id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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709.1235 | Monotonicity for entrywise functions of matrices | We characterize real functions $f$ on an interval $(-\alpha,\alpha)$ for
which the entrywise matrix function $[a_{ij}] \mapsto [f(a_{ij})]$ is positive,
monotone and convex, respectively, in the positive semidefiniteness order.
Fractional power functions are exemplified and related weak majorizations are
shown.
| math.FA | we characterize real functions f on an interval alphaalpha for which the entrywise matrix function a_ij mapsto fa_ij is positive monotone and convex respectively in the positive semidefiniteness order fractional power functions are exemplified and related weak majorizations are shown | [['we', 'characterize', 'real', 'functions', 'f', 'on', 'an', 'interval', 'alphaalpha', 'for', 'which', 'the', 'entrywise', 'matrix', 'function', 'a_ij', 'mapsto', 'fa_ij', 'is', 'positive', 'monotone', 'and', 'convex', 'respectively', 'in', 'the', 'positive', 'semidefiniteness', 'order', 'fractional', 'power', 'functions', 'are', 'exemplified', 'and', 'related', 'weak', 'majorizations', 'are', 'shown']] | [-0.14406293838615775, 0.1023551669913056, 0.053950028775848057, 0.10056133113960784, -0.007466345474025921, -0.15567001465119815, -0.06459976585679933, 0.41238140657936273, -0.3506570491743715, -0.14898220324692757, 0.12052733857662563, -0.3624750655144453, -0.19403738832395329, 0.16152586827152654, -0.03197283170333034, 0.15995288756676018, -0.06436828896403313, 0.0472739861885968, -0.1493791287617856, -0.24774769757335124, 0.36222468885151965, -0.08391614868550708, 0.1526300431670327, 0.14729447807430437, 0.09613841487780998, -0.023484808392822742, -0.053594731921820266, -0.006698734323052983, -0.1411899434108483, 0.024345559674609257, 0.2555855886128388, 0.15543263921465136, 0.31274776565107076, -0.33896805645015676, -0.1007519273675586, 0.25358813991279977, 0.06293028980297477, -0.11174436481240646, -0.009490891497606705, -0.28980183287670735, 0.14388942252844572, -0.09380862567769854, -0.0693307156478496, -0.1428937883128559, 0.09186054807842563, 0.11419865332151714, -0.46025564452927364, 0.10719412883841678, 0.04362170638418511, 0.03498116277746464, -0.07076234627809179, -0.2634864051973349, -0.015431416208708757, 0.05335685152462438, -0.005043798444890662, 0.07772255489774245, 0.07076000160458007, 0.004324929611022143, -0.04166693474460197, 0.2715162413292809, -0.04430591869229255, -0.312609595896088, 0.08434706404315014, -0.21851756200684527, -0.10854418291465233, 0.0792263349224078, 0.15476136311496558, 0.1888477327792268, -0.09871590997729647, 0.2020774173862791, -0.05751496705373651, 0.19115329509306894, 0.06755794190164459, 0.0035600336452357864, 0.10341573351577513, -0.004957946850673149, 0.20195384720634474, 0.16881748674878558, 0.06657121208569917, -0.08019174106026951, -0.3236174305998965, -0.12067431130593545, -0.26134966936354576, 0.0988098306728429, -0.14948878235009033, -0.1930648302069657, 0.37587121776060056, -0.0010338790812774708, 0.17345360882188143, 0.15139941146021316, 0.19124911289269986, 0.2861483134574404, -0.012991301372255149, 0.026649053437531142, 0.10454044206754158, 0.20417266802886794, 0.041056278480314894, -0.2099270037694001, 0.09568907126882359, 0.11958310231076259] |
709.1236 | The metal abundance of circumnuclear star forming regions in early type
spirals. Spectrophotometric observations | We have obtained long-slit observations in the optical and near infrared of
12 circumnuclear HII regions (CNSFR) in the early type spiral galaxies NGC
2903, NGC 3351 and NGC 3504 with the aim of deriving their chemical abundances.
Only for one of the regions, the [SIII] $\lambda$ 6312 \AA was detected
providing, together with the nebular [SIII] lines at $\lambda\lambda$ 9069,
9532 \AA, a value of the electron temperature of T$_e$([SIII])= 8400$^{+
4650}_{-1250}$K. A semi-empirical method for the derivation of abundances in
the high metallicity regime is presented.
We obtain abundances which are comparable to those found in high metallicity
disc HII regions from direct measurements of electron temperatures and
consistent with solar values within the errors. The region with the highest
oxygen abundance is R3+R4 in NGC 3504, 12+log(O/H) = 8.85, about 1.5 solar if
the solar oxygen abundance is set at the value derived by Asplund et al.
(2005), 12+log(O/H)$_{\odot}$ = 8.66$\pm$0.05. Region R7 in NGC 3351 has the
lowest oxygen abundance of the sample, about 0.6 times solar. In all the
observed CNSFR the O/H abundance is dominated by the O$^+$/H$^+$ contribution,
as is also the case for high metallicity disc HII regions. For our observed
regions, however, also the S$^+$/S$^{2+}$ ratio is larger than one, contrary to
what is found in high metallicity disc HII regions for which, in general, the
sulphur abundances are dominated by S$^{2+}$/H$^+$...
| astro-ph | we have obtained longslit observations in the optical and near infrared of 12 circumnuclear hii regions cnsfr in the early type spiral galaxies ngc 2903 ngc 3351 and ngc 3504 with the aim of deriving their chemical abundances only for one of the regions the siii lambda 6312 aa was detected providing together with the nebular siii lines at lambdalambda 9069 9532 aa a value of the electron temperature of t_esiii 8400 4650_1250k a semiempirical method for the derivation of abundances in the high metallicity regime is presented we obtain abundances which are comparable to those found in high metallicity disc hii regions from direct measurements of electron temperatures and consistent with solar values within the errors the region with the highest oxygen abundance is r3r4 in ngc 3504 12logoh 885 about 15 solar if the solar oxygen abundance is set at the value derived by asplund et al 2005 12logoh_odot 866pm005 region r7 in ngc 3351 has the lowest oxygen abundance of the sample about 06 times solar in all the observed cnsfr the oh abundance is dominated by the oh contribution as is also the case for high metallicity disc hii regions for our observed regions however also the ss2 ratio is larger than one contrary to what is found in high metallicity disc hii regions for which in general the sulphur abundances are dominated by s2h | [['we', 'have', 'obtained', 'longslit', 'observations', 'in', 'the', 'optical', 'and', 'near', 'infrared', 'of', '12', 'circumnuclear', 'hii', 'regions', 'cnsfr', 'in', 'the', 'early', 'type', 'spiral', 'galaxies', 'ngc', '2903', 'ngc', '3351', 'and', 'ngc', '3504', 'with', 'the', 'aim', 'of', 'deriving', 'their', 'chemical', 'abundances', 'only', 'for', 'one', 'of', 'the', 'regions', 'the', 'siii', 'lambda', '6312', 'aa', 'was', 'detected', 'providing', 'together', 'with', 'the', 'nebular', 'siii', 'lines', 'at', 'lambdalambda', '9069', '9532', 'aa', 'a', 'value', 'of', 'the', 'electron', 'temperature', 'of', 't_esiii', '8400', 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709.1237 | Transition rates for a S \ge 1 model coupled to a phonon bath | We investigate transition rates between different spin configurations for $S
\ge 1$ spins weakly coupled to a $d$-dimensional phonon bath. This study is
motivated by understanding observed magnetization relaxation as a function of
temperature in diverse magnetic systems such as arrays of magnetic
nanoparticles and magnetic molecules. We assume that the magnetization of the
spin system relaxes through consecutive emission or absorption of a single
phonon. From a weak, linear spin-phonon coupling Hamiltonian, we derive
transition rates that would be used to examine dynamic properties of the system
in kinetic Monte Carlo simulations. Although the derived phonon-assisted
transition rates satisfy detailed balance, in the case of two and three
dimensional phonon baths, transitions between degenerate states are not
allowed. Thus, if there are no alternative paths along which the spin system
can relax, the relaxation time diverges. Otherwise, the system finds other
paths, which leads to an increase in the relaxation time and energy barrier.
However, when higher-order phonon processes are included in the transition
rates, it is found that the system can reach the states which were inaccessible
due to the forbidden transitions. As a result, the system recovers some of the
dynamic properties obtained using the Glauber transition rate.
| cond-mat.mtrl-sci | we investigate transition rates between different spin configurations for s ge 1 spins weakly coupled to a ddimensional phonon bath this study is motivated by understanding observed magnetization relaxation as a function of temperature in diverse magnetic systems such as arrays of magnetic nanoparticles and magnetic molecules we assume that the magnetization of the spin system relaxes through consecutive emission or absorption of a single phonon from a weak linear spinphonon coupling hamiltonian we derive transition rates that would be used to examine dynamic properties of the system in kinetic monte carlo simulations although the derived phononassisted transition rates satisfy detailed balance in the case of two and three dimensional phonon baths transitions between degenerate states are not allowed thus if there are no alternative paths along which the spin system can relax the relaxation time diverges otherwise the system finds other paths which leads to an increase in the relaxation time and energy barrier however when higherorder phonon processes are included in the transition rates it is found that the system can reach the states which were inaccessible due to the forbidden transitions as a result the system recovers some of the dynamic properties obtained using the glauber transition rate | [['we', 'investigate', 'transition', 'rates', 'between', 'different', 'spin', 'configurations', 'for', 's', 'ge', '1', 'spins', 'weakly', 'coupled', 'to', 'a', 'ddimensional', 'phonon', 'bath', 'this', 'study', 'is', 'motivated', 'by', 'understanding', 'observed', 'magnetization', 'relaxation', 'as', 'a', 'function', 'of', 'temperature', 'in', 'diverse', 'magnetic', 'systems', 'such', 'as', 'arrays', 'of', 'magnetic', 'nanoparticles', 'and', 'magnetic', 'molecules', 'we', 'assume', 'that', 'the', 'magnetization', 'of', 'the', 'spin', 'system', 'relaxes', 'through', 'consecutive', 'emission', 'or', 'absorption', 'of', 'a', 'single', 'phonon', 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'can', 'reach', 'the', 'states', 'which', 'were', 'inaccessible', 'due', 'to', 'the', 'forbidden', 'transitions', 'as', 'a', 'result', 'the', 'system', 'recovers', 'some', 'of', 'the', 'dynamic', 'properties', 'obtained', 'using', 'the', 'glauber', 'transition', 'rate']] | [-0.16602299131675444, 0.21680846654490593, -0.03702205637428187, 0.052642946618618396, -0.012669468993571267, -0.14848045064414392, 0.061214994146275466, 0.38353155367539743, -0.2816552132430639, -0.27284230412776345, 0.047404282292541094, -0.29035436154218086, -0.07908143953707496, 0.18641322440426075, 0.07435373289844216, 0.015752617912355403, 0.03754066915566389, 0.0022876684933863765, -0.06830779497224411, -0.1612054122338507, 0.2748527244562793, 0.027449258571011083, 0.2666406076660945, 0.056204818527385667, 0.06989685876471041, 0.010597196570945098, 0.09365929392356406, 0.019765701084698908, -0.15823051227955004, 0.020402967902618595, 0.2369845994917296, 0.02532902149604031, 0.21244205761265325, 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709.1238 | Corrections to the fine structure constant in higher dimensional global
monopole spacetime | In this paper we use the Generalized Uncertainty Principle in order to obtain
the corrections to the fine structure constant in (D+1)-dimensional global
monopole spacetime. The result is particularized to D-dimensional spacetime. We
also discuss the particular case D=3 corresponding to the (3+1)-dimensional
global monopole spacetime.
| gr-qc hep-th | in this paper we use the generalized uncertainty principle in order to obtain the corrections to the fine structure constant in d1dimensional global monopole spacetime the result is particularized to ddimensional spacetime we also discuss the particular case d3 corresponding to the 31dimensional global monopole spacetime | [['in', 'this', 'paper', 'we', 'use', 'the', 'generalized', 'uncertainty', 'principle', 'in', 'order', 'to', 'obtain', 'the', 'corrections', 'to', 'the', 'fine', 'structure', 'constant', 'in', 'd1dimensional', 'global', 'monopole', 'spacetime', 'the', 'result', 'is', 'particularized', 'to', 'ddimensional', 'spacetime', 'we', 'also', 'discuss', 'the', 'particular', 'case', 'd3', 'corresponding', 'to', 'the', '31dimensional', 'global', 'monopole', 'spacetime']] | [-0.1110986966194342, 0.06435043314907132, -0.05008881482417169, 0.132190250751117, -0.10248104888824341, -0.060805700415664396, -0.04206046771571931, 0.3087775896546309, -0.2246330090717453, -0.24827112273677535, 0.07629920156804197, -0.22572418261805308, -0.16218319381384746, 0.05680773633977641, -0.10239859714942134, 0.03395701122834631, -0.05513338037037655, 0.09539780080439927, -0.1335610540624222, -0.25220582530449104, 0.4086317681585965, 0.09508861630456522, 0.30377316203616234, 0.038586149883011116, 0.08722335964684254, -0.004648986879898154, 0.002375919857750768, 0.08423090259463567, -0.2327806415927151, 0.1090871192028989, 0.18997928345292484, 0.026663282319255497, 0.1289845009425493, -0.40591167435859854, -0.21384845342001188, 0.15618468419162798, 0.14055225277400535, 0.22612610358096982, 0.03215920983854195, -0.29065612537037255, 0.09572056575637797, -0.1665889949173383, -0.24238981488768174, -0.09851952674596207, -0.0019830321974080543, -0.1111391213439081, -0.2659980490887234, 0.08431508494781471, 0.08708060901288105, -0.04846811203448021, -0.09056481864789258, -0.015244763324280148, -0.025855784425916878, 0.10846634931057571, 0.09327890049240997, 0.06454716074158964, 0.07118587910562106, -0.06324530060342311, -0.12071273682396048, 0.4046926300810731, -0.10462933609960601, -0.2976902728171452, 0.10544223461867026, -0.21534442466319256, -0.1588566266303963, 0.06010241857628622, 0.1903833177588556, 0.15086816417296295, -0.1254369386120031, 0.1911664805577501, -0.036515616103196924, 0.14515427805726294, 0.11802790139842292, 0.056496957377733095, 0.1548606624583835, 0.08857936888386536, 0.09354503099482668, 0.18812137773341459, -0.07682679741613, -0.1443951895521225, -0.411086603027323, -0.15188369203520857, -0.14234813365518398, 0.09908477409297357, -0.1903388293804196, -0.15504718413981405, 0.31870321473916585, 0.15439886111847084, 0.13573398421178115, 0.015788613393416872, 0.248795702567567, 0.11886329894237545, -0.004946066749930058, 0.10186471080447992, 0.2682148928794524, 0.13311541799212928, 0.15373715236985488, -0.22031108424593898, -0.14774104915609906, 0.18884895828997958] |
709.1239 | Bridging over p-wave pi-production and weak processes in few-nucleon
systems with chiral perturbation theory | I study an aspect of chiral perturbation theory (\chi PT) which enables one
to ``bridge'' different reactions. That is, an operator fixed in one of the
reactions can then be used to predict the other. For this purpose, I calculate
the partial wave amplitude for the p-wave pion production (pp\to pn\pi^+) using
the pion production operator from the lowest and the next nonvanishing orders.
The operator includes a contact operator whose coupling has been fixed using a
matrix element of a low-energy weak process (pp\to de^+\nu_e). I find that this
operator does not reproduce the partial wave amplitude extracted from
experimental data, showing that the bridging over the reactions with
significantly different kinematics is not necessarily successful. I study the
dependence of the amplitude on the various inputs such as the NN potential, the
\pi N\Delta coupling, and the cutoff. I argue the importance of a higher order
calculation. In order to gain an insight into a higher order calculation, I add
a higher order counter term to the operator used above, and fit the couplings
to both the low-energy weak process and the pion production. The energy
dependence of the partial wave amplitude for the pion production is described
by the operator consistently with the data. However, I find a result which
tells us to be careful about the convergence of the chiral expansion for the
pp\to pn\pi^+ reaction.
| nucl-th | i study an aspect of chiral perturbation theory chi pt which enables one to bridge different reactions that is an operator fixed in one of the reactions can then be used to predict the other for this purpose i calculate the partial wave amplitude for the pwave pion production ppto pnpi using the pion production operator from the lowest and the next nonvanishing orders the operator includes a contact operator whose coupling has been fixed using a matrix element of a lowenergy weak process ppto denu_e i find that this operator does not reproduce the partial wave amplitude extracted from experimental data showing that the bridging over the reactions with significantly different kinematics is not necessarily successful i study the dependence of the amplitude on the various inputs such as the nn potential the pi ndelta coupling and the cutoff i argue the importance of a higher order calculation in order to gain an insight into a higher order calculation i add a higher order counter term to the operator used above and fit the couplings to both the lowenergy weak process and the pion production the energy dependence of the partial wave amplitude for the pion production is described by the operator consistently with the data however i find a result which tells us to be careful about the convergence of the chiral expansion for the ppto pnpi reaction | [['i', 'study', 'an', 'aspect', 'of', 'chiral', 'perturbation', 'theory', 'chi', 'pt', 'which', 'enables', 'one', 'to', 'bridge', 'different', 'reactions', 'that', 'is', 'an', 'operator', 'fixed', 'in', 'one', 'of', 'the', 'reactions', 'can', 'then', 'be', 'used', 'to', 'predict', 'the', 'other', 'for', 'this', 'purpose', 'i', 'calculate', 'the', 'partial', 'wave', 'amplitude', 'for', 'the', 'pwave', 'pion', 'production', 'ppto', 'pnpi', 'using', 'the', 'pion', 'production', 'operator', 'from', 'the', 'lowest', 'and', 'the', 'next', 'nonvanishing', 'orders', 'the', 'operator', 'includes', 'a', 'contact', 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709.124 | Generalized Second Law and phantom Cosmology: accreting black holes | The accretion of phantom fields by black holes within a thermodynamic context
is addressed. For a fluid violating the dominant energy condition, case of a
phantom fluid, the Euler and Gibbs relations permit two different possibilities
for the entropy and temperature: a situation in which the entropy is negative
and the temperature is positive or vice-versa. In the former case, if the
generalized second law (GSL) is valid, then the accretion process is not
allowed whereas in the latter, there is a critical black hole mass below which
the accretion process occurs. In a universe dominated by a phantom field, the
critical mass drops quite rapidly with the cosmic expansion and black holes are
only slightly affected by accretion. All black holes disappear near the big
rip, as suggested by previous investigations, if the GSL is violated.
| gr-qc astro-ph | the accretion of phantom fields by black holes within a thermodynamic context is addressed for a fluid violating the dominant energy condition case of a phantom fluid the euler and gibbs relations permit two different possibilities for the entropy and temperature a situation in which the entropy is negative and the temperature is positive or viceversa in the former case if the generalized second law gsl is valid then the accretion process is not allowed whereas in the latter there is a critical black hole mass below which the accretion process occurs in a universe dominated by a phantom field the critical mass drops quite rapidly with the cosmic expansion and black holes are only slightly affected by accretion all black holes disappear near the big rip as suggested by previous investigations if the gsl is violated | [['the', 'accretion', 'of', 'phantom', 'fields', 'by', 'black', 'holes', 'within', 'a', 'thermodynamic', 'context', 'is', 'addressed', 'for', 'a', 'fluid', 'violating', 'the', 'dominant', 'energy', 'condition', 'case', 'of', 'a', 'phantom', 'fluid', 'the', 'euler', 'and', 'gibbs', 'relations', 'permit', 'two', 'different', 'possibilities', 'for', 'the', 'entropy', 'and', 'temperature', 'a', 'situation', 'in', 'which', 'the', 'entropy', 'is', 'negative', 'and', 'the', 'temperature', 'is', 'positive', 'or', 'viceversa', 'in', 'the', 'former', 'case', 'if', 'the', 'generalized', 'second', 'law', 'gsl', 'is', 'valid', 'then', 'the', 'accretion', 'process', 'is', 'not', 'allowed', 'whereas', 'in', 'the', 'latter', 'there', 'is', 'a', 'critical', 'black', 'hole', 'mass', 'below', 'which', 'the', 'accretion', 'process', 'occurs', 'in', 'a', 'universe', 'dominated', 'by', 'a', 'phantom', 'field', 'the', 'critical', 'mass', 'drops', 'quite', 'rapidly', 'with', 'the', 'cosmic', 'expansion', 'and', 'black', 'holes', 'are', 'only', 'slightly', 'affected', 'by', 'accretion', 'all', 'black', 'holes', 'disappear', 'near', 'the', 'big', 'rip', 'as', 'suggested', 'by', 'previous', 'investigations', 'if', 'the', 'gsl', 'is', 'violated']] | [-0.13317119726149815, 0.2061466019274327, -0.0631169257447613, 0.13488834460761867, -0.047867876079858, -0.18295126289034086, 0.02655680444988891, 0.2569408166038729, -0.1975252976841599, -0.272007056131252, 0.1163503785794397, -0.2889588328714, -0.03288848606876376, 0.19258438459815064, -0.027175808252331658, 0.011193946068494642, -0.016519408353543194, 0.055246173669278184, -0.05582858804259857, -0.2382794285981651, 0.39677259621013256, 0.09174765512622539, 0.24541570218687836, 0.04681338503426553, 0.060528752965050454, -0.05318058299301804, 0.03901760910304576, 0.0903577991237823, -0.19475557161669288, -0.034161336711253314, 0.20479237961915941, 0.11234838060055771, 0.25085541001609424, -0.3781860632019757, -0.24484566856264034, 0.12831636792878165, 0.16357764891980991, 0.10176440029758552, -0.10341035094397673, -0.21795808267949598, 0.05913932070163262, -0.2090696954528672, -0.12179220677183493, 0.0008238602606375722, 0.036029318511574426, -0.05636626038781918, -0.2313948582116868, 0.19538230290228542, 0.11713564331238804, -0.055610931009380485, -0.11388218122955929, -0.011995294032767959, -0.06665425270415136, 0.056649600561830576, 0.13646924965054708, 0.01894743403973887, 0.20250383248199186, -0.15356158219060323, -0.02982997307621867, 0.3786190828974665, -0.04024144344330922, -0.152684748444679, 0.14978098963815584, -0.2494235394427376, -0.10697339727699648, 0.14226098647715021, 0.06051657766181921, 0.16361703428408567, -0.1287667712699758, 0.13101403966348918, 0.037416613545187195, 0.1639202717949983, 0.11635771585308885, -0.06114083885072465, 0.36087740594257744, 0.11897148480332953, 0.01485484092068063, 0.12939719560923205, -0.04637803125066044, -0.10933912633136458, -0.308722110451573, -0.17153956798877376, -0.19512981180540104, 0.08283794369987453, -0.14872613007731286, -0.15598794100058339, 0.29055569743751175, 0.06708440305767105, 0.1939086763691293, 0.01216408349641592, 0.2839113553538721, 0.12272557024725027, 0.03376087858715523, 0.12834186840931594, 0.32214025239099875, 0.1161909313756891, 0.19221104232145705, -0.20200406896637882, 0.05268313230294054, 0.06411373641097197] |
709.1241 | Homotopically non-trivial maps with small k-dilation | We construct homotopically non-trivial maps from S^m to S^n with arbitrarily
small 3-dilation for certain pairs (m,n). The simplest example is m=4, n=3.
Other examples include arbitrarily large values of m and n. We show that a
homotopy class in pi_7(S^4) can be represented by maps with arbitrarily small
4-dilation if and only if the class is torsion.
| math.DG | we construct homotopically nontrivial maps from sm to sn with arbitrarily small 3dilation for certain pairs mn the simplest example is m4 n3 other examples include arbitrarily large values of m and n we show that a homotopy class in pi_7s4 can be represented by maps with arbitrarily small 4dilation if and only if the class is torsion | [['we', 'construct', 'homotopically', 'nontrivial', 'maps', 'from', 'sm', 'to', 'sn', 'with', 'arbitrarily', 'small', '3dilation', 'for', 'certain', 'pairs', 'mn', 'the', 'simplest', 'example', 'is', 'm4', 'n3', 'other', 'examples', 'include', 'arbitrarily', 'large', 'values', 'of', 'm', 'and', 'n', 'we', 'show', 'that', 'a', 'homotopy', 'class', 'in', 'pi_7s4', 'can', 'be', 'represented', 'by', 'maps', 'with', 'arbitrarily', 'small', '4dilation', 'if', 'and', 'only', 'if', 'the', 'class', 'is', 'torsion']] | [-0.14672874283384194, 0.19624605209312657, 0.03421601029959592, 0.09312851251610978, -0.04829030326482925, -0.2539234786463732, -0.023013710162856364, 0.3861399095166813, -0.27094269198450177, -0.31745620244605977, 0.07693317295263775, -0.29406250864267347, -0.15954153975048527, 0.19825702597048472, -0.079660123759161, -0.05661327496186872, 0.08792527758262374, 0.09166030910882082, -0.05175443431785838, -0.2948582293592732, 0.3595101368359544, -0.07798765479502352, 0.1356261140527336, -0.004570882742039182, 0.10206502476834099, -0.05904743591831489, 0.05448892438699576, 0.0944631607525728, -0.1148959353107123, 0.10421807423911311, 0.2893943282690915, 0.062249058438464996, 0.18664131570946085, -0.34173038385131144, -0.16156982190229677, 0.209550924514505, 0.10633706158365716, 0.12280018744058907, -0.04064066415991296, -0.2585305668752302, 0.20135707419196314, -0.15412143905731765, -0.14507002179426226, -0.10973209052939306, 0.05413032394241203, 0.03923015906898813, -0.28924272010018204, -0.05296487850137055, 0.06445134911178188, 0.037815390391783284, -0.022514459524642337, -0.06796320199077441, -0.0810806006193161, 0.11642241724343462, 0.0558128017000854, 0.02329644483768127, 0.03830973910675808, -0.06894601289902559, -0.024527475974437864, 0.3755299925804138, -0.1318210004405542, -0.2527673804963177, 0.17017795647790826, -0.20835155180909418, -0.1792513478100194, 0.15024800408970226, 0.06256759921935472, 0.14294848418371245, -0.04055917293510654, 0.2107238142983988, -0.10251273743130944, 0.1785253705964847, 0.08353664986789226, 0.02049671114337715, 0.18580904679203575, 0.04840361074629155, 0.10536436258222569, 0.14891277676850387, -0.0704632755368948, -0.0287212629548528, -0.35333552929488093, -0.13026917576789857, -0.19041586472568187, 0.16874955218623985, -0.14720018340899102, -0.16254039674320003, 0.2885452095757831, 0.025064241183413702, 0.2734533104960891, 0.1023198386315595, 0.20036988989873367, 0.038369315456260336, 0.0656132204034789, 0.10135910328138958, 0.15795718610964038, 0.10674601582048292, -0.03153335252268748, -0.09966147000562739, 0.017211748295548286, 0.13874537253075026] |
709.1242 | Noise from metallic surfaces -- effects of charge diffusion | Non-local electrodynamic models are developed for describing metallic
surfaces for a diffusive metal. The electric field noise at a distance z_0 from
the surface is evaluated and compared with data from ion chips that show
anomalous heating with a noise power decaying as z_0^{-4}. We find that high
surface diffusion can account for the latter result.
| quant-ph | nonlocal electrodynamic models are developed for describing metallic surfaces for a diffusive metal the electric field noise at a distance z_0 from the surface is evaluated and compared with data from ion chips that show anomalous heating with a noise power decaying as z_04 we find that high surface diffusion can account for the latter result | [['nonlocal', 'electrodynamic', 'models', 'are', 'developed', 'for', 'describing', 'metallic', 'surfaces', 'for', 'a', 'diffusive', 'metal', 'the', 'electric', 'field', 'noise', 'at', 'a', 'distance', 'z_0', 'from', 'the', 'surface', 'is', 'evaluated', 'and', 'compared', 'with', 'data', 'from', 'ion', 'chips', 'that', 'show', 'anomalous', 'heating', 'with', 'a', 'noise', 'power', 'decaying', 'as', 'z_04', 'we', 'find', 'that', 'high', 'surface', 'diffusion', 'can', 'account', 'for', 'the', 'latter', 'result']] | [-0.08051336005499417, 0.16473734607412058, -0.06283154051581567, 0.07834195305635645, 0.01045073106969622, -0.2167406783947213, -0.022047020139342004, 0.3674155941571702, -0.23689315258101984, -0.3059181253341111, 0.03360712866044857, -0.3375270690091632, -0.11142581220377576, 0.2595110078426925, -0.0045393566346981305, 0.0074407274280516005, 0.0278047528964552, -0.00785444633696567, -0.0435550857081332, -0.13676811043511738, 0.30667579092762687, 0.032922296395356, 0.27342451265589757, 0.05698696735569022, 0.09642955964134836, -0.0653106733225286, 0.020423555611209437, 0.08228058635511182, -0.09889795048802626, 0.047280329000204804, 0.19246112714734573, -0.051204221086068584, 0.2013146172954955, -0.47408036633648654, -0.29096071359447456, 0.04530538319694725, 0.10734552679244767, 0.15455022044479846, -0.11593515984714031, -0.25776114555245094, 0.04367322246120735, -0.13391236254776065, -0.11732155914333733, -0.061200419237667864, 0.041527836852368306, 0.05781368027356538, -0.3271367995830422, 0.09087054428051819, 0.05983074591495097, 0.049132076411148196, -0.07655921079303053, -0.1367368874309415, -0.06527262584052303, 0.08482619269158352, 0.05593027897941118, 0.042540667705576525, 0.1955142065332356, -0.14231353090568022, -0.07487166478213939, 0.34585617211731995, -0.14796217260035602, -0.17098613740368324, 0.18661347150125288, -0.1824777213856578, -0.02891914506696842, 0.20270428935235196, 0.191259233052419, 0.050896344604817303, -0.18486349171196872, 0.09053845368219879, 0.03771544021808288, 0.12976836753428375, 0.04366702285849235, 0.028020149181512268, 0.2177087601782246, 0.20418023022569037, 0.028137462874027817, 0.11497284866133917, -0.15086539922790093, 0.0015538250434805046, -0.3021708012812517, -0.168622560324994, -0.20244429304518483, 0.07369850049303336, -0.06936651303152427, -0.17825621989640322, 0.32653272643008013, 0.14048412888395514, 0.1829314231703227, 0.045509972728111525, 0.3133720779368146, 0.15381015882700344, 0.05662076910111037, 0.11133257977833802, 0.22482591620223089, 0.1387820224870335, 0.08975520879876885, -0.2529425963844088, 0.061771464396522126, 0.007758911969986829] |
709.1243 | The existence of two closed geodesics on every Finsler 2-sphere | In this paper, we prove that for every Finsler metric on the 2-dimensional
sphere there exist at least two distinct prime closed geodesics. For the case
of the two-sphere, this solves an open problem posed by D. V. Anosov in 1974.
| math.SG math.DS | in this paper we prove that for every finsler metric on the 2dimensional sphere there exist at least two distinct prime closed geodesics for the case of the twosphere this solves an open problem posed by d v anosov in 1974 | [['in', 'this', 'paper', 'we', 'prove', 'that', 'for', 'every', 'finsler', 'metric', 'on', 'the', '2dimensional', 'sphere', 'there', 'exist', 'at', 'least', 'two', 'distinct', 'prime', 'closed', 'geodesics', 'for', 'the', 'case', 'of', 'the', 'twosphere', 'this', 'solves', 'an', 'open', 'problem', 'posed', 'by', 'd', 'v', 'anosov', 'in', '1974']] | [-0.2372205517277485, 0.08541292482284295, -0.014028779969255372, 0.04628419188396415, -0.034158347469822666, -0.20571485125437017, -0.03503424144724793, 0.3369054333193273, -0.27798414843656666, -0.1987535330444211, 0.06161693911204433, -0.32192039339825873, -0.16969599741760913, 0.21488781818529454, -0.14691048354001307, 0.02577477703211693, 0.07939054877724408, 0.0959630384814085, -0.030934712809805826, -0.30970822756246824, 0.4390085338637596, -0.10059134407741267, 0.14386961221831238, 0.11630583359155713, 0.17798709065267226, 0.024367174894617098, 0.032553201972893096, 0.0861301619627672, -0.2252948875434302, 0.0790128242082485, 0.2866184135058486, 0.13792953736194205, 0.26756648178689363, -0.3688932417447554, -0.21318519951366796, 0.18048293890840397, 0.16069700096438572, -0.04066616330840966, -0.06216535348978984, -0.23348944097552904, 0.10139436279309959, -0.04117683598362818, -0.18815195872789112, 0.03413709641502398, 0.14042200693270054, -0.10142143611319182, -0.17075191658535382, 0.017038426838996933, 0.17506535798765538, 0.11376280116666926, -0.10921844971797816, -0.08396334966599214, 0.038941346869872114, 0.1012222316661259, 0.050448379774646064, 0.1411790977822753, -0.023160694690886885, 0.009737241524839547, -0.13552040373906493, 0.3611150373045991, -0.07443528981288759, -0.292164992450214, 0.10885355907787637, -0.13110250486174552, -0.20279625594252493, 0.08604199184309237, 0.15540963299458893, 0.17522766531967535, -0.09438724704541085, 0.2275893313401356, -0.18954164814203978, 0.05933647542317375, 0.17548618776860034, -0.10406877008471184, 0.16754297391943088, 0.0926721367712428, 0.16952307520025386, 0.1179643509591498, 0.0084719132552514, -0.012990174224463904, -0.3499219266260497, -0.201579964015542, -0.15845515753892137, 0.15281828149880577, -0.07281798624047418, -0.18553356446961805, 0.36176884399227255, 0.050499121181485127, 0.16091488056430003, 0.0858462881524025, 0.2269796588253684, 0.052869744439859215, -0.049587100317095484, 0.2416842765651825, 0.18062569555349467, 0.10991862378219461, 0.011114073928627299, -0.1385207862760758, -0.0832196161855103, 0.16469527453911015] |
709.1244 | Scaling of Anisotropic Flows and Nuclear Equation of State in
Intermediate Energy Heavy Ion Collisions | Elliptic flow ($v_2$) and hexadecupole flow ($v_4$) of light clusters have
been studied in details for 25 MeV/nucleon $^{86}$Kr + $^{124}$Sn at large
impact parameters by Quantum Molecular Dynamics model with different potential
parameters. Four parameter sets which include soft or hard equation of state
(EOS) with/without symmetry energy term are used. Both number-of-nucleon ($A$)
scaling of the elliptic flow versus transverse momentum ($p_t$) and the scaling
of $v_4/A^{2}$ versus $(p_t/A)^2$ have been demonstrated for the light clusters
in all above calculation conditions. It was also found that the ratio of
$v_4/{v_2}^2$ keeps a constant of 1/2 which is independent of $p_t$ for all the
light fragments. By comparisons among different combinations of EOS and
symmetry potential term, the results show that the above scaling behaviors are
solid which do not depend the details of potential, while the strength of flows
is sensitive to EOS and symmetry potential term.
| nucl-th | elliptic flow v_2 and hexadecupole flow v_4 of light clusters have been studied in details for 25 mevnucleon 86kr 124sn at large impact parameters by quantum molecular dynamics model with different potential parameters four parameter sets which include soft or hard equation of state eos withwithout symmetry energy term are used both numberofnucleon a scaling of the elliptic flow versus transverse momentum p_t and the scaling of v_4a2 versus p_ta2 have been demonstrated for the light clusters in all above calculation conditions it was also found that the ratio of v_4v_22 keeps a constant of 12 which is independent of p_t for all the light fragments by comparisons among different combinations of eos and symmetry potential term the results show that the above scaling behaviors are solid which do not depend the details of potential while the strength of flows is sensitive to eos and symmetry potential term | [['elliptic', 'flow', 'v_2', 'and', 'hexadecupole', 'flow', 'v_4', 'of', 'light', 'clusters', 'have', 'been', 'studied', 'in', 'details', 'for', '25', 'mevnucleon', '86kr', '124sn', 'at', 'large', 'impact', 'parameters', 'by', 'quantum', 'molecular', 'dynamics', 'model', 'with', 'different', 'potential', 'parameters', 'four', 'parameter', 'sets', 'which', 'include', 'soft', 'or', 'hard', 'equation', 'of', 'state', 'eos', 'withwithout', 'symmetry', 'energy', 'term', 'are', 'used', 'both', 'numberofnucleon', 'a', 'scaling', 'of', 'the', 'elliptic', 'flow', 'versus', 'transverse', 'momentum', 'p_t', 'and', 'the', 'scaling', 'of', 'v_4a2', 'versus', 'p_ta2', 'have', 'been', 'demonstrated', 'for', 'the', 'light', 'clusters', 'in', 'all', 'above', 'calculation', 'conditions', 'it', 'was', 'also', 'found', 'that', 'the', 'ratio', 'of', 'v_4v_22', 'keeps', 'a', 'constant', 'of', '12', 'which', 'is', 'independent', 'of', 'p_t', 'for', 'all', 'the', 'light', 'fragments', 'by', 'comparisons', 'among', 'different', 'combinations', 'of', 'eos', 'and', 'symmetry', 'potential', 'term', 'the', 'results', 'show', 'that', 'the', 'above', 'scaling', 'behaviors', 'are', 'solid', 'which', 'do', 'not', 'depend', 'the', 'details', 'of', 'potential', 'while', 'the', 'strength', 'of', 'flows', 'is', 'sensitive', 'to', 'eos', 'and', 'symmetry', 'potential', 'term']] | [-0.11045912224638822, 0.21030729518689473, -0.11153582176514741, 0.05835839935642635, -0.03974338687859989, -0.1377560602717808, -0.024137737415730953, 0.3574810900051018, -0.22124413711757496, -0.34939877047717316, 0.05013548966721985, -0.31752713600751653, -0.027077005590023153, 0.19267725801047195, 0.05702220279209573, 0.105821445035138, 0.042510784439871024, 0.021374174111105246, -0.05409067952041996, -0.2154299321777091, 0.32740837021506036, 0.0288576786590997, 0.26614089189418433, 0.13084225520041995, 0.0865659939510555, -0.011223501842147831, 0.007250646468059256, 0.028290504364874857, -0.15705900228600386, 0.013796293717038272, 0.19326626266401004, 0.011785134803533858, 0.16402027012041673, -0.3588547282049368, -0.24248070733557486, 0.10523357268358613, 0.13819488258711224, 0.07618819159086279, -0.049701487661564146, -0.20207923898023777, 0.06577090364399141, -0.19758054189191296, -0.14786274709000155, -0.10906584313749497, 0.05909385450770436, 0.09300294909860832, -0.24174436118839115, 0.13795170724082834, 0.018648231217380743, 0.048570775112201425, -0.07882399814010695, -0.19157713445802702, -0.07900424906221251, 0.08724722498867275, 0.10111748584754894, 0.03734256310452675, 0.13742991471261684, -0.17488192924908522, -0.0478763312486739, 0.40226855389773847, -0.0002724177444931762, -0.18932133228357495, 0.1492489910074349, -0.13636908615971433, -0.12125547166977976, 0.15026783844072708, 0.1769508078999432, 0.09788531175782454, -0.15558266469502244, 0.0775597218151108, 0.0039113303421643274, 0.2089670702879285, 0.07163128176511362, 0.02683836187974646, 0.15429289339688318, 0.11937782288496865, 0.00964084534408075, 0.08967406403851406, -0.08257706358964587, -0.1331036050450699, -0.30779482298691213, -0.0786403615862645, -0.11468502726357688, 0.007662766927889355, -0.12974562051119926, -0.10938903380843715, 0.3914501694512778, 0.07543773296578177, 0.2244686565137115, -0.012040288947474468, 0.26284543939320176, 0.10261489358441583, 0.0756876579341318, 0.09820665103094331, 0.29983083272417044, 0.13298474736832852, 0.12890922397792595, -0.26051499564521785, 0.06096523468671688, 0.038849605215263774] |
709.1245 | Comparison of elastic electron or positron scattering from proton-rich
nuclei | We investigate the cross sections of the elastic electron or positron
scattering from $^{208}$Pb, $^{12}$C, $^{12,16}$O and $^{28, 32}$S by the
relativistic partial-wave expansion method using the static charge density
distribution from the self-consistent relativistic mean field model and also
calculate the charge form factor for $^{12, 16}$O and $^{28, 32}$S. The
numerical results are compared with the available data. Calculations indicate
that the extended charge density distributions of $^{12}$O and $^{28}$S have
observable effects on the cross sections of the electron or positron scattering
as well as the charge form factors.
| nucl-th | we investigate the cross sections of the elastic electron or positron scattering from 208pb 12c 1216o and 28 32s by the relativistic partialwave expansion method using the static charge density distribution from the selfconsistent relativistic mean field model and also calculate the charge form factor for 12 16o and 28 32s the numerical results are compared with the available data calculations indicate that the extended charge density distributions of 12o and 28s have observable effects on the cross sections of the electron or positron scattering as well as the charge form factors | [['we', 'investigate', 'the', 'cross', 'sections', 'of', 'the', 'elastic', 'electron', 'or', 'positron', 'scattering', 'from', '208pb', '12c', '1216o', 'and', '28', '32s', 'by', 'the', 'relativistic', 'partialwave', 'expansion', 'method', 'using', 'the', 'static', 'charge', 'density', 'distribution', 'from', 'the', 'selfconsistent', 'relativistic', 'mean', 'field', 'model', 'and', 'also', 'calculate', 'the', 'charge', 'form', 'factor', 'for', '12', '16o', 'and', '28', '32s', 'the', 'numerical', 'results', 'are', 'compared', 'with', 'the', 'available', 'data', 'calculations', 'indicate', 'that', 'the', 'extended', 'charge', 'density', 'distributions', 'of', '12o', 'and', '28s', 'have', 'observable', 'effects', 'on', 'the', 'cross', 'sections', 'of', 'the', 'electron', 'or', 'positron', 'scattering', 'as', 'well', 'as', 'the', 'charge', 'form', 'factors']] | [0.0012186298405544626, 0.16870824764482678, -0.072276649168796, 0.130069568215145, 0.0737297425719185, -0.047169532518212993, 0.017051372449431154, 0.34462570481830174, -0.17040513943259913, -0.31462774013386174, -0.03675110275960631, -0.37319890146868095, -0.017389729391369554, 0.14700577488789957, 0.15408681761473417, 0.0845570087329381, 0.03864966940341724, 0.028634175523701642, -0.09970882361909995, -0.13819089258710543, 0.3398305005161092, 0.11644721003766689, 0.26495194389588306, 0.1466900860877811, 0.044315671239099984, 0.0786471651867032, -0.04481718458442224, -0.006149431887186236, -0.12710425290578214, 0.07514299055587294, 0.22753151959687884, 0.033791287279584345, 0.10715749278250668, -0.4781789495713181, -0.17247045532696778, 0.023928079454021322, 0.13815543882083148, 0.1411664380174544, -0.08474390721595329, -0.2895415965260731, 0.013017467471460502, -0.26440534621684086, -0.1543174767918471, -0.10103751266789106, 0.016307509562466294, 0.1026955315636264, -0.2757710725896888, 0.13633618147545754, -0.04216152493091714, 0.011000234501019198, -0.1802003134197245, -0.24493798987629514, -0.051181692353242804, 0.020180200935444897, 0.09086465498096206, 0.04066659870247046, 0.22479926414477328, -0.09903771799678604, -0.10660542451466123, 0.38291194919082855, -0.04472011029720306, -0.1603844471482767, 0.06923711284374197, -0.21805840880196128, -0.05159614098568757, 0.2270152885854865, 0.17567688590950437, 0.11628219725874563, -0.1565679558604542, 0.08433370881248266, -0.0349814752000384, 0.1563927349427508, 0.09704183970784976, 0.029362973198294638, 0.15066688427598113, 0.1463099382714265, -0.055739517336607806, 0.00396178401230524, -0.2353836740548205, -0.051887885941606426, -0.3129825070914295, -0.11087155380777808, -0.11640286409528926, 0.07959348752370311, -0.06682348470138903, -0.11665794655370215, 0.3285754599763701, 0.06361813845578582, 0.22022424675524235, -0.023792453249916433, 0.31452683123966885, 0.14594762524745117, 0.06597599934579598, 0.09140095189731154, 0.2866406145609087, 0.22449882472606583, 0.057542155429513915, -0.2731564523600456, 0.04295487173625993, 0.004474664526060224] |
709.1246 | Andreev Reflection in Heavy-Fermion Superconductors and Order Parameter
Symmetry in CeCoIn_5 | Differential conductance spectra are obtained from nanoscale junctions on the
heavy-fermion superconductor CeCoIn$_5$ along three major crystallographic
orientations. Consistency and reproducibility of characteristic features among
the junctions ensure their spectroscopic nature. All junctions show a similar
conductance asymmetry and Andreev reflection-like conductance with reduced
signal (~ 10%-13%), both commonly observed in heavy-fermion superconductor
junctions. Analysis using the extended Blonder-Tinkham-Klapwijk model indicates
that our data provide the first spectroscopic evidence for $d_{x^2-y^2}$
symmetry. To quantify our conductance spectra, we propose a model by
considering the general phenomenology in heavy fermions, the two-fluid
behavior, and an energy-dependent density of states. Our model fits to the
experimental data remarkably well and should invigorate further investigations.
| cond-mat.supr-con cond-mat.str-el | differential conductance spectra are obtained from nanoscale junctions on the heavyfermion superconductor cecoin_5 along three major crystallographic orientations consistency and reproducibility of characteristic features among the junctions ensure their spectroscopic nature all junctions show a similar conductance asymmetry and andreev reflectionlike conductance with reduced signal 1013 both commonly observed in heavyfermion superconductor junctions analysis using the extended blondertinkhamklapwijk model indicates that our data provide the first spectroscopic evidence for d_x2y2 symmetry to quantify our conductance spectra we propose a model by considering the general phenomenology in heavy fermions the twofluid behavior and an energydependent density of states our model fits to the experimental data remarkably well and should invigorate further investigations | [['differential', 'conductance', 'spectra', 'are', 'obtained', 'from', 'nanoscale', 'junctions', 'on', 'the', 'heavyfermion', 'superconductor', 'cecoin_5', 'along', 'three', 'major', 'crystallographic', 'orientations', 'consistency', 'and', 'reproducibility', 'of', 'characteristic', 'features', 'among', 'the', 'junctions', 'ensure', 'their', 'spectroscopic', 'nature', 'all', 'junctions', 'show', 'a', 'similar', 'conductance', 'asymmetry', 'and', 'andreev', 'reflectionlike', 'conductance', 'with', 'reduced', 'signal', '1013', 'both', 'commonly', 'observed', 'in', 'heavyfermion', 'superconductor', 'junctions', 'analysis', 'using', 'the', 'extended', 'blondertinkhamklapwijk', 'model', 'indicates', 'that', 'our', 'data', 'provide', 'the', 'first', 'spectroscopic', 'evidence', 'for', 'd_x2y2', 'symmetry', 'to', 'quantify', 'our', 'conductance', 'spectra', 'we', 'propose', 'a', 'model', 'by', 'considering', 'the', 'general', 'phenomenology', 'in', 'heavy', 'fermions', 'the', 'twofluid', 'behavior', 'and', 'an', 'energydependent', 'density', 'of', 'states', 'our', 'model', 'fits', 'to', 'the', 'experimental', 'data', 'remarkably', 'well', 'and', 'should', 'invigorate', 'further', 'investigations']] | [-0.18145899816246872, 0.09149813722006829, -0.0905920247377997, 0.06528081856667996, -0.05186419283378531, -0.18190986059013414, 0.06411568642678586, 0.3568172899498181, -0.20919756818224083, -0.3302130440758033, -0.059409990650601686, -0.3627877122510902, -0.10879319698803804, 0.1904319212115793, 0.04730613815852187, 0.05490378888154572, 0.03165677840059454, -0.07382845703528305, -0.0648861713855612, -0.1936202873391184, 0.2760954811153087, 0.006358198075957427, 0.3661557217890566, 0.057196606845933605, -0.03001811409326778, -0.02368234658021141, 0.06575274281627075, 0.02429539667103778, -0.1609905810421465, 0.02964513303307864, 0.2927017958263274, -0.07620269600725309, 0.09101500675420869, -0.4655320446768945, -0.23394040191778914, -0.012395748389628187, 0.15516918026524681, 0.1290808730928058, -0.055797734632241455, -0.32081431665203786, 0.05548259455033324, -0.13125749127092687, -0.10025402104736052, -0.11597283686595884, -0.05765755701894787, -0.026499298318627882, -0.2391611297191544, 0.12244292666119608, 0.0075120411019518295, 0.12294120038436218, -0.09591591651974754, -0.14193964913720264, -0.08723075348375874, 0.01137507673014294, 0.043132397024468944, -0.024933075862513348, 0.12633669146823442, -0.10082796432331882, -0.13091058354105123, 0.3336382373574783, -0.07102073025466367, -0.0637375212888318, 0.13930584601211277, -0.1731119374194267, -0.14496425851671532, 0.10210344787390734, 0.07379276987842538, 0.059818121630021114, -0.1819815825543959, 0.03025636120953343, -0.048376299111722885, 0.1720647131473842, 0.004763167385350574, 0.07645591766076078, 0.2666947316378355, 0.1946397853168574, -0.023108570772985167, 0.08902091357158497, -0.1543283826989037, -0.029818897891197016, -0.29831860680133104, -0.14997142316371373, -0.15838550347094002, 0.05307858780301599, -0.07428071505591188, -0.15396592671220952, 0.4461795920675451, 0.19709308819675989, 0.2454077754000371, -0.005168425882319835, 0.2943244104400616, 0.11071590312693098, 0.08421817749675194, 0.009818091404370287, 0.19709059091665868, 0.20132697642230513, 0.10675043680874462, -0.31946675636678595, 0.09843284787017513, -0.04030262362423607] |
709.1247 | The Hopf invariant and simplex straightening | Let M be a closed 3-manifold which can be triangulated with N simplices. We
prove that any map from M to a genus 2 surface has Hopf invariant at most C^N.
Let X be a closed oriented hyperbolic 3-manifold with injectivity radius less
than epsilon at one point. If there is a degree non-zero map from M to X, then
we prove that epsilon is at least C^{-N}.
| math.DG | let m be a closed 3manifold which can be triangulated with n simplices we prove that any map from m to a genus 2 surface has hopf invariant at most cn let x be a closed oriented hyperbolic 3manifold with injectivity radius less than epsilon at one point if there is a degree nonzero map from m to x then we prove that epsilon is at least cn | [['let', 'm', 'be', 'a', 'closed', '3manifold', 'which', 'can', 'be', 'triangulated', 'with', 'n', 'simplices', 'we', 'prove', 'that', 'any', 'map', 'from', 'm', 'to', 'a', 'genus', '2', 'surface', 'has', 'hopf', 'invariant', 'at', 'most', 'cn', 'let', 'x', 'be', 'a', 'closed', 'oriented', 'hyperbolic', '3manifold', 'with', 'injectivity', 'radius', 'less', 'than', 'epsilon', 'at', 'one', 'point', 'if', 'there', 'is', 'a', 'degree', 'nonzero', 'map', 'from', 'm', 'to', 'x', 'then', 'we', 'prove', 'that', 'epsilon', 'is', 'at', 'least', 'cn']] | [-0.21112953635918744, 0.13604651942766985, -0.10702539264799699, -0.017748377775526878, -0.05360130543875344, -0.26810221497298165, -0.017326240126481828, 0.3775547497412738, -0.30649379388299114, -0.23591844173257842, 0.08638000426649609, -0.3176597598940134, -0.1069727598258075, 0.16270567304523223, -0.1411397122531472, -0.10724016665035914, 0.08875400616157361, 0.15020745873506017, -0.10694103774970726, -0.25099507290253636, 0.3674123728346518, -0.10021137279074858, 0.06985647965441732, 0.07786276727668284, 0.1333241782096379, -0.10140547293293126, 0.11881722112679306, 0.08042388462105438, -0.20147353041722774, 0.07071969083592515, 0.331878694733057, 0.051316870232660544, 0.1969662660780801, -0.32099378369200754, -0.18191350180217447, 0.2582817041753408, 0.14574082766878693, -0.06864724054364213, 0.02027034925926915, -0.22203670033965917, 0.24952733349602887, -0.04744565920234035, -0.19201710696934776, 0.00188634022796417, 0.15092436566620188, -0.0703730235588463, -0.2711399544085212, -0.07536441452034257, 0.06616309903534677, 0.13001485859208248, 0.027941377186353374, -0.15725259938249914, -0.13787089249201337, 0.08492097024367574, -0.04172573030433234, 0.24629429772989275, 0.09159891235450392, 0.010298871216090286, -0.03458768114968039, 0.3532287300126079, -0.14467777456743267, -0.29546486865729094, 0.10856176414424279, -0.25006706473034096, -0.15791695149998894, 0.20230674195815534, 0.09237932346706443, 0.18640020481475136, -0.005548941218020285, 0.21135474344277205, -0.13082634458174547, 0.18785207123052233, 0.14683251515688264, -0.0678946466102977, 0.21808296687188833, 0.09622066057122805, 0.19573068106546998, 0.09902629476239193, -0.04732010589214042, 0.08327404497300878, -0.3341525632696336, -0.197169649784508, -0.18952662642250823, 0.2647664016660522, -0.16955116837668946, -0.1185656975105624, 0.25693058737498875, -0.011968771344982088, 0.22012943327974746, 0.1615453212922576, 0.2307015035082312, 0.06550899170328836, 0.059762590893489474, 0.2096687392468619, 0.04791511452811606, 0.16732099253739066, -0.09302327447050415, -0.07293117684586083, 0.0017467581475263134, 0.19833764296901576] |
709.1248 | Gli Strumenti Scientifici di Interesse Storico di tre antiche Scuole
Medie Superiori di Bergamo ("Lussana", "Vittorio Emanuele", e "Quarenghi") | Wherever old Universities exist [in Europe, for example: Italy being not the
last one], there can be found Scientific Instruments of Historical Interest,
e.g., for Physics -which is the case we are concerned with here;- even if
proper attention has been paid to such an exceptional heritage only during the
last half a century. [We studied ourselves the material existing at the
University of Catania, Catania, Italy, almost 600 years old]. However, even
where ancient universities do not exist, a lot of Historical Scientific
Instruments are often owned by the local Senior High Schools. By the present
"small book" we want to make known the antique physics instruments that are in
possession of three Senior High Schools of Bergamo, Italy: the "Istituto
Tecnico Vittorio Emanuele", the "Liceo Scientifico Lussana", and the "Istituto
per Geometri Quarenghi". Namely, we catalogue and describe: 61 instruments of
the "Vittorio Emanuele" (52 of the second half of the XIX century, and 9 of the
first half of the XX century); 100 instruments of the "Lussana" (belonging
essentially to the first half of the XX century); and 26 instruments, mainly
topographical in this case, of the "Quarenghi" (8 of the second half of the XIX
century, and 16 of the first half of the XX century); without forgetting to add
suitable explanations about their functioning. Our aim will be reached if we
happen to stimulate other colleagues to perform similar work in their towns.
