525652455025445, 0.046169885669138516, 0.16712798687486766, 0.08975370635219791, -0.007492797072257884, 0.2725031782709364, 0.21430549397330462, 0.03177956049959805, 0.18072290496002916, -0.1776521546946553, 0.014512871354314926, -0.20784615078387228, -0.09185193916172474, -0.18547502949389186, 0.09898825748278214, -0.06029632866242586, -0.20506400954783768, 0.4912486074257407, 0.1920422322540502, 0.14670082764817519, -0.0456419069779332, 0.37990414612163026, 0.12194099977008395, 0.08114355478041411, 0.013303043136188577, 0.259185973823339, 0.24268605826246376, 0.23911689804879496, -0.41061231311461005, 0.0932260922005249, -0.06590957703228267] |
710.1975 | The Levy-Gromov Isoperimetric Inequality in Convex Manifolds with
Boundary | We observe after Bayle and Rosales that the Levy-Gromov isoperimetric
inequality generalizes to convex manifolds with boundary.
| math.DG math.MG | we observe after bayle and rosales that the levygromov isoperimetric inequality generalizes to convex manifolds with boundary | [['we', 'observe', 'after', 'bayle', 'and', 'rosales', 'that', 'the', 'levygromov', 'isoperimetric', 'inequality', 'generalizes', 'to', 'convex', 'manifolds', 'with', 'boundary']] | [-0.0966649993788451, 0.019694747927132994, -0.10794565031392267, 0.04975100373849273, -0.0996377378469333, -0.2793603370664641, -0.005192684286157601, 0.3416990523110144, -0.27286354737589136, -0.24465884023811668, 0.16178772141574882, -0.31668186699971557, -0.18046328285709023, 0.16894711647182703, -0.2808544668368995, 0.08267997100483626, 0.07521086186170578, -0.016401644446887076, -0.117721218673978, -0.2611850101966411, 0.43518691742792726, -0.13777102646417916, 0.16977591929025948, 0.22126827156171203, 0.07443329459056258, 0.025772962340852246, 0.06322430845466442, 0.09224591834936291, -0.2892763836011909, 0.158080135792261, 0.23987623350694776, 0.14053700561635196, 0.2407870237948373, -0.3922073934227228, -0.16019766475073993, 0.15730601781979203, 0.06450056459289044, -0.01964831748045981, 0.009612775582354516, -0.35451073630247265, 0.012379712308757007, 0.02155683236196637, -0.21523437782889232, -0.05542470148066059, -0.020024582976475358, -0.0024928823113441467, -0.29807072942639934, 0.18099819001508877, 0.11959012958686799, -0.009689014870673418, -0.16745667584473267, -0.08460425835801288, -0.02256932749878615, -0.04469674511346966, 0.06666706659598276, 0.08137172283022664, 0.10379424624261446, 0.038062036379415076, -0.14359212666749954, 0.24125071289017797, -0.03549942187964916, -0.20547479088418186, 0.08970927947666496, -0.19201216421788558, -0.19360338797559962, 0.04632372804917395, 0.08530849916860461, 0.13406623591436073, -0.04944196465658024, 0.1452434485509002, -0.11952657973597525, 0.01649503770750016, 0.2080829858314246, -0.04691551785799675, -0.07718545198440552, 0.04795939545147121, 0.2873285249224864, 0.2709216403309256, -0.01789630226267036, -0.12460090353852138, -0.33437454607337713, -0.21577965206233785, -0.1498669038992375, 0.14582240232266486, -0.16450352480660513, -0.15915282946662046, 0.25080609240103513, -0.01325208373600617, 0.16568272421136498, 0.22396206256235018, 0.14544054912403226, -0.0005698001477867365, 0.037718776729889214, 0.1679623957752483, 0.20127267530187964, 0.24690142925828695, 0.09859497810248286, -0.1673492047120817, -0.04263698849536013, 0.1879397095181048] |
710.1976 | Solving Infinite Kolam in Knot Theory | In south India, there are traditional patterns of line-drawings encircling
dots, called ``Kolam'', among which one-line drawings or the ``infinite Kolam''
provide very interesting questions in mathematics. For example, we address the
following simple question: how many patterns of infinite Kolam can we draw for
a given grid pattern of dots? The simplest way is to draw possible patterns of
Kolam while judging if it is infinite Kolam. Such a search problem seems to be
NP complete. However, it is certainly not. In this paper, we focus on
diamond-shaped grid patterns of dots, (1-3-5-3-1) and (1-3-5-7-5-3-1) in
particular. By using the knot-theory description of the infinite Kolam, we show
how to find the solution, which inevitably gives a sketch of the proof for the
statement ``infinite Kolam is not NP complete.'' Its further discussion will be
given in the final section.
| cs.DM cond-mat.stat-mech | in south india there are traditional patterns of linedrawings encircling dots called kolam among which oneline drawings or the infinite kolam provide very interesting questions in mathematics for example we address the following simple question how many patterns of infinite kolam can we draw for a given grid pattern of dots the simplest way is to draw possible patterns of kolam while judging if it is infinite kolam such a search problem seems to be np complete however it is certainly not in this paper we focus on diamondshaped grid patterns of dots 13531 and 1357531 in particular by using the knottheory description of the infinite kolam we show how to find the solution which inevitably gives a sketch of the proof for the statement infinite kolam is not np complete its further discussion will be given in the final section | [['in', 'south', 'india', 'there', 'are', 'traditional', 'patterns', 'of', 'linedrawings', 'encircling', 'dots', 'called', 'kolam', 'among', 'which', 'oneline', 'drawings', 'or', 'the', 'infinite', 'kolam', 'provide', 'very', 'interesting', 'questions', 'in', 'mathematics', 'for', 'example', 'we', 'address', 'the', 'following', 'simple', 'question', 'how', 'many', 'patterns', 'of', 'infinite', 'kolam', 'can', 'we', 'draw', 'for', 'a', 'given', 'grid', 'pattern', 'of', 'dots', 'the', 'simplest', 'way', 'is', 'to', 'draw', 'possible', 'patterns', 'of', 'kolam', 'while', 'judging', 'if', 'it', 'is', 'infinite', 'kolam', 'such', 'a', 'search', 'problem', 'seems', 'to', 'be', 'np', 'complete', 'however', 'it', 'is', 'certainly', 'not', 'in', 'this', 'paper', 'we', 'focus', 'on', 'diamondshaped', 'grid', 'patterns', 'of', 'dots', '13531', 'and', '1357531', 'in', 'particular', 'by', 'using', 'the', 'knottheory', 'description', 'of', 'the', 'infinite', 'kolam', 'we', 'show', 'how', 'to', 'find', 'the', 'solution', 'which', 'inevitably', 'gives', 'a', 'sketch', 'of', 'the', 'proof', 'for', 'the', 'statement', 'infinite', 'kolam', 'is', 'not', 'np', 'complete', 'its', 'further', 'discussion', 'will', 'be', 'given', 'in', 'the', 'final', 'section']] | [-0.10057191595948045, 0.12010190424600455, -0.106490020910143, 0.1114541595064414, -0.10928853222614397, -0.15925860840935205, 0.05748879940643826, 0.3711839514190628, -0.261955100816904, -0.28341816784814, 0.11731942488720802, -0.28190724646159704, -0.1765259388088505, 0.1919048554744855, -0.11438642085219423, -0.030464696212405124, 0.07884377266779757, 0.05435100946414278, -0.016445485794447712, -0.2596889756471459, 0.29386182607866934, -0.006511250973098736, 0.22600441316203418, 0.10021686191211684, 0.06685827606344137, 0.0038236591195606666, -0.008228272800266312, 0.02561232935556251, -0.12895862324386026, 0.09488616243892255, 0.31708913333410316, 0.19126500922214726, 0.2396399034625864, -0.43304501903121884, -0.12610744174056943, 0.1450552947016136, 0.18816632897242147, 0.12968123889278513, -0.0518024230546291, -0.2154948628993462, 0.11156598553128973, -0.1264838253998238, -0.1465198374758272, -0.03859786014410033, 0.05638674916227119, -0.014512887455276686, -0.22062848063280294, -0.008018761488568523, 0.13848287386117855, 0.051807749314584595, 0.017737313999585214, -0.08548588429888089, 0.03831805761201658, 0.13082799846407675, 0.019801025812014723, 0.01584470967856654, 0.04966661125165073, -0.10881960431140834, -0.13682364419008186, 0.4078303247730693, 0.021836785781804636, -0.21223560793230822, 0.13911773138882025, -0.15599954062465415, -0.16855982219989318, 0.0827792901545763, 0.12722627536994338, 0.10200403154780413, -0.12177518040002526, 0.10550680861300518, -0.12685451360986286, 0.16578298648886813, 0.10881109642661244, 0.014206781954693513, 0.22501150913793, 0.1586822590139438, 0.09286695380612492, 0.1512919930940278, -0.0037473752618888798, -0.09105956095542449, -0.27839259529297333, -0.1433508487458786, -0.14100054500327594, 0.07823728151350329, -0.05247852994638168, -0.22708643996494188, 0.38469147424389055, 0.15613202668685952, 0.19248497577897017, -0.0015341616876801286, 0.23865484847160784, 0.0885543436743319, 0.02860667001442525, 0.05302177202226459, 0.16586677548205614, 0.08457778968537848, 0.05291667721483964, -0.12886135607444937, 0.06735576077978518, 0.05201313337581097] |
710.1977 | Coulomb-Blocked Transport Through a Quantum Dot with Spin-Split Level:
Increase of Differential Conductance Peaks by Spin Relaxation | Non-equilibrium transport through a quantum dot with one spin-split
single-particle level is studied in the cotunneling regime at low temperatures.
The Coulomb diamond can be subdivided into parts differing in at least one of
two respects: what kind of tunneling processes (i) determine the
single-particle occupations and (ii) mainly contribute to the current. No
finite systematic perturbation expansion of the occupations and the current can
be found that is valid within the entire Coulomb diamond. We therefore
construct a non-systematic solution, which is physically correct and
perturbative in the whole cotunneling regime, while smoothly crossing-over
between the different regions. With this solution the impact of an intrinsic
spin-flip relaxation on the transport is investigated. We focus on peaks in the
differential conductance that mark the onset of cotunneling-mediated sequential
transport. It is shown that these peaks are maximally pronounced at a
relaxation roughly as fast as sequential tunneling. The approach as well as the
presented results can be generalized to quantum dots with few levels.
| cond-mat.mes-hall | nonequilibrium transport through a quantum dot with one spinsplit singleparticle level is studied in the cotunneling regime at low temperatures the coulomb diamond can be subdivided into parts differing in at least one of two respects what kind of tunneling processes i determine the singleparticle occupations and ii mainly contribute to the current no finite systematic perturbation expansion of the occupations and the current can be found that is valid within the entire coulomb diamond we therefore construct a nonsystematic solution which is physically correct and perturbative in the whole cotunneling regime while smoothly crossingover between the different regions with this solution the impact of an intrinsic spinflip relaxation on the transport is investigated we focus on peaks in the differential conductance that mark the onset of cotunnelingmediated sequential transport it is shown that these peaks are maximally pronounced at a relaxation roughly as fast as sequential tunneling the approach as well as the presented results can be generalized to quantum dots with few levels | [['nonequilibrium', 'transport', 'through', 'a', 'quantum', 'dot', 'with', 'one', 'spinsplit', 'singleparticle', 'level', 'is', 'studied', 'in', 'the', 'cotunneling', 'regime', 'at', 'low', 'temperatures', 'the', 'coulomb', 'diamond', 'can', 'be', 'subdivided', 'into', 'parts', 'differing', 'in', 'at', 'least', 'one', 'of', 'two', 'respects', 'what', 'kind', 'of', 'tunneling', 'processes', 'i', 'determine', 'the', 'singleparticle', 'occupations', 'and', 'ii', 'mainly', 'contribute', 'to', 'the', 'current', 'no', 'finite', 'systematic', 'perturbation', 'expansion', 'of', 'the', 'occupations', 'and', 'the', 'current', 'can', 'be', 'found', 'that', 'is', 'valid', 'within', 'the', 'entire', 'coulomb', 'diamond', 'we', 'therefore', 'construct', 'a', 'nonsystematic', 'solution', 'which', 'is', 'physically', 'correct', 'and', 'perturbative', 'in', 'the', 'whole', 'cotunneling', 'regime', 'while', 'smoothly', 'crossingover', 'between', 'the', 'different', 'regions', 'with', 'this', 'solution', 'the', 'impact', 'of', 'an', 'intrinsic', 'spinflip', 'relaxation', 'on', 'the', 'transport', 'is', 'investigated', 'we', 'focus', 'on', 'peaks', 'in', 'the', 'differential', 'conductance', 'that', 'mark', 'the', 'onset', 'of', 'cotunnelingmediated', 'sequential', 'transport', 'it', 'is', 'shown', 'that', 'these', 'peaks', 'are', 'maximally', 'pronounced', 'at', 'a', 'relaxation', 'roughly', 'as', 'fast', 'as', 'sequential', 'tunneling', 'the', 'approach', 'as', 'well', 'as', 'the', 'presented', 'results', 'can', 'be', 'generalized', 'to', 'quantum', 'dots', 'with', 'few', 'levels']] | [-0.11127829165467652, 0.170972509980546, -0.0754228890447582, 0.09042346746364052, 0.013060514915950323, -0.15265526673926905, 0.040975264583078284, 0.3646601862955566, -0.29220333665314063, -0.2683339638169855, 0.03870494203448931, -0.3024507954364597, -0.11166083708507712, 0.17879600590946743, 0.011428268225444765, -0.017037551208376522, 0.03440231347893842, 0.011141870086714512, -0.0573845280081647, -0.2238863696253336, 0.29813387753476, 0.03205145334061121, 0.2882333509851156, 0.09648169200901487, 0.06367990065354673, 0.0017649809810014942, 0.05951240278848606, 0.04426824891224231, -0.11078328543789678, 0.04195326346358875, 0.2826171377616957, -0.0070006269024594165, 0.255144889648186, -0.43847366889211825, -0.17232044803677127, 0.012069484960037942, 0.18268879827696877, 0.14311321811443875, -0.009188240382106258, -0.24840197403256487, 0.04666028885531421, -0.14442627403101452, -0.07993552580521238, -0.06879281256029882, -0.0110069986648585, 0.0011692534129152346, -0.23621315693641762, 0.1203280659449264, 0.0373076444680564, -0.010127749356509345, -0.024129112892806892, -0.09762253796840768, -0.02493387573095544, 0.11507393965190958, 0.021012061363563123, 0.00724277050868273, 0.1652669824813152, -0.10915039490948136, -0.12240919609349675, 0.3533419230612131, -0.055054983558564835, -0.15971746970828418, 0.18568714461062194, -0.21114821716817947, -0.10455926330674939, 0.14554679176270416, 0.08826368852382208, 0.12421133394761966, -0.17522318287832073, 0.05989403868993466, 0.008838787129739435, 0.1277013437087057, 0.06144962718613764, 0.07472180222976021, 0.22948142209249298, 0.16435684711053378, 0.06496753051831591, 0.1259474960665457, -0.12093354595779646, -0.13423257994198626, -0.3163307830407398, -0.11324364570730434, -0.18227055946949916, 0.07851336065895582, -0.04488305282105036, -0.1844241523967201, 0.40490247584239114, 0.11598182831913596, 0.2174793336336024, -0.018740711744346588, 0.27980880692555776, 0.2077688599550506, 0.07707742822254304, 0.04981191132910459, 0.2378907123693796, 0.1225075415937548, 0.06257518212078139, -0.28850413528668534, 0.06281571071197438, 0.019015609667204867] |
710.1978 | The Role of Lepton Flavours in Thermal Leptogenesis | Thermal leptogenesis, that can be viewed as a consequence of the seesaw
model, is a very natural mechanism to explain the matter anti-matter asymmetry
of the Universe. Recently, lepton flavours have been included in the Boltzmann
equations, modifying significantly the evaluation of the efficiency of
leptogenesis to explain the observed baryon asymmetry.
| hep-ph | thermal leptogenesis that can be viewed as a consequence of the seesaw model is a very natural mechanism to explain the matter antimatter asymmetry of the universe recently lepton flavours have been included in the boltzmann equations modifying significantly the evaluation of the efficiency of leptogenesis to explain the observed baryon asymmetry | [['thermal', 'leptogenesis', 'that', 'can', 'be', 'viewed', 'as', 'a', 'consequence', 'of', 'the', 'seesaw', 'model', 'is', 'a', 'very', 'natural', 'mechanism', 'to', 'explain', 'the', 'matter', 'antimatter', 'asymmetry', 'of', 'the', 'universe', 'recently', 'lepton', 'flavours', 'have', 'been', 'included', 'in', 'the', 'boltzmann', 'equations', 'modifying', 'significantly', 'the', 'evaluation', 'of', 'the', 'efficiency', 'of', 'leptogenesis', 'to', 'explain', 'the', 'observed', 'baryon', 'asymmetry']] | [-0.08161033291029386, 0.21050835891555136, -0.12717905139120725, 0.2021461020944676, -0.11005187131321201, -0.13368434310317612, 0.021887682217101637, 0.2570710200816393, -0.2597039079007048, -0.3265185396034772, -0.0012261046548911298, -0.22397242203498116, -0.009774688452195663, 0.12643248476356697, 0.0030807903967797756, 1.361432413642223e-05, 0.01816901736534559, -0.04251903467453443, 0.01906569125220323, -0.2620405570532267, 0.2676743328248939, 0.1090335697741606, 0.2653567298548296, 0.10008519491216597, 0.09794329400532521, -0.17572813786458796, -0.03262384432869462, -0.00037512734818917053, -0.02577772504236446, 0.0095146163008534, 0.20113320449868646, 0.10838790244619864, 0.12652122875890479, -0.4427015299622256, -0.2738221619421473, 0.2234538157757085, 0.2061261569794554, 0.1450628582209062, -0.1219111262068439, -0.25468600215390325, 0.08731364059405258, -0.24954090761737183, -0.13233896563402736, -0.09782440689965509, -0.03814838075329764, -0.07524010005335395, -0.31055003139548576, 0.13608164379659754, 0.0058503638988790605, -0.055325282200311236, -0.01801041764422105, -0.13712054215228328, -0.045079181561819635, -0.01467662868806376, 0.17020539232180454, -0.041614040768203825, 0.14238648259868988, -0.17129340703384235, -0.17438688927974838, 0.48131122841284824, -0.09578833703954633, -0.10577043719016589, 0.09381185536487745, -0.15916494803073314, -0.12973194472635022, 0.05812360745263644, 0.15223251627041742, 0.07650059859196727, -0.17565095238387585, 0.14531201106281236, -0.10296705956212603, 0.11429184750886634, 0.07046755611036833, 0.02556666109460191, 0.2961781264927525, 0.2265947530619227, -0.022526064757795002, 0.048252672008507386, -0.02353054929811221, -0.05905136494682385, -0.3579889719302838, -0.14940489276957053, -0.17679612673460865, 0.06916306492460605, -0.07705237836433718, -0.10027983480204757, 0.4389676041722011, 0.14908544130874082, 0.26388933905400336, -0.03374778437696827, 0.3054953308668561, 0.14776978865400173, 0.11643654004169199, -0.024883073477002863, 0.3282636609745588, 0.19325092758159512, 0.18977372366218612, -0.33680994583902735, 0.07855803379788995, 0.0637028157317008] |
710.1979 | Groups with the Minimal Conditions for Subgroups and for Nonabelian
Subgroups | For some very wide classes $\mathfrak{D}$ and
$\mathfrak{B}\subset\mathfrak{D}$ of groups, the author proves that an
arbitrary (nonabelian) group $G\in \mathfrak{D}$ (respectively $G\in
\mathfrak{B}$) satisfies the minimal condition for (nonabelian) subgroups iff
it is Chernikov
| math.GR | for some very wide classes mathfrakd and mathfrakbsubsetmathfrakd of groups the author proves that an arbitrary nonabelian group gin mathfrakd respectively gin mathfrakb satisfies the minimal condition for nonabelian subgroups iff it is chernikov | [['for', 'some', 'very', 'wide', 'classes', 'mathfrakd', 'and', 'mathfrakbsubsetmathfrakd', 'of', 'groups', 'the', 'author', 'proves', 'that', 'an', 'arbitrary', 'nonabelian', 'group', 'gin', 'mathfrakd', 'respectively', 'gin', 'mathfrakb', 'satisfies', 'the', 'minimal', 'condition', 'for', 'nonabelian', 'subgroups', 'iff', 'it', 'is', 'chernikov']] | [-0.2539758083382339, 0.1687883723877321, -0.06715636141598225, 0.06360140783274829, -0.1480230607769706, -0.2059782613068819, -0.051997387471298374, 0.3824777938778315, -0.2794025869983615, -0.16409558514979752, 0.07659941039288021, -0.2640960972869035, -0.08520669728573976, 0.22334051072936167, -0.17425370357479109, -0.07215582655573433, 0.03571951959130467, 0.14465399670668624, -0.046766064008944806, -0.28405452648064855, 0.30981980089211103, -0.1562310608498978, 0.2359475695499868, 0.08287411009554159, 0.16184638192256293, -0.016773976808921856, 0.051269113199051586, -0.09020318136070714, -0.16580686450933255, -0.009318323947037712, 0.3399648506081466, 0.06635644800509467, 0.22465971473491553, -0.25967064099104115, -0.12342090986556176, 0.2840665111487562, 0.09633677531823967, -0.10099493249347716, -0.05727412977792097, -0.3263377314151237, 0.23527251675047658, -0.22611864977939564, -0.1489212481079228, -0.09338533868095979, 0.2247567567974329, -0.06327755922790278, -0.32246976994881127, -0.000509765443646095, 0.15014020333800351, 0.14236200579343308, -0.02158655525382721, -0.09202951867359155, -0.08022308050457275, 0.0781676852934514, -0.049805659215163556, 0.05754469646578372, 0.012432960849819761, -0.09639805973027692, -0.05980211281866738, 0.44271853814522427, -0.01433006106791171, -0.22374455625134887, 0.08416215381161733, -0.13020238051698965, -0.3104816703972491, 0.04966135571400324, -0.05408767147949248, 0.1600530283017592, -0.018523552744282468, 0.2775187216060603, -0.23362330036858717, 0.06281663799150423, 0.09614393369040707, -0.000294242018946644, 0.07170007705236926, 0.020732524748327152, 0.1464002188577345, 0.0963858553405964, 0.14362006741717007, 0.13984018186050834, -0.4507828693639374, -0.20068428800864654, -0.13401580531375878, 0.08838994504714554, -0.10246497207756902, -0.1705374243655101, 0.35142335414209147, 0.04852433013729751, 0.015049910384484312, 0.16023851304569028, 0.06450028875560472, 0.01011294640149131, 0.05333687827894182, 0.14536793099603418, 0.00971800700327466, 0.28447564126867236, -0.14352110039555666, -0.1466121727770025, -0.048939311213678484, 0.23818990543033136] |
710.198 | The critical behavior of 3D Ising glass models: universality and scaling
corrections | We perform high-statistics Monte Carlo simulations of three three-dimensional
Ising spin-glass models: the +-J Ising model for two values of the disorder
parameter p, p=1/2 and p=0.7, and the bond-diluted +-J model for
bond-occupation probability p_b = 0.45. A finite-size scaling analysis of the
quartic cumulants at the critical point shows conclusively that these models
belong to the same universality class and allows us to estimate the
scaling-correction exponent omega related to the leading irrelevant operator,
omega=1.0(1). We also determine the critical exponents nu and eta. Taking into
account the scaling corrections, we obtain nu=2.53(8) and eta=-0.384(9).
| cond-mat.dis-nn cond-mat.stat-mech | we perform highstatistics monte carlo simulations of three threedimensional ising spinglass models the j ising model for two values of the disorder parameter p p12 and p07 and the bonddiluted j model for bondoccupation probability p_b 045 a finitesize scaling analysis of the quartic cumulants at the critical point shows conclusively that these models belong to the same universality class and allows us to estimate the scalingcorrection exponent omega related to the leading irrelevant operator omega101 we also determine the critical exponents nu and eta taking into account the scaling corrections we obtain nu2538 and eta03849 | [['we', 'perform', 'highstatistics', 'monte', 'carlo', 'simulations', 'of', 'three', 'threedimensional', 'ising', 'spinglass', 'models', 'the', 'j', 'ising', 'model', 'for', 'two', 'values', 'of', 'the', 'disorder', 'parameter', 'p', 'p12', 'and', 'p07', 'and', 'the', 'bonddiluted', 'j', 'model', 'for', 'bondoccupation', 'probability', 'p_b', '045', 'a', 'finitesize', 'scaling', 'analysis', 'of', 'the', 'quartic', 'cumulants', 'at', 'the', 'critical', 'point', 'shows', 'conclusively', 'that', 'these', 'models', 'belong', 'to', 'the', 'same', 'universality', 'class', 'and', 'allows', 'us', 'to', 'estimate', 'the', 'scalingcorrection', 'exponent', 'omega', 'related', 'to', 'the', 'leading', 'irrelevant', 'operator', 'omega101', 'we', 'also', 'determine', 'the', 'critical', 'exponents', 'nu', 'and', 'eta', 'taking', 'into', 'account', 'the', 'scaling', 'corrections', 'we', 'obtain', 'nu2538', 'and', 'eta03849']] | [-0.11422543482773978, 0.15940706711262465, -0.09738326697539457, 0.10764908866511415, -0.01108489452124796, -0.20655836697931038, 0.0934966892287459, 0.2908122803492006, -0.19678889849709105, -0.2667284023279891, 0.025820934803366825, -0.3450739452966208, -0.08847894813959062, 0.1625366721988109, 0.10591206872714279, 0.11676077597598045, -0.003726479878304931, -0.013953764538240173, -0.08985705834145294, -0.1940075784779923, 0.2902799552488748, 0.02074322702031603, 0.25171019172146614, 0.04366497040483291, 0.027162362836584773, 0.01450558260852552, 0.00029651332727592927, -0.007177611392841715, -0.27638455908835685, 0.0064806179852103405, 0.18070708006804204, -0.024462948067989404, 0.18642101864806254, -0.3160669949366306, -0.1749946657952893, 0.17790214162643836, 0.15484290672263698, 0.06941991946508136, 0.08456810937344056, -0.2740990309469888, 0.08936104856674439, -0.19518112895868556, -0.17510502347115264, -0.1200873543528597, 0.0390210621787802, 0.011702338557528414, -0.3496067194070708, 0.13059878245258005, 0.07499610944448606, 0.0595030371180695, -0.05320206801622154, -0.1527973991089865, -0.015903786300322794, 0.14538926316005096, 0.05544451900641434, 0.06283777714302034, 0.08529800671891755, -0.11711309202339339, -0.12649806629380453, 0.3384907304552262, 0.006857580171250131, -0.17935712222495806, 0.16749918345442932, -0.22518166543348975, -0.18974118461103542, 0.12192155056096532, 0.1443122914162181, 0.05944980865119167, -0.09835213240559983, 0.1362118239320926, 0.01919489461199745, 0.1592242514588693, -0.04863270269909307, -0.05950551641517845, 0.1647725445015923, 0.10308636983846435, -0.012131732260889334, 0.15312532602262724, -0.14216861109067078, -0.1672246846415953, -0.31311647621560434, -0.12938022335140925, -0.18358327776608666, 0.09894275328817616, -0.18919168187367968, -0.15596478131761693, 0.37874642835484573, 0.24110883995182003, 0.22173023891746593, 0.09637845317711649, 0.15743212464946302, 0.14852556373681064, 0.04153042468849732, 0.07687613372589745, 0.1939250941150417, 0.14959867965713466, 0.07157070282846689, -0.2562494112441883, 0.014186516854628597, 0.1274076445539401] |
710.1981 | Oriented matroids and Ky Fan's theorem | L. Lovasz has shown that Sperner's combinatorial lemma admits a
generalization involving a matroid defined on the set of vertices of the
associated triangulation. Inspired by this result we prove that classical Ky
Fan's theorem admits an oriented matroid generalization of similar nature. Ky
Fan's theorem is obtained as a corollary if the underlying oriented matroid is
chosen to be the alternating matroid C^{m,r} .
| math.CO math.AT | l lovasz has shown that sperners combinatorial lemma admits a generalization involving a matroid defined on the set of vertices of the associated triangulation inspired by this result we prove that classical ky fans theorem admits an oriented matroid generalization of similar nature ky fans theorem is obtained as a corollary if the underlying oriented matroid is chosen to be the alternating matroid cmr | [['l', 'lovasz', 'has', 'shown', 'that', 'sperners', 'combinatorial', 'lemma', 'admits', 'a', 'generalization', 'involving', 'a', 'matroid', 'defined', 'on', 'the', 'set', 'of', 'vertices', 'of', 'the', 'associated', 'triangulation', 'inspired', 'by', 'this', 'result', 'we', 'prove', 'that', 'classical', 'ky', 'fans', 'theorem', 'admits', 'an', 'oriented', 'matroid', 'generalization', 'of', 'similar', 'nature', 'ky', 'fans', 'theorem', 'is', 'obtained', 'as', 'a', 'corollary', 'if', 'the', 'underlying', 'oriented', 'matroid', 'is', 'chosen', 'to', 'be', 'the', 'alternating', 'matroid', 'cmr']] | [-0.18934388250454504, 0.029859127864483526, -0.10092223578249104, 0.10108904273693042, -0.17913555543054827, -0.13346388958234456, 0.04798544850200415, 0.29631865335977636, -0.39304203359643, -0.25202291694586165, 0.07901610612680088, -0.21783429987772251, -0.22450183602632023, 0.16339794345549308, -0.24061913824698422, -0.08216110198918614, 0.0773321199521888, 0.05518653390026884, -0.04103961684074875, -0.2913155752175953, 0.3107427508512046, -0.013979197161006596, 0.19603566728619626, 0.07978709607050405, 0.13708474297163775, 0.12139977981860284, 0.0070953898975858465, 0.10233958322714898, -0.17962002998069693, 0.08391566996579058, 0.2903280765749514, 0.1848862889855809, 0.20240132036269642, -0.3629188374034129, -0.08177309353413875, 0.16910865746467607, 0.06667245339667716, -0.034062117876601405, -0.0274502731172106, -0.20148829006939195, 0.12515202305075945, -0.07427246848965297, -0.2003560266311979, -0.011636563314823434, 0.025313329737400636, -0.0010430163674755022, -0.3004034238110762, -0.03559645679524692, 0.2093964747255086, 0.08500762649282478, 0.018911253431724617, -0.16665233302046545, -0.07804366787240724, -0.02345366701047169, -0.03015090302687895, 0.2144014622172108, 0.09176621402002638, -0.035281010164908366, -0.25565040874062106, 0.34142573895223904, 0.009721925598569214, -0.22142932967835804, 0.12313664663815871, -0.04431050405401038, -0.1855909619043814, 0.10462266371905571, 0.0669916819606442, 0.15254249537247233, -0.0761010970454663, 0.15319356993131805, -0.3060586318533751, 0.03682253033912275, 0.20099633563950192, 0.009604389677406289, 0.12451186786347535, 0.09054806634048873, 0.17586541264608968, 0.2540783571439533, 0.06940178883360204, -0.04141739257465815, -0.24712370915221982, -0.11195117479655892, -0.24125171586638317, 0.21238809460191987, -0.18044935551006347, -0.22371036218964946, 0.3300213809707202, 0.002817531584696553, 0.13350620988057926, 0.11660610730177723, 0.202076716668671, 0.0717857224628915, 0.04898374246477033, 0.10707552832172951, 0.1671313793049194, 0.31469855716932216, -0.011256601625063922, -0.06152247474892647, 0.06819391810131492, 0.29221967270132154] |
710.1982 | Comparing SU(2) to SU(3) gluodynamics on large lattices | We study the SU(2) gluon and ghost propagators in Landau gauge on lattices up
to a size of 112^4. A comparison with the SU(3) case is made and finite-volume
effects are then investigated. We find that for a large range of momenta the
SU(2) and SU(3) propagators are remarkably alike. In the low-momentum region we
compare with recent results obtained in DSE studies on a 4-torus.
| hep-lat | we study the su2 gluon and ghost propagators in landau gauge on lattices up to a size of 1124 a comparison with the su3 case is made and finitevolume effects are then investigated we find that for a large range of momenta the su2 and su3 propagators are remarkably alike in the lowmomentum region we compare with recent results obtained in dse studies on a 4torus | [['we', 'study', 'the', 'su2', 'gluon', 'and', 'ghost', 'propagators', 'in', 'landau', 'gauge', 'on', 'lattices', 'up', 'to', 'a', 'size', 'of', '1124', 'a', 'comparison', 'with', 'the', 'su3', 'case', 'is', 'made', 'and', 'finitevolume', 'effects', 'are', 'then', 'investigated', 'we', 'find', 'that', 'for', 'a', 'large', 'range', 'of', 'momenta', 'the', 'su2', 'and', 'su3', 'propagators', 'are', 'remarkably', 'alike', 'in', 'the', 'lowmomentum', 'region', 'we', 'compare', 'with', 'recent', 'results', 'obtained', 'in', 'dse', 'studies', 'on', 'a', '4torus']] | [-0.10977292891986894, 0.21371800770672658, -0.11543878309682688, 0.09988421469284786, -0.04184436798095703, -0.05936104529113932, 0.030486232565828796, 0.4443569469237418, -0.08475293422816321, -0.22621192266656595, 0.06609871911738689, -0.30254793725202256, -0.08655682685926105, 0.1345238326202062, 0.027514798633285063, 0.03546487845508664, 0.07141622237748269, 0.034657826562496746, -0.11226387732224821, -0.24127282065367608, 0.3400581988160301, -0.022695839630834984, 0.25034681239137146, 0.10910038665557902, 0.07110727217161295, 0.018342377184925488, -0.043935503189762436, 0.021856288538511955, -0.1440195798576028, 0.057273732935727545, 0.2020522264171053, -0.042273069647225464, 0.1744744798316705, -0.35573499181279633, -0.19248631617731668, 0.0320674669858294, 0.15706242910219412, 0.16943147216189766, -0.0360733216564933, -0.2865732746537436, 0.09144118167354133, -0.1874842149431281, -0.15686948934153683, -0.13601931586692279, -0.048958797025548076, -0.05433694162109697, -0.29193966278354777, 0.06255562553820765, -0.06662731619453001, 0.06677911336053953, -0.03959015014609604, -0.18935572935945608, -0.03861931535048467, 0.07545020055928917, 0.09756264898742577, 0.06957818198398771, 0.057204262600421454, -0.2246993622305154, -0.11564681355164132, 0.41743288098862674, -0.060942685725449613, -0.1978253342888572, 0.1966732041557517, -0.19305221201626188, -0.17357921796483974, 0.09678541603639271, 0.1465177022231122, 0.10626877914888389, -0.1254511066980547, 0.1647718583813967, -0.08174733263722649, 0.14926629608045472, 0.07123179158026521, 0.05025755841934094, 0.1342598154160166, 0.12774259966064358, -0.023381770659012324, 0.16207222565197188, -0.029080017406324096, -0.16389694918567935, -0.33747452542637335, -0.06966556551527571, -0.12584687055928181, 0.06029937324593916, -0.09613908021503559, -0.12912971074128468, 0.36623896410067874, 0.1094784465773652, 0.19311761524824594, 0.06241986748169769, 0.23381387583459867, 0.0891614771927848, 0.09360537452228142, 0.06434834415135397, 0.243513030000031, 0.16820545302647533, 0.07751793717739708, -0.2773519102977871, -0.17389772044826354, 0.1041323454401484] |
710.1983 | The quantum-classical crossover of a field mode | We explore the quantum-classical crossover in the behaviour of a quantum
field mode. The quantum behaviour of a two-state system - a qubit - coupled to
the field is used as a probe. Collapse and revival of the qubit inversion form
the signature for quantum behaviour of the field and continuous Rabi
oscillations form the signature for classical behaviour of the field. We
demonstrate both limits in a single model for the full coupled system, for
states with the same average field strength, and so for qubits with the same
Rabi frequency.
| quant-ph | we explore the quantumclassical crossover in the behaviour of a quantum field mode the quantum behaviour of a twostate system a qubit coupled to the field is used as a probe collapse and revival of the qubit inversion form the signature for quantum behaviour of the field and continuous rabi oscillations form the signature for classical behaviour of the field we demonstrate both limits in a single model for the full coupled system for states with the same average field strength and so for qubits with the same rabi frequency | [['we', 'explore', 'the', 'quantumclassical', 'crossover', 'in', 'the', 'behaviour', 'of', 'a', 'quantum', 'field', 'mode', 'the', 'quantum', 'behaviour', 'of', 'a', 'twostate', 'system', 'a', 'qubit', 'coupled', 'to', 'the', 'field', 'is', 'used', 'as', 'a', 'probe', 'collapse', 'and', 'revival', 'of', 'the', 'qubit', 'inversion', 'form', 'the', 'signature', 'for', 'quantum', 'behaviour', 'of', 'the', 'field', 'and', 'continuous', 'rabi', 'oscillations', 'form', 'the', 'signature', 'for', 'classical', 'behaviour', 'of', 'the', 'field', 'we', 'demonstrate', 'both', 'limits', 'in', 'a', 'single', 'model', 'for', 'the', 'full', 'coupled', 'system', 'for', 'states', 'with', 'the', 'same', 'average', 'field', 'strength', 'and', 'so', 'for', 'qubits', 'with', 'the', 'same', 'rabi', 'frequency']] | [-0.180113384169009, 0.1719930579057998, -0.07026712868052225, 0.043505982999017256, -0.0077872212665776415, -0.15863434824471673, 0.053631685925130214, 0.3062587856211596, -0.22719124238938093, -0.2562249239378919, 0.05128835490775398, -0.21959446602397495, -0.11597669008705351, 0.22031204907171842, 0.0537312014752792, 0.06758189569486098, 0.03552070440621012, 0.09757855652521054, -0.04613879636550943, -0.15369421190892657, 0.3034034837347766, 0.014746620072724505, 0.31284930703954567, -0.020266922521922325, 0.10363749392434127, -0.0009099176153540611, 0.13623281880799268, 0.0032056398689746858, -0.09185986596874297, 0.03388791631376888, 0.1901482131332159, 0.07864408436386536, 0.23035193209846813, -0.4304352795705199, -0.21285464312467312, 0.0815221936131517, 0.14219892274122686, 0.21254714760515425, -0.04005035538640287, -0.328801689710882, -0.016190235120140842, -0.15131167105606033, -0.1310585065227416, -0.04431738163241082, 0.013009227016785493, 0.005737972569962343, -0.28120527951460744, 0.06961359491364824, 0.0585988262668252, 0.08393032163795498, -0.029699530349009566, 0.008566532286608385, 0.04726500652937426, 0.1433764029889264, -0.013728415400772872, 0.009825001305176152, 0.13732866226281557, -0.17915163028778303, -0.14772063564871335, 0.3611346361744735, -0.15874214467023395, -0.17626827009436158, 0.1679117667876805, -0.17915322202154332, -0.05655145524069667, 0.0875034937583324, 0.12475819620821212, 0.09085421160691315, -0.11239580460694722, 0.08956558106583543, 0.026319858364553916, 0.213339224892358, 0.012122195576214127, 0.1038170688591587, 0.23711085133254528, 0.155482822842896, 0.03296028429435359, 0.18631868934155338, -0.10547621204621262, -0.18243030152387088, -0.3120546968188137, -0.20809689631116474, -0.18872641372694893, 0.097852523987078, -0.04573774421086354, -0.18939322042278944, 0.4858100860638337, 0.12108930625965715, 0.19445294689956225, 0.02947938257517914, 0.24105588597142033, 0.18231136051601626, 0.062065165396779774, 0.039730101384015545, 0.27703143324082097, 0.20808723766563667, 0.10502950228854185, -0.3427530760618134, -0.028253066705332862, -0.0005182661840485202] |
710.1984 | Density modulations in an elongated Bose-Einstein condensate released
from a disordered potential | We observe large density modulations in time-of-flight images of elongated
Bose-Einstein condensates, initially confined in a harmonic trap and in the
presence of weak disorder. The development of these modulations during the
time-of-flight and their dependence with the disorder are investigated. We
render an account of this effect using numerical and analytical calculations.
We conclude that the observed large density modulations originate from the weak
initial density modulations induced by the disorder, and not from initial phase
fluctuations (thermal or quantum).
| cond-mat.other quant-ph | we observe large density modulations in timeofflight images of elongated boseeinstein condensates initially confined in a harmonic trap and in the presence of weak disorder the development of these modulations during the timeofflight and their dependence with the disorder are investigated we render an account of this effect using numerical and analytical calculations we conclude that the observed large density modulations originate from the weak initial density modulations induced by the disorder and not from initial phase fluctuations thermal or quantum | [['we', 'observe', 'large', 'density', 'modulations', 'in', 'timeofflight', 'images', 'of', 'elongated', 'boseeinstein', 'condensates', 'initially', 'confined', 'in', 'a', 'harmonic', 'trap', 'and', 'in', 'the', 'presence', 'of', 'weak', 'disorder', 'the', 'development', 'of', 'these', 'modulations', 'during', 'the', 'timeofflight', 'and', 'their', 'dependence', 'with', 'the', 'disorder', 'are', 'investigated', 'we', 'render', 'an', 'account', 'of', 'this', 'effect', 'using', 'numerical', 'and', 'analytical', 'calculations', 'we', 'conclude', 'that', 'the', 'observed', 'large', 'density', 'modulations', 'originate', 'from', 'the', 'weak', 'initial', 'density', 'modulations', 'induced', 'by', 'the', 'disorder', 'and', 'not', 'from', 'initial', 'phase', 'fluctuations', 'thermal', 'or', 'quantum']] | [-0.1700205348006645, 0.27214906162479574, -0.09464820620408397, 0.06970361381464488, 0.04379596784250972, -0.0849224679045563, 0.0025455481027839362, 0.3799839013336617, -0.23505188295916643, -0.2821516209960352, 0.061445360860994294, -0.29200438662995526, -0.13602462782593513, 0.12176731349555431, 0.03835738642302192, 0.022880368331378256, 0.046845429082527576, -0.04959219126145781, -0.10270414303810002, -0.19512540681494606, 0.3315403424088418, 0.04201402653577841, 0.292337094295632, 0.10470244486781734, 0.03288328250939095, 0.020605955232670645, 0.0005055579333853574, 0.05518320432783645, -0.1380029675859942, 0.042672475477979505, 0.15361544425185356, -0.027408711198303435, 0.19503726498626264, -0.5057599672380789, -0.2392772182730245, 0.09303182437096114, 0.14237308816662358, 0.1910267590119699, -0.11399910764849204, -0.3493478234949303, 0.011078436583004616, -0.15970658789170378, -0.16064276659349555, -0.09393643454453092, 0.029426687841165672, 0.10069674920336699, -0.267192042518959, 0.16582899554460137, 0.032176935136962084, 0.10312759127950419, -0.11876726498321434, -0.05092053307381309, -0.030694573916448854, 0.07048656169129651, 0.039152389162300544, 0.003961331061558959, 0.16433868934055446, -0.13792035347181314, -0.03207093502544327, 0.3384825379708437, -0.12635341124540125, -0.11555897777923095, 0.16265138149560418, -0.22887861729243103, -0.08813924326871832, 0.19031069420829969, 0.15022014044685128, 0.0695800183708837, -0.0873384703249659, 0.01155015654620473, 0.030965427030165346, 0.19523845679402627, 0.07959611166015636, 0.08538800531446382, 0.2750954945790179, 0.12393140322586269, -0.01488374380601777, 0.1686050793799905, -0.18802504703678466, -0.08170168101212677, -0.2641332980337334, -0.05255691986531019, -0.2168280907481173, 0.028266015603605164, -0.052037234066692355, -0.19632906125812435, 0.36963822487971665, 0.17966001821152958, 0.2137993789323962, -0.06310883565391931, 0.28202325491993513, 0.14286262183277695, 0.05984926612093401, 0.03457374514345034, 0.26422376183068585, 0.14547519206736284, 0.1179036194872525, -0.2973409275478327, 0.04344032430319966, -0.02903716959760605] |
710.1985 | Dynamics of Mandelbrot Cascades | Mandelbrot multiplicative cascades provide a construction of a dynamical
system on a set of probability measures defined by inequalities on moments. To
be more specific, beyond the first iteration, the trajectories take values in
the set of fixed points of smoothing transformations (i.e., some generalized
stable laws).
