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709.4635 | Color superconductivity in dense quark matter | Matter at high density and low temperature is expected to be a color
superconductor, which is a degenerate Fermi gas of quarks with a condensate of
Cooper pairs near the Fermi surface that induces color Meissner effects. At the
highest densities, where the QCD coupling is weak, rigorous calculations are
possible, and the ground state is a particularly symmetric state, the
color-flavor locked (CFL) phase. The CFL phase is a superfluid, an
electromagnetic insulator, and breaks chiral symmetry. The effective theory of
the low-energy excitations in the CFL phase is known and can be used, even at
more moderate densities, to describe its physical properties. At lower
densities the CFL phase may be disfavored by stresses that seek to separate the
Fermi surfaces of the different flavors, and comparison with the competing
alternative phases, which may break translation and/or rotation invariance, is
done using phenomenological models. We review the calculations that underlie
these results, and then discuss transport properties of several
color-superconducting phases and their consequences for signatures of color
superconductivity in neutron stars.
| hep-ph astro-ph cond-mat.supr-con nucl-th | matter at high density and low temperature is expected to be a color superconductor which is a degenerate fermi gas of quarks with a condensate of cooper pairs near the fermi surface that induces color meissner effects at the highest densities where the qcd coupling is weak rigorous calculations are possible and the ground state is a particularly symmetric state the colorflavor locked cfl phase the cfl phase is a superfluid an electromagnetic insulator and breaks chiral symmetry the effective theory of the lowenergy excitations in the cfl phase is known and can be used even at more moderate densities to describe its physical properties at lower densities the cfl phase may be disfavored by stresses that seek to separate the fermi surfaces of the different flavors and comparison with the competing alternative phases which may break translation andor rotation invariance is done using phenomenological models we review the calculations that underlie these results and then discuss transport properties of several colorsuperconducting phases and their consequences for signatures of color superconductivity in neutron stars | [['matter', 'at', 'high', 'density', 'and', 'low', 'temperature', 'is', 'expected', 'to', 'be', 'a', 'color', 'superconductor', 'which', 'is', 'a', 'degenerate', 'fermi', 'gas', 'of', 'quarks', 'with', 'a', 'condensate', 'of', 'cooper', 'pairs', 'near', 'the', 'fermi', 'surface', 'that', 'induces', 'color', 'meissner', 'effects', 'at', 'the', 'highest', 'densities', 'where', 'the', 'qcd', 'coupling', 'is', 'weak', 'rigorous', 'calculations', 'are', 'possible', 'and', 'the', 'ground', 'state', 'is', 'a', 'particularly', 'symmetric', 'state', 'the', 'colorflavor', 'locked', 'cfl', 'phase', 'the', 'cfl', 'phase', 'is', 'a', 'superfluid', 'an', 'electromagnetic', 'insulator', 'and', 'breaks', 'chiral', 'symmetry', 'the', 'effective', 'theory', 'of', 'the', 'lowenergy', 'excitations', 'in', 'the', 'cfl', 'phase', 'is', 'known', 'and', 'can', 'be', 'used', 'even', 'at', 'more', 'moderate', 'densities', 'to', 'describe', 'its', 'physical', 'properties', 'at', 'lower', 'densities', 'the', 'cfl', 'phase', 'may', 'be', 'disfavored', 'by', 'stresses', 'that', 'seek', 'to', 'separate', 'the', 'fermi', 'surfaces', 'of', 'the', 'different', 'flavors', 'and', 'comparison', 'with', 'the', 'competing', 'alternative', 'phases', 'which', 'may', 'break', 'translation', 'andor', 'rotation', 'invariance', 'is', 'done', 'using', 'phenomenological', 'models', 'we', 'review', 'the', 'calculations', 'that', 'underlie', 'these', 'results', 'and', 'then', 'discuss', 'transport', 'properties', 'of', 'several', 'colorsuperconducting', 'phases', 'and', 'their', 'consequences', 'for', 'signatures', 'of', 'color', 'superconductivity', 'in', 'neutron', 'stars']] | [-0.15633965281457854, 0.30064794436793296, -0.133136860750637, 0.10572205876982396, -0.06834615398085965, -0.11212425169952471, 0.0942682950595533, 0.35235952342935334, -0.2032646216992717, -0.28858899217280937, 0.04192705697717209, -0.2866883117186398, -0.04652315513337909, 0.09881413331919017, 0.0027647486903929503, 0.022566620345781396, -0.039490249291619005, -0.007922869379064817, -0.17978550030497953, -0.22375253429060973, 0.33334706280375137, -0.00805042523505359, 0.3186020040443039, 0.09423034516064151, 0.03223160794807662, -0.07680727685259751, 0.07767571872581952, 0.0036724105841298214, -0.11463936929648372, 0.012707130381323654, 0.2421538095687151, -0.02959759978058309, 0.13775533504098997, -0.43993031442293834, -0.22483987611686362, 0.0803247227382996, 0.09374916879727838, 0.16106015928330478, -0.05920067381546311, -0.2853682612325868, 0.0633405221595386, -0.18248288489171657, -0.16925257718158437, -0.1297427224819602, -0.016313949982560742, -0.02194499984469222, -0.23709905505362341, 0.09664618272094147, 0.03670472446186789, 0.03646571064378261, -0.05222773536753402, -0.12421084716701987, -0.09842458755131168, 0.055691457080558456, 0.05913069624930149, 0.07853317921900929, 0.11628982449156479, -0.22269083985031166, -0.05611580410094439, 0.4304720884504803, -0.045633296744533994, -0.1169751786570675, 0.2393399255575034, -0.14793642943249294, -0.1099640029327323, 0.16600028094675007, 0.10631790889016267, 0.10629048105463086, -0.1109287958811626, 0.04738851622112989, -0.0179706195833686, 0.16684774043514852, 0.03800624416975155, 0.07639606325384016, 0.32266742226014705, 0.17897453720028372, 0.0385373216149151, 0.10527486363144849, -0.11761758012105657, -0.07435889573180353, -0.3135277927376801, -0.12528695331099604, -0.1821162811782875, -0.009316204270968834, -0.03724829210289594, -0.12949546044638874, 0.3808008345411341, 0.11686873700919337, 0.18278883997051196, -0.02910758039898014, 0.2728929877596982, 0.13131504324023965, 0.062112930114381015, 0.0657425360813009, 0.2741479006189125, 0.17176904519899458, 0.060513752030915226, -0.28996646449762, 0.028365418191827918, 0.06609517970555943] |
709.4636 | Gauge-invariant coherent states for Loop Quantum Gravity II: Non-abelian
gauge groups | This is the second paper concerning gauge-invariant coherent states for Loop
Quantum Gravity. Here, we deal with the gauge group SU(2), this being a
significant complication compared to the abelian U(1) case encountered in the
previous article. We study gauge-invariant coherent states on certain special
graphs by analytical and numerical methods. We find that their overlap is
Gauss-peaked in gauge-invariant quantities, as long as states are not labeled
by degenerate gauge orbits, i.e. points where the gauge-invariant configuration
space has singularities. In these cases the overlaps are still concentrated
around these points, but the peak profile exhibits a plateau structure. This
shows how the semiclassical properties of the states are influenced by the
geometry of the gauge-invariant phase space.
| gr-qc | this is the second paper concerning gaugeinvariant coherent states for loop quantum gravity here we deal with the gauge group su2 this being a significant complication compared to the abelian u1 case encountered in the previous article we study gaugeinvariant coherent states on certain special graphs by analytical and numerical methods we find that their overlap is gausspeaked in gaugeinvariant quantities as long as states are not labeled by degenerate gauge orbits ie points where the gaugeinvariant configuration space has singularities in these cases the overlaps are still concentrated around these points but the peak profile exhibits a plateau structure this shows how the semiclassical properties of the states are influenced by the geometry of the gaugeinvariant phase space | [['this', 'is', 'the', 'second', 'paper', 'concerning', 'gaugeinvariant', 'coherent', 'states', 'for', 'loop', 'quantum', 'gravity', 'here', 'we', 'deal', 'with', 'the', 'gauge', 'group', 'su2', 'this', 'being', 'a', 'significant', 'complication', 'compared', 'to', 'the', 'abelian', 'u1', 'case', 'encountered', 'in', 'the', 'previous', 'article', 'we', 'study', 'gaugeinvariant', 'coherent', 'states', 'on', 'certain', 'special', 'graphs', 'by', 'analytical', 'and', 'numerical', 'methods', 'we', 'find', 'that', 'their', 'overlap', 'is', 'gausspeaked', 'in', 'gaugeinvariant', 'quantities', 'as', 'long', 'as', 'states', 'are', 'not', 'labeled', 'by', 'degenerate', 'gauge', 'orbits', 'ie', 'points', 'where', 'the', 'gaugeinvariant', 'configuration', 'space', 'has', 'singularities', 'in', 'these', 'cases', 'the', 'overlaps', 'are', 'still', 'concentrated', 'around', 'these', 'points', 'but', 'the', 'peak', 'profile', 'exhibits', 'a', 'plateau', 'structure', 'this', 'shows', 'how', 'the', 'semiclassical', 'properties', 'of', 'the', 'states', 'are', 'influenced', 'by', 'the', 'geometry', 'of', 'the', 'gaugeinvariant', 'phase', 'space']] | [-0.18156869583013388, 0.18687841439791322, -0.0790496202900027, 0.1009576874656871, -0.05600874880881254, -0.08240972308568277, 0.017637976256822695, 0.3810419284233476, -0.19753170177593068, -0.24586431662378422, 0.08569956530907617, -0.28303879623940625, -0.1532780208143453, 0.13257342642488873, -0.08147001251779591, 0.034437839612680474, 0.051562089544042185, 0.044412262478282956, -0.10826914691883219, -0.23798960621243784, 0.396467522307599, -0.0031616400613575795, 0.24561268894270188, 0.01575259740417034, 0.07768107505941416, -0.017543676115919726, -0.006237633499194537, 0.026341654126091747, -0.10007182401201689, 0.07555850416025289, 0.25251306459639156, 0.029981755087215265, 0.21243990757068523, -0.41268754522395085, -0.21884994358475462, 0.09439943768320826, 0.15333323904078344, 0.14914910899380507, -0.010770063461554315, -0.30296697144562346, 0.03928774904649136, -0.16323906259406043, -0.1553035389801677, -0.12939609601793778, 0.0017004812657201694, -0.048892240969353684, -0.19081232244774335, 0.10381200585920775, 0.030114114616003076, 0.052870407511117094, -0.03231239371135894, -0.07974589490963115, -0.05730825066724318, 0.09741508606742373, 0.07018652984919815, 0.04345880912999638, 0.08909145806189943, -0.16641621075578475, -0.12356824421529043, 0.37691853438519823, -0.03489608818791428, -0.21063209583951256, 0.1495283689812098, -0.17688731054659002, -0.165581389868995, 0.10776513868694242, 0.09563709079619434, 0.1734990460040458, -0.10744854109411096, 0.1451659300793712, -0.0730954435618468, 0.1081251372016919, 0.070313193778097, 0.0756038039472838, 0.22189628769312117, 0.06705158566898209, 0.06523313044897928, 0.13843754097923905, -0.023967288665362966, -0.15863406801028018, -0.36525751154680375, -0.11623314708881712, -0.16223053794583084, 0.06184053321389217, -0.0475104170637077, -0.19669826442407348, 0.43938184405629666, 0.1260878055719501, 0.1925181417875939, 0.011921418378903073, 0.2578576743855315, 0.13186345076369974, 0.05345600233926296, 0.07034522184403613, 0.27042615900834294, 0.14028597757086095, 0.052874500470599, -0.21399210603592989, 0.0021573177152076515, 0.07194225511403154] |
709.4637 | SU(4)_C X SU(2)_L X SU(2)_R Models With C-parity | We construct supersymmetric SU(4)_C X SU(2)_L X SU(2)_R models with
spontaneously broken left-right symmetry (C-parity). The minimal supersymmetric
standard model (MSSM) can be recovered at low scales by exploiting the missing
partner mechanism. The field content is compatible with realistic fermion
masses and mixings, proton lifetime is close to or exceeds the current
experimental bounds, and supersymmetric hybrid inflation can be implemented to
take care of C-parity domain walls as well as magnetic monopoles, and to
realize the observed baryon asymmetry via non-thermal leptogenesis.
| hep-ph | we construct supersymmetric su4_c x su2_l x su2_r models with spontaneously broken leftright symmetry cparity the minimal supersymmetric standard model mssm can be recovered at low scales by exploiting the missing partner mechanism the field content is compatible with realistic fermion masses and mixings proton lifetime is close to or exceeds the current experimental bounds and supersymmetric hybrid inflation can be implemented to take care of cparity domain walls as well as magnetic monopoles and to realize the observed baryon asymmetry via nonthermal leptogenesis | [['we', 'construct', 'supersymmetric', 'su4_c', 'x', 'su2_l', 'x', 'su2_r', 'models', 'with', 'spontaneously', 'broken', 'leftright', 'symmetry', 'cparity', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'can', 'be', 'recovered', 'at', 'low', 'scales', 'by', 'exploiting', 'the', 'missing', 'partner', 'mechanism', 'the', 'field', 'content', 'is', 'compatible', 'with', 'realistic', 'fermion', 'masses', 'and', 'mixings', 'proton', 'lifetime', 'is', 'close', 'to', 'or', 'exceeds', 'the', 'current', 'experimental', 'bounds', 'and', 'supersymmetric', 'hybrid', 'inflation', 'can', 'be', 'implemented', 'to', 'take', 'care', 'of', 'cparity', 'domain', 'walls', 'as', 'well', 'as', 'magnetic', 'monopoles', 'and', 'to', 'realize', 'the', 'observed', 'baryon', 'asymmetry', 'via', 'nonthermal', 'leptogenesis']] | [-0.11196974322887226, 0.30942800721996244, 0.006356567593424448, 0.20802485261707002, -0.12522406499400468, -0.23392092477228116, 0.005673697451129556, 0.368116152500512, -0.21098056899028875, -0.3310089403738467, 0.07089747113475044, -0.2416548936965964, 0.029565613578944022, 0.048897136274414756, -0.0056100050209178815, 0.023719573149546272, -0.03316468617413193, 0.004419938871814381, -0.059050626447493586, -0.20094510950591593, 0.23145140398160688, -0.0015255487995177862, 0.2687867729192866, 0.07199859365244352, 0.09142673657403239, -0.06208206768635483, 0.08428933919363078, -0.10288108681284246, -0.0633258152118374, 0.039012354089035875, 0.17202123167143804, 0.04447970728922103, 0.02910362876996043, -0.45544143455723923, -0.21674724239190774, 0.22519763268619067, 0.20881914365149679, 0.11711450395107802, -0.07167032835700195, -0.35144627852631466, 0.13343652650725008, -0.2239768649673178, -0.1417675943091689, -0.12034221995799314, -0.08549579798238396, -0.16420479169825003, -0.3699208719966312, 0.13206996940668128, -0.10516485673724674, -0.0005146207265733253, 0.002577078639573994, -0.14410512647979581, -0.16505888383558376, -0.01891229147302164, 0.20276823541609615, 0.05345537181433645, 0.21571383591314466, -0.1489506138909963, -0.1778457872957612, 0.433367992795649, -0.08699666677663724, -0.17616790546370403, 0.10718382482549974, -0.14181273290333116, -0.1377464203452248, 0.10670630748860449, 0.13924618330340655, 0.0750707861401939, -0.13939701160416007, 0.21867987187683216, -0.048440603578152754, 0.15506833155329028, 0.03986222323839597, 0.05216571092162104, 0.3232770025441867, 0.21450744890829637, 0.012204710363654331, 0.052387202732331516, -0.01832074036688677, -0.09716696919695962, -0.41139157049890074, -0.07512710429728031, -0.1299864928504186, 0.0731538560829081, -0.06399675123785051, -0.049768432563204054, 0.4031706569727421, 0.12709800352431125, 0.24711955842074185, 0.0359766314975873, 0.27782807465631604, 0.08246922151218834, 0.13939472753554583, -0.006728479962995542, 0.21680551400918158, 0.13134183435163105, 0.11205733767599754, -0.2540691397928943, -0.06296289938923326, 0.06980878730454217] |
709.4638 | Multiparticle SUSY simulations at LHC & ILC: Off-Shell effects,
interferences and radiative corrections | The interesting but difficult phenomenology of supersymmetric models at the
LHC and ILC demands a corresponding complexity and maturity from simulation
tools. This includes multi-particle final states, reducible and irreducible
backgrounds, spin correlations, real emission of photons and gluons, virtual
corrections etc. Most of these topics are included in the multi-particle Monte
Carlo (MC) Event generators Madgraph, WHIZARD and Sherpa. A comparison of these
codes is shown, with a special focus on the new release of WHIZARD. I show
examples for the necessity of considering full matrix elements with all
off-shell effects and interferences for multi-particle final states in
supersymmetric models and give a status report on ongoing projects for
simulations of SUSY processes at the LHC with these codes, including all of the
abovementioned corrections.
| hep-ph | the interesting but difficult phenomenology of supersymmetric models at the lhc and ilc demands a corresponding complexity and maturity from simulation tools this includes multiparticle final states reducible and irreducible backgrounds spin correlations real emission of photons and gluons virtual corrections etc most of these topics are included in the multiparticle monte carlo mc event generators madgraph whizard and sherpa a comparison of these codes is shown with a special focus on the new release of whizard i show examples for the necessity of considering full matrix elements with all offshell effects and interferences for multiparticle final states in supersymmetric models and give a status report on ongoing projects for simulations of susy processes at the lhc with these codes including all of the abovementioned corrections | [['the', 'interesting', 'but', 'difficult', 'phenomenology', 'of', 'supersymmetric', 'models', 'at', 'the', 'lhc', 'and', 'ilc', 'demands', 'a', 'corresponding', 'complexity', 'and', 'maturity', 'from', 'simulation', 'tools', 'this', 'includes', 'multiparticle', 'final', 'states', 'reducible', 'and', 'irreducible', 'backgrounds', 'spin', 'correlations', 'real', 'emission', 'of', 'photons', 'and', 'gluons', 'virtual', 'corrections', 'etc', 'most', 'of', 'these', 'topics', 'are', 'included', 'in', 'the', 'multiparticle', 'monte', 'carlo', 'mc', 'event', 'generators', 'madgraph', 'whizard', 'and', 'sherpa', 'a', 'comparison', 'of', 'these', 'codes', 'is', 'shown', 'with', 'a', 'special', 'focus', 'on', 'the', 'new', 'release', 'of', 'whizard', 'i', 'show', 'examples', 'for', 'the', 'necessity', 'of', 'considering', 'full', 'matrix', 'elements', 'with', 'all', 'offshell', 'effects', 'and', 'interferences', 'for', 'multiparticle', 'final', 'states', 'in', 'supersymmetric', 'models', 'and', 'give', 'a', 'status', 'report', 'on', 'ongoing', 'projects', 'for', 'simulations', 'of', 'susy', 'processes', 'at', 'the', 'lhc', 'with', 'these', 'codes', 'including', 'all', 'of', 'the', 'abovementioned', 'corrections']] | [-0.06913859767207343, 0.17428762963437106, -0.05398813351648786, 0.16883377431492722, -0.005865963460463617, -0.1399996773901558, -0.03285645963328462, 0.3558786246770372, -0.18511956471613505, -0.27883843880974585, 0.07260489686103981, -0.34349393944204265, -0.05960490980318615, 0.20218707156914567, 0.03148836860551484, 0.10848858879346933, 0.17164665752918357, -0.037757357486361075, -0.1017675895432365, -0.261328813105744, 0.3042713537117437, 0.09400012976829968, 0.19407834024685952, 0.09444428776716074, 0.11401070204252998, 0.05670247176183491, -0.10836066079828592, -0.059913599379508506, -0.11494360181931702, 0.07812672098941495, 0.2744332481172081, 0.12833075364312482, 0.12488367094007867, -0.4109401601174521, -0.14153807354159653, 0.0982602627445308, 0.12569659065994773, 0.1530838719084545, -0.051739276322122246, -0.28997500000026316, 0.035823754239125205, -0.26164729156280087, -0.09045961207251936, -0.05896601898203944, -0.007858210213718906, -0.01894474042106479, -0.2748926873023193, 0.015922546935995804, -0.016201656052125767, 0.06111139668075974, 0.044833024778950306, -0.19038870863039933, -0.06815375059857846, 0.08162802510011556, 0.05273662249295277, -0.028148673426744247, 0.12721302118226294, -0.18583325756942884, -0.2577790541940236, 0.3740902980937371, 0.03518236059296344, -0.1879430414502701, 0.21032232300947523, -0.15906864743945853, -0.20709558351275822, 0.1581635903687187, 0.22398534732028133, 0.0921848014935792, -0.15067129576623084, 0.1616132586962536, 0.05456108901472319, 0.121357421863765, -0.025345225193877777, 0.07649095444792202, 0.2083651528043288, 0.16602589690314962, -0.046258461912946094, 0.14360013850668948, -0.026690439600127912, -0.10259011696048435, -0.44604772168196855, -0.1310714508244206, -0.08880604128168511, 0.037379720865467946, -0.07074970087428699, -0.14331697324537562, 0.4083227617647647, 0.1694814058331152, 0.137812155455957, 0.05755461470430924, 0.29338666231792776, 0.03761813184985566, 0.07597713946690043, 0.06284456195989771, 0.21793047743775543, 0.1209055462977775, 0.09264955280851277, -0.21809526706402677, 0.009563908640605709, 0.07651680363120422] |
709.4639 | Hadronic loop contributions to $J/\psi$ and $\psi^\prime$ radiative
decays into $\gamma\eta_c$ or $\gamma\eta_c^\prime$ | Intermediate hadronic meson loop contributions to $J/\psi$, $\psi^\prime \to
\gamma\eta_c$ ($\gamma\eta_c^\prime$) are studied apart from the dominant M1
transitions in an effective Lagrangian approach. Due to the property of the
unique antisymmetric tensor coupling in $V\to VP$, the hadronic loop
transitions provide explicit corrections to the M1 transition amplitudes
derived from the naive "quenched" $c\bar{c}$ transitions via the coupling form
factors. This mechanism interfering with the M1 transition amplitudes naturally
accounts for the deviations from the Godfrey-Isgur model predictions in
$J/\psi$ and $\psi^\prime\to \gamma\eta_c$. It also predicts a small branching
ratio of $\psi^\prime\to \gamma\eta_c^\prime$, which can be examined by
experimental measurements at BES and CLEO-c.
| hep-ph | intermediate hadronic meson loop contributions to jpsi psiprime to gammaeta_c gammaeta_cprime are studied apart from the dominant m1 transitions in an effective lagrangian approach due to the property of the unique antisymmetric tensor coupling in vto vp the hadronic loop transitions provide explicit corrections to the m1 transition amplitudes derived from the naive quenched cbarc transitions via the coupling form factors this mechanism interfering with the m1 transition amplitudes naturally accounts for the deviations from the godfreyisgur model predictions in jpsi and psiprimeto gammaeta_c it also predicts a small branching ratio of psiprimeto gammaeta_cprime which can be examined by experimental measurements at bes and cleoc | [['intermediate', 'hadronic', 'meson', 'loop', 'contributions', 'to', 'jpsi', 'psiprime', 'to', 'gammaeta_c', 'gammaeta_cprime', 'are', 'studied', 'apart', 'from', 'the', 'dominant', 'm1', 'transitions', 'in', 'an', 'effective', 'lagrangian', 'approach', 'due', 'to', 'the', 'property', 'of', 'the', 'unique', 'antisymmetric', 'tensor', 'coupling', 'in', 'vto', 'vp', 'the', 'hadronic', 'loop', 'transitions', 'provide', 'explicit', 'corrections', 'to', 'the', 'm1', 'transition', 'amplitudes', 'derived', 'from', 'the', 'naive', 'quenched', 'cbarc', 'transitions', 'via', 'the', 'coupling', 'form', 'factors', 'this', 'mechanism', 'interfering', 'with', 'the', 'm1', 'transition', 'amplitudes', 'naturally', 'accounts', 'for', 'the', 'deviations', 'from', 'the', 'godfreyisgur', 'model', 'predictions', 'in', 'jpsi', 'and', 'psiprimeto', 'gammaeta_c', 'it', 'also', 'predicts', 'a', 'small', 'branching', 'ratio', 'of', 'psiprimeto', 'gammaeta_cprime', 'which', 'can', 'be', 'examined', 'by', 'experimental', 'measurements', 'at', 'bes', 'and', 'cleoc']] | [-0.09770928755058862, 0.2529572564100991, -0.08390369219705462, 0.13801418364469317, -0.033463022055193074, -0.13978690573768246, 0.08233184349900555, 0.28471922535848404, -0.19275575440731788, -0.21105837444109576, -0.05007251804373005, -0.3283818798450132, -0.07695970076712824, 0.08252036490122833, 0.10862576557944219, 0.0516080637129822, 0.057195003630061234, 0.014934761660628109, -0.036838780396750995, -0.09029651562284147, 0.267215098751088, 0.005110706575214863, 0.2275425647607162, 0.1058078413513223, -0.0029792139062746648, -0.026546840502747467, 0.002657292313164189, -0.06058938680660157, -0.1478068336445306, 0.03044339927312519, 0.2739166287372687, 0.0444596573799139, 0.08466462723556019, -0.3370584660520156, -0.09014645229492868, 0.097380579462541, 0.1605706681940882, 0.12079237353921468, 0.01982012101936908, -0.3573604903405621, 0.10491252139742885, -0.18578566232962268, -0.06843186674107399, -0.10306640932602541, 0.034390425384931624, -0.09728605086649103, -0.38726237426024107, 0.08327088680484199, -0.01625438772496723, 0.004136638875518526, -0.01843875827977345, -0.22992165507748724, -0.04006184403828922, 0.10199560901327502, 0.10754847738758794, 0.11326179463593733, 0.14397400650472958, -0.13245332229305945, -0.15996654955559367, 0.409702376910441, -0.0818749825248406, -0.11793431996234825, 0.09131842966280168, -0.1802921191478769, -0.14482921795209958, 0.24045751746743918, 0.17645462674221823, 0.03765078971101459, -0.16392792744473333, 0.08713098594896673, 0.05193743391760758, 0.13150713359937072, 0.07240021077117749, 0.06399450758028598, 0.13168289372253986, 0.10382137275522664, -0.09466029397611107, 0.0971226404321247, -0.05301880558863992, -0.11660228937509515, -0.3661099762345354, -0.06963241626286791, -0.06349463799325306, 0.09292673142183394, -0.08992993343771169, -0.08148188407399824, 0.32678997306751884, 0.040341702946239996, 0.261184636991848, 0.012138014848876213, 0.3125600581633903, 0.12400202553253621, 0.06427539091645962, 0.04626080452331475, 0.354794079978906, 0.23599533261066036, 0.10704088286895837, -0.31163813709946614, 0.04752538896919716, 0.06521214605087326] |
709.464 | Two populations are better than one: Short gamma-ray bursts from SGR
giant flares and NS-NS mergers | With a peak luminosity of ~10^47 erg/s, the December 27th 2004 giant flare
from SGR1806-20 would have been visible by BATSE (the Burst and Transient
Source Experiment) out to ~50 Mpc. It is thus plausible that some fraction of
the short duration Gamma-Ray Bursts (sGRBs) in the BATSE catalogue were due to
extragalactic magnetar giant flares. According to the most widely accepted
current models, the remaining BATSE sGRBs were most likely produced by compact
object (neutron star-neutron star or neutron star-black hole) mergers with
intrinsically higher luminosities. Previously, by examining correlations on the
sky between BATSE sGRBs and galaxies within 155 Mpc, we placed limits on the
proportion of nearby sGRBs. Here, we examine the redshift distribution of sGRBs
produced by assuming both one and two populations of progenitor with separate
Luminosity Functions (LFs). Using the local Galactic SGR giant flare rate and
theoretical NS-NS merger rates evolved according to well-known Star Formation
Rate parameterisations, we constrain the predicted distributions by BATSE sGRB
overall number counts. We show that only a dual population consisting of both
SGR giant flares and NS-NS mergers can reproduce the likely local distribution
of sGRBs as well as the overall number counts. In addition, the best fit LF
parameters of both sub-populations are in good agreement with observed
luminosities.
| astro-ph | with a peak luminosity of 1047 ergs the december 27th 2004 giant flare from sgr180620 would have been visible by batse the burst and transient source experiment out to 50 mpc it is thus plausible that some fraction of the short duration gammaray bursts sgrbs in the batse catalogue were due to extragalactic magnetar giant flares according to the most widely accepted current models the remaining batse sgrbs were most likely produced by compact object neutron starneutron star or neutron starblack hole mergers with intrinsically higher luminosities previously by examining correlations on the sky between batse sgrbs and galaxies within 155 mpc we placed limits on the proportion of nearby sgrbs here we examine the redshift distribution of sgrbs produced by assuming both one and two populations of progenitor with separate luminosity functions lfs using the local galactic sgr giant flare rate and theoretical nsns merger rates evolved according to wellknown star formation rate parameterisations we constrain the predicted distributions by batse sgrb overall number counts we show that only a dual population consisting of both sgr giant flares and nsns mergers can reproduce the likely local distribution of sgrbs as well as the overall number counts in addition the best fit lf parameters of both subpopulations are in good agreement with observed luminosities | [['with', 'a', 'peak', 'luminosity', 'of', '1047', 'ergs', 'the', 'december', '27th', '2004', 'giant', 'flare', 'from', 'sgr180620', 'would', 'have', 'been', 'visible', 'by', 'batse', 'the', 'burst', 'and', 'transient', 'source', 'experiment', 'out', 'to', '50', 'mpc', 'it', 'is', 'thus', 'plausible', 'that', 'some', 'fraction', 'of', 'the', 'short', 'duration', 'gammaray', 'bursts', 'sgrbs', 'in', 'the', 'batse', 'catalogue', 'were', 'due', 'to', 'extragalactic', 'magnetar', 'giant', 'flares', 'according', 'to', 'the', 'most', 'widely', 'accepted', 'current', 'models', 'the', 'remaining', 'batse', 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709.4641 | Adiabaticity and spectral splits in collective neutrino transformations | Neutrinos streaming off a supernova core transform collectively by
neutrino-neutrino interactions, leading to "spectral splits" where an energy
E_split divides the transformed spectrum sharply into parts of almost pure but
different flavors. We present a detailed description of the spectral split
phenomenon which is conceptually and quantitatively understood in an adiabatic
treatment of neutrino-neutrino effects. Central to this theory is a
self-consistency condition in the form of two sum rules (integrals over the
neutrino spectra that must equal certain conserved quantities). We provide
explicit analytic and numerical solutions for various neutrino spectra. We
introduce the concept of the adiabatic reference frame and elaborate on the
relative adiabatic evolution. Violating adiabaticity leads to the spectral
split being "washed out". The sharpness of the split appears to be represented
by a surprisingly universal function.
| hep-ph | neutrinos streaming off a supernova core transform collectively by neutrinoneutrino interactions leading to spectral splits where an energy e_split divides the transformed spectrum sharply into parts of almost pure but different flavors we present a detailed description of the spectral split phenomenon which is conceptually and quantitatively understood in an adiabatic treatment of neutrinoneutrino effects central to this theory is a selfconsistency condition in the form of two sum rules integrals over the neutrino spectra that must equal certain conserved quantities we provide explicit analytic and numerical solutions for various neutrino spectra we introduce the concept of the adiabatic reference frame and elaborate on the relative adiabatic evolution violating adiabaticity leads to the spectral split being washed out the sharpness of the split appears to be represented by a surprisingly universal function | [['neutrinos', 'streaming', 'off', 'a', 'supernova', 'core', 'transform', 'collectively', 'by', 'neutrinoneutrino', 'interactions', 'leading', 'to', 'spectral', 'splits', 'where', 'an', 'energy', 'e_split', 'divides', 'the', 'transformed', 'spectrum', 'sharply', 'into', 'parts', 'of', 'almost', 'pure', 'but', 'different', 'flavors', 'we', 'present', 'a', 'detailed', 'description', 'of', 'the', 'spectral', 'split', 'phenomenon', 'which', 'is', 'conceptually', 'and', 'quantitatively', 'understood', 'in', 'an', 'adiabatic', 'treatment', 'of', 'neutrinoneutrino', 'effects', 'central', 'to', 'this', 'theory', 'is', 'a', 'selfconsistency', 'condition', 'in', 'the', 'form', 'of', 'two', 'sum', 'rules', 'integrals', 'over', 'the', 'neutrino', 'spectra', 'that', 'must', 'equal', 'certain', 'conserved', 'quantities', 'we', 'provide', 'explicit', 'analytic', 'and', 'numerical', 'solutions', 'for', 'various', 'neutrino', 'spectra', 'we', 'introduce', 'the', 'concept', 'of', 'the', 'adiabatic', 'reference', 'frame', 'and', 'elaborate', 'on', 'the', 'relative', 'adiabatic', 'evolution', 'violating', 'adiabaticity', 'leads', 'to', 'the', 'spectral', 'split', 'being', 'washed', 'out', 'the', 'sharpness', 'of', 'the', 'split', 'appears', 'to', 'be', 'represented', 'by', 'a', 'surprisingly', 'universal', 'function']] | [-0.13548274552769504, 0.17437864313429072, -0.13413333034014885, 0.13638328222063803, -0.061146943257652395, -0.10961130677317163, 0.05236442408965232, 0.33934150014840464, -0.2638067052315722, -0.25945769193518253, 0.034127243956238146, -0.23547206482430563, -0.09314701268769346, 0.14666230886248616, -0.006414845760001709, -0.03306678910775267, 0.0471349824913102, 0.002367640724841093, -0.09580692745930025, -0.19999039956041476, 0.3375194029854113, 0.06107524717302161, 0.26526704212323626, 0.06895073369955858, 0.07340499135231926, 0.0012408995606318003, -0.05801384032655948, -0.009673301994317133, -0.11838555328206041, 0.05127316062118261, 0.21773915332779803, 0.11867583568300341, 0.20921617959988595, -0.4371620116236385, -0.18988069305409686, 0.12906402156453664, 0.19640143418449993, 0.07274950074675343, -0.01745466651654454, -0.24623428511998496, 0.03110676334872273, -0.18999186085665043, -0.14408024997834315, -0.10272064572966653, -0.007466322713965223, -0.020220274137660064, -0.26223388538724307, 0.08961726647609745, 0.05624207818085543, 0.0068527095673875955, -0.06405209768776789, -0.08942962129323082, -0.0033877269260030782, 0.11340166372424773, 0.06362125567935464, -0.03904382695394163, 0.1128371135004661, -0.09288872144796409, -0.05780739448111476, 0.4181309688751024, -0.04703660024319356, -0.18151471742287986, 0.14712240205516058, -0.11713328995548175, -0.09044638262414693, 0.16119845666858645, 0.11290451279198857, 0.09185106849843522, -0.1469153490393842, 0.06713635167631299, -0.023348553653607388, 0.13736770045943558, 0.08005343341279818, 0.034446364278269255, 0.23526929935284016, 0.10403552518816281, 0.06437196818585614, 0.12726719907701783, -0.03510417211765267, -0.10857093433017721, -0.3630907479815811, -0.09835422711930315, -0.15259240041415825, 0.10486804588363711, -0.08718864218021284, -0.1811838803869736, 0.447555068018313, 0.0788681490723584, 0.208178181645775, -0.0011926898581708092, 0.3112636244080904, 0.18144709279917123, 0.07023504602488216, 0.038967424296269204, 0.24674225692239143, 0.151451752298931, 0.06471701948779088, -0.2543364939997897, -0.023439131570510738, 0.0973893801205372] |
709.4642 | Multipartite entanglement in four-qubit cluster-class states | Based on quantitative complementarity relations (QCRs), we analyze the
multipartite correlations in four-qubit cluster-class states. It is proven
analytically that the average multipartite correlation $E_{ms}$ is entanglement
monotone. Moreover, it is also shown that the mixed three-tangle is a
correlation measure compatible with the QCRs in this kind of quantum states.
More arrestingly, with the aid of the QCRs, a set of hierarchy entanglement
measures is obtained rigorously in the present system.
| quant-ph | based on quantitative complementarity relations qcrs we analyze the multipartite correlations in fourqubit clusterclass states it is proven analytically that the average multipartite correlation e_ms is entanglement monotone moreover it is also shown that the mixed threetangle is a correlation measure compatible with the qcrs in this kind of quantum states more arrestingly with the aid of the qcrs a set of hierarchy entanglement measures is obtained rigorously in the present system | [['based', 'on', 'quantitative', 'complementarity', 'relations', 'qcrs', 'we', 'analyze', 'the', 'multipartite', 'correlations', 'in', 'fourqubit', 'clusterclass', 'states', 'it', 'is', 'proven', 'analytically', 'that', 'the', 'average', 'multipartite', 'correlation', 'e_ms', 'is', 'entanglement', 'monotone', 'moreover', 'it', 'is', 'also', 'shown', 'that', 'the', 'mixed', 'threetangle', 'is', 'a', 'correlation', 'measure', 'compatible', 'with', 'the', 'qcrs', 'in', 'this', 'kind', 'of', 'quantum', 'states', 'more', 'arrestingly', 'with', 'the', 'aid', 'of', 'the', 'qcrs', 'a', 'set', 'of', 'hierarchy', 'entanglement', 'measures', 'is', 'obtained', 'rigorously', 'in', 'the', 'present', 'system']] | [-0.1466543727007735, 0.13865500976048087, -0.14280810230074154, 0.15399684269062203, 0.050926973132173654, -0.16482870819290046, 0.017882059766924467, 0.3401271220890508, -0.22041790819038515, -0.22067434703796238, 0.06917363094955521, -0.31157395594409143, -0.16182315558789, 0.1684306203050242, -0.02140105135090973, 0.12245934488980667, 0.08026707488233628, 0.06643696794407847, -0.08453100730084638, -0.24020832261084107, 0.39452609041894693, 0.013214442074177381, 0.32104913281627756, 0.09554756161473367, 0.08604416819424301, -0.01458821545921914, 0.014532402151034794, 0.058500454828575035, -0.11402907158502047, 0.13063800541947232, 0.25224154852870584, 0.18672991473821626, 0.21373413574706385, -0.3223666045949727, -0.16459673280031353, 0.13701131070653597, 0.08839931767147062, 0.11101801808167627, -0.017035399508988146, -0.33065306335903594, 0.0054543230031360536, -0.18346916601412755, -0.08971667215498029, -0.11867156039005604, 0.04836628429483676, -0.06187164886395676, -0.25763741582362115, 0.12937579134882402, 0.0327545252520645, 0.04205980018267165, 0.005337251196750372, -0.03260626923799029, -0.027225860863573093, 0.10483173789132548, -0.08425649421010546, -0.01616170310644784, 0.03813286975323074, -0.07340128713395393, -0.1500464006971595, 0.307907577496076, -0.04017108354542027, -0.26982827087783295, 0.16428527147239208, -0.15198931231608856, -0.16523970903801746, 0.016355504956690296, 0.07109359630882955, 0.0971752536766555, -0.16433155073014938, 0.03545613225508967, -0.11881184988938596, 0.22202349961667822, 0.025843242682732533, 0.1318588717368202, 0.15379822497134624, 0.1198597331598833, 0.1311317633540518, 0.2603541590489339, -0.026171643938194367, -0.14586227307555036, -0.2958809060139069, -0.21689690406555714, -0.26080341525105893, 0.05820546576253854, -0.08508086012865322, -0.09826617150869477, 0.4082028731919717, 0.12206641468556895, 0.10710243536564319, 0.09683322691885025, 0.22910140430473763, 0.15184978884159742, 0.05159432176277851, 0.056786189348423395, 0.285732739807471, 0.19996670628155488, 0.05165036088800517, -0.26694796302531293, 0.1196005665022286, 0.03239312520979539] |
709.4643 | Periodic solutions of periodically perturbed planar autonomous systems:
A topological approach | Aim of this paper is to investigate the existence of periodic solutions of a
nonlinear planar autonomous system having a limit cycle x_0 of least period
T_0>0 when it is perturbed by a small parameter, T_1-periodic, perturbation. In
the case when T_0/T_1 is a rational number l/k, with l, k prime numbers, we
provide conditions to guarantee, for the parameter perturbation e>0
sufficiently small, the existence of klT_0-periodic solutions x_e of the
perturbed system which converge to the trajectory x_1 of the limit cycle as
e->0. Moreover, we state conditions under which T=klT_0 is the least period of
the periodic solutions x_e. We also suggest a simple criterion which ensures
that these conditions are verified. Finally, in the case when T_0/T_1 is an
irrational number we show the nonexistence, whenever T>0 and e>0, of T-periodic
solutions x_e of the perturbed system converging to x_1. The employed methods
are based on the topological degree theory.
| math.CA | aim of this paper is to investigate the existence of periodic solutions of a nonlinear planar autonomous system having a limit cycle x_0 of least period t_00 when it is perturbed by a small parameter t_1periodic perturbation in the case when t_0t_1 is a rational number lk with l k prime numbers we provide conditions to guarantee for the parameter perturbation e0 sufficiently small the existence of klt_0periodic solutions x_e of the perturbed system which converge to the trajectory x_1 of the limit cycle as e0 moreover we state conditions under which tklt_0 is the least period of the periodic solutions x_e we also suggest a simple criterion which ensures that these conditions are verified finally in the case when t_0t_1 is an irrational number we show the nonexistence whenever t0 and e0 of tperiodic solutions x_e of the perturbed system converging to x_1 the employed methods are based on the topological degree theory | [['aim', 'of', 'this', 'paper', 'is', 'to', 'investigate', 'the', 'existence', 'of', 'periodic', 'solutions', 'of', 'a', 'nonlinear', 'planar', 'autonomous', 'system', 'having', 'a', 'limit', 'cycle', 'x_0', 'of', 'least', 'period', 't_00', 'when', 'it', 'is', 'perturbed', 'by', 'a', 'small', 'parameter', 't_1periodic', 'perturbation', 'in', 'the', 'case', 'when', 't_0t_1', 'is', 'a', 'rational', 'number', 'lk', 'with', 'l', 'k', 'prime', 'numbers', 'we', 'provide', 'conditions', 'to', 'guarantee', 'for', 'the', 'parameter', 'perturbation', 'e0', 'sufficiently', 'small', 'the', 'existence', 'of', 'klt_0periodic', 'solutions', 'x_e', 'of', 'the', 'perturbed', 'system', 'which', 'converge', 'to', 'the', 'trajectory', 'x_1', 'of', 'the', 'limit', 'cycle', 'as', 'e0', 'moreover', 'we', 'state', 'conditions', 'under', 'which', 'tklt_0', 'is', 'the', 'least', 'period', 'of', 'the', 'periodic', 'solutions', 'x_e', 'we', 'also', 'suggest', 'a', 'simple', 'criterion', 'which', 'ensures', 'that', 'these', 'conditions', 'are', 'verified', 'finally', 'in', 'the', 'case', 'when', 't_0t_1', 'is', 'an', 'irrational', 'number', 'we', 'show', 'the', 'nonexistence', 'whenever', 't0', 'and', 'e0', 'of', 'tperiodic', 'solutions', 'x_e', 'of', 'the', 'perturbed', 'system', 'converging', 'to', 'x_1', 'the', 'employed', 'methods', 'are', 'based', 'on', 'the', 'topological', 'degree', 'theory']] | [-0.2524586604285171, 0.11960328007450355, -0.0864132276384641, 0.01793480647067903, -0.012286499629895024, -0.1461136216599963, 0.021145222474210308, 0.30432586048711213, -0.26871281750006787, -0.21814664160764918, 0.14978812540424927, -0.2733172887923899, -0.1436747204564783, 0.1840877201013415, -0.05638153328473945, 0.06771705537843241, 0.07776285131579104, 0.11884164643517868, -0.017958539558130482, -0.2582489289096649, 0.34086705811186047, -0.02879725004984251, 0.17897122093886508, 0.0017258564996323394, 0.09432751927766694, -0.03186805140911694, 0.09697245713284806, 0.03270194023525318, -0.186788907331896, 0.03315504721446049, 0.22653965720450445, 0.07928697084267901, 0.3002256868986894, -0.3767667959092666, -0.1462412585384083, 0.17246030780505264, 0.12809588239892133, 0.0799252911006711, 0.00020372735826755005, -0.23819026527718165, 0.17676845727456017, -0.11461680371629225, -0.2408473883656822, -0.06870169737777174, 0.06450568927168254, 0.08103136505487542, -0.33573096004987, 0.05816752258638099, 0.09666150152862121, 0.055947342461949545, -0.08940646343090454, -0.09054936004713153, -0.04760538422292875, 0.1035085989928277, 0.08267825663502988, 0.03147544814828808, 0.04312966662360392, -0.09070193395481155, -0.038746416283500014, 0.3466064865077963, -0.08260396183414434, -0.206871801913278, 0.15901268013006706, -0.17257092892506856, -0.12833053496857452, 0.15301938198926235, 0.10738041583103257, 0.17109010692081408, -0.08746941367598692, 0.13064228695168142, -0.055143545958404705, 0.1788704734039647, 0.09437114827408893, 0.0036299239677555907, 0.15789204105019372, 0.12571644748558, 0.17467958953490617, 0.1144665399233237, -0.04750674203907861, -0.07394975836431941, -0.3513410608068306, -0.09753080969059605, -0.18043003197056273, 0.10563106418106187, -0.10090153705664458, -0.1924111114087089, 0.3642147109837623, 0.12102976540683319, 0.20770426505917547, 0.0706685348467852, 0.2312080951041152, 0.1832246997429132, -0.03793448640171605, 0.09084973726668302, 0.2082510206028079, 0.13863379149142627, 0.03996409545189991, -0.21443775868882112, 0.03025388413583798, 0.10961685185351513] |
709.4644 | Conditional preparation of states containing a definite number of
photons | A technique for conditionally creating single- or multimode photon-number
states is analyzed using Bayesian theory. We consider the heralded N-photon
states created from the photons produced by an unseeded optical parametric
amplifier when the heralding detector is the time-multiplexed
photon-number-resolving detector recently demonstrated by Fitch, et al. [Phys.
Rev. A 68, 043814 (2003).] and simultaneously by Achilles, et al. [Opt. Lett.