The present small book is in Italian, but it contains fifty-one (51)
self-explanatory photographs in color, and nineteen (19) black-and-white
sketches. Actually, we can put in the Archives this small book, instead of
others, also because -with the help of the typesetter- we eventually suceeded
in reducing its whole size to less than 1 M-b.
| physics.ed-ph physics.hist-ph | wherever old universities exist in europe for example italy being not the last one there can be found scientific instruments of historical interest eg for physics which is the case we are concerned with here even if proper attention has been paid to such an exceptional heritage only during the last half a century we studied ourselves the material existing at the university of catania catania italy almost 600 years old however even where ancient universities do not exist a lot of historical scientific instruments are often owned by the local senior high schools by the present small book we want to make known the antique physics instruments that are in possession of three senior high schools of bergamo italy the istituto tecnico vittorio emanuele the liceo scientifico lussana and the istituto per geometri quarenghi namely we catalogue and describe 61 instruments of the vittorio emanuele 52 of the second half of the xix century and 9 of the first half of the xx century 100 instruments of the lussana belonging essentially to the first half of the xx century and 26 instruments mainly topographical in this case of the quarenghi 8 of the second half of the xix century and 16 of the first half of the xx century without forgetting to add suitable explanations about their functioning our aim will be reached if we happen to stimulate other colleagues to perform similar work in their towns the present small book is in italian but it contains fiftyone 51 selfexplanatory photographs in color and nineteen 19 blackandwhite sketches actually we can put in the archives this small book instead of others also because with the help of the typesetter we eventually suceeded in reducing its whole size to less than 1 mb | [['wherever', 'old', 'universities', 'exist', 'in', 'europe', 'for', 'example', 'italy', 'being', 'not', 'the', 'last', 'one', 'there', 'can', 'be', 'found', 'scientific', 'instruments', 'of', 'historical', 'interest', 'eg', 'for', 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709.1249 | Emergence of Symmetry in Complex Networks | Many real networks have been found to have a rich degree of symmetry, which
is a very important structural property of complex network, yet has been rarely
studied so far. And where does symmetry comes from has not been explained. To
explore the mechanism underlying symmetry of the networks, we studied
statistics of certain local symmetric motifs, such as symmetric bicliques and
generalized symmetric bicliques, which contribute to local symmetry of
networks. We found that symmetry of complex networks is a consequence of
similar linkage pattern, which means that nodes with similar degree tend to
share similar linkage targets. A improved version of BA model integrating
similar linkage pattern successfully reproduces the symmetry of real networks,
indicating that similar linkage pattern is the underlying ingredient that
responsible for the emergence of the symmetry in complex networks.
| physics.soc-ph | many real networks have been found to have a rich degree of symmetry which is a very important structural property of complex network yet has been rarely studied so far and where does symmetry comes from has not been explained to explore the mechanism underlying symmetry of the networks we studied statistics of certain local symmetric motifs such as symmetric bicliques and generalized symmetric bicliques which contribute to local symmetry of networks we found that symmetry of complex networks is a consequence of similar linkage pattern which means that nodes with similar degree tend to share similar linkage targets a improved version of ba model integrating similar linkage pattern successfully reproduces the symmetry of real networks indicating that similar linkage pattern is the underlying ingredient that responsible for the emergence of the symmetry in complex networks | [['many', 'real', 'networks', 'have', 'been', 'found', 'to', 'have', 'a', 'rich', 'degree', 'of', 'symmetry', 'which', 'is', 'a', 'very', 'important', 'structural', 'property', 'of', 'complex', 'network', 'yet', 'has', 'been', 'rarely', 'studied', 'so', 'far', 'and', 'where', 'does', 'symmetry', 'comes', 'from', 'has', 'not', 'been', 'explained', 'to', 'explore', 'the', 'mechanism', 'underlying', 'symmetry', 'of', 'the', 'networks', 'we', 'studied', 'statistics', 'of', 'certain', 'local', 'symmetric', 'motifs', 'such', 'as', 'symmetric', 'bicliques', 'and', 'generalized', 'symmetric', 'bicliques', 'which', 'contribute', 'to', 'local', 'symmetry', 'of', 'networks', 'we', 'found', 'that', 'symmetry', 'of', 'complex', 'networks', 'is', 'a', 'consequence', 'of', 'similar', 'linkage', 'pattern', 'which', 'means', 'that', 'nodes', 'with', 'similar', 'degree', 'tend', 'to', 'share', 'similar', 'linkage', 'targets', 'a', 'improved', 'version', 'of', 'ba', 'model', 'integrating', 'similar', 'linkage', 'pattern', 'successfully', 'reproduces', 'the', 'symmetry', 'of', 'real', 'networks', 'indicating', 'that', 'similar', 'linkage', 'pattern', 'is', 'the', 'underlying', 'ingredient', 'that', 'responsible', 'for', 'the', 'emergence', 'of', 'the', 'symmetry', 'in', 'complex', 'networks']] | [-0.1519595087492609, 0.07346377526204485, -0.08791970247094628, 0.11137295915550031, -0.09347020943909336, -0.15163033000220927, -0.00849829297786688, 0.39767546843573015, -0.26364427986417843, -0.28880899380344677, 0.06115186742339146, -0.2265243144664804, -0.2511618314858745, 0.09953280661412624, -0.04269209529464955, 0.03877571429235532, 0.010262751010219184, 0.07929480748648263, -0.02002091085373917, -0.21479170394527233, 0.31571745680754676, 0.049616181561278234, 0.3480810487560709, 0.0438158454010537, 0.083298615686705, -0.03715062960776884, 0.007652795370257295, 0.07012560693821047, -0.057387063878302474, 0.11263989239438053, 0.23665276401922763, 0.11876702215693727, 0.19104180793853148, -0.42947630210341337, -0.2578243885928875, 0.18559273831916095, 0.1870512041838511, 0.1273992805423297, -0.06749544111559824, -0.2552366535357364, 0.1539639010297833, -0.15130633491571643, -0.15498150925508097, -0.09552884078113814, 0.023408372027059907, 0.013555829276275985, -0.22726676312124575, 0.059924155213486624, 0.10539747022010167, 0.11372064936714356, 0.013212953704436693, -0.10185845586238429, -0.09995981806594714, 0.14794817217625678, 0.04760220302491421, 0.014523942228954504, 0.07336899103264681, -0.1281033113653607, -0.14010499175449642, 0.4382720089188832, 0.020926594857455176, -0.13075927512460006, 0.2187782748711898, -0.12042708786012714, -0.22213326291496152, 0.13235582764643958, 0.1611287010326872, 0.08798398197327248, -0.1557029231437756, 0.0732451093456749, -0.11089011221466695, 0.16020113876969416, 0.06883719844250556, 0.03697079805715475, 0.18651175843072398, 0.15486541562302805, 0.07612424250991727, 0.10506965759764973, -0.033364980399389475, -0.14820079045260653, -0.19862752396832495, -0.10670410887584747, -0.18901958794038579, 0.06401022211556505, -0.08328495081064723, -0.15430592501755147, 0.43206419751239833, 0.08483381841249545, 0.22683085858657517, 0.004988182437955402, 0.19419560974433003, 0.06933708536106518, 0.1964667636750485, 0.03128239414175315, 0.21099294196071294, 0.1469826329163933, 0.06610300988369786, -0.16712024460909614, 0.15713408515747526, 0.02469164870254805] |
709.125 | Strongly Resonant Transmission of Electromagnetic Radiation in Periodic
Anisotropic Layered Media | The electromagnetic dispersion in periodic layered media can be tailored and
their resonant properties can be considerably improved by utilizing anisotropic
materials. Periodic structures with a photonic band edge split into two parts,
or so-called split band edge, exhibit superior resonant properties including
exceptionally high Q-values of transmission resonances and nearly perfect
impedance matching at the boundaries, even when the number of unit cells N is
not large. A microwave transmission resonance with Q~220 is demonstrated in a
periodic stack of form-birefringent layers with N=12 realized in a waveguide
geometry.
| physics.optics | the electromagnetic dispersion in periodic layered media can be tailored and their resonant properties can be considerably improved by utilizing anisotropic materials periodic structures with a photonic band edge split into two parts or socalled split band edge exhibit superior resonant properties including exceptionally high qvalues of transmission resonances and nearly perfect impedance matching at the boundaries even when the number of unit cells n is not large a microwave transmission resonance with q220 is demonstrated in a periodic stack of formbirefringent layers with n12 realized in a waveguide geometry | [['the', 'electromagnetic', 'dispersion', 'in', 'periodic', 'layered', 'media', 'can', 'be', 'tailored', 'and', 'their', 'resonant', 'properties', 'can', 'be', 'considerably', 'improved', 'by', 'utilizing', 'anisotropic', 'materials', 'periodic', 'structures', 'with', 'a', 'photonic', 'band', 'edge', 'split', 'into', 'two', 'parts', 'or', 'socalled', 'split', 'band', 'edge', 'exhibit', 'superior', 'resonant', 'properties', 'including', 'exceptionally', 'high', 'qvalues', 'of', 'transmission', 'resonances', 'and', 'nearly', 'perfect', 'impedance', 'matching', 'at', 'the', 'boundaries', 'even', 'when', 'the', 'number', 'of', 'unit', 'cells', 'n', 'is', 'not', 'large', 'a', 'microwave', 'transmission', 'resonance', 'with', 'q220', 'is', 'demonstrated', 'in', 'a', 'periodic', 'stack', 'of', 'formbirefringent', 'layers', 'with', 'n12', 'realized', 'in', 'a', 'waveguide', 'geometry']] | [-0.2084393132938428, 0.1751160383563923, -0.007507735910417324, -0.008345087725941218, -0.07238428852405776, -0.18818867190615432, 0.038177926731662135, 0.47037182919932213, -0.26984124080267513, -0.31020146332945403, 0.07537531626709669, -0.28850265730465396, -0.13952768692129364, 0.19491789846555488, 0.011543327092266317, 0.06273237299278714, 0.060772908725932745, -0.027220934189939767, -0.022876512554861353, -0.18056238208389894, 0.2645661902896474, 0.018012994683211606, 0.3225994532132584, 0.023821549197093825, 0.027377673084690666, 0.0412842723164247, 0.07489279064799795, 0.05417364348102821, -0.06634272087700246, 0.1081097854740834, 0.2660045496951998, -0.0709044966621722, 0.19270932959560094, -0.4709878403986438, -0.2312132301164812, 0.03655271714270701, 0.18455019483363697, 0.08279237174167392, -0.05269366374050968, -0.251658024119862, 0.09478485173012098, -0.0966595472202877, -0.1377998480384939, -0.022131600888090186, -0.04158937363895807, 0.007369671192208535, -0.26813268244496724, 0.013663825024379773, 0.0308965079203834, 0.044886528448923754, -0.05166334798036332, -0.08888871537709839, -0.06571971408478665, 0.07179892444204843, -0.07047844102103891, -0.0680805579916145, 0.11324576086500722, -0.11976741956484117, -0.10931334847563438, 0.3737824896920807, -0.0779664540543022, -0.17378650241520968, 0.1784894277833486, -0.16935315675342852, -0.003338975538865904, 0.21965386105303683, 0.16316009387164637, 0.0599027814950501, -0.10038827138699806, 0.08282406187977306, -0.016380904613878956, 0.1819976120062298, 0.1610054194487715, 0.11412157915961625, 0.25390444785942523, 0.1587415019944938, 0.046995294151508535, 0.15954128937178363, -0.07019993580689424, 0.020644310464182598, -0.1752953872900833, -0.11975186702198862, -0.19760763800566952, 0.026110137690001253, -0.0997807455853771, -0.2479038179349782, 0.4172271673850129, 0.012824256907039311, 0.23089883836467615, -0.04774914384856192, 0.2824251515204819, 0.13597818459855038, 0.1250033969179926, 0.07677889055457343, 0.2625290052991444, 0.14663457401159607, 0.04746982194692566, -0.21335334861337135, -0.00037520731736518693, -0.03523244204397282] |
709.1251 | Geomagnetic Field Effects on the Imaging Air Shower Cherenkov Technique | Imaging Air Cherenkov Telescopes (IACTs) detect the Cherenkov light flashes
of Extended Air Showers (EAS) triggered by very high energy (VHE) gamma-rays
impinging on the Earth's atmosphere. Due to the overwhelming background from
hadron induced EAS, the discrimination of the rare gamma-like events is rather
difficult, in particular at energies below 100 GeV. The influence of the
Geomagnetic Field (GF) on the EAS development can further complicate this
discrimination and, in addition, also systematically affect the gamma
efficiency and energy resolution of an IACT. Here we present the results from
dedicated Monte Carlo (MC) simulations for the MAGIC telescope site.
Additionally we show that measurements of sub-TeV gamma-rays from the Crab
nebula are affected even for a low GF strength of less than 33 micro Tesla.
| astro-ph | imaging air cherenkov telescopes iacts detect the cherenkov light flashes of extended air showers eas triggered by very high energy vhe gammarays impinging on the earths atmosphere due to the overwhelming background from hadron induced eas the discrimination of the rare gammalike events is rather difficult in particular at energies below 100 gev the influence of the geomagnetic field gf on the eas development can further complicate this discrimination and in addition also systematically affect the gamma efficiency and energy resolution of an iact here we present the results from dedicated monte carlo mc simulations for the magic telescope site additionally we show that measurements of subtev gammarays from the crab nebula are affected even for a low gf strength of less than 33 micro tesla | [['imaging', 'air', 'cherenkov', 'telescopes', 'iacts', 'detect', 'the', 'cherenkov', 'light', 'flashes', 'of', 'extended', 'air', 'showers', 'eas', 'triggered', 'by', 'very', 'high', 'energy', 'vhe', 'gammarays', 'impinging', 'on', 'the', 'earths', 'atmosphere', 'due', 'to', 'the', 'overwhelming', 'background', 'from', 'hadron', 'induced', 'eas', 'the', 'discrimination', 'of', 'the', 'rare', 'gammalike', 'events', 'is', 'rather', 'difficult', 'in', 'particular', 'at', 'energies', 'below', '100', 'gev', 'the', 'influence', 'of', 'the', 'geomagnetic', 'field', 'gf', 'on', 'the', 'eas', 'development', 'can', 'further', 'complicate', 'this', 'discrimination', 'and', 'in', 'addition', 'also', 'systematically', 'affect', 'the', 'gamma', 'efficiency', 'and', 'energy', 'resolution', 'of', 'an', 'iact', 'here', 'we', 'present', 'the', 'results', 'from', 'dedicated', 'monte', 'carlo', 'mc', 'simulations', 'for', 'the', 'magic', 'telescope', 'site', 'additionally', 'we', 'show', 'that', 'measurements', 'of', 'subtev', 'gammarays', 'from', 'the', 'crab', 'nebula', 'are', 'affected', 'even', 'for', 'a', 'low', 'gf', 'strength', 'of', 'less', 'than', '33', 'micro', 'tesla']] | [-0.04777796968789069, 0.2966883904865383, -0.04115749231081397, 0.178874215680278, -0.04148923462840714, -0.0348015470496778, 0.008366382222563501, 0.4456138015828199, -0.1906632133279114, -0.4235489626104633, 0.03169442074824243, -0.32512129799255896, -0.037323543203196356, 0.255217373160468, 0.005108018368778247, -0.004086202430901014, 0.2008691704314616, -0.048664588148572614, -0.0354630517642132, -0.1568936957083347, 0.2064405149883694, 0.2698705069912923, 0.2344088550575728, 0.10848952848778387, 0.0982889686932876, -0.036312035813425035, -0.028950086746749187, -0.04918346754349177, -0.07222874662387305, 0.06145672799856772, 0.24529606226225575, 0.09962876824041207, 0.1306758135084122, -0.43202904106250833, -0.20206935201320678, 0.15075698748622682, 0.11454691725139994, -0.022953344545962793, -0.06303378341845163, -0.32429686939669033, 0.06457080159868513, -0.1963209511475667, -0.15522205246435034, 0.07218114385891351, -0.08733321279786262, 0.04121306215945099, -0.19819201028624933, 0.00536990691034589, -0.036990954695890345, 0.11726065070760096, -0.047126089071204504, -0.1566693807493836, 0.019436182135472165, 0.03572033682472205, 0.10130817140729743, 0.026744941637540858, 0.16892903664755443, -0.1838847256343191, -0.0902273782661983, 0.3675492803292674, -0.039075574166504555, -0.04928236129501509, 0.211338422442269, -0.22486796862416206, -0.17328997681449568, 0.2975672391938075, 0.19722203496152477, 0.11946813333853488, -0.1537573125272516, 0.05462973640001904, 0.03597509852353676, 0.20327058515053184, 0.08323029611658837, 0.010440826203511467, 0.21924914364215164, 0.2038849050323257, 0.1015443513890551, 0.1391148895324607, -0.2823754447652766, 0.036732349404326035, -0.2676812324465977, -0.10887774628391193, -0.18424562960752242, 0.1104525284340886, -0.055632651953298286, -0.112881927961661, 0.400830871922644, 0.18089929055274714, 0.08658109756097906, -0.03348405774320579, 0.3247110588838243, 0.03984334138161983, 0.048876775192126395, 0.051463295273216705, 0.353074751971733, 0.11567077549498497, 0.13057839554098863, -0.22275581325973487, 0.059686478726299744, -0.0324164560057282] |
709.1252 | The Geometry of Toric Hyperk\"ahler Varieties | In this survey article we describe the geometry of toric hyperk\"ahler
varieties, which are hyperk\"ahler quotients of the quaternionic vector spaces
by tori. In particular, we discuss the Betti numbers, the cohomology ring, and
variation of hyperk\"ahler structures of these spaces with many improved
results and proofs.
| math.DG math.SG | in this survey article we describe the geometry of toric hyperkahler varieties which are hyperkahler quotients of the quaternionic vector spaces by tori in particular we discuss the betti numbers the cohomology ring and variation of hyperkahler structures of these spaces with many improved results and proofs | [['in', 'this', 'survey', 'article', 'we', 'describe', 'the', 'geometry', 'of', 'toric', 'hyperkahler', 'varieties', 'which', 'are', 'hyperkahler', 'quotients', 'of', 'the', 'quaternionic', 'vector', 'spaces', 'by', 'tori', 'in', 'particular', 'we', 'discuss', 'the', 'betti', 'numbers', 'the', 'cohomology', 'ring', 'and', 'variation', 'of', 'hyperkahler', 'structures', 'of', 'these', 'spaces', 'with', 'many', 'improved', 'results', 'and', 'proofs']] | [-0.2088601241579299, 0.032578298861676076, -0.04808715880016222, 0.169151234963136, -0.10971713622913082, -0.08375086359917483, -0.05888195908529327, 0.3474229193352004, -0.30330817555969064, -0.2142265884483114, 0.15461351233534515, -0.2142310494239977, -0.2080986688230583, 0.18587554440377874, -0.24050975432421298, -0.02595094965889733, 0.05078132983614156, 0.010571664714432777, -0.13896189598326988, -0.39563815192656315, 0.5576115363931402, -0.02630595125733538, 0.2168027638120854, 0.06789650203303453, 0.10102456386022746, -0.030518034492876937, -0.04625872605817115, -0.025040790458467414, -0.20017359825841924, 0.20267636832246122, 0.3551257778989508, 0.06220640911859401, 0.077367180522452, -0.41397532511581764, -0.11409390091579011, 0.22215354344510335, 0.13642275261078426, 0.03158197138567475, -0.006499443084318587, -0.3228643260935837, 0.03991060632657498, -0.13428711548368347, -0.20654710605146087, -0.18624691849455555, 0.0041844602674245834, 0.12088239795350014, -0.1181441905135487, -0.07556928539688283, 0.10648676951197868, 0.17965521758541148, -0.094254901999251, -0.11259136077492161, -0.08663346770001536, 0.012408332899212837, 0.011335039075384749, 0.021183180900171718, 0.127420328725922, -0.09765877302716229, -0.16454926519555615, 0.3551852801378737, -0.030693167513434556, -0.26933483470310554, 0.06982215662348143, -0.21537516718888852, -0.20608830880968176, 0.13610702636404, 0.11011221630379875, 0.20232819146575762, 0.04528134106163015, 0.18540796909748794, -0.1274219173244498, 0.012100595980882645, 0.1282390230880218, 0.04900266267755564, 0.12972846920502948, 0.09666204392573143, 0.033497140207204054, 0.1268495042521031, -0.02184912687207156, -0.08609347912591901, -0.3803956459494347, -0.23670565394407256, -0.06681881661209813, 0.1675911298061305, -0.14091013102393418, -0.13250945096320293, 0.42988966001158063, 0.017590307511706302, 0.185410744733514, 0.10788267837252785, 0.22539280899899436, -0.08167433976492983, 0.018336833831160627, 0.013965742939964254, 0.1595411353070844, 0.2806436297870142, 0.039971134179529355, -0.07650983745747424, -0.12935331841296654, 0.23525508477332743] |
709.1253 | The Entire Cyclic Cohomology of Noncommutative 2-Tori | Our aim in this paper is to compute the entire cyclic cohomology of
noncommutative 2-tori. First of all, we clarify their algebraic structure of
noncommutative 2-tori as a $F^*$-algebra, according to the idea of
Elliott-Evans. Actually, they are the inductive limit of subhomogeneous
$F^*$-algebras. Using such a result, we compute their entire cyclic cohomology,
which is isomorphic to their periodic one as a complex vector space.
| math.KT math.QA | our aim in this paper is to compute the entire cyclic cohomology of noncommutative 2tori first of all we clarify their algebraic structure of noncommutative 2tori as a falgebra according to the idea of elliottevans actually they are the inductive limit of subhomogeneous falgebras using such a result we compute their entire cyclic cohomology which is isomorphic to their periodic one as a complex vector space | [['our', 'aim', 'in', 'this', 'paper', 'is', 'to', 'compute', 'the', 'entire', 'cyclic', 'cohomology', 'of', 'noncommutative', '2tori', 'first', 'of', 'all', 'we', 'clarify', 'their', 'algebraic', 'structure', 'of', 'noncommutative', '2tori', 'as', 'a', 'falgebra', 'according', 'to', 'the', 'idea', 'of', 'elliottevans', 'actually', 'they', 'are', 'the', 'inductive', 'limit', 'of', 'subhomogeneous', 'falgebras', 'using', 'such', 'a', 'result', 'we', 'compute', 'their', 'entire', 'cyclic', 'cohomology', 'which', 'is', 'isomorphic', 'to', 'their', 'periodic', 'one', 'as', 'a', 'complex', 'vector', 'space']] | [-0.18946015826211526, 0.09402084015309811, -0.10933542666383661, 0.10350490469539252, -0.12509726150534473, -0.0781518964884946, 0.007983914524531708, 0.35484976911774047, -0.372490518912673, -0.20401825291606096, 0.1500456369893912, -0.1904512324155523, -0.19010729377086347, 0.16339664742923699, -0.1448672906567271, -0.01006788329149668, -0.022953031942821465, 0.1347434973845688, -0.09690297610807018, -0.2872667209854206, 0.4111386676820425, 0.006935131874007101, 0.19839387230861646, 0.007267910628937758, 0.09533511654545482, 0.006170265261943524, -0.05277737422774618, -0.028412066455236456, -0.1460700472888465, 0.15777836877566118, 0.3333981756514941, 0.07632747832685709, 0.20532713237827502, -0.3810142984183935, -0.10040221555301776, 0.18972218964392176, 0.14565673466915122, 0.05769021114728485, 0.04188339036817734, -0.21460901114803094, 0.14486086427305753, -0.21891585145002374, -0.15631097195526727, -0.09380421174260287, 0.03713061955685799, 0.02689976434294994, -0.18427304384531454, -0.03854999877512455, 0.1331916608202916, 0.07712428796534929, -0.08118636632481446, -0.013016499097172457, -0.05342927609140483, 0.15190646096061056, -0.020558878012861197, 0.04307208501089078, 0.11521046913157289, -0.023096242958966357, -0.14275055140830004, 0.41018743377465466, -0.05129333066825683, -0.22113852265935677, 0.1310238124229587, -0.14480266069563535, -0.16193808620222486, 0.10746920220553875, 0.09374665723970303, 0.18902261967842396, -0.048655894721965666, 0.16890117303969768, -0.11019400994365032, 0.07026310987197436, 0.07441009533090087, 0.029552836787815277, 0.1718449529690238, 0.08818831529038457, 0.04884782393391316, 0.15161421396411381, 0.033872055871268875, -0.09828970233838145, -0.3469265066087246, -0.22105096773459362, -0.1530499725548837, 0.15339812083313098, -0.09584046150199496, -0.24026438616789303, 0.43401638813173543, 0.12167245100897092, 0.22283602096140384, 0.07999301445491325, 0.2612884634031126, 0.05871004008222371, 0.08460355162119063, 0.02273583854190432, 0.142414694540919, 0.23170415844696646, 0.023255611354341874, -0.13231248043190974, -0.02570574199780822, 0.17585764245058483] |
709.1254 | Z+(4430) as a cusp in D*(2010)Dbar_1(2420) | The Z^+(4430) observed by Belle is explained naturally as a threshold cusp in
the D*(2010)Dbar_1(2420) system.
| hep-ph | the z4430 observed by belle is explained naturally as a threshold cusp in the d2010dbar_12420 system | [['the', 'z4430', 'observed', 'by', 'belle', 'is', 'explained', 'naturally', 'as', 'a', 'threshold', 'cusp', 'in', 'the', 'd2010dbar_12420', 'system']] | [-0.1625451066841682, 0.16812174456814924, -0.11097620005408923, 0.20831138147817305, -0.05434021838009358, -0.13574856367583077, 0.08657616687317689, 0.22906298111192883, -0.20093017915884653, -0.2843533232808113, -0.015591993749452134, -0.27562439665198324, -0.17756979341308277, 0.1752214789390564, 0.010965706470112005, 0.11446366906166076, 0.09365896622960766, 0.06282301773317159, 0.04843524607519309, -0.14357750884567697, 0.3470012610157331, 0.07292295843362809, 0.20143468342721463, 0.06709015580515067, -0.0090298297504584, -0.07649421944903831, 0.1017036293943723, 0.0070056593666474026, -0.028207695546249547, -0.031655980708698434, 0.26757928530375164, 0.17467236829300722, 0.14471177061398824, -0.30891802174349625, -0.16365245133638381, 0.0626481145620346, 0.23138424406449, 0.012667294840017955, -0.007491595111787319, -0.45262121489892404, 0.14113317547986906, -0.24035121500492096, -0.20760848264520368, 0.012499915963659684, -0.017911980797847112, -0.08262992346038421, -0.2809821238120397, 0.11893981670339902, 0.04492953183750312, 0.05316694527864456, -0.021761595644056796, -0.19273555672261863, -0.03535253256559372, -0.07716267236197988, 0.001733625354245305, 0.10650146547704935, 0.23532104715704918, -0.1516866508560876, -0.20007470982770126, 0.35015418703357376, -0.10462548681534826, -0.04464047414561113, 0.054067807147900264, -0.28209727726255857, -0.06545361503958702, 0.1647769406437874, 0.08886831738054753, -0.05211499997725089, -0.18067414937540888, 0.09125523467858633, -0.10951719706257185, 0.13206807511548202, 0.10822578941782315, -0.025731022904316583, 0.19736261069774627, 0.24696965962648393, -0.022780482098460196, 0.11557733532972633, -0.03138301149010658, -0.04017894019683202, -0.37163434475660323, -0.09483868777751922, -0.18880853205919265, 0.03993236708920449, 0.04766915366053581, -0.08973212192455927, 0.31161530266205467, -0.04685677575568358, 0.47081526468197504, -0.08703661090694367, 0.2559611010054747, 0.19152473676173637, 0.13501470983028413, -0.02934012465799848, 0.3231880341966947, 0.11843445737225314, 0.12622672729194165, -0.298136429519703, 0.1423835330332319, 0.010605815642823776] |
709.1255 | Local structure of algebraic monoids | We describe the local structure of an irreducible algebraic monoid $M$ at an
idempotent element $e$. When $e$ is minimal, we show that $M$ is an induced
variety over the kernel $MeM$ (a homogeneous space) with fibre the two-sided
stabilizer $M_e$ (a connected affine monoid having a zero element and a dense
unit group). This yields the irreducibility of stabilizers and centralizers of
idempotents when $M$ is normal, and criteria for normality and smoothness of an
arbitrary $M$. Also, we show that $M$ is an induced variety over an abelian
variety, with fiber a connected affine monoid having a dense unit group.
| math.AG | we describe the local structure of an irreducible algebraic monoid m at an idempotent element e when e is minimal we show that m is an induced variety over the kernel mem a homogeneous space with fibre the twosided stabilizer m_e a connected affine monoid having a zero element and a dense unit group this yields the irreducibility of stabilizers and centralizers of idempotents when m is normal and criteria for normality and smoothness of an arbitrary m also we show that m is an induced variety over an abelian variety with fiber a connected affine monoid having a dense unit group | [['we', 'describe', 'the', 'local', 'structure', 'of', 'an', 'irreducible', 'algebraic', 'monoid', 'm', 'at', 'an', 'idempotent', 'element', 'e', 'when', 'e', 'is', 'minimal', 'we', 'show', 'that', 'm', 'is', 'an', 'induced', 'variety', 'over', 'the', 'kernel', 'mem', 'a', 'homogeneous', 'space', 'with', 'fibre', 'the', 'twosided', 'stabilizer', 'm_e', 'a', 'connected', 'affine', 'monoid', 'having', 'a', 'zero', 'element', 'and', 'a', 'dense', 'unit', 'group', 'this', 'yields', 'the', 'irreducibility', 'of', 'stabilizers', 'and', 'centralizers', 'of', 'idempotents', 'when', 'm', 'is', 'normal', 'and', 'criteria', 'for', 'normality', 'and', 'smoothness', 'of', 'an', 'arbitrary', 'm', 'also', 'we', 'show', 'that', 'm', 'is', 'an', 'induced', 'variety', 'over', 'an', 'abelian', 'variety', 'with', 'fiber', 'a', 'connected', 'affine', 'monoid', 'having', 'a', 'dense', 'unit', 'group']] | [-0.20847169009000793, 0.11282635450804852, -0.06846751457573298, -0.0286185584389422, -0.08925782922911, -0.10428916205487707, -0.0153006886556635, 0.4120385556472648, -0.37460482872876466, -0.1526980012399601, 0.0911417865769609, -0.24923808716566248, -0.10036510301699095, 0.21199530591119958, -0.13035077699368783, -0.050982706321805134, 0.0567310939122941, 0.12400073858945831, -0.12707448330041313, -0.26831324212024826, 0.3786747576942777, -0.017161503671577163, 0.23642743638187064, -0.006010999811776713, 0.16977972298057056, 0.01786004762649171, -0.021616247215527382, 0.01271464360173673, -0.13268363593199275, 0.10280308814025392, 0.28142830749571907, 0.057234036444010684, 0.1991164065993336, -0.3441598949333032, -0.14313355384065823, 0.24525071185666555, 0.0840481595414709, -0.044554341657488956, -0.031848576296504366, -0.22887340964128575, 0.1750443684748675, -0.23293495077785908, -0.15369619968274206, -0.03485370361629654, 0.1154222441471967, -0.024093112365032237, -0.32510352977289014, -0.08383484448873502, 0.12410427769646049, 0.16301241206626096, -0.02745781828279552, -0.08198356193686634, -0.05799495400039151, 0.06888819617212422, -0.09861294597423836, 0.043183218833862565, 0.10748862614484239, -0.0676316353287, -0.06725925085244372, 0.3669821794930042, -0.0861438343429244, -0.24718894302050637, 0.16028883565655527, -0.14507305470532647, -0.09773739174295984, 0.16874188332197568, 0.07899821527740535, 0.11694334207248747, -0.04125102026606042, 0.23088189688118577, -0.18518113427482746, 0.0992811988016554, 0.03840568275236543, -0.0028218200439404624, 0.12867697153021307, 0.13329339299040535, 0.13825808078799323, 0.0942069991656086, -0.013243940654302053, 0.052310790739070134, -0.3802142547918301, -0.21783031518205853, -0.1473672811886953, 0.1519981696653892, -0.14000231667602087, -0.200600885977859, 0.365827395923107, -0.006725804373512373, 0.19048117411176801, 0.07582952264769405, 0.21336383755117946, 0.04718702184218986, 0.041474547267652644, 0.10856408181180265, 0.04374533237469401, 0.23748780083933882, -0.12726647591939672, -0.19501438286776343, -0.024400255140647583, 0.16406472986929266] |
709.1256 | Experiments needed in Meson and Baryon Spectroscopy | Three (or four) straightforward experiments would contribute greatly to
completing the spectroscopy of baryons and light mesons. In the baryon sector,
data are needed on inelastic reactions from a polarised target with pi and kaon
beams up to 3 GeV/c. Similar data are needed in the light meson sector for
pbar-p interactions in the momentum range 0.3 to 2 GeV/c. In both cases,
valuable information is to be obtained from longitudinal (L) and sideways (S)
target polarisations as well as the conventional normal (N) polarisation.
Thirdly, 3S_1 and 3D_1 mesons in the mass range 1 to 2.4 GeV/c could probably
be separated either by diffractive dissociation of transversely polarised
photons or by radiative return experiments using transversely and
longitudinally polarised electrons.
| hep-ex | three or four straightforward experiments would contribute greatly to completing the spectroscopy of baryons and light mesons in the baryon sector data are needed on inelastic reactions from a polarised target with pi and kaon beams up to 3 gevc similar data are needed in the light meson sector for pbarp interactions in the momentum range 03 to 2 gevc in both cases valuable information is to be obtained from longitudinal l and sideways s target polarisations as well as the conventional normal n polarisation thirdly 3s_1 and 3d_1 mesons in the mass range 1 to 24 gevc could probably be separated either by diffractive dissociation of transversely polarised photons or by radiative return experiments using transversely and longitudinally polarised electrons | [['three', 'or', 'four', 'straightforward', 'experiments', 'would', 'contribute', 'greatly', 'to', 'completing', 'the', 'spectroscopy', 'of', 'baryons', 'and', 'light', 'mesons', 'in', 'the', 'baryon', 'sector', 'data', 'are', 'needed', 'on', 'inelastic', 'reactions', 'from', 'a', 'polarised', 'target', 'with', 'pi', 'and', 'kaon', 'beams', 'up', 'to', '3', 'gevc', 'similar', 'data', 'are', 'needed', 'in', 'the', 'light', 'meson', 'sector', 'for', 'pbarp', 'interactions', 'in', 'the', 'momentum', 'range', '03', 'to', '2', 'gevc', 'in', 'both', 'cases', 'valuable', 'information', 'is', 'to', 'be', 'obtained', 'from', 'longitudinal', 'l', 'and', 'sideways', 's', 'target', 'polarisations', 'as', 'well', 'as', 'the', 'conventional', 'normal', 'n', 'polarisation', 'thirdly', '3s_1', 'and', '3d_1', 'mesons', 'in', 'the', 'mass', 'range', '1', 'to', '24', 'gevc', 'could', 'probably', 'be', 'separated', 'either', 'by', 'diffractive', 'dissociation', 'of', 'transversely', 'polarised', 'photons', 'or', 'by', 'radiative', 'return', 'experiments', 'using', 'transversely', 'and', 'longitudinally', 'polarised', 'electrons']] | [-0.016944923522797497, 0.3196492302654819, -0.05945019169435413, 0.12346525040882339, -0.02804932904560581, -0.15302231508761274, 0.04521502869988769, 0.4121904796843748, -0.20403432124486762, -0.28986816040494223, -0.03880651751706331, -0.37922117063267663, 0.08758048637200547, 0.17980374384686842, 0.07996026974812165, 0.061446250220067986, 0.07494537550705863, -0.02783191311827376, -0.0054044681678195134, -0.19048494772123528, 0.30518163110452806, 0.0198485823579071, 0.20965803720149373, 0.14288056065705568, 0.039455192330993774, 0.08063710827288056, -0.053187838339916436, -0.08589228139968057, -0.04728480640506326, 0.03577114922987405, 0.29260805920189753, 0.07666039302721928, 0.07670254694405666, -0.3966262296856235, -0.1302459308981495, 0.10982716078427428, 0.19930584272292773, 0.1012018534454925, -0.01488036463472007, -0.2941259986928795, 0.041564612633025286, -0.1429438839497214, -0.14798340434785778, -0.10118487396485303, 0.015227512733564397, 0.009113121962498041, -0.3140312836867226, 0.0800356681781921, -0.02339957047577116, 0.05831950858104512, -0.03198117552294342, -0.22765564390512044, -0.07901586505415087, 0.027993253316761047, 0.10130927593000849, 0.17769203186015914, 0.1581048983818378, -0.14180628364628628, -0.1350861068291605, 0.407778047202232, -0.04808088065479105, -0.17803746567315554, 0.1418210265942472, -0.24591845247802163, -0.0499549999963954, 0.23932728312971177, 0.24762227094716832, 0.09508769330231873, -0.17320235688739632, -0.0014728600287248095, -0.0214481284526323, 0.19455882483585316, 0.13995323070971497, 0.05790901643682025, 0.1918481891235906, 0.15549991829638285, -0.04749018318993463, 0.03850176238285547, -0.12686511138954376, -0.017077714358725824, -0.3237985173886842, -0.10127059884430949, -0.06567819623569073, 0.11626956500651792, -0.027853361091721797, 0.025269445770781888, 0.3331652972539348, 0.0010972804482376841, 0.24859727416110555, -0.037026268437751066, 0.35198822933872626, 0.017802673613283138, 0.062463895690989146, 0.10130640956349979, 0.2752291630060712, 0.2048154189982567, 0.1777470004860281, -0.19955775823852062, -0.0461845163824537, -0.0583550857864936] |
709.1257 | Projective superspace and hyperkahler sigma models on cotangent bundles
of Hermitian symmetric spaces | We review the projective-superspace construction of four-dimensional N=2
supersymmetric sigma models on (co)tangent bundles of the classical Hermitian
symmetric spaces.
| hep-th | we review the projectivesuperspace construction of fourdimensional n2 supersymmetric sigma models on cotangent bundles of the classical hermitian symmetric spaces | [['we', 'review', 'the', 'projectivesuperspace', 'construction', 'of', 'fourdimensional', 'n2', 'supersymmetric', 'sigma', 'models', 'on', 'cotangent', 'bundles', 'of', 'the', 'classical', 'hermitian', 'symmetric', 'spaces']] | [-0.1584899197332561, 0.11496157858928199, 0.0204453619197011, 0.12463589604012668, -0.09964987933635712, -0.18683570981957018, -0.10960367321968079, 0.3217012070119381, -0.11426758291199804, -0.12547189388424157, 0.11232104861992412, -0.24728486090898513, -0.2503329586237669, 0.08851425278699025, -0.15808376409113406, 0.04396897729020566, -0.0005896551534533501, 0.08922109194099903, -0.2760478907264769, -0.3106935903429985, 0.46399040780961515, -0.03599276312161237, 0.22957388628274203, -0.004609558917582035, 0.0861897248774767, 0.05626907055266202, -0.04919604640454054, -0.12588263899087906, -0.20791713213548063, 0.20202907919883728, 0.2462742162950235, 0.07915751924738287, 0.027432069275528194, -0.4113880140706897, -0.21011001862207196, 0.23960327915847301, 0.10613631857559085, 0.023276784084737302, 0.05974949166993611, -0.29928423520177605, -0.045792754553258416, -0.13312638539355248, -0.18431833405047654, -0.06808227188885212, 0.04065238833427429, -0.11305757723748684, -0.16053349040448667, -0.035420930944383144, 0.09386818995699286, 0.06756359431892633, -0.1025193914596457, -0.1727705548866652, -0.1611274728551507, -0.042577293887734416, 0.014706034120172263, 0.036007237574085596, 0.1552811217494309, -0.08987233953084797, -0.2185427593998611, 0.3775864000432193, -0.11887786570005118, -0.31466832272708417, 0.04163250965066254, -0.10550972428172826, -0.21762359701097012, 0.11513559147715569, 0.13697946919128298, 0.2664915584027767, 0.05262468196451664, 0.3263062987476587, -0.18557828320190312, 0.04069490248220973, 0.054627866856753825, 0.01134759159758687, 0.21267917081713678, 0.13668777588754893, 0.004939171764999628, 0.0959871313534677, 0.04818883311236277, -0.25877172365726436, -0.473862898349762, -0.21060848321212688, -0.03751224162988365, 0.2811411812901497, -0.1557730469852686, -0.1884116748929955, 0.39547773003578185, 0.004471491611911915, 0.16057900902815164, 0.20084424470551313, 0.17478369884192943, -0.0038855613820487633, 0.015435120486654342, -0.0060717019252479075, 0.18902524542063476, 0.2962963833473623, 0.015217698761262, -0.14310502307489514, -0.27205545026808975, 0.30102101401425896] |
709.1258 | Fermi-point scenario for emergent gravity | Let us assume that gravity is an emergent low-energy phenomenon arising from
a topologically stable defect in momentum space -- the Fermi point. What are
the consequences? We discuss the natural values of fermion masses and
cosmological constant; flatness of the Universe; bounds on Lorentz violation;
etc.
| gr-qc cond-mat.stat-mech hep-ph | let us assume that gravity is an emergent lowenergy phenomenon arising from a topologically stable defect in momentum space the fermi point what are the consequences we discuss the natural values of fermion masses and cosmological constant flatness of the universe bounds on lorentz violation etc | [['let', 'us', 'assume', 'that', 'gravity', 'is', 'an', 'emergent', 'lowenergy', 'phenomenon', 'arising', 'from', 'a', 'topologically', 'stable', 'defect', 'in', 'momentum', 'space', 'the', 'fermi', 'point', 'what', 'are', 'the', 'consequences', 'we', 'discuss', 'the', 'natural', 'values', 'of', 'fermion', 'masses', 'and', 'cosmological', 'constant', 'flatness', 'of', 'the', 'universe', 'bounds', 'on', 'lorentz', 'violation', 'etc']] | [-0.18353546844066485, 0.25256767692126625, -0.10034307614778695, 0.14248813993712564, -0.12815893052712732, -0.1305254654371706, 0.02152110765809598, 0.2846618568443734, -0.24828264844077436, -0.265328130117901, 0.03517518775365518, -0.26129240757259337, -0.10059272474609315, 0.1665520946211789, -0.047542729111307344, -0.01913577384212935, -0.06259068187690624, 0.05551544254969643, -0.13174054012937553, -0.21220998536876362, 0.4205952236712303, 0.05059302007873118, 0.2589957276764123, 0.06720584819255315, 0.07232735176449237, -0.05830654558604178, 0.022349093352322994, 0.022060464960700105, -0.2223364277801327, 0.05839620633860645, 0.17977736448950093, 0.07205878222442191, 0.17489335983159632, -0.39446985622382036, -0.2178102123308117, 0.1642618617852745, 0.10956993843833714, 0.11491646293712698, -0.07416185614420101, -0.3017012283165494, 0.008771804346115854, -0.13243834909213625, -0.20482050870423732, -0.08116819466585698, -0.0004803135019281636, -0.12165108412180257, -0.21522532257696855, 0.08563739147907852, -0.01041689622418388, 0.029114113604325965, -0.08525383239611983, -0.07784793505688077, -0.04803419426974395, 0.056799721873729773, 0.1516386272193378, -0.0055141892365139465, 0.1585609356407076, -0.13762183044024784, -0.12486858631524703, 0.4809833689714256, -0.09936641726728893, -0.18373418309942202, 0.146348292666042, -0.2040783762121978, -0.15060767507099587, 0.10381635442963275, 0.11315538778739131, 0.0545751742573212, -0.09860910497524816, 0.22151995944137604, -0.08187461296177428, 0.10732340671276451, 0.08552453580879323, 0.10400711709592977, 0.3271227676988296, 0.0896787676281984, 0.10782073445253722, 0.037132229453519634, -0.06380482538825953, -0.07720585712029235, -0.39244125026237703, -0.16235188163472744, -0.18351849448441973, 0.14677758317987394, -0.15555309448562027, -0.1543316161234701, 0.3554116765988748, 0.13991613707343198, 0.2200155055027845, 0.011387379394601221, 0.19874239229576904, 0.07537479206676716, 0.030237560367981052, 0.07766800761506286, 0.25860220849837945, 0.12997861913121914, 0.05636078102574886, -0.2664455069563068, -0.024413407557522474, 0.09047872405094297] |
709.1259 | Light-induced disassembly of dusty bodies in inner protoplanetary discs:
implications for the formation of planets | Laboratory experiments show that a solid-state greenhouse effect in
combination with thermophoresis can efficiently erode a dust bed in a
low-pressure gaseous environment. The surface of an illuminated, light
absorbing dusty body is cooler than the dust below the surface (solidstate
greenhouse effect). This temperature gradient leads to a directed momentum
transfer between gas and dust particles and the dust particles are subject to a
force towards the surface(thermophoresis). If the thermophoretic force is
stronger than gravity and cohesion, dust particles are ejected. Applied to
protoplanetary discs, dusty bodies smaller than several kilometres in size
which are closer to a star than about 0.4 au are subject to a rapid and
complete disassembly to submillimetre size dust aggregates by this process.
While an inward-drifting dusty body is destroyed, the generated dust is not
lost for the disc by sublimation or subsequent accretion on to the star but can
be reprocessed by photophoresis or radiation pressure. Planetesimals cannot
originate through aggregation of dust inside the erosion zone. If objects
larger than several kilometres already exist, they prevail and further grow by
collecting dust from disassembled smaller bodies. The pile-up of solids in a
confined inner region of the disc, in general, boosts the formation of planets.
