id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
711.3008 | The Galactic Positron Annihilation Radiation & The Propagation of
Positrons in the Interstellar Medium | We consider positron propagation in the interstellar medium and show that the
positrons from the beta-plus decay chains of the radioactive nuclei Ni-56,
Ti-44, and Al-26, produced in Galactic supernovae, can fully account for all
the features of the diffuse Galactic 511 keV annihilation radiation observed by
INTEGRAL/SPI. We also predict additional measurable features that can further
test the origin of positrons and provide new information on the nature of the
interstellar medium.
| astro-ph | we consider positron propagation in the interstellar medium and show that the positrons from the betaplus decay chains of the radioactive nuclei ni56 ti44 and al26 produced in galactic supernovae can fully account for all the features of the diffuse galactic 511 kev annihilation radiation observed by integralspi we also predict additional measurable features that can further test the origin of positrons and provide new information on the nature of the interstellar medium | [['we', 'consider', 'positron', 'propagation', 'in', 'the', 'interstellar', 'medium', 'and', 'show', 'that', 'the', 'positrons', 'from', 'the', 'betaplus', 'decay', 'chains', 'of', 'the', 'radioactive', 'nuclei', 'ni56', 'ti44', 'and', 'al26', 'produced', 'in', 'galactic', 'supernovae', 'can', 'fully', 'account', 'for', 'all', 'the', 'features', 'of', 'the', 'diffuse', 'galactic', '511', 'kev', 'annihilation', 'radiation', 'observed', 'by', 'integralspi', 'we', 'also', 'predict', 'additional', 'measurable', 'features', 'that', 'can', 'further', 'test', 'the', 'origin', 'of', 'positrons', 'and', 'provide', 'new', 'information', 'on', 'the', 'nature', 'of', 'the', 'interstellar', 'medium']] | [0.0006121375553360948, 0.20349777011481457, -0.06702110916376114, 0.17732992807836973, -0.06734880623216294, -0.033373126307221716, 0.018795892055631196, 0.4034535352089634, -0.2759166929666718, -0.284083694446041, -0.06515129414476352, -0.353315459334687, 0.04960785872519833, 0.19557089722166732, 0.05987175180541259, -0.03965620132647965, 0.0548226471658643, -0.0746518257420912, 0.018116926506467877, -0.21548947248263411, 0.27682891913549335, 0.14149390915025994, 0.18985053697881632, 0.09345231297081463, 0.07771618157937765, -0.07018351524889674, -0.0675143891154495, -0.09080705457456308, -0.09074127182068642, 0.08231307774756665, 0.18241863264638472, 0.17665747462130751, 0.11336435934756756, -0.47410578546050475, -0.31021337600246274, 0.17094683989065967, 0.2085990798930727, 0.045508737382415225, -0.14135943921697516, -0.32284594924278454, 0.055700439656765695, -0.1708441716044733, -0.13941358767883621, 0.0232346858574103, -0.026823941605446273, 0.09229193097108031, -0.215897667464124, 0.07687703742963033, 0.041798753559442674, -0.005171455953219165, -0.16712754150878076, -0.11438355538260497, -0.008811328955607056, 0.02688853563868428, 0.09673510846197095, -0.013332638342558623, 0.2063431179642116, -0.12081803819037056, -0.04445834481476309, 0.444127715945448, -0.074834606288103, -0.013445823899891279, 0.14483588564605132, -0.20659286939110033, -0.13480409836932405, 0.24248347200504314, 0.21770379863271158, 0.06110358166776291, -0.20643983741788424, 0.038579426269678474, -0.05448167990854852, 0.17385263015095093, 0.03120554052612247, 0.08832172382214706, 0.2757199508941745, 0.09563433233495444, -0.016246180235063783, 0.09357620678740004, -0.2243340793288989, 0.04289361623383752, -0.30258142194162085, -0.13713268546566162, -0.07576583648795798, 0.11112629407729749, -0.08376456775374819, -0.08320390933180509, 0.34979866040640906, 0.10724498530569142, 0.21449252642206337, -0.04850349218380472, 0.32058026263975115, 0.03395632414581024, 0.01320746557927397, 0.13500216173339788, 0.3512746355407042, 0.1474955855288275, 0.08980360810249431, -0.2519571864180114, 0.1328557077795267, -0.010890731485943272] |
711.3009 | An asymptotic behavior of the dilatation for a family of pseudo-Anosov
braids | The dilatation of a pseudo-Anosov braid is a conjugacy invariant. In this
paper, we study the dilatation of a special family of pseudo-Anosov braids. We
prove an inductive formula to compute their dilatation, a monotonicity and an
asymptotic behavior of the dilatation for this family of braids. We also give
an example of a family of pseudo-Anosov braids with arbitrarily small
dilatation such that the mapping torus obtained from such braid has 2 cusps and
has an arbitrarily large volume.
| math.GT math.DS | the dilatation of a pseudoanosov braid is a conjugacy invariant in this paper we study the dilatation of a special family of pseudoanosov braids we prove an inductive formula to compute their dilatation a monotonicity and an asymptotic behavior of the dilatation for this family of braids we also give an example of a family of pseudoanosov braids with arbitrarily small dilatation such that the mapping torus obtained from such braid has 2 cusps and has an arbitrarily large volume | [['the', 'dilatation', 'of', 'a', 'pseudoanosov', 'braid', 'is', 'a', 'conjugacy', 'invariant', 'in', 'this', 'paper', 'we', 'study', 'the', 'dilatation', 'of', 'a', 'special', 'family', 'of', 'pseudoanosov', 'braids', 'we', 'prove', 'an', 'inductive', 'formula', 'to', 'compute', 'their', 'dilatation', 'a', 'monotonicity', 'and', 'an', 'asymptotic', 'behavior', 'of', 'the', 'dilatation', 'for', 'this', 'family', 'of', 'braids', 'we', 'also', 'give', 'an', 'example', 'of', 'a', 'family', 'of', 'pseudoanosov', 'braids', 'with', 'arbitrarily', 'small', 'dilatation', 'such', 'that', 'the', 'mapping', 'torus', 'obtained', 'from', 'such', 'braid', 'has', '2', 'cusps', 'and', 'has', 'an', 'arbitrarily', 'large', 'volume']] | [-0.22925117646809667, 0.15529290060003403, -0.08575470754876732, 0.05838587816542713, -0.0463036312663462, -0.11069724758272059, -0.014067727529618424, 0.30399694107472897, -0.32049659341573716, -0.24586689493153244, 0.10973840079823276, -0.303468586501549, -0.19496460063382984, 0.20730871892301367, -0.14634898795193294, 0.08340693814679981, 0.048436890667653644, 0.09970794179243966, -0.13502991485001986, -0.16088328098412602, 0.3701789521612227, -0.0226558459806256, 0.19164561110083014, 0.06195936664007604, 0.1059851969126612, -0.09082575920037925, 0.015638642926933243, -0.016098443232476712, -0.1861487709834364, 0.17232374216837343, 0.231954308054992, 0.056014772273920245, 0.14978748746216297, -0.3789808316389099, -0.09342867474188096, 0.1983857466490008, 0.1483501901238924, 0.09017732933862135, -0.08347528685408179, -0.23718175461981444, 0.062068686517886815, -0.21907390358392148, -0.23037271184148267, -0.07044018331798725, 0.10810919302748516, -0.03845656945486553, -0.20310401623137295, -0.032508506594240316, 0.16818229369819165, 0.17747008166043088, 0.03265284867957234, -0.0432059689075686, -0.017677999276202172, 0.18620883859111928, 0.1031711811403511, 0.03825072014296893, 0.11004679661127739, -0.10377218600187917, -0.0870738881872967, 0.3462639821525954, -0.11248121372191236, -0.2697873202618212, 0.11621322359133046, -0.1511935029993765, -0.23260128072579392, 0.144301714534231, 0.13633330566808582, 0.14565708223963156, -0.09452426908537745, 0.16767536726401885, -0.18989794876542873, 0.09481162318188581, 0.10864183903904631, -0.05706144745345228, 0.11469424734823405, 0.05742446684744209, 0.15081104848068208, 0.2721931711239449, -0.022365630519925617, 0.02803928306384478, -0.3789521715138108, -0.2517472889219789, -0.16505217349040321, 0.18254588614800013, -0.14446356140215358, -0.2728017987450585, 0.41046216543763875, 0.015423866594210267, 0.1747221744444687, 0.22732610330240277, 0.17714199156034738, 0.06536844604997896, 0.09691806602932047, 0.11101845788653009, 0.12001400049775839, 0.1473524190369062, -0.07178655504249036, -0.2388601575017674, -0.009158220113022253, 0.2241472709691152] |
711.301 | Azimuthal anisotropy of direct photons | The electromagnetic bremsstrahlung produced by a quark interacting with
nucleons or nuclei is azimuthally asymmetric. In the light-cone dipole approach
this effect is related to the orientation dependent dipole cross section. Such
a radiation anisotropy is expected to contribute to the azimuthal asymmetry of
direct photons in pA and AA collisions, as well as in DIS and in the production
of dileptons.
| hep-ph nucl-th | the electromagnetic bremsstrahlung produced by a quark interacting with nucleons or nuclei is azimuthally asymmetric in the lightcone dipole approach this effect is related to the orientation dependent dipole cross section such a radiation anisotropy is expected to contribute to the azimuthal asymmetry of direct photons in pa and aa collisions as well as in dis and in the production of dileptons | [['the', 'electromagnetic', 'bremsstrahlung', 'produced', 'by', 'a', 'quark', 'interacting', 'with', 'nucleons', 'or', 'nuclei', 'is', 'azimuthally', 'asymmetric', 'in', 'the', 'lightcone', 'dipole', 'approach', 'this', 'effect', 'is', 'related', 'to', 'the', 'orientation', 'dependent', 'dipole', 'cross', 'section', 'such', 'a', 'radiation', 'anisotropy', 'is', 'expected', 'to', 'contribute', 'to', 'the', 'azimuthal', 'asymmetry', 'of', 'direct', 'photons', 'in', 'pa', 'and', 'aa', 'collisions', 'as', 'well', 'as', 'in', 'dis', 'and', 'in', 'the', 'production', 'of', 'dileptons']] | [-0.06478490432228652, 0.2520356150344014, -0.11282623801079969, 0.13295250348070817, -0.04661231572108884, -0.019129079811635516, -0.06592180048145595, 0.4117501559517076, -0.20786873299267986, -0.2633719048312595, -0.1123284729227664, -0.35660190033095496, 0.044079462971328004, 0.11793775534662869, 0.09493304209993972, 0.016989819420080994, 0.01573356325107236, 0.025181536352442156, 0.016062205514660286, -0.1440402089332741, 0.30965738593330305, 0.11408717848075133, 0.2423920464221268, 0.17913302725871966, 0.04424032633523307, 0.11427793386692722, -0.05044704636900626, 0.002702426555896959, -0.01954201208953295, 0.05213031478107892, 0.21815997342139692, 0.012452090052031581, 0.06665166102409843, -0.39096904494949886, -0.0994987390867825, 0.11317803339672185, 0.18658469455887475, 0.12414106741386105, -0.06209467011578982, -0.2543186832880301, -0.008205821551758075, -0.2370454514279, -0.15153984852405566, -0.002398005371252375, 0.042272018471492395, 0.05911756665896504, -0.3495303557644929, 0.13049653513477213, 0.00855756814933322, 0.02982110553045547, -0.013288927350884243, -0.13111191034887829, -0.06868145095499893, -0.022209412212701393, 0.1309408952609726, 0.11855632117799213, 0.2434812183642099, -0.1852330373461178, -0.15906685329372844, 0.4407051670695505, -0.07152475176319, -0.1778356458450998, 0.1145412306575435, -0.22443921088180954, -0.07530884198739284, 0.20013876152299945, 0.2560911628177329, 0.12021863923573325, -0.1496664858573387, 0.0235061306457576, -0.02128860437040848, 0.13431189226872858, 0.09578229794879595, 0.06764358753759053, 0.2533482613732978, 0.16632025785023166, -0.033515100727879235, 0.11627894363576366, -0.1281873345555317, -0.043843686790956606, -0.36159729879469643, -0.09230363559758951, -0.10704674109095527, 0.0797524401268381, -0.03629224129925264, -0.12592530972324312, 0.32762008574941465, 0.07050688669926697, 0.2560310964209719, -0.08741864313807098, 0.39800607419062045, 0.10630297188031217, 0.07352291125308481, 0.0571883998270477, 0.3661761485761212, 0.21952622897938015, 0.16152026894562896, -0.264535371717366, 0.06773285386002352, -3.590425776858484e-05] |
711.3011 | Absolutely Indecomposable Modules | A module is called absolutely indecomposable if it is directly indecomposable
in every generic extension of the universe. We want to show the existence of
large abelian groups that are absolutely indecomposable. This will follow from
a more general result about R-modules over a large class of commutative rings R
with endomorphism ring R which remains the same when passing to a generic
extension of the universe. It turns out that `large' in this context has the
precise meaning, namely being smaller then the first omega-Erdos cardinal
defined below. We will first apply result on large rigid trees with a similar
property established by Shelah in 1982, and will prove the existence of related
` R_omega-modules' (R-modules with countably many distinguished submodules) and
finally pass to R-modules. The passage through R_omega-modules has the great
advantage that the proofs become very transparent essentially using a few
`linear algebra' arguments accessible also for graduate students. The result
gives a new construction of indecomposable modules in general using a counting
argument.
| math.LO math.GR | a module is called absolutely indecomposable if it is directly indecomposable in every generic extension of the universe we want to show the existence of large abelian groups that are absolutely indecomposable this will follow from a more general result about rmodules over a large class of commutative rings r with endomorphism ring r which remains the same when passing to a generic extension of the universe it turns out that large in this context has the precise meaning namely being smaller then the first omegaerdos cardinal defined below we will first apply result on large rigid trees with a similar property established by shelah in 1982 and will prove the existence of related r_omegamodules rmodules with countably many distinguished submodules and finally pass to rmodules the passage through r_omegamodules has the great advantage that the proofs become very transparent essentially using a few linear algebra arguments accessible also for graduate students the result gives a new construction of indecomposable modules in general using a counting argument | [['a', 'module', 'is', 'called', 'absolutely', 'indecomposable', 'if', 'it', 'is', 'directly', 'indecomposable', 'in', 'every', 'generic', 'extension', 'of', 'the', 'universe', 'we', 'want', 'to', 'show', 'the', 'existence', 'of', 'large', 'abelian', 'groups', 'that', 'are', 'absolutely', 'indecomposable', 'this', 'will', 'follow', 'from', 'a', 'more', 'general', 'result', 'about', 'rmodules', 'over', 'a', 'large', 'class', 'of', 'commutative', 'rings', 'r', 'with', 'endomorphism', 'ring', 'r', 'which', 'remains', 'the', 'same', 'when', 'passing', 'to', 'a', 'generic', 'extension', 'of', 'the', 'universe', 'it', 'turns', 'out', 'that', 'large', 'in', 'this', 'context', 'has', 'the', 'precise', 'meaning', 'namely', 'being', 'smaller', 'then', 'the', 'first', 'omegaerdos', 'cardinal', 'defined', 'below', 'we', 'will', 'first', 'apply', 'result', 'on', 'large', 'rigid', 'trees', 'with', 'a', 'similar', 'property', 'established', 'by', 'shelah', 'in', '1982', 'and', 'will', 'prove', 'the', 'existence', 'of', 'related', 'r_omegamodules', 'rmodules', 'with', 'countably', 'many', 'distinguished', 'submodules', 'and', 'finally', 'pass', 'to', 'rmodules', 'the', 'passage', 'through', 'r_omegamodules', 'has', 'the', 'great', 'advantage', 'that', 'the', 'proofs', 'become', 'very', 'transparent', 'essentially', 'using', 'a', 'few', 'linear', 'algebra', 'arguments', 'accessible', 'also', 'for', 'graduate', 'students', 'the', 'result', 'gives', 'a', 'new', 'construction', 'of', 'indecomposable', 'modules', 'in', 'general', 'using', 'a', 'counting', 'argument']] | [-0.12286218777675148, 0.10998915285496723, -0.12165689919280206, 0.07500247866846621, -0.12004117772732747, -0.16953758913569333, -0.026444632959660007, 0.34242299799920944, -0.3316369929277088, -0.2054788929540891, 0.1286337388624017, -0.2391667059429626, -0.11016971408531478, 0.2023597330581851, -0.1243015242805818, -0.05719169038177536, 0.081308259261366, 0.08113062470617545, -0.032749946251875016, -0.2867363004536345, 0.35835303361641196, 0.017379652810987176, 0.2123531774992532, 0.043548548574241376, 0.1299822215422443, 0.03031778749555531, -0.04309586803577897, 0.026810923058159148, -0.1520224108478099, 0.1125054568131795, 0.33146962779165934, 0.1060915039128215, 0.2817060307928974, -0.34839531105979227, -0.10016470054706145, 0.20470511368986946, 0.14795636627879902, 0.06004257041821824, -0.036707692826184496, -0.25407596625225826, 0.14185663870899234, -0.21921805808286568, -0.14384916133429038, -0.0809309866631449, 0.10091348590965314, -0.02077097135167228, -0.2276911611907275, -0.02233656034283141, 0.11583101791443258, 0.08194836191605867, -0.043524513113037004, -0.06305781855793079, -0.022001703789389534, 0.07478954088423406, -0.011496575466902336, 0.0033065550591478625, 0.09795979658537829, -0.06832297375459769, -0.10052798502786062, 0.3548084034260771, -0.08013321387066176, -0.19331718563874503, 0.2009680645707881, -0.19088368730267463, -0.17302977244750165, 0.14378421536643943, 0.03428406411463895, 0.1502316663064426, -0.08742763879934323, 0.16824772016914766, -0.17595647604818024, 0.11183504282323667, 0.10430031283701793, 0.01889672157391565, 0.20546189397459896, 0.14333637450429862, 0.08186839419972895, 0.13922789185762224, 0.044797559247477116, -0.01081940302023346, -0.35540013157808015, -0.16094097648566252, -0.1607471238019615, 0.12028183495603138, -0.054096239011148385, -0.15502043218613126, 0.3951309158171459, 0.1512065055303094, 0.16864334452306715, 0.1369835772067479, 0.24266026044128144, 0.03076953415917914, 0.08925559497921069, 0.06929719276421366, 0.18998119500806418, 0.18454433190522762, 0.023185094634621834, -0.04366457229622117, 0.03329957606520776, 0.12463109213120599] |
711.3012 | BlackMax: A black-hole event generator with rotation, recoil, split
branes and brane tension | We present a comprehensive black-hole event generator, BlackMax, which
simulates the experimental signatures of microscopic and Planckian black-hole
production and evolution at the LHC in the context of brane world models with
low-scale quantum gravity. The generator is based on phenomenologically
realistic models free of serious problems that plague low-scale gravity, thus
offering more realistic predictions for hadron-hadron colliders. The generator
includes all of the black-hole graybody factors known to date and incorporates
the effects of black-hole rotation, splitting between the fermions, non-zero
brane tension and black-hole recoil due to Hawking radiation (although not all
simultaneously).
The generator can be interfaced with Herwig and Pythia.
| hep-ph gr-qc hep-th | we present a comprehensive blackhole event generator blackmax which simulates the experimental signatures of microscopic and planckian blackhole production and evolution at the lhc in the context of brane world models with lowscale quantum gravity the generator is based on phenomenologically realistic models free of serious problems that plague lowscale gravity thus offering more realistic predictions for hadronhadron colliders the generator includes all of the blackhole graybody factors known to date and incorporates the effects of blackhole rotation splitting between the fermions nonzero brane tension and blackhole recoil due to hawking radiation although not all simultaneously the generator can be interfaced with herwig and pythia | [['we', 'present', 'a', 'comprehensive', 'blackhole', 'event', 'generator', 'blackmax', 'which', 'simulates', 'the', 'experimental', 'signatures', 'of', 'microscopic', 'and', 'planckian', 'blackhole', 'production', 'and', 'evolution', 'at', 'the', 'lhc', 'in', 'the', 'context', 'of', 'brane', 'world', 'models', 'with', 'lowscale', 'quantum', 'gravity', 'the', 'generator', 'is', 'based', 'on', 'phenomenologically', 'realistic', 'models', 'free', 'of', 'serious', 'problems', 'that', 'plague', 'lowscale', 'gravity', 'thus', 'offering', 'more', 'realistic', 'predictions', 'for', 'hadronhadron', 'colliders', 'the', 'generator', 'includes', 'all', 'of', 'the', 'blackhole', 'graybody', 'factors', 'known', 'to', 'date', 'and', 'incorporates', 'the', 'effects', 'of', 'blackhole', 'rotation', 'splitting', 'between', 'the', 'fermions', 'nonzero', 'brane', 'tension', 'and', 'blackhole', 'recoil', 'due', 'to', 'hawking', 'radiation', 'although', 'not', 'all', 'simultaneously', 'the', 'generator', 'can', 'be', 'interfaced', 'with', 'herwig', 'and', 'pythia']] | [-0.07488548536230588, 0.1691369195801339, -0.07750768235308074, 0.18693051992006424, -0.12818198177874798, -0.17844902716488356, -0.06547113487142182, 0.314292837005286, -0.14209996498234215, -0.31817871502467565, 0.03238248588362088, -0.32163767773835433, -0.03982997950432556, 0.21996488434573014, -0.00598048765567087, 0.09446385177295832, 0.0819197808392346, -0.01839547169261745, -0.05363975538029557, -0.19647957600231858, 0.3267109127404789, 0.1582642734704894, 0.2136586151662327, 0.07888844506815076, 0.14975125189161018, 0.0067542478176099915, -0.009535828832026926, -0.022512088339066223, -0.13040973433727188, 0.0321990873819838, 0.22050176928397766, 0.12380746547576217, 0.10212511805196603, -0.41967594804508346, -0.23535265524295115, 0.09791872728549476, 0.11014153323845849, 0.2009520135750617, -0.07706377711105493, -0.2512545230022321, 0.07648471336634387, -0.2854781426733271, -0.09409283739514648, -0.03596323528992278, 0.0013408171944320202, -0.09589009186075557, -0.2656307196288946, 0.07511527561804368, -0.020952585454852807, -0.023447040687980397, -0.019728886094387797, -0.08014407948191676, -0.08174004149844959, 0.07289030201555717, 0.12149889010359488, 0.010921062719786451, 0.17099129816162445, -0.13226411308915842, -0.22205683414247773, 0.4301162962402616, -0.02851495737476008, -0.15320257646519514, 0.1751052868109019, -0.1900703443657784, -0.12806107008031437, 0.11852207772123317, 0.16990199002126852, 0.12550185050904042, -0.17357060650718353, 0.14642228771256105, 0.06545200702689943, 0.16796906185779897, 0.04005418915212864, 0.0664282447126295, 0.34517850890046076, 0.17369272928197113, -0.06484244978498845, 0.09405812812370382, -0.043965197264749026, -0.12654664953061867, -0.41327380964177707, -0.05061989045657572, -0.10537562709346059, 0.07391555916221391, -0.12995853185850484, -0.18268317418793836, 0.36095968977149046, 0.18636746094783857, 0.17375845839158588, 0.020598379204360147, 0.30066755156343183, 0.048703454931577045, 0.08134228119050108, 0.08744582097888702, 0.27969870802369856, 0.08137686432427949, 0.09997889892685981, -0.2829882783948311, 0.02200925685021849, 0.05172498802255307] |
711.3013 | Natural realizations of sparsity matroids | A hypergraph G with n vertices and m hyperedges with d endpoints each is
(k,l)-sparse if for all sub-hypergraphs G' on n' vertices and m' edges, m'\le
kn'-l. For integers k and l satisfying 0\le l\le dk-1, this is known to be a
linearly representable matroidal family.
Motivated by problems in rigidity theory, we give a new linear representation
theorem for the (k,l)-sparse hypergraphs that is natural; i.e., the
representing matrix captures the vertex-edge incidence structure of the
underlying hypergraph G.
| math.CO cs.CG math.AG math.MG | a hypergraph g with n vertices and m hyperedges with d endpoints each is klsparse if for all subhypergraphs g on n vertices and m edges mle knl for integers k and l satisfying 0le lle dk1 this is known to be a linearly representable matroidal family motivated by problems in rigidity theory we give a new linear representation theorem for the klsparse hypergraphs that is natural ie the representing matrix captures the vertexedge incidence structure of the underlying hypergraph g | [['a', 'hypergraph', 'g', 'with', 'n', 'vertices', 'and', 'm', 'hyperedges', 'with', 'd', 'endpoints', 'each', 'is', 'klsparse', 'if', 'for', 'all', 'subhypergraphs', 'g', 'on', 'n', 'vertices', 'and', 'm', 'edges', 'mle', 'knl', 'for', 'integers', 'k', 'and', 'l', 'satisfying', '0le', 'lle', 'dk1', 'this', 'is', 'known', 'to', 'be', 'a', 'linearly', 'representable', 'matroidal', 'family', 'motivated', 'by', 'problems', 'in', 'rigidity', 'theory', 'we', 'give', 'a', 'new', 'linear', 'representation', 'theorem', 'for', 'the', 'klsparse', 'hypergraphs', 'that', 'is', 'natural', 'ie', 'the', 'representing', 'matrix', 'captures', 'the', 'vertexedge', 'incidence', 'structure', 'of', 'the', 'underlying', 'hypergraph', 'g']] | [-0.19369526306903104, 0.1423589195481237, -0.0058191380475038365, 0.003469617603300714, -0.11972983667833938, -0.23598240715463037, -0.00114201882675888, 0.35606224009376247, -0.29310326073548676, -0.2882708177936298, 0.018795639688988435, -0.32694048175507767, -0.1458293661808618, 0.0635477958281559, -0.09578292787989119, 0.016367162724404975, 0.08842661054689943, 0.11972557007547836, 0.005772501825251513, -0.2784703815166183, 0.3090169173895301, -0.08927380122290349, 0.13596144232347054, 0.033917565956527805, 0.08689480993528793, 0.07785579258645023, 0.05089790284357689, 0.09011993343355479, -0.2039745501333303, 0.09667986630531097, 0.2999064348132154, 0.18880485372479866, 0.23453665642286248, -0.35195175898663794, -0.16091244272531274, 0.2074013230416717, 0.07986151202248386, -0.03553007554584815, 0.05102477956385018, -0.21190975336242973, 0.18086659889610737, -0.046696463881497396, -0.1068062704504916, 0.008081636561172795, 0.17525678755209587, 0.0005363009893047957, -0.35520151663172045, -0.03134550489370286, 0.12766082679139978, 0.04567049223538718, 0.08062196854375486, -0.22025156237851876, -0.06006747965965374, 0.023855660038850743, -0.09102808458466129, 0.07440493704268226, 0.021000710356783664, -0.06351884462824667, -0.12302865771530772, 0.3437952316836109, -0.04413849266280455, -0.17330931850571046, 0.08392094919619, -0.1297382082744145, -0.18025262944434803, 0.10111744854783203, 0.09776120307498876, 0.18968583636537747, -0.04158993337927156, 0.2279189087911854, -0.17185982786992818, 0.12186086621641377, 0.13365815810997178, 0.0363759017078045, 0.11077918066286746, 0.12725600982688506, 0.18290098771498894, 0.13127255075134014, 0.04753138513281298, 0.05932533126439393, -0.319817286502156, -0.09803865413055007, -0.24941434223854478, 0.11251183146507376, -0.22184205663704493, -0.17555514059638905, 0.37552908191710344, 0.043796745922278474, 0.2352947290342899, 0.15399783451891977, 0.19236918231817307, 0.053856031216083115, 0.01685540848929021, 0.1945527469980772, 0.023434073779226086, 0.2555399883199299, -0.07694982702234461, -0.13463354287927765, 0.022030726710426402, 0.1835067229816851] |
711.3014 | On The Survival and Abundance of Disk-dominated Galaxies | We study the formation of disk-dominated galaxies in a Lambda CDM universe.
Their existence is considered to be a challenge for the Lambda CDM cosmology,
because galaxy mergers isotropize stellar disks and trigger angular momentum
transport in gas disks, thus fostering the formation of central stellar
spheroids. Here, we postulate that the formation of stellar spheroids from
gas-rich disks is controlled by two parameters that characterize galaxy
mergers, the mass ratio of merging dark matter halos, and the virial velocity
of the larger merging halo. We utilize merger histories generated from
realizations of the cosmological density field to calculate the fraction of
dark matter halos that have avoided spheroid formation, and compare the derived
statistics with the spheroid occupation fractions in surveys of nearby
galaxies. We find, for example, that the survival rate of disk-dominated
galaxies in Lambda CDM is just high enough to explain the observed fractional
representation of disk-dominated galaxies in the universe if the only mergers
which lead to central spheroid formation are those with mass ratios M2/M1 > 0.3
and virial velocities Vvir,1 > 55 km/s. We discuss the physical origin of this
criterion.
| astro-ph | we study the formation of diskdominated galaxies in a lambda cdm universe their existence is considered to be a challenge for the lambda cdm cosmology because galaxy mergers isotropize stellar disks and trigger angular momentum transport in gas disks thus fostering the formation of central stellar spheroids here we postulate that the formation of stellar spheroids from gasrich disks is controlled by two parameters that characterize galaxy mergers the mass ratio of merging dark matter halos and the virial velocity of the larger merging halo we utilize merger histories generated from realizations of the cosmological density field to calculate the fraction of dark matter halos that have avoided spheroid formation and compare the derived statistics with the spheroid occupation fractions in surveys of nearby galaxies we find for example that the survival rate of diskdominated galaxies in lambda cdm is just high enough to explain the observed fractional representation of diskdominated galaxies in the universe if the only mergers which lead to central spheroid formation are those with mass ratios m2m1 03 and virial velocities vvir1 55 kms we discuss the physical origin of this criterion | [['we', 'study', 'the', 'formation', 'of', 'diskdominated', 'galaxies', 'in', 'a', 'lambda', 'cdm', 'universe', 'their', 'existence', 'is', 'considered', 'to', 'be', 'a', 'challenge', 'for', 'the', 'lambda', 'cdm', 'cosmology', 'because', 'galaxy', 'mergers', 'isotropize', 'stellar', 'disks', 'and', 'trigger', 'angular', 'momentum', 'transport', 'in', 'gas', 'disks', 'thus', 'fostering', 'the', 'formation', 'of', 'central', 'stellar', 'spheroids', 'here', 'we', 'postulate', 'that', 'the', 'formation', 'of', 'stellar', 'spheroids', 'from', 'gasrich', 'disks', 'is', 'controlled', 'by', 'two', 'parameters', 'that', 'characterize', 'galaxy', 'mergers', 'the', 'mass', 'ratio', 'of', 'merging', 'dark', 'matter', 'halos', 'and', 'the', 'virial', 'velocity', 'of', 'the', 'larger', 'merging', 'halo', 'we', 'utilize', 'merger', 'histories', 'generated', 'from', 'realizations', 'of', 'the', 'cosmological', 'density', 'field', 'to', 'calculate', 'the', 'fraction', 'of', 'dark', 'matter', 'halos', 'that', 'have', 'avoided', 'spheroid', 'formation', 'and', 'compare', 'the', 'derived', 'statistics', 'with', 'the', 'spheroid', 'occupation', 'fractions', 'in', 'surveys', 'of', 'nearby', 'galaxies', 'we', 'find', 'for', 'example', 'that', 'the', 'survival', 'rate', 'of', 'diskdominated', 'galaxies', 'in', 'lambda', 'cdm', 'is', 'just', 'high', 'enough', 'to', 'explain', 'the', 'observed', 'fractional', 'representation', 'of', 'diskdominated', 'galaxies', 'in', 'the', 'universe', 'if', 'the', 'only', 'mergers', 'which', 'lead', 'to', 'central', 'spheroid', 'formation', 'are', 'those', 'with', 'mass', 'ratios', 'm2m1', '03', 'and', 'virial', 'velocities', 'vvir1', '55', 'kms', 'we', 'discuss', 'the', 'physical', 'origin', 'of', 'this', 'criterion']] | [-0.10070745991724443, 0.12873228679170773, -0.10949190885269193, 0.1609452483932718, -0.10369549818857703, -0.0002874178982149529, -0.04262992768969026, 0.3778154707003024, -0.12067350329360574, -0.33216198390570056, -0.002907541455946342, -0.246164546323119, 0.011754699559601884, 0.16081904111710446, 0.013001438873689822, -0.04588612754421149, 0.027594730274261084, -0.11209747634367437, -0.0399930967970611, -0.3281866916109838, 0.3572347919971141, 0.05006025118442873, 0.11436532397994832, -0.0844452328434194, 0.07617855474464089, -0.11666622447220468, -0.07938600287732658, -0.048667289806725154, -0.26935997402363693, -0.0023561198735654715, 0.24971573136781933, 0.1311917078270707, 0.24415510731138368, -0.3619411503301523, -0.16418040248375104, 0.1260205884138623, 0.2468591293955963, 0.07649735269144238, -0.1474208533688779, -0.24065958737565946, 0.09216157629615276, -0.23952643562644038, -0.17393059305776593, 0.06640751312877383, 0.04150210037359327, 0.027805517859486564, -0.1913878248493758, 0.2645558611857855, 0.026000018655923347, -0.021276559588068757, -0.10303082284692835, -0.06735108676616863, -0.10487409939323501, 0.017587174290931352, 0.05206159730779848, 0.023426378895628756, 0.29816301650197435, -0.1983225809670584, -0.020467937408235444, 0.4662383691037214, -0.044768730533980235, -0.04622777648800884, 0.23203663053666992, -0.26336323057979805, -0.15839087344976444, 0.08875179681091404, 0.1584746120291041, 0.05512475302181287, -0.10886138152851853, 0.0019993587454620707, -0.013243040764674304, 0.21062785506333595, 0.08283797463136776, 0.029537398523497096, 0.4255203690469986, 0.09435011243688003, 0.03949801588583718, 0.02662933070157994, -0.13553159338201806, -0.059826439110091535, -0.21223179405863066, -0.12351296688880652, -0.15285922749085673, 0.09333402398342808, -0.17457475310650913, -0.1135098563271865, 0.279564301253006, 0.08595666099810392, 0.2815008588280449, 0.1147882472417037, 0.3015808106415094, 0.07490518613689033, 0.10662669122033823, 0.0985946687619372, 0.3080534407348242, 0.22310111360243892, 0.04216078669771612, -0.292035577646006, 0.04636315723645791, -0.013831567153164376] |
711.3015 | Quantum magnetism and criticality | Magnetic insulators have proved to be fertile ground for studying new types
of quantum many body states, and I survey recent experimental and theoretical
examples. The insights and methods transfer also to novel superconducting and
metallic states. Of particular interest are critical quantum states, sometimes
found at quantum phase transitions, which have gapless excitations with no
particle- or wave-like interpretation, and control a significant portion of the
finite temperature phase diagram. Remarkably, their theory is connected to
holographic descriptions of Hawking radiation from black holes.
| cond-mat.str-el cond-mat.supr-con hep-th quant-ph | magnetic insulators have proved to be fertile ground for studying new types of quantum many body states and i survey recent experimental and theoretical examples the insights and methods transfer also to novel superconducting and metallic states of particular interest are critical quantum states sometimes found at quantum phase transitions which have gapless excitations with no particle or wavelike interpretation and control a significant portion of the finite temperature phase diagram remarkably their theory is connected to holographic descriptions of hawking radiation from black holes | [['magnetic', 'insulators', 'have', 'proved', 'to', 'be', 'fertile', 'ground', 'for', 'studying', 'new', 'types', 'of', 'quantum', 'many', 'body', 'states', 'and', 'i', 'survey', 'recent', 'experimental', 'and', 'theoretical', 'examples', 'the', 'insights', 'and', 'methods', 'transfer', 'also', 'to', 'novel', 'superconducting', 'and', 'metallic', 'states', 'of', 'particular', 'interest', 'are', 'critical', 'quantum', 'states', 'sometimes', 'found', 'at', 'quantum', 'phase', 'transitions', 'which', 'have', 'gapless', 'excitations', 'with', 'no', 'particle', 'or', 'wavelike', 'interpretation', 'and', 'control', 'a', 'significant', 'portion', 'of', 'the', 'finite', 'temperature', 'phase', 'diagram', 'remarkably', 'their', 'theory', 'is', 'connected', 'to', 'holographic', 'descriptions', 'of', 'hawking', 'radiation', 'from', 'black', 'holes']] | [-0.11782015006824889, 0.23260761216721115, -0.10041304630063036, 0.06524479170740746, -0.06565264210050159, -0.2020344616023495, 0.06721439696437514, 0.3388791659299065, -0.1945779154844144, -0.3063267360057901, 0.042958011541186884, -0.35158203135737603, -0.14383800825487603, 0.21347460967406412, -0.021588679238715592, 0.0808432066180531, 0.012301191260271212, -0.007004314880160724, -0.08080916615641293, -0.19349337174173664, 0.31143999825615215, -0.010445607673404191, 0.3171438011724283, 0.1044870601473924, 0.032892810630009456, -0.06428564227021792, 0.06987929852569805, 0.05424564031007535, -0.16300978351877454, 0.06666438602636952, 0.31172454300172187, 0.04905449384275605, 0.1860952163224711, -0.4575192719917087, -0.2743040085386704, 0.08032572680317304, 0.1484744132414241, 0.1901485851404312, -0.11506811364499085, -0.34881479364326773, 0.04203524392317323, -0.18579933059347026, -0.10621168650686741, -0.1449789692154702, 0.037845176540534285, -0.05542714583742268, -0.16304713437498053, 0.04626933692591539, 0.061135995859170664, 0.07645430143593865, -0.08043834196184488, -0.10203035405891783, -0.044703817126505514, 0.12085027430370889, 0.03687905127264778, 0.02703070414307363, 0.12167609695016461, -0.1657274759210208, -0.16438716342124868, 0.326080383004292, 0.03480195992023629, -0.10089648786713096, 0.23705204359036597, -0.15888629994519493, -0.11148104192141224, 0.16072625073138624, 0.12357287743635585, 0.1049345659722081, -0.09552718669395237, 0.05890943653648719, 0.005814835516845479, 0.14324088179889846, 0.013431590653079398, 0.16083346038700683, 0.33874272121226084, 0.09817069705219611, 0.029621660429299534, 0.14475728996262394, -0.04712578017702874, -0.15877903278040537, -0.28146964142865993, -0.18205712243695468, -0.20974168619140982, 0.053724858775625335, -0.04404567247171037, -0.21127184007097694, 0.3994665972559768, 0.10555265201803515, 0.15142964893020688, -0.04854348646887743, 0.24504144531079766, 0.09373621466733953, 0.013782236788093167, 0.05399988552089781, 0.2652625485871206, 0.18222426768282757, 0.11006828763193506, -0.22251112782396376, 0.0011374627240002156, 0.02839294053504572] |
711.3016 | Diluted antiferromagnet in a ferromagnetic enviroment | The question of robustness of a network under random ``attacks'' is treated
in the framework of critical phenomena. The persistence of spontaneous
magnetization of a ferromagnetic system to the random inclusion of
antiferromagnetic interactions is investigated. After examing the static
properties of the quenched version (in respect to the random antiferromagnetic
interactions) of the model, the persistence of the magnetization is analysed
also in the annealed approximation, and the difference in the results are
discussed.
| cond-mat.dis-nn | the question of robustness of a network under random attacks is treated in the framework of critical phenomena the persistence of spontaneous magnetization of a ferromagnetic system to the random inclusion of antiferromagnetic interactions is investigated after examing the static properties of the quenched version in respect to the random antiferromagnetic interactions of the model the persistence of the magnetization is analysed also in the annealed approximation and the difference in the results are discussed | [['the', 'question', 'of', 'robustness', 'of', 'a', 'network', 'under', 'random', 'attacks', 'is', 'treated', 'in', 'the', 'framework', 'of', 'critical', 'phenomena', 'the', 'persistence', 'of', 'spontaneous', 'magnetization', 'of', 'a', 'ferromagnetic', 'system', 'to', 'the', 'random', 'inclusion', 'of', 'antiferromagnetic', 'interactions', 'is', 'investigated', 'after', 'examing', 'the', 'static', 'properties', 'of', 'the', 'quenched', 'version', 'in', 'respect', 'to', 'the', 'random', 'antiferromagnetic', 'interactions', 'of', 'the', 'model', 'the', 'persistence', 'of', 'the', 'magnetization', 'is', 'analysed', 'also', 'in', 'the', 'annealed', 'approximation', 'and', 'the', 'difference', 'in', 'the', 'results', 'are', 'discussed']] | [-0.18588292443503937, 0.16661171445933481, -0.05674003999214619, 0.09538156185143938, 0.038688781360785164, -0.08086056121935448, 0.061214105617254974, 0.36533309871330855, -0.26807938310007257, -0.2276151443994604, 0.07385113215073943, -0.29626039166003465, -0.13506507398560644, 0.1404568929442515, 0.0199748195707798, 0.04663819470753272, -0.034258953568836056, 0.05844155481395622, -0.06926790114336957, -0.2706483729804556, 0.3014752091374248, 0.019726787774513165, 0.2935319716235002, 0.0699657111451961, 0.047558619678020476, 0.04575259919899206, 0.04859793094918132, 0.061889447050634774, -0.10851852832982938, 0.05968319896608591, 0.1647255896528562, 0.00010684554775555929, 0.25508747522408765, -0.39900555859009423, -0.19597657947490613, 0.057840984476109344, 0.09190877283612887, 0.1350098998347918, -0.011030329825977485, -0.3220097874229153, 0.11313390173017979, -0.13121669926991064, -0.16224471191720416, -0.060269060730934146, -0.022034183411548534, 0.06250127419829368, -0.26719381532476594, 0.10352457895525731, 0.13940947548796734, 0.09955585666000843, -0.08006384528552492, -0.04471904357119153, -0.05641306887070338, 0.12223802015185356, 0.08969829620793462, 0.0254737894795835, 0.12964193870623905, -0.15551348680009444, -0.14259330108451346, 0.3952067979673545, -0.0601243035060664, -0.16232679794542493, 0.1444177292085563, -0.14061415368070204, -0.1283725935779512, 0.13316233480038742, 0.15535728021214407, 0.0852325340732932, -0.17858211369564136, 0.09818340200232342, -0.007883195442457995, 0.13498409720758597, -0.004614275402079026, 0.03632531692584356, 0.14938562786827483, 0.23951846917470296, 0.023659402479728062, 0.22395029158952334, -0.08793936011071006, -0.17066229318579038, -0.2501279101179292, -0.12213413884242376, -0.21150546084158123, 0.03566263567656278, -0.12183471896355816, -0.19831877823298177, 0.42659402549266817, 0.2098459119598071, 0.1668585222369681, 0.00358998234073321, 0.2515113227814436, 0.07441389501094818, 0.016447316966950894, 0.014957563389713565, 0.24716511094321808, 0.2134236298004786, 0.125909884745876, -0.2476547359364728, 0.14459919221699238, 0.03878238831025859] |
711.3017 | Dynamic plasticity of beryllium in the inertial fuel fusion capsule
regime | The plastic response of beryllium was investigated during loading by
laser-induced shock waves, using surface velocimetry and in-situ x-ray
diffraction. Results from loading by thermal x-rays (hohlraum) were consistent
with more extensive studies using laser ablation. Strong elastic waves were
observed, up to ~1 km/s in free surface speed, with significant structure
before the arrival of the plastic shock. The magnitude and shape of the
precursor could be reproduced with a plasticity model based on dislocation
dynamics. Changes in lattice spacing measured from the x-ray diffraction
pattern gave a direct measurement of uniaxial compression in the elastic wave,
triaxial flow from the decay of the precursor, and triaxial compression in the
plastic shock; these were consistent with the velocity data. The dynamic
strength behavior deduced from the laser experiments was used to help interpret
surface velocity data around the onset of shock-induced melting. A model of
heterogeneous mixtures is being extended to treat anisotropic components, and
spall.
| cond-mat.mtrl-sci | the plastic response of beryllium was investigated during loading by laserinduced shock waves using surface velocimetry and insitu xray diffraction results from loading by thermal xrays hohlraum were consistent with more extensive studies using laser ablation strong elastic waves were observed up to 1 kms in free surface speed with significant structure before the arrival of the plastic shock the magnitude and shape of the precursor could be reproduced with a plasticity model based on dislocation dynamics changes in lattice spacing measured from the xray diffraction pattern gave a direct measurement of uniaxial compression in the elastic wave triaxial flow from the decay of the precursor and triaxial compression in the plastic shock these were consistent with the velocity data the dynamic strength behavior deduced from the laser experiments was used to help interpret surface velocity data around the onset of shockinduced melting a model of heterogeneous mixtures is being extended to treat anisotropic components and spall | [['the', 'plastic', 'response', 'of', 'beryllium', 'was', 'investigated', 'during', 'loading', 'by', 'laserinduced', 'shock', 'waves', 'using', 'surface', 'velocimetry', 'and', 'insitu', 'xray', 'diffraction', 'results', 'from', 'loading', 'by', 'thermal', 'xrays', 'hohlraum', 'were', 'consistent', 'with', 'more', 'extensive', 'studies', 'using', 'laser', 'ablation', 'strong', 'elastic', 'waves', 'were', 'observed', 'up', 'to', '1', 'kms', 'in', 'free', 'surface', 'speed', 'with', 'significant', 'structure', 'before', 'the', 'arrival', 'of', 'the', 'plastic', 'shock', 'the', 'magnitude', 'and', 'shape', 'of', 'the', 'precursor', 'could', 'be', 'reproduced', 'with', 'a', 'plasticity', 'model', 'based', 'on', 'dislocation', 'dynamics', 'changes', 'in', 'lattice', 'spacing', 'measured', 'from', 'the', 'xray', 'diffraction', 'pattern', 'gave', 'a', 'direct', 'measurement', 'of', 'uniaxial', 'compression', 'in', 'the', 'elastic', 'wave', 'triaxial', 'flow', 'from', 'the', 'decay', 'of', 'the', 'precursor', 'and', 'triaxial', 'compression', 'in', 'the', 'plastic', 'shock', 'these', 'were', 'consistent', 'with', 'the', 'velocity', 'data', 'the', 'dynamic', 'strength', 'behavior', 'deduced', 'from', 'the', 'laser', 'experiments', 'was', 'used', 'to', 'help', 'interpret', 'surface', 'velocity', 'data', 'around', 'the', 'onset', 'of', 'shockinduced', 'melting', 'a', 'model', 'of', 'heterogeneous', 'mixtures', 'is', 'being', 'extended', 'to', 'treat', 'anisotropic', 'components', 'and', 'spall']] | [-0.06478250696350506, 0.21167569492081964, -0.10197364804364599, 0.0019450597709732924, -0.05155945295218829, -0.07018315855852643, -0.005448907198514908, 0.45196312421541307, -0.2664956332415722, -0.2978737606150899, 0.06890472343375396, -0.28462283285394024, -0.07585246018341678, 0.20277272693065415, 0.03530168300791151, 0.101482017535218, 0.06163732789880982, -0.03741318108083882, -0.060836374798232014, -0.1588456362818077, 0.22857098008660232, 0.121005937236118, 0.3186075537210437, 0.032377962675538795, 0.056762156136790705, -0.005651551165327335, -0.014708642966846585, 0.027878509143331818, -0.16006977554220872, 0.04140719982642854, 0.19448446277321382, 0.01982303623074464, 0.16346082822301064, -0.5137313432208482, -0.2952643320391512, -0.01984507570956733, 0.09974392528414347, 0.08352600414436429, -0.0426556294120123, -0.2898522179579706, 0.02985534101582257, -0.13801929908419017, -0.1548740450103002, -0.006254305766456446, 0.007843135102729128, 0.09119293167089723, -0.2296149486095265, 0.1590761796743342, 0.0065234107807705735, 0.10256696819286247, -0.1512145940270008, -0.047696753416898524, -0.058498699158714834, 0.019564947148986683, 0.09766476426665095, 0.06270286298481523, 0.22256935712329712, -0.10371162907285675, -0.0536457523154866, 0.42191369104299953, -0.05752789897541664, -0.058193948042762886, 0.18632243647370605, -0.17492198826934977, -0.04316052519063803, 0.2790273831575919, 0.16899394949269333, 0.03793157756055711, -0.12998147821980735, -0.06318968690332666, 0.014108198478459795, 0.20420490032296248, 0.16052030263154227, -0.08844428448374295, 0.22011886559616609, 0.2125950522459806, -0.052370468364069375, 0.17133333240961954, -0.19963360877832173, -0.0038909510098350275, -0.24386488938864298, -0.09121548171395401, -0.14388079073719062, 0.02602811617608802, -0.10410925877821085, -0.1413611517700064, 0.34293474059605344, 0.09401250671844479, 0.16983701959904876, -0.042767071570002826, 0.27419211871619487, 0.06092635100220988, 0.062256497262745715, 0.04274131285596141, 0.31320149446748624, 0.19055473106426846, 0.12090488188087371, -0.26830217327364975, 0.12687015565776616, 0.005705425156885461] |
711.3018 | Higgs Self-Coupling as a Probe of Electroweak Phase Transition | We argue that, within a broad class of extensions of the Standard Model,
there is a tight corellation between the dynamics of the electroweak phase
transition and the cubic self-coupling of the Higgs boson: Models which exhibit
a strong first-order EWPT predict a large deviation of the Higgs self-coupling
from the Standard Model prediction, as long as no accidental cancellations
occur. Order-one deviations are typical. This shift would be observable at the
Large Hadron Collider if the proposed luminosity or energy upgrades are
realized, as well as at a future electron-positron collider such as the
proposed International Linear Collider. These measurements would provide a
laboratory test of the dynamics of the electroweak phase transition.
| hep-ph | we argue that within a broad class of extensions of the standard model there is a tight corellation between the dynamics of the electroweak phase transition and the cubic selfcoupling of the higgs boson models which exhibit a strong firstorder ewpt predict a large deviation of the higgs selfcoupling from the standard model prediction as long as no accidental cancellations occur orderone deviations are typical this shift would be observable at the large hadron collider if the proposed luminosity or energy upgrades are realized as well as at a future electronpositron collider such as the proposed international linear collider these measurements would provide a laboratory test of the dynamics of the electroweak phase transition | [['we', 'argue', 'that', 'within', 'a', 'broad', 'class', 'of', 'extensions', 'of', 'the', 'standard', 'model', 'there', 'is', 'a', 'tight', 'corellation', 'between', 'the', 'dynamics', 'of', 'the', 'electroweak', 'phase', 'transition', 'and', 'the', 'cubic', 'selfcoupling', 'of', 'the', 'higgs', 'boson', 'models', 'which', 'exhibit', 'a', 'strong', 'firstorder', 'ewpt', 'predict', 'a', 'large', 'deviation', 'of', 'the', 'higgs', 'selfcoupling', 'from', 'the', 'standard', 'model', 'prediction', 'as', 'long', 'as', 'no', 'accidental', 'cancellations', 'occur', 'orderone', 'deviations', 'are', 'typical', 'this', 'shift', 'would', 'be', 'observable', 'at', 'the', 'large', 'hadron', 'collider', 'if', 'the', 'proposed', 'luminosity', 'or', 'energy', 'upgrades', 'are', 'realized', 'as', 'well', 'as', 'at', 'a', 'future', 'electronpositron', 'collider', 'such', 'as', 'the', 'proposed', 'international', 'linear', 'collider', 'these', 'measurements', 'would', 'provide', 'a', 'laboratory', 'test', 'of', 'the', 'dynamics', 'of', 'the', 'electroweak', 'phase', 'transition']] | [-0.10044986946689607, 0.2073320552327596, -0.06778891765166371, 0.159316484901881, -0.06603872480975316, -0.1701943190537591, 0.013502271654315095, 0.30967988387013956, -0.24892017030181873, -0.29991449607305426, 0.08914438258666973, -0.281778911573697, -0.061774603373461724, 0.16436744426311184, 0.09182436885600663, 0.0949686723225544, 0.06730109655125215, 0.03172608321780891, -0.09775613155834113, -0.204223493404637, 0.23865687006886685, 0.10068319654875163, 0.20809829542495772, 0.07269413199325182, 0.1028298922212778, -0.03763144922986693, 0.05137605653391673, 0.002251362180815334, -0.0778485658204217, 0.045061851955694766, 0.26304906826050756, 0.08347433432936668, 0.20824888126051003, -0.3422796145180422, -0.18018158880449767, 0.1948151292106285, 0.07826075367464692, 0.12926614771502307, -0.0779970297115995, -0.3094096104902899, 0.04591438976740794, -0.23462199203801892, -0.10961427688763468, -0.05432321445035657, -0.04923735110118029, -0.04237420655028746, -0.3283462224165555, 0.06922392899467222, 0.0015522374542825648, 0.06746374220851051, 0.030736382214138203, -0.09332281717128095, -0.07660103937718127, 0.023282561589246697, 0.10962428792536391, 0.016314185117330172, 0.13891700860854667, -0.17624942450454475, -0.18000261221015085, 0.448930991434418, -0.12123204317702128, -0.07414795155018832, 0.19375888892012624, -0.2024775795284164, -0.1438362822781391, 0.1296864329235612, 0.24726478265087426, 0.04413768319429549, -0.10270778976990717, 0.15944229833631307, -0.035873169062939365, 0.16971836775640206, 0.041434690078094076, 0.06875289343936221, 0.3084958498489804, 0.22470667054547014, 0.047021863413397716, 0.06729336148766653, -0.08623367887550751, -0.0883581068127754, -0.4778902839902228, -0.1043534935410835, -0.08870637170409998, 0.03407211615436142, -0.06496951734300484, -0.17193798541989738, 0.36153303555303573, 0.14859630326550882, 0.26450333220933653, 0.03464510462522935, 0.26508628810236673, 0.1201912743323771, 0.1308349079709496, 0.004390240392562175, 0.3793850148146131, 0.07966833728143072, 0.12410980458907057, -0.2219161401663503, 0.06612500326246419, 0.05238939332157637] |
711.3019 | Quantum-Space Attacks | Theoretical quantum key distribution (QKD) protocols commonly rely on the use
of qubits (quantum bits). In reality, however, due to practical limitations,
the legitimate users are forced to employ a larger quantum (Hilbert) space, say
a quhexit (quantum six-dimensional) space, or even a much larger quantum
Hilbert space. Various specific attacks exploit of these limitations. Although
security can still be proved in some very special cases, a general framework
that considers such realistic QKD protocols, as well as} attacks on such
protocols, is still missing.
We describe a general method of attacking realistic QKD protocols, which we
call the `quantum-space attack'. The description is based on assessing the
enlarged quantum space actually used by a protocol, the `quantum space of the
protocol'. We demonstrate these new methods by classifying various (known)
recent attacks against several QKD schemes, and by analyzing a novel attack on
interferometry-based QKD.
| quant-ph | theoretical quantum key distribution qkd protocols commonly rely on the use of qubits quantum bits in reality however due to practical limitations the legitimate users are forced to employ a larger quantum hilbert space say a quhexit quantum sixdimensional space or even a much larger quantum hilbert space various specific attacks exploit of these limitations although security can still be proved in some very special cases a general framework that considers such realistic qkd protocols as well as attacks on such protocols is still missing we describe a general method of attacking realistic qkd protocols which we call the quantumspace attack the description is based on assessing the enlarged quantum space actually used by a protocol the quantum space of the protocol we demonstrate these new methods by classifying various known recent attacks against several qkd schemes and by analyzing a novel attack on interferometrybased qkd | [['theoretical', 'quantum', 'key', 'distribution', 'qkd', 'protocols', 'commonly', 'rely', 'on', 'the', 'use', 'of', 'qubits', 'quantum', 'bits', 'in', 'reality', 'however', 'due', 'to', 'practical', 'limitations', 'the', 'legitimate', 'users', 'are', 'forced', 'to', 'employ', 'a', 'larger', 'quantum', 'hilbert', 'space', 'say', 'a', 'quhexit', 'quantum', 'sixdimensional', 'space', 'or', 'even', 'a', 'much', 'larger', 'quantum', 'hilbert', 'space', 'various', 'specific', 'attacks', 'exploit', 'of', 'these', 'limitations', 'although', 'security', 'can', 'still', 'be', 'proved', 'in', 'some', 'very', 'special', 'cases', 'a', 'general', 'framework', 'that', 'considers', 'such', 'realistic', 'qkd', 'protocols', 'as', 'well', 'as', 'attacks', 'on', 'such', 'protocols', 'is', 'still', 'missing', 'we', 'describe', 'a', 'general', 'method', 'of', 'attacking', 'realistic', 'qkd', 'protocols', 'which', 'we', 'call', 'the', 'quantumspace', 'attack', 'the', 'description', 'is', 'based', 'on', 'assessing', 'the', 'enlarged', 'quantum', 'space', 'actually', 'used', 'by', 'a', 'protocol', 'the', 'quantum', 'space', 'of', 'the', 'protocol', 'we', 'demonstrate', 'these', 'new', 'methods', 'by', 'classifying', 'various', 'known', 'recent', 'attacks', 'against', 'several', 'qkd', 'schemes', 'and', 'by', 'analyzing', 'a', 'novel', 'attack', 'on', 'interferometrybased', 'qkd']] | [-0.16861447197152302, 0.09051457564217141, -0.07848646607534546, 0.12928348046625615, -0.02329651876223377, -0.28364716909062637, 0.07511284920070062, 0.34506106047774665, -0.21225006446345812, -0.25983429843128963, 0.09418973171624304, -0.19023453972153626, -0.17433471406628895, 0.2965798410182793, -0.18767174487260896, 0.1670474627171643, 0.03547448504024134, -0.002773898213894831, -0.06426921935700294, -0.29746750415425693, 0.37675399899793166, 0.02306091054358856, 0.3450546071399003, 0.018304701195221342, 0.08473102120398027, 0.017179019056331728, -0.0058791879855562, -0.036783988773613094, -0.12435442199729449, 0.09913749997778926, 0.30254360602702945, 0.16798249170986107, 0.32973327580839396, -0.42801625858474934, -0.26402542227879167, 0.10511331967831615, 0.13856724174305177, 0.20428547604872924, -0.042625096030759674, -0.3693020207251215, 0.07023085186180349, -0.24454310714241323, -0.07401275159079684, -0.1354798143373854, -0.05449498870358285, 0.0022059491432931586, -0.18874489128292124, -0.04553983829423992, 0.02593645096526921, 0.06462307278222094, 0.058689711596040674, -0.043792976254028164, 0.06579598894717896, 0.11130461514726954, -0.03712719046678911, -0.0180996196690507, 0.16433222426308525, -0.09361052605608064, -0.18005158634898383, 0.399706816928099, 0.02866377764358832, -0.20871453046048474, 0.1517971376257871, -0.03252000076301758, -0.16135415369838788, 0.045019773571564455, 0.175785589892055, 0.11766695240900542, -0.11109600884002349, 0.06227213380326349, -0.050433779219424144, 0.17878775007557124, 0.027531209713844065, 0.15620095760500086, 0.1449674981025358, 0.14253785369510297, 0.10401713240005644, 0.09479157117877751, -0.07040175314371784, -0.18967456360890841, -0.28072392736794427, -0.18940069272260493, -0.25426867140372955, 0.10115242119516349, -0.05802278665285283, -0.1189334355100679, 0.36308301577486823, 0.20587488453596356, 0.158728429501126, 0.007716882706315826, 0.4212143391357838, 0.03037086517562986, 0.07134145700062315, 0.11339734851369737, 0.2103351222898103, 0.08408711274549002, 0.06884144223941904, -0.11796048090521556, 0.15511446926797767, 0.004553374158503074] |
711.302 | A Singlet-pairing superconductor is always also a
super-spin-current-conductor | It is shown that, in a conductor carrying a moderate spin current, singlet
pairing can still take place almost as effectively as without a spin current.