28, 2387 (2003).]. We find that even with significant loss in the heralding
detector, fields with sub-Poissonian photon-number distributions can be
created. We also show that heralded multimode fields created using this
technique are more robust against detector loss than are single-mode fields.
| quant-ph | a technique for conditionally creating single or multimode photonnumber states is analyzed using bayesian theory we consider the heralded nphoton states created from the photons produced by an unseeded optical parametric amplifier when the heralding detector is the timemultiplexed photonnumberresolving detector recently demonstrated by fitch et al phys rev a 68 043814 2003 and simultaneously by achilles et al opt lett 28 2387 2003 we find that even with significant loss in the heralding detector fields with subpoissonian photonnumber distributions can be created we also show that heralded multimode fields created using this technique are more robust against detector loss than are singlemode fields | [['a', 'technique', 'for', 'conditionally', 'creating', 'single', 'or', 'multimode', 'photonnumber', 'states', 'is', 'analyzed', 'using', 'bayesian', 'theory', 'we', 'consider', 'the', 'heralded', 'nphoton', 'states', 'created', 'from', 'the', 'photons', 'produced', 'by', 'an', 'unseeded', 'optical', 'parametric', 'amplifier', 'when', 'the', 'heralding', 'detector', 'is', 'the', 'timemultiplexed', 'photonnumberresolving', 'detector', 'recently', 'demonstrated', 'by', 'fitch', 'et', 'al', 'phys', 'rev', 'a', '68', '043814', '2003', 'and', 'simultaneously', 'by', 'achilles', 'et', 'al', 'opt', 'lett', '28', '2387', '2003', 'we', 'find', 'that', 'even', 'with', 'significant', 'loss', 'in', 'the', 'heralding', 'detector', 'fields', 'with', 'subpoissonian', 'photonnumber', 'distributions', 'can', 'be', 'created', 'we', 'also', 'show', 'that', 'heralded', 'multimode', 'fields', 'created', 'using', 'this', 'technique', 'are', 'more', 'robust', 'against', 'detector', 'loss', 'than', 'are', 'singlemode', 'fields']] | [-0.05011672604697964, 0.1889870478241824, -0.07262864770385825, -0.035605805206058314, 0.019344657399574097, -0.2019153051213949, 0.06971436195884768, 0.4416185437500459, -0.12452522187846378, -0.351356094904262, -0.047853447751196335, -0.295406101036419, -0.1105433980622374, 0.2582607251632669, -0.12815307393597747, 0.13736233453365784, 0.10397995043618297, -0.11366485162339743, 0.024773741929873246, -0.2754667965690741, 0.2153794498237085, 0.12925029518896514, 0.3707088863983461, -0.04201713804770442, 0.15355641086522526, 0.07799573593718696, -0.029731754294384127, -0.043263282192852894, -0.05970650140574152, 0.03776808732270616, 0.24601621440277227, 0.13508635856102683, 0.2722746059976663, -0.39866979532305474, -0.239501481534443, 0.11713944361499935, 0.05299592179074449, 0.1821238060834483, -0.05962291276559925, -0.4076861925242306, 0.025966628873946813, -0.24121264002011247, -0.0754318509626121, -0.1088500246665558, 0.014689367648792787, -0.01638614394005786, -0.3169277934086265, 0.10681952950397723, 0.02972070428088434, 0.02013648577142977, 0.1176977320031706, -0.04434904730307996, -0.032452670305750324, -0.07999146209201251, -0.1721470085553626, 0.019002774499754592, 0.11667066434108951, -0.11698788644896269, -0.1880999879359982, 0.22619319237820643, -0.07355354119895266, -0.12128245083669435, 0.1386684229466341, -0.10676442677589151, -0.04457702676684243, 0.12901967880542128, 0.1638610668805907, 0.13228993624611532, -0.17774950780578577, 0.015929351958052878, -0.04241008855384386, 0.23262973832310113, 0.1918216198682785, 0.11607993692521332, 0.1673810859798517, 0.11748869183419038, -0.039534498706857844, 0.19140516337825583, -0.17082394038855286, -0.01730817926762788, -0.28086287552689754, -0.12437968372674749, -0.23092614268450048, 0.06942433653991598, 0.022235472763586762, -0.07938232615327878, 0.3739592876936336, 0.1381146845122962, 0.14917423536331909, -0.03707664156133689, 0.2760107635692196, 0.16201926592864024, 0.01109105926933834, 0.1566416936252917, 0.3472179928884923, 0.16281603402186873, 0.05474362931738707, -0.1730462834758919, 0.00434846347830828, -0.039971880621539016] |
709.4645 | Contracting Endomorphisms and Gorenstein Modules | We characterize Gorenstein modules over those local rings that admit a finite
contracting endomorphism.
| math.AC | we characterize gorenstein modules over those local rings that admit a finite contracting endomorphism | [['we', 'characterize', 'gorenstein', 'modules', 'over', 'those', 'local', 'rings', 'that', 'admit', 'a', 'finite', 'contracting', 'endomorphism']] | [-0.2650433659686574, 0.023036189709923098, -0.15514388786894934, 0.07260987162590027, -0.05614613635199411, -0.25586404129197554, -0.22667651922841156, 0.4325816205569676, -0.4568989393966539, 0.0025841197265045984, 0.11068997715067651, -0.22709943833095686, -0.09478714689612389, 0.13876490048798068, -0.20264110295102, -0.12172116033200707, 0.05015604676944869, 0.09889368054323963, -0.1553776607283258, -0.4628314695187977, 0.44389121873038156, -0.023350878566686464, 0.19440144614782184, -0.08255382366145828, 0.1501775802379208, -0.00039655442482658794, -0.04574733340580549, 0.17038837713854654, -0.28923796644760713, 0.02755556016096047, 0.4191077480624829, 0.05182349152996072, 0.1581880623208625, -0.4131885346557413, -0.07631899842194148, 0.4023897296616009, 0.17566162334488972, -0.028354094363749027, -0.022509127406270375, -0.14353219885379076, 0.2439906966340329, -0.3703767835561718, -0.14432795073038765, -0.14068405223744257, 0.0717000202941043, 0.08834024398986783, -0.18807939440011978, -0.014219810920102256, 0.13345129734703473, 0.24181875476746686, -0.16470903710329107, 0.07811631189127054, -0.11949462949165277, 0.0089218634779432, -0.2817525590902993, -0.13146894252193825, 0.2277523795741477, -0.051104786922223866, -0.16261627990752459, 0.24184476424540793, -0.09444796001272542, -0.17730130313429981, 0.20892581636352198, -0.23561957704701594, -0.061753893603703806, 0.2461234082334808, -0.074698538386396, 0.19823279178568295, 0.02884530488933836, 0.2549018849219595, -0.26149389360632214, -0.07855376920529775, 0.16140617510037764, 0.0777082220052502, 0.20655802530901773, 0.031838652677834034, 0.19597953079002245, 0.12530329717057093, 0.11630840466490813, 0.005135707291109222, -0.3738327982303287, -0.1676070699468255, -0.007172231462651065, 0.17383277961718185, -0.1333888551619436, -0.22191267547064594, 0.47910658589431215, 0.06709844512598855, 0.19912522552268846, 0.2072280438483826, 0.1594244163217289, -0.15582514181733131, 0.1749169021911387, 0.1225083583236223, 0.063561742742812, 0.28054586332291365, -0.10793302598176524, -0.08182844865534987, -0.024906133501125232, 0.27500513728175846] |
709.4646 | Positve Entropy Geodesic Flows on Nilmanifolds | Let T be the nilpotent group of 4 x 4 real upper triangular matrices. In this
note we show that the Euler equations of certain left-invariant riemannian
metrics on T have a horseshoe. We also show, with the aid of a numerical
computation of a Melnikov-type integral, that the Euler equations of the
sub-riemannian Carnot metric on T has a horseshoe. This sharpens an earlier
result of Montgomery, Shapiro and Stolin who had shown that the equations are
algebraically non-integrable.
| math.DS math.DG | let t be the nilpotent group of 4 x 4 real upper triangular matrices in this note we show that the euler equations of certain leftinvariant riemannian metrics on t have a horseshoe we also show with the aid of a numerical computation of a melnikovtype integral that the euler equations of the subriemannian carnot metric on t has a horseshoe this sharpens an earlier result of montgomery shapiro and stolin who had shown that the equations are algebraically nonintegrable | [['let', 't', 'be', 'the', 'nilpotent', 'group', 'of', '4', 'x', '4', 'real', 'upper', 'triangular', 'matrices', 'in', 'this', 'note', 'we', 'show', 'that', 'the', 'euler', 'equations', 'of', 'certain', 'leftinvariant', 'riemannian', 'metrics', 'on', 't', 'have', 'a', 'horseshoe', 'we', 'also', 'show', 'with', 'the', 'aid', 'of', 'a', 'numerical', 'computation', 'of', 'a', 'melnikovtype', 'integral', 'that', 'the', 'euler', 'equations', 'of', 'the', 'subriemannian', 'carnot', 'metric', 'on', 't', 'has', 'a', 'horseshoe', 'this', 'sharpens', 'an', 'earlier', 'result', 'of', 'montgomery', 'shapiro', 'and', 'stolin', 'who', 'had', 'shown', 'that', 'the', 'equations', 'are', 'algebraically', 'nonintegrable']] | [-0.21265059462602948, 0.09771765962232166, -0.12680056098033674, 0.019815811185981146, -0.1079772414173931, -0.13800679775886238, -0.037714968842919916, 0.31435365496436135, -0.22741020806133747, -0.24140779364388437, 0.09602339364791987, -0.27597929621115325, -0.18565323611255735, 0.2454660184565, -0.10757296230258362, 0.01894882773049176, 0.08985237466404214, 0.11942863238509745, -0.12494038030563388, -0.34451603842608164, 0.3616901523200795, -0.005805031175259501, 0.17592226386477705, 0.05064777211518958, 0.14709529058309273, -0.06165533629246056, -0.008240839991685789, 0.02688267200428527, -0.18244816597280078, 0.052831448207143694, 0.2468264005088713, 0.029043421131791546, 0.24782303628744556, -0.34651362255681306, -0.20241616951534525, 0.13271419717348182, 0.17256398450699634, 0.01043203987646848, -0.0088251627079444, -0.30703734955750406, 0.11936666923575104, -0.14601501787547022, -0.1409940896788612, -0.04786854728590697, 0.06608156953006983, 0.041692060162313284, -0.2128841929428745, 0.037553014894001535, 0.16690591907827185, 0.10537378328990599, -0.06453430741094053, -0.11913990759294393, -0.031240461766719817, 0.046662438346538694, 0.022674396037473343, 0.05704530407674611, 0.05264327837503515, -0.02907317556309863, -0.13852418345049955, 0.31113294906681405, -0.09841084514046088, -0.26469198005506767, 0.11285868983250111, -0.1920637020666618, -0.15687033639405853, 0.10485975098563358, 0.12902659326209687, 0.1957494645845145, -0.07117831191280857, 0.19925735760116367, -0.1539988042699406, 0.05646734471665695, 0.09500555581762456, -0.0968902523687575, 0.06461125324713066, 0.07985967286513188, 0.13300637245483812, 0.08265976449329174, 0.005241378536447882, -0.03186931964592077, -0.33551405211910607, -0.22257287710672244, -0.15219407006516122, 0.20673572980449534, -0.15823492624895152, -0.1757951159739605, 0.35011819936335087, 0.09905683672986924, 0.17898523595067672, 0.13077522485982626, 0.20060359177878126, 0.12104446657467634, 0.04322823023539968, 0.13080580097157507, 0.18108618595870213, 0.21260193909984082, 0.05766864927718416, -0.20531007633544504, -0.004191286431159824, 0.16907854816963663] |
709.4647 | Electrostatics in Periodic Boundary Conditions and Real-space
Corrections | We address periodic-image errors arising from the use of periodic boundary
conditions to describe systems that do not exhibit full three-dimensional
periodicity. The difference between the periodic potential, as
straightforwardly obtained from a Fourier transform, and the potential
satisfying any other boundary conditions can be characterized analytically. In
light of this observation, we present an efficient real-space method to correct
periodic-image errors, based on a multigrid solver for the potential
difference, and demonstrate that exponential convergence of the energy with
respect to cell size can be achieved in practical calculations. Additionally,
we derive rapidly convergent expansions for determining the Madelung constants
of point-charge assemblies in one, two, and three dimensions.
| cond-mat.other | we address periodicimage errors arising from the use of periodic boundary conditions to describe systems that do not exhibit full threedimensional periodicity the difference between the periodic potential as straightforwardly obtained from a fourier transform and the potential satisfying any other boundary conditions can be characterized analytically in light of this observation we present an efficient realspace method to correct periodicimage errors based on a multigrid solver for the potential difference and demonstrate that exponential convergence of the energy with respect to cell size can be achieved in practical calculations additionally we derive rapidly convergent expansions for determining the madelung constants of pointcharge assemblies in one two and three dimensions | [['we', 'address', 'periodicimage', 'errors', 'arising', 'from', 'the', 'use', 'of', 'periodic', 'boundary', 'conditions', 'to', 'describe', 'systems', 'that', 'do', 'not', 'exhibit', 'full', 'threedimensional', 'periodicity', 'the', 'difference', 'between', 'the', 'periodic', 'potential', 'as', 'straightforwardly', 'obtained', 'from', 'a', 'fourier', 'transform', 'and', 'the', 'potential', 'satisfying', 'any', 'other', 'boundary', 'conditions', 'can', 'be', 'characterized', 'analytically', 'in', 'light', 'of', 'this', 'observation', 'we', 'present', 'an', 'efficient', 'realspace', 'method', 'to', 'correct', 'periodicimage', 'errors', 'based', 'on', 'a', 'multigrid', 'solver', 'for', 'the', 'potential', 'difference', 'and', 'demonstrate', 'that', 'exponential', 'convergence', 'of', 'the', 'energy', 'with', 'respect', 'to', 'cell', 'size', 'can', 'be', 'achieved', 'in', 'practical', 'calculations', 'additionally', 'we', 'derive', 'rapidly', 'convergent', 'expansions', 'for', 'determining', 'the', 'madelung', 'constants', 'of', 'pointcharge', 'assemblies', 'in', 'one', 'two', 'and', 'three', 'dimensions']] | [-0.11937712939645818, 0.08096601333616288, -0.12015942123252898, 0.06743896815869785, -0.038210190845549934, -0.12920228259948394, 0.03552198199705109, 0.3973180179708396, -0.291567706086897, -0.2736637899722188, 0.12048800967103387, -0.21572170713894862, -0.14617662399972756, 0.23652608326261138, -0.04949452857383423, 0.06496630004538154, 0.07808010396463404, -0.002704650982869444, -0.13458230758206574, -0.22071232037894703, 0.30088147079179717, -0.009000851281194223, 0.24591297074221075, 0.05230129510164261, 0.07656326614906667, -0.021007996572060855, -0.007259624911023787, 0.05111677022823305, -0.13739173499400043, 0.11241323157230874, 0.20076893019938358, 0.05455126089401784, 0.23071030348667895, -0.4682835161823917, -0.20586949226411957, 0.09613067880100398, 0.17204690498248157, 0.1328923751048192, -0.06765425589509066, -0.24878242354693444, 0.09430625118936102, -0.1216437357124286, -0.19129224692436833, -0.1356846684055334, -0.021552449868371088, 0.0650842457953668, -0.30107197712210043, 0.09404339038991127, 0.023116542612788855, 0.04248631041634696, -0.09453885053732881, -0.09931706005483176, 0.01612690849988549, 0.13582909117125114, 0.024523440650463506, -0.016638035579860485, 0.06964209249256076, -0.07006064652577387, -0.0869494700304198, 0.3969638038478378, -0.07657567686746242, -0.24620399509418617, 0.18425547913001436, -0.12137020841085662, -0.10807247114954172, 0.14552143355831504, 0.173231996039653, 0.09597867481082815, -0.1555163351769335, 0.08401693335434646, 0.02249420422810578, 0.18392151997735104, 0.10061835481017758, 0.029471787149776465, 0.15539933074507173, 0.1089533216457952, 0.07565343707877521, 0.14038955827763183, -0.07001694202362732, -0.09201266250090191, -0.3025221503339708, -0.14256434918961194, -0.20877633590242584, 0.02246983421988531, -0.09559953598592849, -0.20134868628034988, 0.3801675411803579, 0.16586263084146022, 0.16369718481372628, 0.051463674320580646, 0.2766617778861136, 0.1582199053599551, 0.05498309664997376, 0.03981207663761139, 0.2198328201279596, 0.1104964377073985, 0.07618716418208485, -0.2657587217917252, -0.003394385448902742, 0.0871863933969979] |
709.4648 | Spectral properties of the non-hermitian Wilson-Dirac operator in the
Schroedinger functional | We report on some preparatory investigations for the simulation of the QCD
Schroedinger functional with a non-hermitian polynomial hybrid Monte Carlo
algorithm. The complex spectrum of the non-hermitean free operator with SF
boundary condititons is computed semianalytically. Then it is shown how one can
obtain relevant information on the boundary of the spectral domain also in the
presence of nontrivial gaugefields by monitoring the behavior of polynomials in
the Wilson operator applied on random vectors.
| hep-lat | we report on some preparatory investigations for the simulation of the qcd schroedinger functional with a nonhermitian polynomial hybrid monte carlo algorithm the complex spectrum of the nonhermitean free operator with sf boundary condititons is computed semianalytically then it is shown how one can obtain relevant information on the boundary of the spectral domain also in the presence of nontrivial gaugefields by monitoring the behavior of polynomials in the wilson operator applied on random vectors | [['we', 'report', 'on', 'some', 'preparatory', 'investigations', 'for', 'the', 'simulation', 'of', 'the', 'qcd', 'schroedinger', 'functional', 'with', 'a', 'nonhermitian', 'polynomial', 'hybrid', 'monte', 'carlo', 'algorithm', 'the', 'complex', 'spectrum', 'of', 'the', 'nonhermitean', 'free', 'operator', 'with', 'sf', 'boundary', 'condititons', 'is', 'computed', 'semianalytically', 'then', 'it', 'is', 'shown', 'how', 'one', 'can', 'obtain', 'relevant', 'information', 'on', 'the', 'boundary', 'of', 'the', 'spectral', 'domain', 'also', 'in', 'the', 'presence', 'of', 'nontrivial', 'gaugefields', 'by', 'monitoring', 'the', 'behavior', 'of', 'polynomials', 'in', 'the', 'wilson', 'operator', 'applied', 'on', 'random', 'vectors']] | [-0.1263383140243162, 0.11146472446066705, -0.11106028763350805, 0.0584807463003656, -0.0597631840312199, -0.09780075618874508, 0.0028937741157573625, 0.3793548836523818, -0.2565976446746169, -0.22835486211713302, 0.14329727928191927, -0.26513411952937777, -0.1709190148457482, 0.1869716328895978, -0.005091258211413751, 0.11115721797545415, 0.0830140585574161, 0.062180946618821974, -0.08843688227745981, -0.21828728594590682, 0.34749420485585125, 0.0329447376189401, 0.2200081064995076, 0.06646570928294111, 0.0580552213925969, 0.02977478416082827, -0.04929609446647904, -0.02138362540485891, -0.13109383255092277, 0.09485550635110633, 0.21519937863372066, 0.0707560918684042, 0.23231562398172714, -0.4134544265028593, -0.22674894745688182, 0.09179560607299209, 0.15702392589348066, 0.059151274064002, -0.02714672578951797, -0.29189099081968134, 0.06812688115531125, -0.1312210315687431, -0.14163250514507494, -0.10125998866970877, -0.041384536571599344, 0.013879172664412574, -0.2802906983840355, 0.04794085131151086, -0.021713163112164348, 0.05553173622418497, -0.05900791869498789, -0.10098256351350732, -0.031850070377962815, 0.08832638641517307, -0.004792349899149928, 0.032190117555532, 0.09344379085971899, -0.09824587234824493, -0.14112519679867938, 0.35331756656523794, -0.05651660294058053, -0.24264207696290435, 0.14004961136929892, -0.17603480109214983, -0.15848393033485156, 0.10689511328707119, 0.12722315440407475, 0.1581082540765606, -0.13685315221900474, 0.14863331021892057, -0.05485504071819722, 0.13759089678186118, 0.005548682277770461, 0.0006409589503262494, 0.13599893613089178, 0.11563397800499522, 0.06622713415040257, 0.180165849745626, -0.03642900871440164, -0.14500515549317808, -0.3181773491606519, -0.12940226717084344, -0.2426083202700357, 0.059943294366569935, -0.15379426039981883, -0.21898608361614705, 0.43713814724941513, 0.17267401533427876, 0.14921261580358888, 0.02885877067927976, 0.25515741945521253, 0.18727114725530752, 0.04830714057174486, 0.05839366244303214, 0.1640083217144648, 0.1544430512286773, 0.12135080278951775, -0.2979265214887926, 0.021724563227286813, 0.13846327039740375] |
709.4649 | Factorizations of one dimensional classical systems | A class of one dimensional classical systems is characterized from an
algebraic point of view. The Hamiltonians of these systems are factorized in
terms of two functions that together with the Hamiltonian itself close a
Poisson algebra. These two functions lead directly to two time-dependent
integrals of motion from which the phase motions are derived algebraically. The
systems so obtained constitute the classical analogues of the well known
factorizable one dimensional quantum mechanical systems.
| physics.class-ph physics.gen-ph | a class of one dimensional classical systems is characterized from an algebraic point of view the hamiltonians of these systems are factorized in terms of two functions that together with the hamiltonian itself close a poisson algebra these two functions lead directly to two timedependent integrals of motion from which the phase motions are derived algebraically the systems so obtained constitute the classical analogues of the well known factorizable one dimensional quantum mechanical systems | [['a', 'class', 'of', 'one', 'dimensional', 'classical', 'systems', 'is', 'characterized', 'from', 'an', 'algebraic', 'point', 'of', 'view', 'the', 'hamiltonians', 'of', 'these', 'systems', 'are', 'factorized', 'in', 'terms', 'of', 'two', 'functions', 'that', 'together', 'with', 'the', 'hamiltonian', 'itself', 'close', 'a', 'poisson', 'algebra', 'these', 'two', 'functions', 'lead', 'directly', 'to', 'two', 'timedependent', 'integrals', 'of', 'motion', 'from', 'which', 'the', 'phase', 'motions', 'are', 'derived', 'algebraically', 'the', 'systems', 'so', 'obtained', 'constitute', 'the', 'classical', 'analogues', 'of', 'the', 'well', 'known', 'factorizable', 'one', 'dimensional', 'quantum', 'mechanical', 'systems']] | [-0.16786447787072156, 0.11580036950122244, -0.08809701610054518, 0.06709261913941167, -0.015605597052018385, -0.12938631933836922, -0.033476480465332, 0.30404101125895977, -0.3446904093631216, -0.22951895154609875, 0.08912139200146084, -0.25805918148064333, -0.1726721176827276, 0.2625956882319942, -0.021643604756005713, 0.06103940733481903, 0.06372411817475851, 0.08112573270006357, -0.10526555841411087, -0.2195623321962115, 0.3942594662107326, -0.0521171108545811, 0.20471708192112478, -0.08886235937274792, 0.11103059469747383, -0.003124107323536599, 0.003928922934810052, 0.05144232722955781, -0.07813203788247995, 0.13641489581582514, 0.250106337008293, 0.03069072137460918, 0.19612858214138731, -0.4078916913603206, -0.20473719544305996, 0.09067156529714782, 0.135618361506007, 0.11170444494534938, 0.021691582294659235, -0.32058690259283457, 0.0027238487744250814, -0.1784659870963141, -0.17091203386568138, -0.09171889796601357, -0.02898556085278255, 0.05563899259101851, -0.21735257378502473, 0.06606791090736217, 0.08903653098024882, 0.0610262812744524, -0.08385030220489244, -0.13890548018782675, -0.026632997789420187, 0.13626581902389187, -0.017362562665791326, 0.012912082020193338, 0.11378164522702226, -0.10738310392421349, -0.1813920871858057, 0.4021329829167273, 0.0201399971092296, -0.24583796754076676, 0.24840557977330643, -0.1464681602209001, -0.1380601606168155, 0.16252482643451643, 0.11087927918541371, 0.12227746272912703, -0.18361080717295408, 0.1057631991602279, -0.012542115002115434, 0.08371950443275587, 0.00908189533731422, 0.08841899171396084, 0.23637297091300827, 0.04358804371283465, 0.03030382121938306, 0.16027527752433074, 0.001515393623629132, -0.20519836059444257, -0.32390524900040113, -0.1423446517626478, -0.18552363024571458, 0.1201883978021608, -0.09119192946063531, -0.2156268562901312, 0.37017650776416866, 0.08650487939185286, 0.1993406935393609, 0.03793735138448962, 0.2362409339261216, 0.19595745981142326, 0.0814284156957591, 0.03867911747530908, 0.2374235077861797, 0.1737767449152228, 0.04153762818188281, -0.16375115168960513, -0.02966325355039255, 0.14329149114672798] |
709.465 | CP Violation and Neutrino Masses and Mixings from Quark Mass Hierarchies | We study the connection between quark and lepton mass matrices in a
supersymmetric SO(10) GUT model in six dimensions, compactified on an orbifold.
The physical quarks and leptons are mixtures of brane and bulk states. This
leads to a characteristic pattern of mass matrices and high-energy CP violating
phases. The hierarchy of up and down quark masses determines the CKM matrix and
most charged lepton and neutrino masses and mixings. The small hierarchy of
neutrino masses is a consequence of the mismatch of the up and down quark mass
hierarchies. The effective CP violating phases in the quark sector, neutrino
oscillations and leptogenesis are unrelated. In the neutrino sector we can
accomodate naturally $\sin \theta_{23} \sim 1$, $\sin \theta_{13} \lesssim 0.1$
and $m_1 \lesssim m_2 \sim \sqrt{\Delta m^2_\text{sol}} < m_3 \sim \sqrt{\Delta
m^2_\text{atm}}$.
| hep-ph | we study the connection between quark and lepton mass matrices in a supersymmetric so10 gut model in six dimensions compactified on an orbifold the physical quarks and leptons are mixtures of brane and bulk states this leads to a characteristic pattern of mass matrices and highenergy cp violating phases the hierarchy of up and down quark masses determines the ckm matrix and most charged lepton and neutrino masses and mixings the small hierarchy of neutrino masses is a consequence of the mismatch of the up and down quark mass hierarchies the effective cp violating phases in the quark sector neutrino oscillations and leptogenesis are unrelated in the neutrino sector we can accomodate naturally sin theta_23 sim 1 sin theta_13 lesssim 01 and m_1 lesssim m_2 sim sqrtdelta m2_textsol m_3 sim sqrtdelta m2_textatm | [['we', 'study', 'the', 'connection', 'between', 'quark', 'and', 'lepton', 'mass', 'matrices', 'in', 'a', 'supersymmetric', 'so10', 'gut', 'model', 'in', 'six', 'dimensions', 'compactified', 'on', 'an', 'orbifold', 'the', 'physical', 'quarks', 'and', 'leptons', 'are', 'mixtures', 'of', 'brane', 'and', 'bulk', 'states', 'this', 'leads', 'to', 'a', 'characteristic', 'pattern', 'of', 'mass', 'matrices', 'and', 'highenergy', 'cp', 'violating', 'phases', 'the', 'hierarchy', 'of', 'up', 'and', 'down', 'quark', 'masses', 'determines', 'the', 'ckm', 'matrix', 'and', 'most', 'charged', 'lepton', 'and', 'neutrino', 'masses', 'and', 'mixings', 'the', 'small', 'hierarchy', 'of', 'neutrino', 'masses', 'is', 'a', 'consequence', 'of', 'the', 'mismatch', 'of', 'the', 'up', 'and', 'down', 'quark', 'mass', 'hierarchies', 'the', 'effective', 'cp', 'violating', 'phases', 'in', 'the', 'quark', 'sector', 'neutrino', 'oscillations', 'and', 'leptogenesis', 'are', 'unrelated', 'in', 'the', 'neutrino', 'sector', 'we', 'can', 'accomodate', 'naturally', 'sin', 'theta_23', 'sim', '1', 'sin', 'theta_13', 'lesssim', '01', 'and', 'm_1', 'lesssim', 'm_2', 'sim', 'sqrtdelta', 'm2_textsol', 'm_3', 'sim', 'sqrtdelta', 'm2_textatm']] | [-0.12632582007029738, 0.40293489081097783, 0.06426507085561753, 0.19506237786263228, -0.055516286240890625, -0.1710480759672534, 0.1080682016344956, 0.26511354066718085, -0.1885463688065871, -0.326018858997402, 0.041265476662486505, -0.3015399271264099, 0.011821820748557981, 0.0738290608412801, 0.02690277433452698, 0.04070831845210005, 0.005972568407798043, -0.07571008306784699, -0.20004146598691408, -0.1894762483678418, 0.3212368588679685, -0.06827022769989875, 0.14451924078166484, 0.10959358646606024, 0.09241465533761165, -0.1275391099580492, 0.014923344975194106, -0.17754311941277523, -0.09526693281782522, -0.0053103984785803525, 0.13857953172678558, 0.0825022002001508, -0.01047022962369598, -0.3241334500650947, -0.06705459528244459, 0.19373760120226788, 0.19029237114860176, 0.0353450055162494, -0.03177950291697366, -0.30986788548314226, 0.08163118361352155, -0.2573875452750004, -0.14818470331195455, -0.06037543073762208, -0.02111927095012596, -0.16541108194774445, -0.38173299277058015, 0.16758101449164453, -0.0701091804756568, -0.04224582681647287, 0.05226901274783394, -0.24375072387942615, -0.07588920921373826, 0.019620730727910995, 0.22856358009336802, -0.001238153475480011, 0.104833461943781, -0.1594663237239449, -0.07851749311846036, 0.47171374974915614, -0.04436533711134241, -0.17790379006272325, 0.1175363569950255, -0.22347355398300212, -0.14667391006995995, 0.0779220971529587, 0.18274056838104466, 0.0752035681050844, -0.1751263054445959, 0.21009559283041968, -0.12010293705747105, 0.19695534855843735, 0.12783150450827985, 0.009692147366989118, 0.3655500100495724, 0.235438493746691, 0.09212824428597322, -0.11889302868825885, -0.08623239270662172, -0.022228811889027172, -0.39555970992033296, -0.11186204373549957, -0.07040219485329893, 0.12169731068783081, -0.20989251210087856, -0.062328609405085444, 0.4568636516180749, 0.08446899769433702, 0.25379793398225536, 0.05185814548570376, 0.2186717401097457, 0.03570935116507686, 0.07514978727469078, 0.04561848184452034, 0.270955166227829, 0.2491750026193376, 0.14701026807754086, -0.29589806172208716, -0.08255447682100707, 0.10530630311069007] |
709.4651 | Comment on "Is There a "Most Perfect Fluid" Consistent with Quantum
Field Theory?" | This is a comment on hep-th/0702136
| hep-th hep-ph nucl-th | this is a comment on hepth0702136 | [['this', 'is', 'a', 'comment', 'on', 'hepth0702136']] | [-0.21415500938892365, 0.10114628821611404, -0.15367542495951056, 0.049587417393922806, -0.15845250450074672, -0.013680655416101218, 0.11685236990451812, 0.32352621108293533, -0.022586753964424132, -0.1547233171761036, 0.23054298907518386, -0.296547194570303, -0.22051888555288315, 0.21063961684703827, -0.19979685302823783, -0.18523585498332978, 0.05258949026465416, 0.11550173982977867, -0.1419670693576336, -0.3024692855775356, 0.4112134277820587, 0.10324739292263985, 0.24325057119131088, 0.2869312439113855, 0.09860770720988513, -0.03977284822613001, -0.12470682635903359, -0.07200912907719612, -0.15365250762552024, 0.14423462543636562, 0.06625286657363176, 0.10691950833424926, 0.3211332201957703, -0.2754968825727701, -0.23523456156253814, 0.04528781846165657, -0.012186816334724427, 0.2382756933569908, -0.048029236239381136, -0.2599611133337021, 0.10385583136230707, -0.09157510250806808, -0.01233864612877369, -0.026316878199577332, 0.10095569975674153, -0.03524395958520472, -0.18309876397252084, -0.013647360540926457, 0.0682246893644333, 0.028714504465460776, 0.05440035425126553, -0.05632076114416122, 0.10021254122257232, -0.10789880463853478, 0.08470849893055857, 0.1107614766806364, 0.11896696910262108, -0.07093862439505756, -0.13369939029216765, 0.43249988555908203, 0.0025207790080457927, -0.3127608075737953, 0.19326155185699462, -0.07478875983506442, -0.20840467065572738, -0.11684868708252907, 0.18119061663746833, 0.16421068608760833, -0.1030191496014595, 0.2227924620732665, -0.23751666247844697, 0.21135313734412192, 0.013920781388878822, -0.06411845982074738, 0.2687674552202225, 0.3402222663164139, 0.042244534380733965, 0.17078620493412017, -0.05614020465873182, 0.028922538459300994, -0.37930582761764525, -0.23658440932631492, -0.24581011161208152, 0.1527307005599141, 0.023611321672797204, -0.19078799933195115, 0.4189452975988388, 0.25861746072769165, 0.36192434281110764, 0.026865798979997635, 0.2926822632551193, 0.19869123119860888, -0.05419822037220001, 0.0021859451197087766, 0.31945122480392457, -0.004071002081036568, 0.10729730175808072, -0.23678150856867433, 0.02291820738464594, 0.05848712921142578] |
709.4652 | Asymmetry of rotational catalysis of single membrane-bound F0F1-ATP
synthase | Erroneous submission in violation of copyright removed by arXiv admin.
| physics.bio-ph | erroneous submission in violation of copyright removed by arxiv admin | [['erroneous', 'submission', 'in', 'violation', 'of', 'copyright', 'removed', 'by', 'arxiv', 'admin']] | [-0.22172706332057715, 0.0338669303804636, -0.022779538901522754, -0.03168745934963226, -0.14088220447301864, -0.2398522425442934, 0.24546607797965408, 0.1183283731341362, -0.17965693990699946, -0.4359526693820953, 0.10541128780459985, -0.35726712383329867, 0.01606849010568112, -0.11570813357830048, -0.41479483153671026, 0.10209537222981453, 0.099731763638556, -0.16412376314401628, 0.029024861543439327, -0.5533672794699669, 0.19943886743858458, 0.22301872707903386, 0.311369863525033, 0.22606055662035943, -0.10403990207705646, 0.06701846607029438, -0.35424152910709383, -0.024933685542782767, -0.09384781625121832, -0.03862832435406745, 0.2860006406903267, 0.2360120788216591, 0.29038341641426085, -0.48918922394514086, -0.03336045779287815, 0.01464572511613369, 0.1021150616928935, 0.2236661497503519, -0.0846795916557312, -0.6059114746749401, 0.08830506354570389, -0.365960530564189, -0.10970838008215651, -0.009543398767709732, 0.1708048526197672, -0.1631035700440407, -0.06899151876568795, 0.14122550655156374, 0.14058735463768243, 0.15996811022050678, 0.1577732153236866, -0.1413043113425374, -0.04300576383247971, 0.06836187783628703, 0.20906679071485995, 0.060075956769287585, 0.10452856793999672, -0.11607951186597347, -0.09404103271663189, 0.4099847935140133, -0.021713079325854777, -0.17070130594074726, -0.0646700032055378, 0.054739762423560025, -0.2596534673124552, 0.20991607680916785, 0.1873151445761323, -0.06985933491960168, -0.3813815377652645, 0.09231494665145874, -0.062328165862709284, 0.19997105933725834, 0.4043207257054746, 0.04596818126738071, 0.1328632976859808, -0.1610030449926853, 0.016190831223502754, 0.1571183966472745, 0.15813061278313398, 0.11804750491864979, -0.42839897349476813, -0.12334551960229874, -0.3257730841636658, 0.14833862595260144, 0.16761825811117886, -0.0015827247872948647, 0.2264834614470601, 0.26644622534513474, 0.016617875965312123, -0.24507481679320336, 0.2556221808306873, -0.11177562698721885, 0.10803899765014649, 0.008209565270226449, 0.2705062981694937, -0.1731190919643268, 0.3166976926848292, -0.12872652225196363, 0.23101258114911616, 0.14914055233821272] |
709.4653 | On superstatistical multiplicative-noise processes | In this manuscript we analyse the long-term probability density function of
non-stationary dynamical processes which are enclosed inward the Feller class
of processes with time varying exponents for multiplicative noise. The update
in the value of the exponent occurs in the same conditions presented by Beck
and Cohen for superstatistics. Moreover, we are able to provide a dynamical
scenario for the emergence of a generalisation of the Weibull distribution
previously introduced.
| cond-mat.stat-mech | in this manuscript we analyse the longterm probability density function of nonstationary dynamical processes which are enclosed inward the feller class of processes with time varying exponents for multiplicative noise the update in the value of the exponent occurs in the same conditions presented by beck and cohen for superstatistics moreover we are able to provide a dynamical scenario for the emergence of a generalisation of the weibull distribution previously introduced | [['in', 'this', 'manuscript', 'we', 'analyse', 'the', 'longterm', 'probability', 'density', 'function', 'of', 'nonstationary', 'dynamical', 'processes', 'which', 'are', 'enclosed', 'inward', 'the', 'feller', 'class', 'of', 'processes', 'with', 'time', 'varying', 'exponents', 'for', 'multiplicative', 'noise', 'the', 'update', 'in', 'the', 'value', 'of', 'the', 'exponent', 'occurs', 'in', 'the', 'same', 'conditions', 'presented', 'by', 'beck', 'and', 'cohen', 'for', 'superstatistics', 'moreover', 'we', 'are', 'able', 'to', 'provide', 'a', 'dynamical', 'scenario', 'for', 'the', 'emergence', 'of', 'a', 'generalisation', 'of', 'the', 'weibull', 'distribution', 'previously', 'introduced']] | [-0.11683278955834013, 0.15184129837533117, -0.10546869201861112, 0.09691763358210331, -0.01966994855320081, -0.10180357874135001, 0.06229756932548234, 0.3241008688764594, -0.27790530816927345, -0.26095434898694214, 0.06950355070466044, -0.19975090402007942, -0.1680798767475595, 0.17667152341717565, -0.07611112606147645, 0.1039063790550744, -0.019608172287993973, -0.01036634131188793, -0.03727201961348174, -0.2366450292281282, 0.35068434138428156, 0.08096091188228047, 0.23203605402943114, 0.0064049980432634625, 0.07147367059869665, -0.00815514699411644, -0.06761218925518259, 0.003767340926906015, -0.18938851104655735, 0.03568275006566669, 0.18717719220989187, 0.0954433217952946, 0.2795679871465119, -0.35435228461635787, -0.24458607439686295, 0.12703121690945307, 0.09564033104762645, 0.04301246539460049, -0.022682218963254085, -0.3108163123399439, 0.0936974135201267, -0.19335767486736075, -0.1910813791926583, -0.017249251164915696, 0.08920465264154571, 0.07822394010309182, -0.33746945448744464, 0.15125464099708577, 0.10814922015284333, 0.028531721648825725, -0.07341587099141743, -0.07421477377729517, 0.028504525212912073, 0.0970754824631231, 0.0634852456007625, -0.0317158435117191, 0.1223958135241459, -0.10513320126452706, -0.12413124676505236, 0.3053722355226186, -0.0806863779615296, -0.2064545754749905, 0.1693772327049937, -0.1891724234184539, -0.15888187093135547, 0.1205536878411986, 0.16604616381490314, 0.09741335277630896, -0.18016502234271506, 0.08980153094318, -0.02077555958948977, 0.09797631711764655, 0.07385565213281924, 0.025043416715843578, 0.13047071529263762, 0.14825643604936103, 0.043423631792547, 0.16842707744996313, -0.07523169354076537, -0.1740410809510086, -0.3193214374633742, -0.15330322715125874, -0.17254674059509392, 0.057748010647679926, -0.10568419467427434, -0.16057193697705655, 0.3992278457579898, 0.17050750930072137, 0.2188384858891368, 0.11549622627322785, 0.1925269292149378, 0.17766035009096837, 0.007879001836121922, 0.08162849042958147, 0.18070829208468048, 0.14444950175091203, 0.13004261008332627, -0.192919322187868, 0.1263354173336755, 0.0813280374867658] |
709.4654 | Deuteron Momentum Distribution in KD2HPO4 | The momentum distribution in KD2PO4(DKDP) has been measured using neutron
Compton scattering above and below the weakly first order
paraelectric-ferroelectric phase transition(T=229K). There is very litte
difference between the two distributions, and no sign of the coherence over two
locations for the proton observed in the paraelectric phase, as in KH2PO4(KDP).