Studying this system leads to a central limit theorem and to its functional
version. The limit Gaussian process can also be obtained as limit of an
`additive cascade' of independent normal variables.
| math.PR math.DS | mandelbrot multiplicative cascades provide a construction of a dynamical system on a set of probability measures defined by inequalities on moments to be more specific beyond the first iteration the trajectories take values in the set of fixed points of smoothing transformations ie some generalized stable laws studying this system leads to a central limit theorem and to its functional version the limit gaussian process can also be obtained as limit of an additive cascade of independent normal variables | [['mandelbrot', 'multiplicative', 'cascades', 'provide', 'a', 'construction', 'of', 'a', 'dynamical', 'system', 'on', 'a', 'set', 'of', 'probability', 'measures', 'defined', 'by', 'inequalities', 'on', 'moments', 'to', 'be', 'more', 'specific', 'beyond', 'the', 'first', 'iteration', 'the', 'trajectories', 'take', 'values', 'in', 'the', 'set', 'of', 'fixed', 'points', 'of', 'smoothing', 'transformations', 'ie', 'some', 'generalized', 'stable', 'laws', 'studying', 'this', 'system', 'leads', 'to', 'a', 'central', 'limit', 'theorem', 'and', 'to', 'its', 'functional', 'version', 'the', 'limit', 'gaussian', 'process', 'can', 'also', 'be', 'obtained', 'as', 'limit', 'of', 'an', 'additive', 'cascade', 'of', 'independent', 'normal', 'variables']] | [-0.1246949804613744, 0.0920358365712926, -0.14909153945649725, 0.09248118737614967, -0.02073586877447235, -0.11008255599992044, 0.12699090271651792, 0.25299689588667473, -0.3079593281579923, -0.23697801095822565, 0.10592389905300652, -0.2534603002817146, -0.11974424037705117, 0.22351424478560308, -0.08075500981546231, 0.06395575001373846, 0.03362747861213888, 0.053829296843128135, -0.06124931839707343, -0.22930952160371632, 0.3414695112541601, 0.04971516130439041, 0.22822496781561855, -0.03526122540919275, 0.12746271450968483, 0.016288114363869913, -0.01698274573287632, 0.034299803597121675, -0.12476889074697525, 0.10401808850679405, 0.19868900510187767, 0.10309162899574392, 0.29343886187748064, -0.3762241312408749, -0.1971797183170013, 0.14474280743824341, 0.12229578915682822, 0.06443435507767563, 0.04222268202615448, -0.3013010339375255, 0.09753650669126382, -0.16062484976328625, -0.174314860437254, -0.10898742310207667, 0.008180494025302461, 0.05960018817288212, -0.30637475633345357, 0.03902010672358808, 0.13991267416188552, 0.0447212268050931, -0.02894585957025661, -0.08965448523235, -0.01628138015895516, 0.11523372015055222, 0.034045783041378105, 0.008559046865770994, 0.1728557089142519, -0.08842777641257271, -0.1321655066707466, 0.35350942948856684, -0.06355666986790404, -0.25473744403335113, 0.14771430950045963, -0.14099875921560334, -0.164187550297172, 0.12353219325901775, 0.1822181804392257, 0.10245955648207211, -0.1841625107829518, 0.10505409367733246, -0.05364089933683789, 0.13803731562876248, 0.08874899501723674, 0.035987509732853765, 0.16846325757760036, 0.13492132573612506, 0.1247560485425299, 0.15344475479383918, -0.025407547431797545, -0.1381595406469099, -0.35534770984815645, -0.13108804109071592, -0.19323741133867092, 0.08735778083423554, -0.15992370744724316, -0.21549161141620407, 0.3577487455280144, 0.1088963280746174, 0.22514284815922192, 0.09796263469100187, 0.21412970224701905, 0.23050082239942754, 0.02023845942856013, 0.037547344775115954, 0.15389163495826866, 0.1781001157286471, 0.03701137933773991, -0.1101642086029147, 0.04397538060298826, 0.12876274954244682] |
710.1986 | A dual eigenvector condition for strong lumpability of Markov chains | Necessary and sufficient conditions for identifying strong lumpability in
Markov chains are presented. We show that the states in a lump necessarily
correspond to identical elements in eigenvectors of the dual transition matrix.
If there exist as many dual eigenvectors that respect the necessary condition
as there are lumps in the aggregation, then the condition is also sufficient.
The result is demonstrated with two simple examples.
| math.PR | necessary and sufficient conditions for identifying strong lumpability in markov chains are presented we show that the states in a lump necessarily correspond to identical elements in eigenvectors of the dual transition matrix if there exist as many dual eigenvectors that respect the necessary condition as there are lumps in the aggregation then the condition is also sufficient the result is demonstrated with two simple examples | [['necessary', 'and', 'sufficient', 'conditions', 'for', 'identifying', 'strong', 'lumpability', 'in', 'markov', 'chains', 'are', 'presented', 'we', 'show', 'that', 'the', 'states', 'in', 'a', 'lump', 'necessarily', 'correspond', 'to', 'identical', 'elements', 'in', 'eigenvectors', 'of', 'the', 'dual', 'transition', 'matrix', 'if', 'there', 'exist', 'as', 'many', 'dual', 'eigenvectors', 'that', 'respect', 'the', 'necessary', 'condition', 'as', 'there', 'are', 'lumps', 'in', 'the', 'aggregation', 'then', 'the', 'condition', 'is', 'also', 'sufficient', 'the', 'result', 'is', 'demonstrated', 'with', 'two', 'simple', 'examples']] | [-0.12885002855380828, 0.1749857607100046, -0.02503293151543899, 0.10438450313328455, -0.02102420162621208, -0.1709664460539705, -0.027312908723781056, 0.42092001161566284, -0.23430161830037832, -0.20249257592050443, 0.16023835672460723, -0.24466663965898933, -0.20049513232978908, 0.13234988997944377, -0.04043269704914454, 0.03870558697081199, 0.09966436295177449, 0.10304742079284607, -0.056225424999314724, -0.22940798214933072, 0.3206640910357237, -0.01340628872540864, 0.28852034906264057, 0.08180820702744479, 0.09824475078758868, -0.05323228650641712, 0.034242474622177804, 0.021544330273613785, -0.1446934214197399, 0.02039132688360317, 0.2749121086530839, 0.15803403774219932, 0.24352612512214392, -0.4381953262808648, -0.10322609897985151, 0.19233777555002068, 0.13369115351021968, 0.09944911272914121, -0.07872634725186578, -0.23314281825371314, 0.1574469238191589, -0.10799606384667144, -0.14634223657688408, -0.10392329289055796, 0.030113528962388184, 0.04563540992129481, -0.33730707423422823, 0.06607399366850697, 0.11180593287854483, 0.021900540824527994, -0.07320571182803674, -0.07495993665758181, -0.0741621252276342, 0.11208760245195167, 0.029588082868775182, -0.06058422333532662, 0.02293342194576381, -0.08794258588529898, -0.07970309017621206, 0.35967696895540663, -0.026110775317206528, -0.26405426749790256, 0.23337369152542317, -0.10426275017600732, -0.15352458075027575, 0.13706988631042116, 0.08229595600542697, 0.10944168237179067, -0.1442907251925631, 0.0778062862024826, -0.09679438728331165, 0.1269502898565296, 0.08664582669734955, 0.06557484720410271, 0.17069618138625767, 0.06783481060075715, 0.14897153275281502, 0.15569929343958697, 0.042407862418754536, -0.10938595168320744, -0.393235532849124, -0.1476387593923419, -0.18933652335015888, 0.012891044106447336, -0.07627047818470711, -0.1928816415849283, 0.3512854620348662, 0.1311344442691541, 0.2246727288531309, 0.024998237661114246, 0.1778844518227164, 0.1187682525469978, 0.04437418926902341, 0.08300156970367287, 0.21978045543514643, 0.20026598825599207, 0.02857632091212453, -0.1622166293382179, 0.05579279910660151, 0.08760485480624167] |
710.1987 | Resonances in twisted quantum waveguides | In this paper we consider embedded eigenvalues of a Schroedinger Hamiltonian
in a waveguide induced by a symmetric perturbation. It is shown that these
eigenvalues become unstable and turn into resonances after twisting of the
waveguide. The perturbative expansion of the resonance width is calculated for
weakly twisted waveguides and the influence of the twist on resonances in a
concrete model is discussed in detail.
| math-ph math.MP | in this paper we consider embedded eigenvalues of a schroedinger hamiltonian in a waveguide induced by a symmetric perturbation it is shown that these eigenvalues become unstable and turn into resonances after twisting of the waveguide the perturbative expansion of the resonance width is calculated for weakly twisted waveguides and the influence of the twist on resonances in a concrete model is discussed in detail | [['in', 'this', 'paper', 'we', 'consider', 'embedded', 'eigenvalues', 'of', 'a', 'schroedinger', 'hamiltonian', 'in', 'a', 'waveguide', 'induced', 'by', 'a', 'symmetric', 'perturbation', 'it', 'is', 'shown', 'that', 'these', 'eigenvalues', 'become', 'unstable', 'and', 'turn', 'into', 'resonances', 'after', 'twisting', 'of', 'the', 'waveguide', 'the', 'perturbative', 'expansion', 'of', 'the', 'resonance', 'width', 'is', 'calculated', 'for', 'weakly', 'twisted', 'waveguides', 'and', 'the', 'influence', 'of', 'the', 'twist', 'on', 'resonances', 'in', 'a', 'concrete', 'model', 'is', 'discussed', 'in', 'detail']] | [-0.18237562908683547, 0.18436625849169033, -0.057202510678997405, 0.057717549016412635, -0.020968964667274402, -0.10581225355943809, -0.038680385151663076, 0.4110119999887852, -0.20943528067034026, -0.19122674152828179, 0.07111241364350113, -0.27813106105089763, -0.16972413373967776, 0.14840196468867362, 0.01966067555185873, 0.06726192887156056, 0.114128246358954, 0.08963411365134212, -0.02398818164992218, -0.15753215786714395, 0.3543317826751333, 0.021980047662957358, 0.21498198200447055, 0.10068496266523233, 0.027600569263673744, 0.007064711284608795, 0.05377988803845186, -0.005208050464996352, -0.14335937288359182, 0.11398941362276674, 0.2043613597177542, -0.024344825522544293, 0.23293719600098065, -0.4167066150273268, -0.19120006832795647, 0.02373467884384669, 0.2048601543530822, 0.11241781096189069, -0.04576285437976297, -0.326733765607843, 0.05959789711767091, -0.16138118837888424, -0.1848337203120956, -0.04834279779058236, 0.03304183904368144, -0.06578589515903821, -0.2691317934990646, 0.05156629686602033, 0.10503235926421789, 0.008430317201866553, -0.02263043080098354, -0.05324117710384039, -0.04329677472034326, 0.02194811155876288, 0.019428007813313834, -0.06133503801404284, 0.12087535489207277, -0.10567093436749508, -0.06809183975251822, 0.38259083496836516, -0.07051303100485641, -0.2356776631114861, 0.06623312252072187, -0.1513303746182758, -0.0818247060291469, 0.12803954906188525, 0.18390172041522768, 0.1253677322027775, -0.10795730934120142, 0.13440908844618557, -0.02253214130894496, 0.12816580336433478, 0.13375660569335407, 0.005350399662095767, 0.18864682938617008, 0.13868571408451177, 0.033773769413192684, 0.2036736449943139, -0.013719719336726345, -0.1378126685722516, -0.32820270290741554, -0.13711699260971866, -0.16514569000126078, 0.05886724204398119, -0.052534420823660465, -0.22958238561986946, 0.4792977796151088, 0.08711593868927314, 0.23532439746822303, -0.03948500885699804, 0.25977718526354204, 0.19067071330948518, 0.08609918388896264, 0.03125770201978202, 0.30301352745065324, 0.2280351698720971, 0.033473230418390953, -0.24507742991957526, -0.05857128627025164, 0.05968800073561187] |
710.1988 | Deflated BiCGStab for linear equations in QCD problems | The large systems of complex linear equations that are generated in QCD
problems often have multiple right-hand sides (for multiple sources) and
multiple shifts (for multiple masses). Deflated GMRES methods have previously
been developed for solving multiple right-hand sides. Eigenvectors are
generated during solution of the first right-hand side and used to speed up
convergence for the other right-hand sides. Here we discuss deflating
non-restarted methods such as BiCGStab. For effective deflation, both left and
right eigenvectors are needed. Fortunately, with the Wilson matrix, left
eigenvectors can be derived from the right eigenvectors. We demonstrate for
difficult problems with kappa near kappa_c that deflating eigenvalues can
significantly improve BiCGStab. We also will look at improving solution of
twisted mass problems with multiple shifts. Projecting over previous solutions
is an easy way to reduce the work needed.
| hep-lat | the large systems of complex linear equations that are generated in qcd problems often have multiple righthand sides for multiple sources and multiple shifts for multiple masses deflated gmres methods have previously been developed for solving multiple righthand sides eigenvectors are generated during solution of the first righthand side and used to speed up convergence for the other righthand sides here we discuss deflating nonrestarted methods such as bicgstab for effective deflation both left and right eigenvectors are needed fortunately with the wilson matrix left eigenvectors can be derived from the right eigenvectors we demonstrate for difficult problems with kappa near kappa_c that deflating eigenvalues can significantly improve bicgstab we also will look at improving solution of twisted mass problems with multiple shifts projecting over previous solutions is an easy way to reduce the work needed | [['the', 'large', 'systems', 'of', 'complex', 'linear', 'equations', 'that', 'are', 'generated', 'in', 'qcd', 'problems', 'often', 'have', 'multiple', 'righthand', 'sides', 'for', 'multiple', 'sources', 'and', 'multiple', 'shifts', 'for', 'multiple', 'masses', 'deflated', 'gmres', 'methods', 'have', 'previously', 'been', 'developed', 'for', 'solving', 'multiple', 'righthand', 'sides', 'eigenvectors', 'are', 'generated', 'during', 'solution', 'of', 'the', 'first', 'righthand', 'side', 'and', 'used', 'to', 'speed', 'up', 'convergence', 'for', 'the', 'other', 'righthand', 'sides', 'here', 'we', 'discuss', 'deflating', 'nonrestarted', 'methods', 'such', 'as', 'bicgstab', 'for', 'effective', 'deflation', 'both', 'left', 'and', 'right', 'eigenvectors', 'are', 'needed', 'fortunately', 'with', 'the', 'wilson', 'matrix', 'left', 'eigenvectors', 'can', 'be', 'derived', 'from', 'the', 'right', 'eigenvectors', 'we', 'demonstrate', 'for', 'difficult', 'problems', 'with', 'kappa', 'near', 'kappa_c', 'that', 'deflating', 'eigenvalues', 'can', 'significantly', 'improve', 'bicgstab', 'we', 'also', 'will', 'look', 'at', 'improving', 'solution', 'of', 'twisted', 'mass', 'problems', 'with', 'multiple', 'shifts', 'projecting', 'over', 'previous', 'solutions', 'is', 'an', 'easy', 'way', 'to', 'reduce', 'the', 'work', 'needed']] | [-0.09031922471951004, 0.09313694858089244, -0.03372211493206797, 0.03809457022300059, -0.11347124724200479, -0.19539361155971333, -0.020115873452138017, 0.40877364245415837, -0.32381012771899503, -0.23809759981447348, 0.1873994815154691, -0.3220696965508439, -0.1007595710111437, 0.22551560884134636, -0.02616326935865261, 0.12673431203735094, 0.11130594198109099, 0.019457738667174623, -0.12253562891165967, -0.2595127164972601, 0.30476005752053525, 0.009926489671623266, 0.21090999738382243, 0.06480078003196804, 0.08033925092399673, -0.046560259943362325, -0.0016902281626783036, 0.002681113544989515, -0.03650876957356188, 0.10791764646527116, 0.27079208044128283, 0.09766871291557672, 0.2644687084735509, -0.46153528026684565, -0.14390222719111653, 0.09735478511839002, 0.23395235269778855, 0.10543281346283577, -0.023993920507254424, -0.26701556121999465, 0.11750897824488304, -0.10902305791085518, -0.14331247848286122, -0.10661886227662089, -0.03812775147595891, 0.02681141973093704, -0.31909173674260577, 0.07732197825357111, -0.01609117646218726, -0.00644870989576534, -0.04063488604431903, -0.23250858957568804, 0.011610456980350944, 0.1567991409347289, 0.07530971793975268, -0.03590981870268782, 0.06802541154126326, -0.09714919843159064, -0.11426185316716632, 0.3614127117588564, -0.026840212203010364, -0.25861903998172947, 0.17748992527076216, -0.11319479587039462, -0.12556142304265114, 0.11203935964100917, 0.1687755951002516, 0.16498014331898755, -0.10353127134515455, 0.08955627346488958, -0.035551625783382744, 0.13886021786472863, 0.15147151799044675, 0.0003638671331659511, 0.1820030589070585, 0.04946229701378831, 0.11733183488594713, 0.09342709702430983, -0.043943673079074534, -0.08799523867114827, -0.22362622611000443, -0.09649185227161204, -0.1465130859537533, -0.011216180319509779, -0.12528639322942278, -0.15801144392634914, 0.36840243719138754, 0.18121790522709488, 0.20182169087369134, 0.06723188703396805, 0.31390307145538154, 0.17766943031283855, 0.07159158274255417, 0.09773031150646232, 0.19189153407458906, 0.11590346994430378, 0.0979667174966178, -0.23014025350308254, 0.030546793238156372, 0.12601746312446063] |
710.1989 | Banach algebras of pseudodifferential operators and their almost
diagonalization | We define new symbol classes for pseudodifferntial operators and investigate
their pseudodifferential calculus. The symbol classes are parametrized by
commutative convolution algebras. To every solid convolution algebra over a
lattice we associate a symbol class. Then every operator with such a symbol is
almost diagonal with respect to special wave packets (coherent states or Gabor
frames), and the rate of almost diagonalization is described precisely by the
underlying convolution algebra. Furthermore, the corresponding class of
pseudodifferential operators is a Banach algebra of bounded operators on $L^2
$. If a version of Wiener's lemma holds for the underlying convolution algebra,
then the algebra of pseudodifferential operators is closed under inversion. The
theory contains as a special case the fundamental results about Sj\"ostrand's
class and yields a new proof of a theorem of Beals about the H\"ormander class
of order 0.
| math.FA math.OA | we define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus the symbol classes are parametrized by commutative convolution algebras to every solid convolution algebra over a lattice we associate a symbol class then every operator with such a symbol is almost diagonal with respect to special wave packets coherent states or gabor frames and the rate of almost diagonalization is described precisely by the underlying convolution algebra furthermore the corresponding class of pseudodifferential operators is a banach algebra of bounded operators on l2 if a version of wieners lemma holds for the underlying convolution algebra then the algebra of pseudodifferential operators is closed under inversion the theory contains as a special case the fundamental results about sjostrands class and yields a new proof of a theorem of beals about the hormander class of order 0 | [['we', 'define', 'new', 'symbol', 'classes', 'for', 'pseudodifferntial', 'operators', 'and', 'investigate', 'their', 'pseudodifferential', 'calculus', 'the', 'symbol', 'classes', 'are', 'parametrized', 'by', 'commutative', 'convolution', 'algebras', 'to', 'every', 'solid', 'convolution', 'algebra', 'over', 'a', 'lattice', 'we', 'associate', 'a', 'symbol', 'class', 'then', 'every', 'operator', 'with', 'such', 'a', 'symbol', 'is', 'almost', 'diagonal', 'with', 'respect', 'to', 'special', 'wave', 'packets', 'coherent', 'states', 'or', 'gabor', 'frames', 'and', 'the', 'rate', 'of', 'almost', 'diagonalization', 'is', 'described', 'precisely', 'by', 'the', 'underlying', 'convolution', 'algebra', 'furthermore', 'the', 'corresponding', 'class', 'of', 'pseudodifferential', 'operators', 'is', 'a', 'banach', 'algebra', 'of', 'bounded', 'operators', 'on', 'l2', 'if', 'a', 'version', 'of', 'wieners', 'lemma', 'holds', 'for', 'the', 'underlying', 'convolution', 'algebra', 'then', 'the', 'algebra', 'of', 'pseudodifferential', 'operators', 'is', 'closed', 'under', 'inversion', 'the', 'theory', 'contains', 'as', 'a', 'special', 'case', 'the', 'fundamental', 'results', 'about', 'sjostrands', 'class', 'and', 'yields', 'a', 'new', 'proof', 'of', 'a', 'theorem', 'of', 'beals', 'about', 'the', 'hormander', 'class', 'of', 'order', '0']] | [-0.15821071570077777, 0.07865657082774029, -0.047684264558272946, 0.1011053252445561, -0.1220423868364668, -0.14337017415496317, -0.010898200036667666, 0.3331011151962414, -0.369341550340903, -0.14121872730227525, 0.16258729970001656, -0.2727490318213603, -0.1566623773044515, 0.194853618840579, -0.13800982493178351, 0.027378708351929876, 0.09093457094960562, 0.1416979933940414, -0.17205251081833156, -0.18407368933970947, 0.45111777585175267, -0.018993809735073464, 0.17302134589535062, -0.00853757622889648, 0.11431995000811698, 0.062020316817865205, -0.04049588038005691, -0.07921735714594631, -0.10719510029488499, 0.12436167537437184, 0.2766593380196803, 0.06348291105266822, 0.27370932420202787, -0.35844086461482855, -0.14042772625343522, 0.15051554270304632, 0.10162030159435877, 0.016663844145470015, 0.0014891648130234926, -0.3222925129086724, 0.11888862456249046, -0.20114506511152655, -0.1352365419042526, -0.07286935839532079, 0.05909201178861701, 0.019414329155604693, -0.3345749382523523, 0.027345283247152533, 0.16038321466792538, 0.09551098740295223, -0.10996257766838306, -0.0736260095246784, -0.03178044946263612, 0.05286949265417575, -0.05407094264713427, 0.053772645018002746, 0.08996968314412684, -0.021986244325450134, -0.14849200629986878, 0.32180384001897083, -0.045435136438016714, -0.26978716550502874, 0.074073637680461, -0.18183789005590792, -0.1531414858004807, 0.05726937949151287, 0.08870857736716668, 0.1549149020642474, -0.08976436168481798, 0.19835447527319944, -0.1267499980664149, 0.12313785690787261, 0.13167586954701962, 0.09993237275225313, 0.07327201144526833, 0.08255947881337741, 0.1245564669387523, 0.14968779693404888, 0.029388654614339812, -0.06961910511313034, -0.3805745388718619, -0.18530696330160118, -0.15542973841007368, 0.126548071884853, -0.11133997986589615, -0.19843984636869552, 0.45127563681993366, 0.06146555533632636, 0.12951983049329693, 0.1368283192438168, 0.16307247906376648, 0.18568804154790047, 0.12924616686169707, 0.06988682337712658, 0.0723974956030809, 0.2789175207153017, 0.0671791335039745, -0.07770003009236594, -0.017144010969154213, 0.256210977222034] |
710.199 | Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry | We study non-compact Gepner models that preserve sixteen or eight
supercharges in type II string theories. In particular, we develop an
orbifolded Landau-Ginzburg description of these models analogous to the
Landau-Ginzburg formulation of compact Gepner models. The Landau-Ginzburg
description provides an easy and direct access to the geometry of the
singularity associated to the non-compact Gepner models. Using these tools, we
are able to give an intuitive account of the chiral rings of the models, and of
the massless moduli in particular. By studying orbifolds of the singular linear
dilaton models, we describe mirror pairs of non-compact Gepner models by
suitably adapting the Greene-Plesser construction of mirror pairs for the
compact case. For particular models, we take a large level, low curvature limit
in which we can analyze corrections to a flat space orbifold approximation of
the non-compact Gepner models. This gives rise to a counting of moduli which
differs from the toric counting in a subtle way.
| hep-th | we study noncompact gepner models that preserve sixteen or eight supercharges in type ii string theories in particular we develop an orbifolded landauginzburg description of these models analogous to the landauginzburg formulation of compact gepner models the landauginzburg description provides an easy and direct access to the geometry of the singularity associated to the noncompact gepner models using these tools we are able to give an intuitive account of the chiral rings of the models and of the massless moduli in particular by studying orbifolds of the singular linear dilaton models we describe mirror pairs of noncompact gepner models by suitably adapting the greeneplesser construction of mirror pairs for the compact case for particular models we take a large level low curvature limit in which we can analyze corrections to a flat space orbifold approximation of the noncompact gepner models this gives rise to a counting of moduli which differs from the toric counting in a subtle way | [['we', 'study', 'noncompact', 'gepner', 'models', 'that', 'preserve', 'sixteen', 'or', 'eight', 'supercharges', 'in', 'type', 'ii', 'string', 'theories', 'in', 'particular', 'we', 'develop', 'an', 'orbifolded', 'landauginzburg', 'description', 'of', 'these', 'models', 'analogous', 'to', 'the', 'landauginzburg', 'formulation', 'of', 'compact', 'gepner', 'models', 'the', 'landauginzburg', 'description', 'provides', 'an', 'easy', 'and', 'direct', 'access', 'to', 'the', 'geometry', 'of', 'the', 'singularity', 'associated', 'to', 'the', 'noncompact', 'gepner', 'models', 'using', 'these', 'tools', 'we', 'are', 'able', 'to', 'give', 'an', 'intuitive', 'account', 'of', 'the', 'chiral', 'rings', 'of', 'the', 'models', 'and', 'of', 'the', 'massless', 'moduli', 'in', 'particular', 'by', 'studying', 'orbifolds', 'of', 'the', 'singular', 'linear', 'dilaton', 'models', 'we', 'describe', 'mirror', 'pairs', 'of', 'noncompact', 'gepner', 'models', 'by', 'suitably', 'adapting', 'the', 'greeneplesser', 'construction', 'of', 'mirror', 'pairs', 'for', 'the', 'compact', 'case', 'for', 'particular', 'models', 'we', 'take', 'a', 'large', 'level', 'low', 'curvature', 'limit', 'in', 'which', 'we', 'can', 'analyze', 'corrections', 'to', 'a', 'flat', 'space', 'orbifold', 'approximation', 'of', 'the', 'noncompact', 'gepner', 'models', 'this', 'gives', 'rise', 'to', 'a', 'counting', 'of', 'moduli', 'which', 'differs', 'from', 'the', 'toric', 'counting', 'in', 'a', 'subtle', 'way']] | [-0.11606515544950019, 0.06943884110651082, -0.11294795702435548, 0.14982858984775346, -0.1043832311951968, -0.17877459691106518, -0.026114227462418472, 0.3102556668705295, -0.19499078443674725, -0.25551611324403833, 0.08403413754495898, -0.23241681872301181, -0.15759879158061185, 0.13913151497150994, -0.14233411503425222, -0.015883881805016646, -0.013624015444730514, 0.00913545466912321, -0.13698565414104658, -0.274888683472984, 0.3958146001176932, 0.006555237235572142, 0.2608166488087913, 0.03259799097476032, 0.0843265288792362, -0.001469511129079929, -0.010617002317257509, -0.006979372452751474, -0.16279176742751542, 0.18315636122428305, 0.2505263061683061, 0.03932573745038973, 0.10219451552846387, -0.4521253066774033, -0.2079231037190582, 0.1661368417966215, 0.1327381491531394, 0.17050130557875987, -0.00764910121672327, -0.2782870518806968, 0.07586712547271407, -0.17405644050339544, -0.20454590993968746, -0.11524737075772844, -0.025568335311180804, -0.02063259060341346, -0.21043738357198152, -0.010445120878505838, 0.07891989387336033, 0.054385955256846134, -0.08236864760011152, -0.057357650223671446, -0.08892156264473554, 0.07142108259280507, 0.049938301756223547, 0.002992675197052864, 0.062101784131277496, -0.18443210036611726, -0.1502224245120453, 0.37647645462663915, -0.08266521334542032, -0.218223367699811, 0.17524007450836368, -0.09875587954869659, -0.15902884434053935, 0.11972807067346206, 0.15400099697746808, 0.17575967219905764, -0.08780239920332274, 0.1816354877312883, -0.04618320745840386, 0.0845153161163937, 0.06223934799538854, -0.01383062526642616, 0.25081532313547367, 0.13764245847469975, 0.02910878266579224, 0.14540509802813914, -0.04019693923337515, -0.13099516203768458, -0.4222166571011649, -0.1285921541070993, -0.07438389819757894, 0.13702748194955808, -0.12184545632836385, -0.1959160520353272, 0.4145570140231778, 0.08565789411622513, 0.23030193175389607, 0.09309189768561127, 0.20951417583347404, 0.07551868773607796, 0.0731885730041356, 0.015951229176849505, 0.18812813848858298, 0.1647087315398068, 0.015229074240225968, -0.16623744198645737, -0.12755177231045747, 0.17550564605178667] |
710.1991 | Large spin expansion of the long-range Baxter equation in the sl(2)
sector of N=4 SYM | Recently, several multi-loop conjectures have been proposed for the spin
dependence of anomalous dimensions of twist-2 and 3 operators in the sl(2)
sector of N=4 SYM. Currently, these conjectures are not proven, although
several consistency checks have been performed on their large spin expansion.
In this paper, we show how these expansions can be efficiently computed without
resorting to any conjecture. To this aim we present in full details a method to
expand at large spin the solution of the long-range Baxter equation. We treat
the twist-2 and 3 cases at two loops and the twist-3 case at three loops.
Several subtleties arise whose resolution leads to a simple algorithm computing
the expansion.
| hep-th | recently several multiloop conjectures have been proposed for the spin dependence of anomalous dimensions of twist2 and 3 operators in the sl2 sector of n4 sym currently these conjectures are not proven although several consistency checks have been performed on their large spin expansion in this paper we show how these expansions can be efficiently computed without resorting to any conjecture to this aim we present in full details a method to expand at large spin the solution of the longrange baxter equation we treat the twist2 and 3 cases at two loops and the twist3 case at three loops several subtleties arise whose resolution leads to a simple algorithm computing the expansion | [['recently', 'several', 'multiloop', 'conjectures', 'have', 'been', 'proposed', 'for', 'the', 'spin', 'dependence', 'of', 'anomalous', 'dimensions', 'of', 'twist2', 'and', '3', 'operators', 'in', 'the', 'sl2', 'sector', 'of', 'n4', 'sym', 'currently', 'these', 'conjectures', 'are', 'not', 'proven', 'although', 'several', 'consistency', 'checks', 'have', 'been', 'performed', 'on', 'their', 'large', 'spin', 'expansion', 'in', 'this', 'paper', 'we', 'show', 'how', 'these', 'expansions', 'can', 'be', 'efficiently', 'computed', 'without', 'resorting', 'to', 'any', 'conjecture', 'to', 'this', 'aim', 'we', 'present', 'in', 'full', 'details', 'a', 'method', 'to', 'expand', 'at', 'large', 'spin', 'the', 'solution', 'of', 'the', 'longrange', 'baxter', 'equation', 'we', 'treat', 'the', 'twist2', 'and', '3', 'cases', 'at', 'two', 'loops', 'and', 'the', 'twist3', 'case', 'at', 'three', 'loops', 'several', 'subtleties', 'arise', 'whose', 'resolution', 'leads', 'to', 'a', 'simple', 'algorithm', 'computing', 'the', 'expansion']] | [-0.12452512478200406, 0.12020911734584158, -0.08168312488947954, 0.09896986834103225, -0.07502443074100379, -0.09811390353834454, -0.031530901092203516, 0.3788865694726727, -0.19232268101098923, -0.2925541204507504, 0.13310672448375221, -0.2722501709245442, -0.1545538054531918, 0.1613862778933768, 0.007112123550171346, 0.09237833342111085, 0.026770373678609596, 0.008866944410055217, -0.10689933694470509, -0.3152289460887061, 0.32006280432842604, -0.03271759767085314, 0.22627655225517476, 0.13429093525736732, 0.085958564232631, -0.023326215589732194, -0.03722422453780881, -0.0013306212365176307, -0.1006706913400532, 0.1270224445013214, 0.2508560306911843, 0.0703116415595982, 0.18174119517866488, -0.471155439660085, -0.15435833251721892, 0.07359567599420526, 0.21519677610516721, 0.16034016112871138, 0.021736589049203402, -0.23156289123946522, 0.07596911414139039, -0.22159927134789462, -0.19507936449964589, -0.16421368075081402, -0.007897918351587997, -0.0660528614604939, -0.2568573642406711, 0.054331793078938415, 0.03885048630738021, 0.05189688307587552, 0.0011789084667653109, -0.13035684881682416, 0.03517500447537915, 0.13104454269303026, 0.06264479759981674, 0.012698013941238148, 0.04749787064368086, -0.1518152447672874, -0.19681573853481857, 0.3180861666106281, -0.0015565057252162854, -0.22260504747551363, 0.17030522680482868, -0.2234265626515303, -0.23995025110208487, 0.11668005418362079, 0.13463368575063955, 0.15179309062041607, -0.16379986579768954, 0.14595900059201697, -0.03798692862181801, 0.10901226472744174, 0.1352410931511065, 0.013470920103610354, 0.1693836314339949, 0.08408156557593792, -0.008820767218733322, 0.128692932038535, -0.047090695663154394, -0.07806908277448564, -0.3080976890086864, -0.12096837595665613, -0.13817918898982812, 0.05431439528724413, -0.10803618325722565, -0.15238857852445453, 0.3843528416246769, 0.1867912543022725, 0.19264387345946996, 0.05490682382070649, 0.25916282240037636, 0.13077717440911626, 0.12657545215709845, 0.09347378226013574, 0.21142579856600646, 0.15540827602040913, 0.09537744695584463, -0.24436609144528618, -0.002159254180382838, 0.11557128712271167] |
710.1992 | Self-consistent Mean Field theory in weakly ionized media | We present a self-consistent mean field theory of the dynamo in 3D and
turbulent diffusion in 2D in weakly ionized gas. We find that in 3D, the
backreaction does not alter the beta effect while it suppresses the alpha
effect when the strength of a mean magnetic field exceeds a critical value.
These results suggest that a mean field dynamo operates much more efficiently
in weakly ionized gas compared to the fully ionized gas. Furthermore, we show
that in 2D, the turbulent diffusion is suppressed by back reaction when a mean
magnetic field reaches the same critical strength, with the upper bound on
turbulent diffusion given by its kinematic value. Astrophysical implications
are discussed.
| astro-ph | we present a selfconsistent mean field theory of the dynamo in 3d and turbulent diffusion in 2d in weakly ionized gas we find that in 3d the backreaction does not alter the beta effect while it suppresses the alpha effect when the strength of a mean magnetic field exceeds a critical value these results suggest that a mean field dynamo operates much more efficiently in weakly ionized gas compared to the fully ionized gas furthermore we show that in 2d the turbulent diffusion is suppressed by back reaction when a mean magnetic field reaches the same critical strength with the upper bound on turbulent diffusion given by its kinematic value astrophysical implications are discussed | [['we', 'present', 'a', 'selfconsistent', 'mean', 'field', 'theory', 'of', 'the', 'dynamo', 'in', '3d', 'and', 'turbulent', 'diffusion', 'in', '2d', 'in', 'weakly', 'ionized', 'gas', 'we', 'find', 'that', 'in', '3d', 'the', 'backreaction', 'does', 'not', 'alter', 'the', 'beta', 'effect', 'while', 'it', 'suppresses', 'the', 'alpha', 'effect', 'when', 'the', 'strength', 'of', 'a', 'mean', 'magnetic', 'field', 'exceeds', 'a', 'critical', 'value', 'these', 'results', 'suggest', 'that', 'a', 'mean', 'field', 'dynamo', 'operates', 'much', 'more', 'efficiently', 'in', 'weakly', 'ionized', 'gas', 'compared', 'to', 'the', 'fully', 'ionized', 'gas', 'furthermore', 'we', 'show', 'that', 'in', '2d', 'the', 'turbulent', 'diffusion', 'is', 'suppressed', 'by', 'back', 'reaction', 'when', 'a', 'mean', 'magnetic', 'field', 'reaches', 'the', 'same', 'critical', 'strength', 'with', 'the', 'upper', 'bound', 'on', 'turbulent', 'diffusion', 'given', 'by', 'its', 'kinematic', 'value', 'astrophysical', 'implications', 'are', 'discussed']] | [-0.10896651282255015, 0.2160509078183391, -0.010387258888314184, 0.07537040462321193, -0.02626956310613375, -0.07588667337570273, 0.010642133180354313, 0.3448051332757531, -0.24902136164733715, -0.2864781403914094, 0.016554667665459738, -0.23464715725889332, -0.1119142609154152, 0.20684390073936237, 0.026050826297713478, -0.021196691556772413, 0.015970931155607104, 0.049032183935898435, -0.04625139671598414, -0.21977812215979947, 0.3171126929626457, 0.08645696756675054, 0.2578578530667807, 0.06508440976929769, 0.05837367919453403, -0.08036979272953447, 0.0015812567230967577, 0.09425802380990303, -0.17822120412912276, 0.02109714235554923, 0.13517889982955367, 0.004861466345589673, 0.27586812153458595, -0.43778511076315973, -0.27331609163727416, 0.03858064776776653, 0.2217330750110641, 0.13337050017026628, -0.0718692372112153, -0.25020730689886894, 0.06196170378008678, -0.12111907939655348, -0.13132775788146414, -0.009911141636078818, 0.030369489090190382, 0.0033127825350802915, -0.3124932380630063, 0.15442881403948394, 0.044420443487500676, 0.07357941735755415, -0.11405629835095615, -0.09253366779241907, -0.05895131681800673, 0.08369793413102773, 0.053284041842919565, 0.07697409532454658, 0.24968196347502894, -0.2307613712506728, 0.006817002927786426, 0.3720274825760147, -0.15041269977544353, -0.18446541946838824, 0.17310357075021193, -0.26371806242356177, -0.09267261583897236, 0.21992908808476241, 0.15527981409410896, 0.11283349601159755, -0.08154736051725003, 0.0757518117801131, -0.07886649049990076, 0.1631073504359576, -0.02564683842080596, -0.0213449509985941, 0.2369081654438847, 0.16113550571741111, 0.06685880373901966, 0.10507621599990352, -0.15209786793045504, -0.09448293541770494, -0.25231348473977977, -0.14217850890086164, -0.149990288442687, 0.08471742940858812, -0.08648039374013917, -0.18087915447949057, 0.30694339010178256, 0.2342975576983391, 0.18238358072969213, 0.009663979187934544, 0.31092435286968556, 0.14623455806194166, 0.04461139698284106, 0.17540786718018353, 0.32584277533909733, 0.1877961907119147, 0.11424924883166361, -0.28300677186384665, 0.07392367297015562, 0.061777192735717745] |
710.1993 | A turbulent model of torque in von Karman swirling flow | A stochastic model is derived to predict the turbulent torque produced by a
swirling flow. It is a simple Langevin process, with a colored noise. Using the
unified colored noise approximation, we derive analytically the PDF of the
fluctuations of injected power in two forcing regimes: constant angular
velocity or constant applied torque. In the limit of small velocity
fluctuations and vanishing inertia, we predict that the injected power
fluctuates twice less in the case of constant torque than in the case of
constant angular velocity forcing. The model is further tested against
experimental data in a von Karman device filled with water. It is shown to
allow for a parameter-free prediction of the PDF of power fluctuations in the
case where the forcing is made at constant torque. A physical interpretation of
our model is finally given, using a quasi-linear model of turbulence.
| physics.flu-dyn cond-mat.other | a stochastic model is derived to predict the turbulent torque produced by a swirling flow it is a simple langevin process with a colored noise using the unified colored noise approximation we derive analytically the pdf of the fluctuations of injected power in two forcing regimes constant angular velocity or constant applied torque in the limit of small velocity fluctuations and vanishing inertia we predict that the injected power fluctuates twice less in the case of constant torque than in the case of constant angular velocity forcing the model is further tested against experimental data in a von karman device filled with water it is shown to allow for a parameterfree prediction of the pdf of power fluctuations in the case where the forcing is made at constant torque a physical interpretation of our model is finally given using a quasilinear model of turbulence | [['a', 'stochastic', 'model', 'is', 'derived', 'to', 'predict', 'the', 'turbulent', 'torque', 'produced', 'by', 'a', 'swirling', 'flow', 'it', 'is', 'a', 'simple', 'langevin', 'process', 'with', 'a', 'colored', 'noise', 'using', 'the', 'unified', 'colored', 'noise', 'approximation', 'we', 'derive', 'analytically', 'the', 'pdf', 'of', 'the', 'fluctuations', 'of', 'injected', 'power', 'in', 'two', 'forcing', 'regimes', 'constant', 'angular', 'velocity', 'or', 'constant', 'applied', 'torque', 'in', 'the', 'limit', 'of', 'small', 'velocity', 'fluctuations', 'and', 'vanishing', 'inertia', 'we', 'predict', 'that', 'the', 'injected', 'power', 'fluctuates', 'twice', 'less', 'in', 'the', 'case', 'of', 'constant', 'torque', 'than', 'in', 'the', 'case', 'of', 'constant', 'angular', 'velocity', 'forcing', 'the', 'model', 'is', 'further', 'tested', 'against', 'experimental', 'data', 'in', 'a', 'von', 'karman', 'device', 'filled', 'with', 'water', 'it', 'is', 'shown', 'to', 'allow', 'for', 'a', 'parameterfree', 'prediction', 'of', 'the', 'pdf', 'of', 'power', 'fluctuations', 'in', 'the', 'case', 'where', 'the', 'forcing', 'is', 'made', 'at', 'constant', 'torque', 'a', 'physical', 'interpretation', 'of', 'our', 'model', 'is', 'finally', 'given', 'using', 'a', 'quasilinear', 'model', 'of', 'turbulence']] | [-0.17083064928738168, 0.16284026896270612, -0.10284627498509104, 0.03741656985672156, -0.038345513887987986, -0.14014749226043932, 0.0035366432760686926, 0.288163245552116, -0.2897196436258835, -0.27623741102999905, 0.05215688956377562, -0.26353333379099947, -0.08347062766066908, 0.20514377156764063, -0.024949604921857826, 0.05339717512995574, 0.030576167623318423, 0.04075519375005064, 0.015199167069416339, -0.1803920910816588, 0.28216050889265415, 0.09139889068642838, 0.26720316918929005, 0.027293390966305096, 0.13851146886736387, -0.07746731100228822, -0.028893131494341005, 0.08094087112436278, -0.1632590430173574, 0.029282275862189837, 0.15213912704429175, 0.007392225903458893, 0.24241806086178663, -0.42556137529512245, -0.24386087676167437, 0.07079838304263023, 0.10407167277440345, 0.12487921829193106, -0.02530274879083865, -0.22335006398983145, 0.06146609069158634, -0.2277509149345052, -0.1554687768802978, -0.05328665001434274, 0.06099323222103218, 0.03870948264537017, -0.32861603116422583, 0.15296655631229644, 0.08296914181887081, 0.052777106770210795, -0.07332936788508151, -0.0874918633683895, -0.046446491600363515, 0.07631268388003162, 0.059095292365757106, 0.034672899566228606, 0.1692851872487356, -0.16962509626561464, -0.04480069602626221, 0.38422862090454957, -0.14567399900271186, -0.272172859740547, 0.10730920421742161, -0.1788857954120936, -0.05633299482158489, 0.12735454313547556, 0.1628101723957419, 0.07599427807791573, -0.11117226774998319, 0.043892185151586695, -0.044112044418903276, 0.1843124246224761, 0.055843244646287836, -0.05778230512967437, 0.2002154200971644, 0.18445293980443644, 0.05101480502829266, 0.15447243394252533, -0.12850316583272717, -0.11502765005328304, -0.29326134780341007, -0.08445283648971882, -0.21933410712517798, 0.06936002537178057, -0.09390306609879594, -0.1477274494219374, 0.37988622365648755, 0.17485268921720692, 0.1999890545460706, 0.08398306545212916, 0.3705173859036424, 0.16163881404160443, 0.03245233888931883, 0.11611544227020608, 0.2671283864312702, 0.17491661329242764, 0.12330030330405053, -0.21927271448981223, 0.07236229589842777, 0.02142785637665333] |
710.1994 | Metric Dichotomies | These are notes from talks given at ICMS, Edinburgh, 4/2007 ("Geometry and
Algorithms workshop") and at Bernoulli Center, Lausanne 5/2007 ("Limits of
graphs in group theory and computer science"). We survey the following type of
dichotomies exhibited by certain classes X of finite metric spaces: For every
host space H, either all metrics in X embed almost isometrically in H, or the
distortion of embedding some metrics of X in H is unbounded.