The system will still be fully gapped for all spin-up and -down single-particle
excitations, with no depaired electrons. All thermodynamic properties will be
practically the same as without the spin current. All universality relations
and laws of corresponding states found in the theory of Bardeen, Cooper, and
Schrieffer should remain valid. Thus a singlet-pairing superconductor can
always carry a persistent and dissipation-less spin-current. A heuristic
argument to support this conclusion is also given, as well as two possible
experimental tests of this prediction.
| cond-mat.supr-con | it is shown that in a conductor carrying a moderate spin current singlet pairing can still take place almost as effectively as without a spin current the system will still be fully gapped for all spinup and down singleparticle excitations with no depaired electrons all thermodynamic properties will be practically the same as without the spin current all universality relations and laws of corresponding states found in the theory of bardeen cooper and schrieffer should remain valid thus a singletpairing superconductor can always carry a persistent and dissipationless spincurrent a heuristic argument to support this conclusion is also given as well as two possible experimental tests of this prediction | [['it', 'is', 'shown', 'that', 'in', 'a', 'conductor', 'carrying', 'a', 'moderate', 'spin', 'current', 'singlet', 'pairing', 'can', 'still', 'take', 'place', 'almost', 'as', 'effectively', 'as', 'without', 'a', 'spin', 'current', 'the', 'system', 'will', 'still', 'be', 'fully', 'gapped', 'for', 'all', 'spinup', 'and', 'down', 'singleparticle', 'excitations', 'with', 'no', 'depaired', 'electrons', 'all', 'thermodynamic', 'properties', 'will', 'be', 'practically', 'the', 'same', 'as', 'without', 'the', 'spin', 'current', 'all', 'universality', 'relations', 'and', 'laws', 'of', 'corresponding', 'states', 'found', 'in', 'the', 'theory', 'of', 'bardeen', 'cooper', 'and', 'schrieffer', 'should', 'remain', 'valid', 'thus', 'a', 'singletpairing', 'superconductor', 'can', 'always', 'carry', 'a', 'persistent', 'and', 'dissipationless', 'spincurrent', 'a', 'heuristic', 'argument', 'to', 'support', 'this', 'conclusion', 'is', 'also', 'given', 'as', 'well', 'as', 'two', 'possible', 'experimental', 'tests', 'of', 'this', 'prediction']] | [-0.15798317559475694, 0.22137808448041216, -0.09172632303537476, 0.11310331310666756, -0.06551877686053241, -0.1814330611890609, 0.07909721352155705, 0.3272445305942669, -0.22343358896894877, -0.27673097642206956, 0.05648669643848793, -0.27387742220782973, -0.07384580234492864, 0.20643250983627087, 0.021858488277899563, 0.029609278451070326, 0.005832956958596313, 0.01635297527750356, -0.09863581484313969, -0.2230830056840605, 0.26110833799551936, 0.011141561798392496, 0.2971181046610715, 0.10516312149771993, 0.03667129442916004, 0.008694349102453765, 0.07957776464145938, 0.05188488827403122, -0.057414504736055805, 0.002083371378964138, 0.299527152056951, 0.01032739903333537, 0.20773218645620237, -0.4532057176036504, -0.20916993965591313, 0.07833187840878963, 0.18931610246430314, 0.19107336083153656, -0.024422375744832425, -0.2494190182246336, 0.09860876378167523, -0.24366074706291044, -0.14021769342858584, -0.14418210659107758, 0.0159523927247784, -0.027731811183444952, -0.2299860717446774, 0.07364450788542996, 0.14093490975904663, -0.0025541626275816095, -0.08266065277398453, -0.10122860433563692, -0.07851321565696474, 0.1050105671304355, 0.059436895128407885, 0.06649284978149407, 0.10622172267817029, -0.1419765963774482, -0.14566008964929422, 0.35310604962853526, -0.028162762725089222, -0.20223220436910697, 0.17323814536265414, -0.15871770726516843, -0.08256057086144361, 0.08923473699795885, 0.045436606736567485, 0.07062076715274004, -0.18025194256942412, 0.048305761246352434, -0.06727840888224235, 0.15752175968106186, 0.015012399235808658, 0.07193787387730298, 0.3354012875608382, 0.14673444646872033, 0.07384471012997108, 0.07909617248982397, -0.05736784731815441, -0.07334795433850617, -0.3003587606234835, -0.1737998089808629, -0.2165151883478473, 0.11039429342528002, 0.0019669555167137823, -0.15990281359740072, 0.3820755939499193, 0.16086531504817786, 0.18777873626816163, 0.03474924647155295, 0.2731594287474221, 0.11575810215542726, 0.08091956055872655, 0.06175327707304183, 0.25928666185023724, 0.12401781309131157, 0.08551484379712321, -0.22631766162214612, 0.0703875471991615, 0.0028357453486207154] |
711.3021 | Emergence of quasi-units in the one dimensional Zhang model | We study the Zhang model of sandpile on a one dimensional chain of length
$L$, where a random amount of energy is added at a randomly chosen site at each
time step. We show that in spite of this randomness in the input energy, the
probability distribution function of energy at a site in the steady state is
sharply peaked, and the width of the peak decreases as $ {L}^{-1/2}$ for large
$L$. We discuss how the energy added at one time is distributed among different
sites by topplings with time. We relate this distribution to the time-dependent
probability distribution of the position of a marked grain in the one
dimensional Abelian model with discrete heights. We argue that in the large $L$
limit, the variance of energy at site $x$ has a scaling form $L^{-1}g(x/L)$,
where $g(\xi)$ varies as $\log(1/\xi)$ for small $\xi$, which agrees very well
with the results from numerical simulations.
| cond-mat.stat-mech | we study the zhang model of sandpile on a one dimensional chain of length l where a random amount of energy is added at a randomly chosen site at each time step we show that in spite of this randomness in the input energy the probability distribution function of energy at a site in the steady state is sharply peaked and the width of the peak decreases as l12 for large l we discuss how the energy added at one time is distributed among different sites by topplings with time we relate this distribution to the timedependent probability distribution of the position of a marked grain in the one dimensional abelian model with discrete heights we argue that in the large l limit the variance of energy at site x has a scaling form l1gxl where gxi varies as log1xi for small xi which agrees very well with the results from numerical simulations | [['we', 'study', 'the', 'zhang', 'model', 'of', 'sandpile', 'on', 'a', 'one', 'dimensional', 'chain', 'of', 'length', 'l', 'where', 'a', 'random', 'amount', 'of', 'energy', 'is', 'added', 'at', 'a', 'randomly', 'chosen', 'site', 'at', 'each', 'time', 'step', 'we', 'show', 'that', 'in', 'spite', 'of', 'this', 'randomness', 'in', 'the', 'input', 'energy', 'the', 'probability', 'distribution', 'function', 'of', 'energy', 'at', 'a', 'site', 'in', 'the', 'steady', 'state', 'is', 'sharply', 'peaked', 'and', 'the', 'width', 'of', 'the', 'peak', 'decreases', 'as', 'l12', 'for', 'large', 'l', 'we', 'discuss', 'how', 'the', 'energy', 'added', 'at', 'one', 'time', 'is', 'distributed', 'among', 'different', 'sites', 'by', 'topplings', 'with', 'time', 'we', 'relate', 'this', 'distribution', 'to', 'the', 'timedependent', 'probability', 'distribution', 'of', 'the', 'position', 'of', 'a', 'marked', 'grain', 'in', 'the', 'one', 'dimensional', 'abelian', 'model', 'with', 'discrete', 'heights', 'we', 'argue', 'that', 'in', 'the', 'large', 'l', 'limit', 'the', 'variance', 'of', 'energy', 'at', 'site', 'x', 'has', 'a', 'scaling', 'form', 'l1gxl', 'where', 'gxi', 'varies', 'as', 'log1xi', 'for', 'small', 'xi', 'which', 'agrees', 'very', 'well', 'with', 'the', 'results', 'from', 'numerical', 'simulations']] | [-0.11985223302124254, 0.17016441739181254, -0.0468844425346431, 0.04766491306894605, 0.035288091187692244, -0.12331346200088299, 0.07982978644697551, 0.3659804543381594, -0.2782441388988337, -0.28794470014951085, 0.05759537899296188, -0.2892323876946967, -0.04615668535991171, 0.1560819088635559, -0.011714777437390278, -0.0037346509229761876, 0.0261886710785206, 0.10027946363702811, -0.03717156426382825, -0.2094303306226082, 0.32075825333209795, 0.09456019820213712, 0.2770647190492724, 0.02453481544746666, 0.11025605720177983, 0.00420401033649332, -0.00092045733295011, 0.025952722050792333, -0.14749980723804915, 0.0440882561821452, 0.19754994828839917, 0.02045931949878469, 0.28683273744035437, -0.3855537229174415, -0.1917180354708485, 0.11747573860396711, 0.10295510805051601, 0.10753148232219703, -0.006114520367685187, -0.20730730545836568, 0.08330688366222362, -0.14137747294781422, -0.1897916294147094, 0.04102337362540775, 0.06948407086241522, 0.08161727824889814, -0.2608146366805134, 0.09945903724407938, 0.0243147967023997, 0.027458391519300393, -0.032234798910231975, -0.12812163884942698, -0.07187433390175023, 0.1088763025923885, 0.07046525456652736, 0.06514633475457447, 0.09464701225006619, -0.11602093100932115, -0.06075063655276271, 0.3532737730601371, -0.09112365368679659, -0.17458826535079158, 0.1727280725866852, -0.1942034204465812, -0.1534253774142966, 0.14736399547018061, 0.15749618341388422, 0.09626136079356568, -0.06391412622313823, 0.11504920864044473, -0.06345568380676309, 0.17855145713770823, 0.04843990777353972, 0.021909493231368777, 0.1753573902506406, 0.1874202549440589, 0.07156383598359017, 0.15837371010265455, -0.1434526609724067, -0.10719054882470148, -0.3360147069868268, -0.14904843739832177, -0.2489885045184649, 0.07927807367141575, -0.11463628041344796, -0.13892429898684192, 0.40342027509418493, 0.12283672721396395, 0.27592258435667844, 0.08391619340550549, 0.22994379126867712, 0.15476847567829913, 0.05514759051348299, 0.09226016694408477, 0.13559077424151417, 0.07833864708316962, 0.09715942740872108, -0.20141899118983242, 0.06555362084313043, 0.05731265963554777] |
711.3022 | Search for Ultra High-Energy Neutrinos with AMANDA-II | A search for diffuse neutrinos with energies in excess of 10^5 GeV is
conducted with AMANDA-II data recorded between 2000 and 2002. Above 10^7 GeV,
the Earth is essentially opaque to neutrinos. This fact, combined with the
limited overburden of the AMANDA-II detector (roughly 1.5 km), concentrates
these ultra high-energy neutrinos at the horizon. The primary background for
this analysis is bundles of downgoing, high-energy muons from the interaction
of cosmic rays in the atmosphere. No statistically significant excess above the
expected background is seen in the data, and an upper limit is set on the
diffuse all-flavor neutrino flux of E^{-2} $\Phi$_{90%CL} < 2.7 $\times$
10^{-7} GeV cm^{-2} s^{-1} sr^{-1} valid over the energy range of 2 $\times$
10^5 GeV to 10^9 GeV. A number of models which predict neutrino fluxes from
active galactic nuclei are excluded at the 90% confidence level.
| astro-ph | a search for diffuse neutrinos with energies in excess of 105 gev is conducted with amandaii data recorded between 2000 and 2002 above 107 gev the earth is essentially opaque to neutrinos this fact combined with the limited overburden of the amandaii detector roughly 15 km concentrates these ultra highenergy neutrinos at the horizon the primary background for this analysis is bundles of downgoing highenergy muons from the interaction of cosmic rays in the atmosphere no statistically significant excess above the expected background is seen in the data and an upper limit is set on the diffuse allflavor neutrino flux of e2 phi_90cl 27 times 107 gev cm2 s1 sr1 valid over the energy range of 2 times 105 gev to 109 gev a number of models which predict neutrino fluxes from active galactic nuclei are excluded at the 90 confidence level | [['a', 'search', 'for', 'diffuse', 'neutrinos', 'with', 'energies', 'in', 'excess', 'of', '105', 'gev', 'is', 'conducted', 'with', 'amandaii', 'data', 'recorded', 'between', '2000', 'and', '2002', 'above', '107', 'gev', 'the', 'earth', 'is', 'essentially', 'opaque', 'to', 'neutrinos', 'this', 'fact', 'combined', 'with', 'the', 'limited', 'overburden', 'of', 'the', 'amandaii', 'detector', 'roughly', '15', 'km', 'concentrates', 'these', 'ultra', 'highenergy', 'neutrinos', 'at', 'the', 'horizon', 'the', 'primary', 'background', 'for', 'this', 'analysis', 'is', 'bundles', 'of', 'downgoing', 'highenergy', 'muons', 'from', 'the', 'interaction', 'of', 'cosmic', 'rays', 'in', 'the', 'atmosphere', 'no', 'statistically', 'significant', 'excess', 'above', 'the', 'expected', 'background', 'is', 'seen', 'in', 'the', 'data', 'and', 'an', 'upper', 'limit', 'is', 'set', 'on', 'the', 'diffuse', 'allflavor', 'neutrino', 'flux', 'of', 'e2', 'phi_90cl', '27', 'times', '107', 'gev', 'cm2', 's1', 'sr1', 'valid', 'over', 'the', 'energy', 'range', 'of', '2', 'times', '105', 'gev', 'to', '109', 'gev', 'a', 'number', 'of', 'models', 'which', 'predict', 'neutrino', 'fluxes', 'from', 'active', 'galactic', 'nuclei', 'are', 'excluded', 'at', 'the', '90', 'confidence', 'level']] | [-0.07836149896144973, 0.2568257966146727, 0.03454229915646691, 0.18360125621473614, 0.012057260910696383, -0.02018132234480998, 0.073894259437311, 0.3680990506690128, -0.12719692168129831, -0.4471667006047086, 0.02106891753868669, -0.3846871176047634, 0.1154885549190725, 0.21724031995057214, 0.027650540212420284, -0.02924919245576367, 0.05799519482848122, 0.018708294433383073, -0.018576671191035433, -0.20794552625057863, 0.17714739670640134, 0.19579450361899609, 0.2230145292924651, 0.09296300264854804, 0.14045882941857774, -0.08420205898153602, -0.04042313368132351, -0.13187506661258294, -0.09231797701733663, 0.06482231171953604, 0.2584550259452437, 0.0995012734329711, 0.11230906290629654, -0.3702336270230036, -0.19254988597223785, 0.17073093718809493, 0.11967755235229613, -0.04243785396948166, -0.03025132488766487, -0.3241247878614681, 0.08935097598715137, -0.18501609875589398, -0.1383907229223467, 0.11141520066860508, 0.01346840675761725, -0.04979668476400857, -0.23106540795679845, 0.13242673109358188, -0.03016464160557123, 0.05925478801896617, -0.0807405153540432, -0.17332006941453706, -0.0039200959842757765, -0.020239541151871283, 0.1352939264624254, 0.07275562563102778, 0.19491189940921724, -0.09488744498725901, -0.05770335316076769, 0.38231185208081353, -0.08475123212758637, -0.02851344980893934, 0.18056322692675478, -0.22491014212805857, -0.1350701166323472, 0.3291238731116796, 0.18178660529195034, 0.06062341723855294, -0.20262409347697352, 0.0947496980777116, -0.06419603797402365, 0.2092237946699565, 0.07578535172229646, -0.010828596352374986, 0.2732849039388358, 0.1996547900543198, 0.09302898084229612, -0.022223368914573327, -0.24135157010016026, 0.0293699028168587, -0.3565926769870525, -0.04491161244610945, -0.10015851441367879, 0.1462454371334298, -0.10546536705310536, -0.04235195827089144, 0.3496747797302215, 0.1426271597214096, 0.23952320960502252, 0.02372306356857141, 0.2734117952459459, 0.07166558174766907, 0.016599609136766363, 0.13569778171599123, 0.36491280763429845, 0.13205947438981516, 0.12395795873045948, -0.10694589099932647, -0.0520618147520573, -0.014894879350425504] |
711.3023 | Stacky Abelianization of an Algebraic Group | Let G be a connected algebraic group and let [G,G] be its commutator
subgroup. We prove a conjecture of Drinfeld about the existence of a connected
etale group cover H of [G,G], characterized by the following properties: every
central extension of G, by a finite etale group scheme, splits over H, and the
commutator map of G lifts to H. We prove, moreover, that the quotient stack of
G by the natural action of H is the universal Deligne-Mumford Picard stack to
which G maps.
| math.AG | let g be a connected algebraic group and let gg be its commutator subgroup we prove a conjecture of drinfeld about the existence of a connected etale group cover h of gg characterized by the following properties every central extension of g by a finite etale group scheme splits over h and the commutator map of g lifts to h we prove moreover that the quotient stack of g by the natural action of h is the universal delignemumford picard stack to which g maps | [['let', 'g', 'be', 'a', 'connected', 'algebraic', 'group', 'and', 'let', 'gg', 'be', 'its', 'commutator', 'subgroup', 'we', 'prove', 'a', 'conjecture', 'of', 'drinfeld', 'about', 'the', 'existence', 'of', 'a', 'connected', 'etale', 'group', 'cover', 'h', 'of', 'gg', 'characterized', 'by', 'the', 'following', 'properties', 'every', 'central', 'extension', 'of', 'g', 'by', 'a', 'finite', 'etale', 'group', 'scheme', 'splits', 'over', 'h', 'and', 'the', 'commutator', 'map', 'of', 'g', 'lifts', 'to', 'h', 'we', 'prove', 'moreover', 'that', 'the', 'quotient', 'stack', 'of', 'g', 'by', 'the', 'natural', 'action', 'of', 'h', 'is', 'the', 'universal', 'delignemumford', 'picard', 'stack', 'to', 'which', 'g', 'maps']] | [-0.2385130615959711, 0.1043892252697226, -0.14763101920047228, -0.0039821258403689545, -0.1201033001546474, -0.14770588806337293, 0.03820955548161531, 0.3431884653866291, -0.40429017377250337, -0.22299096049631342, 0.07779619044021649, -0.21430708765709663, -0.06978075652766753, 0.2118907154044684, -0.16227249161011595, -0.12021677735713585, 0.06758833656854489, 0.14737180248998544, -0.05305239251157379, -0.281108424179119, 0.3946032448069138, -0.1001800503636546, 0.19051971085753072, 0.03785568918375408, 0.11717523250400144, 0.02053014146273627, -0.005697794198332464, -0.0016094449085786063, -0.15001494674986188, 0.09714856573709232, 0.3160065042402814, 0.021450744980179213, 0.2366368840996395, -0.3137715165376636, -0.15929011684185004, 0.24397508679505656, 0.134049777018235, -0.11822894101222868, 0.02468857037122635, -0.2856424624757732, 0.19091612677473355, -0.1918687800055041, -0.1261974845574621, -0.015775730428011978, 0.1550519807921613, -0.01328661503160701, -0.237621337975211, -0.05780541116700453, 0.08741424674277797, 0.11677134659360437, 0.02318763404071112, -0.05573017435997506, -0.1500281521173961, 0.072537477862309, -0.07020651677568608, 0.1117134506252649, 0.12747244501746643, -0.08559002225451609, -0.09189483921098358, 0.39652989461798877, -0.15783125257448238, -0.1105622754596612, 0.0496403664460077, -0.17731395668952782, -0.1501562122912968, 0.11562186138266149, 0.04853257611941765, 0.18721616373342626, 0.04370975700371406, 0.28000862000044435, -0.16947559540105217, 0.06723063087419552, 0.05253765908453394, -0.06005916682565037, 0.08958257214878412, 0.0825704868636368, 0.15693129445700085, 0.11811237542013474, 0.03584771217668758, 0.13299095282221543, -0.40708462438162635, -0.1778859084198142, -0.10637381455915816, 0.2132702152518665, -0.12399857433149865, -0.14132610720527522, 0.4139374773389136, 0.0715374535512049, 0.1767204157953315, 0.11389148245319067, 0.1685498516568366, 0.06840091886765817, 0.0802523366339943, 0.12783549604937433, 0.02919314532157253, 0.3457467198892332, -0.19182670958586695, -0.1747152537600521, -0.04106487401158494, 0.27066938407883484] |
711.3024 | Progress in measuring neutrino quasielastic interactions | This is an exciting time for folks who are looking at neutrino cross
sections, and the especially important quasielastic interaction. We are able to
inspect several recent results from K2K and MiniBooNE and are looking forward
to a couple more high statistics measurements of neutrino and anti-neutrino
interactions. There is additional interest because of the need for this cross
section information for current and upcoming neutrino oscillation experiments.
This paper is a brief review of our current understanding and some puzzles when
we compare the recent results with past measurements. I articulate some of the
short term challenges facing experimentalists, neutrino event generators, and
theoretical work on the quasielastic interaction.
| hep-ex | this is an exciting time for folks who are looking at neutrino cross sections and the especially important quasielastic interaction we are able to inspect several recent results from k2k and miniboone and are looking forward to a couple more high statistics measurements of neutrino and antineutrino interactions there is additional interest because of the need for this cross section information for current and upcoming neutrino oscillation experiments this paper is a brief review of our current understanding and some puzzles when we compare the recent results with past measurements i articulate some of the short term challenges facing experimentalists neutrino event generators and theoretical work on the quasielastic interaction | [['this', 'is', 'an', 'exciting', 'time', 'for', 'folks', 'who', 'are', 'looking', 'at', 'neutrino', 'cross', 'sections', 'and', 'the', 'especially', 'important', 'quasielastic', 'interaction', 'we', 'are', 'able', 'to', 'inspect', 'several', 'recent', 'results', 'from', 'k2k', 'and', 'miniboone', 'and', 'are', 'looking', 'forward', 'to', 'a', 'couple', 'more', 'high', 'statistics', 'measurements', 'of', 'neutrino', 'and', 'antineutrino', 'interactions', 'there', 'is', 'additional', 'interest', 'because', 'of', 'the', 'need', 'for', 'this', 'cross', 'section', 'information', 'for', 'current', 'and', 'upcoming', 'neutrino', 'oscillation', 'experiments', 'this', 'paper', 'is', 'a', 'brief', 'review', 'of', 'our', 'current', 'understanding', 'and', 'some', 'puzzles', 'when', 'we', 'compare', 'the', 'recent', 'results', 'with', 'past', 'measurements', 'i', 'articulate', 'some', 'of', 'the', 'short', 'term', 'challenges', 'facing', 'experimentalists', 'neutrino', 'event', 'generators', 'and', 'theoretical', 'work', 'on', 'the', 'quasielastic', 'interaction']] | [-0.07522415432639801, 0.16968119448085253, -0.034578725787154825, 0.1414325638589534, -0.11577790388202464, -0.13524453019384633, 0.009302570536436345, 0.36608902012759986, -0.21083650072105228, -0.2995583426207304, 0.07737755504521457, -0.4151382678230716, -0.10465571878647262, 0.23959155949679287, -0.0022322638298977503, 0.05612962311345406, 0.13863589578540997, 0.01701879043301398, -0.05892389003208585, -0.2541846642461182, 0.29499339671085845, 0.12798904143273832, 0.24270607983185485, 0.1556389783636074, 0.06650972070426427, 0.007966960564425045, -0.12635354767976836, -0.03454436320197684, -0.14116043420508503, 0.12820952828465537, 0.3169260498739525, 0.13096166173080828, 0.20349044093692845, -0.472094571641223, -0.15053648447448556, 0.1135742505334995, 0.1256129920609634, 0.14045483958140142, -0.12540594602641333, -0.2949952339076183, 0.03139993013306098, -0.19765091392804277, -0.07873241017514374, -0.06569005234844305, 0.02278094301423566, 0.024106954258273947, -0.24694154673806307, 0.024187202385457404, 0.011116283187981356, 0.03017806639386849, -0.03745969224043868, -0.16396423940631477, 0.08676119570578025, 0.1171445294571723, 0.15619726141449064, 0.018349886557552965, 0.08334688114171679, -0.18762793419247661, -0.12731781234456735, 0.3583329690704969, -0.012504350027831441, -0.12101780924607407, 0.15024199172727426, -0.18494868549010293, -0.14184494668152184, 0.09362351335585117, 0.17237119884759358, 0.04646331835749813, -0.1857761587933055, 0.04404202546892603, -0.04331860179716552, 0.11545082287947563, 0.035963800826787275, 0.016245450456203386, 0.24368399424393747, 0.25318641925696284, 0.04139448365365917, -0.03958695822141387, -0.13760233417111026, -0.04093925761566921, -0.3694271621886979, -0.09920905709097332, -0.06269492453429848, 0.06611787486525084, 0.026380693185307214, -0.0568502767350186, 0.41144088210368696, 0.21831627917391333, 0.23694700747516684, -0.004283126208677211, 0.34805795353921976, 0.06532377077330073, 0.011211800909685817, 0.019579082740132103, 0.28291465575140057, 0.12037788748910482, 0.1608887151095339, -0.173700924270617, 0.07448816502424464, -0.011355027844282713] |
711.3025 | Synoptic studies of seventeen blazars detected in very high-energy
gamma-rays | Since 2002, the number of detected blazars at gamma-ray energies above 100
GeV has more than doubled. I study 17 blazars currently known to emit E>100 GeV
gamma rays. Their intrinsic energy spectra are reconstructed by removing
extragalactic background light attenuation effects. Luminosity and spectral
slope in the E>100 GeV region are then compared and correlated among each
other, with X-ray, optical and radio data, and with the estimated black hole
(BH) masses of the respective host galaxies.
According to expectations from synchrotron self-Compton emission models, a
correlation on the 3.6-sigma significance level between gamma-ray and X-ray
fluxes is found, while correlations between gamma-ray and optical/radio fluxes
are less pronounced. Further, a general hardening of the E>100 GeV spectra with
increasing gamma-ray luminosity is observed. This goes in line with a
correlation of the gamma-ray luminosity and the synchrotron peak frequency,
which is also seen. Tests for possible selection effects reveal a hardening of
the spectra with increasing redshift. The gamma-ray emission might depend on
the mass of the central BH. The studied blazars show no correlation of the BH
masses with the spectral index and the luminosity in the E>100 GeV region.
Also temporal properties of the X-ray and E>100 GeV gamma-ray flux are
considered. No general trends are found, except that the blazars with the most
massive BHs do not show particularly high duty cycles. In general, VHE flare
time-scales are not found to scale with the BH mass.
As a specific application of the luminosity study, a constraint for the still
undetermined redshift of the blazar PG 1553+113 is discussed.
| astro-ph | since 2002 the number of detected blazars at gammaray energies above 100 gev has more than doubled i study 17 blazars currently known to emit e100 gev gamma rays their intrinsic energy spectra are reconstructed by removing extragalactic background light attenuation effects luminosity and spectral slope in the e100 gev region are then compared and correlated among each other with xray optical and radio data and with the estimated black hole bh masses of the respective host galaxies according to expectations from synchrotron selfcompton emission models a correlation on the 36sigma significance level between gammaray and xray fluxes is found while correlations between gammaray and opticalradio fluxes are less pronounced further a general hardening of the e100 gev spectra with increasing gammaray luminosity is observed this goes in line with a correlation of the gammaray luminosity and the synchrotron peak frequency which is also seen tests for possible selection effects reveal a hardening of the spectra with increasing redshift the gammaray emission might depend on the mass of the central bh the studied blazars show no correlation of the bh masses with the spectral index and the luminosity in the e100 gev region also temporal properties of the xray and e100 gev gammaray flux are considered no general trends are found except that the blazars with the most massive bhs do not show particularly high duty cycles in general vhe flare timescales are not found to scale with the bh mass as a specific application of the luminosity study a constraint for the still undetermined redshift of the blazar pg 1553113 is discussed | [['since', '2002', 'the', 'number', 'of', 'detected', 'blazars', 'at', 'gammaray', 'energies', 'above', '100', 'gev', 'has', 'more', 'than', 'doubled', 'i', 'study', '17', 'blazars', 'currently', 'known', 'to', 'emit', 'e100', 'gev', 'gamma', 'rays', 'their', 'intrinsic', 'energy', 'spectra', 'are', 'reconstructed', 'by', 'removing', 'extragalactic', 'background', 'light', 'attenuation', 'effects', 'luminosity', 'and', 'spectral', 'slope', 'in', 'the', 'e100', 'gev', 'region', 'are', 'then', 'compared', 'and', 'correlated', 'among', 'each', 'other', 'with', 'xray', 'optical', 'and', 'radio', 'data', 'and', 'with', 'the', 'estimated', 'black', 'hole', 'bh', 'masses', 'of', 'the', 'respective', 'host', 'galaxies', 'according', 'to', 'expectations', 'from', 'synchrotron', 'selfcompton', 'emission', 'models', 'a', 'correlation', 'on', 'the', '36sigma', 'significance', 'level', 'between', 'gammaray', 'and', 'xray', 'fluxes', 'is', 'found', 'while', 'correlations', 'between', 'gammaray', 'and', 'opticalradio', 'fluxes', 'are', 'less', 'pronounced', 'further', 'a', 'general', 'hardening', 'of', 'the', 'e100', 'gev', 'spectra', 'with', 'increasing', 'gammaray', 'luminosity', 'is', 'observed', 'this', 'goes', 'in', 'line', 'with', 'a', 'correlation', 'of', 'the', 'gammaray', 'luminosity', 'and', 'the', 'synchrotron', 'peak', 'frequency', 'which', 'is', 'also', 'seen', 'tests', 'for', 'possible', 'selection', 'effects', 'reveal', 'a', 'hardening', 'of', 'the', 'spectra', 'with', 'increasing', 'redshift', 'the', 'gammaray', 'emission', 'might', 'depend', 'on', 'the', 'mass', 'of', 'the', 'central', 'bh', 'the', 'studied', 'blazars', 'show', 'no', 'correlation', 'of', 'the', 'bh', 'masses', 'with', 'the', 'spectral', 'index', 'and', 'the', 'luminosity', 'in', 'the', 'e100', 'gev', 'region', 'also', 'temporal', 'properties', 'of', 'the', 'xray', 'and', 'e100', 'gev', 'gammaray', 'flux', 'are', 'considered', 'no', 'general', 'trends', 'are', 'found', 'except', 'that', 'the', 'blazars', 'with', 'the', 'most', 'massive', 'bhs', 'do', 'not', 'show', 'particularly', 'high', 'duty', 'cycles', 'in', 'general', 'vhe', 'flare', 'timescales', 'are', 'not', 'found', 'to', 'scale', 'with', 'the', 'bh', 'mass', 'as', 'a', 'specific', 'application', 'of', 'the', 'luminosity', 'study', 'a', 'constraint', 'for', 'the', 'still', 'undetermined', 'redshift', 'of', 'the', 'blazar', 'pg', '1553113', 'is', 'discussed']] | [-0.03973520353760485, 0.18918865313908412, -0.013152309759792662, 0.23239347660168652, -0.10000235203851879, -0.11010952285816716, 0.024403748537162356, 0.5018308929773224, -0.12712061034556224, -0.39059231131064914, 0.02726436225952361, -0.34514077525575265, 0.05441335439965299, 0.257811110435291, 0.01696773276893606, -0.01284095698909147, 0.049268824583054045, -0.04171484992963336, -0.04885567539867754, -0.18776324924980464, 0.28049610080657805, 0.1767773476328361, 0.22442390068395227, 0.05229321571895605, 0.05614547084436217, -0.05262581016709001, -0.058433586398684935, -0.04856350843663732, -0.08409132486747196, 0.04059994496168753, 0.2545777465694013, 0.09075301919776961, 0.17075456493488111, -0.26167551578932613, -0.24995051799545653, 0.13329607562804702, 0.1304041199915522, -0.04862825372858334, -0.04166954143280243, -0.2608951264886122, 0.03991281788330525, -0.1847112996614593, -0.1420837073629375, 0.09515015512949189, 0.033782053499804815, 0.04248301063539432, -0.170556032358219, 0.1483280451349939, -0.009067479222583559, 0.04481823572414456, -0.12841646316613534, -0.09152915632084876, -0.08775213742168345, 0.0068614587122255745, 0.14818728384437896, 0.05464637556882175, 0.16298145255314703, -0.12049154742858142, -0.12518941668882974, 0.39612614408758656, -0.002463413932338134, 0.012795036285053301, 0.1955749356920898, -0.24952617044978467, -0.21480409527452443, 0.21898564117510905, 0.15619050811696444, 0.08490254610472363, -0.166533629039476, 0.035444965445084194, 0.018895661036976163, 0.24538192940705914, 0.042972419444584915, 0.10362269217745992, 0.3014557736407002, 0.1147907600749617, 0.018115694540333245, 0.09193120894890754, -0.24485606335974636, 0.03306279211732676, -0.296704124314923, -0.01973167159630007, -0.15545874317937988, 0.14332374792819144, -0.11199818822565646, -0.10085728379256825, 0.4084304323076437, 0.07657811381618852, 0.24057973155348134, 0.07772403564560847, 0.2606184725107859, 0.14675891663509105, 0.05959130489770252, 0.16381989700804703, 0.39970693900692544, 0.13888332580867802, 0.12604098381145287, -0.20310037858260108, 0.030190370479393255, -0.03889053052879105] |
711.3026 | Strings on conifolds from strong coupling dynamics: quantitative results | Three quantitative features of string theory on AdS_5 x X_5, for any
(quasi)regular Sasaki-Einstein X_5, are recovered exactly from an expansion of
field theory at strong coupling around configurations in the moduli space of
vacua. These configurations can be thought of as a generalized matrix model of
(local) commuting matrices. First, we reproduce the spectrum of scalar
Kaluza-Klein modes on X_5. Secondly, we recover the precise spectrum of BMN
string states, including a nontrivial dependence on the volume of X_5. Finally,
we show how the radial direction in global AdS_5 emerges universally in these
theories by exhibiting states dual to AdS giant gravitons.
| hep-th | three quantitative features of string theory on ads_5 x x_5 for any quasiregular sasakieinstein x_5 are recovered exactly from an expansion of field theory at strong coupling around configurations in the moduli space of vacua these configurations can be thought of as a generalized matrix model of local commuting matrices first we reproduce the spectrum of scalar kaluzaklein modes on x_5 secondly we recover the precise spectrum of bmn string states including a nontrivial dependence on the volume of x_5 finally we show how the radial direction in global ads_5 emerges universally in these theories by exhibiting states dual to ads giant gravitons | [['three', 'quantitative', 'features', 'of', 'string', 'theory', 'on', 'ads_5', 'x', 'x_5', 'for', 'any', 'quasiregular', 'sasakieinstein', 'x_5', 'are', 'recovered', 'exactly', 'from', 'an', 'expansion', 'of', 'field', 'theory', 'at', 'strong', 'coupling', 'around', 'configurations', 'in', 'the', 'moduli', 'space', 'of', 'vacua', 'these', 'configurations', 'can', 'be', 'thought', 'of', 'as', 'a', 'generalized', 'matrix', 'model', 'of', 'local', 'commuting', 'matrices', 'first', 'we', 'reproduce', 'the', 'spectrum', 'of', 'scalar', 'kaluzaklein', 'modes', 'on', 'x_5', 'secondly', 'we', 'recover', 'the', 'precise', 'spectrum', 'of', 'bmn', 'string', 'states', 'including', 'a', 'nontrivial', 'dependence', 'on', 'the', 'volume', 'of', 'x_5', 'finally', 'we', 'show', 'how', 'the', 'radial', 'direction', 'in', 'global', 'ads_5', 'emerges', 'universally', 'in', 'these', 'theories', 'by', 'exhibiting', 'states', 'dual', 'to', 'ads', 'giant', 'gravitons']] | [-0.16937892152520928, 0.16452408865112833, -0.08846759234636443, 0.11676890073904714, -0.04769985698495802, -0.10676146391327086, -0.004627228273729821, 0.31163309176353, -0.19999042431398936, -0.21375610116525617, 0.08177969900968042, -0.3027547037825712, -0.15081302460388438, 0.1434475649939398, -0.04385660685716396, -0.014424852543121692, 0.006013328815331158, 0.09067451990055807, -0.12727566513694027, -0.21586740254627956, 0.36312056468004017, -0.009013258306155868, 0.27732257006997335, 0.01471914559177765, 0.10918703515114245, -0.016051950509596652, 0.04007585161564492, 0.020689186192223874, -0.15399242472355662, 0.10330798375325331, 0.22380672795082063, 0.08973468575192597, 0.09623830194033466, -0.454648769867507, -0.20679351769261134, 0.08959636720602662, 0.18359323808622718, 0.14449957506369474, 0.025000499112721425, -0.27271871070730164, 0.08299249847808364, -0.1442604402432815, -0.18542771576112588, -0.11214401180747426, 0.007835181587086357, -0.06599072074671321, -0.23435415018087669, 0.0887676953514405, 0.0020712047037713737, 0.025854204297608253, -0.08271183567664143, -0.07628114887024955, -0.09520417300405577, 0.0856279100571732, 0.10826510749644265, 0.045902648493105054, 0.09844997153138217, -0.14157296982096526, -0.12966086836283106, 0.3103215832407903, -0.11556787746088146, -0.2159534310854212, 0.11954638586171622, -0.1855378340323935, -0.1721487263606373, 0.11719769814494745, 0.1376588354717931, 0.19299657491388397, -0.07799028402682646, 0.21091632649881167, -0.05562050719474198, 0.13407633033156105, 0.13330692138287772, 0.09062066863209588, 0.2711095496903635, 0.07345412532997869, 0.05005932892491878, 0.14063503899107443, -0.015365188329331396, -0.10770897985915247, -0.39458200085944345, -0.09719158285885181, -0.1444528856500079, 0.14115252346930646, -0.18880074988548798, -0.1976907409781825, 0.38282977571729027, 0.04304950606095993, 0.20836442377581035, 0.03693407934466467, 0.15057655658066563, 0.05881916268308222, 0.04947765944163921, 0.06695242510945762, 0.24641838330703164, 0.16746380016347845, 0.059626244166775526, -0.2301774086380938, -0.11940830469456981, 0.16317674400538063] |
711.3027 | The narrow escape problem revisited | The time needed for a particle to exit a confining domain through a small
window, called the narrow escape time (NET), is a limiting factor of various
processes, such as some biochemical reactions in cells. Obtaining an estimate
of the mean NET for a given geometric environment is therefore a requisite step
to quantify the reaction rate constant of such processes, which has raised a
growing interest in the last few years. In this Letter, we determine explicitly
the scaling dependence of the mean NET on both the volume of the confining
domain and the starting point to aperture distance. We show that this
analytical approach is applicable to a very wide range of stochastic processes,
including anomalous diffusion or diffusion in the presence of an external force
field, which cover situations of biological relevance.
| cond-mat.stat-mech q-bio.QM | the time needed for a particle to exit a confining domain through a small window called the narrow escape time net is a limiting factor of various processes such as some biochemical reactions in cells obtaining an estimate of the mean net for a given geometric environment is therefore a requisite step to quantify the reaction rate constant of such processes which has raised a growing interest in the last few years in this letter we determine explicitly the scaling dependence of the mean net on both the volume of the confining domain and the starting point to aperture distance we show that this analytical approach is applicable to a very wide range of stochastic processes including anomalous diffusion or diffusion in the presence of an external force field which cover situations of biological relevance | [['the', 'time', 'needed', 'for', 'a', 'particle', 'to', 'exit', 'a', 'confining', 'domain', 'through', 'a', 'small', 'window', 'called', 'the', 'narrow', 'escape', 'time', 'net', 'is', 'a', 'limiting', 'factor', 'of', 'various', 'processes', 'such', 'as', 'some', 'biochemical', 'reactions', 'in', 'cells', 'obtaining', 'an', 'estimate', 'of', 'the', 'mean', 'net', 'for', 'a', 'given', 'geometric', 'environment', 'is', 'therefore', 'a', 'requisite', 'step', 'to', 'quantify', 'the', 'reaction', 'rate', 'constant', 'of', 'such', 'processes', 'which', 'has', 'raised', 'a', 'growing', 'interest', 'in', 'the', 'last', 'few', 'years', 'in', 'this', 'letter', 'we', 'determine', 'explicitly', 'the', 'scaling', 'dependence', 'of', 'the', 'mean', 'net', 'on', 'both', 'the', 'volume', 'of', 'the', 'confining', 'domain', 'and', 'the', 'starting', 'point', 'to', 'aperture', 'distance', 'we', 'show', 'that', 'this', 'analytical', 'approach', 'is', 'applicable', 'to', 'a', 'very', 'wide', 'range', 'of', 'stochastic', 'processes', 'including', 'anomalous', 'diffusion', 'or', 'diffusion', 'in', 'the', 'presence', 'of', 'an', 'external', 'force', 'field', 'which', 'cover', 'situations', 'of', 'biological', 'relevance']] | [-0.10197564294492757, 0.13192528622349967, -0.06180174543405883, 0.04170057106832111, -0.05035801918970214, -0.0715978273190558, 0.07841747809822361, 0.35721801396748226, -0.30230513750403015, -0.286072099774524, 0.1002091666304127, -0.22943708998047643, -0.12659839721336202, 0.19139878561082124, -0.04480594012334391, 0.04928706314207779, 0.017960402598880508, 0.05148409377369616, -0.00892156196490827, -0.19337654502251772, 0.28341764636613703, 0.06182276416156027, 0.24585020020604134, 0.10776964385597104, 0.15479502546497517, -0.0030079045341591592, -0.028686003869882338, 0.03751131195781959, -0.14738867154751292, 0.09203671252061785, 0.2046389624985211, 0.0803228822812714, 0.29592276317308897, -0.417351229502647, -0.2797200383204553, 0.13161210651612945, 0.15589120884714822, 0.1370062464951641, -0.09098754953161847, -0.2135376238160663, 0.04905107890135022, -0.15347403681457594, -0.14252170431858827, -0.03714122640883067, 0.09687461197565965, 0.03963576877420699, -0.2999688300545569, 0.06395405052850643, 0.05308366380976858, 0.057491633773746866, -0.048760483338049165, -0.09033143046415515, 0.04026116195945414, 0.17769494998889665, 0.06301194466305551, 0.04734689288069839, 0.1862319372559863, -0.16748500163536206, -0.07633404486200393, 0.3748026575272282, -0.07214828881400603, -0.2028540525033518, 0.20210949509853013, -0.163370760516436, -0.09198616951083144, 0.16514038736414577, 0.2203305483588742, 0.1289484063870515, -0.1878614042169863, 0.07719903255735214, 0.0009956665268098866, 0.14134525371374804, 0.0629472617370387, 0.0038029420327533175, 0.18199441654745627, 0.20776163183790805, 0.07857963027156613, 0.11249171719946727, -0.11956741497851908, -0.13704235235022175, -0.33145017471440413, -0.1668679152925809, -0.18155680306048858, 0.07434292521362228, -0.10620441580076995, -0.19144634149140782, 0.37233652640823967, 0.13869021895031133, 0.23667588124697903, 0.037628424923039146, 0.2559045186128329, 0.13036718189164445, 0.07293742017096115, 0.021158184086972915, 0.21453728774946218, 0.1216037573499812, 0.11788634417440605, -0.21512792715975257, 0.07452079259480039, -0.0003634654658122195] |
711.3028 | A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory | We investigate an extension of ideas of Atiyah-Patodi-Singer (APS) to a
noncommutative geometry setting framed in terms of Kasparov modules. We use a
mapping cone construction to relate odd index pairings to even index pairings
with APS boundary conditions in the setting of KK-theory, generalising the
commutative theory. We find that Cuntz-Kreiger systems provide a natural class
of examples for our construction and the index pairings coming from APS
boundary conditions yield complete K-theoretic information about certain graph
C*-algebras.
| math.KT math.OA | we investigate an extension of ideas of atiyahpatodisinger aps to a noncommutative geometry setting framed in terms of kasparov modules we use a mapping cone construction to relate odd index pairings to even index pairings with aps boundary conditions in the setting of kktheory generalising the commutative theory we find that cuntzkreiger systems provide a natural class of examples for our construction and the index pairings coming from aps boundary conditions yield complete ktheoretic information about certain graph calgebras | [['we', 'investigate', 'an', 'extension', 'of', 'ideas', 'of', 'atiyahpatodisinger', 'aps', 'to', 'a', 'noncommutative', 'geometry', 'setting', 'framed', 'in', 'terms', 'of', 'kasparov', 'modules', 'we', 'use', 'a', 'mapping', 'cone', 'construction', 'to', 'relate', 'odd', 'index', 'pairings', 'to', 'even', 'index', 'pairings', 'with', 'aps', 'boundary', 'conditions', 'in', 'the', 'setting', 'of', 'kktheory', 'generalising', 'the', 'commutative', 'theory', 'we', 'find', 'that', 'cuntzkreiger', 'systems', 'provide', 'a', 'natural', 'class', 'of', 'examples', 'for', 'our', 'construction', 'and', 'the', 'index', 'pairings', 'coming', 'from', 'aps', 'boundary', 'conditions', 'yield', 'complete', 'ktheoretic', 'information', 'about', 'certain', 'graph', 'calgebras']] | [-0.20241203150252188, 0.05374587850834544, -0.1415011007928207, 0.11375994923748547, -0.11353094568711859, -0.15524508063150924, 0.01311305493464151, 0.32610821065528295, -0.3141027120755443, -0.2704152013352023, 0.11037149804915432, -0.2154464290441969, -0.18576859377466048, 0.19062753835150711, -0.2233251269429309, -0.0449846778418633, 0.05219723624943555, 0.04175294190387336, -0.11849752930287696, -0.23629934479419107, 0.43920809477331896, 0.009505571255201026, 0.2423873417981299, 0.06693804380189203, 0.02021960232147499, 0.06969037665572914, -0.050734682586279854, -0.005458915087429783, -0.18138352123465273, 0.15885408622318808, 0.3403713667317282, 0.047552865222568, 0.166450412637448, -0.37981895686280503, -0.18833525517080096, 0.15650281309492037, 0.03791590834838114, 0.013722020955874195, -0.007796282432030273, -0.2538147368763067, 0.10149562759678575, -0.23033054340394993, -0.15610018957264815, -0.0689153531035762, -0.0007797123685986087, -0.0428776487566625, -0.2971228143978345, -0.050607639647831645, 0.08649901941984514, 0.12945458212796646, -0.09992709637419143, -0.0678505543206783, -0.03363093733492814, 0.11215469409134003, -0.010602947241992136, -0.027252527986818195, 0.08384549551160086, -0.10608586171476901, -0.18596020501248445, 0.3257212900096857, -0.034428923632478035, -0.22552000132943445, 0.1537458061511758, -0.10227988788834479, -0.16533616314276675, 0.08145972686713632, 0.08341329525920409, 0.1474627457629842, -0.023544319869973993, 0.13808958702705965, -0.13804247963855254, 0.10438485240823106, 0.13674775915385423, 0.06380403128045882, 0.1469320067310635, 0.04784880317393926, 0.13318549311142178, 0.18970730921984474, 0.0391174635637693, -0.06891287786037295, -0.36102586669870945, -0.17125124451954837, -0.09946141625412658, 0.10562220646976199, -0.10840882767633611, -0.2045261076168169, 0.4111236313805927, 0.11579293963982712, 0.17612926874757756, 0.10440114889989453, 0.20257837726156921, 0.06716606756701736, 0.04402047928564156, 0.049964794038081704, 0.10123758307139424, 0.24159576233382088, 0.07369816353945416, -0.09284188929367575, -0.08784497664545816, 0.21811721813452395] |
711.3029 | The MINERvA Neutrino Interaction Experiment | The MINERvA neutrino interaction experiment in the NuMI beam at Fermilab will
measure several aspects of neutrino interactions in the few GeV energy region.
We will make cross section and form factor measurements using a fine-grained
fully active scintillator (CH) target, and also investigate nuclear effects on
neutrino interactions as well as hadron rescattering using integral nuclear
targets made of helium, carbon, iron, and lead. We will improve or add to
existing measurements and address some specific questions that are important
for current and upcoming neutrino oscillation experiments. This paper reports
on the progress toward the design, construction, and calibration of the
detector, which we expect will get its first neutrino beam in 2009.
| hep-ex | the minerva neutrino interaction experiment in the numi beam at fermilab will measure several aspects of neutrino interactions in the few gev energy region we will make cross section and form factor measurements using a finegrained fully active scintillator ch target and also investigate nuclear effects on neutrino interactions as well as hadron rescattering using integral nuclear targets made of helium carbon iron and lead we will improve or add to existing measurements and address some specific questions that are important for current and upcoming neutrino oscillation experiments this paper reports on the progress toward the design construction and calibration of the detector which we expect will get its first neutrino beam in 2009 | [['the', 'minerva', 'neutrino', 'interaction', 'experiment', 'in', 'the', 'numi', 'beam', 'at', 'fermilab', 'will', 'measure', 'several', 'aspects', 'of', 'neutrino', 'interactions', 'in', 'the', 'few', 'gev', 'energy', 'region', 'we', 'will', 'make', 'cross', 'section', 'and', 'form', 'factor', 'measurements', 'using', 'a', 'finegrained', 'fully', 'active', 'scintillator', 'ch', 'target', 'and', 'also', 'investigate', 'nuclear', 'effects', 'on', 'neutrino', 'interactions', 'as', 'well', 'as', 'hadron', 'rescattering', 'using', 'integral', 'nuclear', 'targets', 'made', 'of', 'helium', 'carbon', 'iron', 'and', 'lead', 'we', 'will', 'improve', 'or', 'add', 'to', 'existing', 'measurements', 'and', 'address', 'some', 'specific', 'questions', 'that', 'are', 'important', 'for', 'current', 'and', 'upcoming', 'neutrino', 'oscillation', 'experiments', 'this', 'paper', 'reports', 'on', 'the', 'progress', 'toward', 'the', 'design', 'construction', 'and', 'calibration', 'of', 'the', 'detector', 'which', 'we', 'expect', 'will', 'get', 'its', 'first', 'neutrino', 'beam', 'in', '2009']] | [-0.04499812217086161, 0.19369183990516162, -0.04219338195418874, 0.1197297755218307, -0.0626018346663107, -0.12153718965699929, 0.03503024205259096, 0.3966165728246172, -0.19780273194702572, -0.3321722990326714, 0.07524826544798552, -0.3621214505186991, -0.027614560494967327, 0.19635959449959428, 0.0182345306003985, 0.05844145364550825, 0.1489501029575701, -0.022345207476367552, -0.08752984693886615, -0.2244541708915086, 0.2959675893367252, 0.18126800496196538, 0.23739204477118492, 0.14581168870637684, 0.09587752979796119, -0.013087998052421761, -0.10368668756921563, -0.05950791343715728, -0.12790625930893726, 0.07664326060432614, 0.29992273839225325, 0.12438550962363942, 0.14545584706949038, -0.4688919528240436, -0.15617393280492825, 0.10707644478973459, 0.14195539906473928, 0.09470779254211505, -0.08678260253815863, -0.28450593999341917, 0.0016332051161219155, -0.2275536780719433, -0.14765794770465346, -0.05563698191881964, -0.0417485938922159, 0.03737951356002636, -0.23994722993423542, -0.01296651370750879, -0.014160988009902403, 0.006631735655103336, -0.024195797846595382, -0.20171787765432606, 0.07642784007424652, 0.08156338705182925, 0.06033262021414805, 0.025033703621215465, 0.1861143469210028, -0.13996149138996802, -0.09105917201132367, 0.37178639381339673, -0.04261752535188734, -0.11190844277581691, 0.13410839305684102, -0.18884613226053484, -0.14285943606508927, 0.11214402645597593, 0.23591480817515076, 0.0401326726382729, -0.20480302559097477, 0.013073530853848513, -0.0425709747431571, 0.18335282524001964, 0.06874938393338469, 0.032792992755084446, 0.22772716516792252, 0.26871264908920256, 0.08921399449096307, 0.017951648559813436, -0.19083344105941555, 0.014706244606426671, -0.363734236526254, -0.10898437762960766, -0.04197242490032263, 0.0636693334519422, 0.046319396672882714, -0.059130369224013726, 0.39393096439859, 0.1447104760263117, 0.19071615507556616, -0.06910055597096257, 0.3149136370211317, -0.003046591529263216, 0.047130778886320626, -0.01363556875781924, 0.3379184369852035, 0.12063908219141395, 0.17469942569732666, -0.2306534247963052, 0.04988424271230765, 0.04406057361905512] |
711.303 | Diamonds | We prove, e.g., that if lambda=chi^+=2^chi and S subseteq
{delta<lambda:cf(delta) neq cf(chi)} is stationary then diamondsuit_lambda
holds true.
| math.LO | we prove eg that if lambdachi2chi and s subseteq deltalambdacfdelta neq cfchi is stationary then diamondsuit_lambda holds true | [['we', 'prove', 'eg', 'that', 'if', 'lambdachi2chi', 'and', 's', 'subseteq', 'deltalambdacfdelta', 'neq', 'cfchi', 'is', 'stationary', 'then', 'diamondsuit_lambda', 'holds', 'true']] | [-0.16119796210633858, 0.17855621109317457, -0.017204126742269312, 0.07686715384313304, -0.022914668362188553, -0.3348969441971609, 0.004385848130498614, 0.37553692715508596, -0.36917913279363085, -0.05268643630136337, 0.03025225067644247, -0.33349943959287237, -0.10297958606055804, 0.1636451173108071, -0.110312973481736, -0.08193398210486132, 0.06632799974509648, 0.07632191865039724, -0.06889615312684327, -0.22914793568530253, 0.3385249794061695, -0.21251965606851236, 0.22041614293786033, 0.13643431483900972, 0.16180223918386868, 0.06997990062726396, 0.13303058528773753, 0.055616155333284824, -0.21389555001691665, -0.08203800299920008, 0.23222066462039948, 0.29800986849503325, 0.27065378214631763, -0.36831899506172966, -0.11317708070522972, 0.36039881887180464, 0.16131583855998802, -0.03799721465579101, 0.020327058604120145, -0.17108978583876575, 0.3663289686664939, -0.06476736986743552, -0.2340140497711088, -0.05466768830748541, 0.270218049475391, 0.05017366825735995, -0.47164191731384825, 0.08121167229754585, 0.25742754925574574, -0.02194017717348678, -0.029724658067737306, -0.1258585340609508, -0.12433408061042428, 0.039345104047762494, -0.015419156174175441, 0.11372218011612338, -0.013348654910389866, -0.025901298304753646, -0.027225534581313177, 0.3794132181044136, -0.07571259905983295, -0.225636860621827, 0.08000107182722006, -0.23101071660806025, -0.18845897313440219, -0.03592389103557382, 0.0019846859255007337, 0.16778946832554148, 0.027539640199393034, 0.3166534246036982, -0.1936826285506998, 0.14382169768214226, 0.11663251909859744, -0.00046265973443431515, 0.10371721482702664, 0.016016393500779356, 0.15745398827961513, 0.0818043372460774, -0.09093885416431087, 0.09460861874478203, -0.40366858363683733, -0.172395524967994, -0.19439557647066458, 0.25222118511529906, -0.05132674375844155, -0.10096522507124714, 0.21374652375067985, 0.20974622214479105, 0.07889419794082642, 0.16915122007152864, 0.18239095168454306, 0.11512184389201659, -0.13295574286686523, 0.275217329251713, 0.10408566120479788, 0.049775385696973116, -0.12360942669745002, -0.08282941752778632, 0.13769629477922404, 0.09782824046643716] |
711.3031 | Basic Subgroups and Freeness, A Counterexample | We construct a non-free but aleph_1-separable, torsion-free abelian group G
with a pure free subgroup B such that all subgroups of G disjoint from B are
free and such that G/B is divisible. This answers a question of Irwin and shows
that a theorem of Blass and Irwin cannot be strengthened so as to give an exact
analog for torsion-free groups of a result proved for p-groups by Benabdallah
and Irwin.
| math.LO math.GR | we construct a nonfree but aleph_1separable torsionfree abelian group g with a pure free subgroup b such that all subgroups of g disjoint from b are free and such that gb is divisible this answers a question of irwin and shows that a theorem of blass and irwin cannot be strengthened so as to give an exact analog for torsionfree groups of a result proved for pgroups by benabdallah and irwin | [['we', 'construct', 'a', 'nonfree', 'but', 'aleph_1separable', 'torsionfree', 'abelian', 'group', 'g', 'with', 'a', 'pure', 'free', 'subgroup', 'b', 'such', 'that', 'all', 'subgroups', 'of', 'g', 'disjoint', 'from', 'b', 'are', 'free', 'and', 'such', 'that', 'gb', 'is', 'divisible', 'this', 'answers', 'a', 'question', 'of', 'irwin', 'and', 'shows', 'that', 'a', 'theorem', 'of', 'blass', 'and', 'irwin', 'can', 'not', 'be', 'strengthened', 'so', 'as', 'to', 'give', 'an', 'exact', 'analog', 'for', 'torsionfree', 'groups', 'of', 'a', 'result', 'proved', 'for', 'pgroups', 'by', 'benabdallah', 'and', 'irwin']] | [-0.14338340121653995, 0.13492827078381586, -0.12127126997137176, 0.06086249379441142, -0.11981252271548978, -0.16805459459844443, 0.057752089841025214, 0.35507202651019076, -0.29810210530247006, -0.28807428425976206, 0.11623998056831104, -0.22789530126111848, -0.09577656174078583, 0.24575021352086748, -0.17743679553802524, -0.08147857427330954, 0.05701253512608154, 0.09203867167234421, 0.008382283763161727, -0.28751525077968837, 0.3319128080936415, -0.049031574511900544, 0.18931820304798228, 0.08845654897657888, 0.08504510432747858, 0.01518375004462931, -0.03821503864601254, 0.027934208192995618, -0.13654278173333814, 0.07914138873789593, 0.313809923561556, 0.07701779191515275, 0.2255875153200967, -0.3142585221944111, -0.18513144399039447, 0.21582607557065786, 0.10332658515045685, 0.01439318603702954, -0.06733836804383568, -0.28115546471838443, 0.1666071188636124, -0.22643992759819542, -0.10644233673145728, -0.06616090063803963, 0.12472863947706563, -0.020445431529411248, -0.27434664920105467, 0.02793242387207491, 0.16560009712619442, 0.08623295988800236, -0.03209410549607128, -0.10991907085824226, -0.05506501378757613, 0.10109268763501729, 0.007809397561608681, 0.0691077488873686, 0.03655607925195779, -0.04888877188454249, -0.1394487631374172, 0.415042702467846, -0.08341045025070863, -0.15672322815018042, 0.1660273029036554, -0.13759914125902079, -0.18444466085805158, 0.10362936934190137, 0.04739763699471951, 0.1533395435128893, -0.052494910771825484, 0.18900637394149922, -0.20874939506341303, 0.12065591303232526, 0.10219468499001648, -0.0489798366956945, 0.09635867981705815, 0.03796541497909597, 0.09543191685474345, 0.13204921892943924, 0.11520515862004166, 0.13149218930463705, -0.3201799583488277, -0.20642687853126387, -0.13366749120510316, 0.18896944674883603, -0.035353311350003684, -0.18026706206811857, 0.3497047986569149, 0.05092785008517759, 0.12426483649760485, 0.0991227075657142, 0.16499996185302734, 0.011080597818363458, 0.044231692337364494, 0.15343279079534114, 0.10148131693048136, 0.22436963797746493, -0.12977355722604053, -0.1050209979293868, -0.03456848998820143, 0.15757434463926723] |
711.3032 | Pseudo focal points along Lorentzian geodesics and Morse index | Given a Lorentzian manifold $(M,g)$, a geodesic $\gamma$ in $M$ and a
timelike Jacobi field $\mathcal Y$ along $\gamma$, we introduce a special class
of instants along $\gamma$ that we call $\mathcal Y$-pseudo conjugate (or focal
relatively to some initial orthogonal submanifold). We prove that the $\mathcal
Y$-pseudo conjugate instants form a finite set, and their number equals the
Morse index of (a suitable restriction of) the index form. This gives a
Riemannian-like Morse index theorem. As special cases of the theory, we will
consider geodesics in stationary and static Lorentzian manifolds, where the
Jacobi field $\mathcal Y$ is obtained as the restriction of a globally defined
timelike Killing vector field.
| math.DG | given a lorentzian manifold mg a geodesic gamma in m and a timelike jacobi field mathcal y along gamma we introduce a special class of instants along gamma that we call mathcal ypseudo conjugate or focal relatively to some initial orthogonal submanifold we prove that the mathcal ypseudo conjugate instants form a finite set and their number equals the morse index of a suitable restriction of the index form this gives a riemannianlike morse index theorem as special cases of the theory we will consider geodesics in stationary and static lorentzian manifolds where the jacobi field mathcal y is obtained as the restriction of a globally defined timelike killing vector field | [['given', 'a', 'lorentzian', 'manifold', 'mg', 'a', 'geodesic', 'gamma', 'in', 'm', 'and', 'a', 'timelike', 'jacobi', 'field', 'mathcal', 'y', 'along', 'gamma', 'we', 'introduce', 'a', 'special', 'class', 'of', 'instants', 'along', 'gamma', 'that', 'we', 'call', 'mathcal', 'ypseudo', 'conjugate', 'or', 'focal', 'relatively', 'to', 'some', 'initial', 'orthogonal', 'submanifold', 'we', 'prove', 'that', 'the', 'mathcal', 'ypseudo', 'conjugate', 'instants', 'form', 'a', 'finite', 'set', 'and', 'their', 'number', 'equals', 'the', 'morse', 'index', 'of', 'a', 'suitable', 'restriction', 'of', 'the', 'index', 'form', 'this', 'gives', 'a', 'riemannianlike', 'morse', 'index', 'theorem', 'as', 'special', 'cases', 'of', 'the', 'theory', 'we', 'will', 'consider', 'geodesics', 'in', 'stationary', 'and', 'static', 'lorentzian', 'manifolds', 'where', 'the', 'jacobi', 'field', 'mathcal', 'y', 'is', 'obtained', 'as', 'the', 'restriction', 'of', 'a', 'globally', 'defined', 'timelike', 'killing', 'vector', 'field']] | [-0.2435307712977701, 0.14504019983557112, -0.0767879413457912, 0.07010814148949784, -0.1286928463906665, -0.18525274622536034, 0.012959752102604631, 0.3785443317418525, -0.2574134525082527, -0.15301603020741306, 0.04521965546669105, -0.24522059841867572, -0.1323850289939843, 0.15436516690640412, -0.12290175230917308, 0.028144217873795317, 0.05392419067083286, 0.1663019414905698, -0.11899943911222689, -0.17160441826413805, 0.40621280245089886, -0.04487717604486767, 0.22415471780156598, -0.0013792964869067757, 0.12536890016133906, 0.040864306758371514, 0.012898764791983873, 0.035850196029176405, -0.16500420925282733, 0.09129109642887061, 0.2381146504723151, 0.12554641266848995, 0.24197892198304927, -0.32971486616708817, -0.1718234909375822, 0.2167354973221044, 0.14542135905149742, -0.040009132050268285, -0.015218287661517843, -0.2595311270667872, 0.07094803222010784, -0.09195330735603603, -0.22177492170765517, -0.0444642841098232, 0.06964821451228248, 0.013260641558215432, -0.2665899246332979, -0.006625084590952878, 0.09225255916740985, 0.08886029419207245, -0.059173349214188, -0.07872382336917735, -0.09168924168905739, 0.030932034299614917, 0.051133873788084525, 0.10589625153887094, 0.10929769590291954, -0.010259155724453954, -0.0633458793846839, 0.3592650422467551, -0.11759109619082114, -0.3000454631625512, 0.05095105311927309, -0.16040490667651827, -0.15776411163697548, 0.11981832444531108, 0.14448919704337732, 0.20263488040468014, -0.06491086832162232, 0.23335220440293003, -0.07140857844673303, 0.049293843473931516, 0.15085941433923644, -0.01901997717251198, 0.13370771369461074, 0.023718431878219776, 0.10783342124975431, 0.1328406586918399, -0.054192461291276806, -0.04318631618788867, -0.4197229605270635, -0.22165622910775176, -0.12885389321509305, 0.1862752244918855, -0.17246353397652647, -0.23656738393965665, 0.3679700250771546, -0.011042611925529505, 0.21696810379043358, 0.10244128818905682, 0.19389024888242193, 0.09041199684604989, -0.022088310973923823, 0.13326698732605086, 0.13085893462673726, 0.21442457662741526, 0.03625094272845655, -0.128957055564628, -0.08436000961895793, 0.14499770743140114] |
711.3033 | Searching for Kaluza-Klein Dark Matter Signatures in the LAT Electron
Flux | We present here the prospects for the GLAST Large Area Telescope (LAT)
detection of the signature of the lightest Kaluza-Klein particle (LKP). It
decays by direct annihilation into electron-positron pairs that may be
detectable in the high energy electron flux. We discuss the LAT capability for
detecting the high energy (20 GeV - ~1 TeV) cosmic ray electron flux and we
analyze the LAT sensitivity to detect LKP-produced electrons for various
particle masses. We include an analysis of the diffusive propagation of the
electrons in the galaxy.