We conclude that the tunnel splitting must be much less than 20mev. The width
of the distribution indicates that the effective potential for DKDP is
significantly softer than that for KDP. As electronic structure calculations
indicate that the stiffness of the potential increases with the size of the
coherent region locally undergoing soft mode fluctuations, we conclude that
there is a mass dependent quantum coherence length in both systems.
| cond-mat.other | the momentum distribution in kd2po4dkdp has been measured using neutron compton scattering above and below the weakly first order paraelectricferroelectric phase transitiont229k there is very litte difference between the two distributions and no sign of the coherence over two locations for the proton observed in the paraelectric phase as in kh2po4kdp we conclude that the tunnel splitting must be much less than 20mev the width of the distribution indicates that the effective potential for dkdp is significantly softer than that for kdp as electronic structure calculations indicate that the stiffness of the potential increases with the size of the coherent region locally undergoing soft mode fluctuations we conclude that there is a mass dependent quantum coherence length in both systems | [['the', 'momentum', 'distribution', 'in', 'kd2po4dkdp', 'has', 'been', 'measured', 'using', 'neutron', 'compton', 'scattering', 'above', 'and', 'below', 'the', 'weakly', 'first', 'order', 'paraelectricferroelectric', 'phase', 'transitiont229k', 'there', 'is', 'very', 'litte', 'difference', 'between', 'the', 'two', 'distributions', 'and', 'no', 'sign', 'of', 'the', 'coherence', 'over', 'two', 'locations', 'for', 'the', 'proton', 'observed', 'in', 'the', 'paraelectric', 'phase', 'as', 'in', 'kh2po4kdp', 'we', 'conclude', 'that', 'the', 'tunnel', 'splitting', 'must', 'be', 'much', 'less', 'than', '20mev', 'the', 'width', 'of', 'the', 'distribution', 'indicates', 'that', 'the', 'effective', 'potential', 'for', 'dkdp', 'is', 'significantly', 'softer', 'than', 'that', 'for', 'kdp', 'as', 'electronic', 'structure', 'calculations', 'indicate', 'that', 'the', 'stiffness', 'of', 'the', 'potential', 'increases', 'with', 'the', 'size', 'of', 'the', 'coherent', 'region', 'locally', 'undergoing', 'soft', 'mode', 'fluctuations', 'we', 'conclude', 'that', 'there', 'is', 'a', 'mass', 'dependent', 'quantum', 'coherence', 'length', 'in', 'both', 'systems']] | [-0.13036665663219474, 0.2489654216754796, -0.08582809749400597, 0.09083255842741547, 0.005138348137702921, -0.08248291198507449, 0.0313090068832088, 0.4193308799174325, -0.22958526933758422, -0.2853219151288143, 0.04387535223414206, -0.3119158568503014, -0.07754536035896183, 0.21213024791835905, 0.04940606785535708, 0.004858166043614519, 0.006023124223655282, 0.04095974674143282, -0.101538099094012, -0.1510283577111389, 0.3314818531326982, 0.05572100945824661, 0.2912860389895223, 0.09518787219863513, 0.05472936603072067, 0.016763849288289404, 0.05612483710564416, 0.02520173802522236, -0.08673174405559056, 0.04204497129078312, 0.20930683219219268, 0.019436571777172, 0.21619167046195925, -0.37680738671393743, -0.22511212825614574, 0.10492019704543054, 0.16272425939000798, 0.09243479418640571, -0.05813627885774998, -0.21013136510937958, 0.0882839883822177, -0.16212717356995263, -0.11605206634929596, -0.03450105922569617, 0.05691542055514031, -0.007856679494203678, -0.21631763963078215, 0.10902012785739097, 0.042084318778381265, 0.02250775117731948, -0.07481916387693892, -0.15285264699848305, -0.05331362577773438, 0.08502146563490708, 0.05676166793724907, 0.06256837980291838, 0.1298112159691237, -0.1382225758420175, -0.06780847402064707, 0.35851876657648846, -0.06952082269633357, -0.12841656624243178, 0.14837253599523983, -0.21751939844950263, -0.07882650037309163, 0.19978558040898423, 0.09737605398424484, 0.08788786655500659, -0.09705193349660036, 0.02043951625116812, 0.00795800156955575, 0.2497634491080354, 0.07360688502225897, 0.07256079459028993, 0.19046563437963226, 0.1872324261178086, 0.06319580785127292, 0.12770540322426, -0.1459567379366992, -0.12011774116324196, -0.27290711761050823, -0.12440788645923523, -0.18864259640420264, 0.024044124726687783, -0.08000757626296977, -0.14596257304194674, 0.35870384392007415, 0.131537441049847, 0.22024456848358287, 0.015545695630737162, 0.2764103961787347, 0.13782957538556917, 0.10931933011281593, 0.08123826292536125, 0.3081818845701115, 0.14241150612962947, 0.09704836683873698, -0.279477058504387, 0.11578467438109862, -0.031136734238504594] |
709.4655 | Mining for trees in a graph is NP-complete | Mining for trees in a graph is shown to be NP-complete.
| cs.DB cs.AI | mining for trees in a graph is shown to be npcomplete | [['mining', 'for', 'trees', 'in', 'a', 'graph', 'is', 'shown', 'to', 'be', 'npcomplete']] | [-0.06916450674179941, 0.08360263332724571, -0.1197733421894637, 0.15704152128786186, -0.2402517804029313, -0.14285020407458598, 0.04356053403832696, 0.48915747756307776, -0.3885436769236218, -0.27788879282095214, 0.1650533358121968, -0.26892368211834267, -0.20302105695009232, 0.20160152356732974, -0.188268527303907, 0.053605009547688744, 0.17897994342175397, 0.17593961717052894, 0.17292841388420624, -0.33208876151051797, 0.2188240878961303, -0.017684845592487942, 0.22961768999018453, 0.1467209422791546, 0.02246277406811714, -0.021145746450532566, -0.004098849540407007, 0.15464164316654205, -0.07740202677351507, 0.02003284670751203, 0.5318616262891076, 0.2522798515856266, 0.20030854608524928, -0.32701922970061953, -0.16785610602660614, 0.2992516058412465, 0.20377647478810765, 0.1457802223210985, 0.02816182239489122, -0.20150083057921042, 0.2393035440367054, -0.09757821261882782, 0.03213288550349799, -0.03925122997977517, 0.20679225027561188, -0.07073331708935174, -0.37375893714753067, -0.09197143829342994, 0.083714784800329, 0.016681881198151546, 0.08232580091465604, -0.11566893620924516, 0.009109097786925056, 0.028610166627913713, -0.06135309074836021, 0.12958710970865053, -0.013134198263287544, -0.14457838525148956, -0.28408012742345984, 0.4364282935857773, 0.06099400330673565, -0.2335991459813985, 0.09166837441311641, -0.011148202995007689, -0.33532861281525006, 0.10572827438061888, 0.1445151621645147, 0.15017578547651117, -0.2163332158868963, 0.10178022357550534, -0.05245858972722834, 0.18062940781766718, 0.1775094826113094, -0.17449374971064655, 0.15973461859605528, 0.35178086534142494, 0.22931120544672012, 0.2769398146457123, 0.10135131126100366, 0.013057326728647406, -0.054741152160039004, -0.09043398093093526, -0.25493185967206955, -0.032215074974704876, -0.19136514180255207, -0.23206409558770247, 0.3291370164264332, 0.150255129926584, 0.13615657312964852, 0.12224719910459085, 0.20651900429617276, 0.09161657983945175, 0.12089887202124704, 0.20400405323810197, 0.11785573004321619, 0.2109376791525971, 0.021026620810682125, -0.08595310054211454, 0.12637683154422452, 0.08405579753558744] |
709.4656 | Nonextensive statistical mechanics and central limit theorems I -
Convolution of independent random variables and q-product | In this article we review the standard versions of the Central and of the
Levy-Gnedenko Limit Theorems, and illustrate their application to the
convolution of independent random variables associated with the distribution
known as q-Gaussian. This distribution emerges upon extremisation of the
nonadditive entropy, basis of nonextensive statistical mechanics. It has a
finite variance for q < 5/3, and an infinite one for q > 5/3. We exhibit that,
in the case of (standard) independence, the q-Gaussian has either the Gaussian
(if q < 5/3) or the a-stable Levy distributions (if q > 5/3) as its attractor
in probability space. Moreover, we review a generalisation of the product, the
q-product, which plays a central role in the approach of the specially
correlated variables emerging within the nonextensive theory.
| cond-mat.soft | in this article we review the standard versions of the central and of the levygnedenko limit theorems and illustrate their application to the convolution of independent random variables associated with the distribution known as qgaussian this distribution emerges upon extremisation of the nonadditive entropy basis of nonextensive statistical mechanics it has a finite variance for q 53 and an infinite one for q 53 we exhibit that in the case of standard independence the qgaussian has either the gaussian if q 53 or the astable levy distributions if q 53 as its attractor in probability space moreover we review a generalisation of the product the qproduct which plays a central role in the approach of the specially correlated variables emerging within the nonextensive theory | [['in', 'this', 'article', 'we', 'review', 'the', 'standard', 'versions', 'of', 'the', 'central', 'and', 'of', 'the', 'levygnedenko', 'limit', 'theorems', 'and', 'illustrate', 'their', 'application', 'to', 'the', 'convolution', 'of', 'independent', 'random', 'variables', 'associated', 'with', 'the', 'distribution', 'known', 'as', 'qgaussian', 'this', 'distribution', 'emerges', 'upon', 'extremisation', 'of', 'the', 'nonadditive', 'entropy', 'basis', 'of', 'nonextensive', 'statistical', 'mechanics', 'it', 'has', 'a', 'finite', 'variance', 'for', 'q', '53', 'and', 'an', 'infinite', 'one', 'for', 'q', '53', 'we', 'exhibit', 'that', 'in', 'the', 'case', 'of', 'standard', 'independence', 'the', 'qgaussian', 'has', 'either', 'the', 'gaussian', 'if', 'q', '53', 'or', 'the', 'astable', 'levy', 'distributions', 'if', 'q', '53', 'as', 'its', 'attractor', 'in', 'probability', 'space', 'moreover', 'we', 'review', 'a', 'generalisation', 'of', 'the', 'product', 'the', 'qproduct', 'which', 'plays', 'a', 'central', 'role', 'in', 'the', 'approach', 'of', 'the', 'specially', 'correlated', 'variables', 'emerging', 'within', 'the', 'nonextensive', 'theory']] | [-0.06275384363953054, 0.14211015743726382, -0.1425473864012345, 0.08303893350890072, 0.01150091377851682, -0.1073498283020728, 0.05125253828766763, 0.2751952992237317, -0.27111072514236456, -0.23885636730498172, 0.08219213713323925, -0.2848886357226629, -0.12425357461679817, 0.16275537141780483, -0.0904119028653041, 0.057067782268386213, -0.003365970273479456, 0.09391936892643571, -0.0634344275188973, -0.21927000428512086, 0.33342704335530476, 0.05106475817539343, 0.27827614553583163, -0.019606302602110597, 0.10900939957852043, 0.06055885929674879, -0.04697540727618143, 0.017638106792322854, -0.14054340557451975, 0.11156387327662934, 0.19996435109173832, 0.11871645169003017, 0.3032048137411778, -0.32703380874259685, -0.19505017076437248, 0.15218963046327263, 0.15278935972818863, 0.026801321771927178, -0.011766059059134828, -0.22283756454490367, 0.06392163235118718, -0.25348589959179574, -0.17086382064877487, -0.06141601654519213, 0.07714595611214758, 0.05618083553494719, -0.26697231841281177, 0.10998523270908167, 0.14708250492992925, 0.058054992694377416, -0.03274469345531661, -0.15005373163527347, 0.0039979707018086095, 0.0770406187833779, 0.0550757984979063, 0.020316173833590453, 0.13136734086565854, -0.13722745407509004, -0.1263383640983422, 0.34806382415316456, -0.053338385005367965, -0.22860557280056845, 0.1486211401046958, -0.16861164136373294, -0.17228424538502363, 0.0708319745745843, 0.13080811326778152, 0.0789911634462878, -0.10658638124785773, 0.15970982790487342, -0.05687100224469493, 0.12993962680769525, 0.057273286101370446, 0.051642214822605614, 0.16813362380906152, 0.1121207290609193, 0.03561376261608145, 0.16346508003317, -0.10157066161935482, -0.17252356876293576, -0.3630314503561675, -0.16678125696040016, -0.21546758779483596, 0.09271091409974043, -0.1495232127898617, -0.21126297511523817, 0.36915861539981837, 0.12439148940668418, 0.19165512471842178, 0.04667183800838978, 0.21151978767863133, 0.17264255502533804, -0.0005305499023932024, 0.06725607550233542, 0.18308726851109083, 0.20197017920937965, 0.08111443183748279, -0.1429358198103018, 0.04711202706959916, 0.047268109850403736] |
709.4657 | Power-law Behavior of High Energy String Scatterings in Compact Spaces | We calculate high energy massive scattering amplitudes of closed bosonic
string compactified on the torus. We obtain infinite linear relations among
high energy scattering amplitudes. For some kinematic regimes, we discover that
some linear relations break down and, simultaneously, the amplitudes enhance to
power-law behavior due to the space-time T-duality symmetry in the compact
direction. This result is consistent with the coexistence of the linear
relations and the softer exponential fall-off behavior of high energy string
scattering amplitudes as we pointed out prevously. It is also reminiscent of
hard (power-law) string scatterings in warped spacetime proposed by Polchinski
and Strassler.
| hep-th | we calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus we obtain infinite linear relations among high energy scattering amplitudes for some kinematic regimes we discover that some linear relations break down and simultaneously the amplitudes enhance to powerlaw behavior due to the spacetime tduality symmetry in the compact direction this result is consistent with the coexistence of the linear relations and the softer exponential falloff behavior of high energy string scattering amplitudes as we pointed out prevously it is also reminiscent of hard powerlaw string scatterings in warped spacetime proposed by polchinski and strassler | [['we', 'calculate', 'high', 'energy', 'massive', 'scattering', 'amplitudes', 'of', 'closed', 'bosonic', 'string', 'compactified', 'on', 'the', 'torus', 'we', 'obtain', 'infinite', 'linear', 'relations', 'among', 'high', 'energy', 'scattering', 'amplitudes', 'for', 'some', 'kinematic', 'regimes', 'we', 'discover', 'that', 'some', 'linear', 'relations', 'break', 'down', 'and', 'simultaneously', 'the', 'amplitudes', 'enhance', 'to', 'powerlaw', 'behavior', 'due', 'to', 'the', 'spacetime', 'tduality', 'symmetry', 'in', 'the', 'compact', 'direction', 'this', 'result', 'is', 'consistent', 'with', 'the', 'coexistence', 'of', 'the', 'linear', 'relations', 'and', 'the', 'softer', 'exponential', 'falloff', 'behavior', 'of', 'high', 'energy', 'string', 'scattering', 'amplitudes', 'as', 'we', 'pointed', 'out', 'prevously', 'it', 'is', 'also', 'reminiscent', 'of', 'hard', 'powerlaw', 'string', 'scatterings', 'in', 'warped', 'spacetime', 'proposed', 'by', 'polchinski', 'and', 'strassler']] | [-0.17347254256031128, 0.21526511871453488, -0.13036390315421453, 0.19699825728994164, -0.109771878143415, -0.16074728297841068, 0.034472177783497655, 0.33821867161543306, -0.2228636472401294, -0.26041148137301207, 0.03281169344972104, -0.2799808357729379, -0.12807539353297667, 0.13858930296217553, -0.010958675821923246, 0.05438000832054049, -0.042157996728113205, -0.007015198262201415, -0.09912050855722317, -0.20225546305359463, 0.3369748021635895, 0.05274534998273458, 0.3160389129429905, 0.04700888092206283, 0.08304954206364022, 0.06020088564143563, -0.0457771901850297, -0.007851903561991875, -0.1370006894738786, 0.06722914649531095, 0.24431420221567304, 0.01790323315865614, 0.05241665510329032, -0.43602598112339924, -0.20957907591240876, 0.07009314399946368, 0.22001735808685272, 0.09525619078465182, 0.02836149277499491, -0.2232348199162369, 0.03804755695587532, -0.17818291929804467, -0.2266180925964933, -0.09824960282533382, 0.0675222147726501, -0.04316025782809264, -0.19770789166884215, 0.11706321792544166, 0.05195637218974004, -0.0003977415829219601, -0.06941152453384918, -0.032062952580739455, -0.036646856905215165, 0.04021678633536353, 0.1625448195028561, 0.01814503592881139, 0.08249358900215928, -0.15113597586892094, -0.09211144463224995, 0.31818338878208186, -0.07877842138869444, -0.16740392775020815, 0.17513434026587868, -0.1746952666647055, -0.17944210954716033, 0.1826704925754004, 0.12917902181395377, 0.0933606209129923, -0.12388883996754885, 0.15848224587336351, -0.012510708829557354, 0.13211175139918171, 0.15622794862385048, 0.08664208892826931, 0.2329582133368034, 0.09810027536098855, -0.020056692968037994, 0.1548270117703148, -0.0832079921983126, -0.10418856152888349, -0.35658306244647864, -0.06029273388493392, -0.09578935802923609, 0.0992410916910328, -0.1793301195052342, -0.14149553255375588, 0.3080792911915165, 0.05935726043514818, 0.218698908443177, 0.09570646945668168, 0.213996545966677, 0.17341940731134717, 0.07290117773744795, 0.11721056448952753, 0.26206183799770616, 0.16870822959033904, 0.09710258087895886, -0.2840398724350815, -0.08449271501446462, 0.07786972769959406] |
709.4658 | Structure Factor of the 3D Random Field XY Model | We have performed Monte Carlo studies of the 3D random field XY model on $L
\times L \times L$ simple cubic lattices, with random field strengths of $h_r$
= 1 and 2. We present results for the angle-averaged magnetic structure factor,
$S (k)$ at $L = 64$. Our results appear to indicate a phase transition into a
ferromagnetic state. This is made possible by the existence of a Griffiths
singularity. It appears that at the phase transition $M^2$ jumps to zero
discontinuously, with a latent heat which is probably subextensive.
| cond-mat.dis-nn cond-mat.stat-mech | we have performed monte carlo studies of the 3d random field xy model on l times l times l simple cubic lattices with random field strengths of h_r 1 and 2 we present results for the angleaveraged magnetic structure factor s k at l 64 our results appear to indicate a phase transition into a ferromagnetic state this is made possible by the existence of a griffiths singularity it appears that at the phase transition m2 jumps to zero discontinuously with a latent heat which is probably subextensive | [['we', 'have', 'performed', 'monte', 'carlo', 'studies', 'of', 'the', '3d', 'random', 'field', 'xy', 'model', 'on', 'l', 'times', 'l', 'times', 'l', 'simple', 'cubic', 'lattices', 'with', 'random', 'field', 'strengths', 'of', 'h_r', '1', 'and', '2', 'we', 'present', 'results', 'for', 'the', 'angleaveraged', 'magnetic', 'structure', 'factor', 's', 'k', 'at', 'l', '64', 'our', 'results', 'appear', 'to', 'indicate', 'a', 'phase', 'transition', 'into', 'a', 'ferromagnetic', 'state', 'this', 'is', 'made', 'possible', 'by', 'the', 'existence', 'of', 'a', 'griffiths', 'singularity', 'it', 'appears', 'that', 'at', 'the', 'phase', 'transition', 'm2', 'jumps', 'to', 'zero', 'discontinuously', 'with', 'a', 'latent', 'heat', 'which', 'is', 'probably', 'subextensive']] | [-0.18915272135795516, 0.20544408581918105, -0.05420402198267931, 0.012929111217751844, -0.04552383101227778, -0.16985909731804646, 0.08068465668739835, 0.4100073925642805, -0.21844368235377426, -0.2682283697014844, 0.0739127331180498, -0.28639967972412705, -0.08710846847812222, 0.1362734638942956, 0.08369373623281717, -0.009261360595701262, 0.005465144048106264, 0.04622181976446882, -0.11211900731392564, -0.23602933667610737, 0.2643888631533958, -0.002309207942082801, 0.21559809312351386, -0.00014710841721601108, 0.05939022855917839, -0.02529743369351226, 0.04516378754686395, 0.030256726023005533, -0.20512511153926674, 0.004274436098057777, 0.21885102842299436, -0.02172596255761825, 0.21818212269731288, -0.3635430839336054, -0.22577849064360966, 0.09503526396160437, 0.1048950033410537, 0.08232802895442794, 0.005932181463735601, -0.29212291993396566, 0.08710425119410171, -0.10263309769884059, -0.1394570309996859, -0.05810483713817534, 0.058737609718016094, -0.03030672085217454, -0.2889784509190411, 0.08429722238956443, 0.11795918278882957, 0.08508084546139633, 0.01955461583830501, -0.16081066211071712, -0.04154221266666851, 0.05593645312315361, 0.027021997674389488, 0.13460544078737835, 0.11034719069721177, -0.07627113408737139, -0.10169339472618462, 0.34344477010679175, -0.07847609884232622, -0.11309001633939757, 0.17183763021603227, -0.20137775426370685, -0.11486663899003444, 0.21981597819037482, 0.10371206470087847, 0.09660489282793026, -0.05669134119803361, 0.10366081005023178, -0.022304458152079445, 0.16864162631629204, -0.02035616363652728, -0.04748446761566976, 0.18779822209299626, 0.13418013681869276, 0.024723586576080626, 0.14903024920071897, -0.1236496995525985, -0.10128799132772573, -0.30652808531356807, -0.1347320423969491, -0.21562252553518524, 0.1326155285139314, -0.1296395620657594, -0.18348855963929303, 0.35087688178332016, 0.14205991044979205, 0.2627083602551879, 0.03482747396099677, 0.2091102620629086, 0.10338270160057371, 0.06308559722542255, 0.09202501099736599, 0.15769464612557468, 0.17947167449429716, 0.10018094684611159, -0.2173557573484934, -0.007782657308615109, 0.06731754710993053] |
709.4659 | Stellar Populations Found in the Central kpc of Four Luminous Compact
Blue Galaxies at Intermediate Redshift | We investigate the star formation history of the central regions of four
Luminous Compact Blue Galaxies (LCBGs). LCBGs are blue (B-V<0.6), compact
(MU_B<21.5 mag arcsec^-2) galaxies with absolute magnitudes M_B brighter than
-17.5. The LCBGs analyzed here are located at 0.436<z<0.525. They are among the
most luminous (M_B < -20.5), blue (B-V < 0.4) and high surface brightness (MU_B
< 19.0 mag arcsec^-2) of this population. The observational data used were
obtained with the HST/STIS spectrograph, the HST/WF/PC-2 camera and the
HST/NICMOS first camera. We find evidence for multiple stellar populations. One
of them is identified as the ionizing population, and the other one corresponds
to the underlying stellar generation.
The estimated masses of the inferred populations are compatible with the
dynamical masses, which are typically 2--10x 10^9 M_sun. Our models also
indicate that the first episodes of star formation the presented LCBGs
underwent happened between 5 and 7 Gyr ago.
We compare the stellar populations found in LCBGs with the stellar
populations present in bright, local HII galaxies, nearby spheroidal systems
and Blue Compact Dwarf Galaxies. It turns out that the underlying stellar
populations of LCBGs are similar yet bluer to those of local HII galaxies. It
is also the case that the passive color evolution of the LCBGs could convert
them into local Spheroidal galaxies if no further episode of star formation
takes place. Our results help to impose constraints on evolutionary scenarios
for the population of LCBGs found commonly at intermediate redshifts.
| astro-ph | we investigate the star formation history of the central regions of four luminous compact blue galaxies lcbgs lcbgs are blue bv06 compact mu_b215 mag arcsec2 galaxies with absolute magnitudes m_b brighter than 175 the lcbgs analyzed here are located at 0436z0525 they are among the most luminous m_b 205 blue bv 04 and high surface brightness mu_b 190 mag arcsec2 of this population the observational data used were obtained with the hststis spectrograph the hstwfpc2 camera and the hstnicmos first camera we find evidence for multiple stellar populations one of them is identified as the ionizing population and the other one corresponds to the underlying stellar generation the estimated masses of the inferred populations are compatible with the dynamical masses which are typically 210x 109 m_sun our models also indicate that the first episodes of star formation the presented lcbgs underwent happened between 5 and 7 gyr ago we compare the stellar populations found in lcbgs with the stellar populations present in bright local hii galaxies nearby spheroidal systems and blue compact dwarf galaxies it turns out that the underlying stellar populations of lcbgs are similar yet bluer to those of local hii galaxies it is also the case that the passive color evolution of the lcbgs could convert them into local spheroidal galaxies if no further episode of star formation takes place our results help to impose constraints on evolutionary scenarios for the population of lcbgs found commonly at intermediate redshifts | [['we', 'investigate', 'the', 'star', 'formation', 'history', 'of', 'the', 'central', 'regions', 'of', 'four', 'luminous', 'compact', 'blue', 'galaxies', 'lcbgs', 'lcbgs', 'are', 'blue', 'bv06', 'compact', 'mu_b215', 'mag', 'arcsec2', 'galaxies', 'with', 'absolute', 'magnitudes', 'm_b', 'brighter', 'than', '175', 'the', 'lcbgs', 'analyzed', 'here', 'are', 'located', 'at', '0436z0525', 'they', 'are', 'among', 'the', 'most', 'luminous', 'm_b', '205', 'blue', 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709.466 | Operating molecular transistors as heat pumps | We study heat transport in transistor-like devices composed of two reservoirs
and a gate electrode, with a ballistic electronic one-dimensional system
connected between the two reservoirs and interacting with a laser field. We
derive in a simple way an equation for the heat flux in terms of the
Floquet-Green operator of the system. As a case example, we investigate a
two-level transistor and find that the laser field can produce a net heat flow
out of either one of the reservoirs. The direction of this flow is determined
by the gate voltage. We study numerically the dependence of this heat-pump on
the relevant parameters of the system and show that there is a minimum
temperature below which it does not operate.
| cond-mat.mes-hall | we study heat transport in transistorlike devices composed of two reservoirs and a gate electrode with a ballistic electronic onedimensional system connected between the two reservoirs and interacting with a laser field we derive in a simple way an equation for the heat flux in terms of the floquetgreen operator of the system as a case example we investigate a twolevel transistor and find that the laser field can produce a net heat flow out of either one of the reservoirs the direction of this flow is determined by the gate voltage we study numerically the dependence of this heatpump on the relevant parameters of the system and show that there is a minimum temperature below which it does not operate | [['we', 'study', 'heat', 'transport', 'in', 'transistorlike', 'devices', 'composed', 'of', 'two', 'reservoirs', 'and', 'a', 'gate', 'electrode', 'with', 'a', 'ballistic', 'electronic', 'onedimensional', 'system', 'connected', 'between', 'the', 'two', 'reservoirs', 'and', 'interacting', 'with', 'a', 'laser', 'field', 'we', 'derive', 'in', 'a', 'simple', 'way', 'an', 'equation', 'for', 'the', 'heat', 'flux', 'in', 'terms', 'of', 'the', 'floquetgreen', 'operator', 'of', 'the', 'system', 'as', 'a', 'case', 'example', 'we', 'investigate', 'a', 'twolevel', 'transistor', 'and', 'find', 'that', 'the', 'laser', 'field', 'can', 'produce', 'a', 'net', 'heat', 'flow', 'out', 'of', 'either', 'one', 'of', 'the', 'reservoirs', 'the', 'direction', 'of', 'this', 'flow', 'is', 'determined', 'by', 'the', 'gate', 'voltage', 'we', 'study', 'numerically', 'the', 'dependence', 'of', 'this', 'heatpump', 'on', 'the', 'relevant', 'parameters', 'of', 'the', 'system', 'and', 'show', 'that', 'there', 'is', 'a', 'minimum', 'temperature', 'below', 'which', 'it', 'does', 'not', 'operate']] | [-0.19718151493774105, 0.13935176278185585, -0.054518232494592665, -0.01752351609369119, 0.015803278736226882, -0.15553290344929943, 0.0678357572760433, 0.3789993625813319, -0.2642441492042659, -0.27684271580850084, 0.06314708605350461, -0.2909630964044482, -0.12211265369551257, 0.2568027166669102, -0.0018472978612408043, -0.01311194656494384, 0.03700059010686042, 0.039235012153706825, -0.053280967997852716, -0.16921087397107235, 0.31515873529327415, 0.013833762934276213, 0.2661446413568532, 0.07923747929841435, 0.14355316179571673, -0.03935968028575492, 0.07008698668408518, 0.04967612422381838, -0.11769115501338093, 0.06617561117745936, 0.19152206511547168, -0.015591836313251405, 0.24186614813903967, -0.4523051870521158, -0.2317711434327066, 0.08341016624278079, 0.1000496374986445, 0.11278156425008395, -0.06484390305219373, -0.20173087181950297, 0.0219694913510466, -0.17462066907901316, -0.10502905252784937, -0.04148430815742662, -0.003753465573148181, 0.057991710976542286, -0.2521007868732947, 0.045901530627937365, 0.07690189649195721, 0.038772476154069105, -0.05228845228230057, -0.03767952290460622, -0.03165308922374, 0.11129935508579365, -0.013017565846287956, 0.01291147714946419, 0.18888639960205184, -0.14852542329463175, -0.07255150154232978, 0.33213529192144053, -0.11806082044592282, -0.19509444736637913, 0.1860877763867999, -0.16070337028456075, -0.028181549266446383, 0.07292498534079642, 0.15296358641935512, 0.13093925236025825, -0.22876388696798433, 0.053704526809209105, -0.053298293352903175, 0.17494143925699365, 0.03221876916553204, 0.007266911126983662, 0.2455722274336343, 0.20043317572951005, 0.10545341995699951, 0.2122159808098028, -0.08312509072905717, -0.06413817379701262, -0.3080854429708173, -0.19592206744030893, -0.1903008176634709, 0.09863684661504521, -0.04553608465891254, -0.18578526491764932, 0.44181101735060413, 0.17142221630783752, 0.19386854538073142, -0.01737301471584942, 0.30137079417084656, 0.1942506580565047, 0.06759438025765122, 0.11097701903975879, 0.21076834152918308, 0.15877819546537164, 0.10727224130920755, -0.3030908961353513, 0.018694108515046538, 0.011265839958408226] |
709.4661 | Nonextensive statistical mechanics and central limit theorems II -
Convolution of q-independent random variables | In this article we review recent generalisations of the central limit theorem
for the sum of specially correlated (or q-independent) variables, focusing on q
greater or equal than 1. Specifically, this kind of correlation turns the
probability density function known as q-Gaussian, which emerges upon
maximisation of the entropy Sq, into an attractor in probability space.
Moreover, we also discuss a q-generalisation of a-stable Levy distributions
which can as well be stable for this special kind of correlation.Within this
context, we verify the emergence of a triplet of entropic indices which relate
the form of the attractor, the correlation, and the scaling rate, similar to
the q-triplet that connects the entropic indices characterising the sensitivity
to initial conditions, the stationary state, and relaxation to the stationary
state in anomalous systems.
| cond-mat.stat-mech | in this article we review recent generalisations of the central limit theorem for the sum of specially correlated or qindependent variables focusing on q greater or equal than 1 specifically this kind of correlation turns the probability density function known as qgaussian which emerges upon maximisation of the entropy sq into an attractor in probability space moreover we also discuss a qgeneralisation of astable levy distributions which can as well be stable for this special kind of correlationwithin this context we verify the emergence of a triplet of entropic indices which relate the form of the attractor the correlation and the scaling rate similar to the qtriplet that connects the entropic indices characterising the sensitivity to initial conditions the stationary state and relaxation to the stationary state in anomalous systems | [['in', 'this', 'article', 'we', 'review', 'recent', 'generalisations', 'of', 'the', 'central', 'limit', 'theorem', 'for', 'the', 'sum', 'of', 'specially', 'correlated', 'or', 'qindependent', 'variables', 'focusing', 'on', 'q', 'greater', 'or', 'equal', 'than', '1', 'specifically', 'this', 'kind', 'of', 'correlation', 'turns', 'the', 'probability', 'density', 'function', 'known', 'as', 'qgaussian', 'which', 'emerges', 'upon', 'maximisation', 'of', 'the', 'entropy', 'sq', 'into', 'an', 'attractor', 'in', 'probability', 'space', 'moreover', 'we', 'also', 'discuss', 'a', 'qgeneralisation', 'of', 'astable', 'levy', 'distributions', 'which', 'can', 'as', 'well', 'be', 'stable', 'for', 'this', 'special', 'kind', 'of', 'correlationwithin', 'this', 'context', 'we', 'verify', 'the', 'emergence', 'of', 'a', 'triplet', 'of', 'entropic', 'indices', 'which', 'relate', 'the', 'form', 'of', 'the', 'attractor', 'the', 'correlation', 'and', 'the', 'scaling', 'rate', 'similar', 'to', 'the', 'qtriplet', 'that', 'connects', 'the', 'entropic', 'indices', 'characterising', 'the', 'sensitivity', 'to', 'initial', 'conditions', 'the', 'stationary', 'state', 'and', 'relaxation', 'to', 'the', 'stationary', 'state', 'in', 'anomalous', 'systems']] | [-0.10246988828293979, 0.13921701850370027, -0.11826866541377967, 0.11837556807222427, -0.011050999359213165, -0.10292516584013356, 0.052710469341036514, 0.28670355464419117, -0.25441205774768605, -0.2439461655822015, 0.1075222455592666, -0.258190042224669, -0.14325468558308785, 0.1572975680419404, -0.050605197586264694, 0.05271782792897284, -0.024233414953414467, 0.08041972108912887, -0.08491924946611107, -0.20302252412511734, 0.3663890743337106, 0.05146938528196188, 0.2952480656822445, 0.01940910576740862, 0.09802895357461239, 0.017987815192100243, -0.011451209038568777, 0.04463221818491547, -0.16095352842449984, 0.10515407251659781, 0.18983929605838057, 0.1012329950754065, 0.2502544970884628, -0.3546023645394598, -0.20196434899116866, 0.15478857504149346, 0.15966176231449936, 0.05620511514371174, 0.012398883171954367, -0.2658494854658784, 0.0462538677475095, -0.18644418529765971, -0.17592933717969572, -0.07582345960327075, 0.06257849217581679, 0.05652961576197413, -0.28256876904924866, 0.11106458000608654, 0.10897219905837119, -0.0008051219119806774, -0.07213657353804592, -0.12217138218693435, -0.013413483571639517, 0.09566069401989807, 0.07243264076896594, 0.02527283066228847, 0.10137401471001795, -0.14878488113026833, -0.11211136160272872, 0.31446903297910467, -0.060841843069852075, -0.1996417041955283, 0.17232636236803955, -0.17447193296902697, -0.16641308584075887, 0.08820637457483826, 0.15776059873314807, 0.114640041221719, -0.11444500331708696, 0.054383973419135145, -0.03772838480381324, 0.15315810993342893, 0.0812682295072591, 0.08147987516713329, 0.1920267297718965, 0.1178496315915254, 0.10266773602415924, 0.18903799773306673, -0.07313145835905743, -0.16644118941985653, -0.33273283526068553, -0.19455040831599035, -0.19539816547330702, 0.10002897996491811, -0.11166169461625941, -0.16059893628698774, 0.4062070623931504, 0.13974415142183716, 0.20671247075370047, 0.07185434991788497, 0.22750213915423956, 0.1772750391628506, 0.010198011332249735, 0.040588986201328225, 0.21968224550619198, 0.13262666663104028, 0.06868326331095886, -0.19800013241183478, 0.07138911154197558, 0.06745407993912522] |
709.4662 | Spectroscopy of new c,b-mesons | Masses of the lowest multiplets of c,b-mesons in S- and P-wave states with
quantum numbers JPC: 0-+, 1--, 0++, 1+-, 1++, 2++ are obtained with the help of
dispersion N/D method of heavy quark effective theory. The results are in a
good agreement with experimental data. Radiative decay widths for some states
mentioned above were calculated.
| hep-ph | masses of the lowest multiplets of cbmesons in s and pwave states with quantum numbers jpc 0 1 0 1 1 2 are obtained with the help of dispersion nd method of heavy quark effective theory the results are in a good agreement with experimental data radiative decay widths for some states mentioned above were calculated | [['masses', 'of', 'the', 'lowest', 'multiplets', 'of', 'cbmesons', 'in', 's', 'and', 'pwave', 'states', 'with', 'quantum', 'numbers', 'jpc', '0', '1', '0', '1', '1', '2', 'are', 'obtained', 'with', 'the', 'help', 'of', 'dispersion', 'nd', 'method', 'of', 'heavy', 'quark', 'effective', 'theory', 'the', 'results', 'are', 'in', 'a', 'good', 'agreement', 'with', 'experimental', 'data', 'radiative', 'decay', 'widths', 'for', 'some', 'states', 'mentioned', 'above', 'were', 'calculated']] | [-0.09227432623844255, 0.2649031830866906, 0.007352007011120969, 0.12420059276575392, 0.04927551234987649, -0.19884900101037187, 0.0493232994784855, 0.35664936707101086, -0.16472850269214673, -0.335835550962524, -0.005352836347777735, -0.3841604803096164, 0.02240066047419201, 0.14603625653650273, 0.09746697998859666, 0.1293210350061682, 0.054298156618394634, 0.06168787900189107, -0.090187304797159, -0.21116246056150306, 0.32895211852578954, -0.07132672263859687, 0.18069881126284598, 0.08905709152194587, -0.036875898727554486, -0.08079812963577834, 0.058285258727317504, -0.06258758461441506, -0.15667742228304798, 0.10715090153865856, 0.23858399023196067, 0.05422511196441271, 0.16450160924683918, -0.35976158018139276, -0.15721774161793292, 0.026872403479435227, 0.1575167252512818, 0.11998935988680882, -0.04827492248944261, -0.3057302698408338, 0.17612074840475211, -0.15420937008139762, -0.18632890021597798, -0.08151983122595331, 0.02773583418774334, 0.016825052384625783, -0.3071821620518511, 0.10401524906205437, -0.03631530528549443, 0.0663383836434646, -0.09767679837532342, -0.315486470813101, -0.055928995621136644, 0.09289381656457077, 0.05603948990729722, 0.04509138258343393, 0.056364590471441094, -0.14970972836864266, -0.1481203285807913, 0.35930745418776167, -0.09410217734561725, -0.15861840640956706, 0.10816827871921388, -0.18563325547359205, -0.11616672781211408, 0.16827460095201704, 0.06329258141023192, 0.0883715686049651, -0.04670710407874801, 0.09602109237722206, -0.027934263384138996, 0.1670781772372059, 0.05677787707271901, 0.07891006423041373, 0.1632642392407764, 0.11706844981421125, -0.08748683595860546, 0.018615769768472422, -0.09290320664136247, -0.07782221961427818, -0.37577910704368894, -0.1419845587658611, -0.14421772600405597, 0.05362664116123183, -0.06874273357547778, -0.04565411307425662, 0.3533709762787277, 0.10122164620763877, 0.2636724728752266, 0.07291434376754544, 0.22799480381337078, 0.1055763868107037, 0.026456633697009898, 0.06601974457841028, 0.26451431502090683, 0.2343734011096372, 0.08480583133006638, -0.2348064962774515, -0.05203132891858166, 0.008606738317757845] |
709.4663 | Electron coherence at low temperatures: The role of magnetic impurities | We review recent experimental progress on the saturation problem in metallic
quantum wires. In particular, we address the influence of magnetic impurities
on the electron phase coherence time. We also present new measurements of the
phase coherence time in ultra-clean gold and silver wires and analyse the
saturation of \tauphi in these samples, cognizant of the role of magnetic
scattering. For the cleanest samples, Kondo temperatures below 1 mK and
extremely-small magnetic-impurity concentration levels of less than 0.08 ppm
have to be assumed to attribute the observed saturation to the presence of
magnetic impurities.
| cond-mat.mes-hall | we review recent experimental progress on the saturation problem in metallic quantum wires in particular we address the influence of magnetic impurities on the electron phase coherence time we also present new measurements of the phase coherence time in ultraclean gold and silver wires and analyse the saturation of tauphi in these samples cognizant of the role of magnetic scattering for the cleanest samples kondo temperatures below 1 mk and extremelysmall magneticimpurity concentration levels of less than 008 ppm have to be assumed to attribute the observed saturation to the presence of magnetic impurities | [['we', 'review', 'recent', 'experimental', 'progress', 'on', 'the', 'saturation', 'problem', 'in', 'metallic', 'quantum', 'wires', 'in', 'particular', 'we', 'address', 'the', 'influence', 'of', 'magnetic', 'impurities', 'on', 'the', 'electron', 'phase', 'coherence', 'time', 'we', 'also', 'present', 'new', 'measurements', 'of', 'the', 'phase', 'coherence', 'time', 'in', 'ultraclean', 'gold', 'and', 'silver', 'wires', 'and', 'analyse', 'the', 'saturation', 'of', 'tauphi', 'in', 'these', 'samples', 'cognizant', 'of', 'the', 'role', 'of', 'magnetic', 'scattering', 'for', 'the', 'cleanest', 'samples', 'kondo', 'temperatures', 'below', '1', 'mk', 'and', 'extremelysmall', 'magneticimpurity', 'concentration', 'levels', 'of', 'less', 'than', '008', 'ppm', 'have', 'to', 'be', 'assumed', 'to', 'attribute', 'the', 'observed', 'saturation', 'to', 'the', 'presence', 'of', 'magnetic', 'impurities']] | [-0.1213936524776121, 0.2231534938277897, -0.007678948202601043, 0.044980442612081444, 0.031541964387200694, -0.11416810275285795, 0.0913977721575848, 0.402953967464567, -0.21917380361507335, -0.33640891759185704, 0.03780840336275037, -0.3344014531341932, -0.0480257764218315, 0.15822019900685996, -0.009594626539456908, 0.04201162450482771, -0.023891740668845432, 0.010651367688326226, -0.10429785595906357, -0.24927170228173015, 0.28081506163743075, 0.049168121859541426, 0.31396240796092695, 0.12765360716730356, 0.03138563137561563, -0.01373235029619067, 0.08148548164234687, 0.02150622317041721, -0.1729509034819941, 0.03144977332258056, 0.2434935573268161, -0.057279155209099736, 0.20331113927707237, -0.5030760937520573, -0.19423522594915602, 0.044779695209956935, 0.13583746673639424, 0.14197463842649613, -0.07415320680436668, -0.26560339940992256, 0.06984831727240035, -0.0693341169446226, -0.07970725121076709, -0.04691980216872468, 0.011180311751862368, -0.03475507340764487, -0.20220258564660726, 0.13013011471196878, 0.06399525000002756, 0.11056650927670861, -0.08086285924398771, -0.1455092752998274, 0.028545707722084337, 0.06603824805408236, 0.05091948717862608, 0.03465237266694506, 0.17747219413098309, -0.1300794474620332, -0.07919995438167325, 0.3070754673211805, -0.07298746900160431, -0.05051573839849762, 0.15875912296976294, -0.22912558223125876, -0.09762742907137131, 0.14530036639502292, 0.1835004406210075, 0.10181006149298721, -0.12860755429112464, 0.033270495230837735, -0.005383303829578943, 0.20119921043415062, 0.05992682156984203, 0.12034074803413723, 0.19593101581658728, 0.21849193692117208, 0.02442945839626895, 0.15404092385158225, -0.18863547399579997, -0.03323857809957718, -0.22927140574702012, -0.167290714033629, -0.1873365022412311, 0.06393041148761748, -0.05850538021026765, -0.14765187443023728, 0.3859186667888876, 0.2285694408841351, 0.19281942234124227, -0.047641570692361204, 0.26337365631855303, 0.08347171324590642, 0.05707930295317564, -0.0013823132931945785, 0.2482592286441916, 0.20285801102797832, 0.12255204000299977, -0.2915284176787702, 0.09449283239526815, -0.02924155168578289] |
709.4664 | An asymptotic-numerical approach for examining global solutions to an
ordinary differential equation | Purely numerical methods do not always provide an accurate way to find all
the global solutions to nonlinear ODE on infinite intervals. For example,
finite-difference methods fail to capture the asymptotic behavior of solutions,
which might be critical for ensuring global existence. We first show, by way of
a detailed example, how asymptotic information alone provides significant
insight into the structure of global solutions to a nonlinear ODE. Then we
propose a method for providing this missing asymptotic data to a numerical
solver, and show how the combined approach provides more detailed results than
either method alone.
| math.CA | purely numerical methods do not always provide an accurate way to find all the global solutions to nonlinear ode on infinite intervals for example finitedifference methods fail to capture the asymptotic behavior of solutions which might be critical for ensuring global existence we first show by way of a detailed example how asymptotic information alone provides significant insight into the structure of global solutions to a nonlinear ode then we propose a method for providing this missing asymptotic data to a numerical solver and show how the combined approach provides more detailed results than either method alone | [['purely', 'numerical', 'methods', 'do', 'not', 'always', 'provide', 'an', 'accurate', 'way', 'to', 'find', 'all', 'the', 'global', 'solutions', 'to', 'nonlinear', 'ode', 'on', 'infinite', 'intervals', 'for', 'example', 'finitedifference', 'methods', 'fail', 'to', 'capture', 'the', 'asymptotic', 'behavior', 'of', 'solutions', 'which', 'might', 'be', 'critical', 'for', 'ensuring', 'global', 'existence', 'we', 'first', 'show', 'by', 'way', 'of', 'a', 'detailed', 'example', 'how', 'asymptotic', 'information', 'alone', 'provides', 'significant', 'insight', 'into', 'the', 'structure', 'of', 'global', 'solutions', 'to', 'a', 'nonlinear', 'ode', 'then', 'we', 'propose', 'a', 'method', 'for', 'providing', 'this', 'missing', 'asymptotic', 'data', 'to', 'a', 'numerical', 'solver', 'and', 'show', 'how', 'the', 'combined', 'approach', 'provides', 'more', 'detailed', 'results', 'than', 'either', 'method', 'alone']] | [-0.08760564851444982, -0.058749788741853576, -0.19436372793519618, 0.12732047827064646, -0.13558985615033925, -0.1370047348042585, 0.0538641090610439, 0.3594297505339089, -0.25085035266988365, -0.3020717307406756, 0.13127755091439203, -0.2580613449945585, -0.18172850333077392, 0.24120987221459406, -0.02033565350875412, 0.0678431480479686, 0.10524053125973484, 0.017046487854479226, -0.08426528598287518, -0.22454987226063675, 0.26972175658363656, 0.02921639030472827, 0.2573086972895664, 0.0359603548902519, 0.09839752281070255, -0.03858557548950013, -0.027119302037220027, 0.036435127397519106, -0.17567013731447154, 0.12928837032739035, 0.2591181287407568, 0.14451028619288014, 0.30140299375226587, -0.4864013719650888, -0.21856039684726714, 0.10588639472688059, 0.2185861981502667, 0.17744091831354097, -0.06479863209254469, -0.2504427316070525, 0.1431304624438593, -0.15313918797356874, -0.16138283798432687, -0.21608687123072515, -0.049530425694646295, 0.006057903475425753, -0.32384142000048144, 0.08933252129300508, 0.10242711143452943, 0.04019320257891392, -0.09674732328018117, -0.06103227013414822, -0.0042756090862388465, 0.12583447973599138, 0.0439912138756403, -0.04322867507004592, 0.034745531391890086, -0.09809342432123869, -0.0822460942339997, 0.34894829473851885, -0.07313285233796761, -0.2724132829720212, 0.19803636701604754, -0.11649333633309633, -0.11706861728303057, 0.14696819235369102, 0.18022695864363544, 0.13290126746539602, -0.16320276076091722, 0.015185426219160063, -0.02134782288069885, 0.20576019623537653, -0.026322065439728117, 0.00575086919197179, 0.16789487745497644, 0.18106669825069682, 0.14893735170642816, 0.10291829282902758, -0.0024344533743077563, -0.09400822691254548, -0.3156260863407371, -0.12812512288378317, -0.09635188294329786, 0.06470489798887205, -0.10712650264166272, -0.1895087516780213, 0.39390512454064236, 0.19025026027295625, 0.18508489050220736, 0.07702500050642633, 0.32740240081299826, 0.12302107003891898, -0.002872545852988344, 0.08032683125629868, 0.21807604989747412, 0.06346917179528355, 0.09586368411414556, -0.1994086066596978, 0.0590204750187695, 0.11445300215279165] |
709.4665 | New Dual Conformally Invariant Off-Shell Integrals | Evidence has recently emerged for a hidden symmetry of scattering amplitudes
in N=4 super Yang-Mills theory called dual conformal symmetry. At weak coupling
the presence of this symmetry has been observed through five loops, while at
strong coupling the symmetry has been shown to have a natural interpretation in
terms of a T-dualized AdS_5. In this paper we study dual conformally invariant
off-shell four-point Feynman diagrams. We classify all such diagrams through
four loops and evaluate 10 new off-shell integrals in terms of Mellin-Barnes
representations, also finding explicit expressions for their infrared
singularities.
| hep-th | evidence has recently emerged for a hidden symmetry of scattering amplitudes in n4 super yangmills theory called dual conformal symmetry at weak coupling the presence of this symmetry has been observed through five loops while at strong coupling the symmetry has been shown to have a natural interpretation in terms of a tdualized ads_5 in this paper we study dual conformally invariant offshell fourpoint feynman diagrams we classify all such diagrams through four loops and evaluate 10 new offshell integrals in terms of mellinbarnes representations also finding explicit expressions for their infrared singularities | [['evidence', 'has', 'recently', 'emerged', 'for', 'a', 'hidden', 'symmetry', 'of', 'scattering', 'amplitudes', 'in', 'n4', 'super', 'yangmills', 'theory', 'called', 'dual', 'conformal', 'symmetry', 'at', 'weak', 'coupling', 'the', 'presence', 'of', 'this', 'symmetry', 'has', 'been', 'observed', 'through', 'five', 'loops', 'while', 'at', 'strong', 'coupling', 'the', 'symmetry', 'has', 'been', 'shown', 'to', 'have', 'a', 'natural', 'interpretation', 'in', 'terms', 'of', 'a', 'tdualized', 'ads_5', 'in', 'this', 'paper', 'we', 'study', 'dual', 'conformally', 'invariant', 'offshell', 'fourpoint', 'feynman', 'diagrams', 'we', 'classify', 'all', 'such', 'diagrams', 'through', 'four', 'loops', 'and', 'evaluate', '10', 'new', 'offshell', 'integrals', 'in', 'terms', 'of', 'mellinbarnes', 'representations', 'also', 'finding', 'explicit', 'expressions', 'for', 'their', 'infrared', 'singularities']] | [-0.16924995600160772, 0.16837241213207924, -0.0801116390534306, 0.12025324545390102, -0.1128433624492778, -0.0934358820649645, -0.02584951073031432, 0.38894577510654926, -0.14180859839243273, -0.24473447204437307, 0.07236641762097196, -0.2875629753445185, -0.2249690412633842, 0.083949977910066, 0.006234102266570253, 0.06766776189268116, -0.012464281947662434, 0.07018063951447832, -0.138997247437596, -0.21946835356403985, 0.3025717289908038, -0.04868641147710463, 0.2959498336078018, 0.10906771353135507, 0.14511614076552853, 0.0312691491287482, -0.040173616715937215, -0.004399695674017552, -0.08443554520847336, 0.09910153695231964, 0.2522170906686174, 0.04283579756375602, 0.12128817883535459, -0.42046795493011835, -0.20203846895576566, 0.07929661182025748, 0.25522130361247447, 0.12641955124745044, -0.03410602738249607, -0.2637475563804068, 0.0636534424128151, -0.18066980277178107, -0.1729953103969174, -0.1383128510337443, 0.04148432394234283, -0.1554776444581778, -0.2230456161002318, 0.023872528552836288, -0.007563696533281316, 0.10124658383629336, -0.005007358087647346, -0.0684720322987946, -0.07682343291979964, 0.08138033145317627, 0.10628944193388545, 0.05573798444432517, 0.029808852711432084, -0.20037807854352788, -0.19211822783233978, 0.3194177656419455, -0.05686259048525244, -0.19384843855094847, 0.17690015060987363, -0.1419481110749065, -0.25992269702606224, 0.15925356276052935, 0.13016440983240804, 0.1588113153834016, -0.2194560744589375, 0.22201836123118698, -0.0438978544246125, 0.04598425971519362, 0.16614399434778318, 0.08190810137618613, 0.22804810736648817, 0.0692179153863621, -0.029870317114757433, 0.20332131205346957, -0.02205039957357991, -0.11237819519354611, -0.3825439779708783, -0.15146760892884065, -0.062012074093374434, 0.07732131954292537, -0.11521740486549328, -0.1720989769714589, 0.38105137599131433, 0.0804282322903702, 0.17126030054491675, 0.05415868523570719, 0.22063562548368848, 0.1506996480948342, 0.1687477528022462, 0.036713191813799326, 0.2786928708715144, 0.18578983937460247, 0.0361356376782961, -0.237605501532114, -0.06277231801481496, 0.18807698795772207] |
709.4666 | Low Temperature Shear Modulus Changes in Solid 4-He and Connection to
Supersolidity | Superfluidity, liquid flow without friction, is familiar in helium. The first
evidence for "supersolidity", its analogue in quantum solids, came from recent
torsional oscillator (TO) measurements involving 4-He. At temperatures below
200 mK, TO frequencies increased, suggesting that some of the solid decoupled
from the oscillator. This behavior has been replicated by several groups but
solid 4-He does not respond to pressure differences and persistent currents and
other signatures of superflow have not been seen. Both experiments and theory
indicate that defects are involved. These should also affect the solid's
mechanical behavior and so we have measured the shear modulus of solid 4-He at
low frequencies and strains. We observe large increases below 200 mK, with the
same dependence on measurement amplitude, 3-He impurity concentration and
annealing as the decoupling seen in TO experiments. This unusual elastic
behavior is explained in terms of a dislocation network which is pinned by 3-He
at the lowest temperatures but becomes mobile above 100 mK. The frequency
changes in TO experiments appear to be related to the motion of these
dislocations, perhaps by disrupting a possible supersolid state.