| math.MG | these are notes from talks given at icms edinburgh 42007 geometry and algorithms workshop and at bernoulli center lausanne 52007 limits of graphs in group theory and computer science we survey the following type of dichotomies exhibited by certain classes x of finite metric spaces for every host space h either all metrics in x embed almost isometrically in h or the distortion of embedding some metrics of x in h is unbounded | [['these', 'are', 'notes', 'from', 'talks', 'given', 'at', 'icms', 'edinburgh', '42007', 'geometry', 'and', 'algorithms', 'workshop', 'and', 'at', 'bernoulli', 'center', 'lausanne', '52007', 'limits', 'of', 'graphs', 'in', 'group', 'theory', 'and', 'computer', 'science', 'we', 'survey', 'the', 'following', 'type', 'of', 'dichotomies', 'exhibited', 'by', 'certain', 'classes', 'x', 'of', 'finite', 'metric', 'spaces', 'for', 'every', 'host', 'space', 'h', 'either', 'all', 'metrics', 'in', 'x', 'embed', 'almost', 'isometrically', 'in', 'h', 'or', 'the', 'distortion', 'of', 'embedding', 'some', 'metrics', 'of', 'x', 'in', 'h', 'is', 'unbounded']] | [-0.11756021373341201, 0.10675542060823613, -0.044730703628451475, 0.037076915058464756, -0.058964161877848316, -0.15386897879718264, 0.02131943113964156, 0.4117820711780182, -0.2718276684795519, -0.30092482827603817, 0.15838877810821148, -0.3304905154361901, -0.11991949931679058, 0.19000548518813726, -0.13418467348756294, -0.03320793137216652, 0.05726553672190073, 0.08692933689855353, -0.09761302957547383, -0.36330667933003163, 0.352747540783242, -0.027164656800073638, 0.23325248293473688, 0.027538935555486192, 0.095661675996921, -0.007577815955557244, -0.07367720674644683, 0.05099929347724497, -0.18178076925359563, 0.1156628027486182, 0.324879769393256, 0.1547742949300249, 0.26600401397322265, -0.3328985395282999, -0.17636971785621325, 0.13818463356509594, 0.06819849176017541, -0.01693715342700901, -0.0036292468053354342, -0.32555519254274773, 0.08331891954023864, -0.10172291577491961, -0.06809123494649227, 0.018553010581559698, 0.08006383409120248, 0.04627783919855113, -0.16483237287423141, -0.008217306030441967, 0.11610437806328418, 0.11454366424291486, -0.0654376278226395, -0.12602022193818235, -0.05611033968522515, 0.10645299103424817, -0.029890116714072268, 0.0908503206577939, 0.09160231262310999, -0.07901036841991607, -0.13882557671307258, 0.3887242541097524, -0.04274664904502496, -0.1283005403590874, 0.1366326880549461, -0.19540381916260846, -0.22360835307028512, 0.10701283267010528, 0.2166741101733658, 0.12237661442404586, -0.07221510353117762, 0.22703441284665785, -0.023275417917855673, 0.09487546488485286, 0.11749127499995307, 0.023576901228704924, 0.14855779433117944, 0.07616136690050783, 0.07104731509199655, 0.09178508263291188, 0.02697734408815142, -0.018239254691854487, -0.3840690236800993, -0.14561912770265004, -0.13649616084343583, 0.08245588681647475, -0.11291740191907747, -0.16587563331278277, 0.3080531848450257, 0.030914446394759376, 0.15417840010748887, 0.01868694469752446, 0.13956002649706853, -0.013167112395101765, 0.01280867177206026, 0.13209303529460875, 0.11951545989149066, 0.15930718161546115, 0.0538995655279764, -0.03242342065508202, -0.0025433128417640086, 0.17805574472639446] |
710.1995 | Influence of corruption on economic growth rate and foreign investments | In order to investigate whether government regulations against corruption can
affect the economic growth of a country, we analyze the dependence between
Gross Domestic Product (GDP) per capita growth rates and changes in the
Corruption Perceptions Index (CPI). For the period 1999-2004 on average for all
countries in the world, we find that an increase of CPI by one unit leads to an
increase of the annual GDP per capita by 1.7 %. By regressing only European
transition countries, we find that $\Delta$CPI = 1 generates increase of the
annual GDP per capita by 2.4 %. We also analyze the relation between foreign
direct investments received by different countries and CPI, and we find a
statistically significant power-law functional dependence between foreign
direct investment per capita and the country corruption level measured by the
CPI. We introduce a new measure to quantify the relative corruption between
countries based on their respective wealth as measured by GDP per capita.
| q-fin.GN physics.data-an physics.soc-ph | in order to investigate whether government regulations against corruption can affect the economic growth of a country we analyze the dependence between gross domestic product gdp per capita growth rates and changes in the corruption perceptions index cpi for the period 19992004 on average for all countries in the world we find that an increase of cpi by one unit leads to an increase of the annual gdp per capita by 17 by regressing only european transition countries we find that deltacpi 1 generates increase of the annual gdp per capita by 24 we also analyze the relation between foreign direct investments received by different countries and cpi and we find a statistically significant powerlaw functional dependence between foreign direct investment per capita and the country corruption level measured by the cpi we introduce a new measure to quantify the relative corruption between countries based on their respective wealth as measured by gdp per capita | [['in', 'order', 'to', 'investigate', 'whether', 'government', 'regulations', 'against', 'corruption', 'can', 'affect', 'the', 'economic', 'growth', 'of', 'a', 'country', 'we', 'analyze', 'the', 'dependence', 'between', 'gross', 'domestic', 'product', 'gdp', 'per', 'capita', 'growth', 'rates', 'and', 'changes', 'in', 'the', 'corruption', 'perceptions', 'index', 'cpi', 'for', 'the', 'period', '19992004', 'on', 'average', 'for', 'all', 'countries', 'in', 'the', 'world', 'we', 'find', 'that', 'an', 'increase', 'of', 'cpi', 'by', 'one', 'unit', 'leads', 'to', 'an', 'increase', 'of', 'the', 'annual', 'gdp', 'per', 'capita', 'by', '17', 'by', 'regressing', 'only', 'european', 'transition', 'countries', 'we', 'find', 'that', 'deltacpi', '1', 'generates', 'increase', 'of', 'the', 'annual', 'gdp', 'per', 'capita', 'by', '24', 'we', 'also', 'analyze', 'the', 'relation', 'between', 'foreign', 'direct', 'investments', 'received', 'by', 'different', 'countries', 'and', 'cpi', 'and', 'we', 'find', 'a', 'statistically', 'significant', 'powerlaw', 'functional', 'dependence', 'between', 'foreign', 'direct', 'investment', 'per', 'capita', 'and', 'the', 'country', 'corruption', 'level', 'measured', 'by', 'the', 'cpi', 'we', 'introduce', 'a', 'new', 'measure', 'to', 'quantify', 'the', 'relative', 'corruption', 'between', 'countries', 'based', 'on', 'their', 'respective', 'wealth', 'as', 'measured', 'by', 'gdp', 'per', 'capita']] | [-0.06089941049357513, 0.12025862859199943, -0.008822450257063685, 0.1287623191276541, 0.0192624713012997, -0.06872647375400577, 0.17715653828451072, 0.3291956284446279, -0.24341208688527732, -0.3557464086281305, 0.07709709405611789, -0.3573662372027802, -0.13995944694676377, 0.18680535611853777, -0.15535436840629652, -0.05839996517623787, -0.00023527674198561867, 0.045198780242595576, -0.005404359682209112, -0.347215572062142, 0.24568645387597673, 0.08807130221749185, 0.35285785617064924, 0.08019703181911042, 0.10262167026808897, -0.010017325300360461, -0.09900107423418848, -0.04177453733569422, -0.12950387458340037, 0.2050736124757031, 0.2513870970019466, 0.18639681529398863, 0.3908431131223386, -0.4433379354705284, -0.12059048609656899, 0.14519410352555237, 0.02299397906240124, -0.019162772067628994, 0.01789200525389162, -0.22542891031971757, 0.018571293574165215, -0.32802416599512874, -0.07377843183537873, -0.05346294182848621, 0.11353215481481188, 0.04372616999634457, -0.23784581003347774, 0.18336104143954446, -0.09268704071381491, 0.13150194272785992, -0.0731380148397686, -0.09076376660279446, -0.13505467188290574, 0.21534788880974218, 0.13880916880957733, -0.024813743216528364, 0.18768178537947597, -0.05986547733765918, -0.1762367207556963, 0.31920828528145884, -0.13156775686838482, -0.12393003779572326, 0.08655290414923923, -0.2611383482384459, -0.08311706837629537, 0.06212742813385104, 0.2601762454436681, -0.06023379293113173, -0.11572598918537079, -0.024681956381778922, -0.004980193045861148, 0.27189233845293326, 0.14086653419782397, -0.03406925818598648, 0.18122468418260287, 0.13470355207070273, 0.10665318022887282, 0.10025945971508256, -0.0993204225616699, -0.14595839484631049, -0.22414733042529264, -0.17653395500572325, -0.12111708278429102, 0.045362032591607176, -0.15972944048260546, -0.1019661525149479, 0.4128086669007679, 0.07649055320176888, 0.15529902790999645, 0.06537753974946288, 0.25145516562118353, 0.10785438956967978, 0.07946155356236072, 0.06664525855078617, 0.2095329235096208, 0.009572313214023295, 0.1791748143006842, -0.1924117623810209, 0.21728257379530894, -0.01683481903625773] |
710.1996 | Radius stabilization in 5D SUGRA models on orbifold | We study a four-dimensional effective theory of the five-dimensional (5D)
gauged supergravity with a universal hypermultiplet and perturbative
superpotential terms at the orbifold fixed points. The class of models we
consider includes the 5D heterotic M-theory and the supersymmetric
Randall-Sundrum model as special limits of the gauging parameters. We analyse
the vacuum structure of the models, especially the nature of the moduli
stabilization, from the viewpoint of the effective theory.
| hep-th hep-ph | we study a fourdimensional effective theory of the fivedimensional 5d gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points the class of models we consider includes the 5d heterotic mtheory and the supersymmetric randallsundrum model as special limits of the gauging parameters we analyse the vacuum structure of the models especially the nature of the moduli stabilization from the viewpoint of the effective theory | [['we', 'study', 'a', 'fourdimensional', 'effective', 'theory', 'of', 'the', 'fivedimensional', '5d', 'gauged', 'supergravity', 'with', 'a', 'universal', 'hypermultiplet', 'and', 'perturbative', 'superpotential', 'terms', 'at', 'the', 'orbifold', 'fixed', 'points', 'the', 'class', 'of', 'models', 'we', 'consider', 'includes', 'the', '5d', 'heterotic', 'mtheory', 'and', 'the', 'supersymmetric', 'randallsundrum', 'model', 'as', 'special', 'limits', 'of', 'the', 'gauging', 'parameters', 'we', 'analyse', 'the', 'vacuum', 'structure', 'of', 'the', 'models', 'especially', 'the', 'nature', 'of', 'the', 'moduli', 'stabilization', 'from', 'the', 'viewpoint', 'of', 'the', 'effective', 'theory']] | [-0.12429367756204945, 0.11791834659608347, -0.007552551963765706, 0.1289581895273711, -0.08423489093173495, -0.1472089202409344, 0.010799360524729958, 0.2294706974910306, -0.15027832541880862, -0.2653655205055007, 0.0792330211361072, -0.25468577613854515, -0.19328981273408447, 0.06960995194302606, -0.09327087246679834, 0.02962775334183659, -0.052023267799190115, 0.03246734822834177, -0.1674567283563582, -0.25144790003874473, 0.40417350557233606, 0.019646709349243403, 0.287729308301849, 0.013848941350754882, 0.14199076427945068, -0.0301001832620906, 0.03510031624963241, -0.023097935624952826, -0.15758468963737998, 0.19556542237156205, 0.2153898319874965, 0.039539905557675024, 0.0569463499721938, -0.40691299811005593, -0.25553460352654966, 0.11381482199898788, 0.14403604522646804, 0.2062653916754893, 0.018434827575193984, -0.2860133188776672, 0.04344681341733251, -0.20051114573808654, -0.1707902887441118, -0.06772314068595213, -0.04989138922787138, -0.1458584345777386, -0.2367219453519543, 0.030178271668929873, -0.03287373139922108, 0.04632940640939134, -0.11088398560282907, -0.07345048888652984, -0.1424303593213803, 0.06002447775432042, 0.1908174037617365, 0.01873846744253699, 0.12768668800459376, -0.25477396815050657, -0.1488646780273744, 0.4097539883373039, -0.10302071943879128, -0.2206648381593238, 0.1207772254012525, -0.09881513354235462, -0.1615316110729639, 0.051418989452732995, 0.13835861669254623, 0.24890322451080596, -0.08478941849649085, 0.3572043466764236, -0.04136682251202209, 0.1074037857436841, 0.035615178077880824, 0.0641599977388978, 0.271821196084576, 0.1798327968522374, -0.016925125270583003, 0.1476587445342115, -0.021309338816042456, -0.14141283937330756, -0.5130178613322122, -0.10143247208158884, -0.06302621367254428, 0.13779052506600106, -0.2144957573747628, -0.1954723987063127, 0.4434902833508594, 0.08909948602584856, 0.19427048655093782, 0.07732592202456934, 0.17025941980204412, 0.08911849721833798, 0.039136430301836556, -0.005022975010797381, 0.29063993063090104, 0.12941800748397198, 0.060351341124624015, -0.27156622149382853, -0.1908562799649579, 0.24047105832557594] |
710.1997 | Roles of Higgs decay into two pseudoscalar bosons in the search of
intermediate-mass Higgs Boson | The dominance of $h\to \eta \eta$ decay mode for the intermediate mass Higgs
boson is highly motivated to solve the little hierarchy problem and to ease the
tension with the precision data. However, the discovery modes for $m_h \alt
150$ GeV, $h \to \gamma\gamma$ and $W/Z h \to (\ell\nu/\ell \bar \ell) (b\bar
b)$, will be substantially affected. We show that $h \to \eta \eta \to 4b$ is
complementary and we can use this decay mode to detect the intermediate Higgs
boson at the LHC, via $Wh$ and $Zh$ production. Requiring at least one charged
lepton and 4 $B$-tags in the final state, we can identify a clean Higgs boson
signal for $m_h \alt 150$ GeV with a high significance and with a full Higgs
mass reconstruction. We use the next-to-minimal supersymmetric standard model
and the simplest little Higgs model for illustration.
| hep-ph | the dominance of hto eta eta decay mode for the intermediate mass higgs boson is highly motivated to solve the little hierarchy problem and to ease the tension with the precision data however the discovery modes for m_h alt 150 gev h to gammagamma and wz h to ellnuell bar ell bbar b will be substantially affected we show that h to eta eta to 4b is complementary and we can use this decay mode to detect the intermediate higgs boson at the lhc via wh and zh production requiring at least one charged lepton and 4 btags in the final state we can identify a clean higgs boson signal for m_h alt 150 gev with a high significance and with a full higgs mass reconstruction we use the nexttominimal supersymmetric standard model and the simplest little higgs model for illustration | [['the', 'dominance', 'of', 'hto', 'eta', 'eta', 'decay', 'mode', 'for', 'the', 'intermediate', 'mass', 'higgs', 'boson', 'is', 'highly', 'motivated', 'to', 'solve', 'the', 'little', 'hierarchy', 'problem', 'and', 'to', 'ease', 'the', 'tension', 'with', 'the', 'precision', 'data', 'however', 'the', 'discovery', 'modes', 'for', 'm_h', 'alt', '150', 'gev', 'h', 'to', 'gammagamma', 'and', 'wz', 'h', 'to', 'ellnuell', 'bar', 'ell', 'bbar', 'b', 'will', 'be', 'substantially', 'affected', 'we', 'show', 'that', 'h', 'to', 'eta', 'eta', 'to', '4b', 'is', 'complementary', 'and', 'we', 'can', 'use', 'this', 'decay', 'mode', 'to', 'detect', 'the', 'intermediate', 'higgs', 'boson', 'at', 'the', 'lhc', 'via', 'wh', 'and', 'zh', 'production', 'requiring', 'at', 'least', 'one', 'charged', 'lepton', 'and', '4', 'btags', 'in', 'the', 'final', 'state', 'we', 'can', 'identify', 'a', 'clean', 'higgs', 'boson', 'signal', 'for', 'm_h', 'alt', '150', 'gev', 'with', 'a', 'high', 'significance', 'and', 'with', 'a', 'full', 'higgs', 'mass', 'reconstruction', 'we', 'use', 'the', 'nexttominimal', 'supersymmetric', 'standard', 'model', 'and', 'the', 'simplest', 'little', 'higgs', 'model', 'for', 'illustration']] | [-0.045269886103467015, 0.239158027346379, -0.012760095105373433, 0.1725617165053596, -0.11273944417812995, -0.22674699749997151, 0.06210531523018809, 0.3339009735201086, -0.24244018208701162, -0.29702578515612654, 0.030743413349513762, -0.2804986846200856, 0.03877863349126918, 0.14615101096652713, 0.05190585537680558, 0.09353156639263034, 0.12601528570189008, 0.032042851887776384, -0.03931338540444683, -0.24708505967947922, 0.24593213326962932, 0.05649289388342627, 0.1565189884568099, 0.08151454285419146, 0.03741275710136896, 0.0530569150761169, -0.014756280366522592, -0.13016198546226534, -0.17954801090220696, 0.055562228612169355, 0.18016611341653124, 0.0805720830136644, 0.1346535543778113, -0.22964836613807296, -0.07640472600303058, 0.21164990232459135, 0.2187141931682293, 0.06995230079295912, -0.03908785282900291, -0.31842626059161766, 0.18657668164066438, -0.22546298925465505, -0.0733822602446058, -0.02315901629127828, -0.009713116753846406, -0.17740084909850598, -0.3746655764723463, 0.1232840921596757, -0.08499021033057944, 0.006705359900037625, 0.030027486751454748, -0.18755694177733467, -0.10021227282205862, -0.02831936143006065, 0.1634426976387788, 0.08305173333335136, 0.17730569152959755, -0.21502263628312254, -0.15312643465419698, 0.3666860311092543, -0.1222050264876868, -0.18180900978955572, 0.2323576636013708, -0.19749782722709433, -0.1707323132282389, 0.16688452509364912, 0.22462028967066935, 0.04430744279442089, -0.1328597786370665, 0.18186410273400336, 0.010804655688947866, 0.17828291505408872, 0.06668034136361842, 0.029217201298368828, 0.2118407359473557, 0.20166506191183414, 0.0017037382681987115, 0.05637157251559464, -0.13847111719826768, -0.011366725809473012, -0.39192139067287957, -0.19960179615632764, -0.010009924124044898, 0.06967696285407458, -0.050385510096696506, -0.04519282402387554, 0.36090081289543635, 0.08088361588971955, 0.31231650645578546, 0.03297368248625259, 0.2770177540635424, 0.10771771609184465, 0.08225284233838985, 0.04714305104155626, 0.35310539484822323, 0.17468326314618546, 0.1339092893659004, -0.20579360132687724, -0.04721790036585714, 0.03224825427667903] |
710.1998 | Entropy radiated by a braneworld black hole | The concept of black hole entropy is one of the most important enigmas of
theoretical physics. It relates thermodynamics to gravity and allows
substantial hints toward a quantum theory of gravitation. Although Bekenstein
conjecture -assuming the black hole entropy to be a measure of the number of
precollapse configurations- has proved to be extremely fruitful, a direct and
conclusive proof is still missing. This article computes accurately the entropy
evaporated by black holes in (4+n) dimensions taking into account the exact
greybody factors. This is a key process to constrain and understand the entropy
of black holes as the final state is unambiguously defined. Those results allow
to generalize Zurek's important argument, in favor of the Bekenstein
conjecture, to multi-dimensional scenarios.
| hep-th astro-ph gr-qc hep-ph | the concept of black hole entropy is one of the most important enigmas of theoretical physics it relates thermodynamics to gravity and allows substantial hints toward a quantum theory of gravitation although bekenstein conjecture assuming the black hole entropy to be a measure of the number of precollapse configurations has proved to be extremely fruitful a direct and conclusive proof is still missing this article computes accurately the entropy evaporated by black holes in 4n dimensions taking into account the exact greybody factors this is a key process to constrain and understand the entropy of black holes as the final state is unambiguously defined those results allow to generalize zureks important argument in favor of the bekenstein conjecture to multidimensional scenarios | [['the', 'concept', 'of', 'black', 'hole', 'entropy', 'is', 'one', 'of', 'the', 'most', 'important', 'enigmas', 'of', 'theoretical', 'physics', 'it', 'relates', 'thermodynamics', 'to', 'gravity', 'and', 'allows', 'substantial', 'hints', 'toward', 'a', 'quantum', 'theory', 'of', 'gravitation', 'although', 'bekenstein', 'conjecture', 'assuming', 'the', 'black', 'hole', 'entropy', 'to', 'be', 'a', 'measure', 'of', 'the', 'number', 'of', 'precollapse', 'configurations', 'has', 'proved', 'to', 'be', 'extremely', 'fruitful', 'a', 'direct', 'and', 'conclusive', 'proof', 'is', 'still', 'missing', 'this', 'article', 'computes', 'accurately', 'the', 'entropy', 'evaporated', 'by', 'black', 'holes', 'in', '4n', 'dimensions', 'taking', 'into', 'account', 'the', 'exact', 'greybody', 'factors', 'this', 'is', 'a', 'key', 'process', 'to', 'constrain', 'and', 'understand', 'the', 'entropy', 'of', 'black', 'holes', 'as', 'the', 'final', 'state', 'is', 'unambiguously', 'defined', 'those', 'results', 'allow', 'to', 'generalize', 'zureks', 'important', 'argument', 'in', 'favor', 'of', 'the', 'bekenstein', 'conjecture', 'to', 'multidimensional', 'scenarios']] | [-0.1158597066859938, 0.10491320964772531, -0.14240468849143215, 0.16749714082547415, -0.08246435483240268, -0.1793292105228694, 0.04639811951701706, 0.21812006587947697, -0.186388507636441, -0.32315789810420315, 0.0628001003252912, -0.2836545185006295, -0.08602286638184027, 0.1919844981883306, -0.09292439100417224, 0.054345530170123744, 0.007918110840823039, 0.01983084632968915, -0.030552417457426997, -0.2527733378897398, 0.3433018834176204, 0.1217217516059764, 0.22901809255954278, 0.10351313016000242, 0.08413125507625913, -0.02123307814140427, -0.028821994134894578, 0.03877291225728171, -0.1695553169870549, 0.10652470092860643, 0.2528481866956558, 0.1604673771056816, 0.24974056743547196, -0.40502322098809823, -0.2427203739100436, 0.0824163178509209, 0.1308241276020446, 0.17089427174030503, -0.055474468529963294, -0.23549024242723038, 0.08285566209887602, -0.22396820138616502, -0.17814839682503303, -0.064099879640016, 0.06410822259600867, -0.09728169903228413, -0.20806286915798078, 0.1062524322658962, 0.1084237042602829, -0.09005068628933312, -0.07650394674461751, -0.062331799346538, -0.024072097348865153, 0.11994206661758713, 0.13111717564853348, 0.057640020793288456, 0.14577199263721397, -0.07541950825555635, -0.12954269428083226, 0.3534205832002946, -0.0024734811630284736, -0.15985510151925658, 0.1721394039605829, -0.20750552871118277, -0.16522124255737983, 0.1031834529020077, 0.11808080573697105, 0.149649561713796, -0.136731108596687, 0.10370418974554382, -0.028014011496354727, 0.17849975341376811, 0.08438325673341751, 0.06355616234989514, 0.3591707879215602, 0.12812151779297523, 0.007200035235790675, 0.1634597352490383, -0.008086548881482117, -0.13164645675877648, -0.2754020107475163, -0.22445143356222721, -0.20076683810565712, 0.12582056603994807, -0.12352925245224379, -0.14340085125612942, 0.3069327032455236, 0.13785433881504322, 0.17606154549866915, 0.0002678488650597817, 0.26268765162841334, 0.09807871255065384, 0.03518223578268123, 0.0625124865111487, 0.30851476509431913, 0.2077071143425847, 0.09598489495392115, -0.19278703105043282, 0.0642081347856024, 0.12766360494977802] |
710.1999 | Non Linear Gauge Fixing for FeynArts | We review the non-linear gauge-fixing for the Standard Model, proposed by F.
Boudjema and E. Chopin, and present our implementation of this non-linear
gauge-fixing to the Standard Model and to the minimal supersymmetric Standard
Model in FeynArts.
| hep-ph | we review the nonlinear gaugefixing for the standard model proposed by f boudjema and e chopin and present our implementation of this nonlinear gaugefixing to the standard model and to the minimal supersymmetric standard model in feynarts | [['we', 'review', 'the', 'nonlinear', 'gaugefixing', 'for', 'the', 'standard', 'model', 'proposed', 'by', 'f', 'boudjema', 'and', 'e', 'chopin', 'and', 'present', 'our', 'implementation', 'of', 'this', 'nonlinear', 'gaugefixing', 'to', 'the', 'standard', 'model', 'and', 'to', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'in', 'feynarts']] | [-0.023076428048726585, 0.03415719583992743, -0.014317021963910924, 0.0449941705155652, -0.07511704394386874, -0.16902998741716146, 0.017063869803678244, 0.315430511888634, -0.23339568727209958, -0.317694617021415, 0.06548877782511732, -0.22836881544854906, -0.15669916477054358, 0.13387536415959606, -0.08399695908236834, 0.13156939085779917, 0.04836948415161007, -0.013330033773349391, -0.0522175764458047, -0.24142222949821088, 0.2560070188353873, 0.04843906222635673, 0.220065283201014, 0.015381314377817843, 0.12320041499980208, 0.06046024593524635, -0.054729060606203146, -0.06147978465176291, -0.14865055651817885, 0.15689140457349518, 0.16020001543478835, 0.14300303528499272, 0.19805622928672367, -0.40926464688446784, -0.23769420832912955, 0.1043765470579577, 0.06880292198103335, 0.09207121601017813, -0.010115458604155315, -0.2994179960547222, 0.07094147170007797, -0.21034891147994333, -0.08011967811681744, -0.13250148818931645, -0.02001230015108983, -0.09382474577675264, -0.3093811562284827, 0.07138537594841586, 0.051702513488837414, -0.0038693666251169313, -0.0066538775701903636, -0.1160066665809912, -0.04733695857511419, -0.03032649655102028, 0.09536126544763748, 0.06889606445717315, 0.07594499914234297, -0.1535217205592845, -0.13677606938613784, 0.4003748202489482, -0.1510668688764175, -0.2537625011625803, 0.1610811666986491, -0.06783692069196452, -0.1320365579126196, 0.025749455102615885, 0.15642924110094705, 0.10990569607302961, -0.20969094747367004, 0.22915438496177862, -0.034588294031790506, 0.14528947758177915, -0.024974509245819516, -0.049443885373572506, 0.10261168921877267, 0.1880617143275837, -0.045769432895920344, 0.10124014587038094, -0.025149050996535353, -0.12433936519341336, -0.4710699901398685, -0.13849063776433468, -0.05509530589915812, 0.010082612810139027, -0.06989192266620295, -0.1827474923597442, 0.5061157573428419, 0.26077732392069364, 0.13681817654934195, 0.11376106700239082, 0.30095335587652194, 0.10606232892476125, 0.07154999828586976, 0.04445269354619086, 0.23126952431630343, 0.08475349989021197, 0.06487189579962029, -0.2354122121921844, -0.08538781477707541, 0.13433569853401017] |
710.2 | Atomic Hydrogen Properties of AGN Host Galaxies: HI in 16 NUclei of
GAlaxies (NUGA) Sources | We present a comprehensive spectroscopic imaging survey of the distribution
and kinematics of atomic hydrogen (HI) in 16 nearby spiral galaxies hosting low
luminosity AGN, observed with high spectral and spatial resolution (resolution:
~20 arcsec, 5 km/s) using the NRAO Very Large Array (VLA). The sample contains
a range of nuclear types, ranging from Seyfert to star-forming nuclei and was
originally selected for the NUclei of GAlaxies project (NUGA) - a spectrally
and spatially resolved interferometric survey of gas dynamics in nearby
galaxies designed to identify the fueling mechanisms of AGN and the relation to
host galaxy evolution. Here we investigate the relationship between the HI
properties of these galaxies, their environment, their stellar distribution and
their AGN type. The large-scale HI morphology of each galaxy is classified as
ringed, spiral, or centrally concentrated; comparison of the resulting
morphological classification with AGN type reveals that ring structures are
significantly more common in LINER than in Seyfert host galaxies, suggesting a
time evolution of the AGN activity together with the redistribution of the
neutral gas. Dynamically disturbed HI disks are also more prevalent in LINER
host galaxies than in Seyfert host galaxies. While several galaxies are
surrounded by companions (some with associated HI emission), there is no
correlation between the presence of companions and the AGN type
(Seyfert/LINER).
| astro-ph | we present a comprehensive spectroscopic imaging survey of the distribution and kinematics of atomic hydrogen hi in 16 nearby spiral galaxies hosting low luminosity agn observed with high spectral and spatial resolution resolution 20 arcsec 5 kms using the nrao very large array vla the sample contains a range of nuclear types ranging from seyfert to starforming nuclei and was originally selected for the nuclei of galaxies project nuga a spectrally and spatially resolved interferometric survey of gas dynamics in nearby galaxies designed to identify the fueling mechanisms of agn and the relation to host galaxy evolution here we investigate the relationship between the hi properties of these galaxies their environment their stellar distribution and their agn type the largescale hi morphology of each galaxy is classified as ringed spiral or centrally concentrated comparison of the resulting morphological classification with agn type reveals that ring structures are significantly more common in liner than in seyfert host galaxies suggesting a time evolution of the agn activity together with the redistribution of the neutral gas dynamically disturbed hi disks are also more prevalent in liner host galaxies than in seyfert host galaxies while several galaxies are surrounded by companions some with associated hi emission there is no correlation between the presence of companions and the agn type seyfertliner | [['we', 'present', 'a', 'comprehensive', 'spectroscopic', 'imaging', 'survey', 'of', 'the', 'distribution', 'and', 'kinematics', 'of', 'atomic', 'hydrogen', 'hi', 'in', '16', 'nearby', 'spiral', 'galaxies', 'hosting', 'low', 'luminosity', 'agn', 'observed', 'with', 'high', 'spectral', 'and', 'spatial', 'resolution', 'resolution', '20', 'arcsec', '5', 'kms', 'using', 'the', 'nrao', 'very', 'large', 'array', 'vla', 'the', 'sample', 'contains', 'a', 'range', 'of', 'nuclear', 'types', 'ranging', 'from', 'seyfert', 'to', 'starforming', 'nuclei', 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'evolution', 'of', 'the', 'agn', 'activity', 'together', 'with', 'the', 'redistribution', 'of', 'the', 'neutral', 'gas', 'dynamically', 'disturbed', 'hi', 'disks', 'are', 'also', 'more', 'prevalent', 'in', 'liner', 'host', 'galaxies', 'than', 'in', 'seyfert', 'host', 'galaxies', 'while', 'several', 'galaxies', 'are', 'surrounded', 'by', 'companions', 'some', 'with', 'associated', 'hi', 'emission', 'there', 'is', 'no', 'correlation', 'between', 'the', 'presence', 'of', 'companions', 'and', 'the', 'agn', 'type', 'seyfertliner']] | [-0.046579251892075665, 0.03542258580300431, -0.028836833263523185, 0.12312593510392213, -0.09351627497515572, -0.064515717055959, 0.005016294690668238, 0.5095858591354314, -0.09226934918357681, -0.3354090410112231, 0.04091691990766709, -0.2962738468699239, -0.011215371229843219, 0.15286103498941953, 0.019165616467405385, -0.07486477467157077, -0.012682729836173908, -0.1906372640180591, -0.03956999916193093, -0.27560053829371034, 0.3413222779722505, 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710.2001 | Time evolution and decoherence of a spin-1/2 particle coupled to a spin
bath in thermal equilibrium | The time evolution of a spin-1/2 particle under the influence of a locally
applied external magnetic field, and interacting with anisotropic spin
environment in thermal equilibrium at temperature $T$ is studied. The exact
analytical form of the reduced density matrix of the central spin is calculated
explicitly for finite number of bath spins. The case of an infinite number of
environmental spins is investigated using the convergence of the rescaled bath
operators to normal Gaussian random variables. In this limit, we derive the
analytical form of the components of the Bloch vector for antiferromagnetic
interactions within the bath, and we investigate the short-time and long-time
behavior of reduced dynamics. The effect of the external magnetic field, the
anisotropy and the temperature of the bath on the decoherence of the central
spin is discussed.
| quant-ph | the time evolution of a spin12 particle under the influence of a locally applied external magnetic field and interacting with anisotropic spin environment in thermal equilibrium at temperature t is studied the exact analytical form of the reduced density matrix of the central spin is calculated explicitly for finite number of bath spins the case of an infinite number of environmental spins is investigated using the convergence of the rescaled bath operators to normal gaussian random variables in this limit we derive the analytical form of the components of the bloch vector for antiferromagnetic interactions within the bath and we investigate the shorttime and longtime behavior of reduced dynamics the effect of the external magnetic field the anisotropy and the temperature of the bath on the decoherence of the central spin is discussed | [['the', 'time', 'evolution', 'of', 'a', 'spin12', 'particle', 'under', 'the', 'influence', 'of', 'a', 'locally', 'applied', 'external', 'magnetic', 'field', 'and', 'interacting', 'with', 'anisotropic', 'spin', 'environment', 'in', 'thermal', 'equilibrium', 'at', 'temperature', 't', 'is', 'studied', 'the', 'exact', 'analytical', 'form', 'of', 'the', 'reduced', 'density', 'matrix', 'of', 'the', 'central', 'spin', 'is', 'calculated', 'explicitly', 'for', 'finite', 'number', 'of', 'bath', 'spins', 'the', 'case', 'of', 'an', 'infinite', 'number', 'of', 'environmental', 'spins', 'is', 'investigated', 'using', 'the', 'convergence', 'of', 'the', 'rescaled', 'bath', 'operators', 'to', 'normal', 'gaussian', 'random', 'variables', 'in', 'this', 'limit', 'we', 'derive', 'the', 'analytical', 'form', 'of', 'the', 'components', 'of', 'the', 'bloch', 'vector', 'for', 'antiferromagnetic', 'interactions', 'within', 'the', 'bath', 'and', 'we', 'investigate', 'the', 'shorttime', 'and', 'longtime', 'behavior', 'of', 'reduced', 'dynamics', 'the', 'effect', 'of', 'the', 'external', 'magnetic', 'field', 'the', 'anisotropy', 'and', 'the', 'temperature', 'of', 'the', 'bath', 'on', 'the', 'decoherence', 'of', 'the', 'central', 'spin', 'is', 'discussed']] | [-0.18678396465817004, 0.23326851537941756, -0.06261280220906999, 0.04502259875311607, 0.013246905112891156, -0.06943595848445382, 0.01633737130874866, 0.3358858288790947, -0.2440216839506074, -0.24843422221054876, 0.05642979045020402, -0.27807100997411444, -0.04123225600521704, 0.14684757838792456, 0.08327361761550314, 0.019756025000986523, -0.02594855409185577, 0.11478748023369931, -0.07521804094076492, -0.21742866182685794, 0.30563099197828897, 0.043455470559936496, 0.26964038099281323, 0.04300097382891769, 0.12050693995613408, 0.07706116945255212, 0.041552369178209765, 0.035435337303696496, -0.11509251162843932, 0.04311726506032694, 0.18518862982378587, -0.017340548928210835, 0.22852320249955682, -0.45742075688632805, -0.19810877900038446, 0.0911739049383082, 0.13248239218824565, 0.13026873697351693, -0.036711050268381666, -0.2692185201265506, 0.007036064875739298, -0.17176234287987077, -0.19658666165743402, -0.06947514082347148, 0.02715227252425612, 0.041610578535460775, -0.2658575359745917, 0.14468134653621487, 0.10526894280490906, 0.07414693112268035, -0.09032127283569566, -0.0910249109260906, -0.03640635223723108, 0.12997226518556068, 0.06383540557655401, 0.0029428695062441485, 0.21291288326356972, -0.13548023890724925, -0.04859149041524353, 0.31665829226682735, -0.12717172277643157, -0.21490527402357498, 0.16506494991691376, -0.18873658241297966, -0.08483098629736026, 0.11334299219464113, 0.158476537881293, 0.10961095201677847, -0.19184937119427928, 0.1360382018033135, -0.004970640648695591, 0.13106495664714085, 0.0033335650735359665, 0.04495539271125668, 0.20519562024287039, 0.15982199773276434, 0.0381889149762276, 0.21765000753356775, -0.08894734717800486, -0.14424802626560168, -0.2672053613608941, -0.14416677074391337, -0.24886923705759859, 0.1043289780924867, -0.1608544850045346, -0.18042099208017826, 0.42612738375502984, 0.16815139184516847, 0.14363699161650656, 0.013290805127681759, 0.24754426161989682, 0.1678295128355573, -0.001806218394155341, 0.07747050674450129, 0.2266699857449621, 0.2508963951770973, 0.07661777834541031, -0.3658497002381915, 0.03269645325223306, 0.027029354765983227] |
710.2002 | Transverse-momentum, threshold and joint resummations for slepton pair
production at hadron colliders | We present precision calculations of the transverse-momentum spectrum and the
invariant-mass distribution for slepton pair production at hadron colliders. We
implement the transverse-momentum, threshold and joint resummation formalisms
at the next-to-leading logarithmic accuracy and consistently match the obtained
result with the pure perturbative result at the first order in the strong
coupling constant, i.e. at order alpha_s. We give numerical predictions for
selectron and stau pair production, and compare the various resummed cross
sections with the perturbative result.
| hep-ph | we present precision calculations of the transversemomentum spectrum and the invariantmass distribution for slepton pair production at hadron colliders we implement the transversemomentum threshold and joint resummation formalisms at the nexttoleading logarithmic accuracy and consistently match the obtained result with the pure perturbative result at the first order in the strong coupling constant ie at order alpha_s we give numerical predictions for selectron and stau pair production and compare the various resummed cross sections with the perturbative result | [['we', 'present', 'precision', 'calculations', 'of', 'the', 'transversemomentum', 'spectrum', 'and', 'the', 'invariantmass', 'distribution', 'for', 'slepton', 'pair', 'production', 'at', 'hadron', 'colliders', 'we', 'implement', 'the', 'transversemomentum', 'threshold', 'and', 'joint', 'resummation', 'formalisms', 'at', 'the', 'nexttoleading', 'logarithmic', 'accuracy', 'and', 'consistently', 'match', 'the', 'obtained', 'result', 'with', 'the', 'pure', 'perturbative', 'result', 'at', 'the', 'first', 'order', 'in', 'the', 'strong', 'coupling', 'constant', 'ie', 'at', 'order', 'alpha_s', 'we', 'give', 'numerical', 'predictions', 'for', 'selectron', 'and', 'stau', 'pair', 'production', 'and', 'compare', 'the', 'various', 'resummed', 'cross', 'sections', 'with', 'the', 'perturbative', 'result']] | [-0.05364002887076006, 0.13172113904371285, -0.09491423012402195, 0.14620287427439904, 0.010830738122025743, -0.1011552266128815, 0.00011595459065388124, 0.36927651301121867, -0.17288091618758747, -0.2836975666622703, -0.05817157446961993, -0.3605100500564545, 0.07040287079647757, 0.11541657329787715, 0.10440673362702513, 0.16704397693945047, 0.10864770096631195, 0.001169881855066006, -0.06067430126504638, -0.2384885008333442, 0.33175184318007755, 0.0976625543493682, 0.21445823348581028, 0.22301810927306995, 0.0584076898626219, 0.06415278149338868, -0.061860914274942704, -0.07616085563905728, -0.19172247244904822, 0.0507185931604069, 0.2784920522453598, -0.006301988811733631, 0.0885605341098152, -0.31020332688991076, -0.05126715053875859, 0.07257883017285703, 0.12509236796102366, 0.12596179488807535, -0.03366044249970657, -0.243509445590182, 0.11207742226692155, -0.3148153015675071, -0.1355802493337064, -0.14401373230756667, -0.08140263448540981, -0.06753407244403394, -0.3621033657079515, 0.1075962639043633, -0.05791946894560869, -0.025177540404678067, 0.04870303005027848, -0.1712834063700239, -0.07561426951985759, 0.051772897818292946, 0.12058939288059871, 0.04287424004182984, 0.11720689978952017, -0.19480783811722618, -0.2095207831619355, 0.3692435128853107, -0.1298285096985264, -0.13409514381932333, 0.1301564174787834, -0.2440533498302102, -0.17488727467552495, 0.1313842540511336, 0.2303615225634227, 0.14175813441546872, -0.11599733664367634, 0.1424084837475302, 0.06430773198521003, 0.15049274834708717, 0.13449055631645024, 0.07720941357696667, 0.14567382339961255, 0.1481557552022143, -0.035865895282954745, 0.025029251548963096, -0.08637346339244874, -0.10198406744390152, -0.4926235450622745, -0.0568894447806554, -0.047576739688594945, 0.015931219772961087, -0.14180923022164885, -0.08597736665979028, 0.3913345179723528, 0.1325804167546523, 0.2940010584604282, 0.1706264366586812, 0.36518213195869553, 0.17353872331575707, 0.01879415172450722, 0.07090782856520934, 0.3217653500346037, 0.13215153740766722, 0.12362821576878047, -0.25198984172386235, 0.027469365266509928, 0.1070940081363705] |
710.2003 | CMB Anisotropies and Inflation from Non-Standard Spinors | The apparent alignment of the cosmic microwave background multipoles on large
scales challenges the standard cosmological model. Scalar field inflation is
isotropic and cannot account for the observed alignment. We explore the
imprints, a non-standard spinor driven inflation would leave on the cosmic
microwave background anisotropies. We show it is natural to expect an
anisotropic inflationary expansion of the Universe which has the effect of
suppressing the low multipole amplitude of the primordial power spectrum, while
at the same time to provide the usual inflationary features.
| astro-ph gr-qc hep-ph hep-th | the apparent alignment of the cosmic microwave background multipoles on large scales challenges the standard cosmological model scalar field inflation is isotropic and cannot account for the observed alignment we explore the imprints a nonstandard spinor driven inflation would leave on the cosmic microwave background anisotropies we show it is natural to expect an anisotropic inflationary expansion of the universe which has the effect of suppressing the low multipole amplitude of the primordial power spectrum while at the same time to provide the usual inflationary features | [['the', 'apparent', 'alignment', 'of', 'the', 'cosmic', 'microwave', 'background', 'multipoles', 'on', 'large', 'scales', 'challenges', 'the', 'standard', 'cosmological', 'model', 'scalar', 'field', 'inflation', 'is', 'isotropic', 'and', 'can', 'not', 'account', 'for', 'the', 'observed', 'alignment', 'we', 'explore', 'the', 'imprints', 'a', 'nonstandard', 'spinor', 'driven', 'inflation', 'would', 'leave', 'on', 'the', 'cosmic', 'microwave', 'background', 'anisotropies', 'we', 'show', 'it', 'is', 'natural', 'to', 'expect', 'an', 'anisotropic', 'inflationary', 'expansion', 'of', 'the', 'universe', 'which', 'has', 'the', 'effect', 'of', 'suppressing', 'the', 'low', 'multipole', 'amplitude', 'of', 'the', 'primordial', 'power', 'spectrum', 'while', 'at', 'the', 'same', 'time', 'to', 'provide', 'the', 'usual', 'inflationary', 'features']] | [-0.18212099683781466, 0.1969736866164891, -0.09626106303934565, 0.14057107067709768, -0.1308531544851032, -0.06062547108907809, -0.12001237396322105, 0.2967376299416539, -0.25727366981492644, -0.2895497442490753, 0.017545887220907826, -0.26334619615226984, -0.05630732928242149, 0.16606060743342613, 0.05406874224500752, -0.03326771711802174, -0.025562597829420334, 0.02372884803656328, -0.02664740764717946, -0.2630916323627201, 0.3140251510937152, 0.21702281702523943, 0.30151633575462317, 0.010534599964003796, 0.11826197519877005, -0.1097079362270647, -0.06520857131001594, -0.005094245375915505, -0.13602613597765736, 0.04171326368961526, 0.15258740772889262, 0.13150993455201387, 0.16337015077300454, -0.4308638709715043, -0.27763513514896504, 0.18815733270783877, 0.16538060625651102, 0.20031136239413172, -0.048258063343257225, -0.2662131078969473, 0.04455681452955836, -0.11056546741646939, -0.09804132049796226, -0.07433194220975983, -0.0404297904761765, -0.07802133138048002, -0.2727271998675818, 0.12862430386587806, 0.05775186023407284, -0.001982759491636835, -0.05188913410529494, -0.05066594974426874, 0.0019168712669748, 0.04153793874121774, 0.11824100931715649, 0.026837185035920006, 0.16666430220725123, -0.15621181734805478, -0.06603425738118032, 0.4320718515878436, -0.17985355536100164, -0.10290963903883066, 0.1051820619781127, -0.21527189420985765, -0.1522915254630705, 0.09050639013320892, 0.1443757455603316, 0.0377246305646225, -0.10756113367347882, 0.19349567456426495, 0.10852296132294612, 0.19226145885627846, 0.1068247356291475, 0.04807408611777228, 0.3895239868768673, 0.10479662259077203, 0.04776161043080448, 0.10187798085483327, -0.10674604767633752, -0.028668650725706554, -0.3277872705874943, -0.04854940069603852, -0.15298424382900133, 0.08258666732397342, -0.18707070970655573, -0.2267112228591209, 0.42230907640280735, 0.1705990139523457, 0.19934067056760535, 0.021823700730175036, 0.3465585094694605, 0.08778529825631058, 0.047359740083245026, 0.031870884232051755, 0.34222015908694475, 0.09117023746386685, 0.14300902077296598, -0.2564155624365841, 0.006400179658513302, -0.02133635379074291] |
710.2004 | Optimality of private quantum channels | We addressed the question of optimality of private quantum channels. We have
shown that the Shannon entropy of the classical key necessary to securely
transfer the quantum information is lower bounded by the entropy exchange of
the private quantum channel $\cal E$ and von Neumann entropy of the ciphertext
state $\varrho^{(0)}$. Based on these bounds we have shown that decomposition
of private quantum channels into orthogonal unitaries (if exists) is optimizing
the entropy. For non-ancillary single qubit PQC we have derived the optimal
entropy for arbitrary set of plaintexts. In particular, we have shown that
except when the (closure of the) set of plaintexts contains all states, one bit
key is sufficient. We characterized and analyzed all the possible single qubit
private quantum channels for arbitrary set of plaintexts. For the set of
plaintexts consisting of all qubit states we have characterized all possible
approximate private quantum channels and we have derived the relation between
the security parameter and the corresponding minimal entropy.