| astro-ph | we present here the prospects for the glast large area telescope lat detection of the signature of the lightest kaluzaklein particle lkp it decays by direct annihilation into electronpositron pairs that may be detectable in the high energy electron flux we discuss the lat capability for detecting the high energy 20 gev 1 tev cosmic ray electron flux and we analyze the lat sensitivity to detect lkpproduced electrons for various particle masses we include an analysis of the diffusive propagation of the electrons in the galaxy | [['we', 'present', 'here', 'the', 'prospects', 'for', 'the', 'glast', 'large', 'area', 'telescope', 'lat', 'detection', 'of', 'the', 'signature', 'of', 'the', 'lightest', 'kaluzaklein', 'particle', 'lkp', 'it', 'decays', 'by', 'direct', 'annihilation', 'into', 'electronpositron', 'pairs', 'that', 'may', 'be', 'detectable', 'in', 'the', 'high', 'energy', 'electron', 'flux', 'we', 'discuss', 'the', 'lat', 'capability', 'for', 'detecting', 'the', 'high', 'energy', '20', 'gev', '1', 'tev', 'cosmic', 'ray', 'electron', 'flux', 'and', 'we', 'analyze', 'the', 'lat', 'sensitivity', 'to', 'detect', 'lkpproduced', 'electrons', 'for', 'various', 'particle', 'masses', 'we', 'include', 'an', 'analysis', 'of', 'the', 'diffusive', 'propagation', 'of', 'the', 'electrons', 'in', 'the', 'galaxy']] | [-0.09600213887341157, 0.26381853818499673, 0.0006521275924409137, 0.23581949617056286, -0.06975076784763266, -0.07655686313176856, 0.01336595431819339, 0.3461653321022716, -0.18892776107634693, -0.3906250460840323, -0.02240776212831192, -0.35732589560177397, 0.040710910771261245, 0.24598983981208328, 0.06363251152284005, 0.021306166184299133, 0.10088991694261923, -0.053134019631782874, -0.01588708728497081, -0.21348709334783694, 0.2618276173906291, 0.21366280925405376, 0.21748878684114006, 0.15546313453575267, 0.09297320958062569, -0.006009912693544346, -0.060194703322999615, -0.06331244939390351, -0.11600643838798586, 0.07439080819432788, 0.20620574065867592, 0.09771068662076313, 0.13469701001749318, -0.3888938142753699, -0.2096857231219902, 0.1820308681577444, 0.17578948224785135, 0.025388125845176333, -0.11345931928166572, -0.36236184765858687, 0.05142310572897687, -0.23104902693782658, -0.17226419744136579, 0.00025172371499459535, -0.01614356726572356, 0.008430345920736299, -0.17076158543281694, 0.0877011907122591, -0.033769399954882616, -0.02422010641106788, -0.08902074700796649, -0.058583134571638176, 0.014759147997178576, 0.011940184438272433, 0.11917858108439866, -0.008876432429122574, 0.18796890476608977, -0.15593866907498416, -0.13819411098272266, 0.35339063476113713, -0.0711227766402504, -0.08294256063561667, 0.1626282767063993, -0.2274923068098039, -0.18988590757636464, 0.23164506511324467, 0.22772220771978882, 0.05677544522811385, -0.16138944424250545, 0.11489317147540586, 0.002148759934832068, 0.17479383807410212, 0.03803579420508707, 0.07376861912215485, 0.29931380759705517, 0.20191336640102023, 0.09243359250728699, 0.07915830707369263, -0.3498320741195451, 0.05161366164136459, -0.35197105951168955, -0.19532358285368365, -0.16386003967045862, 0.09532394761027878, -0.06210980900539332, -0.075114355937523, 0.44390325167161576, 0.1267311576000579, 0.1912429340649396, 0.0021912462954573773, 0.3141105818836128, 0.08967566609601764, 0.034708070985096345, 0.08413693221176372, 0.3864328828147229, 0.07716477600145427, 0.11822190274320105, -0.23330961152472918, -0.06677190441199962, 0.012191074845545432] |
711.3034 | Different progenitors of short hard gamma-ray bursts | We consider the spatial offsets of short hard gamma-ray bursts (SHBs) from
their host galaxies. We show that all SHBs with extended duration soft emission
components lie very close to their hosts. We suggest that NS-BH binary mergers
offer a natural explanation for the properties of this extended duration/low
offset group. SHBs with large offsets have no observed extended emission
components and are less likely to have an optically detected afterglow,
properties consistent with NS-NS binary mergers occurring in low density
environments.
| astro-ph | we consider the spatial offsets of short hard gammaray bursts shbs from their host galaxies we show that all shbs with extended duration soft emission components lie very close to their hosts we suggest that nsbh binary mergers offer a natural explanation for the properties of this extended durationlow offset group shbs with large offsets have no observed extended emission components and are less likely to have an optically detected afterglow properties consistent with nsns binary mergers occurring in low density environments | [['we', 'consider', 'the', 'spatial', 'offsets', 'of', 'short', 'hard', 'gammaray', 'bursts', 'shbs', 'from', 'their', 'host', 'galaxies', 'we', 'show', 'that', 'all', 'shbs', 'with', 'extended', 'duration', 'soft', 'emission', 'components', 'lie', 'very', 'close', 'to', 'their', 'hosts', 'we', 'suggest', 'that', 'nsbh', 'binary', 'mergers', 'offer', 'a', 'natural', 'explanation', 'for', 'the', 'properties', 'of', 'this', 'extended', 'durationlow', 'offset', 'group', 'shbs', 'with', 'large', 'offsets', 'have', 'no', 'observed', 'extended', 'emission', 'components', 'and', 'are', 'less', 'likely', 'to', 'have', 'an', 'optically', 'detected', 'afterglow', 'properties', 'consistent', 'with', 'nsns', 'binary', 'mergers', 'occurring', 'in', 'low', 'density', 'environments']] | [-0.12558306622560378, 0.1553878702158985, -0.06154722265071339, 0.21086432478235415, -0.15011571948761465, -0.10719936228368754, 0.02747439024510023, 0.5566987376890065, -0.16066899617995928, -0.3080427347463958, 0.03614943838868014, -0.2921546838809679, -0.06032845861979841, 0.20995298604032508, -0.025085791968453078, -0.09806808381683457, 0.07464167379693669, -0.10135739551926101, -0.10173673645512742, -0.2104153288902002, 0.2463379061039261, 0.07134199327858234, 0.1249447889097127, -0.09055747351620669, 0.061293174857618635, -0.039473079389283135, -0.052282164361971764, -0.03338088718369419, -0.07683599291367163, 0.03259716504885827, 0.3124592627893076, 0.06444083553031776, 0.13904692407375502, -0.39532470105238904, -0.27187383231235507, 0.13781237127374352, 0.14992159207776926, 0.0021055769520225347, -0.13611799794720647, -0.29289430204238515, 0.0907837952089059, -0.2647499459117283, -0.1820112499465913, 0.07876117356167531, 0.0854979852375425, 0.08881068619451037, -0.12500239194681248, 0.15213187043497592, 0.0320134002364666, -0.0065459580517109525, -0.08930694706232091, -0.042748950628770724, -0.009754161022741485, 0.03834554552457031, 0.07097524515335897, 0.03601532823831579, 0.1565525558386228, -0.09358746990458006, -0.12172785514597724, 0.4167439287390422, -0.03085181444745373, -0.010162094906892306, 0.3032543680596131, -0.20658803536315207, -0.24618391532818845, 0.235408163824935, 0.15978448909281948, 0.09196259966695014, -0.1361937499317674, -0.05706544277685074, 0.02424942222165151, 0.2333705494824199, 0.01603087408606101, 0.12344426222944656, 0.38555429691885723, 0.07676135863602897, -0.024677732570081042, 0.1189087792529644, -0.19911272902570573, 0.030621456120301177, -0.24038678503675778, -0.033091248572160156, -0.1134549700094525, 0.13005828769176186, -0.102812536750499, -0.14160661188954557, 0.3006583498445926, 0.10176132694691603, 0.2257335132741036, 0.10230480354957651, 0.24255423376014756, 0.0986346867636858, 0.1194839819656386, 0.14553464467372793, 0.3303796498587838, 0.13397242219681726, 0.009486136751042472, -0.18723626810493937, 0.10186846424928969, -0.06249596095459973] |
711.3035 | Statistical Inference for Disordered Sphere Packings | Sphere packings are essential to the development of physical models for
powders, composite materials, and the atomic structure of the liquid state.
There is a strong scientific need to be able to assess the fit of packing
models to data, but this is complicated by the lack of formal probabilistic
models for packings. Without formal models, simulation algorithms and
collections of physical objects must be used as models. Identification of
common aspects of different realizations of the same packing process requires
the use of new descriptive statistics, many of which have yet to be developed.
Model assessment will require the use of large samples of independent and
identically distributed realizations, rather than the large single stationary
realizations found in conventional spatial statistics. The development of
procedures for model assessment will resemble the development of thermodynamic
models, and will be based on much exploration and experimentation rather than
on extensions of established statistical methods.
| stat.ME stat.AP | sphere packings are essential to the development of physical models for powders composite materials and the atomic structure of the liquid state there is a strong scientific need to be able to assess the fit of packing models to data but this is complicated by the lack of formal probabilistic models for packings without formal models simulation algorithms and collections of physical objects must be used as models identification of common aspects of different realizations of the same packing process requires the use of new descriptive statistics many of which have yet to be developed model assessment will require the use of large samples of independent and identically distributed realizations rather than the large single stationary realizations found in conventional spatial statistics the development of procedures for model assessment will resemble the development of thermodynamic models and will be based on much exploration and experimentation rather than on extensions of established statistical methods | [['sphere', 'packings', 'are', 'essential', 'to', 'the', 'development', 'of', 'physical', 'models', 'for', 'powders', 'composite', 'materials', 'and', 'the', 'atomic', 'structure', 'of', 'the', 'liquid', 'state', 'there', 'is', 'a', 'strong', 'scientific', 'need', 'to', 'be', 'able', 'to', 'assess', 'the', 'fit', 'of', 'packing', 'models', 'to', 'data', 'but', 'this', 'is', 'complicated', 'by', 'the', 'lack', 'of', 'formal', 'probabilistic', 'models', 'for', 'packings', 'without', 'formal', 'models', 'simulation', 'algorithms', 'and', 'collections', 'of', 'physical', 'objects', 'must', 'be', 'used', 'as', 'models', 'identification', 'of', 'common', 'aspects', 'of', 'different', 'realizations', 'of', 'the', 'same', 'packing', 'process', 'requires', 'the', 'use', 'of', 'new', 'descriptive', 'statistics', 'many', 'of', 'which', 'have', 'yet', 'to', 'be', 'developed', 'model', 'assessment', 'will', 'require', 'the', 'use', 'of', 'large', 'samples', 'of', 'independent', 'and', 'identically', 'distributed', 'realizations', 'rather', 'than', 'the', 'large', 'single', 'stationary', 'realizations', 'found', 'in', 'conventional', 'spatial', 'statistics', 'the', 'development', 'of', 'procedures', 'for', 'model', 'assessment', 'will', 'resemble', 'the', 'development', 'of', 'thermodynamic', 'models', 'and', 'will', 'be', 'based', 'on', 'much', 'exploration', 'and', 'experimentation', 'rather', 'than', 'on', 'extensions', 'of', 'established', 'statistical', 'methods']] | [-0.04473139705239899, 0.11025664044751061, -0.10874746665602027, 0.07450431507973929, -0.07711922972055238, -0.13169535050728645, 0.02872527189236256, 0.3642139891832093, -0.22533020133067386, -0.33933252594098934, 0.12990753098430563, -0.23782978670099397, -0.10429671613706483, 0.2218038602001673, -0.06929248293216517, 0.1054807862261572, 0.05379455048040018, 0.006161013067231264, -0.07445983614869951, -0.23682146817537061, 0.2826111849490249, 0.07784532385424017, 0.31952060928896947, -0.011923919319254316, 0.067972135517801, -0.005619715610092956, -0.05755753934404697, 0.03598507244316435, -0.12815486084596783, 0.15931053996828745, 0.25921326282077883, 0.1570347547329018, 0.26758519513228163, -0.4633844026114816, -0.2491923259530107, 0.13380614119989712, 0.1337223843385289, 0.09168030965230214, -0.004375288757538192, -0.24483138698402768, 0.07736848985009334, -0.14181778123115305, -0.1072790945432715, -0.14704122831984087, 0.005168771950278456, 0.04820322825438708, -0.24383755907107424, 0.037393451543537036, 0.05985347091774243, 0.0929270311003076, -0.05198127678534613, -0.1314283594111699, 0.012500491687187962, 0.1357456633936784, 0.029798433983362176, -0.032962625637784404, 0.14566534114514593, -0.1580836498802467, -0.14050636879393671, 0.43292833664424085, 0.016110636564572737, -0.21133364687119824, 0.2722242866358202, -0.10146583164235565, -0.15901681126150138, 0.1306046537029271, 0.1978586600009912, 0.08959864918751265, -0.16506636145203588, 0.04952664265075844, -0.019893343237782614, 0.19360075204852312, -0.006815693295542516, 0.03262437861777988, 0.24790997015391447, 0.20406884349444332, 0.02008907189645981, 0.11920496472504691, -0.042513744499278715, -0.12106404916742464, -0.270013812296336, -0.1456557287502839, -0.18750126441952839, 0.024051777867819455, -0.08433115791810564, -0.21610802317987762, 0.36759258350479157, 0.19384027734471887, 0.16061144089097998, 0.04050686715545096, 0.29026289610496536, 0.048727236483459134, 0.10523477311130443, 0.0265349989492154, 0.21656594055079326, 0.10590085435469994, 0.08067416407021821, -0.10705044449860948, 0.11853799303792709, 0.01723610457973372] |
711.3036 | Calculation of bound states and resonances in perturbed Coulomb models | We calculate accurate bound states and resonances of two interesting
perturbed Coulomb models by means of the Riccati-Pad\'{e} method. This approach
is based on a rational approximation to a modified logarithmic derivative of
the eigenfunction and produces sequences of roots of Hankel determinants that
converge towards the eigenvalues of the equation.
| math-ph math.MP | we calculate accurate bound states and resonances of two interesting perturbed coulomb models by means of the riccatipade method this approach is based on a rational approximation to a modified logarithmic derivative of the eigenfunction and produces sequences of roots of hankel determinants that converge towards the eigenvalues of the equation | [['we', 'calculate', 'accurate', 'bound', 'states', 'and', 'resonances', 'of', 'two', 'interesting', 'perturbed', 'coulomb', 'models', 'by', 'means', 'of', 'the', 'riccatipade', 'method', 'this', 'approach', 'is', 'based', 'on', 'a', 'rational', 'approximation', 'to', 'a', 'modified', 'logarithmic', 'derivative', 'of', 'the', 'eigenfunction', 'and', 'produces', 'sequences', 'of', 'roots', 'of', 'hankel', 'determinants', 'that', 'converge', 'towards', 'the', 'eigenvalues', 'of', 'the', 'equation']] | [-0.13400184832269088, 0.046729570419034534, -0.14907566285189972, 0.10777828191388764, -0.04344285067682173, -0.1154222089121593, 0.04483665772725134, 0.29280814583248954, -0.2219827887328232, -0.23716663781042194, 0.059137935248002704, -0.33116456442603875, -0.22903913948411012, 0.16726942070960707, 0.01652627632000647, 0.09525083057472811, 0.09509733691811562, 0.07850685085663024, -0.09971205512627813, -0.22115678233368433, 0.36708203272200096, 0.025822369783532386, 0.19020722543035506, 0.07151029054440704, 0.13480634857699567, -0.04692663203961417, 0.02085987756065294, -0.06334343406499601, -0.11848244036838307, 0.1987380582197825, 0.18909553954625724, 0.0621363611837082, 0.2968725541460456, -0.3986348242078926, -0.12574117291061318, 0.11960714503976644, 0.19543086562086553, 0.08740745367044035, -0.02286819892013263, -0.2992158055250697, 0.057220765517330636, -0.13471038508064606, -0.22261840396323332, -0.1291453139308621, 0.0055849460117957175, 0.0671965565130699, -0.32855201311701654, 0.13679301937786387, 0.06664429539266754, -0.007266475581655316, -0.08376558940154592, -0.16178186633167604, 0.01698461177247558, 0.06637877403922818, 0.028118505685900647, -0.0324068482892186, 0.06724851916306744, -0.08730116949471481, -0.07912081201542534, 0.3317567229581376, -0.10862628284695686, -0.24995195065789363, 0.08389567308511366, -0.1431136605439379, -0.0930848676236529, 0.14889906598071712, 0.14407335539512775, 0.19068270256998493, -0.088138559029675, 0.11429206540068503, -0.017552804877506753, 0.1116780773416965, 0.10824359325217266, 5.957532637551719e-05, 0.13302330848048716, 0.07754483928575236, 0.06828774604946375, 0.14765930970144622, -0.011757643240522229, -0.15794055594825276, -0.2748222088843, -0.1412624316823591, -0.25591380386522006, 0.06039486936859641, -0.12600199055262185, -0.24961429761320936, 0.45908837742457514, 0.128935743168946, 0.1819419759353075, 0.10283258004004464, 0.26378972857606175, 0.22869838261063777, 0.03607624339387186, 0.030977387931189322, 0.1911068988927439, 0.17999837350775943, 0.011416524420401045, -0.24987783258342566, 0.02320887877003235, 0.20873535190727197] |
711.3037 | Tie-points and fixed-points in N^* | A point x is a (bow) tie-point of a space X if X setminus {x} can be
partitioned into (relatively) clopen sets each with x in its closure.
Tie-points have appeared in the construction of non-trivial autohomeomorphisms
of betaN setminus N and in the recent study of (precisely) 2-to-1 maps on betaN
setminus N . In these cases the tie-points have been the unique fixed point of
an involution on betaN setminus N. This paper is motivated by the search for
2-to-1 maps and obtaining tie-points of strikingly differing characteristics.
| math.LO math.GN | a point x is a bow tiepoint of a space x if x setminus x can be partitioned into relatively clopen sets each with x in its closure tiepoints have appeared in the construction of nontrivial autohomeomorphisms of betan setminus n and in the recent study of precisely 2to1 maps on betan setminus n in these cases the tiepoints have been the unique fixed point of an involution on betan setminus n this paper is motivated by the search for 2to1 maps and obtaining tiepoints of strikingly differing characteristics | [['a', 'point', 'x', 'is', 'a', 'bow', 'tiepoint', 'of', 'a', 'space', 'x', 'if', 'x', 'setminus', 'x', 'can', 'be', 'partitioned', 'into', 'relatively', 'clopen', 'sets', 'each', 'with', 'x', 'in', 'its', 'closure', 'tiepoints', 'have', 'appeared', 'in', 'the', 'construction', 'of', 'nontrivial', 'autohomeomorphisms', 'of', 'betan', 'setminus', 'n', 'and', 'in', 'the', 'recent', 'study', 'of', 'precisely', '2to1', 'maps', 'on', 'betan', 'setminus', 'n', 'in', 'these', 'cases', 'the', 'tiepoints', 'have', 'been', 'the', 'unique', 'fixed', 'point', 'of', 'an', 'involution', 'on', 'betan', 'setminus', 'n', 'this', 'paper', 'is', 'motivated', 'by', 'the', 'search', 'for', '2to1', 'maps', 'and', 'obtaining', 'tiepoints', 'of', 'strikingly', 'differing', 'characteristics']] | [-0.19458968804500412, 0.0833082137319712, -0.0830371577967628, -0.015084576541217818, -0.007593336590994777, -0.13270706320286133, 0.0754188191095953, 0.3671378101525682, -0.28776425981287207, -0.18536996146078022, 0.07677864386331228, -0.35882635708647165, -0.08367772527160698, 0.15623112101097372, -0.09644401714917314, -0.011603672513241221, 0.034456942792919075, 0.07439747485175227, -0.09322507247286901, -0.2584392389811031, 0.33366746528681074, -0.09396438578959931, 0.174914171511119, 0.016985717700438552, 0.12022182318183143, -0.05387665207754151, 0.0007368667715679059, 0.025078156244694328, -0.1762578504348404, 0.08887799006750745, 0.26919844503033113, 0.12818870509011943, 0.20313186596639538, -0.35661112196910916, -0.17665703592297433, 0.20855265858928473, 0.16129492603116827, -0.08164908709475414, -0.002340668145295107, -0.2711394840663069, 0.14530680057582226, -0.08057399062711872, -0.0999684931835934, -0.031100778400981695, 0.15525001438146227, 0.024945755005196742, -0.2598683762107714, -0.06899839811278193, 0.11146772909239772, 0.0687662638995922, 0.008267464172461311, -0.17860678902544666, -0.08623628775076417, 0.10414624936732181, 0.005613111825450585, 0.1777574863949309, 0.028871788988622388, -0.05971079721282958, -0.09129728094329324, 0.3538433118943083, -0.040604615086961664, -0.2031340867587041, 0.1370627405174244, -0.18896219496918695, -0.2262132073323546, 0.17177710667503684, 0.09220915590412915, 0.1645298142069846, -0.06777060983618827, 0.24414375590636614, -0.16028725015773868, 0.13100362194798823, 0.11408654068795483, 0.03035257942058941, 0.17577092394264143, 0.14856528344281603, 0.08422329945338032, 0.10442027581327208, -0.04900584306588836, 0.04819924786184611, -0.34776548873842433, -0.14207394578882618, -0.13117763635524538, 0.1547596495954341, -0.10259947983850201, -0.16800786711777863, 0.337294564985283, 0.06422735979320125, 0.2724214533469483, 0.026484814943389945, 0.19269516597386827, 0.061663858508795834, 0.00116914322892769, 0.07548779550563084, 0.0766331838715947, 0.10772187673758842, -0.02137265932024195, -0.11697998016109962, 0.04914700605231599, 0.13874885063157993] |
711.3038 | More on Tie-points and homeomorphism in N^* | A point x is a (bow) tie-point of a space X if X setminus {x} can be
partitioned into (relatively) clopen sets each with x in its closure.
Tie-points have appeared in the construction of non-trivial autohomeomorphisms
of betaN setminus N= N^* and in the recent study of (precisely) 2-to-1 maps on
N^*. In these cases the tie-points have been the unique fixed point of an
involution on N^*. One application of the results in this paper is the
consistency of there being a 2-to-1 continuous image of N^* which is not a
homeomorph of N^* .
| math.LO math.GN | a point x is a bow tiepoint of a space x if x setminus x can be partitioned into relatively clopen sets each with x in its closure tiepoints have appeared in the construction of nontrivial autohomeomorphisms of betan setminus n n and in the recent study of precisely 2to1 maps on n in these cases the tiepoints have been the unique fixed point of an involution on n one application of the results in this paper is the consistency of there being a 2to1 continuous image of n which is not a homeomorph of n | [['a', 'point', 'x', 'is', 'a', 'bow', 'tiepoint', 'of', 'a', 'space', 'x', 'if', 'x', 'setminus', 'x', 'can', 'be', 'partitioned', 'into', 'relatively', 'clopen', 'sets', 'each', 'with', 'x', 'in', 'its', 'closure', 'tiepoints', 'have', 'appeared', 'in', 'the', 'construction', 'of', 'nontrivial', 'autohomeomorphisms', 'of', 'betan', 'setminus', 'n', 'n', 'and', 'in', 'the', 'recent', 'study', 'of', 'precisely', '2to1', 'maps', 'on', 'n', 'in', 'these', 'cases', 'the', 'tiepoints', 'have', 'been', 'the', 'unique', 'fixed', 'point', 'of', 'an', 'involution', 'on', 'n', 'one', 'application', 'of', 'the', 'results', 'in', 'this', 'paper', 'is', 'the', 'consistency', 'of', 'there', 'being', 'a', '2to1', 'continuous', 'image', 'of', 'n', 'which', 'is', 'not', 'a', 'homeomorph', 'of', 'n']] | [-0.18966474002809264, 0.09134811941127434, -0.09293361422169255, -0.016158683077568032, 0.001655884016751467, -0.12494550909226139, 0.062346665868972195, 0.37418435626508045, -0.2692455655778758, -0.19574947394721676, 0.10074070977680094, -0.32975840901296277, -0.0886709401374901, 0.15208024323025407, -0.08356833741224061, 0.0010087749924423406, 0.03893245165818371, 0.11749499862101705, -0.08399686341484387, -0.2890631949667295, 0.31862154888221994, -0.08666797052137554, 0.18406876588899954, 0.016514417385527242, 0.11990179849090055, -0.04463765020652014, 0.015776988625172333, 0.031946120782303446, -0.11335652356501669, 0.10034489003980222, 0.26683596408353577, 0.13480600260421247, 0.247646580299867, -0.35997161191577715, -0.17300718938076898, 0.1843702052719891, 0.14583408934413455, -0.040501352471134545, -0.009924964137705198, -0.24274810799397528, 0.14086676025181077, -0.10605420448700897, -0.10000426943588536, -0.016054247942520306, 0.13612425310808854, 0.01691599532447678, -0.2728190262447849, -0.06470593210542575, 0.1255249182965296, 0.05763031308500407, 0.012525473157438682, -0.13474973455110253, -0.07776562930181778, 0.11493119682321169, 0.010925930849528717, 0.15616496332465127, 0.02313823100121226, -0.07409607488807524, -0.08749829187096718, 0.3638656942833525, -0.04621345322326912, -0.21828805955980593, 0.1480354910599999, -0.18652453683898784, -0.2158567499233565, 0.16846247585878396, 0.10854528640872256, 0.16730784834362566, -0.06474147764674854, 0.23836563716698342, -0.16750490457828468, 0.15590965733220705, 0.09081601069192402, 0.02164327582916788, 0.16260460425595133, 0.16678828140720725, 0.09062578886005213, 0.11430762786888711, -0.0534624681022251, 0.03070679846374939, -0.36346587107982486, -0.17294350710077802, -0.17145360718131997, 0.137369923140947, -0.10417123806822322, -0.1759535909125892, 0.33223053587425966, 0.07647057512561635, 0.2715188330766978, 0.01391480542103333, 0.22036528849275783, 0.06336803741093415, 0.023113925537472824, 0.07015289488966421, 0.09661802814419691, 0.10953751539636869, -0.008810831602507582, -0.12068869982128187, 0.03909648626601362, 0.11431689452729188] |
711.3039 | Wilson line correlator in the MV model: relating the glasma to deep
inelastic scattering | In the color glass condensate framework the saturation scale measured in deep
inelastic scattering of high energy hadrons and nuclei can be determined from
the correlator of Wilson lines in the hadron wavefunction. These same Wilson
lines give the initial condition of the classical field computation of the
initial gluon multiplicity and energy density in a heavy ion collision. In this
paper the Wilson line correlator in both adjoint and fundamental
representations is computed using exactly the same numerical procedure that has
been used to calculate gluon production in a heavy ion collision. In particular
the discretization of the longitudinal coordinate has a large numerical effect
on the relation between the color charge density parameter g^2 mu and the
saturation scale Qs. Our result for this relation is Qs = 0.6 g^2 mu, which
results in the classical Yang-Mills value for the "gluon liberation
coefficient" c = 1.1.
| hep-ph nucl-th | in the color glass condensate framework the saturation scale measured in deep inelastic scattering of high energy hadrons and nuclei can be determined from the correlator of wilson lines in the hadron wavefunction these same wilson lines give the initial condition of the classical field computation of the initial gluon multiplicity and energy density in a heavy ion collision in this paper the wilson line correlator in both adjoint and fundamental representations is computed using exactly the same numerical procedure that has been used to calculate gluon production in a heavy ion collision in particular the discretization of the longitudinal coordinate has a large numerical effect on the relation between the color charge density parameter g2 mu and the saturation scale qs our result for this relation is qs 06 g2 mu which results in the classical yangmills value for the gluon liberation coefficient c 11 | [['in', 'the', 'color', 'glass', 'condensate', 'framework', 'the', 'saturation', 'scale', 'measured', 'in', 'deep', 'inelastic', 'scattering', 'of', 'high', 'energy', 'hadrons', 'and', 'nuclei', 'can', 'be', 'determined', 'from', 'the', 'correlator', 'of', 'wilson', 'lines', 'in', 'the', 'hadron', 'wavefunction', 'these', 'same', 'wilson', 'lines', 'give', 'the', 'initial', 'condition', 'of', 'the', 'classical', 'field', 'computation', 'of', 'the', 'initial', 'gluon', 'multiplicity', 'and', 'energy', 'density', 'in', 'a', 'heavy', 'ion', 'collision', 'in', 'this', 'paper', 'the', 'wilson', 'line', 'correlator', 'in', 'both', 'adjoint', 'and', 'fundamental', 'representations', 'is', 'computed', 'using', 'exactly', 'the', 'same', 'numerical', 'procedure', 'that', 'has', 'been', 'used', 'to', 'calculate', 'gluon', 'production', 'in', 'a', 'heavy', 'ion', 'collision', 'in', 'particular', 'the', 'discretization', 'of', 'the', 'longitudinal', 'coordinate', 'has', 'a', 'large', 'numerical', 'effect', 'on', 'the', 'relation', 'between', 'the', 'color', 'charge', 'density', 'parameter', 'g2', 'mu', 'and', 'the', 'saturation', 'scale', 'qs', 'our', 'result', 'for', 'this', 'relation', 'is', 'qs', '06', 'g2', 'mu', 'which', 'results', 'in', 'the', 'classical', 'yangmills', 'value', 'for', 'the', 'gluon', 'liberation', 'coefficient', 'c', '11']] | [-0.07900549100922447, 0.2135393142234534, -0.12861526667535916, 0.09859575746478895, 0.020203297364538256, -0.08951594180440249, -0.010194429178077932, 0.35112446052826024, -0.205892274794105, -0.25435754397807464, 0.03041821155674781, -0.25709644014857813, -0.014688495482790144, 0.1073962853015847, 0.01606114597513487, 0.08610951684874622, 0.06527110647843921, 0.050614481772717136, -0.08158863310172694, -0.19667236085292206, 0.3278988730417539, 0.031410241934705256, 0.282675120858348, 0.17046593448580943, 0.0795764610177697, 0.029580886696213345, -0.02486952668341349, 0.013381242774401421, -0.10046438136233107, 0.08688653533487287, 0.21379561530113578, 0.0568721063486109, 0.15780237859453086, -0.36594694073962636, -0.16301975766143423, 0.08745680846375962, 0.16924718689262766, 0.10652702400294987, -0.0314519898686877, -0.22305513696413334, 0.057713726548197335, -0.18756684264939993, -0.1664590768720189, -0.043634010418254425, 0.03268533287177577, -0.0007775557699472937, -0.3170164631590349, 0.09137320909202609, -0.030867519463119032, 0.06723320450512565, -0.051837499025405374, -0.1576609303122259, -0.04723119363826636, 0.06210367948020974, 0.0820167672928831, 0.1019833511098811, 0.15554331216565653, -0.19301349523617592, -0.09880200834874676, 0.36468292188460694, -0.08575118329911811, -0.16561951812046535, 0.14084769866735458, -0.22037503936755382, -0.13470967433236744, 0.14145758679605683, 0.16525483901663493, 0.11730578604907002, -0.1470076543125898, 0.11869379248763498, -0.052246644552350556, 0.13246324678352908, 0.10835682969278822, 0.031684914110260316, 0.19228067700049445, 0.13127502428498503, -0.010432012159096664, 0.0915114606408903, -0.12725920603795565, -0.09849537507318318, -0.3561089287116511, -0.14612620519569833, -0.17082364499817718, 0.05256173217889202, -0.13888448007262874, -0.12337033109251436, 0.37528844093521163, 0.11863434507356269, 0.24358403191691239, -0.014239737980086866, 0.2940154651639192, 0.17771208356852222, 0.08978930826391388, 0.08418746441379445, 0.25380074624641963, 0.189503154698249, 0.16907298505905863, -0.3190930482392416, -0.017292460238510002, 0.1306325562540697] |
711.304 | Quantifying Disorder in Point Patterns | Disorder in point patterns can be quantified by means of the complexity,
rather than in terms of geometric attributes of pattern structure. A
complexity-based disorder-quantifying statistic indicates the practical
difficulties associated with modeling processes that produce jammed patterns,
particularly with the assessment of model fit and with the simulation of
high-intensity hard-core patterns.
| cond-mat.stat-mech | disorder in point patterns can be quantified by means of the complexity rather than in terms of geometric attributes of pattern structure a complexitybased disorderquantifying statistic indicates the practical difficulties associated with modeling processes that produce jammed patterns particularly with the assessment of model fit and with the simulation of highintensity hardcore patterns | [['disorder', 'in', 'point', 'patterns', 'can', 'be', 'quantified', 'by', 'means', 'of', 'the', 'complexity', 'rather', 'than', 'in', 'terms', 'of', 'geometric', 'attributes', 'of', 'pattern', 'structure', 'a', 'complexitybased', 'disorderquantifying', 'statistic', 'indicates', 'the', 'practical', 'difficulties', 'associated', 'with', 'modeling', 'processes', 'that', 'produce', 'jammed', 'patterns', 'particularly', 'with', 'the', 'assessment', 'of', 'model', 'fit', 'and', 'with', 'the', 'simulation', 'of', 'highintensity', 'hardcore', 'patterns']] | [-0.08812709444464417, 0.1452439591790048, -0.1368370341280332, 0.09722501899187382, -0.026940639668072645, -0.11899853513862652, 0.0589547254360066, 0.35397860694390076, -0.26370094759533036, -0.33086773631377864, 0.05702229903992982, -0.27660433504766285, -0.1974772072683733, 0.1944206874916115, -0.05118593260144385, 0.055672190904330746, 0.06991836269242832, -0.029616207448550716, -0.06085511473849273, -0.1676972328658359, 0.2895438659649629, 0.10030078081987225, 0.30862656830308527, -0.0011886264927362879, 0.04268416356689368, -0.00044250664695237693, -0.05212389924921668, 0.06611777822343776, -0.07756977061846836, 0.11879463360394137, 0.25213400265112373, 0.12531077675521374, 0.22263662807661325, -0.4364675491188581, -0.2694384849522836, 0.10433573315654379, 0.14218306730393893, 0.05717306874262599, -0.03544117358083335, -0.3002086472697556, 0.07945340796588705, -0.14163219144281286, -0.1473497716998771, -0.08399094664491713, -0.027651601900848057, 0.06610014083651969, -0.2841284219500197, 0.11075734442028289, 0.05565837593390965, 0.1473682698292228, -0.015783290647400115, -0.07585220485746574, -0.019119015644089535, 0.09638348804750982, 0.057824448535729274, -0.0012020830494853167, 0.12325275791450761, -0.19973483344969842, -0.1555609763152181, 0.4472007631109311, 0.009957120282286689, -0.23349244391115812, 0.1790006545981249, -0.1621968911226409, -0.10984055388969584, 0.18252474192279175, 0.15171018723720828, 0.05582926708918352, -0.14290839934591743, 0.0068928590749587435, -0.0198058073158161, 0.187187933061348, 0.03179444195344471, 0.05396147234401164, 0.22200447988982958, 0.21343864847977573, 0.010446306694155702, 0.20178341265329017, -0.07157066704082983, -0.12993678751473242, -0.24638913181395486, -0.06808287258564423, -0.15645821632530826, -0.027041231729806617, -0.15570347040389046, -0.18779435750240317, 0.3995697968908084, 0.15787949815141752, 0.21986667439341545, 0.027087167465092186, 0.2568078911505066, 0.0964689194885208, 0.050906385151812665, -0.0040585644310340285, 0.1417990488653931, 0.09049677193755858, 0.03600562065660667, -0.19509739110855243, 0.17362144871395474, 0.018728609232661817] |
711.3041 | LIGO: The Laser Interferometer Gravitational-Wave Observatory | The goal of the Laser Interferometric Gravitational-Wave Observatory (LIGO)
is to detect and study gravitational waves of astrophysical origin. Direct
detection of gravitational waves holds the promise of testing general
relativity in the strong-field regime, of providing a new probe of exotic
objects such as black hole and neutron stars, and of uncovering unanticipated
new astrophysics. LIGO, a joint Caltech-MIT project supported by the National
Science Foundation, operates three multi-kilometer interferometers at two
widely separated sites in the United States. These detectors are the result of
decades of worldwide technology development, design, construction, and
commissioning. They are now operating at their design sensitivity, and are
sensitive to gravitational wave strains smaller than 1 part in 1E21. With this
unprecedented sensitivity, the data are being analyzed to detect or place
limits on gravitational waves from a variety of potential astrophysical
sources.
| gr-qc | the goal of the laser interferometric gravitationalwave observatory ligo is to detect and study gravitational waves of astrophysical origin direct detection of gravitational waves holds the promise of testing general relativity in the strongfield regime of providing a new probe of exotic objects such as black hole and neutron stars and of uncovering unanticipated new astrophysics ligo a joint caltechmit project supported by the national science foundation operates three multikilometer interferometers at two widely separated sites in the united states these detectors are the result of decades of worldwide technology development design construction and commissioning they are now operating at their design sensitivity and are sensitive to gravitational wave strains smaller than 1 part in 1e21 with this unprecedented sensitivity the data are being analyzed to detect or place limits on gravitational waves from a variety of potential astrophysical sources | [['the', 'goal', 'of', 'the', 'laser', 'interferometric', 'gravitationalwave', 'observatory', 'ligo', 'is', 'to', 'detect', 'and', 'study', 'gravitational', 'waves', 'of', 'astrophysical', 'origin', 'direct', 'detection', 'of', 'gravitational', 'waves', 'holds', 'the', 'promise', 'of', 'testing', 'general', 'relativity', 'in', 'the', 'strongfield', 'regime', 'of', 'providing', 'a', 'new', 'probe', 'of', 'exotic', 'objects', 'such', 'as', 'black', 'hole', 'and', 'neutron', 'stars', 'and', 'of', 'uncovering', 'unanticipated', 'new', 'astrophysics', 'ligo', 'a', 'joint', 'caltechmit', 'project', 'supported', 'by', 'the', 'national', 'science', 'foundation', 'operates', 'three', 'multikilometer', 'interferometers', 'at', 'two', 'widely', 'separated', 'sites', 'in', 'the', 'united', 'states', 'these', 'detectors', 'are', 'the', 'result', 'of', 'decades', 'of', 'worldwide', 'technology', 'development', 'design', 'construction', 'and', 'commissioning', 'they', 'are', 'now', 'operating', 'at', 'their', 'design', 'sensitivity', 'and', 'are', 'sensitive', 'to', 'gravitational', 'wave', 'strains', 'smaller', 'than', '1', 'part', 'in', '1e21', 'with', 'this', 'unprecedented', 'sensitivity', 'the', 'data', 'are', 'being', 'analyzed', 'to', 'detect', 'or', 'place', 'limits', 'on', 'gravitational', 'waves', 'from', 'a', 'variety', 'of', 'potential', 'astrophysical', 'sources']] | [-0.1494395730251858, 0.1577138781827618, -0.03980751111563565, 0.09741208558915641, -0.10366587689740286, -0.08766086556462814, -0.01120478485920129, 0.3110962764231785, -0.17363802886541016, -0.3527436700474093, 0.11903780619816287, -0.30322234061263176, -0.0959052999239867, 0.2959705127548237, 0.03507908200845122, 0.0503465514967515, 0.07766586596794102, -0.05722266582070269, -0.03324415782159464, -0.18197995470246245, 0.2963625210661279, 0.14499050605556238, 0.25585033346736885, -0.004630457410804819, 0.07915897320270997, -0.041061782733658736, -0.07607409837225493, -0.044519868949293225, -0.1064976936786611, 0.07586002214953043, 0.35252876226128876, 0.20017240819541496, 0.25896758095199324, -0.4495023684306205, -0.22035877818669417, 0.06342003313129417, 0.05961709511314478, 0.11679037922885323, -0.0701607743327074, -0.37968842450704804, 0.02576018884724033, -0.1890727641378138, -0.1789441077153374, -0.015039653112382992, 0.045802922608951725, 0.045082883799678064, -0.19216139788361455, 0.0003712999042245033, -0.007144946507954349, 0.013335292283243136, -0.06847215765257082, -0.09809233349633227, 0.020480313771944224, 0.11570273476494206, 0.044233080963064254, 0.06188355293377991, 0.159793607995211, -0.13939912968308435, -0.1247684157392739, 0.38775955623798614, -0.04504423272558505, -0.060066897867490414, 0.23933386419346367, -0.23783347335900518, -0.16099130323467156, 0.1317289920753219, 0.22294476782174213, 0.11373978650764278, -0.1549942435129829, 0.03933948546140185, 0.08766671175323174, 0.15378584433768783, 0.15419293360184014, 0.11590816287882288, 0.36063457760905876, 0.22861793404107617, 0.06637328445567223, 0.07436547059467927, -0.1760480431249311, -0.026414673923906208, -0.2980714885558447, -0.11134244980601816, -0.15710569072541766, 0.06330352684217623, -0.03872699138509748, -0.11316246939510903, 0.36104803810409014, 0.1404710322520628, 0.03911633820077269, -0.025006263962258465, 0.28828373660697887, 0.023991932170431846, 0.05485538894182368, 0.006154655981673926, 0.3865962905161407, 0.11594136898992988, 0.10440003238550886, -0.1439606673033584, 0.04020330856345, -0.0275678017406144] |
711.3042 | A free-boundary problem for the evolution $p$-Laplacian equation with a
combustion boundary condition | We study the existence, uniqueness and regularity of solutions of the
equation $f_t = \Delta_p f = \text{div} (|Df|^{p-2} Df)$ under over-determined
boundary conditions $f = 0$ and $|Df| = 1$. We show that if the initial data is
concave and Lipschitz with a bounded and convex support, then the problem
admits a unique solution which exists until it vanishes identically.
Furthermore, the free-boundary of the support of $f$ is smooth for all positive
time.
| math.AP | we study the existence uniqueness and regularity of solutions of the equation f_t delta_p f textdiv dfp2 df under overdetermined boundary conditions f 0 and df 1 we show that if the initial data is concave and lipschitz with a bounded and convex support then the problem admits a unique solution which exists until it vanishes identically furthermore the freeboundary of the support of f is smooth for all positive time | [['we', 'study', 'the', 'existence', 'uniqueness', 'and', 'regularity', 'of', 'solutions', 'of', 'the', 'equation', 'f_t', 'delta_p', 'f', 'textdiv', 'dfp2', 'df', 'under', 'overdetermined', 'boundary', 'conditions', 'f', '0', 'and', 'df', '1', 'we', 'show', 'that', 'if', 'the', 'initial', 'data', 'is', 'concave', 'and', 'lipschitz', 'with', 'a', 'bounded', 'and', 'convex', 'support', 'then', 'the', 'problem', 'admits', 'a', 'unique', 'solution', 'which', 'exists', 'until', 'it', 'vanishes', 'identically', 'furthermore', 'the', 'freeboundary', 'of', 'the', 'support', 'of', 'f', 'is', 'smooth', 'for', 'all', 'positive', 'time']] | [-0.22447945496865682, 0.0446118398103863, -0.10231354207332645, -0.0025218519947624632, -0.08279923814282353, -0.22289981742256454, 0.0018759468703397682, 0.32310023637754576, -0.34225757079465047, -0.12244365743494459, 0.17589113169399623, -0.30102496072649954, -0.1250536908628419, 0.14278648511639663, -0.037703045723693714, 0.11452798848040402, 0.06463990023891841, 0.07191710261894124, -0.09812491189888013, -0.23744314398084368, 0.40469663252255744, -0.14084353768931968, 0.19924249112539524, 0.09848341657364341, 0.16196211569975796, -0.0364482434133866, 0.08168259672820569, 0.012956192144857985, -0.23612083535959494, 0.001462777003845466, 0.23604663425856934, 0.15637879898505552, 0.3545838697680405, -0.3623884028089898, -0.16181258807357932, 0.1949188054140125, 0.08863106771771397, -0.04373759324828695, -0.07150965350280915, -0.2256611419375986, 0.17091472005205496, -0.042834970461470744, -0.2142847159278712, -0.041409869744841545, 0.06756244434842042, 0.06903386840796365, -0.392377671093813, 0.11329379152240497, 0.14407679342797824, -0.0006207038781472615, -0.22364515312282102, -0.0888612277406667, -0.10444422165996262, 0.05049965416879526, 0.058165254410622376, 0.12861074160152514, 0.022053690567346556, -0.09569234747572669, 0.005556601824771081, 0.31025045716336797, -0.11125461890229157, -0.30321227639381376, 0.16240387087953942, -0.16564691186483418, -0.10132296904921531, 0.12967785873583385, 0.10641442025745554, 0.17858974542468786, -0.10559469288481134, 0.23963733779466045, -0.10935267796573628, 0.15080114253796637, 0.11799683417858822, -0.034072165424004194, 0.07099360527936369, 0.09678512307416115, 0.22079235945961306, 0.12545252310644303, -0.015927898454745966, -0.03044324348281537, -0.38072173004703863, -0.1494298283243552, -0.17696718326270847, 0.14303341635635922, -0.08883015053662738, -0.20793155427756055, 0.34460746361208816, 0.07498653329177095, 0.15895520318299533, 0.158985509725088, 0.23235776378340753, 0.17408023435356362, -0.07265558399792228, 0.16246555229382856, 0.14326569294290883, 0.1297525118005329, 0.07303600933934962, -0.21268048659299632, 0.06646446241065859, 0.07041960842304563] |
711.3043 | Karp height of models of stable theories | A trichotomy theorem for countable, stable, unsuperstable theories is
offered. We develop the notion of a `regular ideal' of formulas and study types
that are minimal with respect to such an ideal.
| math.LO | a trichotomy theorem for countable stable unsuperstable theories is offered we develop the notion of a regular ideal of formulas and study types that are minimal with respect to such an ideal | [['a', 'trichotomy', 'theorem', 'for', 'countable', 'stable', 'unsuperstable', 'theories', 'is', 'offered', 'we', 'develop', 'the', 'notion', 'of', 'a', 'regular', 'ideal', 'of', 'formulas', 'and', 'study', 'types', 'that', 'are', 'minimal', 'with', 'respect', 'to', 'such', 'an', 'ideal']] | [-0.13311423268169165, 0.11252552323886418, -0.08683604476672988, 0.09145071982751571, -0.09430032325608115, -0.16581437096840912, 0.015624624767130422, 0.32946793934811025, -0.2935537448333156, -0.1818101296084933, 0.11759765823221495, -0.2759239803398809, -0.11802686870308413, 0.22058301459765062, -0.12596408815278987, 0.01635364142637099, 0.029109477065503597, 0.08335025981068611, -0.08322046122573797, -0.20638616863758333, 0.3725112448821986, -0.01326916886553649, 0.2536279882394498, 0.0287898194886023, 0.11560873927608613, -0.009785656111254808, -0.022416909841159658, 0.09881115903056437, -0.2379785290134849, 0.15819764488767232, 0.26369157253253844, 0.14797764199395333, 0.27029868816175767, -0.3917771225134211, -0.12787643241726102, 0.1860149307777324, 0.03819795788055466, 0.0631125633034014, -0.024359574451321555, -0.21275250595663825, 0.21419032302594954, -0.22132904967293143, -0.2659376236279645, -0.12654323013679636, 0.061180487515464906, 0.03844266666489984, -0.31596043657871986, -0.03240766357480278, 0.19227929915031117, 0.12285639769247463, -0.06905422111852996, 0.019420428351769523, 0.008306183183806078, 0.0560060904151009, -0.01071202530405454, -0.027305445115592693, 0.01344049639338928, -0.09204181178563065, -0.1755763837887395, 0.40727970797208046, -0.07111046939427333, -0.22997647499845875, 0.2389558159535931, -0.08924853089716166, -0.15021188537620248, 0.07310014001784786, 0.060287100563366565, 0.15867490105090604, -0.08392592035834828, 0.14504392336746078, -0.14530779956088913, 0.07369313839702837, 0.08107704787905659, 0.09640103772342686, 0.20203042111449665, 0.15579827141857916, 0.11202464604209508, 0.2028832794918168, 0.04090954026868267, -0.06521475343634525, -0.3415829637238095, -0.20742332800141267, -0.10487259326562766, 0.0714237758243877, -0.10196639472691928, -0.2522200866331977, 0.3759625442926922, 0.08076563710346818, 0.11054140293309765, 0.1446862568357779, 0.23399165074431127, 0.11312978402260811, -0.019132188821752227, 0.04968521775557629, 0.1228681666506154, 0.15595976774009965, -0.06741810337670388, -0.10102138201135301, 0.0369502970528218, 0.14426124985179595] |
711.3044 | Charm Physics Opportunities at a Super Flavor Factory | The primary physics goals of a high luminosity e+e- flavor factory are
discussed, including the possibilities to perform detailed studies of the CKM
mechanism of quark mixing, and constrain virtual Higgs and non-standard model
particle contributions to the dynamics of rare B_{u,d,s} decays. The large
samples of D mesons and tau leptons produced at a flavor factory will result in
improved sensitivities to rare D processes - mixing, CP violation and rare
decays - and lepton flavor violation searches, respectively. Recent
developments in accelerator physics have demonstrated the feasibility to build
an accelerator that can achieve luminosities of ~10^36 cm-2 s^-1 at sqrt{s}=10
GeV. The capablity to run at sqrt{s}=3.770 GeV with luminosity of ~10^35 cm^-2
s^-1 is included in the initial design. This report emphasizes the charm
physics that can be probed at a Super Flavor Factory.
| hep-ex | the primary physics goals of a high luminosity ee flavor factory are discussed including the possibilities to perform detailed studies of the ckm mechanism of quark mixing and constrain virtual higgs and nonstandard model particle contributions to the dynamics of rare b_uds decays the large samples of d mesons and tau leptons produced at a flavor factory will result in improved sensitivities to rare d processes mixing cp violation and rare decays and lepton flavor violation searches respectively recent developments in accelerator physics have demonstrated the feasibility to build an accelerator that can achieve luminosities of 1036 cm2 s1 at sqrts10 gev the capablity to run at sqrts3770 gev with luminosity of 1035 cm2 s1 is included in the initial design this report emphasizes the charm physics that can be probed at a super flavor factory | [['the', 'primary', 'physics', 'goals', 'of', 'a', 'high', 'luminosity', 'ee', 'flavor', 'factory', 'are', 'discussed', 'including', 'the', 'possibilities', 'to', 'perform', 'detailed', 'studies', 'of', 'the', 'ckm', 'mechanism', 'of', 'quark', 'mixing', 'and', 'constrain', 'virtual', 'higgs', 'and', 'nonstandard', 'model', 'particle', 'contributions', 'to', 'the', 'dynamics', 'of', 'rare', 'b_uds', 'decays', 'the', 'large', 'samples', 'of', 'd', 'mesons', 'and', 'tau', 'leptons', 'produced', 'at', 'a', 'flavor', 'factory', 'will', 'result', 'in', 'improved', 'sensitivities', 'to', 'rare', 'd', 'processes', 'mixing', 'cp', 'violation', 'and', 'rare', 'decays', 'and', 'lepton', 'flavor', 'violation', 'searches', 'respectively', 'recent', 'developments', 'in', 'accelerator', 'physics', 'have', 'demonstrated', 'the', 'feasibility', 'to', 'build', 'an', 'accelerator', 'that', 'can', 'achieve', 'luminosities', 'of', '1036', 'cm2', 's1', 'at', 'sqrts10', 'gev', 'the', 'capablity', 'to', 'run', 'at', 'sqrts3770', 'gev', 'with', 'luminosity', 'of', '1035', 'cm2', 's1', 'is', 'included', 'in', 'the', 'initial', 'design', 'this', 'report', 'emphasizes', 'the', 'charm', 'physics', 'that', 'can', 'be', 'probed', 'at', 'a', 'super', 'flavor', 'factory']] | [-0.05085936839233583, 0.2851525373426101, -0.026189407778542433, 0.1440465996257349, -0.06038703417071878, -0.17712810137934648, 0.06236733090907419, 0.31254575437685445, -0.19228503046515608, -0.3215092959494066, 0.031588585276691825, -0.3258257415527895, 0.09623639962510831, 0.16990591396504678, 0.0796162347211989, 0.058542641271566, 0.10665979953274242, -0.07761247282667058, -0.09910127508311546, -0.22804848524939908, 0.18332378255592577, 0.0940925993438838, 0.2122550017891952, 0.13916212524315202, 0.05571242521774135, -0.06850412450800303, -0.05067124715380704, -0.13293487235292126, -0.09955708878933636, 0.021863517950031795, 0.23003965137142396, 0.1694055724673585, 0.10396765949510371, -0.36058347890459336, -0.09330569925446953, 0.15034936505644372, 0.1524386657262916, 0.009212306304487274, -0.07899009690050092, -0.32467419352146115, 0.06755595953345347, -0.2209176151881189, -0.17890927082608774, -0.05518354016439572, 0.02007699668852251, -0.07545059806417062, -0.35389011073857546, 0.06887088606564967, -0.08426800004246561, 0.028250556074277455, 0.07063845706992407, -0.22135113339190052, 0.0058256081460085485, -0.020076400861005064, 0.12854181586351218, 0.07066470320656229, 0.18667855926914445, -0.19259680549912989, -0.20953180370921853, 0.42204996017711377, -0.04202572122275301, -0.09338600270505716, 0.21357311997145637, -0.2588907425403039, -0.2270442431674464, 0.1443740287100646, 0.2914049968040034, 0.03881929520845114, -0.20821642869416235, 0.11502634006710515, -0.013153248303222344, 0.13505876068470637, 0.009444424738315171, 0.0912685077428929, 0.25874349733800694, 0.2753942543327975, 0.02071065480869486, 0.015759012195344237, -0.11588491374842211, 0.03290906111681973, -0.41572635588861667, -0.0917646305204661, -0.058080388809929585, 0.11310373571937654, -0.021681573144103742, -0.009531626422236214, 0.39724563537235025, 0.10881698701822602, 0.22733374585487895, -0.026663558680995077, 0.2638334128206401, 0.05118246507872619, 0.06408489599942105, 0.04475898200771146, 0.3397145117772048, 0.15076610415395517, 0.17488087966704546, -0.2746469775360745, 0.011265472336081482, 0.03808112095332524] |
711.3045 | Generalized E-Algebras via lambda-Calculus I | An R-algebra A is called E(R)-algebra if the canonical homomorphism from A to
the endomorphism algebra End_RA of the R-module {}_R A, taking any a in A to
the right multiplication a_r in End_R A by a is an isomorphism of algebras. In
this case {}_R A is called an E(R)-module. E(R)-algebras come up naturally in
various topics of algebra, so it's not surprising that they were investigated
thoroughly in the last decade. Despite some efforts it remained an open
question whether proper generalized E(R)-algebras exist. These are R-algebras A
isomorphic to End_R A but not under the above canonical isomorphism, so not
E(R)-algebras. This question was raised about 30 years ago (for R=Z) by Phil
Schultz and we will answer it. For PIDs R of characteristic 0 that are neither
quotient fields nor complete discrete valuation rings - we will establish the
existence of generalized E(R)-algebras. It can be shown that E(R)-algebras over
rings R that are complete discrete valuation rings or fields must trivial
(copies of R). The main tool is an interesting connection between
lambda-calculus (used in theoretical computer sciences) and algebra. It seems
reasonable to divide the work into two parts, in this paper we will work in V=L
(Godel universe) hence stronger combinatorial methods make the final arguments
more transparent. The proof based entirely on ordinary set theory (the axioms
of ZFC) will appear in a subsequent paper.
| math.LO math.GR | an ralgebra a is called eralgebra if the canonical homomorphism from a to the endomorphism algebra end_ra of the rmodule _r a taking any a in a to the right multiplication a_r in end_r a by a is an isomorphism of algebras in this case _r a is called an ermodule eralgebras come up naturally in various topics of algebra so its not surprising that they were investigated thoroughly in the last decade despite some efforts it remained an open question whether proper generalized eralgebras exist these are ralgebras a isomorphic to end_r a but not under the above canonical isomorphism so not eralgebras this question was raised about 30 years ago for rz by phil schultz and we will answer it for pids r of characteristic 0 that are neither quotient fields nor complete discrete valuation rings we will establish the existence of generalized eralgebras it can be shown that eralgebras over rings r that are complete discrete valuation rings or fields must trivial copies of r the main tool is an interesting connection between lambdacalculus used in theoretical computer sciences and algebra it seems reasonable to divide the work into two parts in this paper we will work in vl godel universe hence stronger combinatorial methods make the final arguments more transparent the proof based entirely on ordinary set theory the axioms of zfc will appear in a subsequent paper | [['an', 'ralgebra', 'a', 'is', 'called', 'eralgebra', 'if', 'the', 'canonical', 'homomorphism', 'from', 'a', 'to', 'the', 'endomorphism', 'algebra', 'end_ra', 'of', 'the', 'rmodule', '_r', 'a', 'taking', 'any', 'a', 'in', 'a', 'to', 'the', 'right', 'multiplication', 'a_r', 'in', 'end_r', 'a', 'by', 'a', 'is', 'an', 'isomorphism', 'of', 'algebras', 'in', 'this', 'case', '_r', 'a', 'is', 'called', 'an', 'ermodule', 'eralgebras', 'come', 'up', 'naturally', 'in', 'various', 'topics', 'of', 'algebra', 'so', 'its', 'not', 'surprising', 'that', 'they', 'were', 'investigated', 'thoroughly', 'in', 'the', 'last', 'decade', 'despite', 'some', 'efforts', 'it', 'remained', 'an', 'open', 'question', 'whether', 'proper', 'generalized', 'eralgebras', 'exist', 'these', 'are', 'ralgebras', 'a', 'isomorphic', 'to', 'end_r', 'a', 'but', 'not', 'under', 'the', 'above', 'canonical', 'isomorphism', 'so', 'not', 'eralgebras', 'this', 'question', 'was', 'raised', 'about', '30', 'years', 'ago', 'for', 'rz', 'by', 'phil', 'schultz', 'and', 'we', 'will', 'answer', 'it', 'for', 'pids', 'r', 'of', 'characteristic', '0', 'that', 'are', 'neither', 'quotient', 'fields', 'nor', 'complete', 'discrete', 'valuation', 'rings', 'we', 'will', 'establish', 'the', 'existence', 'of', 'generalized', 'eralgebras', 'it', 'can', 'be', 'shown', 'that', 'eralgebras', 'over', 'rings', 'r', 'that', 'are', 'complete', 'discrete', 'valuation', 'rings', 'or', 'fields', 'must', 'trivial', 'copies', 'of', 'r', 'the', 'main', 'tool', 'is', 'an', 'interesting', 'connection', 'between', 'lambdacalculus', 'used', 'in', 'theoretical', 'computer', 'sciences', 'and', 'algebra', 'it', 'seems', 'reasonable', 'to', 'divide', 'the', 'work', 'into', 'two', 'parts', 'in', 'this', 'paper', 'we', 'will', 'work', 'in', 'vl', 'godel', 'universe', 'hence', 'stronger', 'combinatorial', 'methods', 'make', 'the', 'final', 'arguments', 'more', 'transparent', 'the', 'proof', 'based', 'entirely', 'on', 'ordinary', 'set', 'theory', 'the', 'axioms', 'of', 'zfc', 'will', 'appear', 'in', 'a', 'subsequent', 'paper']] | [-0.13754018963269857, 0.09220152492941242, -0.13079456958968566, 0.08816130046288413, -0.12974415145464666, -0.1497432655455569, -0.008332762935078869, 0.3778984477493391, -0.34491750920459824, -0.2260519336486097, 0.11579047867267771, -0.22947438160361933, -0.12473075880107824, 0.1912606179187538, -0.15721995298502617, -0.050736416855422316, 0.0313378155178606, 0.07769480447272677, -0.05515586545862594, -0.3135174944748752, 0.3198632631048267, 0.01698903968622786, 0.19988761494428278, 0.06580222102962882, 0.06648481626335051, -0.022026569928781242, -0.026333329859535376, 0.03150357387983596, -0.16155702062014707, 0.07203547591262184, 0.2981275015116128, 0.14494485608769753, 0.2925868080567983, -0.39786961432302365, -0.1122233037141408, 0.17523934510963518, 0.16027456245539654, 0.04117507712435644, -0.02715962662192023, -0.23105942479367306, 0.12092368887860926, -0.1915628195081443, -0.10209993728615474, -0.05538589022260598, 0.11766913740216514, -0.05215282632265744, -0.22409396279220953, -0.014367837084693158, 0.1421052760853306, 0.09955029133259925, -0.043331766866328496, -0.08250812919582667, -0.012460704782558809, 0.05862797394407075, -0.0031022458431270855, 0.05534419916187897, 0.0729759481397974, -0.08036243499817904, -0.13125126341187016, 0.36409869895206853, -0.01982452831095134, -0.1792175716285362, 0.15687510681411812, -0.14021050309920968, -0.16866900044896002, 0.10183096954987413, 0.04398682582147387, 0.12415840849140557, -0.1256577170964363, 0.17440652210005117, -0.14579612403034384, 0.13419996257251185, 0.0921561074967793, -0.009981330438399093, 0.20730240568193287, 0.0869307058851141, 0.04323856231825646, 0.09933010239802773, 0.05064973484063379, -0.0449248157684614, -0.3258604412887237, -0.17718737962626238, -0.12682109992690874, 0.13241158562093946, -0.013251540324153524, -0.14530781376534996, 0.37352748939769514, 0.12651036281594152, 0.17010803836767407, 0.03161656793499748, 0.2386988321294821, 0.05871151229088331, 0.0879437449798964, 0.07278485994311466, 0.19507089964946323, 0.1921026736314741, 0.053998891371464984, -0.09591356595428091, 0.020243648469893415, 0.0885166069319854] |
711.3046 | The gravitational wave signal of the short rise fling of galactic run
away pulsars | Determination of pulsar parallaxes and proper motions addresses fundamental
astrophysical open issues. Here, the ATNF Catalog is scrutinized searching for
pulsar distances and proper motions. For a sample of 212 run away pulsars
(RAPs), which currently run across the Galaxy at very high speed and undergo
large displacements, some gravitational-wave (GW) signals produced by such
present accelerations appear to be detectable after calibration against the
Advanced LIGO (LIGO II). Motivated by this insight, we address the issue of the
pulsar kick at birth. We show that during the short rise fling each run away
pulsar (RAP) generates a GW signal with characteristic amplitude and frequency
that makes it detectable by current GW interferometers. For a realistic
analysis, an efficiency parameter is introduced to quantify the expenditure of
the rise fling kinetic energy, which is estimated from the linear momentum
conservation law applied to the supernova explosion that kicks out the pulsar.