| cond-mat.other | superfluidity liquid flow without friction is familiar in helium the first evidence for supersolidity its analogue in quantum solids came from recent torsional oscillator to measurements involving 4he at temperatures below 200 mk to frequencies increased suggesting that some of the solid decoupled from the oscillator this behavior has been replicated by several groups but solid 4he does not respond to pressure differences and persistent currents and other signatures of superflow have not been seen both experiments and theory indicate that defects are involved these should also affect the solids mechanical behavior and so we have measured the shear modulus of solid 4he at low frequencies and strains we observe large increases below 200 mk with the same dependence on measurement amplitude 3he impurity concentration and annealing as the decoupling seen in to experiments this unusual elastic behavior is explained in terms of a dislocation network which is pinned by 3he at the lowest temperatures but becomes mobile above 100 mk the frequency changes in to experiments appear to be related to the motion of these dislocations perhaps by disrupting a possible supersolid state | [['superfluidity', 'liquid', 'flow', 'without', 'friction', 'is', 'familiar', 'in', 'helium', 'the', 'first', 'evidence', 'for', 'supersolidity', 'its', 'analogue', 'in', 'quantum', 'solids', 'came', 'from', 'recent', 'torsional', 'oscillator', 'to', 'measurements', 'involving', '4he', 'at', 'temperatures', 'below', '200', 'mk', 'to', 'frequencies', 'increased', 'suggesting', 'that', 'some', 'of', 'the', 'solid', 'decoupled', 'from', 'the', 'oscillator', 'this', 'behavior', 'has', 'been', 'replicated', 'by', 'several', 'groups', 'but', 'solid', '4he', 'does', 'not', 'respond', 'to', 'pressure', 'differences', 'and', 'persistent', 'currents', 'and', 'other', 'signatures', 'of', 'superflow', 'have', 'not', 'been', 'seen', 'both', 'experiments', 'and', 'theory', 'indicate', 'that', 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709.4667 | The Distance and Age of the SNR Kes 73 and AXP 1E 1841-045 | We provide a new distance estimate to the supernova remnant (SNR) Kes 73 and
its associated anomalous X-ray pulsar (AXP) 1E 1841-045. 21 cm HI images and HI
absorption/ emission spectra from new VLA observations, and 13CO emission
spectra of Kes 73 and two adjacent compact HII regions (G27.276+0.148 and
G27.491+0.189) are analyzed. The HI images show prominent absorption features
associated with Kes 73 and the HII regions. The absorption appears up to the
tangent point velocity giving a lower distance limit to Kes 73 of 7.5 kpc,
which has previously been given as the upper limit. Also, G27.276+0.148 and
G27.491+0.189 are at the far kinematic distances of their radio recombination
line velocities. There is prominent HI emission in the range 80--90 km/s for
all three objects. The two HII regions show HI absorption at ~ 84 km/s, but
there is no absorption in the Kes 73 absorption spectrum. This implies an upper
distance limit of ~ 9.8 kpc to Kes 73. This corrected larger distance to Kes
73/ AXP 1E 1841-045 system leads to a refined age of the SNR of 500 to 1000 yr,
and a ~ 50% larger AXP X-ray luminosity.
| astro-ph | we provide a new distance estimate to the supernova remnant snr kes 73 and its associated anomalous xray pulsar axp 1e 1841045 21 cm hi images and hi absorption emission spectra from new vla observations and 13co emission spectra of kes 73 and two adjacent compact hii regions g272760148 and g274910189 are analyzed the hi images show prominent absorption features associated with kes 73 and the hii regions the absorption appears up to the tangent point velocity giving a lower distance limit to kes 73 of 75 kpc which has previously been given as the upper limit also g272760148 and g274910189 are at the far kinematic distances of their radio recombination line velocities there is prominent hi emission in the range 8090 kms for all three objects the two hii regions show hi absorption at 84 kms but there is no absorption in the kes 73 absorption spectrum this implies an upper distance limit of 98 kpc to kes 73 this corrected larger distance to kes 73 axp 1e 1841045 system leads to a refined age of the snr of 500 to 1000 yr and a 50 larger axp xray luminosity | [['we', 'provide', 'a', 'new', 'distance', 'estimate', 'to', 'the', 'supernova', 'remnant', 'snr', 'kes', '73', 'and', 'its', 'associated', 'anomalous', 'xray', 'pulsar', 'axp', '1e', '1841045', '21', 'cm', 'hi', 'images', 'and', 'hi', 'absorption', 'emission', 'spectra', 'from', 'new', 'vla', 'observations', 'and', '13co', 'emission', 'spectra', 'of', 'kes', '73', 'and', 'two', 'adjacent', 'compact', 'hii', 'regions', 'g272760148', 'and', 'g274910189', 'are', 'analyzed', 'the', 'hi', 'images', 'show', 'prominent', 'absorption', 'features', 'associated', 'with', 'kes', '73', 'and', 'the', 'hii', 'regions', 'the', 'absorption', 'appears', 'up', 'to', 'the', 'tangent', 'point', 'velocity', 'giving', 'a', 'lower', 'distance', 'limit', 'to', 'kes', '73', 'of', '75', 'kpc', 'which', 'has', 'previously', 'been', 'given', 'as', 'the', 'upper', 'limit', 'also', 'g272760148', 'and', 'g274910189', 'are', 'at', 'the', 'far', 'kinematic', 'distances', 'of', 'their', 'radio', 'recombination', 'line', 'velocities', 'there', 'is', 'prominent', 'hi', 'emission', 'in', 'the', 'range', '8090', 'kms', 'for', 'all', 'three', 'objects', 'the', 'two', 'hii', 'regions', 'show', 'hi', 'absorption', 'at', '84', 'kms', 'but', 'there', 'is', 'no', 'absorption', 'in', 'the', 'kes', '73', 'absorption', 'spectrum', 'this', 'implies', 'an', 'upper', 'distance', 'limit', 'of', '98', 'kpc', 'to', 'kes', '73', 'this', 'corrected', 'larger', 'distance', 'to', 'kes', '73', 'axp', '1e', '1841045', 'system', 'leads', 'to', 'a', 'refined', 'age', 'of', 'the', 'snr', 'of', '500', 'to', '1000', 'yr', 'and', 'a', '50', 'larger', 'axp', 'xray', 'luminosity']] | [-0.07953579504824776, 0.024558234420174827, -0.00522460206785304, 0.0935523648557059, -0.11307980255398123, -0.10086264279247685, 0.10956475308306894, 0.4736232050261236, -0.15585116095303056, -0.34107260712805915, 0.03369416590446337, -0.339159096939798, 0.02698760671026875, 0.18397315385885896, 0.02249428970405563, -0.07791631457172982, 0.060705133597989056, -0.08550785067799392, -0.03258864864650809, -0.20614785158607976, 0.2065072229087233, 0.11458006744611669, 0.17357137596189856, 0.030281068602786027, 0.12913893336021803, -0.2047173823366928, -0.034000605499162714, -0.02967773364946485, -0.11051911056878413, 0.07412281196644122, 0.22099991980294217, 0.14733740257442915, 0.15332560697919068, -0.25488485965658636, -0.20831209660213898, 0.058654391272790374, 0.22002702063188595, -0.01815687064492308, 0.06942427603722137, -0.36901321329417974, 0.07148859180500083, -0.23250407161020528, -0.22388312714124586, 0.15567056377775368, 0.12888918678714512, -0.03165518178201136, -0.16498311048493108, 0.1769377147344023, -0.017751028773095957, 0.11423804863688491, -0.1265799665959293, -0.13139342577109503, 0.000560940293107122, 0.025490921831136958, -0.010213920637407404, 0.08001688593141934, 0.18050182860264963, -0.10951820049151022, -0.07513723828964294, 0.39709963507073764, -0.05416344843660407, 0.10178045326106769, 0.268994503497659, -0.24839042487086102, -0.16538837031376633, 0.31706758920740796, 0.09960303109208929, 0.036099140244700456, -0.15785472981512227, -0.0026641045560074203, -0.09529580365129334, 0.21933721303320391, 0.11030764923117219, 0.1267254000482295, 0.26814582944912385, 0.025248656972289025, 0.04317570295692845, 0.12958283648442695, -0.3867943158558754, 0.05246394183138076, -0.22673398743129589, -0.0740980806195222, -0.11596033370363859, 0.15712229794459068, -0.20717463532480146, -0.10136841415342959, 0.31492171156155396, 0.10648651732130905, 0.24818702807704754, 0.0400362688827672, 0.2718741868667424, 0.11464199708229339, 0.05329218371472456, 0.25553127841396445, 0.3464303066067517, 0.21353255456841405, 0.08452891780344898, -0.20707847059045714, 0.043158882696002245, -0.005869725272109244] |
709.4668 | Consequences of the Gross/Zagier formulae: Stability of average
L-values, subconvexity, and non-vanishing mod p | In this paper we investigate some consequences of the Gross/Zagier types of
formulae which were introduced by Gross and Zagier, and were then generalized
in various directions by Hatcher, Zhang, Kudla and several other people.
Working in the classical context of central values of L-series of holomorphic
forms of prime level, we deduce an exact average formula for suitable twists of
such L-values, with a relation to the class number of associated imaginary
quadratic fieds, thereby strengthening a result of Duke. One also obtains a
stability result, as well as subconvexity (in this setting), and certian
non-vanishing assertions. This article is dedicated to the memory of Serge
Lang.
| math.NT | in this paper we investigate some consequences of the grosszagier types of formulae which were introduced by gross and zagier and were then generalized in various directions by hatcher zhang kudla and several other people working in the classical context of central values of lseries of holomorphic forms of prime level we deduce an exact average formula for suitable twists of such lvalues with a relation to the class number of associated imaginary quadratic fieds thereby strengthening a result of duke one also obtains a stability result as well as subconvexity in this setting and certian nonvanishing assertions this article is dedicated to the memory of serge lang | [['in', 'this', 'paper', 'we', 'investigate', 'some', 'consequences', 'of', 'the', 'grosszagier', 'types', 'of', 'formulae', 'which', 'were', 'introduced', 'by', 'gross', 'and', 'zagier', 'and', 'were', 'then', 'generalized', 'in', 'various', 'directions', 'by', 'hatcher', 'zhang', 'kudla', 'and', 'several', 'other', 'people', 'working', 'in', 'the', 'classical', 'context', 'of', 'central', 'values', 'of', 'lseries', 'of', 'holomorphic', 'forms', 'of', 'prime', 'level', 'we', 'deduce', 'an', 'exact', 'average', 'formula', 'for', 'suitable', 'twists', 'of', 'such', 'lvalues', 'with', 'a', 'relation', 'to', 'the', 'class', 'number', 'of', 'associated', 'imaginary', 'quadratic', 'fieds', 'thereby', 'strengthening', 'a', 'result', 'of', 'duke', 'one', 'also', 'obtains', 'a', 'stability', 'result', 'as', 'well', 'as', 'subconvexity', 'in', 'this', 'setting', 'and', 'certian', 'nonvanishing', 'assertions', 'this', 'article', 'is', 'dedicated', 'to', 'the', 'memory', 'of', 'serge', 'lang']] | [-0.16952547005804203, 0.049782170042018604, -0.0849913765097507, 0.08536790993508543, -0.0976986041484035, -0.10695812097863755, 0.04658574781219571, 0.25255929669104166, -0.259290477992079, -0.3136682636583241, 0.0980728265217932, -0.2270335453305672, -0.17434099535936506, 0.2581449665877724, -0.13752971792802493, 0.052415023089052507, -0.009247829804684376, 0.045635075351902255, -0.05534034253698643, -0.31146842323104357, 0.3646237179462876, 0.03754549042569804, 0.19947708265803685, 0.08739163229572718, 0.04900586217746278, 0.049052663408567974, -0.039120383430098264, -0.030350643749757905, -0.14012182037406992, 0.17507305251277774, 0.2782545191688446, 0.07499670003601741, 0.27925884427729053, -0.3827363055517079, -0.14701401186175644, 0.1235972726412953, 0.08219375989016876, 0.04791878274245901, -0.006966192703139229, -0.26291696444397494, 0.1038529734729972, -0.21951983271549655, -0.1970660728184837, -0.08170275440372671, 0.06179585365282598, 0.07621659751911865, -0.23094816082026634, 0.05865707859221767, 0.13654049314705657, 0.1275347403520457, -0.09475824229471455, -0.16509448264716803, 0.026140539494569404, 0.10254526955171306, 0.0918570356160646, 0.02203488992728406, 0.030682595407538045, -0.12549656765561587, -0.12806107931134997, 0.30844114504093045, -0.07092540216780155, -0.15749920619146845, 0.14030575830158648, -0.13403950290858885, -0.197549395271899, 0.0428068917549311, 0.10183201170587372, 0.12230366722584884, -0.09794862499182051, 0.12119263811385102, -0.11043169020422708, 0.03385548964665036, 0.18698975624882172, 0.0023364240704017267, 0.11643894627759947, 0.038944949548273725, 0.016677321513644726, 0.18425034000766768, -0.01907299703615935, -0.06846734522689552, -0.34017469829696917, -0.24426488721825915, -0.11511088343485146, 0.0975170409792129, -0.07713809413955086, -0.12614010950707108, 0.4037346602461048, 0.08963513705241885, 0.2217710468935493, 0.11610995605832758, 0.22131898385803345, 0.11778401475776179, 0.04900539929273529, 0.02460815328408346, 0.14561349380392555, 0.21134606265879363, 0.07165754100492237, -0.13284756790707322, 0.03139995172550188, 0.16859151318530055] |
709.4669 | The Extended Edit Distance Metric | Similarity search is an important problem in information retrieval. This
similarity is based on a distance. Symbolic representation of time series has
attracted many researchers recently, since it reduces the dimensionality of
these high dimensional data objects. We propose a new distance metric that is
applied to symbolic data objects and we test it on time series data bases in a
classification task. We compare it to other distances that are well known in
the literature for symbolic data objects. We also prove, mathematically, that
our distance is metric.
| cs.IR | similarity search is an important problem in information retrieval this similarity is based on a distance symbolic representation of time series has attracted many researchers recently since it reduces the dimensionality of these high dimensional data objects we propose a new distance metric that is applied to symbolic data objects and we test it on time series data bases in a classification task we compare it to other distances that are well known in the literature for symbolic data objects we also prove mathematically that our distance is metric | [['similarity', 'search', 'is', 'an', 'important', 'problem', 'in', 'information', 'retrieval', 'this', 'similarity', 'is', 'based', 'on', 'a', 'distance', 'symbolic', 'representation', 'of', 'time', 'series', 'has', 'attracted', 'many', 'researchers', 'recently', 'since', 'it', 'reduces', 'the', 'dimensionality', 'of', 'these', 'high', 'dimensional', 'data', 'objects', 'we', 'propose', 'a', 'new', 'distance', 'metric', 'that', 'is', 'applied', 'to', 'symbolic', 'data', 'objects', 'and', 'we', 'test', 'it', 'on', 'time', 'series', 'data', 'bases', 'in', 'a', 'classification', 'task', 'we', 'compare', 'it', 'to', 'other', 'distances', 'that', 'are', 'well', 'known', 'in', 'the', 'literature', 'for', 'symbolic', 'data', 'objects', 'we', 'also', 'prove', 'mathematically', 'that', 'our', 'distance', 'is', 'metric']] | [-0.0942168514757009, 0.010291547251746237, -0.1285096076683382, 0.10389156791177484, -0.14144914954759474, -0.11435006588718362, 0.03172577264603604, 0.4440832605187813, -0.3039844946705558, -0.30453249715854613, 0.11925599417581191, -0.3072952546514152, -0.17345088877286133, 0.23189127701334655, -0.1341747825211856, 0.09097301955805735, 0.10949973704481727, 0.09612482195992149, -0.06355325006252008, -0.2877716124633306, 0.3373626951086387, 0.06593631916899192, 0.3054948819152425, -0.00406840993510036, 0.11937320547366745, -0.03460570606350731, -0.07458948036341854, 0.042348225663803266, -0.08353329639418478, 0.17177801681656307, 0.3068829256664501, 0.23184324504566914, 0.2672449726862519, -0.34482174161612317, -0.2263850202951371, 0.11700897894177084, 0.1105200327210798, 0.1306059437207459, -0.05448653112594666, -0.2911087101785822, 0.0724356732530038, -0.1356617666864663, -0.027417247952746877, -0.14624871939336986, 0.12393502805779656, -0.041116550135729686, -0.2336018398048335, 0.052448991913377215, 0.04984661087189707, 0.07077940978277265, -0.04920944679015724, -0.0842390570768647, 0.05521750276950135, 0.1600631961305992, 0.06056736915089776, 0.06721522972599886, 0.04319248819367939, -0.07888021130545465, -0.14222900290042162, 0.3843502830923273, -0.02047705332999735, -0.21166724242855994, 0.2555531143247453, -0.0802760918656092, -0.17764366353767808, 0.06491993778918902, 0.22150936758857262, 0.17311888029066363, -0.1711670316525557, 0.08770808896633242, -0.07016087237881559, 0.1927266378018461, 0.06438696555521213, 0.019390020131661943, 0.15586267109290602, 0.19857486121858772, 0.06112314357220854, 0.14325300750147363, -0.10938338090383103, -0.07899915105715562, -0.20667702788382433, -0.1809562137141154, -0.2401352674082926, -0.012176942216295205, -0.11532629130580174, -0.15349416650329414, 0.349695809049469, 0.20367848921993623, 0.2245599334965345, 0.06796585197110525, 0.30262118397971216, 0.09055831396476145, 0.0987709734505147, 0.09009812620476286, 0.19732598986560373, 0.055677735905968744, 0.0951561260591732, -0.120108417591101, 0.049795940243691376, 0.10264951649404476] |
709.467 | Search for Lorentz and CPT Violation Effects in Muon Spin Precession | The spin precession frequency of muons stored in the $(g-2)$ storage ring has
been analyzed for evidence of Lorentz and CPT violation. Two Lorentz and CPT
violation signatures were searched for: a nonzero $\Delta\omega_{a}$
(=$\omega_{a}^{\mu^{+}}-\omega_{a}^{\mu^{-}}$); and a sidereal variation of
$\omega_{a}^{\mu^{\pm}}$. No significant effect is found, and the following
limits on the standard-model extension parameters are obtained: $b_{Z} =-(1.0
\pm 1.1)\times 10^{-23}$ GeV; $(m_{\mu}d_{Z0}+H_{XY}) = (1.8 \pm 6.0 \times
10^{-23})$ GeV; and the 95% confidence level limits
$\check{b}_{\perp}^{\mu^{+}}< 1.4 \times 10^{-24}$ GeV and
$\check{b}_{\perp}^{\mu^{-}} < 2.6 \times 10^{-24}$ GeV.
| hep-ex hep-ph | the spin precession frequency of muons stored in the g2 storage ring has been analyzed for evidence of lorentz and cpt violation two lorentz and cpt violation signatures were searched for a nonzero deltaomega_a omega_amuomega_amu and a sidereal variation of omega_amupm no significant effect is found and the following limits on the standardmodel extension parameters are obtained b_z 10 pm 11times 1023 gev m_mud_z0h_xy 18 pm 60 times 1023 gev and the 95 confidence level limits checkb_perpmu 14 times 1024 gev and checkb_perpmu 26 times 1024 gev | [['the', 'spin', 'precession', 'frequency', 'of', 'muons', 'stored', 'in', 'the', 'g2', 'storage', 'ring', 'has', 'been', 'analyzed', 'for', 'evidence', 'of', 'lorentz', 'and', 'cpt', 'violation', 'two', 'lorentz', 'and', 'cpt', 'violation', 'signatures', 'were', 'searched', 'for', 'a', 'nonzero', 'deltaomega_a', 'omega_amuomega_amu', 'and', 'a', 'sidereal', 'variation', 'of', 'omega_amupm', 'no', 'significant', 'effect', 'is', 'found', 'and', 'the', 'following', 'limits', 'on', 'the', 'standardmodel', 'extension', 'parameters', 'are', 'obtained', 'b_z', '10', 'pm', '11times', '1023', 'gev', 'm_mud_z0h_xy', '18', 'pm', '60', 'times', '1023', 'gev', 'and', 'the', '95', 'confidence', 'level', 'limits', 'checkb_perpmu', '14', 'times', '1024', 'gev', 'and', 'checkb_perpmu', '26', 'times', '1024', 'gev']] | [-0.17832030884254677, 0.26144746541517017, 0.06129936291548757, 0.13735783520516837, 0.0008394812222248243, -0.11608093798758438, 0.07965073298754884, 0.32911750678846863, -0.0902370208138485, -0.41203927215372704, 0.08803200492215699, -0.32508846558630466, 0.12883310426992398, 0.2348620189399815, 0.061307817694650574, 0.026202638599055784, -0.013619106613605478, 0.033294547004280264, -0.08881895211927684, -0.19835925287923512, 0.05835605350058572, 0.07438143596834974, 0.25644070455045614, 0.11514535211716537, 0.12321465913304071, -0.05863421409747299, -0.0146852060922502, -0.12000382123629988, -0.11537586116335458, 0.022183805899579585, 0.14923537302946235, 0.06753557168786632, 0.10910815167827187, -0.3544598952004755, -0.10466581207907034, 0.15590617444688154, 0.08883570786278097, -0.026417638715586545, -0.04007106692742924, -0.35056806462644424, 0.09740358968207866, -0.23748077890824204, -0.11240068038373634, 0.03210984022690006, 0.1258291009767556, -0.11240329579622657, -0.29685313909969946, 0.185528156577529, -0.043964405797054004, 0.12866614597999018, -0.06365478649321529, -0.2009647024542461, 0.014696073143478528, -0.0656652091714887, 0.11461919317033464, 0.10890320916322382, 0.2101711256912461, -0.020784462037507768, -0.1752362537605941, 0.4238623371002851, -0.1103360586811179, -0.08781700364003579, 0.11543767767624906, -0.24774445641072995, -0.1803487623570326, 0.21438343879295352, 0.15016255955740718, 0.02086035339851622, -0.2086897745863592, 0.13286698849176137, -0.03957984123355997, 0.2742209439108401, 0.14837906595296513, 0.06362182860130468, 0.22488413811488836, 0.08226177725297065, 0.05641201904286446, -0.03590602721490058, -0.2416308746173012, 0.013085925991842409, -0.35670416960837664, -0.08900839965330598, -0.06556786529234407, 0.15811842059095702, -0.15118177552358247, 0.08930710691636727, 0.3919507237151265, 0.10711358311402117, 0.22943722964896832, -0.018533514444658786, 0.24529154839017142, 0.12373403598910865, 0.07999730110168457, 0.11428374653383169, 0.34156725332025945, 0.1730866057390094, 0.06961164163011643, -0.1592888128368851, -0.026965317322102226, -0.04031632270629483] |
709.4671 | Secrecy Capacity Region of a Multi-Antenna Gaussian Broadcast Channel
with Confidential Messages | In wireless data networks, communication is particularly susceptible to
eavesdropping due to its broadcast nature. Security and privacy systems have
become critical for wireless providers and enterprise networks. This paper
considers the problem of secret communication over the Gaussian broadcast
channel, where a multi-antenna transmitter sends independent confidential
messages to two users with information-theoretic secrecy. That is, each user
would like to obtain its own confidential message in a reliable and safe
manner. This communication model is referred to as the multi-antenna Gaussian
broadcast channel with confidential messages (MGBC-CM). Under this
communication scenario, a secret dirty-paper coding scheme and the
corresponding achievable secrecy rate region are first developed based on
Gaussian codebooks. Next, a computable Sato-type outer bound on the secrecy
capacity region is provided for the MGBC-CM. Furthermore, the Sato-type outer
bound prove to be consistent with the boundary of the secret dirty-paper coding
achievable rate region, and hence, the secrecy capacity region of the MGBC-CM
is established. Finally, two numerical examples demonstrate that both users can
achieve positive rates simultaneously under the information-theoretic secrecy
requirement.
| cs.IT math.IT | in wireless data networks communication is particularly susceptible to eavesdropping due to its broadcast nature security and privacy systems have become critical for wireless providers and enterprise networks this paper considers the problem of secret communication over the gaussian broadcast channel where a multiantenna transmitter sends independent confidential messages to two users with informationtheoretic secrecy that is each user would like to obtain its own confidential message in a reliable and safe manner this communication model is referred to as the multiantenna gaussian broadcast channel with confidential messages mgbccm under this communication scenario a secret dirtypaper coding scheme and the corresponding achievable secrecy rate region are first developed based on gaussian codebooks next a computable satotype outer bound on the secrecy capacity region is provided for the mgbccm furthermore the satotype outer bound prove to be consistent with the boundary of the secret dirtypaper coding achievable rate region and hence the secrecy capacity region of the mgbccm is established finally two numerical examples demonstrate that both users can achieve positive rates simultaneously under the informationtheoretic secrecy requirement | [['in', 'wireless', 'data', 'networks', 'communication', 'is', 'particularly', 'susceptible', 'to', 'eavesdropping', 'due', 'to', 'its', 'broadcast', 'nature', 'security', 'and', 'privacy', 'systems', 'have', 'become', 'critical', 'for', 'wireless', 'providers', 'and', 'enterprise', 'networks', 'this', 'paper', 'considers', 'the', 'problem', 'of', 'secret', 'communication', 'over', 'the', 'gaussian', 'broadcast', 'channel', 'where', 'a', 'multiantenna', 'transmitter', 'sends', 'independent', 'confidential', 'messages', 'to', 'two', 'users', 'with', 'informationtheoretic', 'secrecy', 'that', 'is', 'each', 'user', 'would', 'like', 'to', 'obtain', 'its', 'own', 'confidential', 'message', 'in', 'a', 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709.4672 | Einstein, Sciascia, Majorana, Amaldi, e il Rapporto tra Intellettuali e
Potere (Einstein, Sciascia, Majorana, Amaldi, and the Relationship of
Intellectuals with the Power) | In Europe (e.g., in Italy), and in the States, the opinion is widely
spreading that the negative consequences of modern progress are the fault of
"Science". A lively debate on this topic took place among the famous writer
Leonardo Sciascia and Italian physicists like Edoardo Amaldi and Emilio Segre',
when Sciascia wrote his known book about the disappearance of Ettore Majorana,
a book that presented Majorana (a very reserved theoretical physicist) as an
example of the scientist that keeps his discoveries secret when afraid of
possible evil applications. We wish to contribute now to such a question, since
many special meetings did recently return to it, while celebrating the
centenary of Majorana's birth (2006), or 30 years (2005) from Sciascia's book
publication. It appeared natural to us to start with the figure of Einstein,
who, even if extremely peaceable, supported the atomic bomb construction by his
letter to Roosvelt. We discuss first the significance of part of Einsteins's
scientific work (which flourished in particular one century ago): We seize this
opportunity for presenting a derivation of the "twins paradox", so simple that
it has been taught to Senior High School last-year students or University
undergraduate students; all the present work, more in general, is addressed
mainly to them. In the second part of this paper, we analyse the general
meaning of Einstein's contributions to philosophy and pedagogy. The third part
is entirely devoted to our main subject, i.e., to discussing the
"Responsibility of the Intellectuals". The reader interested chiefly in this
last part, can find it re-expounded in a self-contained way in the Appendix.
More information in the Contents of this article.
| physics.gen-ph physics.hist-ph physics.pop-ph | in europe eg in italy and in the states the opinion is widely spreading that the negative consequences of modern progress are the fault of science a lively debate on this topic took place among the famous writer leonardo sciascia and italian physicists like edoardo amaldi and emilio segre when sciascia wrote his known book about the disappearance of ettore majorana a book that presented majorana a very reserved theoretical physicist as an example of the scientist that keeps his discoveries secret when afraid of possible evil applications we wish to contribute now to such a question since many special meetings did recently return to it while celebrating the centenary of majoranas birth 2006 or 30 years 2005 from sciascias book publication it appeared natural to us to start with the figure of einstein who even if extremely peaceable supported the atomic bomb construction by his letter to roosvelt we discuss first the significance of part of einsteinss scientific work which flourished in particular one century ago we seize this opportunity for presenting a derivation of the twins paradox so simple that it has been taught to senior high school lastyear students or university undergraduate students all the present work more in general is addressed mainly to them in the second part of this paper we analyse the general meaning of einsteins contributions to philosophy and pedagogy the third part is entirely devoted to our main subject ie to discussing the responsibility of the intellectuals the reader interested chiefly in this last part can find it reexpounded in a selfcontained way in the appendix more information in the contents of this article | [['in', 'europe', 'eg', 'in', 'italy', 'and', 'in', 'the', 'states', 'the', 'opinion', 'is', 'widely', 'spreading', 'that', 'the', 'negative', 'consequences', 'of', 'modern', 'progress', 'are', 'the', 'fault', 'of', 'science', 'a', 'lively', 'debate', 'on', 'this', 'topic', 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709.4673 | D-branes, obstructed curves, and minimal model superpotentials | In this short note we apply methods of Aspinwall-Katz to compute
superpotentials of D-branes wrapped on more general obstructed rational curves
in Calabi-Yau threefolds. We find an a priori unexpected match between
superpotentials from certain such curves and the superpotentials of
Landau-Ginzburg models corresponding to minimal models.
| hep-th math.AG | in this short note we apply methods of aspinwallkatz to compute superpotentials of dbranes wrapped on more general obstructed rational curves in calabiyau threefolds we find an a priori unexpected match between superpotentials from certain such curves and the superpotentials of landauginzburg models corresponding to minimal models | [['in', 'this', 'short', 'note', 'we', 'apply', 'methods', 'of', 'aspinwallkatz', 'to', 'compute', 'superpotentials', 'of', 'dbranes', 'wrapped', 'on', 'more', 'general', 'obstructed', 'rational', 'curves', 'in', 'calabiyau', 'threefolds', 'we', 'find', 'an', 'a', 'priori', 'unexpected', 'match', 'between', 'superpotentials', 'from', 'certain', 'such', 'curves', 'and', 'the', 'superpotentials', 'of', 'landauginzburg', 'models', 'corresponding', 'to', 'minimal', 'models']] | [-0.14195389434968567, 0.013092634896051806, -0.12037085617244568, 0.21465789128611187, -0.07772151424306566, -0.21446747981700237, -0.0005631797628112785, 0.3718365204581262, -0.2125820509036598, -0.2777541077432587, 0.03397013404426853, -0.24982501216151792, -0.23972353383736766, 0.1920701236990483, -0.2631084565984328, 0.006592770547444082, -0.015171822211097764, -0.024740932306841663, -0.1901617595197066, -0.3389594661699527, 0.4316908317091672, -0.08163641575399948, 0.21681524616787615, 0.04770138535810554, 0.106958142299529, -0.054600417259675654, -0.005486424172135151, -0.06993441673441102, -0.19855962157168466, 0.19514322365917589, 0.2786944059969202, 0.05106778889287101, 0.0036976154407729273, -0.4887590008261411, -0.16447513147621698, 0.2508215071613212, 0.13645805489352864, 0.17400327658928608, 0.016270494889202226, -0.23426749277859926, 0.056551389639144356, -0.1419328542289567, -0.18625941751119884, -0.10822634654038626, 0.018788798752686253, 0.061555704871273556, -0.18584918295559677, -0.0053100568323355656, -0.02261851847414737, 0.15101706179911675, -0.06587990185083903, -0.03309714589989238, -0.0988747785475267, 0.057555365345805236, 0.12398510422233654, 0.004896607644774992, 0.03534703525593099, -0.22390923257815934, -0.13050993770846855, 0.3373022034926259, -0.07436618486257351, -0.22212693137724115, 0.13521200657376778, -0.05415603490141423, -0.17567098799728506, 0.1515342864288908, 0.13662750235475277, 0.25907554214253375, -0.0896788822669212, 0.12955362335449774, -0.039623546150877424, 0.11156529517662105, 0.09214424643584568, -0.042887413473141824, 0.25165087336917286, 0.07115933586559865, 0.03840597696683329, 0.12260356070170098, -0.0026801537833702955, -0.10800786097736462, -0.4500468583858531, -0.10075572552159429, -0.0660272320813459, 0.17567452295359387, -0.12070657570976713, -0.22100125451612732, 0.4153028992207154, 0.10980016989228518, 0.2559583746706662, 0.11354945288242205, 0.17754564887803534, 0.031777611994387014, 0.029631461452125855, 0.029624700607003077, 0.18937281530309955, 0.13212788301398573, 0.011118092786763673, -0.11198038435237401, -0.10208403945738531, 0.17015904540439014] |
709.4674 | Possible way out of the Hawking paradox: Erasing the information at the
horizon | We show that small deviations from spherical symmetry, described by means of
exact solutions to Einstein equations, provide a mechanism to "bleach" the
information about the collapsing body as it falls through the aparent horizon,
thereby resolving the information loss paradox. The resulting picture and its
implication related to the Landauer's principle in the presence of a
gravitational field, is discussed.
| gr-qc astro-ph hep-th | we show that small deviations from spherical symmetry described by means of exact solutions to einstein equations provide a mechanism to bleach the information about the collapsing body as it falls through the aparent horizon thereby resolving the information loss paradox the resulting picture and its implication related to the landauers principle in the presence of a gravitational field is discussed | [['we', 'show', 'that', 'small', 'deviations', 'from', 'spherical', 'symmetry', 'described', 'by', 'means', 'of', 'exact', 'solutions', 'to', 'einstein', 'equations', 'provide', 'a', 'mechanism', 'to', 'bleach', 'the', 'information', 'about', 'the', 'collapsing', 'body', 'as', 'it', 'falls', 'through', 'the', 'aparent', 'horizon', 'thereby', 'resolving', 'the', 'information', 'loss', 'paradox', 'the', 'resulting', 'picture', 'and', 'its', 'implication', 'related', 'to', 'the', 'landauers', 'principle', 'in', 'the', 'presence', 'of', 'a', 'gravitational', 'field', 'is', 'discussed']] | [-0.12721896185167517, 0.06896942791330521, -0.11239074335479346, 0.12430029325225375, -0.10558353388895754, -0.09531326556089716, 0.05787582100811796, 0.2595859276222401, -0.2864560965662364, -0.3005543731641574, 0.12012138794611407, -0.28357007685804464, -0.11889585101457893, 0.16810295416317025, -0.05502532675316496, 0.011996905745930786, 0.03391304781629902, 0.05450602148356084, -0.07467426084455286, -0.1740624915014525, 0.336034696885064, 0.11527127154232537, 0.24475352590155527, 0.08887899185141518, 0.1485844259226664, 0.02281759960241005, 0.015083280987426883, 0.07234268350007593, -0.13974863054580533, 0.11097375443968617, 0.20055864798668466, 0.17498985230617348, 0.2441575196647986, -0.4172263431561286, -0.24949023883301216, 0.044764071183859326, 0.10992807046830898, 0.1851306181318951, -0.06521124188162264, -0.3242564024556367, 0.0711307530673068, -0.1799406054750329, -0.2176095395287896, -0.03326820143208396, 0.009617460282809544, -0.035347722424957595, -0.19653416092156387, 0.12974166563238765, 0.12233724214564093, -0.02470045086267389, -0.09535614642520725, -0.017320975296764223, -0.019420164675436547, 0.09854956256744803, 0.12216501317338133, 0.007521780837540988, 0.14684582059844167, -0.12744814501006585, -0.06951009353134231, 0.4034137018482949, -0.04930355012050418, -0.1993703294514877, 0.1243142908225294, -0.1596634820882292, -0.021947653742781917, 0.14091523895498181, 0.0855430575988454, 0.10057107022139014, -0.1516413823777779, 0.06266466648707673, -0.02867115003469049, 0.1604094752988427, 0.10503867103672418, 0.06424003243293674, 0.298004321524965, 0.12539745098147848, 0.036559703683511156, 0.16568947203274145, -0.046851657498933254, -0.1612871254748497, -0.3516784305455255, -0.12953590179343144, -0.17831157239489867, 0.10259698119136643, -0.10296824890103946, -0.11165238422204236, 0.3042734533731566, 0.14335603066567393, 0.17142572440207005, 0.03849761952936161, 0.28232174962148315, 0.1125153713596252, 0.0819893289494832, 0.07418111226994728, 0.2992174199125806, 0.1615708833903868, 0.1204195237779593, -0.2575149741825327, 0.022578613008143473, 0.057203506818041205] |
709.4675 | Measurement of the ac Stark shift with a guided matter-wave
interferometer | We demonstrate the effectiveness of a guided-wave Bose-Einstein condensate
interferometer for practical measurements. Taking advantage of the large arm
separations obtainable in our interferometer, the energy levels of the 87Rb
atoms in one arm of the interferometer are shifted by a calibrated laser beam.
The resulting phase shifts are used to determine the ac polarizability at a
range of frequencies near and at the atomic resonance. The measured values are
in good agreement with theoretical expectations. However, we observe a
broadening of the transition near the resonance, an indication of collective
light scattering effects. This nonlinearity may prove useful for the production
and control of squeezed quantum states.
| physics.atom-ph | we demonstrate the effectiveness of a guidedwave boseeinstein condensate interferometer for practical measurements taking advantage of the large arm separations obtainable in our interferometer the energy levels of the 87rb atoms in one arm of the interferometer are shifted by a calibrated laser beam the resulting phase shifts are used to determine the ac polarizability at a range of frequencies near and at the atomic resonance the measured values are in good agreement with theoretical expectations however we observe a broadening of the transition near the resonance an indication of collective light scattering effects this nonlinearity may prove useful for the production and control of squeezed quantum states | [['we', 'demonstrate', 'the', 'effectiveness', 'of', 'a', 'guidedwave', 'boseeinstein', 'condensate', 'interferometer', 'for', 'practical', 'measurements', 'taking', 'advantage', 'of', 'the', 'large', 'arm', 'separations', 'obtainable', 'in', 'our', 'interferometer', 'the', 'energy', 'levels', 'of', 'the', '87rb', 'atoms', 'in', 'one', 'arm', 'of', 'the', 'interferometer', 'are', 'shifted', 'by', 'a', 'calibrated', 'laser', 'beam', 'the', 'resulting', 'phase', 'shifts', 'are', 'used', 'to', 'determine', 'the', 'ac', 'polarizability', 'at', 'a', 'range', 'of', 'frequencies', 'near', 'and', 'at', 'the', 'atomic', 'resonance', 'the', 'measured', 'values', 'are', 'in', 'good', 'agreement', 'with', 'theoretical', 'expectations', 'however', 'we', 'observe', 'a', 'broadening', 'of', 'the', 'transition', 'near', 'the', 'resonance', 'an', 'indication', 'of', 'collective', 'light', 'scattering', 'effects', 'this', 'nonlinearity', 'may', 'prove', 'useful', 'for', 'the', 'production', 'and', 'control', 'of', 'squeezed', 'quantum', 'states']] | [-0.14822738617874198, 0.16956559489861117, -0.07398390943719144, 0.03676574361075095, 0.01947185776575848, -0.1003429933787427, 0.057357515975901927, 0.4081961337338995, -0.21112428553385176, -0.2852759178279451, 0.00978934678305113, -0.29699273365635975, -0.042557924602146226, 0.2297345957054791, 0.02196144787767143, 0.06403499701466192, 0.0800182026276296, 0.0048846844087906734, -0.03852637626523911, -0.1295116617758241, 0.2964130940855722, 0.05497467909245407, 0.2953147493923704, 0.057407358575060415, 0.1016523249671553, -0.012590774087045618, 0.06119952448137122, -0.02166331980239462, -0.12124742337295578, 0.09004598076151321, 0.26585962864811774, 0.007262079569045454, 0.23087705304432246, -0.40555514767766, -0.17549273945257515, 0.07924511702839043, 0.140458396657508, 0.189125074627723, -0.04620779487002572, -0.341638157437383, -0.030603955275620574, -0.11741945773570074, -0.17083201705288417, -0.07484453145190384, -0.006949459159470818, 0.033683073434211244, -0.30105320387519896, 0.03314400778186542, -0.0030418225845399625, 0.08418522403722077, -0.043148291846995965, -0.13217406188724218, 0.020595685606908606, 0.07931692453308238, -0.05264633186204635, 0.01805890869150904, 0.18075910351601326, -0.1375055268409024, -0.09260132667367105, 0.38746413926559464, -0.11151846133482952, -0.0880216832695253, 0.12339161675751072, -0.2311688612120364, -0.05185749737494108, 0.16067330702207983, 0.15730069299806254, 0.07162460140426885, -0.06661882295587997, 0.0003518600057793298, 0.0087335631682503, 0.187636885979575, 0.1302221671514282, 0.11401869995993534, 0.2531035949424323, 0.1587373150902783, 0.019583150183919956, 0.16181171715531187, -0.15983450630058846, -0.1021400388627727, -0.2992602923790131, -0.100346513385712, -0.1834071646315149, 0.0008900866421215512, -0.0647878571781567, -0.10101524787454831, 0.3727720229869225, 0.14932682913947953, 0.20389200144240427, -0.007091489223832333, 0.33816056750732026, 0.1678246118740558, 0.0643166996995677, -0.022257557087060478, 0.3560879401586674, 0.15425082142852867, 0.09357941367973883, -0.316934674109453, 0.02248824090498534, -0.07368407903791026] |
709.4676 | Binomial Coefficients and the Distribution of the Primes | Let omega(n) be the number of distinct prime factors dividing n and m > n
natural numbers. We calculate a formula showing which prime numbers in which
intervals divide a given binomial coefficient. From this formula we get an
identity omega(binom(nk)(mk))=sum_i (pi(k/b(i))- pi(k/a(i))) + O(sqrt(k)).
Erdoes mentioned that omega(binom(nk)(mk))= log n^n/(m^m (n-m)^(n-m)) k/log k +
o(k/log k).