Erosion is possible in even strongly gas-depleted inner regions as observed for
TW Hya. Reprocessing of dust through light-induced erosion offers one possible
explanation for growth of large cores of gas-poor giant planets in a
gas-starved region as recently found around HD 149026b.
| astro-ph | laboratory experiments show that a solidstate greenhouse effect in combination with thermophoresis can efficiently erode a dust bed in a lowpressure gaseous environment the surface of an illuminated light absorbing dusty body is cooler than the dust below the surface solidstate greenhouse effect this temperature gradient leads to a directed momentum transfer between gas and dust particles and the dust particles are subject to a force towards the surfacethermophoresis if the thermophoretic force is stronger than gravity and cohesion dust particles are ejected applied to protoplanetary discs dusty bodies smaller than several kilometres in size which are closer to a star than about 04 au are subject to a rapid and complete disassembly to submillimetre size dust aggregates by this process while an inwarddrifting dusty body is destroyed the generated dust is not lost for the disc by sublimation or subsequent accretion on to the star but can be reprocessed by photophoresis or radiation pressure planetesimals cannot originate through aggregation of dust inside the erosion zone if objects larger than several kilometres already exist they prevail and further grow by collecting dust from disassembled smaller bodies the pileup of solids in a confined inner region of the disc in general boosts the formation of planets erosion is possible in even strongly gasdepleted inner regions as observed for tw hya reprocessing of dust through lightinduced erosion offers one possible explanation for growth of large cores of gaspoor giant planets in a gasstarved region as recently found around hd 149026b | [['laboratory', 'experiments', 'show', 'that', 'a', 'solidstate', 'greenhouse', 'effect', 'in', 'combination', 'with', 'thermophoresis', 'can', 'efficiently', 'erode', 'a', 'dust', 'bed', 'in', 'a', 'lowpressure', 'gaseous', 'environment', 'the', 'surface', 'of', 'an', 'illuminated', 'light', 'absorbing', 'dusty', 'body', 'is', 'cooler', 'than', 'the', 'dust', 'below', 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709.126 | Algebraic structures on parallel M2-branes | In the course of closing supersymmetry on parallel M2 branes up to a gauge
transformation, following the suggestion in hep-th/0611108 of incorporating a
gauge field which only has topological degrees of freedom, we are led to assume
a certain algebraic structure for the low energy theory supposedly living on
parallel M2 branes.
| hep-th | in the course of closing supersymmetry on parallel m2 branes up to a gauge transformation following the suggestion in hepth0611108 of incorporating a gauge field which only has topological degrees of freedom we are led to assume a certain algebraic structure for the low energy theory supposedly living on parallel m2 branes | [['in', 'the', 'course', 'of', 'closing', 'supersymmetry', 'on', 'parallel', 'm2', 'branes', 'up', 'to', 'a', 'gauge', 'transformation', 'following', 'the', 'suggestion', 'in', 'hepth0611108', 'of', 'incorporating', 'a', 'gauge', 'field', 'which', 'only', 'has', 'topological', 'degrees', 'of', 'freedom', 'we', 'are', 'led', 'to', 'assume', 'a', 'certain', 'algebraic', 'structure', 'for', 'the', 'low', 'energy', 'theory', 'supposedly', 'living', 'on', 'parallel', 'm2', 'branes']] | [-0.20601273189052283, 0.20963328795544073, -0.08712594148100299, 0.03516048919774738, -0.11409651557914913, -0.1447458355322334, 0.031306777635644024, 0.3046682153773658, -0.18586686352158294, -0.31581951319879176, 0.06119215282538504, -0.22953662475315378, -0.09770555102138542, 0.10140747816174053, -0.09351976716197004, -0.027944748381189273, -0.02557574930217336, 0.0720077557580582, -0.07273675976138488, -0.2773652747775629, 0.3080830380557945, 0.014224742776622959, 0.26856146040646467, 0.04286279872644181, 0.1564277951130826, -0.007262640755952281, 0.011373474728316069, -0.007909769447995168, -0.09987353230370026, 0.13103222169493342, 0.2122742369150122, 0.032055598555826674, 0.1678917164795612, -0.471300488063956, -0.2129229676051467, 0.025039141961172514, 0.14188688013967418, 0.1360570408070606, -0.027545827883752247, -0.25256245628948887, 0.09840543202909768, -0.13399515363077322, -0.1311547705657123, -0.0630486994643933, 0.0005900267735306247, -0.0802534855902195, -0.21551444145563223, 0.0031902832483419663, 0.04467059377873061, 0.1113759555178238, -0.02945071213203026, -0.070212886219059, -0.03902892129240083, 0.036085546491485015, 0.1293604222911538, 0.0858245302703889, 0.11294782557981271, -0.18595395312078444, -0.1208970033764547, 0.3457202795965999, -0.028296968698793768, -0.24354949323277847, 0.1962210811199803, -0.12320168362017356, -0.1938493574293805, 0.12236069708916486, 0.13770450526099726, 0.14423694344712237, -0.09970518141441669, 0.21494961941361374, -0.0025541924816720627, 0.16270618151654215, 0.12602869845817194, 0.04157538193405843, 0.28358910865533876, 0.11235939562959853, 0.07761907162984796, 0.10319626952211063, -0.0072016181132080505, -0.15134864293184935, -0.37646501715861114, -0.19067011993177527, -0.10929175992222394, 0.15970443839243814, -0.1126699437496855, -0.1475468906482645, 0.42388878198450103, 0.08535778474783999, 0.16354121903286262, -0.012139831521256151, 0.18774671881806618, 0.06215591544248894, 0.10975821773685954, 0.05695278119003656, 0.23357592625360862, 0.1514600995270645, 0.08985108005649903, -0.19910187492439269, -0.11612133189634073, 0.09030732950743507] |
709.1261 | L^2-spectral invariants and convergent sequences of finite graphs | Using the spectral theory of weakly convergent sequences of finite graphs, we
prove the uniform existence of the integrated density of states for a large
class of infinite graphs.
| math.SP math.CO | using the spectral theory of weakly convergent sequences of finite graphs we prove the uniform existence of the integrated density of states for a large class of infinite graphs | [['using', 'the', 'spectral', 'theory', 'of', 'weakly', 'convergent', 'sequences', 'of', 'finite', 'graphs', 'we', 'prove', 'the', 'uniform', 'existence', 'of', 'the', 'integrated', 'density', 'of', 'states', 'for', 'a', 'large', 'class', 'of', 'infinite', 'graphs']] | [-0.172582836356014, 0.18397419503087115, -0.11030321934356771, 0.08418428547808836, 0.002255455622899121, -0.03260354055412885, 0.022985772630159648, 0.34366968749412174, -0.268756034784019, -0.23269991545359894, 0.1171244909617536, -0.25208195690707913, -0.06707086905451684, 0.14941034623389615, -0.023483146014141625, 0.09657291387175691, 0.1043143311258534, 0.06837387061838446, -0.06973167608395733, -0.2152271252767793, 0.370997988827655, -0.0590342759829143, 0.2571218914256014, 0.07678162133128479, 0.14474995768275753, 0.023679930957612293, -0.020861542189558005, 0.09578517270435033, -0.14611211167006144, 0.21348680336437798, 0.2732603622777066, 0.10103852484086208, 0.28234289072710894, -0.3767467246487223, -0.19479537588255158, 0.1846636499374591, 0.11928301863372326, 0.08469583386362627, -0.04844487433980123, -0.2612035247850521, 0.17610078455944514, -0.1542758677026321, -0.1856029343727077, -0.05545548163354397, 0.03878590297596208, 0.12925299828679399, -0.2918675962257488, 0.05923778679350327, 0.1113650762186996, 0.07987742289772322, -0.04392904550607862, -0.07729787019820049, -0.01638418291534843, 0.119814098603895, -0.06289215597870021, -0.08991231914240352, 0.02259000957590239, -0.11106826673293936, -0.13924208277001462, 0.2685400105627446, -0.144485787424291, -0.16122640476658426, 0.14914313623488978, -0.13518317820953912, -0.19003141035550628, 0.15083756297826767, 0.1638191449295344, 0.2601342150491887, -0.05933250602463196, 0.17593251759635992, -0.11337857030669292, 0.15871117353953165, 0.06470498362363412, 0.07215237991627434, 0.1398732197181932, 0.125315737701824, 0.17690354460400753, 0.22755161647138925, -0.017319801970031756, -0.08914074968097024, -0.33167996617226764, -0.11177359254838064, -0.23539023756467062, 0.0816338804775271, -0.1815170031843771, -0.36086985391789467, 0.4284873676068824, 0.06741622433965576, 0.1712945431856246, 0.17033085599541664, 0.14968320181400613, 0.15310995428469673, 0.008209881954826415, 0.09165151333757515, 0.11500695025034506, 0.24983462241703067, -0.002900972673348312, -0.18034669496761313, -0.015648151003225738, 0.13248727253060147] |
709.1262 | An O(2,n) formulation of invariant theory for elliptic Weyl group | In this paper, we give a new formulation of invariant theory for elliptic
Weyl group using the group O(2,n). As an elliptic Weyl group quotient, we
define a suitable $\C^*$-bundle. We show that it has a conformal Frobenius
structure which we define in this paper. Then its good section could be
identified with a Frobenius manifold which we constructed in
arXiv:math/0611553.
| math.AG math.RT | in this paper we give a new formulation of invariant theory for elliptic weyl group using the group o2n as an elliptic weyl group quotient we define a suitable cbundle we show that it has a conformal frobenius structure which we define in this paper then its good section could be identified with a frobenius manifold which we constructed in arxivmath0611553 | [['in', 'this', 'paper', 'we', 'give', 'a', 'new', 'formulation', 'of', 'invariant', 'theory', 'for', 'elliptic', 'weyl', 'group', 'using', 'the', 'group', 'o2n', 'as', 'an', 'elliptic', 'weyl', 'group', 'quotient', 'we', 'define', 'a', 'suitable', 'cbundle', 'we', 'show', 'that', 'it', 'has', 'a', 'conformal', 'frobenius', 'structure', 'which', 'we', 'define', 'in', 'this', 'paper', 'then', 'its', 'good', 'section', 'could', 'be', 'identified', 'with', 'a', 'frobenius', 'manifold', 'which', 'we', 'constructed', 'in', 'arxivmath0611553']] | [-0.18115942070726304, 0.05409578691299733, -0.18922145189717413, 0.044797678256873044, -0.13146718768402935, -0.12392701189188908, -0.032051908797196424, 0.3655713649156193, -0.3380835079898437, -0.22607153987822434, 0.07623826303558114, -0.2091197623560826, -0.23606622591614723, 0.14930988621587554, -0.14417529872929055, 0.00865767353582972, 0.02953950986848213, 0.13476354342419655, -0.1692993457079865, -0.2567743299800592, 0.4155864626246815, -0.0037177152155588073, 0.2067992145079188, 0.035062033663659044, 0.13427057983353735, -0.002296405293357869, 0.023403717096274097, 0.05591323987270395, -0.16408315629681358, 0.14384143541877467, 0.3203638411553887, 0.028712059961011012, 0.20369213479182993, -0.3637134108071526, -0.1486257236994182, 0.17043539793230594, 0.1592707668043052, 0.06410644123873983, -0.10213728732972717, -0.2851875643245876, 0.15645976252077767, -0.24052863695348303, -0.15028947254953284, -0.11088488458190113, -0.012504775915294886, -0.07665620232000947, -0.23537295579929682, -0.007279555491792659, 0.032044920263191064, 0.11199335076768573, -0.04087070112776322, -0.04406198430030296, -0.004025002444783847, 0.07064902915929755, 0.011998546464989582, 0.058782380753351994, 0.06028262118343264, -0.040548523305915296, -0.10838231369076917, 0.39046882273008426, -0.1119436304550618, -0.2429862599199017, 0.0688359456602484, -0.11677173576317727, -0.22886720083964368, 0.05063334417839845, 0.16194144593706974, 0.17633969707336897, -0.09544328474536694, 0.1533958993696918, -0.188090448671331, 0.07802822651962439, 0.03205310843574504, -0.013944585303155085, 0.1020690580829978, 0.12354931424682339, 0.10001995271692674, 0.14332174941082484, -0.015757831799176832, -0.010066425163919727, -0.39769845865666864, -0.26349099855870006, -0.11602291276212781, 0.14955820762552322, -0.06040074077124397, -0.1928228585825612, 0.42721056087563436, 0.09751390117332145, 0.22054805300819377, 0.08335749896941706, 0.18989522443929066, 0.13948917247471398, 0.09248944780168435, 0.09430598112133642, 0.1639079993745933, 0.1597775406514605, -0.014353025124485915, -0.15104104127676693, -0.08441190520146241, 0.18954542744904757] |
709.1263 | Enumerating the Nash equilibria of rank 1-games | A bimatrix game $(A,B)$ is called a game of rank $k$ if the rank of the
matrix $A+B$ is at most $k$. We consider the problem of enumerating the Nash
equilibria in (non-degenerate) games of rank 1. In particular, we show that
even for games of rank 1 not all equilibria can be reached by a Lemke-Howson
path and present a parametric simplex-type algorithm for enumerating all Nash
equilibria of a non-degenerate game of rank 1.
| cs.GT math.OC | a bimatrix game ab is called a game of rank k if the rank of the matrix ab is at most k we consider the problem of enumerating the nash equilibria in nondegenerate games of rank 1 in particular we show that even for games of rank 1 not all equilibria can be reached by a lemkehowson path and present a parametric simplextype algorithm for enumerating all nash equilibria of a nondegenerate game of rank 1 | [['a', 'bimatrix', 'game', 'ab', 'is', 'called', 'a', 'game', 'of', 'rank', 'k', 'if', 'the', 'rank', 'of', 'the', 'matrix', 'ab', 'is', 'at', 'most', 'k', 'we', 'consider', 'the', 'problem', 'of', 'enumerating', 'the', 'nash', 'equilibria', 'in', 'nondegenerate', 'games', 'of', 'rank', '1', 'in', 'particular', 'we', 'show', 'that', 'even', 'for', 'games', 'of', 'rank', '1', 'not', 'all', 'equilibria', 'can', 'be', 'reached', 'by', 'a', 'lemkehowson', 'path', 'and', 'present', 'a', 'parametric', 'simplextype', 'algorithm', 'for', 'enumerating', 'all', 'nash', 'equilibria', 'of', 'a', 'nondegenerate', 'game', 'of', 'rank', '1']] | [-0.17515222555467566, 0.05192343247931843, -0.10249128080536857, 0.0646016125193503, 0.029344652381137405, -0.22490151407270642, 0.10172503224365707, 0.38595902557043654, -0.2838128623506667, -0.22469419704161978, 0.09738714883324544, -0.2500070701598337, -0.18232856386978374, 0.05885871769370217, -0.08037484178662692, -0.01627396572669233, 0.0890063202057622, 0.10501441634015034, 0.003312647526495551, -0.31337281909317855, 0.38716067795298603, -0.06417404406544704, 0.10964690614491701, 0.026564685937237778, 0.11748389845812007, 0.0012718595956501208, 0.06483513138894188, 0.1251505898054395, -0.11644325358841008, 0.0720452729039703, 0.353075578833293, 0.24037611205130816, 0.3636224213987589, -0.3365040221741717, -0.11437405628078666, 0.25740903226266565, 0.09419384462709882, 0.09417558237940907, -0.0014075761857001406, -0.1693300951309012, 0.1811392002273351, -0.17165060118330935, -0.09939922939520329, -0.06215149511301302, 0.03796431829610619, 0.008623094293350158, -0.35754702267800703, -0.03899253893790668, 0.05428120163024256, 0.09950553184669268, -0.0634508214149575, -0.2157197193316135, -0.0006315024189749046, 0.07739593715431463, -0.06578393128706682, -0.025952552702572, 0.06007307557707751, -0.1773325564633859, -0.22863319472066665, 0.4152305363057071, -0.03219878718894171, -0.1480375239319217, 0.1192046518216988, -0.10827547623653357, -0.13890284945342787, 0.14520682899379417, 0.11502392526323858, 0.2310382635045435, -0.06657652119419684, 0.13450980968206605, -0.16076301735531734, 0.15350083841354048, 0.10144388535991311, -0.07887566194403917, 0.12590565480643004, 0.11069727253695753, 0.22855362250763728, 0.10556256406370697, 0.026468694926925787, -0.12975252565535667, -0.25075133555372686, -0.14708779814751133, -0.17232686551103957, 0.098450861445599, -0.10986761672182566, -0.18833244047862918, 0.4045352129461734, 0.0718332769925167, 0.09218830258683547, 0.15072381071207164, 0.23928751374937987, 0.08566289148783605, -0.08952752813255709, 0.1536591429091794, 0.1925875911685197, 0.1391615255055704, 0.01567388387200864, -0.17643787715535023, 0.07068064161208704, 0.12346616509909693] |
709.1264 | Discrete Monodromy, Pentagrams, and the Method of Condensation | This paper considers a simple geometric construction, called the Pentagram
map. The pentagram map, performed on N-gons, gives rise to a birational mapping
on the space of all N-gons. This paper finds what conjecturally are all the
invariants for this map, and along the way relates the construction to the
monodromy of 3rd order differential equations, and also to Dodgson's method of
condensation for computing determinants.
| math.MG | this paper considers a simple geometric construction called the pentagram map the pentagram map performed on ngons gives rise to a birational mapping on the space of all ngons this paper finds what conjecturally are all the invariants for this map and along the way relates the construction to the monodromy of 3rd order differential equations and also to dodgsons method of condensation for computing determinants | [['this', 'paper', 'considers', 'a', 'simple', 'geometric', 'construction', 'called', 'the', 'pentagram', 'map', 'the', 'pentagram', 'map', 'performed', 'on', 'ngons', 'gives', 'rise', 'to', 'a', 'birational', 'mapping', 'on', 'the', 'space', 'of', 'all', 'ngons', 'this', 'paper', 'finds', 'what', 'conjecturally', 'are', 'all', 'the', 'invariants', 'for', 'this', 'map', 'and', 'along', 'the', 'way', 'relates', 'the', 'construction', 'to', 'the', 'monodromy', 'of', '3rd', 'order', 'differential', 'equations', 'and', 'also', 'to', 'dodgsons', 'method', 'of', 'condensation', 'for', 'computing', 'determinants']] | [-0.1616114726798101, 0.006796932454700723, -0.09539057828034415, 0.07153744273995416, -0.10385950348537529, -0.11351044920527122, 0.006067327079080948, 0.28052553885870357, -0.31983366859794565, -0.26754401663713384, 0.09802982826350314, -0.269257635033379, -0.239693257393259, 0.20631134079656366, -0.15390754496735154, 0.03088646318594163, 0.013729250277251456, 0.0367813953621821, -0.1437392670336659, -0.2892763988347724, 0.38561295040276355, 0.026243236621446682, 0.2282980489121242, 0.029109412975341194, 0.17553846581810803, -0.003154312867219701, -0.04833935043125442, -0.039306053172560605, -0.1905974079431458, 0.1979184994530497, 0.2339392272953057, 0.11649216983862447, 0.13241657716306773, -0.3374065826223655, -0.10313643565115688, 0.16902612114790827, 0.14180705723860723, 0.1062135557700513, 0.009346854601365825, -0.24878541594300646, 0.030948578283035506, -0.12467692836159558, -0.143215213803518, -0.11215865679762581, 0.0261070066780755, -0.025192445595607613, -0.22511005024849015, -0.03605096204828993, 0.10678674764648984, 0.07414256245123618, -0.036004790577642394, -0.06260524105957964, -0.020757732687122894, 0.11094366076091926, -0.027355176802357717, 0.08851919765584171, 0.06433476216272649, -0.05737519135811564, -0.10284688593255299, 0.4114105321015372, -0.019719329953659326, -0.20943629428405652, 0.10637816487613952, -0.12665908782263147, -0.2128746905152432, 0.14813853889195758, 0.12618545417331695, 0.11160389523050099, -0.11382535890901857, 0.1228993510118347, -0.11059836411114896, 0.09301467603919181, 0.12127957543160653, -0.039050172732183426, 0.17117780133743177, 0.07390270466831597, 0.16238023580588173, 0.20426469301861344, -0.011714050623898705, -0.11078139220957052, -0.35326624531863315, -0.21680164071960573, -0.11657148129024515, 0.05116533343397984, -0.08654544948358582, -0.20916459904136983, 0.4616364817995804, 0.12797574197280814, 0.22683734373387063, 0.15343669017028966, 0.2430307923138819, 0.09591049401823318, 0.05691459541082044, 0.02279037203301083, 0.12680714653635566, 0.16915385317847584, 0.07317207893356681, -0.16206789296120405, -0.013221030201142034, 0.23968574514781887] |
709.1265 | NMR Study of Large Skyrmions in Al_{0.13}Ga_{0.87}As Quantum Wells | A nuclear magnetic resonance (NMR) study is reported of multiple (30)
Al$_{0.13}$Ga$_{0.87}$As quantum well (QW) sample near the Landau level filling
factor $\nu =1$. In these Al$_{0.13}$Ga$_{0.87}$As QWs the effective $g$ factor
is nearly zero. This can lead to two effects: vanishing electronic polarization
$(P)$ and skyrmionic excitations composed of a huge number of spins. As small
$P$ values cause an overlap of the NMR signals from the QW and barriers, a
special technique was employed to allow these two signals to be distinguished.
The QW signal corresponds to a small, negative, and very broad distribution of
spin polarization that exhibits thermally induced depolarization. Such a
distribution can be attributed to sample inhomogeneities and/or to large
skyrmions, the latter possibility being favored by observation of a very fast
$T_{2}^{-1}$ rate.
| cond-mat.mes-hall cond-mat.str-el | a nuclear magnetic resonance nmr study is reported of multiple 30 al_013ga_087as quantum well qw sample near the landau level filling factor nu 1 in these al_013ga_087as qws the effective g factor is nearly zero this can lead to two effects vanishing electronic polarization p and skyrmionic excitations composed of a huge number of spins as small p values cause an overlap of the nmr signals from the qw and barriers a special technique was employed to allow these two signals to be distinguished the qw signal corresponds to a small negative and very broad distribution of spin polarization that exhibits thermally induced depolarization such a distribution can be attributed to sample inhomogeneities andor to large skyrmions the latter possibility being favored by observation of a very fast t_21 rate | [['a', 'nuclear', 'magnetic', 'resonance', 'nmr', 'study', 'is', 'reported', 'of', 'multiple', '30', 'al_013ga_087as', 'quantum', 'well', 'qw', 'sample', 'near', 'the', 'landau', 'level', 'filling', 'factor', 'nu', '1', 'in', 'these', 'al_013ga_087as', 'qws', 'the', 'effective', 'g', 'factor', 'is', 'nearly', 'zero', 'this', 'can', 'lead', 'to', 'two', 'effects', 'vanishing', 'electronic', 'polarization', 'p', 'and', 'skyrmionic', 'excitations', 'composed', 'of', 'a', 'huge', 'number', 'of', 'spins', 'as', 'small', 'p', 'values', 'cause', 'an', 'overlap', 'of', 'the', 'nmr', 'signals', 'from', 'the', 'qw', 'and', 'barriers', 'a', 'special', 'technique', 'was', 'employed', 'to', 'allow', 'these', 'two', 'signals', 'to', 'be', 'distinguished', 'the', 'qw', 'signal', 'corresponds', 'to', 'a', 'small', 'negative', 'and', 'very', 'broad', 'distribution', 'of', 'spin', 'polarization', 'that', 'exhibits', 'thermally', 'induced', 'depolarization', 'such', 'a', 'distribution', 'can', 'be', 'attributed', 'to', 'sample', 'inhomogeneities', 'andor', 'to', 'large', 'skyrmions', 'the', 'latter', 'possibility', 'being', 'favored', 'by', 'observation', 'of', 'a', 'very', 'fast', 't_21', 'rate']] | [-0.1723826203688077, 0.2313059120762091, -0.04633938468032284, 0.06332089416991948, -0.05435527926238137, -0.1680936701814062, 0.05976472516886133, 0.3672280996834161, -0.27267100142489653, -0.3456623269303236, 0.028602267956557625, -0.2627320287956536, -0.06740236468067451, 0.18474537645670353, 0.025658977907369263, 0.023493530391647255, -0.008921940112486482, -0.0018212328468507621, -0.038503811845657765, -0.17084401495958446, 0.2647444161510748, 0.061859924021518964, 0.28029131786024664, 0.05410295067849802, 0.04635965315173962, -0.024075888039078563, 0.05778623148171391, 0.039343969095170905, -0.0914655086267544, 0.04048928558040643, 0.27758780561271124, -0.021419807865640905, 0.2195688743086066, -0.38681719058456565, -0.16448759767627052, 0.10695836394734215, 0.15175774088856997, 0.17265489121928113, -0.050562396783789154, -0.285295415008477, 0.07461640856035956, -0.14879187964470475, -0.1377786179400573, -0.06398039838313707, 0.016568479608395137, -0.03236525984721084, -0.26624000509036705, 0.11137274375755624, 0.06777146788681421, 0.04495887694793055, -0.04192246597085614, -0.15535372283011384, -0.008149542163664591, 0.09753944882322685, 0.04846404733325471, 0.06028831933440415, 0.19009331082634162, -0.10471191398755764, -0.1304247573716566, 0.3350577444798546, -0.08256244991389394, -0.14050003914053377, 0.1617217707062082, -0.228883295221749, -0.05078791015694151, 0.2143871111666158, 0.15962027741124984, 0.11879816334840143, -0.10435074228166741, 0.04438428101229874, 0.010365054444264388, 0.1848416561670092, 0.0639238285493775, 0.07487157720242976, 0.24430619522900088, 0.127929934176791, 0.04972893887497776, 0.12917229546837916, -0.16678023791973828, -0.04999550592765445, -0.23555651605101957, -0.10531853395195867, -0.22560815960969194, 0.13764947571871744, -0.07318627579263648, -0.16568440342780377, 0.4067660634382264, 0.060292432510323124, 0.250296489775792, -0.06088110527161916, 0.2186208188177261, 0.12099139386828028, 0.11335661389966845, 0.0130389371356614, 0.22800333714803855, 0.20742115151551843, 0.06424821591281216, -0.2651469906541024, 0.06323663581497385, -0.07823105649731588] |
709.1266 | The LU-LC conjecture is false | The LU-LC conjecture is an important open problem concerning the structure of
entanglement of states described in the stabilizer formalism. It states that
two local unitary equivalent stabilizer states are also local Clifford
equivalent. If this conjecture were true, the local equivalence of stabilizer
states would be extremely easy to characterize. Unfortunately, however, based
on the recent progress made by Gross and Van den Nest, we find that the
conjecture is false.
| quant-ph | the lulc conjecture is an important open problem concerning the structure of entanglement of states described in the stabilizer formalism it states that two local unitary equivalent stabilizer states are also local clifford equivalent if this conjecture were true the local equivalence of stabilizer states would be extremely easy to characterize unfortunately however based on the recent progress made by gross and van den nest we find that the conjecture is false | [['the', 'lulc', 'conjecture', 'is', 'an', 'important', 'open', 'problem', 'concerning', 'the', 'structure', 'of', 'entanglement', 'of', 'states', 'described', 'in', 'the', 'stabilizer', 'formalism', 'it', 'states', 'that', 'two', 'local', 'unitary', 'equivalent', 'stabilizer', 'states', 'are', 'also', 'local', 'clifford', 'equivalent', 'if', 'this', 'conjecture', 'were', 'true', 'the', 'local', 'equivalence', 'of', 'stabilizer', 'states', 'would', 'be', 'extremely', 'easy', 'to', 'characterize', 'unfortunately', 'however', 'based', 'on', 'the', 'recent', 'progress', 'made', 'by', 'gross', 'and', 'van', 'den', 'nest', 'we', 'find', 'that', 'the', 'conjecture', 'is', 'false']] | [-0.12116817915294734, 0.13428397507575734, -0.10773789257897685, 0.11403014766498624, 0.002569022979716667, -0.2066659434284601, 0.022898969298694283, 0.3202446498390701, -0.26830300631829435, -0.2638070022609706, 0.08547835908151076, -0.21797138251066725, -0.17025297517991728, 0.18298673853536862, -0.13237232183261463, 0.09462773415725678, 0.09359887070927976, 0.011086462369550847, -0.06075045746466559, -0.3715012227540784, 0.35444896573769963, 0.05612365032235781, 0.29004480703992563, 0.09840838226308632, 0.039275465374683134, 0.027824185277697526, -0.004463395517733362, 0.006054202665432563, -0.09749893931216826, 0.1464471686324234, 0.2738871907349676, 0.1352111271634284, 0.24275859445010106, -0.4306928904520141, -0.13688612577647696, 0.10719076965405192, 0.08416115662678042, 0.1532580222766329, -0.004400564094087006, -0.31858626367627746, 0.11116193788540032, -0.1621736893365677, -0.16599754591394836, -0.09405042489136879, 0.09034982710404114, -0.09113628559053824, -0.18748132907542944, 0.08263275426603893, 0.11111251954247968, 0.0328166285633213, -0.05350150629076072, -0.06290024526080945, -0.03658543860203483, 0.12394393247733307, -0.05628301496229445, 0.022099213480638962, 0.11907295326495336, -0.08736812468850985, -0.1334118098537955, 0.3061227411704345, -0.0037937577322332394, -0.16514211651843247, 0.1706132374787962, -0.07217811910150987, -0.18424872520942395, 0.04922136121119062, 0.020596363284211192, 0.08599745536533494, -0.0834961665879948, 0.17633108004287756, -0.13366492265938884, 0.12148771282873996, 0.09874050533431324, 0.044718661060970694, 0.173206709037509, 9.8663123531474e-05, 0.10339859195260538, 0.12889501227214673, 0.01317716583596646, -0.07721561930763225, -0.29315761724622763, -0.20694627121909231, -0.19735612043748713, 0.15740163563491982, 0.013766633728462492, -0.19483158707670453, 0.3828093735759871, 0.12109687460017288, 0.16601245978381485, 0.038988149505005114, 0.1935877732563919, 0.05884151849184289, 0.04038193555445307, 0.10205745240414722, 0.26858483428238994, 0.2295008606549042, -0.06015539802481524, -0.1960937235530259, 0.08949302841372425, 0.09744288908162464] |
709.1267 | A Survey of Local Group Galaxies Currently Forming Stars: III. A Search
for Luminous Blue Variables and Other H-alpha Emission-Lined Stars | We describe a search for H-alpha emission-lined stars in M31, M33, and seven
dwarfs in or near the Local Group (IC 10, NGC 6822, WLM, Sextans B, Sextans A,
Pegasus and the Phoenix dwarf) using interference filter imaging with the KPNO
and CTIO 4-m telescope and Mosaic cameras. The survey is aimed primarily at
identifying new Luminous Blue Variables (LBVs) from their spectroscopic
similarity to known LBVs, avoiding the bias towards photometric variability,
which may require centuries to manifest itself if LBVs go through long
quiescent periods. Followup spectroscopy with WIYN confirms that our survey
detected a wealth of stars whose spectra are similar to the known LBVs. We
"classify" the spectra of known LBVs, and compare these to the spectra of the
new LBV candidates. We demonstrate spectacular spectral variability for several
of the new LBV candidates, such as AM2, previously classified as a Wolf-Rayet
star, which now shows FeI, FeII and Balmer emission lines but neither the NIII
4634,42 nor HeII 4686 emission that it did in 1982. Profound spectral changes
are also noted for other suspected and known LBVs. Several of the LBV
candidates also show >0.5 mag changes in V over the past 10-20 years. The
number of known or suspected LBVs is now 24 in M31, 37 in M33, 1 in NGC 6822,
and 3 in IC 10. We estimate that the total number of LBVs in M31 and M33 may be
several hundred, in contrast to the 8 known historically through large-scale
photometric variability. This has significant implications for the time scale
of the LBV phase. We also identify a few new WRs and peculiar emission-lined
objects.
| astro-ph | we describe a search for halpha emissionlined stars in m31 m33 and seven dwarfs in or near the local group ic 10 ngc 6822 wlm sextans b sextans a pegasus and the phoenix dwarf using interference filter imaging with the kpno and ctio 4m telescope and mosaic cameras the survey is aimed primarily at identifying new luminous blue variables lbvs from their spectroscopic similarity to known lbvs avoiding the bias towards photometric variability which may require centuries to manifest itself if lbvs go through long quiescent periods followup spectroscopy with wiyn confirms that our survey detected a wealth of stars whose spectra are similar to the known lbvs we classify the spectra of known lbvs and compare these to the spectra of the new lbv candidates we demonstrate spectacular spectral variability for several of the new lbv candidates such as am2 previously classified as a wolfrayet star which now shows fei feii and balmer emission lines but neither the niii 463442 nor heii 4686 emission that it did in 1982 profound spectral changes are also noted for other suspected and known lbvs several of the lbv candidates also show 05 mag changes in v over the past 1020 years the number of known or suspected lbvs is now 24 in m31 37 in m33 1 in ngc 6822 and 3 in ic 10 we estimate that the total number of lbvs in m31 and m33 may be several hundred in contrast to the 8 known historically through largescale photometric variability this has significant implications for the time scale of the lbv phase we also identify a few new wrs and peculiar emissionlined objects | [['we', 'describe', 'a', 'search', 'for', 'halpha', 'emissionlined', 'stars', 'in', 'm31', 'm33', 'and', 'seven', 'dwarfs', 'in', 'or', 'near', 'the', 'local', 'group', 'ic', '10', 'ngc', '6822', 'wlm', 'sextans', 'b', 'sextans', 'a', 'pegasus', 'and', 'the', 'phoenix', 'dwarf', 'using', 'interference', 'filter', 'imaging', 'with', 'the', 'kpno', 'and', 'ctio', '4m', 'telescope', 'and', 'mosaic', 'cameras', 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709.1268 | Tensor-product vs. geometric-product coding | Quantum computation is based on tensor products and entangled states. We
discuss an alternative to the quantum framework where tensor products are
replaced by geometric products and entangled states by multivectors. The
resulting theory is analogous to quantum computation but does not involve
quantum mechanics. We discuss in detail similarities and differences between
the two approaches and illustrate the formulas by explicit geometric objects
where multivector versions of the Bell-basis, GHZ, and Hadamard states are
visualized by means of colored oriented polylines.
| quant-ph | quantum computation is based on tensor products and entangled states we discuss an alternative to the quantum framework where tensor products are replaced by geometric products and entangled states by multivectors the resulting theory is analogous to quantum computation but does not involve quantum mechanics we discuss in detail similarities and differences between the two approaches and illustrate the formulas by explicit geometric objects where multivector versions of the bellbasis ghz and hadamard states are visualized by means of colored oriented polylines | [['quantum', 'computation', 'is', 'based', 'on', 'tensor', 'products', 'and', 'entangled', 'states', 'we', 'discuss', 'an', 'alternative', 'to', 'the', 'quantum', 'framework', 'where', 'tensor', 'products', 'are', 'replaced', 'by', 'geometric', 'products', 'and', 'entangled', 'states', 'by', 'multivectors', 'the', 'resulting', 'theory', 'is', 'analogous', 'to', 'quantum', 'computation', 'but', 'does', 'not', 'involve', 'quantum', 'mechanics', 'we', 'discuss', 'in', 'detail', 'similarities', 'and', 'differences', 'between', 'the', 'two', 'approaches', 'and', 'illustrate', 'the', 'formulas', 'by', 'explicit', 'geometric', 'objects', 'where', 'multivector', 'versions', 'of', 'the', 'bellbasis', 'ghz', 'and', 'hadamard', 'states', 'are', 'visualized', 'by', 'means', 'of', 'colored', 'oriented', 'polylines']] | [-0.09982568749812966, 0.2153324006629679, -0.0810948419838962, 0.08584363541846936, -0.028637111970655073, -0.1543902000185193, -0.003503343560335385, 0.38483525485527226, -0.25925082231803637, -0.26917168786522094, 0.09723408653531451, -0.26662636707854886, -0.20044898391678567, 0.18583820385449543, -0.0795303450529279, 0.05537968128067782, 0.06294744027914798, 0.030729263106633615, -0.10435563029448797, -0.2248160053816874, 0.3694992031285925, -0.002336637281653721, 0.2645079040695436, 0.049241266102620924, 0.10416124063606443, 0.035799427747317564, -0.06262311266121887, 0.01865115670896158, -0.10316479152136641, 0.17178358812319547, 0.2587875558529049, 0.12248530947012691, 0.1807127216853565, -0.47921001570435556, -0.13897753142320166, 0.08624355391621953, 0.09592972362695103, 0.11446801970553834, 0.008472697518300265, -0.34258249456562645, 0.057198829653604726, -0.17865113664287846, -0.0715014612665627, -0.16975294531709173, 0.00708722677536127, -0.03410251846923152, -0.19559811749041262, 0.06959253970942483, 0.046240537018492456, 0.041790917106881376, -0.0030491959173005166, -0.11385356428147089, 0.005380596829260268, 0.09829447897741707, -0.05775383218168849, -0.06739964867692168, 0.12796227276188935, -0.13482160659552347, -0.22918659390132057, 0.35697118679583983, -0.005861661788757618, -0.258714312414934, 0.1558475968592641, -0.05092620192572656, -0.1089770737240409, 0.023312426762791667, 0.0832581803679648, 0.12702566609013735, -0.09267735287047378, 0.12150017546827724, 0.008018565920704022, 0.09998301765881479, 0.09692971543522506, 0.09940588056882162, 0.2031421261135398, -0.017993640015469638, 0.03180360154067052, 0.21350906586001922, -0.0018054926625975386, -0.2217324220052943, -0.3345726997954998, -0.23385152505872567, -0.2111659045785484, 0.08658260132328795, -0.07495133980605383, -0.1341100872335274, 0.3843208783442473, 0.061626298531958064, 0.17105475681544305, 0.01501140225019942, 0.28352728440630726, 0.10753338568185161, 0.04728429903852663, 0.0796309142464363, 0.20228318940484669, 0.22873391705088136, 0.022128749485468356, -0.14015906954911062, 0.03912210071646813, 0.10576619097690393] |
709.1269 | A criterion for the half-plane property | We establish a convenient necessary and sufficient condition for a
multiaffine real polynomial to be stable, and use it to verify that the
half-plane property holds for seven small matroids that resisted the efforts of
Choe, Oxley, Sokal, and Wagner [5].
| math.CO | we establish a convenient necessary and sufficient condition for a multiaffine real polynomial to be stable and use it to verify that the halfplane property holds for seven small matroids that resisted the efforts of choe oxley sokal and wagner 5 | [['we', 'establish', 'a', 'convenient', 'necessary', 'and', 'sufficient', 'condition', 'for', 'a', 'multiaffine', 'real', 'polynomial', 'to', 'be', 'stable', 'and', 'use', 'it', 'to', 'verify', 'that', 'the', 'halfplane', 'property', 'holds', 'for', 'seven', 'small', 'matroids', 'that', 'resisted', 'the', 'efforts', 'of', 'choe', 'oxley', 'sokal', 'and', 'wagner', '5']] | [-0.13560427502706285, 0.053955530952207925, -0.06847953687353832, 0.11399950200646389, -0.14852031879127026, -0.18770855926431534, 0.03938903153601398, 0.34673177787080045, -0.2390129476581223, -0.22284691098214285, 0.15554816192924614, -0.17860009543961142, -0.18639130119188893, 0.2410705901182643, -0.08458391097147108, 0.10477447289428334, 0.0562471250617286, -0.01534868385529191, -0.017200199126197798, -0.3528459848063748, 0.2685272327805983, -0.004692599438585159, 0.21529502213205687, 0.13974469578711363, 0.12293532406684102, 0.009633390289708608, 0.018438126375080972, 0.0287321005470869, -0.21802074131846894, 0.09228882416884028, 0.2550766886007495, 0.15440538216654848, 0.27301162199639695, -0.41385187744730856, -0.10490177260575498, 0.1814095402000154, 0.06608110547588184, 0.03899493442121439, -0.02264004325630461, -0.23445311336346517, 0.20066262186482187, -0.1280625037303785, -0.21853991204918158, -0.14808378457205323, 0.12418833138739191, -0.023257294624316985, -0.3430683408386824, -0.002022145861169187, 0.15320986191310534, 0.09853296887084115, -0.059108224674695876, -0.08542903521802367, -0.01727098708109158, 0.13231016148063468, -0.028471526757972997, 0.033774044637272994, -0.008091885380719492, -0.0332717503159784, -0.08077086497200425, 0.3399032095401752, -0.012564067251798584, -0.1960975122524471, 0.1974101396413838, -0.132907227428471, -0.19154040659238333, 0.1075389485965233, 0.07051182947144276, 0.12404869024346514, -0.10780480836813407, 0.11963862098509265, -0.13887462074436793, 0.1114195492118597, 0.16440987291677697, -0.03760284823706237, 0.07412266349647104, 0.051458004294190465, 0.13497839525069405, 0.1519744150119084, 0.023845262200821463, -0.02473843799585976, -0.28282923017991934, -0.20900782338547996, -0.1546665383275689, 0.07314640647027551, -0.08146188077523953, -0.14642507573816835, 0.3222264194543042, 0.13070948590047476, 0.1508116082674483, 0.1524609665545385, 0.21858190056845184, 0.05214865282376683, 0.03985222254130172, 0.07244298473091387, 0.22727263055560065, 0.2347794897718037, 0.08244322801417694, -0.10567098456185038, 0.06657998088928985, 0.08771387228057947] |
709.127 | Divergence of a stationary random vector field can be always positive (a
Weiss' phenomenon) | The divergence of a stationary random vector field at a given point is
usually a centered (that is, zero mean) random variable. Strangely enough, it
can be equal to 1 almost surely. This fact is another form of a phenomenon
disclosed by B. Weiss in 1997.
| math.PR | the divergence of a stationary random vector field at a given point is usually a centered that is zero mean random variable strangely enough it can be equal to 1 almost surely this fact is another form of a phenomenon disclosed by b weiss in 1997 | [['the', 'divergence', 'of', 'a', 'stationary', 'random', 'vector', 'field', 'at', 'a', 'given', 'point', 'is', 'usually', 'a', 'centered', 'that', 'is', 'zero', 'mean', 'random', 'variable', 'strangely', 'enough', 'it', 'can', 'be', 'equal', 'to', '1', 'almost', 'surely', 'this', 'fact', 'is', 'another', 'form', 'of', 'a', 'phenomenon', 'disclosed', 'by', 'b', 'weiss', 'in', '1997']] | [-0.15028410097179207, 0.23200530939452027, -0.15435320569161812, 0.06662167037290562, -0.07941418959070808, -0.17698799272108337, 0.08367319405078888, 0.34699275854813016, -0.29623770632821583, -0.19731392023032127, 0.1226585608294598, -0.28480583875764, -0.15206531117386793, 0.1157384562994475, -0.09423808054998517, -0.002657151133145975, 0.010808600844187744, 0.13987499595943675, -0.013839644354606129, -0.30509531380527694, 0.2722069543720547, 0.016179221892936923, 0.2568388217047829, -0.02351828734137361, 0.11418004708526575, -0.007662688685662072, 0.017452613746686635, 0.07371732826172576, -0.07053071771240313, 0.05125222705385607, 0.18846162961310017, 0.07847728300839663, 0.3566804685346458, -0.2421670647935294, -0.20615951004235641, 0.1532678330499355, 0.13729947687977034, 0.08033433566679773, 0.008252811253718708, -0.22312324614588008, 0.1718340911700026, -0.08663624873303849, -0.21141406801610213, -0.027332891548133415, 0.08116547902286782, 0.018282794545445104, -0.33616592733027495, 0.08065770086629884, 0.1601575483446536, 0.08586164416097429, 0.008517682931952826, -0.09811225272310169, 0.010291307354750841, 0.08126526216611914, 0.061368798933234874, 0.16343424851378507, 0.08020697222293718, -0.07584989562367453, -0.0812271488374909, 0.3481629441249306, -0.10779812049282633, -0.21587874009571312, 0.15406971155544338, -0.19920557076313897, -0.07507410119085209, 0.18692555335228858, 0.09600349179590525, 0.11731101262747594, -0.17953771960152232, 0.12480118412160031, -0.0985103178334058, 0.13086899511741332, 0.08950127244157635, -0.04251351022242528, 0.2214483968184694, 0.06543056974592416, 0.11845712374855319, 0.11209999382971665, -0.05733549206153206, -0.10920544399920365, -0.33334409623690275, -0.12459580545597103, -0.2960065810576729, 0.16162520797882715, -0.0782184130107255, -0.22204067266505698, 0.31930866988841444, 0.09526884178226085, 0.2418579446182222, 0.019905254001850666, 0.23001637536546457, 0.16861734448162757, 0.025677070189925398, 0.12260628537193913, 0.20244911379869218, 0.1668725072902263, 0.10963380264887668, -0.07785040095610463, 0.08767123647924999, 0.03794012145827646] |
709.1271 | On the distance of PG 1553+11. A lineless BL Lac object active in the
TeV band | Context: The redshift of PG 1553+11, a bright BL Lac object (V~14), is still
unknown. It has been recently observed in the TeV band, a fact that offers an
upper limit for the redshift z<0.4. Aims: We intend to provide a lower limit
for the distance of the object. Methods: We used a chi^2 procedure to constrain
the apparent magnitude of the host galaxy in archived HST images. Supposing
that the host galaxy is typical of BL Lac objects (M_{R} -22.8), a lower limit
to the distance can be obtained from the limit on the apparent magnitude of the
host galaxy. Results: Using the 3 sigma limit on the host galaxy magnitude, the
redshift is found to be greater or equal to 0.25. Conlusions: The redshift of
PG 1553+11 is probably in the range z=0.3-0.4, making this object the most
distant extragalactic source so far detected in the TeV energies. We suggest
that other bright BL Lac objects of unknown redshift and similar spectroscopic
characteristics may be interesting targets for TeV observations.
| astro-ph | context the redshift of pg 155311 a bright bl lac object v14 is still unknown it has been recently observed in the tev band a fact that offers an upper limit for the redshift z04 aims we intend to provide a lower limit for the distance of the object methods we used a chi2 procedure to constrain the apparent magnitude of the host galaxy in archived hst images supposing that the host galaxy is typical of bl lac objects m_r 228 a lower limit to the distance can be obtained from the limit on the apparent magnitude of the host galaxy results using the 3 sigma limit on the host galaxy magnitude the redshift is found to be greater or equal to 025 conlusions the redshift of pg 155311 is probably in the range z0304 making this object the most distant extragalactic source so far detected in the tev energies we suggest that other bright bl lac objects of unknown redshift and similar spectroscopic characteristics may be interesting targets for tev observations | [['context', 'the', 'redshift', 'of', 'pg', '155311', 'a', 'bright', 'bl', 'lac', 'object', 'v14', 'is', 'still', 'unknown', 'it', 'has', 'been', 'recently', 'observed', 'in', 'the', 'tev', 'band', 'a', 'fact', 'that', 'offers', 'an', 'upper', 'limit', 'for', 'the', 'redshift', 'z04', 'aims', 'we', 'intend', 'to', 'provide', 'a', 'lower', 'limit', 'for', 'the', 'distance', 'of', 'the', 'object', 'methods', 'we', 'used', 'a', 'chi2', 'procedure', 'to', 'constrain', 'the', 'apparent', 'magnitude', 'of', 'the', 'host', 'galaxy', 'in', 'archived', 'hst', 'images', 'supposing', 'that', 'the', 'host', 'galaxy', 'is', 'typical', 'of', 'bl', 'lac', 'objects', 'm_r', '228', 'a', 'lower', 'limit', 'to', 'the', 'distance', 'can', 'be', 'obtained', 'from', 'the', 'limit', 'on', 'the', 'apparent', 'magnitude', 'of', 'the', 'host', 'galaxy', 'results', 'using', 'the', '3', 'sigma', 'limit', 'on', 'the', 'host', 'galaxy', 'magnitude', 'the', 'redshift', 'is', 'found', 'to', 'be', 'greater', 'or', 'equal', 'to', '025', 'conlusions', 'the', 'redshift', 'of', 'pg', '155311', 'is', 'probably', 'in', 'the', 'range', 'z0304', 'making', 'this', 'object', 'the', 'most', 'distant', 'extragalactic', 'source', 'so', 'far', 'detected', 'in', 'the', 'tev', 'energies', 'we', 'suggest', 'that', 'other', 'bright', 'bl', 'lac', 'objects', 'of', 'unknown', 'redshift', 'and', 'similar', 'spectroscopic', 'characteristics', 'may', 'be', 'interesting', 'targets', 'for', 'tev', 'observations']] | [-0.041307720100684536, 0.08209025795050755, -0.08027149491023183, 0.14092367699153588, -0.1513541735475883, -0.09600370425808553, 0.05975348848040171, 0.44576947925989296, -0.14565918959713253, -0.3902713520718472, 0.06103234660224102, -0.3012053038470358, 0.010120750043175317, 0.21923656597971872, -0.05563082243038696, -0.026015844516916246, 0.04185599513584748, -0.023325510945142014, -0.021724343577304916, -0.26772500883366557, 0.24458575476559677, 0.08351075369864702, 0.20082685647122117, -0.036348630097650346, 0.10342058900832421, -0.07381553458426857, -0.05466130474607261, -0.014568467730506589, -0.13992216386287465, 0.054494281919254546, 0.2644663496272794, 0.07845248745260983, 0.20416810118781759, -0.2480263979440289, -0.189550930613699, 0.133191630526978, 0.2026257403666109, 0.06302426574707386, -0.02821477688156024, -0.31907318750884206, 0.09858739519941515, -0.16728271464706354, -0.18767531017129796, 0.09581937229016885, 0.06610189261638359, -0.02544565122142168, -0.18081008576943228, 0.14577693846409343, 0.020557087610497893, 0.05448649964455399, -0.11994315253243604, -0.1138400120682837, -0.07319886703598535, 0.08484272618495327, 0.059517547518702314, 0.07782798812037245, 0.1288085849567627, -0.16023106850445315, -0.06789157438712816, 0.41491663447093396, -0.02369436783538688, -0.02856001173633905, 0.23128042771713808, -0.1932502687254566, -0.19279074114248423, 0.1159020008275374, 0.15283117576646396, 0.1417083661570879, -0.17795667031757711, 0.06518267046825106, -0.04419064167970126, 0.24804578095513752, 0.008285943568418068, 0.10398231561529905, 0.2930515785147214, 0.14244537105384683, 0.06065725829518799, 0.1053458330733563, -0.25617656734539196, 0.056898049203612446, -0.25268466434984777, -0.0714802857726768, -0.1972521212557608, 0.10571301302462373, -0.13475411722893546, -0.07796508823854051, 0.3785807444780533, 0.16637442469488764, 0.2313065632562419, 0.05547207749831224, 0.2669461621636791, 0.11508853963044073, 0.13120104601451507, 0.0839573215953784, 0.3981888303671786, 0.08626141713050726, 0.05497251250337632, -0.1552690717189329, 0.0537643691031484, 0.028833660699005816] |
709.1272 | A Class of Parallel Tiled Linear Algebra Algorithms for Multicore
Architectures | As multicore systems continue to gain ground in the High Performance
Computing world, linear algebra algorithms have to be reformulated or new
algorithms have to be developed in order to take advantage of the architectural
features on these new processors. Fine grain parallelism becomes a major
requirement and introduces the necessity of loose synchronization in the
parallel execution of an operation. This paper presents an algorithm for the
Cholesky, LU and QR factorization where the operations can be represented as a
sequence of small tasks that operate on square blocks of data. These tasks can
be dynamically scheduled for execution based on the dependencies among them and
on the availability of computational resources. This may result in an out of
order execution of the tasks which will completely hide the presence of
intrinsically sequential tasks in the factorization. Performance comparisons
are presented with the LAPACK algorithms where parallelism can only be
exploited at the level of the BLAS operations and vendor implementations.
| cs.MS cs.DC | as multicore systems continue to gain ground in the high performance computing world linear algebra algorithms have to be reformulated or new algorithms have to be developed in order to take advantage of the architectural features on these new processors fine grain parallelism becomes a major requirement and introduces the necessity of loose synchronization in the parallel execution of an operation this paper presents an algorithm for the cholesky lu and qr factorization where the operations can be represented as a sequence of small tasks that operate on square blocks of data these tasks can be dynamically scheduled for execution based on the dependencies among them and on the availability of computational resources this may result in an out of order execution of the tasks which will completely hide the presence of intrinsically sequential tasks in the factorization performance comparisons are presented with the lapack algorithms where parallelism can only be exploited at the level of the blas operations and vendor implementations | [['as', 'multicore', 'systems', 'continue', 'to', 'gain', 'ground', 'in', 'the', 'high', 'performance', 'computing', 'world', 'linear', 'algebra', 'algorithms', 'have', 'to', 'be', 'reformulated', 'or', 'new', 'algorithms', 'have', 'to', 'be', 'developed', 'in', 'order', 'to', 'take', 'advantage', 'of', 'the', 'architectural', 'features', 'on', 'these', 'new', 'processors', 'fine', 'grain', 'parallelism', 'becomes', 'a', 'major', 'requirement', 'and', 'introduces', 'the', 'necessity', 'of', 'loose', 'synchronization', 'in', 'the', 'parallel', 'execution', 'of', 'an', 'operation', 'this', 'paper', 'presents', 'an', 'algorithm', 'for', 'the', 'cholesky', 'lu', 'and', 'qr', 'factorization', 'where', 'the', 'operations', 'can', 'be', 'represented', 'as', 'a', 'sequence', 'of', 'small', 'tasks', 'that', 'operate', 'on', 'square', 'blocks', 'of', 'data', 'these', 'tasks', 'can', 'be', 'dynamically', 'scheduled', 'for', 'execution', 'based', 'on', 'the', 'dependencies', 'among', 'them', 'and', 'on', 'the', 'availability', 'of', 'computational', 'resources', 'this', 'may', 'result', 'in', 'an', 'out', 'of', 'order', 'execution', 'of', 'the', 'tasks', 'which', 'will', 'completely', 'hide', 'the', 'presence', 'of', 'intrinsically', 'sequential', 'tasks', 'in', 'the', 'factorization', 'performance', 'comparisons', 'are', 'presented', 'with', 'the', 'lapack', 'algorithms', 'where', 'parallelism', 'can', 'only', 'be', 'exploited', 'at', 'the', 'level', 'of', 'the', 'blas', 'operations', 'and', 'vendor', 'implementations']] | [-0.15519135045232596, 0.039562902062176296, -0.08580519896242078, 0.010103951592032832, -0.07875708346312613, -0.14267582977679272, 0.03636058661684302, 0.41923347094820607, -0.3127396414918756, -0.3611560624357267, 0.14819108379679952, -0.18660283083510068, -0.1020349818756114, 0.19673859610159042, -0.10404125304984642, 0.07433629630458323, 0.10335422037054359, 0.020947695566042337, -0.07965292418116911, -0.32431745947982515, 0.26674895086268213, 0.08663626845328161, 0.2611261583565746, 0.026344956118716963, 0.06270353674075141, -0.02657207367757772, -0.0011593529143957076, 0.003323747293540725, -0.009001220790836399, 0.13922291460596484, 0.31711079530348935, 0.18790967278412463, 0.3040672325799357, -0.4747093910880295, -0.11469386824561904, 0.08933665707382592, 0.16796285420926402, 0.06834822525428379, 0.010305129161915156, -0.2612603420181844, 0.10994916540903994, -0.16813868825484848, -0.022491828820173754, -0.14868799475148137, -0.03736924555800843, 0.01360865404403964, -0.2631192438022009, -0.02671177507619615, 0.06167583544968547, 0.052459469587501875, 0.026013209540569397, -0.12627262722148938, 0.041692879467765676, 0.14971673276913525, -0.007668808079612108, -0.006377032735739995, 0.14226369561633256, -0.13152916776591245, -0.1985023664339319, 0.4189182498871728, 0.0018105172427488997, -0.19534720775863892, 0.19174960212218634, -0.042797484611201295, -0.19163118530622464, 0.10038959501962606, 0.2437057157886433, 0.0626714663453584, -0.14201784957441743, 0.08041936844259638, 0.023732595841319842, 0.19476289981056327, 0.05711436427678384, 0.06705077887616223, 0.18940037553037667, 0.2084237286263364, 0.06906339025015679, 0.13237292020377578, -0.04396057043696702, -0.08707863338763056, -0.2368417408656513, -0.1814239007524318, -0.18848594915075803, -0.013461412103087813, -0.10553194686840864, -0.1557846673430852, 0.3597400956154789, 0.16874384415051383, 0.1822353395070007, 0.07363524313135443, 0.36683459485662573, 0.0917023530209805, 0.1751585247018087, 0.14564630498658337, 0.1641731945593715, 0.05084056372432337, 0.13372972574843853, -0.20618265479900816, 0.08350307242042977, 0.02588719162331135] |
709.1273 | (GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F | Let F be an arbitrary local field. Consider the standard embedding of GL(n,F)
into GL(n+1,F) and the two-sided action of GL(n,F) \times GL(n,F) on GL(n+1,F).
In this paper we show that any GL(n,F) \times GL(n,F)-invariant distribution
on GL(n+1,F) is invariant with respect to transposition.