The remaining energy is supposed to be used to make the star to spin. Thus, a
comparison with the spin of ATNF pulsars having velocity in the interval
400-500 km s$^{-1}$ is performed. The resulting difference suggests that other
mechanisms should dissipate part of that energy to produce the observed pulsar
spin periods. Meanwhile, the kick phenomenon may also occur in globular and
open star clusters at the formation or disruption of very short period compact
binary systems wherein abrupt velocity and acceleration similar to those given
to RAPs during the short rise fling can be imparted to each orbital partner.
Thus pulsar astrometry from micro- to nano-arsec scales might be of much help.
In case of a supernova, the RAP GW signal could be a benchmark for the GW
signal from the core collapse.
| astro-ph gr-qc | determination of pulsar parallaxes and proper motions addresses fundamental astrophysical open issues here the atnf catalog is scrutinized searching for pulsar distances and proper motions for a sample of 212 run away pulsars raps which currently run across the galaxy at very high speed and undergo large displacements some gravitationalwave gw signals produced by such present accelerations appear to be detectable after calibration against the advanced ligo ligo ii motivated by this insight we address the issue of the pulsar kick at birth we show that during the short rise fling each run away pulsar rap generates a gw signal with characteristic amplitude and frequency that makes it detectable by current gw interferometers for a realistic analysis an efficiency parameter is introduced to quantify the expenditure of the rise fling kinetic energy which is estimated from the linear momentum conservation law applied to the supernova explosion that kicks out the pulsar the remaining energy is supposed to be used to make the star to spin thus a comparison with the spin of atnf pulsars having velocity in the interval 400500 km s1 is performed the resulting difference suggests that other mechanisms should dissipate part of that energy to produce the observed pulsar spin periods meanwhile the kick phenomenon may also occur in globular and open star clusters at the formation or disruption of very short period compact binary systems wherein abrupt velocity and acceleration similar to those given to raps during the short rise fling can be imparted to each orbital partner thus pulsar astrometry from micro to nanoarsec scales might be of much help in case of a supernova the rap gw signal could be a benchmark for the gw signal from the core collapse | [['determination', 'of', 'pulsar', 'parallaxes', 'and', 'proper', 'motions', 'addresses', 'fundamental', 'astrophysical', 'open', 'issues', 'here', 'the', 'atnf', 'catalog', 'is', 'scrutinized', 'searching', 'for', 'pulsar', 'distances', 'and', 'proper', 'motions', 'for', 'a', 'sample', 'of', '212', 'run', 'away', 'pulsars', 'raps', 'which', 'currently', 'run', 'across', 'the', 'galaxy', 'at', 'very', 'high', 'speed', 'and', 'undergo', 'large', 'displacements', 'some', 'gravitationalwave', 'gw', 'signals', 'produced', 'by', 'such', 'present', 'accelerations', 'appear', 'to', 'be', 'detectable', 'after', 'calibration', 'against', 'the', 'advanced', 'ligo', 'ligo', 'ii', 'motivated', 'by', 'this', 'insight', 'we', 'address', 'the', 'issue', 'of', 'the', 'pulsar', 'kick', 'at', 'birth', 'we', 'show', 'that', 'during', 'the', 'short', 'rise', 'fling', 'each', 'run', 'away', 'pulsar', 'rap', 'generates', 'a', 'gw', 'signal', 'with', 'characteristic', 'amplitude', 'and', 'frequency', 'that', 'makes', 'it', 'detectable', 'by', 'current', 'gw', 'interferometers', 'for', 'a', 'realistic', 'analysis', 'an', 'efficiency', 'parameter', 'is', 'introduced', 'to', 'quantify', 'the', 'expenditure', 'of', 'the', 'rise', 'fling', 'kinetic', 'energy', 'which', 'is', 'estimated', 'from', 'the', 'linear', 'momentum', 'conservation', 'law', 'applied', 'to', 'the', 'supernova', 'explosion', 'that', 'kicks', 'out', 'the', 'pulsar', 'the', 'remaining', 'energy', 'is', 'supposed', 'to', 'be', 'used', 'to', 'make', 'the', 'star', 'to', 'spin', 'thus', 'a', 'comparison', 'with', 'the', 'spin', 'of', 'atnf', 'pulsars', 'having', 'velocity', 'in', 'the', 'interval', '400500', 'km', 's1', 'is', 'performed', 'the', 'resulting', 'difference', 'suggests', 'that', 'other', 'mechanisms', 'should', 'dissipate', 'part', 'of', 'that', 'energy', 'to', 'produce', 'the', 'observed', 'pulsar', 'spin', 'periods', 'meanwhile', 'the', 'kick', 'phenomenon', 'may', 'also', 'occur', 'in', 'globular', 'and', 'open', 'star', 'clusters', 'at', 'the', 'formation', 'or', 'disruption', 'of', 'very', 'short', 'period', 'compact', 'binary', 'systems', 'wherein', 'abrupt', 'velocity', 'and', 'acceleration', 'similar', 'to', 'those', 'given', 'to', 'raps', 'during', 'the', 'short', 'rise', 'fling', 'can', 'be', 'imparted', 'to', 'each', 'orbital', 'partner', 'thus', 'pulsar', 'astrometry', 'from', 'micro', 'to', 'nanoarsec', 'scales', 'might', 'be', 'of', 'much', 'help', 'in', 'case', 'of', 'a', 'supernova', 'the', 'rap', 'gw', 'signal', 'could', 'be', 'a', 'benchmark', 'for', 'the', 'gw', 'signal', 'from', 'the', 'core', 'collapse']] | [-0.12773103274306968, 0.1680542648374205, -0.07352601260747434, 0.11352222065947819, -0.1585351031412485, -0.08677758540337284, 0.05053558704083818, 0.37499509285155097, -0.2524795568303058, -0.3344120429534661, 0.0892130311500902, -0.2620027192530279, -0.02018892631473902, 0.2717971277235305, -0.018527939452446605, -0.0364169854687102, 0.15518392809634016, -0.0031456204931856247, -0.04799441772415058, -0.20673385244684922, 0.2321716469524657, 0.11931854204587197, 0.16058382203704433, -0.019420696377321228, 0.10721164949712131, -0.06348550243266417, -0.03574486094120514, -0.013925944440262883, -0.1040914075349288, 0.02450143474566734, 0.25696347590766666, 0.13749056320408717, 0.21831098634324836, -0.41475541700449214, -0.20481147829018403, 0.08667321820138839, 0.1344693127341503, 0.10704029361888963, -0.0380829291965551, -0.31577396573000505, 0.07679891370343077, -0.25109181383690027, -0.18069587439601667, 0.028517459332942963, 0.07804233978406461, 0.07606728090822958, -0.2122538735669335, 0.10634268617886528, 0.025082890884828214, -0.0064790296891148675, -0.08548847435271008, -0.077634000352159, -0.001362390085858734, 0.07732883970612628, 0.06589606019562078, 0.09738746697671319, 0.1397008006068829, -0.09720956215945382, -0.0883789032109474, 0.40721766401016923, -0.04212530329578409, -0.08586962337441244, 0.190540001218681, -0.1903414155307569, -0.14835081270307696, 0.17130138899216005, 0.1865957868301816, 0.04881249635182668, -0.16992383863115193, -0.023246584159093336, 0.07721821754647974, 0.20390755643888392, 0.10974438270357878, 0.053460228541894535, 0.3229752575847925, 0.1377392972989024, 0.06831034669293123, 0.08795026076054854, -0.21686799844988344, -0.05545066727913524, -0.25156019667874235, -0.06602622269113598, -0.17030686300019163, 0.1103934338193779, -0.07695187727416244, -0.1051124554093245, 0.38414089360944276, 0.1425501125987227, 0.15947126179046137, 0.006028755172053679, 0.2761042676348057, 0.11233524171749881, 0.08444389788614659, 0.11561800620453269, 0.3095468024336202, 0.10769070189266482, 0.10905579293081373, -0.22657089706330577, 0.08317915876947442, -0.017146893249612237] |
711.3047 | Far-infrared polarimetry from the Stratospheric Observatory for Infrared
Astronomy | Multi-wavelength imaging polarimetry at far-infrared wavelengths has proven
to be an excellent tool for studying the physical properties of dust, molecular
clouds, and magnetic fields in the interstellar medium. Although these
wavelengths are only observable from airborne or space-based platforms, no
first-generation instrument for the Stratospheric Observatory for Infrared
Astronomy (SOFIA) is presently designed with polarimetric capabilities. We
study several options for upgrading the High-resolution Airborne Wideband
Camera (HAWC) to a sensitive FIR polarimeter. HAWC is a 12 x 32 pixel bolometer
camera designed to cover the 53 - 215 micron spectral range in 4 colors, all at
diffraction-limited resolution (5 - 21 arcsec). Upgrade options include: (1) an
external set of optics which modulates the polarization state of the incoming
radiation before entering the cryostat window; (2) internal polarizing optics;
and (3) a replacement of the current detector array with two state-of-the-art
superconducting bolometer arrays, an upgrade of the HAWC camera as well as
polarimeter. We discuss a range of science studies which will be possible with
these upgrades including magnetic fields in star-forming regions and galaxies
and the wavelength-dependence of polarization.
| astro-ph | multiwavelength imaging polarimetry at farinfrared wavelengths has proven to be an excellent tool for studying the physical properties of dust molecular clouds and magnetic fields in the interstellar medium although these wavelengths are only observable from airborne or spacebased platforms no firstgeneration instrument for the stratospheric observatory for infrared astronomy sofia is presently designed with polarimetric capabilities we study several options for upgrading the highresolution airborne wideband camera hawc to a sensitive fir polarimeter hawc is a 12 x 32 pixel bolometer camera designed to cover the 53 215 micron spectral range in 4 colors all at diffractionlimited resolution 5 21 arcsec upgrade options include 1 an external set of optics which modulates the polarization state of the incoming radiation before entering the cryostat window 2 internal polarizing optics and 3 a replacement of the current detector array with two stateoftheart superconducting bolometer arrays an upgrade of the hawc camera as well as polarimeter we discuss a range of science studies which will be possible with these upgrades including magnetic fields in starforming regions and galaxies and the wavelengthdependence of polarization | [['multiwavelength', 'imaging', 'polarimetry', 'at', 'farinfrared', 'wavelengths', 'has', 'proven', 'to', 'be', 'an', 'excellent', 'tool', 'for', 'studying', 'the', 'physical', 'properties', 'of', 'dust', 'molecular', 'clouds', 'and', 'magnetic', 'fields', 'in', 'the', 'interstellar', 'medium', 'although', 'these', 'wavelengths', 'are', 'only', 'observable', 'from', 'airborne', 'or', 'spacebased', 'platforms', 'no', 'firstgeneration', 'instrument', 'for', 'the', 'stratospheric', 'observatory', 'for', 'infrared', 'astronomy', 'sofia', 'is', 'presently', 'designed', 'with', 'polarimetric', 'capabilities', 'we', 'study', 'several', 'options', 'for', 'upgrading', 'the', 'highresolution', 'airborne', 'wideband', 'camera', 'hawc', 'to', 'a', 'sensitive', 'fir', 'polarimeter', 'hawc', 'is', 'a', '12', 'x', '32', 'pixel', 'bolometer', 'camera', 'designed', 'to', 'cover', 'the', '53', '215', 'micron', 'spectral', 'range', 'in', '4', 'colors', 'all', 'at', 'diffractionlimited', 'resolution', '5', '21', 'arcsec', 'upgrade', 'options', 'include', '1', 'an', 'external', 'set', 'of', 'optics', 'which', 'modulates', 'the', 'polarization', 'state', 'of', 'the', 'incoming', 'radiation', 'before', 'entering', 'the', 'cryostat', 'window', '2', 'internal', 'polarizing', 'optics', 'and', '3', 'a', 'replacement', 'of', 'the', 'current', 'detector', 'array', 'with', 'two', 'stateoftheart', 'superconducting', 'bolometer', 'arrays', 'an', 'upgrade', 'of', 'the', 'hawc', 'camera', 'as', 'well', 'as', 'polarimeter', 'we', 'discuss', 'a', 'range', 'of', 'science', 'studies', 'which', 'will', 'be', 'possible', 'with', 'these', 'upgrades', 'including', 'magnetic', 'fields', 'in', 'starforming', 'regions', 'and', 'galaxies', 'and', 'the', 'wavelengthdependence', 'of', 'polarization']] | [-0.07863742506352783, 0.1568335874030432, -0.0441500196717062, 0.011218525749728989, -0.08728847244898505, -0.12257238197557176, -0.04731187389805612, 0.4948995856063965, -0.17502939955264493, -0.38318531516713, 0.14082052790783656, -0.3025058656905196, -0.03331929160595887, 0.24140963220752734, -0.0029132496256854654, 0.04237248879845784, 0.0654653881712513, -0.13489091590314445, -0.0003314963159233702, -0.20594691346304295, 0.20336295617101147, 0.1678537183459874, 0.2197476251775049, 0.0017509729889586814, 0.1489249404249018, -0.03921224213609194, -0.08012629331099846, -0.04537467534000373, -0.09917964792851544, 0.025895473118279725, 0.3287385803086488, 0.12280306684268762, 0.1663371883069026, -0.39034207795041703, -0.196644291868279, 0.06885976670293822, 0.07833215596607129, -0.022793017390816992, -0.018278416800595696, -0.30583394511000805, 0.011865922157235897, -0.15277395563525564, -0.20288973879223451, 0.050270017477019965, -0.007123233565227103, 0.03917410717994098, -0.24665003667523808, -0.09096974088650876, -0.05817154143713106, 0.13963925979455202, -0.10741014869816766, -0.15607458255408094, 0.015528268323573206, 0.09548099634484568, -0.0905371979416029, 0.08676068713111566, 0.17011481070716078, -0.20467022366471876, -0.05019298568367958, 0.35101201773224944, -0.05629296079586718, -0.018492623517876335, 0.1853362724843605, -0.24462506761362787, -0.13358684049312086, 0.2074547813773073, 0.15503782526337803, 0.088107212734774, -0.19481071929102609, 0.05392485045447164, 0.03771171989228103, 0.24159644934662633, 0.10905769649759264, 0.15293076562306726, 0.3170416514049619, 0.1976058756873444, 0.1041395173656358, 0.12216609221746765, -0.30576573795438305, 0.01852083638489236, -0.2885758289295501, -0.13676990666915534, -0.15516676440724372, 0.08787802374633595, -0.07285803390984573, -0.0870240508670049, 0.361071251826721, 0.18844054955268763, 0.07593245731244759, -0.022012063546507563, 0.3698080047162363, -0.001990577488290583, 0.12496325344963832, 0.0215156568595059, 0.30551020089197306, 0.1048018054802547, 0.18948308947542425, -0.16973583491709474, -0.04269751410632914, -0.04848971565508731] |
711.3048 | Volumes of Space as Subsystems | As a novel approach with possible relevance to semiclassical gravity, we
propose to define regions of space as quantum subsystems. After recalling how
to divide a generic quantum system into ``parts'', we apply this idea to a free
scalar field in Minkowski space and we compare two different localization
schemes. The first scheme is the standard one, induced by the local
relativistic fields; the alternative scheme that we consider is the one induced
by the Newton-Wigner operators. If degrees of freedom are divided according to
the latter, the Hamiltonian of the field exhibits a certain amount of
non-locality. Moreover, when a region of space is cut off from the rest
according to the Newton-Wigner scheme, the geometric entropy is finite and
exhibits a sensible thermodynamic behaviour.
| gr-qc hep-th quant-ph | as a novel approach with possible relevance to semiclassical gravity we propose to define regions of space as quantum subsystems after recalling how to divide a generic quantum system into parts we apply this idea to a free scalar field in minkowski space and we compare two different localization schemes the first scheme is the standard one induced by the local relativistic fields the alternative scheme that we consider is the one induced by the newtonwigner operators if degrees of freedom are divided according to the latter the hamiltonian of the field exhibits a certain amount of nonlocality moreover when a region of space is cut off from the rest according to the newtonwigner scheme the geometric entropy is finite and exhibits a sensible thermodynamic behaviour | [['as', 'a', 'novel', 'approach', 'with', 'possible', 'relevance', 'to', 'semiclassical', 'gravity', 'we', 'propose', 'to', 'define', 'regions', 'of', 'space', 'as', 'quantum', 'subsystems', 'after', 'recalling', 'how', 'to', 'divide', 'a', 'generic', 'quantum', 'system', 'into', 'parts', 'we', 'apply', 'this', 'idea', 'to', 'a', 'free', 'scalar', 'field', 'in', 'minkowski', 'space', 'and', 'we', 'compare', 'two', 'different', 'localization', 'schemes', 'the', 'first', 'scheme', 'is', 'the', 'standard', 'one', 'induced', 'by', 'the', 'local', 'relativistic', 'fields', 'the', 'alternative', 'scheme', 'that', 'we', 'consider', 'is', 'the', 'one', 'induced', 'by', 'the', 'newtonwigner', 'operators', 'if', 'degrees', 'of', 'freedom', 'are', 'divided', 'according', 'to', 'the', 'latter', 'the', 'hamiltonian', 'of', 'the', 'field', 'exhibits', 'a', 'certain', 'amount', 'of', 'nonlocality', 'moreover', 'when', 'a', 'region', 'of', 'space', 'is', 'cut', 'off', 'from', 'the', 'rest', 'according', 'to', 'the', 'newtonwigner', 'scheme', 'the', 'geometric', 'entropy', 'is', 'finite', 'and', 'exhibits', 'a', 'sensible', 'thermodynamic', 'behaviour']] | [-0.13511935547215953, 0.16094992343070252, -0.138877680440182, 0.06848665779467583, -0.061512355908884535, -0.13346072548763857, 0.037026226540864814, 0.3278850716804819, -0.2734323604298489, -0.24288979280991332, 0.0461872929941848, -0.24820314414267028, -0.13467878244432901, 0.15042067573420584, -0.07348076854892525, -0.004937879985109681, -0.0007198430479518951, 0.07733624332976187, -0.09227698189548277, -0.2337388605404172, 0.3980694195008024, 0.02538363929534893, 0.28038351872699363, 0.022136121726824002, 0.14196748063263911, 0.026610658350696283, 0.013650238517642257, 0.06291403614297797, -0.11485218643128829, 0.11493633441915292, 0.19006717733628603, 0.12442096682738453, 0.27564316571483183, -0.39922410324363716, -0.22579874357740795, 0.10024945127467315, 0.11659229837638872, 0.13706851306016601, 0.011984530819713004, -0.27922565418310347, 0.07057122809494594, -0.17034175734789597, -0.13686332043762955, -0.08718479010793898, -0.009980988372782511, -0.046942852888374575, -0.230614822491863, 0.05618544623610519, 0.047175990392653536, 0.0039355821079678005, -0.045877096028850664, -0.03654104477027431, 0.003491319333469229, 0.11447788822203173, 0.041778988806375615, 0.02783257470536415, 0.13237382585389745, -0.08936533840957082, -0.10920921095281041, 0.4115640509518839, -0.06590302193552137, -0.23243759915653972, 0.16518723185632436, -0.12634464396193387, -0.08125702400011794, 0.10296853308358954, 0.12098362270949616, 0.12820894309940437, -0.13263910921303915, 0.11347883644362261, -0.008453215635935998, 0.12726195222358144, 0.022191896702029874, 0.07664967344201629, 0.20187261810023632, 0.1153442790151559, 0.08781518155546297, 0.2110526207945354, -0.07589212096931916, -0.15180891249670705, -0.36501545506337335, -0.18654620841825528, -0.17034708406953586, 0.03294898968906925, -0.08565610293497605, -0.14198633066807237, 0.4204421646032671, 0.15271687288010966, 0.22491797172863567, 0.00654204553991024, 0.30328406154599397, 0.12717989174601074, 0.0652399579624808, 0.06411550340190944, 0.22329407918547828, 0.13087015086969744, 0.06099427330847238, -0.22932551154268108, -0.028940625427778633, 0.12498181008748592] |
711.3049 | The inverse inertia problem for graphs | Let G be an undirected graph on n vertices and let S(G) be the set of all
real symmetric n x n matrices whose nonzero off-diagonal entries occur in
exactly the positions corresponding to the edges of G. The inverse inertia
problem for G asks which inertias can be attained by a matrix in S(G). We give
a complete answer to this question for trees in terms of a new family of graph
parameters, the maximal disconnection numbers of a graph. We also give a
formula for the inertia set of a graph with a cut vertex in terms of inertia
sets of proper subgraphs. Finally, we give an example of a graph that is not
inertia-balanced, and investigate restrictions on the inertia set of any graph.
| math.CO math.SP | let g be an undirected graph on n vertices and let sg be the set of all real symmetric n x n matrices whose nonzero offdiagonal entries occur in exactly the positions corresponding to the edges of g the inverse inertia problem for g asks which inertias can be attained by a matrix in sg we give a complete answer to this question for trees in terms of a new family of graph parameters the maximal disconnection numbers of a graph we also give a formula for the inertia set of a graph with a cut vertex in terms of inertia sets of proper subgraphs finally we give an example of a graph that is not inertiabalanced and investigate restrictions on the inertia set of any graph | [['let', 'g', 'be', 'an', 'undirected', 'graph', 'on', 'n', 'vertices', 'and', 'let', 'sg', 'be', 'the', 'set', 'of', 'all', 'real', 'symmetric', 'n', 'x', 'n', 'matrices', 'whose', 'nonzero', 'offdiagonal', 'entries', 'occur', 'in', 'exactly', 'the', 'positions', 'corresponding', 'to', 'the', 'edges', 'of', 'g', 'the', 'inverse', 'inertia', 'problem', 'for', 'g', 'asks', 'which', 'inertias', 'can', 'be', 'attained', 'by', 'a', 'matrix', 'in', 'sg', 'we', 'give', 'a', 'complete', 'answer', 'to', 'this', 'question', 'for', 'trees', 'in', 'terms', 'of', 'a', 'new', 'family', 'of', 'graph', 'parameters', 'the', 'maximal', 'disconnection', 'numbers', 'of', 'a', 'graph', 'we', 'also', 'give', 'a', 'formula', 'for', 'the', 'inertia', 'set', 'of', 'a', 'graph', 'with', 'a', 'cut', 'vertex', 'in', 'terms', 'of', 'inertia', 'sets', 'of', 'proper', 'subgraphs', 'finally', 'we', 'give', 'an', 'example', 'of', 'a', 'graph', 'that', 'is', 'not', 'inertiabalanced', 'and', 'investigate', 'restrictions', 'on', 'the', 'inertia', 'set', 'of', 'any', 'graph']] | [-0.17906436837825274, 0.1432512875857471, -0.052773469039017244, 0.006405042698754678, -0.11750887995881457, -0.09053370358038043, 0.05996824400074455, 0.3376694284822969, -0.2746675055740135, -0.30991690344221534, 0.08613859436711267, -0.28412730370958644, -0.13183412969755454, 0.13508073848095678, -0.08971077345851218, -0.031432506842686544, 0.12108652071014697, 0.16564449867499725, -0.023288308178991197, -0.25179581704045023, 0.32234784449258497, -0.057658333615917295, 0.14536644535375728, 0.07273657131378376, 0.1210006616403541, 0.016004555130613937, 0.02937934156839869, 0.10730844440441283, -0.15137277664793405, 0.10229696630267426, 0.25706937598685425, 0.13900594845680253, 0.22942521148139522, -0.3949739077971095, -0.14141997336853473, 0.26618255076870795, 0.1070115894433998, 0.03709428521919079, 0.03159954851781506, -0.22698580665099952, 0.15972227707046957, -0.15875719810673405, -0.11279219078890507, -0.023393957441421375, 0.13900245603410497, -0.00292584372477399, -0.3228043167785342, -0.02194931275153067, 0.11137928223858277, 0.05813300394497457, 0.030567606526707845, -0.1815975302338807, -0.020396812983404195, 0.10640255526624738, -0.0619814114620134, 0.023963827861561662, 0.03757173066130943, -0.09036813756369705, -0.1592355436527185, 0.401981237663662, -0.029582877054400297, -0.2348742369850654, 0.055348207382300486, -0.1545110474791496, -0.13355878099710458, 0.09301255018420754, 0.17607293022234763, 0.1440617138564232, -0.10390920616272423, 0.1515903885555749, -0.13479589510779266, 0.09473532584259316, 0.07861337908321903, -0.017408099162229705, 0.16673130681738257, 0.10346848477927288, 0.15876517107059795, 0.1670960553576209, 0.029095486297996506, 0.05695143044512305, -0.33216814548959805, -0.12662669376928418, -0.25653720696342164, 0.10467730597271824, -0.21530964511741388, -0.23781253578555253, 0.4444459465347112, 0.0860941640345291, 0.2521541863827715, 0.09109160643429422, 0.1989816532189411, 0.11437688966867023, 0.011718658475382697, 0.13157588384661173, 0.06774888288170572, 0.2050608356856549, -0.04532867967934599, -0.20074273283696836, 0.05896777335170006, 0.16811504413462466] |
711.305 | Ramsey properties of subsets of $\mathbb{N}$ | We associate ergodic properties to some subsets of the natural numbers. For
any given family of subsets of the natural numbers one may study the question
of occurrence of certain "algebraic patterns" in every subset in the family. By
"algebraic pattern" we mean a set of solutions of a system of diophantine
equations. In this work we investigate a concrete family of subsets - WM sets.
These sets are characterized by the property that the dynamical systems
associated to such sets are "weakly mixing", and as such they represent a broad
family of randomly constructed subsets of (\mathbb{N}). We find that certain
systems of equations are solvable within every WM set, and our subject is to
learn which systems have this property. We give a complete characterization of
linear diophantine systems which are solvable within every WM set. In addition
we study some non-linear equations and systems of equations with regard to the
question of solvability within every WM set.
| math.DS math.CO | we associate ergodic properties to some subsets of the natural numbers for any given family of subsets of the natural numbers one may study the question of occurrence of certain algebraic patterns in every subset in the family by algebraic pattern we mean a set of solutions of a system of diophantine equations in this work we investigate a concrete family of subsets wm sets these sets are characterized by the property that the dynamical systems associated to such sets are weakly mixing and as such they represent a broad family of randomly constructed subsets of mathbbn we find that certain systems of equations are solvable within every wm set and our subject is to learn which systems have this property we give a complete characterization of linear diophantine systems which are solvable within every wm set in addition we study some nonlinear equations and systems of equations with regard to the question of solvability within every wm set | [['we', 'associate', 'ergodic', 'properties', 'to', 'some', 'subsets', 'of', 'the', 'natural', 'numbers', 'for', 'any', 'given', 'family', 'of', 'subsets', 'of', 'the', 'natural', 'numbers', 'one', 'may', 'study', 'the', 'question', 'of', 'occurrence', 'of', 'certain', 'algebraic', 'patterns', 'in', 'every', 'subset', 'in', 'the', 'family', 'by', 'algebraic', 'pattern', 'we', 'mean', 'a', 'set', 'of', 'solutions', 'of', 'a', 'system', 'of', 'diophantine', 'equations', 'in', 'this', 'work', 'we', 'investigate', 'a', 'concrete', 'family', 'of', 'subsets', 'wm', 'sets', 'these', 'sets', 'are', 'characterized', 'by', 'the', 'property', 'that', 'the', 'dynamical', 'systems', 'associated', 'to', 'such', 'sets', 'are', 'weakly', 'mixing', 'and', 'as', 'such', 'they', 'represent', 'a', 'broad', 'family', 'of', 'randomly', 'constructed', 'subsets', 'of', 'mathbbn', 'we', 'find', 'that', 'certain', 'systems', 'of', 'equations', 'are', 'solvable', 'within', 'every', 'wm', 'set', 'and', 'our', 'subject', 'is', 'to', 'learn', 'which', 'systems', 'have', 'this', 'property', 'we', 'give', 'a', 'complete', 'characterization', 'of', 'linear', 'diophantine', 'systems', 'which', 'are', 'solvable', 'within', 'every', 'wm', 'set', 'in', 'addition', 'we', 'study', 'some', 'nonlinear', 'equations', 'and', 'systems', 'of', 'equations', 'with', 'regard', 'to', 'the', 'question', 'of', 'solvability', 'within', 'every', 'wm', 'set']] | [-0.18061060149152325, 0.09749209544029813, -0.03600780445637193, 0.040722403034667405, -0.05848619442597126, -0.0962660088146738, 0.04764227430722764, 0.31624180558811193, -0.32491390070579246, -0.2589736341055096, 0.10925323323129951, -0.29554890445287124, -0.17479691502737738, 0.21794912036590325, -0.08282569437229174, 0.062253008836751465, 0.04297235936113873, 0.07542236108748746, -0.060377231741224495, -0.26945990686006144, 0.3987252293564614, -0.09908806033280192, 0.1859052220429733, -0.039161751545385794, 0.1297927934430399, -0.018994257944993348, 0.01458822063436884, 0.08463950023500237, -0.15206182039675592, 0.12001308100883784, 0.2688987503214827, 0.173481814323122, 0.30615178078600447, -0.3617516621535808, -0.1967973352128745, 0.17818954428540743, 0.10918980331083983, 0.07860238953060089, -0.01961831829390553, -0.26438298087520234, 0.14195598156115263, -0.11290500421112157, -0.14910074478636184, -0.09944968464719893, 0.047119310266285575, 0.08574879730893474, -0.2666839434993717, -0.009685405852191104, 0.08838227447967995, 0.09451060902572393, -0.07911389363554758, -0.07741418075323128, 0.013710498579912496, 0.0921664458066928, -0.0234341704529716, -0.01150753202045676, 0.046132349199761856, -0.07570727925407905, -0.10811308896280357, 0.4087400874342629, -0.02374385248755439, -0.25932292667153123, 0.2053715199724121, -0.17224154743781817, -0.20245024408858106, 0.10420282269130994, 0.1750159704114703, 0.11852129623762467, -0.14827060213886528, 0.11027469586635172, -0.16181947512013264, 0.12865677699388103, 0.07990277921575936, 0.08545820273857259, 0.1825822258643431, 0.13767997526897574, 0.06653352253836047, 0.14560967075210884, 0.036133702926018495, -0.0657700097961527, -0.31461424386398223, -0.1322150378218565, -0.13329888607299178, 0.08508760895603483, -0.07146542260993298, -0.22282027040943927, 0.40678525821499106, 0.12725333740961087, 0.20221562801901274, 0.08360232881405069, 0.14904317100467923, 0.12460560295415996, 0.004137106216366186, 0.0759160112437306, 0.10864172542779618, 0.15229903196962843, 0.008338824904424214, -0.15851378416585438, 0.03011167023928379, 0.11001871477039356] |
711.3051 | Non-existence of unbounded Fatou components of a meromorphic function | This paper is devoted to establish sufficient conditions under which a
transcendental meromorphic function has no unbounded Fatou components and to
extend some results for entire functions to meromorphic functions. Actually, we
shall mainly discuss non-existence of unbounded wandering domains of a
meromorphic function. The case for a composition of finitely many meromorphic
function with at least one of them being transcendental can be also
investigated in the argument of this paper.
| math.CV math.DS | this paper is devoted to establish sufficient conditions under which a transcendental meromorphic function has no unbounded fatou components and to extend some results for entire functions to meromorphic functions actually we shall mainly discuss nonexistence of unbounded wandering domains of a meromorphic function the case for a composition of finitely many meromorphic function with at least one of them being transcendental can be also investigated in the argument of this paper | [['this', 'paper', 'is', 'devoted', 'to', 'establish', 'sufficient', 'conditions', 'under', 'which', 'a', 'transcendental', 'meromorphic', 'function', 'has', 'no', 'unbounded', 'fatou', 'components', 'and', 'to', 'extend', 'some', 'results', 'for', 'entire', 'functions', 'to', 'meromorphic', 'functions', 'actually', 'we', 'shall', 'mainly', 'discuss', 'nonexistence', 'of', 'unbounded', 'wandering', 'domains', 'of', 'a', 'meromorphic', 'function', 'the', 'case', 'for', 'a', 'composition', 'of', 'finitely', 'many', 'meromorphic', 'function', 'with', 'at', 'least', 'one', 'of', 'them', 'being', 'transcendental', 'can', 'be', 'also', 'investigated', 'in', 'the', 'argument', 'of', 'this', 'paper']] | [-0.18446140944595552, 0.02417510030661813, -0.11890468349641499, 0.10592498137945465, -0.12818069387059142, -0.09954157129525104, 0.00531725194499207, 0.33680910436022615, -0.2931303584482521, -0.15842069887245694, 0.13215639066927704, -0.2483907866731493, -0.1723543322360557, 0.2434643836071094, -0.07883622602093965, 0.07761984617294122, 0.020956016262061894, 0.05031145428721276, -0.09674250145649745, -0.29528261529695654, 0.42703795766121605, -0.0938546341656345, 0.11865350940368241, 0.14728838624028462, 0.09252181220411633, -0.021743224506887298, -0.0083851345674096, -0.07852409769677454, -0.17527044198424038, 0.09530625450942251, 0.3266868780418817, 0.12395150667159921, 0.3581936366131736, -0.3961238644034084, -0.17602434173588538, 0.24021960413988885, 0.17689482803042564, -0.029349042175454088, -0.012373254414544337, -0.20784730798914097, 0.12119430625655998, -0.13014422767123002, -0.2636867610530721, -0.06800735079579884, 0.06098158332881414, 0.09033231693319976, -0.27026972750253564, 0.011973473679568592, 0.12202046744318472, 0.09726433283908086, -0.10515751329270036, -0.09559387545515266, -0.048392082752090775, 0.0676483880314562, 0.1029919581326087, 0.08643765942542814, 0.06309272901206794, -0.07575743179121572, -0.050973698225182794, 0.25451999600045383, -0.052894832048979074, -0.29891219799820745, 0.21622452984512266, -0.21613137597321636, -0.18517750818541068, 0.11231810067288785, 0.13085745593222478, 0.17681583572670612, -0.17697162200541547, 0.149555670872764, -0.11245071241218182, 0.14312432138022915, 0.15160466165333572, 0.011812750908171034, 0.1441546621499583, 0.06896609709494644, 0.13338922364012737, 0.2205283452527106, 0.09288667763555875, -0.03357109361483405, -0.3821103477902297, -0.15794557651032745, -0.13337728409614, 0.07005691082061578, -0.03681437026352796, -0.22603745999771896, 0.4792201983121534, 0.0940443823670244, 0.17216635634475905, 0.11308091330607163, 0.23427812917765956, 0.13749649861953608, 0.058626147504482, 0.027938038647537015, 0.16351612803676593, 0.16671052946670292, 0.06473928691250169, -0.08051536173378634, 0.05412303005707347, 0.09754004406406441] |
711.3052 | Suppressing the fragmentation of fragile molecules in helium
nanodroplets by co-embedding with water: Possible role of the electric dipole
moment | When fragile molecules such as glycine, polyglicine, alkanes, and
alkanethiols are embedded in liquid helium nanodroplets, electron-impact
ionization of the beam leads to fragmentation which is as extensive as that of
isolated gas-phase molecules. However, it turns out that if a few molecules of
water are co-embedded with the peptide and alkane chains, their fragmentation
is drastically reduced or completely eliminated. On the other hand, the
fragmentation of alkanethiols remains unaffected. On the basis of these
observations, it is proposed that the fragmentation "buffering" effect may
correlate with the magnitude of the impurity's electric dipole moment, which
steers the migration of the ionizing He^+ hole in the droplet.
| physics.atm-clus | when fragile molecules such as glycine polyglicine alkanes and alkanethiols are embedded in liquid helium nanodroplets electronimpact ionization of the beam leads to fragmentation which is as extensive as that of isolated gasphase molecules however it turns out that if a few molecules of water are coembedded with the peptide and alkane chains their fragmentation is drastically reduced or completely eliminated on the other hand the fragmentation of alkanethiols remains unaffected on the basis of these observations it is proposed that the fragmentation buffering effect may correlate with the magnitude of the impuritys electric dipole moment which steers the migration of the ionizing he hole in the droplet | [['when', 'fragile', 'molecules', 'such', 'as', 'glycine', 'polyglicine', 'alkanes', 'and', 'alkanethiols', 'are', 'embedded', 'in', 'liquid', 'helium', 'nanodroplets', 'electronimpact', 'ionization', 'of', 'the', 'beam', 'leads', 'to', 'fragmentation', 'which', 'is', 'as', 'extensive', 'as', 'that', 'of', 'isolated', 'gasphase', 'molecules', 'however', 'it', 'turns', 'out', 'that', 'if', 'a', 'few', 'molecules', 'of', 'water', 'are', 'coembedded', 'with', 'the', 'peptide', 'and', 'alkane', 'chains', 'their', 'fragmentation', 'is', 'drastically', 'reduced', 'or', 'completely', 'eliminated', 'on', 'the', 'other', 'hand', 'the', 'fragmentation', 'of', 'alkanethiols', 'remains', 'unaffected', 'on', 'the', 'basis', 'of', 'these', 'observations', 'it', 'is', 'proposed', 'that', 'the', 'fragmentation', 'buffering', 'effect', 'may', 'correlate', 'with', 'the', 'magnitude', 'of', 'the', 'impuritys', 'electric', 'dipole', 'moment', 'which', 'steers', 'the', 'migration', 'of', 'the', 'ionizing', 'he', 'hole', 'in', 'the', 'droplet']] | [-0.07539638070793787, 0.21108435504665635, -0.05049180142792328, 0.03144769089292067, 0.026636278801509795, -0.12403816282134152, 0.04282713338198966, 0.40679663678033734, -0.22419734112039771, -0.26684092406956655, 0.059368343812958246, -0.2916011081411029, -0.04580769893265206, 0.13077570850804957, 0.042524254103279056, 0.0046587226130419745, 0.06401939257179862, -0.016434789331023634, 0.0031665828197597052, -0.2479510003665708, 0.2962811796196719, 0.09863775890438053, 0.21654281187978275, 0.1406237965335472, 0.03946586130274776, -0.07540588508434769, 0.02938109768976299, -0.006552031430644247, -0.10227725430679198, 0.07527201857312389, 0.2261318872915581, 0.059487224371998375, 0.19108850654996581, -0.4862620890808274, -0.21035358947174587, 0.056607664318948564, 0.18398066207696245, 0.1484266485434623, -0.058653487518587906, -0.2329843972835971, 0.0021247661909756235, -0.15874320061279917, -0.1305063738364656, -0.0377137163689114, 0.04277212037441303, 0.09789531585515503, -0.2263022730531136, 0.09191918952109397, 0.05366443786418663, 0.022633672428299795, -0.06930954312852952, -0.14372125797782023, -0.1306948833439921, 0.08981210682546623, 0.07365324170952488, 0.041048354506580474, 0.3028353313247691, -0.11805307544890861, -0.013233298194190522, 0.426204002110885, -0.05142775845257038, -0.15027932091703955, 0.21745712030020034, -0.16915738943718234, -0.12616875121053658, 0.24448723586733048, 0.08212010505749791, 0.14374124226248208, -0.10693469486171314, -0.010090017411198889, -0.02994515904102404, 0.19287100098675714, 0.13845203696741318, 0.018781835762432444, 0.24194750165180215, 0.18096359051546557, 0.03112361399799515, 0.12322348271077059, -0.13251854948927913, -0.10279859900079176, -0.21243017548168042, -0.17726008028213708, -0.1636596314679339, 0.07646366136746024, -0.018638766159573657, -0.19020595623812867, 0.3014113703162743, 0.07781711734396424, 0.15517790476519192, -0.017604165743456555, 0.2961758956805153, 0.048343285104426786, 0.09955118550646629, -0.006627135576223428, 0.26632491824269855, 0.11903463851414481, 0.05427514381689143, -0.3083145567765108, 0.18265145702972868, -0.0007305878021244733] |
711.3053 | PICO-LON Project for WIMPs search | Highly segmented inorganic crystal has been shown to have good performance
for dark matter search. The energy resolution of ultra thin and large area
NaI(Tl) scintillator has been developed. The estimated sensitivity for
spin-dependent excitation of 127I was discussed. The recent status of low
background measurement at Oto Cosmo Observatory is reported
| nucl-ex | highly segmented inorganic crystal has been shown to have good performance for dark matter search the energy resolution of ultra thin and large area naitl scintillator has been developed the estimated sensitivity for spindependent excitation of 127i was discussed the recent status of low background measurement at oto cosmo observatory is reported | [['highly', 'segmented', 'inorganic', 'crystal', 'has', 'been', 'shown', 'to', 'have', 'good', 'performance', 'for', 'dark', 'matter', 'search', 'the', 'energy', 'resolution', 'of', 'ultra', 'thin', 'and', 'large', 'area', 'naitl', 'scintillator', 'has', 'been', 'developed', 'the', 'estimated', 'sensitivity', 'for', 'spindependent', 'excitation', 'of', '127i', 'was', 'discussed', 'the', 'recent', 'status', 'of', 'low', 'background', 'measurement', 'at', 'oto', 'cosmo', 'observatory', 'is', 'reported']] | [-0.07748452832591003, 0.15920593602081332, -0.07185932134206478, 0.04604487057748394, -0.04297585450918772, -0.12557310215197504, -0.060559826446338914, 0.44274216732726646, -0.11371070386555332, -0.4182609887077258, 0.050177278731448144, -0.3306610365577329, -0.004708318523346231, 0.20778852512683862, -0.003015534379161321, 0.1475416196671386, 0.03149003183128885, -0.005240252416115254, -0.04280600460613361, -0.23122455074022022, 0.15254257931015813, 0.2394971466408326, 0.374585068372723, 0.09264519303374422, 0.16857100401270705, -0.050318145331962466, -0.07081787069686331, -0.008330959128215909, -0.13930460022619137, 0.04731205365477273, 0.3419599822507455, 0.01471175411895204, 0.1531888282042928, -0.4129628603919767, -0.2376649203316237, 0.0957773107712945, 0.12786212381279954, 0.0395589056962098, -0.17308335092205268, -0.32218417432159185, 0.10285301665471007, -0.19420815918308038, -0.12691925515047423, -0.07993310214862084, 0.02445630379056988, 0.018678912301906027, -0.14919336395933686, 0.014793086586555896, -0.08429786523965259, 0.02390250859137338, -0.048149439559962884, -0.22876747307600453, 0.049021062038194105, 0.027476570246597894, 0.03554467650470682, 0.044013080455792636, 0.16952188517181918, -0.1453071916117691, -0.05259557962954904, 0.32163455344450015, -0.06097920516577478, -0.06422254512570082, 0.16620007447468546, -0.193369707531439, -0.14781993321510248, 0.2415091055803574, 0.14501036136621573, 0.08448735066653731, -0.21839922639684609, 0.12574163539941835, -0.00938128945171439, 0.20636340839645037, 0.09605161382709272, 0.07616429941621251, 0.2649847603662728, 0.32887559516641957, -0.003409501518875074, 0.07664018251503316, -0.23954783473163843, 0.005172122520609544, -0.18727531304690415, -0.15854717350493258, -0.17822253859888476, 0.0175439546448895, 0.031236671851869548, -0.10050667496565999, 0.35921759650899243, 0.0400241805652443, 0.06946995318867266, -0.07566071934818935, 0.2713685098032539, 0.04859906195018154, 0.10617982803915556, -0.06170593815533301, 0.39537088193285924, 0.15653601464313957, 0.14089468196331068, -0.216602720042619, 0.08667111589546458, -0.01808933233573603] |
711.3054 | The centers of spin symmetric group algebras and Catalan numbers | Generalizing the work of Farahat-Higman on symmetric groups, we describe the
structures of the even centers Z_n of integral spin symmetric group
superalgebras, which lead to universal algebras termed as the spin FH-algebras.
A connection between the odd Jucys-Murphy elements and the Catalan numbers is
developed and then used to determine the algebra generators of the spin
FH-algebras and of the even centers Z_n.
| math.CO math.QA math.RT | generalizing the work of farahathigman on symmetric groups we describe the structures of the even centers z_n of integral spin symmetric group superalgebras which lead to universal algebras termed as the spin fhalgebras a connection between the odd jucysmurphy elements and the catalan numbers is developed and then used to determine the algebra generators of the spin fhalgebras and of the even centers z_n | [['generalizing', 'the', 'work', 'of', 'farahathigman', 'on', 'symmetric', 'groups', 'we', 'describe', 'the', 'structures', 'of', 'the', 'even', 'centers', 'z_n', 'of', 'integral', 'spin', 'symmetric', 'group', 'superalgebras', 'which', 'lead', 'to', 'universal', 'algebras', 'termed', 'as', 'the', 'spin', 'fhalgebras', 'a', 'connection', 'between', 'the', 'odd', 'jucysmurphy', 'elements', 'and', 'the', 'catalan', 'numbers', 'is', 'developed', 'and', 'then', 'used', 'to', 'determine', 'the', 'algebra', 'generators', 'of', 'the', 'spin', 'fhalgebras', 'and', 'of', 'the', 'even', 'centers', 'z_n']] | [-0.17128525507163073, 0.1545691435515392, -0.05539227715220119, 0.07676186746360399, -0.0783273217680513, -0.09606829079223003, -0.0041428222473649705, 0.33317653495879446, -0.28858011801437033, -0.23294886055051303, 0.11902815684462424, -0.22864434220751778, -0.1559716515227786, 0.1616777988517138, -0.04507218742529388, -0.0519572456947482, -0.04433508564672265, 0.11754552531437795, -0.12577141891615312, -0.23096980517882792, 0.3688993598563505, 0.000795044566000827, 0.27053146858195787, -0.019281580235015174, 0.11569481245318397, 0.054650886640807646, -0.011253813281655312, -0.024250351716993284, -0.12293465324051556, 0.15462409298805918, 0.27590571783605167, 0.018541941197863857, 0.11901759003579128, -0.43622706686986273, -0.06336973293027917, 0.19142445242490436, 0.16116588571124146, 0.08216739378174859, -0.04909652643493514, -0.2570938757147457, 0.07849918594431193, -0.24725934710414682, -0.17426062065375145, -0.05840839097490076, 0.06626865618908015, 0.03703940192573383, -0.25663515717768276, 0.015170494491448168, 0.10464491922270934, 0.073158558488625, -0.06016090866483626, -0.13333045553843506, -0.0754300655461237, 0.14241692841388895, -0.016790866229652625, -0.020649032919194368, 0.1171214727410039, -0.08643471306861668, -0.21957034418420468, 0.3794255478032788, 0.0594490040399012, -0.19614302223456687, 0.1207057803556262, -0.18902821023566801, -0.16816078361551293, 0.05388025478383557, 0.11023730959850134, 0.1457116619500591, -0.03893334204789068, 0.13268493112562163, -0.09090866014117101, 0.0369372050636677, 0.09431653602247234, 0.026728623274706122, 0.19101042569172186, 0.06345103845977393, 0.04799748806008061, 0.14572424229356598, -0.01179813561182408, -0.07586503474683058, -0.2870288794615962, -0.2054472910850996, -0.1814555598644265, 0.11589022497570173, -0.10278867721699797, -0.1731265556624495, 0.4364701124121908, 0.11506103057047871, 0.1756826277944397, 0.07159352991310117, 0.16374539719802922, 0.08572523397217947, 0.165950494284024, 0.03959452674712711, 0.09292716650887713, 0.30420237947560724, -0.007143102174044632, -0.24786313452192996, -0.03383727801093435, 0.16291580791966837] |
711.3055 | Variation of Galactic Bar Length with Amplitude and Density as Evidence
for Bar Growth over a Hubble Time | K_s-band images of 20 barred galaxies show an increase in the peak amplitude
of the normalized m=2 Fourier component with the R_25-normalized radius at this
peak. This implies that longer bars have higher $m=2$ amplitudes. The long bars
also correlate with an increased density in the central parts of the disks, as
measured by the luminosity inside 0.25R_25 divided by the cube of this radius
in kpc. Because denser galaxies evolve faster, these correlations suggest that
bars grow in length and amplitude over a Hubble time with the fastest evolution
occurring in the densest galaxies. All but three of the sample have early-type
flat bars; there is no clear correlation between the correlated quantities and
the Hubble type.
| astro-ph | k_sband images of 20 barred galaxies show an increase in the peak amplitude of the normalized m2 fourier component with the r_25normalized radius at this peak this implies that longer bars have higher m2 amplitudes the long bars also correlate with an increased density in the central parts of the disks as measured by the luminosity inside 025r_25 divided by the cube of this radius in kpc because denser galaxies evolve faster these correlations suggest that bars grow in length and amplitude over a hubble time with the fastest evolution occurring in the densest galaxies all but three of the sample have earlytype flat bars there is no clear correlation between the correlated quantities and the hubble type | [['k_sband', 'images', 'of', '20', 'barred', 'galaxies', 'show', 'an', 'increase', 'in', 'the', 'peak', 'amplitude', 'of', 'the', 'normalized', 'm2', 'fourier', 'component', 'with', 'the', 'r_25normalized', 'radius', 'at', 'this', 'peak', 'this', 'implies', 'that', 'longer', 'bars', 'have', 'higher', 'm2', 'amplitudes', 'the', 'long', 'bars', 'also', 'correlate', 'with', 'an', 'increased', 'density', 'in', 'the', 'central', 'parts', 'of', 'the', 'disks', 'as', 'measured', 'by', 'the', 'luminosity', 'inside', '025r_25', 'divided', 'by', 'the', 'cube', 'of', 'this', 'radius', 'in', 'kpc', 'because', 'denser', 'galaxies', 'evolve', 'faster', 'these', 'correlations', 'suggest', 'that', 'bars', 'grow', 'in', 'length', 'and', 'amplitude', 'over', 'a', 'hubble', 'time', 'with', 'the', 'fastest', 'evolution', 'occurring', 'in', 'the', 'densest', 'galaxies', 'all', 'but', 'three', 'of', 'the', 'sample', 'have', 'earlytype', 'flat', 'bars', 'there', 'is', 'no', 'clear', 'correlation', 'between', 'the', 'correlated', 'quantities', 'and', 'the', 'hubble', 'type']] | [-0.10640100786936116, 0.1484676351329685, -0.06450300534047058, 0.08246545022120699, -8.779717207854164e-05, -0.022253565205228996, -0.03511479139480547, 0.42196111299964634, -0.167128912351598, -0.3155785671080029, 0.06071828342351966, -0.29787239393797416, -0.052081191525915, 0.18571836027469293, -0.004868592264066483, -0.05145043359491332, 0.020167543584930486, -0.017868055675002135, -0.11488360954259907, -0.294641743402061, 0.26543952256103914, 0.05518937951700505, 0.2055226605674573, -0.06519306097019079, 0.026589994712186784, -0.07091102152982534, -0.10014689490921667, 0.014366372223493868, -0.1706123547594651, 0.01423293125920062, 0.23854365610870823, 0.0749909589147388, 0.2385983666934972, -0.41070462670948726, -0.15601954012828204, 0.10319755391161568, 0.23680109267347846, 0.0030231849121829047, -0.026720936286688687, -0.23125375855457167, 0.07194595281506391, -0.12975270770779201, -0.15321329084289229, 0.09525466704709006, 0.1353980786426009, 0.018707154021630513, -0.16906652015890797, 0.2105594765450625, 0.06424617495965855, 0.09043924201376222, -0.06340208571356047, -0.10634463182489934, -0.038401867234918834, 0.08881287491912472, 0.04555991905187417, 0.11479401730948352, 0.18293977964364377, -0.1414341942571778, -0.005464516686986136, 0.3347211239100755, -0.06809713902224883, -0.06226792979728559, 0.175989918772067, -0.25677899395292303, -0.10039913420693884, 0.18251039963697308, 0.14548034495212428, 0.05985322206056323, -0.08672055858187377, 0.006594494325389829, -0.027075993877650913, 0.2736259581328466, 0.08870685303680084, 0.0930674912855591, 0.28132668361950924, 0.09772114767110907, 0.07950219017521735, 0.09908836954654644, -0.17761692959526232, -0.0483914650816085, -0.26977330404494343, -0.1128034126695952, -0.13901337698716187, 0.040772122086090004, -0.18819690575990786, -0.13502813666930485, 0.34726538021390424, 0.06700457710419493, 0.2805174586748512, 0.114839107360177, 0.27784802406576686, 0.09424308115307338, 0.22866097991836482, 0.14033876711518728, 0.325694106491122, 0.14069343661259184, 0.07116441930752601, -0.2654820752675356, 0.04741576803318257, -0.027893744651950766] |
711.3056 | Some remarks on the GNS representations of topological $^*$-algebras | After an appropriate restatement of the GNS construction for topological
$^*$-algebras we prove that there exists an isomorphism among the set
$\cycl(A)$ of weakly continuous strongly cyclic $^*$-representations of a
barreled dual-separable $^*$-algebra with unit $A$, the space $\hilb_A(A^*)$ of
the Hilbert spaces that are continuously embedded in $A^*$ and are
$^*$-invariant under the dual left regular action of $A$ and the set of the
corresponding reproducing kernels. We show that these isomorphisms are cone
morphisms and we prove many interesting results that follow from this fact. We
discuss how these results can be used to describe cyclic representations on
more general inner product spaces.
| math-ph math.MP | after an appropriate restatement of the gns construction for topological algebras we prove that there exists an isomorphism among the set cycla of weakly continuous strongly cyclic representations of a barreled dualseparable algebra with unit a the space hilb_aa of the hilbert spaces that are continuously embedded in a and are invariant under the dual left regular action of a and the set of the corresponding reproducing kernels we show that these isomorphisms are cone morphisms and we prove many interesting results that follow from this fact we discuss how these results can be used to describe cyclic representations on more general inner product spaces | [['after', 'an', 'appropriate', 'restatement', 'of', 'the', 'gns', 'construction', 'for', 'topological', 'algebras', 'we', 'prove', 'that', 'there', 'exists', 'an', 'isomorphism', 'among', 'the', 'set', 'cycla', 'of', 'weakly', 'continuous', 'strongly', 'cyclic', 'representations', 'of', 'a', 'barreled', 'dualseparable', 'algebra', 'with', 'unit', 'a', 'the', 'space', 'hilb_aa', 'of', 'the', 'hilbert', 'spaces', 'that', 'are', 'continuously', 'embedded', 'in', 'a', 'and', 'are', 'invariant', 'under', 'the', 'dual', 'left', 'regular', 'action', 'of', 'a', 'and', 'the', 'set', 'of', 'the', 'corresponding', 'reproducing', 'kernels', 'we', 'show', 'that', 'these', 'isomorphisms', 'are', 'cone', 'morphisms', 'and', 'we', 'prove', 'many', 'interesting', 'results', 'that', 'follow', 'from', 'this', 'fact', 'we', 'discuss', 'how', 'these', 'results', 'can', 'be', 'used', 'to', 'describe', 'cyclic', 'representations', 'on', 'more', 'general', 'inner', 'product', 'spaces']] | [-0.1317766875281985, 0.13541328581192705, -0.09544665982727618, 0.08683586737264276, -0.06544577573681724, -0.08019937663430385, -0.03393816568103491, 0.4244680373647533, -0.36180225650177283, -0.1795269821350481, 0.14723313763605284, -0.235453576890423, -0.1960375873079779, 0.23470649380218603, -0.12743548204318858, -0.017435913622452347, 0.07844119865502067, 0.09718346322430686, -0.1388415759109764, -0.2706622078229545, 0.44008054847226424, -0.04815838414509142, 0.22068792511252502, 0.01162143116166322, 0.11279677063701492, 0.008221902692800058, -0.017322199921324558, 0.014442178177334569, -0.13685436505857426, 0.16994736354578943, 0.2788782632366444, 0.1310019216445439, 0.22082535460746536, -0.38812253104668915, -0.13135923756321882, 0.1804574318138846, 0.09452283759966638, 0.015530925447249091, -0.05813733908629123, -0.27853666399331656, 0.10247253612889086, -0.14665446801147625, -0.09010167027864714, -0.13981875851202538, 0.039422367882056567, 0.01241944597659669, -0.2552285521558267, -0.02955964203083924, 0.1159709028890539, 0.03556103984295737, -0.115910526890052, -0.05189640286684438, -0.054427871005792244, 0.12286503615734332, -0.026089949843784172, 0.03494372305131572, 0.0857200980487202, -0.08081877815728898, -0.12914313564953558, 0.35435963435755935, -0.04048556424437694, -0.2308172122849261, 0.20520870642926015, -0.16102984709226908, -0.16876897629459992, 0.08109127948352811, 0.0968493134714663, 0.12542453153040625, -0.07638114304555689, 0.14877018028945552, -0.15434514425293194, 0.10392477136680528, 0.07637313628505331, 0.05433278486609696, 0.16608717750904023, 0.09106746649223507, 0.0965688581545335, 0.16224153490860344, 0.03241384676977189, -0.08142723993503251, -0.36514315814437237, -0.18568812174449775, -0.10562383953947574, 0.07748689005772273, -0.1127014475888584, -0.187874377559067, 0.39347635081275273, 0.12140529026852592, 0.23051463054292196, 0.10816590082557763, 0.180523217713926, 0.0978875766652659, 0.08531135532493685, 0.0947807381938522, 0.1554156728864958, 0.14315513194556914, -0.02766762116430875, -0.14541726173860403, -0.026400311982405243, 0.14863904706184186] |
711.3057 | Cayley graphs formed by conjugate generating sets of S_n | We investigate subsets of the symmetric group with structure similar to that
of a graph. The trees of these subsets correspond to minimal conjugate
generating sets of the symmetric group. There are two main theorems in this
paper. The first is a characterization of minimal conjugate generating sets of
S_n. The second is a generalization of a result due to Feng characterizing the
automorphism groups of the Cayley graphs formed by certain generating sets
composed of cycles. We compute the full automorphism groups subject to a weak
condition and conjecture that the characterization still holds without the
condition. We also present some computational results in relation to
hamiltonicity of Cayley graphs, including a generalization of the work on
quasi-hamiltonicity by Gutin and Yeo to undirected graphs.
| math.CO | we investigate subsets of the symmetric group with structure similar to that of a graph the trees of these subsets correspond to minimal conjugate generating sets of the symmetric group there are two main theorems in this paper the first is a characterization of minimal conjugate generating sets of s_n the second is a generalization of a result due to feng characterizing the automorphism groups of the cayley graphs formed by certain generating sets composed of cycles we compute the full automorphism groups subject to a weak condition and conjecture that the characterization still holds without the condition we also present some computational results in relation to hamiltonicity of cayley graphs including a generalization of the work on quasihamiltonicity by gutin and yeo to undirected graphs | [['we', 'investigate', 'subsets', 'of', 'the', 'symmetric', 'group', 'with', 'structure', 'similar', 'to', 'that', 'of', 'a', 'graph', 'the', 'trees', 'of', 'these', 'subsets', 'correspond', 'to', 'minimal', 'conjugate', 'generating', 'sets', 'of', 'the', 'symmetric', 'group', 'there', 'are', 'two', 'main', 'theorems', 'in', 'this', 'paper', 'the', 'first', 'is', 'a', 'characterization', 'of', 'minimal', 'conjugate', 'generating', 'sets', 'of', 's_n', 'the', 'second', 'is', 'a', 'generalization', 'of', 'a', 'result', 'due', 'to', 'feng', 'characterizing', 'the', 'automorphism', 'groups', 'of', 'the', 'cayley', 'graphs', 'formed', 'by', 'certain', 'generating', 'sets', 'composed', 'of', 'cycles', 'we', 'compute', 'the', 'full', 'automorphism', 'groups', 'subject', 'to', 'a', 'weak', 'condition', 'and', 'conjecture', 'that', 'the', 'characterization', 'still', 'holds', 'without', 'the', 'condition', 'we', 'also', 'present', 'some', 'computational', 'results', 'in', 'relation', 'to', 'hamiltonicity', 'of', 'cayley', 'graphs', 'including', 'a', 'generalization', 'of', 'the', 'work', 'on', 'quasihamiltonicity', 'by', 'gutin', 'and', 'yeo', 'to', 'undirected', 'graphs']] | [-0.18135766019672156, 0.1060088721998036, -0.060105096846818924, 0.058836567622609436, -0.09585354253649711, -0.06471800039708614, 0.06968943781312555, 0.34989947877824307, -0.269783711027354, -0.29385705043002963, 0.11171361873857677, -0.2708133975621313, -0.1638605516180396, 0.18669793844223023, -0.13148572862893343, 0.002783202964812517, 0.08020097007974983, 0.0730963336005807, -0.06664514118805527, -0.2749822591489647, 0.37857963822782037, -0.015931763168424366, 0.21753197891265155, 0.06086060516536236, 0.08314768402278423, 0.003806654330343008, -0.035132370974868536, 0.0446744579076767, -0.16229806815518533, 0.1519209994142875, 0.22112257837504148, 0.12216618422046303, 0.22405921150930225, -0.3629673670828342, -0.15159062796644868, 0.23629077736102044, 0.07918960204347968, 0.06115072362869978, -0.042522280787117776, -0.24988200714439154, 0.16329731805901976, -0.12637098570913077, -0.13389115195348858, -0.040808233253657816, 0.040131308272480966, 0.021903943926095962, -0.24507737240800634, 0.0009075080358888954, 0.15285913094505668, 0.07436883973446674, -0.0068512440621852876, -0.09399984981864691, -0.03366953789070248, 0.12215095726028084, -0.022323576282709836, 0.01162102846428752, 0.021384923446923495, -0.09282485432736576, -0.15793878897093236, 0.39784892517328263, -0.014942921444773674, -0.1928806907683611, 0.15985265286266803, -0.14903147504478692, -0.22191458120569588, 0.08112705166079104, 0.1409227927289903, 0.13820934463292361, -0.11201736211730168, 0.11446473025064915, -0.14728025309741496, 0.08369976689107717, 0.1415261476971209, -0.0035847484543919564, 0.10218636133521795, 0.12056727303192019, 0.11024533430486917, 0.22564074360765518, 0.04894133905880153, -0.0334688109010458, -0.31394716566801073, -0.12667695950716734, -0.17809006198495628, 0.06720392110198736, -0.1211403989305254, -0.22462808374688029, 0.4444217757806182, 0.10862040365487337, 0.17618133879662493, 0.1371687245592475, 0.2057266627252102, 0.046144556634128094, 0.04576039183139801, 0.10118436328694225, 0.10245678629470058, 0.26148424192145464, -0.05426941191777587, -0.15537959393509665, 0.04478515983186662, 0.16988350516557693] |
711.3058 | Two elliptic height models with factorized domain wall partition
functions | We obtain factorized domain wall partition functions in two elliptic height
models: 1. A Felderhof-type model, which is new, and 2. A Perk-Schultz-type
gl(1|1) model of Deguchi and Martin.
| math-ph hep-th math.MP | we obtain factorized domain wall partition functions in two elliptic height models 1 a felderhoftype model which is new and 2 a perkschultztype gl11 model of deguchi and martin | [['we', 'obtain', 'factorized', 'domain', 'wall', 'partition', 'functions', 'in', 'two', 'elliptic', 'height', 'models', '1', 'a', 'felderhoftype', 'model', 'which', 'is', 'new', 'and', '2', 'a', 'perkschultztype', 'gl11', 'model', 'of', 'deguchi', 'and', 'martin']] | [-0.0929638225654209, 0.07966051292950632, -0.14149864697483955, 0.10364504139956639, -0.06777911295217497, -0.18539264677437367, -0.017281310149916896, 0.3526868824329641, -0.2704375346570655, -0.2387434228978775, 0.10662413988245169, -0.2589100746230947, -0.12297510817922928, 0.1380066997371614, -0.027382508851587772, 0.06909620416937051, 0.01863609309549685, -0.006838418474351919, -0.0484696846731283, -0.18911226507690218, 0.33307979183478487, -0.0971768083292301, 0.2185311800006915, 0.10576721345488396, 0.1031904775235388, -0.009454173001426237, 0.018167865755795327, -0.053546719115089486, -0.19714032079058666, 0.12517639166778988, 0.1645541526437834, 0.04530597671314522, 0.18902472546324134, -0.37089225573948137, -0.19672234915196896, 0.09164534397940668, 0.13093259978901456, 0.05844474564461658, 0.05151115785163172, -0.2249661865644157, 0.054799924363140705, -0.2609581489426394, -0.16061878000834473, -0.010144474165928032, 0.045026388528101424, -0.014759104681649694, -0.3609040680651863, 0.05180251948466456, 0.09001306140864337, 0.04663151061093366, -0.09267509687278006, -0.1648042130249518, -0.0383339550656577, 0.06698788636950431, -0.03672994728441591, 0.14462802257966595, 0.039643030855114815, -0.194480805899258, -0.16028467541629518, 0.28702676237595304, -0.056856723640252044, -0.30160395247447824, 0.14796894242021222, -0.13727830302108218, -0.12463940700723065, 0.053591372548706, 0.15959487289742189, 0.15111760132842594, -0.13316035498347548, 0.17055759901025644, -0.11480707557940925, 0.15676770433869766, 0.08841007761657238, -0.12465012352913618, 0.1350742013504108, 0.1510499448136047, 0.010266520893546167, 0.1907671945238555, -0.035654095777620874, -0.08304469211509934, -0.34220359529610034, -0.14515841476343297, -0.14188050478696823, 0.05128141944469125, -0.10996937592992456, -0.20632590808802181, 0.44687646351478716, 0.09071334403146196, 0.24962286451503773, 0.11141407572992008, 0.1868366781898119, 0.12448323838826683, 0.039553075614902705, 0.07991409513892399, 0.07333377817714656, 0.10841351464666703, 0.04247157461941242, -0.08994531602150312, -0.08105491048276976, 0.20022983619667314] |
711.3059 | Domain wall solitons and Hopf algebraic translational symmetries in
noncommutative field theories | Domain wall solitons are the simplest topological objects in field theories.