| quant-ph | we addressed the question of optimality of private quantum channels we have shown that the shannon entropy of the classical key necessary to securely transfer the quantum information is lower bounded by the entropy exchange of the private quantum channel cal e and von neumann entropy of the ciphertext state varrho0 based on these bounds we have shown that decomposition of private quantum channels into orthogonal unitaries if exists is optimizing the entropy for nonancillary single qubit pqc we have derived the optimal entropy for arbitrary set of plaintexts in particular we have shown that except when the closure of the set of plaintexts contains all states one bit key is sufficient we characterized and analyzed all the possible single qubit private quantum channels for arbitrary set of plaintexts for the set of plaintexts consisting of all qubit states we have characterized all possible approximate private quantum channels and we have derived the relation between the security parameter and the corresponding minimal entropy | [['we', 'addressed', 'the', 'question', 'of', 'optimality', 'of', 'private', 'quantum', 'channels', 'we', 'have', 'shown', 'that', 'the', 'shannon', 'entropy', 'of', 'the', 'classical', 'key', 'necessary', 'to', 'securely', 'transfer', 'the', 'quantum', 'information', 'is', 'lower', 'bounded', 'by', 'the', 'entropy', 'exchange', 'of', 'the', 'private', 'quantum', 'channel', 'cal', 'e', 'and', 'von', 'neumann', 'entropy', 'of', 'the', 'ciphertext', 'state', 'varrho0', 'based', 'on', 'these', 'bounds', 'we', 'have', 'shown', 'that', 'decomposition', 'of', 'private', 'quantum', 'channels', 'into', 'orthogonal', 'unitaries', 'if', 'exists', 'is', 'optimizing', 'the', 'entropy', 'for', 'nonancillary', 'single', 'qubit', 'pqc', 'we', 'have', 'derived', 'the', 'optimal', 'entropy', 'for', 'arbitrary', 'set', 'of', 'plaintexts', 'in', 'particular', 'we', 'have', 'shown', 'that', 'except', 'when', 'the', 'closure', 'of', 'the', 'set', 'of', 'plaintexts', 'contains', 'all', 'states', 'one', 'bit', 'key', 'is', 'sufficient', 'we', 'characterized', 'and', 'analyzed', 'all', 'the', 'possible', 'single', 'qubit', 'private', 'quantum', 'channels', 'for', 'arbitrary', 'set', 'of', 'plaintexts', 'for', 'the', 'set', 'of', 'plaintexts', 'consisting', 'of', 'all', 'qubit', 'states', 'we', 'have', 'characterized', 'all', 'possible', 'approximate', 'private', 'quantum', 'channels', 'and', 'we', 'have', 'derived', 'the', 'relation', 'between', 'the', 'security', 'parameter', 'and', 'the', 'corresponding', 'minimal', 'entropy']] | [-0.18113800950483477, 0.1333508201142526, -0.0487772830888445, 0.050864896828302954, 0.025464279680616327, -0.24656518968397084, 0.10606031330951984, 0.3166262436856481, -0.269870941216747, -0.22903252372311222, 0.08546290217530857, -0.2899551012633759, -0.06703055420614502, 0.20659250488366793, -0.08357755306326313, 0.1684431206136022, 0.03170153420751937, 0.11200900255403493, -0.03947782558374636, -0.30756614525675957, 0.36384076835087464, -0.004426306518898518, 0.2887204017455655, 0.056656029661772425, 0.13357525527546252, 0.014613483561041914, 0.002744132619822559, -0.011993406803266686, -0.17349183804819607, 0.12137133434607451, 0.26793369887695634, 0.2090611130827003, 0.23604746992745793, -0.4001775718535538, -0.16660887364551058, 0.1544920483512091, 0.10172517119366446, 0.11654042393934948, -0.015904294456970405, -0.2655948155364137, 0.1295927939943705, -0.19048799039439562, -0.0014804107306617095, -0.08866772292480793, 0.022986988743974104, -0.03295671162597927, -0.2672164424747964, 0.0595560388116419, 0.08198835343312195, 0.03420346085396078, -0.039111457017744766, -0.10254529082319802, -0.03537408626684344, 0.19483791523196958, -0.045801339890192735, -0.02404009432382422, 0.10416480044569866, -0.0769121700157282, -0.14859273854390154, 0.30495702970864963, -0.032689476151444755, -0.2200010864087093, 0.12671563034642913, -0.12837879920527798, -0.09078138497842039, 0.06346311717420633, 0.12055376158843253, 0.08589928452626883, -0.1460352324307386, 0.11743536069098125, -0.08936447914769545, 0.1760559139577787, 0.07578224449613948, 0.1706817007916807, 0.1472093601003979, 0.03930228466834919, 0.10009433991666654, 0.2024217654209308, -0.06585364517278647, -0.16793896351943804, -0.32326835250398606, -0.20068902311053266, -0.23732374184534966, 0.07797423349032294, -0.0666995921203102, -0.13046773411240142, 0.3653923565303378, 0.11902591814883456, 0.14974827459656898, 0.026894624666943225, 0.27596879042440703, 0.12693855078333277, 0.04444766820718845, 0.17050950486431427, 0.21381904290310672, 0.16706796829376003, 0.012460495917310502, -0.21674219486418606, 0.10191632563788673, 0.053263151035396195] |
710.2005 | Hidden Fermion in Stueckelberg Z' Models as Milli-charged Dark Matter | The hidden Stueckelberg Z' model is augmented by a pair of Dirac fermions. If
the Z' has a coupling strength comparable to weak scale coupling, one can show
that this hidden fermion-antifermion pair could be a milli-charged dark matter
candidate with a viable relic density. Monochromatic photon flux coming from
the Galactic center due to pair annihilation of these milli-charged particles
is calculated and is shown to be within reach of the next generation gamma-ray
experiments. Characteristic collider signature of this theoretical endeavor is
that the Stueckelberg Z' boson has a large invisible width decaying into the
hidden fermion-antifermion pair if kinematically allowed. Singly production of
this Z' boson at the LHC and ILC are studied.
| hep-ph | the hidden stueckelberg z model is augmented by a pair of dirac fermions if the z has a coupling strength comparable to weak scale coupling one can show that this hidden fermionantifermion pair could be a millicharged dark matter candidate with a viable relic density monochromatic photon flux coming from the galactic center due to pair annihilation of these millicharged particles is calculated and is shown to be within reach of the next generation gammaray experiments characteristic collider signature of this theoretical endeavor is that the stueckelberg z boson has a large invisible width decaying into the hidden fermionantifermion pair if kinematically allowed singly production of this z boson at the lhc and ilc are studied | [['the', 'hidden', 'stueckelberg', 'z', 'model', 'is', 'augmented', 'by', 'a', 'pair', 'of', 'dirac', 'fermions', 'if', 'the', 'z', 'has', 'a', 'coupling', 'strength', 'comparable', 'to', 'weak', 'scale', 'coupling', 'one', 'can', 'show', 'that', 'this', 'hidden', 'fermionantifermion', 'pair', 'could', 'be', 'a', 'millicharged', 'dark', 'matter', 'candidate', 'with', 'a', 'viable', 'relic', 'density', 'monochromatic', 'photon', 'flux', 'coming', 'from', 'the', 'galactic', 'center', 'due', 'to', 'pair', 'annihilation', 'of', 'these', 'millicharged', 'particles', 'is', 'calculated', 'and', 'is', 'shown', 'to', 'be', 'within', 'reach', 'of', 'the', 'next', 'generation', 'gammaray', 'experiments', 'characteristic', 'collider', 'signature', 'of', 'this', 'theoretical', 'endeavor', 'is', 'that', 'the', 'stueckelberg', 'z', 'boson', 'has', 'a', 'large', 'invisible', 'width', 'decaying', 'into', 'the', 'hidden', 'fermionantifermion', 'pair', 'if', 'kinematically', 'allowed', 'singly', 'production', 'of', 'this', 'z', 'boson', 'at', 'the', 'lhc', 'and', 'ilc', 'are', 'studied']] | [-0.11701944870934501, 0.292859530493874, -0.05585929188588313, 0.14333695169751018, -0.12188883040678399, -0.18507471421516725, 0.009998443002555648, 0.3437518504175261, -0.25810383167117834, -0.2848405158227502, -0.03703424749606899, -0.30107394267066284, 0.03626659497265415, 0.12861814071897995, 0.13726468457928698, 0.01930695373548901, 0.05861582984276726, 0.03804624079855095, 0.016069530384968323, -0.2599695583821499, 0.28344340106986204, 0.04502639107823629, 0.19502932713206472, 0.07112004647456945, 0.09370704897647274, 0.0034058327618022933, -0.013057816879530759, -0.07337633204036231, -0.06369172108566874, 0.06542775150516937, 0.1756859968480622, 0.0696008955529923, 0.18274767857631027, -0.31417352560072626, -0.16830937065794294, 0.20951789285955502, 0.20923985609110315, 0.09060393100010296, -0.1291386922901689, -0.36403032647574257, 0.1278533384219968, -0.22117961621200988, -0.11672633040519752, 0.005156302306768966, 0.004319149212435526, -0.07540392802610736, -0.2897796712309957, 0.0703314309277379, -0.061195297813010884, -0.07313096292662145, 0.032673580836954305, -0.08698757439309827, -0.12764728643353387, -0.04390752049371729, 0.11680622183986747, 0.0729488119892455, 0.18135008642174993, -0.20131107508245022, -0.15921375711833866, 0.3964007734160485, -0.13803931696597357, -0.15264073612393234, 0.20357076154122578, -0.1623782728003852, -0.14103376333890805, 0.19185651385963992, 0.18154573742027297, 0.04802513874441, -0.17519995786956158, 0.20055081743389722, -0.09139828395664468, 0.1994712548450856, 0.04196946742414529, 0.06597091033171605, 0.3506606549409957, 0.18332661405017053, 0.05348279402623403, 0.06944560743507062, -0.1429009922972784, -0.032255776164298554, -0.4089179609717544, -0.1559482818943095, -0.1347944954056935, 0.06862710393084101, -0.02185504963588379, -0.08291589123962631, 0.3614075785294047, 0.10215566326575033, 0.24721850376929447, -0.021495123409890925, 0.2872397795165006, 0.13308213743509661, 0.10462778907370601, 0.026684881868779233, 0.36490354412797327, 0.17155000472096085, 0.05673844439523487, -0.1844633016956103, -0.01478815619765524, 0.0531928244685144] |
710.2006 | Hyperflares of SGRs as an engine for millisecond extragalactic radio
bursts | We propose that the strong millisecond extragalactic radio burst (mERB)
discovered by Lorimer et al. (2007) may be related to a hyperflare from an
extragalactic soft gamma-ray repeater. The expected rate of such hyperflares,
$\sim$ 20 - 100 d$^{-1}$ Gpc$^{-3}$, is in good correspondence with the value
estimated by Lorimer et al. The possible mechanism of radio emission can be
related to the tearing mode instability in the magnetar magnetosphere as
discussed by Lyutikov (2002), and can produce the radio flux corresponding to
the observed $\sim$ 30 Jy from the mERB using a simple scaling of the burst
energy.
| astro-ph | we propose that the strong millisecond extragalactic radio burst merb discovered by lorimer et al 2007 may be related to a hyperflare from an extragalactic soft gammaray repeater the expected rate of such hyperflares sim 20 100 d1 gpc3 is in good correspondence with the value estimated by lorimer et al the possible mechanism of radio emission can be related to the tearing mode instability in the magnetar magnetosphere as discussed by lyutikov 2002 and can produce the radio flux corresponding to the observed sim 30 jy from the merb using a simple scaling of the burst energy | [['we', 'propose', 'that', 'the', 'strong', 'millisecond', 'extragalactic', 'radio', 'burst', 'merb', 'discovered', 'by', 'lorimer', 'et', 'al', '2007', 'may', 'be', 'related', 'to', 'a', 'hyperflare', 'from', 'an', 'extragalactic', 'soft', 'gammaray', 'repeater', 'the', 'expected', 'rate', 'of', 'such', 'hyperflares', 'sim', '20', '100', 'd1', 'gpc3', 'is', 'in', 'good', 'correspondence', 'with', 'the', 'value', 'estimated', 'by', 'lorimer', 'et', 'al', 'the', 'possible', 'mechanism', 'of', 'radio', 'emission', 'can', 'be', 'related', 'to', 'the', 'tearing', 'mode', 'instability', 'in', 'the', 'magnetar', 'magnetosphere', 'as', 'discussed', 'by', 'lyutikov', '2002', 'and', 'can', 'produce', 'the', 'radio', 'flux', 'corresponding', 'to', 'the', 'observed', 'sim', '30', 'jy', 'from', 'the', 'merb', 'using', 'a', 'simple', 'scaling', 'of', 'the', 'burst', 'energy']] | [-0.07851511429180391, 0.17738967632385538, -0.011949863522507561, 0.13484314514425932, -0.13059601324736528, -0.061700911304797046, 0.08400535331262897, 0.37269928787524503, -0.2062427921652367, -0.3911866931982028, 0.05460348490790542, -0.26793031705892645, -0.07401679702646409, 0.2646854350847813, -0.06695624501541413, -0.0025544017019759244, 0.015250518782219539, -0.09629039669865354, 0.02421102697250414, -0.19405676300326982, 0.1963317883394969, 0.1984767247340642, 0.23432444178615697, -0.017510544896746676, 0.06599885840356971, -0.0861938398811617, -0.034331021325973175, -0.04127900684155369, -0.12877187715434957, 0.019851114047924057, 0.21734009045394487, 0.13847506096741805, 0.16467540068939948, -0.39556961131165735, -0.2344642211489069, 0.07981331121603337, 0.1384938580352658, 0.0090354146862713, -0.022903060375635203, -0.31792696929672576, 0.09620094096559721, -0.26768071816817, -0.15598421241641822, 0.08356120152166113, 0.06755867646522044, 0.06320972169244972, -0.21811487461673096, 0.15042560792062432, 0.03182130689068193, -0.010464619020543372, -0.06394745817427368, -0.024577768015054364, -0.0052583998573633535, -0.009570070949848741, 0.049570017588848714, 0.15574586636406215, 0.0993377015159543, -0.08438388456124812, -0.16434521568529212, 0.35165623006954166, -0.05991851164920566, 0.04469169042810487, 0.1966082909881758, -0.1632520831093037, -0.1529932811196583, 0.19594570932288966, 0.1179525111753416, 0.06792432300668831, -0.15389192872680724, 0.017275787937857483, -0.031120354901455965, 0.17942290421099946, 0.07498699064793375, 0.02629039352662706, 0.27167784040405724, 0.10676246817456558, -0.02133886395798375, 0.123851955429321, -0.26432510871381965, 0.02950438025012166, -0.25768275841376936, -0.039386995810976565, -0.17527744926913633, 0.1674304144156243, -0.09765919196055013, -0.07184929680079222, 0.3797599013826887, 0.09387856900017748, 0.20991941213287646, 0.026103538361591443, 0.21823389913091282, 0.1386559355754192, 0.05734562601719517, 0.19092394506636387, 0.37318298950170475, 0.1357483077032763, 0.10528167775676896, -0.18933810816088226, 0.06330045619688462, 0.024610169845497392] |
710.2007 | The wave equation on singular space-times | We prove local unique solvability of the wave equation for a large class of
weakly singular, locally bounded space-time metrics in a suitable space of
generalised functions.
| math-ph gr-qc math.AP math.MP | we prove local unique solvability of the wave equation for a large class of weakly singular locally bounded spacetime metrics in a suitable space of generalised functions | [['we', 'prove', 'local', 'unique', 'solvability', 'of', 'the', 'wave', 'equation', 'for', 'a', 'large', 'class', 'of', 'weakly', 'singular', 'locally', 'bounded', 'spacetime', 'metrics', 'in', 'a', 'suitable', 'space', 'of', 'generalised', 'functions']] | [-0.21521129217688684, 0.08601969525355983, -0.05324549821239931, 0.11366663424781075, -0.12950474803370457, -0.1187139424253945, -0.04965929233434575, 0.27172951207116797, -0.3469397905800078, -0.10934153716597292, 0.10505533922265319, -0.22656476025090175, -0.15965637426685403, 0.20072847218425185, -0.02523709033374433, 0.13395819268016904, 0.053368980444415855, 0.07353528732157967, -0.15849588849340324, -0.2206689785062163, 0.49715785295874987, -0.07631496567693022, 0.2728547292451064, 0.03781937545648328, 0.21770061831059004, -0.0017548503388685208, -0.017425572413399263, 0.09126686920407573, -0.17655628008974922, 0.1172496345092508, 0.25097745654380155, 0.10772944713459799, 0.320801748169793, -0.35282618911178026, -0.23245978741734116, 0.2013056412063263, 0.08131255306027553, 0.05703032868741839, -0.02378056593739462, -0.3498599667240072, 0.1318836526738273, -0.11349074570117174, -0.27825932465148745, -0.08664506860077381, 0.02897330316611462, 0.09132578199798311, -0.291496259815715, 0.08478336174179006, 0.0753976949663074, 0.0044814880799364165, -0.1647483407761212, -0.0071922362333646525, -0.010067933704704046, 0.016920288352088794, -0.0516446138628655, 0.034792224798972406, 0.03723957187806567, -0.10782806469015432, -0.03881467213095338, 0.3380319801831825, -0.13676922192314156, -0.3499042262857849, 0.1337583663838881, -0.1768419234323557, -0.15912802265612064, 0.11851066019799975, 0.18033932135612876, 0.24588305378953615, -0.14503366707099807, 0.22204952611139528, -0.09933854384224913, 0.0997921219440522, 0.07912264726366158, 0.08109001103029759, 0.10861734631988737, 0.10173725383356214, 0.2293579736724496, 0.14771124141083825, 0.04368598091726502, -0.07814912798090114, -0.39826093917643585, -0.18464184210946163, -0.17914844127544374, 0.12289511481530671, -0.18175008767111986, -0.31990956680642235, 0.40291136832631846, -0.0006545821584209248, 0.1229401387412239, 0.10874589184230124, 0.13549930491933115, 0.14502528475390541, -0.009171584414111244, 0.11438435892126074, 0.16537809965235215, 0.13336763539592977, 0.0725361632735089, -0.13005466348733064, -0.02757495895235075, 0.15777183846835718] |
710.2008 | Statistical Relaxation in Closed Quantum Systems and the Van Hove-Limit | We analyze the dynamics of occupation probabilities for a certain type of
design models by the use of two different methods. On the one hand we present
some numerical calculations for two concrete interactions which point out that
the occurrence of statistical dynamics depends on the interaction structure.
Furthermore we show an analytical derivation for an infinite system that yields
statistical behaviour for the average over the whole ensemble of interactions
in the Van Hove-limit.
| cond-mat.stat-mech | we analyze the dynamics of occupation probabilities for a certain type of design models by the use of two different methods on the one hand we present some numerical calculations for two concrete interactions which point out that the occurrence of statistical dynamics depends on the interaction structure furthermore we show an analytical derivation for an infinite system that yields statistical behaviour for the average over the whole ensemble of interactions in the van hovelimit | [['we', 'analyze', 'the', 'dynamics', 'of', 'occupation', 'probabilities', 'for', 'a', 'certain', 'type', 'of', 'design', 'models', 'by', 'the', 'use', 'of', 'two', 'different', 'methods', 'on', 'the', 'one', 'hand', 'we', 'present', 'some', 'numerical', 'calculations', 'for', 'two', 'concrete', 'interactions', 'which', 'point', 'out', 'that', 'the', 'occurrence', 'of', 'statistical', 'dynamics', 'depends', 'on', 'the', 'interaction', 'structure', 'furthermore', 'we', 'show', 'an', 'analytical', 'derivation', 'for', 'an', 'infinite', 'system', 'that', 'yields', 'statistical', 'behaviour', 'for', 'the', 'average', 'over', 'the', 'whole', 'ensemble', 'of', 'interactions', 'in', 'the', 'van', 'hovelimit']] | [-0.1408461836116338, 0.07144033378092383, -0.11565891962743842, 0.08528440886151951, 0.0009029359128829595, -0.07767792412935681, 0.0594642949180451, 0.34451085361777933, -0.24131955080539794, -0.2670839701754016, 0.07465849123184091, -0.2837489570516187, -0.18015494424144965, 0.23295769881696213, 0.04218125170902223, -8.784896517927582e-05, 0.05760535757636299, 0.06839569717507206, -0.10386442568631389, -0.2191900201865497, 0.36534390312846043, 0.050362137813322445, 0.27371198768299576, 0.04159853793680668, 0.10146185102545328, 0.04930284169716509, 0.016850792739943072, 0.02255443179180745, -0.1696310298766302, 0.11512574056050161, 0.15244377184506056, 0.10142091699447986, 0.2844575433897459, -0.43241400548533815, -0.21030529326683767, 0.06639778941265635, 0.14226089712433718, 0.1353664033892061, -0.05752892871827793, -0.24482924083398805, 0.029856729214205534, -0.18572161427220782, -0.11439707780860968, -0.09226400777697563, 0.006886254240934913, 0.07535128595584349, -0.24861501469166722, 0.05295027465232321, 0.06432135644796733, 0.06760970790265994, -0.08937013779792029, -0.11085823804888925, 0.027057934338478622, 0.1542434190978875, 0.007631148494830406, -0.10383214685763861, 0.09521073362211117, -0.13544571940862649, -0.12065745859935477, 0.3560663194370431, -0.0644342315955893, -0.22291012568323798, 0.2169108796594161, -0.11759928098527363, -0.17826755553786014, 0.10573240598613345, 0.16417335719499435, 0.10619176381796196, -0.1378321964553293, 0.05524056367072705, -0.029035793428586143, 0.1737274741270183, 0.00530060420656023, -0.0002801354244552754, 0.18649100279435515, 0.1787010839561353, 0.03712081833667046, 0.13209498799531846, -0.09041552888732907, -0.17383526859653964, -0.33209184894489274, -0.14304094857259378, -0.16518339341053287, 0.05373654913509617, -0.11601808776676252, -0.19295357562903617, 0.42650862526450606, 0.2152259166075571, 0.2111097715190939, 0.0654417276649887, 0.2567743235865507, 0.11288294168440877, -0.010620164779342106, 0.016322327419058293, 0.24632019405701588, 0.07181957699169682, 0.004788871450236419, -0.25803918996825814, 0.06267685299059628, 0.07960145435031704] |
710.2009 | DBI Inflation using a One-Parameter Family of Throat Geometries | We demonstrate the possibility of examining cosmological signatures in the
DBI inflation setup using the BGMPZ solution, a one-parameter family of
geometries for the warped throat which interpolate between the Maldacena-Nunez
and Klebanov-Strassler solutions. The warp factor is determined numerically and
subsequently used to calculate cosmological observables including the scalar
and tensor spectral indices, for a sample point in the parameter space. As one
moves away from the KS solution for the throat the warp factor is qualitatively
different, which leads to a significant change for the observables, but also
generically increases the non-Gaussianity of the models. We argue that the
different models can potentially be differentiated by current and future
experiments.
| hep-th astro-ph hep-ph | we demonstrate the possibility of examining cosmological signatures in the dbi inflation setup using the bgmpz solution a oneparameter family of geometries for the warped throat which interpolate between the maldacenanunez and klebanovstrassler solutions the warp factor is determined numerically and subsequently used to calculate cosmological observables including the scalar and tensor spectral indices for a sample point in the parameter space as one moves away from the ks solution for the throat the warp factor is qualitatively different which leads to a significant change for the observables but also generically increases the nongaussianity of the models we argue that the different models can potentially be differentiated by current and future experiments | [['we', 'demonstrate', 'the', 'possibility', 'of', 'examining', 'cosmological', 'signatures', 'in', 'the', 'dbi', 'inflation', 'setup', 'using', 'the', 'bgmpz', 'solution', 'a', 'oneparameter', 'family', 'of', 'geometries', 'for', 'the', 'warped', 'throat', 'which', 'interpolate', 'between', 'the', 'maldacenanunez', 'and', 'klebanovstrassler', 'solutions', 'the', 'warp', 'factor', 'is', 'determined', 'numerically', 'and', 'subsequently', 'used', 'to', 'calculate', 'cosmological', 'observables', 'including', 'the', 'scalar', 'and', 'tensor', 'spectral', 'indices', 'for', 'a', 'sample', 'point', 'in', 'the', 'parameter', 'space', 'as', 'one', 'moves', 'away', 'from', 'the', 'ks', 'solution', 'for', 'the', 'throat', 'the', 'warp', 'factor', 'is', 'qualitatively', 'different', 'which', 'leads', 'to', 'a', 'significant', 'change', 'for', 'the', 'observables', 'but', 'also', 'generically', 'increases', 'the', 'nongaussianity', 'of', 'the', 'models', 'we', 'argue', 'that', 'the', 'different', 'models', 'can', 'potentially', 'be', 'differentiated', 'by', 'current', 'and', 'future', 'experiments']] | [-0.10658861303005603, 0.091066387897307, -0.10993447234205952, 0.10955525011973674, -0.06925035917477028, -0.1448240939586482, -0.0030192061367251715, 0.3095413196815161, -0.24430881472522611, -0.3006330636279607, 0.09906369478542458, -0.26261696784111027, -0.12101568247669854, 0.19055289007368842, -0.006824922932496479, 0.020486824986365466, 0.024188786298288283, -0.013308546090548908, -0.10317398453978738, -0.19735647382336324, 0.368484092758851, 0.07113641300364523, 0.25950824138750367, 0.01920897000981075, 0.0841696735299486, -0.08770605814769059, -0.0203908612077997, 0.06564821062063135, -0.17828373596506658, 0.0624224992418087, 0.17989011077916403, 0.1340151665950412, 0.17086222816493596, -0.4004199586150961, -0.23057968732019937, 0.1341854718404713, 0.15913562637728615, 0.1511778219598807, -0.012703380316730824, -0.28513443678080497, 0.04429486021556816, -0.184903233672853, -0.15124752940945663, -0.09603055289669617, 0.013641703966165986, -0.046352213995346614, -0.2859226933403595, 0.08825399327382387, -0.028017987421638257, -0.05405764071153359, -0.08380369366532578, -0.07481727344067851, -0.06261960330402462, 0.08111675545522892, 0.14428936624647798, 0.02002562145568296, 0.15666319951750673, -0.18119621992547502, -0.10546412076570329, 0.3596513363745626, -0.12137164433092416, -0.20304103849349786, 0.13848615540946657, -0.15212435667247823, -0.1002111410240219, 0.08064812803557059, 0.13746048873164565, 0.1386055575289369, -0.11145501874118775, 0.12809639592520758, 0.01489819158319602, 0.13976356791262096, 0.09624489554338292, 0.014388454402587167, 0.28398531509210934, 0.1096159571966341, 0.0594894146706137, 0.14990944671129958, -0.09556027996848833, -0.11504507981039383, -0.3580690227902016, -0.12583589918810772, -0.12343808157822571, 0.04959366891768065, -0.2002228295135832, -0.15224837885126272, 0.4420777699020733, 0.11279748645527204, 0.24737038976892511, 0.03883558258556904, 0.2424749912450778, 0.09368517631528529, 0.08551631048153918, 0.07554745966954543, 0.3166590256098373, 0.045145993034967836, 0.07418841781799455, -0.22368843419485734, -0.02333999962571102, 0.037501605817007726] |
710.201 | NLO Event Simulation for Chargino Production at the ILC | We present an extension of the Monte Carlo Event Generator Whizard which
includes chargino production at the ILC at NLO. We include photons using both a
fixed order and a resummation approach. While the fixed order approach suffers
from negative event weights, the resummation method solves this problem and
automatically includes leading higher order corrections. We present results for
cross sections and event generation for both methods and evaluate the
systematic errors due to soft and collinear approximations. In the resummation
approach, the residual uncertainty can be brought down to the per-mil level.
| hep-ph | we present an extension of the monte carlo event generator whizard which includes chargino production at the ilc at nlo we include photons using both a fixed order and a resummation approach while the fixed order approach suffers from negative event weights the resummation method solves this problem and automatically includes leading higher order corrections we present results for cross sections and event generation for both methods and evaluate the systematic errors due to soft and collinear approximations in the resummation approach the residual uncertainty can be brought down to the permil level | [['we', 'present', 'an', 'extension', 'of', 'the', 'monte', 'carlo', 'event', 'generator', 'whizard', 'which', 'includes', 'chargino', 'production', 'at', 'the', 'ilc', 'at', 'nlo', 'we', 'include', 'photons', 'using', 'both', 'a', 'fixed', 'order', 'and', 'a', 'resummation', 'approach', 'while', 'the', 'fixed', 'order', 'approach', 'suffers', 'from', 'negative', 'event', 'weights', 'the', 'resummation', 'method', 'solves', 'this', 'problem', 'and', 'automatically', 'includes', 'leading', 'higher', 'order', 'corrections', 'we', 'present', 'results', 'for', 'cross', 'sections', 'and', 'event', 'generation', 'for', 'both', 'methods', 'and', 'evaluate', 'the', 'systematic', 'errors', 'due', 'to', 'soft', 'and', 'collinear', 'approximations', 'in', 'the', 'resummation', 'approach', 'the', 'residual', 'uncertainty', 'can', 'be', 'brought', 'down', 'to', 'the', 'permil', 'level']] | [-0.03680427932751275, 0.07898950188871978, -0.09605578801804973, 0.1445917574656246, -0.03291331435383488, -0.06606031963301282, 0.04180183046827874, 0.38125089952041225, -0.21599881165731016, -0.31913504206765725, 0.06885179146117862, -0.36982439330188177, -0.034068274286685775, 0.16762602020816136, 0.003080741655061482, 0.11903273180547741, 0.11387132156530134, -0.03266830120976734, -0.09131811780013865, -0.2220659751034472, 0.29392162510143816, 0.09798815447877171, 0.20602215920645062, 0.1323684937651119, 0.16173854782665398, 0.06745816789747726, -0.07905505908720736, -0.035760062266021006, -0.09932968939150062, 0.09323208390419642, 0.25439427278044646, 0.038938402028013304, 0.21365357034148708, -0.34841096370170516, -0.12498078124487512, 0.06686782873528559, 0.12974123180573505, 0.17501912823463892, -0.02460982403167153, -0.2622268339418756, 0.11176471072699755, -0.29227755956291673, -0.08607709091357006, -0.1343547743695077, -0.11425520221312199, -0.070274330365787, -0.3331495978198545, 0.06255519856017844, 0.02525995062884464, -0.007729068078020568, 0.04493281763217222, -0.1280820023979471, -0.009318126856239253, 0.08667155214014553, 0.08979740237031052, 0.05172485542910484, 0.12699623956652958, -0.14171934043117035, -0.20397023637328418, 0.3938233579799373, -0.05360601200491831, -0.1725038283113991, 0.12078378817206749, -0.14709993956550474, -0.165246987352348, 0.20297425006696534, 0.24726983305737776, 0.1573843859199945, -0.14607009997651463, 0.11844572997889832, 0.1389593551315928, 0.16630156689463685, 0.0439427929569877, -0.016469928608726588, 0.15492432541964996, 0.17984953335416254, 0.01942139143945389, 0.13266516601171105, -0.14514198474165413, -0.10444450300307043, -0.41012580160887774, -0.08574898373736169, -0.04818494493762652, -0.010480899894509906, -0.10462942859580394, -0.14195033243947452, 0.3631015730801449, 0.24293209544773545, 0.20231278906626407, 0.09220557343540213, 0.3626589386834092, 0.17311337983839073, 0.11167350201922287, 0.076434005548807, 0.2171270235752066, 0.07998113561752102, 0.06335172336423389, -0.21635540684695126, 0.05617329487777365, 0.11704944318500898] |
710.2011 | The spatial string tension and dimensional reduction in QCD | The spatial string tension for 3+1 dimensional QCD at finite temperature is
measured. The gauge configurations we re generated with two light and one
heavier strange quark on lattices of size $16^3 4$ and $24^3 6$. This spatial
string tension is compared with the string tension of the 3 dimensional pure
gauge theory together with the temperature dependent 2-loop running coupling.
Further comparison is made with predictions from dimensionally reduced
effective theories.
| hep-lat | the spatial string tension for 31 dimensional qcd at finite temperature is measured the gauge configurations we re generated with two light and one heavier strange quark on lattices of size 163 4 and 243 6 this spatial string tension is compared with the string tension of the 3 dimensional pure gauge theory together with the temperature dependent 2loop running coupling further comparison is made with predictions from dimensionally reduced effective theories | [['the', 'spatial', 'string', 'tension', 'for', '31', 'dimensional', 'qcd', 'at', 'finite', 'temperature', 'is', 'measured', 'the', 'gauge', 'configurations', 'we', 're', 'generated', 'with', 'two', 'light', 'and', 'one', 'heavier', 'strange', 'quark', 'on', 'lattices', 'of', 'size', '163', '4', 'and', '243', '6', 'this', 'spatial', 'string', 'tension', 'is', 'compared', 'with', 'the', 'string', 'tension', 'of', 'the', '3', 'dimensional', 'pure', 'gauge', 'theory', 'together', 'with', 'the', 'temperature', 'dependent', '2loop', 'running', 'coupling', 'further', 'comparison', 'is', 'made', 'with', 'predictions', 'from', 'dimensionally', 'reduced', 'effective', 'theories']] | [-0.08062418536024375, 0.30842310465717065, -0.04510244483632656, 0.06710940784735915, -0.021917998570845358, -0.1733013335097995, 0.048114704800860233, 0.34484182458577883, -0.1504713088248132, -0.31775125912908053, 0.06746497236761367, -0.3181156017300155, -0.004798625880438421, 0.10368817546340223, 0.038274607776353754, 0.047349493518898576, -0.004922790025981764, 0.05418278915264333, -0.12175258813011977, -0.3099736586833994, 0.3127160255519104, 0.012330265922678841, 0.3068195207144729, 0.10499640190715177, 0.05723323398787114, -0.011903686448123254, -0.07862578100887024, 0.07600420260698432, -0.1132217265613791, 0.08817280239115159, 0.16084751596321845, -0.0385769926781197, 0.07560172884000672, -0.38799030393258566, -0.21851280394669934, 0.03450988441343523, 0.11851998254941362, 0.1552557541613674, -0.004458789062078318, -0.22687222486840458, 0.07122708254448501, -0.16203939518891275, -0.16383024697360168, -0.0412765828659758, 0.01801556452927697, -0.11604696522570318, -0.27650023457438994, 0.07870505010820732, -0.08249998071631934, 0.11328758789588594, -0.028061869567156665, -0.17776546076250574, -0.07712262941964178, 0.03098154964310298, 0.11842455984959896, 0.14933799587500593, 0.10878336334523435, -0.1374408656825431, -0.11475581086577019, 0.4074176702544921, -0.10893127946959187, -0.19394716579053137, 0.22775081029653343, -0.13094181390220505, -0.13662800885504112, 0.14916032916193622, 0.10449129363728894, 0.059047602809086025, -0.09197812020364735, 0.1770836065714118, 0.017682656024893124, 0.2502949903977828, 0.14603760021661097, -0.007955384421317527, 0.2514770423165626, 0.20490525553436278, -0.02890240046609607, 0.07828140095645925, -0.05327050632008144, -0.09932529314149481, -0.33961728238500655, -0.05202854180242866, -0.09298561760806479, 0.10100098154442902, -0.2430995337648104, -0.12290231033047247, 0.3316708910278976, 0.12091528318220905, 0.17665790744488025, 0.07406480265005182, 0.22758548748162058, 0.09383780079790288, 0.0679871795905961, 0.058233661198755726, 0.22319208126929072, 0.18658478944821077, 0.08369041110078494, -0.2774508633527957, -0.15160495467070076, 0.13020701051896644] |
710.2012 | Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions | We investigate multi-dimensional Hamiltonian systems associated with constant
Poisson brackets of hydrodynamic type. A complete list of two- and
three-component integrable Hamiltonians is obtained. All our examples possess
dispersionless Lax pairs and an infinity of hydrodynamic reductions.
| nlin.SI math-ph math.DG math.MP | we investigate multidimensional hamiltonian systems associated with constant poisson brackets of hydrodynamic type a complete list of two and threecomponent integrable hamiltonians is obtained all our examples possess dispersionless lax pairs and an infinity of hydrodynamic reductions | [['we', 'investigate', 'multidimensional', 'hamiltonian', 'systems', 'associated', 'with', 'constant', 'poisson', 'brackets', 'of', 'hydrodynamic', 'type', 'a', 'complete', 'list', 'of', 'two', 'and', 'threecomponent', 'integrable', 'hamiltonians', 'is', 'obtained', 'all', 'our', 'examples', 'possess', 'dispersionless', 'lax', 'pairs', 'and', 'an', 'infinity', 'of', 'hydrodynamic', 'reductions']] | [-0.22978341169151906, 0.05587179829544275, 0.022998695639339654, 0.11089095686298064, -0.09476473538607762, -0.1950259824484788, -0.07339099600810457, 0.32511030540272995, -0.28974123812607816, -0.21669074324135845, 0.01085680812546933, -0.3190438203714989, -0.16729781587885037, 0.17513447280067043, 0.008805985084256611, 0.03294700812044982, 0.1363207820198826, 0.014890865447956163, -0.1726213735150727, -0.29622865599152204, 0.39902406427505854, 0.003326632082462311, 0.18286681769264712, -0.0808973625881245, 0.16684929734077053, -0.009019505937357206, -0.038076812200046876, -0.029666289271837152, -0.17740079763068542, 0.04514101173451825, 0.2266645607588863, -0.0026322746196308653, 0.1276351932587253, -0.39009981688011336, -0.18347031773521086, 0.1058342508166223, 0.16687950907224738, 0.1716135546716081, 0.0171776292593898, -0.2850307093530491, 0.025747351977672125, -0.20033891509110863, -0.24047033929240866, -0.08432725123192712, 0.014072965629197456, 0.13817881465562293, -0.19758766396222888, 0.09268077534648615, 0.15907048711528046, 0.07657187484909554, -0.139974136270482, -0.0737133006112197, -0.11485405653287228, 0.02900051324301072, -0.04934637767665491, -0.07905629921603848, -0.009743884142890975, -0.07297497538446977, -0.16782913908261704, 0.4333983788115753, -0.038697985737156625, -0.2674761199065157, 0.2528463325186356, -0.030061690199717477, -0.14628901557896185, 0.1916710019766076, 0.12836653990922747, 0.08451960180458185, -0.20300725333996722, 0.13133138302096947, -0.10672897494372886, 0.055671506139726656, 0.07621819457995731, 0.03730672045226989, 0.19047932535711978, 0.1047167624976184, 0.021657345011024863, 0.11556145370107244, 0.026963552961918852, -0.16198131230634613, -0.38216733741196424, -0.15684013234803806, -0.16176895632698024, 0.157530697188466, -0.11294865411803806, -0.195414131607961, 0.3822895408280798, 0.0669175391714718, 0.18170974498325204, 0.11958906449050315, 0.11356975712083481, 0.19636469914867366, 0.02785528073641094, 0.0641371833311545, 0.13060093663532185, 0.22271599273222523, 0.06656007624759867, -0.21570710947334365, -0.17594924308611332, 0.19283092334061055] |
710.2013 | Sub-leading contributions to the black hole entropy in the brick wall
approach | [Abridged] We compute the canonical entropy of a quantum scalar field around
static and spherically symmetric black holes through the brick wall approach at
the higher orders (in fact, up to the sixth order in \hbar) in the WKB
approximation. We explicitly show that the brick wall model generally predicts
corrections to the Bekenstein-Hawking entropy in all spacetime dimensions. In
four dimensions, we find that the corrections to the Bekenstein-Hawking entropy
are of the form (A^n \log A), while, in six dimensions, the corrections behave
as (A^m + A^n \log A), where A denotes the area of the black hole event
horizon, and (m, n) < 1. We compare our results with the corrections to the
Bekenstein-Hawking entropy that have been obtained through the other approaches
in the literature, and discuss the implications.
| gr-qc hep-th | abridged we compute the canonical entropy of a quantum scalar field around static and spherically symmetric black holes through the brick wall approach at the higher orders in fact up to the sixth order in hbar in the wkb approximation we explicitly show that the brick wall model generally predicts corrections to the bekensteinhawking entropy in all spacetime dimensions in four dimensions we find that the corrections to the bekensteinhawking entropy are of the form an log a while in six dimensions the corrections behave as am an log a where a denotes the area of the black hole event horizon and m n 1 we compare our results with the corrections to the bekensteinhawking entropy that have been obtained through the other approaches in the literature and discuss the implications | [['abridged', 'we', 'compute', 'the', 'canonical', 'entropy', 'of', 'a', 'quantum', 'scalar', 'field', 'around', 'static', 'and', 'spherically', 'symmetric', 'black', 'holes', 'through', 'the', 'brick', 'wall', 'approach', 'at', 'the', 'higher', 'orders', 'in', 'fact', 'up', 'to', 'the', 'sixth', 'order', 'in', 'hbar', 'in', 'the', 'wkb', 'approximation', 'we', 'explicitly', 'show', 'that', 'the', 'brick', 'wall', 'model', 'generally', 'predicts', 'corrections', 'to', 'the', 'bekensteinhawking', 'entropy', 'in', 'all', 'spacetime', 'dimensions', 'in', 'four', 'dimensions', 'we', 'find', 'that', 'the', 'corrections', 'to', 'the', 'bekensteinhawking', 'entropy', 'are', 'of', 'the', 'form', 'an', 'log', 'a', 'while', 'in', 'six', 'dimensions', 'the', 'corrections', 'behave', 'as', 'am', 'an', 'log', 'a', 'where', 'a', 'denotes', 'the', 'area', 'of', 'the', 'black', 'hole', 'event', 'horizon', 'and', 'm', 'n', '1', 'we', 'compare', 'our', 'results', 'with', 'the', 'corrections', 'to', 'the', 'bekensteinhawking', 'entropy', 'that', 'have', 'been', 'obtained', 'through', 'the', 'other', 'approaches', 'in', 'the', 'literature', 'and', 'discuss', 'the', 'implications']] | [-0.10198647341200413, 0.09538407829782983, -0.08079473555571477, 0.09936065486639396, 0.003694219688906242, -0.09459157162239305, 0.003516122277555916, 0.2781343074046246, -0.17101200149600743, -0.29422454921997915, 0.06173381746750154, -0.3842580749774138, -0.09801292371978798, 0.16620932731649463, -0.06503722900595829, 0.03470992221575202, -0.04972331003705395, 0.10415985823416983, -0.11761598749164463, -0.2781042983286253, 0.3400445783169556, 0.042447430034566185, 0.24439857333173393, 0.04939033963827715, 0.07977400395045242, -0.050344523462779706, 0.004349079167911114, 0.07828881019168313, -0.1774552438348929, 0.0869874401677414, 0.20067021632495954, 0.06927439645608134, 0.197267982436927, -0.3993181706271099, -0.21393782046858137, 0.05481726374789959, 0.13900150605481837, 0.15405634212025926, -0.024969946521952863, -0.20421281507779054, 0.08330081967014431, -0.24182550762673372, -0.1608850319286851, -0.0601093279453748, 0.07732865945631567, -0.06952556602715493, -0.22429418102802554, 0.09777947621178308, 0.06725695646787418, -0.055348766761483585, -0.07572088585029008, -0.07479369424937563, -0.027842759160068994, 0.10394151197419367, 0.11538735388881236, 0.02499946226358755, 0.12368086025648473, -0.13595783619835744, -0.14806938804250622, 0.36941000739581714, -0.08691638216237672, -0.19439817754594424, 0.12227212593940492, -0.23633164439691615, -0.12155714043494285, 0.09390132387083394, 0.12439213955476311, 0.20752488533816948, -0.12061912407174365, 0.1591587621342739, 0.02163018549628954, 0.15990855776658638, 0.11374128684543698, 0.022480904476589146, 0.25224170367098375, 0.06362210925071295, 0.0009604399421302076, 0.17828997782518632, -0.08977785107558807, -0.14414322657425327, -0.35482988818299793, -0.19425195101150916, -0.17124038670684802, 0.07656196798802219, -0.17968053849494414, -0.15831297669801433, 0.32172259973283884, 0.15290304323132256, 0.2234838826951521, 0.07055565238155367, 0.27962558747963817, 0.11562651319372404, 0.08155767926733003, 0.14201669856365629, 0.2843433074006199, 0.09319616128327965, 0.103364932423685, -0.2557905974534859, -0.0644421866572398, 0.12057213931707025] |
710.2014 | Quantum Effects for the Dirac Field in Reissner-Nordstrom-AdS Black Hole
Background | The behavior of a charged massive Dirac field on a Reissner-Nordstrom-AdS
black hole background is investigated. The essential self-adjointness of the
Dirac Hamiltonian is studied. Then, an analysis of the discharge problem is
carried out in analogy with the standard Reissner-Nordstrom black hole case.