We show that this implies that the pair (GL(n+1,F),GL(n,F)) is a Gelfand
pair. Namely, for any irreducible admissible representation $(\pi,E)$ of
(GL(n+1,F), $$dimHom_{GL(n,F)}(E,\cc) \leq 1.$$
For the proof in the archimedean case we develop several new tools to study
invariant distributions on smooth manifolds.
| math.RT | let f be an arbitrary local field consider the standard embedding of glnf into gln1f and the twosided action of glnf times glnf on gln1f in this paper we show that any glnf times glnfinvariant distribution on gln1f is invariant with respect to transposition we show that this implies that the pair gln1fglnf is a gelfand pair namely for any irreducible admissible representation pie of gln1f dimhom_glnfecc leq 1 for the proof in the archimedean case we develop several new tools to study invariant distributions on smooth manifolds | [['let', 'f', 'be', 'an', 'arbitrary', 'local', 'field', 'consider', 'the', 'standard', 'embedding', 'of', 'glnf', 'into', 'gln1f', 'and', 'the', 'twosided', 'action', 'of', 'glnf', 'times', 'glnf', 'on', 'gln1f', 'in', 'this', 'paper', 'we', 'show', 'that', 'any', 'glnf', 'times', 'glnfinvariant', 'distribution', 'on', 'gln1f', 'is', 'invariant', 'with', 'respect', 'to', 'transposition', 'we', 'show', 'that', 'this', 'implies', 'that', 'the', 'pair', 'gln1fglnf', 'is', 'a', 'gelfand', 'pair', 'namely', 'for', 'any', 'irreducible', 'admissible', 'representation', 'pie', 'of', 'gln1f', 'dimhom_glnfecc', 'leq', '1', 'for', 'the', 'proof', 'in', 'the', 'archimedean', 'case', 'we', 'develop', 'several', 'new', 'tools', 'to', 'study', 'invariant', 'distributions', 'on', 'smooth', 'manifolds']] | [-0.1692320124278668, 0.08823568483988543, -0.13398919439181511, 0.06525146794440441, -0.06469564950418506, -0.11791933552621929, -0.05679154872412382, 0.38587036009791287, -0.2748459356642047, -0.16762901619306853, 0.044852042616734845, -0.23605095703414705, -0.12128480009972877, 0.18140617505712217, -0.12016858827582626, -0.04634409731383934, 0.04102498282093641, 0.13561550038325232, -0.10094550799654234, -0.23370032710142347, 0.3953839837746738, -0.09720079291633568, 0.2430125453920905, 0.010092276939039314, 0.13507661276475288, 0.08639630197200837, 0.005248408060694157, -0.06898125771942093, -0.17099205755788038, 0.12593882922949487, 0.23350545471035983, 0.11425824519138524, 0.19519564105999157, -0.35140539066822724, -0.13919767342117983, 0.2539489253662353, 0.12219613053034557, -0.019813173921605528, -0.03183985499497286, -0.309143413738131, 0.17341145499187066, -0.17173913135843047, -0.111051106013271, -0.07932194777179596, 0.0853170752268133, -0.023722380396996645, -0.3382697506959355, 0.020162521194135988, 0.1579444735354289, 0.08507356452647337, -0.05214263047199956, -0.10428934335318762, -0.004697107395893613, 0.03572384670355119, 0.009583789464032148, 0.11206461969210745, 0.07533734528954293, -0.06651542085591097, -0.114533371172932, 0.3513773525090412, -0.12035953747325165, -0.2640384712911666, 0.13631109782862802, -0.155204078994778, -0.18895127628605032, 0.07217067202856374, 0.13866446284187395, 0.15714705151744013, -0.07384597307590898, 0.2038978990972811, -0.1524818054032187, 0.11268613456077008, 0.08503848211406621, -0.01648696435637079, 0.1131836716383479, 0.06166080375429416, 0.13296716053818547, 0.15594971280539582, -0.01105882324614064, -0.02847998247070368, -0.36863635112206605, -0.220044054426686, -0.1360085131438059, 0.14366801368982293, -0.10272391194590709, -0.14266957606860373, 0.40417605664494427, 0.07896232932297037, 0.21542042096925162, 0.15912258896846757, 0.21078871032439692, 0.0998175892502416, 0.020345070199001322, 0.10387809395378586, 0.06361690780884305, 0.1430349435960484, -0.10123315408587628, -0.13127627870511957, -0.003095910749073292, 0.16782305801698807] |
709.1274 | Valley contrasting physics in graphene: magnetic moment and topological
transport | We investigate physical properties that can be used to distinguish the valley
degree of freedom in systems where inversion symmetry is broken, using graphene
systems as examples. We show that the pseudospin associated with the valley
index of carriers has an intrinsic magnetic moment, in close analogy with the
Bohr magneton for the electron spin. There is also a valley dependent Berry
phase effect that can result in a valley contrasting Hall transport, with
carriers in different valleys turning into opposite directions transverse to an
in-plane electric field. These effects can be used to generate and detect
valley polarization by magnetic and electric means, forming the basis for the
so-called valley-tronics applications.
| cond-mat.mtrl-sci cond-mat.mes-hall | we investigate physical properties that can be used to distinguish the valley degree of freedom in systems where inversion symmetry is broken using graphene systems as examples we show that the pseudospin associated with the valley index of carriers has an intrinsic magnetic moment in close analogy with the bohr magneton for the electron spin there is also a valley dependent berry phase effect that can result in a valley contrasting hall transport with carriers in different valleys turning into opposite directions transverse to an inplane electric field these effects can be used to generate and detect valley polarization by magnetic and electric means forming the basis for the socalled valleytronics applications | [['we', 'investigate', 'physical', 'properties', 'that', 'can', 'be', 'used', 'to', 'distinguish', 'the', 'valley', 'degree', 'of', 'freedom', 'in', 'systems', 'where', 'inversion', 'symmetry', 'is', 'broken', 'using', 'graphene', 'systems', 'as', 'examples', 'we', 'show', 'that', 'the', 'pseudospin', 'associated', 'with', 'the', 'valley', 'index', 'of', 'carriers', 'has', 'an', 'intrinsic', 'magnetic', 'moment', 'in', 'close', 'analogy', 'with', 'the', 'bohr', 'magneton', 'for', 'the', 'electron', 'spin', 'there', 'is', 'also', 'a', 'valley', 'dependent', 'berry', 'phase', 'effect', 'that', 'can', 'result', 'in', 'a', 'valley', 'contrasting', 'hall', 'transport', 'with', 'carriers', 'in', 'different', 'valleys', 'turning', 'into', 'opposite', 'directions', 'transverse', 'to', 'an', 'inplane', 'electric', 'field', 'these', 'effects', 'can', 'be', 'used', 'to', 'generate', 'and', 'detect', 'valley', 'polarization', 'by', 'magnetic', 'and', 'electric', 'means', 'forming', 'the', 'basis', 'for', 'the', 'socalled', 'valleytronics', 'applications']] | [-0.1712812219271395, 0.23986610746344791, -0.059975899154129104, 0.04957446327274998, -0.06665994018632253, -0.13673588900460995, 0.023408720000069088, 0.4105021559267438, -0.3042580482350396, -0.31517258998272674, 0.004459259832011802, -0.2721445117245561, -0.1579990436979902, 0.18472910357689085, -0.015345259230733583, -0.059604034270575666, -0.08439574916805473, -0.0794100689069767, -0.06435379077655463, -0.16521520110836718, 0.27643162884383593, -0.010346086496221167, 0.30404231916846974, 0.08777805100128587, 0.07917833739754444, 0.03610381724346163, 0.11024712747894228, 0.0547257240395993, -0.06604591033094818, 0.05515466618401531, 0.2264122228038364, -0.07899114638400663, 0.18696545287301497, -0.4635319417741682, -0.17079965499371091, 0.07102292613542106, 0.15628570656658017, 0.16823703902108328, -0.09782990732596122, -0.27015663961563924, 0.05011237434311105, -0.1243127354070696, -0.18031815364208473, -0.12325038296070748, 0.020982055564153206, -0.01040756396469078, -0.2603792243005176, 0.06487596335786552, 0.035264190448547846, 0.09159423360168668, -0.05973652474183057, -0.12977473314718477, -0.1302859507185141, 0.10263161553458693, 0.10538101409578562, 0.06642273556956622, 0.1567955063957405, -0.11778570502013151, -0.20148025633118646, 0.3719014685235119, -0.04961807723364992, -0.20330511712070024, 0.1232069102614852, -0.19604890245162615, -0.06858231397719854, 0.10488585805121277, 0.15109695268828155, 0.09383319704959701, -0.11047001987130248, 0.05604116978585288, -0.019046708816728954, 0.13303841182018264, 0.035745049107520445, 0.11817944414464623, 0.32742520824207794, 0.09812484595438166, 0.09625457470169099, 0.1393226078258262, -0.14363573257131584, -0.05246738098295672, -0.21853423617514117, -0.19311560138261744, -0.25302424773274523, 0.11845993269733819, -0.05461322902790146, -0.1045113240252249, 0.46196382401311503, 0.1718793897588122, 0.15673905692736817, -0.1049595705532868, 0.2515655193128623, 0.16997452996916504, 0.11191420207199242, 0.03810484820860438, 0.26454337243922055, 0.1845437491501798, 0.08046191462199204, -0.2789785243969943, 0.02971469293281968, -0.02067998958851344] |
709.1275 | Automated search for galactic star clusters in large multiband surveys:
I. Discovery of 15 new open clusters in the Galactic anticenter region | Aims: According to some estimations, there are as many as 100000 open
clusters in the Galaxy, but less than 2000 of them have been discovered,
measured, and cataloged. We plan to undertake data mining of multiwavelength
surveys to find new star clusters. Methods: We have developed a new method to
search automatically for star clusters in very large stellar catalogs, which is
based on convolution with density functions. We have applied this method to a
subset of the Two Micron All Sky Survey catalog toward the Galactic anticenter.
We also developed a method to verify whether detected stellar groups are real
star clusters, which tests whether the stars that form the spatial density peak
also fall onto a single isochrone in the color-magnitude diagram. By fitting an
isochrone to the data, we estimate at the same time the main physical
parameters of a cluster: age, distance, color excess. Results: For the present
paper, we carried out a detailed analysis of 88 overdensity peaks detected in a
field of $16\times16$ degrees near the Galactic anticenter. From this analysis,
15 overdensities were confirmed to be new open clusters and the physical and
structural parameters were determined for 12 of them; 10 of them were
previously suspected to be open clusters by Kronberger (2006) and Froebrich
(2007). The properties were also determined for 13 yet-unstudied known open
clusters, thus almost tripling the sample of open clusters with studied
parameters in the anticenter. The parameters determined with this method showed
a good agreement with published data for a set of well-known clusters.
| astro-ph | aims according to some estimations there are as many as 100000 open clusters in the galaxy but less than 2000 of them have been discovered measured and cataloged we plan to undertake data mining of multiwavelength surveys to find new star clusters methods we have developed a new method to search automatically for star clusters in very large stellar catalogs which is based on convolution with density functions we have applied this method to a subset of the two micron all sky survey catalog toward the galactic anticenter we also developed a method to verify whether detected stellar groups are real star clusters which tests whether the stars that form the spatial density peak also fall onto a single isochrone in the colormagnitude diagram by fitting an isochrone to the data we estimate at the same time the main physical parameters of a cluster age distance color excess results for the present paper we carried out a detailed analysis of 88 overdensity peaks detected in a field of 16times16 degrees near the galactic anticenter from this analysis 15 overdensities were confirmed to be new open clusters and the physical and structural parameters were determined for 12 of them 10 of them were previously suspected to be open clusters by kronberger 2006 and froebrich 2007 the properties were also determined for 13 yetunstudied known open clusters thus almost tripling the sample of open clusters with studied parameters in the anticenter the parameters determined with this method showed a good agreement with published data for a set of wellknown clusters | [['aims', 'according', 'to', 'some', 'estimations', 'there', 'are', 'as', 'many', 'as', '100000', 'open', 'clusters', 'in', 'the', 'galaxy', 'but', 'less', 'than', '2000', 'of', 'them', 'have', 'been', 'discovered', 'measured', 'and', 'cataloged', 'we', 'plan', 'to', 'undertake', 'data', 'mining', 'of', 'multiwavelength', 'surveys', 'to', 'find', 'new', 'star', 'clusters', 'methods', 'we', 'have', 'developed', 'a', 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709.1276 | Exponential clogging time for a one dimensional DLA | When considering DLA on a cylinder it is natural to ask how many particles it
takes to clog the cylinder, e.g. modeling clogging of arteries. In this note we
formulate a very simple DLA clogging model and establish an exponential lower
bound on the number of particles arriving before clogging appears.
| math.PR math-ph math.MP | when considering dla on a cylinder it is natural to ask how many particles it takes to clog the cylinder eg modeling clogging of arteries in this note we formulate a very simple dla clogging model and establish an exponential lower bound on the number of particles arriving before clogging appears | [['when', 'considering', 'dla', 'on', 'a', 'cylinder', 'it', 'is', 'natural', 'to', 'ask', 'how', 'many', 'particles', 'it', 'takes', 'to', 'clog', 'the', 'cylinder', 'eg', 'modeling', 'clogging', 'of', 'arteries', 'in', 'this', 'note', 'we', 'formulate', 'a', 'very', 'simple', 'dla', 'clogging', 'model', 'and', 'establish', 'an', 'exponential', 'lower', 'bound', 'on', 'the', 'number', 'of', 'particles', 'arriving', 'before', 'clogging', 'appears']] | [-0.11457975438850768, 0.1901042721186897, -0.08810056830007656, 0.09595160211228729, -0.08001792978714495, -0.18188284193256907, 0.05438398436515355, 0.33690699701215704, -0.2413756448556395, -0.2941610608615127, 0.06887421241787937, -0.27110902212706267, -0.12259407628181518, 0.18051339860768148, -0.11891904235908798, 0.040441154520593436, 0.00931674753334008, 0.05875419189824777, 0.048651158499221005, -0.25344170093098106, 0.22950834647624516, 0.04237287161031775, 0.24498895794956707, 0.07121698691637493, 0.12926925326852748, -0.011223629883983555, 0.04802201326717349, 0.010880469545429828, -0.22186370814839998, 0.02593571281827548, 0.20018273345468676, 0.09401057885192773, 0.2619434492114712, -0.46782702510701674, -0.19807424288535236, 0.11651663752911869, 0.1936793270410728, 0.1209862260695766, -0.02541073894256032, -0.20959531035794712, 0.06455356602136995, -0.15222863984458587, -0.14986771640970425, 0.05219417873526896, 0.08243664398825928, -0.024306096392227153, -0.23410532375176749, 0.057174182003911805, 0.11524354713950671, 0.016530385231781825, -0.00046539940305200276, -0.03835903818481693, 0.02991187968747873, 0.09368676876514584, 0.1162621134312312, 0.0004947200399257389, 0.1991095560529799, -0.13289270922085086, 0.0038866770919412374, 0.4388855657375911, -0.003469384905389127, -0.21218923524971686, 0.24775209328999706, -0.1624319172628662, -0.13697106495280476, 0.13622335969086954, 0.22754445826342584, 0.07654564850507121, -0.11598598334040064, 0.01584757143042653, -0.11148533564490065, 0.18390690577307753, 0.13373495145317385, -0.05207728409190096, 0.19199461555656264, 0.22379624291651828, 0.11006730482525502, 0.17932127699182898, -0.0954941978002442, -0.08383504403572456, -0.26089405564262586, -0.1843577014503763, -0.17984841872627536, 0.07924831594230936, -0.12489251486526794, -0.20289146410776118, 0.2968926924262561, 0.16958645789646634, 0.2710465539392887, 0.10048236970004498, 0.29406652606877626, 0.12627506239668412, -0.0019586039250533956, 0.09577798362014993, 0.17047418326175973, 0.09693364733282257, 0.08252609810591036, -0.1343636635745711, 0.10813597618036118, 0.06072333040555902] |
709.1277 | Aspetti Moderni della Fisica Greca [Modern Aspects of Ancient Greek
Physics] | Plutarchus, circa 100 AD, in his early book on "astrophysics" --in which he
exposed, in a sense, a general theory of gravitation-- wrote the noticeable
passage: <<The Moon gets the guarantee of not falling down just from its motion
and from the dash associated with its revolution, exactly as stones in slings
cannot fall due to their circular whirling motion; in fact, each thing is
dragged by its mere natural motion only if it isn't deviated by something else.
The Moon, therefore, is not dragged down by its weight, because its natural
tendency is frustrated by its revolution. And, on the contrary, it would be
really amazing if it could remain at rest always at the same place, like the
Earth>>. While Posidonius (circa 135-51 BC) had written: <<Matter is endowed
with a cohesion that keeps it together and against which the surrounding vacuum
has no power. Indeed, the material world is supported by an immense force, and
alternately contracts and expands in the vacuum following its own physical
processes, now consumed by fire, now, instead, giving rise to a new creation of
the cosmos>>. These two examples show how "modern" was part of the ancient
Greek physics, frequently overlooked since it is sometimes known through the
praiseworthy translations of scholars often competent in humanities, more than
in science. [A more extended English summary appears at the beginning of this
article, which is in Italian.]
| physics.ed-ph physics.pop-ph | plutarchus circa 100 ad in his early book on astrophysics in which he exposed in a sense a general theory of gravitation wrote the noticeable passage the moon gets the guarantee of not falling down just from its motion and from the dash associated with its revolution exactly as stones in slings cannot fall due to their circular whirling motion in fact each thing is dragged by its mere natural motion only if it isnt deviated by something else the moon therefore is not dragged down by its weight because its natural tendency is frustrated by its revolution and on the contrary it would be really amazing if it could remain at rest always at the same place like the earth while posidonius circa 13551 bc had written matter is endowed with a cohesion that keeps it together and against which the surrounding vacuum has no power indeed the material world is supported by an immense force and alternately contracts and expands in the vacuum following its own physical processes now consumed by fire now instead giving rise to a new creation of the cosmos these two examples show how modern was part of the ancient greek physics frequently overlooked since it is sometimes known through the praiseworthy translations of scholars often competent in humanities more than in science a more extended english summary appears at the beginning of this article which is in italian | [['plutarchus', 'circa', '100', 'ad', 'in', 'his', 'early', 'book', 'on', 'astrophysics', 'in', 'which', 'he', 'exposed', 'in', 'a', 'sense', 'a', 'general', 'theory', 'of', 'gravitation', 'wrote', 'the', 'noticeable', 'passage', 'the', 'moon', 'gets', 'the', 'guarantee', 'of', 'not', 'falling', 'down', 'just', 'from', 'its', 'motion', 'and', 'from', 'the', 'dash', 'associated', 'with', 'its', 'revolution', 'exactly', 'as', 'stones', 'in', 'slings', 'can', 'not', 'fall', 'due', 'to', 'their', 'circular', 'whirling', 'motion', 'in', 'fact', 'each', 'thing', 'is', 'dragged', 'by', 'its', 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709.1278 | PoGOLite - A High Sensitivity Balloon-Borne Soft Gamma-ray Polarimeter | We describe a new balloon-borne instrument (PoGOLite) capable of detecting
10% polarisation from 200mCrab point-like sources between 25 and 80keV in one 6
hour flight. Polarisation measurements in the soft gamma-ray band are expected
to provide a powerful probe into high-energy emission mechanisms as well as the
distribution of magnetic fields, radiation fields and interstellar matter. At
present, only exploratory polarisation measurements have been carried out in
the soft gamma-ray band. Reduction of the large background produced by
cosmic-ray particles has been the biggest challenge. PoGOLite uses Compton
scattering and photo-absorption in an array of 217 well-type phoswich detector
cells made of plastic and BGO scintillators surrounded by a BGO anticoincidence
shield and a thick polyethylene neutron shield. The narrow FOV (1.25msr)
obtained with well-type phoswich detector technology and the use of thick
background shields enhance the detected S/N ratio. Event selections based on
recorded phototube waveforms and Compton kinematics reduce the background to
that expected for a 40-100mCrab source between 25 and 50keV. A 6 hour
observation on the Crab will differentiate between the Polar Cap/Slot Gap,
Outer Gap, and Caustic models with greater than 5 sigma; and also cleanly
identify the Compton reflection component in the Cygnus X-1 hard state. The
first flight is planned for 2010 and long-duration flights from Sweden to
Northern Canada are foreseen thereafter.
| astro-ph | we describe a new balloonborne instrument pogolite capable of detecting 10 polarisation from 200mcrab pointlike sources between 25 and 80kev in one 6 hour flight polarisation measurements in the soft gammaray band are expected to provide a powerful probe into highenergy emission mechanisms as well as the distribution of magnetic fields radiation fields and interstellar matter at present only exploratory polarisation measurements have been carried out in the soft gammaray band reduction of the large background produced by cosmicray particles has been the biggest challenge pogolite uses compton scattering and photoabsorption in an array of 217 welltype phoswich detector cells made of plastic and bgo scintillators surrounded by a bgo anticoincidence shield and a thick polyethylene neutron shield the narrow fov 125msr obtained with welltype phoswich detector technology and the use of thick background shields enhance the detected sn ratio event selections based on recorded phototube waveforms and compton kinematics reduce the background to that expected for a 40100mcrab source between 25 and 50kev a 6 hour observation on the crab will differentiate between the polar capslot gap outer gap and caustic models with greater than 5 sigma and also cleanly identify the compton reflection component in the cygnus x1 hard state the first flight is planned for 2010 and longduration flights from sweden to northern canada are foreseen thereafter | [['we', 'describe', 'a', 'new', 'balloonborne', 'instrument', 'pogolite', 'capable', 'of', 'detecting', '10', 'polarisation', 'from', '200mcrab', 'pointlike', 'sources', 'between', '25', 'and', '80kev', 'in', 'one', '6', 'hour', 'flight', 'polarisation', 'measurements', 'in', 'the', 'soft', 'gammaray', 'band', 'are', 'expected', 'to', 'provide', 'a', 'powerful', 'probe', 'into', 'highenergy', 'emission', 'mechanisms', 'as', 'well', 'as', 'the', 'distribution', 'of', 'magnetic', 'fields', 'radiation', 'fields', 'and', 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709.1279 | An Update on the 0Z Project | We give an update on our 0Z Survey to find more extremely metal poor (EMP)
stars with [Fe/H] < -3 dex through mining the database of the Hamburg/ESO
Survey. We present the most extreme such stars we have found from ~1550
moderate resolution follow up spectra. One of these, HE1424-0241, has highly
anomalous abundance ratios not seen in any previously known halo giant, with
very deficient Si, moderately deficient Ca and Ti, highly enhanced Mn and Co,
and low C, all with respect to Fe. We suggest a SNII where the nucleosynthetic
yield for explosive alpha-burning nuclei was very low compared to that for the
hydrostatic alpha-burning element Mg, which is normal in this star relative to
Fe. A second, less extreme, outlier star with high [Sc/Fe] has also been found.
We examine the extremely metal-poor tail of the HES metallicity distribution
function (MDF). We suggest on the basis of comparison of our high resolution
detailed abundance analyses with [Fe/H](HES) for stars in our sample that the
MDF inferred from follow up spectra of the HES sample of candidate EMP stars is
heavily contaminated for [Fe/H](HES) < -3 dex; many of the supposed EMP stars
below that metallicity are of substantially higher Fe-metallicity, including
most of the very C-rich stars, or are spurious objects.
| astro-ph | we give an update on our 0z survey to find more extremely metal poor emp stars with feh 3 dex through mining the database of the hamburgeso survey we present the most extreme such stars we have found from 1550 moderate resolution follow up spectra one of these he14240241 has highly anomalous abundance ratios not seen in any previously known halo giant with very deficient si moderately deficient ca and ti highly enhanced mn and co and low c all with respect to fe we suggest a snii where the nucleosynthetic yield for explosive alphaburning nuclei was very low compared to that for the hydrostatic alphaburning element mg which is normal in this star relative to fe a second less extreme outlier star with high scfe has also been found we examine the extremely metalpoor tail of the hes metallicity distribution function mdf we suggest on the basis of comparison of our high resolution detailed abundance analyses with fehhes for stars in our sample that the mdf inferred from follow up spectra of the hes sample of candidate emp stars is heavily contaminated for fehhes 3 dex many of the supposed emp stars below that metallicity are of substantially higher femetallicity including most of the very crich stars or are spurious objects | [['we', 'give', 'an', 'update', 'on', 'our', '0z', 'survey', 'to', 'find', 'more', 'extremely', 'metal', 'poor', 'emp', 'stars', 'with', 'feh', '3', 'dex', 'through', 'mining', 'the', 'database', 'of', 'the', 'hamburgeso', 'survey', 'we', 'present', 'the', 'most', 'extreme', 'such', 'stars', 'we', 'have', 'found', 'from', '1550', 'moderate', 'resolution', 'follow', 'up', 'spectra', 'one', 'of', 'these', 'he14240241', 'has', 'highly', 'anomalous', 'abundance', 'ratios', 'not', 'seen', 'in', 'any', 'previously', 'known', 'halo', 'giant', 'with', 'very', 'deficient', 'si', 'moderately', 'deficient', 'ca', 'and', 'ti', 'highly', 'enhanced', 'mn', 'and', 'co', 'and', 'low', 'c', 'all', 'with', 'respect', 'to', 'fe', 'we', 'suggest', 'a', 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709.128 | Comment on Theory of spin Hall effect | Chudnovsky recently proposed (arXiv: 0709.0725) a beautifully simple
mechanism for the intrinsic spin Hall effect involving an extension of the
Drude model. We point out that an equivalent proposal was made by us in an
alternative treatment of the problem in Phys.Rev. B60, 14787 (1999)
(arXiv:cond-mat/9910408, reaching identical conclusions. The coincidence of
both approaches supports their physical validity. The mechanism applies to the
spin Hall effect in all metals and semiconductors and to the anomalous Hall
effect in all ferromagnetic metals and semiconductors.
| cond-mat.mes-hall | chudnovsky recently proposed arxiv 07090725 a beautifully simple mechanism for the intrinsic spin hall effect involving an extension of the drude model we point out that an equivalent proposal was made by us in an alternative treatment of the problem in physrev b60 14787 1999 arxivcondmat9910408 reaching identical conclusions the coincidence of both approaches supports their physical validity the mechanism applies to the spin hall effect in all metals and semiconductors and to the anomalous hall effect in all ferromagnetic metals and semiconductors | [['chudnovsky', 'recently', 'proposed', 'arxiv', '07090725', 'a', 'beautifully', 'simple', 'mechanism', 'for', 'the', 'intrinsic', 'spin', 'hall', 'effect', 'involving', 'an', 'extension', 'of', 'the', 'drude', 'model', 'we', 'point', 'out', 'that', 'an', 'equivalent', 'proposal', 'was', 'made', 'by', 'us', 'in', 'an', 'alternative', 'treatment', 'of', 'the', 'problem', 'in', 'physrev', 'b60', '14787', '1999', 'arxivcondmat9910408', 'reaching', 'identical', 'conclusions', 'the', 'coincidence', 'of', 'both', 'approaches', 'supports', 'their', 'physical', 'validity', 'the', 'mechanism', 'applies', 'to', 'the', 'spin', 'hall', 'effect', 'in', 'all', 'metals', 'and', 'semiconductors', 'and', 'to', 'the', 'anomalous', 'hall', 'effect', 'in', 'all', 'ferromagnetic', 'metals', 'and', 'semiconductors']] | [-0.09663873018143931, 0.10339507975058951, -0.07569744614884258, 0.047891575162066144, -0.0943562627886422, -0.15519867973052898, 0.07622266658581793, 0.35254459410207345, -0.20712432670989073, -0.2955466258164961, -0.0017835713049862533, -0.28905482734553517, -0.16549250935204327, 0.20679210584785324, -0.03593760647054296, 0.03368501048535109, -0.06546167505439371, -0.08878067838959396, -0.05335683943703771, -0.26464426221791654, 0.2606408848630963, 0.07896244712173939, 0.31426600567792773, 0.08873857361031696, 0.0837328696041368, 0.047081726987380536, 0.015302463492844254, 0.03942906832671724, -0.10266121972281325, 0.021867009192646947, 0.2079402856528759, -0.057087425608187914, 0.2167508853599429, -0.4283228493644856, -0.18686770318890922, 0.02324123518774286, 0.08756582288770005, 0.16527539430535398, -0.03687995593063533, -0.276052885921672, 0.027798693283693866, -0.22969583587546366, -0.1398280237975996, -0.04225176585605368, 0.06702131145866588, -0.1128573188543669, -0.2513327384949662, 0.07464942898368462, 0.16556010909262114, 0.042893522838130596, -0.0937666956193425, -0.15396393605624326, 0.01098601387348026, 0.07137044427799992, 0.0473641207718174, 0.005191556311910972, 0.10467484207474627, -0.12439674712859414, -0.2255620261450531, 0.3521014394485974, -0.039579688769299536, -0.14700227142311634, 0.18985536927648355, -0.15328351877979002, -0.08946249387226998, 0.13802694847690872, 0.07495385964284651, 0.08627967340871692, -0.16513920248253272, 0.10598083152217441, -0.07394900863291695, 0.07947306900932745, 0.019626984221395104, 0.03392220344976522, 0.25596923008561134, 0.14257901784731075, -0.018828492355532946, 0.11980934946332127, -0.08318955062422902, -0.04584314092062414, -0.22275477456278167, -0.2068963307188824, -0.19888573872449342, 0.08213107419142034, -0.04639363737605891, -0.157365809060866, 0.38168310436885805, 0.2315904494607821, 0.16000347585068084, -0.04242899459786713, 0.2447806222131476, 0.10144435599213467, 0.06526279138342943, 0.047776945761870596, 0.278459534724243, 0.1998925729218172, 0.113355715299258, -0.2832844022253994, 0.07452837321616243, 0.06351775017101317] |
709.1281 | Relative and Discrete Utility Maximising Entropy | The notion of utility maximising entropy (u-entropy) of a probability
density, which was introduced and studied by Slomczynski and Zastawniak (Ann.
Prob 32 (2004) 2261-2285, arXiv:math.PR/0410115 v1), is extended in two
directions. First, the relative u-entropy of two probability measures in
arbitrary probability spaces is defined. Then, specialising to discrete
probability spaces, we also introduce the absolute u-entropy of a probability
measure. Both notions are based on the idea, borrowed from mathematical
finance, of maximising the expected utility of the terminal wealth of an
investor. Moreover, u-entropy is also relevant in thermodynamics, as it can
replace the standard Boltzmann-Shannon entropy in the Second Law. If the
utility function is logarithmic or isoelastic (a power function), then the
well-known notions of the Boltzmann-Shannon and Renyi relative entropy are
recovered. We establish the principal properties of relative and discrete
u-entropy and discuss the links with several related approaches in the
literature.
| math.PR q-fin.ST | the notion of utility maximising entropy uentropy of a probability density which was introduced and studied by slomczynski and zastawniak ann prob 32 2004 22612285 arxivmathpr0410115 v1 is extended in two directions first the relative uentropy of two probability measures in arbitrary probability spaces is defined then specialising to discrete probability spaces we also introduce the absolute uentropy of a probability measure both notions are based on the idea borrowed from mathematical finance of maximising the expected utility of the terminal wealth of an investor moreover uentropy is also relevant in thermodynamics as it can replace the standard boltzmannshannon entropy in the second law if the utility function is logarithmic or isoelastic a power function then the wellknown notions of the boltzmannshannon and renyi relative entropy are recovered we establish the principal properties of relative and discrete uentropy and discuss the links with several related approaches in the literature | [['the', 'notion', 'of', 'utility', 'maximising', 'entropy', 'uentropy', 'of', 'a', 'probability', 'density', 'which', 'was', 'introduced', 'and', 'studied', 'by', 'slomczynski', 'and', 'zastawniak', 'ann', 'prob', '32', '2004', '22612285', 'arxivmathpr0410115', 'v1', 'is', 'extended', 'in', 'two', 'directions', 'first', 'the', 'relative', 'uentropy', 'of', 'two', 'probability', 'measures', 'in', 'arbitrary', 'probability', 'spaces', 'is', 'defined', 'then', 'specialising', 'to', 'discrete', 'probability', 'spaces', 'we', 'also', 'introduce', 'the', 'absolute', 'uentropy', 'of', 'a', 'probability', 'measure', 'both', 'notions', 'are', 'based', 'on', 'the', 'idea', 'borrowed', 'from', 'mathematical', 'finance', 'of', 'maximising', 'the', 'expected', 'utility', 'of', 'the', 'terminal', 'wealth', 'of', 'an', 'investor', 'moreover', 'uentropy', 'is', 'also', 'relevant', 'in', 'thermodynamics', 'as', 'it', 'can', 'replace', 'the', 'standard', 'boltzmannshannon', 'entropy', 'in', 'the', 'second', 'law', 'if', 'the', 'utility', 'function', 'is', 'logarithmic', 'or', 'isoelastic', 'a', 'power', 'function', 'then', 'the', 'wellknown', 'notions', 'of', 'the', 'boltzmannshannon', 'and', 'renyi', 'relative', 'entropy', 'are', 'recovered', 'we', 'establish', 'the', 'principal', 'properties', 'of', 'relative', 'and', 'discrete', 'uentropy', 'and', 'discuss', 'the', 'links', 'with', 'several', 'related', 'approaches', 'in', 'the', 'literature']] | [-0.0616528268968433, 0.07431321957104658, -0.09939237466069306, 0.11891796242534405, -0.01818287075294473, -0.1161703282213282, 0.050797437160271124, 0.32096423873310387, -0.3001881563738242, -0.2539818108930778, 0.0950242315797566, -0.307454673865205, -0.14758656954956653, 0.16458603420586257, -0.15462163420153313, 0.0841169411262662, -0.05220357913105768, 0.10110318223267895, -0.06544294056235528, -0.2565162244750199, 0.33620006065391206, 0.04392767038044273, 0.30396562419375595, 0.05710324959284594, 0.1322195835943733, -0.00652686854647029, -0.07635505985212038, 0.05478363388477742, -0.1766766804907167, 0.16454891328617524, 0.21434805627047485, 0.16940446200204037, 0.32344835856612647, -0.3364009894050506, -0.1680908160265155, 0.1462425262204745, 0.031369728893104964, 0.023183809366032836, 0.028202671027856365, -0.2650756710874183, 0.054149827337031865, -0.19904896567360225, -0.1113292123507835, -0.04199109716201518, 0.027270278332716957, 0.0837714888320184, -0.25962635523759997, 0.08751682251126372, 0.05689788659392867, 0.039478313812168736, -0.057737985092094865, -0.1067471014316745, -0.05803330777510747, 0.10735426084645296, 0.07509968538774925, 0.02250971058130163, 0.11598419408523003, -0.09786396594654743, -0.17499612790031904, 0.33345301401148847, -0.07371482738376069, -0.2208910774293856, 0.14689241766891614, -0.1320676728188168, -0.1294325316407192, 0.05586034376934475, 0.12775566680420217, 0.11133058124078718, -0.13660641134000656, 0.10554928103023126, -0.03448203557763299, 0.12074456113663053, 0.0896313080285378, 0.057116735891318646, 0.1385765674929483, 0.07473656765603441, 0.09216936318153122, 0.17679634818579165, -0.0771798272553806, -0.1638221548146372, -0.30739147139025763, -0.209350127073442, -0.22177317550684622, 0.04938538996566112, -0.11000215529167603, -0.1130785122703837, 0.35743700052123695, 0.1147800492864026, 0.17906546680776236, 0.120912833989053, 0.2554080496291902, 0.1674165897424567, -0.0299684797804866, 0.07127367837519265, 0.19939791670918058, 0.1656251000161251, 0.06674189884912501, -0.1569474012130431, 0.09475281317148129, 0.10505582065460886] |
709.1282 | Dynamics of Symplectic SubVolumes | In this paper we will explore fundamental constraints on the evolution of
certain symplectic subvolumes possessed by any Hamiltonian phase space. This
research has direct application to optimal control and control of conservative
mechanical systems. We relate geometric invariants of symplectic topology to
computations that can easily be carried out with the state transition matrix of
the flow map. We will show how certain symplectic subvolumes have a minimal
obtainable volume; further if the subvolume dimension equals the phase space
dimension, this constraint reduces to Liouville's Theorem. Finally we present a
preferred basis that, for a given canonical transformation, has certain
minimality properties with regards to the local volume expansion of phase
space.
| math.OC math.DS | in this paper we will explore fundamental constraints on the evolution of certain symplectic subvolumes possessed by any hamiltonian phase space this research has direct application to optimal control and control of conservative mechanical systems we relate geometric invariants of symplectic topology to computations that can easily be carried out with the state transition matrix of the flow map we will show how certain symplectic subvolumes have a minimal obtainable volume further if the subvolume dimension equals the phase space dimension this constraint reduces to liouvilles theorem finally we present a preferred basis that for a given canonical transformation has certain minimality properties with regards to the local volume expansion of phase space | [['in', 'this', 'paper', 'we', 'will', 'explore', 'fundamental', 'constraints', 'on', 'the', 'evolution', 'of', 'certain', 'symplectic', 'subvolumes', 'possessed', 'by', 'any', 'hamiltonian', 'phase', 'space', 'this', 'research', 'has', 'direct', 'application', 'to', 'optimal', 'control', 'and', 'control', 'of', 'conservative', 'mechanical', 'systems', 'we', 'relate', 'geometric', 'invariants', 'of', 'symplectic', 'topology', 'to', 'computations', 'that', 'can', 'easily', 'be', 'carried', 'out', 'with', 'the', 'state', 'transition', 'matrix', 'of', 'the', 'flow', 'map', 'we', 'will', 'show', 'how', 'certain', 'symplectic', 'subvolumes', 'have', 'a', 'minimal', 'obtainable', 'volume', 'further', 'if', 'the', 'subvolume', 'dimension', 'equals', 'the', 'phase', 'space', 'dimension', 'this', 'constraint', 'reduces', 'to', 'liouvilles', 'theorem', 'finally', 'we', 'present', 'a', 'preferred', 'basis', 'that', 'for', 'a', 'given', 'canonical', 'transformation', 'has', 'certain', 'minimality', 'properties', 'with', 'regards', 'to', 'the', 'local', 'volume', 'expansion', 'of', 'phase', 'space']] | [-0.18156079666079145, 0.12730187468593362, -0.1271183700259544, 0.035199458522318275, -0.10105980607161744, -0.08759352613026195, 0.060038455624949284, 0.33961527791714907, -0.31288823219988726, -0.26041112419844203, 0.11916298600865644, -0.2075534550786282, -0.17094593131667482, 0.16211509610633407, -0.10282094410900851, 0.05199826916729191, 0.07301579923492617, 0.037762078188722376, -0.1832604701960443, -0.25783190363193903, 0.37528697962551255, 0.046443458320985065, 0.25579691422790024, 0.034130893881531614, 0.13294442145533003, 0.001900339878238408, -0.0022853861554665905, 0.05192036728453987, -0.1938955377818516, 0.10962867417652984, 0.22867047931768197, 0.1293072156216362, 0.21933249751748765, -0.4104092728544389, -0.21845405006501, 0.18615777008194245, 0.1412951618976957, 0.0854821051924234, -0.013329194635111608, -0.25261354602593106, 0.09429220240179395, -0.14460390752626467, -0.16395237223879822, -0.1612504921313705, -0.007056918308402584, -0.007394431744067543, -0.20945059963856386, 0.025982796950197513, 0.058736850214973754, 0.053494617647895246, -0.04882896048700915, -0.04448720632508331, -0.047129366629287205, 0.1208910329568208, -0.006309676254067706, 0.03735557841384305, 0.15686814669948235, -0.06213382649878287, -0.08191375734399906, 0.39740817852944665, -0.0299659745682204, -0.2664557846975966, 0.14553187347215032, -0.14915945456750626, -0.1675216985322469, 0.12572981039292913, 0.1326089239992465, 0.0657785820024731, -0.10355114999466238, 0.13504049952906366, -0.06539820298651415, 0.16505659742495127, 0.04508063479005236, 0.025515065982781217, 0.162269076985612, 0.1284316726074249, 0.1451354204302044, 0.1698703501039737, -0.03333110682691027, -0.10823278335789507, -0.31511185249000523, -0.19674826293062847, -0.1621704516104068, 0.08917614486711346, -0.11785893311038452, -0.13651719853380875, 0.386051862578905, 0.12754280331948425, 0.1610530944689449, 0.06017840392393085, 0.26820927875248335, 0.12609043431394132, 0.04761593387074835, 0.030719889027058286, 0.22240877559045907, 0.14450217064972803, 0.054061914204858834, -0.20155301288108185, -0.0015540141612291336, 0.13012879009696499] |
709.1283 | The fundamental role of the retarded potential in the electrodynamics of
superluminal sources | We calculate the gradient of the radiation field generated by a polarization
current with a superluminally rotating distribution pattern and show that the
absolute value of this gradient increases as R^(7/2) with distance R within the
sharply focused subbeams constituting the overall radiation beam. This result
not only supports the earlier finding that the azimuthal and polar widths of
these subbeams narrow with distance (as R^(-3) and R^(-1), respectively), but
also implies that the boundary contribution to the solution of the wave
equation governing the radiation field does not always vanish in the limit
where the boundary tends to infinity. There is a fundamental difference between
the classical expressions for the retarded potential and field: while the
boundary contribution for the potential can always be made zero via a gauge
transformation preserving the Lorenz condition, that for the field may be
neglected only if it diminishes with distance faster than the contribution of
the source density in the far zone. In the case of a rotating superluminal
source, however, the boundary term in the retarded solution for the field is by
a factor of order R^(1/2) larger than the source term of this solution in the
limit, which explains why an argument based on the solution of the wave
equation governing the field that neglects the boundary term (such as that
presented by J. H. Hannay) misses the nonspherical decay of the field. Given
that the distribution of the radiation field of an accelerated superluminal
source in the far zone is not known a priori, the only way to calculate the
free-space radiation field of such sources is via the retarded solution for the
potential. Finally, we apply these findings to pulsar observational data: the
more distant a pulsar, the narrower and brighter its giant pulses should be.
| astro-ph | we calculate the gradient of the radiation field generated by a polarization current with a superluminally rotating distribution pattern and show that the absolute value of this gradient increases as r72 with distance r within the sharply focused subbeams constituting the overall radiation beam this result not only supports the earlier finding that the azimuthal and polar widths of these subbeams narrow with distance as r3 and r1 respectively but also implies that the boundary contribution to the solution of the wave equation governing the radiation field does not always vanish in the limit where the boundary tends to infinity there is a fundamental difference between the classical expressions for the retarded potential and field while the boundary contribution for the potential can always be made zero via a gauge transformation preserving the lorenz condition that for the field may be neglected only if it diminishes with distance faster than the contribution of the source density in the far zone in the case of a rotating superluminal source however the boundary term in the retarded solution for the field is by a factor of order r12 larger than the source term of this solution in the limit which explains why an argument based on the solution of the wave equation governing the field that neglects the boundary term such as that presented by j h hannay misses the nonspherical decay of the field given that the distribution of the radiation field of an accelerated superluminal source in the far zone is not known a priori the only way to calculate the freespace radiation field of such sources is via the retarded solution for the potential finally we apply these findings to pulsar observational data the more distant a pulsar the narrower and brighter its giant pulses should be | [['we', 'calculate', 'the', 'gradient', 'of', 'the', 'radiation', 'field', 'generated', 'by', 'a', 'polarization', 'current', 'with', 'a', 'superluminally', 'rotating', 'distribution', 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709.1284 | Spin and orbital angular momentum in gauge theories (II): QCD and
nucleon spin structure | Parallel to the construction of gauge invariant spin and orbital angular
momentum for QED in paper (I) of this series, we present here an analogous but
non-trivial solution for QCD. Explicitly gauge invariant spin and orbital
angular momentum operators of quarks and gluons are obtained. This was
previously thought to be an impossible task, and opens a more promising avenue
towards the understanding of the nucleon spin structure.
| hep-ph | parallel to the construction of gauge invariant spin and orbital angular momentum for qed in paper i of this series we present here an analogous but nontrivial solution for qcd explicitly gauge invariant spin and orbital angular momentum operators of quarks and gluons are obtained this was previously thought to be an impossible task and opens a more promising avenue towards the understanding of the nucleon spin structure | [['parallel', 'to', 'the', 'construction', 'of', 'gauge', 'invariant', 'spin', 'and', 'orbital', 'angular', 'momentum', 'for', 'qed', 'in', 'paper', 'i', 'of', 'this', 'series', 'we', 'present', 'here', 'an', 'analogous', 'but', 'nontrivial', 'solution', 'for', 'qcd', 'explicitly', 'gauge', 'invariant', 'spin', 'and', 'orbital', 'angular', 'momentum', 'operators', 'of', 'quarks', 'and', 'gluons', 'are', 'obtained', 'this', 'was', 'previously', 'thought', 'to', 'be', 'an', 'impossible', 'task', 'and', 'opens', 'a', 'more', 'promising', 'avenue', 'towards', 'the', 'understanding', 'of', 'the', 'nucleon', 'spin', 'structure']] | [-0.1546202060947989, 0.24086226564395474, -0.10479542336371891, 0.08692225559035946, -0.1289467092437382, -0.08567445161615443, 0.0028869603086016417, 0.3852413673611248, -0.2087175089537221, -0.2791320665171096, -0.025918733357684687, -0.2180896332857254, -0.09215002205147517, 0.16531942328712082, 0.01437156272953978, 0.10768867412801175, 0.031040700604481733, -0.02475815305404146, -0.10109826697803595, -0.1988726655836217, 0.3523560810683514, 0.06306304304641397, 0.1944401613505119, 0.11122419883716195, 0.13716308715725867, 0.02301146344945985, -0.045045276114251465, -0.0659820618422921, -0.10445860559668611, 0.11587985963663361, 0.24501260271405473, -0.005373024929533987, 0.13076525439357603, -0.3858834787217133, -0.11235608901059844, 0.04960379671469769, 0.20161655282957808, 0.19612060218830318, -0.040815526281649535, -0.28304671005838933, 0.03633953802808024, -0.22555057178525365, -0.1919402835842715, -0.19857245513840632, 0.042413118678857296, -0.12250063263619428, -0.25889729232585523, 0.07000280316124725, 0.09822862173485405, 0.04505007138804478, -0.06767817721565199, -0.1459071561762625, -0.04071574245908243, 0.0634549875771079, 0.10622620122397647, 0.15039435510441443, 0.06697949819499627, -0.15634679314954317, -0.18914101774177705, 0.40199923950850086, -0.0061993914765908435, -0.23381338631460333, 0.14615894056281403, -0.16658613329534144, -0.16232093962539426, 0.10379655133275424, 0.1617549891474054, 0.15965308763963335, -0.19770587472714182, 0.0796825144720702, -0.04548794810441049, 0.13684462483369692, 0.06490356378558584, 0.13054909125682623, 0.28497680803925235, 0.14592175847193337, 0.0746491771972026, 0.11840223605737693, -0.05275898088481935, -0.10911561283693813, -0.27479148206903653, -0.21511941239184715, -0.17542254805619664, 0.14919859494479812, -0.06393777513243121, -0.09265296046129044, 0.4259881826446337, 0.15755543705788166, 0.1778578654767069, 0.008678905974032687, 0.2812991278684315, 0.10853262488072847, 0.07830028312609476, 0.07792498353399638, 0.23969973141656203, 0.16777778454878203, 0.12876716557451906, -0.2790486952974735, -0.04458050220273435, 0.07988114404382513] |
709.1285 | Corners and Records of the Poisson Process in Quadrant | The scale-invariant spacings lemma due to Arratia, Barbour and Tavar{\'e}
establishes the distributional identity of a self-similar Poisson process and
the set of spacings between the points of this process. In this note we connect
this result with properties of a certain set of extreme points of the unit
Poisson process in the positive quadrant.
| math.PR | the scaleinvariant spacings lemma due to arratia barbour and tavare establishes the distributional identity of a selfsimilar poisson process and the set of spacings between the points of this process in this note we connect this result with properties of a certain set of extreme points of the unit poisson process in the positive quadrant | [['the', 'scaleinvariant', 'spacings', 'lemma', 'due', 'to', 'arratia', 'barbour', 'and', 'tavare', 'establishes', 'the', 'distributional', 'identity', 'of', 'a', 'selfsimilar', 'poisson', 'process', 'and', 'the', 'set', 'of', 'spacings', 'between', 'the', 'points', 'of', 'this', 'process', 'in', 'this', 'note', 'we', 'connect', 'this', 'result', 'with', 'properties', 'of', 'a', 'certain', 'set', 'of', 'extreme', 'points', 'of', 'the', 'unit', 'poisson', 'process', 'in', 'the', 'positive', 'quadrant']] | [-0.1342486922798509, 0.056535524654794826, -0.1022822837937962, 0.03838804677622896, -0.023886886501515454, -0.05009569618850947, 0.15435602502389387, 0.3033108209767802, -0.3262939298229123, -0.22903633366592907, 0.07715897883965887, -0.2700201443777504, -0.15416631033982742, 0.13643985451622442, -0.11416172639212825, 0.07539595937864348, 0.03637871427292173, 0.011359965868971564, -0.021723735679618338, -0.23768156569620424, 0.3946070146662268, 0.0389149818230759, 0.25020718276500703, 0.0317797982387922, 0.12130984100936489, -0.010892801291563295, -0.07607444125989621, -0.08182809096761048, -0.14568972257389265, 0.13299208586739206, 0.1689653267575936, 0.039613865011117674, 0.2870169829746539, -0.34342782632871105, -0.13284856721081517, 0.1622958342714066, 0.0782585937868465, 0.04252286207946864, 0.018829448825933716, -0.27935929301787504, 0.1192423202097416, -0.09717669202522798, -0.20250746159052307, 0.01627643746747212, 0.020149964856153186, 0.06391173677772961, -0.31040392607789147, 0.11298466434871608, 0.18713725554672153, 0.0710098240355199, -0.007901551100340756, -0.0849360849369656, -0.00367322957820513, 0.12976426128298044, 0.05780345426544293, 0.02281372227748348, 0.06638107282024892, -0.044391198849982834, -0.13202435702339493, 0.36342130425301467, -0.02184664798392491, -0.20426931406625293, 0.17435584860769185, -0.2122251697223295, -0.17469484171068125, 0.08135902135717597, 0.1450828164223243, 0.09869035653854635, -0.16649864928966218, 0.1272199278676205, -0.09062325856225058, 0.06431424959816716, 0.155792823061347, -0.02833309452557428, 0.19530224136330865, 0.11101532202552665, 0.09092153197323734, 0.1529509648680687, -0.058111085742712024, -0.12047423962503671, -0.32781987518749456, -0.14944750570099463, -0.19798801405863328, 0.10422237664884464, -0.1631641876455185, -0.27002996370535004, 0.3809887912801721, 0.16359225354072723, 0.26553585084832526, 0.08018750428137454, 0.19066384351727636, 0.14230767132724975, 0.0008087028833952817, 0.05495169267735698, 0.13177849491211502, 0.17111909128725528, 0.12864194920455868, -0.11264324323697524, 0.015580032985996117, 0.11993158905004914] |
709.1286 | Study of a Z-form of the coordinate ring of a reductive group | We show how the theory of canonical bases in modified universal enveloping
algebras can be used to develop the theory of Chevalley groups over any
commutative ring with 1.
| math.RT | we show how the theory of canonical bases in modified universal enveloping algebras can be used to develop the theory of chevalley groups over any commutative ring with 1 | [['we', 'show', 'how', 'the', 'theory', 'of', 'canonical', 'bases', 'in', 'modified', 'universal', 'enveloping', 'algebras', 'can', 'be', 'used', 'to', 'develop', 'the', 'theory', 'of', 'chevalley', 'groups', 'over', 'any', 'commutative', 'ring', 'with', '1']] | [-0.11831203822431893, 0.06186133568528397, -0.1602419450365264, 0.059178051121276, -0.09841387115161994, -0.14842926942068954, -0.09147255810716286, 0.3542661432433745, -0.4276509988282261, -0.17954949803393463, 0.0583719755001045, -0.13447483012388492, -0.16108165048705092, 0.2120528070191885, -0.1872880840352897, -0.10001358897264662, -0.03849401832397642, 0.16313779784430718, -0.15732162853638673, -0.28830537122899086, 0.3923068005784318, 0.03915646090172231, 0.2177952102481805, -0.03278517671700182, 0.06434688890545533, 0.03709074564213897, 0.00423097385671632, 0.04184029360526595, -0.17126429093808965, 0.14363330467764673, 0.38225862884829787, 0.10498615129497545, 0.20871844245442028, -0.4386034235358238, -0.12404372360043485, 0.21185161931247548, 0.20578567301533346, 0.07272304318331439, -0.002485490436183995, -0.22407396592135573, 0.14375939988480993, -0.32879263817750176, -0.13442162482132172, -0.12409923575690081, 0.032374449845018055, 0.001406330390480058, -0.22699925778754826, 0.03893250827516975, 0.043716205797832586, 0.12964806657541414, -0.07626964007343712, -0.060349342894965206, -0.010084738344724837, 0.0961968604603718, -0.1359647494451753, -0.014097151250160974, 0.19070238685877672, -0.031134852561457402, -0.2512096907172737, 0.3678056521919267, -0.07966342292212207, -0.20926664737534934, 0.1048418013057832, -0.2264111884066771, -0.1424617375215066, 0.05192358464259526, 0.03553782155384021, 0.13545903724072308, -0.016403414598055954, 0.2207367351631923, -0.13775043369367204, 0.11591175198554993, 0.05279709148252833, 0.005314028147479583, 0.16962925139172325, 0.04431344247583685, -0.02756442763774399, 0.10755767502645351, 0.07778751927203145, -0.029586785440814906, -0.3576270506299775, -0.17768929397751546, -0.0625923599662452, 0.1608207700452928, -0.12798632408395924, -0.15592909996911627, 0.40080298509063395, 0.1929707131669696, 0.11239497257589266, 0.09799358740063577, 0.15209194298448234, 0.07803954823135302, 0.2021202597895573, 0.06547189144224956, 0.1259155067904242, 0.28884166980098036, -0.05669608874776368, -0.12029559473539221, -0.11430763597760735, 0.2200752224066648] |
709.1287 | Finite size corrections to the blackbody radiation laws | We investigate the radiation of a blackbody in a cavity of finite size. For a
given geometry, we use semiclassical techniques to obtain explicit expressions
of the modified Planck's and Stefan-Boltzmann's blackbody radiation laws as a
function of the size and shape of the cavity. We determine the range of
parameters (temperature, size and shape of the cavity) for which these effects
are accessible to experimental verification. Finally we discuss potential
applications of our findings in the physics of the cosmic microwave background
and sonoluminescence.