The conventional translational symmetry in a field theory is the generator of a
one-parameter family of domain wall solutions, and induces a massless moduli
field which propagates along a domain wall. We study similar issues in braided
noncommutative field theories possessing Hopf algebraic translational
symmetries. As a concrete example, we discuss a domain wall soliton in the
scalar phi^4 braided noncommutative field theory in Lie-algebraic
noncommutative spacetime, [x^i,x^j]=2i kappa epsilon^{ijk}x_k (i,j,k=1,2,3),
which has a Hopf algebraic translational symmetry. We first discuss the
existence of a domain wall soliton in view of Derrick's theorem, and construct
explicitly a one-parameter family of solutions in perturbation of the
noncommutativity parameter kappa. We then find the massless moduli field which
propagates on the domain wall soliton. We further extend our analysis to the
general Hopf algebraic translational symmetry.
| hep-th | domain wall solitons are the simplest topological objects in field theories the conventional translational symmetry in a field theory is the generator of a oneparameter family of domain wall solutions and induces a massless moduli field which propagates along a domain wall we study similar issues in braided noncommutative field theories possessing hopf algebraic translational symmetries as a concrete example we discuss a domain wall soliton in the scalar phi4 braided noncommutative field theory in liealgebraic noncommutative spacetime xixj2i kappa epsilonijkx_k ijk123 which has a hopf algebraic translational symmetry we first discuss the existence of a domain wall soliton in view of derricks theorem and construct explicitly a oneparameter family of solutions in perturbation of the noncommutativity parameter kappa we then find the massless moduli field which propagates on the domain wall soliton we further extend our analysis to the general hopf algebraic translational symmetry | [['domain', 'wall', 'solitons', 'are', 'the', 'simplest', 'topological', 'objects', 'in', 'field', 'theories', 'the', 'conventional', 'translational', 'symmetry', 'in', 'a', 'field', 'theory', 'is', 'the', 'generator', 'of', 'a', 'oneparameter', 'family', 'of', 'domain', 'wall', 'solutions', 'and', 'induces', 'a', 'massless', 'moduli', 'field', 'which', 'propagates', 'along', 'a', 'domain', 'wall', 'we', 'study', 'similar', 'issues', 'in', 'braided', 'noncommutative', 'field', 'theories', 'possessing', 'hopf', 'algebraic', 'translational', 'symmetries', 'as', 'a', 'concrete', 'example', 'we', 'discuss', 'a', 'domain', 'wall', 'soliton', 'in', 'the', 'scalar', 'phi4', 'braided', 'noncommutative', 'field', 'theory', 'in', 'liealgebraic', 'noncommutative', 'spacetime', 'xixj2i', 'kappa', 'epsilonijkx_k', 'ijk123', 'which', 'has', 'a', 'hopf', 'algebraic', 'translational', 'symmetry', 'we', 'first', 'discuss', 'the', 'existence', 'of', 'a', 'domain', 'wall', 'soliton', 'in', 'view', 'of', 'derricks', 'theorem', 'and', 'construct', 'explicitly', 'a', 'oneparameter', 'family', 'of', 'solutions', 'in', 'perturbation', 'of', 'the', 'noncommutativity', 'parameter', 'kappa', 'we', 'then', 'find', 'the', 'massless', 'moduli', 'field', 'which', 'propagates', 'on', 'the', 'domain', 'wall', 'soliton', 'we', 'further', 'extend', 'our', 'analysis', 'to', 'the', 'general', 'hopf', 'algebraic', 'translational', 'symmetry']] | [-0.23288899972491586, 0.15038033606187026, -0.1125161921307962, 0.07493786780024594, -0.195334256768951, -0.12935355489025824, -0.03055436915181215, 0.34391019034147674, -0.29234599898983205, -0.16690494653691226, 0.11015545530648928, -0.20829122657758287, -0.15875462588802394, 0.10176949207703324, -0.07927468749565175, -0.00606219821363791, -0.02243272467361142, 0.08572879520620012, -0.09805720009090793, -0.15410028982700574, 0.38662802043189815, -0.10076570322659488, 0.31342467975143035, 0.034720417451656736, 0.11117550125668964, -0.015825892752521515, 0.0467901659818987, 0.01572320281411521, -0.21847501867968175, 0.0589425415698012, 0.2072180187517208, -0.0007201145150853941, 0.16810826385093, -0.41634531229889643, -0.2438991538236021, 0.08101707851164974, 0.19353276646708967, 0.18176638763866826, -0.05208729861624306, -0.3419902248877204, 0.048027376725157306, -0.18969215578140897, -0.21506769655873845, -0.10003136467356752, 0.03398996020324477, -0.04668266211228911, -0.1993321696968956, 0.0864488443702511, 0.09557611382721613, 0.12479508988326415, -0.10224035423662928, 0.005745286788118796, -0.08335027139239376, 0.0023501596523500565, 0.11068070593723354, 0.08448876083679756, 0.13931049792881822, -0.17191268229443166, -0.15685363351035952, 0.3739134027879724, -0.07238547919162859, -0.2828069943158577, 0.11596537567109205, -0.14224458324962244, -0.1343118559226342, 0.09730300732513165, 0.1136283292095565, 0.16700671255886038, -0.057001123282437526, 0.23818276900096358, -0.07896151290818428, 0.1224701071607544, 0.13275115660508163, 0.00721541167270819, 0.2031897105043754, 0.1091900944480181, 0.04833510521307795, 0.20783174852678915, 0.002066984693455096, -0.17464924131571832, -0.41679277715997565, -0.17296666108045933, -0.10242702223412278, 0.08988365573410799, -0.16865212193786444, -0.21014766653792727, 0.4393675925481754, 0.09133131572808553, 0.121264040541266, 0.015853528884892713, 0.18660728100480306, 0.07462143121584733, 0.06959703720025977, 0.030333754014767084, 0.19925285496800724, 0.20724361865884727, 0.08510167342157932, -0.17411510200084498, -0.17937500503871384, 0.16262884269882408] |
711.306 | Regular representations of the quantum groups at roots of unity | We study the bimodule structure of the quantum function algebra at roots of 1
and prove that it admits an increasing filtration with factors isomorphic to
the tensor products of the dual of Weyl modules $V_\lambda^* \otimes V_{-
\omega_0 \lambda}^*$. As an application we compute the 0-th Hochschild
cohomology of the function algebra at roots of 1.
| math.QA math.RT | we study the bimodule structure of the quantum function algebra at roots of 1 and prove that it admits an increasing filtration with factors isomorphic to the tensor products of the dual of weyl modules v_lambda otimes v_ omega_0 lambda as an application we compute the 0th hochschild cohomology of the function algebra at roots of 1 | [['we', 'study', 'the', 'bimodule', 'structure', 'of', 'the', 'quantum', 'function', 'algebra', 'at', 'roots', 'of', '1', 'and', 'prove', 'that', 'it', 'admits', 'an', 'increasing', 'filtration', 'with', 'factors', 'isomorphic', 'to', 'the', 'tensor', 'products', 'of', 'the', 'dual', 'of', 'weyl', 'modules', 'v_lambda', 'otimes', 'v_', 'omega_0', 'lambda', 'as', 'an', 'application', 'we', 'compute', 'the', '0th', 'hochschild', 'cohomology', 'of', 'the', 'function', 'algebra', 'at', 'roots', 'of', '1']] | [-0.21503473406559542, 0.06832743307479591, -0.05854296908926284, -0.010315615719535568, -0.09236129532617174, -0.10441501379797333, -0.09532731832331863, 0.3282087233505751, -0.457925765922195, -0.1332999291552002, 0.09250533000745795, -0.27108091053863365, -0.15351385760464167, 0.100058860701035, -0.05445820660117948, -0.08734834197451148, 0.02849449428092492, 0.17003885517713793, -0.11685755980004997, -0.22387952824417306, 0.440878864443093, 0.04211800680046476, 0.21848151110635514, 0.06176887574327881, 0.19514889774942085, -0.013215397754193921, 0.048133446851320434, -0.11134081726011477, -0.2049141708040751, 0.066505627952753, 0.2990168960144122, 0.061781176549725626, 0.21376513713243694, -0.3586708363799149, 0.0212404682023222, 0.20182457945325918, 0.14487554585120002, -0.04390372974765405, 0.03269952999248186, -0.22790073433466124, 0.13202877200551724, -0.2746373018936107, -0.169917034361054, -0.06658394388004876, 0.09013478470998898, -0.03974545869992621, -0.26626349911767694, 0.012982913145893499, 0.010822735457239966, 0.1409596960926265, -0.1277038902534466, -0.15840282965974326, -0.11060833524128325, 0.09277622811823037, -0.03167544553677241, 0.07028429276767399, 0.13331040169782282, -0.1594414374742069, -0.157600230422982, 0.3599872711980552, -0.07883375945190589, -0.2162947446973831, 0.059600649156460635, -0.2139080472580533, -0.18325520971822634, 0.0885771065296834, 0.0009583003263463054, 0.12270787992236908, 0.09634166042496074, 0.23275536716927922, -0.08290574127162822, 0.05083601345847312, 0.08151602830018914, 0.029008714788544335, 0.09724520192187476, 0.0660852170631028, 0.08000805969104956, 0.1454095134446234, 0.0471562814833433, -0.0013994237310008, -0.3734454269471921, -0.27235214988978806, -0.16022919504004612, 0.16159849568972723, -0.16627941242998195, -0.18300044866638226, 0.4395659861334583, 0.09195912663677805, 0.1916782198680091, 0.12768414864937463, 0.2150981826544331, 0.1444842892662181, 0.13318378932512642, 0.016610737269761637, 0.10106971167158663, 0.2787563360067444, -0.014625821131886098, -0.1663520123499135, -0.06283043950730771, 0.21579514251074247] |
711.3061 | Some algebraic invariants of mixed product ideals | We compute some algebraic invariants (e.g. depth, Castelnuovo - Mumford
regularity) for a special class of monomial ideals, namely the ideals of mixed
products. As a consequence, we characterize the Cohen-Macaulay ideals of mixed
products.
| math.AC | we compute some algebraic invariants eg depth castelnuovo mumford regularity for a special class of monomial ideals namely the ideals of mixed products as a consequence we characterize the cohenmacaulay ideals of mixed products | [['we', 'compute', 'some', 'algebraic', 'invariants', 'eg', 'depth', 'castelnuovo', 'mumford', 'regularity', 'for', 'a', 'special', 'class', 'of', 'monomial', 'ideals', 'namely', 'the', 'ideals', 'of', 'mixed', 'products', 'as', 'a', 'consequence', 'we', 'characterize', 'the', 'cohenmacaulay', 'ideals', 'of', 'mixed', 'products']] | [-0.19104222049388817, 0.008939724853810142, -0.03722638335517224, 0.14577422241735108, -0.09428533451522098, -0.17460264131317244, -0.10287901934455423, 0.24157092084779458, -0.47596671585651007, -0.10577953004223459, 0.2007014590301825, -0.24755834054667503, -0.07594381927457802, 0.1895939537721193, -0.21224756840178194, 0.008092782980598071, 0.05552954421214321, 0.07516504265367985, -0.1266956277849043, -0.34695838934139295, 0.5100117294008241, -0.03366837847758742, 0.18481418736936414, 0.050861711887752306, 0.0650800164679394, 0.011658917605767356, -0.05615525988533216, 0.032879721208968586, -0.2886803458609125, 0.1530482855570667, 0.3606610874481061, 0.11558338271125275, 0.19475387203890612, -0.38469909087700005, -0.04570681941421593, 0.31591392842614474, 0.08729312158838558, -0.030002552933771822, 0.027400795726434272, -0.14863952328724897, 0.0637257924741682, -0.23039966262876987, -0.23270116702598684, -0.19976868276374743, 0.03205732421894722, 0.07770081160261351, -0.32550642702399807, -0.05303922284613637, 0.12749813535415075, 0.27107864456689534, -0.06064632863682859, -0.1326125956599272, -0.11392875182825853, -0.025458819191793308, -0.106165673748097, -0.13287768612944467, 0.05905722139184089, -0.18757313435815057, -0.16077163795639268, 0.33950607292354107, -0.03839054101091974, -0.20647113338825018, 0.11279453348149271, -0.14108236112138806, -0.20378538358080037, 0.07925578241359771, 0.04680283816860003, 0.21940673391252538, 0.058586068396620894, 0.14438126608729362, -0.2135233359192224, -0.08224124560023055, 0.199040814932874, 0.10351098641095792, 0.10984323291546282, 0.0401944183771882, 0.042157361941302526, 0.24731737819007216, 0.021313032381893957, 0.03280892978107337, -0.3714299512862721, -0.26183363795280457, -0.11910970140632023, 0.17105969015563674, -0.1628326512325336, -0.2398043391020859, 0.5098825778319117, 0.030999143553130767, 0.09827529700637302, 0.14979669331189463, 0.1974673108471667, -0.01349148477824843, 0.014753342277425177, 0.06382141610169235, 0.07079862837888547, 0.3105127919903573, -0.03602247775587089, -0.05303313155480496, 0.07649718744077665, 0.28389145269551697] |
711.3062 | Generalized Clustering Conditions of Jack Polynomials at Negative Jack
Parameter $\alpha$ | We present several conjectures on the behavior and clustering properties of
Jack polynomials at \emph{negative} parameter $\alpha=-\frac{k+1}{r-1}$, of
partitions that violate the $(k,r,N)$ admissibility rule of Feigin \emph{et.
al.} [\onlinecite{feigin2002}]. We find that "highest weight" Jack polynomials
of specific partitions represent the minimum degree polynomials in $N$
variables that vanish when $s$ distinct clusters of $k+1$ particles are formed,
with $s$ and $k$ positive integers. Explicit counting formulas are conjectured.
The generalized clustering conditions are useful in a forthcoming description
of fractional quantum Hall quasiparticles.
| cond-mat.mes-hall math-ph math.MP | we present several conjectures on the behavior and clustering properties of jack polynomials at emphnegative parameter alphafrack1r1 of partitions that violate the krn admissibility rule of feigin emphet al onlinecitefeigin2002 we find that highest weight jack polynomials of specific partitions represent the minimum degree polynomials in n variables that vanish when s distinct clusters of k1 particles are formed with s and k positive integers explicit counting formulas are conjectured the generalized clustering conditions are useful in a forthcoming description of fractional quantum hall quasiparticles | [['we', 'present', 'several', 'conjectures', 'on', 'the', 'behavior', 'and', 'clustering', 'properties', 'of', 'jack', 'polynomials', 'at', 'emphnegative', 'parameter', 'alphafrack1r1', 'of', 'partitions', 'that', 'violate', 'the', 'krn', 'admissibility', 'rule', 'of', 'feigin', 'emphet', 'al', 'onlinecitefeigin2002', 'we', 'find', 'that', 'highest', 'weight', 'jack', 'polynomials', 'of', 'specific', 'partitions', 'represent', 'the', 'minimum', 'degree', 'polynomials', 'in', 'n', 'variables', 'that', 'vanish', 'when', 's', 'distinct', 'clusters', 'of', 'k1', 'particles', 'are', 'formed', 'with', 's', 'and', 'k', 'positive', 'integers', 'explicit', 'counting', 'formulas', 'are', 'conjectured', 'the', 'generalized', 'clustering', 'conditions', 'are', 'useful', 'in', 'a', 'forthcoming', 'description', 'of', 'fractional', 'quantum', 'hall', 'quasiparticles']] | [-0.23198605456714888, 0.1807929446853428, -0.09174051107165504, 0.04761284423139261, -0.11280394585085023, -0.17974164061345083, 0.040906336270721565, 0.2862191032590232, -0.2398999257641564, -0.27101554208104106, 0.005860508955364306, -0.30119337017524495, -0.14109472669829357, 0.1368376340672194, -0.02898073092531497, 0.04318145295627505, 0.014435617185859796, 0.014963692149528897, -0.06178290275464126, -0.3624894298523305, 0.28626196878030896, 0.018067735143522, 0.21239060482728372, 0.024014515534368713, 0.05615770381437727, -0.003148063467478896, -0.022965097536209476, -0.007168860679649445, -0.20912278288579475, 0.07639203729256651, 0.29986379026289445, 0.11284613457342879, 0.21076996594173722, -0.368303602224732, -0.10118822261960392, 0.16449724618031317, 0.14456263407016404, 0.023292307528745698, 0.031194317085859197, -0.23149710725319672, 0.09169633006003786, -0.13340030081380097, -0.1733598626914423, -0.11423889975097165, 0.10844556059609785, 0.08059680415597935, -0.3030315790246858, 0.11733874242124429, 0.1087268793005889, 0.09304518878869487, -0.011121263402143875, -0.2559172903041703, -0.015565302834498236, 0.032977696846545036, -0.061845769522240364, -0.038822213912954984, 0.036700208923857974, -0.12598919884178295, -0.18754608379340315, 0.29970220267682907, 0.04568863073251692, -0.18923345007316536, 0.09480502256697201, -0.18969879097428666, -0.22741334672725524, 0.10791543734832162, 0.0759335325817656, 0.14167136206378927, -0.0447266501949957, 0.12370066275590111, -0.1674875627911414, 0.07493911671216588, 0.19711642769019466, 0.07341484009030175, 0.1996377035751041, -0.03622944525047486, 0.016053591737052404, 0.17277632033766574, 0.015353624664067504, -0.06876444527444553, -0.3389308615980378, -0.14317713260471102, -0.250243997908231, 0.07146641903231482, -0.15761265889089274, -0.15868721493935012, 0.33835871598447664, 0.10563375010643945, 0.21326232984302992, 0.08352255673114076, 0.13567589724952556, 0.12572383553810776, 0.03130079663347408, 0.06404088060539889, 0.09445393845124776, 0.2076555645901216, 0.015459205354956618, -0.20375441673985986, 0.043579747674899756, 0.18015674534197673] |
711.3063 | Strangeness Production Process $pp \to nK^ + \Sigma ^ +$ within
Resonance Model | We explore production mechanism and final state interaction in the $pp \to
nK^ + \Sigma ^ +$ channel based on the inconsistent experimental data published
respectively by COSY-11 and COSY-ANKE. The scattering parameter $a> 0$ for
$n\Sigma ^ +$ interaction is favored by large near-threshold cross section
within a nonrelativistic parametrization investigation, and a strong $n\Sigma ^
+$ interaction comparable to $pp$ interaction is also indicated. Based on this
analysis we calculate the contribution from resonance $\Delta ^* (1920)$
through $\pi ^ +$ exchange within resonance model, and the numerical result
suggests a rather small near-threshold total cross section, which is consistent
with the COSY-ANKE data. With an additional sub-threshold resonance $\Delta
^*(1620)$, the model gives a much better description to the rather large
near-threshold total cross section published by COSY-11.
| nucl-th | we explore production mechanism and final state interaction in the pp to nk sigma channel based on the inconsistent experimental data published respectively by cosy11 and cosyanke the scattering parameter a 0 for nsigma interaction is favored by large nearthreshold cross section within a nonrelativistic parametrization investigation and a strong nsigma interaction comparable to pp interaction is also indicated based on this analysis we calculate the contribution from resonance delta 1920 through pi exchange within resonance model and the numerical result suggests a rather small nearthreshold total cross section which is consistent with the cosyanke data with an additional subthreshold resonance delta 1620 the model gives a much better description to the rather large nearthreshold total cross section published by cosy11 | [['we', 'explore', 'production', 'mechanism', 'and', 'final', 'state', 'interaction', 'in', 'the', 'pp', 'to', 'nk', 'sigma', 'channel', 'based', 'on', 'the', 'inconsistent', 'experimental', 'data', 'published', 'respectively', 'by', 'cosy11', 'and', 'cosyanke', 'the', 'scattering', 'parameter', 'a', '0', 'for', 'nsigma', 'interaction', 'is', 'favored', 'by', 'large', 'nearthreshold', 'cross', 'section', 'within', 'a', 'nonrelativistic', 'parametrization', 'investigation', 'and', 'a', 'strong', 'nsigma', 'interaction', 'comparable', 'to', 'pp', 'interaction', 'is', 'also', 'indicated', 'based', 'on', 'this', 'analysis', 'we', 'calculate', 'the', 'contribution', 'from', 'resonance', 'delta', '1920', 'through', 'pi', 'exchange', 'within', 'resonance', 'model', 'and', 'the', 'numerical', 'result', 'suggests', 'a', 'rather', 'small', 'nearthreshold', 'total', 'cross', 'section', 'which', 'is', 'consistent', 'with', 'the', 'cosyanke', 'data', 'with', 'an', 'additional', 'subthreshold', 'resonance', 'delta', '1620', 'the', 'model', 'gives', 'a', 'much', 'better', 'description', 'to', 'the', 'rather', 'large', 'nearthreshold', 'total', 'cross', 'section', 'published', 'by', 'cosy11']] | [-0.11164159272520319, 0.1301048373648837, -0.08359623841233244, 0.1291733050337908, -0.03674200934180913, -0.1344237148026697, 0.07219586967421342, 0.30484944564667493, -0.1846894581555889, -0.31878747550909187, -0.05596506395973727, -0.3505752115579676, -0.027955086159997058, 0.15728393145105687, 0.09006289117546244, 0.06132095396010713, 0.12168735376182051, 0.05451137340465976, 0.013979599009217957, -0.14377612777800908, 0.3057149475832924, 0.11403744374132477, 0.2474288391565119, 0.17085462461816425, 0.03812751932308263, 0.08504153270859363, -0.04013339576093972, -0.062071145492921434, -0.1657513549535974, 0.09807063218144592, 0.21470638038782972, 0.038657805778486425, 0.12894922370198836, -0.36855717525194004, -0.11787826839588152, 0.06110847449653651, 0.1460577946267868, 0.09951162934284041, -0.03127191398362052, -0.3215832802936558, 0.07686090281171616, -0.21896678905102832, -0.08815877163043816, -0.03399136324205305, 0.0656350145139539, -0.04256464589544964, -0.30763139476814916, 0.10557379857766873, -0.013193694272363358, 0.07268594388757671, -0.07613705133842227, -0.22108066277886348, -0.026488675826329213, -0.01929871785244712, 0.03361506372005178, 0.10818873221932118, 0.14690386688275156, -0.11948655317691424, -0.0732160069217736, 0.33464246483381127, -0.10008563431487842, -0.14870072827358877, 0.14842895443083656, -0.1774640515762235, -0.08342299004824262, 0.20956367014884208, 0.1799375093118711, 0.07154799242165279, -0.18913835613441862, 0.09803370882618465, -0.015753293471518628, 0.23116811617346836, 0.04479204255641123, -0.022774314830148946, 0.09162953028778646, 0.2353266251796841, -0.02894199559511232, 0.06630363461584592, -0.13542436214148507, -0.11815448861553772, -0.372212627964202, -0.05346964359714473, -0.08527121166236822, 0.07868640226108015, -0.019605713809382416, -0.0593477269569181, 0.321030432462292, 0.08991010530951841, 0.3336502363566648, -0.021973283868090613, 0.32895895470826586, 0.12055314763608843, 0.0801790806518729, 0.03428617406113089, 0.32173631304859623, 0.16598626691655619, 0.0972652849356436, -0.22969067723428724, 0.057969061596211326, -0.021863827982163134] |
711.3064 | Optical Bloch oscillations in periodic structures with metamaterials | We predict that optical Bloch oscillations can be observed in layered
structures with left-handed metamaterials and zero average refractive index
where the layer thickness varies linearly across the structure. We demonstrate
a new type of the Bloch oscillations associated with coupled surface waves
excited at the interfaces between the layers with left-handed material and
conventional dielectric.
| physics.optics | we predict that optical bloch oscillations can be observed in layered structures with lefthanded metamaterials and zero average refractive index where the layer thickness varies linearly across the structure we demonstrate a new type of the bloch oscillations associated with coupled surface waves excited at the interfaces between the layers with lefthanded material and conventional dielectric | [['we', 'predict', 'that', 'optical', 'bloch', 'oscillations', 'can', 'be', 'observed', 'in', 'layered', 'structures', 'with', 'lefthanded', 'metamaterials', 'and', 'zero', 'average', 'refractive', 'index', 'where', 'the', 'layer', 'thickness', 'varies', 'linearly', 'across', 'the', 'structure', 'we', 'demonstrate', 'a', 'new', 'type', 'of', 'the', 'bloch', 'oscillations', 'associated', 'with', 'coupled', 'surface', 'waves', 'excited', 'at', 'the', 'interfaces', 'between', 'the', 'layers', 'with', 'lefthanded', 'material', 'and', 'conventional', 'dielectric']] | [-0.17629520659933665, 0.2768863872957549, 0.020866788948686526, -0.035994825419038534, -0.1001309404049867, -0.16197460519781867, 0.03412900816848768, 0.4538228875857645, -0.32379778248390984, -0.3031793038244359, 0.004748730543984233, -0.31790215082998785, -0.20701567073618726, 0.17330821460512066, 0.06273677003835994, 0.011122451230351414, -0.04466606377224837, -0.03542527580533975, -0.08022715885973801, -0.10482427657033051, 0.3005957371289177, -0.019456476738144244, 0.35675796567063245, 0.02404355848973085, 0.05178917874582112, -0.044518918630533984, 0.07145107773664806, 0.017622197678844844, -0.09055322232922793, 0.09987221276138111, 0.20660312487078564, -0.11235033439671886, 0.15767937459168024, -0.4815614051850779, -0.2511816521374775, -0.004703701274203402, 0.14124832312310381, 0.07749662278885287, -0.03766398296491908, -0.2562160880936842, 0.031155765771732798, -0.09148511478477823, -0.16744439197853872, 0.004042997449037752, -0.031032098324171135, 0.021186547187556113, -0.24376863881168123, 0.08964425620589671, -0.015206676043037857, 0.023002848550926762, -0.12368000628027533, -0.09049404616442709, -0.11860426240101722, 0.06432730517449922, 0.03396895408098187, -0.034581870139975636, 0.12934849712265922, -0.11259591015654483, -0.08263023634208366, 0.3450574054482526, -0.14008161104311512, -0.18623135583142617, 0.18604365532103526, -0.19289662311452307, 0.05588437072999243, 0.16057740235035972, 0.20726878994277545, 0.07654956993480612, -0.016107027253643276, 0.026986270908050107, -0.0479961623204872, 0.2604196016410632, 0.14171633252408355, 0.06848522581692253, 0.2750548611760938, 0.18150602286914364, 0.0055850290393989, 0.12288518620646625, -0.1328841675598856, 0.01801869003767414, -0.24037602876446076, -0.17018459727322416, -0.16240021610948524, 0.02580149736188884, -0.09396835939540844, -0.2392422316396343, 0.4735042443498969, 0.07030849994459588, 0.17178418500615017, -0.01271332013805347, 0.24171508672381087, 0.11117704859602132, 0.12887642920083767, 0.08489134188026323, 0.33021873900932924, 0.18732397560961545, 0.12430546052720663, -0.24063455393271788, 0.014344305024548833, -0.006782552036124149] |
711.3065 | Two-Photon Exchange in Electron-Proton Elastic Scattering: Theory Update | Recent theoretical developments in the studies of two-photon exchange effects
in elastic electron-proton scattering are reviewed. Two-photon exchange
mechanism is considered a likely source of discrepancy between polarized and
unpolarized experimental measurements of the proton electric form factor at
momentum transfers of several GeV$^2$. This mechanism predicts measurable
effects that are currently studied experimentally.
| hep-ph | recent theoretical developments in the studies of twophoton exchange effects in elastic electronproton scattering are reviewed twophoton exchange mechanism is considered a likely source of discrepancy between polarized and unpolarized experimental measurements of the proton electric form factor at momentum transfers of several gev2 this mechanism predicts measurable effects that are currently studied experimentally | [['recent', 'theoretical', 'developments', 'in', 'the', 'studies', 'of', 'twophoton', 'exchange', 'effects', 'in', 'elastic', 'electronproton', 'scattering', 'are', 'reviewed', 'twophoton', 'exchange', 'mechanism', 'is', 'considered', 'a', 'likely', 'source', 'of', 'discrepancy', 'between', 'polarized', 'and', 'unpolarized', 'experimental', 'measurements', 'of', 'the', 'proton', 'electric', 'form', 'factor', 'at', 'momentum', 'transfers', 'of', 'several', 'gev2', 'this', 'mechanism', 'predicts', 'measurable', 'effects', 'that', 'are', 'currently', 'studied', 'experimentally']] | [-0.1551184239624827, 0.26962538401561753, -0.0506191593422382, 0.1391182184667775, -0.03985604861130317, -0.09324292180072344, 0.04193253609938202, 0.4383940425597959, -0.2516192204698368, -0.2558426649344188, -0.06590938333991087, -0.3518975226691476, -0.05314165821160983, 0.20685575795532377, 0.10049688548746484, 0.06691537538750304, 0.04844964255958244, -0.07780298159492237, -0.010610386552461595, -0.16658835489026927, 0.32055630307230687, 0.10579505774054539, 0.31639026281320387, 0.21933186664763424, 0.06930632927213554, 0.05766324636836847, -0.0750756051943258, -0.06352600355253175, -0.11309681090171109, 0.12040869746771124, 0.3007856813707837, -0.0075236432409534855, 0.15525956919656084, -0.4376528336563044, -0.18814126572882137, 0.030971731430057575, 0.0856412445815901, 0.12567214879500507, -0.11037713071089927, -0.19784300888164175, -0.029486978366212162, -0.1998916209709865, -0.11223648145311961, -0.09052108975851701, 0.05282074512258448, -0.012856963633870086, -0.323115904332587, 0.1207770283885852, -0.015591190226755484, 0.03347070301296534, -0.06514673143694247, -0.17691155577388903, -0.001080756554276579, 0.011152124834350415, 0.11843230088534593, 0.09093381154040496, 0.15836221228043237, -0.13105267203085263, -0.1694657666677678, 0.3436489799922263, -0.018158574761063966, -0.1239599250084548, 0.07641814483536614, -0.2412523834069294, -0.08794667632146566, 0.14505536611519615, 0.18964925801588428, 0.08346587460902002, -0.19208734213478035, 0.06017973058300817, -0.03295585112344405, 0.14638770513098548, 0.08570507494732738, 0.09836066245204872, 0.1854519535338989, 0.19215519602100053, -0.10979789992173512, 0.06881329631087957, -0.09632952918333036, -0.12893643768297303, -0.34186506919838766, -0.0224386108521786, -0.09909753506158099, 0.08051929838472495, 0.005898161325873203, -0.031278801426567415, 0.2708325675231646, 0.12111941244694646, 0.21906437635145806, -0.11444517325058028, 0.3933730526930756, 0.08717671195174465, 0.08288586175034719, 0.0030955155725004495, 0.3787317785123984, 0.19269700342772045, 0.11824023219998236, -0.25047206096092445, 0.13312722401288166, -0.04889900218350468] |
711.3066 | Entangling Power of an Expanding Universe | We show that entanglement can be used to detect spacetime curvature. Quantum
fields in the Minkowski vacuum are entangled with respect to local field modes.
This entanglement can be swapped to spatially separated quantum systems using
standard local couplings. A single, inertial field detector in the
exponentially expanding (de Sitter) vacuum responds as if it were bathed in
thermal radiation in a Minkowski universe. We show that using two inertial
detectors, interactions with the field in the thermal case will entangle
certain detector pairs that would not become entangled in the corresponding de
Sitter case. The two universes can thus be distinguished by their entangling
power.
| quant-ph gr-qc | we show that entanglement can be used to detect spacetime curvature quantum fields in the minkowski vacuum are entangled with respect to local field modes this entanglement can be swapped to spatially separated quantum systems using standard local couplings a single inertial field detector in the exponentially expanding de sitter vacuum responds as if it were bathed in thermal radiation in a minkowski universe we show that using two inertial detectors interactions with the field in the thermal case will entangle certain detector pairs that would not become entangled in the corresponding de sitter case the two universes can thus be distinguished by their entangling power | [['we', 'show', 'that', 'entanglement', 'can', 'be', 'used', 'to', 'detect', 'spacetime', 'curvature', 'quantum', 'fields', 'in', 'the', 'minkowski', 'vacuum', 'are', 'entangled', 'with', 'respect', 'to', 'local', 'field', 'modes', 'this', 'entanglement', 'can', 'be', 'swapped', 'to', 'spatially', 'separated', 'quantum', 'systems', 'using', 'standard', 'local', 'couplings', 'a', 'single', 'inertial', 'field', 'detector', 'in', 'the', 'exponentially', 'expanding', 'de', 'sitter', 'vacuum', 'responds', 'as', 'if', 'it', 'were', 'bathed', 'in', 'thermal', 'radiation', 'in', 'a', 'minkowski', 'universe', 'we', 'show', 'that', 'using', 'two', 'inertial', 'detectors', 'interactions', 'with', 'the', 'field', 'in', 'the', 'thermal', 'case', 'will', 'entangle', 'certain', 'detector', 'pairs', 'that', 'would', 'not', 'become', 'entangled', 'in', 'the', 'corresponding', 'de', 'sitter', 'case', 'the', 'two', 'universes', 'can', 'thus', 'be', 'distinguished', 'by', 'their', 'entangling', 'power']] | [-0.15311704741001245, 0.28574879490660576, -0.13441230277014668, 0.06907105359648583, -0.014048368832588478, -0.17889839672606508, -0.1136832558330289, 0.3745378648053925, -0.23024086376546687, -0.24699971708743657, 0.041638585455487216, -0.2839358660023449, -0.05353733171919747, 0.17816521406156133, -0.058073990126052556, 0.020142773306875857, 0.010173508787597969, 0.058090826136253354, -0.021902908880773158, -0.26109654621554995, 0.3248006867438133, 0.07168680525885648, 0.2785181929269489, -0.03143278664452428, 0.07134338038674784, -0.03762931693433169, 0.03623662576219946, 0.10490759145380613, -0.07046583439941455, 0.03884772130042174, 0.28373581344999793, 0.10664267820429127, 0.20009100018069148, -0.4584277694306846, -0.20453033425827633, 0.17270809226616654, 0.17039326259005322, 0.18520935722541632, -0.03482056953417102, -0.3457340623190591, 0.03180139589580303, -0.15959700551718684, -0.12349424583239937, -0.08272304283982178, -0.05014873563667829, -0.05293871021888851, -0.21834905836994778, 0.09842412775593265, 0.005043975841956881, -0.03641297112939493, -0.05045099133397189, 0.02421745747977973, -0.035732760373063666, 0.0820551920717336, 0.009753832373908668, 0.032659492719004736, 0.20198246950002494, -0.11249047971796244, -0.12765133167388584, 0.3273889690391579, -0.13695783649553667, -0.24103547770196115, 0.18250728880037675, -0.1840839027427137, -0.041748048017188066, 0.10902184152422156, 0.12414369113602729, 0.13110815292610875, -0.13177252299001854, 0.12446583098213557, 0.037761026272936815, 0.16402317963558127, 0.15274620352681936, 0.10362276202507036, 0.30354260041747455, 0.017988047334101965, 0.07213815908773609, 0.1691462509421948, -0.04703062454695409, -0.10628620799815387, -0.3485196213729961, -0.21237051799533152, -0.20818173183778407, 0.10878570083726993, -0.09070433850646159, -0.16660296243949319, 0.3474790479214686, 0.12824154035012536, 0.13828857816790915, -0.031033175654779626, 0.25815323602302737, 0.0456217833660666, 0.06850799638119016, 0.09958150350260285, 0.3635687912937324, 0.08357433705450089, 0.10471937149095367, -0.21821709155634414, -0.05125745328775835, 0.026647656233454088] |
711.3067 | A plane sextic with finite fundamental group | We analyze irreducible plane sextics whose fundamental group factors to
$D_{14}$. We produce explicit equations for all curves and show that, in the
simplest case of the set of singularities $3A_6$, the group is $D_{14}\times
Z_3$.
| math.AG | we analyze irreducible plane sextics whose fundamental group factors to d_14 we produce explicit equations for all curves and show that in the simplest case of the set of singularities 3a_6 the group is d_14times z_3 | [['we', 'analyze', 'irreducible', 'plane', 'sextics', 'whose', 'fundamental', 'group', 'factors', 'to', 'd_14', 'we', 'produce', 'explicit', 'equations', 'for', 'all', 'curves', 'and', 'show', 'that', 'in', 'the', 'simplest', 'case', 'of', 'the', 'set', 'of', 'singularities', '3a_6', 'the', 'group', 'is', 'd_14times', 'z_3']] | [-0.22724019628808353, 0.050321340137584644, -0.07886919757407723, 0.08095082281171485, -0.12351057015246514, -0.08341627748626651, 0.01712458665750808, 0.3675213207801183, -0.2638936976365971, -0.19856170897908282, 0.10398326604979846, -0.29090533525485435, -0.18556834305777695, 0.2182059580403747, -0.056473999792201954, -0.02098556454438949, 0.00032267116969733525, 0.0846373728956237, -0.09882751814879928, -0.2964590678951054, 0.40438641946424136, -0.10082449346329227, 0.22226653360959256, -0.015160130619099646, 0.13897935617150683, 0.021901478638138735, -0.008950952609831636, -0.0478502737753319, -0.1427933641325305, 0.08785106394101273, 0.2760413233755213, 0.05659972097386013, 0.07573450209968018, -0.381399458612908, -0.18492901903774703, 0.23482288372223126, 0.15704520901128877, 0.0935378706816471, -0.014057334710025427, -0.20139024643029904, 0.11116324709446142, -0.13567456298253752, -0.2241777053639067, -0.10444202694590345, 0.0426330848625212, 0.025133237807136593, -0.19941008864252857, 0.025211466589208805, 0.03659651177286199, 0.0898589047631531, -0.055066442314648266, -0.10512679564117482, -0.05033249827807374, 0.12458963023329322, 0.048515420082505, -0.005304208462775657, 0.036382721779360014, -0.15859871352034988, -0.08295534288680012, 0.47141858980511175, -0.03784369711171497, -0.23099141534079204, 0.10980225924515363, -0.206980061562111, -0.19824601683737428, 0.14104602960023013, 0.17469888293381894, 0.12584389379304467, -0.06332083991869833, 0.14592154518609415, -0.10654338483106006, 0.08191233083154216, 0.055667961298516304, -0.0359781660337114, 0.1131589033386924, 0.04903534935279326, 0.03665373501170314, 0.13364743949690214, 0.010453992269255898, -0.046627675564112986, -0.3941234668547457, -0.1874203605182243, -0.0718743270756959, 0.08311202114617283, -0.09787584403767885, -0.1916217039141691, 0.45173431605552183, 0.06065606094445243, 0.18393457060058913, 0.06347612635881612, 0.21357882779204485, 0.06727112183095112, 0.04536280007750699, 0.09096605738512042, 0.17574192498895255, 0.14947721237937608, -0.14352406708128523, -0.21276199848701557, -0.05097006743943149, 0.1613110355242635] |
711.3068 | Playing The Hypothesis Testing Minority Game In The Maximal Reduced
Strategy Space | Hypothesis Testing Minority Game (HMG) is a variant of the standard Minority
Game (MG) that models the inertial behavior of agents in the market. In the
earlier study of our group, we find that agents cooperate better in HMG than in
the standard MG when strategies are picked from the full strategy space. Here
we continue to study the behavior of HMG when strategies are chosen from the
maximal reduced strategy space. Surprisingly, we find that, unlike the standard
MG, the level of cooperation in HMG depends strongly on the strategy space
used. In addition, a novel intermittency dynamics is also observed in the
minority choice time series in a certain parameter range in which the orderly
phases are characterized by a variety of periodic dynamics. Remarkably, all
these findings can be explained by the crowd-anticrowd theory.
| physics.soc-ph | hypothesis testing minority game hmg is a variant of the standard minority game mg that models the inertial behavior of agents in the market in the earlier study of our group we find that agents cooperate better in hmg than in the standard mg when strategies are picked from the full strategy space here we continue to study the behavior of hmg when strategies are chosen from the maximal reduced strategy space surprisingly we find that unlike the standard mg the level of cooperation in hmg depends strongly on the strategy space used in addition a novel intermittency dynamics is also observed in the minority choice time series in a certain parameter range in which the orderly phases are characterized by a variety of periodic dynamics remarkably all these findings can be explained by the crowdanticrowd theory | [['hypothesis', 'testing', 'minority', 'game', 'hmg', 'is', 'a', 'variant', 'of', 'the', 'standard', 'minority', 'game', 'mg', 'that', 'models', 'the', 'inertial', 'behavior', 'of', 'agents', 'in', 'the', 'market', 'in', 'the', 'earlier', 'study', 'of', 'our', 'group', 'we', 'find', 'that', 'agents', 'cooperate', 'better', 'in', 'hmg', 'than', 'in', 'the', 'standard', 'mg', 'when', 'strategies', 'are', 'picked', 'from', 'the', 'full', 'strategy', 'space', 'here', 'we', 'continue', 'to', 'study', 'the', 'behavior', 'of', 'hmg', 'when', 'strategies', 'are', 'chosen', 'from', 'the', 'maximal', 'reduced', 'strategy', 'space', 'surprisingly', 'we', 'find', 'that', 'unlike', 'the', 'standard', 'mg', 'the', 'level', 'of', 'cooperation', 'in', 'hmg', 'depends', 'strongly', 'on', 'the', 'strategy', 'space', 'used', 'in', 'addition', 'a', 'novel', 'intermittency', 'dynamics', 'is', 'also', 'observed', 'in', 'the', 'minority', 'choice', 'time', 'series', 'in', 'a', 'certain', 'parameter', 'range', 'in', 'which', 'the', 'orderly', 'phases', 'are', 'characterized', 'by', 'a', 'variety', 'of', 'periodic', 'dynamics', 'remarkably', 'all', 'these', 'findings', 'can', 'be', 'explained', 'by', 'the', 'crowdanticrowd', 'theory']] | [-0.10886035736663924, 0.15145028832450727, -0.09827650107977473, 0.07729473973877783, -0.02359095196280738, -0.14217977515449198, 0.08462568913733669, 0.396716222865507, -0.25911330474841904, -0.30090394766782136, 0.05120253658713088, -0.21836260140887187, -0.18670226429137127, 0.15055928534403554, -0.0904706362326739, -0.048969068061149514, 0.036854620687389636, 0.03945054034428561, -0.020092157732613164, -0.2846234036602682, 0.33849277502432573, 0.02069987714811064, 0.292970544367563, -0.049220453930662614, 0.029338092933518484, -0.00927918594714035, -0.007966681267134845, 0.10741194079031736, -0.12399471706366431, 0.0823280948183417, 0.2467738472978186, 0.10797400806468967, 0.31649295955567674, -0.3981585197205491, -0.21747082797810435, 0.124578324622502, 0.11474542794338263, 0.10344181966759018, -0.02480413888406474, -0.26071860028177446, 0.0911530043984599, -0.1630895640435697, -0.11565238488016322, -0.04047508645367891, -0.019805797471610063, 0.03188952939843362, -0.2624237857731607, 0.03535607088548097, 0.047297225388533926, 0.0475774934688268, -0.06127151992747232, -0.09825960568303023, -0.03322113000767251, 0.12844256912092747, 0.03789521127542043, -0.027671172063385124, 0.13215650361962616, -0.12601524405181408, -0.14376324858783526, 0.404663619968821, -0.11930919400819061, -0.17066032904446782, 0.1835414213950143, -0.17961947063015352, -0.1284644463654224, 0.12876765341634916, 0.15050087285528527, 0.13970443824997775, -0.10880884538196636, 0.08799352765473646, -0.07531001622512978, 0.16954694297301637, -0.011432491116198328, 0.013299944149741135, 0.1670270980171421, 0.18234624655794024, 0.10151099879294634, 0.0726788981427329, -0.026830679434009224, -0.16467291298014222, -0.27365095008794654, -0.150147343708394, -0.1475753671522184, 0.01391572698005749, -0.09790365293156356, -0.12345209486289498, 0.38179093829753313, 0.13752510471129106, 0.17812644236940234, 0.03482863695192945, 0.22245877934962183, 0.07648605251126676, 0.039268986058339256, 0.06237641293623978, 0.24447434758664766, 0.04168791218612836, 0.08284834775429986, -0.24525554011480005, 0.10718696916421108, 0.044228676650056836] |
711.3069 | Beauty production in two-photon interactions at LEP2: kt-factorization
versus data | Inclusive beauty quark production in photon-photon collisions at CERN LEP2 is
considered in the framework of the kt-factorization approach. Both direct and
resolved photon contributions are taken into account. The unintegrated gluon
distributions in a photon are either obtained from the full CCFM evolution
equation or from the Kimber-Martin-Ryskin prescription. The predicted beauty
cross section reasonably agrees with the recent experimental data taken by the
ALEPH collaboration. We argue that theoretical and experimental studies of the
azimuthal correlations in heavy quark production at high energies can serve as
a crucial probe of the unintegrated gluon densities.
| hep-ph | inclusive beauty quark production in photonphoton collisions at cern lep2 is considered in the framework of the ktfactorization approach both direct and resolved photon contributions are taken into account the unintegrated gluon distributions in a photon are either obtained from the full ccfm evolution equation or from the kimbermartinryskin prescription the predicted beauty cross section reasonably agrees with the recent experimental data taken by the aleph collaboration we argue that theoretical and experimental studies of the azimuthal correlations in heavy quark production at high energies can serve as a crucial probe of the unintegrated gluon densities | [['inclusive', 'beauty', 'quark', 'production', 'in', 'photonphoton', 'collisions', 'at', 'cern', 'lep2', 'is', 'considered', 'in', 'the', 'framework', 'of', 'the', 'ktfactorization', 'approach', 'both', 'direct', 'and', 'resolved', 'photon', 'contributions', 'are', 'taken', 'into', 'account', 'the', 'unintegrated', 'gluon', 'distributions', 'in', 'a', 'photon', 'are', 'either', 'obtained', 'from', 'the', 'full', 'ccfm', 'evolution', 'equation', 'or', 'from', 'the', 'kimbermartinryskin', 'prescription', 'the', 'predicted', 'beauty', 'cross', 'section', 'reasonably', 'agrees', 'with', 'the', 'recent', 'experimental', 'data', 'taken', 'by', 'the', 'aleph', 'collaboration', 'we', 'argue', 'that', 'theoretical', 'and', 'experimental', 'studies', 'of', 'the', 'azimuthal', 'correlations', 'in', 'heavy', 'quark', 'production', 'at', 'high', 'energies', 'can', 'serve', 'as', 'a', 'crucial', 'probe', 'of', 'the', 'unintegrated', 'gluon', 'densities']] | [0.004478791321162134, 0.21379237460981435, -0.2005776777950814, 0.1967810362317929, 0.0014301771589089185, -0.076537110163675, -0.010198729840340093, 0.3596308182847376, -0.1596011610769589, -0.26704282911183935, -0.07630800460174214, -0.3532588440769662, 0.09769245379478282, 0.14304816955276087, 0.09733429717986535, 0.13471582460139567, 0.14721295872004703, -0.045596413944925494, -0.007583846044629657, -0.19272322697603764, 0.3291658541711513, 0.0663230836216826, 0.26683484266201657, 0.22404001979642393, 0.07556707752155489, 0.08990006947230238, -0.13331006291628, -0.034739498766915254, -0.09491091406418188, 0.05655546084047577, 0.26722574960513157, 0.07436623300357799, 0.1260263031387391, -0.42180549083665636, -0.12826544358298028, 0.03813502690172754, 0.14658499549841508, 0.11621494262847894, -0.057058288754584886, -0.3115113112144172, 0.027898381624254398, -0.27636451821308583, -0.13972938208704969, -0.07854859675474775, -0.032167684747643456, -0.027293968596495688, -0.33720845054449455, 0.09766506044373575, -0.10302707517015126, -0.018121594965729553, -0.034944095221968986, -0.24790417203621473, -0.12972481851951065, 0.05533228774826663, 0.0910026667091491, 0.09881586993772846, 0.1541404039671761, -0.21319091616775646, -0.18266315119641754, 0.37639761035097763, -0.04225460837672775, -0.143961123515813, 0.12450251837738809, -0.24163456739916, -0.13835396113427123, 0.143698629438101, 0.21623421214462724, 0.08368096810378726, -0.21580237474214906, 0.0967881831760072, -0.011378533051659664, 0.11905538370895859, 0.06774682685500011, 0.06191763586442297, 0.2066326911347763, 0.21414984928560443, -0.11770598521979991, 0.04682693860377185, -0.07717352950324614, -0.10742631107374716, -0.44848351636028383, -0.04545287419265757, -0.11676141126372386, 0.03926029627230795, -0.06199403328173503, -0.026125627492244046, 0.32417217595502734, 0.08938326247880468, 0.2931733579316642, -0.0004038799525005743, 0.38501935607928317, 0.12387102086480202, 0.06837212650376993, 0.03982123125509437, 0.3119696921785362, 0.1818643833491175, 0.19640427194341706, -0.22901114601942632, 0.05589829974390644, 0.05448673767144404] |
711.307 | On irreducible sextics with non-abelian fundamental group | We calculate the fundamental groups $\pi=\pi_1(P^2\setminus B)$ for all
irreducible plane sextics $B\subset\P^2$ with simple singularities for which
$\pi$ is known to admit a dihedral quotient $D_{10}$. All groups found are
shown to be finite, two of them being of large order: 960 and 21600.
| math.AG | we calculate the fundamental groups pipi_1p2setminus b for all irreducible plane sextics bsubsetp2 with simple singularities for which pi is known to admit a dihedral quotient d_10 all groups found are shown to be finite two of them being of large order 960 and 21600 | [['we', 'calculate', 'the', 'fundamental', 'groups', 'pipi_1p2setminus', 'b', 'for', 'all', 'irreducible', 'plane', 'sextics', 'bsubsetp2', 'with', 'simple', 'singularities', 'for', 'which', 'pi', 'is', 'known', 'to', 'admit', 'a', 'dihedral', 'quotient', 'd_10', 'all', 'groups', 'found', 'are', 'shown', 'to', 'be', 'finite', 'two', 'of', 'them', 'being', 'of', 'large', 'order', '960', 'and', '21600']] | [-0.18425214496105477, 0.1443703184770637, -0.05524813951274683, 0.07194751034609886, -0.12425727823879136, -0.16196277823169217, -0.03327175546004329, 0.3879141597033933, -0.2807880527404852, -0.24133292871505715, 0.10482980751670724, -0.2890694667260314, -0.10934993213172568, 0.20630156870411578, -0.042408318258821964, -0.007528159433879705, -0.004487695973799672, 0.12383765216137088, -0.08672720789476189, -0.30084008385622224, 0.30990432670643164, -0.09798629239721354, 0.19547830662841714, 0.025395817448233448, 0.08977548906926153, -0.006406152263543633, -0.029774490387861206, -0.0026808035300048285, -0.1295276299162313, 0.06636935223413762, 0.34216128751029107, 0.013036763273872608, 0.1067494009838028, -0.30019124196625724, -0.12374140707191167, 0.2224102657272069, 0.16704162362919645, 0.04557304132762257, 0.020135067814831122, -0.23094437349327776, 0.19086807705245393, -0.18772256859513217, -0.15564299175559088, -0.10060929743096579, 0.10395895573852021, 0.012825144411519517, -0.21390616763816322, 0.007339598091189252, 0.02354570914081536, 0.09241291215686603, -0.015783049783474484, -0.17127509960948034, -0.044342608423903584, 0.16744732589265982, -0.005745053318394131, 0.043483210554303126, 0.024983227025544227, -0.03734263348891292, -0.08987904716889526, 0.4580926694149195, 0.02510787935136969, -0.20225512106404747, 0.1863747712354674, -0.20491080373785522, -0.15745631642747931, 0.18432371675708267, 0.09429251807633528, 0.16166970878839493, -0.09095512142101693, 0.09666906435686964, -0.07858557869182077, 0.082585851133931, 0.10909708609891146, -0.026952043348966642, 0.14949883628896501, 0.053290488826500816, 0.06192664968846149, 0.09027982175859167, -0.017118586590757247, -0.007400500046652417, -0.32035522448808645, -0.1468649001488852, -0.05964342214242924, 0.09829338408226884, -0.0842462344589876, -0.17961465243756403, 0.364491569203173, -0.0044383547961885155, 0.19240944988505784, 0.11013754836532699, 0.1942522579067668, 0.04842414351743321, 0.11274464920753353, 0.08569793874224604, 0.17893585683994515, 0.2029090964257024, -0.13848963977639064, -0.15376369860889608, -0.040625290728585665, 0.12144882961847754] |
711.3071 | The Hot Interstellar Medium in Normal Elliptical Galaxies. II.