As an application of the above identities, we conclude some well-known facts
about the distribution of the primes and deduce for all natural numbers k an
expression (also well-known) log k = sum_i a_k(i) which generalizes log 2 =
sum_i^(infty) (-1)^(j+1) / j.
| math.NT | let omegan be the number of distinct prime factors dividing n and m n natural numbers we calculate a formula showing which prime numbers in which intervals divide a given binomial coefficient from this formula we get an identity omegabinomnkmksum_i pikbi pikai osqrtk erdoes mentioned that omegabinomnkmk log nnmm nmnm klog k oklog k as an application of the above identities we conclude some wellknown facts about the distribution of the primes and deduce for all natural numbers k an expression also wellknown log k sum_i a_ki which generalizes log 2 sum_iinfty 1j1 j | [['let', 'omegan', 'be', 'the', 'number', 'of', 'distinct', 'prime', 'factors', 'dividing', 'n', 'and', 'm', 'n', 'natural', 'numbers', 'we', 'calculate', 'a', 'formula', 'showing', 'which', 'prime', 'numbers', 'in', 'which', 'intervals', 'divide', 'a', 'given', 'binomial', 'coefficient', 'from', 'this', 'formula', 'we', 'get', 'an', 'identity', 'omegabinomnkmksum_i', 'pikbi', 'pikai', 'osqrtk', 'erdoes', 'mentioned', 'that', 'omegabinomnkmk', 'log', 'nnmm', 'nmnm', 'klog', 'k', 'oklog', 'k', 'as', 'an', 'application', 'of', 'the', 'above', 'identities', 'we', 'conclude', 'some', 'wellknown', 'facts', 'about', 'the', 'distribution', 'of', 'the', 'primes', 'and', 'deduce', 'for', 'all', 'natural', 'numbers', 'k', 'an', 'expression', 'also', 'wellknown', 'log', 'k', 'sum_i', 'a_ki', 'which', 'generalizes', 'log', '2', 'sum_iinfty', '1j1', 'j']] | [-0.2030740507889068, 0.11189472814402998, -0.08562869922225845, 0.07947805825615538, -0.05342150216215644, -0.1894647350063783, 0.08634938192607343, 0.23405345326996055, -0.2927932044780203, -0.3562596120882308, -0.00225980794619255, -0.3156015098351857, -0.11638185429525957, 0.20544704816025822, -0.05964878482487181, -0.05418410738287815, -0.060162491984023105, 0.11992118921366403, -0.007899203496963728, -0.32433134206067554, 0.267849897430546, -0.058154449589422036, 0.16252273170915754, 0.030289581045508385, 0.0608407117121307, 0.011344765976670829, 0.031572619999020266, -0.032763188096511325, -0.21771921037909395, 0.06828495740205393, 0.30271471878406647, 0.16325186047403292, 0.23161043867939848, -0.33512106878233366, -0.09426065380203313, 0.18056449108896241, 0.17352949057962616, -0.042633261760407735, 0.04094976804255315, -0.16659486370867696, 0.14948288424090408, -0.13238132316298012, -0.1394198104423396, -0.0627517084719549, 0.12625848893718472, 0.015611488843101195, -0.3390497653370445, 0.002204269981319513, 0.1306315663366996, 0.10233143547846904, 0.014875184059485623, -0.28447066617851285, 0.07202853196857219, 0.10015155573578916, 0.013837243034236732, 0.03755263962258382, 0.017692328013222795, -0.07444886498998893, -0.08612370051593445, 0.31923300963451806, -0.05015985820517372, -0.1073868228871932, 0.042623957212286435, -0.15876790898284693, -0.18111925003193746, 0.12747752815939958, 0.053699846899982584, 0.1821458493734057, -0.030167330939579625, 0.14340745081627293, -0.1753363963002446, 0.17674360376108308, 0.17723528444552902, -0.006579629811940008, 0.061166458005813516, -0.014034514133443778, 0.049214995455467835, 0.12325853624664804, -0.015574947813119012, 0.017897482806195814, -0.36313653314197114, -0.2307203033639268, -0.21419333787661732, 0.1844510602384763, -0.19663232818062568, -0.12196322700046217, 0.2564506169338978, 0.09456180532238093, 0.3035267677329395, 0.16468540599821244, 0.25067735233226385, 0.14303958387081994, 0.004321232240047605, 0.148947113461193, -0.03257162399401342, 0.17132185025932803, -0.026273133254599297, -0.1388877751600083, 0.016783203137503273, 0.11996600133548865] |
709.4677 | A continuation principle for a class of periodically perturbed
autonomous systems | In this paper we evaluate the topological index of periodic solutions otained
via the Malkin-Loud bifurcation result. Incidentally, we do not assume that the
perturbation is differentiale.
| math.CA | in this paper we evaluate the topological index of periodic solutions otained via the malkinloud bifurcation result incidentally we do not assume that the perturbation is differentiale | [['in', 'this', 'paper', 'we', 'evaluate', 'the', 'topological', 'index', 'of', 'periodic', 'solutions', 'otained', 'via', 'the', 'malkinloud', 'bifurcation', 'result', 'incidentally', 'we', 'do', 'not', 'assume', 'that', 'the', 'perturbation', 'is', 'differentiale']] | [-0.21135865807533263, 0.08205991841852665, -0.12975177586078643, 0.06439993873238564, -0.09293005134910345, -0.06512268081307411, 0.061023034579120575, 0.3511021650582552, -0.2521196736395359, -0.19650233149528504, 0.142649469464086, -0.26098460257053374, -0.29794233053922653, 0.12158828173298389, -0.13165425278246404, 0.03314436390995979, 0.04663646824657917, 0.04827830258756876, -0.04000983885489404, -0.20204740822315215, 0.41802206218242643, -0.057076047286391256, 0.2395945329964161, 0.08534858420491219, -0.009177707098424435, -0.01764984866604209, -0.0012292251735925674, 0.021783715188503264, -0.23140966800187016, 0.06009991768747568, 0.20917460083961487, 0.0922675384907052, 0.22076416820287703, -0.41729520477354526, -0.19017018750309944, 0.1498229174129665, 0.19861302755773066, 0.14665988221764564, -0.05321030706167221, -0.2107534495741129, 0.18041802003979682, -0.19464311137795448, -0.15593106810003518, -0.10247525669634343, -0.03295756489038468, 0.023606004565954207, -0.2236179642751813, 0.05557405658066273, 0.1150773411616683, 0.04632886424660683, -0.09994469333440065, 0.04070651749148965, -0.03332329574972391, 0.097826127409935, 0.09491019706241786, -0.009495500382035971, 0.05468926157802343, -0.05401250650844304, -0.10342772372066975, 0.3350263997912407, -0.12734508011490106, -0.23941496121697128, 0.17774564154446126, -0.1657696783170104, -0.1842334409058094, 0.08528403595089912, 0.12615217657759786, 0.14448642129078507, -0.10823373194783927, 0.11354921843856573, -0.08314255520701408, 0.20486689440906047, 0.09948723498731851, -0.023949424643069504, 0.12707708608359097, 0.07072434662841261, 0.12382975623942911, 0.15289029181003572, -0.04198331542313099, -0.0794181235320866, -0.3322696752846241, -0.14753220393322408, -0.1896748836711049, 0.057821749942959286, -0.05077880617231131, -0.2399151037633419, 0.4557668773084879, 0.21084793541580438, 0.16857571840286256, 0.05590185847133398, 0.2513423770479858, 0.1748488748446107, -0.002598640052601695, 0.0841558832488954, 0.2963679485861212, 0.0704443000908941, 0.1033948764950037, -0.16542807204648852, 0.029482580963522197, 0.12051235679537058] |
709.4678 | The Dirichlet Markov Ensemble | We equip the polytope of $n\times n$ Markov matrices with the normalized
trace of the Lebesgue measure of $\mathbb{R}^{n^2}$. This probability space
provides random Markov matrices, with i.i.d. rows following the Dirichlet
distribution of mean $(1/n,...,1/n)$. We show that if $\bM$ is such a random
matrix, then the empirical distribution built from the singular values
of$\sqrt{n} \bM$ tends as $n\to\infty$ to a Wigner quarter--circle
distribution. Some computer simulations reveal striking asymptotic spectral
properties of such random matrices, still waiting for a rigorous mathematical
analysis. In particular, we believe that with probability one, the empirical
distribution of the complex spectrum of $\sqrt{n} \bM$ tends as $n\to\infty$ to
the uniform distribution on the unit disc of the complex plane, and that
moreover, the spectral gap of $\bM$ is of order $1-1/\sqrt{n}$ when $n$ is
large.
| math.PR math.SP | we equip the polytope of ntimes n markov matrices with the normalized trace of the lebesgue measure of mathbbrn2 this probability space provides random markov matrices with iid rows following the dirichlet distribution of mean 1n1n we show that if bm is such a random matrix then the empirical distribution built from the singular values ofsqrtn bm tends as ntoinfty to a wigner quartercircle distribution some computer simulations reveal striking asymptotic spectral properties of such random matrices still waiting for a rigorous mathematical analysis in particular we believe that with probability one the empirical distribution of the complex spectrum of sqrtn bm tends as ntoinfty to the uniform distribution on the unit disc of the complex plane and that moreover the spectral gap of bm is of order 11sqrtn when n is large | [['we', 'equip', 'the', 'polytope', 'of', 'ntimes', 'n', 'markov', 'matrices', 'with', 'the', 'normalized', 'trace', 'of', 'the', 'lebesgue', 'measure', 'of', 'mathbbrn2', 'this', 'probability', 'space', 'provides', 'random', 'markov', 'matrices', 'with', 'iid', 'rows', 'following', 'the', 'dirichlet', 'distribution', 'of', 'mean', '1n1n', 'we', 'show', 'that', 'if', 'bm', 'is', 'such', 'a', 'random', 'matrix', 'then', 'the', 'empirical', 'distribution', 'built', 'from', 'the', 'singular', 'values', 'ofsqrtn', 'bm', 'tends', 'as', 'ntoinfty', 'to', 'a', 'wigner', 'quartercircle', 'distribution', 'some', 'computer', 'simulations', 'reveal', 'striking', 'asymptotic', 'spectral', 'properties', 'of', 'such', 'random', 'matrices', 'still', 'waiting', 'for', 'a', 'rigorous', 'mathematical', 'analysis', 'in', 'particular', 'we', 'believe', 'that', 'with', 'probability', 'one', 'the', 'empirical', 'distribution', 'of', 'the', 'complex', 'spectrum', 'of', 'sqrtn', 'bm', 'tends', 'as', 'ntoinfty', 'to', 'the', 'uniform', 'distribution', 'on', 'the', 'unit', 'disc', 'of', 'the', 'complex', 'plane', 'and', 'that', 'moreover', 'the', 'spectral', 'gap', 'of', 'bm', 'is', 'of', 'order', '11sqrtn', 'when', 'n', 'is', 'large']] | [-0.09085675551770972, 0.13632637990298324, -0.09091181431252222, 0.06243050787060593, -0.033407398444922784, -0.0908195296374078, 0.05712612739835794, 0.37764431001045384, -0.290696051516212, -0.1990246976707847, 0.0954775216568333, -0.31370897555652144, -0.1624191184844956, 0.09056055560851327, -0.06748754875018047, 0.10986205911758588, 0.043650315024961646, 0.07724133560304136, -0.08565574878593907, -0.2106706372786273, 0.3197188036176018, 0.03461280187162069, 0.26723964435693165, -0.04176592045338251, 0.09076849221825027, 0.028322327094009288, -0.010921446484728502, -0.02506911613857553, -0.11548868832441468, 0.08003094961839871, 0.19786528767301487, 0.1210241193847301, 0.28455049738001365, -0.38252743466828876, -0.15960695176886824, 0.18320464592856855, 0.16687811272791944, 0.0001714496730038753, -0.00824764482408332, -0.23373449128121138, 0.11173877666274515, -0.13109936474894102, -0.1814013373035078, -0.0359731349395588, 0.05071515121962875, 0.08663172481778579, -0.3508703832478764, 0.04419213498835094, 0.08847099365666508, 0.036265634580586965, -0.004653038075551964, -0.19789633316417726, 0.01905301153086699, 0.1227444085330577, 0.0475005487857673, 0.01938757555818973, 0.09306579005026903, -0.04570143519220157, -0.05721584842540324, 0.3467249449785763, -0.08266661171532738, -0.22823059446393298, 0.11162237542896317, -0.23754389534990947, -0.15393123622768773, 0.09863912783778057, 0.13335652130548484, 0.0885489819965397, -0.07144519233093329, 0.1515163740747644, -0.12808094097014802, 0.14641124843977965, 0.03477278203846743, 0.011407768885748317, 0.14994390308498762, 0.11554591509943399, 0.11294629794473832, 0.13205851785695324, -0.10167256369559954, -0.14914483198036368, -0.30109248790137755, -0.18984313939626402, -0.309162628010381, 0.14788050417555496, -0.20835164993846914, -0.24185419068313563, 0.35500629195728556, 0.12185090681036505, 0.26484071877426824, 0.15936073834130254, 0.23293152652107751, 0.14521888543744213, -0.022108373295766516, 0.07640222580028841, 0.09574200412585364, 0.19881105384287925, 0.06305838097961476, -0.16351546235203457, 0.08250808385559, 0.05987303645278399] |
709.4679 | Periodic bifurcation from families of periodic solutions for semilinear
differential equations with Lipschitzian perturbations in Banach spaces | Let A:D(A)\to E be an infinitesimal generator either of an analytic compact
semigroup or of a contractive C_0-semigroup of linear operators acting in a
Banach space E. In this paper we give both necessary and sufficient conditions
for bifurcation of $T$-periodic solutions for the equation x'=Ax+f(t,x)+e
g(t,x,e) from a k-parameterized family of T-periodic solutions of the
unperturbed equation corresponding to e=0. We show that by means of a suitable
modification of the classical Mel'nikov approach we can construct a bifurcation
function and to formulate the conditions for the existence of bifurcation in
terms of the topological index of the bifurcation function. To do this, since
the perturbation term g is only Lipschitzian we need to extend the classical
Lyapunov-Schmidt reduction to the present nonsmooth case.
| math.CA | let adato e be an infinitesimal generator either of an analytic compact semigroup or of a contractive c_0semigroup of linear operators acting in a banach space e in this paper we give both necessary and sufficient conditions for bifurcation of tperiodic solutions for the equation xaxftxe gtxe from a kparameterized family of tperiodic solutions of the unperturbed equation corresponding to e0 we show that by means of a suitable modification of the classical melnikov approach we can construct a bifurcation function and to formulate the conditions for the existence of bifurcation in terms of the topological index of the bifurcation function to do this since the perturbation term g is only lipschitzian we need to extend the classical lyapunovschmidt reduction to the present nonsmooth case | [['let', 'adato', 'e', 'be', 'an', 'infinitesimal', 'generator', 'either', 'of', 'an', 'analytic', 'compact', 'semigroup', 'or', 'of', 'a', 'contractive', 'c_0semigroup', 'of', 'linear', 'operators', 'acting', 'in', 'a', 'banach', 'space', 'e', 'in', 'this', 'paper', 'we', 'give', 'both', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'bifurcation', 'of', 'tperiodic', 'solutions', 'for', 'the', 'equation', 'xaxftxe', 'gtxe', 'from', 'a', 'kparameterized', 'family', 'of', 'tperiodic', 'solutions', 'of', 'the', 'unperturbed', 'equation', 'corresponding', 'to', 'e0', 'we', 'show', 'that', 'by', 'means', 'of', 'a', 'suitable', 'modification', 'of', 'the', 'classical', 'melnikov', 'approach', 'we', 'can', 'construct', 'a', 'bifurcation', 'function', 'and', 'to', 'formulate', 'the', 'conditions', 'for', 'the', 'existence', 'of', 'bifurcation', 'in', 'terms', 'of', 'the', 'topological', 'index', 'of', 'the', 'bifurcation', 'function', 'to', 'do', 'this', 'since', 'the', 'perturbation', 'term', 'g', 'is', 'only', 'lipschitzian', 'we', 'need', 'to', 'extend', 'the', 'classical', 'lyapunovschmidt', 'reduction', 'to', 'the', 'present', 'nonsmooth', 'case']] | [-0.18479923686941108, 0.04984978148907734, -0.11423166291324452, 0.05415263609123999, -0.11108854195913224, -0.09873519121949387, 0.0237880445026785, 0.2824931377469282, -0.3039774152230683, -0.18749518091866096, 0.13127990818783125, -0.2488027970813881, -0.17764205656135532, 0.18908613335579724, -0.09879165809086668, 0.09020910595308959, 0.062213404781783256, 0.07431010267038535, -0.09458217629216369, -0.18706800006481447, 0.40954099207874234, -0.035436680972030975, 0.16586273322705317, 0.026600397581885742, 0.11114934308272673, 0.00302581534895107, 0.039797982411095646, -0.022735275443864805, -0.19581172086244752, 0.0764679843256992, 0.2531574922916669, 0.09446189940596621, 0.2972460980792113, -0.39974812321304304, -0.17812082647323246, 0.18953950217796292, 0.12750932017371544, 0.06474505342558269, -0.030942756249152912, -0.28210212362786313, 0.12451814832468706, -0.15303972856391493, -0.19144973162622228, -0.12023237003089209, 0.04369184827598614, 0.04700290417010949, -0.358550192322582, 0.06356179230369446, 0.11747791629466342, 0.05863783263215205, -0.12015546808337293, -0.02293412165140839, -0.07624866035804759, 0.06400714389699685, 0.007861030382687241, 0.044716444222362546, 0.054791066360213164, -0.06118892366066575, -0.09481370890355949, 0.33253485524063414, -0.11054152387338198, -0.25176997768230797, 0.14916979539969072, -0.15438364495757997, -0.11154950438332327, 0.11135068611522031, 0.14021380509938894, 0.16460002357744974, -0.13833975238437818, 0.16340668278659232, -0.030279923362441633, 0.11294344780451762, 0.07566199232862006, -0.024080436381443245, 0.08448498596899151, 0.11012682193753923, 0.1693738825388283, 0.16670622533789223, 0.013689893960377307, -0.05009674832860871, -0.3952458228885643, -0.14040033649501762, -0.14699811668597101, 0.11723186642809855, -0.09358873391276457, -0.22785058056526794, 0.41550858654611844, 0.10081130743870981, 0.2008502341625167, 0.06941585286664284, 0.21604833985883287, 0.19339302266575017, -0.009089638285974904, 0.06431011901032634, 0.1935699640932243, 0.15462554786619315, 0.07336514047157716, -0.2039808333658318, -0.009358698799373294, 0.17486233876382068] |
709.468 | Parameter Tuning of Three-Flavor Dynamical Anisotropic Clover Action | In this work, we perform parameter tuning with dynamical anisotropic clover
lattices using the Schr\"odinger functional and stout-smearing in the fermion
field. We find that $\xi_R/\xi_0$ is relatively close to 1 in our parameter
search, which allows us to fix $\xi_0$ in our runs. We proposed to determine
the gauge and fermion anisotropy in a Schr\"odinger-background small box using
Wilson loop ratios and PCAC masses. We demonstrate that these ideas are
equivalent to but more efficient than the conventional meson dispersion
approach. The spatial and temporal clover coefficients are fixed to the
tree-level tadpole-improved clover values, and we demonstrate that they satisfy
the nonperturbative condition determined by Schr\"odinger functional method.
| hep-lat | in this work we perform parameter tuning with dynamical anisotropic clover lattices using the schrodinger functional and stoutsmearing in the fermion field we find that xi_rxi_0 is relatively close to 1 in our parameter search which allows us to fix xi_0 in our runs we proposed to determine the gauge and fermion anisotropy in a schrodingerbackground small box using wilson loop ratios and pcac masses we demonstrate that these ideas are equivalent to but more efficient than the conventional meson dispersion approach the spatial and temporal clover coefficients are fixed to the treelevel tadpoleimproved clover values and we demonstrate that they satisfy the nonperturbative condition determined by schrodinger functional method | [['in', 'this', 'work', 'we', 'perform', 'parameter', 'tuning', 'with', 'dynamical', 'anisotropic', 'clover', 'lattices', 'using', 'the', 'schrodinger', 'functional', 'and', 'stoutsmearing', 'in', 'the', 'fermion', 'field', 'we', 'find', 'that', 'xi_rxi_0', 'is', 'relatively', 'close', 'to', '1', 'in', 'our', 'parameter', 'search', 'which', 'allows', 'us', 'to', 'fix', 'xi_0', 'in', 'our', 'runs', 'we', 'proposed', 'to', 'determine', 'the', 'gauge', 'and', 'fermion', 'anisotropy', 'in', 'a', 'schrodingerbackground', 'small', 'box', 'using', 'wilson', 'loop', 'ratios', 'and', 'pcac', 'masses', 'we', 'demonstrate', 'that', 'these', 'ideas', 'are', 'equivalent', 'to', 'but', 'more', 'efficient', 'than', 'the', 'conventional', 'meson', 'dispersion', 'approach', 'the', 'spatial', 'and', 'temporal', 'clover', 'coefficients', 'are', 'fixed', 'to', 'the', 'treelevel', 'tadpoleimproved', 'clover', 'values', 'and', 'we', 'demonstrate', 'that', 'they', 'satisfy', 'the', 'nonperturbative', 'condition', 'determined', 'by', 'schrodinger', 'functional', 'method']] | [-0.09929167331418319, 0.20724752245940894, -0.10073033934372051, 0.08706476959338952, -0.08725906507477652, -0.15605132402003544, 0.05156188282819691, 0.4255478901040053, -0.16536995959598746, -0.2966602146320881, 0.025252354421618037, -0.2611278918046541, -0.12730965103571104, 0.15664845084223164, 0.007201146569416345, 0.10382704061380409, 0.0572375248917422, -0.007370950945731357, -0.11831687475558997, -0.2504982328233875, 0.3553454803355108, 0.024316302143803266, 0.2335770781735115, 0.09755268219040236, 0.0732580335227616, 0.01744111937309711, -0.03761482176971491, 0.011046234788111994, -0.14358178229242832, 0.10544781902887658, 0.1823449430630377, -0.0034265691538506718, 0.17217749520857759, -0.3789529122029231, -0.17396247497472528, 0.07844979759462387, 0.15710321687832127, 0.11041420270475585, 0.005485121445119964, -0.28926928167744914, 0.12391051622194664, -0.1552011400469901, -0.15018878383975406, -0.17281149018764774, -0.05291199418999011, -0.04209004590618555, -0.35330763485317473, 0.07277015590970622, -0.042754867555036116, 0.029969814842758336, -0.02802931497180312, -0.14019901774144758, 0.002573755769946865, 0.087726314090819, 0.07891878975494374, 0.054298991054540204, 0.0956597392943418, -0.11324214391088305, -0.09801691707014759, 0.3790158594775701, -0.10269259363937815, -0.2454428659829803, 0.16497653515609068, -0.1658493328587126, -0.1357578261032979, 0.07211962670747954, 0.14317042688038376, 0.10281088389456272, -0.15266669707842798, 0.11395553418241494, -0.0476005436574048, 0.21431670104214381, 0.08369655577274406, 0.00443360472759493, 0.15405211757833712, 0.11680775502627001, 0.04621931643194789, 0.0832399045004048, -0.05425560461775025, -0.11202439610524295, -0.2873436069968983, -0.1115908937955223, -0.14393043154458923, 0.04201602672061352, -0.13703329640450979, -0.15328889879371935, 0.37134443167771136, 0.25080768646515694, 0.1937123575970252, 0.06441209997185375, 0.23748761979932678, 0.15078317180980938, 0.13406218547661242, 0.08651900697699705, 0.22878114524227786, 0.1296084846922623, 0.08532081716737458, -0.30291870096263207, -0.10535031381263354, 0.1207472808097672] |
709.4681 | Regularity theory for fully nonlinear integro-differential equations | We consider nonlinear integro-differential equations, like the ones that
arise from stochastic control problems with purely jump L\`evy processes. We
obtain a nonlocal version of the ABP estimate, Harnack inequality, and interior
$C^{1,\alpha}$ regularity for general fully nonlinear integro-differential
equations. Our estimates remain uniform as the degree of the equation
approaches two, so they can be seen as a natural extension of the regularity
theory for elliptic partial differential equations.
| math.AP | we consider nonlinear integrodifferential equations like the ones that arise from stochastic control problems with purely jump levy processes we obtain a nonlocal version of the abp estimate harnack inequality and interior c1alpha regularity for general fully nonlinear integrodifferential equations our estimates remain uniform as the degree of the equation approaches two so they can be seen as a natural extension of the regularity theory for elliptic partial differential equations | [['we', 'consider', 'nonlinear', 'integrodifferential', 'equations', 'like', 'the', 'ones', 'that', 'arise', 'from', 'stochastic', 'control', 'problems', 'with', 'purely', 'jump', 'levy', 'processes', 'we', 'obtain', 'a', 'nonlocal', 'version', 'of', 'the', 'abp', 'estimate', 'harnack', 'inequality', 'and', 'interior', 'c1alpha', 'regularity', 'for', 'general', 'fully', 'nonlinear', 'integrodifferential', 'equations', 'our', 'estimates', 'remain', 'uniform', 'as', 'the', 'degree', 'of', 'the', 'equation', 'approaches', 'two', 'so', 'they', 'can', 'be', 'seen', 'as', 'a', 'natural', 'extension', 'of', 'the', 'regularity', 'theory', 'for', 'elliptic', 'partial', 'differential', 'equations']] | [-0.08212180349842778, 0.05281039542917695, -0.096687649389995, 0.12877810447742896, -0.14763698013765472, -0.18106396745092102, -0.08699744822889832, 0.26049133951642683, -0.38596883301756213, -0.22871774962238436, 0.17521646617512618, -0.32094901641165574, -0.1498718623180009, 0.2068719652215285, -0.09263766947801091, 0.11777063703962735, 0.053576668578067, -0.01903405347838998, -0.059939411623469954, -0.1817287897059162, 0.3604561584070325, -0.1205388235992619, 0.14919390406991753, -0.01009219234277095, 0.15731795787412142, -0.02583228492044977, -0.01533187200714435, 0.05102538463792631, -0.21085443785133456, 0.11797915980485933, 0.2682408169444118, 0.03372850781971855, 0.30473271062863727, -0.46679105118715336, -0.26295862148648924, 0.11170109541022352, 0.1270638700703525, 0.1222574625962547, -0.047584574297070505, -0.3019315688471709, 0.024054483886409017, -0.10139291904987269, -0.2431566508220775, -0.07992899143137037, -0.03520324742421508, 0.09254751966467925, -0.33635677176394635, 0.1640606456436217, 0.1463869496913893, 0.03497608450707048, -0.12213202017093343, -0.08695402678734224, -0.026426545207920885, 0.021389571124953884, 0.0062528445535073324, -0.03393091715074011, 0.0780882006178477, -0.12465538648622376, -0.12966550053762538, 0.32268470772542057, -0.12999492079418684, -0.32785615197249823, 0.13271037963817695, -0.1280983110091516, -0.143031098447474, 0.10004558347697769, 0.21969443517737092, 0.21406121603213252, -0.20167975983183298, 0.1436477667244617, -0.07812327628156969, 0.1097281248042626, 0.07138144163680928, 0.037286956372970186, 0.029143066511356404, 0.09869608280381986, 0.19589683136104474, 0.1068162003116283, 0.0539372617511877, -0.16881566136144102, -0.3952257959671052, -0.12980949726354862, -0.06693655374526446, 0.1441710005348016, -0.14591235275500886, -0.22488151397389758, 0.2972029935618463, 0.12682740960403213, 0.13650045429489444, 0.10250581775658897, 0.21895876423721866, 0.28604251782775725, -0.001972207866076912, 0.0837817059696785, 0.18512134453547852, 0.22427327133981245, 0.17980090048430222, -0.17763910253997892, 0.08431905449002183, 0.18571095541119576] |
709.4682 | Gravitational waves | These lectures are envisioned to be an introductory, basic course in
gravitational-wave physics.
| gr-qc | these lectures are envisioned to be an introductory basic course in gravitationalwave physics | [['these', 'lectures', 'are', 'envisioned', 'to', 'be', 'an', 'introductory', 'basic', 'course', 'in', 'gravitationalwave', 'physics']] | [-0.00406950583251623, 0.26383944454965574, -0.09834490702129327, 0.17608374672440383, -0.22449624108580443, -0.13472733410218588, -0.2257940031301517, 0.2861782988676658, -0.24975027717076814, -0.4276725889111941, 0.17790695311179242, -0.25387026484196, -0.1875358851483235, 0.30040208544009006, -0.1353956819153749, -0.025793474525786363, 0.08754679281264544, -0.02856168867303775, -0.05061923640851791, -0.43346247865030396, 0.25392052416618055, 0.23982818324405414, 0.1662514235537786, -0.036694204434752464, 0.012290118477092339, -0.07650755832974727, -0.09442704572127415, -0.09747023536608769, -0.13421803060919046, 0.1340543689349523, 0.6136502365653331, 0.21085450881554818, 0.3587142713367939, -0.5878890454769135, -0.0878416382922576, -0.06769270020035598, 0.04087830560568433, 0.15380487355287187, -0.012071937322616577, -0.35187084055863893, 0.02305893485362713, -0.15503381944906253, -0.11175662393753345, 0.007155448592339571, 0.01733081594396096, 0.0584196700499608, -0.06699915860707943, -0.0729116454290656, 0.0400278980915363, 0.15063657554296347, -0.015611430021146169, -0.19551134338745704, 0.1369471442169295, 0.11655896830444153, 0.007992448715063242, 0.03910544285407433, 0.18356509950871652, -0.12599420733749866, -0.2598697611918816, 0.41609303710552364, 0.03850874698792513, -0.05339540598484186, 0.17102149658155844, -0.14111529752755395, -0.20268036163626954, 0.07670910570483941, 0.3333148818749648, 0.08853553980588913, -0.2714711410494951, 0.05396276511825048, 0.10676807337082349, 0.17135202139616013, 0.023429864551872015, 0.06062155446180931, 0.4386975813943606, 0.19059650513988274, -0.08321700646327092, -0.054312254597719475, 0.09112895396538079, -0.11931923318367738, -0.5235272026979007, -0.16861274981727967, -0.1856198517175821, 0.11506659996051055, 0.14434400630685, -0.06709258516247456, 0.40850404707285076, 0.2078363882521024, 0.011104050164039318, -0.13826524172551358, 0.18049314331549865, 0.15830711003106374, -0.04354862854457819, -0.028908016589971688, 0.26598437846853185, 0.07110985540426694, 0.16804125088338667, 0.04016746852833491, -0.08075224335950154, 0.13684655002389962] |
710.0001 | Moduli Stabilization in Stringy ISS Models | We present a stringy realization of the ISS metastable SUSY breaking model
with moduli stabilization. The mass moduli of the ISS model is stabilized by
gauging of a U(1) symmetry and its D-term potential. The SUSY is broken both by
F-terms and D-terms. It is possible to obtain de-Sitter vacua with a
vanishingly small cosmological constant by an appropriate fine-tuning of flux
parameters.
| hep-th hep-ph | we present a stringy realization of the iss metastable susy breaking model with moduli stabilization the mass moduli of the iss model is stabilized by gauging of a u1 symmetry and its dterm potential the susy is broken both by fterms and dterms it is possible to obtain desitter vacua with a vanishingly small cosmological constant by an appropriate finetuning of flux parameters | [['we', 'present', 'a', 'stringy', 'realization', 'of', 'the', 'iss', 'metastable', 'susy', 'breaking', 'model', 'with', 'moduli', 'stabilization', 'the', 'mass', 'moduli', 'of', 'the', 'iss', 'model', 'is', 'stabilized', 'by', 'gauging', 'of', 'a', 'u1', 'symmetry', 'and', 'its', 'dterm', 'potential', 'the', 'susy', 'is', 'broken', 'both', 'by', 'fterms', 'and', 'dterms', 'it', 'is', 'possible', 'to', 'obtain', 'desitter', 'vacua', 'with', 'a', 'vanishingly', 'small', 'cosmological', 'constant', 'by', 'an', 'appropriate', 'finetuning', 'of', 'flux', 'parameters']] | [-0.2049548505317597, 0.2912248668192963, -0.040211920914728014, 0.11931668671165845, -0.11412325710989535, -0.19557022915354796, 0.016537566924290287, 0.30681951208010555, -0.22049042286853943, -0.29648701323284987, 0.1642217078719229, -0.1606779188390762, -0.10293693092489054, 0.04682187767817624, -0.08148886780771944, 0.03557571879540023, -0.04728388940058057, -0.054220798055803966, -0.060753086893191, -0.2646580928463548, 0.337023894731251, 0.07034214618634285, 0.2188694321306511, 0.03746972391234031, 0.14264646156816668, -0.10278209647725499, 0.07566556945029232, -0.07224529294208401, -0.13996800169762638, 0.11015411921673351, 0.14866663700354005, 0.03872352010673947, 0.09843323793676165, -0.36607063017667285, -0.21560484496137453, 0.19221593699758016, 0.0929622633183109, 0.18605388988489432, -0.08373232434193294, -0.3415259237563799, 0.05958312046196726, -0.18471829891057004, -0.1814093103647114, -0.14366415700328256, -0.008064147683658771, -0.15782400220632553, -0.2999798696606405, 0.0816646074905755, -0.0700988486438753, 0.011132904919721777, -0.11538312300884475, -0.04509054155399402, -0.18995398986670706, -0.012434443628918084, 0.25537816893368487, 0.03964758473670199, 0.14421438429659852, -0.21388621178884354, -0.10977613436619914, 0.42299550706668504, -0.0840553284460117, -0.18447902794956925, 0.08599611664456981, -0.04553091317315453, -0.13561592862335226, 0.153487705285587, 0.04545261282917289, 0.11516202066004985, -0.08158391291305186, 0.2767669128989505, 0.00658583428363301, 0.19179188007754938, 0.05248626501905539, 0.01741019191796936, 0.28291222343723926, 0.21247185550127473, 0.1033577827500209, 0.12365985995838566, -0.013546541887557223, -0.10337686269739939, -0.47993858761730646, -0.09256582606642966, -0.13887371530845052, 0.12485599214772856, -0.1640212080096789, -0.14888767966084063, 0.3910197118622443, 0.07620092524245145, 0.2466750959126604, 0.0428523811851702, 0.24230324899748204, 0.06132524509337686, 0.09251866975636591, -0.05232020163731206, 0.31528064771185793, 0.08857860845617122, 0.06812247382624755, -0.271672008743894, -0.11497261838078321, 0.1553534451753847] |
710.0002 | The Spectral Shape of the Gamma-ray Background from Blazars | The spectral shape of the unresolved emission from different classes of
gamma-ray emitters can be used to disentangle the contributions from these
populations to the extragalactic gamma-ray background (EGRB). We present a
calculation of the unabsorbed spectral shape of the unresolved blazar
contribution to the EGRB starting from the spectral index distribution (SID) of
resolved EGRET blazars derived through a maximum-likelihood analysis accounting
for measurement errors. In addition, we explicitly calculate the uncertainty in
this theoretically predicted spectral shape, which enters through the spectral
index distribution parameters. We find that: (a) the unresolved blazar emission
spectrum is only mildly convex, and thus, even if blazars are shown by GLAST to
be a dominant contribution to the ERGB at lower energies, they may be
insufficient to explain the EGRB at higher energies; (b) the theoretically
predicted unresolved spectral shape involves significant uncertainties due to
the limited constraints provided by EGRET data on the SID parameters, which are
comparable to the statistical uncertainties of the observed EGRET EGRB at high
energies; (c) the increased number statistics which will be provided by GLAST
will be sufficient to reduce this uncertainty by at least a factor of three.
| astro-ph | the spectral shape of the unresolved emission from different classes of gammaray emitters can be used to disentangle the contributions from these populations to the extragalactic gammaray background egrb we present a calculation of the unabsorbed spectral shape of the unresolved blazar contribution to the egrb starting from the spectral index distribution sid of resolved egret blazars derived through a maximumlikelihood analysis accounting for measurement errors in addition we explicitly calculate the uncertainty in this theoretically predicted spectral shape which enters through the spectral index distribution parameters we find that a the unresolved blazar emission spectrum is only mildly convex and thus even if blazars are shown by glast to be a dominant contribution to the ergb at lower energies they may be insufficient to explain the egrb at higher energies b the theoretically predicted unresolved spectral shape involves significant uncertainties due to the limited constraints provided by egret data on the sid parameters which are comparable to the statistical uncertainties of the observed egret egrb at high energies c the increased number statistics which will be provided by glast will be sufficient to reduce this uncertainty by at least a factor of three | [['the', 'spectral', 'shape', 'of', 'the', 'unresolved', 'emission', 'from', 'different', 'classes', 'of', 'gammaray', 'emitters', 'can', 'be', 'used', 'to', 'disentangle', 'the', 'contributions', 'from', 'these', 'populations', 'to', 'the', 'extragalactic', 'gammaray', 'background', 'egrb', 'we', 'present', 'a', 'calculation', 'of', 'the', 'unabsorbed', 'spectral', 'shape', 'of', 'the', 'unresolved', 'blazar', 'contribution', 'to', 'the', 'egrb', 'starting', 'from', 'the', 'spectral', 'index', 'distribution', 'sid', 'of', 'resolved', 'egret', 'blazars', 'derived', 'through', 'a', 'maximumlikelihood', 'analysis', 'accounting', 'for', 'measurement', 'errors', 'in', 'addition', 'we', 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'statistics', 'which', 'will', 'be', 'provided', 'by', 'glast', 'will', 'be', 'sufficient', 'to', 'reduce', 'this', 'uncertainty', 'by', 'at', 'least', 'a', 'factor', 'of', 'three']] | [-0.014281105961279046, 0.1354000625041328, -0.08887070192535615, 0.20172338144928506, -0.09171089534816655, -0.10016507686265393, 0.042675385831908316, 0.4238694760311453, -0.23482867170347219, -0.3919191897166362, 0.03588994603647508, -0.29637546016028815, 0.0011328089538324682, 0.21308992563661217, -0.045223128359398075, 0.01542491701532908, 0.0585996905170439, -0.07581904071137077, -0.03570397525188547, -0.21453266125413653, 0.29346692887462983, 0.16582955396372265, 0.22491749177971576, 0.05931594921999799, 0.0584183518100443, -0.07149331719395005, -0.073852457271387, -0.004517469532821578, -0.09088981490229514, 0.119879438408525, 0.2762563357930727, 0.08752873727878063, 0.17215265995755213, -0.31749005814039494, -0.2506284822849798, 0.13849257233605716, 0.1540289193107095, 0.04144743224183686, 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710.0003 | Elemental Abundances of Blue Compact Dwarfs from mid-IR Spectroscopy
with Spitzer | We present a study of elemental abundances in a sample of thirteen Blue
Compact Dwarf (BCD) galaxies, using the $\sim$10--37$\mu$m high resolution
spectra obtained with Spitzer/IRS. We derive the abundances of neon and sulfur
for our sample using the infrared fine-structure lines probing regions which
may be obscured by dust in the optical and compare our results with similar
infrared studies of starburst galaxies from ISO. We find a good correlation
between the neon and sulfur abundances, though sulfur is under-abundant
relative to neon with respect to the solar value. A comparison of the elemental
abundances (neon, sulfur) measured from the infrared data with those derived
from the optical (neon, sulfur, oxygen) studies reveals a good overall
agreement for sulfur, while the infrared derived neon abundances are slightly
higher than the optical values. This indicates that either the metallicities of
dust enshrouded regions in BCDs are similar to the optically accessible
regions, or that if they are different they do not contribute substantially to
the total infrared emission of the host galaxy.
| astro-ph | we present a study of elemental abundances in a sample of thirteen blue compact dwarf bcd galaxies using the sim1037mum high resolution spectra obtained with spitzerirs we derive the abundances of neon and sulfur for our sample using the infrared finestructure lines probing regions which may be obscured by dust in the optical and compare our results with similar infrared studies of starburst galaxies from iso we find a good correlation between the neon and sulfur abundances though sulfur is underabundant relative to neon with respect to the solar value a comparison of the elemental abundances neon sulfur measured from the infrared data with those derived from the optical neon sulfur oxygen studies reveals a good overall agreement for sulfur while the infrared derived neon abundances are slightly higher than the optical values this indicates that either the metallicities of dust enshrouded regions in bcds are similar to the optically accessible regions or that if they are different they do not contribute substantially to the total infrared emission of the host galaxy | [['we', 'present', 'a', 'study', 'of', 'elemental', 'abundances', 'in', 'a', 'sample', 'of', 'thirteen', 'blue', 'compact', 'dwarf', 'bcd', 'galaxies', 'using', 'the', 'sim1037mum', 'high', 'resolution', 'spectra', 'obtained', 'with', 'spitzerirs', 'we', 'derive', 'the', 'abundances', 'of', 'neon', 'and', 'sulfur', 'for', 'our', 'sample', 'using', 'the', 'infrared', 'finestructure', 'lines', 'probing', 'regions', 'which', 'may', 'be', 'obscured', 'by', 'dust', 'in', 'the', 'optical', 'and', 'compare', 'our', 'results', 'with', 'similar', 'infrared', 'studies', 'of', 'starburst', 'galaxies', 'from', 'iso', 'we', 'find', 'a', 'good', 'correlation', 'between', 'the', 'neon', 'and', 'sulfur', 'abundances', 'though', 'sulfur', 'is', 'underabundant', 'relative', 'to', 'neon', 'with', 'respect', 'to', 'the', 'solar', 'value', 'a', 'comparison', 'of', 'the', 'elemental', 'abundances', 'neon', 'sulfur', 'measured', 'from', 'the', 'infrared', 'data', 'with', 'those', 'derived', 'from', 'the', 'optical', 'neon', 'sulfur', 'oxygen', 'studies', 'reveals', 'a', 'good', 'overall', 'agreement', 'for', 'sulfur', 'while', 'the', 'infrared', 'derived', 'neon', 'abundances', 'are', 'slightly', 'higher', 'than', 'the', 'optical', 'values', 'this', 'indicates', 'that', 'either', 'the', 'metallicities', 'of', 'dust', 'enshrouded', 'regions', 'in', 'bcds', 'are', 'similar', 'to', 'the', 'optically', 'accessible', 'regions', 'or', 'that', 'if', 'they', 'are', 'different', 'they', 'do', 'not', 'contribute', 'substantially', 'to', 'the', 'total', 'infrared', 'emission', 'of', 'the', 'host', 'galaxy']] | [0.031728056123295025, 0.09551507487555431, -0.029318269540975144, 0.05668280454357944, 0.03390770497029288, -0.05643605361338596, 0.09011660578214067, 0.5096800891976607, -0.11190465614281334, -0.34289450338280525, 0.0023607550419006518, -0.33847463370317166, -0.006020994526089022, 0.17561323366642587, -0.05280704960248798, -0.05738634316375607, 0.05036169409000298, -0.1227382015524029, -0.08295929659435754, -0.26117950529731504, 0.274917049643894, 0.0849798306365285, 0.18570519673327604, -0.05009465973704443, -0.027071221395973007, -0.18025166735329465, -0.09049226904876138, 0.007990677285481963, -0.1278117937067345, 0.11613259852825723, 0.2854350552981316, 0.07143893067681432, 0.14053959140420635, -0.3819206385209997, -0.1974998128148373, 0.08949540619743847, 0.15927197195164727, 0.06643046650079716, -0.12461743120387284, -0.2434467746064677, 0.02308118703628057, -0.11761993878488347, -0.16844591037887666, 0.030685885760344957, 0.005453959891670628, 0.056316700217665355, -0.24255112025407496, 0.09645639872348633, -0.05821600048277733, 0.13279982781233757, -0.1496198770334149, -0.19554141770274927, -0.13550532934642587, 0.07862149937791826, -0.024349818884378725, 0.0010168230220980463, 0.22859956454267802, -0.1121826596212252, 0.04796054637044592, 0.4383277986906687, -0.1326549090258675, 0.03200248780262749, 0.2808950783232804, -0.20443197343857927, -0.17741151484633572, 0.21176815215955702, 0.04980178835001169, 0.1528264885844543, -0.17528287935675235, 0.002522665017750114, -0.06449285386898146, 0.233858239493872, 0.06278493776318361, 0.1281505896739559, 0.25854546106617887, 0.07250342132422899, 0.0121870329746519, 0.07851949096037815, -0.19037031193879264, -0.01738394461354317, -0.20183870666633136, -0.16847506117576744, -0.08805727362305972, 0.07623732596513616, -0.1353782821983291, -0.10791278002533125, 0.2994957754432022, 0.10890244554567603, 0.24582513511093737, 0.004328267475214313, 0.3250511103576561, 0.090732913274367, 0.10830721760179564, 0.07955497442009418, 0.34171759655252537, 0.1544005918215786, 0.09492043136586353, -0.2946499504342305, 0.10399592414836002, 0.01342962677345464] |
710.0004 | Synchronization problems for unidirectional feedback coupled nonlinear
systems | In this paper we consider three different synchronization problems consisting
in designing a nonlinear feedback unidirectional coupling term for two
(possibly chaotic) dynamical systems in order to drive the trajectories of one
of them, the slave system, to a reference trajectory or to a prescribed
neighborhood of the reference trajectory of the second dynamical system: the
master system. If the slave system is chaotic then synchronization can be
viewed as the control of chaos; namely the coupling term allows to suppress the
chaotic motion by driving the chaotic system to a prescribed reference
trajectory. Assuming that the entire vector field representing the velocity of
the state can be modified, three different methods to define the nonlinear
feedback synchronizing controller are proposed: one for each of the treated
problems. These methods are based on results from the small parameter
perturbation theory of autonomous systems having a limit cycle, from nonsmooth
analysis and from the singular perturbation theory respectively. Simulations to
illustrate the effectiveness of the obtained results are also presented.
| math.CA | in this paper we consider three different synchronization problems consisting in designing a nonlinear feedback unidirectional coupling term for two possibly chaotic dynamical systems in order to drive the trajectories of one of them the slave system to a reference trajectory or to a prescribed neighborhood of the reference trajectory of the second dynamical system the master system if the slave system is chaotic then synchronization can be viewed as the control of chaos namely the coupling term allows to suppress the chaotic motion by driving the chaotic system to a prescribed reference trajectory assuming that the entire vector field representing the velocity of the state can be modified three different methods to define the nonlinear feedback synchronizing controller are proposed one for each of the treated problems these methods are based on results from the small parameter perturbation theory of autonomous systems having a limit cycle from nonsmooth analysis and from the singular perturbation theory respectively simulations to illustrate the effectiveness of the obtained results are also presented | [['in', 'this', 'paper', 'we', 'consider', 'three', 'different', 'synchronization', 'problems', 'consisting', 'in', 'designing', 'a', 'nonlinear', 'feedback', 'unidirectional', 'coupling', 'term', 'for', 'two', 'possibly', 'chaotic', 'dynamical', 'systems', 'in', 'order', 'to', 'drive', 'the', 'trajectories', 'of', 'one', 'of', 'them', 'the', 'slave', 'system', 'to', 'a', 'reference', 'trajectory', 'or', 'to', 'a', 'prescribed', 'neighborhood', 'of', 'the', 'reference', 'trajectory', 'of', 'the', 'second', 'dynamical', 'system', 'the', 'master', 'system', 'if', 'the', 'slave', 'system', 'is', 'chaotic', 'then', 'synchronization', 'can', 'be', 'viewed', 'as', 'the', 'control', 'of', 'chaos', 'namely', 'the', 'coupling', 'term', 'allows', 'to', 'suppress', 'the', 'chaotic', 'motion', 'by', 'driving', 'the', 'chaotic', 'system', 'to', 'a', 'prescribed', 'reference', 'trajectory', 'assuming', 'that', 'the', 'entire', 'vector', 'field', 'representing', 'the', 'velocity', 'of', 'the', 'state', 'can', 'be', 'modified', 'three', 'different', 'methods', 'to', 'define', 'the', 'nonlinear', 'feedback', 'synchronizing', 'controller', 'are', 'proposed', 'one', 'for', 'each', 'of', 'the', 'treated', 'problems', 'these', 'methods', 'are', 'based', 'on', 'results', 'from', 'the', 'small', 'parameter', 'perturbation', 'theory', 'of', 'autonomous', 'systems', 'having', 'a', 'limit', 'cycle', 'from', 'nonsmooth', 'analysis', 'and', 'from', 'the', 'singular', 'perturbation', 'theory', 'respectively', 'simulations', 'to', 'illustrate', 'the', 'effectiveness', 'of', 'the', 'obtained', 'results', 'are', 'also', 'presented']] | [-0.20034502629058423, 0.10521492126711904, -0.08897873035565944, 0.023227383490078725, -0.0311331732760696, -0.15729735015626975, 0.019025951397285613, 0.3078484245625562, -0.31909546258269683, -0.26992566630618986, 0.12716775630895577, -0.25764350934078456, -0.1690141496885039, 0.21953093786944344, -0.05500261811539531, 0.08125998195227699, 0.07025855014199865, 0.0838540767955996, -0.03910313770257642, -0.19846821624438482, 0.3387643183173733, -0.007385687682138392, 0.21199989723477006, -0.06364125724518176, 0.130886788302261, -0.014086394844929406, 0.022724596983284728, 0.03878856130831561, -0.0727930002704696, 0.09064103513074344, 0.20542269278339734, 0.0892122047457337, 0.3206466170545866, -0.4107578401095592, -0.23323087096655157, 0.08497378729371982, 0.1371967983500999, 0.14808267907008044, -0.005188922251756551, -0.3083970363819476, 0.08624515200127467, -0.156743827424723, -0.1545659098305778, -0.07121161438391087, -0.03064403049964678, 0.06853448885959072, -0.2968358242961429, 0.045841156131520414, 0.03853170882005344, 0.030818293452505353, -0.09470165939209432, -0.025141485365377685, -0.047413780720430544, 0.1762684618843411, 0.013016258493842855, 0.029932461538456776, 0.1387054065363647, -0.09203192975080005, -0.13533552977416288, 0.38729977921428455, -0.08124336912282935, -0.24479532357547762, 0.20786812299030374, -0.11193634315597764, -0.10202578854328297, 0.12002669506811002, 0.21228521959801044, 0.10317515376845054, -0.17652222859454836, 0.034888218884072515, 0.014956686973637907, 0.1820726849485916, 0.03319946040823703, 0.007904916420336482, 0.1895670198543361, 0.17212303756796837, 0.07431105315718337, 0.12719100222581192, -0.046418126661656976, -0.19017411529268385, -0.3025749263811041, -0.0786789522214225, -0.14320816207241774, 0.002051521203557812, -0.09345832275846332, -0.16805177730695514, 0.4248002624943764, 0.18114734002934582, 0.1790584802638585, 0.03410171322764267, 0.3200141234948856, 0.1645634891678849, 0.01888198429269485, 0.04027800395335319, 0.262893645718319, 0.10930181863254829, 0.09813867203241004, -0.2585262489539899, 0.009137737090815102, 0.09480214239643699] |
710.0005 | A refined analysis of the remarkable Bp star HR 6000 | UVES spectra of the very young (~10^7 years) peculiar B-type star HR 6000
were analyzed in the near-UV and visual spectral regions (3050-9460 A) with the
aim to extend to other spectral ranges the study made previously in the UV
using IUE spectra. Stellar parameters Teff=12850K, logg=4.10, and xi=0km/s, as
determined from H_beta, H_gamma, H_delta Balmer profiles and from the Fe I, Fe
II ionization equilibrium, were used to compute an individual abundances
ATLAS12 model. We identified spectral peculiarities and obtained final stellar
abundances by comparing observed and computed equivalent widths and line
profiles. The adopted model fails to reproduce the (b-y) and c color indices.