| quant-ph astro-ph cond-mat.mes-hall cond-mat.stat-mech | we investigate the radiation of a blackbody in a cavity of finite size for a given geometry we use semiclassical techniques to obtain explicit expressions of the modified plancks and stefanboltzmanns blackbody radiation laws as a function of the size and shape of the cavity we determine the range of parameters temperature size and shape of the cavity for which these effects are accessible to experimental verification finally we discuss potential applications of our findings in the physics of the cosmic microwave background and sonoluminescence | [['we', 'investigate', 'the', 'radiation', 'of', 'a', 'blackbody', 'in', 'a', 'cavity', 'of', 'finite', 'size', 'for', 'a', 'given', 'geometry', 'we', 'use', 'semiclassical', 'techniques', 'to', 'obtain', 'explicit', 'expressions', 'of', 'the', 'modified', 'plancks', 'and', 'stefanboltzmanns', 'blackbody', 'radiation', 'laws', 'as', 'a', 'function', 'of', 'the', 'size', 'and', 'shape', 'of', 'the', 'cavity', 'we', 'determine', 'the', 'range', 'of', 'parameters', 'temperature', 'size', 'and', 'shape', 'of', 'the', 'cavity', 'for', 'which', 'these', 'effects', 'are', 'accessible', 'to', 'experimental', 'verification', 'finally', 'we', 'discuss', 'potential', 'applications', 'of', 'our', 'findings', 'in', 'the', 'physics', 'of', 'the', 'cosmic', 'microwave', 'background', 'and', 'sonoluminescence']] | [-0.07459018569549217, 0.11987355019458953, -0.08722941966398674, 0.05152504113228882, -0.06514701064237777, -0.07612413593074854, 0.036334594419938235, 0.35897091964588446, -0.23125197869889877, -0.3116517465123359, 0.06510908955653362, -0.25939709452693077, -0.06551457419991494, 0.2548990186961258, -0.03664042911601856, 0.05351283241282491, -0.038340968430480536, 0.009784872282077285, -0.05498578938491204, -0.16910433466546237, 0.3041774893973899, 0.11934605883982252, 0.22827431694330538, 0.11263267040690955, 0.09743056820486398, -0.019728490293902508, -0.0337950310395921, 0.03267545842510813, -0.20618301844224335, 0.10019335358622758, 0.19632310398361263, 0.1267146254889667, 0.20374491468948477, -0.42253243020352194, -0.24291130819303147, 0.0796776037896052, 0.11058594011838603, 0.1654630647164167, -0.06354608403190094, -0.22465557517648183, 0.013623022315475871, -0.1777853922918439, -0.17597918690127484, -0.03496249756666229, 0.01995142692809596, 0.04326809889719109, -0.2604028835454408, 0.0382296847015181, 0.04913120334967971, 0.03752431558335528, -0.10055460958905957, -0.07591478054083008, 0.04282378326170146, 0.11285510180408463, 0.0027078709510319375, -0.04018900714513353, 0.18793780962005258, -0.15356574918636504, -0.08334428762797924, 0.3857603449593572, -0.09145127321552375, -0.14053675503853488, 0.1504541285445585, -0.18106780088890126, -0.07232612731373485, 0.09053136577062747, 0.1823503582026152, 0.08845566729741061, -0.11349842603701879, 0.10402925592737601, 0.012837119219715105, 0.20113891731290257, 0.08350319341372918, 0.06989171574001803, 0.24398499839007853, 0.14383457032415797, -0.02485440253992291, 0.21116503500105704, -0.1048118900425513, -0.03574113192255882, -0.3699603898341165, -0.12810909721781225, -0.18663072750410614, 0.05200456187457723, -0.14845765448271242, -0.22039950093364014, 0.4041578302050338, 0.17940019954215078, 0.19460605272256276, 0.04510770590345868, 0.31326436825534876, 0.1256953905665261, 0.03753185247016304, 0.025282101656365043, 0.2709160256103667, 0.14654605150058428, 0.08315550829557812, -0.28348339715397314, -0.0261922113433042, 0.0034029065466978973] |
709.1288 | SU(4) and SU(2) Kondo Effects in Carbon Nanotube Quantum Dots | We study the SU(4) Kondo effect in carbon nanotube quantum dots, where doubly
degenerate orbitals form 4-electron ``shells''. The SU(4) Kondo behavior is
investigated for one, two and three electrons in the topmost shell. While the
Kondo state of two electrons is quenched by magnetic field, in case of an odd
number of electrons two types of SU(2) Kondo effect may survive. Namely, the
spin SU(2) state is realized in the magnetic field parallel to the nanotube
(inducing primarily orbital splitting). Application of the perpendicular field
(inducing Zeeman splitting) results in the orbital SU(2) Kondo effect.
| cond-mat.mes-hall cond-mat.str-el | we study the su4 kondo effect in carbon nanotube quantum dots where doubly degenerate orbitals form 4electron shells the su4 kondo behavior is investigated for one two and three electrons in the topmost shell while the kondo state of two electrons is quenched by magnetic field in case of an odd number of electrons two types of su2 kondo effect may survive namely the spin su2 state is realized in the magnetic field parallel to the nanotube inducing primarily orbital splitting application of the perpendicular field inducing zeeman splitting results in the orbital su2 kondo effect | [['we', 'study', 'the', 'su4', 'kondo', 'effect', 'in', 'carbon', 'nanotube', 'quantum', 'dots', 'where', 'doubly', 'degenerate', 'orbitals', 'form', '4electron', 'shells', 'the', 'su4', 'kondo', 'behavior', 'is', 'investigated', 'for', 'one', 'two', 'and', 'three', 'electrons', 'in', 'the', 'topmost', 'shell', 'while', 'the', 'kondo', 'state', 'of', 'two', 'electrons', 'is', 'quenched', 'by', 'magnetic', 'field', 'in', 'case', 'of', 'an', 'odd', 'number', 'of', 'electrons', 'two', 'types', 'of', 'su2', 'kondo', 'effect', 'may', 'survive', 'namely', 'the', 'spin', 'su2', 'state', 'is', 'realized', 'in', 'the', 'magnetic', 'field', 'parallel', 'to', 'the', 'nanotube', 'inducing', 'primarily', 'orbital', 'splitting', 'application', 'of', 'the', 'perpendicular', 'field', 'inducing', 'zeeman', 'splitting', 'results', 'in', 'the', 'orbital', 'su2', 'kondo', 'effect']] | [-0.24637396449300772, 0.27721966699406647, 0.006785413779046697, 0.0944280535610839, 0.0036343966833859063, -0.18069061829010025, -0.005079806494298585, 0.38429109738838935, -0.2321282746270299, -0.2753975192123714, -0.0345375898432394, -0.2776048131830369, -0.04798283928539604, 0.10499214819962314, 0.08251678328088019, -0.09351972089886355, -0.013378432634150764, -0.006963117865476913, -0.09692067664597441, -0.25624084304096567, 0.3299280828408276, -0.05466938573105532, 0.28601629921467975, 0.09223856128907452, -0.001352551868573452, 0.024872096711381648, 0.19165909754034752, -0.0027402809622193067, -0.057761504353644945, 0.020786567891870316, 0.20482009419265523, -0.15686677100893576, 0.21997580813088766, -0.47908328130142763, -0.1213097261885802, 0.015127088035418032, 0.18377665088822445, 0.19553676597812833, -0.06919774901083049, -0.29458959335412754, 0.0007218781587046882, -0.17867252817814006, -0.13165192814873686, -0.038408604625146836, -0.02947038068305119, -0.08442672359584928, -0.25682683298752335, 0.08106881914621529, 0.09557795544969849, 0.11288840362006643, -0.07022210625291336, -0.16085661524751535, -0.09181756644587342, 0.04030941392314465, 0.12159050162517815, 0.03165544960696328, 0.17739728448699074, -0.12405516128152765, -0.15355614337750012, 0.377379816180716, -0.07886683816468576, -0.12401761983831723, 0.11948013203800656, -0.20813169411364166, -0.1020379557206373, 0.142924150073668, 0.08204791691969149, 0.10018795821815729, -0.11014423216450571, 0.14168573151922223, -0.03342181349095578, 0.09903175874690835, 0.014231193121910716, 0.09123603601862366, 0.2701963807558059, 0.15282068605301902, 0.059846455779431075, 0.1625413613243533, -0.16600054603380462, -0.1618651372215633, -0.18647775017113113, -0.17137368434244613, -0.24446743221293823, 0.1309316411158458, -0.04742236118651514, -0.16433077135297935, 0.44077139748211874, 0.08950454492029773, 0.1498350767312028, -0.15202648315850334, 0.2386751733138226, 0.08569533085877386, 0.043793676556864135, 0.018336571143663605, 0.23128681651238972, 0.24733550557721173, 0.016737763723843575, -0.39510366194008384, -0.04173713429190684, 0.06369006074965] |
709.1289 | A two-parameter generalization of the complete elliptic integral of the
second kind | The two parameter generalization of the complete elliptic integral of the
second kind discussed recently by Barsan is expressed in terms of ordinary
complete elliptic integrals.
| math-ph math.MP | the two parameter generalization of the complete elliptic integral of the second kind discussed recently by barsan is expressed in terms of ordinary complete elliptic integrals | [['the', 'two', 'parameter', 'generalization', 'of', 'the', 'complete', 'elliptic', 'integral', 'of', 'the', 'second', 'kind', 'discussed', 'recently', 'by', 'barsan', 'is', 'expressed', 'in', 'terms', 'of', 'ordinary', 'complete', 'elliptic', 'integrals']] | [-0.19941648408770563, 0.0457150910794735, -0.055074886307120326, 0.09379422361496836, -0.1342365002632141, -0.021707802191376687, -0.08742810320109129, 0.1907084560021758, -0.26753019511699677, -0.29757113456726075, 0.10420098524075001, -0.2800643629953265, -0.1526522470265627, 0.2565293578058481, -0.10044691987335681, 0.10922436408698559, 0.07223755374550819, 0.14653203405439855, -0.11875849165022373, -0.3196888630837202, 0.413935225866735, -0.07757636293768883, 0.16681104376912118, 0.03473964858800173, 0.1445465607382357, 0.09399311868473888, -0.11916087079793215, 0.026874243170022964, -0.15086754515767098, 0.1737447601929307, 0.31282454293221235, -0.03644569158554077, 0.21890016436576842, -0.3655317575484514, -0.19009247686713934, 0.13326743450015782, 0.14048833198845387, -0.043303133994340895, 0.025529804825782775, -0.2315642488002777, 0.012606300204060972, -0.1807582350075245, -0.25267751203849914, -0.10551452836021781, 0.011791046857833862, 0.09084780625998974, -0.25864642500877383, 0.1312292329967022, 0.09539764210581779, 0.0807326655491488, -0.008295837584882974, -0.12199906468391418, -0.017104583755135537, 0.01514729805290699, -0.009014106849208474, 0.0021761552058160304, -0.04590671360492706, -0.12298203993588686, -0.15571806460618973, 0.36036579594016077, -0.09484413637313992, -0.25485317841172217, 0.0021075165271759034, -0.13586872892454266, -0.11926788657903671, 0.1842089432105422, 0.11184431262314319, 0.21676277540624142, -0.17554006069898606, 0.10167900502681732, -0.04688413206487894, 0.041996567249298095, 0.09308519262820482, 0.014212380573153495, 0.10062376286834479, 0.08534402973949909, 0.008613888435065746, 0.22387390792369843, 0.07007130421698093, -0.20746469996869565, -0.4140392079949379, -0.2238701504468918, -0.14817799091339112, 0.053774059154093265, -0.10275081999599933, -0.1837657018005848, 0.43859367944300176, -0.01739960551261902, 0.18622746735811233, -0.03741094700992107, 0.2450908137857914, 0.2589600981771946, 0.051413138806819914, -0.048423753418028355, 0.24330262187868357, 0.16121500321663917, 0.09241684548556804, -0.21010625011869707, 0.04530067317187786, 0.257804211108014] |
709.129 | Supersymmetric version of a Gaussian irrotational compressible fluid
flow | The Lie point symmetries and corresponding invariant solutions are obtained
for a Gaussian, irrotational, compressible fluid flow. A supersymmetric
extension of this model is then formulated through the use of a superspace and
superfield formalism. The Lie superalgebra of this extended model is determined
and a classification of its subalgebras is performed. The method of symmetry
reduction is systematically applied in order to derive special classes of
invariant solutions of the supersymmetric model. Several new types of
algebraic, hyperbolic, multi-solitonic and doubly periodic solutions are
obtained in explicit form.
| math-ph math.MP | the lie point symmetries and corresponding invariant solutions are obtained for a gaussian irrotational compressible fluid flow a supersymmetric extension of this model is then formulated through the use of a superspace and superfield formalism the lie superalgebra of this extended model is determined and a classification of its subalgebras is performed the method of symmetry reduction is systematically applied in order to derive special classes of invariant solutions of the supersymmetric model several new types of algebraic hyperbolic multisolitonic and doubly periodic solutions are obtained in explicit form | [['the', 'lie', 'point', 'symmetries', 'and', 'corresponding', 'invariant', 'solutions', 'are', 'obtained', 'for', 'a', 'gaussian', 'irrotational', 'compressible', 'fluid', 'flow', 'a', 'supersymmetric', 'extension', 'of', 'this', 'model', 'is', 'then', 'formulated', 'through', 'the', 'use', 'of', 'a', 'superspace', 'and', 'superfield', 'formalism', 'the', 'lie', 'superalgebra', 'of', 'this', 'extended', 'model', 'is', 'determined', 'and', 'a', 'classification', 'of', 'its', 'subalgebras', 'is', 'performed', 'the', 'method', 'of', 'symmetry', 'reduction', 'is', 'systematically', 'applied', 'in', 'order', 'to', 'derive', 'special', 'classes', 'of', 'invariant', 'solutions', 'of', 'the', 'supersymmetric', 'model', 'several', 'new', 'types', 'of', 'algebraic', 'hyperbolic', 'multisolitonic', 'and', 'doubly', 'periodic', 'solutions', 'are', 'obtained', 'in', 'explicit', 'form']] | [-0.14696944563576345, 0.05854418759072053, -0.07988791623979472, 0.08875720666229642, -0.10070710560683621, -0.16366851012212005, -0.027798490052038195, 0.30362946527560103, -0.25797127488362237, -0.24164892476460154, 0.14971715211083464, -0.24156756622434247, -0.14861430981186, 0.14510679378414923, -0.04029145466132362, 0.08115999177137516, 0.020886755289426177, 0.0785118856551021, -0.12802895063304165, -0.2202799570997863, 0.33279787508111575, -0.05858732711816771, 0.24507777109543344, -0.029931177327597744, 0.15786565540965353, -0.03190855329249347, -0.03421082663653272, 0.008956868230271038, -0.13947671944317355, 0.14555344027937966, 0.23974392764019162, 0.05219409579222792, 0.13508959069293452, -0.37420915472164246, -0.20377699758731918, 0.10538784346511859, 0.1783414703762431, 0.12180720482105284, -0.03219542268459591, -0.3129167396240355, 0.07416174218079515, -0.20608812097585602, -0.19141662514799934, -0.0996079336946014, 0.0012044499868924699, -0.03324244425663452, -0.2654692555746336, 0.09068977708792252, 0.06490002388364813, 0.08782818501166413, -0.12219882043983704, -0.06388437824737113, -0.07067105413697074, 0.044142597454359354, 0.04757703191030436, 0.000988021121475469, 0.09720547447305465, -0.1228227290753903, -0.11679268624696336, 0.42698723697260527, -0.037142869468328406, -0.3195832189171852, 0.13755968101113364, -0.08081315875346406, -0.16461841735905142, 0.15022184625804277, 0.16533402984522366, 0.18139898729918713, -0.16778508028580566, 0.19681560503727014, -0.0978184895213233, 0.06665764106967319, 0.06903942520573234, -0.049981358563108896, 0.16362768613597314, 0.15301863704755736, 0.040214260433162195, 0.17150364073746827, 0.003993188732125786, -0.11835846545049146, -0.3894263688433036, -0.15860950282950306, -0.09936441753185198, 0.06613670840984985, -0.09264760569530654, -0.15471721452064394, 0.44999608408732944, 0.09301411716288395, 0.13713050411302555, 0.08161500238635566, 0.20983261341919726, 0.15450101984426734, 0.05240533450419565, 0.04241352200801118, 0.21495186753330356, 0.2226197680411337, 0.039298466124226536, -0.18010409633116273, -0.09473176591433166, 0.18959781982193] |
709.1291 | On D.K. Biss' papers "The homotopy type of the matroid Grassmannian" and
"Oriented matroids, complex manifolds, and a combinatorial model for BU" | We point out a flaw in papers by Daniel Biss devoted to homotopy type of
matroid Grassmannians.
| math.CO math.AT | we point out a flaw in papers by daniel biss devoted to homotopy type of matroid grassmannians | [['we', 'point', 'out', 'a', 'flaw', 'in', 'papers', 'by', 'daniel', 'biss', 'devoted', 'to', 'homotopy', 'type', 'of', 'matroid', 'grassmannians']] | [-0.18409031870610573, -0.07492049471201266, -0.055283794289126116, 0.03037758601610275, -0.17057223826208534, -0.14201336482758908, 0.13173075984506047, 0.2803432279649903, -0.2758175849038012, -0.1723811887204647, 0.07359447293428649, -0.2573637844008558, -0.21979534264434786, 0.14258315381320083, -0.30923394864315495, -0.011769011342788445, 0.04896378089838168, -0.052161340492174905, -0.029118396615719095, -0.380898625096854, 0.4621419485877542, 0.07642383194145035, 0.16503544993675484, 0.014459796140299123, 0.049625286065480285, 0.013333277119433178, -0.12426358324420803, 0.05656449737794259, -0.18541682133560672, 0.05985567703678766, 0.42137833597028956, 0.10109904430368367, 0.30264898564885645, -0.3715711748775314, -0.06574647145017105, 0.1758674617637606, 0.11099545350846123, 0.0060995461638359465, 0.01437548904077095, -0.2909344088505296, 0.029612352331990704, -0.14589368727277308, -0.16565772069289403, -0.03004800314631532, 0.09793477615012842, -0.0015888728530091397, -0.12817177746225805, -0.14799457262544072, 0.09227246604859829, 0.2114100985995987, 0.06085075359955868, -0.16043611440588446, 0.03514033183455467, 0.023641028578447944, 0.04617150579853093, 0.0908710908226888, 0.04961832593578626, -0.0010591679636169883, -0.20733965845669017, 0.38170648475780206, 0.00952914121615536, -0.13191941665375934, 0.08206678665352657, -0.07551739444298779, -0.30160361243521466, 0.21358141434543274, 0.028681756682036555, 0.14982951531077132, -0.10730149750323857, 0.1562022825374323, -0.10256203850183417, 0.03759730191771215, 0.1587700363358154, -0.09862046913408182, 0.24234274802181652, 0.08643934547024615, 0.030316978254738974, 0.1618986865505576, 0.0642079605775721, -0.07136960376930587, -0.2720982953906059, -0.19269796071217998, -0.11233439121176214, 0.21635273274253397, 0.021398750079028746, -0.14066209750907385, 0.3890671642387615, 0.1338040373452446, 0.07000357811065282, 0.05498464367188075, 0.1463558603735531, -0.09331320819225819, 0.009886562166845097, 0.01647571857799502, 0.2617340371122255, 0.3006075020359062, 0.15208485747194467, 0.0027113410041612737, -0.07711773061686579, 0.4224258822882] |
709.1292 | A semiclassical theory of the Anderson transition | We study analytically the metal-insulator transition in a disordered
conductor by combining the self-consistent theory of localization with the one
parameter scaling theory. We provide explicit expressions of the critical
exponents and the critical disorder as a function of the spatial
dimensionality, $d$. The critical exponent $\nu$ controlling the divergence of
the localization length at the transition is found to be $\nu = {1 \over 2}+ {1
\over {d-2}}$. This result confirms that the upper critical dimension is
infinity. Level statistics are investigated in detail. We show that the two
level correlation function decays exponentially and the number variance is
linear with a slope which is an increasing function of the spatial
dimensionality.
| cond-mat.dis-nn | we study analytically the metalinsulator transition in a disordered conductor by combining the selfconsistent theory of localization with the one parameter scaling theory we provide explicit expressions of the critical exponents and the critical disorder as a function of the spatial dimensionality d the critical exponent nu controlling the divergence of the localization length at the transition is found to be nu 1 over 2 1 over d2 this result confirms that the upper critical dimension is infinity level statistics are investigated in detail we show that the two level correlation function decays exponentially and the number variance is linear with a slope which is an increasing function of the spatial dimensionality | [['we', 'study', 'analytically', 'the', 'metalinsulator', 'transition', 'in', 'a', 'disordered', 'conductor', 'by', 'combining', 'the', 'selfconsistent', 'theory', 'of', 'localization', 'with', 'the', 'one', 'parameter', 'scaling', 'theory', 'we', 'provide', 'explicit', 'expressions', 'of', 'the', 'critical', 'exponents', 'and', 'the', 'critical', 'disorder', 'as', 'a', 'function', 'of', 'the', 'spatial', 'dimensionality', 'd', 'the', 'critical', 'exponent', 'nu', 'controlling', 'the', 'divergence', 'of', 'the', 'localization', 'length', 'at', 'the', 'transition', 'is', 'found', 'to', 'be', 'nu', '1', 'over', '2', '1', 'over', 'd2', 'this', 'result', 'confirms', 'that', 'the', 'upper', 'critical', 'dimension', 'is', 'infinity', 'level', 'statistics', 'are', 'investigated', 'in', 'detail', 'we', 'show', 'that', 'the', 'two', 'level', 'correlation', 'function', 'decays', 'exponentially', 'and', 'the', 'number', 'variance', 'is', 'linear', 'with', 'a', 'slope', 'which', 'is', 'an', 'increasing', 'function', 'of', 'the', 'spatial', 'dimensionality']] | [-0.15737407881533727, 0.18369216156458737, -0.07164437915032197, 0.06868898275882072, 0.034157160064101584, -0.15294134542429155, 0.052136922664690895, 0.30168777169248123, -0.24996678639269834, -0.23893733694317884, 0.06059767370087294, -0.32033368827770964, -0.17806416084723814, 0.1573567637159223, 0.04130690100802375, 0.07733585398299121, -0.06983455247661498, 0.06565948700283895, -0.09234331072158446, -0.22423069425609096, 0.3345682667152557, 0.04269120431438621, 0.3000747877397641, 0.08732121152154702, 0.03474826595473652, 0.0044689160755037195, 0.03545698724753622, 0.03279850943882983, -0.19994556431590485, 0.06907365895209036, 0.22034427314792993, 0.039177659242081324, 0.26874837171219823, -0.3154159633309713, -0.22530011657675328, 0.09096859722298437, 0.18260183636448346, 0.08736914276856364, 0.017168233457985998, -0.25214982968256144, 0.11146490815528003, -0.12766029604037094, -0.16974250887869857, -0.03240654930206282, 0.05889536694823099, 0.0077074022223574245, -0.2918117901509894, 0.11349908105330542, 0.050133000660155504, 0.12073354422812242, -0.04978762505093722, -0.10096492084890737, 0.011960615678357758, 0.14030233043532853, 0.07719925231097997, 0.07723213802975286, 0.11034757070592605, -0.1595480831518736, -0.07723900136781074, 0.28405268215906937, -0.05224529994718198, -0.20706391236412205, 0.17270828092504026, -0.2236461124141767, -0.09967508770932909, 0.1589935022057034, 0.12582930500086928, 0.0730221299787185, -0.06731889748022825, 0.1373034742168134, -0.00476078810502908, 0.21327184696149612, 0.03308071890829264, 0.02397932331742985, 0.1327390927887921, 0.1763166396995075, 0.08615718222323007, 0.1552027251610915, -0.11408739993722909, -0.07714540863526054, -0.3274488954838099, -0.1590812048733434, -0.2252869552134403, 0.07422183849433038, -0.17202668166360777, -0.16066381496992627, 0.3886918070077497, 0.14772892851449018, 0.2522380445755386, 0.10243780032968582, 0.24098748292141994, 0.2388528900410165, 0.02802534773737924, 0.05777193664315356, 0.20740297356262868, 0.11126484601845732, 0.05143192956581645, -0.24310107305063866, 0.04336328972879398, 0.1022588334412181] |
709.1293 | Weakly interacting Bose gases below the critical temperature | We consider a homogeneous non-ideal Bose gas at nonzero temperature in
equilibrium below the critical temperature $T_C$ in the framework of finite
temperature field theory. An algorithm is described in which a manageable
subset of diagrams can be considered which, coupled with a self--consistent
condition related to the minimization of the free energy, can be used to obtain
physically reasonable results.
| cond-mat.other | we consider a homogeneous nonideal bose gas at nonzero temperature in equilibrium below the critical temperature t_c in the framework of finite temperature field theory an algorithm is described in which a manageable subset of diagrams can be considered which coupled with a selfconsistent condition related to the minimization of the free energy can be used to obtain physically reasonable results | [['we', 'consider', 'a', 'homogeneous', 'nonideal', 'bose', 'gas', 'at', 'nonzero', 'temperature', 'in', 'equilibrium', 'below', 'the', 'critical', 'temperature', 't_c', 'in', 'the', 'framework', 'of', 'finite', 'temperature', 'field', 'theory', 'an', 'algorithm', 'is', 'described', 'in', 'which', 'a', 'manageable', 'subset', 'of', 'diagrams', 'can', 'be', 'considered', 'which', 'coupled', 'with', 'a', 'selfconsistent', 'condition', 'related', 'to', 'the', 'minimization', 'of', 'the', 'free', 'energy', 'can', 'be', 'used', 'to', 'obtain', 'physically', 'reasonable', 'results']] | [-0.13037633483744698, 0.19628413517975637, -0.09257287746600684, 0.045623288697899, -0.015229782883505353, -0.16304285202144844, 0.049921216891666294, 0.3309852618754643, -0.2514311541024534, -0.27971672538484704, 0.04830355195855325, -0.2277933922519938, -0.042677807781967475, 0.18223473136542273, -0.021790937184676774, 0.03865825734482926, -0.03440198045773584, 0.08579630871898815, -0.11129038129001856, -0.2492704942066711, 0.30390182129092147, 0.06069221546049001, 0.2648088076747343, 0.11105386667014634, 0.06625186112999427, -0.05045768639576606, 0.06117488148423736, 0.12028584446849637, -0.19753176295656527, -0.0005650898808094322, 0.2981145048788825, 0.03560832494747688, 0.2401593937767578, -0.41272717757058924, -0.2462179090400211, 0.10781577858524244, 0.13002434785126663, 0.13000969339513266, -0.0038118741062820936, -0.22703552710228278, 0.05504996939867613, -0.1684811371912966, -0.21121510348882008, -0.09688339419815628, -0.07076525310107858, -0.008724409178448994, -0.3141328803965914, 0.12189563983654389, 0.014200130050055316, 0.046770397886694945, -0.11706248012783586, -0.07799851651624089, -0.014237637440750345, 0.04857253583270262, -0.018926025549575808, 0.07077750844545051, 0.14039120104041744, -0.11874452748595447, -0.01512270332237736, 0.3929483963207143, -0.12343458336640577, -0.18329282746207518, 0.16519276522954957, -0.11549239836205713, -0.07958578930969243, 0.19576315727603974, 0.14502297018150814, 0.10846090703805694, -0.19925705647309783, 0.10009990768427446, -0.07217929035913749, 0.14595195150277654, 0.02161847377104349, -0.008104371784835076, 0.2470723748146022, 0.1520730891707735, 0.06014900904942731, 0.17266328506110634, -0.001971145523101336, -0.12005981876224768, -0.33326837167021683, -0.12127661045457495, -0.19055438301235925, 0.05986278554516249, -0.08267419748618955, -0.20886318323003952, 0.3398559082024654, 0.16896272879704588, 0.19518855559309473, -0.010592394351928693, 0.28341858559211747, 0.21893878000192954, 0.04583665726278893, 0.09006562994670916, 0.18651367285762166, 0.16962826003885415, 0.05689345303251118, -0.24436907928635473, -0.01307063615025922, 0.05618994817382] |
709.1294 | Evolving small-world scale-free networks consist of cliques | We present a family of scale-free network model consisting of cliques, which
is established by a simple recursive algorithm. We investigate the networks
both analytically and numerically. The obtained analytical solutions show that
the networks follow a power-law degree distribution, with degree exponent
continuously tuned between 2 and 3. The exact expression of clustering
coefficient is also provided for the networks. Furthermore, the investigation
of the average path length reveals that the networks possess small-world
feature. Interestingly, we find that a special case of our model can be mapped
into the Yule process.
| physics.soc-ph | we present a family of scalefree network model consisting of cliques which is established by a simple recursive algorithm we investigate the networks both analytically and numerically the obtained analytical solutions show that the networks follow a powerlaw degree distribution with degree exponent continuously tuned between 2 and 3 the exact expression of clustering coefficient is also provided for the networks furthermore the investigation of the average path length reveals that the networks possess smallworld feature interestingly we find that a special case of our model can be mapped into the yule process | [['we', 'present', 'a', 'family', 'of', 'scalefree', 'network', 'model', 'consisting', 'of', 'cliques', 'which', 'is', 'established', 'by', 'a', 'simple', 'recursive', 'algorithm', 'we', 'investigate', 'the', 'networks', 'both', 'analytically', 'and', 'numerically', 'the', 'obtained', 'analytical', 'solutions', 'show', 'that', 'the', 'networks', 'follow', 'a', 'powerlaw', 'degree', 'distribution', 'with', 'degree', 'exponent', 'continuously', 'tuned', 'between', '2', 'and', '3', 'the', 'exact', 'expression', 'of', 'clustering', 'coefficient', 'is', 'also', 'provided', 'for', 'the', 'networks', 'furthermore', 'the', 'investigation', 'of', 'the', 'average', 'path', 'length', 'reveals', 'that', 'the', 'networks', 'possess', 'smallworld', 'feature', 'interestingly', 'we', 'find', 'that', 'a', 'special', 'case', 'of', 'our', 'model', 'can', 'be', 'mapped', 'into', 'the', 'yule', 'process']] | [-0.15212114818233957, 0.05962695983508902, -0.09324243559091482, 0.06384643020621336, -0.010268561863115118, -0.1754474362398508, 0.053941411163998386, 0.40957863244318193, -0.26281055587253743, -0.2709197470998412, 0.043155712831605186, -0.24566928410066433, -0.2732692194641918, 0.17283261719069654, 0.044213870360005285, 0.01909905303550023, 0.0708205524095965, 0.04945362137579885, -0.0013639415659370921, -0.22796307825633594, 0.32311439512658024, 0.0416942648476951, 0.2953082154234571, 0.026503192741544015, 0.11997647490602747, -0.011339601238041626, 0.0006649858288226589, 0.07973019309437043, -0.16608870751842522, 0.11172066933365278, 0.17471497493135113, 0.12205353798344731, 0.22251912469535023, -0.3782247178737194, -0.25957601911498496, 0.14907217054297367, 0.18050201103011126, 0.09799265483849912, -0.0006162348974456069, -0.2534471630013638, 0.11294323867387189, -0.18197719091881237, -0.14960445120670302, -0.08015756323553061, 0.021086435950291093, 0.06009367909232375, -0.2978793101445321, 0.07756874997447925, 0.07632699482623607, 0.02321993105954701, -0.018754815121972433, -0.10259899948673543, -0.043392552991688094, 0.13058006090001875, 0.004421366367203381, -0.010580202189063834, 0.07004208273945316, -0.13142251159109536, -0.12081450762187121, 0.30888703590827266, -0.05345577222635589, -0.1929054426189552, 0.11858030904324786, -0.10925960852714475, -0.13171004474924136, 0.10894915248863199, 0.17036763162562443, 0.1084881251056989, -0.1534327271003877, 0.057782713758198406, -0.08501006241747609, 0.1947458399740118, 0.04094478633174653, -0.009530518096320892, 0.13922657818329753, 0.18786953220404284, 0.04923983956486868, 0.21519003895872463, -0.06747133400972172, -0.12307289550681749, -0.2393849386423025, -0.10246806086406553, -0.21155268225258075, 0.06102158583610529, -0.19459500588114895, -0.15998038144717094, 0.44824524926802806, 0.12519634847018507, 0.23871946510087738, 0.1845856874252379, 0.21098606737070186, 0.13852967164774616, 0.05314877018412595, 0.1302760158745592, 0.19521446770397566, 0.09340031671222619, 0.06732553097429456, -0.18340571367892847, 0.09283911727709315, 0.05939289313610843] |
709.1295 | A Rationality Problem of Some Cremona Transformation | We will show the rationality of the function field of two variables under
certain Cremona transformation.
| math.AG math.RA | we will show the rationality of the function field of two variables under certain cremona transformation | [['we', 'will', 'show', 'the', 'rationality', 'of', 'the', 'function', 'field', 'of', 'two', 'variables', 'under', 'certain', 'cremona', 'transformation']] | [-0.26422192133031785, 0.08831985510187224, -0.14986077568028122, 0.024121833383105695, -0.06402091030031443, -0.030195962521247566, 0.0033360254019498825, 0.3974619684740901, -0.3696668199263513, -0.2288693634327501, 0.06159888233378297, -0.1993298212182708, -0.23701788252219558, 0.18513969611376524, -0.1407474058214575, 0.03997891861945391, -0.02684511273400858, 0.07684753555804491, -0.1533865983656142, -0.41307501308619976, 0.44272201135754585, -0.08014953916426748, 0.28320282843196765, -0.0008621068736829329, 0.15969308256171644, 0.11668165429728106, 0.037842110497877, -0.011852610856294632, -0.11086270166561007, 0.01417801296338439, 0.18108656583353877, 0.2314856571611017, 0.29206136520951986, -0.38929354725405574, -0.13146168529056013, 0.14375770010519773, 0.05445336631964892, 0.028466597839724272, 0.005164879374206066, -0.21988666825927794, 0.020487331552430987, -0.08677907221135683, -0.12257277208846062, -0.11432168399915099, -0.04858651899121469, 0.14848760144377593, -0.2789306521881372, -0.06506989193371737, 0.09265545077505521, 0.16484984423732385, -0.12161042366642505, -0.10278584554907866, -0.02404324838425964, 0.05044428166002035, 0.12480190955102444, 0.024693833373021334, 0.15905941897653975, -0.17435312236193568, -0.03943334473297, 0.38569718273356557, -0.05302257090806961, -0.23135207581799477, 0.14520379126770422, -0.2311602532863617, -0.18926611123606563, 0.06018481363571482, 0.10424666327890009, 0.09702904627192765, -0.13408640073612332, 0.10421443975064903, -0.12378747400362045, 0.12467069469857961, 0.0860255389707163, -0.041695905732922256, 0.13544931256910786, 0.006366067565977573, 0.09002148453146219, 0.20849411352537572, -0.022287202533334494, -0.042553796200081706, -0.41682247072458267, -0.2304155840538442, -0.06379446992650628, 0.11995615973137319, -0.13442000921349972, -0.12986538861878216, 0.4515822429675609, 0.16504787444137037, 0.11629693699069321, 0.10111056642199401, 0.1521030948497355, 0.13649863214232028, 0.023912450531497598, -0.002277742139995098, 0.20960717229172587, 0.14847085119981784, -0.04204967321129516, -0.18892779503948987, 0.010717780503910035, 0.11654133442789316] |
709.1296 | Twisted Symmetric Group Actions | We will show the raitonality of some twisted symmetric group actions.
| math.AG math.RA | we will show the raitonality of some twisted symmetric group actions | [['we', 'will', 'show', 'the', 'raitonality', 'of', 'some', 'twisted', 'symmetric', 'group', 'actions']] | [-0.3043003298342228, 0.22209749156609176, -0.12533892691135406, 0.05137750543653965, -0.15353654846549034, -0.04240074492990971, -0.02106029223650694, 0.5442333370447159, -0.2849741689860821, -0.14698389247059823, 0.19046879704110325, -0.22584692239761353, -0.24421844631433487, 0.15477382391691208, -0.18457656409591436, -0.06670383214950562, 0.0659744068980217, 0.21129257306456567, -0.2240875843912363, -0.2868303172290325, 0.42996870130300524, -0.0592278603464365, 0.20234539033845067, 0.0683546505868435, 0.01776212640106678, 0.022491153376176954, -0.10188945000991226, 0.004582859762012959, -0.08726631719619035, 0.129017224162817, 0.19012750051915644, 0.04286024048924446, 0.2010695680975914, -0.39886038303375243, -0.1518534507602453, 0.1411429088562727, 0.07312706001102924, 0.08730791490525007, -0.11809207834303379, -0.3438579857349396, 0.1427195068448782, -0.2985367655754089, -0.19608598202466965, -0.08864753507077694, -0.034562742710113524, 0.05543031916022301, -0.2380449078977108, -0.0978755159303546, 0.02735864920541644, 0.0032727147452533247, -0.11657752022147179, -0.09543742761015891, -0.07504886202514172, 0.20270836208947002, 0.019018727354705334, -0.11600485541857779, 0.1535360457841307, -0.11650782246142626, -0.13504299130290748, 0.42246884256601336, -0.06937168315052986, -0.20832385290414096, 0.12610069159418344, -0.27715329453349113, -0.2402552466839552, 0.017577431909739972, 0.12510227411985397, 0.18601804599165916, 0.02140053138136864, 0.07770415022969246, -0.22569522373378276, 0.09270318768685684, -0.0005645108409225941, -0.027771477401256562, 0.15751196183264254, -0.0055678018368780615, 0.11887346943840385, 0.17350020026788116, 0.03619988355785608, -0.05042623318731785, -0.3971691220998764, -0.20709296986460685, 0.02711778096854687, 0.19295895509421826, -0.05929901655763388, -0.09570498429238797, 0.4163737166672945, 0.12234493046998977, 0.11264279559254646, 0.10012638114858419, 0.11945208758115769, 0.031916037946939466, 0.041639437060803176, 0.0710715364664793, 0.12815271081926766, 0.12849915651604532, -0.10100843496620655, -0.20386786721646785, -0.13205276574008168, 0.15904905572533606] |
709.1297 | Reduction theorems for Noether's problem | We will give several reduction theorems for Noether's problem.
| math.RA math.AG | we will give several reduction theorems for noethers problem | [['we', 'will', 'give', 'several', 'reduction', 'theorems', 'for', 'noethers', 'problem']] | [-0.20074921598037085, 0.022119370082186326, -0.14053994965636069, 0.2190855865677198, -0.1812369173599614, -0.09748232561267084, 0.04523614376214229, 0.2725454154941771, -0.3336596108145184, -0.3581793995367156, 0.22039688870103824, -0.2648276335870226, -0.06927854919599162, 0.32506584458880955, -0.23347242259316975, 0.045055927294823855, 0.10686928934107225, -0.03913855863114198, -0.16009902416004074, -0.3564921627855963, 0.29766201145119137, -0.10190179281764561, 0.1496941071624557, 0.26234815766414005, 0.14108922332525253, 0.1237405493027634, -0.08710151289900143, -0.046998153958055705, -0.2905749015044421, 0.1123858485241524, 0.4238521030379666, 0.20843905003534424, 0.29159536957740784, -0.45238127145502305, -0.13728043111041188, 0.1969210028441416, 0.09733278826913899, 0.2761358337269889, -0.0679920125597467, -0.17366563280423483, 0.1764430192609628, -0.11146033679445584, -0.18850605567503306, -0.165397716479169, 0.015156727284193039, -0.061925437301397324, -0.23249384802248743, 0.08735525897807545, 0.23813489058779347, 0.051402575336396694, -0.11838693999581867, -0.1652494797276126, 0.1768149804427392, 0.06343782113658057, 0.05992895716594325, -0.0789346992969513, 0.11512867180216643, -0.025512360864215426, -0.2696385611262586, 0.38883713881174725, 0.01448435770968596, -0.2776112034916878, 0.058423776593473226, 0.04568469896912575, -0.37668490409851074, 0.02820463478565216, 0.1238820536269082, 0.10473787370655271, -0.17859836336639193, 0.06570963520142767, -0.12184437447124058, -0.004971996984548039, 0.14517674698597854, 0.02362988723648919, 0.01517637674179342, 0.045636982139613896, 0.2737004291266203, 0.23462353398402533, -0.05484802027543386, -0.019330897678931553, -0.3780779474311405, -0.15144719887110922, 0.008667048170334764, 0.18390845424599117, -0.14711228038908708, -0.07055804919865397, 0.31060069675246876, 0.20557515778475338, -0.02381517945064439, 0.17981851465689638, 0.17904966531528366, 0.25100066761175793, -0.09974072459671232, -0.018594803805980418, 0.22778858285811213, 0.2839314883781804, 0.17742244754400519, -0.050388559285137385, -0.18293612408969137, 0.32905328718738425] |
709.1298 | Exponential Maps and Symmetric Transformations in Cluster-Spin System
for Lattice-Ising Models | We defined exponential maps with one parameter, associated with geodesics on
the parameter surface. By group theory we proposed a formula of the critical
points, which is a direct sum of the Lie subalgebras at the critical
temperature. We consider the self similar transformations as symmetric
operations. In the opinion of symmetry we analyzed the hexagon lattice system,
and got its three cluster spin states: single, double, and threefold, then its
critical point is calculated. There are two cases for lattice-Ising model in
thermodynamic equilibrium. In one case the periodic boundary conditions are
present without the infinite self similar transformations; in another the
system is in the possibility of the infinite self similar transformations
without the conditions. We think the real exact critical points close to our
results.
| physics.gen-ph | we defined exponential maps with one parameter associated with geodesics on the parameter surface by group theory we proposed a formula of the critical points which is a direct sum of the lie subalgebras at the critical temperature we consider the self similar transformations as symmetric operations in the opinion of symmetry we analyzed the hexagon lattice system and got its three cluster spin states single double and threefold then its critical point is calculated there are two cases for latticeising model in thermodynamic equilibrium in one case the periodic boundary conditions are present without the infinite self similar transformations in another the system is in the possibility of the infinite self similar transformations without the conditions we think the real exact critical points close to our results | [['we', 'defined', 'exponential', 'maps', 'with', 'one', 'parameter', 'associated', 'with', 'geodesics', 'on', 'the', 'parameter', 'surface', 'by', 'group', 'theory', 'we', 'proposed', 'a', 'formula', 'of', 'the', 'critical', 'points', 'which', 'is', 'a', 'direct', 'sum', 'of', 'the', 'lie', 'subalgebras', 'at', 'the', 'critical', 'temperature', 'we', 'consider', 'the', 'self', 'similar', 'transformations', 'as', 'symmetric', 'operations', 'in', 'the', 'opinion', 'of', 'symmetry', 'we', 'analyzed', 'the', 'hexagon', 'lattice', 'system', 'and', 'got', 'its', 'three', 'cluster', 'spin', 'states', 'single', 'double', 'and', 'threefold', 'then', 'its', 'critical', 'point', 'is', 'calculated', 'there', 'are', 'two', 'cases', 'for', 'latticeising', 'model', 'in', 'thermodynamic', 'equilibrium', 'in', 'one', 'case', 'the', 'periodic', 'boundary', 'conditions', 'are', 'present', 'without', 'the', 'infinite', 'self', 'similar', 'transformations', 'in', 'another', 'the', 'system', 'is', 'in', 'the', 'possibility', 'of', 'the', 'infinite', 'self', 'similar', 'transformations', 'without', 'the', 'conditions', 'we', 'think', 'the', 'real', 'exact', 'critical', 'points', 'close', 'to', 'our', 'results']] | [-0.18328165651473682, 0.11790245670636068, -0.07527492568260641, 0.05357853623263509, -0.02897379312707926, -0.13311697427707259, 0.0849383129270791, 0.36467073402309325, -0.2538125047685753, -0.22225977571361, 0.10747894853830076, -0.2981813808946754, -0.151327981857321, 0.16650680913699034, -0.017562041815835983, 0.061408135078636406, 0.016118393408760312, 0.11162017239257693, -0.11676945015369711, -0.2517192297555084, 0.3712511455923959, -0.011100206251285272, 0.2768491052520403, 0.032516335802938556, 0.09310895184535184, 0.0027183462552784476, 0.030472349182673497, 0.00815192228684225, -0.14761529419774888, 0.05798665086103938, 0.20896437095143483, 0.0482859259172983, 0.20539864561578725, -0.39794081080617616, -0.1683778827136848, 0.12300199996388983, 0.11074011796881678, 0.10464349568337639, -0.031686801351497706, -0.26265272387354344, 0.08467181517880817, -0.14105776375799906, -0.1987590555108909, -0.04400464722129982, 0.0028881922480650246, 0.004349964299763087, -0.22343811616883613, 0.057009740579815116, 0.0612580689630704, 0.0806313475513889, -0.10710090971406316, -0.08333606875567057, -0.06309744523059635, 0.133988883208076, 0.02730365175375482, 0.010856248631171184, 0.11563968967766414, -0.10564429967053002, -0.11350931800188846, 0.39905956888833316, -0.04369465195850353, -0.2216249810944646, 0.1833532970158558, -0.173379107927758, -0.151056729220727, 0.10844001748409937, 0.08213101672299672, 0.1131566653966729, -0.12794188492989633, 0.1155492813222736, -0.0593928388761924, 0.09329507495772305, 0.04405270482675405, -0.03458637889343663, 0.2053524579605437, 0.10250423151592258, 0.08658805232971645, 0.1827538154375361, -0.02618701684741609, -0.14110717779112747, -0.33047524221183266, -0.1449053445694517, -0.1437796577483823, 0.03250601363106398, -0.1334282101329336, -0.17483479448128492, 0.3916770349460421, 0.11135502507750061, 0.2205847142940911, 0.016513783336449706, 0.2391849928208103, 0.1561717331314867, 0.07383784373450908, 0.04495885197246707, 0.20660705452246475, 0.10891917373373872, 0.04686453398971935, -0.2077308820116741, -0.009176026323984843, 0.11337596629709878] |
709.1299 | Monovacancy and Substitutional Defects in Hexagonal Silicon Nanotubes | We present a first-principle study of geometrical and electronic structure of
hexagonal single-walled silicon nanotubes with a monovacancy or a
substitutional defect. The C, Al or P atoms are chosen as substitutional
impurities. It is found that the defect such as a monovacancy or a
substitutional impurity results in deformation of the hexagonal single-walled
silicon nanotube. In both cases, a relatively localized unoccupied state near
the Fermi level occurs due to this local deformation. The difference in
geometrical and electronic properties of different substitutional impurities is
discussed.
| cond-mat.mtrl-sci | we present a firstprinciple study of geometrical and electronic structure of hexagonal singlewalled silicon nanotubes with a monovacancy or a substitutional defect the c al or p atoms are chosen as substitutional impurities it is found that the defect such as a monovacancy or a substitutional impurity results in deformation of the hexagonal singlewalled silicon nanotube in both cases a relatively localized unoccupied state near the fermi level occurs due to this local deformation the difference in geometrical and electronic properties of different substitutional impurities is discussed | [['we', 'present', 'a', 'firstprinciple', 'study', 'of', 'geometrical', 'and', 'electronic', 'structure', 'of', 'hexagonal', 'singlewalled', 'silicon', 'nanotubes', 'with', 'a', 'monovacancy', 'or', 'a', 'substitutional', 'defect', 'the', 'c', 'al', 'or', 'p', 'atoms', 'are', 'chosen', 'as', 'substitutional', 'impurities', 'it', 'is', 'found', 'that', 'the', 'defect', 'such', 'as', 'a', 'monovacancy', 'or', 'a', 'substitutional', 'impurity', 'results', 'in', 'deformation', 'of', 'the', 'hexagonal', 'singlewalled', 'silicon', 'nanotube', 'in', 'both', 'cases', 'a', 'relatively', 'localized', 'unoccupied', 'state', 'near', 'the', 'fermi', 'level', 'occurs', 'due', 'to', 'this', 'local', 'deformation', 'the', 'difference', 'in', 'geometrical', 'and', 'electronic', 'properties', 'of', 'different', 'substitutional', 'impurities', 'is', 'discussed']] | [-0.11978012838283147, 0.16629499716727042, 0.03716384008227066, 0.011647126751138303, 0.06646164380356498, -0.18237262849706684, 0.11794344992805059, 0.4837041924996623, -0.25318424268251005, -0.2551613365481982, -0.03528809577799349, -0.36904933739282275, -0.14399364652465388, 0.05149036248471459, 0.016192263404399842, -0.025140205194809657, 0.061271535832135154, -0.05006748124764397, -0.10863025289232275, -0.2256296491491255, 0.26290025874629785, 0.07724387129105029, 0.3126418410597005, 0.11801627404645257, -0.02164152400011475, 0.005133210092611696, 0.16005520967381268, 0.08374086529668069, -0.15130470879685373, 0.13978083810137434, 0.25789261733492214, -0.13940506912339692, 0.20561177080936044, -0.5035134536139239, -0.1876190918331816, -0.03335132278587626, 0.12743238069588084, 0.21456241173048815, -0.10247722799868333, -0.2685279996273504, 0.0697244328243294, -0.12261618248818593, -0.12911620920245676, -0.049340847098193634, 0.029731846005045647, 0.015621029110839483, -0.1811368786977422, 0.07260558579716532, 0.06275586864707627, 0.07356210878579182, -0.1262822148588154, -0.1581817830902064, -0.15843157860418333, 0.004526412325921929, 0.0003837355541001106, -0.0047435646180208, 0.2877627564326528, -0.05762664714410644, -0.09244037381020086, 0.4746366709727666, -0.007076847110072087, -0.11990398938510695, 0.18931887534329261, -0.15311320219188929, -0.08790522219142181, 0.11822711390539489, 0.07973605561359175, 0.13247399456563524, -0.12209715272551509, 0.12094550343610388, -0.02252535337860557, 0.14933356867525086, 0.09672915243447341, 0.09480276812488835, 0.22127180482292996, 0.21003614857942723, 0.07111904947167455, 0.12916390804691646, -0.15301287325966204, 0.0020032829528770827, -0.21238976216007924, -0.23568722095083575, -0.26006223416576785, 0.10987900409462123, -0.08252188775804825, -0.290736412340454, 0.40060037191443404, 0.01262063583380532, 0.1914831306945918, -0.14516208688032695, 0.1370874241465467, 0.055320311521030105, 0.05695757730837226, -0.03129247232907634, 0.2170541919500235, 0.1816298850951181, 0.06583962621616907, -0.2910797896703983, 0.04435756068740939, 0.010426290699912385] |
709.13 | Staggered t-structures on derived categories of equivariant coherent
sheaves | Let X be a scheme, and let G be an affine group scheme acting on X. Under
reasonable hypotheses on X and G, we construct a t-structure on the derived
category of G-equivariant coherent sheaves that in many ways resembles the
perverse coherent t-structure, but which incorporates additional information
from the G-action. Under certain circumstances, this t-structure, called the
"staggered t-structure," has an artinian heart, and its simple objects are
particularly easy to describe. We also exhibit two small examples in which the
staggered t-structure is better-behaved than the perverse coherent t-structure.
| math.RT math.AG | let x be a scheme and let g be an affine group scheme acting on x under reasonable hypotheses on x and g we construct a tstructure on the derived category of gequivariant coherent sheaves that in many ways resembles the perverse coherent tstructure but which incorporates additional information from the gaction under certain circumstances this tstructure called the staggered tstructure has an artinian heart and its simple objects are particularly easy to describe we also exhibit two small examples in which the staggered tstructure is betterbehaved than the perverse coherent tstructure | [['let', 'x', 'be', 'a', 'scheme', 'and', 'let', 'g', 'be', 'an', 'affine', 'group', 'scheme', 'acting', 'on', 'x', 'under', 'reasonable', 'hypotheses', 'on', 'x', 'and', 'g', 'we', 'construct', 'a', 'tstructure', 'on', 'the', 'derived', 'category', 'of', 'gequivariant', 'coherent', 'sheaves', 'that', 'in', 'many', 'ways', 'resembles', 'the', 'perverse', 'coherent', 'tstructure', 'but', 'which', 'incorporates', 'additional', 'information', 'from', 'the', 'gaction', 'under', 'certain', 'circumstances', 'this', 'tstructure', 'called', 'the', 'staggered', 'tstructure', 'has', 'an', 'artinian', 'heart', 'and', 'its', 'simple', 'objects', 'are', 'particularly', 'easy', 'to', 'describe', 'we', 'also', 'exhibit', 'two', 'small', 'examples', 'in', 'which', 'the', 'staggered', 'tstructure', 'is', 'betterbehaved', 'than', 'the', 'perverse', 'coherent', 'tstructure']] | [-0.21458068432073799, 0.0945797291329338, -0.1620235134108478, 0.08433801751664799, -0.12458519586463175, -0.19188815066287213, -0.0016351381630596259, 0.43894673527582834, -0.39607344880183204, -0.13076142327981474, 0.06818709158814391, -0.16393660100521115, -0.12740236549617964, 0.2534138924118293, -0.24921656041102402, -0.13590949322362733, 0.07002877103640577, 0.1383826714439277, -0.01673831694263398, -0.2581223852365561, 0.43510210775243846, -0.05575891320958086, 0.3145640918949578, 0.03709457511887076, 0.18127433997047457, -0.034202346983163254, 0.08394701543527291, -0.05707322903807559, -0.12516425940394466, 0.11902057820090862, 0.27598951774163416, 0.041840263622124556, 0.16287325475612938, -0.39018725551178923, -0.1081889103591928, 0.20915482263080776, 0.05693393449505295, 0.04064309299144003, 0.0023479378116620787, -0.35603407389767794, 0.14032841845334548, -0.2038626653223258, -0.0706258836283308, -0.10458978441665354, 0.04965715352243379, -0.012302785286801341, -0.302280286407989, -0.03945859862806569, 0.05605042304681695, 0.13637870723260162, -0.06974752316043874, -0.09280896037513309, -0.12085977317411048, 0.027821700463233436, -0.043091526745980525, 0.10483160006950366, 0.1553684126626214, -0.11634384123760316, -0.1246550445465128, 0.4114897276436829, -0.09299562079404891, -0.2165082121146438, 0.14521831733873114, -0.14467172833341782, -0.12267990284295671, 0.12910986807116348, 0.02907846415536883, 0.21937286989945595, -0.024538259011814775, 0.1833273030940251, -0.17409877130842727, 0.09648871028026484, 0.0534940939219466, 0.09703411726766954, 0.14966325949796516, 0.12516778516684376, 0.0903583597689209, 0.10205927775899434, -0.016700530361444893, 0.002952743017965037, -0.36153947827203764, -0.11120920489876247, -0.0803327961424973, 0.18010266314503615, -0.04607542516595973, -0.15888377406973514, 0.37014292074016575, 0.12664073675304002, 0.1529123839041542, 0.0740374520891751, 0.25379843150427484, 0.02354234000465468, 0.025070841469720977, 0.040825790842063725, 0.07154080307151636, 0.23988248366842288, -0.09358019539175312, -0.09722669648624066, 0.06441224979884598, 0.1900021665851059] |
709.1301 | Observations of Intrahour Variable Quasars: Scattering in our Galactic
Neighbourhood | Interstellar scintillation (ISS) has been established as the cause of the
random variations seen at centimetre wavelengths in many compact radio sources
on timescales of a day or less. Observations of ISS can be used to probe
structure both in the ionized insterstellar medium of the Galaxy, and in the
extragalactic sources themselves, down to microarcsecond scales. A few quasars
have been found to show large amplitude scintillations on unusually rapid,
intrahour timescales. This has been shown to be due to weak scattering in very
local Galactic ``screens'', within a few tens of parsec of the Sun. The short
variability timescales allow detailed study of the scintillation properties in
relatively short observing periods with compact interferometric arrays. The
three best-studied ``intrahour variable'' quasars, PKS 0405-385, J1819+3845 and
PKS 1257-326, have been instrumental in establishing ISS as the principal cause
of intraday variability at centimetre wavelengths. Here we review the relevant
results from observations of these three sources.