Morphological Evidence for AGN Feedback | We report on the discovery of a new quantitative relationship between X-ray
gas morphology and radio and X-ray AGN luminosities in normal elliptical
galaxies. This is the second paper in a series using data on 54 objects from
the Chandra public archive and builds on the findings of Paper I, which
demonstrated that hydrostatic equilibrium in elliptical galaxies holds, at
best, only approximately and that the shape of the X-ray isophotes is unrelated
to the shape of the gravitational potential. Instead, the gas is almost always
asymmetrically disturbed. In this paper, we quantify the amount of asymmetry
and study its correlation with other galaxy properties. We also determine radio
powers and derive X-ray AGN luminosities for our galaxy sample. We find that
the amount of asymmetry in the gas is correlated with both measures of AGN
activity, in the sense that the hot gas is more disturbed in galaxies with
higher radio and X-ray AGN luminosities. We find no evidence that galaxy
density has significant effects on gas morphology. We do however find evidence
for a correlation between gas asymmetry and the presence of hot ambient gas,
which we interpret as a signature of hydrodynamic interactions with an external
ambient medium. Surprisingly, the AGN-morphology connection persists all the
way down to the weakest AGN luminosities in rather X-ray faint galaxies. This
is strong morphological evidence that supports the general importance of AGN
feedback, even in normal elliptical galaxies.
| astro-ph | we report on the discovery of a new quantitative relationship between xray gas morphology and radio and xray agn luminosities in normal elliptical galaxies this is the second paper in a series using data on 54 objects from the chandra public archive and builds on the findings of paper i which demonstrated that hydrostatic equilibrium in elliptical galaxies holds at best only approximately and that the shape of the xray isophotes is unrelated to the shape of the gravitational potential instead the gas is almost always asymmetrically disturbed in this paper we quantify the amount of asymmetry and study its correlation with other galaxy properties we also determine radio powers and derive xray agn luminosities for our galaxy sample we find that the amount of asymmetry in the gas is correlated with both measures of agn activity in the sense that the hot gas is more disturbed in galaxies with higher radio and xray agn luminosities we find no evidence that galaxy density has significant effects on gas morphology we do however find evidence for a correlation between gas asymmetry and the presence of hot ambient gas which we interpret as a signature of hydrodynamic interactions with an external ambient medium surprisingly the agnmorphology connection persists all the way down to the weakest agn luminosities in rather xray faint galaxies this is strong morphological evidence that supports the general importance of agn feedback even in normal elliptical galaxies | [['we', 'report', 'on', 'the', 'discovery', 'of', 'a', 'new', 'quantitative', 'relationship', 'between', 'xray', 'gas', 'morphology', 'and', 'radio', 'and', 'xray', 'agn', 'luminosities', 'in', 'normal', 'elliptical', 'galaxies', 'this', 'is', 'the', 'second', 'paper', 'in', 'a', 'series', 'using', 'data', 'on', '54', 'objects', 'from', 'the', 'chandra', 'public', 'archive', 'and', 'builds', 'on', 'the', 'findings', 'of', 'paper', 'i', 'which', 'demonstrated', 'that', 'hydrostatic', 'equilibrium', 'in', 'elliptical', 'galaxies', 'holds', 'at', 'best', 'only', 'approximately', 'and', 'that', 'the', 'shape', 'of', 'the', 'xray', 'isophotes', 'is', 'unrelated', 'to', 'the', 'shape', 'of', 'the', 'gravitational', 'potential', 'instead', 'the', 'gas', 'is', 'almost', 'always', 'asymmetrically', 'disturbed', 'in', 'this', 'paper', 'we', 'quantify', 'the', 'amount', 'of', 'asymmetry', 'and', 'study', 'its', 'correlation', 'with', 'other', 'galaxy', 'properties', 'we', 'also', 'determine', 'radio', 'powers', 'and', 'derive', 'xray', 'agn', 'luminosities', 'for', 'our', 'galaxy', 'sample', 'we', 'find', 'that', 'the', 'amount', 'of', 'asymmetry', 'in', 'the', 'gas', 'is', 'correlated', 'with', 'both', 'measures', 'of', 'agn', 'activity', 'in', 'the', 'sense', 'that', 'the', 'hot', 'gas', 'is', 'more', 'disturbed', 'in', 'galaxies', 'with', 'higher', 'radio', 'and', 'xray', 'agn', 'luminosities', 'we', 'find', 'no', 'evidence', 'that', 'galaxy', 'density', 'has', 'significant', 'effects', 'on', 'gas', 'morphology', 'we', 'do', 'however', 'find', 'evidence', 'for', 'a', 'correlation', 'between', 'gas', 'asymmetry', 'and', 'the', 'presence', 'of', 'hot', 'ambient', 'gas', 'which', 'we', 'interpret', 'as', 'a', 'signature', 'of', 'hydrodynamic', 'interactions', 'with', 'an', 'external', 'ambient', 'medium', 'surprisingly', 'the', 'agnmorphology', 'connection', 'persists', 'all', 'the', 'way', 'down', 'to', 'the', 'weakest', 'agn', 'luminosities', 'in', 'rather', 'xray', 'faint', 'galaxies', 'this', 'is', 'strong', 'morphological', 'evidence', 'that', 'supports', 'the', 'general', 'importance', 'of', 'agn', 'feedback', 'even', 'in', 'normal', 'elliptical', 'galaxies']] | [-0.07236471980513479, 0.07519630157003888, -0.09053063819323419, 0.11789242323155943, -0.0981296199287449, -0.033932957065366365, 0.054698038787801086, 0.4845624593349826, -0.13501949146496062, -0.3118309454230065, 0.04433787196534705, -0.3187268206668931, -0.08102299234503683, 0.19070754576236684, -0.006489412973041524, -0.05473940699279725, 0.0032896325110068803, -0.09636247036133731, -0.06767173364506995, -0.2637411923155597, 0.33837634643327585, 0.07158293534376764, 0.22672855795581162, 0.014673083411521801, 0.08499381600492065, -0.06932351793032847, -0.08690897179453119, 0.0063334080269795996, -0.10209134799758128, 0.05121044427935498, 0.2357260666046889, 0.09550923070937144, 0.23061020599623144, -0.3797764472390723, -0.1908216174762649, 0.0987914823759976, 0.17700332631764715, 0.044137717688354006, -0.1048352168055712, -0.22335101201941696, 0.05140662369345814, -0.20238509005572222, -0.16302978394274062, 0.03782415744074412, 0.04574654288668547, 0.02677495862153131, -0.2048706209526755, 0.1817879453192137, 0.07221871539007259, 0.09225545055331183, -0.1238437283853902, -0.016442152026565234, -0.04656710956375339, 0.06943194810811917, 0.035638042838599546, 0.0575914664895427, 0.19486536039358776, -0.16842213191901517, -0.03169784424944392, 0.3896887146117252, -0.037441792221001115, -0.008259184747926482, 0.26265965240925476, -0.24621808069919232, -0.18639774163320408, 0.1140443219918461, 0.16692390709816782, 0.05574421882963413, -0.14858278994672472, -0.00529416950953975, -0.08666504267259316, 0.2402370240586468, 0.0013970454117353957, 0.06605392365753483, 0.2895596780763145, 0.08304389870778622, 0.06700174784472503, 0.15814395328685996, -0.18034640204884458, -0.002060762553511164, -0.24537661459831372, -0.10545794241708008, -0.13782352821180352, 0.08407210515426936, -0.11050899319482362, -0.12285606875889915, 0.34603594439615054, 0.10666242140474953, 0.22113035737147815, 0.056088552477215475, 0.3315785329175901, 0.07484246751358378, 0.07456470681118625, 0.13677450603872285, 0.30975388800764636, 0.1533521956760232, 0.07148283364777827, -0.2656897512434752, 0.10262673597719976, -0.020730946065277405] |
711.3072 | Robust Global Stabilizability by Means of Sampled-Data Control with
Positive Sampling Rate | This work proposes a notion of robust reachability of one set from another
set under constant control. This notion is used to construct a control
strategy, involving sequential set-to-set reachability, which guarantees robust
global stabilization of nonlinear sampled data systems with positive sampling
rate. Sufficient conditions for robust reachability of one set from another
under constant control are also provided. Finally, the proposed method is
illustrated through two examples.
| math.OC | this work proposes a notion of robust reachability of one set from another set under constant control this notion is used to construct a control strategy involving sequential settoset reachability which guarantees robust global stabilization of nonlinear sampled data systems with positive sampling rate sufficient conditions for robust reachability of one set from another under constant control are also provided finally the proposed method is illustrated through two examples | [['this', 'work', 'proposes', 'a', 'notion', 'of', 'robust', 'reachability', 'of', 'one', 'set', 'from', 'another', 'set', 'under', 'constant', 'control', 'this', 'notion', 'is', 'used', 'to', 'construct', 'a', 'control', 'strategy', 'involving', 'sequential', 'settoset', 'reachability', 'which', 'guarantees', 'robust', 'global', 'stabilization', 'of', 'nonlinear', 'sampled', 'data', 'systems', 'with', 'positive', 'sampling', 'rate', 'sufficient', 'conditions', 'for', 'robust', 'reachability', 'of', 'one', 'set', 'from', 'another', 'under', 'constant', 'control', 'are', 'also', 'provided', 'finally', 'the', 'proposed', 'method', 'is', 'illustrated', 'through', 'two', 'examples']] | [-0.14091206943967205, 0.038416398068269096, -0.06773131421726683, 0.045985817453702504, -0.08192838674100737, -0.23599937332767076, 0.09279325942549368, 0.35648654665851937, -0.3329208228615639, -0.273059643049171, 0.1524291058556865, -0.18805177098787998, -0.15436928341522868, 0.24964515470724175, -0.13918336309776033, 0.15267235347056302, 0.08430774368183769, 0.039856032535865685, -0.020706277408137703, -0.26229882318580494, 0.33454697450244986, -0.008409891506164347, 0.28245891463281453, -0.01977117477234561, 0.14897632446524728, 0.017651298268954608, -0.020915683922425345, 0.05285283561418022, -0.13835687735590382, 0.13828266810193873, 0.25455359554431145, 0.2146247766264107, 0.3731169965712057, -0.3586389607601408, -0.15327003812147438, 0.1400707913832604, 0.06122720872551419, 0.12647635635980609, -0.09039830219378506, -0.2929592104493708, 0.13360551922865535, -0.13140109530987515, -0.09995121655283846, -0.12755048686665468, -0.04241082375950139, -0.010430041849073292, -0.37393912994235323, 0.018641640698331394, 0.05972305059001066, 0.06648643179864124, -0.0826698619791347, -0.050864926549484546, -0.012822236201010537, 0.08758289504634298, 0.024734152879134035, -0.0005867672642099037, 0.11198985739273654, -0.01796940601417336, -0.18336811455884489, 0.34566100632798846, -0.025707191332965496, -0.26359238772504573, 0.18923335439404068, -0.016977757525940735, -0.15273484169923957, 0.15054879461725554, 0.17753524311642715, 0.16287586400690285, -0.21374334396281536, 0.03424380731809398, -0.07188281080132161, 0.17144473289490503, 0.03685617394934314, 0.04066005153446526, 0.11501418027108994, 0.2164886844870837, 0.2190146436172443, 0.18661808055164159, -0.0030358380754478276, -0.11980205031273805, -0.3247893182223366, -0.0691468060232591, -0.12999591070051858, 0.012333669092344202, -0.07408364823735926, -0.18018637970089912, 0.388133329325828, 0.17696176252017418, 0.1709181639649298, 0.12796874451484747, 0.3370959535241127, 0.1030771559476768, -0.005829699546692596, 0.07053755473453498, 0.1663498577216397, 0.1231546335435216, 0.05106769145155946, -0.20136807790781924, 0.12385492613944023, 0.08384359563174455] |
711.3073 | Operators of the $q$-oscillator | We scrutinize the possibility of extending the result of \cite{ccr} to the
case of q-deformed oscillator for $q$ real; for this we exploit the whole range
of the deformation parameter as much as possible. We split the case into two
depending on whether a solution of the commutation relation is bounded or not.
Our {\it leitmotif} is {\it subnormality}.
The deformation parameter $q$ is reshaped and this is what makes our approach
effective. The newly arrived parameter, the operator $C$, has two remarkable
properties: it separates in the commutation relation the annihilation and
creation operators from the deformation as well as it $q$-commutes with those
two. This is why introducing the operator $C$ seems to be far-reaching.
| math.FA math-ph math.MP | we scrutinize the possibility of extending the result of citeccr to the case of qdeformed oscillator for q real for this we exploit the whole range of the deformation parameter as much as possible we split the case into two depending on whether a solution of the commutation relation is bounded or not our it leitmotif is it subnormality the deformation parameter q is reshaped and this is what makes our approach effective the newly arrived parameter the operator c has two remarkable properties it separates in the commutation relation the annihilation and creation operators from the deformation as well as it qcommutes with those two this is why introducing the operator c seems to be farreaching | [['we', 'scrutinize', 'the', 'possibility', 'of', 'extending', 'the', 'result', 'of', 'citeccr', 'to', 'the', 'case', 'of', 'qdeformed', 'oscillator', 'for', 'q', 'real', 'for', 'this', 'we', 'exploit', 'the', 'whole', 'range', 'of', 'the', 'deformation', 'parameter', 'as', 'much', 'as', 'possible', 'we', 'split', 'the', 'case', 'into', 'two', 'depending', 'on', 'whether', 'a', 'solution', 'of', 'the', 'commutation', 'relation', 'is', 'bounded', 'or', 'not', 'our', 'it', 'leitmotif', 'is', 'it', 'subnormality', 'the', 'deformation', 'parameter', 'q', 'is', 'reshaped', 'and', 'this', 'is', 'what', 'makes', 'our', 'approach', 'effective', 'the', 'newly', 'arrived', 'parameter', 'the', 'operator', 'c', 'has', 'two', 'remarkable', 'properties', 'it', 'separates', 'in', 'the', 'commutation', 'relation', 'the', 'annihilation', 'and', 'creation', 'operators', 'from', 'the', 'deformation', 'as', 'well', 'as', 'it', 'qcommutes', 'with', 'those', 'two', 'this', 'is', 'why', 'introducing', 'the', 'operator', 'c', 'seems', 'to', 'be', 'farreaching']] | [-0.10058738378524457, 0.13691794781581215, -0.09171522434841356, 0.06314142218224056, -0.12319606366243376, -0.10943804393400965, 0.02215564825936504, 0.34474149654092995, -0.3082121842581293, -0.2727324779914773, 0.0881952472952316, -0.26208689069051455, -0.16397604696331142, 0.1966823625560526, -0.035316757052003045, 0.016877310658278674, 0.007722696159844813, 0.07995609566569328, -0.07075340645438384, -0.213282800886942, 0.37624186988434066, 0.032580050728891204, 0.25167497481502915, 0.061837058226861384, 0.06635327332693597, 0.00404339422998221, 0.019617704522755484, -0.0027000222375373477, -0.11369641635404981, 0.0936036769412053, 0.20150278542271774, 0.14934699711106394, 0.23374427506781142, -0.3296258546250022, -0.18679328596462375, 0.1350666060436355, 0.15004916212157063, 0.08847713232364343, -3.498588668425446e-05, -0.25011354927378504, 0.059569396172731146, -0.20000007128262, -0.1363441522516634, -0.06889361473529235, 0.06557336801096149, -0.025094963396575465, -0.2393396760660993, 0.05084949990445951, 0.11811921831483588, -0.005037123041794352, -0.08166521800600963, -0.09289687793377949, -0.026430501881986857, 0.11725906008328109, 0.04111650896906529, 0.04088142331203689, 0.09016353762911065, -0.10767278181105529, -0.051823151731134755, 0.4097434014021217, -0.013005102158564588, -0.2446725706347143, 0.17447878032436837, -0.14819954841843117, -0.10194727837148568, 0.02860188653247188, 0.07269061272154036, 0.11650860454968136, -0.10440596604881727, 0.13901129867375384, -0.048436349427894404, 0.12762938942254076, 0.06717538481335276, 0.013045755324318358, 0.15823934711515902, 0.1680625347785004, 0.07052760218958491, 0.16206233067660714, -0.038321821932154505, -0.10878420932997909, -0.35045932861773865, -0.18575833045432102, -0.17085469117509605, 0.06555650657176992, -0.07555376395719814, -0.15009801689454394, 0.4023441543397696, 0.14956364328770533, 0.25349370783863023, 0.008377820957937966, 0.25193090304408383, 0.17027979691350914, 0.12482709349537997, 0.0034093108230634876, 0.2758493646331455, 0.13959747768898048, 0.08391952028336085, -0.20696574608066484, 0.029353662252264177, 0.07526637419043412] |
711.3074 | On the semi-regular module and vertex operator algebras | We prove a conjecture stated in a previous paper by the author about the
existence of canonical filtrations for a family of vertex operator algebras in
rational levels.
| math.RT math.QA | we prove a conjecture stated in a previous paper by the author about the existence of canonical filtrations for a family of vertex operator algebras in rational levels | [['we', 'prove', 'a', 'conjecture', 'stated', 'in', 'a', 'previous', 'paper', 'by', 'the', 'author', 'about', 'the', 'existence', 'of', 'canonical', 'filtrations', 'for', 'a', 'family', 'of', 'vertex', 'operator', 'algebras', 'in', 'rational', 'levels']] | [-0.18399611780686037, 0.038546763776269345, -0.09486871551988381, 0.07350946510476726, -0.056031203363090754, -0.09580454484759164, 0.03264795393832693, 0.28517721174284816, -0.30147293609167847, -0.23681756474875978, 0.053009823438644944, -0.25256788982577355, -0.1731531090502228, 0.12588276015594602, -0.19730023590714804, 0.004516421551150935, 0.0902098666078278, 0.08517280230963868, -0.08673415361304901, -0.3109590723179281, 0.46285066354487625, -0.004312337750369417, 0.16906996986030468, 0.10374755618561592, 0.12396420298942498, 0.018314738125939454, -0.014638726466468402, -0.01223885570652783, -0.1895297646322953, 0.1661815225545849, 0.3212193451555712, 0.07083801914372348, 0.3181413231151445, -0.3424334499452795, -0.15716754489611567, 0.17331123348724628, 0.10520174783388418, 0.06297663143569869, -0.031063787015487572, -0.24542279608015502, 0.10654526756791581, -0.20948484666379436, -0.21644708312981362, -0.015666859490530833, 0.0432350364114557, -0.006719928700476885, -0.26192272773810793, 0.03507622863565173, 0.17229906795546412, 0.17895483628048428, -0.1144691191480628, -0.11221151213560786, -0.03398124733939767, 0.03114033386477136, -0.025057855635947947, 0.02601115601802511, -0.008524589955673687, -0.09713201713748276, -0.22711564041674137, 0.2769519218106455, -0.028656825622809783, -0.19724471248420222, 0.033849757563854964, -0.16825434633730246, -0.26142227463424206, 0.04867107514292002, 0.027418182164962803, 0.16986593071903502, -0.08601436005639178, 0.17706358093502267, -0.18119861305292165, 0.02310029529534014, 0.18112715633053864, -0.017245281354657242, 0.11490500731659788, 0.06069040225286569, 0.11532093917152711, 0.15751214285514184, 0.11842866215322699, -0.056324228286809684, -0.34385202053402153, -0.1936335390367146, -0.11836405590708766, 0.13243839008334493, -0.048513695739010085, -0.1623799025214144, 0.46901821877275196, 0.1223448143074555, 0.20388603370104516, 0.16610747665565992, 0.18224323028698564, 0.09829707849504692, 0.028437407354691198, 0.045037046374220936, 0.15312742689690953, 0.1939127647534146, 0.028488673668886935, -0.07045982877856918, 0.035145157149859836, 0.2818567338399589] |
711.3075 | Dimensional tuning of electronic states under strong and frustrated
interactions | We study a model of strongly interacting spinless fermions on an anisotropic
triangular lattice. At half-filling and the limit of strong repulsive
nearest-neighbor interactions, the fermions align in stripes and form an
insulating state. When a particle is doped, it either follows a one-dimensional
free motion along the stripes or fractionalizes perpendicular to the stripes.
The two propagations yield a dimensional tuning of the electronic state. We
study the stability of this phase and derive an effective model to describe the
low-energy excitations. Spectral functions are presented which can be used to
experimentally detect signatures of the charge excitations.
| cond-mat.str-el | we study a model of strongly interacting spinless fermions on an anisotropic triangular lattice at halffilling and the limit of strong repulsive nearestneighbor interactions the fermions align in stripes and form an insulating state when a particle is doped it either follows a onedimensional free motion along the stripes or fractionalizes perpendicular to the stripes the two propagations yield a dimensional tuning of the electronic state we study the stability of this phase and derive an effective model to describe the lowenergy excitations spectral functions are presented which can be used to experimentally detect signatures of the charge excitations | [['we', 'study', 'a', 'model', 'of', 'strongly', 'interacting', 'spinless', 'fermions', 'on', 'an', 'anisotropic', 'triangular', 'lattice', 'at', 'halffilling', 'and', 'the', 'limit', 'of', 'strong', 'repulsive', 'nearestneighbor', 'interactions', 'the', 'fermions', 'align', 'in', 'stripes', 'and', 'form', 'an', 'insulating', 'state', 'when', 'a', 'particle', 'is', 'doped', 'it', 'either', 'follows', 'a', 'onedimensional', 'free', 'motion', 'along', 'the', 'stripes', 'or', 'fractionalizes', 'perpendicular', 'to', 'the', 'stripes', 'the', 'two', 'propagations', 'yield', 'a', 'dimensional', 'tuning', 'of', 'the', 'electronic', 'state', 'we', 'study', 'the', 'stability', 'of', 'this', 'phase', 'and', 'derive', 'an', 'effective', 'model', 'to', 'describe', 'the', 'lowenergy', 'excitations', 'spectral', 'functions', 'are', 'presented', 'which', 'can', 'be', 'used', 'to', 'experimentally', 'detect', 'signatures', 'of', 'the', 'charge', 'excitations']] | [-0.17914358746393283, 0.24611173729065952, -0.056885337158967035, 0.06728815534763564, -0.03432958306876397, -0.16985612220573004, 0.01894494738533265, 0.38321526615758134, -0.2633700741600772, -0.21660499830702037, 0.033665433515455916, -0.34799640482724314, -0.08572160627815233, 0.0953966487737636, 0.08683057540011677, -0.027281145565211773, 0.0036670709607388935, 0.0024243779104165357, -0.08617125863604473, -0.20109722061280275, 0.2741103428368918, 0.0051033695068473765, 0.30584889813091115, 0.08016863156749744, 0.04388297138961427, 0.054298860298450845, 0.13105607055823762, 0.024987743029163942, -0.1665706925865526, 0.06346742107034331, 0.1899874403583582, -0.11949649636135107, 0.1466326907399402, -0.4494659008665217, -0.1911238133907318, 0.05484802342687893, 0.1942771830539586, 0.17012005113418016, -0.05140764919707006, -0.321469540895913, 0.005292226052419705, -0.16212815329470118, -0.18512391685649301, -0.0987205451655418, -0.05463600113124803, 0.019419507617413095, -0.25952890811657364, 0.08664745730530198, 0.07603931548944062, 0.037790608611146005, -0.09988286786693891, -0.07584046533876898, -0.06180168439003855, 0.07126786973888309, 0.039147821593691005, 0.040587762944550826, 0.1197470354687686, -0.16446599303463985, -0.1383799294837647, 0.38214272693401635, -0.06692932163026523, -0.21586201637230737, 0.22829242487146398, -0.12188439139851717, -0.05254938809502155, 0.14616115546474853, 0.16285418046784184, 0.09573807370745474, -0.14832042341400997, 0.0688602439829882, -0.061399214684662196, 0.20400750497561843, -0.009209290793579485, 0.04472213413453463, 0.2872948015597884, 0.1618380343301617, 0.067296152398216, 0.17795864072030956, -0.11289872444291232, -0.10357829577035525, -0.24535866775973278, -0.1628203389300692, -0.21918564881762545, 0.03151774922893806, -0.06175079388085945, -0.23391653271391988, 0.4517136064165206, 0.1487160511826391, 0.20189210360474658, -0.04992480496193913, 0.21423385726908842, 0.13847016350300323, 0.02835954435997539, 0.04180111329663883, 0.24062231164472647, 0.12562130742960356, 0.04616245707130116, -0.27447670572578453, -0.025806049228354236, 0.07477676741557779] |
711.3076 | Radiative decays of hadronic molecules | It is argued that radiative decays of scalars a0/f0(980) can serve as a
decisive tool in establishing the nature of the latter. In particular,
predictions for the widths of the radiative decays S->gamma V (S=a0/f0(980),
V=omega/rho/gamma) are given in the framework of the molecule model of the
scalars. Finite-range corrections are discussed in detail for the two-gamma
decays of hadronic molecules, with a special attention payed to the interplay
of various scales involved in the problem and to the gauge invariance of the
amplitude. The results are applied to the two-photon decay of the f0(980), and
the existing experimental data on this decay are argued to support the molecule
assignment for the scalar f0(980).
| hep-ph | it is argued that radiative decays of scalars a0f0980 can serve as a decisive tool in establishing the nature of the latter in particular predictions for the widths of the radiative decays sgamma v sa0f0980 vomegarhogamma are given in the framework of the molecule model of the scalars finiterange corrections are discussed in detail for the twogamma decays of hadronic molecules with a special attention payed to the interplay of various scales involved in the problem and to the gauge invariance of the amplitude the results are applied to the twophoton decay of the f0980 and the existing experimental data on this decay are argued to support the molecule assignment for the scalar f0980 | [['it', 'is', 'argued', 'that', 'radiative', 'decays', 'of', 'scalars', 'a0f0980', 'can', 'serve', 'as', 'a', 'decisive', 'tool', 'in', 'establishing', 'the', 'nature', 'of', 'the', 'latter', 'in', 'particular', 'predictions', 'for', 'the', 'widths', 'of', 'the', 'radiative', 'decays', 'sgamma', 'v', 'sa0f0980', 'vomegarhogamma', 'are', 'given', 'in', 'the', 'framework', 'of', 'the', 'molecule', 'model', 'of', 'the', 'scalars', 'finiterange', 'corrections', 'are', 'discussed', 'in', 'detail', 'for', 'the', 'twogamma', 'decays', 'of', 'hadronic', 'molecules', 'with', 'a', 'special', 'attention', 'payed', 'to', 'the', 'interplay', 'of', 'various', 'scales', 'involved', 'in', 'the', 'problem', 'and', 'to', 'the', 'gauge', 'invariance', 'of', 'the', 'amplitude', 'the', 'results', 'are', 'applied', 'to', 'the', 'twophoton', 'decay', 'of', 'the', 'f0980', 'and', 'the', 'existing', 'experimental', 'data', 'on', 'this', 'decay', 'are', 'argued', 'to', 'support', 'the', 'molecule', 'assignment', 'for', 'the', 'scalar', 'f0980']] | [-0.08664347319695931, 0.17259929710495714, -0.05262240121426346, 0.14048606845936193, -0.04987610251483348, -0.13768160059158732, 0.020947363142654097, 0.33014532653530976, -0.21851626247469638, -0.2407672827610293, 0.020205447763867408, -0.29191872480677794, -0.07338677061855928, 0.1554410096891392, 0.06914657594317251, 0.09984334615302516, 0.052709201904567515, 0.04439362024401759, -0.01528773910517024, -0.1920038676896208, 0.31521347488134027, 0.05040304206714437, 0.23051319691679767, 0.14167633786302497, -0.01784636800886375, -0.034829692470396426, -0.043465855468467283, -0.07615468983311911, -0.120414323700282, 0.10378796794254601, 0.20268367237604415, 0.10590176453587373, 0.19347542491615624, -0.38817126067304936, -0.16914701196658719, 0.1101994129350862, 0.15982141220828872, 0.13013103606414284, -0.036286373915064764, -0.33830047179818956, 0.075638529725807, -0.1340212309523276, -0.09525194768017779, -0.09137207983263038, 0.037441762775153355, -0.035207064159482986, -0.3326883325982537, 0.06364914610025448, -0.002000422267293608, -0.00024523738108843835, -0.03848142078700098, -0.15734124618271986, -0.038200516141489615, 0.10748538273378266, 0.16685034401781923, 0.03538356225534871, 0.1348070172290947, -0.16761236672440694, -0.1227192883264391, 0.45464983374417367, -0.07669492864662462, -0.2203236064508658, 0.14924417978974883, -0.1395045111945889, -0.16097589973192494, 0.1388412968513581, 0.17063067979305177, 0.08972319742446547, -0.12754779856920512, 0.12497139742140667, -0.008597027590112374, 0.11438050458148995, 0.016309699001680087, 0.10023896539214629, 0.1791760942789617, 0.17033419793110913, -0.0564937672309309, 0.13129603273973608, -0.07158314972604113, -0.10906307869129353, -0.3874900140338116, -0.1640554797491646, -0.12995815939932792, 0.03647923425074902, -0.03504848559906178, -0.11415121677491041, 0.3963661797864883, 0.10445667796994786, 0.21871852386021265, 0.014625395002128842, 0.2721265037082606, 0.10840642137499107, 0.07923890357136491, -0.0011920275896586277, 0.32375710656413353, 0.21234644692693208, 0.11110421356552087, -0.2888267203821457, 0.04557778671602005, 0.020660724060878426] |
711.3077 | On Low Complexity Maximum Likelihood Decoding of Convolutional Codes | This paper considers the average complexity of maximum likelihood (ML)
decoding of convolutional codes. ML decoding can be modeled as finding the most
probable path taken through a Markov graph. Integrated with the Viterbi
algorithm (VA), complexity reduction methods such as the sphere decoder often
use the sum log likelihood (SLL) of a Markov path as a bound to disprove the
optimality of other Markov path sets and to consequently avoid exhaustive path
search. In this paper, it is shown that SLL-based optimality tests are
inefficient if one fixes the coding memory and takes the codeword length to
infinity. Alternatively, optimality of a source symbol at a given time index
can be testified using bounds derived from log likelihoods of the neighboring
symbols. It is demonstrated that such neighboring log likelihood (NLL)-based
optimality tests, whose efficiency does not depend on the codeword length, can
bring significant complexity reduction to ML decoding of convolutional codes.
The results are generalized to ML sequence detection in a class of
discrete-time hidden Markov systems.
| cs.IT cs.CC math.IT | this paper considers the average complexity of maximum likelihood ml decoding of convolutional codes ml decoding can be modeled as finding the most probable path taken through a markov graph integrated with the viterbi algorithm va complexity reduction methods such as the sphere decoder often use the sum log likelihood sll of a markov path as a bound to disprove the optimality of other markov path sets and to consequently avoid exhaustive path search in this paper it is shown that sllbased optimality tests are inefficient if one fixes the coding memory and takes the codeword length to infinity alternatively optimality of a source symbol at a given time index can be testified using bounds derived from log likelihoods of the neighboring symbols it is demonstrated that such neighboring log likelihood nllbased optimality tests whose efficiency does not depend on the codeword length can bring significant complexity reduction to ml decoding of convolutional codes the results are generalized to ml sequence detection in a class of discretetime hidden markov systems | [['this', 'paper', 'considers', 'the', 'average', 'complexity', 'of', 'maximum', 'likelihood', 'ml', 'decoding', 'of', 'convolutional', 'codes', 'ml', 'decoding', 'can', 'be', 'modeled', 'as', 'finding', 'the', 'most', 'probable', 'path', 'taken', 'through', 'a', 'markov', 'graph', 'integrated', 'with', 'the', 'viterbi', 'algorithm', 'va', 'complexity', 'reduction', 'methods', 'such', 'as', 'the', 'sphere', 'decoder', 'often', 'use', 'the', 'sum', 'log', 'likelihood', 'sll', 'of', 'a', 'markov', 'path', 'as', 'a', 'bound', 'to', 'disprove', 'the', 'optimality', 'of', 'other', 'markov', 'path', 'sets', 'and', 'to', 'consequently', 'avoid', 'exhaustive', 'path', 'search', 'in', 'this', 'paper', 'it', 'is', 'shown', 'that', 'sllbased', 'optimality', 'tests', 'are', 'inefficient', 'if', 'one', 'fixes', 'the', 'coding', 'memory', 'and', 'takes', 'the', 'codeword', 'length', 'to', 'infinity', 'alternatively', 'optimality', 'of', 'a', 'source', 'symbol', 'at', 'a', 'given', 'time', 'index', 'can', 'be', 'testified', 'using', 'bounds', 'derived', 'from', 'log', 'likelihoods', 'of', 'the', 'neighboring', 'symbols', 'it', 'is', 'demonstrated', 'that', 'such', 'neighboring', 'log', 'likelihood', 'nllbased', 'optimality', 'tests', 'whose', 'efficiency', 'does', 'not', 'depend', 'on', 'the', 'codeword', 'length', 'can', 'bring', 'significant', 'complexity', 'reduction', 'to', 'ml', 'decoding', 'of', 'convolutional', 'codes', 'the', 'results', 'are', 'generalized', 'to', 'ml', 'sequence', 'detection', 'in', 'a', 'class', 'of', 'discretetime', 'hidden', 'markov', 'systems']] | [-0.1375935726675726, 0.04216182948411664, -0.07129892203790535, 0.10063531641153964, -0.09656802503464167, -0.2235628584056117, 0.11186334002940428, 0.4039002377872488, -0.3269921560734344, -0.3141359347778018, 0.13349853142530524, -0.23078304858479118, -0.15371283130454166, 0.1552263310475696, -0.11362977542947712, 0.10793226667530169, 0.08903085286978499, 0.06541658437345177, -0.10432947729437035, -0.3235175216598561, 0.22246716306489406, 0.13061162946022314, 0.2791118098774903, -0.029721149476245046, 0.10539736454622817, 0.020389981845038988, -0.008642392352201222, -0.007810619759506413, -0.11117188030775219, 0.08533364597020582, 0.30411174787358114, 0.2377984145589705, 0.27588304335672764, -0.3580104607833727, -0.21607800513517023, 0.13589871771788845, 0.1886988473034719, 0.10541904403362423, 0.02677936413411295, -0.2403021428091008, 0.12952948479436427, -0.14347908283525612, -0.0009831618503778287, 0.013291322282471117, -0.04797060924604358, 0.017059023830197043, -0.294272341743289, 0.011671798260760539, 0.061454819956062626, 0.026023066091251428, 0.03966662416046131, -0.15508610325230707, -0.004166586546316033, 0.08829748749156438, 0.055083783996191675, 0.04595802032937562, 0.09968590092778738, -0.05418055101333829, -0.15640282583799922, 0.31036033190875534, -0.04249757264499619, -0.2110191505558933, 0.1407821839384269, -0.034069943505788354, -0.14253070496488363, 0.19058360748957576, 0.2099838229894106, 0.11613055264266829, -0.14415038242060246, 0.07088230149418537, -0.01731761156891783, 0.21567633586320362, 0.09070110057724551, 0.06870344166998707, 0.15390174881880134, 0.16254950117824288, 0.08492315138781643, 0.168425564371795, -0.10204003575961992, -0.10819258359039113, -0.28908907437497483, -0.17409394382411847, -0.24512315977231733, 0.019571526936574844, -0.15972752025377954, -0.18579316934154208, 0.3184735869013128, 0.15436454880927203, 0.17367141894369742, 0.19280172400370552, 0.29562738322697224, 0.13660190085162563, 0.07229720306627098, 0.16986882231486516, 0.16202809394564524, 0.1275249411590353, -0.010484917857822785, -0.19398917262913615, 0.14296356082334005, 0.11665165654405774] |
711.3078 | Magnetic-field-induced enhancement of the vortex pinning in the
overdoped regime of La$_{2-x}$Sr$_x$CuO$_4$ : Relation to the microscopic
phase separation | In order to investigate the inhomogeneity of the superconducting (SC) state
in the overdoped high-$T_{\rm c}$ cuprates, we have measured the magnetic
susceptibility, $\chi$, of La$_{2-x}$Sr$_x$CuO$_4$ (LSCO) single crystals in
the overdoped regime in magnetic fields parallel to the c-axis up to 7 T on
warming after zero-field cooling. It has been found for $x$ = 0.198 and 0.219
that the temperature dependence of $\chi$ in 1 T shows a plateau, that is,
$\chi$ is almost independent of temperature in a moderate temperature-range in
the SC state. Moreover, a so-called second peak in the magnetization curve has
markedly appeared in these crystals. These results indicate an anomalous
enhancement of the vortex pinning and strongly suggest the occurrence of a
$microscopic$ phase separation into SC and normal-state regions in the
overdoped high-$T_{\rm c}$ cuprates.
| cond-mat.supr-con cond-mat.str-el | in order to investigate the inhomogeneity of the superconducting sc state in the overdoped hight_rm c cuprates we have measured the magnetic susceptibility chi of la_2xsr_xcuo_4 lsco single crystals in the overdoped regime in magnetic fields parallel to the caxis up to 7 t on warming after zerofield cooling it has been found for x 0198 and 0219 that the temperature dependence of chi in 1 t shows a plateau that is chi is almost independent of temperature in a moderate temperaturerange in the sc state moreover a socalled second peak in the magnetization curve has markedly appeared in these crystals these results indicate an anomalous enhancement of the vortex pinning and strongly suggest the occurrence of a microscopic phase separation into sc and normalstate regions in the overdoped hight_rm c cuprates | [['in', 'order', 'to', 'investigate', 'the', 'inhomogeneity', 'of', 'the', 'superconducting', 'sc', 'state', 'in', 'the', 'overdoped', 'hight_rm', 'c', 'cuprates', 'we', 'have', 'measured', 'the', 'magnetic', 'susceptibility', 'chi', 'of', 'la_2xsr_xcuo_4', 'lsco', 'single', 'crystals', 'in', 'the', 'overdoped', 'regime', 'in', 'magnetic', 'fields', 'parallel', 'to', 'the', 'caxis', 'up', 'to', '7', 't', 'on', 'warming', 'after', 'zerofield', 'cooling', 'it', 'has', 'been', 'found', 'for', 'x', '0198', 'and', '0219', 'that', 'the', 'temperature', 'dependence', 'of', 'chi', 'in', '1', 't', 'shows', 'a', 'plateau', 'that', 'is', 'chi', 'is', 'almost', 'independent', 'of', 'temperature', 'in', 'a', 'moderate', 'temperaturerange', 'in', 'the', 'sc', 'state', 'moreover', 'a', 'socalled', 'second', 'peak', 'in', 'the', 'magnetization', 'curve', 'has', 'markedly', 'appeared', 'in', 'these', 'crystals', 'these', 'results', 'indicate', 'an', 'anomalous', 'enhancement', 'of', 'the', 'vortex', 'pinning', 'and', 'strongly', 'suggest', 'the', 'occurrence', 'of', 'a', 'microscopic', 'phase', 'separation', 'into', 'sc', 'and', 'normalstate', 'regions', 'in', 'the', 'overdoped', 'hight_rm', 'c', 'cuprates']] | [-0.19184530925766374, 0.227924541385959, -0.06092217483003233, -0.006057425126618215, -0.02347254991275436, -0.1338787755168235, 0.10176673470392027, 0.36753775763062346, -0.23525200765366658, -0.27093055820135215, -0.010068170646319295, -0.3457830779481935, -0.0400822272254083, 0.19698877700867543, 0.026860453657635296, -0.015264311176191533, -0.0906693072605679, 0.040499620139598846, -0.1458172457015412, -0.2608927283364967, 0.2625139841504612, -0.02210183785197446, 0.342579209985112, 0.08938998070310887, 0.012662007860867804, -0.058623544992665755, 0.1453371545200357, 0.04812832759295142, -0.16797493699325322, -0.04056763313426316, 0.30222717409541133, -0.07745543395961992, 0.16316005921716453, -0.3611762128656602, -0.22759948226619683, 0.025452138287306744, 0.1685283347992724, 0.08801991063639351, -0.028921464007553993, -0.2164989476845749, 0.06867923758673404, -0.08783991669681464, -0.09012262247954246, -0.07497085378512398, 0.018609980075044257, -0.021432537052296956, -0.24982153282426156, 0.12721661808154056, 0.11086959296300694, 0.11634839930436539, -0.09504752049492743, -0.15473802025493888, -0.052910243320982646, -0.0340014512060594, 0.07477063951189168, 0.13345267250422985, 0.11661440515464158, -0.1557813338181786, -0.06309894122936913, 0.29371525878299964, -0.05268623216258973, 0.012283141326642674, 0.10081580321780825, -0.26837478952041566, -0.12060159482132957, 0.18574010640496516, 0.07791355101548078, 0.07572770373494087, -0.09239478308160057, 0.10195005550058132, -0.03447714352532368, 0.20298265306748278, 0.04221038692382001, 0.04272291364142927, 0.21975461895158158, 0.20283652744558106, 0.01506778363046016, 0.1453979764434061, -0.18082580799841186, -0.0273365248243488, -0.2307918737749107, -0.17533025608525987, -0.17183811691561215, 0.05606505165288921, -0.08877716630038304, -0.1877546710431405, 0.37220524497599455, 0.15654025895108703, 0.24335036934899942, -0.10970563230012323, 0.1700348879445259, 0.09322996928093542, 0.07492450920719199, 0.09829668409034667, 0.24959886765804226, 0.1774937852875877, 0.18465829153282157, -0.35001134026981356, 0.10809788205625333, -0.01909715908700387] |
711.3079 | The effect of massive binaries on stellar populations and supernova
progenitors | We compare our latest single and binary stellar model results from the
Cambridge STARS code to several sets of observations. We examine four stellar
population ratios, the number of blue to red supergiants, the number of
Wolf-Rayet stars to O supergiants, the number of red supergiants to Wolf-Rayet
stars and the relative number of Wolf-Rayet subtypes, WC to WN stars. These
four ratios provide a quantitative measure of nuclear burning lifetimes and the
importance of mass loss during various stages of the stars' lifetimes. In
addition we compare our models to the relative rate of type Ib/c to type II
supernovae to measure the amount of mass lost over the entire lives of all
stars. We find reasonable agreement between the observationally inferred values
and our predicted values by mixing single and binary star populations. However
there is evidence that extra mass loss is required to improve the agreement
further, to reduce the number of red supergiants and increase the number of
Wolf-Rayet stars.
| astro-ph | we compare our latest single and binary stellar model results from the cambridge stars code to several sets of observations we examine four stellar population ratios the number of blue to red supergiants the number of wolfrayet stars to o supergiants the number of red supergiants to wolfrayet stars and the relative number of wolfrayet subtypes wc to wn stars these four ratios provide a quantitative measure of nuclear burning lifetimes and the importance of mass loss during various stages of the stars lifetimes in addition we compare our models to the relative rate of type ibc to type ii supernovae to measure the amount of mass lost over the entire lives of all stars we find reasonable agreement between the observationally inferred values and our predicted values by mixing single and binary star populations however there is evidence that extra mass loss is required to improve the agreement further to reduce the number of red supergiants and increase the number of wolfrayet stars | [['we', 'compare', 'our', 'latest', 'single', 'and', 'binary', 'stellar', 'model', 'results', 'from', 'the', 'cambridge', 'stars', 'code', 'to', 'several', 'sets', 'of', 'observations', 'we', 'examine', 'four', 'stellar', 'population', 'ratios', 'the', 'number', 'of', 'blue', 'to', 'red', 'supergiants', 'the', 'number', 'of', 'wolfrayet', 'stars', 'to', 'o', 'supergiants', 'the', 'number', 'of', 'red', 'supergiants', 'to', 'wolfrayet', 'stars', 'and', 'the', 'relative', 'number', 'of', 'wolfrayet', 'subtypes', 'wc', 'to', 'wn', 'stars', 'these', 'four', 'ratios', 'provide', 'a', 'quantitative', 'measure', 'of', 'nuclear', 'burning', 'lifetimes', 'and', 'the', 'importance', 'of', 'mass', 'loss', 'during', 'various', 'stages', 'of', 'the', 'stars', 'lifetimes', 'in', 'addition', 'we', 'compare', 'our', 'models', 'to', 'the', 'relative', 'rate', 'of', 'type', 'ibc', 'to', 'type', 'ii', 'supernovae', 'to', 'measure', 'the', 'amount', 'of', 'mass', 'lost', 'over', 'the', 'entire', 'lives', 'of', 'all', 'stars', 'we', 'find', 'reasonable', 'agreement', 'between', 'the', 'observationally', 'inferred', 'values', 'and', 'our', 'predicted', 'values', 'by', 'mixing', 'single', 'and', 'binary', 'star', 'populations', 'however', 'there', 'is', 'evidence', 'that', 'extra', 'mass', 'loss', 'is', 'required', 'to', 'improve', 'the', 'agreement', 'further', 'to', 'reduce', 'the', 'number', 'of', 'red', 'supergiants', 'and', 'increase', 'the', 'number', 'of', 'wolfrayet', 'stars']] | [-0.03362211900218049, 0.13546460356120382, -0.008708975225312226, 0.10517858023465634, -0.09016281221255024, -0.03956871369013154, 0.15597493483730387, 0.3948170927057906, -0.12704702390630435, -0.3745676278698871, -0.004436863621799048, -0.3097777877048385, 0.003080628732809933, 0.2088790672459276, -0.11714660614362822, -0.03622498843309941, 0.17307400572533924, -0.016646694449996065, -0.04912088500909371, -0.32513584719584665, 0.31889283749638353, 0.019551393354493306, 0.1534085321217412, -0.07619898519109616, -0.009977443899005288, -0.14605642484342, -0.07510284335272978, -0.055957335064460226, -0.15312607764294292, 0.05419033288490027, 0.19709501829575168, 0.21134999203041377, 0.22825468598478815, -0.344390179927847, -0.19732047462333335, 0.12729545450947183, 0.21553833211066553, 0.06436072483022766, -0.07070588152472317, -0.20194431447293382, 0.10516752373063709, -0.22012267139649427, -0.16782864659638486, 0.03042604175691561, 0.056518931776603186, 0.07423996332132757, -0.24868764991235986, 0.09283496600379827, -0.0011193083549342856, 0.08122566011847883, -0.1066473206965162, -0.17293284967450834, -0.1203697247554196, 0.11768368466064424, 0.08325273105548127, 0.018226860546813595, 0.08983202129971554, -0.15826019508162195, -0.00958849619733306, 0.3879830223712616, -0.08834890774791924, -0.011617759288084216, 0.2675237837872218, -0.19433467819855163, -0.15046075194017824, 0.10565255247567576, 0.15632669688429593, 0.16818509998776746, -0.14153864949078457, -0.07223481775428986, 0.022204687231129443, 0.19653796330207912, 0.05830092633869953, 0.1077468377933234, 0.28073265795062136, 0.12633645866724957, -0.07293048207137007, 0.0943979875130647, -0.22753797273901177, -0.07522250071065728, -0.24465967602346364, -0.12707174465446391, -0.10406063625442784, 0.0688223216864394, -0.1943892336206684, -0.14872686011807584, 0.3473502945186139, 0.11857704936367709, 0.23649395192354328, 0.05342878197694606, 0.2752798764551876, 0.07391018601256513, 0.12002847225706252, 0.0856046944845286, 0.29707867184812886, 0.25439376348101467, 0.07570452861155656, -0.3059448346413286, 0.08982719526705672, 0.031576530087920954] |
711.308 | Complex Action, Prearrangement for Future and Higgs Broadening | We develop some formalism which is very general Feynman path integral in the
case of the action which is allowed to be complex. The major point is that the
effect of the imaginary part of the action (mainly) is to determine which
solution to the equations of motion gets realized. We can therefore look at the
model as a unification of the equations of motion and the ``initial
conditions". We have already earlier argued for some features matching well
with cosmology coming out of the model. A Hamiltonian formalism is put forward,
but it still has to have an extra factor in the probability of a certain
measurement result involving the time after the measurement time. A special
effect to be discussed is a broadening of the width of the Higgs particle. We
reach crudely a changed Breit-Wigner formula that is a normalized square root
of the originally expected one
| physics.gen-ph hep-ph | we develop some formalism which is very general feynman path integral in the case of the action which is allowed to be complex the major point is that the effect of the imaginary part of the action mainly is to determine which solution to the equations of motion gets realized we can therefore look at the model as a unification of the equations of motion and the initial conditions we have already earlier argued for some features matching well with cosmology coming out of the model a hamiltonian formalism is put forward but it still has to have an extra factor in the probability of a certain measurement result involving the time after the measurement time a special effect to be discussed is a broadening of the width of the higgs particle we reach crudely a changed breitwigner formula that is a normalized square root of the originally expected one | [['we', 'develop', 'some', 'formalism', 'which', 'is', 'very', 'general', 'feynman', 'path', 'integral', 'in', 'the', 'case', 'of', 'the', 'action', 'which', 'is', 'allowed', 'to', 'be', 'complex', 'the', 'major', 'point', 'is', 'that', 'the', 'effect', 'of', 'the', 'imaginary', 'part', 'of', 'the', 'action', 'mainly', 'is', 'to', 'determine', 'which', 'solution', 'to', 'the', 'equations', 'of', 'motion', 'gets', 'realized', 'we', 'can', 'therefore', 'look', 'at', 'the', 'model', 'as', 'a', 'unification', 'of', 'the', 'equations', 'of', 'motion', 'and', 'the', 'initial', 'conditions', 'we', 'have', 'already', 'earlier', 'argued', 'for', 'some', 'features', 'matching', 'well', 'with', 'cosmology', 'coming', 'out', 'of', 'the', 'model', 'a', 'hamiltonian', 'formalism', 'is', 'put', 'forward', 'but', 'it', 'still', 'has', 'to', 'have', 'an', 'extra', 'factor', 'in', 'the', 'probability', 'of', 'a', 'certain', 'measurement', 'result', 'involving', 'the', 'time', 'after', 'the', 'measurement', 'time', 'a', 'special', 'effect', 'to', 'be', 'discussed', 'is', 'a', 'broadening', 'of', 'the', 'width', 'of', 'the', 'higgs', 'particle', 'we', 'reach', 'crudely', 'a', 'changed', 'breitwigner', 'formula', 'that', 'is', 'a', 'normalized', 'square', 'root', 'of', 'the', 'originally', 'expected', 'one']] | [-0.12877677532999465, 0.1266155363721191, -0.14923646974998217, 0.07196416856332992, -0.09260179597108315, -0.1258467500889674, 0.012621076670475304, 0.33485913487772145, -0.26868777805007993, -0.28799100870577, 0.11496820517660429, -0.23634746783257773, -0.11720682750766476, 0.1699625826262248, -0.0335429697483778, 0.02572769907535985, 0.05345382394113889, 0.09717905627874036, -0.05284140155961116, -0.24369811557233334, 0.3137811275571585, 0.08429034910475214, 0.21000565925923487, 0.06747741916527351, 0.1151275304146111, -0.010762257739358272, -0.02260871362561981, 0.030292677953839303, -0.09873454891504177, 0.07558636217261665, 0.19381485072275004, 0.08793253484080196, 0.2526060405684014, -0.3764045778910319, -0.19888135318333905, 0.11579720394375424, 0.1261750051782777, 0.15611604196562742, -0.004657154838593366, -0.2660629818324621, 0.06439156432672462, -0.17033033333718778, -0.17518380398551622, -0.012834076158081492, 0.032070012014980116, -0.04460331734580298, -0.25764605914475397, 0.04144747906985382, 0.05570284657878801, 0.00025157780076066655, -0.04447465631955614, -0.10210540768302356, 0.006050719272655746, 0.10458814555158218, 0.0850796205488344, 0.0513674819873025, 0.10413695116682599, -0.1491247261626025, -0.08422279329660039, 0.42792548519248763, -0.05584531019597004, -0.218468930372037, 0.12876743375789373, -0.17097090623651942, -0.12741720942780377, 0.1274662501279575, 0.1251349865862479, 0.11579785838102301, -0.16598168905824423, 0.10282268540894923, -0.053029051404446366, 0.12179709814585901, 0.05273409164200227, 0.01031670272233896, 0.18491047292777996, 0.151795202633366, 0.05723208835658928, 0.13041649593506008, -0.08113477601359288, -0.12952897207190592, -0.34491151984781027, -0.1594597785885465, -0.15408569899077218, 0.076787969286864, -0.05658644545192753, -0.16382808089256287, 0.39500892569621404, 0.13955936043833692, 0.22747063220478594, 0.02505941250749553, 0.2766437860011744, 0.22353558571931595, 0.10982313010220726, 0.015954914197015266, 0.26619950811883125, 0.12426751497356842, 0.0842570108671983, -0.1992112889016668, 0.05177718184965973, 0.08484114459250122] |
711.3081 | Width of l^p balls | We say a map f:X \to Y is an \epsilon-embedding if it is continuous and the
diameter of the fibres is less than \epsilon. This type of maps is used in the
notion of Urysohn width (sometimes referred to as Alexandrov width), a_n(X). It
is the smallest real number such that there exists an \epsilon-embedding from X
to a n-dimensional polyhedron. Surprisingly few estimations of these numbers
can be found, and one of the aims of this paper is to present some. Following
Gromov, we take the slightly different point of view by looking at the smallest
dimension n for which there exists a \epsilon-embedding to a polyhedron of
dimension n. While bounds are obtained using Hadamard matrices, the Borsuk-Ulam
theorem, the filling radius of spheres, and lower bounds for the diameter of
sets of n+1 points not contained in a hemisphere (obtained by methods very
close to those of Ivanov and Pichugov). We are also able to give a complete
description in dimension 3 for 1 \leq p \leq 2.
| math.MG | we say a map fx to y is an epsilonembedding if it is continuous and the diameter of the fibres is less than epsilon this type of maps is used in the notion of urysohn width sometimes referred to as alexandrov width a_nx it is the smallest real number such that there exists an epsilonembedding from x to a ndimensional polyhedron surprisingly few estimations of these numbers can be found and one of the aims of this paper is to present some following gromov we take the slightly different point of view by looking at the smallest dimension n for which there exists a epsilonembedding to a polyhedron of dimension n while bounds are obtained using hadamard matrices the borsukulam theorem the filling radius of spheres and lower bounds for the diameter of sets of n1 points not contained in a hemisphere obtained by methods very close to those of ivanov and pichugov we are also able to give a complete description in dimension 3 for 1 leq p leq 2 | [['we', 'say', 'a', 'map', 'fx', 'to', 'y', 'is', 'an', 'epsilonembedding', 'if', 'it', 'is', 'continuous', 'and', 'the', 'diameter', 'of', 'the', 'fibres', 'is', 'less', 'than', 'epsilon', 'this', 'type', 'of', 'maps', 'is', 'used', 'in', 'the', 'notion', 'of', 'urysohn', 'width', 'sometimes', 'referred', 'to', 'as', 'alexandrov', 'width', 'a_nx', 'it', 'is', 'the', 'smallest', 'real', 'number', 'such', 'that', 'there', 'exists', 'an', 'epsilonembedding', 'from', 'x', 'to', 'a', 'ndimensional', 'polyhedron', 'surprisingly', 'few', 'estimations', 'of', 'these', 'numbers', 'can', 'be', 'found', 'and', 'one', 'of', 'the', 'aims', 'of', 'this', 'paper', 'is', 'to', 'present', 'some', 'following', 'gromov', 'we', 'take', 'the', 'slightly', 'different', 'point', 'of', 'view', 'by', 'looking', 'at', 'the', 'smallest', 'dimension', 'n', 'for', 'which', 'there', 'exists', 'a', 'epsilonembedding', 'to', 'a', 'polyhedron', 'of', 'dimension', 'n', 'while', 'bounds', 'are', 'obtained', 'using', 'hadamard', 'matrices', 'the', 'borsukulam', 'theorem', 'the', 'filling', 'radius', 'of', 'spheres', 'and', 'lower', 'bounds', 'for', 'the', 'diameter', 'of', 'sets', 'of', 'n1', 'points', 'not', 'contained', 'in', 'a', 'hemisphere', 'obtained', 'by', 'methods', 'very', 'close', 'to', 'those', 'of', 'ivanov', 'and', 'pichugov', 'we', 'are', 'also', 'able', 'to', 'give', 'a', 'complete', 'description', 'in', 'dimension', '3', 'for', '1', 'leq', 'p', 'leq', '2']] | [-0.1377418775111437, 0.11634291434978984, -0.06885905541917857, 0.06444470775313675, -0.037957624066278665, -0.15076969914576588, 0.0369732782292618, 0.35383866934434455, -0.2623119642273249, -0.2709545890367521, 0.10858706473441357, -0.31233907216365503, -0.1229596272467033, 0.2088694612194291, -0.10595066496171057, -0.0006795058067997589, 0.009849249538006808, 0.08217239573269206, -0.07644820985356894, -0.27078358492307253, 0.32141183752237873, -0.0206520077005467, 0.15795474811731017, 0.05832589368938523, 0.0911094921778011, -0.027427625905393677, 0.02492550438105622, 0.05911345190971213, -0.1973599847600032, 0.11988880612805267, 0.2462710268836578, 0.1407981849179658, 0.25122524782029143, -0.33061511600390076, -0.13802731998319573, 0.17886262636576944, 0.13915616191430566, 0.029524706814246363, 0.006739682556294343, -0.22822402764714378, 0.15228733680149376, -0.09453555761891252, -0.16821116515544846, -0.022526413824080545, 0.10362726112498957, -0.033622608723132594, -0.2676819967325119, 0.006954951445839149, 0.10118639438467868, 0.05770044787239064, -0.004563992493785918, -0.16691018021939433, -0.024680284877745984, 0.1153026272138745, 0.006918084229726125, 0.09020130053326926, 0.04636105706860476, -0.07338090273003806, -0.07045134893508957, 0.3784991986967404, -0.027604101469949134, -0.22326248256927905, 0.15586224590592523, -0.19231654980000765, -0.11731676815132445, 0.15880678298828357, 0.10626723125905675, 0.14480053751236377, -0.06494791935581495, 0.12339612231795292, -0.11015016102738788, 0.18503442798991113, 0.11035436394963385, 0.005824983654105488, 0.11760559036458075, 0.12742166660780854, 0.14217730330659406, 0.1291304602582172, -0.06928785049959141, -0.004108330990900012, -0.3341310772277853, -0.16192384973606644, -0.20816773426554658, 0.11919305270464119, -0.11587915441041867, -0.14962647940607413, 0.31321604774497885, 0.09241488369126968, 0.24665077259654508, 0.09099727248951026, 0.23086609373225228, 0.07707869266913107, 0.048041644895120576, 0.10610212881172842, 0.18423952373542468, 0.14517243958954865, 0.02987394078552504, -0.0933131520074847, 0.022033183775184786, 0.13367387290003108] |
711.3082 | Control Lyapunov Functions and Stabilization by Means of Continuous
Time-Varying Feedback | For a general time-varying system, we prove that existence of an "Output
Robust Control Lyapunov Function" implies existence of continuous time-varying
feedback stabilizer, which guarantees output asymptotic stability with respect
to the resulting closed-loop system. The main results of the present work
constitute generalizations of a well-known result towards feedback
stabilization due to J. M. Coron and L. Rosier concerning stabilization of
autonomous systems by means of time-varying periodic feedback.
| math.OC | for a general timevarying system we prove that existence of an output robust control lyapunov function implies existence of continuous timevarying feedback stabilizer which guarantees output asymptotic stability with respect to the resulting closedloop system the main results of the present work constitute generalizations of a wellknown result towards feedback stabilization due to j m coron and l rosier concerning stabilization of autonomous systems by means of timevarying periodic feedback | [['for', 'a', 'general', 'timevarying', 'system', 'we', 'prove', 'that', 'existence', 'of', 'an', 'output', 'robust', 'control', 'lyapunov', 'function', 'implies', 'existence', 'of', 'continuous', 'timevarying', 'feedback', 'stabilizer', 'which', 'guarantees', 'output', 'asymptotic', 'stability', 'with', 'respect', 'to', 'the', 'resulting', 'closedloop', 'system', 'the', 'main', 'results', 'of', 'the', 'present', 'work', 'constitute', 'generalizations', 'of', 'a', 'wellknown', 'result', 'towards', 'feedback', 'stabilization', 'due', 'to', 'j', 'm', 'coron', 'and', 'l', 'rosier', 'concerning', 'stabilization', 'of', 'autonomous', 'systems', 'by', 'means', 'of', 'timevarying', 'periodic', 'feedback']] | [-0.218066002507112, 0.053242145693470126, -0.0527692477551422, -0.021745262793930513, -0.06854087413687791, -0.18247656001310264, 0.04214415530275021, 0.28416123084191763, -0.28033223428231263, -0.2707825974935466, 0.1501575515139848, -0.16446982396633497, -0.18089976446603293, 0.2297249113043238, -0.14877885977779703, 0.10908521601398076, 0.06078968715321805, 0.0018648347917145916, -0.017291756908941483, -0.20589118577939058, 0.3515307312232575, 0.05638092890814213, 0.2178264652233338, -0.03246435119903513, 0.13207171195785383, 0.03850362280583275, -0.02956111938027399, -0.001466586661990732, -0.1302337308103493, 0.10585339907556772, 0.21103673857370658, 0.0870544893168179, 0.3395042928201812, -0.3360296279191971, -0.21573345982137004, 0.1315901957119682, 0.10790372101057853, 0.08697974929319961, -0.08766451668592969, -0.29420036303677727, 0.1389969900516527, -0.16856463649642786, -0.19301782710078572, -0.09619541417009064, 0.03033401752556009, 0.08721601265733625, -0.35697987298481165, 0.03868670969137124, 0.15910674655543908, 0.04800467566986169, -0.14777861842220383, -0.0440601673259932, -0.049682899311717064, 0.13756734542548657, -0.008891627990773745, 0.016217686056292483, 0.10788105156804834, -0.064789832968797, -0.15118051007656114, 0.2953319113701582, -0.06760983640727188, -0.20703804261450257, 0.20079304058370845, -0.07161944875094507, -0.13574498297114457, 0.1301539080882711, 0.18678626203244286, 0.08709317310713231, -0.11727786757318037, 0.0641532566589636, -0.049438097068507755, 0.18622855188192, 0.04639741490994181, 0.0876628869520833, 0.13853924914396235, 0.14585588216681833, 0.21325679106105652, 0.18122995263963407, 0.06541975453978272, -0.1377602719602042, -0.3260782239609398, -0.09575791123456188, -0.11437825050338038, 0.09357532395848206, -0.05728272403669377, -0.17811006221121975, 0.36463768109679223, 0.11376570375037513, 0.15492278902924486, 0.1217838146441084, 0.2995743990410119, 0.1294661954311388, -0.05596017334610224, 0.08266462130205972, 0.239421984769537, 0.22491106922139548, 0.09516837539683495, -0.2958294380456209, 0.07917633149772882, 0.09342468553887946] |
711.3083 | Cosmological implications of supersymmetric axion models | We derive general constraints on supersymmetric extension of axion models, in
particular paying careful attention to the cosmological effects of saxion. It
is found that for every mass range of the saxion from keV to TeV, severe
constraints on the energy density of the saxion are imposed. Together with
constraints from axino we obtain stringent upper bounds on the reheating
temperature.
| hep-ph | we derive general constraints on supersymmetric extension of axion models in particular paying careful attention to the cosmological effects of saxion it is found that for every mass range of the saxion from kev to tev severe constraints on the energy density of the saxion are imposed together with constraints from axino we obtain stringent upper bounds on the reheating temperature | [['we', 'derive', 'general', 'constraints', 'on', 'supersymmetric', 'extension', 'of', 'axion', 'models', 'in', 'particular', 'paying', 'careful', 'attention', 'to', 'the', 'cosmological', 'effects', 'of', 'saxion', 'it', 'is', 'found', 'that', 'for', 'every', 'mass', 'range', 'of', 'the', 'saxion', 'from', 'kev', 'to', 'tev', 'severe', 'constraints', 'on', 'the', 'energy', 'density', 'of', 'the', 'saxion', 'are', 'imposed', 'together', 'with', 'constraints', 'from', 'axino', 'we', 'obtain', 'stringent', 'upper', 'bounds', 'on', 'the', 'reheating', 'temperature']] | [-0.09312247214304498, 0.20259649381346878, -0.05767004130805125, 0.1567086072306561, -0.15517428126491484, -0.13565746895571956, 0.06003775206379226, 0.303649537952342, -0.18107588485753562, -0.38163381143183006, 0.13369098608191202, -0.2645925620082216, 0.025067056880378333, 0.2403216058518127, -0.02055953815197725, 0.025583241715050133, 0.05671151777820998, 0.06061948080104394, -0.08107892469289239, -0.26289352632631535, 0.30135589844134986, 0.09740592814126953, 0.18674434501616682, 0.14538656145364778, 0.04433975303850946, -0.06402192578925828, -0.017540587852785332, -0.08564165378081016, -0.256206696452864, 0.09147086142577597, 0.12584057780342667, 0.12119517398551564, 0.1457690128323729, -0.42947045159974656, -0.2356517455372654, 0.21184062101252255, 0.07633005741403484, 0.09968819408143154, -0.05697042955520761, -0.29468923352170184, 0.03810865564851976, -0.1669560890858535, -0.043739319840049154, 0.0038189845356219982, -0.019002619596411946, -0.05273451240824872, -0.31871184908220024, 0.11644525691622594, -0.034252064615549124, -0.07655700336288676, -0.09337136718123908, -0.14939812725967133, -0.07327892277084413, -0.0634744927500848, 0.19802446091226988, -0.023612626057240318, 0.20665833432528907, -0.17878829780966043, -0.015104733743384237, 0.42703336923093094, -0.10855691841818758, -0.12453535435812883, 0.11524352139686464, -0.10328221621113967, -0.261776637827947, 0.1208682184825178, 0.21937218870295852, 0.06967028876247465, -0.12133115617802641, 0.24426405818858107, -0.009624357134882421, 0.20101388827057892, 0.0748296339049569, 0.09679490673359575, 0.2919687970739896, 0.18408943971878558, 0.11739308848122104, 0.11506307332730684, -0.04036930050380284, -0.07061531929848869, -0.3831901936562824, 0.002014215485971482, -0.0956126165072449, 0.0783790029493756, -0.132870398011425, -0.08299572095389432, 0.36083642526941956, 0.18699098462391583, 0.22678720507557032, 0.0889090706640091, 0.304959986542092, 0.16618114998411448, 0.047041196246310826, 0.03255189600263218, 0.3271291235645042, 0.1470894470933031, 0.09781761563642592, -0.2314254908715604, -0.04110075942561275, 0.028779424585737897] |
711.3084 | Studies of the Lambda(1405) in Proton-Proton Collisions with ANKE at
COSY-Juelich | The lineshape of the Lambda(1405) was studied in the pp -> pK+ Y0 reaction at
a beam momentum of 3.65 GeV/c at COSY-Juelich. The ANKE spectrometer was used
to identify two protons, one positively charged kaon, and one negatively
charged pion in the final state. Invariant-mass and missing-mass techniques
were applied to separate two neighbouring neutral excited hyperon resonances,
the Sigma0(1385) and Lambda(1405). Both the shape and the position of the
Lambda(1405) distribution are similar to those measured in other reactions and
this information contributes to the ongoing debate regarding the structure of
this resonance.
| nucl-ex | the lineshape of the lambda1405 was studied in the pp pk y0 reaction at a beam momentum of 365 gevc at cosyjuelich the anke spectrometer was used to identify two protons one positively charged kaon and one negatively charged pion in the final state invariantmass and missingmass techniques were applied to separate two neighbouring neutral excited hyperon resonances the sigma01385 and lambda1405 both the shape and the position of the lambda1405 distribution are similar to those measured in other reactions and this information contributes to the ongoing debate regarding the structure of this resonance | [['the', 'lineshape', 'of', 'the', 'lambda1405', 'was', 'studied', 'in', 'the', 'pp', 'pk', 'y0', 'reaction', 'at', 'a', 'beam', 'momentum', 'of', '365', 'gevc', 'at', 'cosyjuelich', 'the', 'anke', 'spectrometer', 'was', 'used', 'to', 'identify', 'two', 'protons', 'one', 'positively', 'charged', 'kaon', 'and', 'one', 'negatively', 'charged', 'pion', 'in', 'the', 'final', 'state', 'invariantmass', 'and', 'missingmass', 'techniques', 'were', 'applied', 'to', 'separate', 'two', 'neighbouring', 'neutral', 'excited', 'hyperon', 'resonances', 'the', 'sigma01385', 'and', 'lambda1405', 'both', 'the', 'shape', 'and', 'the', 'position', 'of', 'the', 'lambda1405', 'distribution', 'are', 'similar', 'to', 'those', 'measured', 'in', 'other', 'reactions', 'and', 'this', 'information', 'contributes', 'to', 'the', 'ongoing', 'debate', 'regarding', 'the', 'structure', 'of', 'this', 'resonance']] | [-0.05326629405286401, 0.22344278921670419, -0.10344667228073763, 0.1501713610288905, 0.0041300293771510425, -0.12994793356158474, -0.007276736328655735, 0.36501203174950514, -0.18204587152069238, -0.26997453132842447, -0.09959337663059024, -0.3975036599316654, 0.061584718347071334, 0.0655791980531463, 0.09262511694922726, 0.10922886987038433, 0.06041848805158379, 0.06197073698499577, 0.0196656951125949, -0.16388671343373332, 0.34159490915307616, 0.10279708466631302, 0.23361704201298825, 0.1546047952303544, 0.029390096084829023, 0.029880263481011735, -0.04753433296734348, -0.11162732964123975, -0.1371062788121561, 0.06878165127412278, 0.27703247243102563, 0.07017344823652046, 0.12657863430510413, -0.321182291552256, -0.09152803109324675, 0.09601234839337462, 0.17888305739975197, 0.09224847488679942, -0.031386618324099703, -0.33289543475876465, 0.08094181792136837, -0.1292680214020483, -0.14479842830568235, -0.004910365509939321, 8.561162951778858e-05, -0.003957744469826526, -0.2551547473654438, 0.06357766669293112, -0.008176269334186106, 0.05669955721873037, -0.1123510956011237, -0.2728988571449163, -0.04284043537769863, 0.08604034608814548, 0.07316796829369157, 0.10563147331599117, 0.2283926992181768, -0.11283464080337038, -0.12813848057424926, 0.34964153745231474, -0.012741791587223874, -0.16674052937788533, 0.14441909858996563, -0.2767281735692411, -0.11034132962293447, 0.2206392581376465, 0.18896008800019193, 0.09675681981396803, -0.21318956293187977, 0.016326446023626016, -0.01853698722899277, 0.17737884470757018, 0.160684852132653, 0.017479124730403358, 0.16130076361166196, 0.14993317430081005, -0.05291923521918819, 0.09643941198691151, -0.16041562420395303, -0.07075137854801451, -0.2612659803175546, -0.10365786318706864, -0.05186534356920326, 0.04712564569026073, 0.024906938589218896, -0.043065533448169206, 0.4121229057893791, 0.01750315173325981, 0.27568667356737275, -0.11933079649238511, 0.3095400591499786, 0.044663845400444845, 0.054823008816728885, 0.03307330940275433, 0.30810537608959615, 0.22669187502469867, 0.20758885299747296, -0.31646228206041765, 0.03386577939059823, -0.0324243511112922] |
711.3085 | A rotating hollow cone anisotropy of TeV emission from binary systems | We show that TeV gamma-ray emission produced via interactions of high-energy
particles with anisotropic radiation field of a massive star in binary systems
should have a characteristic rotating hollow cone anisotropy pattern. The
hollow cone, whose axis is directed away from the massive star, rotates with
the period equal to the orbital period of the system. We note that the two
maxima pattern of the TeV energy band lightcurve of the gamma-ray loud binary
LS 5039 can be interpreted in terms of this rotating hollow cone model.