The spectral analysis has revealed: the presence of emission lines for Mn II,
Cr II, and Fe II; isotopic anomalies for Hg, Ca; the presence of interstellar
lines of Na I at lambda lambda 3302.3, 3302.9, 5890, 5896 A, and of K I at
7665, 7699 A; the presence of a huge quantity of unidentified lines, which we
presume to be mostly due to Fe II transitions owing to the large Fe
overabundance amounting to [+0.7]. The main chemical peculiarities are an
extreme overabundance of Xe, followed by those of Hg, P, Y, Mn, Fe, Be, and Ti.
The most underabundant element is Si, followed by C, N, Al, S, Mg, V, Sr, Co,
Cl, Sc, and Ni. The silicon underabundance [-2.9] is the lowest value for Si
ever observed in any HgMn star. The observed lines of He I can not be
reproduced by a single value of the He abundance, but they require values
ranging from [-0.8] to [-1.6]. Furthermore, when the observed and computed
wings of He I lines are fitted, the observed line cores are much weaker than
the computed ones. From the present analysis we infer the presence of vertical
abundance stratification for He, Mn, and possibly also P.
| astro-ph | uves spectra of the very young 107 years peculiar btype star hr 6000 were analyzed in the nearuv and visual spectral regions 30509460 a with the aim to extend to other spectral ranges the study made previously in the uv using iue spectra stellar parameters teff12850k logg410 and xi0kms as determined from h_beta h_gamma h_delta balmer profiles and from the fe i fe ii ionization equilibrium were used to compute an individual abundances atlas12 model we identified spectral peculiarities and obtained final stellar abundances by comparing observed and computed equivalent widths and line profiles the adopted model fails to reproduce the by and c color indices the spectral analysis has revealed the presence of emission lines for mn ii cr ii and fe ii isotopic anomalies for hg ca the presence of interstellar lines of na i at lambda lambda 33023 33029 5890 5896 a and of k i at 7665 7699 a the presence of a huge quantity of unidentified lines which we presume to be mostly due to fe ii transitions owing to the large fe overabundance amounting to 07 the main chemical peculiarities are an extreme overabundance of xe followed by those of hg p y mn fe be and ti the most underabundant element is si followed by c n al s mg v sr co cl sc and ni the silicon underabundance 29 is the lowest value for si ever observed in any hgmn star the observed lines of he i can not be reproduced by a single value of the he abundance but they require values ranging from 08 to 16 furthermore when the observed and computed wings of he i lines are fitted the observed line cores are much weaker than the computed ones from the present analysis we infer the presence of vertical abundance stratification for he mn and possibly also p | [['uves', 'spectra', 'of', 'the', 'very', 'young', '107', 'years', 'peculiar', 'btype', 'star', 'hr', '6000', 'were', 'analyzed', 'in', 'the', 'nearuv', 'and', 'visual', 'spectral', 'regions', '30509460', 'a', 'with', 'the', 'aim', 'to', 'extend', 'to', 'other', 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710.0006 | Poincare index and periodic solutions of perturbed autonomous systems | The basic tool of classical results by Malkin and Melnikov on bifurcation of
periodic solutions from nondegenerate cycles of autonomous systems with
periodic perturbations is an implicit function theorem. In this paper the
Poincare index is used to avoid the requirement of nondegeneracity for the
unperturbed cycles and to provide additional geometrical properties of periodic
solutions of the perturbed system.
| math.CA | the basic tool of classical results by malkin and melnikov on bifurcation of periodic solutions from nondegenerate cycles of autonomous systems with periodic perturbations is an implicit function theorem in this paper the poincare index is used to avoid the requirement of nondegeneracity for the unperturbed cycles and to provide additional geometrical properties of periodic solutions of the perturbed system | [['the', 'basic', 'tool', 'of', 'classical', 'results', 'by', 'malkin', 'and', 'melnikov', 'on', 'bifurcation', 'of', 'periodic', 'solutions', 'from', 'nondegenerate', 'cycles', 'of', 'autonomous', 'systems', 'with', 'periodic', 'perturbations', 'is', 'an', 'implicit', 'function', 'theorem', 'in', 'this', 'paper', 'the', 'poincare', 'index', 'is', 'used', 'to', 'avoid', 'the', 'requirement', 'of', 'nondegeneracity', 'for', 'the', 'unperturbed', 'cycles', 'and', 'to', 'provide', 'additional', 'geometrical', 'properties', 'of', 'periodic', 'solutions', 'of', 'the', 'perturbed', 'system']] | [-0.21401802696666475, 0.037196763651297524, -0.11964547507843729, 0.04659658082626697, -0.04468185776623629, -0.11699050298686754, 0.023167255995558352, 0.26388549097513747, -0.29059108899180164, -0.2680272361168922, 0.15835443240101055, -0.2410801399846451, -0.20616686375716986, 0.23774754754820113, -0.11222143734852641, 0.12329242713118004, 0.07323491042953427, 0.04328986895872454, -0.026104178398026753, -0.21414551104150586, 0.3867192450216261, 0.011489867627368136, 0.17901882295638827, -0.02455487938881931, 0.07960197946719699, 0.03233714532343892, -0.0015002983342066911, -0.046928131984452066, -0.160917241631423, 0.1258422436855607, 0.18782524246070337, 0.0807069136062637, 0.2351521766602488, -0.4429968070491391, -0.1801388292273475, 0.10437776811294637, 0.11463079009583946, 0.0962304127835708, -0.0007760925632822564, -0.27993438266596554, 0.1244477689408271, -0.11456365759437115, -0.27568001253530383, -0.07966259263960992, 0.054085446016515715, 0.11353864932780043, -0.26824125660172965, 0.06914070510636952, 0.13564228976808362, 0.10706612773997298, -0.11061609711229675, 0.004143104424810637, -0.06093141204535456, 0.13934669949872008, 0.06019639781818299, -0.01906967249114887, 0.0697893742787636, -0.08399273113789574, -0.11985231351928186, 0.372474369261477, -0.07932420936413109, -0.21950649455489624, 0.1938714984216396, -0.07576038023275403, -0.12726245361964328, 0.16069067443200089, 0.14313779534551047, 0.11911575672990185, -0.15300852030326248, 0.09708045452825283, -0.016841245388959425, 0.15617639865031688, 0.10457708467374224, 0.007242765656467211, 0.17339989825514918, 0.1130498391655037, 0.13354428273515176, 0.15854894772756023, 0.006553789509965454, -0.0973762886567136, -0.2928485844315866, -0.12110939732815881, -0.14700060287269495, 0.07568832941479602, -0.10579020342068407, -0.23103689342358355, 0.43195024562084067, 0.11324442955724484, 0.12361189502023034, 0.01681807925687882, 0.2659138346453971, 0.18257702138843174, -0.0004298238525703802, 0.04170500723866083, 0.2468505603206044, 0.16924754373524023, 0.1264954915001862, -0.1991758991024946, -0.01565764192886398, 0.1510638477028174] |
710.0007 | Surface Brightness Profiles of Composite Images of Compact Galaxies at
z~4-6 in the HUDF | The Hubble Ultra Deep Field (HUDF) contains a significant number of B, V and
i'-band dropout objects, many of which were recently confirmed to be young
star-forming galaxies at z~4-6. These galaxies are too faint individually to
accurately measure their radial surface brightness profiles. Their average
light profiles are potentially of great interest, since they may contain clues
to the time since the onset of significant galaxy assembly. We separately
co-add V, i' and z'-band HUDF images of sets of z~4,5 and 6 objects,
pre-selected to have nearly identical compact sizes and the roundest shapes.
From these stacked images, we are able to study the averaged radial structure
of these objects at much higher signal-to-noise ratio than possible for an
individual faint object. Here we explore the reliability and usefulness of a
stacking technique of compact objects at z~4-6 in the HUDF. Our results are:
(1) image stacking provides reliable and reproducible average surface
brightness profiles; (2) the shape of the average surface brightness profiles
show that even the faintest z~4-6 objects are resolved; and (3) if late-type
galaxies dominate the population of galaxies at z~4-6, as previous HST studies
have shown, then limits to dynamical age estimates for these galaxies from
their profile shapes are comparable with the SED ages obtained from the
broadband colors. We also present accurate measurements of the sky-background
in the HUDF and its associated 1-sigma uncertainties.
| astro-ph | the hubble ultra deep field hudf contains a significant number of b v and iband dropout objects many of which were recently confirmed to be young starforming galaxies at z46 these galaxies are too faint individually to accurately measure their radial surface brightness profiles their average light profiles are potentially of great interest since they may contain clues to the time since the onset of significant galaxy assembly we separately coadd v i and zband hudf images of sets of z45 and 6 objects preselected to have nearly identical compact sizes and the roundest shapes from these stacked images we are able to study the averaged radial structure of these objects at much higher signaltonoise ratio than possible for an individual faint object here we explore the reliability and usefulness of a stacking technique of compact objects at z46 in the hudf our results are 1 image stacking provides reliable and reproducible average surface brightness profiles 2 the shape of the average surface brightness profiles show that even the faintest z46 objects are resolved and 3 if latetype galaxies dominate the population of galaxies at z46 as previous hst studies have shown then limits to dynamical age estimates for these galaxies from their profile shapes are comparable with the sed ages obtained from the broadband colors we also present accurate measurements of the skybackground in the hudf and its associated 1sigma uncertainties | [['the', 'hubble', 'ultra', 'deep', 'field', 'hudf', 'contains', 'a', 'significant', 'number', 'of', 'b', 'v', 'and', 'iband', 'dropout', 'objects', 'many', 'of', 'which', 'were', 'recently', 'confirmed', 'to', 'be', 'young', 'starforming', 'galaxies', 'at', 'z46', 'these', 'galaxies', 'are', 'too', 'faint', 'individually', 'to', 'accurately', 'measure', 'their', 'radial', 'surface', 'brightness', 'profiles', 'their', 'average', 'light', 'profiles', 'are', 'potentially', 'of', 'great', 'interest', 'since', 'they', 'may', 'contain', 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710.0008 | Dissociative electron attachment to the H2O molecule. I. Complex-valued
potential-energy surfaces for the 2B1, 2A1, and 2B2 metastable states of the
water anion | We present the results of calculations defining global, three-dimensional
representations of the complex-valued potential-energy surfaces of the doublet
B1, doublet A1, and doublet B2 metastable states of the water anion that
underlie the physical process of dissociative electron attachment to water. The
real part of the resonance energies is obtained from configuration-interaction
calculations performed in a restricted Hilbert space, while the imaginary part
of the energies (the widths) is derived from complex Kohn scattering
calculations. A diabatization is performed on the 2A1 and 2B2 surfaces, due to
the presence of a conical intersection between them. We discuss the
implications that the shapes of the constructed potential-energy surfaces will
have upon the nuclear dynamics of dissociative electron attachment to H2O.
This work originally appeared as Phys Rev A 75, 012710 (2007). Typesetting
errors in the published version have been corrected here.
| physics.chem-ph | we present the results of calculations defining global threedimensional representations of the complexvalued potentialenergy surfaces of the doublet b1 doublet a1 and doublet b2 metastable states of the water anion that underlie the physical process of dissociative electron attachment to water the real part of the resonance energies is obtained from configurationinteraction calculations performed in a restricted hilbert space while the imaginary part of the energies the widths is derived from complex kohn scattering calculations a diabatization is performed on the 2a1 and 2b2 surfaces due to the presence of a conical intersection between them we discuss the implications that the shapes of the constructed potentialenergy surfaces will have upon the nuclear dynamics of dissociative electron attachment to h2o this work originally appeared as phys rev a 75 012710 2007 typesetting errors in the published version have been corrected here | [['we', 'present', 'the', 'results', 'of', 'calculations', 'defining', 'global', 'threedimensional', 'representations', 'of', 'the', 'complexvalued', 'potentialenergy', 'surfaces', 'of', 'the', 'doublet', 'b1', 'doublet', 'a1', 'and', 'doublet', 'b2', 'metastable', 'states', 'of', 'the', 'water', 'anion', 'that', 'underlie', 'the', 'physical', 'process', 'of', 'dissociative', 'electron', 'attachment', 'to', 'water', 'the', 'real', 'part', 'of', 'the', 'resonance', 'energies', 'is', 'obtained', 'from', 'configurationinteraction', 'calculations', 'performed', 'in', 'a', 'restricted', 'hilbert', 'space', 'while', 'the', 'imaginary', 'part', 'of', 'the', 'energies', 'the', 'widths', 'is', 'derived', 'from', 'complex', 'kohn', 'scattering', 'calculations', 'a', 'diabatization', 'is', 'performed', 'on', 'the', '2a1', 'and', '2b2', 'surfaces', 'due', 'to', 'the', 'presence', 'of', 'a', 'conical', 'intersection', 'between', 'them', 'we', 'discuss', 'the', 'implications', 'that', 'the', 'shapes', 'of', 'the', 'constructed', 'potentialenergy', 'surfaces', 'will', 'have', 'upon', 'the', 'nuclear', 'dynamics', 'of', 'dissociative', 'electron', 'attachment', 'to', 'h2o', 'this', 'work', 'originally', 'appeared', 'as', 'phys', 'rev', 'a', '75', '012710', '2007', 'typesetting', 'errors', 'in', 'the', 'published', 'version', 'have', 'been', 'corrected', 'here']] | [-0.08151712302761756, 0.09403238383543899, -0.056958357059805516, 0.055276051971527164, -0.005137892037951689, -0.09731847305427031, 0.027245793235320732, 0.36151179040802256, -0.1829984419972455, -0.25579004959628765, 0.0013722384284860153, -0.2773828089451618, -0.10693404606456379, 0.12212499461753173, 0.013469106475856129, 0.027168208304390633, 0.047071523984505544, -0.03133751366877084, -0.07771085188372343, -0.20865801375747905, 0.31041014607553535, 0.07930987429128383, 0.22188094614422044, 0.12631258199313025, 0.048703728240358526, 0.004578419309444457, 0.01610967350065065, -0.04982452295245703, -0.16616280065740965, 0.1473147035789971, 0.2150951227334013, 0.01660664459831155, 0.2049133768573189, -0.44525600530260756, -0.21713401061686244, 0.0661522094930837, 0.08493671061390702, 0.14146388035850505, -0.017096195338342488, -0.3101709658320216, -0.01705027855899212, -0.14675909455316208, -0.1645986238182958, -0.06993495042120917, 0.03940530434894047, 0.001260242967199695, -0.22114527145427443, 0.09376064323980977, 0.012376774604961598, 0.08243102237789283, -0.10677795382987092, -0.16599308093004733, -0.10967114894724578, 0.041859048038466476, 0.02295411868743672, 0.024109110541025297, 0.16436828018280028, -0.05725743345373558, -0.12151074474476439, 0.40990407551846486, -0.06945946097010479, -0.13700696637371568, 0.20322075434623324, -0.15323695224180495, -0.15471638859376954, 0.2139886450926981, 0.11536429468006325, 0.13242913271374196, -0.12116233423593448, 0.12773234717691948, -0.05834670893164526, 0.12551359297530124, 0.09425028402813905, -0.020107772516207302, 0.14572362108080708, 0.10549586777166604, -0.034203804788186395, 0.09838975225441265, -0.1582910618466315, -0.10024243771440262, -0.298697473253492, -0.18177100520232597, -0.18617501867291847, 0.0711990171061869, 0.006989870870547878, -0.14046712935690286, 0.4161532248517753, 0.050504709627452515, 0.2169348652551634, -0.025401972369927403, 0.24031707184161427, 0.0821950947053449, 0.05325328336573012, 0.04548336956784022, 0.27089728829752413, 0.18872424659299122, 0.08426012208588127, -0.2480841146571823, 0.04933973897261907, 0.08805435831263232] |
710.0009 | Bio-linguistic transition and Baldwin effect in an evolutionary
naming-game model | We examine an evolutionary naming-game model where communicating agents are
equipped with an evolutionarily selected learning ability. Such a coupling of
biological and linguistic ingredients results in an abrupt transition: upon a
small change of a model control parameter a poorly communicating group of
linguistically unskilled agents transforms into almost perfectly communicating
group with large learning abilities. When learning ability is kept fixed, the
transition appears to be continuous. Genetic imprinting of the learning
abilities proceeds via Baldwin effect: initially unskilled communicating agents
learn a language and that creates a niche in which there is an evolutionary
pressure for the increase of learning ability.Our model suggests that when
linguistic (or cultural) processes became intensive enough, a transition took
place where both linguistic performance and biological endowment of our species
experienced an abrupt change that perhaps triggered the rapid expansion of
human civilization.
| cs.CL cond-mat.stat-mech cs.AI physics.soc-ph q-bio.PE | we examine an evolutionary naminggame model where communicating agents are equipped with an evolutionarily selected learning ability such a coupling of biological and linguistic ingredients results in an abrupt transition upon a small change of a model control parameter a poorly communicating group of linguistically unskilled agents transforms into almost perfectly communicating group with large learning abilities when learning ability is kept fixed the transition appears to be continuous genetic imprinting of the learning abilities proceeds via baldwin effect initially unskilled communicating agents learn a language and that creates a niche in which there is an evolutionary pressure for the increase of learning abilityour model suggests that when linguistic or cultural processes became intensive enough a transition took place where both linguistic performance and biological endowment of our species experienced an abrupt change that perhaps triggered the rapid expansion of human civilization | [['we', 'examine', 'an', 'evolutionary', 'naminggame', 'model', 'where', 'communicating', 'agents', 'are', 'equipped', 'with', 'an', 'evolutionarily', 'selected', 'learning', 'ability', 'such', 'a', 'coupling', 'of', 'biological', 'and', 'linguistic', 'ingredients', 'results', 'in', 'an', 'abrupt', 'transition', 'upon', 'a', 'small', 'change', 'of', 'a', 'model', 'control', 'parameter', 'a', 'poorly', 'communicating', 'group', 'of', 'linguistically', 'unskilled', 'agents', 'transforms', 'into', 'almost', 'perfectly', 'communicating', 'group', 'with', 'large', 'learning', 'abilities', 'when', 'learning', 'ability', 'is', 'kept', 'fixed', 'the', 'transition', 'appears', 'to', 'be', 'continuous', 'genetic', 'imprinting', 'of', 'the', 'learning', 'abilities', 'proceeds', 'via', 'baldwin', 'effect', 'initially', 'unskilled', 'communicating', 'agents', 'learn', 'a', 'language', 'and', 'that', 'creates', 'a', 'niche', 'in', 'which', 'there', 'is', 'an', 'evolutionary', 'pressure', 'for', 'the', 'increase', 'of', 'learning', 'abilityour', 'model', 'suggests', 'that', 'when', 'linguistic', 'or', 'cultural', 'processes', 'became', 'intensive', 'enough', 'a', 'transition', 'took', 'place', 'where', 'both', 'linguistic', 'performance', 'and', 'biological', 'endowment', 'of', 'our', 'species', 'experienced', 'an', 'abrupt', 'change', 'that', 'perhaps', 'triggered', 'the', 'rapid', 'expansion', 'of', 'human', 'civilization']] | [-0.10270081643414285, 0.18683986646491185, -0.09038235506575022, 0.04548417225596495, -0.15802203522762284, -0.1923076258573149, 0.09891069742318775, 0.4260010311912213, -0.28973937762369, -0.2994735445328323, 0.026248883178258048, -0.25754292200519036, -0.19388858569020936, 0.1058138757944107, -0.11636154885470334, -0.040487271920678074, 0.0616152822904821, 0.07342902072040099, 0.036776411511735725, -0.24185536759240286, 0.28966691063168193, 0.04911492034859423, 0.2582207081872704, -0.03358467699061813, 0.14477775248565844, -0.017288638218971236, 0.007308658056094178, -0.0031871492309229715, -0.05406667426406264, 0.09358184775337577, 0.365147031531004, 0.18821057801667068, 0.3921204078410353, -0.44470307664347014, -0.20385015874968043, 0.13974684618380187, 0.14705288811819628, 0.08523419595439918, -0.07992895272244434, -0.32788659614993126, -0.012643632222898304, -0.19317411769713674, -0.054106542501332504, -0.06185167860042254, 0.0345605496816071, -0.006500280718734887, -0.2862993289641703, 0.005224243197881151, 0.08930328078900597, 0.12582915843730527, -0.07639793422671833, -0.05743065429851413, -0.01917763069172257, 0.19721626737861828, 0.06361798466532491, 0.04122688857023604, 0.2117083214289908, -0.16243481492357595, -0.136361758287863, 0.3653488419500978, -0.03283219311852008, -0.12781761578683343, 0.2593775299523259, -0.06504885069526999, -0.13563543370193137, 0.12963239579860653, 0.1870090814307332, 0.07947957994994274, -0.13207115834749336, 0.03424311416498053, 0.019673670332745783, 0.23244175866379269, 0.02591707584381636, -0.037283786682694754, 0.21602256624527008, 0.24252352863217572, 0.04424844620849139, 0.09220669517443249, 0.0024878889854465214, -0.17506521330880268, -0.1923092363152786, -0.13757325664960912, -0.16318300485477916, 0.03111241275577673, -0.11271494996170596, -0.1807661908891792, 0.317490249005745, 0.13882078316902544, 0.20908010293330465, 0.07015531380477893, 0.2814124641906736, 0.0454746028383462, 0.07553095354565552, 0.06986996010278484, 0.17498454296229674, 0.050271767051890494, 0.10782394186909576, -0.2176037118649609, 0.20278563264956964, -0.033563329556065065] |
710.001 | On algebraic time-derivative estimation and deadbeat state
reconstruction | This note places into perspective the so-called algebraic time-derivative
estimation method recently introduced by Fliess and co-authors with standard
results from linear state-space theory for control systems. In particular, it
is shown that the algebraic method can in a sense be seen as a special case of
deadbeat state estimation based on the reconstructibility Gramian of the
considered system.
| math.OC | this note places into perspective the socalled algebraic timederivative estimation method recently introduced by fliess and coauthors with standard results from linear statespace theory for control systems in particular it is shown that the algebraic method can in a sense be seen as a special case of deadbeat state estimation based on the reconstructibility gramian of the considered system | [['this', 'note', 'places', 'into', 'perspective', 'the', 'socalled', 'algebraic', 'timederivative', 'estimation', 'method', 'recently', 'introduced', 'by', 'fliess', 'and', 'coauthors', 'with', 'standard', 'results', 'from', 'linear', 'statespace', 'theory', 'for', 'control', 'systems', 'in', 'particular', 'it', 'is', 'shown', 'that', 'the', 'algebraic', 'method', 'can', 'in', 'a', 'sense', 'be', 'seen', 'as', 'a', 'special', 'case', 'of', 'deadbeat', 'state', 'estimation', 'based', 'on', 'the', 'reconstructibility', 'gramian', 'of', 'the', 'considered', 'system']] | [-0.08396878665100026, 0.018148676768513554, -0.11486277994463, 0.03336943931861828, -0.06394164358912888, -0.1578673076168713, 0.0010741478112384173, 0.2691807273017653, -0.29178106948985894, -0.2687648388683417, 0.14282015112023486, -0.20042135280367554, -0.2387431207728588, 0.24272683247039883, -0.14662849069651912, 0.10555150666100493, 0.059355124136653996, 0.07354618206825424, -0.07805274289211858, -0.25801391037717714, 0.33637350314628267, 0.04074003463768858, 0.27901612596302217, -0.015061704197235532, 0.1543394681855531, 0.05030208409732302, -0.029670591671335494, 0.07534861379950228, -0.09804614207579584, 0.12248069485175912, 0.29374386275471265, 0.12607509568649328, 0.2889519177250943, -0.3757060815311842, -0.2321403994998437, 0.08929631519683842, 0.14502817188721087, 0.09522384649805599, -0.02872899106222252, -0.3399138210649144, 0.05882836361336759, -0.2107295717183753, -0.10881240153685212, -0.062230354751128765, 0.009296151667328204, 0.0031811974121857497, -0.29436563965627704, 0.03231343049240314, 0.11147431766030268, 0.051904042519755285, -0.05423983784739749, -0.11025801010753454, -0.0001251676703913737, 0.04453075737929193, 0.025382246249907855, 0.010362989711180583, 0.06853964000987678, -0.05233408674455674, -0.1429273310626494, 0.37173407620324167, -0.05098063606074301, -0.2504225215732546, 0.13346671344223038, -0.07725017168164505, -0.15762167675341715, 0.056724486424650805, 0.18033624780601112, 0.1237350868818871, -0.15309885322605654, 0.1365706039330196, -0.08482958763143268, 0.1323501158474108, 0.018040288807982106, 0.032883106245485655, 0.11314226636442087, 0.1498265660060096, 0.1026238832559626, 0.1471659399951824, 0.0017306434219482086, -0.14349362696126355, -0.27348011543863787, -0.12795207497932143, -0.18661631864763922, 0.013655068905297982, -0.0431972557155443, -0.1538847818417214, 0.3719577461607375, 0.12038700103412493, 0.15205989939839407, 0.056397962537830915, 0.28977029185379083, 0.19462599729827085, 0.028191641778132673, 0.047198187394099214, 0.22534356518822202, 0.19753583145359435, 0.10582144710756207, -0.1697209946400786, 0.09393278199989917, 0.16219671691720516] |
710.0011 | Negative Refraction Requires Strong Inhomogeneity | The paper establishes explicit lower bounds for the lattice cell size of
periodic structures (metamaterials and photonic crystals) capable of supporting
backward waves and producing negative refraction. At optical frequencies, this
result implies strong inhomogeneity, in the sense that the cell size cannot be
negligible relative to the vacuum wavelength and the Bloch wavelength.
| physics.optics | the paper establishes explicit lower bounds for the lattice cell size of periodic structures metamaterials and photonic crystals capable of supporting backward waves and producing negative refraction at optical frequencies this result implies strong inhomogeneity in the sense that the cell size cannot be negligible relative to the vacuum wavelength and the bloch wavelength | [['the', 'paper', 'establishes', 'explicit', 'lower', 'bounds', 'for', 'the', 'lattice', 'cell', 'size', 'of', 'periodic', 'structures', 'metamaterials', 'and', 'photonic', 'crystals', 'capable', 'of', 'supporting', 'backward', 'waves', 'and', 'producing', 'negative', 'refraction', 'at', 'optical', 'frequencies', 'this', 'result', 'implies', 'strong', 'inhomogeneity', 'in', 'the', 'sense', 'that', 'the', 'cell', 'size', 'can', 'not', 'be', 'negligible', 'relative', 'to', 'the', 'vacuum', 'wavelength', 'and', 'the', 'bloch', 'wavelength']] | [-0.19222634566778488, 0.23341253240677443, -0.00589225823059678, 0.022591425518674605, -0.08938017854128372, -0.11747844979505648, 0.07196815061933276, 0.4146553941748359, -0.2416883419013836, -0.24378832297568973, 0.04750871482855556, -0.20870826587250288, -0.12482107728719712, 0.23501978519965303, -0.03854801587083123, 0.05036363246088678, 0.014748072929003021, -0.06877652831714262, 0.021284808408976955, -0.15332345818169416, 0.2724115533330901, 0.08763161744414405, 0.346608880026774, 0.10110121880742637, 0.08602355010807514, -0.018622995252636346, 0.015468881279230118, 0.011553904253312132, -0.14156638832500903, 0.12025223768908869, 0.25549505807628686, -0.01864608411084522, 0.21719911647960544, -0.4400126035409895, -0.22716452088207006, 0.09223391431468454, 0.15741554778915914, 0.17463262358003043, -0.04033471533859318, -0.22729639427059076, 0.08961198863319375, -0.04946853698188947, -0.22145651021802967, -0.002941359952092171, 0.015362044716973534, 0.010342538280581886, -0.24562810934572057, 0.052411900968714197, 0.10685941691745855, 0.04435233889486302, -0.08920306092636152, -0.08429151024161415, -0.041577267003330316, 0.07999289980666204, -0.002198391238396818, -0.03700651222501289, 0.08968377785587853, -0.08394671187058768, -0.08778757752892985, 0.3841360176490112, -0.08370708166198297, -0.1659572002477944, 0.15046376188031652, -0.21160111718557098, 0.0176700945943594, 0.21633998162367127, 0.171704595326446, 0.05015869679098779, -0.03953545212068341, 0.05838544962779534, -0.04522620409049771, 0.250190313547765, 0.22414361323145301, 0.15865366521545432, 0.22144618264653465, 0.11490686753426085, 0.0920174135572531, 0.11003540142820302, -0.07405901529233563, -0.01035705680366267, -0.29781646037643605, -0.16507174116982656, -0.19728921452029186, 0.031475038593899544, -0.1565953500052935, -0.2293284550796009, 0.3694104526445947, 0.0931005818430673, 0.13120882097970354, 0.0723909642547369, 0.25853643606162885, 0.12487578898329627, 0.09082757725634358, 0.04872161834752081, 0.3084154158534313, 0.15027935775420206, 0.13918485715138643, -0.2624151933430271, 0.03785884398967028, 0.04875871811739423] |
710.0012 | The Segal-Bargmann transform for compact quotients of symmetric spaces
of the complex type | Let G/K be a Riemannian symmetric space of the complex type, meaning that G
is complex semisimple and K is a compact real form. Now let {\Gamma} be a
discrete subgroup of G that acts freely and cocompactly on G/K. We consider the
Segal--Bargmann transform, defined in terms of the heat equation, on the
compact quotient {\Gamma}\G/K. We obtain isometry and inversion formulas
precisely parallel to the results we obtained previously for globally symmetric
spaces of the complex type. Our results are as parallel as possible to the
results one has in the dual compact case. Since there is no known Gutzmer
formula in this setting, our proofs make use of double coset integrals and a
holomorphic change of variable.
| math-ph math.MP math.RT | let gk be a riemannian symmetric space of the complex type meaning that g is complex semisimple and k is a compact real form now let gamma be a discrete subgroup of g that acts freely and cocompactly on gk we consider the segalbargmann transform defined in terms of the heat equation on the compact quotient gammagk we obtain isometry and inversion formulas precisely parallel to the results we obtained previously for globally symmetric spaces of the complex type our results are as parallel as possible to the results one has in the dual compact case since there is no known gutzmer formula in this setting our proofs make use of double coset integrals and a holomorphic change of variable | [['let', 'gk', 'be', 'a', 'riemannian', 'symmetric', 'space', 'of', 'the', 'complex', 'type', 'meaning', 'that', 'g', 'is', 'complex', 'semisimple', 'and', 'k', 'is', 'a', 'compact', 'real', 'form', 'now', 'let', 'gamma', 'be', 'a', 'discrete', 'subgroup', 'of', 'g', 'that', 'acts', 'freely', 'and', 'cocompactly', 'on', 'gk', 'we', 'consider', 'the', 'segalbargmann', 'transform', 'defined', 'in', 'terms', 'of', 'the', 'heat', 'equation', 'on', 'the', 'compact', 'quotient', 'gammagk', 'we', 'obtain', 'isometry', 'and', 'inversion', 'formulas', 'precisely', 'parallel', 'to', 'the', 'results', 'we', 'obtained', 'previously', 'for', 'globally', 'symmetric', 'spaces', 'of', 'the', 'complex', 'type', 'our', 'results', 'are', 'as', 'parallel', 'as', 'possible', 'to', 'the', 'results', 'one', 'has', 'in', 'the', 'dual', 'compact', 'case', 'since', 'there', 'is', 'no', 'known', 'gutzmer', 'formula', 'in', 'this', 'setting', 'our', 'proofs', 'make', 'use', 'of', 'double', 'coset', 'integrals', 'and', 'a', 'holomorphic', 'change', 'of', 'variable']] | [-0.13829236858577656, 0.09378389916698432, -0.09107626703078464, 0.05878746807298986, -0.1820590338606577, -0.12572705240572912, 0.01415182685901774, 0.395254240513353, -0.2661921174060238, -0.2038184610211243, 0.13505047004594925, -0.2419407567151396, -0.1553788761809563, 0.2658652994758055, -0.09650956276916184, -0.05943666388462219, 0.05508668068870389, 0.1323996214866954, -0.11184813590154004, -0.24819685504732306, 0.375526494247902, -0.05757547905708079, 0.2045025070024244, 0.009810777917756872, 0.0988370164029174, 0.002058562814747378, -0.029972179015403836, -0.021690976824976456, -0.11838089809341107, 0.09534458678326238, 0.2877871137254445, 0.07335634479078196, 0.18936725622595493, -0.3662148979985771, -0.20553752124877805, 0.20410070100392735, 0.13476381873538307, -0.02788216007234118, -0.03506052647362132, -0.2851804926087764, 0.09763738932679959, -0.12401203010073406, -0.16473353461567627, -0.08865635578473241, 0.0767653300505826, -0.013985003463103104, -0.2638388618084965, 0.012859228094724022, 0.10317584185592704, 0.031775761750858215, -0.06328431316019999, -0.09517963963039851, -0.04354202433615544, 0.09931566778538843, -0.030039203222012305, 0.0976769933615164, 0.07635265758055877, -0.029072182164211775, -0.11060803913574477, 0.40608413034450197, -0.08619615072640985, -0.28956802945457777, 0.14173736881022736, -0.1715448833962555, -0.15922157894583197, 0.09312126616615865, 0.12951427590007247, 0.19772649219385902, -0.060629883402232396, 0.19598279852948894, -0.12588213726294117, 0.08326712449528159, 0.05995715249692863, -0.006026991663729551, 0.1084480487141695, 0.10381472149471184, 0.07554239595024767, 0.15642005473896228, 0.002359784475598737, -0.048525071681192994, -0.35997678006415146, -0.21714091779253744, -0.16720186155368338, 0.14276452827014788, -0.11698425929772399, -0.1907180924742025, 0.35066636479104535, 0.008341872938356157, 0.1619331479187013, 0.07858912064496554, 0.23159750548617566, 0.121499456321205, 0.07958515228356346, 0.10031377723819371, 0.11379554973504806, 0.21847918122154425, -0.0014040764456741133, -0.14748389677882542, -0.017961994350209076, 0.1391469408063439] |
710.0013 | Lagrangian Relaxation for MAP Estimation in Graphical Models | We develop a general framework for MAP estimation in discrete and Gaussian
graphical models using Lagrangian relaxation techniques. The key idea is to
reformulate an intractable estimation problem as one defined on a more
tractable graph, but subject to additional constraints. Relaxing these
constraints gives a tractable dual problem, one defined by a thin graph, which
is then optimized by an iterative procedure. When this iterative optimization
leads to a consistent estimate, one which also satisfies the constraints, then
it corresponds to an optimal MAP estimate of the original model. Otherwise
there is a ``duality gap'', and we obtain a bound on the optimal solution.
Thus, our approach combines convex optimization with dynamic programming
techniques applicable for thin graphs. The popular tree-reweighted max-product
(TRMP) method may be seen as solving a particular class of such relaxations,
where the intractable graph is relaxed to a set of spanning trees. We also
consider relaxations to a set of small induced subgraphs, thin subgraphs (e.g.
loops), and a connected tree obtained by ``unwinding'' cycles. In addition, we
propose a new class of multiscale relaxations that introduce ``summary''
variables. The potential benefits of such generalizations include: reducing or
eliminating the ``duality gap'' in hard problems, reducing the number or
Lagrange multipliers in the dual problem, and accelerating convergence of the
iterative optimization procedure.
| cs.AI | we develop a general framework for map estimation in discrete and gaussian graphical models using lagrangian relaxation techniques the key idea is to reformulate an intractable estimation problem as one defined on a more tractable graph but subject to additional constraints relaxing these constraints gives a tractable dual problem one defined by a thin graph which is then optimized by an iterative procedure when this iterative optimization leads to a consistent estimate one which also satisfies the constraints then it corresponds to an optimal map estimate of the original model otherwise there is a duality gap and we obtain a bound on the optimal solution thus our approach combines convex optimization with dynamic programming techniques applicable for thin graphs the popular treereweighted maxproduct trmp method may be seen as solving a particular class of such relaxations where the intractable graph is relaxed to a set of spanning trees we also consider relaxations to a set of small induced subgraphs thin subgraphs eg loops and a connected tree obtained by unwinding cycles in addition we propose a new class of multiscale relaxations that introduce summary variables the potential benefits of such generalizations include reducing or eliminating the duality gap in hard problems reducing the number or lagrange multipliers in the dual problem and accelerating convergence of the iterative optimization procedure | [['we', 'develop', 'a', 'general', 'framework', 'for', 'map', 'estimation', 'in', 'discrete', 'and', 'gaussian', 'graphical', 'models', 'using', 'lagrangian', 'relaxation', 'techniques', 'the', 'key', 'idea', 'is', 'to', 'reformulate', 'an', 'intractable', 'estimation', 'problem', 'as', 'one', 'defined', 'on', 'a', 'more', 'tractable', 'graph', 'but', 'subject', 'to', 'additional', 'constraints', 'relaxing', 'these', 'constraints', 'gives', 'a', 'tractable', 'dual', 'problem', 'one', 'defined', 'by', 'a', 'thin', 'graph', 'which', 'is', 'then', 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710.0014 | Using evolutionary algorithms to extract field theory mass spectra | The spectrum of masses from a lattice QCD simulation may be found by fitting
exponential functions to correlators of operators possessing the quantum
numbers of the particles of interest. The ability of evolutionary algorithms to
find globally optimized solutions containing a variable number of states across
multiple data sets is exploited to provide a promising solution to the problem
of finding these fits.
| hep-lat | the spectrum of masses from a lattice qcd simulation may be found by fitting exponential functions to correlators of operators possessing the quantum numbers of the particles of interest the ability of evolutionary algorithms to find globally optimized solutions containing a variable number of states across multiple data sets is exploited to provide a promising solution to the problem of finding these fits | [['the', 'spectrum', 'of', 'masses', 'from', 'a', 'lattice', 'qcd', 'simulation', 'may', 'be', 'found', 'by', 'fitting', 'exponential', 'functions', 'to', 'correlators', 'of', 'operators', 'possessing', 'the', 'quantum', 'numbers', 'of', 'the', 'particles', 'of', 'interest', 'the', 'ability', 'of', 'evolutionary', 'algorithms', 'to', 'find', 'globally', 'optimized', 'solutions', 'containing', 'a', 'variable', 'number', 'of', 'states', 'across', 'multiple', 'data', 'sets', 'is', 'exploited', 'to', 'provide', 'a', 'promising', 'solution', 'to', 'the', 'problem', 'of', 'finding', 'these', 'fits']] | [-0.13040316433069252, 0.10103213713164368, -0.13039917383520377, 0.06527601344795483, -0.03884274820752796, -0.10984501218245853, 0.06401525744946585, 0.33933391670386, -0.2590680993531668, -0.33101851595861337, 0.09494424583242526, -0.27942382180619807, -0.07634342373127029, 0.20470732939799155, 0.01759028969894326, 0.13645116695099407, 0.07356575224548578, 0.015919632378629305, -0.052448284442699146, -0.2370218767947148, 0.29868025284644867, 0.01003167511976605, 0.24269620045309975, 0.009814074129930564, 0.06328637750324098, -0.05215092459397893, -0.025027277495061593, 0.025692932899036104, -0.10151064025962518, 0.15834840859511926, 0.2807170114524308, 0.14792237484768506, 0.23312035483855104, -0.38366844353177365, -0.2055710225942589, 0.14967450679146818, 0.18387157730166875, 0.12299213344268205, -0.05468059861884704, -0.247888615295764, 0.07466769044745773, -0.12521395580621347, -0.1796898947555631, -0.10876882961759018, -0.018212005695594207, 0.04807893389333335, -0.33593942745337413, 0.05741782881881273, -0.049583031019816794, -0.027349654045547286, -0.07497053924534056, -0.1330976928658192, -0.042094578456488396, 0.11950711910391137, 0.05869904927362407, 0.015351464683633475, 0.088961195880695, -0.14008284879050084, -0.1677761844337164, 0.397368779332037, -0.022773263473359364, -0.2211797158012078, 0.17902982218693647, -0.11388928541499707, -0.11210143396128265, 0.16357862866587108, 0.17606039906275414, 0.12918972992707814, -0.16722020957737216, 0.06679216961538981, -0.04304702250316503, 0.17349152417764777, 0.030845504061925034, 0.07204094827766457, 0.267565376140059, 0.11561890768389853, 0.05011548199469135, 0.16537740459806094, -0.03537387297015696, -0.1280245291778729, -0.26766563587663106, -0.09192481631087879, -0.1994551906051735, 0.0692108619721636, -0.12007618393926393, -0.21890566051597632, 0.42881204479093116, 0.12918926808162637, 0.21415436470378485, 0.06679026105779312, 0.23840273833937115, 0.09646462229272676, 0.11295062341978626, 0.06042106598022021, 0.191517357851216, 0.14323496763845758, 0.08849174417703161, -0.21649495253915943, 0.01966232155627083, 0.05835820039704678] |
710.0015 | Using Chemistry to Unveil the Kinematics of Starless Cores: Complex
Radial Motions in Barnard 68 | We present observations of 13CO, C18O, HCO+, H13CO+, DCO+ and N2H+ line
emission towards the Barnard 68 starless core. The line profiles are
interpreted using a chemical network coupled with a radiative transfer code in
order to reconstruct the radial velocity profile of the core. Our observations
and modeling indicate the presence of complex radial motions, with the inward
motions in the outer layers of the core but outward motions in the inner part,
suggesting radial oscillations. The presence of such oscillation would imply
that B68 is relatively old, typically one order of magnitude older than the age
inferred from its chemical evolution and statistical core lifetimes. Our study
demonstrates that chemistry can be used as a tool to constrain the radial
velocity profiles of starless cores.
| astro-ph | we present observations of 13co c18o hco h13co dco and n2h line emission towards the barnard 68 starless core the line profiles are interpreted using a chemical network coupled with a radiative transfer code in order to reconstruct the radial velocity profile of the core our observations and modeling indicate the presence of complex radial motions with the inward motions in the outer layers of the core but outward motions in the inner part suggesting radial oscillations the presence of such oscillation would imply that b68 is relatively old typically one order of magnitude older than the age inferred from its chemical evolution and statistical core lifetimes our study demonstrates that chemistry can be used as a tool to constrain the radial velocity profiles of starless cores | [['we', 'present', 'observations', 'of', '13co', 'c18o', 'hco', 'h13co', 'dco', 'and', 'n2h', 'line', 'emission', 'towards', 'the', 'barnard', '68', 'starless', 'core', 'the', 'line', 'profiles', 'are', 'interpreted', 'using', 'a', 'chemical', 'network', 'coupled', 'with', 'a', 'radiative', 'transfer', 'code', 'in', 'order', 'to', 'reconstruct', 'the', 'radial', 'velocity', 'profile', 'of', 'the', 'core', 'our', 'observations', 'and', 'modeling', 'indicate', 'the', 'presence', 'of', 'complex', 'radial', 'motions', 'with', 'the', 'inward', 'motions', 'in', 'the', 'outer', 'layers', 'of', 'the', 'core', 'but', 'outward', 'motions', 'in', 'the', 'inner', 'part', 'suggesting', 'radial', 'oscillations', 'the', 'presence', 'of', 'such', 'oscillation', 'would', 'imply', 'that', 'b68', 'is', 'relatively', 'old', 'typically', 'one', 'order', 'of', 'magnitude', 'older', 'than', 'the', 'age', 'inferred', 'from', 'its', 'chemical', 'evolution', 'and', 'statistical', 'core', 'lifetimes', 'our', 'study', 'demonstrates', 'that', 'chemistry', 'can', 'be', 'used', 'as', 'a', 'tool', 'to', 'constrain', 'the', 'radial', 'velocity', 'profiles', 'of', 'starless', 'cores']] | [-0.06284554245493074, 0.08242128563927502, -0.045035839630804195, 0.030401025280011745, -0.06893604175429645, -0.03669276275474021, 0.015462875382710748, 0.4233491478082687, -0.20677698972656972, -0.3352917072905858, 0.06954245431821676, -0.21376520161806628, -0.015223753154571132, 0.12606413253238352, 0.042568585040241066, -0.02386507260710309, 0.11276895452774768, -0.0837407398558273, -0.0236851218088684, -0.14031859988889356, 0.2987625857771147, 0.061379966175726317, 0.1313395328640087, 0.0059195559574511105, -0.008559801084114107, -0.2118541679425737, -0.09185295563015178, -0.0008321661276625484, -0.13553277685790044, 0.11466832147309865, 0.2114775147138706, 0.1273935680226313, 0.20115817490759796, -0.42146604200165105, -0.27694131667527744, 0.048716627462060326, 0.2339800997622546, 0.08483427457922087, 0.0004813861556527183, -0.3137323191668105, 0.032631914273195894, -0.15999274058304142, -0.22236001075018108, 0.022404674055626777, 0.08517003875577778, 0.04234624111944237, -0.21636161126020387, 0.1902783336466193, 0.014869470364692819, 0.10679118973789663, -0.13802332174689252, -0.1770716038290558, -0.1159736858790843, 0.08815001351685506, -0.016167982057924933, 0.06342898923207045, 0.25334515989076084, -0.09365255687217133, -0.024605194121364533, 0.406759625594095, -0.14524681667311898, -0.0664825083790567, 0.2543124855517989, -0.20291890812245764, -0.17246357179210176, 0.1675820295500943, 0.11962725623239448, 0.0890465254096065, -0.08034136903098249, -0.06027414363132438, -0.029996170801675225, 0.24884205915796476, 0.0800039998226337, -0.009871903964589665, 0.3340839362431934, 0.08318314341989559, 0.05573240642648513, 0.11468353967446335, -0.26076620395889316, -0.117238942313734, -0.22325567988766812, -0.1583711964602575, -0.10430548953875078, 0.05355676840330789, -0.11003470159372715, -0.12985143623146134, 0.3227178025899059, 0.12375217239834427, 0.23079395385855062, 0.03558791353638599, 0.32287365077136776, 0.06789690518007416, 0.145295747354128, 0.18001787540297515, 0.26640159428471655, 0.24077838355323344, 0.1645774774731863, -0.2911389608900466, 0.11979279528173992, -0.016317589157150956] |
710.0016 | Fluid turbulence and eddy viscosity in relativistic heavy-ion collisions | The eddy viscosity for a turbulent compressible fluid with a relativistic
equation of state is derived. Compressibility allows for sound modes, but the
eddy viscosity in the shear mode is found to be the same as for incompressible
fluids. For two space dimensions (which is the relevant case for the dynamics
of relativistic heavy-ion collisions) the eddy viscosity in the shear mode is
negative, reducing the effective viscosity below its microscopic value. This
could explain the tiny viscosity found at RHIC. Implications for the
experimentally accessible elliptic flow coefficient at the LHC are speculated
on.