| astro-ph | interstellar scintillation iss has been established as the cause of the random variations seen at centimetre wavelengths in many compact radio sources on timescales of a day or less observations of iss can be used to probe structure both in the ionized insterstellar medium of the galaxy and in the extragalactic sources themselves down to microarcsecond scales a few quasars have been found to show large amplitude scintillations on unusually rapid intrahour timescales this has been shown to be due to weak scattering in very local galactic screens within a few tens of parsec of the sun the short variability timescales allow detailed study of the scintillation properties in relatively short observing periods with compact interferometric arrays the three beststudied intrahour variable quasars pks 0405385 j18193845 and pks 1257326 have been instrumental in establishing iss as the principal cause of intraday variability at centimetre wavelengths here we review the relevant results from observations of these three sources | [['interstellar', 'scintillation', 'iss', 'has', 'been', 'established', 'as', 'the', 'cause', 'of', 'the', 'random', 'variations', 'seen', 'at', 'centimetre', 'wavelengths', 'in', 'many', 'compact', 'radio', 'sources', 'on', 'timescales', 'of', 'a', 'day', 'or', 'less', 'observations', 'of', 'iss', 'can', 'be', 'used', 'to', 'probe', 'structure', 'both', 'in', 'the', 'ionized', 'insterstellar', 'medium', 'of', 'the', 'galaxy', 'and', 'in', 'the', 'extragalactic', 'sources', 'themselves', 'down', 'to', 'microarcsecond', 'scales', 'a', 'few', 'quasars', 'have', 'been', 'found', 'to', 'show', 'large', 'amplitude', 'scintillations', 'on', 'unusually', 'rapid', 'intrahour', 'timescales', 'this', 'has', 'been', 'shown', 'to', 'be', 'due', 'to', 'weak', 'scattering', 'in', 'very', 'local', 'galactic', 'screens', 'within', 'a', 'few', 'tens', 'of', 'parsec', 'of', 'the', 'sun', 'the', 'short', 'variability', 'timescales', 'allow', 'detailed', 'study', 'of', 'the', 'scintillation', 'properties', 'in', 'relatively', 'short', 'observing', 'periods', 'with', 'compact', 'interferometric', 'arrays', 'the', 'three', 'beststudied', 'intrahour', 'variable', 'quasars', 'pks', '0405385', 'j18193845', 'and', 'pks', '1257326', 'have', 'been', 'instrumental', 'in', 'establishing', 'iss', 'as', 'the', 'principal', 'cause', 'of', 'intraday', 'variability', 'at', 'centimetre', 'wavelengths', 'here', 'we', 'review', 'the', 'relevant', 'results', 'from', 'observations', 'of', 'these', 'three', 'sources']] | [-0.1073467096795913, 0.16728273037080774, -0.08762203438107882, 0.1136967293128598, -0.08620825916146621, -0.09077906806189089, -0.015830803178967193, 0.47662667927738184, -0.19525475549893692, -0.32379187910387724, 0.1590063429261462, -0.2564819072000458, -0.025056485715023696, 0.24791133821529981, -0.03237930675580477, 0.00414490469735868, 0.01728864695626096, -0.10534676824523231, 0.013319358169936981, -0.23475715050097698, 0.20378348504145366, 0.10746762447077064, 0.17068305843247053, 0.014282144569547083, 0.11864242074415625, -0.09550464697904551, -0.11783225376469393, -0.01769630582883763, -0.043331473355348676, 0.053404922680690504, 0.28002147584293896, 0.0699575189068221, 0.2480828260199931, -0.43265719641259726, -0.27270581943090433, 0.08931179792405321, 0.14589810906312403, 0.04323765059383825, -0.0007811274486952103, -0.2861566698277154, 0.05388617959434692, -0.14977956121415795, -0.18049591168379173, 0.05274064425462618, 0.08307040967524816, 0.07295185813340001, -0.14877528375356447, 0.07563857393912397, -0.01823910549044227, 0.10450172626625341, -0.09817855233902661, -0.06904400651080486, 0.013442399302640786, 0.09470153311924197, 0.11307368842431177, 0.038816726968667725, 0.13519931600118676, -0.09737068804679438, -0.0718396268743956, 0.39545689685007507, -0.08234213064469469, -0.005959782828517162, 0.24075366519630337, -0.24013129360257432, -0.2382783046669852, 0.21834020706741378, 0.21240054621982077, 0.12835200181833875, -0.16002833023286747, -0.01839401593613916, -0.01436119225437347, 0.2711619146627923, 0.07173010729139861, 0.17761325812161652, 0.29050912666253936, 0.16402303431506227, 0.03722629129240373, 0.09871876317088325, -0.268918085246323, 0.002538352828616133, -0.223125703848685, -0.01500438550600591, -0.12766860370249608, 0.13505587186395693, -0.0971087443443442, -0.10665618569701343, 0.40004196646324813, 0.1210372622575587, 0.1778879995839909, 0.0073993169308568425, 0.26916039142405424, 0.040751645811654344, 0.11420037282797961, 0.07034032811852506, 0.35821715114602387, 0.13988612581325027, 0.12633133115163311, -0.15920033604533484, 0.08582410451848634, -0.01803377566885991] |
709.1302 | Exactly soluble spin-1/2 models on three-dimensional lattices and
non-abelian statistics of closed string excitations | Exactly soluble spin-$\frac{1}2$ models on three-dimensional lattices are
proposed by generalizing Kitaev model on honeycomb lattice to three dimensions
with proper periodic boundary conditions. The simplest example is spins on a
diamond lattice which is exactly soluble. The ground state sector of the model
may be mapped into a p-wave paired state on cubic lattice. We observe for the
first time a topological phase transition from a gapless phase to a gapped
phase in an exactly soluble spin model. Furthermore, the gapless phase can not
be gapped by a perturbation breaking the time reversal symmetry. Unknotted and
unlinked Wilson loops arise as eigen excitations, which may evolute into linked
and knotted loop excitations. We show that these closed string excitations obey
abelian statistics in the gapped phase and non-abelian statistics in the
gapless phase.
| cond-mat.str-el cond-mat.mes-hall | exactly soluble spinfrac12 models on threedimensional lattices are proposed by generalizing kitaev model on honeycomb lattice to three dimensions with proper periodic boundary conditions the simplest example is spins on a diamond lattice which is exactly soluble the ground state sector of the model may be mapped into a pwave paired state on cubic lattice we observe for the first time a topological phase transition from a gapless phase to a gapped phase in an exactly soluble spin model furthermore the gapless phase can not be gapped by a perturbation breaking the time reversal symmetry unknotted and unlinked wilson loops arise as eigen excitations which may evolute into linked and knotted loop excitations we show that these closed string excitations obey abelian statistics in the gapped phase and nonabelian statistics in the gapless phase | [['exactly', 'soluble', 'spinfrac12', 'models', 'on', 'threedimensional', 'lattices', 'are', 'proposed', 'by', 'generalizing', 'kitaev', 'model', 'on', 'honeycomb', 'lattice', 'to', 'three', 'dimensions', 'with', 'proper', 'periodic', 'boundary', 'conditions', 'the', 'simplest', 'example', 'is', 'spins', 'on', 'a', 'diamond', 'lattice', 'which', 'is', 'exactly', 'soluble', 'the', 'ground', 'state', 'sector', 'of', 'the', 'model', 'may', 'be', 'mapped', 'into', 'a', 'pwave', 'paired', 'state', 'on', 'cubic', 'lattice', 'we', 'observe', 'for', 'the', 'first', 'time', 'a', 'topological', 'phase', 'transition', 'from', 'a', 'gapless', 'phase', 'to', 'a', 'gapped', 'phase', 'in', 'an', 'exactly', 'soluble', 'spin', 'model', 'furthermore', 'the', 'gapless', 'phase', 'can', 'not', 'be', 'gapped', 'by', 'a', 'perturbation', 'breaking', 'the', 'time', 'reversal', 'symmetry', 'unknotted', 'and', 'unlinked', 'wilson', 'loops', 'arise', 'as', 'eigen', 'excitations', 'which', 'may', 'evolute', 'into', 'linked', 'and', 'knotted', 'loop', 'excitations', 'we', 'show', 'that', 'these', 'closed', 'string', 'excitations', 'obey', 'abelian', 'statistics', 'in', 'the', 'gapped', 'phase', 'and', 'nonabelian', 'statistics', 'in', 'the', 'gapless', 'phase']] | [-0.19568351035548456, 0.3200737075549385, -0.059132361450969284, 0.05284055270456167, -0.06718166946579437, -0.2219929425045848, 0.05378913116613542, 0.3896188044976165, -0.2295597805085578, -0.1859704719633976, 0.08335017216298034, -0.3096395278238316, -0.12184108567855029, 0.09517029675814921, 0.04531407371900086, 0.03307101081139339, 0.004922031070481041, 0.04971474241604334, -0.09376288273149351, -0.23805922310132144, 0.2688208316945177, -0.10611359114105355, 0.3026578739605177, 0.05150020376556733, 0.03658359690305235, -0.01869523656150976, 0.15126398812506847, 0.019063363826500056, -0.14614488675334855, 0.013733406546838415, 0.2347202787167141, -0.09879888631681454, 0.057133222429721214, -0.46787565015256405, -0.2474926229246628, 0.08979218452300097, 0.18626904482397236, 0.1793180525966628, -0.007617011544669964, -0.33713733505652244, 0.002934771850566143, -0.17446612945319945, -0.15047283477233306, -0.12437858863963064, -0.033918973864681685, -0.10473368892362758, -0.19638355818243503, 0.09842561588469725, 0.08344496060996803, 0.06950596842303206, -0.07373199347448327, -0.06080230191756568, -0.1434626289219387, 0.08036369706656951, 6.113893008415601e-05, 0.03849530343744737, 0.052406164873982156, -0.13595768483790027, -0.1865882969899242, 0.41096046170108574, -0.04958862823837284, -0.20282179268716433, 0.14519296935064469, -0.1257747695225277, -0.15679824925653302, 0.18147965787436227, 0.09307642408895112, 0.06295991020881807, -0.10275928405071817, 0.11682731819333884, -0.08532526804075173, 0.17208251573923808, 0.020252407288679213, 0.0015070762944845622, 0.3120855245558517, 0.10526387628216519, 0.052977433952906015, 0.2186328624566294, -0.027206840811978415, -0.17660876847768842, -0.310448893040085, -0.155682818686117, -0.25825349315861934, 0.05907225384519856, -0.04900946831402331, -0.2174033208041271, 0.4593393671701648, 0.09190227901875805, 0.16454740389903535, -0.024711677768100886, 0.18936744088710133, 0.09010979077177567, 0.07764464616775513, 0.07043250961274382, 0.16034210128918178, 0.1345858851503303, -0.015548692911918929, -0.2778550580043151, -0.06992523783623282, 0.17338938184374414] |
709.1303 | Global coupling at 660 km is proposed to explain plate tectonics and the
generation of the earth's magnetic field | The presence of low viscosity layers in the mantle is supported by line of
geological and geophysical observations. Recent high pressure and temperature
investigations indicated that partial carbonate melt should exist at the bottom
of the lithosphere and at 660 km. The presence of few percent carbonate melt
reduces the viscosity by several order of magnitude. The globally existing 660
km very low viscosity layer allows the development of differential rotation
between the upper and lower mantle. This differential rotation between the 660
km outer shell and the rest of the earth offers a plausible explanation for
plate tectonics and for the generation of the earth's magnetic field. Simple
dynamo model is proposed, which able to reproduce all of the features of the
contemporary and, within reasonable uncertainty, the paleomagnetic field. The
model is also consistent with geological and geophysical observations.
| physics.gen-ph | the presence of low viscosity layers in the mantle is supported by line of geological and geophysical observations recent high pressure and temperature investigations indicated that partial carbonate melt should exist at the bottom of the lithosphere and at 660 km the presence of few percent carbonate melt reduces the viscosity by several order of magnitude the globally existing 660 km very low viscosity layer allows the development of differential rotation between the upper and lower mantle this differential rotation between the 660 km outer shell and the rest of the earth offers a plausible explanation for plate tectonics and for the generation of the earths magnetic field simple dynamo model is proposed which able to reproduce all of the features of the contemporary and within reasonable uncertainty the paleomagnetic field the model is also consistent with geological and geophysical observations | [['the', 'presence', 'of', 'low', 'viscosity', 'layers', 'in', 'the', 'mantle', 'is', 'supported', 'by', 'line', 'of', 'geological', 'and', 'geophysical', 'observations', 'recent', 'high', 'pressure', 'and', 'temperature', 'investigations', 'indicated', 'that', 'partial', 'carbonate', 'melt', 'should', 'exist', 'at', 'the', 'bottom', 'of', 'the', 'lithosphere', 'and', 'at', '660', 'km', 'the', 'presence', 'of', 'few', 'percent', 'carbonate', 'melt', 'reduces', 'the', 'viscosity', 'by', 'several', 'order', 'of', 'magnitude', 'the', 'globally', 'existing', '660', 'km', 'very', 'low', 'viscosity', 'layer', 'allows', 'the', 'development', 'of', 'differential', 'rotation', 'between', 'the', 'upper', 'and', 'lower', 'mantle', 'this', 'differential', 'rotation', 'between', 'the', '660', 'km', 'outer', 'shell', 'and', 'the', 'rest', 'of', 'the', 'earth', 'offers', 'a', 'plausible', 'explanation', 'for', 'plate', 'tectonics', 'and', 'for', 'the', 'generation', 'of', 'the', 'earths', 'magnetic', 'field', 'simple', 'dynamo', 'model', 'is', 'proposed', 'which', 'able', 'to', 'reproduce', 'all', 'of', 'the', 'features', 'of', 'the', 'contemporary', 'and', 'within', 'reasonable', 'uncertainty', 'the', 'paleomagnetic', 'field', 'the', 'model', 'is', 'also', 'consistent', 'with', 'geological', 'and', 'geophysical', 'observations']] | [-0.09432124895380532, 0.1700673546272178, -0.015404000194703645, 0.016065248184183492, -0.07101225080827238, -0.042251803048602335, 0.019420608204412968, 0.3144848200935104, -0.24972153711958345, -0.36061947239259035, 0.13846713932914698, -0.264960937401885, -0.04431518661305151, 0.20390625952921332, -0.0248485235976227, 0.037326067808275736, 0.03639526239427877, 0.0016490247972468113, -0.047912687758406534, -0.185615479866875, 0.2396581589297147, 0.0987458218232537, 0.25787786153931147, 0.09400843585847962, 0.12229748184508676, -0.12267669281717522, -0.004238758051226325, -0.010872187456182132, -0.16063227851451778, 0.11314090456281964, 0.23873525065310458, 0.06209070291634358, 0.21010283847068642, -0.4866549575186156, -0.26426654161079555, 0.010107405960942941, 0.06170754094941687, 0.056026895864906306, -0.017016036706771834, -0.24634734754523274, 0.060820387167763626, -0.15760789978060316, -0.1438702218967708, -0.018250996423621022, 0.05760608860357592, -0.015437729333045212, -0.25260034837621326, 0.14694625337534675, 0.06084147202022744, 0.1423395989470577, -0.13656625351150262, -0.163082229297159, -0.0874602674466974, 0.0887733024639137, 0.09721016680412259, 0.0234484142990839, 0.18582355913975282, -0.10394622523714095, 0.0223716740357749, 0.3941447548964556, -0.12909507478260376, -0.0794478485440003, 0.24301664599263711, -0.19547233915498072, -0.05555270092746784, 0.19955111411730395, 0.1489069408684282, 0.0788369203904472, -0.12851661136572032, 0.0013763466110974815, -0.06119096833974757, 0.17624771528949973, 0.09243955302831605, -0.025675083487459744, 0.27237215684396576, 0.21863191504797613, 0.051352838780863067, 0.049328690090923444, -0.19854975963698318, -0.08004431533858392, -0.27529760537312387, -0.1531187563355193, -0.0801832084502721, -0.02792719915403542, -0.14488661878908232, -0.14047636428033827, 0.3490305102317997, 0.1692713168614828, 0.16994027140160614, 0.011923772706452044, 0.2997095788043019, 0.04883700870770089, 0.08762809831041393, 0.09774766797331948, 0.3184752675328166, 0.200395055197787, 0.12831858830222637, -0.24735870923647155, 0.1405306349794136, -0.0072428933443858265] |
709.1304 | A design principle for improved 3D AC electro-osmotic pumps | Three-dimensional (3D) AC electro-osmotic (ACEO) pumps have recently been
developed that are much faster and more robust than previous planar designs.
The basic idea is to create a ``fluid conveyor belt'' by placing opposing ACEO
slip velocities at different heights. Current designs involve electrodes with
electroplated steps, whose heights have been optimized in simulations and
experiments. Here, we consider changing the boundary conditions--rather than
the geometry--and predict that flow rates can be further doubled by fabricating
3D features with non-polarizable materials. This amplifies the fluid conveyor
belt by removing opposing flows on the vertical surfaces, and it increases the
slip velocities which drive the flow.
| physics.flu-dyn | threedimensional 3d ac electroosmotic aceo pumps have recently been developed that are much faster and more robust than previous planar designs the basic idea is to create a fluid conveyor belt by placing opposing aceo slip velocities at different heights current designs involve electrodes with electroplated steps whose heights have been optimized in simulations and experiments here we consider changing the boundary conditionsrather than the geometryand predict that flow rates can be further doubled by fabricating 3d features with nonpolarizable materials this amplifies the fluid conveyor belt by removing opposing flows on the vertical surfaces and it increases the slip velocities which drive the flow | [['threedimensional', '3d', 'ac', 'electroosmotic', 'aceo', 'pumps', 'have', 'recently', 'been', 'developed', 'that', 'are', 'much', 'faster', 'and', 'more', 'robust', 'than', 'previous', 'planar', 'designs', 'the', 'basic', 'idea', 'is', 'to', 'create', 'a', 'fluid', 'conveyor', 'belt', 'by', 'placing', 'opposing', 'aceo', 'slip', 'velocities', 'at', 'different', 'heights', 'current', 'designs', 'involve', 'electrodes', 'with', 'electroplated', 'steps', 'whose', 'heights', 'have', 'been', 'optimized', 'in', 'simulations', 'and', 'experiments', 'here', 'we', 'consider', 'changing', 'the', 'boundary', 'conditionsrather', 'than', 'the', 'geometryand', 'predict', 'that', 'flow', 'rates', 'can', 'be', 'further', 'doubled', 'by', 'fabricating', '3d', 'features', 'with', 'nonpolarizable', 'materials', 'this', 'amplifies', 'the', 'fluid', 'conveyor', 'belt', 'by', 'removing', 'opposing', 'flows', 'on', 'the', 'vertical', 'surfaces', 'and', 'it', 'increases', 'the', 'slip', 'velocities', 'which', 'drive', 'the', 'flow']] | [-0.12295368539273413, 0.21599088147626194, -0.048015244336780706, -0.03413964485189001, -0.05456044592722816, -0.1905997416176336, -0.05776396646837984, 0.4185060001909733, -0.22442173322174444, -0.3295022730435272, 0.09115247954998744, -0.2451813639711263, -0.11663874256926435, 0.24007786366889633, -0.069295816548458, 0.08093951290780768, 0.05745884313844868, -0.1002234732686967, -0.01766321939660363, -0.19185233612779926, 0.25051547729780954, 0.05184003967538621, 0.3260724357763323, 0.005105826877129888, 0.07676883213429993, -0.09478039684416094, 0.02646475132482434, 0.09362528845667839, -0.20089493409656464, 0.09366176925708079, 0.19998775312713193, -0.04411448487216263, 0.23523520374471701, -0.5499555887202325, -0.2927382837673559, 0.014251443521273367, 0.1353080258975981, 0.1479820630349811, -0.05685738399378996, -0.25143871661863354, 0.09641331523991398, -0.13231353619072622, -0.10901299067908554, -0.0203012083018497, 0.019296131922990012, 0.06302676029792688, -0.21343981332679107, 0.04512066630764132, 0.06486074910137477, 0.11013694186197612, -0.05286873290224851, -0.11005761617347055, -0.09838584550538833, 0.09772925937516633, 0.03958791558680495, 0.04248273156095043, 0.2453646297720306, -0.10370175606227543, -0.09492009449117247, 0.35390630235117904, -0.017831086657220243, -0.21482333633144504, 0.22830442639375195, -0.12325002149977152, 0.00438203386430068, 0.18371793383944923, 0.1796176956731428, 0.1131649195528544, -0.12728953675126195, -0.052742265356428814, -0.053045458602266914, 0.11754014140709294, 0.15911451995924333, -0.08313595488197306, 0.26627669485231625, 0.16544910041090932, 0.08746696787985783, 0.1403674463938144, -0.1534860972902801, -0.09502840056581405, -0.1880901870091708, -0.14153372394644376, -0.13707670946017775, -0.0034646072302881663, -0.04479824495233383, -0.12899442945688383, 0.3623110313076996, 0.18113364066331855, 0.16335337405608405, 0.020113583130861444, 0.36570995507165066, 0.07270011180125684, 0.1729049857307985, 0.11605095775635207, 0.2910187924732861, 0.10975386589557583, 0.11779304131304899, -0.2084318373976185, 0.10368314722679484, 0.057861782571988055] |
709.1305 | Possible evidence that pulsars are quark stars | It is a pity that the real state of matter in pulsar-like stars is still not
determined confidently because of the uncertainty about cold matter at
supranuclear density, even 40 years after the discovery of pulsar. Nuclear
matter (related to neutron stars) is one of the speculations for the inner
constitution of pulsars even from the Landau's time more than 70 years ago, but
quark matter (related to quark stars) is an alternative due to the fact of
asymptotic freedom of interaction between quarks as the standard model of
particle physics develops since 1960s. Therefore, one has to focus on
astrophysical observations in order to answer what the nature of pulsars is. In
this presentation, I would like to summarize possible observational
evidence/hints that pulsar-like stars could be quark stars, and to address
achievable clear evidence for quark stars in the future experiments.
| astro-ph hep-ph | it is a pity that the real state of matter in pulsarlike stars is still not determined confidently because of the uncertainty about cold matter at supranuclear density even 40 years after the discovery of pulsar nuclear matter related to neutron stars is one of the speculations for the inner constitution of pulsars even from the landaus time more than 70 years ago but quark matter related to quark stars is an alternative due to the fact of asymptotic freedom of interaction between quarks as the standard model of particle physics develops since 1960s therefore one has to focus on astrophysical observations in order to answer what the nature of pulsars is in this presentation i would like to summarize possible observational evidencehints that pulsarlike stars could be quark stars and to address achievable clear evidence for quark stars in the future experiments | [['it', 'is', 'a', 'pity', 'that', 'the', 'real', 'state', 'of', 'matter', 'in', 'pulsarlike', 'stars', 'is', 'still', 'not', 'determined', 'confidently', 'because', 'of', 'the', 'uncertainty', 'about', 'cold', 'matter', 'at', 'supranuclear', 'density', 'even', '40', 'years', 'after', 'the', 'discovery', 'of', 'pulsar', 'nuclear', 'matter', 'related', 'to', 'neutron', 'stars', 'is', 'one', 'of', 'the', 'speculations', 'for', 'the', 'inner', 'constitution', 'of', 'pulsars', 'even', 'from', 'the', 'landaus', 'time', 'more', 'than', '70', 'years', 'ago', 'but', 'quark', 'matter', 'related', 'to', 'quark', 'stars', 'is', 'an', 'alternative', 'due', 'to', 'the', 'fact', 'of', 'asymptotic', 'freedom', 'of', 'interaction', 'between', 'quarks', 'as', 'the', 'standard', 'model', 'of', 'particle', 'physics', 'develops', 'since', '1960s', 'therefore', 'one', 'has', 'to', 'focus', 'on', 'astrophysical', 'observations', 'in', 'order', 'to', 'answer', 'what', 'the', 'nature', 'of', 'pulsars', 'is', 'in', 'this', 'presentation', 'i', 'would', 'like', 'to', 'summarize', 'possible', 'observational', 'evidencehints', 'that', 'pulsarlike', 'stars', 'could', 'be', 'quark', 'stars', 'and', 'to', 'address', 'achievable', 'clear', 'evidence', 'for', 'quark', 'stars', 'in', 'the', 'future', 'experiments']] | [-0.04669149879867893, 0.2243127176862146, -0.1237709670930996, 0.15085565364709727, -0.1725532650475351, -0.07942821221298237, 0.07388567347505826, 0.31806290328410836, -0.1816343720098482, -0.34917049453278975, 0.059394658530872106, -0.298191594943719, -0.007971797912368472, 0.19629559737653143, -0.050811964431515255, -0.008640301669619873, 0.07487487404289143, 0.05589374220720164, -0.06936566952188027, -0.29142493511946516, 0.3132727010008341, 0.05865514397450631, 0.15336094592397861, 0.05533487657839301, 0.05513230052081422, -0.09092666753436583, -0.05520410317940716, -0.06473210750354297, -0.08897199284014354, 0.03792018920033973, 0.27178031679539627, 0.15699971420362488, 0.20316569589924488, -0.41678530089294824, -0.21698259660633099, 0.10218257467511674, 0.14958458206061728, 0.08388810267862143, -0.06159508472251539, -0.2712003015126036, 0.09161691087122652, -0.21529191675346712, -0.1867643317345425, -0.04093122444751764, 0.08063582391937224, -0.043556522752624005, -0.19291023981288521, 0.09849486193081862, 0.05699600773030551, 0.014040995758144893, -0.05129180267669628, -0.15663348043232528, 0.03275590436861024, 0.030016582747790177, 0.12822176859096326, 0.07798703051742796, 0.11691483488621217, -0.2191145276818031, -0.08315455906985092, 0.44856324067181896, -0.03943101251352858, -0.0636394882718557, 0.20816687196427563, -0.2242049828276668, -0.15510086954282729, 0.08757624701550887, 0.14092564769499136, 0.10465244027871219, -0.18911623880332729, 0.041225297410536266, -0.04535581827127624, 0.19430805904246395, 0.08461131740354894, 0.048585275889859655, 0.3553496003872387, 0.1974935533456721, 0.029505461716735865, 0.035420034966975926, -0.12548563125359655, -0.11358933138019982, -0.2598303823836777, -0.13623217534778875, -0.1585925554997668, 0.07098540090998835, -0.056607971443285554, -0.10237209355740637, 0.381088866799755, 0.1563267830593682, 0.13856261610512582, -0.050080767708082854, 0.281082703590944, 0.060393224128449836, 0.07201972851713359, 0.10504734550740465, 0.34022433790181517, 0.201798541254928, 0.11214081347185437, -0.20212121157821689, 0.09764981068815039, -0.028665482550269177] |
709.1306 | Necessary and sufficient condition for Greenberger-Horne-Zeilinger
diagonal states to be full $N$-partite entangled | Recently, [{arXiv:0810.3134}] is accepted and published. We show that any
$N$-qubit state which is diagonal in the Greenberger-Horne-Zeilinger basis is
full $N$-qubit entangled state if and only if no partial transpose of the
multiqubit state is positive with respect to any partition.
| quant-ph | recently arxiv08103134 is accepted and published we show that any nqubit state which is diagonal in the greenbergerhornezeilinger basis is full nqubit entangled state if and only if no partial transpose of the multiqubit state is positive with respect to any partition | [['recently', 'arxiv08103134', 'is', 'accepted', 'and', 'published', 'we', 'show', 'that', 'any', 'nqubit', 'state', 'which', 'is', 'diagonal', 'in', 'the', 'greenbergerhornezeilinger', 'basis', 'is', 'full', 'nqubit', 'entangled', 'state', 'if', 'and', 'only', 'if', 'no', 'partial', 'transpose', 'of', 'the', 'multiqubit', 'state', 'is', 'positive', 'with', 'respect', 'to', 'any', 'partition']] | [-0.13474474658834792, 0.19279158122593626, -0.051873305368991124, -0.0013527144966203543, -0.04265059779087702, -0.23474311977181406, 0.02808273627999283, 0.37017806131570113, -0.18366585197370677, -0.19164076243067116, 0.09593475494433992, -0.28882971964776516, -0.06747259625366755, 0.1042010842689446, -0.019401045493958963, 0.12074973181422267, 0.11762621211597607, 0.11209390571873103, -0.11123426781324226, -0.29618528786869275, 0.37242302257523296, -0.048649691128438075, 0.2697620016655752, 0.019217188913552535, 0.14087780343279951, -0.013741805462077969, 0.06915428307616994, -0.010883795540957223, -0.007701394021534638, 0.003990354082946267, 0.287716765932384, 0.24386210624305976, 0.2323476295208647, -0.35402504691765424, -0.12214718080524888, 0.19986417650112084, 0.04035086477441447, 0.21249608581031984, -0.009276217758832942, -0.349437122488217, 0.10551483986256201, -0.23415407782331818, -0.09851206750906949, -0.11362314371702571, 0.11572768446612394, -0.0852233994574774, -0.30892645144125536, 0.0907329984142312, 0.06999377435671963, -0.022794864714212184, -0.028674127777949684, -0.11970232040177853, -0.09776609935354263, 0.07607017963060311, -0.15128989944544932, 0.08175050111077282, 0.027615429855705725, -0.06862953992649204, -0.18972707275367742, 0.33534218175780206, -0.015293229515442536, -0.2768013837436835, 0.13938783909682007, -0.17318823273914555, -0.12612785983808517, 0.049851356562049615, -0.0031940647888751257, 0.04800774134318566, -0.08681698467227675, 0.11166975061531134, -0.1543725676878932, 0.3233411157769816, 0.03972767433151603, 0.09474582980952359, 0.06615982880993258, -0.008912362823528903, 0.17613934800915776, 0.20515281254691736, 0.03405688193050169, -0.12026655751590927, -0.3097475931669275, -0.27303986887757975, -0.26884610906598116, 0.14644995016888493, -0.009112728490782459, -0.14175946088064284, 0.4030368077967848, 0.07589018149744897, 0.09765900964183467, 0.0027545916299069567, 0.24562141552035296, 0.13606353386837458, 0.02889892201693285, 0.1547219023729364, 0.21641456264825093, 0.1919351256275106, -0.034152631337443985, -0.2199015570250118, 0.14849654650537386, 0.03710650481904546] |
709.1307 | MOST: detecting cancer differential gene expression | We propose a new statistics for the detection of differentially expressed
genes, when the genes are activated only in a subset of the samples. Statistics
designed for this unconventional circumstance has proved to be valuable for
most cancer studies, where oncogenes are activated for a small number of
disease samples. Previous efforts made in this direction include COPA, OS and
ORT. We propose a new statistics called maximum ordered subset t-statistics
(MOST) which seems to be natural when the number of activated samples is
unknown. We compare MOST to other statistics and find the proposed method often
has more power then its competitors.
| stat.AP | we propose a new statistics for the detection of differentially expressed genes when the genes are activated only in a subset of the samples statistics designed for this unconventional circumstance has proved to be valuable for most cancer studies where oncogenes are activated for a small number of disease samples previous efforts made in this direction include copa os and ort we propose a new statistics called maximum ordered subset tstatistics most which seems to be natural when the number of activated samples is unknown we compare most to other statistics and find the proposed method often has more power then its competitors | [['we', 'propose', 'a', 'new', 'statistics', 'for', 'the', 'detection', 'of', 'differentially', 'expressed', 'genes', 'when', 'the', 'genes', 'are', 'activated', 'only', 'in', 'a', 'subset', 'of', 'the', 'samples', 'statistics', 'designed', 'for', 'this', 'unconventional', 'circumstance', 'has', 'proved', 'to', 'be', 'valuable', 'for', 'most', 'cancer', 'studies', 'where', 'oncogenes', 'are', 'activated', 'for', 'a', 'small', 'number', 'of', 'disease', 'samples', 'previous', 'efforts', 'made', 'in', 'this', 'direction', 'include', 'copa', 'os', 'and', 'ort', 'we', 'propose', 'a', 'new', 'statistics', 'called', 'maximum', 'ordered', 'subset', 'tstatistics', 'most', 'which', 'seems', 'to', 'be', 'natural', 'when', 'the', 'number', 'of', 'activated', 'samples', 'is', 'unknown', 'we', 'compare', 'most', 'to', 'other', 'statistics', 'and', 'find', 'the', 'proposed', 'method', 'often', 'has', 'more', 'power', 'then', 'its', 'competitors']] | [-0.09284392566741127, 0.1160955179338027, -0.057868011648432145, 0.0687631768732811, -0.11395543249034622, -0.15568315051948128, 0.07798268432159303, 0.3509972042548787, -0.2389010785778225, -0.2835149413553401, 0.08650514936228328, -0.2990013825010906, -0.14784522733009123, 0.22637023249622976, -0.09964158563666696, 0.025189801752770736, 0.053714367895595076, 0.08572899932674702, 0.04632223103855492, -0.28951508795969116, 0.2393984907822123, 0.0394819038513216, 0.3044890603434873, -0.014834591892810122, 0.06850700131029759, -0.03359603318973508, -0.02749577576963647, 0.0516703543253243, -0.09861606613561077, 0.11606978435629925, 0.34718944928021106, 0.18053624684045327, 0.33042384841416067, -0.4063554229847725, -0.21366204131503128, 0.1471428458524633, 0.1565277726690113, 0.12735621473702233, -0.060290308428043275, -0.2444897112843481, 0.15695966828108124, -0.13579308494780828, -0.05462039371464148, -0.10009267172116099, 0.03537147045384152, 0.020165419443374844, -0.3000246507649138, 0.0729997735289694, 0.0004358889480817665, 0.053445360892298586, -0.0011262153128379034, -0.15838124968328524, 0.013904794110256491, 0.1177645224192885, 0.06969880524037171, 0.023166057866211367, 0.1264148500083394, -0.1383849195005752, -0.09564845348500366, 0.32179629801347565, 0.010038492935528815, -0.19922844409599033, 0.20083943776587404, -0.1283386249221789, -0.18972362141640295, 0.12530206165556768, 0.1666913450541861, 0.15479255278224072, -0.20685096852423723, -0.0011922146467202642, -0.0457879245683587, 0.16661002875748768, 0.03520750408106058, 0.014431792257118572, 0.1631414555284439, 0.1884843209143547, 0.06266237333364948, 0.14769746128354422, -0.1319999411448981, -0.024113238219497273, -0.22981376029117015, -0.15713183909600364, -0.18946901697086768, 0.014491967167434039, -0.036027281571945936, -0.1784956623772973, 0.39298082803131884, 0.17118763319641642, 0.2040187604205448, 0.038245469423291246, 0.24302490102579294, 0.05551615740778377, 0.08510565974306568, 0.06690447841255555, 0.16830582244014278, 0.08030531626534919, 0.03424240245474774, -0.16859125544416528, 0.16161398523604698, 0.004741704172807411] |
709.1308 | Cirquent calculus deepened | Cirquent calculus is a new proof-theoretic and semantic framework, whose main
distinguishing feature is being based on circuits, as opposed to the more
traditional approaches that deal with tree-like objects such as formulas or
sequents. Among its advantages are greater efficiency, flexibility and
expressiveness. This paper presents a detailed elaboration of a deep-inference
cirquent logic, which is naturally and inherently resource conscious. It shows
that classical logic, both syntactically and semantically, is just a special,
conservative fragment of this more general and, in a sense, more basic logic --
the logic of resources in the form of cirquent calculus. The reader will find
various arguments in favor of switching to the new framework, such as arguments
showing the insufficiency of the expressive power of linear logic or other
formula-based approaches to developing resource logics, exponential
improvements over the traditional approaches in both representational and proof
complexities offered by cirquent calculus, and more. Among the main purposes of
this paper is to provide an introductory-style starting point for what, as the
author wishes to hope, might have a chance to become a new line of research in
proof theory -- a proof theory based on circuits instead of formulas.
| cs.LO math.LO | cirquent calculus is a new prooftheoretic and semantic framework whose main distinguishing feature is being based on circuits as opposed to the more traditional approaches that deal with treelike objects such as formulas or sequents among its advantages are greater efficiency flexibility and expressiveness this paper presents a detailed elaboration of a deepinference cirquent logic which is naturally and inherently resource conscious it shows that classical logic both syntactically and semantically is just a special conservative fragment of this more general and in a sense more basic logic the logic of resources in the form of cirquent calculus the reader will find various arguments in favor of switching to the new framework such as arguments showing the insufficiency of the expressive power of linear logic or other formulabased approaches to developing resource logics exponential improvements over the traditional approaches in both representational and proof complexities offered by cirquent calculus and more among the main purposes of this paper is to provide an introductorystyle starting point for what as the author wishes to hope might have a chance to become a new line of research in proof theory a proof theory based on circuits instead of formulas | [['cirquent', 'calculus', 'is', 'a', 'new', 'prooftheoretic', 'and', 'semantic', 'framework', 'whose', 'main', 'distinguishing', 'feature', 'is', 'being', 'based', 'on', 'circuits', 'as', 'opposed', 'to', 'the', 'more', 'traditional', 'approaches', 'that', 'deal', 'with', 'treelike', 'objects', 'such', 'as', 'formulas', 'or', 'sequents', 'among', 'its', 'advantages', 'are', 'greater', 'efficiency', 'flexibility', 'and', 'expressiveness', 'this', 'paper', 'presents', 'a', 'detailed', 'elaboration', 'of', 'a', 'deepinference', 'cirquent', 'logic', 'which', 'is', 'naturally', 'and', 'inherently', 'resource', 'conscious', 'it', 'shows', 'that', 'classical', 'logic', 'both', 'syntactically', 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'chance', 'to', 'become', 'a', 'new', 'line', 'of', 'research', 'in', 'proof', 'theory', 'a', 'proof', 'theory', 'based', 'on', 'circuits', 'instead', 'of', 'formulas']] | [-0.07181848537158937, 0.0096965014917376, -0.12679999355847638, 0.11202242746352194, -0.18344323543640664, -0.18241543686494996, 0.0684956199519384, 0.3434833188051692, -0.2767341541412931, -0.2974009671033575, 0.06900570678214232, -0.24313909780257978, -0.15391427217146908, 0.21304880238066498, -0.1700609656855261, 0.027621059981473267, 0.010333053699025933, 0.05364851556040753, -0.04443754565257293, -0.21213502041601504, 0.3061000501534018, 0.04264962034156689, 0.2601934591845538, 0.04727172581240153, 0.06766564654043088, -0.009875900849986534, -0.03474009653392176, 0.032971879350952804, -0.06238262204681702, 0.2103510313333036, 0.33559403722055065, 0.2348105578874357, 0.3499700700243314, -0.44841119199513624, -0.17831427212028453, 0.05860727400375673, 0.10768074466942404, 0.10576158830737814, 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709.1309 | Bayes and empirical Bayes changepoint problems | We generalize the approach of Liu and Lawrence (1999) for multiple
changepoint problems where the number of changepoints is unknown. The approach
is based on dynamic programming recursion for efficient calculation of the
marginal probability of the data with the hidden parameters integrated out. For
the estimation of the hyperparameters, we propose to use Monte Carlo EM when
training data are available. We argue that there is some advantages of using
samples from the posterior which takes into account the uncertainty of the
changepoints, compared to the traditional MAP estimator, which is also more
expensive to compute in this context. The samples from the posterior obtained
by our algorithm are independent, getting rid of the convergence issue
associated with the MCMC approach. We illustrate our approach on limited
simulations and some real data set.
| stat.CO stat.ME | we generalize the approach of liu and lawrence 1999 for multiple changepoint problems where the number of changepoints is unknown the approach is based on dynamic programming recursion for efficient calculation of the marginal probability of the data with the hidden parameters integrated out for the estimation of the hyperparameters we propose to use monte carlo em when training data are available we argue that there is some advantages of using samples from the posterior which takes into account the uncertainty of the changepoints compared to the traditional map estimator which is also more expensive to compute in this context the samples from the posterior obtained by our algorithm are independent getting rid of the convergence issue associated with the mcmc approach we illustrate our approach on limited simulations and some real data set | [['we', 'generalize', 'the', 'approach', 'of', 'liu', 'and', 'lawrence', '1999', 'for', 'multiple', 'changepoint', 'problems', 'where', 'the', 'number', 'of', 'changepoints', 'is', 'unknown', 'the', 'approach', 'is', 'based', 'on', 'dynamic', 'programming', 'recursion', 'for', 'efficient', 'calculation', 'of', 'the', 'marginal', 'probability', 'of', 'the', 'data', 'with', 'the', 'hidden', 'parameters', 'integrated', 'out', 'for', 'the', 'estimation', 'of', 'the', 'hyperparameters', 'we', 'propose', 'to', 'use', 'monte', 'carlo', 'em', 'when', 'training', 'data', 'are', 'available', 'we', 'argue', 'that', 'there', 'is', 'some', 'advantages', 'of', 'using', 'samples', 'from', 'the', 'posterior', 'which', 'takes', 'into', 'account', 'the', 'uncertainty', 'of', 'the', 'changepoints', 'compared', 'to', 'the', 'traditional', 'map', 'estimator', 'which', 'is', 'also', 'more', 'expensive', 'to', 'compute', 'in', 'this', 'context', 'the', 'samples', 'from', 'the', 'posterior', 'obtained', 'by', 'our', 'algorithm', 'are', 'independent', 'getting', 'rid', 'of', 'the', 'convergence', 'issue', 'associated', 'with', 'the', 'mcmc', 'approach', 'we', 'illustrate', 'our', 'approach', 'on', 'limited', 'simulations', 'and', 'some', 'real', 'data', 'set']] | [-0.027287081192393522, 0.007565494932567895, -0.09867887585354385, 0.09432606649091606, -0.09680742428832646, -0.10447437274478265, 0.09680530665887159, 0.3876834968035457, -0.26528795887785617, -0.3414388370088566, 0.13200303747878173, -0.2697378502352469, -0.12936310253258962, 0.21931113912932462, -0.07945127035282663, 0.09826181130483747, 0.10948217218852978, -0.00024053127741190924, -0.0671800580553349, -0.28735248519302303, 0.30316274873599575, 0.0663111824333779, 0.28036771726502635, -0.04492665244937082, 0.14078916146666673, 0.031209787404261974, -0.07430802629009556, -0.00624873691738875, -0.13096876146903638, 0.1575915741338047, 0.2612876301238647, 0.18998194684541858, 0.31279051873082325, -0.4019201294755313, -0.19399722598826707, 0.11538671274016153, 0.1245306214759015, 0.12305611889955323, -0.014500090684815581, -0.30664691830109525, 0.07954690646755495, -0.14290671986736245, -0.050713899646148974, -0.1174272950599665, -0.04476969281850911, 0.012692552886958888, -0.33493643912222626, 0.07397397440304779, 0.00026869253818390527, 0.03213792584607127, -0.018012933898717165, -0.15305966788593597, 0.019935719660177494, 0.09677727363066255, 0.08868254585549541, 0.007892388338744363, 0.09412553465278792, -0.08266909947139281, -0.10694783360266419, 0.3279758981470741, -0.0009645632600217168, -0.22084684249138764, 0.15370947495102882, -0.08936654655054323, -0.16923482110028837, 0.149078295686032, 0.17796983927229434, 0.1280956231439903, -0.15657100011475136, 0.09627997334403639, -0.04164988300658818, 0.12446933981281386, -0.005821185788563661, -0.039681303217562275, 0.1234419000223835, 0.18851938178422234, 0.05169983840992313, 0.16249275700633983, -0.15228930736045743, -0.11995155270447705, -0.29163203973960783, -0.1338557709328163, -0.24903839660474836, -0.029367285575578685, -0.13948402012704433, -0.17061356500958774, 0.3684433866500743, 0.28288162047905263, 0.2120841205938469, 0.1190243788261606, 0.33679927704132984, 0.12444195324485972, 0.03429061085430544, 0.11194803921936719, 0.1729807188207068, 0.0860376094881473, 0.029541794009117495, -0.19551831566374192, 0.11719972230216015, 0.027434360529574108] |
709.131 | Pairing Correlations in halo Nuclei | Paring correlations in weakly bound halo nuclei $^{6}$He and $^{11}$Li are
studied by using a three-body model with a density-dependent contact
interaction. We investigate the spatial structure of two-neutron wave function
in a Borromean nucleus $^{11}$Li.The behavior of the neutron pair at different
densities is simulated by calculating the two-neutron wave function at several
distances between the core nucleus $^9$Li and the center of mass of the two
neutrons. With this representation, a strong concentration of the neutron pair
on the nuclear surface is quantitatively established for neutron-rich nuclei.
Dipole excitations in $^{6}$He and $^{11}$Li are also studied within the same
three-body model and compared with experimental data. The small open angles
between the two neutrons from the core are extracted empirically by the B(E1)
sum rule together with the rms mass radii, indicating the strong di-neutron
correlation in the halo nuclei.
| nucl-ex | paring correlations in weakly bound halo nuclei 6he and 11li are studied by using a threebody model with a densitydependent contact interaction we investigate the spatial structure of twoneutron wave function in a borromean nucleus 11lithe behavior of the neutron pair at different densities is simulated by calculating the twoneutron wave function at several distances between the core nucleus 9li and the center of mass of the two neutrons with this representation a strong concentration of the neutron pair on the nuclear surface is quantitatively established for neutronrich nuclei dipole excitations in 6he and 11li are also studied within the same threebody model and compared with experimental data the small open angles between the two neutrons from the core are extracted empirically by the be1 sum rule together with the rms mass radii indicating the strong dineutron correlation in the halo nuclei | [['paring', 'correlations', 'in', 'weakly', 'bound', 'halo', 'nuclei', '6he', 'and', '11li', 'are', 'studied', 'by', 'using', 'a', 'threebody', 'model', 'with', 'a', 'densitydependent', 'contact', 'interaction', 'we', 'investigate', 'the', 'spatial', 'structure', 'of', 'twoneutron', 'wave', 'function', 'in', 'a', 'borromean', 'nucleus', '11lithe', 'behavior', 'of', 'the', 'neutron', 'pair', 'at', 'different', 'densities', 'is', 'simulated', 'by', 'calculating', 'the', 'twoneutron', 'wave', 'function', 'at', 'several', 'distances', 'between', 'the', 'core', 'nucleus', '9li', 'and', 'the', 'center', 'of', 'mass', 'of', 'the', 'two', 'neutrons', 'with', 'this', 'representation', 'a', 'strong', 'concentration', 'of', 'the', 'neutron', 'pair', 'on', 'the', 'nuclear', 'surface', 'is', 'quantitatively', 'established', 'for', 'neutronrich', 'nuclei', 'dipole', 'excitations', 'in', '6he', 'and', '11li', 'are', 'also', 'studied', 'within', 'the', 'same', 'threebody', 'model', 'and', 'compared', 'with', 'experimental', 'data', 'the', 'small', 'open', 'angles', 'between', 'the', 'two', 'neutrons', 'from', 'the', 'core', 'are', 'extracted', 'empirically', 'by', 'the', 'be1', 'sum', 'rule', 'together', 'with', 'the', 'rms', 'mass', 'radii', 'indicating', 'the', 'strong', 'dineutron', 'correlation', 'in', 'the', 'halo', 'nuclei']] | [-0.05747601766046797, 0.19907637301119083, -0.09123691162160526, 0.17436598689569463, 0.04778843985685537, -0.07348542371665702, 0.032657286497361375, 0.37801064793945205, -0.2058782874150796, -0.3051310838299229, -0.09696257698963931, -0.33567938668296693, -0.01496297713527654, 0.1289980846642127, 0.14331257659512578, 0.030572883913158076, 0.0469426670547654, 0.05122725686375448, -0.12267918217636592, -0.13056584673187305, 0.3954605763342152, 0.07095827669869606, 0.22308212831774923, 0.12286391046654899, 0.05016602869789572, 0.03947508462922687, 0.03194891872769552, -0.0569550007059906, -0.10991429030591397, 0.08484769973520798, 0.23188984088462625, 0.04670697788407379, 0.16468529462242987, -0.4088244765983723, -0.1571263460878362, 0.08226070072871784, 0.16761970389072936, 0.12804002483897176, -0.0844335157080745, -0.3466186170988049, 0.023163353452947757, -0.2649880950636369, -0.1703288427930563, -0.0301231319660235, 0.06933556017730094, 0.13644312102023962, -0.223437004384555, 0.12595258285072697, -0.01102063997734523, 0.01959102392751486, -0.1409058653376336, -0.21597748310536358, -0.022177966899430076, 0.07608814599283092, 0.091429670042431, 0.05710253491337206, 0.19335828122108223, -0.12272991906977028, -0.021872240299910493, 0.3558575636806323, -0.011848615337136789, -0.12675510904692272, 0.15722528205695727, -0.1909405723451934, -0.09653747655741923, 0.16926719380892707, 0.13715137682189663, 0.09524051311379629, -0.16642627386080683, 0.026008048093157776, -0.06966713759763304, 0.21720272710411445, 0.08370954191133856, 0.011640889064824961, 0.230572850838079, 0.2011691652178923, -0.003623254768920283, 0.0915108547919159, -0.20623260345607203, -0.11624820069376882, -0.2640205827997403, -0.03557927130947735, -0.17301481908041957, -0.02638298867816099, -0.07705078080930403, -0.08137154811662985, 0.3440307661534307, -0.026281267146956413, 0.23740667366614263, 0.0046324078852297565, 0.2941848950506789, 0.05993893842959235, 0.07909453547302078, 0.04731165981316503, 0.34529996682651976, 0.24033181064973538, -0.014075257333246528, -0.3276507317448524, 0.06202984536694138, 0.057877526413781424] |
709.1311 | Higher order terms in the condensate fraction of a homogeneous and
dilute Bose gas | The condensate fraction of a homogeneous and dilute Bose gas is expanded as a
power series of $\sqrt{n a^3}$ as $N_0/N = 1 -c_1 (n a^3)^{1/2} -c_2 (n a^3) -
c_3 (n a^3)^{3/2}\hdots.$ The coefficient $c_1$ is well-known as $8/3
\sqrt{\pi}$, but the others are unknown yet. Considering two-body contact
interactions and applying a canonical transformation method twice we developed
the method to obtain the higher order coefficients analytically. An iteration
method is applied to make up a cutoff in a fluctuation term. The coefficients
ares $c_2=2(\pi - 8/3)$ and $c_3=(4/\sqrt{\pi}) (\pi -8/3)(10/3-\pi)$.
| cond-mat.stat-mech | the condensate fraction of a homogeneous and dilute bose gas is expanded as a power series of sqrtn a3 as n_0n 1 c_1 n a312 c_2 n a3 c_3 n a332hdots the coefficient c_1 is wellknown as 83 sqrtpi but the others are unknown yet considering twobody contact interactions and applying a canonical transformation method twice we developed the method to obtain the higher order coefficients analytically an iteration method is applied to make up a cutoff in a fluctuation term the coefficients ares c_22pi 83 and c_34sqrtpi pi 83103pi | [['the', 'condensate', 'fraction', 'of', 'a', 'homogeneous', 'and', 'dilute', 'bose', 'gas', 'is', 'expanded', 'as', 'a', 'power', 'series', 'of', 'sqrtn', 'a3', 'as', 'n_0n', '1', 'c_1', 'n', 'a312', 'c_2', 'n', 'a3', 'c_3', 'n', 'a332hdots', 'the', 'coefficient', 'c_1', 'is', 'wellknown', 'as', '83', 'sqrtpi', 'but', 'the', 'others', 'are', 'unknown', 'yet', 'considering', 'twobody', 'contact', 'interactions', 'and', 'applying', 'a', 'canonical', 'transformation', 'method', 'twice', 'we', 'developed', 'the', 'method', 'to', 'obtain', 'the', 'higher', 'order', 'coefficients', 'analytically', 'an', 'iteration', 'method', 'is', 'applied', 'to', 'make', 'up', 'a', 'cutoff', 'in', 'a', 'fluctuation', 'term', 'the', 'coefficients', 'ares', 'c_22pi', '83', 'and', 'c_34sqrtpi', 'pi', '83103pi']] | [-0.16630203739041463, 0.15760430681180237, -0.06480008622645127, 0.03617959973429713, -0.026137255953953546, -0.20312273558092248, 0.05967908771160771, 0.3296838944668279, -0.24118001651676263, -0.27266957990359514, 0.03302860117983073, -0.317301191371756, -0.1079259823925574, 0.13678618380868368, 0.03963330926044899, 0.052378013278083765, -0.036459931840791424, 0.08167278256013935, -0.04798864617067225, -0.30835080230060746, 0.22609973854987936, 0.01637202877113048, 0.20569858334082014, 0.04102453706676469, 0.08880018722813796, -0.03932062263655312, -0.00500903744250536, -0.012541812954141814, -0.15159038131070487, 0.057544781075900095, 0.2105861950556145, 0.007888052952201928, 0.236508412045591, -0.320771907423349, -0.15851209055194082, 0.09380977438653217, 0.193104455658399, 0.07492209977525122, 0.03226817263399853, -0.186924693826586, 0.020891828837578515, -0.2272328102385954, -0.19885670207440853, -0.11062325084691539, 0.08489115279277458, 0.009141355487244094, -0.3349450137520976, 0.129245721874887, 0.07532811289077954, 0.04374058567644919, -0.015181727184201865, -0.17101188887129812, 0.03606824199395145, 0.09188514795044765, 0.016719900251165896, 0.10020543380695231, 0.1219022320884773, -0.09244405130910523, -0.0139216169660144, 0.4172766758457703, -0.12845983880654196, -0.18782340516062343, 0.12493534717051422, -0.1298837404424215, -0.1234580974204137, 0.15669107248677927, 0.0822757223240949, 0.1440309348591494, -0.10815530059420887, 0.11909910425995751, -0.02308774191667052, 0.18806425167576354, 0.11490454298498876, -0.04992272246848135, 0.08226891673334381, 0.06212063825360554, 0.040899993473773495, 0.11795345765593297, -0.05719819932299502, -0.03846425487495521, -0.2859287057441714, -0.12897371851346073, -0.22312886184629271, 0.10360307407510631, -0.11708437417965957, -0.09967274333158617, 0.29424834941678185, 0.042196189108140325, 0.24952309119569904, 0.06964985344435691, 0.27049204477054234, 0.14614975094137822, 0.032420216013184365, 0.06810830549391754, 0.18399754493113826, 0.18821497645009966, 0.06099015808362952, -0.222427619834814, 0.001810661084292566, 0.14623235715553165] |
709.1312 | Bottomed Analog of Z+(4433) | The newly observed $Z^+ (4433)$ resonance by BELLE is believed to be a
tetraquark bound state made up of $(cu)(\bar c \bar d)$. We propose the
bottomed analog of this bound state, namely, by replacing one of the charm
quarks by a bottom quark, thus forming $Z_{bc}^{0, \pm, \pm\pm}$. One of the
$Z_{bc}$ is doubly charged. The predicted mass of $Z_{bc}$ is around 7.6 GeV.