| gr-qc | the behavior of a charged massive dirac field on a reissnernordstromads black hole background is investigated the essential selfadjointness of the dirac hamiltonian is studied then an analysis of the discharge problem is carried out in analogy with the standard reissnernordstrom black hole case | [['the', 'behavior', 'of', 'a', 'charged', 'massive', 'dirac', 'field', 'on', 'a', 'reissnernordstromads', 'black', 'hole', 'background', 'is', 'investigated', 'the', 'essential', 'selfadjointness', 'of', 'the', 'dirac', 'hamiltonian', 'is', 'studied', 'then', 'an', 'analysis', 'of', 'the', 'discharge', 'problem', 'is', 'carried', 'out', 'in', 'analogy', 'with', 'the', 'standard', 'reissnernordstrom', 'black', 'hole', 'case']] | [-0.19414770534918221, 0.07075362747028438, -0.03604960610920733, 0.1319056610677349, -0.03423295881260525, -0.15434698072600772, -0.029654323049312967, 0.26861763643947517, -0.1211038865995678, -0.2520312131594189, 0.06985987850665962, -0.38872420466081664, -0.12169696305963126, 0.16335277140817858, -0.018023762375709008, 0.06065994032277641, 0.006411392157050696, 0.09234834593636068, -0.1178296545774422, -0.1933254939927296, 0.4032920751382004, 0.1316395389863332, 0.26348254474049265, -0.004039824305271561, 0.07211303317242047, 0.03147867949552496, 0.048071715091778475, 0.0776035204868425, -0.12078603858191689, 0.004508243172577667, 0.17187481238083405, 0.054458845893598416, 0.212680918101052, -0.39023979427292943, -0.2438267601299396, 0.051790345925837755, 0.17566868768666277, 0.10142006701789796, -0.1686269098771101, -0.2963416816359809, 0.09221116996327923, -0.1816671294244853, -0.18283569656143134, 0.01319964192490178, 0.009973027947125956, -0.09838768903864548, -0.21444251671941442, 0.10055730065373196, 0.09908818440850485, -0.05422640160064806, -0.12829582894813607, -0.03103003998033025, -0.07937557241794738, 0.07994069286029447, 0.15792876524871893, 0.009036600034133617, 0.20562620317055422, -0.09267843188717961, -0.10409659641498531, 0.39936152151362464, -0.033285352279728446, -0.22985406228425828, 0.13654530825707215, -0.2299448964529967, -0.06159970301880755, 0.1176562540825795, 0.11012660009278492, 0.2395852180197835, -0.21192559820007195, 0.22103521299802445, -0.05126480236437849, 0.13520991324119017, 0.08071356345052746, -0.002452965106137774, 0.3994746006686579, 0.18038121900859883, 0.027810184263878247, 0.18364674045534973, -0.04727866944581778, -0.1231614209775051, -0.2894155386496674, -0.16905371727824042, -0.16624591120688076, 0.14411621350551618, -0.11643681366165931, -0.21114749157674273, 0.3758449032056061, 0.08551947639154439, 0.13569203261762264, -0.08996539529074322, 0.2303973872383887, 0.1393981204918501, -0.03911953950724141, 0.06012335179415955, 0.3427984348752282, 0.19157654626972295, 0.1820788794641637, -0.2710956474977799, -0.1456145651490343, 0.12514378191818568] |
710.2015 | Structure and f-dependence of the a.c.i.m. for a unimodal map f of
Misiurewicz type | By using a suitable Banach space on which we let the transfer operator act,
we make a detailed study of the ergodic theory of a unimodal map $f$ of the
interval in the Misiurewicz case. We show in particular that the absolutely
continuous invariant measure $\rho$ can be written as the sum of 1/square root
spikes along the critical orbit, plus a continuous background. We conclude by a
discussion of the sense in which the map $f\mapsto\rho$ may be differentiable.
| math.DS | by using a suitable banach space on which we let the transfer operator act we make a detailed study of the ergodic theory of a unimodal map f of the interval in the misiurewicz case we show in particular that the absolutely continuous invariant measure rho can be written as the sum of 1square root spikes along the critical orbit plus a continuous background we conclude by a discussion of the sense in which the map fmapstorho may be differentiable | [['by', 'using', 'a', 'suitable', 'banach', 'space', 'on', 'which', 'we', 'let', 'the', 'transfer', 'operator', 'act', 'we', 'make', 'a', 'detailed', 'study', 'of', 'the', 'ergodic', 'theory', 'of', 'a', 'unimodal', 'map', 'f', 'of', 'the', 'interval', 'in', 'the', 'misiurewicz', 'case', 'we', 'show', 'in', 'particular', 'that', 'the', 'absolutely', 'continuous', 'invariant', 'measure', 'rho', 'can', 'be', 'written', 'as', 'the', 'sum', 'of', '1square', 'root', 'spikes', 'along', 'the', 'critical', 'orbit', 'plus', 'a', 'continuous', 'background', 'we', 'conclude', 'by', 'a', 'discussion', 'of', 'the', 'sense', 'in', 'which', 'the', 'map', 'fmapstorho', 'may', 'be', 'differentiable']] | [-0.14577133849991533, 0.11224867610069804, -0.11651517801846449, 0.06435173766639753, -0.026163975660426494, -0.08811795847036709, 0.052071620243040316, 0.3697453379296722, -0.30756156175182414, -0.17700748893026358, 0.1341512016310261, -0.2635360382965957, -0.17143472310645172, 0.18629092960737836, -0.0916544952764152, 0.024938425049185753, 0.05451986853343745, 0.11382849488216333, -0.11763012962929235, -0.20408648469795784, 0.3757493395704585, -0.0027049451660460387, 0.17465366152091286, 0.034826454730370104, 0.1397556359282671, 0.0379367659931095, -0.04760144012741362, 0.02615902777903009, -0.13654536557824498, 0.10911847052809137, 0.23327570101425338, 0.10258895004442774, 0.27840114069672733, -0.3367555751942862, -0.2188881522951982, 0.1816354546791468, 0.12461572549998379, -0.01218026099451937, -0.006261786393737659, -0.2940809133922299, 0.08558886461795713, -0.16975413728505373, -0.13526537922473672, -0.09321597326869288, 0.011984095950491535, 0.05170474672773614, -0.29999312612777335, 0.038038681488102064, 0.10764418474923915, 0.07205100529468976, -0.06609421024301973, -0.0532768930738362, -0.05941225841450386, 0.11045223767630374, 0.0038088274976381888, 0.1271176284405952, 0.13576258968514127, -0.05439887331344952, -0.07055084006890702, 0.35730259492993355, -0.15757938670233274, -0.2488430691882968, 0.14120011616689274, -0.20322913696798375, -0.14044524294373473, 0.08359593339264393, 0.15296243193248907, 0.12343838930022545, -0.11473400202484275, 0.14997270708091748, -0.08530535805039108, 0.1458765503544456, 0.04375310798581594, -0.007696343391823272, 0.22011612050939733, 0.08782596898993525, 0.14287845468005309, 0.17472949617793068, -0.01532642103624172, -0.06246998187345572, -0.3611208194007094, -0.1747148340472426, -0.17164068058348045, 0.11822422803976597, -0.05488942447715463, -0.19054046644566533, 0.39740581419438314, 0.10063247816213287, 0.24495745656223825, 0.07339849847947988, 0.22209583939268038, 0.1779687654119558, 0.012707168154287128, 0.0448180827139041, 0.1503113652131735, 0.10681391596340407, 0.04452738603457618, -0.1440288071305706, 0.017859793450229634, 0.09937778856748572] |
710.2016 | Decomposition of residue currents | Given a submodule $J\subset \mathcal O_0^{\oplus r}$ and a free resolution of
$J$ one can define a certain vector valued residue current whose annihilator is
$J$. We make a decomposition of the current with respect to Ass$(J)$ that
correspond to a primary decomposition of $J$. As a tool we introduce a class of
currents that includes usual residue and principal value currents; in
particular these currents admit a certain type of restriction to analytic
varieties and more generally to constructible sets.
| math.CV math.AC | given a submodule jsubset mathcal o_0oplus r and a free resolution of j one can define a certain vector valued residue current whose annihilator is j we make a decomposition of the current with respect to assj that correspond to a primary decomposition of j as a tool we introduce a class of currents that includes usual residue and principal value currents in particular these currents admit a certain type of restriction to analytic varieties and more generally to constructible sets | [['given', 'a', 'submodule', 'jsubset', 'mathcal', 'o_0oplus', 'r', 'and', 'a', 'free', 'resolution', 'of', 'j', 'one', 'can', 'define', 'a', 'certain', 'vector', 'valued', 'residue', 'current', 'whose', 'annihilator', 'is', 'j', 'we', 'make', 'a', 'decomposition', 'of', 'the', 'current', 'with', 'respect', 'to', 'assj', 'that', 'correspond', 'to', 'a', 'primary', 'decomposition', 'of', 'j', 'as', 'a', 'tool', 'we', 'introduce', 'a', 'class', 'of', 'currents', 'that', 'includes', 'usual', 'residue', 'and', 'principal', 'value', 'currents', 'in', 'particular', 'these', 'currents', 'admit', 'a', 'certain', 'type', 'of', 'restriction', 'to', 'analytic', 'varieties', 'and', 'more', 'generally', 'to', 'constructible', 'sets']] | [-0.18350372914242546, 0.08762834614873687, -0.06983812961468025, 0.029283037675910076, -0.1215943538265515, -0.14939410580157103, -0.007681969077255624, 0.3221673760798913, -0.30932438939432555, -0.18382595209891117, 0.08515791066987086, -0.21455200061885804, -0.1041702559288544, 0.1739673103807093, -0.09836195567269114, -0.03467661628051649, 0.02964788596912087, 0.11054188574228106, -0.08013758562870701, -0.20273112678676372, 0.37956508531977856, -0.01863849293912136, 0.2156008137710528, 0.028512522271728215, 0.11823064746936382, 0.017043751587831897, -0.05097192835322098, 0.05948214439227234, -0.15183423895221587, 0.18641828675754368, 0.29210863774052903, 0.11869695944169277, 0.24047148696889606, -0.3531313133101816, -0.12035117502901939, 0.2169724795377896, 0.07846802229038145, 0.03704255776291218, 0.042357138637121754, -0.1913043308849859, 0.15642859082951954, -0.1968304893927342, -0.15319323986238223, -0.1266443298280805, 0.0831654069744805, 0.04504924149641508, -0.3453046793259586, 0.009179511343282236, 0.09853179646726651, 0.09073364423422874, -0.05762780289153887, -0.14961674613760242, -0.07261642809556443, 0.039276999751506725, -0.03868621056368928, 0.10865067273284061, 0.11696351162759186, -0.13500142216540967, -0.12132047656687754, 0.34624512573774857, -0.09330100793932282, -0.2801522391412077, 0.17864205016271223, -0.15667270061477453, -0.1135075341886546, 0.11812032749758491, 0.04809989022161765, 0.15668388276915007, -0.07866570817990394, 0.1572597675427759, -0.10452128886657802, 0.06940785474202867, 0.09042185798428859, 0.019654561954114257, 0.19022642416714491, 0.05276352498692142, 0.10635279282290913, 0.11866238904244537, -0.044362199858208246, -0.026971951433563533, -0.3675987289723339, -0.19454380293388532, -0.11939565057990059, 0.19028598534037608, -0.023317371040643076, -0.22468275849153346, 0.43049962760857013, 0.11689717009592848, 0.22107244286055477, 0.0960769890041291, 0.22352385960366059, 0.09129808233502687, 0.08648904917549484, 0.05570145556532823, 0.08900582084809489, 0.2173423886098722, 0.016445112226035775, -0.13258496364814382, -0.02108028110800476, 0.15186860134141356] |
710.2017 | Discovery of very high energy gamma-ray emission in the W 28 (G6.4-0.1)
region, and multiwavelength comparisons | H.E.S.S. observations of the old-age (>10^4yr; ~0.5deg diameter) composite
supernova remnant (SNR) W 28 reveal very high energy (VHE) gamma-ray emission
situated at its northeastern and southern boundaries. The northeastern VHE
source (HESS J1801-233) is in an area where W 28 is interacting with a dense
molecular cloud, containing OH masers, local radio and X-ray peaks. The
southern VHE sources (HESS J1800-240 with components labelled A, B and C) are
found in a region occupied by several HII regions, including the ultracompact
HII region W 28A2. Our analysis of NANTEN CO data reveals a dense molecular
cloud enveloping this southern region, and our reanalysis of EGRET data reveals
MeV/GeV emission centred on HESS J1801-233 and the northeastern interaction
region.
| astro-ph | hess observations of the oldage 104yr 05deg diameter composite supernova remnant snr w 28 reveal very high energy vhe gammaray emission situated at its northeastern and southern boundaries the northeastern vhe source hess j1801233 is in an area where w 28 is interacting with a dense molecular cloud containing oh masers local radio and xray peaks the southern vhe sources hess j1800240 with components labelled a b and c are found in a region occupied by several hii regions including the ultracompact hii region w 28a2 our analysis of nanten co data reveals a dense molecular cloud enveloping this southern region and our reanalysis of egret data reveals mevgev emission centred on hess j1801233 and the northeastern interaction region | [['hess', 'observations', 'of', 'the', 'oldage', '104yr', '05deg', 'diameter', 'composite', 'supernova', 'remnant', 'snr', 'w', '28', 'reveal', 'very', 'high', 'energy', 'vhe', 'gammaray', 'emission', 'situated', 'at', 'its', 'northeastern', 'and', 'southern', 'boundaries', 'the', 'northeastern', 'vhe', 'source', 'hess', 'j1801233', 'is', 'in', 'an', 'area', 'where', 'w', '28', 'is', 'interacting', 'with', 'a', 'dense', 'molecular', 'cloud', 'containing', 'oh', 'masers', 'local', 'radio', 'and', 'xray', 'peaks', 'the', 'southern', 'vhe', 'sources', 'hess', 'j1800240', 'with', 'components', 'labelled', 'a', 'b', 'and', 'c', 'are', 'found', 'in', 'a', 'region', 'occupied', 'by', 'several', 'hii', 'regions', 'including', 'the', 'ultracompact', 'hii', 'region', 'w', '28a2', 'our', 'analysis', 'of', 'nanten', 'co', 'data', 'reveals', 'a', 'dense', 'molecular', 'cloud', 'enveloping', 'this', 'southern', 'region', 'and', 'our', 'reanalysis', 'of', 'egret', 'data', 'reveals', 'mevgev', 'emission', 'centred', 'on', 'hess', 'j1801233', 'and', 'the', 'northeastern', 'interaction', 'region']] | [-0.0882903513355324, 0.07292027861931119, 0.014883011889954409, 0.058652701832425706, -0.12036702817536764, -0.09298620244058278, 0.07319357024871895, 0.4600095141074087, -0.15096495123818898, -0.32849751320532244, 0.01804806003307239, -0.34587360678129214, 0.05569637189101842, 0.1605385888933053, 0.039597668781534284, -0.14957459504232526, 0.13974236109508917, -0.13631998681718022, 0.045582140151622236, -0.17516726501201205, 0.2117072617651051, 0.16282925970104134, 0.18331961671455613, 0.05669536119979671, 0.07920134736973251, -0.18701471515103346, -0.08721513691573189, -0.0943285991700414, -0.061549793400515154, 0.10592240930144858, 0.2977842331733843, 0.1093314108876591, 0.13671213404363036, -0.26737226747199255, -0.23642099238772932, 0.05710418251717193, 0.20973655382075754, -0.12045832529154599, -0.012540192796020873, -0.43046768880489034, -0.022758052692326725, -0.22100812177428514, -0.24934593961040816, 0.215181566372864, 0.04211486702482415, 0.04518935822634997, -0.1666316709194619, 0.11783043560213767, -0.1002735722089648, 0.1265176223933251, -0.14908029853155375, -0.15711019432140338, -0.05102288131164307, -0.004276805660790867, -0.04295711763079764, 0.1235805406458039, 0.19347569690300867, -0.13965420076488239, -0.04365979637313857, 0.3399701817478571, -0.0013284077051963308, 0.0596203012451625, 0.27580287797440195, -0.28092544390939367, -0.28045191704574174, 0.2861597997805056, 0.07549000812336727, 0.04842358890077115, -0.12088204631343102, 0.10170167380233462, -0.07325520830997066, 0.20021969226435718, 0.07799903858596316, 0.06993292424805178, 0.3053518682399876, 0.13315506239767927, 0.06725003674339541, 0.20410000171878526, -0.42550811668834054, -0.03480061368109324, -0.27969857664086306, -0.05018094421611128, -0.15949692581899655, 0.07085147963808928, -0.12361186359445346, -0.11427934581969076, 0.32523225873915684, -0.045805192862947784, 0.20767669881192538, -0.0775073368983387, 0.2911327961139763, -0.025644907327846456, 0.032828502834109895, 0.2264086511423891, 0.32029073452975, 0.14939648943005973, 0.17084245617366117, -0.17581923239124128, 0.06564965975494721, -0.0328765674534007] |
710.2018 | Cognitive Interference Channels with Confidential Messages | The cognitive interference channel with confidential messages is studied.
Similarly to the classical two-user interference channel, the cognitive
interference channel consists of two transmitters whose signals interfere at
the two receivers. It is assumed that there is a common message source (message
1) known to both transmitters, and an additional independent message source
(message 2) known only to the cognitive transmitter (transmitter 2). The
cognitive receiver (receiver 2) needs to decode both messages, while the
non-cognitive receiver (receiver 1) should decode only the common message.
Furthermore, message 2 is assumed to be a confidential message which needs to
be kept as secret as possible from receiver 1, which is viewed as an
eavesdropper with regard to message 2. The level of secrecy is measured by the
equivocation rate. A single-letter expression for the capacity-equivocation
region of the discrete memoryless cognitive interference channel is established
and is further explicitly derived for the Gaussian case. Moreover,
particularizing the capacity-equivocation region to the case without a secrecy
constraint, establishes a new capacity theorem for a class of interference
channels, by providing a converse theorem.
| cs.IT math.IT | the cognitive interference channel with confidential messages is studied similarly to the classical twouser interference channel the cognitive interference channel consists of two transmitters whose signals interfere at the two receivers it is assumed that there is a common message source message 1 known to both transmitters and an additional independent message source message 2 known only to the cognitive transmitter transmitter 2 the cognitive receiver receiver 2 needs to decode both messages while the noncognitive receiver receiver 1 should decode only the common message furthermore message 2 is assumed to be a confidential message which needs to be kept as secret as possible from receiver 1 which is viewed as an eavesdropper with regard to message 2 the level of secrecy is measured by the equivocation rate a singleletter expression for the capacityequivocation region of the discrete memoryless cognitive interference channel is established and is further explicitly derived for the gaussian case moreover particularizing the capacityequivocation region to the case without a secrecy constraint establishes a new capacity theorem for a class of interference channels by providing a converse theorem | [['the', 'cognitive', 'interference', 'channel', 'with', 'confidential', 'messages', 'is', 'studied', 'similarly', 'to', 'the', 'classical', 'twouser', 'interference', 'channel', 'the', 'cognitive', 'interference', 'channel', 'consists', 'of', 'two', 'transmitters', 'whose', 'signals', 'interfere', 'at', 'the', 'two', 'receivers', 'it', 'is', 'assumed', 'that', 'there', 'is', 'a', 'common', 'message', 'source', 'message', '1', 'known', 'to', 'both', 'transmitters', 'and', 'an', 'additional', 'independent', 'message', 'source', 'message', '2', 'known', 'only', 'to', 'the', 'cognitive', 'transmitter', 'transmitter', '2', 'the', 'cognitive', 'receiver', 'receiver', '2', 'needs', 'to', 'decode', 'both', 'messages', 'while', 'the', 'noncognitive', 'receiver', 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710.2019 | MagnetoResistance of graphene-based spin valves | We study the magnetoresistance of spin-valve devices using graphene as a
non-magnetic material to connect ferromagnetic leads. As a preliminary step we
first study the conductivity of a graphene strip connected to metallic contacts
for a variety of lead parameters, and demonstrate that the resulting
conductivity is rather insensitive to them. We then compute the conductivity of
the spin-valve device in the parallel and antiparallel spin polarization
configurations, and find that it depends only weakly on the relative spin
orientations of the leads, so that the magnetoresistance $MR$ of the system is
very small. The smallness of $MR$ is a consequence of the near independence of
the graphene conductivity from the electronic details of the leads. Our results
indicate that, although graphene has properties that make it attractive for
spintronic devices, the performance of an graphene-based spin-valve is likely
to be poor.
| cond-mat.mes-hall cond-mat.mtrl-sci | we study the magnetoresistance of spinvalve devices using graphene as a nonmagnetic material to connect ferromagnetic leads as a preliminary step we first study the conductivity of a graphene strip connected to metallic contacts for a variety of lead parameters and demonstrate that the resulting conductivity is rather insensitive to them we then compute the conductivity of the spinvalve device in the parallel and antiparallel spin polarization configurations and find that it depends only weakly on the relative spin orientations of the leads so that the magnetoresistance mr of the system is very small the smallness of mr is a consequence of the near independence of the graphene conductivity from the electronic details of the leads our results indicate that although graphene has properties that make it attractive for spintronic devices the performance of an graphenebased spinvalve is likely to be poor | [['we', 'study', 'the', 'magnetoresistance', 'of', 'spinvalve', 'devices', 'using', 'graphene', 'as', 'a', 'nonmagnetic', 'material', 'to', 'connect', 'ferromagnetic', 'leads', 'as', 'a', 'preliminary', 'step', 'we', 'first', 'study', 'the', 'conductivity', 'of', 'a', 'graphene', 'strip', 'connected', 'to', 'metallic', 'contacts', 'for', 'a', 'variety', 'of', 'lead', 'parameters', 'and', 'demonstrate', 'that', 'the', 'resulting', 'conductivity', 'is', 'rather', 'insensitive', 'to', 'them', 'we', 'then', 'compute', 'the', 'conductivity', 'of', 'the', 'spinvalve', 'device', 'in', 'the', 'parallel', 'and', 'antiparallel', 'spin', 'polarization', 'configurations', 'and', 'find', 'that', 'it', 'depends', 'only', 'weakly', 'on', 'the', 'relative', 'spin', 'orientations', 'of', 'the', 'leads', 'so', 'that', 'the', 'magnetoresistance', 'mr', 'of', 'the', 'system', 'is', 'very', 'small', 'the', 'smallness', 'of', 'mr', 'is', 'a', 'consequence', 'of', 'the', 'near', 'independence', 'of', 'the', 'graphene', 'conductivity', 'from', 'the', 'electronic', 'details', 'of', 'the', 'leads', 'our', 'results', 'indicate', 'that', 'although', 'graphene', 'has', 'properties', 'that', 'make', 'it', 'attractive', 'for', 'spintronic', 'devices', 'the', 'performance', 'of', 'an', 'graphenebased', 'spinvalve', 'is', 'likely', 'to', 'be', 'poor']] | [-0.17909445546724848, 0.10511951638530352, -0.05922007664192048, -0.03320002167905405, -0.07967286068834627, -0.1434816862436005, 0.045180596330475296, 0.39147825184947166, -0.25469683169741447, -0.2745625080580128, 0.02736684079790278, -0.28539533552411994, -0.17811738317143697, 0.25766862919685285, -0.016996232556625152, -0.02346540397068143, 0.05343858478262915, -0.024641561218616093, -0.0684486669734199, -0.22224815814218052, 0.3007289520350062, 0.008710125315291676, 0.3250132454690379, 0.10435615430428634, 0.06266899509224254, -0.02716720245063672, 0.11287516290420326, 0.07019904121743437, -0.1016066973290794, 0.07078170779646492, 0.21577747926135665, -0.09384867098038151, 0.1878171523649272, -0.4592695714722217, -0.14131920648948618, 0.020207284574239502, 0.10731614587835075, 0.16796412681308115, -0.050884671592888175, -0.23008345446588707, 0.12728620392703255, -0.13041004625765582, -0.11345911874992504, -0.0963360526480935, 0.009420317961690081, 0.005463001145875443, -0.24926842448734482, 0.07591098138380428, 0.07895292757386645, 0.02213754654865266, -0.05904070523335487, -0.14054910590934475, -0.0649076028920474, 0.09112006417987212, 0.05769658539260567, 0.021327168201948975, 0.19965763590757696, -0.1461703193351023, -0.09734169711542487, 0.3702895104668667, -0.0211869894549854, -0.1405141316551033, 0.17697101407913937, -0.16051827786936307, -0.038190491953340004, 0.10844296484228066, 0.13227614501169818, 0.12194525479653877, -0.16541729339818195, 0.06783825386861589, -0.045486617715320955, 0.16396771414323488, 0.03505404052180304, 0.08730594022527442, 0.26269210035040397, 0.23744980320596779, 0.09663777457038597, 0.17849080606025947, -0.1504419224673282, 0.009679528353342287, -0.233871004603226, -0.2327248766683419, -0.24454983410714062, 0.11154329794800093, -0.09451557776177856, -0.246144163127559, 0.42717907283927353, 0.22417447954567124, 0.21186574791807314, -0.024009676276325758, 0.2720455493463177, 0.09932958466102514, 0.11883026560191327, 0.010393832154362135, 0.2706314621339093, 0.18873703727682292, 0.12907196028144952, -0.2882584197771355, 0.11334087228415612, -0.07043065534229062] |
710.202 | Valiron's construction in higher dimension | We consider holomorphic self-maps $\v$ of the unit ball $\B^N$ in $\C^N$
($N=1,2,3,...$). In the one-dimensional case, when $\v$ has no fixed points in
$\D\defeq \B^1$ and is of hyperbolic type, there is a classical renormalization
procedure due to Valiron which allows to semi-linearize the map $\phi$, and
therefore, in this case, the dynamical properties of $\phi$ are well
understood. In what follows, we generalize the classical Valiron construction
to higher dimensions under some weak assumptions on $\v$ at its Denjoy-Wolff
point. As a result, we construct a semi-conjugation $\sigma$, which maps the
ball into the right half plane of $\C$, and solves the functional equation
$\sigma\circ \v=\lambda \sigma$, where $\lambda>1$ is the (inverse of the)
boundary dilation coefficient at the Denjoy-Wolff point of $\v$.
| math.CV math.DS | we consider holomorphic selfmaps v of the unit ball bn in cn n123 in the onedimensional case when v has no fixed points in ddefeq b1 and is of hyperbolic type there is a classical renormalization procedure due to valiron which allows to semilinearize the map phi and therefore in this case the dynamical properties of phi are well understood in what follows we generalize the classical valiron construction to higher dimensions under some weak assumptions on v at its denjoywolff point as a result we construct a semiconjugation sigma which maps the ball into the right half plane of c and solves the functional equation sigmacirc vlambda sigma where lambda1 is the inverse of the boundary dilation coefficient at the denjoywolff point of v | [['we', 'consider', 'holomorphic', 'selfmaps', 'v', 'of', 'the', 'unit', 'ball', 'bn', 'in', 'cn', 'n123', 'in', 'the', 'onedimensional', 'case', 'when', 'v', 'has', 'no', 'fixed', 'points', 'in', 'ddefeq', 'b1', 'and', 'is', 'of', 'hyperbolic', 'type', 'there', 'is', 'a', 'classical', 'renormalization', 'procedure', 'due', 'to', 'valiron', 'which', 'allows', 'to', 'semilinearize', 'the', 'map', 'phi', 'and', 'therefore', 'in', 'this', 'case', 'the', 'dynamical', 'properties', 'of', 'phi', 'are', 'well', 'understood', 'in', 'what', 'follows', 'we', 'generalize', 'the', 'classical', 'valiron', 'construction', 'to', 'higher', 'dimensions', 'under', 'some', 'weak', 'assumptions', 'on', 'v', 'at', 'its', 'denjoywolff', 'point', 'as', 'a', 'result', 'we', 'construct', 'a', 'semiconjugation', 'sigma', 'which', 'maps', 'the', 'ball', 'into', 'the', 'right', 'half', 'plane', 'of', 'c', 'and', 'solves', 'the', 'functional', 'equation', 'sigmacirc', 'vlambda', 'sigma', 'where', 'lambda1', 'is', 'the', 'inverse', 'of', 'the', 'boundary', 'dilation', 'coefficient', 'at', 'the', 'denjoywolff', 'point', 'of', 'v']] | [-0.1390464982487322, 0.06681748583337398, -0.052778988357300195, 0.038005290948596546, -0.04596208663452871, -0.15507172274959796, 0.04351470133335125, 0.3435291904441225, -0.31140592168426007, -0.1610335495201795, 0.09665405590037959, -0.31028269034655614, -0.13600168534652973, 0.1578129754904317, -0.0663956890821578, 0.03283165914254505, -0.007129908664288317, 0.10847223297185529, -0.10874117011719239, -0.2230823843397306, 0.3472862702764086, -0.04492273751638708, 0.17292186316685768, 0.04533805131743761, 0.09631862552510953, 0.00795138455033908, 0.005022467529529903, -0.008393990156066612, -0.1894649265228006, 0.05716468281551772, 0.2014919256382599, 0.06475883709054774, 0.24595573970979853, -0.34585912593799395, -0.1862919522197141, 0.15383975512567696, 0.09660512570488622, 0.007372190079810779, 0.0010080345768133194, -0.24008628512104233, 0.12160068887997631, -0.06393949976910239, -0.20409118734693865, 0.012404146967682897, 0.08999026231694876, -0.011678694211688588, -0.26780162151236603, 0.07371468345702785, 0.12424548276926285, 0.049079990135581515, -0.04700619985521733, -0.12602359025050106, -0.06621062886764909, 0.08216610754488937, 0.004662424186812487, 0.12982227355317494, 0.1005891239406859, -0.10456820731657004, -0.042350504736650765, 0.4166990560668755, -0.09229384480343329, -0.2551507921813707, 0.1604276297086797, -0.20561257113392153, -0.15505080021599807, 0.09272177031687726, 0.10622710232600206, 0.11823926104338674, -0.08431721166615296, 0.228170720283491, -0.09405387998501794, 0.11197322399220126, 0.10635036445502949, -0.02651508911456004, 0.12207908320005953, 0.08898315157143141, 0.11571311701289795, 0.15229864756584288, -0.04987839869473402, -0.08060631321409975, -0.3712565059862592, -0.1658821518031778, -0.13279338920682032, 0.12622070876037705, -0.09995159217900865, -0.1641872014265462, 0.3477942896325414, 0.06199521890451481, 0.24855485815191414, 0.03843155049537195, 0.19705082201285334, 0.15946845840274668, 0.049006686435586005, 0.07624573665254605, 0.16110982077420552, 0.15158022589587827, 0.0677348677867766, -0.17701502932932198, -0.03162923393150171, 0.1444983744039768] |
710.2021 | Non-linear QCD | In this talk I give the mini-review on recent development in the non-linear
QCD (at low $x$).
| hep-ph | in this talk i give the minireview on recent development in the nonlinear qcd at low x | [['in', 'this', 'talk', 'i', 'give', 'the', 'minireview', 'on', 'recent', 'development', 'in', 'the', 'nonlinear', 'qcd', 'at', 'low', 'x']] | [-0.09688161505276666, 0.14055330634993665, -0.07089562694925595, -0.03749625523821177, -0.048078824889243525, -0.07796941456549308, -0.0032004979165161356, 0.33243026803521547, -0.17364755070165677, -0.18993760618340114, 0.10413394861525911, -0.28684533891432423, -0.11990941222757101, 0.10131751411758802, -0.08916087273289175, -0.04684735177194371, 0.04634341378422344, 0.03143151214017587, -0.09430163044153768, -0.31819521504289966, 0.31759735415963564, 0.04097682171884705, 0.27071911907371354, 0.19976146606838002, 0.0878695696592331, 0.007639662417418817, -0.10682301047970266, -0.09798193109386108, -0.1927016557139509, 0.14409066331298911, 0.3159354549339589, 0.06492793864077505, 0.2453785391853136, -0.4671223697197788, -0.14064314219114535, -0.004310764290173264, 0.08402704242069055, 0.11232871123973061, -0.11120532527702916, -0.23169429381104076, 0.08900984683457543, -0.17009246458902078, -0.10355967436643208, -0.039511875304229116, 0.040589305955697506, -0.025354803485028884, -0.15746610480196335, 0.02622744391727097, 0.02552448700675193, 0.11178375167005203, 0.07606874984305571, -0.2082628515713355, 0.1316142122480361, -0.05090024935848573, 0.04445160793907502, 0.15661507510744474, 0.02762958352618358, -0.20920958697302816, -0.1108092256986043, 0.3552680979756748, -0.07359013914623681, -0.08910202864995774, 0.17171136804801576, -0.24201169423758984, -0.29182868878192764, 0.09974521113669171, 0.30366629164885073, 0.11698452865376192, -0.09211583041092929, 0.15225888899808257, -0.015912707484162906, 0.07835623074103804, -0.022690270315198338, 0.06461785448824658, 0.2524523331838496, 0.24332986684406505, -0.00892079106586821, 0.03729373695986236, 0.017761322683380806, -0.039681082262712365, -0.4671717378146508, -0.08152095557135694, -0.11034251817995135, 0.13450614275301204, 0.0008575020029264338, -0.10390150612768005, 0.41674491943901076, 0.22940476819434585, 0.24543919326627955, -0.02698794023736435, 0.2834230873952894, 0.10604219943942393, -0.08540502913734492, -0.002095232334207086, 0.2775778751272489, 0.08611854330143508, 0.2961410440997604, -0.2305943422457751, 0.007533174261505551, 0.1158285687732346] |
710.2022 | Short distance modifications to Newton's law in SUSY braneworld
scenarios | In braneworld models coming from string theory one generally encounters
massless scalar degrees of freedom -moduli- parameterizing the volume of small
compact extra-dimensions. Here we discuss the effects of such moduli on
Newton's law for a fairly general 5-D supersymmetric braneworld scenario with a
bulk scalar field $\phi$. We show that the Newtonian potential describing the
gravitational interaction between two bodies localized on the visible brane
picks up a non-trivial contribution at short distances that depends on the
shape of the superpotential $W(\phi)$ of the theory. In particular, we compute
this contribution for dilatonic braneworld scenarios $W(\phi) = e^{\alpha
\phi}$ (where $\alpha$ is a constant) and discuss the particular case of 5-D
Heterotic M-theory.
| hep-ph gr-qc hep-th | in braneworld models coming from string theory one generally encounters massless scalar degrees of freedom moduli parameterizing the volume of small compact extradimensions here we discuss the effects of such moduli on newtons law for a fairly general 5d supersymmetric braneworld scenario with a bulk scalar field phi we show that the newtonian potential describing the gravitational interaction between two bodies localized on the visible brane picks up a nontrivial contribution at short distances that depends on the shape of the superpotential wphi of the theory in particular we compute this contribution for dilatonic braneworld scenarios wphi ealpha phi where alpha is a constant and discuss the particular case of 5d heterotic mtheory | [['in', 'braneworld', 'models', 'coming', 'from', 'string', 'theory', 'one', 'generally', 'encounters', 'massless', 'scalar', 'degrees', 'of', 'freedom', 'moduli', 'parameterizing', 'the', 'volume', 'of', 'small', 'compact', 'extradimensions', 'here', 'we', 'discuss', 'the', 'effects', 'of', 'such', 'moduli', 'on', 'newtons', 'law', 'for', 'a', 'fairly', 'general', '5d', 'supersymmetric', 'braneworld', 'scenario', 'with', 'a', 'bulk', 'scalar', 'field', 'phi', 'we', 'show', 'that', 'the', 'newtonian', 'potential', 'describing', 'the', 'gravitational', 'interaction', 'between', 'two', 'bodies', 'localized', 'on', 'the', 'visible', 'brane', 'picks', 'up', 'a', 'nontrivial', 'contribution', 'at', 'short', 'distances', 'that', 'depends', 'on', 'the', 'shape', 'of', 'the', 'superpotential', 'wphi', 'of', 'the', 'theory', 'in', 'particular', 'we', 'compute', 'this', 'contribution', 'for', 'dilatonic', 'braneworld', 'scenarios', 'wphi', 'ealpha', 'phi', 'where', 'alpha', 'is', 'a', 'constant', 'and', 'discuss', 'the', 'particular', 'case', 'of', '5d', 'heterotic', 'mtheory']] | [-0.1941780532520693, 0.18320283095096856, -0.060387650203882856, 0.12724440028083273, -0.10280756730935536, -0.16803912895080525, -0.03010265837656334, 0.2574880996191528, -0.20792023085090702, -0.24124258387405262, -0.0063741679614475735, -0.28533176391228904, -0.159860152069199, 0.1371226441197559, -0.050005493809230035, -0.04556047138387123, -0.02965148406070286, 0.05369472706925322, -0.07785551782812825, -0.2453213382545298, 0.40070666956707046, -0.015194524178462746, 0.1769434619587805, 0.06671812647409671, 0.09625750920628157, -0.0269714935921726, 0.024174419097783686, 0.011061022041645725, -0.17837005870200928, 0.11572573423814193, 0.158798068462964, 0.05708069139597031, 0.14618276035314245, -0.4091113924535107, -0.23592115593422514, 0.11146208006410604, 0.13076161171425035, 0.14235679140990287, -0.05216280049417761, -0.23960794279953482, 0.05293841844020757, -0.18796115277944941, -0.1740528265245061, -0.0326807424817564, 0.061102591798047376, -0.07459857670458413, -0.24051958510643942, 0.07860451790842071, -0.021915806156574888, -0.009702250143292615, -0.082343113501515, -0.08720043388018138, -0.04452921630633352, 0.025542452424533863, 0.18768320556326185, 0.06588228101908039, 0.156797400477911, -0.19278523506054787, -0.07639871978827348, 0.4164955767811136, -0.13322761721612342, -0.22893570576159827, 0.13826535921131747, -0.1616684305110732, -0.1494392666644293, 0.08345297597909132, 0.16924562067024213, 0.20847050558737804, -0.08799160778495706, 0.27626825821229495, 0.0071566875002025505, 0.16264604522838397, 0.11993201756932304, 0.056567529857723224, 0.2996923577656508, 0.11618323044323947, 0.013650370499044986, 0.12616338569256766, -0.04715598947615816, -0.14643076897096052, -0.4633183733485969, -0.11947407157251001, -0.1278038006605564, 0.12541580888385004, -0.20565691594417163, -0.1922312048473756, 0.37244860992758677, 0.0581910043070917, 0.16524416434092332, 0.06365500661684612, 0.22538492158549814, 0.023472270477085118, 0.024418429457129236, 0.027351464363293047, 0.31526088370092675, 0.10766939022701925, 0.07857646549582085, -0.2433711363402385, -0.13339373797582116, 0.11391641227816916] |
710.2023 | Model of World; her cities, languages and countries | The time evolution of Earth with her cities, languages and countries is
considered in terms of the multiplicative noise and the fragmentation-
processes, where the related families, size distributions, lifetimes,
bilinguals, etc. are studied. Earlier we treated the cities and the languages
differently (and as connected; languages split since cities split, etc.).
Hence, two dis- tributions are obtained in the same computation at the same
time. The same approach is followed here and Pareto-Zipf law for the
distribution of the cities, log-normal for the languages, decreasing
exponential for the city families (countries) in the rank order over
population, and power law -2 for the language families over the number of
languages in rank order are obtained theoretically in this combination for the
first time (up to our knowledge) in the literature; all of which are in good
agreement with the present empirical data.
| physics.soc-ph | the time evolution of earth with her cities languages and countries is considered in terms of the multiplicative noise and the fragmentation processes where the related families size distributions lifetimes bilinguals etc are studied earlier we treated the cities and the languages differently and as connected languages split since cities split etc hence two dis tributions are obtained in the same computation at the same time the same approach is followed here and paretozipf law for the distribution of the cities lognormal for the languages decreasing exponential for the city families countries in the rank order over population and power law 2 for the language families over the number of languages in rank order are obtained theoretically in this combination for the first time up to our knowledge in the literature all of which are in good agreement with the present empirical data | [['the', 'time', 'evolution', 'of', 'earth', 'with', 'her', 'cities', 'languages', 'and', 'countries', 'is', 'considered', 'in', 'terms', 'of', 'the', 'multiplicative', 'noise', 'and', 'the', 'fragmentation', 'processes', 'where', 'the', 'related', 'families', 'size', 'distributions', 'lifetimes', 'bilinguals', 'etc', 'are', 'studied', 'earlier', 'we', 'treated', 'the', 'cities', 'and', 'the', 'languages', 'differently', 'and', 'as', 'connected', 'languages', 'split', 'since', 'cities', 'split', 'etc', 'hence', 'two', 'dis', 'tributions', 'are', 'obtained', 'in', 'the', 'same', 'computation', 'at', 'the', 'same', 'time', 'the', 'same', 'approach', 'is', 'followed', 'here', 'and', 'paretozipf', 'law', 'for', 'the', 'distribution', 'of', 'the', 'cities', 'lognormal', 'for', 'the', 'languages', 'decreasing', 'exponential', 'for', 'the', 'city', 'families', 'countries', 'in', 'the', 'rank', 'order', 'over', 'population', 'and', 'power', 'law', '2', 'for', 'the', 'language', 'families', 'over', 'the', 'number', 'of', 'languages', 'in', 'rank', 'order', 'are', 'obtained', 'theoretically', 'in', 'this', 'combination', 'for', 'the', 'first', 'time', 'up', 'to', 'our', 'knowledge', 'in', 'the', 'literature', 'all', 'of', 'which', 'are', 'in', 'good', 'agreement', 'with', 'the', 'present', 'empirical', 'data']] | [-0.0816497930664156, 0.1118878657195035, -0.054309628507069926, 0.11465127373353617, 0.0018298294752652586, -0.06924416925626951, 0.06254703372972689, 0.3725676853209734, -0.26052646039867067, -0.31634225216235073, 0.08591950507129503, -0.29471460422894485, -0.07240478761336754, 0.21041131333749688, -0.06542952363949078, 0.03817212285185364, 0.014280265237329344, 0.047394258009505946, -0.022332370278760005, -0.29822744897396214, 0.3252415281809001, 0.005937269874061392, 0.28890071883076196, -0.00884099281065061, 0.054791238707405, -0.04053371006132142, -0.06790774215248899, 0.016926639372299254, -0.09694941944613213, 0.12789731852802066, 0.3275046074061169, 0.12194074740515314, 0.24791859982627062, -0.4028573200421434, -0.16651219811329854, 0.08510584855275097, 0.12477549513093603, 0.06062917660021643, 0.01641630296739684, -0.24989400563505806, 0.062194212146339495, -0.20566321267995616, -0.10856234438350083, -0.02517982721853424, 0.07788753133221255, 0.06750455584941091, -0.23746759462101438, 0.08267360924690648, 0.06852636813566508, 0.08328245777282602, -0.04332173906896316, -0.16657382106526533, -0.017736739057614664, 0.18383291998589543, 0.08965754960204514, -0.014095777198901847, 0.07588046850820243, -0.09256633226989283, -0.1338464500149712, 0.37073021426364045, -0.023152961335013766, -0.14097813883481522, 0.1900224515407438, -0.18280352989021478, -0.15904527282814535, 0.06062334547849031, 0.19200307570240446, 0.08654178241786341, -0.14671245153048929, 0.07764488415428582, -0.042450767403966944, 0.14559811598155648, 0.13041491776993366, 0.012765129640709501, 0.15053114286807537, 0.17381425304207163, 0.04563030712700016, 0.09527529994825977, -0.03905415036518809, -0.1338592224367435, -0.26396095990137736, -0.1330340602385982, -0.16143147465133462, -0.017667564874987156, -0.12043222900038146, -0.14031977994813466, 0.4230760887468522, 0.08950054862792275, 0.16316538755978707, 0.1560127021110302, 0.2656553742593863, 0.09687131433091847, 0.09554854479723308, 0.11733403786110756, 0.15307497109194668, 0.049598034163018764, 0.14093880419140603, -0.16872999567085956, 0.1256173417487831, 0.010283136691137309] |
710.2024 | Ratios: A short guide to confidence limits and proper use | Researchers often calculate ratios of measured quantities. Specifying
confidence limits for ratios is difficult and the appropriate methods are often
unknown. Appropriate methods are described (Fieller, Taylor, special bootstrap
methods). For the Fieller method a simple geometrical interpretation is given.