| nucl-th hep-ph nucl-ex physics.flu-dyn | the eddy viscosity for a turbulent compressible fluid with a relativistic equation of state is derived compressibility allows for sound modes but the eddy viscosity in the shear mode is found to be the same as for incompressible fluids for two space dimensions which is the relevant case for the dynamics of relativistic heavyion collisions the eddy viscosity in the shear mode is negative reducing the effective viscosity below its microscopic value this could explain the tiny viscosity found at rhic implications for the experimentally accessible elliptic flow coefficient at the lhc are speculated on | [['the', 'eddy', 'viscosity', 'for', 'a', 'turbulent', 'compressible', 'fluid', 'with', 'a', 'relativistic', 'equation', 'of', 'state', 'is', 'derived', 'compressibility', 'allows', 'for', 'sound', 'modes', 'but', 'the', 'eddy', 'viscosity', 'in', 'the', 'shear', 'mode', 'is', 'found', 'to', 'be', 'the', 'same', 'as', 'for', 'incompressible', 'fluids', 'for', 'two', 'space', 'dimensions', 'which', 'is', 'the', 'relevant', 'case', 'for', 'the', 'dynamics', 'of', 'relativistic', 'heavyion', 'collisions', 'the', 'eddy', 'viscosity', 'in', 'the', 'shear', 'mode', 'is', 'negative', 'reducing', 'the', 'effective', 'viscosity', 'below', 'its', 'microscopic', 'value', 'this', 'could', 'explain', 'the', 'tiny', 'viscosity', 'found', 'at', 'rhic', 'implications', 'for', 'the', 'experimentally', 'accessible', 'elliptic', 'flow', 'coefficient', 'at', 'the', 'lhc', 'are', 'speculated', 'on']] | [-0.15906424262364835, 0.2527056498354987, -0.13982707527711202, 0.06092611447246255, -0.07529277818179445, -0.10407618630775496, -0.11440015224445807, 0.22142956994081797, -0.2929676868021488, -0.2368759169586395, 0.0732472218597602, -0.2646120536020087, 0.006096750948774187, 0.206201401294062, 0.04606262459909837, 0.10936809321313998, 0.04549800610341328, 0.014927181052534204, 0.0022700656009347815, -0.16366971784124248, 0.3047421870949237, 0.07810587665360225, 0.28792989355217863, 0.12212648170166894, 0.11116191789900001, -0.09915537230523401, -0.00462794351930681, 0.10414179424773656, -0.20406838006150027, 0.0015326742453525136, 0.2908707958155949, -0.07332658932887409, 0.214197876272527, -0.40640278091948284, -0.2707944649614786, 0.032157736948054086, 0.14396243462044941, 0.1588166935259084, -0.00030868907802199063, -0.19941091545073217, 0.07427676380366871, -0.18250311717734133, -0.1512651474950345, -0.08699299433072538, 0.08897353383271318, -0.041633110664980974, -0.30253884306079465, 0.21427637725474166, -0.006112914588792544, 0.055351936287785834, -0.11206542105891888, -0.14130144382974036, -0.0674266112184054, 0.03912880637339856, 0.12415733065358119, 0.007413040704436992, 0.17527374710985705, -0.23686970207521593, -0.025234853339038396, 0.43463564068078997, -0.0667896595048277, -0.2420920595918831, 0.22396477804715303, -0.17310048048629573, -0.04563506676962501, 0.17663488349583195, 0.18903024661305703, 0.0891623440884838, -0.10996895865904853, 0.03649789928703716, -0.06308212070848401, 0.14033275142704185, 0.06553595770444524, -0.047590933127426786, 0.22898744607442303, 0.20116676496047722, 0.05872140877242935, 0.10548775865034642, -0.10415488224917728, -0.061820310354232785, -0.34699806586692206, -0.1835237854993657, -0.18385038512795673, 0.02939793520460003, -0.09933169102786403, -0.13108967150880121, 0.33848793488486034, 0.12245574574917555, 0.15964663803920542, 0.043713435659332105, 0.2958279348370668, 0.14145115929729257, 0.010518104617336863, 0.14793350362267935, 0.3699083013656108, 0.1635819730692004, 0.23459411875687933, -0.3248257063525288, 0.0921036893011708, 0.11908073846348806] |
710.0017 | Improvement of the pion spectrum with HYP-smeared staggered fermions | We extend our previous study of taste-symmetry breaking using HYP-smeared
staggered fermions in two ways. First, we improve the statistics of a
comparison of unimproved and HYP-smeared staggered fermions on quenched
lattices with $a\approx 0.1 $fm. This allows us to obtain a signal for all pion
tastes, rather than just a subset, and thus to make a complete comparison. In
addition, it allows us to differentiate between wall and local sources. Second,
we compare HYP-smeared valence quarks to asqtad valence quarks on 2+1 flavor
unquenched MILC lattices. We find that taste breaking is substantially reduced
by HYP-smearing, bringing the size of this discretization effect (which is the
dominant such effect with staggered fermions) down to the size expected
generically for any fermion type.
| hep-lat | we extend our previous study of tastesymmetry breaking using hypsmeared staggered fermions in two ways first we improve the statistics of a comparison of unimproved and hypsmeared staggered fermions on quenched lattices with aapprox 01 fm this allows us to obtain a signal for all pion tastes rather than just a subset and thus to make a complete comparison in addition it allows us to differentiate between wall and local sources second we compare hypsmeared valence quarks to asqtad valence quarks on 21 flavor unquenched milc lattices we find that taste breaking is substantially reduced by hypsmearing bringing the size of this discretization effect which is the dominant such effect with staggered fermions down to the size expected generically for any fermion type | [['we', 'extend', 'our', 'previous', 'study', 'of', 'tastesymmetry', 'breaking', 'using', 'hypsmeared', 'staggered', 'fermions', 'in', 'two', 'ways', 'first', 'we', 'improve', 'the', 'statistics', 'of', 'a', 'comparison', 'of', 'unimproved', 'and', 'hypsmeared', 'staggered', 'fermions', 'on', 'quenched', 'lattices', 'with', 'aapprox', '01', 'fm', 'this', 'allows', 'us', 'to', 'obtain', 'a', 'signal', 'for', 'all', 'pion', 'tastes', 'rather', 'than', 'just', 'a', 'subset', 'and', 'thus', 'to', 'make', 'a', 'complete', 'comparison', 'in', 'addition', 'it', 'allows', 'us', 'to', 'differentiate', 'between', 'wall', 'and', 'local', 'sources', 'second', 'we', 'compare', 'hypsmeared', 'valence', 'quarks', 'to', 'asqtad', 'valence', 'quarks', 'on', '21', 'flavor', 'unquenched', 'milc', 'lattices', 'we', 'find', 'that', 'taste', 'breaking', 'is', 'substantially', 'reduced', 'by', 'hypsmearing', 'bringing', 'the', 'size', 'of', 'this', 'discretization', 'effect', 'which', 'is', 'the', 'dominant', 'such', 'effect', 'with', 'staggered', 'fermions', 'down', 'to', 'the', 'size', 'expected', 'generically', 'for', 'any', 'fermion', 'type']] | [-0.05725670466962896, 0.2785011998026586, -0.0884898155049772, 0.0910630452209992, -0.08637477555999258, -0.11227292530085953, 0.165519038327878, 0.40996113948554536, -0.14374087769614502, -0.28620342514286823, 0.02516085983704409, -0.308238113764912, -0.047116557739247555, 0.07569147091068816, 0.021394992953349578, 0.018176707729208666, 0.06537452881361862, -0.021952763627298543, -0.16719537004484933, -0.2744334716059756, 0.317146935519289, -0.028945171359170716, 0.2690105962750242, 0.13304609767558268, -0.012306256792279051, 0.02086529288475295, -0.048773948332203214, -0.0449885762684032, -0.0910956533037085, 0.10686336909077268, 0.10714885815939881, -0.05717354247606069, 0.13998013489772795, -0.38847845104202383, -0.192387849111568, 0.09416339981782854, 0.14691718253994085, 0.16032313599277928, 0.010487843205633222, -0.2994016505296907, 0.10179630716209162, -0.20320155899628203, -0.17274429944160655, -0.13848085510620817, -0.0532649021832364, -0.07385290528029265, -0.3626541842317178, 0.04641541935690511, 0.00419651916380361, 0.09066995936751243, 0.02190864110483834, -0.21778104478707078, -0.04151415139184807, 0.12531455032924405, 0.07142452151346647, 0.09015237357368173, 0.06408483592686473, -0.11713881742163393, -0.16163493609475735, 0.4753002696594254, -0.08570927783780537, -0.21047368210732753, 0.19818424564007608, -0.1553644912172353, -0.13950860460162864, 0.08438621155276406, 0.17982314027474666, 0.07617484487127513, -0.14139132897110016, 0.06668314549806681, -0.08162479266928906, 0.2524655920836968, 0.09573822340653201, 0.029033320295609167, 0.19995375846314137, 0.1704096084720165, 0.07061759951203818, 0.1216594918638651, -0.034515799763688786, -0.12980352186017716, -0.24457134252994275, -0.10934941985522259, -0.15628713671763075, 0.09979993356849814, -0.11487296292690473, -0.13857818964905044, 0.4206795111130618, 0.2073336465734622, 0.1634364248879376, 0.040894076591701106, 0.23927436942486552, 0.0402531900312408, 0.12703855925804522, 0.0550123798550244, 0.19895219020011118, 0.13295267122133528, 0.10355600016954981, -0.2870563485024623, -0.1274620312701178, 0.1356619641978721] |
710.0018 | Comment on "Critique of the foundations of time-dependent density
functional theory" [Phys. Rev.A. 75, 022513 (2007)] | A recent paper (Phys. Rev A. 75, 022513 (2007), arXiv:cond-mat/0602020)
challenges exact time-dependent density functional theory (TDDFT) on several
grounds. We explain why these criticisms are either irrelevant or incorrect,
and that TDDFT is both formally exact and predictive.
| cond-mat.other | a recent paper phys rev a 75 022513 2007 arxivcondmat0602020 challenges exact timedependent density functional theory tddft on several grounds we explain why these criticisms are either irrelevant or incorrect and that tddft is both formally exact and predictive | [['a', 'recent', 'paper', 'phys', 'rev', 'a', '75', '022513', '2007', 'arxivcondmat0602020', 'challenges', 'exact', 'timedependent', 'density', 'functional', 'theory', 'tddft', 'on', 'several', 'grounds', 'we', 'explain', 'why', 'these', 'criticisms', 'are', 'either', 'irrelevant', 'or', 'incorrect', 'and', 'that', 'tddft', 'is', 'both', 'formally', 'exact', 'and', 'predictive']] | [-0.04258684410811647, 0.0030620929687038847, -0.09743231485940908, 0.10619188124914408, -0.08867300434136077, -0.1663205492261209, 0.10950740102041316, 0.3619055696763098, -0.113335157671061, -0.3234438700111289, 0.02448630214272079, -0.34865761283589036, -0.27758323752296793, 0.11557432175246313, -0.16380273028105302, 0.09882523430707424, 0.04898007487951729, -0.07489488332679398, -0.07053377699278492, -0.28622083111028923, 0.15197155665067075, 0.07902075796339073, 0.29085195635592465, 0.10799302909474232, 0.01710384014356685, 0.005011568287093388, -0.04070599873452202, 0.054698035598879584, -0.16399090750067108, 0.13291735044913366, 0.2710711402132323, 0.09233584351788618, 0.3575024299176508, -0.5638565636779133, -0.24319123437530116, 0.01275709626804057, 0.04220412920327171, 0.18827651417814195, 0.009680735189345126, -0.31773967957614285, 0.057680321642883906, -0.2712025669844527, -0.13883377194992805, -0.20900783663321482, 0.158504517552884, -0.005142908567856801, -0.22668681728751644, 0.21662565877072906, 0.016253011766821146, 0.04499331619100351, -0.04321842534639137, -0.12211418460662428, 0.055449016159400344, -0.07076929087481021, 0.06574767119079632, 0.08443483769109375, 0.14582935839548314, -0.024277442502544114, -0.10624667556074105, 0.2844940680324247, -0.02536051431180615, -0.17003352910672365, 0.26559868376506, -0.03628604562560979, -0.19901087408346174, 0.050295137408140456, 0.05170645997369368, 0.14082112599556385, -0.19000729919705345, 0.17103353911998534, -0.0513384352395262, 0.16519736170180535, 0.07652818422617488, -0.002293104293609136, 0.1812287075445056, 0.022817888677022176, -0.09678775705642213, -0.09213296681838601, -0.009205274179724878, -0.14462017443790837, -0.32977779199810403, -0.10019553858958381, -0.16931639599466794, 0.09469473540880963, 0.06379933179873899, -0.16606770700922138, 0.37452233597440154, 0.24365700859772532, 0.18046729840142162, 0.030027346293392935, 0.26115988661829187, 0.14978273526618355, -0.1378261645961749, 0.1497463521572124, 0.23411033008443682, 0.1626697034624062, 0.05005269165542957, -0.205679275156734, 0.02014577730963203, 0.045268687915890234] |
710.0019 | The Glue Content of the Pion | We perform a quenched computation of the glue momentum fraction in the pion.
Different discretizations of the gluonic energy-momentum tensor are studied on
the lattice for that purpose. We discuss some implications based on the
momentum sum rule. Finally we point out promising applications of the
techniques developed here.
| hep-lat | we perform a quenched computation of the glue momentum fraction in the pion different discretizations of the gluonic energymomentum tensor are studied on the lattice for that purpose we discuss some implications based on the momentum sum rule finally we point out promising applications of the techniques developed here | [['we', 'perform', 'a', 'quenched', 'computation', 'of', 'the', 'glue', 'momentum', 'fraction', 'in', 'the', 'pion', 'different', 'discretizations', 'of', 'the', 'gluonic', 'energymomentum', 'tensor', 'are', 'studied', 'on', 'the', 'lattice', 'for', 'that', 'purpose', 'we', 'discuss', 'some', 'implications', 'based', 'on', 'the', 'momentum', 'sum', 'rule', 'finally', 'we', 'point', 'out', 'promising', 'applications', 'of', 'the', 'techniques', 'developed', 'here']] | [-0.12883775510198, 0.1553300323572998, -0.11757819780281611, 0.09366980925254638, -0.06763748351332484, -0.034583518652207386, 0.08240881284736858, 0.406320544225829, -0.1896173495571224, -0.16958445778154596, 0.0723311986788461, -0.24210117405698617, -0.13437536085138516, 0.16217388444561132, 0.05490711832725519, 0.09032816354337396, 0.04211324033308394, 0.011801836888628955, -0.13841669470052786, -0.24346922320902956, 0.3923044817484155, 0.03863923588995727, 0.3025052686107858, 0.1600247999387128, 0.10131260790691084, 0.03844673896911649, -0.1213563752493688, 0.009140326774546079, -0.16238463014837626, 0.08323498419010822, 0.1892216882231284, 0.052962816016254376, 0.2237760760460277, -0.4169197920139651, -0.16072207655073428, 0.09648657474210676, 0.12408376143941162, 0.11480196477959351, -0.05949001678037552, -0.19756851231261174, 0.0966585960562284, -0.22546732326855465, -0.16052968668922477, -0.16916609023298537, -0.020922253226709306, 0.02030834136530757, -0.21383393272681503, 0.05459661063339029, 0.0020595417139405497, 0.034354924186303905, -0.0716829082538963, -0.24836983413397506, 0.003286531746235429, 0.1048650827772003, 0.06816294713050355, -0.008111280123037952, 0.1367885015277686, -0.1459366233867346, -0.13647404057924084, 0.4196358875048404, -0.04540164248509409, -0.2539107931815848, 0.14233637626796047, -0.10410271671942758, -0.19699994260825368, 0.053732642409752826, 0.18116418368240095, 0.16093660921466593, -0.15217543013241827, 0.06336127328021186, -0.05358001660099443, 0.11111338231629427, 0.056190880291087895, 0.07756042947080366, 0.24009906196472597, 0.16813328970527772, 0.011915664198067116, 0.16381720818427145, -0.09311707947897363, -0.1618395177077274, -0.35651978747729135, -0.15949938803607103, -0.2100715892655509, 0.0862334576264328, -0.0815919756946363, -0.10895639193263285, 0.3530838874985977, 0.1982511495506125, 0.1880740617907948, 0.022641151497254566, 0.3157063924080255, 0.08495101913078022, 0.09913335481126394, 0.07136286890172229, 0.24287094450520105, 0.17873102502555263, 0.15043495303466536, -0.25551873949898063, -0.06928056243769064, 0.12808542293306363] |
710.002 | A Probability Model for Lifetime of Wireless Sensor Networks | Considering a wireless sensor network whose nodes are distributed randomly
over a given area, a probability model for the network lifetime is provided.
Using this model and assuming that packet generation follows a Poisson
distribution, an analytical expression for the complementary cumulative density
function (ccdf) of the lifetime is obtained. Using this ccdf, one can
accurately find the probability that the network achieves a given lifetime. It
is also shown that when the number of sensors, $N$, is large, with an error
exponentially decaying with $N$, one can predict whether or not a certain
lifetime can be achieved. The results of this work are obtained for both
multi-hop and single-hop wireless sensor networks and are verified with
computer simulation. The approaches of this paper are shown to be applicable to
other packet generation models and the effect of the area shape is also
investigated.
| cs.NI | considering a wireless sensor network whose nodes are distributed randomly over a given area a probability model for the network lifetime is provided using this model and assuming that packet generation follows a poisson distribution an analytical expression for the complementary cumulative density function ccdf of the lifetime is obtained using this ccdf one can accurately find the probability that the network achieves a given lifetime it is also shown that when the number of sensors n is large with an error exponentially decaying with n one can predict whether or not a certain lifetime can be achieved the results of this work are obtained for both multihop and singlehop wireless sensor networks and are verified with computer simulation the approaches of this paper are shown to be applicable to other packet generation models and the effect of the area shape is also investigated | [['considering', 'a', 'wireless', 'sensor', 'network', 'whose', 'nodes', 'are', 'distributed', 'randomly', 'over', 'a', 'given', 'area', 'a', 'probability', 'model', 'for', 'the', 'network', 'lifetime', 'is', 'provided', 'using', 'this', 'model', 'and', 'assuming', 'that', 'packet', 'generation', 'follows', 'a', 'poisson', 'distribution', 'an', 'analytical', 'expression', 'for', 'the', 'complementary', 'cumulative', 'density', 'function', 'ccdf', 'of', 'the', 'lifetime', 'is', 'obtained', 'using', 'this', 'ccdf', 'one', 'can', 'accurately', 'find', 'the', 'probability', 'that', 'the', 'network', 'achieves', 'a', 'given', 'lifetime', 'it', 'is', 'also', 'shown', 'that', 'when', 'the', 'number', 'of', 'sensors', 'n', 'is', 'large', 'with', 'an', 'error', 'exponentially', 'decaying', 'with', 'n', 'one', 'can', 'predict', 'whether', 'or', 'not', 'a', 'certain', 'lifetime', 'can', 'be', 'achieved', 'the', 'results', 'of', 'this', 'work', 'are', 'obtained', 'for', 'both', 'multihop', 'and', 'singlehop', 'wireless', 'sensor', 'networks', 'and', 'are', 'verified', 'with', 'computer', 'simulation', 'the', 'approaches', 'of', 'this', 'paper', 'are', 'shown', 'to', 'be', 'applicable', 'to', 'other', 'packet', 'generation', 'models', 'and', 'the', 'effect', 'of', 'the', 'area', 'shape', 'is', 'also', 'investigated']] | [-0.1557838253130386, 0.09105233423522602, -0.051503182886840984, 0.023344297567544144, -0.0008489478592916081, -0.16236412533584776, 0.03126547779376981, 0.3955272399729842, -0.27523891122352023, -0.302291257164648, 0.08396973947270049, -0.2703227043320011, -0.16784727220753362, 0.20895176999975876, -0.06860182944607611, 0.07548720319108623, 0.08255858299606997, 0.11367155730517374, 0.003851439197508929, -0.27386641019256786, 0.2863697459696495, 0.08523493791128406, 0.32286763429874554, 0.059502548319869675, 0.07380816741109204, -0.014989684817717515, -0.013964377954026632, 0.05231320281503334, -0.08983512530858206, 0.12027906867054601, 0.24020233397007157, 0.1527851213920965, 0.261629331856966, -0.42214408540813664, -0.2762078113672841, 0.1271802097293807, 0.1725582076728137, 0.09732076025102288, -0.03300819040871122, -0.29016152647737825, 0.1491673762534952, -0.22387357722295242, -0.08705029127627818, -0.0023232572000577217, 0.016417347969965905, 0.07469134912793783, -0.34453431307661553, 0.027945252081634762, -0.013525901705078367, -0.022507800937293924, -0.03812473099484729, -0.09101238023221311, -0.013323780262402983, 0.15389245802301352, 0.026901361283509888, 0.03871501182180105, 0.11986231504367122, -0.11447697915395515, -0.09542208052395533, 0.3450734124700021, -0.02332550982828252, -0.23852303318886292, 0.12033623680731075, -0.09292322126889808, -0.07903589985087617, 0.11435183830973175, 0.17200707693619835, 0.11155617492234644, -0.1671324900094583, 0.024473043202306144, -0.05023615397658432, 0.185901550734545, 0.029812393944464728, 0.033246725587458864, 0.17785428728934172, 0.2300944061846369, 0.08665589984674524, 0.12594613254421144, -0.14489076229155115, -0.09953321065404452, -0.2579808182846237, -0.11482909124202302, -0.2679850216114169, 0.05496378411943523, -0.0789365030323097, -0.11545009165800163, 0.38175423266754177, 0.12372380546811554, 0.2101361819400659, 0.1586065563541423, 0.32723146883977783, 0.16895415648145395, 0.05326468655322161, 0.11175943311213309, 0.19626870698347273, 0.07743027486301596, 0.08244425951488665, -0.15110355170488926, 0.12405218053350432, -0.011894643893659426] |
710.0021 | New families of cryptographic systems | A symmetric encryption method based on properties of quasicrystals is
proposed. The advantages of the cipher are strict aperiodicity and everywhere
discontinuous property as well as the speed of computation, simplicity of
implementation and a straightforward possibility of extending the method to
encryption of higher dimensional data.
| cs.CR math.GM | a symmetric encryption method based on properties of quasicrystals is proposed the advantages of the cipher are strict aperiodicity and everywhere discontinuous property as well as the speed of computation simplicity of implementation and a straightforward possibility of extending the method to encryption of higher dimensional data | [['a', 'symmetric', 'encryption', 'method', 'based', 'on', 'properties', 'of', 'quasicrystals', 'is', 'proposed', 'the', 'advantages', 'of', 'the', 'cipher', 'are', 'strict', 'aperiodicity', 'and', 'everywhere', 'discontinuous', 'property', 'as', 'well', 'as', 'the', 'speed', 'of', 'computation', 'simplicity', 'of', 'implementation', 'and', 'a', 'straightforward', 'possibility', 'of', 'extending', 'the', 'method', 'to', 'encryption', 'of', 'higher', 'dimensional', 'data']] | [-0.12213474290168032, -0.009731182313345849, -0.11562097875123963, 0.011129314865064906, -0.10928673764809649, -0.16775533558919709, 0.046946587873266096, 0.35770541025286023, -0.28321994254563715, -0.22898234308083007, 0.1786296460777521, -0.20395856481441793, -0.14608660734635084, 0.2411601489330543, -0.09380137461591809, 0.1447395975007973, -0.007241129934629227, 0.032252070236396285, -0.13456870817599145, -0.2639047132131267, 0.2719614767330758, 0.07051151188367859, 0.3560317210219008, 0.049791128790759025, 0.13610409767158885, -0.02660011143443432, -0.016453763489869048, -0.02097143723252923, -0.035279770451102484, 0.14244385996952336, 0.17469150501679867, 0.1612962802099262, 0.27693957550094483, -0.369978883046102, -0.18792124841600022, 0.051334885464228215, 0.11869085690085875, 0.09382154445778182, -0.11038102704209295, -0.29797968565625077, 0.14537872025307189, -0.22260437188471885, -0.18393741044750872, -0.13915695057825206, -0.0020146041791489783, 0.05185239762067795, -0.24273421496469924, 0.09256569403124616, 0.13815484237807624, 0.07683815569319624, 0.0006609887895273401, -0.04945974121306171, -0.03918515035307946, 0.05695568644342587, 0.010840612300176253, -0.04152945639129649, 0.09344129195000897, -0.08447446607928252, -0.17050375416131808, 0.4485272809149737, -0.023041330991273232, -0.19196593301727416, 0.20984096652233697, -0.06736794013054447, -0.1070701392625082, 0.1328167353281157, 0.15329438875964346, 0.11910534388524421, -0.05984038817993504, 0.1070874969232233, -0.02420520361394007, 0.16566938396414466, 0.07851053977464424, 0.10488348642483036, 0.12126505130188579, 0.19685476251501352, 0.0693797314182875, 0.15246125631668467, -0.04046214193085882, -0.13268443255467302, -0.28433310880543705, -0.2187726782198916, -0.233131251714014, -0.04885677343353312, -0.11139086758695602, -0.22584658575818894, 0.3931012124298735, 0.1763473570958632, 0.1516458194782125, 0.07540635676420432, 0.417538103112515, 0.05598243880283801, 0.09304182772385947, 0.04743916027129014, 0.16581080574542284, 0.18498898008243836, 0.08925125909042841, -0.14250359253244513, 0.07482517187661947, 0.1373787153750024] |
710.0022 | Astronomical constraints on some long-range models of modified gravity | In this paper we use the corrections to the usual Newton-Einstein secular
precessions of the perihelia of the inner planets of the Solar System,
phenomenologically estimated as solve-for parameters by the Russian astronomer
E.V. Pitjeva by fitting almost one century of data with the EPM2004
ephemerides, in order to constrain some long-range models of modified gravity
recently put forth to address the dark energy and dark matter problems. The
models examined here are the four-dimensional ones obtained with the addition
of inverse powers and logarithm of some curvature invariants, and the
multidimensional braneworld model by Dvali, Gabadadze and Porrati (DGP). After
working out the analytical expressions of the secular perihelion precessions
induced by the corrections to the Newtonian potential of such models, we
compare them to the estimated corrections to the rates of perihelia by taking
their ratio for different pairs of planets instead of using one perihelion at a
time for each planet separately, as done so far in literature. As a result, the
curvature invariants-based models are ruled out, even by re-scaling by a factor
10 the errors in the planetary orbital parameters estimated by Pitjeva. Less
neat is the situation for the DGP model. Only the general relativistic
Lense-Thirring effect, not included, as the other exotic models considered
here, by Pitjeva in the dynamical force models used in the estimation process,
passes such a test. It would be important to repeat the present analysis by
using corrections to the precessions of perihelia independently estimated by
other teams of astronomers as well, but, at present, such rates are not yet
available.
| gr-qc astro-ph hep-ph physics.space-ph | in this paper we use the corrections to the usual newtoneinstein secular precessions of the perihelia of the inner planets of the solar system phenomenologically estimated as solvefor parameters by the russian astronomer ev pitjeva by fitting almost one century of data with the epm2004 ephemerides in order to constrain some longrange models of modified gravity recently put forth to address the dark energy and dark matter problems the models examined here are the fourdimensional ones obtained with the addition of inverse powers and logarithm of some curvature invariants and the multidimensional braneworld model by dvali gabadadze and porrati dgp after working out the analytical expressions of the secular perihelion precessions induced by the corrections to the newtonian potential of such models we compare them to the estimated corrections to the rates of perihelia by taking their ratio for different pairs of planets instead of using one perihelion at a time for each planet separately as done so far in literature as a result the curvature invariantsbased models are ruled out even by rescaling by a factor 10 the errors in the planetary orbital parameters estimated by pitjeva less neat is the situation for the dgp model only the general relativistic lensethirring effect not included as the other exotic models considered here by pitjeva in the dynamical force models used in the estimation process passes such a test it would be important to repeat the present analysis by using corrections to the precessions of perihelia independently estimated by other teams of astronomers as well but at present such rates are not yet available | [['in', 'this', 'paper', 'we', 'use', 'the', 'corrections', 'to', 'the', 'usual', 'newtoneinstein', 'secular', 'precessions', 'of', 'the', 'perihelia', 'of', 'the', 'inner', 'planets', 'of', 'the', 'solar', 'system', 'phenomenologically', 'estimated', 'as', 'solvefor', 'parameters', 'by', 'the', 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710.0023 | Pairing with Unconventional Symmetry around BCS-BEC Crossover: Fermionic
Atoms in 2D Optical Lattices to Correlated Electron Systems | We study superfluid properties of fermions on a 2D lattice using a
finite-range pairing interaction derivable from an extended Hubbard model. We
obtain signatures of unconventional pair-symmetry states, $d_{x^2-y^2}$ and
extended-s ($s^*$), in the BCS-BEC crossover region. The fermion momentum
distribution function, $v_k^2$, the ratio of the Bogoliubov coefficients,
$v_k/u_k$, and the Fourier transform of $v_k^2$ are among the properties that
are strikingly different for d- and $s^*$ symmetries in the crossover region.
Fermionic atoms in 2D optical lattices may provide a way to observe these
signatures. We discuss possible experimental ramifications of our results.
| cond-mat.supr-con cond-mat.other | we study superfluid properties of fermions on a 2d lattice using a finiterange pairing interaction derivable from an extended hubbard model we obtain signatures of unconventional pairsymmetry states d_x2y2 and extendeds s in the bcsbec crossover region the fermion momentum distribution function v_k2 the ratio of the bogoliubov coefficients v_ku_k and the fourier transform of v_k2 are among the properties that are strikingly different for d and s symmetries in the crossover region fermionic atoms in 2d optical lattices may provide a way to observe these signatures we discuss possible experimental ramifications of our results | [['we', 'study', 'superfluid', 'properties', 'of', 'fermions', 'on', 'a', '2d', 'lattice', 'using', 'a', 'finiterange', 'pairing', 'interaction', 'derivable', 'from', 'an', 'extended', 'hubbard', 'model', 'we', 'obtain', 'signatures', 'of', 'unconventional', 'pairsymmetry', 'states', 'd_x2y2', 'and', 'extendeds', 's', 'in', 'the', 'bcsbec', 'crossover', 'region', 'the', 'fermion', 'momentum', 'distribution', 'function', 'v_k2', 'the', 'ratio', 'of', 'the', 'bogoliubov', 'coefficients', 'v_ku_k', 'and', 'the', 'fourier', 'transform', 'of', 'v_k2', 'are', 'among', 'the', 'properties', 'that', 'are', 'strikingly', 'different', 'for', 'd', 'and', 's', 'symmetries', 'in', 'the', 'crossover', 'region', 'fermionic', 'atoms', 'in', '2d', 'optical', 'lattices', 'may', 'provide', 'a', 'way', 'to', 'observe', 'these', 'signatures', 'we', 'discuss', 'possible', 'experimental', 'ramifications', 'of', 'our', 'results']] | [-0.16348257507898553, 0.21036291189672632, -0.11849119265936815, 0.08902367995551197, -0.03951564680169066, -0.15793505468736252, 0.07745215061661456, 0.37081302836617475, -0.2420046497336639, -0.19601958481374607, -0.03003537903604929, -0.33854293718092865, -0.1300816154307736, 0.1497564415136973, 0.08920291174761451, 0.024186042938581717, -0.018137098292529744, -0.031932927109488855, -0.16005930543679403, -0.2133421927380065, 0.3262975438928572, -0.03746724661980425, 0.2919480248244219, 0.0797554957129622, -0.006097313292044145, 0.004298928143676891, 0.0564495966549442, -0.04460228411781211, -0.1795053803991753, 0.06850794354461194, 0.24192237756678195, -0.03218971631960363, 0.13545030097086583, -0.3997274883572132, -0.22662420523783533, 0.05343989690425255, 0.16555561921659417, 0.14279309900537615, -0.060074421966458444, -0.3147682154811518, -0.01807681891706682, -0.18951895886090814, -0.1600543713918136, -0.13253406735677872, 0.02606167831528251, 0.001584388293145645, -0.27540437509155563, 0.12545954175694016, 0.04898938737429118, 0.09488664053741001, -0.0862899078575704, -0.147704213687409, -0.034486288277392266, 0.0605505277673083, 0.02031109204530836, 0.001583502525263416, 0.0864992252230564, -0.16661373026023107, -0.09175842235325485, 0.39182654057218824, -0.0805786956196791, -0.14564608502131637, 0.21622141061090333, -0.16948852216153937, -0.08020856701618721, 0.10760768364441471, 0.12025397772630377, 0.06247281913535409, -0.10683453231248805, 0.11425788291812604, -0.1257788765554627, 0.1382386547323036, 0.013305602114527457, 0.13171388176820611, 0.23814722862575324, 0.10544546154297647, 0.019751956851612174, 0.16450829349548346, -0.12961515989805503, -0.10108443894436062, -0.3085262258687327, -0.15318466263437663, -0.2229278421477585, 0.00741016431661543, -0.0519368256317384, -0.13656939752399921, 0.421840258323217, 0.1585732082728677, 0.2506239479107241, -0.015710872527892873, 0.17110999038452984, 0.11627862838432393, 0.050626041628019786, 0.02401731801419569, 0.202062146032169, 0.1447379565246964, 0.05439152486962817, -0.2997293220207055, -0.03617639180963799, 0.11345005515081588] |
710.0024 | Optimized Broad-Histogram Ensembles for the Simulation of Quantum
Systems | The efficiency of statistical sampling in broad-histogram Monte Carlo
simulations can be considerably improved by optimizing the simulated extended
ensemble for fastest equilibration. Here we describe how a recently developed
feedback algorithm can be generalized to find optimized sampling distributions
for the simulation of quantum systems in the context of the stochastic series
expansion (SSE) when defining an extended ensemble in the expansion order. If
the chosen update method is efficient, such as non-local updates for systems
undergoing a second-order phase transition, the optimized ensemble is
characterized by a flat histogram in the expansion order if a variable-length
formulation of the SSE is used. Whenever the update method suffers from
slowdown, such as at a first-order phase transition, the feedback algorithm
shifts weight towards the expansion orders in the transition region, resulting
in a non-uniform histogram.
| cond-mat.stat-mech | the efficiency of statistical sampling in broadhistogram monte carlo simulations can be considerably improved by optimizing the simulated extended ensemble for fastest equilibration here we describe how a recently developed feedback algorithm can be generalized to find optimized sampling distributions for the simulation of quantum systems in the context of the stochastic series expansion sse when defining an extended ensemble in the expansion order if the chosen update method is efficient such as nonlocal updates for systems undergoing a secondorder phase transition the optimized ensemble is characterized by a flat histogram in the expansion order if a variablelength formulation of the sse is used whenever the update method suffers from slowdown such as at a firstorder phase transition the feedback algorithm shifts weight towards the expansion orders in the transition region resulting in a nonuniform histogram | [['the', 'efficiency', 'of', 'statistical', 'sampling', 'in', 'broadhistogram', 'monte', 'carlo', 'simulations', 'can', 'be', 'considerably', 'improved', 'by', 'optimizing', 'the', 'simulated', 'extended', 'ensemble', 'for', 'fastest', 'equilibration', 'here', 'we', 'describe', 'how', 'a', 'recently', 'developed', 'feedback', 'algorithm', 'can', 'be', 'generalized', 'to', 'find', 'optimized', 'sampling', 'distributions', 'for', 'the', 'simulation', 'of', 'quantum', 'systems', 'in', 'the', 'context', 'of', 'the', 'stochastic', 'series', 'expansion', 'sse', 'when', 'defining', 'an', 'extended', 'ensemble', 'in', 'the', 'expansion', 'order', 'if', 'the', 'chosen', 'update', 'method', 'is', 'efficient', 'such', 'as', 'nonlocal', 'updates', 'for', 'systems', 'undergoing', 'a', 'secondorder', 'phase', 'transition', 'the', 'optimized', 'ensemble', 'is', 'characterized', 'by', 'a', 'flat', 'histogram', 'in', 'the', 'expansion', 'order', 'if', 'a', 'variablelength', 'formulation', 'of', 'the', 'sse', 'is', 'used', 'whenever', 'the', 'update', 'method', 'suffers', 'from', 'slowdown', 'such', 'as', 'at', 'a', 'firstorder', 'phase', 'transition', 'the', 'feedback', 'algorithm', 'shifts', 'weight', 'towards', 'the', 'expansion', 'orders', 'in', 'the', 'transition', 'region', 'resulting', 'in', 'a', 'nonuniform', 'histogram']] | [-0.08011695159160916, 0.13863806918989746, -0.1198298030615072, 0.06947804759992697, -0.007913358523236477, -0.09558991432491251, 0.06431232195224285, 0.4028546097414458, -0.30175756274119897, -0.29344951115148005, 0.11979489128947642, -0.22923613811487004, -0.14301626477732926, 0.16175131906536133, 0.006585599789787011, 0.07073912885971367, 0.05758461784845328, 0.028106611513067037, -0.12698719590244925, -0.2302466772037887, 0.2424780633985339, 0.10825050057439298, 0.28513101319549605, -0.05676244606044801, 0.11424580235582064, 0.0036204638034927055, -0.014667174244737801, 0.05786787673765931, -0.1072537732492064, 0.06150224926429527, 0.23219045596402688, 0.09960140053675894, 0.27973966980832354, -0.3680399559054743, -0.23041596319800353, 0.09807015972054454, 0.19227596294620206, 0.14811834330697926, -0.07461154412971262, -0.24179094082758049, 0.048756230175700584, -0.20514194553663187, -0.09829543586409487, -0.0990771982640795, -0.03965383068904938, 0.026361301869522267, -0.33104889402987764, 0.08538393881034982, 0.05094995050560957, -0.0035928062998744495, 0.015880228865117876, -0.08778232304543696, 0.037124153733363044, 0.07655673463480472, -0.058417559162241076, 0.05627921138040941, 0.12647283292265937, -0.08635222835479961, -0.1466314720113159, 0.37636398007024957, -0.09281906193663257, -0.16902814282665907, 0.11555434714126236, -0.09786927322720122, -0.12776430063497493, 0.1871078776243581, 0.1781365789116963, 0.12635945869774065, -0.13859111228018317, 0.060063940774211115, 0.045446811250739676, 0.1499344414264402, 0.03031207444248995, -0.030017188332481858, 0.17306763193953564, 0.16783457933514215, 0.052655420930343956, 0.19157564030405516, -0.06933796071782983, -0.1855324862220133, -0.26802595126826095, -0.13544607819708557, -0.22459265446762883, -0.0024716073428006735, -0.13011780990671148, -0.1877651502213934, 0.3611055945580387, 0.1871148481800714, 0.16747853255091125, 0.04302862709429225, 0.31397327017518417, 0.1704218375876628, 0.06478242806213744, 0.09706502688041997, 0.200031803412404, 0.11217298350118868, 0.09461609936346684, -0.2653794833373361, 0.11493074660114978, 0.1151937585671155] |
710.0025 | Search for Ultra-High Energy Photons with the Pierre Auger Observatory | Data taken at the Pierre Auger Observatory are used to search for air showers
initiated by ultra-high energy (UHE) photons. Results of searches are reported
from hybrid observations where events are measured with both fluorescence and
array detectors. Additionally, a more stringent test of the photon fluxes
predicted with energies above 10^19 eV is made using a larger data set measured
using only the surface detectors of the observatory.
| astro-ph | data taken at the pierre auger observatory are used to search for air showers initiated by ultrahigh energy uhe photons results of searches are reported from hybrid observations where events are measured with both fluorescence and array detectors additionally a more stringent test of the photon fluxes predicted with energies above 1019 ev is made using a larger data set measured using only the surface detectors of the observatory | [['data', 'taken', 'at', 'the', 'pierre', 'auger', 'observatory', 'are', 'used', 'to', 'search', 'for', 'air', 'showers', 'initiated', 'by', 'ultrahigh', 'energy', 'uhe', 'photons', 'results', 'of', 'searches', 'are', 'reported', 'from', 'hybrid', 'observations', 'where', 'events', 'are', 'measured', 'with', 'both', 'fluorescence', 'and', 'array', 'detectors', 'additionally', 'a', 'more', 'stringent', 'test', 'of', 'the', 'photon', 'fluxes', 'predicted', 'with', 'energies', 'above', '1019', 'ev', 'is', 'made', 'using', 'a', 'larger', 'data', 'set', 'measured', 'using', 'only', 'the', 'surface', 'detectors', 'of', 'the', 'observatory']] | [-0.05794621013827028, 0.2617000699299725, -0.01261729981912219, 0.13222203233685897, -0.004384671898045834, -0.06972540554631015, 0.011984596022175274, 0.41180468158985395, -0.11306967045706899, -0.4758368511346803, 0.04474925000787429, -0.4262806215471979, 0.024319446335236233, 0.28803675296797376, 0.10706909945693568, 0.07302736216967089, 0.17952528305729662, -0.07035417462010747, -0.006392800397631051, -0.1392584189205714, 0.20607886183332058, 0.24702399229441863, 0.27591195494692394, 0.06330991327168717, 0.13318754658035503, -0.0466309304760796, -0.08325282389810984, -0.0189737848451604, -0.10056041575887281, 0.09626431807713665, 0.305089466088195, 0.11930637563700261, 0.11180378205102423, -0.46936473018233327, -0.19444004683822824, 0.12064087798522002, 0.037126598781838584, -0.0035395396846360054, -0.06588299194982687, -0.4080937223481959, 0.05877956101481897, -0.11844876665028109, -0.113351007896489, 0.06965705547211827, -0.08656927632788818, 0.042564153185357216, -0.2438405274373034, -0.011470151167578888, -0.10634350829312335, 0.026022857352011444, -0.05451287103789872, -0.16895152139814867, -0.0346001123678803, 0.054326777062986206, 0.07114887351264665, 0.02034468201758421, 0.17731876829234156, -0.08652864003796941, -0.14147755274198193, 0.356001778897168, -0.09786196409360222, -0.04361061166054097, 0.1795700930018464, -0.22719663824967068, -0.12974563901029204, 0.2748140678268628, 0.15975430097592913, 0.09632411830640142, -0.224331084544352, 0.03567922736123285, 0.026964862999654768, 0.18096856224904026, 0.1051853632055007, 0.029931123327949772, 0.1950595626519804, 0.21384253197322614, 0.0688608761984801, 0.04179953757767984, -0.24722713627515064, 0.08307812858264947, -0.2836861247331768, -0.09665827466633872, -0.23400183328413876, 0.07851507777240181, 0.007593731679557148, -0.0676680258880167, 0.3621050245668469, 0.14636535183998986, 0.15289068489294985, 0.0013262146570976229, 0.2929139666434755, 0.07627300250844227, 0.07598891366354149, 0.03333709894450031, 0.3382233477373054, 0.07746482600012551, 0.09764832752230375, -0.12029937368588171, 0.016291112767235525, -0.012586702943604061] |
710.0026 | Irrational Stable Commutator Length in Finitely Presented Groups | We give examples of finitely presented groups containing elements with
irrational (in fact, transcendental) stable commutator length, thus answering
in the negative a question of M. Gromov. Our examples come from 1-dimensional
dynamics, and are related to the generalized Thompson groups studied by M.