This doubly-charged bound state can be detected by its decay into $B_c^\pm
\pi^\pm$. Similarly, we can also replace both charm quark and antiquark of the
$Z^+ (4433)$ by bottom quark and antiquark, respectively, thus forming $Z_{bb}$
the bottomonium analog of $Z^+ (4433)$. The predicted mass of $Z_{bb}$ is about
10.7 GeV.
| hep-ph | the newly observed z 4433 resonance by belle is believed to be a tetraquark bound state made up of cubar c bar d we propose the bottomed analog of this bound state namely by replacing one of the charm quarks by a bottom quark thus forming z_bc0 pm pmpm one of the z_bc is doubly charged the predicted mass of z_bc is around 76 gev this doublycharged bound state can be detected by its decay into b_cpm pipm similarly we can also replace both charm quark and antiquark of the z 4433 by bottom quark and antiquark respectively thus forming z_bb the bottomonium analog of z 4433 the predicted mass of z_bb is about 107 gev | [['the', 'newly', 'observed', 'z', '4433', 'resonance', 'by', 'belle', 'is', 'believed', 'to', 'be', 'a', 'tetraquark', 'bound', 'state', 'made', 'up', 'of', 'cubar', 'c', 'bar', 'd', 'we', 'propose', 'the', 'bottomed', 'analog', 'of', 'this', 'bound', 'state', 'namely', 'by', 'replacing', 'one', 'of', 'the', 'charm', 'quarks', 'by', 'a', 'bottom', 'quark', 'thus', 'forming', 'z_bc0', 'pm', 'pmpm', 'one', 'of', 'the', 'z_bc', 'is', 'doubly', 'charged', 'the', 'predicted', 'mass', 'of', 'z_bc', 'is', 'around', '76', 'gev', 'this', 'doublycharged', 'bound', 'state', 'can', 'be', 'detected', 'by', 'its', 'decay', 'into', 'b_cpm', 'pipm', 'similarly', 'we', 'can', 'also', 'replace', 'both', 'charm', 'quark', 'and', 'antiquark', 'of', 'the', 'z', '4433', 'by', 'bottom', 'quark', 'and', 'antiquark', 'respectively', 'thus', 'forming', 'z_bb', 'the', 'bottomonium', 'analog', 'of', 'z', '4433', 'the', 'predicted', 'mass', 'of', 'z_bb', 'is', 'about', '107', 'gev']] | [-0.06870859097486928, 0.3204180109760036, -0.0717567500607718, 0.11939992282904037, -0.014837016329250259, -0.16929310520139076, 0.13315813859276798, 0.28593068665055477, -0.15268709273887393, -0.2685932438172724, -0.019385386491194367, -0.31282471784431004, 0.0815486930148757, 0.0903532902750632, 0.07317189571002256, 0.07984660795798687, 0.061415599675282186, 0.026389836216264444, -0.03993756099320624, -0.2118467129766941, 0.2874311705565323, -0.028066245644636775, 0.13328794359391474, 0.14088786945718787, -0.005226108850405106, -0.04645603565985094, 0.012955209037855915, -0.13496616485974064, -0.10762432930831616, 0.06044663687277099, 0.1492834043724503, 0.07422157902594494, 0.1440816446652879, -0.2814769508074159, -0.06974476683763382, 0.11602043307831754, 0.20358343530527276, 0.050410176356039615, -0.03958734407535066, -0.37419046901328407, 0.20396538135879067, -0.21884099434170387, -0.15821207471434837, -0.028145512130678348, 0.012036095871387617, -0.08760569954452956, -0.28921976674186145, 0.13940193669075834, -0.020930352728085026, -0.029701068138946657, -0.005107824873867566, -0.2668877766508123, -0.12754972930187763, -0.030648736793385898, 0.05794684058460205, 0.1790817069805875, 0.16023646454205331, -0.14645847891578856, -0.16171180105504945, 0.36536476016044617, -0.10064500415616709, -0.13466285363386343, 0.11210503153624418, -0.18375105459000105, -0.07400518106701581, 0.13554788117661423, 0.18109069048204338, 0.08257870380564228, -0.19817123182279908, 0.11176308544008466, -0.0871059851984129, 0.18359716051946515, 0.14361898769503054, 0.057924744689270204, 0.25314225019082304, 0.18558512959001666, -0.0329912014791499, 0.08853165332187453, -0.10935272442318661, -0.04306681777715035, -0.31810250256372535, -0.15717726930945544, -0.10374079857871908, 0.12980155247142133, -0.03440772285305328, -0.038726423611945435, 0.35228474522414416, -0.007148636440220087, 0.29357028776455835, -0.041059993986931186, 0.25387283702907354, 0.07802517652997504, 0.06977252687388302, 0.1453200328507987, 0.30485494475325814, 0.23598629828420994, 0.10505412627497444, -0.23791616113917174, 0.0150282125312673, 0.07194538780123644] |
709.1313 | Entanglement of Uniformly Accelerating Schrodinger, Dirac, and Scalar
Particles | We study how the entanglement of an entangled pair of particles is affected
when one or both of the pair is uniformly accelerated, while the detector
remains in an inertial frame. We find that the entanglement is unchanged if all
degrees of freedom are considered. However, particle pairs are produced when a
relativistic particle is accelerated, and more bipartite systems emerge, the
entanglements of some of which may change as the acceleration. In particular,
the entanglement of a pair of accelerating fermions is transferred
preferentially to the produced antiparticles when the acceleration is large,
and the entanglement transfer is complete when the acceleration approaches
infinity. However, no such entanglement transfer to the antiparticles is
observed for scalar particles.
| quant-ph | we study how the entanglement of an entangled pair of particles is affected when one or both of the pair is uniformly accelerated while the detector remains in an inertial frame we find that the entanglement is unchanged if all degrees of freedom are considered however particle pairs are produced when a relativistic particle is accelerated and more bipartite systems emerge the entanglements of some of which may change as the acceleration in particular the entanglement of a pair of accelerating fermions is transferred preferentially to the produced antiparticles when the acceleration is large and the entanglement transfer is complete when the acceleration approaches infinity however no such entanglement transfer to the antiparticles is observed for scalar particles | [['we', 'study', 'how', 'the', 'entanglement', 'of', 'an', 'entangled', 'pair', 'of', 'particles', 'is', 'affected', 'when', 'one', 'or', 'both', 'of', 'the', 'pair', 'is', 'uniformly', 'accelerated', 'while', 'the', 'detector', 'remains', 'in', 'an', 'inertial', 'frame', 'we', 'find', 'that', 'the', 'entanglement', 'is', 'unchanged', 'if', 'all', 'degrees', 'of', 'freedom', 'are', 'considered', 'however', 'particle', 'pairs', 'are', 'produced', 'when', 'a', 'relativistic', 'particle', 'is', 'accelerated', 'and', 'more', 'bipartite', 'systems', 'emerge', 'the', 'entanglements', 'of', 'some', 'of', 'which', 'may', 'change', 'as', 'the', 'acceleration', 'in', 'particular', 'the', 'entanglement', 'of', 'a', 'pair', 'of', 'accelerating', 'fermions', 'is', 'transferred', 'preferentially', 'to', 'the', 'produced', 'antiparticles', 'when', 'the', 'acceleration', 'is', 'large', 'and', 'the', 'entanglement', 'transfer', 'is', 'complete', 'when', 'the', 'acceleration', 'approaches', 'infinity', 'however', 'no', 'such', 'entanglement', 'transfer', 'to', 'the', 'antiparticles', 'is', 'observed', 'for', 'scalar', 'particles']] | [-0.15001984616106187, 0.3004385847146958, -0.06945110255432063, 0.07636991145594393, 0.0020426354367064975, -0.16378164286646296, -0.07738097638515282, 0.3625287499310354, -0.2630350256528137, -0.26750968972820854, 0.01710527025407843, -0.3365726140248826, -0.024589986380552716, 0.15066571174765606, -0.0010478333885765682, 0.01414893071909072, 0.0977965555542496, 0.10406952408158172, -0.0313292667328901, -0.24376898460974128, 0.3194988512363032, 0.10064061081739363, 0.2546870563084544, 0.07968641707468462, 0.12209471139782582, 0.007925113327643377, 0.02573962327708506, 0.02265190851669443, -0.034378339428273605, 0.07934393482756312, 0.1950606514810253, 0.13100475549176968, 0.2491743689781781, -0.40127198059522245, -0.19647035666473084, 0.17611798148412824, 0.18350218529260512, 0.15777858821734375, -0.08190165739370829, -0.2374306714588429, 0.04644766998856123, -0.15984721723312545, -0.11870922389740156, -0.027570232496423236, 0.03711469905545651, 0.0024029306817791914, -0.27022705199907265, 0.1017822730749593, 0.09231086976735427, 0.009091840030909595, -0.012233676665099495, -0.014352566412634264, -0.05051378649264827, 0.12409722336106223, 0.0886078777395473, 0.02518485466578691, 0.16527849624833188, -0.15470669650614766, -0.10775035768214582, 0.42518360158270696, -0.01726766068969806, -0.22575138345108195, 0.23027808659106208, -0.15426630724884444, -0.0603313620588979, 0.10675610038372925, 0.1314318926720801, 0.13883291729094493, -0.14200761796111414, 0.05906881945172199, -0.01670214207842946, 0.14269776359768743, 0.07914125049581468, 0.0792593732860997, 0.24268384274663563, 0.07998087282205726, 0.06584049266234229, 0.16081292521587368, -0.06546737289182462, -0.12372530873280839, -0.33142159097843754, -0.2222268504043252, -0.2533620421003187, 0.043032970352461404, -0.06495049625010647, -0.12369826323968375, 0.39530679968706633, 0.1021964805816316, 0.19373444983956672, -0.01227651153971299, 0.2763590297456515, 0.10274323360438033, 0.04190963207570426, 0.1263282804747933, 0.32430939734997266, 0.08383642781083867, 0.0789978514460973, -0.24103943210181986, 0.04018873769703116, 0.014033561525077133] |
709.1314 | Quantum metamaterials: Electromagnetic waves in a Josephson qubit line | We consider the propagation of a classical electromagnetic wave through a
transmission line, formed by identical superconducting charge qubits inside a
superconducting resonator. Since the qubits can be in a coherent superposition
of quantum states, we show that such a system demonstrates interesting new
effects, such as a ``breathing'' photonic crystal with an oscillating bandgap,
and a ``quantum Archimedean screw'' that transports, at an arbitrary controlled
velocity, Josephson plasma waves through the transmission line. The key
ingredient of these effects is that the optical properties of the Josephson
transmission line are controlled by the quantum coherent state of the qubits.
| cond-mat.supr-con cond-mat.other quant-ph | we consider the propagation of a classical electromagnetic wave through a transmission line formed by identical superconducting charge qubits inside a superconducting resonator since the qubits can be in a coherent superposition of quantum states we show that such a system demonstrates interesting new effects such as a breathing photonic crystal with an oscillating bandgap and a quantum archimedean screw that transports at an arbitrary controlled velocity josephson plasma waves through the transmission line the key ingredient of these effects is that the optical properties of the josephson transmission line are controlled by the quantum coherent state of the qubits | [['we', 'consider', 'the', 'propagation', 'of', 'a', 'classical', 'electromagnetic', 'wave', 'through', 'a', 'transmission', 'line', 'formed', 'by', 'identical', 'superconducting', 'charge', 'qubits', 'inside', 'a', 'superconducting', 'resonator', 'since', 'the', 'qubits', 'can', 'be', 'in', 'a', 'coherent', 'superposition', 'of', 'quantum', 'states', 'we', 'show', 'that', 'such', 'a', 'system', 'demonstrates', 'interesting', 'new', 'effects', 'such', 'as', 'a', 'breathing', 'photonic', 'crystal', 'with', 'an', 'oscillating', 'bandgap', 'and', 'a', 'quantum', 'archimedean', 'screw', 'that', 'transports', 'at', 'an', 'arbitrary', 'controlled', 'velocity', 'josephson', 'plasma', 'waves', 'through', 'the', 'transmission', 'line', 'the', 'key', 'ingredient', 'of', 'these', 'effects', 'is', 'that', 'the', 'optical', 'properties', 'of', 'the', 'josephson', 'transmission', 'line', 'are', 'controlled', 'by', 'the', 'quantum', 'coherent', 'state', 'of', 'the', 'qubits']] | [-0.24705228313570843, 0.2488242144070682, -0.027928231242112814, -0.02611954169231467, -0.020088237505406142, -0.16696686433162541, 0.05749521341160289, 0.38951692771166563, -0.2528706772439182, -0.2121099816635251, 0.007538570961914956, -0.2644124576076865, -0.1278627245919779, 0.24890735886991025, 0.04333929967018776, 0.08356613028794527, 0.02180852085351944, -0.012354860987979919, -0.04263093491317704, -0.15883795207599177, 0.32437578321434557, 0.022430947126122192, 0.3301782581023872, 0.02760527141392231, 0.10558905016165226, 0.014590097663458437, 0.09550688573159277, 0.0019268200546503067, -0.1016031289302191, 0.0739605909556849, 0.2515835028514266, -0.0052936508692801, 0.23310164427850397, -0.49936032490804794, -0.2534438570868224, 0.03132987800985575, 0.17179223301413005, 0.20120276218280198, -0.047361498209647836, -0.32872969741001723, 0.014314148158300668, -0.14744972225744277, -0.13745237220078707, -0.01581660588271916, -0.018506269957870244, 0.04061359276995063, -0.21556653218343855, 0.030586204789578915, 0.052633600117987955, 0.04737112794071436, 0.005342089561745525, 0.018665442474884913, -0.03728537600953132, 0.05684786118101329, -0.08035113243269734, -0.016550556782167405, 0.18315433450974525, -0.11178979004733264, -0.15431831292808057, 0.35357378924265503, -0.0513037038478069, -0.14838581711985172, 0.1105764209665358, -0.09700070217106259, -0.004029594869352877, 0.13201083111111075, 0.1337904116878053, 0.06053041577339172, -0.10681646883487701, 0.01654027035634499, -0.058015962093923006, 0.1991889294749126, 0.08866773365763947, 0.13869505452923478, 0.30229011859744787, 0.1355718799121678, 0.07038645773194731, 0.18042533597792498, -0.11407288734801113, -0.06157511170953512, -0.3388043079897761, -0.21478566516190767, -0.2160623874887824, 0.11666431405159529, -0.04449964865198126, -0.21559789155609907, 0.41135725021362307, 0.09791284593811725, 0.16133467292413115, -0.09346937160007655, 0.29617147210985423, 0.15091358143719844, 0.06733586183749139, 0.058539245179854336, 0.26090803956845776, 0.20715742774773388, 0.07201867607422173, -0.3228170798672363, 0.018404191727750003, -0.02139943713787943] |
709.1315 | Recent progress in B physics | We firstly address the recent efforts on calculations of the next-to-leading
order corrections to the color-suppressed tree amplitude in QCD factorization
method which may be essential to solve the puzzles in $B\to \pi\pi$ and $\pi K$
decays. Then we discuss the polarization puzzles in $B\to \phi K^*$ and $\rho
K^*$. The impacts of the newly measured $B_s-\bar B_s$ mixing and $B^+\to
\tau^+\nu$ on the CKM unitarity triangle global fitting are mentioned. We also
briefly review the recent measurements of the new resonances at BaBar and
Belle. Finally, some new results from hadron colliders, especially the
$b$-flavored hadron spectra, are discussed.
| hep-ph | we firstly address the recent efforts on calculations of the nexttoleading order corrections to the colorsuppressed tree amplitude in qcd factorization method which may be essential to solve the puzzles in bto pipi and pi k decays then we discuss the polarization puzzles in bto phi k and rho k the impacts of the newly measured b_sbar b_s mixing and bto taunu on the ckm unitarity triangle global fitting are mentioned we also briefly review the recent measurements of the new resonances at babar and belle finally some new results from hadron colliders especially the bflavored hadron spectra are discussed | [['we', 'firstly', 'address', 'the', 'recent', 'efforts', 'on', 'calculations', 'of', 'the', 'nexttoleading', 'order', 'corrections', 'to', 'the', 'colorsuppressed', 'tree', 'amplitude', 'in', 'qcd', 'factorization', 'method', 'which', 'may', 'be', 'essential', 'to', 'solve', 'the', 'puzzles', 'in', 'bto', 'pipi', 'and', 'pi', 'k', 'decays', 'then', 'we', 'discuss', 'the', 'polarization', 'puzzles', 'in', 'bto', 'phi', 'k', 'and', 'rho', 'k', 'the', 'impacts', 'of', 'the', 'newly', 'measured', 'b_sbar', 'b_s', 'mixing', 'and', 'bto', 'taunu', 'on', 'the', 'ckm', 'unitarity', 'triangle', 'global', 'fitting', 'are', 'mentioned', 'we', 'also', 'briefly', 'review', 'the', 'recent', 'measurements', 'of', 'the', 'new', 'resonances', 'at', 'babar', 'and', 'belle', 'finally', 'some', 'new', 'results', 'from', 'hadron', 'colliders', 'especially', 'the', 'bflavored', 'hadron', 'spectra', 'are', 'discussed']] | [-0.08141256883740425, 0.2311891064234078, -0.08029913627076894, 0.10390268164686858, -0.10754294272745028, -0.11716628354042768, 0.08329750466742553, 0.29186679373960944, -0.2560554015357047, -0.17757341797463597, 0.012854737989837304, -0.41258743934333325, -0.06877203351119533, 0.11368493559537456, 0.07266209573252126, 0.17278072499670089, 0.09605903251096606, -0.020005232132971288, -0.11065395639277995, -0.22776906626299023, 0.2520187277253717, 0.0134575217589736, 0.1657542800763622, 0.19145863532088697, -0.07649484771769494, -0.04514436404686421, -0.0938116536103189, -0.0508139482466504, -0.22381035722792147, 0.06398725570179523, 0.25699734818190334, 0.14609237262047828, 0.07091310816118494, -0.3645205014105886, -0.031010766952531413, 0.12696478119120003, 0.1653623951971531, 0.10808680590707809, -0.0168263605539687, -0.35838599562644957, 0.13718455649912356, -0.15608855467755348, -0.06473702395363944, -0.1502858044207096, -0.012727613710449077, -0.11235676114447415, -0.3076927431486547, 0.03373197572975187, -0.0668113697739318, 0.025059162412580917, 0.02469348618411459, -0.3337296472932212, 0.04720499863382429, -0.013372760958736763, 0.13090945849195124, 0.07528377955313773, 0.13625427201390267, -0.16334787771338596, -0.1956329103326425, 0.40843407571315765, -0.03894432910659816, -0.10141795438714325, 0.09511788621312008, -0.25045669125043785, -0.23890143828000873, 0.115326744953054, 0.23195046258158983, 0.03723231782205403, -0.1796167880250141, 0.1761094343685545, -0.032670918283984066, 0.1163763930182904, 0.1037993848323822, 0.07514649960678071, 0.16974120991304517, 0.1622190739947837, -0.05734390751400497, 0.04326011182740331, -0.08692710507253651, -0.04350332143716514, -0.42339949648827313, -0.09234912833198905, -0.05851911924313754, 0.022206650138832627, -0.05171802611963358, -0.05447665013372898, 0.3756066849129274, 0.11462620034464635, 0.32639093801495617, -0.010155034452909604, 0.35741717018187047, 0.06591094089555555, 0.04986889733525459, 0.06544448326807469, 0.2968842457575374, 0.21808232236653566, 0.15306183649692684, -0.344122882403899, 0.04179818477248773, 0.05921130303060636] |
709.1316 | A mean ergodic theorem for actions of amenable quantum groups | We prove a weak form of the mean ergodic theorem for actions of amenable
locally compact quantum groups in the von Neumann algebra setting.
| math.OA | we prove a weak form of the mean ergodic theorem for actions of amenable locally compact quantum groups in the von neumann algebra setting | [['we', 'prove', 'a', 'weak', 'form', 'of', 'the', 'mean', 'ergodic', 'theorem', 'for', 'actions', 'of', 'amenable', 'locally', 'compact', 'quantum', 'groups', 'in', 'the', 'von', 'neumann', 'algebra', 'setting']] | [-0.161040668686231, 0.15140041107467064, -0.14542095378662148, 0.10484548332169652, -0.06158568554868301, -0.1745110053840714, 0.039926937034276, 0.3460489546317452, -0.3221745854243636, -0.054411082955387734, 0.15719282479161242, -0.22262595458111414, -0.08211030714058627, 0.28098883739827824, -0.2045608851670598, 0.03464885659438247, 0.1395013323732807, 0.2214883891865611, -0.1111475396513318, -0.23323467645483711, 0.4219366470351815, -0.09755845118100599, 0.2725474877903859, 0.02775356173030256, 0.10939280183326143, 0.0752874954099146, -0.0395925633298854, 0.07201071056382109, -0.1666719157171125, 0.13060295721516013, 0.3027908188911776, 0.03925404747133143, 0.34535053418949246, -0.3794658547267318, -0.14951808688541254, 0.18350291713917008, 0.04368607490323484, 0.028290025579432648, -0.0485913715189478, -0.38436756810794276, 0.11195288059146453, -0.2601622488970558, -0.12865257480492195, -0.07350865289724122, 0.01858536902970324, -0.050423083400043346, -0.2690663185591499, 0.16165128637415668, 0.18467952959084263, 0.13433099363464862, -0.13600168757451078, 0.03840633574873209, 0.027933945840535063, 0.15517196437576786, -0.1133855062071234, -0.05035464275473108, 0.17184243764495477, -0.012715963336328665, -0.13989253879602379, 0.34247755181665224, -0.06391680962406099, -0.24649182241410017, 0.1552438714231054, -0.22379224064449468, -0.21094551915302873, 0.03059449853996436, 0.09034688553462426, 0.14923680775488415, -0.06546787397625546, 0.24335904031371078, -0.12999869025467584, 0.06243251341705521, 0.011525879730470479, 0.06290665765603383, 0.09406953398138285, 0.0232772221788764, 0.21121617678242424, 0.15727913253552592, 0.12435242634577055, -0.07552374394920965, -0.35395172983407974, -0.24930911355962357, -0.13619358677533455, 0.2064709442978104, -0.11253002155960228, -0.24479953317010464, 0.2554143300803844, 0.024154483748134226, 0.042661524416568376, 0.20979997771792114, 0.17409099522046745, 0.13623962806498943, 0.014240353950299323, 0.1637768018602704, 0.10177079976225893, 0.34290315486335504, -0.02913758057790498, -0.1739083988747249, -0.08468242513481528, 0.2663052868641292] |
709.1317 | Forecasting neutrino masses from combining KATRIN and the CMB:
Frequentist and Bayesian analyses | We present a showcase for deriving bounds on the neutrino masses from
laboratory experiments and cosmological observations. We compare the
frequentist and Bayesian bounds on the effective electron neutrino mass m_beta
which the KATRIN neutrino mass experiment is expected to obtain, using both an
analytical likelihood function and Monte Carlo simulations of KATRIN. Assuming
a uniform prior in m_beta, we find that a null result yields an upper bound of
about 0.17 eV at 90% confidence in the Bayesian analysis, to be compared with
the frequentist KATRIN reference value of 0.20 eV. This is a significant
difference when judged relative to the systematic and statistical uncertainties
of the experiment. On the other hand, an input m_beta=0.35 eV, which is the
KATRIN 5sigma detection threshold, would be detected at virtually the same
level. Finally, we combine the simulated KATRIN results with cosmological data
in the form of present (post-WMAP) and future (simulated Planck) observations.
If an input of m_beta=0.2 eV is assumed in our simulations, KATRIN alone
excludes a zero neutrino mass at 2.2sigma. Adding Planck data increases the
probability of detection to a median 2.7sigma. The analysis highlights the
importance of combining cosmological and laboratory data on an equal footing.
| hep-ph astro-ph | we present a showcase for deriving bounds on the neutrino masses from laboratory experiments and cosmological observations we compare the frequentist and bayesian bounds on the effective electron neutrino mass m_beta which the katrin neutrino mass experiment is expected to obtain using both an analytical likelihood function and monte carlo simulations of katrin assuming a uniform prior in m_beta we find that a null result yields an upper bound of about 017 ev at 90 confidence in the bayesian analysis to be compared with the frequentist katrin reference value of 020 ev this is a significant difference when judged relative to the systematic and statistical uncertainties of the experiment on the other hand an input m_beta035 ev which is the katrin 5sigma detection threshold would be detected at virtually the same level finally we combine the simulated katrin results with cosmological data in the form of present postwmap and future simulated planck observations if an input of m_beta02 ev is assumed in our simulations katrin alone excludes a zero neutrino mass at 22sigma adding planck data increases the probability of detection to a median 27sigma the analysis highlights the importance of combining cosmological and laboratory data on an equal footing | [['we', 'present', 'a', 'showcase', 'for', 'deriving', 'bounds', 'on', 'the', 'neutrino', 'masses', 'from', 'laboratory', 'experiments', 'and', 'cosmological', 'observations', 'we', 'compare', 'the', 'frequentist', 'and', 'bayesian', 'bounds', 'on', 'the', 'effective', 'electron', 'neutrino', 'mass', 'm_beta', 'which', 'the', 'katrin', 'neutrino', 'mass', 'experiment', 'is', 'expected', 'to', 'obtain', 'using', 'both', 'an', 'analytical', 'likelihood', 'function', 'and', 'monte', 'carlo', 'simulations', 'of', 'katrin', 'assuming', 'a', 'uniform', 'prior', 'in', 'm_beta', 'we', 'find', 'that', 'a', 'null', 'result', 'yields', 'an', 'upper', 'bound', 'of', 'about', '017', 'ev', 'at', '90', 'confidence', 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709.1318 | Timelike Boundary Sine-Gordon Theory and Two-Component Plasma | It has long been known that there is a relation between boundary sine-Gordon
theory and thermodynamics of charge neutral two-component Coulomb plasma on a
unit circle. On the other hand, recently it was found that open string
worldsheet description of brane decay can be related to a sequence of points of
thermodynamic equilibrium of one-component plasma. Here we consider a different
decay process which is specifically described by the timelike boundary
sine-Gordon theory. We find time evolution to be mapped to a one-dimensional
curve in the space of points of thermal equilibrium of a non-neutral
two-component Coulomb plasma. We compute the free energy of the system and find
that along the curve it is monotonously decreasing, defining a thermodynamic
arrow of time.
| hep-th cond-mat.stat-mech | it has long been known that there is a relation between boundary sinegordon theory and thermodynamics of charge neutral twocomponent coulomb plasma on a unit circle on the other hand recently it was found that open string worldsheet description of brane decay can be related to a sequence of points of thermodynamic equilibrium of onecomponent plasma here we consider a different decay process which is specifically described by the timelike boundary sinegordon theory we find time evolution to be mapped to a onedimensional curve in the space of points of thermal equilibrium of a nonneutral twocomponent coulomb plasma we compute the free energy of the system and find that along the curve it is monotonously decreasing defining a thermodynamic arrow of time | [['it', 'has', 'long', 'been', 'known', 'that', 'there', 'is', 'a', 'relation', 'between', 'boundary', 'sinegordon', 'theory', 'and', 'thermodynamics', 'of', 'charge', 'neutral', 'twocomponent', 'coulomb', 'plasma', 'on', 'a', 'unit', 'circle', 'on', 'the', 'other', 'hand', 'recently', 'it', 'was', 'found', 'that', 'open', 'string', 'worldsheet', 'description', 'of', 'brane', 'decay', 'can', 'be', 'related', 'to', 'a', 'sequence', 'of', 'points', 'of', 'thermodynamic', 'equilibrium', 'of', 'onecomponent', 'plasma', 'here', 'we', 'consider', 'a', 'different', 'decay', 'process', 'which', 'is', 'specifically', 'described', 'by', 'the', 'timelike', 'boundary', 'sinegordon', 'theory', 'we', 'find', 'time', 'evolution', 'to', 'be', 'mapped', 'to', 'a', 'onedimensional', 'curve', 'in', 'the', 'space', 'of', 'points', 'of', 'thermal', 'equilibrium', 'of', 'a', 'nonneutral', 'twocomponent', 'coulomb', 'plasma', 'we', 'compute', 'the', 'free', 'energy', 'of', 'the', 'system', 'and', 'find', 'that', 'along', 'the', 'curve', 'it', 'is', 'monotonously', 'decreasing', 'defining', 'a', 'thermodynamic', 'arrow', 'of', 'time']] | [-0.14645674791698512, 0.18467579885828692, -0.1286502327831065, 0.08018783774362225, -0.03271134577111387, -0.18032642085578476, 0.026899483405076516, 0.34888505037171674, -0.26690377855719233, -0.22293229417142565, 0.06397891445009068, -0.2863010596102256, -0.09870309239161797, 0.1499016159595769, 0.0026134570839158335, 0.050329315358749974, 0.018020161141290285, 0.06209853187501125, -0.07159513099401517, -0.21470814002830474, 0.3328007614224783, 0.014991646220327401, 0.2493798922037431, 0.08646613097230553, 0.08404813398087978, -0.01847482755010042, 0.030733172812300626, 0.0628520430170179, -0.15872288896654757, 0.051994713905007865, 0.17687685149492788, 0.06561362316648735, 0.18861025605793494, -0.4333359108871368, -0.26870393201892007, 0.10939785824481733, 0.1770287461609381, 0.10012988758666563, -0.02037417997995422, -0.21515416315772007, 0.020932060240798432, -0.16173103601828248, -0.186368200114974, -0.031932027857811726, 0.07262162542443906, 0.016453708035367557, -0.20653645918307612, 0.08431937036268627, 0.03291701018565991, 0.02400361482706684, -0.1098929322677756, -0.021365317400567782, -0.08000705357579911, 0.08205866795720258, 0.07438919998273123, 0.09865705684193822, 0.14957163427941134, -0.11341707295448077, -0.07931801677990674, 0.38224682503486757, -0.07791250563783907, -0.1940057036483536, 0.17197960414007674, -0.15770691474059934, -0.11535022352806858, 0.13412610875045666, 0.08633907395796697, 0.10592970451279009, -0.1826110476910396, 0.14085663626736009, -0.08770926543091592, 0.15628090948815893, 0.09405802386492247, -0.009851146040896534, 0.26963048645478416, 0.16504278062980193, 0.03477256016836303, 0.1795767755309677, -0.0434101073431103, -0.18537520753891498, -0.3218094870051155, -0.17768420465290546, -0.15988692891646605, 0.10031136378004658, -0.07044979497445862, -0.23565110765763972, 0.3751533615090846, 0.10991600273009085, 0.19970221119764886, -0.011293524104269741, 0.22544531618840383, 0.1822347506636479, 0.0230157730803199, 0.07079311763508947, 0.21482411132205553, 0.12505113788246802, 0.09795444936025888, -0.2704931540590268, -0.029658543426909895, 0.12282116779462114] |
709.1319 | A Thermodynamic Interpretation of Time for Superstring Rolling Tachyons | Rolling tachyon backgrounds, arising from open strings on unstable branes in
bosonic string theory, can be related to a simple statistical mechanical model
- Coulomb gas of point charges in two dimensions confined to a circle, the
Dyson gas. In this letter we describe a statistical system that is dual to
non-BPS branes in superstring theory. We argue that even though the concept of
time is absent in the statistical dual sitting at equilibrium, the notion of
time can emerge at the large number of particles $N \to \infty$ limit.
| hep-th | rolling tachyon backgrounds arising from open strings on unstable branes in bosonic string theory can be related to a simple statistical mechanical model coulomb gas of point charges in two dimensions confined to a circle the dyson gas in this letter we describe a statistical system that is dual to nonbps branes in superstring theory we argue that even though the concept of time is absent in the statistical dual sitting at equilibrium the notion of time can emerge at the large number of particles n to infty limit | [['rolling', 'tachyon', 'backgrounds', 'arising', 'from', 'open', 'strings', 'on', 'unstable', 'branes', 'in', 'bosonic', 'string', 'theory', 'can', 'be', 'related', 'to', 'a', 'simple', 'statistical', 'mechanical', 'model', 'coulomb', 'gas', 'of', 'point', 'charges', 'in', 'two', 'dimensions', 'confined', 'to', 'a', 'circle', 'the', 'dyson', 'gas', 'in', 'this', 'letter', 'we', 'describe', 'a', 'statistical', 'system', 'that', 'is', 'dual', 'to', 'nonbps', 'branes', 'in', 'superstring', 'theory', 'we', 'argue', 'that', 'even', 'though', 'the', 'concept', 'of', 'time', 'is', 'absent', 'in', 'the', 'statistical', 'dual', 'sitting', 'at', 'equilibrium', 'the', 'notion', 'of', 'time', 'can', 'emerge', 'at', 'the', 'large', 'number', 'of', 'particles', 'n', 'to', 'infty', 'limit']] | [-0.14970806049669602, 0.22143940872439508, -0.10729779418704383, 0.11244946375640967, -0.005808798355584064, -0.18047474600437485, 0.04248820481497501, 0.2846880778670311, -0.2432046935611059, -0.22988659050315619, 0.03946763875480909, -0.30085581499204206, -0.12051273658714687, 0.10829453138121811, -0.10048140923942575, 0.004602122863524415, -0.0034741002718363416, 0.05967490805909456, -0.05688851503289064, -0.2502188886609975, 0.30976013926621737, 0.01638665379893579, 0.2717344052671047, 0.044096754759215234, 0.08473374702434024, -0.03481848987101922, 0.03729807589630847, 0.061034204412167996, -0.10939953275881001, 0.0719687383899235, 0.249396037069683, 0.05819510268518346, 0.17510678264185894, -0.48536231423194487, -0.18638907552937442, 0.11379108547620224, 0.21064125621963417, 0.16979789103935944, 0.0055233695033513885, -0.2237103075270405, 0.06493305360500733, -0.1412831943670518, -0.21491265407857602, -0.04639147019427102, 0.03454634159008104, -0.06737997690529636, -0.19450121162344147, 0.0882386282319203, 0.04712208043365331, 0.02229012141862277, -0.061040062206179906, -0.031058153779810985, -0.013316985797869522, 0.06903150340599751, 0.10593897993597882, 0.06585368460693052, 0.18910156397588468, -0.17034292326824155, -0.11664136586804989, 0.3690381730864808, -0.07305980698477603, -0.23483384286022085, 0.2079532639426964, -0.15529129265943606, -0.17945988253386838, 0.12142175868980251, 0.14258766748283183, 0.12607335985449844, -0.13935207959599374, 0.19273823315769517, -0.05590128086591035, 0.13637901962443066, 0.11598074987394673, 0.04289644749395633, 0.32271711051129226, 0.1349793122335745, 0.026500598810027153, 0.17828656889869715, -0.05722339089509895, -0.18775457650255623, -0.36487954583939874, -0.11713543733100543, -0.15859330126105317, 0.13421422486674836, -0.104817838585946, -0.20762235600124584, 0.31247305440594797, 0.12105495037427277, 0.17606178135611117, 0.03219217559050643, 0.2046415676373277, 0.08641393681506762, 0.007142948290186651, 0.05713086478082526, 0.22508516387616315, 0.10001039049807894, 0.08869022716966908, -0.23317066594576358, -0.1319919251679872, 0.16364490863438066] |
709.132 | CANGAROO-III Search for Gamma Rays from SN 1987A and the Surrounding
Field | Optical images of SN 1987A show a triple ring structure. The inner (dust)
ring has recently increased in brightness and in the number of hot spots
suggesting that the supernova shock wave has collided with the dense
pre-existing circumstellar medium, a scenario supported by radio and X-ray
observations. Such a shocked environment is widely expected to result in the
acceleration of charged particles, and the accompanying emission of very high
energy gamma-rays. Here, we report the results of observations made in 2004 and
2006 which yield upper limits on the TeV gamma-ray flux, which are compared
with a theoretical prediction. In addition, we set upper limits on the TeV flux
for four high energy objects which are located within the same field of view of
the observation: the super-bubble 30 Dor C, the Crab-like pulsar PSR
B0540$-$69, the X-ray binary LMC X-1, and the supernova remnant N157B.
| astro-ph | optical images of sn 1987a show a triple ring structure the inner dust ring has recently increased in brightness and in the number of hot spots suggesting that the supernova shock wave has collided with the dense preexisting circumstellar medium a scenario supported by radio and xray observations such a shocked environment is widely expected to result in the acceleration of charged particles and the accompanying emission of very high energy gammarays here we report the results of observations made in 2004 and 2006 which yield upper limits on the tev gammaray flux which are compared with a theoretical prediction in addition we set upper limits on the tev flux for four high energy objects which are located within the same field of view of the observation the superbubble 30 dor c the crablike pulsar psr b054069 the xray binary lmc x1 and the supernova remnant n157b | [['optical', 'images', 'of', 'sn', '1987a', 'show', 'a', 'triple', 'ring', 'structure', 'the', 'inner', 'dust', 'ring', 'has', 'recently', 'increased', 'in', 'brightness', 'and', 'in', 'the', 'number', 'of', 'hot', 'spots', 'suggesting', 'that', 'the', 'supernova', 'shock', 'wave', 'has', 'collided', 'with', 'the', 'dense', 'preexisting', 'circumstellar', 'medium', 'a', 'scenario', 'supported', 'by', 'radio', 'and', 'xray', 'observations', 'such', 'a', 'shocked', 'environment', 'is', 'widely', 'expected', 'to', 'result', 'in', 'the', 'acceleration', 'of', 'charged', 'particles', 'and', 'the', 'accompanying', 'emission', 'of', 'very', 'high', 'energy', 'gammarays', 'here', 'we', 'report', 'the', 'results', 'of', 'observations', 'made', 'in', '2004', 'and', '2006', 'which', 'yield', 'upper', 'limits', 'on', 'the', 'tev', 'gammaray', 'flux', 'which', 'are', 'compared', 'with', 'a', 'theoretical', 'prediction', 'in', 'addition', 'we', 'set', 'upper', 'limits', 'on', 'the', 'tev', 'flux', 'for', 'four', 'high', 'energy', 'objects', 'which', 'are', 'located', 'within', 'the', 'same', 'field', 'of', 'view', 'of', 'the', 'observation', 'the', 'superbubble', '30', 'dor', 'c', 'the', 'crablike', 'pulsar', 'psr', 'b054069', 'the', 'xray', 'binary', 'lmc', 'x1', 'and', 'the', 'supernova', 'remnant', 'n157b']] | [-0.1064965017979369, 0.11608864685685254, -0.050067768921619474, 0.08031751284198392, -0.0915839045742514, -0.05832054039311348, 0.05918939381863187, 0.4298564086281726, -0.19006402941727948, -0.3427077984551386, 0.07285868087672584, -0.29178546475195866, -0.0008290425437141438, 0.2145959353106109, 0.0047601371937032256, -0.03423690306162145, 0.13138278975463505, -0.038537455038452635, -0.019821044740260762, -0.21649536743613995, 0.25128768461987655, 0.136878418666469, 0.17623225900464926, 0.03511048410543982, 0.08032061228905582, -0.10330553970546746, -0.03395181077019292, -0.044397991582225425, -0.0938208014744379, 0.07600405129927154, 0.18869477884505786, 0.11322874976179506, 0.12755223057790324, -0.4142896858278383, -0.25148438132640455, 0.06213245657747801, 0.15740840354313454, -0.02476623978982141, -0.06617819760659975, -0.3030370068554228, 0.061441197978700096, -0.24387582337648486, -0.1820195060172657, 0.12901736713857168, 0.057239466392732904, 0.06355467927483778, -0.21190874025639034, 0.07859775195607827, 0.004005598112605005, 0.05138219255505789, -0.12725870106939455, -0.08208834363835021, -0.005714542406680835, -0.009204472186278272, 0.06786131609522668, 0.07639435539022088, 0.14812842713111415, -0.14354595651875446, -0.07519668235671612, 0.39482837935060666, -0.06297624174847591, 0.013045971652454868, 0.2446295951404387, -0.2430094725794482, -0.18294396429468376, 0.22653233080304094, 0.14126988732712153, 0.07176763154439578, -0.14151516501343536, 0.056519077106800285, -0.0827629914814939, 0.17299265391034943, 0.06093276422122354, 0.08134860150822118, 0.30997036443072923, 0.14613436949225522, -0.013995179773045412, 0.14607950825747862, -0.27818432747430744, -0.007808490276184617, -0.2536220282995693, -0.08924012792931844, -0.16530694483722352, 0.09682206189302256, -0.13424708176874256, -0.1130432853234463, 0.3446754096962866, 0.07381202233638488, 0.20255003874601962, -0.043127150937667766, 0.29197886064141787, 0.0787367663548374, 0.03926354417732606, 0.1807820595084962, 0.3539079757736755, 0.16610906912539739, 0.1350101827181318, -0.1981269002220511, 0.058352294556961275, 0.008897249979682926] |
709.1321 | WKB approximation in deformed space with minimal length and minimal
momentum | A Bohr-Sommerfeld quantization rule is generalized for the case of the
deformed commutation relation leading to minimal uncertainties in both
coordinate and momentum operators. The correctness of the rule is verified by
comparing obtained results with exact expressions for corresponding spectra.
| quant-ph | a bohrsommerfeld quantization rule is generalized for the case of the deformed commutation relation leading to minimal uncertainties in both coordinate and momentum operators the correctness of the rule is verified by comparing obtained results with exact expressions for corresponding spectra | [['a', 'bohrsommerfeld', 'quantization', 'rule', 'is', 'generalized', 'for', 'the', 'case', 'of', 'the', 'deformed', 'commutation', 'relation', 'leading', 'to', 'minimal', 'uncertainties', 'in', 'both', 'coordinate', 'and', 'momentum', 'operators', 'the', 'correctness', 'of', 'the', 'rule', 'is', 'verified', 'by', 'comparing', 'obtained', 'results', 'with', 'exact', 'expressions', 'for', 'corresponding', 'spectra']] | [-0.12356851754210345, 0.06780126525895534, -0.08520400408291962, 0.12768733231691506, -0.0826365856351558, -0.12947929356383478, 0.08284762787360062, 0.32270561530050346, -0.21603586738247696, -0.2556285869000798, 0.06300595603463036, -0.2703811964020133, -0.09312404828464113, 0.2054086281895274, -0.05136677025385746, 0.08654877453724422, 0.09668775115207565, 0.06685062111696093, -0.1691429742907242, -0.18293090671210027, 0.3390156314140413, 0.11417122738061064, 0.31424142611099454, 0.011521632465102323, 0.11828047856007044, 0.05402886215597391, -0.06271452747467088, 0.019167458899773476, -0.10507578795730341, 0.10211266313747662, 0.2025266159780142, 0.08229287495700324, 0.12805570843743114, -0.37626874119770237, -0.10437343421778301, 0.05554029641945551, 0.14884258406918224, 0.10258564171267719, 0.008071865477576488, -0.2721067728508809, 0.09553381764307255, -0.2025434300530611, -0.19052092582214533, -0.13562782083797018, 0.024021984702657637, 0.02963280069028459, -0.28725065736145505, 0.10893520461849687, 0.07523269099524109, 0.04389216369245111, -0.13757110121319208, -0.10751505470948249, -0.06058579308503285, 0.09192954479694003, 0.028102900730673133, -0.03382096632679061, 0.06720009039542298, -0.10293572058719469, -0.13491969532901193, 0.41442697492950575, -0.006929258475216423, -0.31504853949001876, 0.028092614738497793, -0.12927490251320528, -0.09885201868941872, 0.08716228963216631, 0.010371018723561996, 0.12540350188699936, -0.18343253763074555, 0.11456223319869534, -0.023916124763739544, 0.05170623460648263, 0.09085379295596262, 0.022668240228440703, 0.15961980081458643, 0.047527468627000725, -0.030493892138687577, 0.1452608680318496, -0.038760835532008146, -0.1990831847098179, -0.3741010138537826, -0.13450369042083166, -0.15665105890437234, 0.03652660198873136, -0.12320637349685279, -0.08633729517914174, 0.3563951620514073, 0.07297849029348027, 0.21937940207951726, 0.15613960474729538, 0.273493260962934, 0.2481293001144034, 0.09318294069479878, 0.024201895928055776, 0.26552997049080523, 0.21108403538989767, 0.04174174014024618, -0.26775504783840803, -0.0012032905843381474, 0.15669211016104714] |
709.1322 | Scaling properties at the interface between different critical
subsystems: The Ashkin-Teller model | We consider two critical semi-infinite subsystems with different critical
exponents and couple them through their surfaces. The critical behavior at the
interface, influenced by the critical fluctuations of the two subsystems, can
be quite rich. In order to examine the various possibilities, we study a system
composed of two coupled Ashkin-Teller models with different four-spin couplings
epsilon, on the two sides of the junction. By varying epsilon, some bulk and
surface critical exponents of the two subsystems are continuously modified,
which in turn changes the interface critical behavior. In particular we study
the marginal situation, for which magnetic critical exponents at the interface
vary continuously with the strength of the interaction parameter. The behavior
expected from scaling arguments is checked by DMRG calculations.
| cond-mat.stat-mech | we consider two critical semiinfinite subsystems with different critical exponents and couple them through their surfaces the critical behavior at the interface influenced by the critical fluctuations of the two subsystems can be quite rich in order to examine the various possibilities we study a system composed of two coupled ashkinteller models with different fourspin couplings epsilon on the two sides of the junction by varying epsilon some bulk and surface critical exponents of the two subsystems are continuously modified which in turn changes the interface critical behavior in particular we study the marginal situation for which magnetic critical exponents at the interface vary continuously with the strength of the interaction parameter the behavior expected from scaling arguments is checked by dmrg calculations | [['we', 'consider', 'two', 'critical', 'semiinfinite', 'subsystems', 'with', 'different', 'critical', 'exponents', 'and', 'couple', 'them', 'through', 'their', 'surfaces', 'the', 'critical', 'behavior', 'at', 'the', 'interface', 'influenced', 'by', 'the', 'critical', 'fluctuations', 'of', 'the', 'two', 'subsystems', 'can', 'be', 'quite', 'rich', 'in', 'order', 'to', 'examine', 'the', 'various', 'possibilities', 'we', 'study', 'a', 'system', 'composed', 'of', 'two', 'coupled', 'ashkinteller', 'models', 'with', 'different', 'fourspin', 'couplings', 'epsilon', 'on', 'the', 'two', 'sides', 'of', 'the', 'junction', 'by', 'varying', 'epsilon', 'some', 'bulk', 'and', 'surface', 'critical', 'exponents', 'of', 'the', 'two', 'subsystems', 'are', 'continuously', 'modified', 'which', 'in', 'turn', 'changes', 'the', 'interface', 'critical', 'behavior', 'in', 'particular', 'we', 'study', 'the', 'marginal', 'situation', 'for', 'which', 'magnetic', 'critical', 'exponents', 'at', 'the', 'interface', 'vary', 'continuously', 'with', 'the', 'strength', 'of', 'the', 'interaction', 'parameter', 'the', 'behavior', 'expected', 'from', 'scaling', 'arguments', 'is', 'checked', 'by', 'dmrg', 'calculations']] | [-0.2142133710421319, 0.2090340879730638, -0.057365032980536544, 0.03892193660158967, 0.011706572328883459, -0.21019438347907934, 0.04111808218342078, 0.3204895186841836, -0.274717389310642, -0.2996560646811636, 0.07883048724909351, -0.3201531421003212, -0.1496726323649802, 0.18506540255215279, 0.07405047117906614, 0.0594229343748553, -0.04029015862057364, 0.02118017512933934, -0.10331296485685933, -0.2087556879410929, 0.39735718695749717, -0.019292943028172825, 0.2871811253934856, 0.06321343896168519, 0.010412007975354185, -0.008509569632919217, 0.07334636784029927, 0.06511931170944155, -0.2044941552467947, 0.06232632758296748, 0.21478022911436917, -0.03809171497094922, 0.21949883325525174, -0.42962992488126445, -0.1817347035796298, 0.05902564359783399, 0.1587973148259145, 0.06283502213134454, 0.024250798505670353, -0.2754414089750953, 0.03788264181059823, -0.14294550570894063, -0.14953700612049278, -0.03195558702648898, -0.014963392661392265, 0.05153651692553393, -0.2242674263481929, 0.044013878977971106, 0.01027325808630908, 0.08522118202629982, -0.057951329284957116, -0.08680658000265816, -0.0380926901783143, 0.17910742178953032, 0.08464732174894099, -0.002438197345889317, 0.17884124001124646, -0.14911496363262214, -0.06871637639900048, 0.30757054814508533, -0.04750626606817501, -0.19287058399096738, 0.25273566222106053, -0.17851288933534085, -0.10534954068773403, 0.10517882379017983, 0.14551280811429024, 0.06949767125088994, -0.14201561941545668, 0.09138359369358003, 0.05615745627934613, 0.16996058715106085, 0.009825480536830316, -0.008636193039516607, 0.2357546073664737, 0.11869692401695482, 0.026519325894977505, 0.18160326852855022, -0.04183688152574828, -0.15734056428801724, -0.29030708273554723, -0.12925110190228475, -0.16622154600918293, -0.0062541340371760415, -0.17425269009218913, -0.15861653573281034, 0.41919551692842466, 0.1788761796603903, 0.2220216409219959, -0.00278751864249447, 0.2099375099897748, 0.14573417544531508, 0.03665818444574327, 0.05392918642042432, 0.26527946975155037, 0.08725660671177131, 0.0954999334625597, -0.2604902305893933, 0.0787328648914742, 0.06385404905834334] |
709.1323 | Reducing the magnetic susceptibility of parts in a magnetic gradiometer | In this paper we report a detailed investigation of a number of different
materials commonly used in precision instrumentation in the view of using them
as critical components in the magnetic gradiometer. The materials requirement
inside a magnetic gradiometer is stringent because the presence of magnetic
susceptible material will introduce intrinsic errors into the device. Many
commercial grade non-magnetic materials still have unacceptably high levels of
volume magnetic susceptibility between 0.001 and 0.0001. It is shown here that
machining with steel tools can further increase the susceptibility by up to an
order of magnitude. The ability of an acid wash to remove this contamination is
also reported. Washing in acid is shown to reduce the variation of volume
susceptibility in several commercial grade plastics which already have low
values of susceptibility.