Monte Carlo simulations show when these methods are appropriate and that the
most frequently used methods (index method and zero-variance method) can lead
to large liberal deviations from the desired confidence level. It is discussed
when we can use standard regression or measurement error models and when we
have to resort to specific models for heteroscedastic data. Finally, an old
warning is repeated that we should be aware of the problems of spurious
correlations if we use ratios.
| stat.AP stat.ME | researchers often calculate ratios of measured quantities specifying confidence limits for ratios is difficult and the appropriate methods are often unknown appropriate methods are described fieller taylor special bootstrap methods for the fieller method a simple geometrical interpretation is given monte carlo simulations show when these methods are appropriate and that the most frequently used methods index method and zerovariance method can lead to large liberal deviations from the desired confidence level it is discussed when we can use standard regression or measurement error models and when we have to resort to specific models for heteroscedastic data finally an old warning is repeated that we should be aware of the problems of spurious correlations if we use ratios | [['researchers', 'often', 'calculate', 'ratios', 'of', 'measured', 'quantities', 'specifying', 'confidence', 'limits', 'for', 'ratios', 'is', 'difficult', 'and', 'the', 'appropriate', 'methods', 'are', 'often', 'unknown', 'appropriate', 'methods', 'are', 'described', 'fieller', 'taylor', 'special', 'bootstrap', 'methods', 'for', 'the', 'fieller', 'method', 'a', 'simple', 'geometrical', 'interpretation', 'is', 'given', 'monte', 'carlo', 'simulations', 'show', 'when', 'these', 'methods', 'are', 'appropriate', 'and', 'that', 'the', 'most', 'frequently', 'used', 'methods', 'index', 'method', 'and', 'zerovariance', 'method', 'can', 'lead', 'to', 'large', 'liberal', 'deviations', 'from', 'the', 'desired', 'confidence', 'level', 'it', 'is', 'discussed', 'when', 'we', 'can', 'use', 'standard', 'regression', 'or', 'measurement', 'error', 'models', 'and', 'when', 'we', 'have', 'to', 'resort', 'to', 'specific', 'models', 'for', 'heteroscedastic', 'data', 'finally', 'an', 'old', 'warning', 'is', 'repeated', 'that', 'we', 'should', 'be', 'aware', 'of', 'the', 'problems', 'of', 'spurious', 'correlations', 'if', 'we', 'use', 'ratios']] | [-0.02214296758017045, 0.06302247642871422, -0.10235287399836264, 0.1951297744122034, -0.08751106751546012, -0.18600128050025364, 0.0475522055551094, 0.44120218472208006, -0.2387545191163939, -0.3291950613512831, 0.14593290004847667, -0.2576273508809933, -0.13241527856611726, 0.2339597507912697, -0.1060418708395939, 0.1159777283023301, 0.11163605879834396, 0.007767081686879619, -0.10048654908314347, -0.263239444091411, 0.27306399718558383, 0.08726865593817527, 0.27341063517161596, -0.0031027577233390283, 0.06475918037201261, -0.027786867682830927, -0.05436581518437903, 0.049662549222298596, -0.13226713999078343, 0.10318323454456561, 0.2785229090771019, 0.15925097457622572, 0.2841130293179619, -0.3966463448211424, -0.17561491105066201, 0.14531139082717315, 0.15190050033142127, 0.14331994256620312, 0.029860448183973272, -0.2592363503714234, 0.09777302950841643, -0.1624670779841589, -0.1093518678098917, -0.15318537190146111, -0.03629139484048395, 0.03649454559909843, -0.3414540260051519, 0.11370428356389373, -0.002584285150140019, 0.062165631328598925, -0.004808317266120497, -0.1693265174843087, 0.01851917023699478, 0.11253543449955464, 0.07417891011573374, -0.04116356390270886, 0.12706054998088187, -0.09290701577881888, -0.12318589473616774, 0.3612884993870127, -0.03876375506081524, -0.2663937412770623, 0.20554178891608776, -0.08595432239975306, -0.1823824052777836, 0.11115016325444015, 0.17238520862439932, 0.131205860908159, -0.17012734546597902, 0.04393386192649645, 0.019081899612131765, 0.15441873450211044, 0.023161156391093538, -0.04745099528582167, 0.187419926108382, 0.11084014243718585, 0.005317906649799039, 0.059221672705646954, -0.11001841602373426, -0.07406246914504633, -0.28088041688552345, -0.09715640689325282, -0.16050902867721298, 0.0019348560856118546, -0.12397587153679786, -0.16900180906878184, 0.2991091001964316, 0.24537174168284054, 0.1606246324974286, 0.0555438261431784, 0.3200143454912103, 0.19754288508951412, 0.05876109488624132, 0.0641874227361059, 0.22633856453664475, 0.08299159746364516, 0.01827634230919056, -0.11862988799802517, 0.133413192456967, 0.05114144704430917] |
710.2025 | Mechanisms of exchange bias with multiferroic BiFeO3 epitaxial thin
films | We have combined neutron scattering and piezoresponse force microscopy to
study the relation between the exchange bias observed in CoFeB/BiFeO3
heterostructures and the multiferroic domain structure of the BiFeO3 films. We
show that the exchange field scales with the inverse of the ferroelectric and
antiferromagnetic domain size, as expected from Malozemoff's model of exchange
bias extended to multiferroics. Accordingly, polarized neutron reflectometry
reveals the presence of uncompensated spins in the BiFeO3 film at the interface
with the CoFeB. In view of these results we discuss possible strategies to
switch the magnetization of a ferromagnet by an electric field using BiFeO3.
| cond-mat.mtrl-sci cond-mat.str-el | we have combined neutron scattering and piezoresponse force microscopy to study the relation between the exchange bias observed in cofebbifeo3 heterostructures and the multiferroic domain structure of the bifeo3 films we show that the exchange field scales with the inverse of the ferroelectric and antiferromagnetic domain size as expected from malozemoffs model of exchange bias extended to multiferroics accordingly polarized neutron reflectometry reveals the presence of uncompensated spins in the bifeo3 film at the interface with the cofeb in view of these results we discuss possible strategies to switch the magnetization of a ferromagnet by an electric field using bifeo3 | [['we', 'have', 'combined', 'neutron', 'scattering', 'and', 'piezoresponse', 'force', 'microscopy', 'to', 'study', 'the', 'relation', 'between', 'the', 'exchange', 'bias', 'observed', 'in', 'cofebbifeo3', 'heterostructures', 'and', 'the', 'multiferroic', 'domain', 'structure', 'of', 'the', 'bifeo3', 'films', 'we', 'show', 'that', 'the', 'exchange', 'field', 'scales', 'with', 'the', 'inverse', 'of', 'the', 'ferroelectric', 'and', 'antiferromagnetic', 'domain', 'size', 'as', 'expected', 'from', 'malozemoffs', 'model', 'of', 'exchange', 'bias', 'extended', 'to', 'multiferroics', 'accordingly', 'polarized', 'neutron', 'reflectometry', 'reveals', 'the', 'presence', 'of', 'uncompensated', 'spins', 'in', 'the', 'bifeo3', 'film', 'at', 'the', 'interface', 'with', 'the', 'cofeb', 'in', 'view', 'of', 'these', 'results', 'we', 'discuss', 'possible', 'strategies', 'to', 'switch', 'the', 'magnetization', 'of', 'a', 'ferromagnet', 'by', 'an', 'electric', 'field', 'using', 'bifeo3']] | [-0.17418544770845648, 0.15377097249126695, -0.05016645495019549, 0.008720263306583678, -0.09643682816579026, -0.07377719927617178, 0.09656119247725024, 0.4752822450685258, -0.3241601589763043, -0.3025760466460975, 0.013204842046787011, -0.3125859277265869, -0.10062820880616806, 0.20535087616572498, 0.08598736062531873, -0.03775722052597878, -0.08173808743416959, -0.06716084891303005, -0.0683458717427055, -0.17308484134739455, 0.29495281927814415, -0.02141549001561896, 0.32809243030009827, 0.08707495266571641, 0.07679877773269403, 0.04597029445350778, 0.12484680893545856, 0.0436540872941972, -0.1496593789320008, 0.07054476765915751, 0.24861029196977236, -0.12286648259745264, 0.1440058736467962, -0.5065077569867883, -0.17368747571445242, -0.009455208279363508, 0.085673506732802, 0.1460712052007415, -0.09444517220551034, -0.2727804511752246, 0.08163055323292406, -0.12313356303356883, -0.08392670987873595, -0.08817097847349942, -0.03540277526457319, 0.03723476976108718, -0.2633159287797753, 0.0656581455889177, 0.08704538556523811, 0.12070823207079452, -0.14265725174348573, -0.1257845256857726, -0.05498207807160762, 0.049041229970182995, 0.15756041307491725, 0.11986541978264113, 0.18899522523742587, -0.13324485500628241, -0.17811702478829086, 0.29679093211509133, -0.04450762200606417, -0.0849320697978291, 0.1349707980621226, -0.24438648929876483, -0.023454566205832725, 0.10014768562526727, 0.14506734878879649, 0.12209329141151844, -0.1589519798723572, 0.08926289163741322, 0.03904432218939978, 0.24597750621258604, 0.0752163191078877, 0.03531698307155499, 0.24379984445261713, 0.22895350075345866, 0.02880767713139328, 0.20127186300090458, -0.17295171438754364, -0.018613400251951486, -0.21407006119320893, -0.14942101137213676, -0.20414202734447864, 0.05725085927762699, -0.12146614544163102, -0.18031611732606376, 0.3479362587463491, 0.180405352126845, 0.10231520946384692, -0.08496598579341127, 0.27672976518182885, 0.047162655179094216, 0.10225889184607231, -0.014802300461510919, 0.2825235001723833, 0.23130801834441644, 0.18885235422842053, -0.3424223029905246, 0.10898378441034227, -0.045526825010358374] |
710.2026 | Concerning the Strauss conjecture and almost global existence for
nonlinear Dirichlet-wave equations in 4-dimensions | We show the obstacle version of the Strauss conjecture holds when the spatial
dimension is equal to 4. We also show that an almost global existence theorem
of H\"ormander for (4+1)-dimensional Minkowski space holds in the obstacle
setting. We use weighed space-time variants of the energy inequality and a
variant of the classical Hardy inequality.
| math.AP | we show the obstacle version of the strauss conjecture holds when the spatial dimension is equal to 4 we also show that an almost global existence theorem of hormander for 41dimensional minkowski space holds in the obstacle setting we use weighed spacetime variants of the energy inequality and a variant of the classical hardy inequality | [['we', 'show', 'the', 'obstacle', 'version', 'of', 'the', 'strauss', 'conjecture', 'holds', 'when', 'the', 'spatial', 'dimension', 'is', 'equal', 'to', '4', 'we', 'also', 'show', 'that', 'an', 'almost', 'global', 'existence', 'theorem', 'of', 'hormander', 'for', '41dimensional', 'minkowski', 'space', 'holds', 'in', 'the', 'obstacle', 'setting', 'we', 'use', 'weighed', 'spacetime', 'variants', 'of', 'the', 'energy', 'inequality', 'and', 'a', 'variant', 'of', 'the', 'classical', 'hardy', 'inequality']] | [-0.1467321775853634, 0.05831295443428892, -0.09523739901117304, 0.14282307862939145, -0.03948556166988882, -0.13037514208223333, -0.018953847495669668, 0.2847018803046508, -0.2715608357197859, -0.21885317245667632, 0.12260157806290821, -0.25493550471199505, -0.13138716424053365, 0.1952469484245574, -0.1343417956747792, 0.035462423402350396, 0.027291067012331704, 0.046511442176151004, -0.06524260488169437, -0.32907503566239027, 0.4111739132214676, -0.0557932906974615, 0.2487460749710656, 0.10052587108855898, 0.10026631572029808, 0.08669489666565576, 0.04224712322042747, 0.000674532090885226, -0.19926615369741657, 0.1518087572608651, 0.15329735231670466, 0.13637542315885764, 0.3185651375065473, -0.3715960439209911, -0.17938313891433857, 0.21806219096549534, 0.1257124042985114, 0.06929556999186223, -0.018791539539498362, -0.2781149561093612, 0.09563885357400233, -0.08320792326703667, -0.28805252932943404, -0.03801953599110923, 0.003226503746753389, -0.032658649743957956, -0.2932085023515604, 0.15460326127570376, 0.18409686063162306, 0.012307379343970255, -0.15781403903595426, -0.045209811306135224, 0.0150778293101625, 0.03865894165196964, 0.0519401564643803, 0.042467779987915, 0.04284887191077525, -0.06594448865137317, -0.158064343822612, 0.3291722397150641, -0.07479249183935198, -0.24749686900864948, 0.10551969014446844, -0.17206349858844822, -0.15947788459333506, 0.0019207625395872376, 0.10042690665207125, 0.13046264424073425, -0.054651899548215706, 0.20515606342285703, -0.1457761926068501, 0.13892250711267645, 0.1783491506833922, 0.05968784743242643, 0.013966645740649916, 0.08910796845077791, 0.2181956442750313, 0.18388208638538014, -0.059738761907051824, -0.10290377436375076, -0.35850990907373753, -0.2469395584511486, -0.20617137601260435, 0.11608530159362337, -0.17284713941176463, -0.14244011369618503, 0.2634160267951136, 0.10307671762473712, 0.08930708914360201, 0.1241801542907276, 0.22163618454201656, 0.09468069025738672, 0.012207787136801264, 0.1284025290218944, 0.2275150756266984, 0.19361223686825146, 0.12185796235942027, -0.10828558349643241, -0.026827042922377586, 0.20121119783513924] |
710.2027 | TenTen: A New Array of Multi-TeV Imaging Cherenkov Telescopes | The exciting results from H.E.S.S. point to a new population of gamma-ray
sources at energies E > 10 TeV, paving the way for future studies and new
discoveries in the multi-TeV energy range. Connected with these energies is the
search for sources of PeV cosmic-rays (CRs) and the study of multi-TeV
gamma-ray production in a growing number of astrophysical environments. TenTen
is a proposed stereoscopic array (with a suggested site in Australia) of
modest-sized (10 to 30m^2) Cherenkov imaging telescopes with a wide field of
view (8 to 10deg diameter) optimised for the E~10 to 100 TeV range. TenTen will
achieve an effective area of ~10 km^2 at energies above 10 TeV. We outline here
the motivation for TenTen and summarise key performance parameters.
| astro-ph | the exciting results from hess point to a new population of gammaray sources at energies e 10 tev paving the way for future studies and new discoveries in the multitev energy range connected with these energies is the search for sources of pev cosmicrays crs and the study of multitev gammaray production in a growing number of astrophysical environments tenten is a proposed stereoscopic array with a suggested site in australia of modestsized 10 to 30m2 cherenkov imaging telescopes with a wide field of view 8 to 10deg diameter optimised for the e10 to 100 tev range tenten will achieve an effective area of 10 km2 at energies above 10 tev we outline here the motivation for tenten and summarise key performance parameters | [['the', 'exciting', 'results', 'from', 'hess', 'point', 'to', 'a', 'new', 'population', 'of', 'gammaray', 'sources', 'at', 'energies', 'e', '10', 'tev', 'paving', 'the', 'way', 'for', 'future', 'studies', 'and', 'new', 'discoveries', 'in', 'the', 'multitev', 'energy', 'range', 'connected', 'with', 'these', 'energies', 'is', 'the', 'search', 'for', 'sources', 'of', 'pev', 'cosmicrays', 'crs', 'and', 'the', 'study', 'of', 'multitev', 'gammaray', 'production', 'in', 'a', 'growing', 'number', 'of', 'astrophysical', 'environments', 'tenten', 'is', 'a', 'proposed', 'stereoscopic', 'array', 'with', 'a', 'suggested', 'site', 'in', 'australia', 'of', 'modestsized', '10', 'to', '30m2', 'cherenkov', 'imaging', 'telescopes', 'with', 'a', 'wide', 'field', 'of', 'view', '8', 'to', '10deg', 'diameter', 'optimised', 'for', 'the', 'e10', 'to', '100', 'tev', 'range', 'tenten', 'will', 'achieve', 'an', 'effective', 'area', 'of', '10', 'km2', 'at', 'energies', 'above', '10', 'tev', 'we', 'outline', 'here', 'the', 'motivation', 'for', 'tenten', 'and', 'summarise', 'key', 'performance', 'parameters']] | [-0.07836229816178379, 0.20598121803956676, 0.023575581247597687, 0.11342283985081328, -0.0759935346584706, -0.07508403756350401, 0.0059246671019641105, 0.4014000278211974, -0.20149196782454726, -0.44483266329988225, 0.05149771990617127, -0.32218843729036756, 0.01744865575713701, 0.2848774211034637, 0.024830331797348944, -0.004964699899991517, 0.11957030918174347, -0.059075810583919044, -0.01192944992684805, -0.19001193920371778, 0.22565897978979665, 0.2229345605296434, 0.2008718925825946, 0.1219350200100634, 0.12034172942235943, -0.0536925674007717, -0.010706087373498614, -0.05750854601930888, -0.12012542716249419, 0.13485196887011655, 0.3213511831775979, 0.10952238014090013, 0.20357077242424865, -0.3168905500444721, -0.20968351215620326, 0.11511291279533847, 0.1332617672122099, 0.007002938054043983, -0.10003087831447359, -0.3038448914580169, 0.1065179181917853, -0.21093003383120063, -0.2432318390690584, 0.07862184366944139, 0.008468036369046533, 0.03586882678982725, -0.21323952831797394, -0.008734040230667203, -0.07298611438848444, 0.06445936927405858, -0.10189422694431832, -0.16629979554869112, 0.06288151381934276, 0.04589795140305259, 0.04307616750144812, 0.08008235790404171, 0.141103828203727, -0.15742185344866125, -0.1532503740082411, 0.35982386072044126, -0.009890373242774704, -0.03637019208571339, 0.22785339828153126, -0.19587541031116834, -0.2128001792760963, 0.2275689935204802, 0.2253043547093288, 0.07477616689923662, -0.2017621897451091, 0.08259468607949932, 0.021443073246790265, 0.18217793419946665, 0.04564944897076023, 0.04215795716252197, 0.26225145822429086, 0.25286919309864525, 0.1404412480335507, 0.07926084925077062, -0.2620687120647521, 0.015892635611053862, -0.32459692781233823, -0.11289393472042485, -0.13232780800231533, 0.12864250827153198, -0.0794614473254979, -0.027183029271059166, 0.41338471991208486, 0.16796605327151348, 0.1778526536616512, 0.01724106210310653, 0.2537541774819132, -0.010940141869006588, 0.07513629229162958, 0.07928769517170846, 0.32956833612234865, 0.06958244614242041, 0.16555345807506963, -0.09028546287502605, -0.0730523290761487, -0.027666135469726363] |
710.2028 | Higher string functions, higher-level Appell functions, and the
logarithmic ^sl(2)_k/u(1) CFT model | We generalize the string functions C_{n,r}(tau) associated with the coset
^sl(2)_k/u(1) to higher string functions A_{n,r}(tau) and B_{n,r}(tau)
associated with the coset W(k)/u(1) of the W-algebra of the logarithmically
extended ^sl(2)_k conformal field model with positive integer k. The higher
string functions occur in decomposing W(k) characters with respect to level-k
theta and Appell functions and their derivatives (the characters are neither
quasiperiodic nor holomorphic, and therefore cannot decompose with respect to
only theta-functions). The decomposition coefficients, to be considered
``logarithmic parafermionic characters,'' are given by A_{n,r}(tau),
B_{n,r}(tau), C_{n,r}(tau), and by the triplet \mathscr{W}(p)-algebra
characters of the (p=k+2,1) logarithmic model. We study the properties of
A_{n,r} and B_{n,r}, which nontrivially generalize those of the classic string
functions C_{n,r}, and evaluate the modular group representation generated from
A_{n,r}(tau) and B_{n,r}(tau); its structure inherits some features of modular
transformations of the higher-level Appell functions and the associated
transcendental function Phi.
| math.QA hep-th math-ph math.CO math.MP | we generalize the string functions c_nrtau associated with the coset sl2_ku1 to higher string functions a_nrtau and b_nrtau associated with the coset wku1 of the walgebra of the logarithmically extended sl2_k conformal field model with positive integer k the higher string functions occur in decomposing wk characters with respect to levelk theta and appell functions and their derivatives the characters are neither quasiperiodic nor holomorphic and therefore cannot decompose with respect to only thetafunctions the decomposition coefficients to be considered logarithmic parafermionic characters are given by a_nrtau b_nrtau c_nrtau and by the triplet mathscrwpalgebra characters of the pk21 logarithmic model we study the properties of a_nr and b_nr which nontrivially generalize those of the classic string functions c_nr and evaluate the modular group representation generated from a_nrtau and b_nrtau its structure inherits some features of modular transformations of the higherlevel appell functions and the associated transcendental function phi | [['we', 'generalize', 'the', 'string', 'functions', 'c_nrtau', 'associated', 'with', 'the', 'coset', 'sl2_ku1', 'to', 'higher', 'string', 'functions', 'a_nrtau', 'and', 'b_nrtau', 'associated', 'with', 'the', 'coset', 'wku1', 'of', 'the', 'walgebra', 'of', 'the', 'logarithmically', 'extended', 'sl2_k', 'conformal', 'field', 'model', 'with', 'positive', 'integer', 'k', 'the', 'higher', 'string', 'functions', 'occur', 'in', 'decomposing', 'wk', 'characters', 'with', 'respect', 'to', 'levelk', 'theta', 'and', 'appell', 'functions', 'and', 'their', 'derivatives', 'the', 'characters', 'are', 'neither', 'quasiperiodic', 'nor', 'holomorphic', 'and', 'therefore', 'can', 'not', 'decompose', 'with', 'respect', 'to', 'only', 'thetafunctions', 'the', 'decomposition', 'coefficients', 'to', 'be', 'considered', 'logarithmic', 'parafermionic', 'characters', 'are', 'given', 'by', 'a_nrtau', 'b_nrtau', 'c_nrtau', 'and', 'by', 'the', 'triplet', 'mathscrwpalgebra', 'characters', 'of', 'the', 'pk21', 'logarithmic', 'model', 'we', 'study', 'the', 'properties', 'of', 'a_nr', 'and', 'b_nr', 'which', 'nontrivially', 'generalize', 'those', 'of', 'the', 'classic', 'string', 'functions', 'c_nr', 'and', 'evaluate', 'the', 'modular', 'group', 'representation', 'generated', 'from', 'a_nrtau', 'and', 'b_nrtau', 'its', 'structure', 'inherits', 'some', 'features', 'of', 'modular', 'transformations', 'of', 'the', 'higherlevel', 'appell', 'functions', 'and', 'the', 'associated', 'transcendental', 'function', 'phi']] | [-0.14063310590803835, 0.11759480040195128, -0.07496560218327857, 0.08291314916143604, -0.1261504484036713, -0.1403521281099013, -0.020298409993605066, 0.33114003189277985, -0.314344428347569, -0.2102421482220781, 0.08462423588733803, -0.2751782579704168, -0.18276025972276239, 0.15310422659699693, -0.0348899466107791, 0.03461216370276248, -0.03067512141337539, 0.10694957349171981, -0.1434195503684963, -0.26737597795923285, 0.38099132815759024, -7.610476793760949e-05, 0.21449219067052588, -0.005471119878430527, 0.09378899203230304, 0.011065066504747943, -0.05285173654969095, -0.06621053347245176, -0.09172964452085554, 0.14188086069750447, 0.2474395038678925, 0.08312284766121748, 0.14508612505952886, -0.3897803690736942, -0.13406252326007853, 0.13338617737411607, 0.11621849783134798, -0.0005335101654673827, 0.06684173838770453, -0.2846175950245126, 0.11471737902743596, -0.16866414773390226, -0.1392826067022847, -0.1001798445490975, 0.009421605931377, 0.05543097300481395, -0.23748512821914364, 0.049994651677337944, 0.06206856902477378, 0.07016166535714734, -0.09278925790382113, -0.14864424859497247, -0.0810225002982832, 0.0908836338583195, 0.055077767136658656, 0.10782083293426359, 0.08993687337687147, -0.18638492967550113, -0.13715187208198593, 0.344142334588559, -0.06899146139225427, -0.26722921314814413, 0.13421061378738558, -0.18362017660831095, -0.1426894895910741, 0.10270911800602438, 0.09113570499227297, 0.12358048752425833, -0.0601789639261221, 0.17617886702667143, -0.058125666118101445, 0.12213219157981535, 0.11176061025219607, 0.04890099273505786, 0.14835048274381468, -0.02125839571343035, -0.014537046677911825, 0.19639723219476138, 0.03553178914243038, -0.08445668025751407, -0.34373455966578415, -0.1349224858506127, -0.12485710667538727, 0.0465423378194286, -0.1276520729214176, -0.2014164545883735, 0.4416652986026825, 0.049999289063828445, 0.20856503907141957, 0.14184759438767738, 0.14473749770195032, 0.1726583271169315, 0.15354682245053985, 0.05027334168157045, 0.08934648594829743, 0.18107221110935276, -0.007192171288568342, -0.2090535385943685, -0.006019538715944117, 0.16433426859319633] |
710.2029 | Volume Weighting in the No Boundary Proposal | It has been suggested that the no boundary proposal would predict little or
no slow roll inflation leading to an empty deSitter universe. However it is
argued that the probability for the whole universe should be multiplied by a
zero mode factor $e^{3N}$ which counts the number of Hubble volumes in the
universe. This volume weighting is similar to that in eternal inflation but
derived in a gauge invariant manner. It predicts that inflation began at a
saddle point in the potential and that the universe was always in the
semi-classical regime.
| hep-th | it has been suggested that the no boundary proposal would predict little or no slow roll inflation leading to an empty desitter universe however it is argued that the probability for the whole universe should be multiplied by a zero mode factor e3n which counts the number of hubble volumes in the universe this volume weighting is similar to that in eternal inflation but derived in a gauge invariant manner it predicts that inflation began at a saddle point in the potential and that the universe was always in the semiclassical regime | [['it', 'has', 'been', 'suggested', 'that', 'the', 'no', 'boundary', 'proposal', 'would', 'predict', 'little', 'or', 'no', 'slow', 'roll', 'inflation', 'leading', 'to', 'an', 'empty', 'desitter', 'universe', 'however', 'it', 'is', 'argued', 'that', 'the', 'probability', 'for', 'the', 'whole', 'universe', 'should', 'be', 'multiplied', 'by', 'a', 'zero', 'mode', 'factor', 'e3n', 'which', 'counts', 'the', 'number', 'of', 'hubble', 'volumes', 'in', 'the', 'universe', 'this', 'volume', 'weighting', 'is', 'similar', 'to', 'that', 'in', 'eternal', 'inflation', 'but', 'derived', 'in', 'a', 'gauge', 'invariant', 'manner', 'it', 'predicts', 'that', 'inflation', 'began', 'at', 'a', 'saddle', 'point', 'in', 'the', 'potential', 'and', 'that', 'the', 'universe', 'was', 'always', 'in', 'the', 'semiclassical', 'regime']] | [-0.12374293158895203, 0.1835695848722525, -0.1754430980590469, 0.13489026621439504, -0.07122990206538976, -0.13185103638814047, 0.015808704616194897, 0.3252412408365162, -0.18975515397531645, -0.25423592477422824, 0.09831442010133518, -0.2248284623518095, -0.12960737475173567, 0.13910319576050145, -0.08262320982476512, -0.0043325137428857465, 0.025284705980384087, 0.08706996832452304, 0.011003053299366282, -0.3017000982148962, 0.29564091304296647, 0.11844457872723649, 0.2785420036762134, -0.01867916099317781, 0.09989209028452144, -0.10215655910260565, 0.004642273998847436, 0.04523714121071632, -0.1365360427734341, 0.008795565196343667, 0.20467699882011492, 0.14127354183398022, 0.2989798069286805, -0.3979941922557223, -0.2519760138488242, 0.18679128477738782, 0.19272920877191718, 0.15542052575555926, -0.04797326635113907, -0.2391784463773717, 0.06494452891830396, -0.15398021237310636, -0.14728697180712166, -0.0581302256579255, 0.06378793807004343, -0.13811419737540637, -0.2404691622756258, 0.07678823201382369, -0.007410638228795685, -0.05512614239130046, -0.03481856664990658, -0.02654484781861346, -0.04013362971574559, 0.04766022747607677, 0.13491175272809033, 0.11343296715391002, 0.13046336481040652, -0.15226057527208148, -0.05189610048514474, 0.38954163775625794, -0.10527917671088989, -0.12420789000915956, 0.13130528425316806, -0.21319254927828415, -0.1358362621791497, 0.16367329981505543, 0.03729670973249025, 0.05144423642387655, -0.13939966111965887, 0.1409000339553241, 0.013789532185470747, 0.16261052320983804, 0.14061211433343507, -0.02524900926625008, 0.301129875213399, 0.11881326740239184, 0.07899021759506437, 0.05834751234678961, -0.033029094724762405, -0.1454347160204754, -0.36153085026275983, -0.1386924047690847, -0.2143196325380084, 0.08137497305997986, -0.12004397677466822, -0.21078941260802223, 0.33763278230697247, 0.09855134404458843, 0.22351316097550666, 0.023665195362959673, 0.2563268436978643, 0.1048970762742581, 0.10139527880064733, 0.09715360486470573, 0.32032594156379884, 0.0420704037078994, 0.14712619326323026, -0.19236532920539112, 0.03649162249844316, 0.047218816687486] |
710.203 | FSR0190 - Another old distant galactic cluster | We are conducting a large program to classify newly discovered Milky Way star
cluster candidates from Froebrich et al. (2007). Here we present NIR follow-up
observations of FSR0190 (RA=20h05m31.3s, DEC=33deg34'09" J2000). The cluster is
situated close to the Galactic Plane (l=70.7302deg, b=+0.9498deg). It shows a
circular shape, a relatively large number of core helium burning stars -- which
clearly distinguishes the cluster from the rich field -- but no centrally
condensed star density profile. We derive an age of more than 7Gyr, a
Galactocentric distance of 10.5kpc, a distance of 10kpc from the Sun, and an
extinction of A_K=0.8mag. The estimated mass is at least of the order of
1E5M_sun, and the absolute brightness is M_V<=-4.7mag; both are rather typical
properties for Palomar-type globular clusters.
| astro-ph | we are conducting a large program to classify newly discovered milky way star cluster candidates from froebrich et al 2007 here we present nir followup observations of fsr0190 ra20h05m313s dec33deg3409 j2000 the cluster is situated close to the galactic plane l707302deg b09498deg it shows a circular shape a relatively large number of core helium burning stars which clearly distinguishes the cluster from the rich field but no centrally condensed star density profile we derive an age of more than 7gyr a galactocentric distance of 105kpc a distance of 10kpc from the sun and an extinction of a_k08mag the estimated mass is at least of the order of 1e5m_sun and the absolute brightness is m_v47mag both are rather typical properties for palomartype globular clusters | [['we', 'are', 'conducting', 'a', 'large', 'program', 'to', 'classify', 'newly', 'discovered', 'milky', 'way', 'star', 'cluster', 'candidates', 'from', 'froebrich', 'et', 'al', '2007', 'here', 'we', 'present', 'nir', 'followup', 'observations', 'of', 'fsr0190', 'ra20h05m313s', 'dec33deg3409', 'j2000', 'the', 'cluster', 'is', 'situated', 'close', 'to', 'the', 'galactic', 'plane', 'l707302deg', 'b09498deg', 'it', 'shows', 'a', 'circular', 'shape', 'a', 'relatively', 'large', 'number', 'of', 'core', 'helium', 'burning', 'stars', 'which', 'clearly', 'distinguishes', 'the', 'cluster', 'from', 'the', 'rich', 'field', 'but', 'no', 'centrally', 'condensed', 'star', 'density', 'profile', 'we', 'derive', 'an', 'age', 'of', 'more', 'than', '7gyr', 'a', 'galactocentric', 'distance', 'of', '105kpc', 'a', 'distance', 'of', '10kpc', 'from', 'the', 'sun', 'and', 'an', 'extinction', 'of', 'a_k08mag', 'the', 'estimated', 'mass', 'is', 'at', 'least', 'of', 'the', 'order', 'of', '1e5m_sun', 'and', 'the', 'absolute', 'brightness', 'is', 'm_v47mag', 'both', 'are', 'rather', 'typical', 'properties', 'for', 'palomartype', 'globular', 'clusters']] | [-0.0721886756312745, 0.10011388166561368, -0.12054345114282806, 0.06703994467553674, -0.11040420928121075, -0.03559513881803074, 0.06614866381947908, 0.4122138323171674, -0.19515022040196423, -0.3739276784183705, 0.04857060551824691, -0.31473346823513243, -0.03599490096743128, 0.19170927586223502, -0.06534230429679155, -0.050963110937448465, 0.06605626340230218, 0.014335564984651529, -0.0636412383838087, -0.2494085979425406, 0.2755387886262507, 0.060418741202674216, 0.15080623095030937, -0.055654420125899856, 0.03943731221658862, -0.07589856172969515, -0.04929171721409775, 0.025178898842922882, -0.15023996666963912, 0.08145584534303557, 0.19297721565791728, 0.14931181296953452, 0.21630434238607377, -0.32060810926873073, -0.17086092690912497, 0.05741529803995076, 0.17834919625151474, 0.09235699416603893, -0.09432509573100782, -0.27805178774833944, 0.07443926981196994, -0.1763173627514656, -0.22904712107625946, 0.08982782387298292, 0.10594517896384562, 0.030080369970373874, -0.19881292967438963, 0.135499345506459, -0.0007155005185477502, 0.11444350163064963, -0.07676288305649913, -0.14170067447476684, -0.061761114016933516, 0.09341245625102151, -0.04345211309825886, 0.09884276161942862, 0.15222529152128023, -0.13647404881153025, 0.013645731333016822, 0.398503367022603, -0.010303252471010283, 0.034280379962143115, 0.2517485713907641, -0.1908169423015706, -0.15616748098333458, 0.11683848344893978, 0.15247376486494213, 0.15979922069566307, -0.200458698862735, 0.024706440667654758, -0.0707493394673019, 0.21497057349754878, 0.07231541826035333, 0.01620037429162458, 0.3235636129233558, 0.13933225389800769, 0.0888622897817234, 0.10577041964846111, -0.2641349620560794, -0.06783889962691995, -0.2393839683309527, -0.10734971647925542, -0.15500760412145514, 0.040064129185145805, -0.11501390510418996, -0.15504143612904359, 0.3249218609530182, 0.07462720280364815, 0.2415129104381905, 0.04337928709597224, 0.2480900394441807, 0.0701407646982873, 0.11408043164858776, 0.16369367724457606, 0.30057206753212795, 0.21299417904759468, 0.04342355208257131, -0.21516661488335678, 0.05231671486527915, -0.008932943253951] |
710.2031 | Modeling a Schottky-barrier carbon nanotube field-effect transistor with
ferromagnetic contacts | In this study, a model of a Schottky-barrier carbon nanotube field- effect
transistor (CNT-FET), with ferromagnetic contacts, has been developed. The
emphasis is put on analysis of current-voltage characteristics as well as shot
(and thermal) noise. The method is based on the tight-binding model and the
non- equilibrium Green's function technique. The calculations show that, at
room temperature, the shot noise of the CNT FET is Poissonian in the
sub-threshold region, whereas in elevated gate and drain/source voltage regions
the Fano factor gets strongly reduced. Moreover, transport properties strongly
depend on relative magnetization orientations in the source and drain contacts.
In particular, one observes quite a large tunnel magnetoresistance, whose
absolute value may exceed 50%.
| cond-mat.mes-hall cond-mat.mtrl-sci | in this study a model of a schottkybarrier carbon nanotube field effect transistor cntfet with ferromagnetic contacts has been developed the emphasis is put on analysis of currentvoltage characteristics as well as shot and thermal noise the method is based on the tightbinding model and the non equilibrium greens function technique the calculations show that at room temperature the shot noise of the cnt fet is poissonian in the subthreshold region whereas in elevated gate and drainsource voltage regions the fano factor gets strongly reduced moreover transport properties strongly depend on relative magnetization orientations in the source and drain contacts in particular one observes quite a large tunnel magnetoresistance whose absolute value may exceed 50 | [['in', 'this', 'study', 'a', 'model', 'of', 'a', 'schottkybarrier', 'carbon', 'nanotube', 'field', 'effect', 'transistor', 'cntfet', 'with', 'ferromagnetic', 'contacts', 'has', 'been', 'developed', 'the', 'emphasis', 'is', 'put', 'on', 'analysis', 'of', 'currentvoltage', 'characteristics', 'as', 'well', 'as', 'shot', 'and', 'thermal', 'noise', 'the', 'method', 'is', 'based', 'on', 'the', 'tightbinding', 'model', 'and', 'the', 'non', 'equilibrium', 'greens', 'function', 'technique', 'the', 'calculations', 'show', 'that', 'at', 'room', 'temperature', 'the', 'shot', 'noise', 'of', 'the', 'cnt', 'fet', 'is', 'poissonian', 'in', 'the', 'subthreshold', 'region', 'whereas', 'in', 'elevated', 'gate', 'and', 'drainsource', 'voltage', 'regions', 'the', 'fano', 'factor', 'gets', 'strongly', 'reduced', 'moreover', 'transport', 'properties', 'strongly', 'depend', 'on', 'relative', 'magnetization', 'orientations', 'in', 'the', 'source', 'and', 'drain', 'contacts', 'in', 'particular', 'one', 'observes', 'quite', 'a', 'large', 'tunnel', 'magnetoresistance', 'whose', 'absolute', 'value', 'may', 'exceed', '50']] | [-0.14922557705203476, 0.10750066240965996, -0.06864561027563784, -0.01041758122610981, 0.008208817421742107, -0.22745068990018058, 0.08678562168295131, 0.4083481670073841, -0.21062102615833284, -0.3117431446585966, 0.02049142927154089, -0.3072576793609187, -0.13237344307177093, 0.24607118148883075, -0.030077907720671804, -0.018135459251377894, 0.011230298439445703, 0.013285756613249364, -0.02956218340272165, -0.20014291851092939, 0.261554964793765, 0.07113081290761171, 0.3788002180988374, 0.12690125486772993, 0.08106628353909953, -0.013032524891035712, 0.08781342318524485, 0.07916073581284803, -0.11281056087698191, -0.0025109125949118447, 0.20598968570323095, -0.1257027043171389, 0.20616088162135818, -0.4303095080930254, -0.1945879151072839, 0.008912131064773902, 0.0910918093326947, 0.13477088912673618, -0.01061930102802327, -0.24557394338366778, 0.0670139359517476, -0.13901288795041974, -0.08396806324143773, -0.003860638574089693, -0.0011351557802813856, 0.04494054829904243, -0.22372815737338816, 0.09209130446467062, 0.03910542395017768, 0.061371973081448865, -0.01448717189790762, -0.16435863853877652, -0.05245678852636205, 0.06256407484356516, -0.0009798838797470798, 0.02224034590282194, 0.30631149404722713, -0.14950285830545118, -0.08508339759934208, 0.28812566151761493, -0.10311093063336675, -0.14537960300424502, 0.1198047168330168, -0.23108716292063827, -0.04371727977109992, 0.15075787564982537, 0.11933715348334416, 0.11274299726457052, -0.18636281069206154, 0.09458669342060128, 0.015609014682147813, 0.17039852919988335, 0.07042093107719784, 0.04599597605107271, 0.23490169226475385, 0.24699626628754903, 0.06237108865044201, 0.1372650377776312, -0.15445343312888365, -0.04486430397702624, -0.24043264218970486, -0.1115993613579675, -0.2004851653524067, 0.13061290201427334, -0.0662768110506358, -0.2287897207652745, 0.4193333851254505, 0.15702072392602492, 0.18880110987988502, -0.019610542484113702, 0.3208529630432958, 0.18145257718253718, 0.06417705442391984, 0.01788338176632786, 0.2248516471509862, 0.20876757107553598, 0.09669861556233271, -0.2888363245672182, 0.1298844474894197, -0.0534644509949114] |
710.2032 | Construction of a Penrose Diagram for a Spatially Coherent Evaporating
Black Hole | A Penrose diagram is constructed for an example black hole that evaporates at
a steady rate as measured by a distant observer, until the mass vanishes,
yielding a final state Minkowski space-time. Coordinate dependencies of
significant features, such as the horizon and coordinate anomalies, are clearly
demonstrated on the diagram. The large-scale causal structure of the space-time
is briefly discussed.
| gr-qc | a penrose diagram is constructed for an example black hole that evaporates at a steady rate as measured by a distant observer until the mass vanishes yielding a final state minkowski spacetime coordinate dependencies of significant features such as the horizon and coordinate anomalies are clearly demonstrated on the diagram the largescale causal structure of the spacetime is briefly discussed | [['a', 'penrose', 'diagram', 'is', 'constructed', 'for', 'an', 'example', 'black', 'hole', 'that', 'evaporates', 'at', 'a', 'steady', 'rate', 'as', 'measured', 'by', 'a', 'distant', 'observer', 'until', 'the', 'mass', 'vanishes', 'yielding', 'a', 'final', 'state', 'minkowski', 'spacetime', 'coordinate', 'dependencies', 'of', 'significant', 'features', 'such', 'as', 'the', 'horizon', 'and', 'coordinate', 'anomalies', 'are', 'clearly', 'demonstrated', 'on', 'the', 'diagram', 'the', 'largescale', 'causal', 'structure', 'of', 'the', 'spacetime', 'is', 'briefly', 'discussed']] | [-0.17439300281306108, 0.13225537594238024, -0.09545655825641006, 0.11871921650987739, -0.05896402283882101, -0.12176097240298986, 0.01716537803489094, 0.31728053002928697, -0.22394445165991783, -0.24945659121343244, 0.13735879729501904, -0.3013166846736567, -0.10655372817224512, 0.17440056985554594, -0.017190004815347493, 0.005270960042253137, 0.030068585323169826, 0.10361765946727246, -0.1334862037212588, -0.21154744708134482, 0.3375100919355949, 0.1489265753965204, 0.29600767833956826, -0.0033797486529996, 0.18387474914391835, 0.009595865857166548, -0.019909533384876946, 0.09896770560493072, -0.13187963500834787, -0.044121004703144236, 0.2265997864616414, 0.14821221408783458, 0.18073043940821662, -0.3511647657180826, -0.22451391073409468, 0.04493689086909095, 0.18615572654331725, 0.1567699638971438, -0.1001292573850757, -0.3076735053521891, 0.010841535249104103, -0.17322899159044028, -0.17720847020391375, -0.04169118643427889, 0.07808799201933046, -0.08068457543849945, -0.17735936934768687, 0.12940815975889564, 0.06900974802750473, 0.01270241296151653, -0.09328360496826159, -0.050827673993383844, -0.10148865267789613, 0.10559500809758901, 0.0689566608130311, 0.07753259819777061, 0.19741287943907082, -0.08083995950097839, -0.12191103001435598, 0.3364384684711695, -0.031997354530418916, -0.18756013254945478, 0.14270244757644832, -0.17359263070393355, -0.09192081124056131, 0.1148730146077772, 0.12385175315042336, 0.14935875386775782, -0.17790017041164294, 0.09940886764379683, -0.012966079808150729, 0.1455845603525328, 0.09462541098861645, 0.03605527858017012, 0.32261964289161066, 0.13328545087133534, 0.0243187235823522, 0.16520781193976292, -0.08109023970318958, -0.14200756677115958, -0.35531479949131606, -0.16367259992597002, -0.17049441155977546, 0.06036198418199395, -0.16533913841291603, -0.1811555901852747, 0.32181633487343786, 0.05028160208215316, 0.24472080709723135, -0.03250718244041006, 0.26716771675273776, 0.0872192632057704, 0.04199140092047552, 0.1123180215091755, 0.31213054206843177, 0.09119371195556596, 0.1259182918894415, -0.2369184159838672, 0.06020812314624588, 0.0899750213099954] |
710.2033 | Ricci curvature and conformality of Riemannian manifolds to spheres | In this paper we give bounds for the first eigenvalue of the conformal
Laplacian and the Yamabe invariant of a compact Riemannian manifold, by using
conditions on the Ricci curvature and the diameter and deduce certain
conditions on the manifold to be conformal to a sphere.