Adopting such an interpretation, we are able to constrain the geometry of the
system - either the inclination angle of the binary orbit, or the elevation of
the gamma-ray emission region above the orbital plane.
| astro-ph | we show that tev gammaray emission produced via interactions of highenergy particles with anisotropic radiation field of a massive star in binary systems should have a characteristic rotating hollow cone anisotropy pattern the hollow cone whose axis is directed away from the massive star rotates with the period equal to the orbital period of the system we note that the two maxima pattern of the tev energy band lightcurve of the gammaray loud binary ls 5039 can be interpreted in terms of this rotating hollow cone model adopting such an interpretation we are able to constrain the geometry of the system either the inclination angle of the binary orbit or the elevation of the gammaray emission region above the orbital plane | [['we', 'show', 'that', 'tev', 'gammaray', 'emission', 'produced', 'via', 'interactions', 'of', 'highenergy', 'particles', 'with', 'anisotropic', 'radiation', 'field', 'of', 'a', 'massive', 'star', 'in', 'binary', 'systems', 'should', 'have', 'a', 'characteristic', 'rotating', 'hollow', 'cone', 'anisotropy', 'pattern', 'the', 'hollow', 'cone', 'whose', 'axis', 'is', 'directed', 'away', 'from', 'the', 'massive', 'star', 'rotates', 'with', 'the', 'period', 'equal', 'to', 'the', 'orbital', 'period', 'of', 'the', 'system', 'we', 'note', 'that', 'the', 'two', 'maxima', 'pattern', 'of', 'the', 'tev', 'energy', 'band', 'lightcurve', 'of', 'the', 'gammaray', 'loud', 'binary', 'ls', '5039', 'can', 'be', 'interpreted', 'in', 'terms', 'of', 'this', 'rotating', 'hollow', 'cone', 'model', 'adopting', 'such', 'an', 'interpretation', 'we', 'are', 'able', 'to', 'constrain', 'the', 'geometry', 'of', 'the', 'system', 'either', 'the', 'inclination', 'angle', 'of', 'the', 'binary', 'orbit', 'or', 'the', 'elevation', 'of', 'the', 'gammaray', 'emission', 'region', 'above', 'the', 'orbital', 'plane']] | [-0.17401581146746628, 0.17061558983604758, -0.06154740294913015, 0.10297352928487384, -0.11485836653362129, -0.0966533383427665, -0.0017177873081335227, 0.42083348724837144, -0.2672182751034409, -0.29444335515934145, 0.05175460773627928, -0.2850984180238375, -0.042657825505083874, 0.18013252795496879, 0.013214773022952635, -0.03985101381058936, 0.09585871917391889, -0.0015391481170538535, -0.09660924884898603, -0.1776260693272776, 0.31660924826109826, 0.11029445941844755, 0.14431063692308654, -0.011677611969442161, 0.05869741711288321, 0.027091968737250147, 0.05039961501707762, -0.010975000221466968, -0.08703639083371155, 0.07480013299702613, 0.18182772265608646, 0.10826896276509712, 0.09834266735687236, -0.362257825695594, -0.1917568716135892, 0.08342611013088098, 0.15759865494641237, 0.04020189381135274, -0.033315523167733445, -0.27261097772212406, 0.05591802959679626, -0.21740672733703983, -0.2431520369319507, 0.09925655796662096, 0.03380491780906084, 0.0498451219240496, -0.2104560357079772, 0.07032782214208821, 0.09919534366980026, 0.060101289202051225, -0.11524395219796946, -0.0830947812511932, -0.08216391019292238, -0.0017040752486348891, 0.10988534737016606, 0.09888033275607942, 0.1506145446607458, -0.08030634646473284, -0.11026456726576425, 0.40534743401876167, -0.04913947433098566, -0.1000329175625335, 0.18961209991623548, -0.24006926030890385, -0.0900666884008087, 0.22827981373156644, 0.2199956183013899, 0.12379821525763504, -0.1285163182149495, 0.02527372108787791, -0.04968305166487482, 0.21358652957830548, 0.0831644740840805, 0.03031169895221256, 0.3960191658274694, 0.12577980375764045, 0.02100844768430145, 0.15377320386834967, -0.2544531623471128, -0.05076123584708399, -0.256946433443299, -0.0868248117910621, -0.1649546488274797, 0.07539185715650693, -0.11313887774051468, -0.13345869393493212, 0.4049676204608245, 0.05044354759695486, 0.188988662763568, -0.015051642634851996, 0.26306865593680173, 0.09600796932277601, 0.04113331656977111, 0.1188373314986421, 0.35819323089989746, 0.13311544046083018, 0.10304689128432916, -0.24763514633552164, 0.034060979196570876, 0.02866558716747879] |
711.3086 | Pseudoscalar and Scalar Operators of Higgs-Penguins in the MSSM and B to
phi K^*, K eta(') Decays | We study the effect of b to s sbar s scalar/pseudoscalar operators in B to K
eta('), phi K^* decays. In the minimal supersymmetric standard model (MSSM),
such scalar/pseudoscalar operators can be induced by the penguin diagrams of
neutral Higgs bosons. These operators can be Fierz-transformed into tensor
operators, and the resultant tensor operators could affect the transverse
polarization amplitudes in B to phi K^* decays. A combined analysis of the
decays B to phi K^* and B to K eta('), including b to s sbar s
scalar/pseudoscalar operators and their Fierz-transformed tensor operators
originated from the MSSM, is performed. Our study is based on the followings:
(1) Assuming that weak annihilations in B to phi K^* is negligible and the
polarization puzzle is resolved by Fierz-transformed tensor operators, it
results in too large coefficients of scalar/pseudoscalar operators, such that
the resulting B to K eta(') branching fractions are much larger than
observations. (2) When we take the weak annihilations in B to phi K^* into
account, the polarization puzzle can be resolved. In this case, new physics
effects are strongly suppressed and no more relevant to the enhancement of the
transverse modes in B to phi K^* decays.
| hep-ph | we study the effect of b to s sbar s scalarpseudoscalar operators in b to k eta phi k decays in the minimal supersymmetric standard model mssm such scalarpseudoscalar operators can be induced by the penguin diagrams of neutral higgs bosons these operators can be fierztransformed into tensor operators and the resultant tensor operators could affect the transverse polarization amplitudes in b to phi k decays a combined analysis of the decays b to phi k and b to k eta including b to s sbar s scalarpseudoscalar operators and their fierztransformed tensor operators originated from the mssm is performed our study is based on the followings 1 assuming that weak annihilations in b to phi k is negligible and the polarization puzzle is resolved by fierztransformed tensor operators it results in too large coefficients of scalarpseudoscalar operators such that the resulting b to k eta branching fractions are much larger than observations 2 when we take the weak annihilations in b to phi k into account the polarization puzzle can be resolved in this case new physics effects are strongly suppressed and no more relevant to the enhancement of the transverse modes in b to phi k decays | [['we', 'study', 'the', 'effect', 'of', 'b', 'to', 's', 'sbar', 's', 'scalarpseudoscalar', 'operators', 'in', 'b', 'to', 'k', 'eta', 'phi', 'k', 'decays', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'such', 'scalarpseudoscalar', 'operators', 'can', 'be', 'induced', 'by', 'the', 'penguin', 'diagrams', 'of', 'neutral', 'higgs', 'bosons', 'these', 'operators', 'can', 'be', 'fierztransformed', 'into', 'tensor', 'operators', 'and', 'the', 'resultant', 'tensor', 'operators', 'could', 'affect', 'the', 'transverse', 'polarization', 'amplitudes', 'in', 'b', 'to', 'phi', 'k', 'decays', 'a', 'combined', 'analysis', 'of', 'the', 'decays', 'b', 'to', 'phi', 'k', 'and', 'b', 'to', 'k', 'eta', 'including', 'b', 'to', 's', 'sbar', 's', 'scalarpseudoscalar', 'operators', 'and', 'their', 'fierztransformed', 'tensor', 'operators', 'originated', 'from', 'the', 'mssm', 'is', 'performed', 'our', 'study', 'is', 'based', 'on', 'the', 'followings', '1', 'assuming', 'that', 'weak', 'annihilations', 'in', 'b', 'to', 'phi', 'k', 'is', 'negligible', 'and', 'the', 'polarization', 'puzzle', 'is', 'resolved', 'by', 'fierztransformed', 'tensor', 'operators', 'it', 'results', 'in', 'too', 'large', 'coefficients', 'of', 'scalarpseudoscalar', 'operators', 'such', 'that', 'the', 'resulting', 'b', 'to', 'k', 'eta', 'branching', 'fractions', 'are', 'much', 'larger', 'than', 'observations', '2', 'when', 'we', 'take', 'the', 'weak', 'annihilations', 'in', 'b', 'to', 'phi', 'k', 'into', 'account', 'the', 'polarization', 'puzzle', 'can', 'be', 'resolved', 'in', 'this', 'case', 'new', 'physics', 'effects', 'are', 'strongly', 'suppressed', 'and', 'no', 'more', 'relevant', 'to', 'the', 'enhancement', 'of', 'the', 'transverse', 'modes', 'in', 'b', 'to', 'phi', 'k', 'decays']] | [-0.14590067304898963, 0.264640565846939, -0.04228533529699897, 0.07780726618734866, -0.07422237289278538, -0.16902069044744025, 0.04644234936412929, 0.31001462342379027, -0.2745154103072332, -0.22126422010025187, -0.02474842317070082, -0.325849217759333, -0.030791249939348155, 0.11792824449527765, 0.06424610066840697, 0.004211508680659173, 0.05034725043639522, 0.035278573618200255, -0.06896243782377048, -0.20400751461848224, 0.27443754009963317, -0.011919259916214113, 0.1258937545101996, 0.10623531884059834, -0.05540403156733168, 0.0002648133793892573, -0.05118309773139693, 0.007335196895028778, -0.12097814315720871, 0.06124437363565567, 0.19925996921511938, 0.12546342603122843, 0.12924340969868867, -0.3560500712386665, -0.10852186480097135, 0.19948416609953545, 0.1503030825733914, 0.017500162227594075, 0.05393439454128018, -0.3297423012238745, 0.16071851957757868, -0.13492630446919396, -0.0552660159382913, -0.11459777485251652, 0.08599339718532623, -0.10322287691237601, -0.37891639426032353, 0.07433287158430596, 0.03995332561770276, 0.02685236794834292, -0.0014634926302648668, -0.23734498584535366, -0.06850279430184869, 0.021286360289575063, 0.10594269969727582, 0.11201368271836534, 0.1583636496280409, -0.14999766081534138, -0.10376677082748569, 0.38012658223280466, -0.1688723487317493, -0.19659633706932203, 0.13481071391891708, -0.2356961787931022, -0.10718494058170136, 0.1385289438199907, 0.2111990897069175, 0.1314061565334024, -0.1301084618876371, 0.19656505212439318, -0.035712411456352955, 0.1308225520966041, 0.03582840660076832, 0.0541887164213016, 0.17190794032722262, 0.06602690700001677, 0.01950022473699652, 0.09733605795205294, -0.03804334600095698, -0.01775206823894127, -0.366683501836226, -0.134749430596791, -0.06652216454172254, 0.0961109842109405, -0.04834840468494584, -0.06959939069914908, 0.3421411898183688, 0.07210288195749136, 0.2730060420927753, -0.048074414410707936, 0.27341454420893935, 0.1098977926464508, 0.13644995570859061, 0.05462297711979297, 0.24925422000385183, 0.2112930772624835, 0.11426616637691406, -0.27443536915278166, -0.0038533554466244715, 0.0669433787984577] |
711.3087 | Quantum Fluctuations and Rate of Convergence towards Mean Field Dynamics | The nonlinear Hartree equation describes the macroscopic dynamics of
initially factorized N-boson states, in the limit of large N. In this paper we
provide estimates on the rate of convergence of the microscopic quantum
mechanical evolution towards the limiting Hartree dynamics. More precisely, we
prove bounds on the difference between the one-particle density associated with
the solution of the N-body Schroedinger equation and the orthogonal projection
onto the solution of the Hartree equation.
| math-ph math.AP math.MP | the nonlinear hartree equation describes the macroscopic dynamics of initially factorized nboson states in the limit of large n in this paper we provide estimates on the rate of convergence of the microscopic quantum mechanical evolution towards the limiting hartree dynamics more precisely we prove bounds on the difference between the oneparticle density associated with the solution of the nbody schroedinger equation and the orthogonal projection onto the solution of the hartree equation | [['the', 'nonlinear', 'hartree', 'equation', 'describes', 'the', 'macroscopic', 'dynamics', 'of', 'initially', 'factorized', 'nboson', 'states', 'in', 'the', 'limit', 'of', 'large', 'n', 'in', 'this', 'paper', 'we', 'provide', 'estimates', 'on', 'the', 'rate', 'of', 'convergence', 'of', 'the', 'microscopic', 'quantum', 'mechanical', 'evolution', 'towards', 'the', 'limiting', 'hartree', 'dynamics', 'more', 'precisely', 'we', 'prove', 'bounds', 'on', 'the', 'difference', 'between', 'the', 'oneparticle', 'density', 'associated', 'with', 'the', 'solution', 'of', 'the', 'nbody', 'schroedinger', 'equation', 'and', 'the', 'orthogonal', 'projection', 'onto', 'the', 'solution', 'of', 'the', 'hartree', 'equation']] | [-0.13721375975419756, 0.10653789781595338, -0.12487484476439757, 0.06207685753837075, 0.023220016684842436, -0.0581878388223991, -0.0036160131447553023, 0.26701806597921945, -0.26228489893909596, -0.22056017619595952, 0.03343239012939779, -0.302433362358237, -0.11320770403357504, 0.13268895166581623, 0.04372026396951497, 0.1019169166173837, 0.07864678941973269, 0.027249399093793043, -0.11028053547089843, -0.20896769073881108, 0.36020204873934186, -0.0016209368533391046, 0.2505077176204283, 0.0014015224998281017, 0.14861617589445963, 0.028134065724858274, 0.03210649534115848, -0.05405532751449269, -0.18997168542868267, 0.1211136867673366, 0.19897351294041496, 0.05695231446967626, 0.30719226721852816, -0.49325698244143024, -0.15537304786824915, 0.06131460652878023, 0.18143247636928134, 0.17981869022183325, -0.016323104689945467, -0.31820609782860704, -0.01601498290794353, -0.1430947823475485, -0.22972593293206334, -0.06627258822985299, 0.004926983190521802, 0.07179089434036653, -0.20345808075715419, 0.16945446337483924, 0.047109632842140654, -0.04461123849175973, -0.14178507679384456, -0.0729173982120438, -0.01011486034138664, 0.07253058997225272, -0.01142846806969953, -0.012144510921294966, 0.08492012364049889, -0.16454949806291252, -0.03734026469086131, 0.3782920045235947, -0.11692995237416193, -0.27601078216445774, 0.1353732027330321, -0.1941490686205152, -0.09637758593164282, 0.1061779133312098, 0.16594354429422584, 0.12230385345572682, -0.15324794354669954, 0.152623757004757, -0.03544854971242124, 0.1460742111993979, 0.04005210282765839, 0.04325495104063047, 0.10176619780186104, 0.18107685427602432, 0.1134551055091497, 0.1257064888957084, -0.044745235762093216, -0.1917192268389443, -0.336708622021371, -0.15816737280214485, -0.22816487468064647, 0.14789360435041662, -0.1339306674117449, -0.1849258471111295, 0.40198656059291266, 0.1392135497067787, 0.15576457976019137, 0.0802537789568305, 0.25437692552804947, 0.2401493560675889, -0.04695628195592802, 0.08947449820498897, 0.23759629911653798, 0.2020645701224367, 0.06922914555347333, -0.34758102019917064, 0.007632971843321846, 0.1403321156003959] |
711.3088 | Quantifying the transmission potential of pandemic influenza | This article reviews quantitative methods to estimate the basic reproduction
number of pandemic influenza, a key threshold quantity to help determine the
intensity of interventions required to control the disease. Although it is
difficult to assess the transmission potential of a probable future pandemic,
historical epidemiologic data is readily available from previous pandemics, and
as a reference quantity for future pandemic planning, mathematical and
statistical analyses of historical data are crucial. In particular, because
many historical records tend to document only the temporal distribution of
cases or deaths (i.e. epidemic curve), our review focuses on methods to
maximize the utility of time-evolution data and to clarify the detailed
mechanisms of the spread of influenza. First, we highlight structured epidemic
models and their parameter estimation method which can quantify the detailed
disease dynamics including those we cannot observe directly.
Duration-structured epidemic systems are subsequently presented, offering firm
understanding of the definition of the basic and effective reproduction
numbers. When the initial growth phase of an epidemic is investigated, the
distribution of the generation time is key statistical information to
appropriately estimate the transmission potential using the intrinsic growth
rate. Applications of stochastic processes are also highlighted to estimate the
transmission potential using the similar data. Critically important
characteristics of influenza data are subsequently summarized, followed by our
conclusions to suggest potential future methodological improvements.
| q-bio.PE | this article reviews quantitative methods to estimate the basic reproduction number of pandemic influenza a key threshold quantity to help determine the intensity of interventions required to control the disease although it is difficult to assess the transmission potential of a probable future pandemic historical epidemiologic data is readily available from previous pandemics and as a reference quantity for future pandemic planning mathematical and statistical analyses of historical data are crucial in particular because many historical records tend to document only the temporal distribution of cases or deaths ie epidemic curve our review focuses on methods to maximize the utility of timeevolution data and to clarify the detailed mechanisms of the spread of influenza first we highlight structured epidemic models and their parameter estimation method which can quantify the detailed disease dynamics including those we cannot observe directly durationstructured epidemic systems are subsequently presented offering firm understanding of the definition of the basic and effective reproduction numbers when the initial growth phase of an epidemic is investigated the distribution of the generation time is key statistical information to appropriately estimate the transmission potential using the intrinsic growth rate applications of stochastic processes are also highlighted to estimate the transmission potential using the similar data critically important characteristics of influenza data are subsequently summarized followed by our conclusions to suggest potential future methodological improvements | [['this', 'article', 'reviews', 'quantitative', 'methods', 'to', 'estimate', 'the', 'basic', 'reproduction', 'number', 'of', 'pandemic', 'influenza', 'a', 'key', 'threshold', 'quantity', 'to', 'help', 'determine', 'the', 'intensity', 'of', 'interventions', 'required', 'to', 'control', 'the', 'disease', 'although', 'it', 'is', 'difficult', 'to', 'assess', 'the', 'transmission', 'potential', 'of', 'a', 'probable', 'future', 'pandemic', 'historical', 'epidemiologic', 'data', 'is', 'readily', 'available', 'from', 'previous', 'pandemics', 'and', 'as', 'a', 'reference', 'quantity', 'for', 'future', 'pandemic', 'planning', 'mathematical', 'and', 'statistical', 'analyses', 'of', 'historical', 'data', 'are', 'crucial', 'in', 'particular', 'because', 'many', 'historical', 'records', 'tend', 'to', 'document', 'only', 'the', 'temporal', 'distribution', 'of', 'cases', 'or', 'deaths', 'ie', 'epidemic', 'curve', 'our', 'review', 'focuses', 'on', 'methods', 'to', 'maximize', 'the', 'utility', 'of', 'timeevolution', 'data', 'and', 'to', 'clarify', 'the', 'detailed', 'mechanisms', 'of', 'the', 'spread', 'of', 'influenza', 'first', 'we', 'highlight', 'structured', 'epidemic', 'models', 'and', 'their', 'parameter', 'estimation', 'method', 'which', 'can', 'quantify', 'the', 'detailed', 'disease', 'dynamics', 'including', 'those', 'we', 'can', 'not', 'observe', 'directly', 'durationstructured', 'epidemic', 'systems', 'are', 'subsequently', 'presented', 'offering', 'firm', 'understanding', 'of', 'the', 'definition', 'of', 'the', 'basic', 'and', 'effective', 'reproduction', 'numbers', 'when', 'the', 'initial', 'growth', 'phase', 'of', 'an', 'epidemic', 'is', 'investigated', 'the', 'distribution', 'of', 'the', 'generation', 'time', 'is', 'key', 'statistical', 'information', 'to', 'appropriately', 'estimate', 'the', 'transmission', 'potential', 'using', 'the', 'intrinsic', 'growth', 'rate', 'applications', 'of', 'stochastic', 'processes', 'are', 'also', 'highlighted', 'to', 'estimate', 'the', 'transmission', 'potential', 'using', 'the', 'similar', 'data', 'critically', 'important', 'characteristics', 'of', 'influenza', 'data', 'are', 'subsequently', 'summarized', 'followed', 'by', 'our', 'conclusions', 'to', 'suggest', 'potential', 'future', 'methodological', 'improvements']] | [-0.07748291908445948, 0.04927937358242174, -0.08326794387409338, 0.1353099268700326, -0.08850682087476477, -0.12449148891393447, 0.0937669537074012, 0.363423299061076, -0.2518636384757545, -0.30139031920857695, 0.15723778931486668, -0.3046892622523344, -0.18229331966826792, 0.20110057398255063, -0.10995382739120317, 0.07561073872373511, 0.09691028665300175, 0.03689519803753883, 0.029939569940585893, -0.28622569866330183, 0.29740150398658294, 0.11690639713862619, 0.3244148798604316, 0.07217703549600636, 0.039484220872750095, 0.012852397168915501, -0.11742200637069185, -0.03919949272126013, -0.1734437164575156, 0.1307543314588277, 0.2917977810485505, 0.22419134033384477, 0.31389532930263625, -0.42553853865027963, -0.26501536845425855, 0.10610201305839245, 0.15224808339860119, 0.1525952279885642, -0.00474739757798729, -0.266909256205798, 0.024795372154972947, -0.1508517801247938, -0.14770841886260183, -0.0687120837333882, 0.033362764873512654, 0.06335078561605442, -0.26523607139890143, 0.08782398448071982, -0.02513188585814406, 0.09690690259793731, -0.04520184161859844, -0.129598920749325, -0.06026150626777734, 0.189463604352935, 0.09717989071468601, -0.014132489033164499, 0.1563301230339655, -0.13110529523992268, -0.10518168934178225, 0.36158507096585335, -0.012719819855755153, -0.13457748839514738, 0.14750840601974874, -0.1524661736825957, -0.1157535972134231, 0.10276816687139478, 0.23171430411738148, 0.04467483241562084, -0.22260476499222973, -0.053146891284685985, 0.04943730006247107, 0.1492034832408209, 0.0005673961338040005, 0.003553700760725234, 0.19570873203507788, 0.22470500435358573, 0.025566230199431307, 0.06465187124415163, -0.09739150936535722, -0.13048825889926052, -0.2744108579443108, -0.12297842181976801, -0.13245061554449022, 0.03791770423328423, -0.09138169664138616, -0.14900186305944996, 0.42778358371164066, 0.23635263945030324, 0.1630251038665027, 0.02658336674074137, 0.29064239837195843, 0.06752459701587082, 0.014461485415304523, 0.009131420957083258, 0.19133834024988358, 0.08580469527394582, 0.12623146913670036, -0.21089415227255112, 0.18265804688400805, -0.02961946176281491] |
711.3089 | Discrete quantum model of the harmonic oscillator | We construct a new model of the quantum oscillator, whose energy spectrum is
equally-spaced and lower-bounded, whereas the spectra of position and momentum
are a denumerable non-degenerate set of points in [-1,1] that depends on the
deformation parameter q from (0,1). We provide its explicit wavefunctions, both
in position and momentum representations, in terms of the discrete q-Hermite
polynomials. We build a Hilbert space with a unique measure, where an analogue
of the fractional Fourier transform is defined in order to govern the time
evolution of this discrete oscillator. In the limit q to 1, one recovers the
ordinary quantum harmonic oscillator.
| math-ph math.CA math.MP | we construct a new model of the quantum oscillator whose energy spectrum is equallyspaced and lowerbounded whereas the spectra of position and momentum are a denumerable nondegenerate set of points in 11 that depends on the deformation parameter q from 01 we provide its explicit wavefunctions both in position and momentum representations in terms of the discrete qhermite polynomials we build a hilbert space with a unique measure where an analogue of the fractional fourier transform is defined in order to govern the time evolution of this discrete oscillator in the limit q to 1 one recovers the ordinary quantum harmonic oscillator | [['we', 'construct', 'a', 'new', 'model', 'of', 'the', 'quantum', 'oscillator', 'whose', 'energy', 'spectrum', 'is', 'equallyspaced', 'and', 'lowerbounded', 'whereas', 'the', 'spectra', 'of', 'position', 'and', 'momentum', 'are', 'a', 'denumerable', 'nondegenerate', 'set', 'of', 'points', 'in', '11', 'that', 'depends', 'on', 'the', 'deformation', 'parameter', 'q', 'from', '01', 'we', 'provide', 'its', 'explicit', 'wavefunctions', 'both', 'in', 'position', 'and', 'momentum', 'representations', 'in', 'terms', 'of', 'the', 'discrete', 'qhermite', 'polynomials', 'we', 'build', 'a', 'hilbert', 'space', 'with', 'a', 'unique', 'measure', 'where', 'an', 'analogue', 'of', 'the', 'fractional', 'fourier', 'transform', 'is', 'defined', 'in', 'order', 'to', 'govern', 'the', 'time', 'evolution', 'of', 'this', 'discrete', 'oscillator', 'in', 'the', 'limit', 'q', 'to', '1', 'one', 'recovers', 'the', 'ordinary', 'quantum', 'harmonic', 'oscillator']] | [-0.140419423123639, 0.137843117539174, -0.10542995012913119, 0.026074108522723193, -0.05279735011486884, -0.10202321799599803, 0.01573847733123009, 0.3384608593221535, -0.28619153381270523, -0.23712158559218927, 0.07151933051428903, -0.2707207193917723, -0.11946199465469987, 0.18859135677955827, -0.04766644967044247, 0.05460946417046145, -0.009467129175569498, 0.09609557148188982, -0.09197667648321857, -0.18785348099966845, 0.3397581342918177, 0.013887866441270007, 0.2118109022837826, -0.040356698261080855, 0.15667468604777812, 0.0013763804756808003, -0.0014150809706645268, -0.06596213685578037, -0.13317087149584503, 0.12798903039747886, 0.20982807167285286, 0.05036822467923676, 0.2394110301815375, -0.3491655904343169, -0.14539543558459947, 0.1603947623778938, 0.12937195601361787, 0.06321670206186052, 0.016907201973748776, -0.24931440841607458, 0.015587501812214945, -0.15336298995066946, -0.16219396655922572, -0.08731246378281902, 0.04799021654374277, 0.06009285921212651, -0.26584048423112605, 0.07772605554383322, 0.0768943071444108, 0.04504443955945545, -0.09226387539335217, -0.08362838019178633, -0.05065314526277065, 0.10837404780528125, -0.045824640669047324, 0.03927427659030346, 0.06334322318891246, -0.0991758546020434, -0.11207785149670992, 0.40211002751454417, -0.0788548961880973, -0.2654247149167692, 0.11424965059439487, -0.21536998114749498, -0.10769194387374263, 0.12982989938053138, 0.14998425193691362, 0.11245988303905025, -0.06507186056571264, 0.16803664496161647, -0.030042991745194383, 0.16638157958982, 0.08136033356719304, 0.0772405544012858, 0.14837340243598995, 0.099347969765921, 0.06448380752722276, 0.14541883437949069, -0.08018391936853089, -0.13326457637709146, -0.35385968156305014, -0.18973123247726073, -0.24789162657415384, 0.09290857497812706, -0.09550898270547395, -0.18775834542626113, 0.44381271528682725, 0.07955092377960682, 0.2550077332530682, 0.04389340784765926, 0.22425479542317928, 0.22685986887746348, 0.013888098921526369, 0.05473989051511036, 0.18961918816956527, 0.15547211867455832, 0.06687508326699483, -0.2056285581875629, -0.05779085085982932, 0.11810714533945144] |
711.309 | Spatial signal amplification in cell biology: a lattice-gas model for
self-tuned phase ordering | Experiments show that the movement of eukaryotic cells is regulated by a
process of phase separation of two competing enzymes on the cell membrane, that
effectively amplifies shallow external gradients of chemical attractant.
Notably, the cell is able to self-tune the final enzyme concentrations to an
equilibrium state of phase coexistence, for a wide range of the average
attractant concentration. We propose a simple lattice model in which, together
with a short-range attraction between enzymes, a long-range repulsion naturally
arises from physical considerations, that easily explains such observed
behavior.
| cond-mat.stat-mech q-bio.CB | experiments show that the movement of eukaryotic cells is regulated by a process of phase separation of two competing enzymes on the cell membrane that effectively amplifies shallow external gradients of chemical attractant notably the cell is able to selftune the final enzyme concentrations to an equilibrium state of phase coexistence for a wide range of the average attractant concentration we propose a simple lattice model in which together with a shortrange attraction between enzymes a longrange repulsion naturally arises from physical considerations that easily explains such observed behavior | [['experiments', 'show', 'that', 'the', 'movement', 'of', 'eukaryotic', 'cells', 'is', 'regulated', 'by', 'a', 'process', 'of', 'phase', 'separation', 'of', 'two', 'competing', 'enzymes', 'on', 'the', 'cell', 'membrane', 'that', 'effectively', 'amplifies', 'shallow', 'external', 'gradients', 'of', 'chemical', 'attractant', 'notably', 'the', 'cell', 'is', 'able', 'to', 'selftune', 'the', 'final', 'enzyme', 'concentrations', 'to', 'an', 'equilibrium', 'state', 'of', 'phase', 'coexistence', 'for', 'a', 'wide', 'range', 'of', 'the', 'average', 'attractant', 'concentration', 'we', 'propose', 'a', 'simple', 'lattice', 'model', 'in', 'which', 'together', 'with', 'a', 'shortrange', 'attraction', 'between', 'enzymes', 'a', 'longrange', 'repulsion', 'naturally', 'arises', 'from', 'physical', 'considerations', 'that', 'easily', 'explains', 'such', 'observed', 'behavior']] | [-0.13567239155971936, 0.21471210936064114, -0.046475107525213714, 0.04158299665952777, 0.001196678445329157, -0.1364571034981545, 0.10845371105530288, 0.36774625868034244, -0.3008688126973222, -0.2592719495819693, -0.014796844611645498, -0.24219780493778795, -0.208488505752234, 0.1135976960793598, -0.04985187908508972, -0.055833522125743745, 0.02288897636770323, 0.002173385802614555, 0.03280970839040584, -0.1556274164154121, 0.2543041392470176, 0.021614330627149746, 0.3048015128653706, 0.08476303035414286, 0.1417344327639328, -0.04335870224919714, 0.09571593263699266, 0.040055424853991925, -0.10773252406845253, 0.10314272029137009, 0.22401090503115667, 0.05374688236042857, 0.2460298514035478, -0.4742968239392457, -0.30814809929788783, 0.09525739337746682, 0.16676946536355305, 0.14808805645155732, -0.0793887269290771, -0.2362773133588306, 0.04415760627487319, -0.15811816649511456, -0.12936118286458798, -0.06564502018828237, 0.012444306921025508, 0.10349529652772577, -0.3022176462403509, 0.14383588127237273, 0.060010870696265206, 0.053401691493777076, -0.1233120101054063, -0.0967510910076874, -0.0738622188735544, 0.1533374256621837, 0.04021540027617979, 0.017148245925219793, 0.2593661216139961, -0.12712466251628285, -0.058544305917084885, 0.35528628564219966, -0.03625201182492245, -0.17590291774831712, 0.25495767092143884, -0.11804687426415052, -0.08315065204887913, 0.1757242492755896, 0.14391943542391397, 0.05062509620080838, -0.19194485744189346, 0.011524676266806514, 0.01741752764105462, 0.22504508223259048, 0.06528973037094464, -0.030209582694021336, 0.20344457490725465, 0.1969852563244908, 0.07893023655613822, 0.14714181272501356, -0.07990226255788002, -0.1683394874686773, -0.24165975928222866, -0.1244530663982536, -0.14795705760839614, 0.026895509815638822, -0.11147805486983631, -0.18384273624403424, 0.36781718724752577, 0.11191517490830817, 0.23465766991080528, 0.027357444406507975, 0.23501263957031154, 0.014055697822922401, 0.09035380022977008, -0.047451137156968706, 0.20575699384920718, 0.08625744585879147, 0.116807206104813, -0.30520964804984463, 0.1248410317335236, 0.026078302328856766] |
711.3091 | The Hadron Spectrum from Lattice QCD | Determining the hadron spectrum and hadron properties beyond the ground
states is a challenge in lattice QCD. Most of these results have been in the
quenched approximation but now we are entering the dynamical era. I review some
of the ideas and methods of the lattice approach, concentrating on a few
examples and on results obtained for Chirally Improved (CI) fermions.
| nucl-th hep-lat | determining the hadron spectrum and hadron properties beyond the ground states is a challenge in lattice qcd most of these results have been in the quenched approximation but now we are entering the dynamical era i review some of the ideas and methods of the lattice approach concentrating on a few examples and on results obtained for chirally improved ci fermions | [['determining', 'the', 'hadron', 'spectrum', 'and', 'hadron', 'properties', 'beyond', 'the', 'ground', 'states', 'is', 'a', 'challenge', 'in', 'lattice', 'qcd', 'most', 'of', 'these', 'results', 'have', 'been', 'in', 'the', 'quenched', 'approximation', 'but', 'now', 'we', 'are', 'entering', 'the', 'dynamical', 'era', 'i', 'review', 'some', 'of', 'the', 'ideas', 'and', 'methods', 'of', 'the', 'lattice', 'approach', 'concentrating', 'on', 'a', 'few', 'examples', 'and', 'on', 'results', 'obtained', 'for', 'chirally', 'improved', 'ci', 'fermions']] | [-0.07623859660959513, 0.17772099090984367, -0.10848499726901045, 0.062313014353228516, -0.014962281085184364, -0.08743424661129286, 0.06483561620421585, 0.38162434739289713, -0.1585657898523677, -0.24364845033307544, 0.15541780590782034, -0.3322692602017864, -0.10452071912434013, 0.18974228450631508, 0.04795706553048775, 0.10478913592609776, 0.08403107628352, -6.916795353420445e-06, -0.09655333837097296, -0.28182508097198167, 0.3336739171845991, 0.009337235654353118, 0.22321376631982992, 0.15278791099573014, 0.03371138188255127, -0.03062946714277639, -0.048095355909623085, 0.004965491173025526, -0.14730907964413284, 0.13985367815036967, 0.1904037104247779, 0.08192107450507093, 0.22898996487015583, -0.4109732936457044, -0.20098654392984558, 0.035965272294143674, 0.13811988352233026, 0.18316089493207266, -0.06642468719834797, -0.28849033321269224, 0.08306583832399766, -0.19840326508293388, -0.14972694059375857, -0.12161785985541637, -0.0490882007069275, -0.01832851509517822, -0.227336079080696, 0.01228662552770044, 0.021167557203252876, 0.07536766557480956, -0.0326336407117912, -0.21115362888476888, 0.032854988972549556, 0.11117492861984694, 0.06396631061454441, 0.029723942859983834, 0.10760707857820098, -0.2310205224412875, -0.13556267699364144, 0.4509734610614718, -0.040127892327708664, -0.1326833071461955, 0.20893786897974426, -0.17084116450526188, -0.2183562694804468, 0.10350622431390354, 0.15517318310582492, 0.08142206645341682, -0.1470045608269875, 0.13075432685665694, -0.03793756009583346, 0.11978365792358509, 0.01162286873021331, 0.07959363116409446, 0.2143077250631129, 0.1826075829382314, -0.0014452229017300196, 0.06504271105389858, -0.04902193767064419, -0.15485896727406098, -0.29554549847408884, -0.08092233430227784, -0.2174904890984419, 0.03271500766659003, -0.03591440956906958, -0.14266948658423345, 0.4256823831161515, 0.15007862877138875, 0.20022762220230747, -0.006644247435644025, 0.2509230140169136, 0.08334986925064052, 0.03023423002574776, 0.05642915309261775, 0.28036471058425616, 0.13308931547446085, 0.1155143236726156, -0.19955157584006913, -0.020503718612074364, 0.11393917096992497] |
711.3092 | Frisch, Muller and Belot on an Inconsistency in Classical
Electrodynamics | This paper follows up a recent debate as to whether classical electrodynamics
is inconsistent. I suggest that disagreements can be managed by disambiguating
'theory' in two different ways.
| physics.hist-ph | this paper follows up a recent debate as to whether classical electrodynamics is inconsistent i suggest that disagreements can be managed by disambiguating theory in two different ways | [['this', 'paper', 'follows', 'up', 'a', 'recent', 'debate', 'as', 'to', 'whether', 'classical', 'electrodynamics', 'is', 'inconsistent', 'i', 'suggest', 'that', 'disagreements', 'can', 'be', 'managed', 'by', 'disambiguating', 'theory', 'in', 'two', 'different', 'ways']] | [-0.05524418188724667, 0.15136216506029346, -0.13597452437638172, 0.10740473760025841, -0.1233203429063516, -0.1646311195800081, 0.04023748055832194, 0.3732005801450993, -0.31259270631042974, -0.35269878365631613, 0.04550998521569584, -0.28138832388711826, -0.20538812862443073, 0.15503449691459537, -0.1680139869651092, -0.0009823873822045112, 0.012766660058072634, -0.033646368488137214, -0.05149142220450033, -0.2687741434201598, 0.3496155644534156, 0.005401201113792402, 0.259439102041402, 0.054318727127143314, 0.006057708241444614, -0.11625405244662293, -0.04319629465628948, 0.1071536298841238, -0.05933401372047748, 0.12338053549839449, 0.3180713888723403, 0.16512184146059944, 0.3177193423200931, -0.48602655802720357, -0.25442535643066677, 0.02170824379261051, 0.2004343005495944, 0.0979703275619873, -0.06422174073356603, -0.23298173710437758, 0.07445828998087174, -0.2059367565670982, -0.12875366402191243, -0.04931292297052486, 0.048775221520502655, -0.02484425769320556, -0.20257649018562265, 0.08766990836842783, 0.08176587932809655, 0.02255660022741982, 0.007061342268051314, -0.07573667817216899, 0.10840200840695095, 0.11214889018862907, 0.09935127713418167, 0.10181133116462401, 0.07210103392467967, -0.10191255101900813, -0.2192242565298719, 0.38710317813924383, -0.056128939603305686, -0.13664486003108323, 0.2061898424622736, -0.07672904070932418, -0.17678947046182916, -0.003751350404594892, 0.083819149926837, 0.06679255144471037, -0.2365162851555007, 0.046383339346253445, -0.11634330069812547, 0.1759044044384999, 0.07643737580760249, -0.037357238437315185, 0.29316959367133677, 0.0918612842714148, -0.007706054053934557, 0.0811855142861272, 0.04716524268899645, -0.12927033955098263, -0.3080074835036482, -0.1037255173349487, -0.13068612990900874, 0.10272624975602541, 0.00793532288766333, -0.04149911901913583, 0.3361694963449346, 0.24571417746691232, 0.1956983639725617, -0.007616829659257617, 0.2781589689132358, 0.08722991928308536, 0.021145308390259743, 0.047808175889908204, 0.2782994800114206, 0.07714390903545011, 0.06373926065862179, -0.1640894812964169, 0.08623700263394442, -0.014876573579385877] |
711.3093 | Comment on `On the Luttinger theorem concerning the number of particles
in the ground states of systems of interacting fermions', arXiv:0711.0952v1,
by B. Farid | In his preprint, arXiv:0711.0952v1, Behnam Farid argues that the Luttinger
theorem is valid not only for a metal but also for a Mott insulator if the
chemical potential is calculated by taking the limit of vanishing temperature
at fixed particle density. In contrast, we have found in our recent paper (Eur.
Phys. J. B 59, 495 (2007) or arXiv:cond-mat/0602656) on the basis of a
controlled strong coupling expansion that the Luttinger theorem is violated in
this limit for a particle-hole asymmetric two-band Mott insulator. In an
extensive discussion of our result Farid argues that an arbitrarily weak
breaking of particle-hole symmetry leads to a destruction of the Mott
insulating state at half filling. In this comment we point out that this is not
correct.
| cond-mat.str-el | in his preprint arxiv07110952v1 behnam farid argues that the luttinger theorem is valid not only for a metal but also for a mott insulator if the chemical potential is calculated by taking the limit of vanishing temperature at fixed particle density in contrast we have found in our recent paper eur phys j b 59 495 2007 or arxivcondmat0602656 on the basis of a controlled strong coupling expansion that the luttinger theorem is violated in this limit for a particlehole asymmetric twoband mott insulator in an extensive discussion of our result farid argues that an arbitrarily weak breaking of particlehole symmetry leads to a destruction of the mott insulating state at half filling in this comment we point out that this is not correct | [['in', 'his', 'preprint', 'arxiv07110952v1', 'behnam', 'farid', 'argues', 'that', 'the', 'luttinger', 'theorem', 'is', 'valid', 'not', 'only', 'for', 'a', 'metal', 'but', 'also', 'for', 'a', 'mott', 'insulator', 'if', 'the', 'chemical', 'potential', 'is', 'calculated', 'by', 'taking', 'the', 'limit', 'of', 'vanishing', 'temperature', 'at', 'fixed', 'particle', 'density', 'in', 'contrast', 'we', 'have', 'found', 'in', 'our', 'recent', 'paper', 'eur', 'phys', 'j', 'b', '59', '495', '2007', 'or', 'arxivcondmat0602656', 'on', 'the', 'basis', 'of', 'a', 'controlled', 'strong', 'coupling', 'expansion', 'that', 'the', 'luttinger', 'theorem', 'is', 'violated', 'in', 'this', 'limit', 'for', 'a', 'particlehole', 'asymmetric', 'twoband', 'mott', 'insulator', 'in', 'an', 'extensive', 'discussion', 'of', 'our', 'result', 'farid', 'argues', 'that', 'an', 'arbitrarily', 'weak', 'breaking', 'of', 'particlehole', 'symmetry', 'leads', 'to', 'a', 'destruction', 'of', 'the', 'mott', 'insulating', 'state', 'at', 'half', 'filling', 'in', 'this', 'comment', 'we', 'point', 'out', 'that', 'this', 'is', 'not', 'correct']] | [-0.16451294850057746, 0.16514350389431554, -0.09695828209769689, 0.024798062173957545, -0.027528322142094743, -0.174249625937967, 0.14390501990906648, 0.3019205706101681, -0.16142073690444847, -0.23768609632114487, 0.022061563552980702, -0.2844258194619959, -0.11616291072073369, 0.13180697611090536, -0.05486363998839385, -0.04392512886176917, -0.013002562521348807, -0.04484386086629411, -0.10156682753658369, -0.2577987120752338, 0.2842722865329547, 0.019534359347413887, 0.276458954283908, 0.15576656686126694, 0.02419049650900189, 0.03319637038675714, 0.05338354324075309, 0.011498220557393121, -0.147799639525094, 0.007859182297752416, 0.25510187041060617, -0.0582466900756598, 0.258721828422209, -0.38307928861203516, -0.1836818987811523, 0.052965573300722955, 0.1053382426592683, 0.16120575129801085, -0.05270734935140715, -0.3169861778055033, 0.051482169446342985, -0.23833794296480532, -0.1796770168984047, -0.07545736727635723, 0.0658112488579282, -0.06437303860333156, -0.257606381111709, 0.13268283229443428, 0.13978425712201528, 0.08452166639237611, -0.04189812405465925, -0.09639288542391963, -0.059680532106036736, 0.030567524652574056, 0.04355403703583543, 0.10256067582613919, 0.09800490875216586, -0.11996992117598314, -0.07261799126940448, 0.36762098697098816, -0.07336255693461838, -0.12696688095769607, 0.18644514771213, -0.16980949238188997, -0.14314263371061842, 0.14795415199646525, 0.056190389216192495, 0.07907124499844248, -0.12044453674019122, 0.14136037135916216, -0.12092778579743718, 0.1753746721316764, 0.045111321174531926, 0.012093463597034127, 0.2403847127075284, 0.14082446289903, 0.052533327149658283, 0.1059119809911517, -0.0620709559399142, -0.08497760284014723, -0.32928935253669406, -0.16277156781004973, -0.2794600784170541, 0.09476103179550283, -0.01720453035047909, -0.16247506644038007, 0.3543247266841883, 0.1759907205181181, 0.1882494128124465, -0.008200156660211727, 0.20535417592676342, 0.1484254844763801, 0.003612451750327148, 0.08378382902284545, 0.292002652186808, 0.11874885972750888, 0.11714250539729665, -0.21944046825986385, 0.029103348836926203, 0.0888954062449692] |
711.3094 | Three distinctive temperatures of normal-to-superconductive phase
transition detected by the unique SFCO method: their crucial role for proper
identification of the nature of superconductivity | A low-power stable tunnel diode oscillator with non-traditional single-layer
flat pick-up coil is an excellent MHz-range instrument with which one may study
weakly expressed peculiarities of the superconductive (SC) state in tiny
plate-like high-Tc superconductive (HTSC) materials. It enables to detect
changes about 1 pH of the HTSC film's magnetic inductance (changes about 1
Angstrom of the SC-magnetic penetration depth, lambda) with about 6 orders
relative resolution. Due to detecting coil's flat design, relatively low
operation frequency, so high relative resolution and an ability of this
technique to operate also in high magnetic fields the method has advantages
over others. They become crucial at non-destructive studies in thin flat HTSC
materials with small signals - especially near the normal-to-superconductive
(N/S) phase transition (at start of formation of electron-pairs). Just due to
such advantages a fine 'paramagnetic' peculiarity of the SC-transition was
detected by this method in YBaCuO film recently, which precedes well-known
Meissner expel. The method enabled to detect also a little absorption of a
power by the HTSC film upon its SC transition, with a peak located after the
onset of Meissner push-out - close to its center. Extracted from so complicated
fluctuation region these subtle effects (1-st is precursor, whereas the 2-nd -
posterior to the Meissner expel) indicate an existence of 3 distinctive
temperatures at N/S transition. Crucial role of these specific temperatures for
understanding of a real nature of the whole SC-phenomenon is discussed.
Possible relation between these temperatures and the 'singlet'/'triplet'
behavior of electron-pairs is pointed out and argued.
| cond-mat.supr-con cond-mat.str-el | a lowpower stable tunnel diode oscillator with nontraditional singlelayer flat pickup coil is an excellent mhzrange instrument with which one may study weakly expressed peculiarities of the superconductive sc state in tiny platelike hightc superconductive htsc materials it enables to detect changes about 1 ph of the htsc films magnetic inductance changes about 1 angstrom of the scmagnetic penetration depth lambda with about 6 orders relative resolution due to detecting coils flat design relatively low operation frequency so high relative resolution and an ability of this technique to operate also in high magnetic fields the method has advantages over others they become crucial at nondestructive studies in thin flat htsc materials with small signals especially near the normaltosuperconductive ns phase transition at start of formation of electronpairs just due to such advantages a fine paramagnetic peculiarity of the sctransition was detected by this method in ybacuo film recently which precedes wellknown meissner expel the method enabled to detect also a little absorption of a power by the htsc film upon its sc transition with a peak located after the onset of meissner pushout close to its center extracted from so complicated fluctuation region these subtle effects 1st is precursor whereas the 2nd posterior to the meissner expel indicate an existence of 3 distinctive temperatures at ns transition crucial role of these specific temperatures for understanding of a real nature of the whole scphenomenon is discussed possible relation between these temperatures and the singlettriplet behavior of electronpairs is pointed out and argued | [['a', 'lowpower', 'stable', 'tunnel', 'diode', 'oscillator', 'with', 'nontraditional', 'singlelayer', 'flat', 'pickup', 'coil', 'is', 'an', 'excellent', 'mhzrange', 'instrument', 'with', 'which', 'one', 'may', 'study', 'weakly', 'expressed', 'peculiarities', 'of', 'the', 'superconductive', 'sc', 'state', 'in', 'tiny', 'platelike', 'hightc', 'superconductive', 'htsc', 'materials', 'it', 'enables', 'to', 'detect', 'changes', 'about', '1', 'ph', 'of', 'the', 'htsc', 'films', 'magnetic', 'inductance', 'changes', 'about', '1', 'angstrom', 'of', 'the', 'scmagnetic', 'penetration', 'depth', 'lambda', 'with', 'about', '6', 'orders', 'relative', 'resolution', 'due', 'to', 'detecting', 'coils', 'flat', 'design', 'relatively', 'low', 'operation', 'frequency', 'so', 'high', 'relative', 'resolution', 'and', 'an', 'ability', 'of', 'this', 'technique', 'to', 'operate', 'also', 'in', 'high', 'magnetic', 'fields', 'the', 'method', 'has', 'advantages', 'over', 'others', 'they', 'become', 'crucial', 'at', 'nondestructive', 'studies', 'in', 'thin', 'flat', 'htsc', 'materials', 'with', 'small', 'signals', 'especially', 'near', 'the', 'normaltosuperconductive', 'ns', 'phase', 'transition', 'at', 'start', 'of', 'formation', 'of', 'electronpairs', 'just', 'due', 'to', 'such', 'advantages', 'a', 'fine', 'paramagnetic', 'peculiarity', 'of', 'the', 'sctransition', 'was', 'detected', 'by', 'this', 'method', 'in', 'ybacuo', 'film', 'recently', 'which', 'precedes', 'wellknown', 'meissner', 'expel', 'the', 'method', 'enabled', 'to', 'detect', 'also', 'a', 'little', 'absorption', 'of', 'a', 'power', 'by', 'the', 'htsc', 'film', 'upon', 'its', 'sc', 'transition', 'with', 'a', 'peak', 'located', 'after', 'the', 'onset', 'of', 'meissner', 'pushout', 'close', 'to', 'its', 'center', 'extracted', 'from', 'so', 'complicated', 'fluctuation', 'region', 'these', 'subtle', 'effects', '1st', 'is', 'precursor', 'whereas', 'the', '2nd', 'posterior', 'to', 'the', 'meissner', 'expel', 'indicate', 'an', 'existence', 'of', '3', 'distinctive', 'temperatures', 'at', 'ns', 'transition', 'crucial', 'role', 'of', 'these', 'specific', 'temperatures', 'for', 'understanding', 'of', 'a', 'real', 'nature', 'of', 'the', 'whole', 'scphenomenon', 'is', 'discussed', 'possible', 'relation', 'between', 'these', 'temperatures', 'and', 'the', 'singlettriplet', 'behavior', 'of', 'electronpairs', 'is', 'pointed', 'out', 'and', 'argued']] | [-0.12155555839379797, 0.1666980069068799, -0.03441573570290136, 0.03875819475744448, -0.07672411617200807, -0.16887204183514423, 0.07259393871011521, 0.3793661751622251, -0.24144837697062957, -0.32770513329769935, 0.04396865252209337, -0.27938198461480107, -0.0906831110688115, 0.19778373723789325, -0.01627358726637253, -0.014495441749001955, -0.01889204338187284, 0.002320029737233648, -0.09016539921360996, -0.1970461940822693, 0.2662821493134174, 0.10122624468124332, 0.34635634268238114, 0.06891529229733535, 0.09030358248431733, -0.05945051037649877, 0.07091830810979725, 0.016563790149021488, -0.12152056160726045, 0.04116788884910692, 0.2975318181867662, -0.018867232989489672, 0.2349117377919978, -0.4102861561439177, -0.20561002328782624, 0.04820638231703114, 0.1216774637596908, 0.0962128238856174, -0.03798610469251437, -0.2787170231168871, 0.09168068680682254, -0.1318585691522988, -0.157229392704585, -0.06058688942146929, 0.028136741555661628, -0.007798260062751982, -0.18535083354576132, 0.06490994644655775, 0.07758937291462806, 0.0721040735782882, -0.0664611359057111, -0.10417087229632353, -0.03758802571379191, 0.07901364864841827, 0.04695366181174919, 0.05359937047382236, 0.15873052268609525, -0.14144807545701985, -0.04160684061628815, 0.3343101077023064, -0.01841292791596429, -0.01874466788547815, 0.19414307531402994, -0.1888478702190615, -0.07037963433877419, 0.2289049244383991, 0.08279790321689265, 0.10280978179306757, -0.11771241655744809, 0.023650658666038403, 0.05156906790416763, 0.20440069422208768, 0.10089935319637691, 0.060360666445497924, 0.28289900562888093, 0.2254278005236526, 0.02557070012625471, 0.1333199354050764, -0.13480791988733568, -0.03860066228415176, -0.23646737709250262, -0.1579238615274007, -0.1646966174346685, 0.0624158286139829, -0.05539040702004184, -0.19329134462144876, 0.36888480244151617, 0.16131477064113953, 0.19891680922238572, -0.08418274865988151, 0.27395671852091363, 0.07817471291123312, 0.09876462222955487, 0.021422621696011016, 0.27383911369089414, 0.18476269511894328, 0.16827493368159943, -0.24637769007238067, 0.08345973380060814, -0.010329211278731825] |
711.3095 | Cooper Pair Shape in Normal-metal/Superconductor Junctions | In s-wave superconductors the Cooper pair wave function is isotropic in
momentum space. This property may also be expected for Cooper pairs entering a
normal metal from a superconductor due to the proximity effect. We show,
however, that such a deduction is incorrect and the pairing function in a
normal metal is surprisingly anisotropic because of quasiparticle interference.