| cond-mat.mtrl-sci | in this paper we report a detailed investigation of a number of different materials commonly used in precision instrumentation in the view of using them as critical components in the magnetic gradiometer the materials requirement inside a magnetic gradiometer is stringent because the presence of magnetic susceptible material will introduce intrinsic errors into the device many commercial grade nonmagnetic materials still have unacceptably high levels of volume magnetic susceptibility between 0001 and 00001 it is shown here that machining with steel tools can further increase the susceptibility by up to an order of magnitude the ability of an acid wash to remove this contamination is also reported washing in acid is shown to reduce the variation of volume susceptibility in several commercial grade plastics which already have low values of susceptibility | [['in', 'this', 'paper', 'we', 'report', 'a', 'detailed', 'investigation', 'of', 'a', 'number', 'of', 'different', 'materials', 'commonly', 'used', 'in', 'precision', 'instrumentation', 'in', 'the', 'view', 'of', 'using', 'them', 'as', 'critical', 'components', 'in', 'the', 'magnetic', 'gradiometer', 'the', 'materials', 'requirement', 'inside', 'a', 'magnetic', 'gradiometer', 'is', 'stringent', 'because', 'the', 'presence', 'of', 'magnetic', 'susceptible', 'material', 'will', 'introduce', 'intrinsic', 'errors', 'into', 'the', 'device', 'many', 'commercial', 'grade', 'nonmagnetic', 'materials', 'still', 'have', 'unacceptably', 'high', 'levels', 'of', 'volume', 'magnetic', 'susceptibility', 'between', '0001', 'and', '00001', 'it', 'is', 'shown', 'here', 'that', 'machining', 'with', 'steel', 'tools', 'can', 'further', 'increase', 'the', 'susceptibility', 'by', 'up', 'to', 'an', 'order', 'of', 'magnitude', 'the', 'ability', 'of', 'an', 'acid', 'wash', 'to', 'remove', 'this', 'contamination', 'is', 'also', 'reported', 'washing', 'in', 'acid', 'is', 'shown', 'to', 'reduce', 'the', 'variation', 'of', 'volume', 'susceptibility', 'in', 'several', 'commercial', 'grade', 'plastics', 'which', 'already', 'have', 'low', 'values', 'of', 'susceptibility']] | [-0.11334744564840528, 0.16304419588725055, -0.0106677012073715, -0.017436978753784117, -0.045434774477248085, -0.09817161211630202, 0.062935555859412, 0.3694174161735382, -0.23170919932481895, -0.3873456629945804, 0.10526275205361935, -0.30434848102634304, -0.11484697645970883, 0.21068581802955338, -0.07304778701860372, 0.04579725623308976, 0.0013617390503694539, 0.01067170903143537, -0.06822123172966664, -0.25090592404834583, 0.24437846102616714, 0.07739452498019424, 0.3269729513340836, 0.0945307949934695, 0.0634305326193429, -0.06516748939761678, 0.038176818806784696, 0.055615599898138, -0.09251260042097464, 0.08751777034850065, 0.2545157168895888, 0.013950571960506104, 0.26982750216115065, -0.44527285867406213, -0.19929355884482727, 0.08531259716211156, 0.10738698485527785, 0.10505815203042118, -0.06600907676451562, -0.2127351458717621, 0.1176644770378773, -0.16118115344163003, -0.12054338899284658, -0.11628338075349577, -0.006021577331685383, 0.014694706714562788, -0.23098195160077956, 0.061110641112158304, 0.02185103036321074, 0.12275772135551904, -0.0537158464692988, -0.14973887066065356, -0.012523830665687796, 0.11931626941610611, 0.09197792143361885, 0.0409336467515695, 0.17697388338252107, -0.1382203851399929, -0.05914311251738144, 0.3863622545911611, -0.030481068656481234, -0.1465975273816441, 0.17106371240704568, -0.16316365909261474, -0.12212014476278128, 0.17473965082388684, 0.1774668886942988, 0.0760291958554783, -0.18202268241954442, 0.015255828723729098, 0.06045054578229444, 0.2280908675192507, 0.05888767714722381, 0.04769412327543584, 0.23304552559292954, 0.19556847978241115, 0.023078880657542777, 0.173930405695098, -0.12984311641642704, 0.03200686165444439, -0.22189555510537315, -0.20581879989308027, -0.1547882532245899, 0.06221797412176055, -0.06120391371062306, -0.1957108285931252, 0.3563225874588434, 0.20593454998043428, 0.1300741515996802, -0.06933207944024866, 0.3292501298213051, 0.06382399562387266, 0.12098781106894026, -0.010433297287957131, 0.27159827047930535, 0.14872504690598043, 0.12958430549314687, -0.20414176413732518, 0.11100965066820041, -0.028303512194343197] |
709.1324 | High-Energy Limit of Massless Dirac Fermions in Multilayer Graphene
using Magneto-Optical Transmission Spectroscopy | We have investigated the absorption spectrum of multilayer graphene in high
magnetic fields. The low energy part of the spectrum of electrons in graphene
is well described by the relativistic Dirac equation with a linear dispersion
relation. However, at higher energies (>500 meV) a deviation from the ideal
behavior of Dirac particles is observed. At an energy of 1.25 eV, the deviation
from linearity is 40 meV. This result is in good agreement with the theoretical
model, which includes trigonal warping of the Fermi surface and higher-order
band corrections. Polarization-resolved measurements show no observable
electron-hole asymmetry.
| cond-mat.mes-hall cond-mat.other | we have investigated the absorption spectrum of multilayer graphene in high magnetic fields the low energy part of the spectrum of electrons in graphene is well described by the relativistic dirac equation with a linear dispersion relation however at higher energies 500 mev a deviation from the ideal behavior of dirac particles is observed at an energy of 125 ev the deviation from linearity is 40 mev this result is in good agreement with the theoretical model which includes trigonal warping of the fermi surface and higherorder band corrections polarizationresolved measurements show no observable electronhole asymmetry | [['we', 'have', 'investigated', 'the', 'absorption', 'spectrum', 'of', 'multilayer', 'graphene', 'in', 'high', 'magnetic', 'fields', 'the', 'low', 'energy', 'part', 'of', 'the', 'spectrum', 'of', 'electrons', 'in', 'graphene', 'is', 'well', 'described', 'by', 'the', 'relativistic', 'dirac', 'equation', 'with', 'a', 'linear', 'dispersion', 'relation', 'however', 'at', 'higher', 'energies', '500', 'mev', 'a', 'deviation', 'from', 'the', 'ideal', 'behavior', 'of', 'dirac', 'particles', 'is', 'observed', 'at', 'an', 'energy', 'of', '125', 'ev', 'the', 'deviation', 'from', 'linearity', 'is', '40', 'mev', 'this', 'result', 'is', 'in', 'good', 'agreement', 'with', 'the', 'theoretical', 'model', 'which', 'includes', 'trigonal', 'warping', 'of', 'the', 'fermi', 'surface', 'and', 'higherorder', 'band', 'corrections', 'polarizationresolved', 'measurements', 'show', 'no', 'observable', 'electronhole', 'asymmetry']] | [-0.1329536438182307, 0.17588570552607052, -0.05463862537908426, 0.09988848455517048, -0.011315626393601027, -0.11682759842976036, 0.035086406836247384, 0.37814696847150725, -0.2534840079946055, -0.3728690145944711, -0.0577659218821888, -0.36903064309929806, -0.0593667837480704, 0.18394488958923225, 0.06042903324851068, 0.03229552750902561, 0.042328071746548325, -0.022770719864638522, -0.0869669248277205, -0.14027490643396354, 0.280938854732085, 0.12399633731790043, 0.29583852119685616, 0.11213754690349258, 0.06404391975956969, 0.0032456591822362193, 0.06334102390489231, 0.0048726555542089045, -0.11527424567611888, 0.06276240446338004, 0.22849376406520605, -0.12293475035888453, 0.1911270161557089, -0.36114740173798054, -0.20579046740507087, 0.015086071027326398, 0.07851838445640169, 0.1123462518650437, -0.07992476909809436, -0.24282777158077806, 0.06513580693475281, -0.15237755333509995, -0.1807559696074653, -0.0030563267258306346, -0.03370647132396698, -0.03046462465499644, -0.21871501994125234, 0.17079048177644532, 0.01362469926001116, 0.08857365431807314, -0.09446323355950881, -0.1415125410470258, -0.11235810370271793, 0.009904241567710415, 0.06770067811279053, 0.02181327573877449, 0.12928194103005808, -0.12407514572017438, -0.08947743544316229, 0.4547290792300676, -0.12767405335519774, -0.09456036088522524, 0.11627619015052915, -0.21893363862182014, -0.06542085920955287, 0.23128160505196624, 0.10731133206475836, 0.05430650231816495, -0.13299793199985288, 0.1336195585436902, -0.03506981847264493, 0.1594496153993532, 0.06887779390672222, 0.06517970428399167, 0.24235624599289926, 0.16935204680097135, 0.029880995893715106, 0.06790746327654536, -0.14161184131808113, -0.004688816309984152, -0.29397907787521643, -0.13654661522984193, -0.22503563181574768, 0.08380412163387518, -0.07964284239506014, -0.13666211970363898, 0.4299305070308037, 0.08372151629494813, 0.20687671487394255, 0.00938522320817962, 0.26452283265825827, 0.1917934044455857, 0.07091910382344697, 0.06388754215004155, 0.334432260938532, 0.1602293864149639, 0.12333445785043295, -0.2257433366467012, -0.016116124553567108, -0.037926163990050554] |
709.1325 | Dynamics of interacting particle systems: stochastic process and field
theory | We present an approach to the dynamics of interacting particle systems, which
allows to derive path integral formulas from purely stochastic considerations.
We show that the resulting field theory is a dual version of the standard
theory of Doi and Peliti. This clarify both the origin of the Cole-Hopf map
between the two approaches and the occurence of imaginary noises in effective
Langevin equations for reaction-diffusion systems. The advantage of our
approach is that it focuses directly on the density field. We show some
applications, in particular on the Zero Range Process, hydrodynamic limits and
large deviation functional.
| cond-mat.stat-mech | we present an approach to the dynamics of interacting particle systems which allows to derive path integral formulas from purely stochastic considerations we show that the resulting field theory is a dual version of the standard theory of doi and peliti this clarify both the origin of the colehopf map between the two approaches and the occurence of imaginary noises in effective langevin equations for reactiondiffusion systems the advantage of our approach is that it focuses directly on the density field we show some applications in particular on the zero range process hydrodynamic limits and large deviation functional | [['we', 'present', 'an', 'approach', 'to', 'the', 'dynamics', 'of', 'interacting', 'particle', 'systems', 'which', 'allows', 'to', 'derive', 'path', 'integral', 'formulas', 'from', 'purely', 'stochastic', 'considerations', 'we', 'show', 'that', 'the', 'resulting', 'field', 'theory', 'is', 'a', 'dual', 'version', 'of', 'the', 'standard', 'theory', 'of', 'doi', 'and', 'peliti', 'this', 'clarify', 'both', 'the', 'origin', 'of', 'the', 'colehopf', 'map', 'between', 'the', 'two', 'approaches', 'and', 'the', 'occurence', 'of', 'imaginary', 'noises', 'in', 'effective', 'langevin', 'equations', 'for', 'reactiondiffusion', 'systems', 'the', 'advantage', 'of', 'our', 'approach', 'is', 'that', 'it', 'focuses', 'directly', 'on', 'the', 'density', 'field', 'we', 'show', 'some', 'applications', 'in', 'particular', 'on', 'the', 'zero', 'range', 'process', 'hydrodynamic', 'limits', 'and', 'large', 'deviation', 'functional']] | [-0.1171400176256667, 0.061087324052522846, -0.1488848183380098, 0.0660617328814104, -0.06978331557570064, -0.07203553550002374, 0.015837387129550382, 0.3048567983573683, -0.2835953261166317, -0.268545600243521, 0.07306037624889263, -0.26476060604092744, -0.22034942202403077, 0.19958695084003883, -0.0361388231078531, 0.029564309095469664, 0.04361776912546888, 0.025641121816042126, -0.06817772682775192, -0.19628869334463867, 0.3306860741018793, 0.010650964297012103, 0.27633828238337016, 0.05382973482423671, 0.1481477173938587, 0.03662040459980466, -0.013738926153211874, 0.017586586745075728, -0.16102187994618697, 0.1393772876935498, 0.1837547695482796, 0.08661332487945958, 0.25483725271282753, -0.4406858760179306, -0.2284753201244285, 0.08538316049594052, 0.11331678634213654, 0.15074879079653256, -0.022088613247080724, -0.27197643310515857, 0.05615050327603002, -0.1481446195821449, -0.14288431553322137, -0.0762947819822905, 0.012153941969273194, 0.04524673963778139, -0.25792309674149266, 0.07550716371012955, 0.07728114467570368, 0.04620305079092481, -0.07241164462947362, -0.10235288539635283, 0.040900855764689645, 0.09193891819509468, 0.05626039805184166, -0.01200437200806883, 0.13595235613364803, -0.14275476921644367, -0.11769164468123748, 0.372832185455731, -0.11265014114846685, -0.22724200105674716, 0.22358173185161181, -0.14579482820379186, -0.1294266431335816, 0.11316094365997278, 0.1533590453790919, 0.13105341891416025, -0.19148197021259336, 0.14430948535790572, -0.007345609990547278, 0.13442519217627408, -0.01610162129331076, 0.008709655837060846, 0.16432204312974247, 0.14082104975965862, 0.053164224396934925, 0.1345470606168846, -0.06260395104692755, -0.18062128171761882, -0.34263850280977026, -0.16557782283052802, -0.17248481706174432, 0.04823671567149232, -0.09896441871179766, -0.16450151719143424, 0.35694414142481223, 0.22990447357154395, 0.1637026749323217, 0.08350608684003771, 0.26934014760166863, 0.19160987023972165, 0.016623833482818946, 0.03461965034259673, 0.21172987460307255, 0.18326547617396835, 0.11526201610282368, -0.2518621773948437, -0.020551370264373113, 0.09924586059535112] |
709.1326 | Weak antilocalization in high mobility Ga(x)In(1-x)As/InP
two-dimensional electron gases with strong spin-orbit coupling | We have studied the spin-orbit interaction in a high mobility two-dimensional
electron gas in a GaInAs/InP heterostructure as a function of an applied gate
voltage as well as a function of temperature. Highly sensitive magnetotransport
measurements of weak antilocalization as well as measurements of Shubnikov--de
Haas oscillations were performed in a wide range of electron sheet
concentrations. In our samples the electron transport takes place in the strong
spin precession regime in the whole range of applied gate voltages, which is
characterized by the spin precession length being shorter than the elastic mean
free path. The magnitude of the Rashba spin-orbit coupling parameter was
determined by fitting the experimental curves by a simulated quantum
conductance correction according to a model proposed recently by Golub [Phys.
Rev. B 71, 235310 (2005)]. A comparison of the Rashba coupling parameter
extracted using this model with the values estimated from the analysis of the
beating pattern in the Shubnikov--de Haas oscillations showed a good agreement.
| cond-mat.mes-hall | we have studied the spinorbit interaction in a high mobility twodimensional electron gas in a gainasinp heterostructure as a function of an applied gate voltage as well as a function of temperature highly sensitive magnetotransport measurements of weak antilocalization as well as measurements of shubnikovde haas oscillations were performed in a wide range of electron sheet concentrations in our samples the electron transport takes place in the strong spin precession regime in the whole range of applied gate voltages which is characterized by the spin precession length being shorter than the elastic mean free path the magnitude of the rashba spinorbit coupling parameter was determined by fitting the experimental curves by a simulated quantum conductance correction according to a model proposed recently by golub phys rev b 71 235310 2005 a comparison of the rashba coupling parameter extracted using this model with the values estimated from the analysis of the beating pattern in the shubnikovde haas oscillations showed a good agreement | [['we', 'have', 'studied', 'the', 'spinorbit', 'interaction', 'in', 'a', 'high', 'mobility', 'twodimensional', 'electron', 'gas', 'in', 'a', 'gainasinp', 'heterostructure', 'as', 'a', 'function', 'of', 'an', 'applied', 'gate', 'voltage', 'as', 'well', 'as', 'a', 'function', 'of', 'temperature', 'highly', 'sensitive', 'magnetotransport', 'measurements', 'of', 'weak', 'antilocalization', 'as', 'well', 'as', 'measurements', 'of', 'shubnikovde', 'haas', 'oscillations', 'were', 'performed', 'in', 'a', 'wide', 'range', 'of', 'electron', 'sheet', 'concentrations', 'in', 'our', 'samples', 'the', 'electron', 'transport', 'takes', 'place', 'in', 'the', 'strong', 'spin', 'precession', 'regime', 'in', 'the', 'whole', 'range', 'of', 'applied', 'gate', 'voltages', 'which', 'is', 'characterized', 'by', 'the', 'spin', 'precession', 'length', 'being', 'shorter', 'than', 'the', 'elastic', 'mean', 'free', 'path', 'the', 'magnitude', 'of', 'the', 'rashba', 'spinorbit', 'coupling', 'parameter', 'was', 'determined', 'by', 'fitting', 'the', 'experimental', 'curves', 'by', 'a', 'simulated', 'quantum', 'conductance', 'correction', 'according', 'to', 'a', 'model', 'proposed', 'recently', 'by', 'golub', 'phys', 'rev', 'b', '71', '235310', '2005', 'a', 'comparison', 'of', 'the', 'rashba', 'coupling', 'parameter', 'extracted', 'using', 'this', 'model', 'with', 'the', 'values', 'estimated', 'from', 'the', 'analysis', 'of', 'the', 'beating', 'pattern', 'in', 'the', 'shubnikovde', 'haas', 'oscillations', 'showed', 'a', 'good', 'agreement']] | [-0.1817583429847504, 0.17380212220802987, -0.036106422591849034, 0.015691659609500155, 0.005175369993765962, -0.15077468487814819, 0.07353745247881696, 0.3259014959458801, -0.21521806490824283, -0.36342406041521885, -0.023657190349134587, -0.27476271870985347, -0.11254442828771828, 0.28929197390815653, 0.0006304480686034047, 0.06670849468661896, 0.013748168585083957, -0.060589199531354804, -0.08763979922441191, -0.1961237889986907, 0.20694429774581213, 0.0759494521841114, 0.31492582622493775, 0.057142763845944695, 0.07147503149865558, 0.049746597834801266, 0.07448937441917933, 0.07782988955003009, -0.16005992896012147, -0.03251729070929424, 0.2240962111057989, -0.11957313466535986, 0.20354675484012882, -0.39178606412672207, -0.23912224206932872, -0.03197255964631086, 0.12031432564821352, 0.14884753264603937, -0.05519060026737129, -0.3294679265492742, 0.006879024668128095, -0.18342215866553332, -0.07653974250849313, -0.0675012538935872, 0.04533835539430286, 0.009833696968970622, -0.2783682976304641, 0.16194995862040845, 0.005735030955687727, 0.11693765776548183, -0.07342275345123976, -0.10005448975617874, -0.0393457859037034, 0.06661039051096798, 0.05022417213006308, 0.08070094750699171, 0.17731281750068162, -0.07954280134641899, -0.12532364421248812, 0.33761198075382776, -0.13520669103528699, -0.11452083453904316, 0.13537913248083502, -0.21120393316044747, -0.01870582959140247, 0.1376560001206473, 0.12841025478669307, 0.10089528889530017, -0.1539908775345147, 0.10413140107719403, -0.05562947877556812, 0.16343791322832424, 0.08443601776219015, 0.018277882422207424, 0.23443899570025084, 0.17605429607789097, 0.007115441640991272, 0.09758030313635303, -0.1725823832090077, -0.019930455426585936, -0.2291282379191439, -0.10740820662874095, -0.2363264231456432, 0.10412357804005228, -0.0546784386860277, -0.18547433401522395, 0.4535317267291248, 0.14270384020447355, 0.26431250382425653, -0.025465122821635374, 0.2769898169632978, 0.135354109150914, 0.09430033221596314, 0.006923078576819649, 0.2857628596314001, 0.2123160677714531, 0.1214592383014706, -0.2976937533529042, 0.08818313787228563, -0.0038688845885624674] |
709.1327 | The Steady State Fluctuation Relation for the Dissipation Function | We give a proof of transient fluctuation relations for the entropy production
(dissipation function) in nonequilibrium systems, which is valid for most time
reversible dynamics. We then consider the conditions under which a transient
fluctuation relation yields a steady state fluctuation relation for driven
nonequilibrium systems whose transients relax, producing a unique
nonequilibrium steady state. Although the necessary and sufficient conditions
for the production of a unique nonequilibrium steady state are unknown, if such
a steady state exists, the generation of the steady state fluctuation relation
from the transient relation is shown to be very general. It is essentially a
consequence of time reversibility and of a form of decay of correlations in the
dissipation, which is needed also for, e.g., the existence of transport
coefficients. Because of this generality the resulting steady state fluctuation
relation has the same degree of robustness as do equilibrium thermodynamic
equalities. The steady state fluctuation relation for the dissipation stands in
contrast with the one for the phase space compression factor, whose convergence
is problematic, for systems close to equilibrium. We examine some model
dynamics that have been considered previously, and show how they are described
in the context of this work.
| cond-mat.stat-mech | we give a proof of transient fluctuation relations for the entropy production dissipation function in nonequilibrium systems which is valid for most time reversible dynamics we then consider the conditions under which a transient fluctuation relation yields a steady state fluctuation relation for driven nonequilibrium systems whose transients relax producing a unique nonequilibrium steady state although the necessary and sufficient conditions for the production of a unique nonequilibrium steady state are unknown if such a steady state exists the generation of the steady state fluctuation relation from the transient relation is shown to be very general it is essentially a consequence of time reversibility and of a form of decay of correlations in the dissipation which is needed also for eg the existence of transport coefficients because of this generality the resulting steady state fluctuation relation has the same degree of robustness as do equilibrium thermodynamic equalities the steady state fluctuation relation for the dissipation stands in contrast with the one for the phase space compression factor whose convergence is problematic for systems close to equilibrium we examine some model dynamics that have been considered previously and show how they are described in the context of this work | [['we', 'give', 'a', 'proof', 'of', 'transient', 'fluctuation', 'relations', 'for', 'the', 'entropy', 'production', 'dissipation', 'function', 'in', 'nonequilibrium', 'systems', 'which', 'is', 'valid', 'for', 'most', 'time', 'reversible', 'dynamics', 'we', 'then', 'consider', 'the', 'conditions', 'under', 'which', 'a', 'transient', 'fluctuation', 'relation', 'yields', 'a', 'steady', 'state', 'fluctuation', 'relation', 'for', 'driven', 'nonequilibrium', 'systems', 'whose', 'transients', 'relax', 'producing', 'a', 'unique', 'nonequilibrium', 'steady', 'state', 'although', 'the', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 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709.1328 | On the efficiency of field star capture by star clusters | An exciting recent finding regarding scaling relations among globular
clusters is the so-called 'blue tilt': clusters of the blue sub-population
follow a trend of redder colour with increasing luminosity. In this paper we
evaluate to which extent field star capture over a Hubble time may explain the
'blue tilt'. We perform collisional N-body simulations to quantify the amount
of field star capture occuring over a Hubble time to star clusters with 10^3 to
10^6 stars. In the simulations we follow the orbits of field stars passing
through a star cluster and calculate the energy change that the field stars
experience due to gravitational interaction with cluster stars during one
passage through the cluster. The capture condition is that their total energy
after the passage is smaller than the gravitational potential at the cluster's
tidal radius. By folding this with the fly-by rates of field stars with an
assumed space density as in the solar neighbourhood and a range of velocity
dispersions, we derive estimates on the mass fraction of captured field stars
as a function of environment. We find that integrated over a Hubble time, the
ratio between captured field stars and total number of clusters stars is very
low (<~ 10^(-4)), even for the smallest considered field star velocity
dispersion sigma=15 km/s. This holds for star clusters in the mass range of
both open clusters and globular clusters. We furthermore show that tidal
friction has a negligible effect on the energy distribution of field stars
after interaction with the cluster. We conclude that field star capture is not
a probable mechanism for creating the colour-magnitude trend of metal-poor
globular clusters.
| astro-ph | an exciting recent finding regarding scaling relations among globular clusters is the socalled blue tilt clusters of the blue subpopulation follow a trend of redder colour with increasing luminosity in this paper we evaluate to which extent field star capture over a hubble time may explain the blue tilt we perform collisional nbody simulations to quantify the amount of field star capture occuring over a hubble time to star clusters with 103 to 106 stars in the simulations we follow the orbits of field stars passing through a star cluster and calculate the energy change that the field stars experience due to gravitational interaction with cluster stars during one passage through the cluster the capture condition is that their total energy after the passage is smaller than the gravitational potential at the clusters tidal radius by folding this with the flyby rates of field stars with an assumed space density as in the solar neighbourhood and a range of velocity dispersions we derive estimates on the mass fraction of captured field stars as a function of environment we find that integrated over a hubble time the ratio between captured field stars and total number of clusters stars is very low 104 even for the smallest considered field star velocity dispersion sigma15 kms this holds for star clusters in the mass range of both open clusters and globular clusters we furthermore show that tidal friction has a negligible effect on the energy distribution of field stars after interaction with the cluster we conclude that field star capture is not a probable mechanism for creating the colourmagnitude trend of metalpoor globular clusters | [['an', 'exciting', 'recent', 'finding', 'regarding', 'scaling', 'relations', 'among', 'globular', 'clusters', 'is', 'the', 'socalled', 'blue', 'tilt', 'clusters', 'of', 'the', 'blue', 'subpopulation', 'follow', 'a', 'trend', 'of', 'redder', 'colour', 'with', 'increasing', 'luminosity', 'in', 'this', 'paper', 'we', 'evaluate', 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709.1329 | Auger recombination and carrier multiplication in embedded silicon and
germanium nanocrystals | For Si and Ge nanocrystals (NCs) embedded in wide band-gap matrices, Auger
recombination (AR) and carrier multiplication (CM) lifetimes are computed
exactly in a three-dimensional real space grid using empirical pseudopotential
wave functions. Our results in support of recent experimental data offer new
predictions. We extract simple Auger constants valid for NCs. We show that both
Si and Ge NCs can benefit from photovoltaic efficiency improvement via CM due
to the fact that under an optical excitation exceeding twice the band gap
energy, the electrons gain lion's share from the total excess energy and can
cause a CM. We predict that CM becomes especially efficient for hot electrons
with an excess energy of about 1 eV above the CM threshold.
| cond-mat.mtrl-sci | for si and ge nanocrystals ncs embedded in wide bandgap matrices auger recombination ar and carrier multiplication cm lifetimes are computed exactly in a threedimensional real space grid using empirical pseudopotential wave functions our results in support of recent experimental data offer new predictions we extract simple auger constants valid for ncs we show that both si and ge ncs can benefit from photovoltaic efficiency improvement via cm due to the fact that under an optical excitation exceeding twice the band gap energy the electrons gain lions share from the total excess energy and can cause a cm we predict that cm becomes especially efficient for hot electrons with an excess energy of about 1 ev above the cm threshold | [['for', 'si', 'and', 'ge', 'nanocrystals', 'ncs', 'embedded', 'in', 'wide', 'bandgap', 'matrices', 'auger', 'recombination', 'ar', 'and', 'carrier', 'multiplication', 'cm', 'lifetimes', 'are', 'computed', 'exactly', 'in', 'a', 'threedimensional', 'real', 'space', 'grid', 'using', 'empirical', 'pseudopotential', 'wave', 'functions', 'our', 'results', 'in', 'support', 'of', 'recent', 'experimental', 'data', 'offer', 'new', 'predictions', 'we', 'extract', 'simple', 'auger', 'constants', 'valid', 'for', 'ncs', 'we', 'show', 'that', 'both', 'si', 'and', 'ge', 'ncs', 'can', 'benefit', 'from', 'photovoltaic', 'efficiency', 'improvement', 'via', 'cm', 'due', 'to', 'the', 'fact', 'that', 'under', 'an', 'optical', 'excitation', 'exceeding', 'twice', 'the', 'band', 'gap', 'energy', 'the', 'electrons', 'gain', 'lions', 'share', 'from', 'the', 'total', 'excess', 'energy', 'and', 'can', 'cause', 'a', 'cm', 'we', 'predict', 'that', 'cm', 'becomes', 'especially', 'efficient', 'for', 'hot', 'electrons', 'with', 'an', 'excess', 'energy', 'of', 'about', '1', 'ev', 'above', 'the', 'cm', 'threshold']] | [-0.05497854981804266, 0.12637277538039296, 0.028874526526002833, 0.06362852564391991, 0.020883914946656052, -0.12951295991272976, 0.06884106375218835, 0.4501131382305175, -0.24307169582073887, -0.3450719324600262, 0.015114727291317347, -0.32686213696324556, -0.07392457230016589, 0.23475578622552953, -0.003756980357381205, 0.012728135898942127, 0.05694137218912753, -0.08577141972879569, -0.08041913133929483, -0.19262147031646842, 0.24585657853167503, 0.11143297722640758, 0.27490495909781504, 0.14236609251771976, 0.0488050882248596, 0.005093389592366293, 0.05887963800147797, -0.012085504652592742, -0.11871039574319488, 0.14316515828638027, 0.2832460545255647, 0.043754637262706335, 0.19469704778748564, -0.46501098697384197, -0.24396723142902677, 0.07965214411572864, 0.1430911528528668, 0.07898873473362376, -0.11112309598053495, -0.21451390292980552, 0.11623983227085168, -0.16315990270813926, -0.12031877303209816, -0.014394127911267181, 0.03345747364219278, 0.016292410188664994, -0.28980271819455083, 0.0784245585440658, 0.004669021768495441, 0.04210666546229428, -0.11846146103926003, -0.19046951692337946, -0.02637645763073427, 0.05759699447856595, -0.006789158804652592, -0.017445100712939164, 0.18922982954924616, -0.05818633351009339, -0.09942419294772359, 0.3464079617134606, -0.0765542443919306, -0.07358969195435444, 0.1544794607674703, -0.1635727475474899, -0.03735666133967849, 0.25056737530976536, 0.1617453540985783, 0.059233653284415294, -0.08426877775928006, 0.11005455330984357, -0.015343764831656396, 0.22233255505755853, 0.08305052783107385, 0.08874549174603695, 0.18207321343167374, 0.14638855060717712, 0.06752593231697877, 0.04406891602363127, -0.13433179992619745, -0.01609345885614554, -0.2490582348778844, -0.1847566518447517, -0.22020526663012183, 0.11746159780826322, -0.10546268961625174, -0.10129307068418711, 0.3758383414358832, 0.1139656514239808, 0.18636278117386004, 0.0343445608469968, 0.2388524571588884, 0.13914458439394367, 0.08332322257338091, 0.08754303793733319, 0.27023256381507965, 0.11014860318003533, 0.11080728431309884, -0.2037488840171136, -0.007682726558414288, -0.04648673412545274] |
709.133 | Fine-tuning the functional properties of carbon nanotubes via the
interconversion of encapsulated molecules | Tweaking the properties of carbon nanotubes is a prerequisite for their
practical applications. Here we demonstrate fine-tuning the electronic
properties of single-wall carbon nanotubes via filling with ferrocene
molecules. The evolution of the bonding and charge transfer within the tube is
demonstrated via chemical reaction of the ferrocene filler ending up as
secondary inner tube. The charge transfer nature is interpreted well within
density functional theory. This work gives the first direct observation of a
fine-tuned continuous amphoteric doping of single-wall carbon nanotubes.
| cond-mat.mtrl-sci | tweaking the properties of carbon nanotubes is a prerequisite for their practical applications here we demonstrate finetuning the electronic properties of singlewall carbon nanotubes via filling with ferrocene molecules the evolution of the bonding and charge transfer within the tube is demonstrated via chemical reaction of the ferrocene filler ending up as secondary inner tube the charge transfer nature is interpreted well within density functional theory this work gives the first direct observation of a finetuned continuous amphoteric doping of singlewall carbon nanotubes | [['tweaking', 'the', 'properties', 'of', 'carbon', 'nanotubes', 'is', 'a', 'prerequisite', 'for', 'their', 'practical', 'applications', 'here', 'we', 'demonstrate', 'finetuning', 'the', 'electronic', 'properties', 'of', 'singlewall', 'carbon', 'nanotubes', 'via', 'filling', 'with', 'ferrocene', 'molecules', 'the', 'evolution', 'of', 'the', 'bonding', 'and', 'charge', 'transfer', 'within', 'the', 'tube', 'is', 'demonstrated', 'via', 'chemical', 'reaction', 'of', 'the', 'ferrocene', 'filler', 'ending', 'up', 'as', 'secondary', 'inner', 'tube', 'the', 'charge', 'transfer', 'nature', 'is', 'interpreted', 'well', 'within', 'density', 'functional', 'theory', 'this', 'work', 'gives', 'the', 'first', 'direct', 'observation', 'of', 'a', 'finetuned', 'continuous', 'amphoteric', 'doping', 'of', 'singlewall', 'carbon', 'nanotubes']] | [-0.11173037584332457, 0.15170325944200158, 0.00549335752197272, -0.029108652303623687, 0.038657371313816094, -0.10367244030966098, 0.10599389210405075, 0.4595003931233323, -0.255925445699593, -0.2857771580028965, -0.001585496112659394, -0.2584353373666485, -0.13208273274218102, 0.10262876605974083, 0.02682532076106732, 0.015266563384288764, 0.08773986945848868, -0.03613874852567552, -0.07835876293401851, -0.16727501286350818, 0.24824835600595113, 0.09873841641223934, 0.30874737679217773, 0.17956495030042546, 0.04783363751393844, -0.016737087764384515, 0.07465303354301905, -0.026223488903817642, -0.15327924681849867, 0.1601290383701583, 0.23070150107728787, -0.04367975933415568, 0.2077762407828571, -0.48909517922943613, -0.25686379187145686, -0.012835941154016069, 0.13384022500438908, 0.15441587957811642, -0.08511317621759441, -0.23370670208550362, 0.07758566697341311, -0.1775875151303249, -0.12858971276780568, -0.05018781618136598, 0.023763654394501663, 0.05673038847856673, -0.19537350712680673, 0.08497470409149327, 0.01576702827054738, 0.056441147884645736, -0.1234172298208283, -0.15423907236341972, -0.13031800250881856, 0.1286118258119011, 0.032690574915754236, -0.03612955133199232, 0.31137671135927003, -0.10533537381575499, -0.06768469528171671, 0.41497069443519935, -0.0729231330936393, -0.10820096318262169, 0.17729534812591385, -0.09112837883722351, -0.08003251049218767, 0.16991003556738057, 0.05481470314538982, 0.14668759365891476, -0.18686943997892674, 0.07064837307167093, 0.017765641283995687, 0.14674297170937958, 0.10158897618235774, 0.058962294153016376, 0.278582610358226, 0.29951185720456563, 0.017764013787978386, 0.14298441059079514, -0.09900996851992894, -0.03844717488882233, -0.23237324182886676, -0.25221307848717633, -0.19857226812606116, 0.1362858132784625, -0.03540323915732155, -0.21835468889000903, 0.382623812946749, 0.03495728719351163, 0.19135597594508744, -0.038864211381289614, 0.23440969928380956, 0.056864810870477865, 0.07954901804395738, -0.05805979653946068, 0.24173663034249682, 0.23409098153372845, 0.11497014027133763, -0.2788748731219535, 0.0695090768602817, 0.0074291728827569365] |
709.1331 | Mean time exit and isoperimetric inequalities \\for minimal submanifolds
of $N\times \mathbb{R}$ | Based on Markvorsen and Palmer's work on mean time exit and isoperimetric
inequalities we establish slightly better isoperimetric inequalities and mean
time exit estimates for minimal submanifolds of $N\times\mathbb{R}$. We also
prove isoperimetric inequalities for submanifolds of Hadamard spaces with tamed
second fundamental form.
| math.DG | based on markvorsen and palmers work on mean time exit and isoperimetric inequalities we establish slightly better isoperimetric inequalities and mean time exit estimates for minimal submanifolds of ntimesmathbbr we also prove isoperimetric inequalities for submanifolds of hadamard spaces with tamed second fundamental form | [['based', 'on', 'markvorsen', 'and', 'palmers', 'work', 'on', 'mean', 'time', 'exit', 'and', 'isoperimetric', 'inequalities', 'we', 'establish', 'slightly', 'better', 'isoperimetric', 'inequalities', 'and', 'mean', 'time', 'exit', 'estimates', 'for', 'minimal', 'submanifolds', 'of', 'ntimesmathbbr', 'we', 'also', 'prove', 'isoperimetric', 'inequalities', 'for', 'submanifolds', 'of', 'hadamard', 'spaces', 'with', 'tamed', 'second', 'fundamental', 'form']] | [-0.12221951304046913, 0.04847280623737809, -0.09890762883303471, 0.17567139695030312, -0.071737767695341, -0.2291165593318468, 0.036226001351551955, 0.34136655202222077, -0.24822658061071537, -0.2676198269392169, 0.18404596690954858, -0.2661288636195105, -0.1385433042291985, 0.21555209220495336, -0.19567354335341341, 0.12248018743513628, 0.05627096522881021, 0.051800435668853825, -0.1332847039908344, -0.29063630008766816, 0.39431331029465033, -0.08140370685087386, 0.17626678000399193, 0.15563400234583072, 0.08671477679596391, -0.003523848561006923, -0.015449735054443048, 0.021396632731329045, -0.3762124155236538, 0.2494216041076322, 0.1727125896140933, 0.09069109373985855, 0.29153544152545374, -0.41462716772112734, -0.13092488232393598, 0.2183772290212124, 0.15437489773991497, -0.038657192422380283, -0.04077796357532227, -0.37164877268464064, -0.023144365385781195, 0.05415950559599455, -0.20966294737056243, -0.0786339471896374, -0.02109155453048473, 0.06144053430220675, -0.2596510355035926, 0.19979893762095788, 0.06742280186695415, 0.06059637592921337, -0.12872860338105713, -0.11353353763995476, 0.047381561162859895, 0.02974567513609695, 0.036029884288477344, -0.010650568121914254, 0.09641554641948882, 0.04053754686529553, -0.14421381168933803, 0.2649930800462878, -0.08701862485776114, -0.2726119667464911, -0.0016710681591702754, -0.20752308985521628, -0.1760957855514662, 0.0254306964532927, 0.21007252510550412, 0.15989737697812015, -0.09859806123774412, 0.10878563524619135, -0.038706339375917304, 0.04200336034951169, 0.1849733588480672, 0.07173099163594808, -0.03978973305865386, 0.08538922745474549, 0.2786803531438805, 0.14027256013955489, -0.030285065939519986, -0.131643655410762, -0.38566491146420323, -0.29130026098167483, -0.177567541967471, 0.13902268732009931, -0.2406561589399813, -0.18478996406287648, 0.2983215185434579, -0.01752367817125348, 0.10356817060951577, 0.27043803685972856, 0.21306329982918362, 0.0461692244225983, -0.007422851810101853, 0.14237606928272303, 0.21465308519166915, 0.2535917453987654, 0.06577053122482328, -0.0662501871126953, 0.06288821649802633, 0.2368889008756987] |
709.1332 | High-energy scattering and Euclidean-Minkowskian duality | We shall discuss how some relevant analyticity and crossing-symmetry
properties of the "eikonal scattering amplitudes" of two Wilson loops in QCD,
when going from Euclidean to Minkowskian theory, can be related to the still
unsolved problem of the asymptotic s-dependence of the hadron-hadron total
cross-sections. In particular, we critically discuss the question if (and how)
a pomeron-like behaviour can be derived from this Euclidean-Minkowskian
duality.
| hep-ph | we shall discuss how some relevant analyticity and crossingsymmetry properties of the eikonal scattering amplitudes of two wilson loops in qcd when going from euclidean to minkowskian theory can be related to the still unsolved problem of the asymptotic sdependence of the hadronhadron total crosssections in particular we critically discuss the question if and how a pomeronlike behaviour can be derived from this euclideanminkowskian duality | [['we', 'shall', 'discuss', 'how', 'some', 'relevant', 'analyticity', 'and', 'crossingsymmetry', 'properties', 'of', 'the', 'eikonal', 'scattering', 'amplitudes', 'of', 'two', 'wilson', 'loops', 'in', 'qcd', 'when', 'going', 'from', 'euclidean', 'to', 'minkowskian', 'theory', 'can', 'be', 'related', 'to', 'the', 'still', 'unsolved', 'problem', 'of', 'the', 'asymptotic', 'sdependence', 'of', 'the', 'hadronhadron', 'total', 'crosssections', 'in', 'particular', 'we', 'critically', 'discuss', 'the', 'question', 'if', 'and', 'how', 'a', 'pomeronlike', 'behaviour', 'can', 'be', 'derived', 'from', 'this', 'euclideanminkowskian', 'duality']] | [-0.0895030062039575, 0.17498188986191673, -0.14200778163614727, 0.17749145961669643, -0.07426577507858238, -0.06620645370068294, 0.03033307415529317, 0.3618447986682729, -0.29173692169466187, -0.21281953958705777, 0.11255139487218999, -0.287687603295559, -0.1859679210280615, 0.1459671443121301, -0.06018945653664155, 0.07269146896543957, 0.036644684827132595, 0.061164651746078144, -0.09658653053292443, -0.2528456585511329, 0.3666337233642855, 0.0031872144013288476, 0.19639359685104518, 0.1793057947227406, 0.011986489732941938, 0.04884736602830272, -0.01114932352322198, 0.02623795491037151, -0.15756927681569424, 0.12562902692598216, 0.2685866740399173, 0.12475339233106564, 0.14407117429765917, -0.44809597233931225, -0.14192270685083394, 0.09111775942738094, 0.22394554760299681, 0.10209858222376733, 0.03312902069754071, -0.23203846714681103, 0.056366643690991966, -0.12013852708632984, -0.1937932868207258, -0.07566414401674318, -0.00532622564406622, -0.018568668300138105, -0.1813881750410748, 0.03890912984645674, 0.01169166781954349, -0.012529723538411043, -0.0430513596335899, -0.1012723520250311, 0.0043412766434134, 0.11009555059302199, 0.14883120567907418, 0.011969087785849023, 0.07044732795348244, -0.18867016493135857, -0.13180507958999702, 0.4234913359580946, -0.008690028717475278, -0.21596922944225963, 0.12492080960821893, -0.2120208533865119, -0.1553753189786914, 0.055474870858897844, 0.18529182642934813, 0.1307645310455608, -0.180483123321975, 0.16988827266530798, -0.049545435257078635, 0.08330856027111175, 0.13050203703876054, 0.05876396253468499, 0.18219522014907044, 0.10919763450141227, -0.04449223141585078, 0.14806284614661264, -0.04039095810777138, -0.0995821226683874, -0.3930756902647397, -0.08875756353021615, -0.09606363608812292, 0.12101947316633803, -0.10347784436187736, -0.13277690598948133, 0.325652230708372, 0.1978914069662255, 0.23203159729757952, 0.028476571634648336, 0.26474443293871386, 0.13854792308328406, -0.007300308772495815, 0.07052612537518144, 0.28443443894410314, 0.16965150797650927, 0.10003025731485751, -0.2643505020643629, -0.013402936721427573, 0.12596428657453212] |
709.1333 | R&D Status of ATF2 IP Beam Size Monitor (Shintake Monitor) | Shintake monitor is a nanometer-scale electron beam size monitor. It probes a
electron beam by an interference fringe pattern formed by split laser beams.
Minimum measurable beam size by this method is less than 1/10 of laser
wavelength. In ATF2, Shintake monitor will be used for the IP beam size monitor
to measure 37 nm (design) beam size. Development status of the Shintake
monitor, including fringe phase monitoring and stabilization, gamma detector
and collimators, is described. In addition, we discuss the beam size
measurement by Shintake monitor in ILC.
| physics.acc-ph | shintake monitor is a nanometerscale electron beam size monitor it probes a electron beam by an interference fringe pattern formed by split laser beams minimum measurable beam size by this method is less than 110 of laser wavelength in atf2 shintake monitor will be used for the ip beam size monitor to measure 37 nm design beam size development status of the shintake monitor including fringe phase monitoring and stabilization gamma detector and collimators is described in addition we discuss the beam size measurement by shintake monitor in ilc | [['shintake', 'monitor', 'is', 'a', 'nanometerscale', 'electron', 'beam', 'size', 'monitor', 'it', 'probes', 'a', 'electron', 'beam', 'by', 'an', 'interference', 'fringe', 'pattern', 'formed', 'by', 'split', 'laser', 'beams', 'minimum', 'measurable', 'beam', 'size', 'by', 'this', 'method', 'is', 'less', 'than', '110', 'of', 'laser', 'wavelength', 'in', 'atf2', 'shintake', 'monitor', 'will', 'be', 'used', 'for', 'the', 'ip', 'beam', 'size', 'monitor', 'to', 'measure', '37', 'nm', 'design', 'beam', 'size', 'development', 'status', 'of', 'the', 'shintake', 'monitor', 'including', 'fringe', 'phase', 'monitoring', 'and', 'stabilization', 'gamma', 'detector', 'and', 'collimators', 'is', 'described', 'in', 'addition', 'we', 'discuss', 'the', 'beam', 'size', 'measurement', 'by', 'shintake', 'monitor', 'in', 'ilc']] | [-0.11703714138168968, 0.2548524475399093, -0.061367030768247136, 0.025434717737410344, -0.006241053311426318, -0.21380542453085438, 0.01176851290916459, 0.4687868588462765, -0.2309930466084082, -0.35096445673386034, 0.07124144046729577, -0.2784955782313528, 0.04815719866329867, 0.24413064276810023, -0.04313918585062362, 0.0950847567592779, 0.05857706126976717, -0.07355057494191641, -0.004242048290129123, -0.13150919078237094, 0.18426337215007582, 0.19925912096115414, 0.34135548520330966, 0.03686615761390395, 0.09746720879391003, 0.10073886612388358, -0.044015146603577596, -0.05257051965493834, -0.12325623248484027, -0.01704158607786626, 0.26492844015527306, 0.14449891870778597, 0.19794656174339803, -0.3942666765553563, -0.1559278688424926, 0.0436224141524414, 0.1061412680003363, 0.024067441849142647, -0.04242321170782775, -0.2721216170394563, 0.04617595917472009, -0.1444853392712186, -0.24044750832816522, 0.02928112279833033, -0.007888881845420666, 0.08463785900169293, -0.22768447122254062, -0.09359036083594802, -0.04389972642085023, 0.08357993692285225, 0.02590344697001568, -0.06230218109434073, 0.03828804868828045, 0.022616441751401244, -0.046505148289725184, 0.10780246349396917, 0.2529855296277347, -0.07062912291554169, -0.06764189631081699, 0.33812998264264105, -0.0027107996324906543, -0.10756587002719387, 0.07105113467557377, -0.20650847464423167, 0.015457636143049498, 0.21349990438000205, 0.24206724277552966, 0.0924312719771785, -0.20085877342296116, -0.02698262771871137, 0.04581278603879756, 0.29569359509185417, 0.19230900248944277, 0.06072177089164766, 0.17203206506170585, 0.2789122871426719, 0.14575853781104925, 0.15869458403642384, -0.2454359664403823, 0.050707924215049806, -0.25965472620524715, -0.11907705747302663, -0.15335033038628465, 0.026928686542080693, 0.010979702042512533, -0.04989735798889332, 0.4365845596773571, 0.1174351424554342, 0.08998932966732243, -0.10537923041605547, 0.3470322772274526, 0.049329103012516924, 0.11249811573901078, -0.028814899591268615, 0.24801525864959434, 0.12035368272532405, 0.12878707486068766, -0.29746046674364574, 0.06066610732147198, -0.01848844750627373] |
709.1334 | Le degre de la variete des courbes de Poncelet | We compute the degree of the projective variety of Poncelet curves of degree
$n$. This variety is irreducible of dimension $2 n + 5$, and lies inside the
projective space of degree $n$ plane curves. It is classically defined as the
closure on this projective space of the locally closed subset of curves passing
through the vertices of some nondegenerate $n$ sided polygone inscribed in some
smooth conic (the polygone and the conic being variable). It is related to a
specific class of semi-stable sheaves on the projective (dual) plane, named
Poncelet sheaves. Using moduli spaces birational to the variety of Poncelet
curves, we compute the requested degree. It involves quite cumbersome
computations, and we obtain general formulas for $n \geq 4$. We do numerical
applications for $n \leq 6$. For $n=4$ we find back the well known Donaldson
number of the projective plane, 54, which is the degree of the hypersurface of
Luroth quartics.
| math.AG | we compute the degree of the projective variety of poncelet curves of degree n this variety is irreducible of dimension 2 n 5 and lies inside the projective space of degree n plane curves it is classically defined as the closure on this projective space of the locally closed subset of curves passing through the vertices of some nondegenerate n sided polygone inscribed in some smooth conic the polygone and the conic being variable it is related to a specific class of semistable sheaves on the projective dual plane named poncelet sheaves using moduli spaces birational to the variety of poncelet curves we compute the requested degree it involves quite cumbersome computations and we obtain general formulas for n geq 4 we do numerical applications for n leq 6 for n4 we find back the well known donaldson number of the projective plane 54 which is the degree of the hypersurface of luroth quartics | [['we', 'compute', 'the', 'degree', 'of', 'the', 'projective', 'variety', 'of', 'poncelet', 'curves', 'of', 'degree', 'n', 'this', 'variety', 'is', 'irreducible', 'of', 'dimension', '2', 'n', '5', 'and', 'lies', 'inside', 'the', 'projective', 'space', 'of', 'degree', 'n', 'plane', 'curves', 'it', 'is', 'classically', 'defined', 'as', 'the', 'closure', 'on', 'this', 'projective', 'space', 'of', 'the', 'locally', 'closed', 'subset', 'of', 'curves', 'passing', 'through', 'the', 'vertices', 'of', 'some', 'nondegenerate', 'n', 'sided', 'polygone', 'inscribed', 'in', 'some', 'smooth', 'conic', 'the', 'polygone', 'and', 'the', 'conic', 'being', 'variable', 'it', 'is', 'related', 'to', 'a', 'specific', 'class', 'of', 'semistable', 'sheaves', 'on', 'the', 'projective', 'dual', 'plane', 'named', 'poncelet', 'sheaves', 'using', 'moduli', 'spaces', 'birational', 'to', 'the', 'variety', 'of', 'poncelet', 'curves', 'we', 'compute', 'the', 'requested', 'degree', 'it', 'involves', 'quite', 'cumbersome', 'computations', 'and', 'we', 'obtain', 'general', 'formulas', 'for', 'n', 'geq', '4', 'we', 'do', 'numerical', 'applications', 'for', 'n', 'leq', '6', 'for', 'n4', 'we', 'find', 'back', 'the', 'well', 'known', 'donaldson', 'number', 'of', 'the', 'projective', 'plane', '54', 'which', 'is', 'the', 'degree', 'of', 'the', 'hypersurface', 'of', 'luroth', 'quartics']] | [-0.21855200719928924, 0.058090153410305066, -0.03924112409570968, 0.0508352231261526, -0.09675278663090975, -0.1638942507137968, 0.0023458928607597756, 0.3252977868300173, -0.31398582338149866, -0.2230297103524208, 0.09833131892404023, -0.26823470800171617, -0.13721883545823202, 0.22933913712683074, -0.12619447911885043, 0.0292969160477401, -0.01774770945655303, 0.07216743063242115, -0.09786378571086309, -0.38056423227218067, 0.3954731169543773, -0.09053388012228412, 0.20299637614214164, 0.03469051511515259, 0.1380144710132441, 0.0844039786138342, 0.023435607041132504, -0.01432659209429214, -0.1535582934875138, 0.13970583676687115, 0.3070764987919988, 0.15003276411134012, 0.12616030457157448, -0.35505720459729095, -0.13520238723291397, 0.23095126358214646, 0.13757020677742246, 0.022991185701700147, 0.03994616896198312, -0.18903550465346325, 0.07281227534116766, -0.074054789620277, -0.24157042730019077, -0.0659362822347744, 0.07877786046002883, 0.03531008229179719, -0.17417596756819298, -0.038257886440940685, 0.06103180858757129, 0.1434366974094051, 0.008879476329674582, -0.12220213026512874, -0.09989149178614139, 0.03341752712164292, -0.050127518597686764, 0.09744398349400174, 0.0657426226557559, -0.07829687871377576, -0.06669101304096448, 0.362374872921712, -0.012862222090774736, -0.23010881299261826, 0.1125028426758945, -0.18724377977649692, -0.12671430953234047, 0.18354930569018638, 0.13174092188453326, 0.2519721236660496, 0.015966818758661485, 0.19042972914833733, -0.12248558514787779, 0.10023496243664269, 0.14051660841524408, -0.026442255302825218, 0.1239414666114109, 0.0792223442702663, 0.06667967236377056, 0.12790900303501418, -0.07607656396780309, -0.0576655473692385, -0.40472986534624905, -0.22596626413846993, -0.1417295227119058, 0.157031971274863, -0.17526759549814, -0.14899895183572714, 0.3820221472150562, 0.0023728781305109876, 0.22796706616418896, 0.10511003967522728, 0.22940554702078073, 0.018894191497979176, 0.008833748055621982, 0.07790424208483332, 0.1697314551312555, 0.18351104250782496, -0.023544687012742673, -0.12094818504131097, -0.007426155537560389, 0.1690226510445309] |
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