| math.DG | in this paper we give bounds for the first eigenvalue of the conformal laplacian and the yamabe invariant of a compact riemannian manifold by using conditions on the ricci curvature and the diameter and deduce certain conditions on the manifold to be conformal to a sphere | [['in', 'this', 'paper', 'we', 'give', 'bounds', 'for', 'the', 'first', 'eigenvalue', 'of', 'the', 'conformal', 'laplacian', 'and', 'the', 'yamabe', 'invariant', 'of', 'a', 'compact', 'riemannian', 'manifold', 'by', 'using', 'conditions', 'on', 'the', 'ricci', 'curvature', 'and', 'the', 'diameter', 'and', 'deduce', 'certain', 'conditions', 'on', 'the', 'manifold', 'to', 'be', 'conformal', 'to', 'a', 'sphere']] | [-0.15780998677339242, 0.06616483181310089, -0.11896250012290219, 0.045794175763148814, -0.15261232540132882, -0.11924716293730814, -0.09294671417244346, 0.3314162643383379, -0.2171124242570089, -0.24635872236736442, 0.20978262548527235, -0.24662726194314336, -0.16598609021014493, 0.14539664596035753, -0.1073618141286399, 0.09031873722763165, 0.06960548797581831, 0.1540285502762898, -0.12069774538521534, -0.22123197632153396, 0.5217351838946342, 0.011513143534893576, 0.19763375126311314, 0.18688989183663027, 0.13421791348525364, -0.09484059302865164, 0.054946725813509976, 0.03090054007328075, -0.26215307354805584, 0.1521841242261555, 0.18074675023292555, 0.06247383825804876, 0.16901783019547229, -0.41590348598749743, -0.20879490725169686, 0.14586872018306798, 0.07235991799920473, 0.005182023625820875, -0.027889927057675897, -0.3683416307296442, 0.1282434645716263, 0.002210034664882266, -0.16110793467606013, -0.06587957007729489, -0.02147174132582934, -0.06627690326422453, -0.2487192517956314, 0.05282391050992453, 0.12104359204354494, 0.03822696648295159, -0.10101955829431182, -0.07411294605623445, -0.011362399399766455, 0.07922064543337277, 0.052152653427227684, 0.024480032643465245, 0.11151042221235516, -0.05190732694008266, -0.06892243767683597, 0.34190650478653284, -0.140043993116073, -0.3276990639936665, 0.07146334502360095, -0.1351304230907851, -0.16054097052825533, 0.05583137354773024, 0.2252854006972326, 0.2100918283281119, -0.0999469124438727, 0.15849898089072667, -0.042707750553508166, 0.04550813166829555, 0.11501589968152669, -0.02243911559976961, 0.10351702977862695, 0.08522311006875141, 0.23915821737002418, 0.15991317209251144, -0.04462868263742522, -0.04909373074769974, -0.3641095807694871, -0.2493705090297305, -0.24304474583503022, 0.20296159615416243, -0.19433092335953994, -0.1790365647580272, 0.4520569543313721, 0.006588926606523076, 0.24505794380346071, 0.19012927529199616, 0.23695316416737827, 0.07322440324249961, 0.04519815706526455, 0.15621976872258211, 0.22324304221926825, 0.24906227973026587, 0.06885470542550573, -0.18462374854994856, -0.11684177309760581, 0.18213562981185058] |
710.2034 | R-Parity violating minimal supergravity at the LHC | We consider the case where supersymmetry with broken R-parity is embedded in
the minimal supergravity model (mSUGRA). This alters the standard mSUGRA
spectrum and opens a wide range in parameter space, where the scalar tau is the
lightest supersymmetric particle, instead of the lightest neutralino. We study
the resulting LHC phenomenology. Promising signatures would be detached
vertices from long-lived staus, multi lepton final states and multi-tau final
states. We investigate in detail the corresponding cross sections and decay
rates in characteristic benchmark scenarios.
| hep-ph | we consider the case where supersymmetry with broken rparity is embedded in the minimal supergravity model msugra this alters the standard msugra spectrum and opens a wide range in parameter space where the scalar tau is the lightest supersymmetric particle instead of the lightest neutralino we study the resulting lhc phenomenology promising signatures would be detached vertices from longlived staus multi lepton final states and multitau final states we investigate in detail the corresponding cross sections and decay rates in characteristic benchmark scenarios | [['we', 'consider', 'the', 'case', 'where', 'supersymmetry', 'with', 'broken', 'rparity', 'is', 'embedded', 'in', 'the', 'minimal', 'supergravity', 'model', 'msugra', 'this', 'alters', 'the', 'standard', 'msugra', 'spectrum', 'and', 'opens', 'a', 'wide', 'range', 'in', 'parameter', 'space', 'where', 'the', 'scalar', 'tau', 'is', 'the', 'lightest', 'supersymmetric', 'particle', 'instead', 'of', 'the', 'lightest', 'neutralino', 'we', 'study', 'the', 'resulting', 'lhc', 'phenomenology', 'promising', 'signatures', 'would', 'be', 'detached', 'vertices', 'from', 'longlived', 'staus', 'multi', 'lepton', 'final', 'states', 'and', 'multitau', 'final', 'states', 'we', 'investigate', 'in', 'detail', 'the', 'corresponding', 'cross', 'sections', 'and', 'decay', 'rates', 'in', 'characteristic', 'benchmark', 'scenarios']] | [-0.09537362388380051, 0.2676311737215371, 0.009008660578696304, 0.1955746752357234, -0.06143931559208466, -0.1973715619722673, -0.009130767448324884, 0.28445213048505674, -0.21200050934251533, -0.29135086369442653, 0.012440174756324794, -0.28126735502786665, -0.02324112118305975, 0.09901861890768969, 0.00568013379058565, 0.08817088400877743, 0.12570513722610221, -0.019074015554983215, -0.06368398961487663, -0.2189930405563125, 0.3041370442496186, 0.009867975819317332, 0.180476731710495, 0.049886058550328016, -0.004267135950602053, 0.00015696948281971804, 0.033179297647719465, -0.1160878092502889, -0.1771514060015016, 0.033365780536747394, 0.21282290110185023, 0.10577232407473297, 0.07248862358427281, -0.35007362876856046, -0.1535161911925099, 0.2594775773854141, 0.19187676353402525, 0.08846900970618947, -0.058933727499322, -0.3323548820587885, 0.1049662610454238, -0.2351400445675455, -0.10271135276654758, -0.03296609527251897, -0.029925067056284612, -0.1635920672133251, -0.3117513986955206, 0.10442020060741398, -0.1087794656898961, -0.034684478058423625, -0.032569891144802056, -0.14807626132079096, -0.12056388598249619, -0.02109903799010867, 0.1727124308586592, -0.055373678739878335, 0.2034078237308885, -0.2056521930400821, -0.17508605722455778, 0.40381775389100055, -0.11137540087928569, -0.18966036287125154, 0.18181583568094725, -0.16672261698306146, -0.17170740477319987, 0.13243487807192716, 0.21924601771296506, 0.16866731447313565, -0.116779144830912, 0.25584341494537644, -0.06104253447917571, 0.16869593693885998, 0.042982717948974146, 0.09201687315748219, 0.2855921274455017, 0.2767027908941753, 0.042993949618925484, 0.13820099095527802, -0.11784668131563139, -0.14285035973908491, -0.45625407096133175, -0.147258659185146, -0.03948713653911668, 0.02793448912372521, -0.07571960179396788, -0.0765608187809766, 0.4637279920672706, 0.08556826225010655, 0.2862550316445799, 0.013686394453587302, 0.2816456388121089, 0.047401134216462276, 0.04886328067114375, 0.02880876894524119, 0.32197032300530964, 0.07679621556195913, 0.09910134100411312, -0.21628065761571458, -0.04647830294736897, 0.050359757583453714] |
710.2035 | Electroweak Contributions to Squark Pair Production | We compute electroweak contributions to the production of squark pairs at
hadron colliders. These include the exchange of electroweak gauge bosons in the
$s-$channel as well as electroweak gaugino exchange in the $t-$ and/or
$u-$channel. In many cases these can interfere with the dominant QCD
contributions. As a result, we find sizable contributions to the production of
two SU(2) doublet squarks. At the LHC, they amount to 10 to 20% for typical
mSUGRA (or CMSSM) scenarios, but in more general scenarios they can vary
between -40 and $+55%$, depending on size and sign of the SU(2) gaugino mass.
The electroweak contribution to the total squark pair production rate at the
LHC is about 3.5 times smaller.
| hep-ph | we compute electroweak contributions to the production of squark pairs at hadron colliders these include the exchange of electroweak gauge bosons in the schannel as well as electroweak gaugino exchange in the t andor uchannel in many cases these can interfere with the dominant qcd contributions as a result we find sizable contributions to the production of two su2 doublet squarks at the lhc they amount to 10 to 20 for typical msugra or cmssm scenarios but in more general scenarios they can vary between 40 and 55 depending on size and sign of the su2 gaugino mass the electroweak contribution to the total squark pair production rate at the lhc is about 35 times smaller | [['we', 'compute', 'electroweak', 'contributions', 'to', 'the', 'production', 'of', 'squark', 'pairs', 'at', 'hadron', 'colliders', 'these', 'include', 'the', 'exchange', 'of', 'electroweak', 'gauge', 'bosons', 'in', 'the', 'schannel', 'as', 'well', 'as', 'electroweak', 'gaugino', 'exchange', 'in', 'the', 't', 'andor', 'uchannel', 'in', 'many', 'cases', 'these', 'can', 'interfere', 'with', 'the', 'dominant', 'qcd', 'contributions', 'as', 'a', 'result', 'we', 'find', 'sizable', 'contributions', 'to', 'the', 'production', 'of', 'two', 'su2', 'doublet', 'squarks', 'at', 'the', 'lhc', 'they', 'amount', 'to', '10', 'to', '20', 'for', 'typical', 'msugra', 'or', 'cmssm', 'scenarios', 'but', 'in', 'more', 'general', 'scenarios', 'they', 'can', 'vary', 'between', '40', 'and', '55', 'depending', 'on', 'size', 'and', 'sign', 'of', 'the', 'su2', 'gaugino', 'mass', 'the', 'electroweak', 'contribution', 'to', 'the', 'total', 'squark', 'pair', 'production', 'rate', 'at', 'the', 'lhc', 'is', 'about', '35', 'times', 'smaller']] | [-0.10130507721874767, 0.31165322669428486, 0.011368979824353653, 0.20293817568494105, -0.06623358314993374, -0.1431974029050064, 0.044526839147097076, 0.3318579544570169, -0.2092298080799459, -0.3300576199263591, 0.011585134005270385, -0.3378120399369248, 0.05359114531291135, 0.12137389780977613, 0.07181464552734818, 0.03455903758455453, 0.029775641324672978, 0.012918961621772754, -0.05965541916746839, -0.3211781225440189, 0.2821860836140394, -0.010250842503817945, 0.14685376551291296, 0.18173314679959982, 0.023587000403745936, -0.006503502569354043, -0.011110584557172842, -0.15164307677597552, -0.08481819987907235, 0.04176314073165172, 0.2554656029277449, 0.03515532804283731, 0.09551955634679903, -0.32949617040215123, -0.06703832464449204, 0.17715561145852352, 0.16434493434920522, 0.12725289858845545, -0.021135020523019944, -0.2650821132541249, 0.12112659579624646, -0.25736749789613333, -0.06500411872322479, -0.03216748174825876, -0.05129833746669364, -0.15384909719357204, -0.35657350881153654, 0.09114495601408698, -0.08605544006247234, 0.014569565274447588, 0.03742695431995752, -0.20470539505236204, -0.14499144455024587, 0.011006607238508376, 0.19559832402818098, 0.029978843225198316, 0.21913671083266623, -0.23472720688883345, -0.17766074988296546, 0.4340815273743797, -0.09892767992127559, -0.14781601441189132, 0.21776266085337206, -0.1779243363396682, -0.1691405255395662, 0.14577267750302844, 0.2465585450930842, 0.06662328582300187, -0.14316281589583077, 0.1426273985948526, 0.03388121532244158, 0.18038256468998012, 0.1111723804396802, 0.09326176444752993, 0.2541620527907949, 0.1533816825269304, 0.044659545916586246, 0.04749480475759905, -0.06208062620937888, -0.1326212205739435, -0.4713211544018624, -0.0773034756393513, -0.03631498198153387, 0.051188091094131936, -0.09982513525128839, -0.07058053502234919, 0.3691397743652864, 0.1353612242483309, 0.29567477253169333, 0.019683436755540556, 0.3084533411391272, 0.059185769614173454, 0.1442021426608272, 0.0225730808030268, 0.3371062749587321, 0.10075564033769328, 0.15422992006442027, -0.21743410824525072, -0.013934356511965925, 0.06916143414403858] |
710.2036 | Cutoff effects for Wilson twisted mass fermions at tree-level of
perturbation theory | We study cutoff effects at tree-level of perturbation theory for standard
Wilson and Wilson twisted mass fermionic lattice actions with Nf=2 flavour
degenerate quarks. The discretization effects are investigated by computing the
mass spectrum and decay amplitudes for different hadron interpolating fields
and the scaling behaviour towards the continuum limit is analyzed. It is shown
that the Wilson and the mass average methods are equivalent and lead to O(a)
improved R5-parity even lattice observables. We also demonstrate that automatic
O(a) improvement works in case of Wilson twisted mass fermions at maximal twist
and that this improvement is realized even if the condition of maximal twist is
achieved only up to O(a) cutoff effects. We demonstrate that in the chiral
limit standard Wilson fermions show scaling violations of O(a^2) while for
maximally twisted mass fermions these violations are only of O(a^4). For our
analytical calculations, lattices with sizes L=aN and periodic boundary
conditions in the spatial directions have been chosen while infinite extension
in the time direction is considered.
| hep-lat | we study cutoff effects at treelevel of perturbation theory for standard wilson and wilson twisted mass fermionic lattice actions with nf2 flavour degenerate quarks the discretization effects are investigated by computing the mass spectrum and decay amplitudes for different hadron interpolating fields and the scaling behaviour towards the continuum limit is analyzed it is shown that the wilson and the mass average methods are equivalent and lead to oa improved r5parity even lattice observables we also demonstrate that automatic oa improvement works in case of wilson twisted mass fermions at maximal twist and that this improvement is realized even if the condition of maximal twist is achieved only up to oa cutoff effects we demonstrate that in the chiral limit standard wilson fermions show scaling violations of oa2 while for maximally twisted mass fermions these violations are only of oa4 for our analytical calculations lattices with sizes lan and periodic boundary conditions in the spatial directions have been chosen while infinite extension in the time direction is considered | [['we', 'study', 'cutoff', 'effects', 'at', 'treelevel', 'of', 'perturbation', 'theory', 'for', 'standard', 'wilson', 'and', 'wilson', 'twisted', 'mass', 'fermionic', 'lattice', 'actions', 'with', 'nf2', 'flavour', 'degenerate', 'quarks', 'the', 'discretization', 'effects', 'are', 'investigated', 'by', 'computing', 'the', 'mass', 'spectrum', 'and', 'decay', 'amplitudes', 'for', 'different', 'hadron', 'interpolating', 'fields', 'and', 'the', 'scaling', 'behaviour', 'towards', 'the', 'continuum', 'limit', 'is', 'analyzed', 'it', 'is', 'shown', 'that', 'the', 'wilson', 'and', 'the', 'mass', 'average', 'methods', 'are', 'equivalent', 'and', 'lead', 'to', 'oa', 'improved', 'r5parity', 'even', 'lattice', 'observables', 'we', 'also', 'demonstrate', 'that', 'automatic', 'oa', 'improvement', 'works', 'in', 'case', 'of', 'wilson', 'twisted', 'mass', 'fermions', 'at', 'maximal', 'twist', 'and', 'that', 'this', 'improvement', 'is', 'realized', 'even', 'if', 'the', 'condition', 'of', 'maximal', 'twist', 'is', 'achieved', 'only', 'up', 'to', 'oa', 'cutoff', 'effects', 'we', 'demonstrate', 'that', 'in', 'the', 'chiral', 'limit', 'standard', 'wilson', 'fermions', 'show', 'scaling', 'violations', 'of', 'oa2', 'while', 'for', 'maximally', 'twisted', 'mass', 'fermions', 'these', 'violations', 'are', 'only', 'of', 'oa4', 'for', 'our', 'analytical', 'calculations', 'lattices', 'with', 'sizes', 'lan', 'and', 'periodic', 'boundary', 'conditions', 'in', 'the', 'spatial', 'directions', 'have', 'been', 'chosen', 'while', 'infinite', 'extension', 'in', 'the', 'time', 'direction', 'is', 'considered']] | [-0.14158511148629052, 0.24123751777252125, -0.059017716801005926, 0.09539007777236626, -0.009890774475455194, -0.1371956810544797, 0.057183859998800844, 0.4277961558500628, -0.14529789591063105, -0.2515559388787491, 0.10144633362432216, -0.2731188960752623, -0.06484398441277668, 0.1494387396915208, -0.02070830928588582, 0.10889218075787872, 0.08380535495339218, -0.0031282335385947884, -0.12234012592963116, -0.26564160795759656, 0.3115849695949185, 0.01708074047336143, 0.2984275986234139, 0.1420463025207425, 0.029323166317144732, -0.013732061788305909, -0.03576259264683429, 0.004374171908342553, -0.07310125315760563, 0.07150947366991711, 0.135951459283723, -0.029657354845364248, 0.1371080741330892, -0.365377585331123, -0.2074229948635319, 0.07672096692126043, 0.1867944355050247, 0.08556576007084843, -0.003107797176002742, -0.2562471906568097, 0.07060641753152683, -0.17416447844400912, -0.21715939810923385, -0.11324959097731256, -0.007975359261872437, -0.07554144608233303, -0.34232026847737457, 0.0845116897830168, -0.013961137778510501, 0.08844790079669775, 0.016282993858515615, -0.14625022845610441, -0.04935157010652415, 0.12092246182686733, 0.1282805053414052, 0.030383047189083908, 0.1075513914065759, -0.16406757019398857, -0.14297488855454557, 0.39521718158353186, -0.0936554990880314, -0.21706268689344208, 0.13360305347976215, -0.18751431240081162, -0.1696932898251574, 0.09872812062531011, 0.11848311118424652, 0.07692630913298198, -0.14976036298495835, 0.13821479039089643, -0.08216455379643194, 0.13854820072068136, 0.14045234617615443, 0.055123290779002146, 0.2028915868503248, 0.10290296017582679, 0.05612118767078096, 0.08185844169650784, -0.015183890368064452, -0.10977555917433747, -0.33047773457037477, -0.09272664246110324, -0.1258580698910543, 0.06442530433477242, -0.12437059631800171, -0.1568541176410456, 0.3668722131897411, 0.1631104332188557, 0.1564553285391951, 0.08368682892000426, 0.22845602478040103, 0.13810476735248203, 0.14242579924321908, 0.09820941525781918, 0.2599935223164405, 0.12729781201878887, 0.07152022083685873, -0.2887807238225206, -0.08736120068194891, 0.14536136587590961] |
710.2037 | An Affinity Propagation Based method for Vector Quantization Codebook
Design | In this paper, we firstly modify a parameter in affinity propagation (AP) to
improve its convergence ability, and then, we apply it to vector quantization
(VQ) codebook design problem. In order to improve the quality of the resulted
codebook, we combine the improved AP (IAP) with the conventional LBG algorithm
to generate an effective algorithm call IAP-LBG. According to the experimental
results, the proposed method not only enhances the convergence abilities but
also is capable of providing higher-quality codebooks than conventional LBG
method.
| cs.CV | in this paper we firstly modify a parameter in affinity propagation ap to improve its convergence ability and then we apply it to vector quantization vq codebook design problem in order to improve the quality of the resulted codebook we combine the improved ap iap with the conventional lbg algorithm to generate an effective algorithm call iaplbg according to the experimental results the proposed method not only enhances the convergence abilities but also is capable of providing higherquality codebooks than conventional lbg method | [['in', 'this', 'paper', 'we', 'firstly', 'modify', 'a', 'parameter', 'in', 'affinity', 'propagation', 'ap', 'to', 'improve', 'its', 'convergence', 'ability', 'and', 'then', 'we', 'apply', 'it', 'to', 'vector', 'quantization', 'vq', 'codebook', 'design', 'problem', 'in', 'order', 'to', 'improve', 'the', 'quality', 'of', 'the', 'resulted', 'codebook', 'we', 'combine', 'the', 'improved', 'ap', 'iap', 'with', 'the', 'conventional', 'lbg', 'algorithm', 'to', 'generate', 'an', 'effective', 'algorithm', 'call', 'iaplbg', 'according', 'to', 'the', 'experimental', 'results', 'the', 'proposed', 'method', 'not', 'only', 'enhances', 'the', 'convergence', 'abilities', 'but', 'also', 'is', 'capable', 'of', 'providing', 'higherquality', 'codebooks', 'than', 'conventional', 'lbg', 'method']] | [-0.022267193286452533, 0.005833775976498146, -0.10667601139171094, 0.05754960527098397, -0.15498589033760676, -0.17396994120236942, 0.11476629314427378, 0.4565693040537398, -0.2519472227204682, -0.29814093809279546, 0.02362172894049209, -0.20959010045612003, -0.1961369842387418, 0.15507354391965925, -0.13174401076294753, 0.0888588701129221, 0.07143090172420914, 0.05354577064991179, -0.0628037139796084, -0.3448348539688329, 0.2774834542239948, 0.15044838205979363, 0.37577224728685416, -0.012914562160603521, 0.1306562488444331, -0.012216883268570754, -0.01389618515514019, -0.0003767301614727064, -0.10416020566268211, 0.15546068686441086, 0.20281665277008604, 0.1827757174444453, 0.29626132432575814, -0.3518110108221086, -0.19935181408711686, 0.11086631892816867, 0.2273811611415046, 0.13998923474559333, -0.05893496396133631, -0.2701861915155882, 0.20937841365159285, -0.1640155187285528, -0.06753384270250978, -0.11221667367783261, -0.11925017733478964, 0.009893858446824796, -0.3331485914929611, 0.011969806666900517, 0.06583129674786838, -0.029971288006025845, -0.0861631940422784, -0.11449186049583482, 0.07275033341266396, 0.11734824920663746, 0.02534222189143936, 0.10621106370761083, 0.09305015469265239, -0.09041240455216455, -0.13279342980169487, 0.38215042491693324, -0.05088906509680361, -0.24343934282660484, 0.1605210170013512, -0.07311879373375588, -0.10725325861627735, 0.16405379529772668, 0.22146671786677183, 0.08989505603818632, -0.08411562318413905, 0.028409647970409246, 0.03196966775022901, 0.18497203515342822, 0.01675179900272136, 0.05734761719160327, 0.0833071516656385, 0.16778196819217467, 0.11300188890181301, 0.15324526029445867, -0.11634449942446337, -0.0387131591645501, -0.19239744103354653, -0.14397682708392784, -0.18259667370059504, -0.04396095490008564, -0.09571637607320842, -0.11130641510414822, 0.4227141983261922, 0.27689265847921646, 0.18201521784067154, 0.11549349729732679, 0.36862180588721505, 0.09698626600069607, 0.07195235128378177, 0.07930278861554475, 0.2395840319918423, 0.11093310530229313, 0.11006540615429602, -0.237008549971506, 0.05020980864036374, 0.09433315603471384] |
710.2038 | The Minimal Flavor Violating MSSM: application to meson mixings | We provide a short account of the effects one expects on meson-antimeson
oscillations in the context of the Minimal Supersymmetric Standard Model
(MSSM). This issue is largely dependent on the assumptions made on the MSSM
parameter space. In this respect, we consider in closer detail the cases of the
general MSSM, with completely free soft terms, and the Minimal Flavor Violating
limit of the MSSM, providing a natural mechanism of near-flavor-conservation.
For the case of meson oscillations in the Delta B = 2 sector, we show that this
approach leads to a striking increase of the predictivity of the model. In
particular, we find (i) SUSY corrections to be naturally small and always
positive; (ii) if mu is not small, an increase in importance (even for low tan
beta) of scalar operators due to gluino contributions. The last point signals
that (V-A)x(V-A) dominated MFV is in general inconsistent with the MSSM. In
this context, we also briefly discuss the MFV-Unitarity Triangle.
| hep-ph | we provide a short account of the effects one expects on mesonantimeson oscillations in the context of the minimal supersymmetric standard model mssm this issue is largely dependent on the assumptions made on the mssm parameter space in this respect we consider in closer detail the cases of the general mssm with completely free soft terms and the minimal flavor violating limit of the mssm providing a natural mechanism of nearflavorconservation for the case of meson oscillations in the delta b 2 sector we show that this approach leads to a striking increase of the predictivity of the model in particular we find i susy corrections to be naturally small and always positive ii if mu is not small an increase in importance even for low tan beta of scalar operators due to gluino contributions the last point signals that vaxva dominated mfv is in general inconsistent with the mssm in this context we also briefly discuss the mfvunitarity triangle | [['we', 'provide', 'a', 'short', 'account', 'of', 'the', 'effects', 'one', 'expects', 'on', 'mesonantimeson', 'oscillations', 'in', 'the', 'context', 'of', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'this', 'issue', 'is', 'largely', 'dependent', 'on', 'the', 'assumptions', 'made', 'on', 'the', 'mssm', 'parameter', 'space', 'in', 'this', 'respect', 'we', 'consider', 'in', 'closer', 'detail', 'the', 'cases', 'of', 'the', 'general', 'mssm', 'with', 'completely', 'free', 'soft', 'terms', 'and', 'the', 'minimal', 'flavor', 'violating', 'limit', 'of', 'the', 'mssm', 'providing', 'a', 'natural', 'mechanism', 'of', 'nearflavorconservation', 'for', 'the', 'case', 'of', 'meson', 'oscillations', 'in', 'the', 'delta', 'b', '2', 'sector', 'we', 'show', 'that', 'this', 'approach', 'leads', 'to', 'a', 'striking', 'increase', 'of', 'the', 'predictivity', 'of', 'the', 'model', 'in', 'particular', 'we', 'find', 'i', 'susy', 'corrections', 'to', 'be', 'naturally', 'small', 'and', 'always', 'positive', 'ii', 'if', 'mu', 'is', 'not', 'small', 'an', 'increase', 'in', 'importance', 'even', 'for', 'low', 'tan', 'beta', 'of', 'scalar', 'operators', 'due', 'to', 'gluino', 'contributions', 'the', 'last', 'point', 'signals', 'that', 'vaxva', 'dominated', 'mfv', 'is', 'in', 'general', 'inconsistent', 'with', 'the', 'mssm', 'in', 'this', 'context', 'we', 'also', 'briefly', 'discuss', 'the', 'mfvunitarity', 'triangle']] | [-0.10334558056513216, 0.18972917507147893, -0.00715530518691536, 0.14991193305579412, -0.05982040569696362, -0.1527984972693216, 0.0686539515925595, 0.292460417369778, -0.23104594160571315, -0.25412500740932065, 0.06326764558774128, -0.25990122101999297, -0.11504298067135606, 0.1371192702353238, -0.07574350283344745, 0.006421463664882122, 0.05251934156592959, 0.03128465247703093, -0.06492525371011038, -0.23713467987165282, 0.3271068476235411, 0.03580496211055737, 0.19199465570829002, 0.11274791311674343, 0.03384485707031029, -0.003908450733039789, -0.030877934412876513, -0.013925547009456037, -0.12675367708228585, 0.09886156620938259, 0.18947841072822832, 0.07610131017151911, 0.1732553961645266, -0.3848542984824177, -0.18175055424142986, 0.19132712354385265, 0.14719766440392015, 0.10476239013728822, -0.040543322982325866, -0.25429476765399667, 0.09760949796341525, -0.20121102229021726, -0.1387695860782057, -0.04964173260399965, -0.005422392797769065, -0.09996101371113472, -0.3052265079021691, 0.09876534409927068, 0.03568301215222117, 0.007263184765318207, -0.008730680600941704, -0.12424814492274242, -0.0108081502780603, 0.033395170394678236, 0.16175143218341217, 0.006605317447613331, 0.09735126709001982, -0.18089473196809555, -0.10098789191647628, 0.43990256531745386, -0.09863102526825135, -0.22874544129653532, 0.1574305969403143, -0.2000107328039683, -0.1878064652981984, 0.09149046536167241, 0.15143786213259883, 0.1055512970736455, -0.12319317940254784, 0.22747486648331455, -0.0480451481060902, 0.1504015746434845, 0.03767202718622366, 0.05443520699612867, 0.21146879809060296, 0.18315546153629328, 0.07079763969652664, 0.11483306791796498, -0.05693242551349578, -0.1058667927927035, -0.4282441321581715, -0.12011140381181791, -0.07259061780408214, 0.015146894843238229, -0.094914438730739, -0.13815610594810193, 0.41762168173067227, 0.16689211176856641, 0.2406957024340607, 0.02651887023999433, 0.2827502704525046, 0.1079630144415008, 0.07244356122100726, 0.02113777625961763, 0.30194164540286467, 0.07744548050093518, 0.10559339471647788, -0.23570391313754213, 0.01597416875172098, 0.041272617775685846] |
710.2039 | A method of moments estimator of tail dependence | In the world of multivariate extremes, estimation of the dependence structure
still presents a challenge and an interesting problem. A procedure for the
bivariate case is presented that opens the road to a similar way of handling
the problem in a truly multivariate setting. We consider a semi-parametric
model in which the stable tail dependence function is parametrically modeled.
Given a random sample from a bivariate distribution function, the problem is to
estimate the unknown parameter. A method of moments estimator is proposed where
a certain integral of a nonparametric, rank-based estimator of the stable tail
dependence function is matched with the corresponding parametric version. Under
very weak conditions, the estimator is shown to be consistent and
asymptotically normal. Moreover, a comparison between the parametric and
nonparametric estimators leads to a goodness-of-fit test for the semiparametric
model. The performance of the estimator is illustrated for a discrete spectral
measure that arises in a factor-type model and for which likelihood-based
methods break down. A second example is that of a family of stable tail
dependence functions of certain meta-elliptical distributions.
| math.ST stat.TH | in the world of multivariate extremes estimation of the dependence structure still presents a challenge and an interesting problem a procedure for the bivariate case is presented that opens the road to a similar way of handling the problem in a truly multivariate setting we consider a semiparametric model in which the stable tail dependence function is parametrically modeled given a random sample from a bivariate distribution function the problem is to estimate the unknown parameter a method of moments estimator is proposed where a certain integral of a nonparametric rankbased estimator of the stable tail dependence function is matched with the corresponding parametric version under very weak conditions the estimator is shown to be consistent and asymptotically normal moreover a comparison between the parametric and nonparametric estimators leads to a goodnessoffit test for the semiparametric model the performance of the estimator is illustrated for a discrete spectral measure that arises in a factortype model and for which likelihoodbased methods break down a second example is that of a family of stable tail dependence functions of certain metaelliptical distributions | [['in', 'the', 'world', 'of', 'multivariate', 'extremes', 'estimation', 'of', 'the', 'dependence', 'structure', 'still', 'presents', 'a', 'challenge', 'and', 'an', 'interesting', 'problem', 'a', 'procedure', 'for', 'the', 'bivariate', 'case', 'is', 'presented', 'that', 'opens', 'the', 'road', 'to', 'a', 'similar', 'way', 'of', 'handling', 'the', 'problem', 'in', 'a', 'truly', 'multivariate', 'setting', 'we', 'consider', 'a', 'semiparametric', 'model', 'in', 'which', 'the', 'stable', 'tail', 'dependence', 'function', 'is', 'parametrically', 'modeled', 'given', 'a', 'random', 'sample', 'from', 'a', 'bivariate', 'distribution', 'function', 'the', 'problem', 'is', 'to', 'estimate', 'the', 'unknown', 'parameter', 'a', 'method', 'of', 'moments', 'estimator', 'is', 'proposed', 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710.204 | $B \to K^* \ell^+ \ell^-$ as a probe of Universal Extra Dimensions | We study some rare B decays induced by $b \to s$ transition within the
Standard Model and in the Appelquist-Cheng-Dobrescu model, which is a New
Physics scenario with a single universal extra dimension. In particular, we
discuss the dependence on the radius $R$ of the compactified extra-dimension of
the branching ratio, the forward-backward asymmetry and the $K^*$ helicity
distributions for the decay modes $B \to K^* \ell^+ \ell^-$, with
$\ell^-=e^-,\mu^-$, and the tau polarization asymmetries for the mode $B \to
K^* \tau^+ \tau^-$.
| hep-ph | we study some rare b decays induced by b to s transition within the standard model and in the appelquistchengdobrescu model which is a new physics scenario with a single universal extra dimension in particular we discuss the dependence on the radius r of the compactified extradimension of the branching ratio the forwardbackward asymmetry and the k helicity distributions for the decay modes b to k ell ell with ellemu and the tau polarization asymmetries for the mode b to k tau tau | [['we', 'study', 'some', 'rare', 'b', 'decays', 'induced', 'by', 'b', 'to', 's', 'transition', 'within', 'the', 'standard', 'model', 'and', 'in', 'the', 'appelquistchengdobrescu', 'model', 'which', 'is', 'a', 'new', 'physics', 'scenario', 'with', 'a', 'single', 'universal', 'extra', 'dimension', 'in', 'particular', 'we', 'discuss', 'the', 'dependence', 'on', 'the', 'radius', 'r', 'of', 'the', 'compactified', 'extradimension', 'of', 'the', 'branching', 'ratio', 'the', 'forwardbackward', 'asymmetry', 'and', 'the', 'k', 'helicity', 'distributions', 'for', 'the', 'decay', 'modes', 'b', 'to', 'k', 'ell', 'ell', 'with', 'ellemu', 'and', 'the', 'tau', 'polarization', 'asymmetries', 'for', 'the', 'mode', 'b', 'to', 'k', 'tau', 'tau']] | [-0.15640616971026006, 0.21752076346920915, -0.04205038312104452, 0.05119376383435699, -0.03560664747695787, -0.20184104637164307, 0.0816640664938366, 0.2807852496555726, -0.29076543962021906, -0.2482417166367712, -0.0011226121919700898, -0.2812674284901425, -0.004749005890440151, 0.09945319967725909, 0.08583099570922015, 0.03540636294841183, 0.0166963111631662, 0.05660802448527461, -0.037543243432630706, -0.17043535572656218, 0.2505457786147494, 0.029429188981394183, 0.19257304035912615, 0.04317189324703292, -0.01204299948077245, -0.008552308884415641, -0.03763863728213382, -0.013166619599404105, -0.19994925723287715, 0.04582358638234212, 0.11495517274499478, 0.11250085728761954, 0.11918480572548795, -0.2970224623512252, -0.11467003296073301, 0.16398731945363065, 0.14616836153015675, 0.029543869919704657, 0.015459502793298698, -0.27878090019999857, 0.1159528774736696, -0.12598853824233794, -0.07660255175931042, -0.03919562138056001, 0.1489170213645122, -0.0879607445936291, -0.3832673759884145, 0.08296280934935413, 0.05333620025944638, 0.03921888731644455, 0.0392373784456447, -0.19901834437286997, -0.022466065084382175, 0.021661056782096535, 0.13262763304680766, 0.08342333700429334, 0.12945977005411882, -0.12938432891696064, -0.1517423055448895, 0.36465082947636046, -0.17192674469320574, -0.18533357454418956, 0.1572401173502566, -0.27250132328797, -0.1313646824985563, 0.11634185009759414, 0.21408103867321757, 0.1393208515280521, -0.09755257083417242, 0.1754168267845715, -0.04684839757153742, 0.1237028920349766, 0.03068880719155163, 0.05296088295079857, 0.2085956762578473, 0.15419773352108, -0.006966466297316982, 0.09705030597207776, -0.15812737091321005, -0.036008424709090985, -0.4230643664318395, -0.16678651753554952, -0.07169967458873752, 0.0852562315896692, -0.07920754424254943, -0.08938672003078174, 0.391293692344334, 0.053705720155196916, 0.3158915169222886, 0.03181643878440765, 0.260098713781146, 0.08647006199167795, 0.07436492814996605, 0.06842116780469688, 0.2172325827501832, 0.19079061797595617, 0.10502906106075788, -0.3040307085029781, 0.03275868448103408, 0.046159287280661154] |
710.2041 | Thin-shell wormholes supported by ordinary matter in
Einstein--Gauss--Bonnet gravity | The generalized Darmois--Israel formalism for Einstein--Gauss--Bonnet theory
is applied to construct thin-shell Lorentzian wormholes with spherical
symmetry. We calculate the energy localized on the shell, and we find that for
certain values of the parameters wormholes could be supported by matter not
violating the energy conditions.
| gr-qc astro-ph hep-th | the generalized darmoisisrael formalism for einsteingaussbonnet theory is applied to construct thinshell lorentzian wormholes with spherical symmetry we calculate the energy localized on the shell and we find that for certain values of the parameters wormholes could be supported by matter not violating the energy conditions | [['the', 'generalized', 'darmoisisrael', 'formalism', 'for', 'einsteingaussbonnet', 'theory', 'is', 'applied', 'to', 'construct', 'thinshell', 'lorentzian', 'wormholes', 'with', 'spherical', 'symmetry', 'we', 'calculate', 'the', 'energy', 'localized', 'on', 'the', 'shell', 'and', 'we', 'find', 'that', 'for', 'certain', 'values', 'of', 'the', 'parameters', 'wormholes', 'could', 'be', 'supported', 'by', 'matter', 'not', 'violating', 'the', 'energy', 'conditions']] | [-0.1428089585944848, 0.1448278250577657, -0.11106380020551708, 0.17205989030037966, -0.0921658871077892, -0.14152275667647304, -0.04323662820768178, 0.31811024301239976, -0.12799934255283163, -0.28978421865031123, 0.049716334506545376, -0.20190124231917056, -0.10338763190109444, 0.13159186992308367, -0.03637542799444181, 0.021839571274303245, -0.044478662476530706, 0.009087826646661953, -0.13740078519280677, -0.1740841941361356, 0.4328850106963807, 0.05512295439383825, 0.28026458353776, 0.074146525569908, 0.023548580361935106, -0.02633636266640995, 0.04610382814122283, 0.0785000061251871, -0.26663931860647333, 0.04694329815633271, 0.19771557923851776, 0.09785394084072956, 0.12611138241608505, -0.48489738446052955, -0.2706880491712819, 0.11857129061473129, 0.09506583551916739, 0.15844865337662076, -0.06799912796122953, -0.32500906499183696, 0.10179955313873032, -0.22116974812081974, -0.25540704781230056, -0.1178236028139034, 0.01641345109142687, -0.014948444015791883, -0.26668451529036724, 0.09789062744897345, -0.016039256411402122, -0.07217832938160586, -0.14888060795467184, -0.042018313963047185, -0.0568223715223291, -0.0015892115011608796, 0.10797211525293635, -0.05791466167885, 0.16411089729365852, -0.06644467881921193, -0.056284666830754795, 0.36966340681133064, -0.07657403272131215, -0.29202404452244873, 0.09424867130734998, -0.14391814632867667, -0.09147979691624641, 0.08308438305824023, 0.1051969554518228, 0.15996483925972943, -0.1351563813223038, 0.19141447942820378, -0.017768979295278372, 0.13844614241110242, 0.1601780332705897, -0.017468419138585097, 0.2909436592953685, 0.04224463853904087, 0.009245307974355377, 0.14650364676439812, -0.07113643942664014, -0.10525667309032186, -0.40356152820522373, -0.12650067354092165, -0.18300499629391276, 0.06112600373561018, -0.1254213630805759, -0.19675314665326607, 0.3715606046860795, 0.05828955119637692, 0.11474959124082132, 0.02396598097908756, 0.1880011422883557, 0.12879690074402353, 0.0629191325025876, 0.12380520794945567, 0.3320443080738187, 0.12655158566169278, 0.06441080789891598, -0.2199248233911298, -0.07673660482522911, 0.0628008188922768] |
710.2042 | Gravitomagnetism in superconductors and compact stars | There are three experimentally observed effects in rotating superconductors
that are so far unexplained. Some authors have tried to interpret such a
phenomena as possible new gravitational properties of coherent quantum systems:
in particular, they suggest that the gravitomagnetic field of that kind of
matter may be many orders of magnitude stronger than the one expected in the
standard theory. Here I show that this interpretation would be in conflict with
the common belief that neutron stars have neutrons in superfluid state and
protons in superconductive one.
| gr-qc | there are three experimentally observed effects in rotating superconductors that are so far unexplained some authors have tried to interpret such a phenomena as possible new gravitational properties of coherent quantum systems in particular they suggest that the gravitomagnetic field of that kind of matter may be many orders of magnitude stronger than the one expected in the standard theory here i show that this interpretation would be in conflict with the common belief that neutron stars have neutrons in superfluid state and protons in superconductive one | [['there', 'are', 'three', 'experimentally', 'observed', 'effects', 'in', 'rotating', 'superconductors', 'that', 'are', 'so', 'far', 'unexplained', 'some', 'authors', 'have', 'tried', 'to', 'interpret', 'such', 'a', 'phenomena', 'as', 'possible', 'new', 'gravitational', 'properties', 'of', 'coherent', 'quantum', 'systems', 'in', 'particular', 'they', 'suggest', 'that', 'the', 'gravitomagnetic', 'field', 'of', 'that', 'kind', 'of', 'matter', 'may', 'be', 'many', 'orders', 'of', 'magnitude', 'stronger', 'than', 'the', 'one', 'expected', 'in', 'the', 'standard', 'theory', 'here', 'i', 'show', 'that', 'this', 'interpretation', 'would', 'be', 'in', 'conflict', 'with', 'the', 'common', 'belief', 'that', 'neutron', 'stars', 'have', 'neutrons', 'in', 'superfluid', 'state', 'and', 'protons', 'in', 'superconductive', 'one']] | [-0.11248455803049193, 0.23551624356073209, -0.1025428345062952, 0.1412252556230209, -0.0913205949225645, -0.09849917802467258, 0.011981939245283004, 0.3719179428600032, -0.23450935720305505, -0.29698944807684197, 0.017951970574735052, -0.30515129711671635, -0.14238497967585578, 0.2206377794259581, -0.0423480953603726, 0.009117110485168195, 0.019299347831428736, 0.07091925329603684, -0.06892488385087693, -0.2391788599726305, 0.327435030917712, -0.008326411390430883, 0.2086556850525754, 0.021646371416362196, 0.018548677279346292, -0.0994357118896883, 0.043863225722920965, 0.06507745896862156, -0.09987585563903431, 0.043665565164952444, 0.2845956427312788, 0.0999915792831573, 0.22722507535811814, -0.4897561563157487, -0.2755221089391016, 0.12661327028796934, 0.16400893552840323, 0.14262992540781183, -0.07500647145441208, -0.24554886916202717, 0.07241991478963167, -0.21170155146833639, -0.14552411925711337, -0.09084058179380908, 0.047268700706986605, 0.033121919874958265, -0.15596462777633777, 0.05996537631532798, 0.08996232711153383, 0.030905110504606675, -0.04895272011729492, -0.148399300616363, 0.027285359829300266, 0.04266784433275461, 0.11251554721243807, 0.043998700509051226, 0.1036707906523484, -0.15433046499791758, -0.16346997775180244, 0.3852731036102592, -0.05090601107017967, -0.11832988813476658, 0.20881694577495172, -0.2032739945269864, -0.1660165531539369, 0.11025897207423702, 0.10740252710536294, 0.09979736780340986, -0.14416550291332833, -0.0028921342943259783, -0.0802301452361347, 0.1609309446280715, 0.08129610014201581, 0.13087320623212848, 0.2859843024106204, 0.13864218087829436, 0.012522293623381605, 0.06476704404560914, -0.08937745309038751, -0.08036146883052592, -0.28605934933106275, -0.15631972948603076, -0.14016972631001953, 0.0449264416786917, -0.028204979112568505, -0.1387698276760592, 0.32911827601492405, 0.23151966520108755, 0.1521976114456119, -0.07565888788165717, 0.27665679911472674, 0.08786243519306867, 0.0965157483715093, 0.06384613511591465, 0.38791551404724955, 0.1287002826816049, 0.07945483884420888, -0.18655281072354007, 0.09037175427201664, -0.020611158631014072] |
710.2043 | Roots, symmetries and conjugacy of pseudo-Anosov mapping classes | An algorithm is proposed that solves two decision problems for pseudo-Anosov
elements in the mapping class group of a surface with at least one marked fixed
point. The first problem is the root problem: decide if the element is a power
and in this case compute the roots. The second problem is the symmetry problem:
decide if the element commutes with a finite order element and in this case
compute this element. The structure theorem on which this algorithm is based
provides also a new solution to the conjugacy problem.