We calculate angle resolved quasiparticle density of states in NS bilayers
which reflects such anisotropic shape of the pairing function. We also propose
a magneto-tunneling spectroscopy experiment which could confirm our
predictions.
| cond-mat.supr-con cond-mat.mes-hall | in swave superconductors the cooper pair wave function is isotropic in momentum space this property may also be expected for cooper pairs entering a normal metal from a superconductor due to the proximity effect we show however that such a deduction is incorrect and the pairing function in a normal metal is surprisingly anisotropic because of quasiparticle interference we calculate angle resolved quasiparticle density of states in ns bilayers which reflects such anisotropic shape of the pairing function we also propose a magnetotunneling spectroscopy experiment which could confirm our predictions | [['in', 'swave', 'superconductors', 'the', 'cooper', 'pair', 'wave', 'function', 'is', 'isotropic', 'in', 'momentum', 'space', 'this', 'property', 'may', 'also', 'be', 'expected', 'for', 'cooper', 'pairs', 'entering', 'a', 'normal', 'metal', 'from', 'a', 'superconductor', 'due', 'to', 'the', 'proximity', 'effect', 'we', 'show', 'however', 'that', 'such', 'a', 'deduction', 'is', 'incorrect', 'and', 'the', 'pairing', 'function', 'in', 'a', 'normal', 'metal', 'is', 'surprisingly', 'anisotropic', 'because', 'of', 'quasiparticle', 'interference', 'we', 'calculate', 'angle', 'resolved', 'quasiparticle', 'density', 'of', 'states', 'in', 'ns', 'bilayers', 'which', 'reflects', 'such', 'anisotropic', 'shape', 'of', 'the', 'pairing', 'function', 'we', 'also', 'propose', 'a', 'magnetotunneling', 'spectroscopy', 'experiment', 'which', 'could', 'confirm', 'our', 'predictions']] | [-0.18375975685194135, 0.19736608085739943, -0.14449877260873714, 0.14454070193330862, -0.09619604995112038, -0.12602795902122227, 0.09387157801021305, 0.36329159835974373, -0.23640422842775782, -0.26490746309152907, -0.08682714328687224, -0.3149106917695867, -0.14666368232315613, 0.14864237606331396, 0.016293792240321636, -0.005402623013489776, 0.00025360503932461145, -0.03438528175595113, -0.16341645984470637, -0.16816530733679733, 0.3766039372732242, -0.01544827665719721, 0.33969857953488825, 0.10996683555034299, 0.009416582192190819, 0.03997529133533438, 0.05674199532303545, 0.02674295198036513, -0.11381976829054313, 0.018883806236165885, 0.2877379306799008, -0.052799376803967686, 0.18696911709590092, -0.41094149539454117, -0.18822766820796663, 0.05982262929901481, 0.16806016488828593, 0.1781460600439459, -0.07109247370260871, -0.2726395076347722, 0.049088092039649686, -0.20475622699337287, -0.14575172072379952, -0.052632433641701934, 0.014363830774608585, 0.006035657318878091, -0.2848372312805926, 0.10938145419414569, 0.07084818829187295, 0.0016496201149291461, -0.041936748829256326, -0.08784350539661116, -0.0476858488853193, -0.012573044379759165, 0.03590898592180262, 0.0905921237439745, 0.11034620515678803, -0.13886373655404896, -0.054608678555167794, 0.34040988873069483, -0.05933758996220099, -0.15756722076071633, 0.12788243965866666, -0.16047741156588827, -0.027983604956211314, 0.1256263998751011, 0.10704254198612438, 0.09904453444501592, -0.12853461780274908, 0.040909283687748633, -0.08249184004558224, 0.16784805717567602, 0.03641910143196583, 0.09858669035861062, 0.27605018282516136, 0.1677577170698593, 0.027399227406001755, 0.11903026475338266, -0.13952824457341598, -0.023152380421136817, -0.2685432155409621, -0.2036793514361812, -0.23538885749876498, 0.07059807841093667, 0.0017420926721469084, -0.19800402775613798, 0.36097401570425264, 0.12088709469600063, 0.23593523438192077, -0.04867116086340199, 0.2615638639570938, 0.13901807586791823, 0.08927291968009538, 0.026444405663965477, 0.25118190954542824, 0.14285629833272348, 0.057170692639839316, -0.29986949774384913, 0.11438363150486516, 0.018879251226058436] |
711.3096 | Krammer representations for complex braid groups | Let B be the generalized braid group associated to some finite complex
reflection group. We define a representation of B of dimension the number of
reflections of the corresponding reflection group, which generalizes the
Krammer representation of the classical braid groups, and is thus a good
candidate in view of proving the linearity of these groups. We decompose this
representation in irreducible components and compute its Zariski closure, as
well as its restriction to parabolic subgroups. We prove that it is faithful
when W is a Coxeter group of type ADE and odd dihedral types, and conjecture
its faithfulness when W has a single class of reflections. If true, this
conjecture would imply various group-theoretic properties for these groups,
that we prove separately to be true for the other groups.
| math.RT math.GR | let b be the generalized braid group associated to some finite complex reflection group we define a representation of b of dimension the number of reflections of the corresponding reflection group which generalizes the krammer representation of the classical braid groups and is thus a good candidate in view of proving the linearity of these groups we decompose this representation in irreducible components and compute its zariski closure as well as its restriction to parabolic subgroups we prove that it is faithful when w is a coxeter group of type ade and odd dihedral types and conjecture its faithfulness when w has a single class of reflections if true this conjecture would imply various grouptheoretic properties for these groups that we prove separately to be true for the other groups | [['let', 'b', 'be', 'the', 'generalized', 'braid', 'group', 'associated', 'to', 'some', 'finite', 'complex', 'reflection', 'group', 'we', 'define', 'a', 'representation', 'of', 'b', 'of', 'dimension', 'the', 'number', 'of', 'reflections', 'of', 'the', 'corresponding', 'reflection', 'group', 'which', 'generalizes', 'the', 'krammer', 'representation', 'of', 'the', 'classical', 'braid', 'groups', 'and', 'is', 'thus', 'a', 'good', 'candidate', 'in', 'view', 'of', 'proving', 'the', 'linearity', 'of', 'these', 'groups', 'we', 'decompose', 'this', 'representation', 'in', 'irreducible', 'components', 'and', 'compute', 'its', 'zariski', 'closure', 'as', 'well', 'as', 'its', 'restriction', 'to', 'parabolic', 'subgroups', 'we', 'prove', 'that', 'it', 'is', 'faithful', 'when', 'w', 'is', 'a', 'coxeter', 'group', 'of', 'type', 'ade', 'and', 'odd', 'dihedral', 'types', 'and', 'conjecture', 'its', 'faithfulness', 'when', 'w', 'has', 'a', 'single', 'class', 'of', 'reflections', 'if', 'true', 'this', 'conjecture', 'would', 'imply', 'various', 'grouptheoretic', 'properties', 'for', 'these', 'groups', 'that', 'we', 'prove', 'separately', 'to', 'be', 'true', 'for', 'the', 'other', 'groups']] | [-0.14114932983827133, 0.10586329842111669, -0.13914134350891869, 0.05016091511889289, -0.14089335974019307, -0.15292531645122487, 0.03341953926361524, 0.35428073303057595, -0.35962433108271885, -0.25859012390271974, 0.0994015450128175, -0.21830025477549778, -0.1319775827981245, 0.18172219078987836, -0.1303932664127877, -0.05018466255009676, 0.04658846110105515, 0.13348484856721302, -0.10955134297792728, -0.2674694333297129, 0.35943916184970964, -0.06789403226531039, 0.24176837652026173, 0.014160628351741112, 0.07378614430960555, 0.05149320852226363, -0.03746123157728177, -0.00973081504746985, -0.07151175189747637, 0.11766155332219429, 0.28967104660203824, 0.07857600229326636, 0.191648626814668, -0.33887537435198634, -0.17149121758635513, 0.21363740019643537, 0.133563467363218, 0.031223407548028402, -0.020085535553069068, -0.29400091962172437, 0.16160854102613834, -0.19992131711556935, -0.19220886979825222, -0.03668966033281042, 0.07798149153733483, -0.010620795684651687, -0.22110708735596676, 0.026587635049453148, 0.10914529922436206, 0.09219875464645716, -0.05377303785554921, -0.10172128403344406, -0.05110121409390838, 0.1506112292601476, 0.004258342175028072, -0.011341644003270911, 0.0669633003954704, -0.11404651428142992, -0.12200711585867863, 0.4374172220257326, -0.003049328453982106, -0.21998627790464806, 0.1846118081934177, -0.1897979400980358, -0.1968218231985632, 0.11436735688565443, 0.09482841564234919, 0.08290327666327357, -0.013360640511606247, 0.15002413982203086, -0.1832230515921345, 0.07409967950616891, 0.07353483826960795, 0.007030581489491921, 0.10573098336059887, 0.060810758452862504, 0.07478458238536125, 0.12913924737054353, -0.009396764794095921, 0.05731495827483461, -0.350612611294939, -0.2470968731553652, -0.11559966650774746, 0.11296367776051808, -0.09195436066544901, -0.17368500216219288, 0.39189976193010806, 0.07125201959727118, 0.13069582594415316, 0.12595631477440922, 0.17992685149029758, 0.08235449317950182, 0.06858730915880118, 0.04888566577238425, 0.10147043383577302, 0.23933859888750772, -0.11159609332143401, -0.18539117446097617, 0.011810079401430602, 0.17536990388941306] |
711.3097 | Directive Emission from Defect-Free Dodecagonal Photonic Quasicrystals:
A Leaky-Wave Characterization | In this paper, we study the radiation from embedded sources in
two-dimensional finite-size "photonic-quasicrystal" (PQC) slabs made of
dielectric rods arranged according to a 12-fold symmetric aperiodic tiling. The
results from our investigation, based on rigorous full-wave simulations, show
the possibility of achieving broadside radiation at multiple frequencies, with
high-directivity (e.g., 15 dB) and low-sidelobes (e.g., -12 dB). We also show
that leaky waves are supported by a PQC slab, and that the beamwidth is
directly proportional to the leaky-wave attenuation constant, which provides a
physically-incisive interpretation of the observed radiation characteristics.
| physics.optics | in this paper we study the radiation from embedded sources in twodimensional finitesize photonicquasicrystal pqc slabs made of dielectric rods arranged according to a 12fold symmetric aperiodic tiling the results from our investigation based on rigorous fullwave simulations show the possibility of achieving broadside radiation at multiple frequencies with highdirectivity eg 15 db and lowsidelobes eg 12 db we also show that leaky waves are supported by a pqc slab and that the beamwidth is directly proportional to the leakywave attenuation constant which provides a physicallyincisive interpretation of the observed radiation characteristics | [['in', 'this', 'paper', 'we', 'study', 'the', 'radiation', 'from', 'embedded', 'sources', 'in', 'twodimensional', 'finitesize', 'photonicquasicrystal', 'pqc', 'slabs', 'made', 'of', 'dielectric', 'rods', 'arranged', 'according', 'to', 'a', '12fold', 'symmetric', 'aperiodic', 'tiling', 'the', 'results', 'from', 'our', 'investigation', 'based', 'on', 'rigorous', 'fullwave', 'simulations', 'show', 'the', 'possibility', 'of', 'achieving', 'broadside', 'radiation', 'at', 'multiple', 'frequencies', 'with', 'highdirectivity', 'eg', '15', 'db', 'and', 'lowsidelobes', 'eg', '12', 'db', 'we', 'also', 'show', 'that', 'leaky', 'waves', 'are', 'supported', 'by', 'a', 'pqc', 'slab', 'and', 'that', 'the', 'beamwidth', 'is', 'directly', 'proportional', 'to', 'the', 'leakywave', 'attenuation', 'constant', 'which', 'provides', 'a', 'physicallyincisive', 'interpretation', 'of', 'the', 'observed', 'radiation', 'characteristics']] | [-0.13202035851420812, 0.12795061283755335, -0.02749948931355657, -0.029830495816435706, -0.05281974611741103, -0.1204284054038816, 0.05195962381418376, 0.45078202583984045, -0.19721212878488423, -0.2876791072528014, 0.06949633899605258, -0.2978436149489344, -0.16658799785576509, 0.21602684633513347, -0.006929868753748328, 0.05199300883902928, 0.023693842907551298, -0.05631839620012246, -0.03494990397548157, -0.14356017397360854, 0.2831978190878636, 0.08766301794584548, 0.3221072125238147, 0.029213233832583837, 0.07537152812282523, -0.0013173390912373415, -0.01359510389836819, 0.026217863750379152, -0.14725636570662748, 0.06976369529795111, 0.20727054868416672, -0.0009313069304890847, 0.19160379194968452, -0.43808857530546425, -0.23759836978226734, 0.022425630046159363, 0.11870418708827712, 0.09286137083100594, -0.08348001080455279, -0.2611415055109544, 0.09023107264944341, -0.11465597814576847, -0.14791850702512715, 0.01919774653578407, -0.02725043201170276, 0.035642835009435006, -0.2535301752838442, 0.03229766243544219, 0.06361717049534736, 0.03876948965650596, -0.07385750554941511, -0.09345535653528203, 0.006833936872119032, 0.058779550169521334, -0.008588042755067098, 0.003359711349659254, 0.12725467767678933, -0.059010128158385335, -0.1195909858346404, 0.4015341391891576, -0.06995230747826314, -0.19934929991902894, 0.1696500585236576, -0.17534197006228097, -0.006496038089056363, 0.19486058962772065, 0.1642095483107011, 0.06683757764632615, -0.10598598370391331, 0.010499659675864106, -0.05037571913484233, 0.24948546131732716, 0.16213086127627935, 0.03649219453041808, 0.25062123885943316, 0.15494152591720725, -0.03910225398283912, 0.20484872331078885, -0.10446817330294027, -0.04217733329245716, -0.26376053110730385, -0.10933907371370143, -0.18577901367098093, 0.09040550584643242, -0.10197997284141432, -0.20707280339157794, 0.3573472620396132, 0.1425102492846716, 0.14335025116026903, 0.05924630557380491, 0.30985708559831876, 0.0875337903892747, 0.047551159090310165, 0.08638356596995354, 0.2761375793998831, 0.13223965443262642, 0.06618195733453115, -0.2100246787029371, -0.05285203499259072, -0.03336418487047881] |
711.3098 | Quark-model hadron structure | We review some selected recent results on hadron spectroscopy and related
theoretical studies based on constituent quark models.
| hep-ph | we review some selected recent results on hadron spectroscopy and related theoretical studies based on constituent quark models | [['we', 'review', 'some', 'selected', 'recent', 'results', 'on', 'hadron', 'spectroscopy', 'and', 'related', 'theoretical', 'studies', 'based', 'on', 'constituent', 'quark', 'models']] | [0.02638367387569613, 0.14929597553176185, -0.11532164334009092, 0.045222950995796256, -0.13112726735158098, -0.09787199309923583, 0.11683614034619597, 0.42449294392847353, -0.06775045229329003, -0.22377898254328304, 0.07569286028026706, -0.39295191648933625, -0.11336649121302697, 0.24968647237660158, 0.005730079280005561, 0.15616911235782835, 0.13094454237984288, -0.037756208770184055, -0.08678205000857513, -0.2888358607888222, 0.3463085068182813, 0.036884098779410124, 0.29294291883707047, 0.19711575201816028, 0.025558220946954355, 0.034347823510567345, -0.23978062827760974, -0.0189760931664043, -0.2666541851229138, 0.16520994849916962, 0.15851348342908345, 0.08978467393252584, 0.17737847426906228, -0.4748923559155729, -0.20525680486268053, -0.020517754678924877, 0.08929822120505075, 0.10970864124182197, -0.19337875966448337, -0.2653128139467703, 0.0701073452623354, -0.18969279108569026, -0.07593479597320159, -0.16003883635211322, -0.06096908998572164, 0.07802100086377727, -0.17697237866620222, 0.025161120523181226, -0.049090217954168715, 0.10388016535176171, -0.099930497041593, -0.3749225607348813, 0.040638412141965494, -0.014309973559445806, 0.1098281837378939, 0.04796086721924237, 0.16366209071646962, -0.18433923853768241, -0.2173499357369211, 0.34750593319121337, -0.0583718316629529, -0.1315869221256839, 0.28791574576300466, -0.14640248835914665, -0.29588494460201925, -0.053176208606196776, 0.27644468838762903, 0.15680026829553148, -0.16366086098262006, 0.03217143134356269, -0.13097545597702265, 0.1752526488982969, -0.024455881574087672, 0.11779118983799385, 0.24936318676918745, 0.2705998523160815, -0.18734230380505323, 0.028451189256480172, -0.05697708895119528, -0.1573583452651898, -0.3469407483935356, 0.02035666386493378, -0.1717930051187674, -0.0007500507183269494, 0.012269402673862513, -0.041323658337609634, 0.45112741200460327, 0.21429116309930882, 0.26614356516963905, -0.04666076031410032, 0.31152960161368054, 0.02587335743010044, 0.026112557906243537, -0.023853432490593858, 0.2454805218747222, 0.2576267648902204, 0.11761948026509748, -0.22736902183128727, 0.016961440243499562, 0.10197804625042611] |
711.3099 | Augmented Tree-based Routing Protocol for Scalable Ad Hoc Networks | In ad hoc networks scalability is a critical requirement if these
technologies have to reach their full potential. Most of the proposed routing
protocols do not operate efficiently with networks of more than a few hundred
nodes. In this paper, we propose an augmented tree-based address space
structure and a hierarchical multi-path routing protocol, referred to as
Augmented Tree-based Routing (ATR), which utilizes such a structure in order to
solve the scalability problem and to gain good resilience against node
failure/mobility and link congestion/instability. Simulation results and
performance comparisons with existing protocols substantiate the effectiveness
of the ATR.
| cs.NI | in ad hoc networks scalability is a critical requirement if these technologies have to reach their full potential most of the proposed routing protocols do not operate efficiently with networks of more than a few hundred nodes in this paper we propose an augmented treebased address space structure and a hierarchical multipath routing protocol referred to as augmented treebased routing atr which utilizes such a structure in order to solve the scalability problem and to gain good resilience against node failuremobility and link congestioninstability simulation results and performance comparisons with existing protocols substantiate the effectiveness of the atr | [['in', 'ad', 'hoc', 'networks', 'scalability', 'is', 'a', 'critical', 'requirement', 'if', 'these', 'technologies', 'have', 'to', 'reach', 'their', 'full', 'potential', 'most', 'of', 'the', 'proposed', 'routing', 'protocols', 'do', 'not', 'operate', 'efficiently', 'with', 'networks', 'of', 'more', 'than', 'a', 'few', 'hundred', 'nodes', 'in', 'this', 'paper', 'we', 'propose', 'an', 'augmented', 'treebased', 'address', 'space', 'structure', 'and', 'a', 'hierarchical', 'multipath', 'routing', 'protocol', 'referred', 'to', 'as', 'augmented', 'treebased', 'routing', 'atr', 'which', 'utilizes', 'such', 'a', 'structure', 'in', 'order', 'to', 'solve', 'the', 'scalability', 'problem', 'and', 'to', 'gain', 'good', 'resilience', 'against', 'node', 'failuremobility', 'and', 'link', 'congestioninstability', 'simulation', 'results', 'and', 'performance', 'comparisons', 'with', 'existing', 'protocols', 'substantiate', 'the', 'effectiveness', 'of', 'the', 'atr']] | [-0.18731546264583207, -0.029186523217352562, -0.014016530141816474, 0.03666919070140769, -0.09941429654524352, -0.1966580101773919, 0.09541581935021289, 0.46097157751986134, -0.26302981010546017, -0.33469292416702956, 0.08691683749808969, -0.24218725019697254, -0.19403968959037834, 0.15257920553388735, -0.12210260640616373, 0.12743703151378818, 0.10052381099861425, 0.027643936957853537, -0.039492698958686866, -0.2764163223085537, 0.30809688509907573, 0.12246762909247384, 0.3347145872830879, 0.07161661122033063, 0.09052309364778921, -0.017545462552031193, -0.005446157259333025, 0.03312287110475154, -0.06530111090736075, 0.14217102829691916, 0.2928123491195341, 0.19414398865774274, 0.3290847535681678, -0.44985125491317984, -0.27084994923401, 0.12282622604592082, 0.18339197554936013, 0.08914754820458863, -0.02179489265669569, -0.2774101836936704, 0.16746677141054533, -0.25803258038589166, -0.0626799619931262, -0.1085531358839944, -0.07398160894990724, 0.023401922148574766, -0.24775438899935884, -0.031113116662406053, -0.016354840015992522, 0.00975470793976759, -0.006065333783529543, -0.06474626965549153, 0.0355460441642208, 0.12738923636546437, -0.036810302304123375, 0.028933388359291712, 0.10371469759653944, -0.12052946063825705, -0.22470896849457253, 0.41639604601368774, 0.017693935379763086, -0.21923319449221404, 0.19916350536368554, 0.03412095351450262, -0.12808825093088672, 0.10394473717027115, 0.21221049727561572, 0.10436072558513843, -0.142673379189849, -0.014488040656336429, -0.0014984352358927329, 0.17209555922696987, 0.05087884485571218, 0.09323662246849078, 0.09119142273023802, 0.2495662091144671, 0.13559239274763968, 0.09091379357899616, -0.08975923084896446, -0.12405680427521777, -0.18020710626539463, -0.12954110020655207, -0.1756891829233306, -0.008558268132370964, -0.1050810165816074, -0.14606169593268228, 0.3848851128471627, 0.2594484923465643, 0.19259887764928862, 0.10177930185576163, 0.4050535981550638, 0.018901926774560707, 0.11253464351527025, 0.16940005052795945, 0.20867703073114777, 0.05956539333662173, 0.14897319732699543, -0.14057013844042862, 0.11713956711052258, 0.011664245345552141] |
711.31 | Long range scattering for the Maxwell-Schr"odinger system with
arbitrarily large asymptotic data | We review the proof of existence and uniqueness of solutions of the
Maxwell-Schr"odinger system in a neighborhood of infinity in time, with
prescribed asymptotic behaviour defined in terms of asymptotic data, without
any restriction on the size of those data. That result is the basic step in the
construction of modified wave operators for the Maxwell-Schr"odinger system.
| math.AP | we review the proof of existence and uniqueness of solutions of the maxwellschrodinger system in a neighborhood of infinity in time with prescribed asymptotic behaviour defined in terms of asymptotic data without any restriction on the size of those data that result is the basic step in the construction of modified wave operators for the maxwellschrodinger system | [['we', 'review', 'the', 'proof', 'of', 'existence', 'and', 'uniqueness', 'of', 'solutions', 'of', 'the', 'maxwellschrodinger', 'system', 'in', 'a', 'neighborhood', 'of', 'infinity', 'in', 'time', 'with', 'prescribed', 'asymptotic', 'behaviour', 'defined', 'in', 'terms', 'of', 'asymptotic', 'data', 'without', 'any', 'restriction', 'on', 'the', 'size', 'of', 'those', 'data', 'that', 'result', 'is', 'the', 'basic', 'step', 'in', 'the', 'construction', 'of', 'modified', 'wave', 'operators', 'for', 'the', 'maxwellschrodinger', 'system']] | [-0.18636826482977262, 0.03231113721828973, -0.10982903370862468, 0.01095992442130585, -0.03875111795455348, -0.06451346881262827, 0.037582359047966044, 0.24190171515536413, -0.22916926260580095, -0.27339890004511463, 0.15569741940615991, -0.2699865839493118, -0.10913046888533261, 0.17315236560738922, -0.05342717507952138, 0.08996715834527685, 0.08652818124545247, 0.08526912909981452, -0.07872442387681651, -0.21987086587193372, 0.4078075850929804, 0.0032132978044580995, 0.24983338800896154, 0.02004036199497549, 0.10514959478607859, 0.028446271353842395, -0.012542495700089555, -0.005849131922188558, -0.14912551158302353, 0.09121776857462369, 0.20686909442832857, 0.1543599141010067, 0.27706974718654365, -0.4470851176598093, -0.16690195439610092, 0.11219368738596115, 0.1514681814597887, 0.11697696249170245, -0.012875225650260976, -0.28044584460899624, 0.10871000077346699, -0.11258046740764066, -0.27130347674941285, -0.02656886891947994, 0.010590532043001108, 0.09843944385647774, -0.24176947259458534, 0.05791384770061102, 0.1362072481005861, 0.06651327003349077, -0.13489215734431095, -0.06885235546271137, -0.026950153603888395, 0.11563148260476035, 0.08476962358690798, -0.005218431598653919, 0.045022361054036175, -0.13287410582824236, -0.09011668551778584, 0.3256923822653398, -0.12194950459524989, -0.24314815766717257, 0.1629834398954061, -0.170812083400067, -0.12989041122624226, 0.09114083013775055, 0.169371716800685, 0.14331872323364542, -0.13702954484247848, 0.1565713155677689, -0.05762494696899554, 0.11800645082666163, 0.08860398741569697, 0.07738851055731638, 0.08933868063123603, 0.17784018758194228, 0.0985603676782104, 0.13079410837146274, 0.0073075108761131245, -0.10730037064569299, -0.39666643098258136, -0.17995942163887726, -0.20875728803507068, 0.06439635247526192, -0.14691163212231467, -0.19703828791777292, 0.41663186652422474, 0.13415559642670447, 0.19196473896960942, 0.11064124465184777, 0.23195652503585606, 0.13874380981647655, 0.024985775604778736, 0.04739412243821119, 0.19389497570432068, 0.11009406909477293, 0.12073121864446684, -0.23989100294318377, 0.07152002941196163, 0.16076308068933717] |
711.3101 | Collective Atomic Recoil Lasing and Superradiant Rayleigh Scattering in
a high-Q ring cavity | Cold atoms in optical high-Q cavities are an ideal model system for
long-range interacting particles. The position of two arbitrary atoms is,
independent on their distance, coupled by the back-scattering of photons within
the cavity. This mutual coupling can lead to collective instability and
self-organization of a cloud of cold atoms interacting with the cavity fields.
This phenomenon (CARL, i.e. Collective Atomic Recoil Lasing) has been discussed
theoretically for years, but was observed only recently in our lab. The
CARL-effect is closely linked to superradiant Rayleigh Scattering, which has
been intensely studied with Bose-Einstein condensates in free space. By adding
a resonator the coherence time of the system, in which the instability occurs,
can be strongly enhanced. This enables us to observe cavity-enhanced
superradiance with both Bose-Eisntein condensed and thermal clouds and allows
us to close the discussion about the role of quantum statistics in superradiant
scattering.
| nlin.PS nlin.AO | cold atoms in optical highq cavities are an ideal model system for longrange interacting particles the position of two arbitrary atoms is independent on their distance coupled by the backscattering of photons within the cavity this mutual coupling can lead to collective instability and selforganization of a cloud of cold atoms interacting with the cavity fields this phenomenon carl ie collective atomic recoil lasing has been discussed theoretically for years but was observed only recently in our lab the carleffect is closely linked to superradiant rayleigh scattering which has been intensely studied with boseeinstein condensates in free space by adding a resonator the coherence time of the system in which the instability occurs can be strongly enhanced this enables us to observe cavityenhanced superradiance with both boseeisntein condensed and thermal clouds and allows us to close the discussion about the role of quantum statistics in superradiant scattering | [['cold', 'atoms', 'in', 'optical', 'highq', 'cavities', 'are', 'an', 'ideal', 'model', 'system', 'for', 'longrange', 'interacting', 'particles', 'the', 'position', 'of', 'two', 'arbitrary', 'atoms', 'is', 'independent', 'on', 'their', 'distance', 'coupled', 'by', 'the', 'backscattering', 'of', 'photons', 'within', 'the', 'cavity', 'this', 'mutual', 'coupling', 'can', 'lead', 'to', 'collective', 'instability', 'and', 'selforganization', 'of', 'a', 'cloud', 'of', 'cold', 'atoms', 'interacting', 'with', 'the', 'cavity', 'fields', 'this', 'phenomenon', 'carl', 'ie', 'collective', 'atomic', 'recoil', 'lasing', 'has', 'been', 'discussed', 'theoretically', 'for', 'years', 'but', 'was', 'observed', 'only', 'recently', 'in', 'our', 'lab', 'the', 'carleffect', 'is', 'closely', 'linked', 'to', 'superradiant', 'rayleigh', 'scattering', 'which', 'has', 'been', 'intensely', 'studied', 'with', 'boseeinstein', 'condensates', 'in', 'free', 'space', 'by', 'adding', 'a', 'resonator', 'the', 'coherence', 'time', 'of', 'the', 'system', 'in', 'which', 'the', 'instability', 'occurs', 'can', 'be', 'strongly', 'enhanced', 'this', 'enables', 'us', 'to', 'observe', 'cavityenhanced', 'superradiance', 'with', 'both', 'boseeisntein', 'condensed', 'and', 'thermal', 'clouds', 'and', 'allows', 'us', 'to', 'close', 'the', 'discussion', 'about', 'the', 'role', 'of', 'quantum', 'statistics', 'in', 'superradiant', 'scattering']] | [-0.1482207957735478, 0.26384327244425015, -0.07542670428710749, 0.0008464163578725581, -0.016551742124660263, -0.15539062941639586, 0.016223967195777542, 0.38608778207081146, -0.2366720350973051, -0.2632382055455498, 0.008141067266817494, -0.3009767229717972, -0.07484380594165675, 0.18139453438785055, 0.012155174597262822, 0.05948191102080304, 0.0032841091301163724, 0.020490533637749993, 0.02737669684635154, -0.2179738104214956, 0.31740176834984973, 0.10566546915536586, 0.30282187113731074, 0.06293508685595388, 0.09297103296387299, -0.009892648699340121, 0.04833091544629685, -0.03532397970496998, -0.09960599551940787, 0.09784832731017779, 0.23077322946026407, 0.024532591020397378, 0.249813725510291, -0.44906369216483216, -0.22731393546765222, 0.09366970083451477, 0.21896126927679468, 0.17896419789738438, -0.03990702077441303, -0.3277631254224428, -0.05000920580892727, -0.16798547724952342, -0.1531782243047552, -0.05244097542740276, 0.03727429526183626, 0.014793626244725851, -0.2403756737066754, 0.06281420522016185, 0.056942089355614935, 0.05107594146874958, -0.02636505917220473, 0.011918423194759364, 0.04003378628945813, 0.048483184866350275, -0.010417969175614416, -0.0021504702255258274, 0.17962303701145896, -0.12131114032617288, -0.09636149022663976, 0.4132310122379969, -0.06244508914071424, -0.10183136776633608, 0.2495151568075706, -0.1869382718754611, -0.016039334741774304, 0.18349644341987784, 0.1612438987041342, 0.060906387162234246, -0.14032322247352066, 0.03861120552956608, -0.06842656699812104, 0.17918224928033505, 0.12343736504654175, 0.11779158609309073, 0.2798191550476798, 0.18398863185389802, -0.01418023723466643, 0.1868370253359899, -0.08158346708344119, -0.13969406567128567, -0.21313283340363154, -0.13852728473600642, -0.18137311503804962, 0.029981115866645144, -0.03100262858778447, -0.11444425283577936, 0.34502705206195344, 0.15502192393459122, 0.15949961101186685, -0.09190131525733862, 0.27477693011791543, 0.14854181907059433, 0.08381939048172328, 0.015163040302436927, 0.35111250881555267, 0.19308031073546617, 0.07924526725927818, -0.3063197840775909, 0.0030304806545810325, -0.017115789971410715] |
711.3102 | Atom laser dynamics in a tight-waveguide | We study the transient dynamics that arise during the formation of an atom
laser beam in a tight waveguide. During the time evolution the density profile
develops a series of wiggles which are related to the diffraction in time
phenomenon. The apodization of matter waves, which relies on the use of smooth
aperture functions, allows to suppress such oscillations in a time interval,
after which there is a revival of the diffraction in time. The revival time
scale is directly related to the inverse of the harmonic trap frequency for the
atom reservoir.
| cond-mat.other cond-mat.soft | we study the transient dynamics that arise during the formation of an atom laser beam in a tight waveguide during the time evolution the density profile develops a series of wiggles which are related to the diffraction in time phenomenon the apodization of matter waves which relies on the use of smooth aperture functions allows to suppress such oscillations in a time interval after which there is a revival of the diffraction in time the revival time scale is directly related to the inverse of the harmonic trap frequency for the atom reservoir | [['we', 'study', 'the', 'transient', 'dynamics', 'that', 'arise', 'during', 'the', 'formation', 'of', 'an', 'atom', 'laser', 'beam', 'in', 'a', 'tight', 'waveguide', 'during', 'the', 'time', 'evolution', 'the', 'density', 'profile', 'develops', 'a', 'series', 'of', 'wiggles', 'which', 'are', 'related', 'to', 'the', 'diffraction', 'in', 'time', 'phenomenon', 'the', 'apodization', 'of', 'matter', 'waves', 'which', 'relies', 'on', 'the', 'use', 'of', 'smooth', 'aperture', 'functions', 'allows', 'to', 'suppress', 'such', 'oscillations', 'in', 'a', 'time', 'interval', 'after', 'which', 'there', 'is', 'a', 'revival', 'of', 'the', 'diffraction', 'in', 'time', 'the', 'revival', 'time', 'scale', 'is', 'directly', 'related', 'to', 'the', 'inverse', 'of', 'the', 'harmonic', 'trap', 'frequency', 'for', 'the', 'atom', 'reservoir']] | [-0.1531112950335267, 0.1901760266416879, -0.10944956953647317, 0.04351910432269897, -0.03343157030601976, -0.0543027620146712, 0.02660082356743915, 0.39102360914631556, -0.29416114792868653, -0.25068905793621094, 0.10663768586011664, -0.23666373462311707, -0.09900152621169885, 0.22616962185229667, 0.004405475857477355, 0.07274837830975171, 0.03310175134890502, 0.02047621674074601, -0.03796407639584754, -0.18613903960513492, 0.31146673099087774, 0.09864268429553567, 0.2553853702841587, 0.050719806957008534, 0.10189573883369404, 0.009167045655269776, 0.0031117188984588267, -0.05137039312682245, -0.0987583718140408, 0.021055656114733347, 0.21790188214471262, 0.09472006563878348, 0.27402618550945834, -0.4993105827159779, -0.2338226591987956, 0.08276995192331973, 0.12367095454015158, 0.1392026397221852, -0.06292464540675483, -0.25560632087190144, -0.04361553760545869, -0.08691765499859548, -0.15491291350855302, -0.0022094105827241573, 0.05122280875421179, 0.04973928356087536, -0.25866563547207344, 0.11984895029035146, 0.05001360662682082, -0.0007013748449984417, -0.03985040026569178, 0.027496254642403895, 0.019353276113629022, 0.05494671532263359, 0.03260886251190377, 0.043825503075695646, 0.13268768845466516, -0.09672031925129955, -0.07346347968785032, 0.3858183969453137, -0.10043940298079003, -0.09902762889067808, 0.1400840488733143, -0.23083347819184744, -0.07009114949433233, 0.18679651800262673, 0.18644200442158568, 0.10805979423144813, -0.08785983995579544, 0.030733332017897276, -0.0087707719718036, 0.22377241293709443, 0.14804981240842452, 0.035663604884037886, 0.22716095801242578, 0.19146219204350184, 0.08270551197315937, 0.1685860371016847, -0.14848468384344973, -0.0891699760361144, -0.2847014375141151, -0.12135405246649057, -0.20337606019150184, 0.019164468196811536, -0.054675581394344246, -0.19484744318861075, 0.4676069278390177, 0.11904514192413258, 0.19735030020757388, 0.002207036654625128, 0.28111147496008104, 0.18251686507175047, 0.08975735480987257, -0.009395573455940491, 0.22564286610452078, 0.13168027575418192, 0.15018798165043357, -0.30719653247875633, 0.025413953889441745, 0.03306171651278693] |
711.3103 | Phase diagram and edge effects in the ASEP with bottlenecks | We investigate the totally asymmetric simple exclusion process (TASEP) in the
presence of a bottleneck, i.e. a sequence of consecutive defect sites with
reduced hopping rate. The influence of such a bottleneck on the phase diagram
is studied by computer simulations and a novel analytical approach. We find a
clear dependence of the current and the properties of the phase diagram not
only on the length of the bottleneck, but also on its position. For bottlenecks
near the boundaries, this motivates the concept of effective boundary rates.
Furthermore the inclusion of a second, smaller bottleneck far from the first
one has no influence on the transport capacity. These results will form the
basis of an effective description of the disordered TASEP and are relevant for
the modelling of protein synthesis or intracellular transport systems where the
motion of molecular motors is hindered by immobile blocking molecules.
| nlin.CG | we investigate the totally asymmetric simple exclusion process tasep in the presence of a bottleneck ie a sequence of consecutive defect sites with reduced hopping rate the influence of such a bottleneck on the phase diagram is studied by computer simulations and a novel analytical approach we find a clear dependence of the current and the properties of the phase diagram not only on the length of the bottleneck but also on its position for bottlenecks near the boundaries this motivates the concept of effective boundary rates furthermore the inclusion of a second smaller bottleneck far from the first one has no influence on the transport capacity these results will form the basis of an effective description of the disordered tasep and are relevant for the modelling of protein synthesis or intracellular transport systems where the motion of molecular motors is hindered by immobile blocking molecules | [['we', 'investigate', 'the', 'totally', 'asymmetric', 'simple', 'exclusion', 'process', 'tasep', 'in', 'the', 'presence', 'of', 'a', 'bottleneck', 'ie', 'a', 'sequence', 'of', 'consecutive', 'defect', 'sites', 'with', 'reduced', 'hopping', 'rate', 'the', 'influence', 'of', 'such', 'a', 'bottleneck', 'on', 'the', 'phase', 'diagram', 'is', 'studied', 'by', 'computer', 'simulations', 'and', 'a', 'novel', 'analytical', 'approach', 'we', 'find', 'a', 'clear', 'dependence', 'of', 'the', 'current', 'and', 'the', 'properties', 'of', 'the', 'phase', 'diagram', 'not', 'only', 'on', 'the', 'length', 'of', 'the', 'bottleneck', 'but', 'also', 'on', 'its', 'position', 'for', 'bottlenecks', 'near', 'the', 'boundaries', 'this', 'motivates', 'the', 'concept', 'of', 'effective', 'boundary', 'rates', 'furthermore', 'the', 'inclusion', 'of', 'a', 'second', 'smaller', 'bottleneck', 'far', 'from', 'the', 'first', 'one', 'has', 'no', 'influence', 'on', 'the', 'transport', 'capacity', 'these', 'results', 'will', 'form', 'the', 'basis', 'of', 'an', 'effective', 'description', 'of', 'the', 'disordered', 'tasep', 'and', 'are', 'relevant', 'for', 'the', 'modelling', 'of', 'protein', 'synthesis', 'or', 'intracellular', 'transport', 'systems', 'where', 'the', 'motion', 'of', 'molecular', 'motors', 'is', 'hindered', 'by', 'immobile', 'blocking', 'molecules']] | [-0.16607925485124275, 0.14323426011962934, -0.048792163790395, 0.03156636216108257, -0.029503564704536484, -0.09964548251974358, 0.11814833010868998, 0.3594062619982925, -0.2814869727819364, -0.2416876171115939, 0.09465915259621298, -0.25288545002854645, -0.15933772529258508, 0.1800779157672205, -0.0014397061249713274, 0.00688791687142627, 0.07320355180784907, 0.06642721546175953, -0.03976853686856897, -0.18761891770903785, 0.29640139160639517, 0.05299899904280646, 0.2912798891025787, 0.10527159128822897, 0.08176290434274873, 0.013506804041130699, -0.008078136266056092, 0.01666806751147729, -0.16090437760959342, 0.13312264863624515, 0.16848825960187241, 0.044092751082594264, 0.23358180892832373, -0.44715887331084847, -0.2261850825719829, 0.08491648835997569, 0.176087706480558, 0.14873641062119644, -0.06676132170713112, -0.24910245339341514, 0.05323747872161258, -0.1481665549520722, -0.10449403407903746, -0.0025696292773131537, 0.03330826245197286, 0.047817926745453515, -0.21722425706046697, 0.09579995151689716, 0.0773252029903233, 0.07704993551724577, -0.049909468613443767, -0.1069773002623338, -0.01816445688257785, 0.15428234408338465, 0.001874618388334455, -0.008723949248047725, 0.16031535681694337, -0.16580538055381086, -0.10158761125775564, 0.39156183902148717, -0.03182817092133456, -0.19828022474882334, 0.22697066644857294, -0.12872138865968238, -0.11628400111468891, 0.17063813288185797, 0.14778469702586122, 0.11449223543734174, -0.17549663305933244, 0.06874847935699245, -0.01923715274969167, 0.1433328247616348, 0.03172142345343448, 0.003993085760157555, 0.21911074613437873, 0.22555328329087376, 0.06998689791621411, 0.15710082178941787, -0.11012494839785289, -0.1530973946895731, -0.27154957973844795, -0.16265529874482587, -0.19455719413235784, 0.02531315475131771, -0.09590575756947271, -0.1909894140131057, 0.3898471576003804, 0.14254835470936783, 0.21247742368922606, 0.02380716495617765, 0.28035032769588575, 0.12155831157395693, 0.057341026289752135, 0.03726233250129815, 0.19128211597235847, 0.10851499423694044, 0.08871855627592296, -0.2891916335045682, 0.125914430784776, 0.05450792584491715] |
711.3104 | Evolutionary studies of the Young Star Clusters: \\NGC 1960, NGC 2453
and NGC 2384 | We report the analysis of the young star clusters NGC 1960, NGC 2453 and NGC
2384 observed in the $J$ (1.12 $\mu$m), $H$ (1.65 $\mu$m) and $K^{'}$ (2.2
$\mu$m) bands. Estimates of reddening, distance and age as $E(B-V)=0.25$, $d=
1380$ pc and $t=31.6$ to 125 Myr for NGC 1960, $E(B-V)=0.47$, $d=3311$ pc and
$t=40$ to 200 Myr for NGC 2453 and $E(B-V)=0.25$, $d=3162$ pc and $t=55$ to 125
Myr for NGC 2384 have been obtained. Also, we have extended the
color--magnitude diagrams of these clusters to the fainter end and thus
extended the luminosity functions to fainter magnitudes. The evolution of the
main sequence and luminosity functions of these clusters have been compared
with themselves as well as Lyng\aa 2 and NGC 1582.
| astro-ph | we report the analysis of the young star clusters ngc 1960 ngc 2453 and ngc 2384 observed in the j 112 mum h 165 mum and k 22 mum bands estimates of reddening distance and age as ebv025 d 1380 pc and t316 to 125 myr for ngc 1960 ebv047 d3311 pc and t40 to 200 myr for ngc 2453 and ebv025 d3162 pc and t55 to 125 myr for ngc 2384 have been obtained also we have extended the colormagnitude diagrams of these clusters to the fainter end and thus extended the luminosity functions to fainter magnitudes the evolution of the main sequence and luminosity functions of these clusters have been compared with themselves as well as lyngaa 2 and ngc 1582 | [['we', 'report', 'the', 'analysis', 'of', 'the', 'young', 'star', 'clusters', 'ngc', '1960', 'ngc', '2453', 'and', 'ngc', '2384', 'observed', 'in', 'the', 'j', '112', 'mum', 'h', '165', 'mum', 'and', 'k', '22', 'mum', 'bands', 'estimates', 'of', 'reddening', 'distance', 'and', 'age', 'as', 'ebv025', 'd', '1380', 'pc', 'and', 't316', 'to', '125', 'myr', 'for', 'ngc', '1960', 'ebv047', 'd3311', 'pc', 'and', 't40', 'to', '200', 'myr', 'for', 'ngc', '2453', 'and', 'ebv025', 'd3162', 'pc', 'and', 't55', 'to', '125', 'myr', 'for', 'ngc', '2384', 'have', 'been', 'obtained', 'also', 'we', 'have', 'extended', 'the', 'colormagnitude', 'diagrams', 'of', 'these', 'clusters', 'to', 'the', 'fainter', 'end', 'and', 'thus', 'extended', 'the', 'luminosity', 'functions', 'to', 'fainter', 'magnitudes', 'the', 'evolution', 'of', 'the', 'main', 'sequence', 'and', 'luminosity', 'functions', 'of', 'these', 'clusters', 'have', 'been', 'compared', 'with', 'themselves', 'as', 'well', 'as', 'lyngaa', '2', 'and', 'ngc', '1582']] | [0.022585245828002184, 0.05485743640673394, -0.09254561673249986, 0.08513467481470335, -0.0636775969687887, -0.09083210075495102, 0.06182121963859773, 0.5130752145738925, -0.1245618356328647, -0.41678489921456674, 0.06824834773245947, -0.2850049366006407, 0.045734744708416826, 0.1826069951659242, -0.05453559147367664, -0.04849026247886625, 0.05911348481915134, -0.10602332501261795, -0.017679618261123107, -0.31038486593505527, 0.20102889657462553, 0.030772782771421942, 0.061026871440413216, -0.0033560711653682134, 0.03542414160595291, -0.10290538358020644, -0.043556547155445914, -0.11954153218638089, -0.23278298609400705, 0.02750693193698002, 0.24007092458906315, 0.07178447753330594, 0.23121627500691153, -0.22979157337508463, -0.13371351958741828, 0.035664475282212185, 0.2650361029683786, -0.07857149353219291, 0.020059417980581015, -0.3446951647589015, 0.1329183615744114, -0.19272859481467186, -0.18866538635940464, 0.16174119081786217, 0.1666846465500924, 9.85913704765045e-05, -0.17384260352227396, 0.22997851200550756, -0.01999097714354521, 0.18125202122412748, -0.1687552735517275, -0.25292105442386564, -0.03790530455259259, 0.08713045777847707, -0.04783976837298123, 0.17046303556190204, 0.14024893981325676, -0.0465517021336798, -0.024811615101929942, 0.36289575610751823, -0.0530727408684285, 0.14462269399062558, 0.2686946927885509, -0.17732741720421966, -0.1703087444480319, 0.07254080443595678, 0.08653949715702211, 0.11048087607122074, -0.2078154596728983, 0.0141291990669018, -0.0015830747720043537, 0.2336370222649332, 0.10561143313297781, 0.09075620027764117, 0.2099358745045581, 0.05222706211004722, -0.0018391067860648036, 0.0851787981351293, -0.31873291424649247, -0.035687604447495254, -0.19024310643800488, -0.08267580422422832, -0.04741094078497677, 0.10905245274514497, -0.1968233751286496, -0.0611844552302007, 0.28127256199230155, 0.07237479797864364, 0.2336747743180949, 0.0489114160014127, 0.19413652097790549, 0.04644054656757547, 0.17633141517358975, 0.19073420937046787, 0.2885640437272772, 0.25176434185290786, 0.08006361818288342, -0.20740208879430874, -0.006886921850648724, -0.022293953185553772] |
711.3105 | Optical properties of atomic Mott insulators: from slow light to
dynamical Casimir effects | We theoretically study the optical properties of a gas of ultracold,
coherently dressed three-level atoms in a Mott insulator phase of an optical
lattice. The vacuum state, the band dispersion and the absorption spectrum of
the polariton field can be controlled in real time by varying the amplitude and
the frequency of the dressing beam. In the weak dressing regime, the system
shows unique ultra-slow light propagation properties without absorption. In the
presence of a fast time modulation of the dressing amplitude, we predict a
significant emission of photon pairs by parametric amplification of the
polaritonic zero-point fluctuations. Quantitative considerations on the
experimental observability of such a dynamical Casimir effect are presented for
the most promising atomic species and level schemes.
| cond-mat.other | we theoretically study the optical properties of a gas of ultracold coherently dressed threelevel atoms in a mott insulator phase of an optical lattice the vacuum state the band dispersion and the absorption spectrum of the polariton field can be controlled in real time by varying the amplitude and the frequency of the dressing beam in the weak dressing regime the system shows unique ultraslow light propagation properties without absorption in the presence of a fast time modulation of the dressing amplitude we predict a significant emission of photon pairs by parametric amplification of the polaritonic zeropoint fluctuations quantitative considerations on the experimental observability of such a dynamical casimir effect are presented for the most promising atomic species and level schemes | [['we', 'theoretically', 'study', 'the', 'optical', 'properties', 'of', 'a', 'gas', 'of', 'ultracold', 'coherently', 'dressed', 'threelevel', 'atoms', 'in', 'a', 'mott', 'insulator', 'phase', 'of', 'an', 'optical', 'lattice', 'the', 'vacuum', 'state', 'the', 'band', 'dispersion', 'and', 'the', 'absorption', 'spectrum', 'of', 'the', 'polariton', 'field', 'can', 'be', 'controlled', 'in', 'real', 'time', 'by', 'varying', 'the', 'amplitude', 'and', 'the', 'frequency', 'of', 'the', 'dressing', 'beam', 'in', 'the', 'weak', 'dressing', 'regime', 'the', 'system', 'shows', 'unique', 'ultraslow', 'light', 'propagation', 'properties', 'without', 'absorption', 'in', 'the', 'presence', 'of', 'a', 'fast', 'time', 'modulation', 'of', 'the', 'dressing', 'amplitude', 'we', 'predict', 'a', 'significant', 'emission', 'of', 'photon', 'pairs', 'by', 'parametric', 'amplification', 'of', 'the', 'polaritonic', 'zeropoint', 'fluctuations', 'quantitative', 'considerations', 'on', 'the', 'experimental', 'observability', 'of', 'such', 'a', 'dynamical', 'casimir', 'effect', 'are', 'presented', 'for', 'the', 'most', 'promising', 'atomic', 'species', 'and', 'level', 'schemes']] | [-0.19461624654181195, 0.21022801473460156, -0.06510367021080075, 0.03175385783316783, -0.006728121718345595, -0.09497210542836865, 0.07935464508400476, 0.4191368024580735, -0.2536288214980217, -0.23809867834841664, 0.004407889602709685, -0.26602775197907175, -0.09183854149454389, 0.21504235278414793, 0.04877039058180141, 0.07310226585904583, 0.014271817216264807, -0.03982445500475501, -0.02765981810194371, -0.16867240385175492, 0.3168681651307655, 0.042228225618600845, 0.31282870072779084, 0.0717400146632894, 0.08074369239197536, 0.009854195787656036, 0.060286473636784826, -0.03717045600656882, -0.08570281637078228, 0.08227406987874222, 0.18507440231763567, -0.005326020704536152, 0.2185366012325341, -0.4086096011533225, -0.23466250510724676, 0.0717611658456158, 0.1546758601614197, 0.1962892378734286, -0.08096545054827439, -0.3347491319021903, -0.051584421857144715, -0.1356166379818739, -0.1724801537588485, -0.06435545267583417, 0.0031631881234520844, 0.04620341207131682, -0.23039025620149434, 0.08423296413730738, 0.018468964336707434, 0.07265999108121908, -0.06470539096034755, -0.029181225887261145, -0.036075335927307606, 0.06179108947500094, -0.02008166499743777, -0.0031813186627508657, 0.1515569829204974, -0.17781115975230932, -0.09940008283400338, 0.3974983232044846, -0.15993828229579213, -0.09702729641975573, 0.15681125623104739, -0.18469666906181254, -0.02730213417787074, 0.20082969283146307, 0.15350152585224425, 0.07476827821671224, -0.11966935998840982, 0.053175671821294644, -0.01626328971575607, 0.2328125830953325, 0.07781768537488234, 0.15034492461641957, 0.23573269767394242, 0.16232539528657583, 0.0045437581052095435, 0.1608253616776148, -0.1133967974812008, -0.05471407794509052, -0.2789723766228754, -0.14134160182939087, -0.19495306215018096, 0.04539595874149568, -0.0805673765492181, -0.1576490371087797, 0.44101491187168057, 0.13592799577125048, 0.16203132097047468, -0.06519750275933915, 0.3209824718242465, 0.19839103031164604, 0.024739882446948653, -0.008016889491541819, 0.3254762991978056, 0.16591539821194962, 0.08911124618015875, -0.37048885863551423, -0.004586227511417521, 0.016462175752813658] |
711.3106 | A threshold model of financial markets | We proposed a model of interacting market agents based on the Ising spin
model. The agents can take three actions: "buy," "sell," or "stay inactive." We
defined a price evolution in terms of the system magnetization. The model
reproduces main stylized facts of real markets such as: fat-tailed distribution
of returns and volatility clustering.
| q-fin.ST physics.soc-ph | we proposed a model of interacting market agents based on the ising spin model the agents can take three actions buy sell or stay inactive we defined a price evolution in terms of the system magnetization the model reproduces main stylized facts of real markets such as fattailed distribution of returns and volatility clustering | [['we', 'proposed', 'a', 'model', 'of', 'interacting', 'market', 'agents', 'based', 'on', 'the', 'ising', 'spin', 'model', 'the', 'agents', 'can', 'take', 'three', 'actions', 'buy', 'sell', 'or', 'stay', 'inactive', 'we', 'defined', 'a', 'price', 'evolution', 'in', 'terms', 'of', 'the', 'system', 'magnetization', 'the', 'model', 'reproduces', 'main', 'stylized', 'facts', 'of', 'real', 'markets', 'such', 'as', 'fattailed', 'distribution', 'of', 'returns', 'and', 'volatility', 'clustering']] | [-0.1221111270737041, 0.09943190130784556, -0.10976800981357142, 0.15803104471760215, -0.08642868594162995, -0.1712990083248803, 0.06497243560712647, 0.4253461449234574, -0.24452505885037007, -0.26137486446101255, 0.08934556214026762, -0.3614806733051039, -0.13997475110873994, 0.1262114690789194, -0.09035078269705453, -0.01689833143932952, -0.03180166126953231, 0.046221456011860736, 0.08749354646230738, -0.3400518116713674, 0.2684229768002061, -0.02322324057523575, 0.25878988949719955, -0.03051825813707654, 0.18188334390072636, 0.01776431722100824, 0.023770816615541226, 0.00955528367517723, -0.08492598363577768, 0.10151530296921178, 0.22623177079690826, 0.07164882402004744, 0.30616791222106526, -0.461756095290184, -0.16415947097940026, 0.14868369087128452, 0.08895870046345172, 0.00806015381520545, 0.07409533338957569, -0.2674073895646466, -0.04031187599455869, -0.2845937747732495, -0.10382769498284217, -0.1235403716046777, -0.02936856049388923, 0.077244290754337, -0.3033583440507452, 0.05399954327623601, 0.07240292857642527, 0.0316407121205918, -0.14349589965961598, -0.09148987948989358, -0.08708560958297716, 0.21188154192727612, 0.10979417629790043, -0.09784846963291918, 0.20538957160035218, -0.1429994507106366, -0.2459023624865545, 0.40501401018075367, -0.07047000223408556, -0.13824126579695278, 0.11803167747523359, -0.17358835458893468, -0.10098592859382431, 0.058695144278721675, 0.22484974456192167, 0.04056481779035595, -0.15838589772357847, 0.040129175201636155, -0.10763951361662259, 0.16812364912281433, -0.006163268690687363, -0.02834289489934842, 0.242130890764572, 0.2532008074017035, 0.08384520689422195, 0.11200513786644917, -0.025335387218985015, -0.2511450137115187, -0.25966171734035015, -0.10405242941514761, -0.2324251511686102, 0.08046029859946834, -0.18258832675308911, -0.19945882042197305, 0.4377538232020689, 0.21149966254381947, 0.19809304019091306, 0.12541585867034477, 0.29618356842547655, 0.11493435777784153, -0.019066206688337303, 0.10584541898289765, 0.09345208800018386, -0.015045779739954957, 0.14092616396266278, -0.16323945250500133, 0.23338042951568408, 0.042436236774341926] |
711.3107 | The theta parameter in loop quantum gravity: effects on quantum geometry
and black hole entropy | The precise analog of the theta-quantization ambiguity of Yang-Mills theory
exists for the real SU(2) connection formulation of general relativity. As in
the former case theta labels representations of large gauge transformations,
which are super-selection sectors in loop quantum gravity. We show that unless
theta=0, the (kinematical) geometric operators such as area and volume are not
well defined on spin network states. More precisely the intersection of their
domain with the dense set Cyl in the kinematical Hilbert space H of loop
quantum gravity is empty. The absence of a well defined notion of area operator
acting on spin network states seems at first in conflict with the expected
finite black hole entropy. However, we show that the black hole (isolated)
horizon area--which in contrast to kinematical area is a (Dirac) physical
observable--is indeed well defined, and quantized so that the black hole
entropy is proportional to the area. The effect of theta is negligible in the
semiclassical limit where proportionality to area holds.
| gr-qc | the precise analog of the thetaquantization ambiguity of yangmills theory exists for the real su2 connection formulation of general relativity as in the former case theta labels representations of large gauge transformations which are superselection sectors in loop quantum gravity we show that unless theta0 the kinematical geometric operators such as area and volume are not well defined on spin network states more precisely the intersection of their domain with the dense set cyl in the kinematical hilbert space h of loop quantum gravity is empty the absence of a well defined notion of area operator acting on spin network states seems at first in conflict with the expected finite black hole entropy however we show that the black hole isolated horizon areawhich in contrast to kinematical area is a dirac physical observableis indeed well defined and quantized so that the black hole entropy is proportional to the area the effect of theta is negligible in the semiclassical limit where proportionality to area holds | [['the', 'precise', 'analog', 'of', 'the', 'thetaquantization', 'ambiguity', 'of', 'yangmills', 'theory', 'exists', 'for', 'the', 'real', 'su2', 'connection', 'formulation', 'of', 'general', 'relativity', 'as', 'in', 'the', 'former', 'case', 'theta', 'labels', 'representations', 'of', 'large', 'gauge', 'transformations', 'which', 'are', 'superselection', 'sectors', 'in', 'loop', 'quantum', 'gravity', 'we', 'show', 'that', 'unless', 'theta0', 'the', 'kinematical', 'geometric', 'operators', 'such', 'as', 'area', 'and', 'volume', 'are', 'not', 'well', 'defined', 'on', 'spin', 'network', 'states', 'more', 'precisely', 'the', 'intersection', 'of', 'their', 'domain', 'with', 'the', 'dense', 'set', 'cyl', 'in', 'the', 'kinematical', 'hilbert', 'space', 'h', 'of', 'loop', 'quantum', 'gravity', 'is', 'empty', 'the', 'absence', 'of', 'a', 'well', 'defined', 'notion', 'of', 'area', 'operator', 'acting', 'on', 'spin', 'network', 'states', 'seems', 'at', 'first', 'in', 'conflict', 'with', 'the', 'expected', 'finite', 'black', 'hole', 'entropy', 'however', 'we', 'show', 'that', 'the', 'black', 'hole', 'isolated', 'horizon', 'areawhich', 'in', 'contrast', 'to', 'kinematical', 'area', 'is', 'a', 'dirac', 'physical', 'observableis', 'indeed', 'well', 'defined', 'and', 'quantized', 'so', 'that', 'the', 'black', 'hole', 'entropy', 'is', 'proportional', 'to', 'the', 'area', 'the', 'effect', 'of', 'theta', 'is', 'negligible', 'in', 'the', 'semiclassical', 'limit', 'where', 'proportionality', 'to', 'area', 'holds']] | [-0.16918139589403797, 0.15266906256029694, -0.06071945492131925, 0.10985321437026033, -0.07408297911824323, -0.12460712318146683, 0.0249502668092143, 0.31976129756864413, -0.22758291413290252, -0.26551188388550134, 0.09119469681841477, -0.28919520428670303, -0.1325140114648048, 0.15901355872867826, -0.10253997834873681, 0.05418568720132899, -0.002926552419475517, 0.10452155932865065, -0.10181122112539105, -0.21865964983734562, 0.3826380800079809, 0.03124812563956478, 0.25586966145783663, 0.05051320565138475, 0.11288939622629966, 0.014336292634816459, 0.012739946302142202, 0.08407383125332496, -0.10075239588354493, 0.06655863942455512, 0.24901784450717426, 0.08477789574007717, 0.19392982839537287, -0.39308269254238526, -0.20576029002770596, 0.10178853880891704, 0.12461201614347396, 0.08932764889305075, -0.005320236576820134, -0.2679526320649947, 0.03321047557043548, -0.18366374439843322, -0.14116083514827493, -0.04094736407343182, 0.054842526874047996, -0.09347311464378391, -0.21434507789437351, 0.0940567532489915, 0.04971757514499162, 0.00925083852934171, -0.04480351632322121, -0.05792961561016924, -0.07719962449993083, 0.11562884390145911, 0.06069216448293062, 0.06542680684046137, 0.1589510745906867, -0.1286078935824566, -0.11397854129419378, 0.37226355717928145, -0.04139712109824828, -0.2321741862673752, 0.14961303455949623, -0.25302867535848794, -0.1223807038033601, 0.0603103128070972, 0.09802687458798104, 0.15477457066407854, -0.0904827911402417, 0.18461922609886466, -0.0631038626389844, 0.11712775776460652, 0.08134583337521702, 0.10292517604712709, 0.2676512722955635, 0.10292832183171503, 0.1010455291816583, 0.12835310952794327, -0.058764879172017094, -0.16617851420045363, -0.38673780202541663, -0.17462405615474635, -0.1975100688702826, 0.10095813732909875, -0.11891691006415651, -0.1910502857077427, 0.30929929854186333, 0.07665605376104344, 0.18637469750453042, 0.049715104413808824, 0.2412912243050205, 0.10761173610202751, 0.08765010810630708, 0.07968508708665852, 0.253612610126805, 0.15171612950435243, 0.0707742602228887, -0.24118996784669458, -0.017196862423295003, 0.1009035435106073] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.