| math.DS math.GT | an algorithm is proposed that solves two decision problems for pseudoanosov elements in the mapping class group of a surface with at least one marked fixed point the first problem is the root problem decide if the element is a power and in this case compute the roots the second problem is the symmetry problem decide if the element commutes with a finite order element and in this case compute this element the structure theorem on which this algorithm is based provides also a new solution to the conjugacy problem | [['an', 'algorithm', 'is', 'proposed', 'that', 'solves', 'two', 'decision', 'problems', 'for', 'pseudoanosov', 'elements', 'in', 'the', 'mapping', 'class', 'group', 'of', 'a', 'surface', 'with', 'at', 'least', 'one', 'marked', 'fixed', 'point', 'the', 'first', 'problem', 'is', 'the', 'root', 'problem', 'decide', 'if', 'the', 'element', 'is', 'a', 'power', 'and', 'in', 'this', 'case', 'compute', 'the', 'roots', 'the', 'second', 'problem', 'is', 'the', 'symmetry', 'problem', 'decide', 'if', 'the', 'element', 'commutes', 'with', 'a', 'finite', 'order', 'element', 'and', 'in', 'this', 'case', 'compute', 'this', 'element', 'the', 'structure', 'theorem', 'on', 'which', 'this', 'algorithm', 'is', 'based', 'provides', 'also', 'a', 'new', 'solution', 'to', 'the', 'conjugacy', 'problem']] | [-0.12241808849179911, 0.04473073709798175, -0.0992453304067668, 0.012826120797803419, -0.10493689484428614, -0.13189240613331396, 0.03467070394092136, 0.3318032642515997, -0.3683425735268328, -0.23260945540128483, 0.1445680276167372, -0.30581239950325756, -0.1514072990251912, 0.16819474414094454, -0.07896321264819967, 0.026715333532128068, 0.07952599680154687, 0.10732927842376133, -0.07550586852658954, -0.2434769322241967, 0.3619185444381502, -0.018380953205956355, 0.23544141987545622, 0.06467483374290169, 0.16319775780042012, -0.029844026981542506, 0.018039356142334227, 0.012636660784482955, -0.06667116844239192, 0.09510379627528083, 0.28387299387508796, 0.0997319130841384, 0.3055608198693436, -0.35074450862076545, -0.14600983338637485, 0.2054536192988356, 0.09260202947383125, 0.09642104684866758, -0.07096621581068677, -0.17254725109992755, 0.1644607822695333, -0.13279614464069406, -0.16012635996772184, 0.052263078124572836, 0.03007603333228164, -0.07984442133456468, -0.3109683401138884, -0.01388512203864391, 0.048894621752616434, 0.04065596777945757, -0.033645525403941674, -0.06242413413193491, 0.054728748297525776, 0.12526731160469354, 0.017685292094635468, 0.0546936119078762, 0.03323504277634331, -0.0655954792888628, -0.1145741999666724, 0.45259211224814255, -0.020474197483983717, -0.2628828139975667, 0.10887335375623984, -0.1020964414295223, -0.18967179889894195, 0.13492976690952976, 0.13972871382462068, 0.1827708181614677, -0.10041742170708151, 0.1544094704182094, -0.11891672439459297, 0.18500538479388018, 0.023877605878644518, -0.10372097387185528, 0.12301995565907822, 0.17048043915484515, 0.18095567845222021, 0.15447448055363364, -0.026311259988384943, -0.03708825564632813, -0.3180695027306986, -0.20853043335179489, -0.19556741140679354, -0.00933818355616596, -0.10703451054966233, -0.19783379143724839, 0.42038978483113976, 0.13417078017567594, 0.15849260564686524, 0.08510182772168062, 0.2890764640644193, 0.17632090286869143, 0.02938394709805531, 0.11425522335100848, 0.15010309235917196, 0.13180863122300554, 0.0004961602751993471, -0.26174226145344115, 0.05603684346295065, 0.23045848172882366] |
710.2044 | Estimation of Gaussian graphs by model selection | We investigate in this paper the estimation of Gaussian graphs by model
selection from a non-asymptotic point of view. We start from a n-sample of a
Gaussian law P_C in R^p and focus on the disadvantageous case where n is
smaller than p. To estimate the graph of conditional dependences of P_C, we
introduce a collection of candidate graphs and then select one of them by
minimizing a penalized empirical risk. Our main result assess the performance
of the procedure in a non-asymptotic setting. We pay a special attention to the
maximal degree D of the graphs that we can handle, which turns to be roughly
n/(2 log p).
| math.ST stat.TH | we investigate in this paper the estimation of gaussian graphs by model selection from a nonasymptotic point of view we start from a nsample of a gaussian law p_c in rp and focus on the disadvantageous case where n is smaller than p to estimate the graph of conditional dependences of p_c we introduce a collection of candidate graphs and then select one of them by minimizing a penalized empirical risk our main result assess the performance of the procedure in a nonasymptotic setting we pay a special attention to the maximal degree d of the graphs that we can handle which turns to be roughly n2 log p | [['we', 'investigate', 'in', 'this', 'paper', 'the', 'estimation', 'of', 'gaussian', 'graphs', 'by', 'model', 'selection', 'from', 'a', 'nonasymptotic', 'point', 'of', 'view', 'we', 'start', 'from', 'a', 'nsample', 'of', 'a', 'gaussian', 'law', 'p_c', 'in', 'rp', 'and', 'focus', 'on', 'the', 'disadvantageous', 'case', 'where', 'n', 'is', 'smaller', 'than', 'p', 'to', 'estimate', 'the', 'graph', 'of', 'conditional', 'dependences', 'of', 'p_c', 'we', 'introduce', 'a', 'collection', 'of', 'candidate', 'graphs', 'and', 'then', 'select', 'one', 'of', 'them', 'by', 'minimizing', 'a', 'penalized', 'empirical', 'risk', 'our', 'main', 'result', 'assess', 'the', 'performance', 'of', 'the', 'procedure', 'in', 'a', 'nonasymptotic', 'setting', 'we', 'pay', 'a', 'special', 'attention', 'to', 'the', 'maximal', 'degree', 'd', 'of', 'the', 'graphs', 'that', 'we', 'can', 'handle', 'which', 'turns', 'to', 'be', 'roughly', 'n2', 'log', 'p']] | [-0.07821163024172323, 0.06106394077352154, -0.10409258192815228, 0.07540968388058417, -0.05465176305947227, -0.1587945879949684, 0.13063841585791883, 0.35273601162597673, -0.2343032245156825, -0.2768528410361721, 0.0902865559873043, -0.28829804855962754, -0.15814450419125567, 0.1486667782674894, -0.1265545190192349, 0.046988653715426494, 0.024605196975427894, 0.08731637576834188, -0.04222292406698091, -0.2768554005362286, 0.3184933937795529, 0.03469425966160013, 0.23439196685388888, 0.002638696932122795, 0.04927524520349134, 0.038216893471469844, -0.02859245509832004, 0.03532875842337898, -0.18026375077023232, 0.15098475914239165, 0.24920437881432542, 0.14130990738220034, 0.34451949657923586, -0.3388943502149724, -0.17337864662046382, 0.18256760587693627, 0.11222118230263164, 0.0764712734380737, 0.024785827258986277, -0.22746840282984146, 0.11459997733798596, -0.149340612608101, -0.10236136262399068, -0.02035841183019204, 0.0055102176981371475, 0.012427376634484037, -0.34234145859581067, 0.037506835714597765, 0.10592629394810134, 0.049756871544918334, 0.006644057383367775, -0.14269432894150735, 0.011714052688757625, 0.08178946462570938, 0.05272905359476155, 0.04098613442716385, 0.08954783242757629, -0.11484312047592339, -0.10294754618197816, 0.3719426033369035, -0.04443070959631426, -0.18603986392327404, 0.10634112379881083, -0.15325324975142102, -0.16677937918094868, 0.09174412175043221, 0.23505872634342026, 0.15984554361658002, -0.1287532814547693, 0.08814069174909366, -0.07586747262661063, 0.13823543148624728, 0.06702658258925337, -0.01578812749958661, 0.12682583906534, 0.17662906178931168, 0.11165614424427169, 0.2105227934715654, -0.0974662643603643, -0.06673581161698618, -0.3252608576498994, -0.12605881647830572, -0.2127508067722441, 0.06598149166589842, -0.16326332517761796, -0.14305976372417234, 0.3863419399793268, 0.1580427464465141, 0.2589933930537364, 0.11449673091415999, 0.245781196460743, 0.09873696494903074, 0.0031007789459865575, 0.10074265422555831, 0.16722901491875494, 0.12001892910210775, 0.0011815108666452792, -0.1644563951098078, 0.0799028273060952, 0.05528513198812415] |
710.2045 | Purity distribution for bipartite random pure states | Analytic expressions for the probability density distribution of the linear
entropy and the purity are derived for bipartite pure random quantum states.
The explicit distributions for a state belonging to a product of Hilbert spaces
of dimensions p and q are given for p=3 and any q>=3, as well as for p=q=4.
| quant-ph | analytic expressions for the probability density distribution of the linear entropy and the purity are derived for bipartite pure random quantum states the explicit distributions for a state belonging to a product of hilbert spaces of dimensions p and q are given for p3 and any q3 as well as for pq4 | [['analytic', 'expressions', 'for', 'the', 'probability', 'density', 'distribution', 'of', 'the', 'linear', 'entropy', 'and', 'the', 'purity', 'are', 'derived', 'for', 'bipartite', 'pure', 'random', 'quantum', 'states', 'the', 'explicit', 'distributions', 'for', 'a', 'state', 'belonging', 'to', 'a', 'product', 'of', 'hilbert', 'spaces', 'of', 'dimensions', 'p', 'and', 'q', 'are', 'given', 'for', 'p3', 'and', 'any', 'q3', 'as', 'well', 'as', 'for', 'pq4']] | [-0.09180361505311269, 0.16385383492049116, -0.0712725494388276, 0.10417486879473123, 0.049555851898800865, -0.14184028119780123, 0.028709296741558667, 0.31391631030979067, -0.20014591527601275, -0.2392325283637127, 0.0974017102092218, -0.27016435045068365, -0.057433438809731834, 0.19230916859725347, 0.003966081242721815, 0.1479698447868801, -0.008988442611343298, 0.13846152549824461, -0.11035510430631873, -0.24703156683020866, 0.3883894948432079, -0.029271270571581017, 0.26294314463694507, 0.0023933227281444347, 0.0878155234341438, 0.054787503698697455, 0.03435150103177875, -0.005914206741950833, -0.15501952756984302, 0.1135326463207513, 0.29928339597804904, 0.13258239487186074, 0.17199068709025875, -0.33741152508614153, -0.20641382998571947, 0.13605067296884954, 0.09666904425606705, 0.10019103856757283, -0.004593817416417341, -0.2699712151661515, 0.07222212023603228, -0.20636502103521848, -0.15706563397095755, -0.13361178413749888, 0.12613535049156502, 0.048139624727460056, -0.36974845970801723, 0.092492838018538, 0.08267679626274352, 0.05536028613837866, -0.09020287886064929, -0.16772011446748644, -0.0753642180083821, 0.15925301027555877, -0.07467038725287868, 0.01905724676684118, 0.047420900037440546, -0.15050379378506198, -0.142431369696099, 0.3482906797972436, -0.0425396586282519, -0.2482507718512072, 0.13217406867009301, -0.15215426180153513, -0.11445680286180085, 0.08731666645214248, 0.14256347971968353, 0.1355266680385774, -0.03319709601615054, 0.14652671680736462, -0.04178933766357099, 0.09590009085010164, 0.09043915917237218, 0.08715441261525624, 0.12411679603078832, 0.005263767455919431, 0.0752185701410501, 0.18150447076186538, -0.05680747302428175, -0.12164917387081704, -0.3816900107149894, -0.23942787640799695, -0.23772993366359374, 0.1061157296375873, -0.1210197390299492, -0.19138966153304166, 0.3565257556306628, -0.01515684120554047, 0.21363522099832502, 0.12164349402659215, 0.21039188001304865, 0.1498332847438108, -0.03075993858062877, 0.07225042120374453, 0.11838915002030823, 0.19339714188558552, -0.014233052766380401, -0.14583013075976992, 0.07477257582538116, 0.09095690767907609] |
710.2046 | Quark model: recent issues | In the first part I briefly survey recent issues in constituent quark models
raised by the observation of unusual hadronic states. In particular I discuss
the role of higher Fock components in the wave function of baryons and the
possible interpretation of open charm and of new charmonium-type resonances as
tetraquarks. In the second part I show support for the quark model dynamics
obtained in a model independent way from the $1/N_c$ expansion approach of QCD
which proved to be successful in describing baryon properties.
| hep-ph | in the first part i briefly survey recent issues in constituent quark models raised by the observation of unusual hadronic states in particular i discuss the role of higher fock components in the wave function of baryons and the possible interpretation of open charm and of new charmoniumtype resonances as tetraquarks in the second part i show support for the quark model dynamics obtained in a model independent way from the 1n_c expansion approach of qcd which proved to be successful in describing baryon properties | [['in', 'the', 'first', 'part', 'i', 'briefly', 'survey', 'recent', 'issues', 'in', 'constituent', 'quark', 'models', 'raised', 'by', 'the', 'observation', 'of', 'unusual', 'hadronic', 'states', 'in', 'particular', 'i', 'discuss', 'the', 'role', 'of', 'higher', 'fock', 'components', 'in', 'the', 'wave', 'function', 'of', 'baryons', 'and', 'the', 'possible', 'interpretation', 'of', 'open', 'charm', 'and', 'of', 'new', 'charmoniumtype', 'resonances', 'as', 'tetraquarks', 'in', 'the', 'second', 'part', 'i', 'show', 'support', 'for', 'the', 'quark', 'model', 'dynamics', 'obtained', 'in', 'a', 'model', 'independent', 'way', 'from', 'the', '1n_c', 'expansion', 'approach', 'of', 'qcd', 'which', 'proved', 'to', 'be', 'successful', 'in', 'describing', 'baryon', 'properties']] | [-0.07295347760165376, 0.1730448792375336, -0.08899659736614142, 0.07868505464977629, -0.04757765687203833, -0.05712640361439082, 0.06532512754867119, 0.2911462087649852, -0.21790058156918912, -0.2405706013641542, 0.025434202660107985, -0.26874232002800064, -0.10381109212037354, 0.09526267443184874, 0.026166428468145785, 0.060366786195940915, 0.05525501286943576, 0.013904370240024513, -0.01297604268863021, -0.24067106191068888, 0.3696309286155849, -0.00823338501643212, 0.19809770534214163, 0.12483317861776977, 0.05454184093867384, -0.022619004361331463, -0.091445688113925, -0.046515848415548955, -0.1019551196867334, 0.09245386465460927, 0.2274199023549088, 0.11434825935733291, 0.2006609314176742, -0.4078204875723237, -0.19739767838646435, 0.03959236256889112, 0.17856123961419576, 0.13707655025064014, -0.04097056152698185, -0.29895509624232847, 0.06726076176744841, -0.22059885283843392, -0.2286859740602917, -0.09886802048311524, 0.058733668455499266, 0.002884029565999905, -0.23015901598236746, 0.1041831611433909, 0.02699787534462909, 0.010400150979833035, -0.06942074153699823, -0.22979067040363416, -0.0004195118589060647, 0.06132650678600406, 0.08296218097980489, 0.05537902552723175, 0.06384802812023, -0.23676306354935236, -0.15904030660610824, 0.41500053427270833, -0.09059343455980222, -0.1358483708574481, 0.10344120362285703, -0.17134108945971266, -0.2002783193463637, 0.036830420374393553, 0.18885346220451452, 0.08580071878220354, -0.15443045991872037, 0.10400443752379422, -0.01961285668585333, 0.11808463129896804, 0.04521503301692151, 0.09630929217452094, 0.24342152021182256, 0.1876293070409225, -0.050781931859178474, 0.10834032637372036, -0.004449344240128994, -0.1024602078174385, -0.38581944115105127, -0.14369662142971287, -0.15903433279821738, 0.011525413487626273, -0.04772475125632593, -0.122170553282125, 0.44291379628703, 0.15641816771988357, 0.2525588471824968, -0.059897839896924175, 0.2955637952711965, 0.09001286286677766, 0.034615331007877274, 0.06417945516295731, 0.2850409029716892, 0.20483250783512458, 0.12480305580954466, -0.24237484827539274, 0.0015461109093545626, 0.08291267901880756] |
710.2047 | Theory of cooling neutron stars versus observations | We review current state of neutron star cooling theory and discuss the
prospects to constrain the equation of state, neutrino emission and superfluid
properties of neutron star cores by comparing the cooling theory with
observations of thermal radiation from isolated neutron stars.
| astro-ph | we review current state of neutron star cooling theory and discuss the prospects to constrain the equation of state neutrino emission and superfluid properties of neutron star cores by comparing the cooling theory with observations of thermal radiation from isolated neutron stars | [['we', 'review', 'current', 'state', 'of', 'neutron', 'star', 'cooling', 'theory', 'and', 'discuss', 'the', 'prospects', 'to', 'constrain', 'the', 'equation', 'of', 'state', 'neutrino', 'emission', 'and', 'superfluid', 'properties', 'of', 'neutron', 'star', 'cores', 'by', 'comparing', 'the', 'cooling', 'theory', 'with', 'observations', 'of', 'thermal', 'radiation', 'from', 'isolated', 'neutron', 'stars']] | [-0.02454129252804532, 0.25563619004207705, -0.06903198457855199, 0.08295005282741927, -0.1222914308753042, -0.01801329491926091, 0.0978419378599418, 0.31214138572769506, -0.18795179203152657, -0.3274443270195098, 0.03752378191399787, -0.34667708358860444, 0.07441208813162077, 0.2098522441506031, 0.07495199205974738, 0.0025952784344553947, 0.10580691323793005, 0.006759742097485633, -0.13118755659975467, -0.19213209459502695, 0.41102167203401524, 0.06966823396006865, 0.1795118392578193, 0.0352760013636379, 0.026396007121851046, -0.10624860104040376, -0.06088244768657854, -0.08032054897575151, -0.2003297769253896, -0.03132392891815731, 0.22623751130664632, 0.16844523041730836, 0.0651789588986763, -0.5229943695345095, -0.2755957611370832, 0.047583933952929716, 0.11295815419760488, 0.08446011701155276, -0.1016286354556325, -0.26993693766139804, 0.002459732135840958, -0.2797548333182931, -0.21688222784238556, -0.04010434787986534, -0.009966870947253136, 0.0803733609971546, -0.16939857100979203, 0.10240678756686282, 0.020958830111859634, -0.032231348721931376, -0.19081778946288286, -0.11678167283978491, 0.006165886297821999, -0.02350513938637007, 0.04908846786600493, 0.062474763165006324, 0.22058012211761838, -0.26403004131723373, -0.0862024590106947, 0.3741691444246542, -0.09479265410031769, 0.04332245260870661, 0.15071339581516527, -0.2510112815514384, -0.14219627537143728, 0.12059059480781711, 0.07958238123960439, 0.17504401487253962, -0.15888150342340981, -0.03893472193019642, 0.04678264284683835, 0.16313440329949594, 0.031603563976074965, 0.07805490513731327, 0.4140025434039888, 0.25373722865645376, -0.06508050194852763, 0.11648320233715433, -0.24222979898608865, -0.07572510643374353, -0.24391215813479253, -0.09577617554792336, -0.10725319580662818, 0.13629235058934205, -0.057232104218980694, -0.09259805588849954, 0.3157834941964774, 0.11520404197896521, 0.0827380402811936, -0.029358205518552234, 0.3224756071077926, 0.09719885433358806, -0.03682912766401257, 0.09199340093792194, 0.3390289309124152, 0.3509494325955443, 0.08662506676323357, -0.4351098802594823, 0.015258496228073324, 0.0030757353330651918] |
710.2048 | Longitudinal double-spin asymmetry for inclusive jet production in p+p
collisions at sqrt(s)=200 GeV | We report a new STAR measurement of the longitudinal double-spin asymmetry
A_LL for inclusive jet production at mid-rapidity in polarized p+p collisions
at a center-of-mass energy of sqrt(s) = 200 GeV. The data, which cover jet
transverse momenta 5 < p_T < 30 GeV/c, are substantially more precise than
previous measurements. They provide significant new constraints on the gluon
spin contribution to the nucleon spin through the comparison to predictions
derived from one global fit of polarized deep-inelastic scattering
measurements.
| hep-ex | we report a new star measurement of the longitudinal doublespin asymmetry a_ll for inclusive jet production at midrapidity in polarized pp collisions at a centerofmass energy of sqrts 200 gev the data which cover jet transverse momenta 5 p_t 30 gevc are substantially more precise than previous measurements they provide significant new constraints on the gluon spin contribution to the nucleon spin through the comparison to predictions derived from one global fit of polarized deepinelastic scattering measurements | [['we', 'report', 'a', 'new', 'star', 'measurement', 'of', 'the', 'longitudinal', 'doublespin', 'asymmetry', 'a_ll', 'for', 'inclusive', 'jet', 'production', 'at', 'midrapidity', 'in', 'polarized', 'pp', 'collisions', 'at', 'a', 'centerofmass', 'energy', 'of', 'sqrts', '200', 'gev', 'the', 'data', 'which', 'cover', 'jet', 'transverse', 'momenta', '5', 'p_t', '30', 'gevc', 'are', 'substantially', 'more', 'precise', 'than', 'previous', 'measurements', 'they', 'provide', 'significant', 'new', 'constraints', 'on', 'the', 'gluon', 'spin', 'contribution', 'to', 'the', 'nucleon', 'spin', 'through', 'the', 'comparison', 'to', 'predictions', 'derived', 'from', 'one', 'global', 'fit', 'of', 'polarized', 'deepinelastic', 'scattering', 'measurements']] | [-0.052234540670783584, 0.24347100360319018, -0.1588175921374327, 0.1334190196660045, -0.06411728375083343, -0.09271592628694587, -0.03785775940526615, 0.375542666457666, -0.18780993572254848, -0.29430175604081, -0.10400351925674439, -0.38941468318392125, 0.21192308858811082, 0.20211338967858972, 0.1220125619007589, 0.06953360811601599, 0.1783391124441881, -0.05147098922495755, -0.05133341514813871, -0.18046857924623924, 0.27764210954018226, 0.11123015656281117, 0.24480365623127331, 0.19442396591623107, 0.08574064814503753, 0.14122770455826147, -0.10134979315304693, -0.059597563857285235, -0.17368150353673603, 0.0772637864911185, 0.28775454679006623, -0.008167166722478804, 0.029069169536353898, -0.33810162413623424, -0.06098110216681833, 0.07094843655389238, 0.13443468902381017, 0.10124785451115678, -0.05243011672815532, -0.23340718350191783, 0.07429572190732586, -0.2749417465869579, -0.11851850911587863, -0.056198014025032134, -0.0028219301096320927, -0.035570220217447386, -0.3324735498950853, 0.1713659184593284, -0.04916300452858597, 0.11111528052972605, -0.02123602549545467, -0.25098315050656145, -0.12078885616758814, -0.06251490085881639, 0.11530173775534351, 0.20242068476902395, 0.22266620964827863, -0.16042165174723494, -0.21865590278349525, 0.32672502049668267, 0.03565207677919799, -0.11860184699248572, 0.12878976358016106, -0.32972362929011706, -0.1610822159155913, 0.23400699674732403, 0.31538755381358907, 0.10571726763548402, -0.23517122649430455, -0.022933577550212286, -0.029966048073846025, 0.1949611415772082, 0.11650093925161312, 0.07490119880651934, 0.17672629648359953, 0.195253232663328, 0.013758564658172719, 0.01348027083705264, -0.201141750848967, -0.044005331480512756, -0.40579514722067667, -0.04693743505503063, -0.05425533681333839, 0.14185629597586857, -0.0906049844131551, 0.04042571087597639, 0.394291304293778, 0.07221370209970393, 0.31560665665061344, 0.0035814419071274724, 0.3699877533408535, 0.06158946020537746, 0.07468098995892646, 0.10464633883327826, 0.3400529273725175, 0.21112471383500409, 0.27461129898665015, -0.22006121832671782, 0.023482532899633243, -0.04029368131735979] |
710.2049 | The volume and Chern-Simons invariant of a representation | We give an efficient simplicial formula for the volume and Chern-Simons
invariant of a boundary-parabolic PSL(2,C)-representation of a tame 3-manifold.
If the representation is the geometric representation of a hyperbolic
3-manifold, our formula computes the volume and Chern-Simons invariant directly
from an ideal triangulation with no use of additional combinatorial topology.
In particular, the Chern-Simons invariant is computed just as easily as the
volume.
| math.GT | we give an efficient simplicial formula for the volume and chernsimons invariant of a boundaryparabolic psl2crepresentation of a tame 3manifold if the representation is the geometric representation of a hyperbolic 3manifold our formula computes the volume and chernsimons invariant directly from an ideal triangulation with no use of additional combinatorial topology in particular the chernsimons invariant is computed just as easily as the volume | [['we', 'give', 'an', 'efficient', 'simplicial', 'formula', 'for', 'the', 'volume', 'and', 'chernsimons', 'invariant', 'of', 'a', 'boundaryparabolic', 'psl2crepresentation', 'of', 'a', 'tame', '3manifold', 'if', 'the', 'representation', 'is', 'the', 'geometric', 'representation', 'of', 'a', 'hyperbolic', '3manifold', 'our', 'formula', 'computes', 'the', 'volume', 'and', 'chernsimons', 'invariant', 'directly', 'from', 'an', 'ideal', 'triangulation', 'with', 'no', 'use', 'of', 'additional', 'combinatorial', 'topology', 'in', 'particular', 'the', 'chernsimons', 'invariant', 'is', 'computed', 'just', 'as', 'easily', 'as', 'the', 'volume']] | [-0.16751635309663557, 0.10409627736976651, -0.14668825185961193, 0.1027509105088751, -0.1295303629326915, -0.12695605447515845, -0.024199118453358846, 0.279441484146648, -0.2863693498666324, -0.282013841002943, 0.09391226291856063, -0.23316961988097146, -0.22133831599993364, 0.15728797710367612, -0.16414326419019037, -0.009175660410186364, 0.06404952416639953, 0.13767875210633354, -0.12249109786295329, -0.20730428996362857, 0.3664057145619558, -0.0001473807885001103, 0.19141930763033174, 0.10699470684723189, 0.1976512508274662, 0.005923681744625644, -0.036153956597286555, 0.053906344668200566, -0.18287030817379082, 0.1508354413958769, 0.26836278614780257, 0.07107267625230763, 0.09022283555185866, -0.3856071838665576, -0.14503271001878948, 0.12205547444699776, 0.11422615969139668, 0.06514877134135791, -0.049090479958861594, -0.27756191488532794, 0.08777620670725665, -0.16540163073186126, -0.14730516781232186, -0.09190831395486991, 0.047827105111782516, -0.09236521574868155, -0.24089538245387968, 0.0043466838653243725, 0.05707384151450935, 0.11247517143390955, -0.038525624873323575, -0.06517281523713517, -0.07263607911336871, 0.133001904528115, -0.008347827652912764, 0.12100405299237796, 0.1151251312833102, -0.13091044260987214, -0.11041674966968242, 0.40709376985591555, -0.08865671729048093, -0.3262418063860091, 0.12303915587327784, -0.10030421349293893, -0.1713749359007038, 0.20823322549935372, 0.08104429515226493, 0.14654484601129616, -0.07083111379059061, 0.1939842917952716, -0.15226293961325335, 0.12014393661067718, 0.06367239135775775, -0.006607404078489968, 0.18597247080493068, 0.09059693158367678, 0.12854732000934227, 0.18358544523860992, -0.012515445727677573, -0.04036908364662575, -0.37168854244408156, -0.2768832953824174, -0.2303737413419026, 0.12928430625193177, -0.18103096054983325, -0.23787834809073025, 0.3287235699771416, 0.012075924166729526, 0.169690658458479, 0.15174209008303782, 0.3107550750294375, 0.10441603562110917, 0.06818334920893586, 0.059955591069800515, 0.08913302899519396, 0.1544588672529374, -0.015486941362420717, -0.17237404766418632, -0.01998988792507185, 0.2505070770691548] |
710.205 | The control of iron oxidation state during FeO and olivine crystal
growth | Crystal growth experiments (micro-pulling down or Czochralski methods,
respectively) and DTA/TG measurements with Fe2+ containing olivines
(fayalite--forsterite solid solution) and with FeO (wustite) are performed. For
both substances the oxygen partial pressure p_O2 of the growth atmosphere had
to be adjusted within the stability region of Fe2+ for all temperatures ranging
from room temperature to the melting point. The formation of Fe3+ (Fe3O4,
Fe2O3) had to be avoided. The adjustment of p_O2 could be obtained by a mixture
of argon, carbon dioxide and carbon monoxide. Thermodynamic equilibrium
calculations show, that mixtures of an inert gas (e.g. argon) with another gas
or gas mixture that supplies oxygen at elevated temperature (e.g. CO2/CO) are
superior to the use of inert gases with constant oxygen admixture. The reason
is that the Ar/CO2/CO mixture adjusts its oxygen concentration with temperature
in a way similar to that needed for the stabilization of Fe2+.
| cond-mat.mtrl-sci physics.chem-ph | crystal growth experiments micropulling down or czochralski methods respectively and dtatg measurements with fe2 containing olivines fayaliteforsterite solid solution and with feo wustite are performed for both substances the oxygen partial pressure p_o2 of the growth atmosphere had to be adjusted within the stability region of fe2 for all temperatures ranging from room temperature to the melting point the formation of fe3 fe3o4 fe2o3 had to be avoided the adjustment of p_o2 could be obtained by a mixture of argon carbon dioxide and carbon monoxide thermodynamic equilibrium calculations show that mixtures of an inert gas eg argon with another gas or gas mixture that supplies oxygen at elevated temperature eg co2co are superior to the use of inert gases with constant oxygen admixture the reason is that the arco2co mixture adjusts its oxygen concentration with temperature in a way similar to that needed for the stabilization of fe2 | [['crystal', 'growth', 'experiments', 'micropulling', 'down', 'or', 'czochralski', 'methods', 'respectively', 'and', 'dtatg', 'measurements', 'with', 'fe2', 'containing', 'olivines', 'fayaliteforsterite', 'solid', 'solution', 'and', 'with', 'feo', 'wustite', 'are', 'performed', 'for', 'both', 'substances', 'the', 'oxygen', 'partial', 'pressure', 'p_o2', 'of', 'the', 'growth', 'atmosphere', 'had', 'to', 'be', 'adjusted', 'within', 'the', 'stability', 'region', 'of', 'fe2', 'for', 'all', 'temperatures', 'ranging', 'from', 'room', 'temperature', 'to', 'the', 'melting', 'point', 'the', 'formation', 'of', 'fe3', 'fe3o4', 'fe2o3', 'had', 'to', 'be', 'avoided', 'the', 'adjustment', 'of', 'p_o2', 'could', 'be', 'obtained', 'by', 'a', 'mixture', 'of', 'argon', 'carbon', 'dioxide', 'and', 'carbon', 'monoxide', 'thermodynamic', 'equilibrium', 'calculations', 'show', 'that', 'mixtures', 'of', 'an', 'inert', 'gas', 'eg', 'argon', 'with', 'another', 'gas', 'or', 'gas', 'mixture', 'that', 'supplies', 'oxygen', 'at', 'elevated', 'temperature', 'eg', 'co2co', 'are', 'superior', 'to', 'the', 'use', 'of', 'inert', 'gases', 'with', 'constant', 'oxygen', 'admixture', 'the', 'reason', 'is', 'that', 'the', 'arco2co', 'mixture', 'adjusts', 'its', 'oxygen', 'concentration', 'with', 'temperature', 'in', 'a', 'way', 'similar', 'to', 'that', 'needed', 'for', 'the', 'stabilization', 'of', 'fe2']] | [-0.010280361239685966, 0.20412639409458216, -0.01901371314286672, -0.04997019755798553, 0.04984030910639157, -0.154335049086989, 0.10889104763688198, 0.40686881241894424, -0.22729395670366698, -0.3085269652680365, 0.08820677747676985, -0.32489751876685125, 0.01998235313542958, 0.11050249640508715, 0.01571815993681004, -0.010135841193400195, -0.019159175555928255, -0.048070915922089, -0.0892315822011181, -0.2447935229488488, 0.22403537738136947, 0.0965940473476778, 0.2529112211027151, 0.0880250027660152, 0.059262376143757636, -0.10515610953343325, 0.10809711501773062, 0.005268977704490053, -0.1505393630449644, 0.0745268195225247, 0.2670182864567072, -0.012462692977539424, 0.19145383574068547, -0.4613334256256449, -0.2373597049250685, 0.05252420800770151, 0.0918596560687453, 0.11666926630483619, -0.11575252017134736, -0.21186071243137122, 0.03479773161997055, -0.14171445059333124, -0.1547569926876318, -0.08113455041472255, -0.038170585368663586, 0.01876125236780479, -0.2920615884186379, 0.114306525778475, 0.02896933148711406, 0.11167189716155729, -0.1609599691213526, -0.21018988548392623, -0.1416817663269567, 0.045976613683561825, 0.045867656352769196, 0.011941626401425435, 0.2760948284175889, -0.05952289919047777, -0.0034842028796415905, 0.411705985691013, -0.1281548988082093, -0.06007214569775709, 0.2352502592269267, -0.14650592628609518, -0.10202104884986606, 0.2530058139999365, 0.08477386450354844, 0.0911997363621626, -0.147405519318799, 0.00749691928905467, -0.009835769537964771, 0.21078137747786843, 0.12894089690184798, -0.015208883095404198, 0.2643839431733921, 0.19630641234589033, 0.018300299667592706, 0.12876750209995, -0.12047902425301486, -0.047861703237968276, -0.1544072274022318, -0.23491902774328302, -0.12816849434507432, 0.02524253445324199, -0.09208047003716086, -0.19151461447492757, 0.27632085177886845, 0.09785423037387302, 0.16543541928945943, -0.07455781528019699, 0.2582774771361387, 0.04427359917217159, 0.04908707978942528, 0.011730179478462529, 0.20985337619766078, 0.1679206931915391, 0.09935054992614635, -0.29103052068405366, 0.16169759376809514, 0.01790787855580706] |
710.2051 | Lecture Notes on Quantum Teichmuller Theory | These notes are based on a lecture course by L. Chekhov held at the
University of Manchester in May 2006 and February-March 2007. They are
divulgative in character, and instead of containing rigorous mathematical
proofs, they illustrate statements giving an intuitive insight. We
intentionally remove most bibliographic references from the body of the text
devoting a special section to the history of the subject at the end.
| math.AG math-ph math.MP | these notes are based on a lecture course by l chekhov held at the university of manchester in may 2006 and februarymarch 2007 they are divulgative in character and instead of containing rigorous mathematical proofs they illustrate statements giving an intuitive insight we intentionally remove most bibliographic references from the body of the text devoting a special section to the history of the subject at the end | [['these', 'notes', 'are', 'based', 'on', 'a', 'lecture', 'course', 'by', 'l', 'chekhov', 'held', 'at', 'the', 'university', 'of', 'manchester', 'in', 'may', '2006', 'and', 'februarymarch', '2007', 'they', 'are', 'divulgative', 'in', 'character', 'and', 'instead', 'of', 'containing', 'rigorous', 'mathematical', 'proofs', 'they', 'illustrate', 'statements', 'giving', 'an', 'intuitive', 'insight', 'we', 'intentionally', 'remove', 'most', 'bibliographic', 'references', 'from', 'the', 'body', 'of', 'the', 'text', 'devoting', 'a', 'special', 'section', 'to', 'the', 'history', 'of', 'the', 'subject', 'at', 'the', 'end']] | [-0.05262778741289918, 0.06761590347146425, -0.14100414484908635, 0.06322687980718911, -0.13740298634917109, -0.11460940362038938, 0.05604317982568208, 0.31458154982520325, -0.18916049067312005, -0.33699745168401435, 0.12534562878621122, -0.33241528136105364, -0.126732277881467, 0.2083640112365229, -0.16049624440457785, -0.04900272829620393, 0.06657968345803744, 0.03916047307465113, -0.020273790832354942, -0.3310328459395378, 0.28832630047250085, 0.09872329464379812, 0.24120053753369686, 0.05859327413649722, 0.08065842116025812, 0.021544998596337708, -0.14392591336262273, -0.041092935991896826, -0.12899818597361445, 0.13653822433711452, 0.32562142551283946, 0.12522383820914634, 0.31518317989045475, -0.4881610410767748, -0.08113563551468718, -0.032914393595560934, 0.06428622700288102, 0.1396658212920143, 0.0018483974078359704, -0.33765637380720087, 0.038855928645441025, -0.13825015592738055, -0.06868196092457793, -0.007604311876506968, 0.06120412959717214, 0.014912191326871063, -0.15776967677767528, 0.012960444162176414, 0.11777238047568861, 0.16884085701101206, -0.014171735676372367, -0.17366698090777252, 0.01360320870651666, 0.1372428601678235, 0.010771063495088707, 0.01211619677699425, 0.09602178876626898, -0.10764822224155068, -0.10013923207015703, 0.3650969823709492, 0.011019886063877493, -0.1337316626061996, 0.21372582543655438, -0.09406990858472207, -0.16582625693020722, 0.09715673398882659, 0.22241572553122585, 0.061637319666756826, -0.1685851781318585, 0.0784162854137266, -0.0372889866608382, 0.16602583641581464, 0.1502069702625952, -0.00674500137877961, 0.23708289095454596, 0.06807998215575053, -0.06508905678338399, 0.09711561295570749, -0.014005367118498367, -0.09654992044141347, -0.36513161715684517, -0.12761157714394908, -0.14951019770832677, 0.06034545210952109, 0.027756075869106236, -0.11454226389865983, 0.4021995020465869, 0.12437725974649022, 0.18109885564384362, -0.02245308015721314, 0.19088288183521593, 0.06541127817719385, 0.009369443248336514, 0.07079423945679357, 0.20307039317082276, 0.10228340156644469, 0.18218204252788742, -0.05363894367915099, 0.05735146058158892, 0.1102229430989334] |
710.2052 | Boltzmann, Gibbs and the Concept of Equilibrium | The Boltzmann and Gibbs approaches to statistical mechanics have very
different definitions of equilibrium and entropy. The problems associated with
this are discussed and it is suggested that they can be resolved, to produce a
version of statistical mechanics incorporating both approaches, by redefining
equilibrium not as a binary property (being/not being in equilibrium) but as a
continuous property (degrees of equilibrium) measured by the Boltzmann entropy
and by introducing the idea of thermodynamic-like behaviour for the Boltzmann
entropy. The Kac ring model is used as an example to test the proposals.
| cond-mat.stat-mech | the boltzmann and gibbs approaches to statistical mechanics have very different definitions of equilibrium and entropy the problems associated with this are discussed and it is suggested that they can be resolved to produce a version of statistical mechanics incorporating both approaches by redefining equilibrium not as a binary property beingnot being in equilibrium but as a continuous property degrees of equilibrium measured by the boltzmann entropy and by introducing the idea of thermodynamiclike behaviour for the boltzmann entropy the kac ring model is used as an example to test the proposals | [['the', 'boltzmann', 'and', 'gibbs', 'approaches', 'to', 'statistical', 'mechanics', 'have', 'very', 'different', 'definitions', 'of', 'equilibrium', 'and', 'entropy', 'the', 'problems', 'associated', 'with', 'this', 'are', 'discussed', 'and', 'it', 'is', 'suggested', 'that', 'they', 'can', 'be', 'resolved', 'to', 'produce', 'a', 'version', 'of', 'statistical', 'mechanics', 'incorporating', 'both', 'approaches', 'by', 'redefining', 'equilibrium', 'not', 'as', 'a', 'binary', 'property', 'beingnot', 'being', 'in', 'equilibrium', 'but', 'as', 'a', 'continuous', 'property', 'degrees', 'of', 'equilibrium', 'measured', 'by', 'the', 'boltzmann', 'entropy', 'and', 'by', 'introducing', 'the', 'idea', 'of', 'thermodynamiclike', 'behaviour', 'for', 'the', 'boltzmann', 'entropy', 'the', 'kac', 'ring', 'model', 'is', 'used', 'as', 'an', 'example', 'to', 'test', 'the', 'proposals']] | [-0.029506749726811443, 0.14040290179120626, -0.18267203747182265, 0.09261241193558857, -0.02453295832274707, -0.18271596329082007, 0.01855582078141007, 0.3273169298011523, -0.32375545075142775, -0.2793962036638142, 0.10520800671176883, -0.27565456600348043, -0.0804178972452224, 0.15369789758863459, -0.050851724663196686, 0.1150827585402262, 0.04966691252007917, 0.0425006968204628, -0.07249800331128127, -0.21025209034189254, 0.3059119601723748, 0.11291264689394406, 0.27172594832686275, 0.04136245942336845, 0.12967409205285238, -0.02488203279182806, 0.016214132666521306, 0.13126718798897916, -0.12829399326917584, 0.10904397650629508, 0.23581907422292037, 0.14489429935321704, 0.29747745417222216, -0.38144466709754954, -0.2680933690722008, 0.10752093335511265, 0.09762666619556783, 0.11937911173963285, -0.004593564473747552, -0.242152476935279, 0.0731919779708343, -0.19751448061951732, -0.15766796701495628, -0.12571155376077353, 0.0031487028841133955, 0.029095755808137277, -0.2124634616557959, 0.10696564091799352, 0.11980853215433084, 0.04922767835003989, -0.07449798294148602, -0.09408121152299938, -0.02151467678761417, 0.07884962980093045, 0.04733970045280939, 0.005824590214415566, 0.1319953045132314, -0.1363993247300591, -0.15723119540764327, 0.407675898459914, -0.04418368052159037, -0.26241016453439064, 0.21014128094232018, -0.06900494932555236, -0.1148194229373565, 0.06850814521005684, 0.07454851973842788, 0.11694961340054051, -0.1962201352804326, 0.06464305999279432, -0.03307048866786268, 0.11118941271682731, 0.043522558241550414, 0.01968858314289169, 0.22544304641721014, 0.09329683933238202, -0.0016004317104279136, 0.15829246250431533, -0.036277967991926556, -0.2039429025755233, -0.2786936881532381, -0.16002552922057744, -0.2378771608045509, 0.08084578366178104, -0.04877392119142114, -0.17747331432138497, 0.3332933332402628, 0.14925926987716293, 0.19680518354033374, 0.05498836104563632, 0.2532426905255396, 0.1507468937479144, 0.04663513019517228, 0.07629908584467657, 0.23935515019763773, 0.15713846315834468, 0.10791299292551619, -0.19012392046707835, 0.09099489513395743, 0.10912534562553597] |
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