Stein, I. Liousse and others.
| math.GT math.DS | we give examples of finitely presented groups containing elements with irrational in fact transcendental stable commutator length thus answering in the negative a question of m gromov our examples come from 1dimensional dynamics and are related to the generalized thompson groups studied by m stein i liousse and others | [['we', 'give', 'examples', 'of', 'finitely', 'presented', 'groups', 'containing', 'elements', 'with', 'irrational', 'in', 'fact', 'transcendental', 'stable', 'commutator', 'length', 'thus', 'answering', 'in', 'the', 'negative', 'a', 'question', 'of', 'm', 'gromov', 'our', 'examples', 'come', 'from', '1dimensional', 'dynamics', 'and', 'are', 'related', 'to', 'the', 'generalized', 'thompson', 'groups', 'studied', 'by', 'm', 'stein', 'i', 'liousse', 'and', 'others']] | [-0.12467775129092236, 0.17002390246489085, -0.03483989636879414, 0.10686648265497449, -0.08817372161138337, -0.17677440281840973, 0.04614245344419032, 0.3529128592150907, -0.3210993737836058, -0.25985682644629077, 0.05633104228278777, -0.30994869347584125, -0.1625527891640862, 0.25918450294799794, -0.15570409659994766, -0.018913446537529428, 0.04676503603695892, 0.05979420027385155, -0.018272583301950363, -0.36533152940683067, 0.3927630990122755, -0.05968895446130773, 0.14205458263556162, 0.029990951899283875, 0.1102183018422996, -0.04229680153851708, -0.11612358700949699, 0.021694966065600358, -0.20099443865971503, 0.13892867090180516, 0.30736614437773824, 0.056927809899207205, 0.25558751373318955, -0.33807467320002615, -0.17924127821849348, 0.12410384038472937, 0.12891766891698353, -0.008707664945783714, -0.09627938740110646, -0.3217660724185407, 0.1090680129127577, -0.11465801436376448, -0.17113195234560408, -0.08150761139889558, 0.12209418431545298, 0.029905976339553792, -0.16945356666110456, 0.03276659253363808, 0.15517651359550655, 0.10128179819245513, -0.005836002218226592, -0.14151891433478644, 0.009644162249363339, 0.14099730313561545, 0.049729933748797826, -0.024807854561610537, 0.08252979777171277, -0.024892670568078756, -0.1361165468018347, 0.3529553203843534, -0.05564767279429361, -0.23486166212630147, 0.18340511047669375, -0.15904914634302258, -0.1413248919416219, 0.1422403215741118, 0.08553275471786037, 0.15632825383606055, -0.009187882921348015, 0.19075886621673513, -0.14955211599590257, 0.044237543984005846, 0.12294484181135583, -0.04589294941009333, 0.08812497307856877, 0.04712962968430171, 0.0667353633325547, 0.09879859564049791, 0.09509803106387456, -0.06759629238998362, -0.3015832808644821, -0.15636093019080968, -0.14075249209417962, 0.1556190867947104, -0.050274361448221803, -0.16573072574101388, 0.37319395058633137, 0.06454577372642234, 0.1907580304541625, 0.07460702867804987, 0.1801297916099429, 0.0042148206775891595, 0.014683512320819622, 0.11401642901667704, 0.0879820099992988, 0.20988566703787606, -0.023992654188380886, -0.1259496599814156, -0.028778182565777872, 0.18766763029270805] |
710.0027 | Ramsey numbers of sparse hypergraphs | We give a short proof that any k-uniform hypergraph H on n vertices with
bounded degree \Delta has Ramsey number at most c(\Delta, k)n, for an
appropriate constant c(\Delta, k). This result was recently proved by several
authors, but those proofs are all based on applications of the hypergraph
regularity method. Here we give a much simpler, self-contained proof which uses
new techniques developed recently by the authors together with an argument of
Kostochka and R\"odl. Moreover, our method demonstrates that, for k \geq 4,
c(\Delta, k) \leq 2^{2^{\Ddots^{2^{c \Delta}}}}, where the tower is of height k
and the constant c depends on k. It significantly improves on the
Ackermann-type upper bound that arises from the regularity proofs, and we
present a construction which shows that, at least in certain cases, this bound
is not far from best possible. Our methods also allows us to prove quite sharp
results on the Ramsey number of hypergraphs with at most m edges.
| math.CO | we give a short proof that any kuniform hypergraph h on n vertices with bounded degree delta has ramsey number at most cdelta kn for an appropriate constant cdelta k this result was recently proved by several authors but those proofs are all based on applications of the hypergraph regularity method here we give a much simpler selfcontained proof which uses new techniques developed recently by the authors together with an argument of kostochka and rodl moreover our method demonstrates that for k geq 4 cdelta k leq 22ddots2c delta where the tower is of height k and the constant c depends on k it significantly improves on the ackermanntype upper bound that arises from the regularity proofs and we present a construction which shows that at least in certain cases this bound is not far from best possible our methods also allows us to prove quite sharp results on the ramsey number of hypergraphs with at most m edges | [['we', 'give', 'a', 'short', 'proof', 'that', 'any', 'kuniform', 'hypergraph', 'h', 'on', 'n', 'vertices', 'with', 'bounded', 'degree', 'delta', 'has', 'ramsey', 'number', 'at', 'most', 'cdelta', 'kn', 'for', 'an', 'appropriate', 'constant', 'cdelta', 'k', 'this', 'result', 'was', 'recently', 'proved', 'by', 'several', 'authors', 'but', 'those', 'proofs', 'are', 'all', 'based', 'on', 'applications', 'of', 'the', 'hypergraph', 'regularity', 'method', 'here', 'we', 'give', 'a', 'much', 'simpler', 'selfcontained', 'proof', 'which', 'uses', 'new', 'techniques', 'developed', 'recently', 'by', 'the', 'authors', 'together', 'with', 'an', 'argument', 'of', 'kostochka', 'and', 'rodl', 'moreover', 'our', 'method', 'demonstrates', 'that', 'for', 'k', 'geq', '4', 'cdelta', 'k', 'leq', '22ddots2c', 'delta', 'where', 'the', 'tower', 'is', 'of', 'height', 'k', 'and', 'the', 'constant', 'c', 'depends', 'on', 'k', 'it', 'significantly', 'improves', 'on', 'the', 'ackermanntype', 'upper', 'bound', 'that', 'arises', 'from', 'the', 'regularity', 'proofs', 'and', 'we', 'present', 'a', 'construction', 'which', 'shows', 'that', 'at', 'least', 'in', 'certain', 'cases', 'this', 'bound', 'is', 'not', 'far', 'from', 'best', 'possible', 'our', 'methods', 'also', 'allows', 'us', 'to', 'prove', 'quite', 'sharp', 'results', 'on', 'the', 'ramsey', 'number', 'of', 'hypergraphs', 'with', 'at', 'most', 'm', 'edges']] | [-0.12206730693095487, 0.11383656715646931, -0.08649876610662952, 0.011109857234236954, -0.0997487341914818, -0.1970678962234103, 0.08018691501427887, 0.3330139101266205, -0.20650563619550574, -0.33495412264077823, 0.059298745692567024, -0.2864838942151214, -0.132458268297227, 0.2220603048174683, -0.08783543716424948, -0.0029408585488116777, 0.0634443272643213, 0.09465489837592878, 0.013099290163669173, -0.31755281250291273, 0.29416707660358565, -0.009192727629165605, 0.18286450021188566, 0.14245117705537932, 0.053096192124528145, 0.016772225740769843, -0.00047254101988279597, 0.015203516882830632, -0.2540398524415536, 0.10636786448493975, 0.22705226760861352, 0.14946645721295299, 0.2633552260978042, -0.350506603342932, -0.1630926545774901, 0.12785938318596227, 0.1459601887138619, 0.10447664892318535, -0.0038743335526706005, -0.23582894376730956, 0.14401662218056432, -0.06337022770471862, -0.12919530956039452, -0.05879787656144714, 0.07612311703580543, 0.006802310180153299, -0.28823039761844016, 0.00036156390710886125, 0.15794154565119473, 0.06178257318997738, 0.03061164648868085, -0.24587530865474552, 0.025406988706650598, 0.030426395758283587, -0.008760480123788774, 0.07699162757343396, 0.01450537193461128, -0.06376671754362818, -0.10473438218798277, 0.28397138861927596, -0.0900402109903055, -0.12328741456668987, 0.1750023274392522, -0.13372970086891414, -0.19406783130055047, 0.12770009775347305, 0.06662628083319971, 0.2040443671515809, -0.07245511110614306, 0.16594210142487917, -0.14248542098691627, 0.18432514317942866, 0.14956144434722057, 0.04604494515747863, 0.05256805820214861, 0.11010479213341882, 0.18202950419644304, 0.12308465441800186, 0.0007481607945296187, 0.01697262001052534, -0.3179556200948526, -0.11281922376372723, -0.23781326289783647, 0.08919505743793454, -0.13013161600791812, -0.12729940246263483, 0.3490106176303805, 0.13449485430130795, 0.20869476144325058, 0.12109117743078877, 0.25308755450770726, 0.08736159527563027, 0.03946648855069828, 0.16218761331694634, 0.16437433396228854, 0.17345486038054028, 0.04638847482607425, -0.13790744741860214, 0.06934341407562576, 0.15900928929692307] |
710.0028 | Constraints on Unparticles from Low Energy Neutrino-Electron Scattering | We place limits on scalar and vector unparticle couplings to electrons and
neutrinos using data from reactor neutrino experiments originally designed to
search for neutrino magnetic moment. Upper bounds on Standard Model
lepton-scalar unparticle and lepton-vector unparticle couplings $\lambda_0$,
and $\lambda_1$ are given for various values of the unparticle mass dimension
d, and the unparticle energy scale $\Lambda_{\cal U}$. Especially for smaller
values of the mass dimension d (1 <d <1.3) these bounds are very significant
and comparable to those obtained from production rates at high energy
colliders. These bounds are also similar to those obtained by the analysis of
the absence of the decay of the low-energy solar and reactor neutrinos.
| hep-ph | we place limits on scalar and vector unparticle couplings to electrons and neutrinos using data from reactor neutrino experiments originally designed to search for neutrino magnetic moment upper bounds on standard model leptonscalar unparticle and leptonvector unparticle couplings lambda_0 and lambda_1 are given for various values of the unparticle mass dimension d and the unparticle energy scale lambda_cal u especially for smaller values of the mass dimension d 1 d 13 these bounds are very significant and comparable to those obtained from production rates at high energy colliders these bounds are also similar to those obtained by the analysis of the absence of the decay of the lowenergy solar and reactor neutrinos | [['we', 'place', 'limits', 'on', 'scalar', 'and', 'vector', 'unparticle', 'couplings', 'to', 'electrons', 'and', 'neutrinos', 'using', 'data', 'from', 'reactor', 'neutrino', 'experiments', 'originally', 'designed', 'to', 'search', 'for', 'neutrino', 'magnetic', 'moment', 'upper', 'bounds', 'on', 'standard', 'model', 'leptonscalar', 'unparticle', 'and', 'leptonvector', 'unparticle', 'couplings', 'lambda_0', 'and', 'lambda_1', 'are', 'given', 'for', 'various', 'values', 'of', 'the', 'unparticle', 'mass', 'dimension', 'd', 'and', 'the', 'unparticle', 'energy', 'scale', 'lambda_cal', 'u', 'especially', 'for', 'smaller', 'values', 'of', 'the', 'mass', 'dimension', 'd', '1', 'd', '13', 'these', 'bounds', 'are', 'very', 'significant', 'and', 'comparable', 'to', 'those', 'obtained', 'from', 'production', 'rates', 'at', 'high', 'energy', 'colliders', 'these', 'bounds', 'are', 'also', 'similar', 'to', 'those', 'obtained', 'by', 'the', 'analysis', 'of', 'the', 'absence', 'of', 'the', 'decay', 'of', 'the', 'lowenergy', 'solar', 'and', 'reactor', 'neutrinos']] | [-0.08450165396894921, 0.2669540554877709, 0.0227998703294857, 0.19409866019744765, -0.06041491126683964, -0.16760089771864428, 0.03734907459901561, 0.2829287347383797, -0.19409095523032274, -0.35876245695081627, 0.048160175733606925, -0.3360345713201572, -0.016897637181153353, 0.23313840158199045, 0.1198366898365996, 0.0854580624730178, 0.04995462709233504, 0.07013160469941795, -0.05670425780117512, -0.22730933529409494, 0.3186203206042674, 0.10583601439879699, 0.21408836046572435, 0.12179962894455953, 0.047084603713698346, -0.07108008705756881, -0.03195430476123213, -0.08280942910774187, -0.17065547422336583, 0.11306922911581668, 0.17860968784132802, 0.07258446300825612, 0.08962933963842012, -0.36805789135396483, -0.14193529617782175, 0.19983580091290853, 0.11676240777808496, 0.045098340498622165, -0.03893678487961138, -0.33697736001446504, 0.09023933292959224, -0.1521104103038934, -0.08375663592675912, -0.05538260114633224, -0.0013707269448786975, -0.052213836478238754, -0.3624573840336366, 0.08128473770735913, -0.03076745368942449, 0.020576835810788906, -0.07804582550148056, -0.2619144007817588, -0.03498869417341088, 0.0529120076934553, 0.16962173740189015, -0.006922136408022859, 0.1379337118176574, -0.16835407651114193, -0.101675746451259, 0.3667855897579681, -0.12461667526936666, -0.16041698325002057, 0.18789044357412918, -0.21745280138724907, -0.12273664351298728, 0.14022440548393536, 0.2268320727754723, 0.03760293460112404, -0.149232697986405, 0.18628215298786843, -0.031185138784348965, 0.12005406858357177, 0.09445719034199349, 0.07889587703922933, 0.19064598344266415, 0.16714838956567374, 0.07766064608903517, -0.03220318634571, -0.13198128796859898, -0.0143394065851515, -0.34531170742755585, -0.06834012457296591, -0.15743058913980018, 0.0927565533530221, -0.1628761587316562, -0.047215087861034344, 0.3592827681706033, 0.13262482012029397, 0.23658881349997088, 0.04899031028193845, 0.2636896268718622, 0.11179610827980055, 0.09161648124625738, 0.08638742752373219, 0.32310098290274086, 0.14057367340111257, 0.1295407884076915, -0.21250886083580553, -0.009352674038911407, 0.11070339537902989] |
710.0029 | Candidate Rotating Toroids around High-Mass (Proto)Stars | Using the OVRO, Nobeyama, and IRAM mm-arrays, we searched for
``disk''-outflow systems in three high-mass (proto)star forming regions:
G16.59-0.05, G23.01-0.41, and G28.87+0.07. These were selected from a sample of
NH3 cores associated with OH and H2O maser emission and with no or very faint
continuum emission. Our imaging of molecular line (including rotational
transitions of CH3CN and 3mm dust continuum emission revealed that these are
compact, massive, and hot molecular cores (HMCs), that is likely sites of
high-mass star formation prior to the appearance of UCHII regions. All three
sources turn out to be associated with molecular outflows from CO and/or HCO+
J=1--0 line imaging. In addition, velocity gradients of 10 -- 100 km/s per pc
in the innermost densest regions of the G23.01 and G28.87 HMCs are identified
along directions roughly perpendicular to the axes of the corresponding
outflows. All the results suggest that these cores might be rotating about the
outflow axis, although the contribution of rotation to gravitational
equilibrium of the HMCs appears to be negligible. Our analysis indicates that
the 3 HMCs are close to virial equilibrium due to turbulent pressure support.
Comparison with other similar objects where rotating toroids have been
identified so far shows that in our case rotation appears to be much less
prominent; this can be explained by the combined effect of unfavorable
projection, large distance, and limited angular resolution with the current
interferometers.
| astro-ph | using the ovro nobeyama and iram mmarrays we searched for diskoutflow systems in three highmass protostar forming regions g1659005 g2301041 and g2887007 these were selected from a sample of nh3 cores associated with oh and h2o maser emission and with no or very faint continuum emission our imaging of molecular line including rotational transitions of ch3cn and 3mm dust continuum emission revealed that these are compact massive and hot molecular cores hmcs that is likely sites of highmass star formation prior to the appearance of uchii regions all three sources turn out to be associated with molecular outflows from co andor hco j10 line imaging in addition velocity gradients of 10 100 kms per pc in the innermost densest regions of the g2301 and g2887 hmcs are identified along directions roughly perpendicular to the axes of the corresponding outflows all the results suggest that these cores might be rotating about the outflow axis although the contribution of rotation to gravitational equilibrium of the hmcs appears to be negligible our analysis indicates that the 3 hmcs are close to virial equilibrium due to turbulent pressure support comparison with other similar objects where rotating toroids have been identified so far shows that in our case rotation appears to be much less prominent this can be explained by the combined effect of unfavorable projection large distance and limited angular resolution with the current interferometers | [['using', 'the', 'ovro', 'nobeyama', 'and', 'iram', 'mmarrays', 'we', 'searched', 'for', 'diskoutflow', 'systems', 'in', 'three', 'highmass', 'protostar', 'forming', 'regions', 'g1659005', 'g2301041', 'and', 'g2887007', 'these', 'were', 'selected', 'from', 'a', 'sample', 'of', 'nh3', 'cores', 'associated', 'with', 'oh', 'and', 'h2o', 'maser', 'emission', 'and', 'with', 'no', 'or', 'very', 'faint', 'continuum', 'emission', 'our', 'imaging', 'of', 'molecular', 'line', 'including', 'rotational', 'transitions', 'of', 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710.003 | Topological Mott Insulators | We consider extended Hubbard models with repulsive interactions on a
Honeycomb lattice and the transitions from the semi-metal phase at half-filling
to Mott insulating phases. In particular, due to the frustrating nature of the
second-neighbor repulsive interactions, topological Mott phases displaying the
quantum Hall and the quantum spin Hall effects are found for spinless and
spinful fermion models, respectively. We present the mean-field phase diagram
and consider the effects of fluctuations within the random phase approximation
(RPA). Functional renormalization group analysis also show that these states
can be favored over the topologically trivial Mott insulating states.
| cond-mat.mes-hall cond-mat.str-el | we consider extended hubbard models with repulsive interactions on a honeycomb lattice and the transitions from the semimetal phase at halffilling to mott insulating phases in particular due to the frustrating nature of the secondneighbor repulsive interactions topological mott phases displaying the quantum hall and the quantum spin hall effects are found for spinless and spinful fermion models respectively we present the meanfield phase diagram and consider the effects of fluctuations within the random phase approximation rpa functional renormalization group analysis also show that these states can be favored over the topologically trivial mott insulating states | [['we', 'consider', 'extended', 'hubbard', 'models', 'with', 'repulsive', 'interactions', 'on', 'a', 'honeycomb', 'lattice', 'and', 'the', 'transitions', 'from', 'the', 'semimetal', 'phase', 'at', 'halffilling', 'to', 'mott', 'insulating', 'phases', 'in', 'particular', 'due', 'to', 'the', 'frustrating', 'nature', 'of', 'the', 'secondneighbor', 'repulsive', 'interactions', 'topological', 'mott', 'phases', 'displaying', 'the', 'quantum', 'hall', 'and', 'the', 'quantum', 'spin', 'hall', 'effects', 'are', 'found', 'for', 'spinless', 'and', 'spinful', 'fermion', 'models', 'respectively', 'we', 'present', 'the', 'meanfield', 'phase', 'diagram', 'and', 'consider', 'the', 'effects', 'of', 'fluctuations', 'within', 'the', 'random', 'phase', 'approximation', 'rpa', 'functional', 'renormalization', 'group', 'analysis', 'also', 'show', 'that', 'these', 'states', 'can', 'be', 'favored', 'over', 'the', 'topologically', 'trivial', 'mott', 'insulating', 'states']] | [-0.2207109869729417, 0.3125375768286176, -0.06214459374192908, 0.08615761920615721, -0.0037938804453006014, -0.24200475049534967, 0.12539318956745168, 0.35749930413051817, -0.25052831240464, -0.2008602101316986, -0.005303448790073162, -0.36546816511933383, -0.18087652158768228, 0.03097613520609836, 0.10643387302358558, -0.012443564085212225, -0.050380542107935376, -0.07931642895952488, -0.1797949601180638, -0.24695041141239926, 0.30569626965855906, -0.09535534785391064, 0.2586365988342247, 0.10503690321396182, -0.020411615766837105, 0.04256839972610275, 0.17377862256641188, 0.027980811117837828, -0.16780252007970375, -0.04490381265471418, 0.2774500084376541, -0.2221901709320567, 0.1433455619844608, -0.4465195440764849, -0.2272623844910413, 0.03450001560425638, 0.1401409722372288, 0.18850765365641564, -0.06317928342468804, -0.42982979059646215, -0.04818038076822025, -0.2527843931457028, -0.1040418750878113, -0.14482258065739492, -0.03499008144778296, -0.0563666586507073, -0.22448517341399565, 0.14713102837868064, 0.02950893066129841, 0.06513478408548205, -0.07907496820553206, -0.1284139961062465, -0.09451962553430349, 0.07370980584043234, 0.01653949326161334, 0.03996790217934176, 0.09385700375423767, -0.17405286118203853, -0.16304501425959947, 0.4308777411545937, -0.02388581581665979, -0.10431264450987025, 0.2167035589761023, -0.17899665892794778, -0.08581536901571478, 0.1442248207361748, 0.09945948146438847, 0.009586368711704077, -0.06607056384867367, 0.1481350729324428, -0.016243758786004037, 0.16903831027836227, -0.1061862481268084, 0.09194695787058056, 0.2916833253887792, 0.1567562415608942, 0.05327273206785321, 0.19887629774045004, -0.10950792805670062, -0.18081909746979363, -0.23659238622834286, -0.12181945255603448, -0.24725587345892563, 0.021255149672166834, -0.07653581226319754, -0.23546654771538064, 0.434071557916468, 0.19291813071322395, 0.12630779893576496, -0.035467034346462846, 0.20457881235779496, 0.11203785746086699, 0.008024990655637035, 0.03998666096595116, 0.24771730660965355, 0.16777011344674975, 0.059588170512142824, -0.2988023060291501, 0.01849887637460294, 0.13078266030788654] |
710.0031 | Study of $B_{c}^{-}$ ${\to}$ $J/{\psi}{\pi}^{-}$, ${\eta}_{c}{\pi}^{-}$
Decays with QCD Factorization | The $B_{c}$ ${\to}$ $J/{\psi}{\pi}$, ${\eta}_{c}{\pi}$ decays are studied in
the scheme of the QCD factorization approach. The branching ratios are
calculated with the asymptotic distribution amplitude of the pion. The charm
quark mass effect is considered. We find that the mass effect on the branching
ratios is small.
| hep-ph | the b_c to jpsipi eta_cpi decays are studied in the scheme of the qcd factorization approach the branching ratios are calculated with the asymptotic distribution amplitude of the pion the charm quark mass effect is considered we find that the mass effect on the branching ratios is small | [['the', 'b_c', 'to', 'jpsipi', 'eta_cpi', 'decays', 'are', 'studied', 'in', 'the', 'scheme', 'of', 'the', 'qcd', 'factorization', 'approach', 'the', 'branching', 'ratios', 'are', 'calculated', 'with', 'the', 'asymptotic', 'distribution', 'amplitude', 'of', 'the', 'pion', 'the', 'charm', 'quark', 'mass', 'effect', 'is', 'considered', 'we', 'find', 'that', 'the', 'mass', 'effect', 'on', 'the', 'branching', 'ratios', 'is', 'small']] | [-0.12437497932357171, 0.26440537579280016, -0.10795984929427505, 0.15348803202990288, -0.0015090100932866335, -0.04382512328447774, 0.0725998411483791, 0.332166551767538, -0.14793604382187672, -0.18989248833774278, -0.021488818963310525, -0.2989113808143884, 0.011610516346991062, 0.10969004702443878, 0.08930518012493849, 0.14263138315679194, 0.0696762621422143, 0.0329646039463114, -0.06920435061814108, -0.22120659773160392, 0.30692410762033734, -0.019593268070214737, 0.2535953789774794, 0.16942810678544143, -0.016474955521213513, -0.043288708809996024, -0.06044416504058366, -0.06142515758983791, -0.1508431148887818, -0.0076985758350929245, 0.12435382268328492, 0.06352981609234121, 0.10868782529238767, -0.23845476075075567, -0.0435327786981361, 0.1359327776687375, 0.17158085458504502, 0.0999284633435309, -0.00024073469830909744, -0.29574878653511405, 0.16373199545584308, -0.20759648108893694, -0.11220295372186229, -0.054283319875442736, 0.03995778637666566, -0.02749654798147579, -0.3643432646834602, 0.1135598209220916, -0.08936737419571728, -0.044612411118578166, 0.012866507391057288, -0.3028811323553479, -0.03265512342719982, 0.04315592790953815, 0.1704869500536006, 0.03208269117749296, 0.2271502816680974, -0.14090563255983093, -0.12190234727070977, 0.4390635012338559, -0.07802732929121703, -0.21495633186229193, 0.05874713748926297, -0.21835371075818935, -0.15061480276441822, 0.16247716608146826, 0.2358344266055307, 0.09608615918356615, -0.1810046297032386, 0.10343309957534075, -0.06328576192026958, 0.14962912247574423, 0.057867574835351356, 0.08631505639641546, 0.17375857959268615, 0.22323952751078954, -0.09862652795466904, 0.08324476605048403, -0.11271300275014558, -0.12143168683784704, -0.31561539174678427, -0.07926164478218804, -0.10060900767954688, 0.08367325299574684, -0.12488228338770568, -0.126866775972303, 0.3086257817706155, 0.08786069149694715, 0.2992015316267498, 0.08538543287431821, 0.33985147640729946, 0.2053998606861569, 0.07704298913207215, 0.07438963337335736, 0.3364970770974954, 0.2686580485121037, 0.15096760743957324, -0.36073207821755204, 0.08887777368848522, 0.09592827607411891] |
710.0032 | Extended TQFT's and Quantum Gravity | This paper gives a definition of an extended topological quantum field theory
(TQFT) as a weak 2-functor Z: nCob_2 -> 2Vect, by analogy with the description
of a TQFT as a functor Z: nCob -> Vect. We also show how to obtain such a
theory from any finite group G. This theory is related to a topological gauge
theory, the Dijkgraaf-Witten model. To give this definition rigorously, we
first define a bicategory of cobordisms between cobordisms. We also give some
explicit description of a higher-categorical version of Vect, denoted 2Vect, a
bicategory of "2-vector spaces". Along the way, we prove several results
showing how to construct 2-vector spaces of "Vect-valued presheaves" on certain
kinds of groupoids. In particular, we use the case when these are groupoids
whose objects are connections, and whose morphisms are gauge transformations,
on the manifolds on which the extended TQFT is to be defined. On cobordisms
between these manifolds, we show how a construction of ``pullback and
pushforward'' of presheaves gives both the morphisms and 2-morphisms in 2Vect
for the extended TQFT, and that these satisfy the axioms for a weak 2-functor.
Finally, we discuss the motivation for this research in terms of Quantum
Gravity. If the results can be extended from a finite group G to a Lie group,
then for some choices of G this theory will recover an existing theory of
Euclidean quantum gravity in 3 dimensions. We suggest extensions of these ideas
which may be useful to further this connection and apply it in higher
dimensions.
| math.QA math.CT | this paper gives a definition of an extended topological quantum field theory tqft as a weak 2functor z ncob_2 2vect by analogy with the description of a tqft as a functor z ncob vect we also show how to obtain such a theory from any finite group g this theory is related to a topological gauge theory the dijkgraafwitten model to give this definition rigorously we first define a bicategory of cobordisms between cobordisms we also give some explicit description of a highercategorical version of vect denoted 2vect a bicategory of 2vector spaces along the way we prove several results showing how to construct 2vector spaces of vectvalued presheaves on certain kinds of groupoids in particular we use the case when these are groupoids whose objects are connections and whose morphisms are gauge transformations on the manifolds on which the extended tqft is to be defined on cobordisms between these manifolds we show how a construction of pullback and pushforward of presheaves gives both the morphisms and 2morphisms in 2vect for the extended tqft and that these satisfy the axioms for a weak 2functor finally we discuss the motivation for this research in terms of quantum gravity if the results can be extended from a finite group g to a lie group then for some choices of g this theory will recover an existing theory of euclidean quantum gravity in 3 dimensions we suggest extensions of these ideas which may be useful to further this connection and apply it in higher dimensions | [['this', 'paper', 'gives', 'a', 'definition', 'of', 'an', 'extended', 'topological', 'quantum', 'field', 'theory', 'tqft', 'as', 'a', 'weak', '2functor', 'z', 'ncob_2', '2vect', 'by', 'analogy', 'with', 'the', 'description', 'of', 'a', 'tqft', 'as', 'a', 'functor', 'z', 'ncob', 'vect', 'we', 'also', 'show', 'how', 'to', 'obtain', 'such', 'a', 'theory', 'from', 'any', 'finite', 'group', 'g', 'this', 'theory', 'is', 'related', 'to', 'a', 'topological', 'gauge', 'theory', 'the', 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710.0033 | Particle Tracking with a Thin Pixel Telescope | We report results on a tracking performance study performed using a beam
telescope made of 50 micron-thick CMOS pixel sensors on the 1.5 GeV electron
beam at the LBNL ALS.
| physics.ins-det | we report results on a tracking performance study performed using a beam telescope made of 50 micronthick cmos pixel sensors on the 15 gev electron beam at the lbnl als | [['we', 'report', 'results', 'on', 'a', 'tracking', 'performance', 'study', 'performed', 'using', 'a', 'beam', 'telescope', 'made', 'of', '50', 'micronthick', 'cmos', 'pixel', 'sensors', 'on', 'the', '15', 'gev', 'electron', 'beam', 'at', 'the', 'lbnl', 'als']] | [-0.0735459161301454, 0.09991254699416459, -0.025276716969286402, -0.05784999846170346, 0.05257749965724846, -0.16833068799848358, 0.06364722764119506, 0.4978215917944908, -0.0862480773900946, -0.4005792647600174, 0.08087913556955754, -0.3608486708253622, 0.03778644353151321, 0.2968274037353694, -0.05248898764451345, 0.1415128852939233, 0.17558962352729093, -0.0792493108039101, -0.05155596510739997, -0.22784877046942711, 0.17549915769292662, 0.23058951664716004, 0.3288343455642462, 0.05389396461347739, 0.25201631129408875, 0.02021914121384422, -0.04894822960098585, -0.05857341148269673, -0.1367264405048142, 0.05184973762370646, 0.20093508327845483, 0.018356525835891566, 0.23133176217476528, -0.4167803733299176, -0.13061311518152555, -0.05565015869215131, 0.04024987438072761, -0.027527983129645387, -0.1478087490812565, -0.33465981722498933, 0.09009269341671218, -0.17135166156416137, -0.1190025250116984, 0.08344696536660194, -0.12006730275849502, -0.010680505889467895, -0.2373181444903215, -0.04499375571807226, -0.07856046023468176, 0.1342308696359396, -0.013542002517109115, -0.19935893563864132, 0.08353758193164443, -0.02427111826837063, -0.10121622650573651, 0.07193526859239986, 0.26915404947164157, -0.06757705652465423, -0.14189782328903675, 0.32355578771481913, -0.02359480382874608, -0.07171899390717347, 0.13049341196504732, -0.20444455357889335, -0.08419272979566207, 0.1542535535991192, 0.23748906338587403, 0.1010434474175175, -0.1762327954173088, 0.0033592855596604448, -0.0022073764353990554, 0.2939245237658421, 0.1362991496377314, -0.00017995815724134446, 0.1722000972755874, 0.30313290071984134, 0.03931702058762312, 0.10958788734084617, -0.3358604747646799, 0.07031380186478296, -0.25417539924383165, -0.1048208609999468, -0.14573855435786148, 0.06433341555918257, 0.020427059071759384, -0.025080224995811782, 0.4190143416635692, 0.15406146609069157, 0.1605835495516658, -0.0018797179994483788, 0.35996352912237245, -0.024074199609458447, 0.11289451868118097, 0.0031605837556223076, 0.3069496261576811, 0.0879331116254131, 0.23577813589945434, -0.17494227678204577, -0.04103744941142698, -0.014177303823331992] |
710.0034 | Developments in finite Phan theory | This is a final report on finite Phan theory, a project that has been
concerned with a revision and generalisation of Phan's presentation results of
twisted Chevalley groups over finite fields with simply laced diagrams by
unitary subgroups of rank one and two. Finite Phan theory has been initiated on
request by Richard Lyons and Ronald Solomon in order to support their revision
of the classification of the finite simple groups.
| math.GR math.HO | this is a final report on finite phan theory a project that has been concerned with a revision and generalisation of phans presentation results of twisted chevalley groups over finite fields with simply laced diagrams by unitary subgroups of rank one and two finite phan theory has been initiated on request by richard lyons and ronald solomon in order to support their revision of the classification of the finite simple groups | [['this', 'is', 'a', 'final', 'report', 'on', 'finite', 'phan', 'theory', 'a', 'project', 'that', 'has', 'been', 'concerned', 'with', 'a', 'revision', 'and', 'generalisation', 'of', 'phans', 'presentation', 'results', 'of', 'twisted', 'chevalley', 'groups', 'over', 'finite', 'fields', 'with', 'simply', 'laced', 'diagrams', 'by', 'unitary', 'subgroups', 'of', 'rank', 'one', 'and', 'two', 'finite', 'phan', 'theory', 'has', 'been', 'initiated', 'on', 'request', 'by', 'richard', 'lyons', 'and', 'ronald', 'solomon', 'in', 'order', 'to', 'support', 'their', 'revision', 'of', 'the', 'classification', 'of', 'the', 'finite', 'simple', 'groups']] | [-0.12432090422584557, 0.1342601843873485, -0.11533252227211922, 0.004654428095255099, -0.1346663315255772, -0.09801485964661123, 0.07573623547632195, 0.36327906469748894, -0.19767582307661502, -0.24956890951159974, 0.1296998615684906, -0.24894083829098185, -0.10708543923306345, 0.18822596084431442, -0.1781349606733297, -0.01501251818795859, 0.04687458335776144, 0.08314340359623164, -0.08413436574349836, -0.35885776647589573, 0.3669810500651808, -0.0037383440042465504, 0.27474610882640726, 0.05037030638654677, 0.07656568374065026, 0.076083842363261, -0.1199274419767546, 0.028212168844233096, -0.09239420957560406, 0.1186433938449957, 0.28231998599908303, 0.08218869581346361, 0.29098132025765283, -0.34801093150507395, -0.21850505334810472, 0.09573094742897321, 0.13345040611817804, 0.06715977094857625, -0.056494192105494966, -0.3053981731842521, 0.14376741960238087, -0.29420602388522576, -0.1280021240088669, -0.0180062343838664, 0.06713545841368204, 0.0008281791110483694, -0.1548992978854918, -0.011922850103025705, 0.09926056787929118, 0.19580758124275108, -0.022190948089086254, -0.11865882256763502, 0.017086614047924817, 0.10122758733489039, -0.01902563975218841, 0.048702408310393214, 0.029192635514051983, -0.06709686162697912, -0.21850686882373313, 0.3743838402901737, -0.04658642282191349, -0.1537345494340423, 0.1708171426803923, -0.1353321678306855, -0.17524511941616805, 0.09602139817393372, 0.1046834503248019, 0.11798142022035137, -0.0973380961091402, 0.1706424491507867, -0.11095618626470087, 0.05838061352325997, 0.1064951893230769, -0.10295485198484655, 0.11370521045985146, 0.13108257853596564, 0.010429948135475877, 0.09047935211466966, 0.10240775675342327, -0.03773850808575959, -0.30758087381615606, -0.17571910680599614, -0.11079020735243676, 0.09876084011572768, -0.02611967551289946, -0.2004771344757206, 0.39157675196167446, 0.05897517940423019, 0.11995353557712163, 0.09165978031626469, 0.19132780163011082, 0.058048554014047266, 0.09207301903975157, 0.021214379791275297, 0.10222274890090798, 0.2729563831194291, -0.010914843062161875, -0.16357965752298773, 0.015454024394554362, 0.23739614582974727] |
710.0035 | On a two variable class of Bernstein-Szego measures | The one variable Bernstein-Szego theory for orthogonal polynomials on the
real line is extended to a class of two variable measures. The polynomials
orthonormal in the total degree ordering and the lexicographical ordering are
constructed and their recurrence coefficients discussed.
| math.CA | the one variable bernsteinszego theory for orthogonal polynomials on the real line is extended to a class of two variable measures the polynomials orthonormal in the total degree ordering and the lexicographical ordering are constructed and their recurrence coefficients discussed | [['the', 'one', 'variable', 'bernsteinszego', 'theory', 'for', 'orthogonal', 'polynomials', 'on', 'the', 'real', 'line', 'is', 'extended', 'to', 'a', 'class', 'of', 'two', 'variable', 'measures', 'the', 'polynomials', 'orthonormal', 'in', 'the', 'total', 'degree', 'ordering', 'and', 'the', 'lexicographical', 'ordering', 'are', 'constructed', 'and', 'their', 'recurrence', 'coefficients', 'discussed']] | [-0.21849402751540764, 0.13522668567020446, -0.023383116582408547, 0.07902706609165762, -0.11152950194664299, -0.1135730994050391, 0.02719288753287401, 0.3846991420723498, -0.30807245476171374, -0.19129510892089457, 0.11992797470011282, -0.2919341573258862, -0.1262100285384804, 0.1365385077893734, 0.024287637695670126, 0.07314062903169542, -0.02159125334583223, 0.08822691045934335, -0.12235525753349066, -0.3103355985600501, 0.3235452351043932, 0.00045549352653324605, 0.24007032570661976, -0.06299900161102415, 0.13936248710379004, 0.016495890775695445, -0.11117780283093452, -0.019014742923900485, -0.09635941626038402, 0.14447665091138334, 0.2522203457541764, 0.14238661726703866, 0.1947254232596606, -0.30576702832477165, -0.1419824216980487, 0.13954428078141062, 0.07122328638797626, -0.011541099613532424, 0.042260993583477104, -0.254120066948235, 0.026039471197873355, -0.104980378935943, -0.20002984805032611, -0.06560321995057165, 0.039421582617796956, 0.11324952258728445, -0.31055786097422244, 0.04078822813462466, 0.0863454405684024, 0.13107785283937118, -0.025806256046053022, -0.18305300832726062, -0.021851459215395153, 0.016716015886049717, 0.005092470551608131, 0.032089728221762925, 0.02517195383552462, -0.04187383509706706, -0.16483254972845315, 0.36735654638614507, -0.01728361309505999, -0.29959486424922943, 0.1276624243473634, -0.1765947336854879, -0.17551747643155977, 0.10865234073717148, 0.13588710986077784, 0.11958384108729661, -0.08540351265110076, 0.05372553923225496, -0.08511208738200367, 0.11325018815696239, 0.12578060565283522, 0.057529984007123856, 0.1495295873726718, -0.03368886016542092, 0.04773298960644752, 0.13606406199978666, -0.015928539243759587, -0.1429296771530062, -0.2724842933006585, -0.17894179157156032, -0.20093045267276466, 0.007586824591271579, -0.1966310538693506, -0.18639119814615696, 0.4617153881583363, 0.07110116588883102, 0.184944204473868, 0.046370918350294235, 0.19411103568272664, 0.18247625359799713, 0.03747520397300832, -0.0011848060530610383, 0.12862744741141796, 0.2220421761739999, 0.06989667088491842, -0.19647847650485345, 0.0941498568339739, 0.18702450470882467] |
710.0036 | Time-Loop Formalism for Irreversible Quantum Problems: Steady State
Transport in Junctions with Asymmetric Dynamics | Non-unitary quantum mechanics has been used in the past to study
irreversibility, dissipation and decay in a variety of physical systems. In
this letter, we propose a general scheme to deal with systems governed by
non-Hermitian Hamiltonians. We argue that the Schwinger-Keldysh formalism gives
a natural description for those problems. To elucidate the method, we study a
simple model inspired by mesoscopic physics --an asymmetric junction. The
system is governed by a non-Hermitian Hamiltonian which captures essential
aspects of irreversibility.
| cond-mat.mes-hall hep-th physics.atom-ph quant-ph | nonunitary quantum mechanics has been used in the past to study irreversibility dissipation and decay in a variety of physical systems in this letter we propose a general scheme to deal with systems governed by nonhermitian hamiltonians we argue that the schwingerkeldysh formalism gives a natural description for those problems to elucidate the method we study a simple model inspired by mesoscopic physics an asymmetric junction the system is governed by a nonhermitian hamiltonian which captures essential aspects of irreversibility | [['nonunitary', 'quantum', 'mechanics', 'has', 'been', 'used', 'in', 'the', 'past', 'to', 'study', 'irreversibility', 'dissipation', 'and', 'decay', 'in', 'a', 'variety', 'of', 'physical', 'systems', 'in', 'this', 'letter', 'we', 'propose', 'a', 'general', 'scheme', 'to', 'deal', 'with', 'systems', 'governed', 'by', 'nonhermitian', 'hamiltonians', 'we', 'argue', 'that', 'the', 'schwingerkeldysh', 'formalism', 'gives', 'a', 'natural', 'description', 'for', 'those', 'problems', 'to', 'elucidate', 'the', 'method', 'we', 'study', 'a', 'simple', 'model', 'inspired', 'by', 'mesoscopic', 'physics', 'an', 'asymmetric', 'junction', 'the', 'system', 'is', 'governed', 'by', 'a', 'nonhermitian', 'hamiltonian', 'which', 'captures', 'essential', 'aspects', 'of', 'irreversibility']] | [-0.15476539837254677, 0.13099104321026972, -0.11843437129864469, 0.06998891460243613, -0.03429485954111442, -0.18396835276507773, -0.018974682749831117, 0.30550576860550793, -0.2683348196616862, -0.26902739104116336, -0.01632980966969626, -0.22054943162947893, -0.23922075883019717, 0.20912445948633832, -0.09246045188046992, 0.08672860625083559, 0.03480377325322479, -0.001945250286371447, -0.08781026486831252, -0.14398266178322955, 0.33082758317468686, 0.04536935992509825, 0.25428304126835427, 0.05737733580172062, 0.12057175053050742, 0.014031204945058561, 0.03843983905389905, 0.0315960158361122, -0.15612547772807375, 0.11145806743588764, 0.24643604181474074, 0.06724778445495758, 0.25668784248409793, -0.4511405957164243, -0.283735728742613, 0.09376168284798041, 0.13519209842197596, 0.18185540576669154, -0.02479591526789591, -0.2954489359515719, 0.021461883827578278, -0.18917752883280628, -0.17129341620602645, -0.116933838481782, 0.022861666674725712, -0.0730359485198278, -0.2209515045338776, 0.05997287241189042, 0.08860532306134701, 0.07306971009238623, -0.007825869193766266, -0.0006536846885865089, 0.08062203814042732, 0.046214113623136654, -0.01140791251527844, -0.029040027869632466, 0.12897864361293615, -0.09848079590301495, -0.1663875859347172, 0.43197752750711516, -0.022161725664045662, -0.19489613662590272, 0.18556786003755404, -0.07791722833935637, -0.14310513482196258, 0.09260085388668812, 0.16729765109485015, 0.1077592668007128, -0.24719790037488565, 0.14663229592188146, -0.0400282442686148, 0.11018295865505934, -0.029965816740877928, 0.05910704230554984, 0.21963549689389766, 0.19645176177000395, -0.0035239236080087722, 0.1503028158505913, 0.024039090986480004, -0.22501198389800264, -0.3150429591536522, -0.14982126718937253, -0.20574952875031158, 0.10503001761098858, -0.010193963383608206, -0.14162007418926806, 0.4375110898735784, 0.19504570792196319, 0.1978759526173235, -0.01174730128113879, 0.23389835474081339, 0.19409460972528905, 0.044519482494797556, 0.029380981595022605, 0.20405491945857648, 0.19109510531125123, 0.11876489565474913, -0.2782683570694644, 0.029272842255886646, 0.09798867091303691] |
710.0037 | Notes on a paper of Tyagi and Holm: A new integral representation for
the Riemann Zeta function | It is shown that a new series representation of Riemann s Zeta function
obtained by Tyagi and Holm leads to an interesting new recursion for Bernoulli
numbers of even index as well as new representations of, and infinite series
involving, Zeta functions of special (integer) argument.
| math.CA math.CV | it is shown that a new series representation of riemann s zeta function obtained by tyagi and holm leads to an interesting new recursion for bernoulli numbers of even index as well as new representations of and infinite series involving zeta functions of special integer argument | [['it', 'is', 'shown', 'that', 'a', 'new', 'series', 'representation', 'of', 'riemann', 's', 'zeta', 'function', 'obtained', 'by', 'tyagi', 'and', 'holm', 'leads', 'to', 'an', 'interesting', 'new', 'recursion', 'for', 'bernoulli', 'numbers', 'of', 'even', 'index', 'as', 'well', 'as', 'new', 'representations', 'of', 'and', 'infinite', 'series', 'involving', 'zeta', 'functions', 'of', 'special', 'integer', 'argument']] | [-0.16696818512813796, 0.09267820255184273, -0.12824460641359506, 0.12224886065561567, -0.12869314144810903, -0.18149151777565156, 0.040557957550450024, 0.2697052654364835, -0.32267077250973036, -0.28230323245667893, 0.09389131427135157, -0.20721630728297422, -0.2408101254183313, 0.2832242630563838, -0.04054507297342238, 0.08698750514051189, 0.01372803269844988, 0.05148697626250594, -0.06805370523310873, -0.2555950731848893, 0.3571923006447437, 0.00543710018467644, 0.17012775737954222, 0.04320244963847748, 0.11012127084414595, 0.05093830169947899, -0.047518580979870065, -0.016427536019245566, -0.08187373224016324, 0.09524267377412837, 0.2506569202422448, 0.0893747968012062, 0.24674875330200177, -0.3404138515824857, -0.18797764599161304, 0.0627408733834391, 0.16050603402697522, -0.029135465621948242, 0.003731507281570331, -0.25426498407740955, 0.06723548377783078, -0.21079745248931905, -0.1538478098506027, -0.14412989110038008, 0.1182314270965593, 0.0797132835622229, -0.33984076634616306, 0.07600924476940671, 0.03149131829496068, 0.06689956750842216, -0.03511755010518043, -0.22079096311379387, 0.010706909572827104, 0.06643939072914097, 0.10730860155055542, 0.059193359283001526, -0.03430112763105527, -0.12688410107005874, -0.13308193789714057, 0.31702064988000883, -0.0690730550609853, -0.19795325382248216, 0.15613681124523282, -0.12908191758754622, -0.20357127388453353, 0.09630447927022191, 0.09375806590137274, 0.17255835951832327, -0.045727101923978844, 0.08880450454813874, -0.12883659750830545, 0.09300575096352512, 0.16974177381590658, -0.019462086685487757, 0.17353961329259301, 0.037716507688974554, 0.0306887693055298, 0.21621361330313527, 0.016364758996211964, -0.03842406551880033, -0.34114090849281004, -0.24071949991681005, -0.22717076361321076, 0.09978404928646657, -0.1352912626000192, -0.24271174196505657, 0.354305989716364, 0.028140764582254316, 0.19319009376973237, 0.13372941001358887, 0.176049274675872, 0.21893575252539924, 0.061013184214496745, -0.018449518009615334, 0.03048033226767312, 0.19448878323537824, 0.04116990137845278, -0.09391488261399386, 0.015034000121016541, 0.21563129012634896] |
710.0038 | Characterization of the matrix whose norm is determined by its action on
decreasing sequences:The exceptional cases | Let $A=(a_{j,k})_{j,k \ge 1}$ be a non-negative matrix. In this paper, we
characterize those $A$ for which $\|A\|_{\ell_p,\ell_q}$ are determined by
their actions on non-negative decreasing sequences, where one of $p$ and $q$ is
1 or $\infty$. The conditions forcing on $A$ are sufficient and they are also
necessary for non-negative finite matrices.
| math.FA math.CA | let aa_jk_jk ge 1 be a nonnegative matrix in this paper we characterize those a for which a_ell_pell_q are determined by their actions on nonnegative decreasing sequences where one of p and q is 1 or infty the conditions forcing on a are sufficient and they are also necessary for nonnegative finite matrices | [['let', 'aa_jk_jk', 'ge', '1', 'be', 'a', 'nonnegative', 'matrix', 'in', 'this', 'paper', 'we', 'characterize', 'those', 'a', 'for', 'which', 'a_ell_pell_q', 'are', 'determined', 'by', 'their', 'actions', 'on', 'nonnegative', 'decreasing', 'sequences', 'where', 'one', 'of', 'p', 'and', 'q', 'is', '1', 'or', 'infty', 'the', 'conditions', 'forcing', 'on', 'a', 'are', 'sufficient', 'and', 'they', 'are', 'also', 'necessary', 'for', 'nonnegative', 'finite', 'matrices']] | [-0.12977835152517347, 0.2223209896325773, -0.03558773649673836, 0.045090775389005154, -0.0133952125039536, -0.21050596228052004, -0.02506910006323939, 0.38505060159984755, -0.28566017856492715, -0.20847656922049673, 0.1978033404117085, -0.30793746045845394, -0.13705284173563853, 0.1371694942160199, -0.0828284522628083, 0.022419871378909138, 0.025319014511564198, 0.11052642630267084, -0.08514195906372704, -0.2717180104889706, 0.369096912699295, -0.07444640365885753, 0.1346293484207754, 0.07496132330019392, 0.08116260298765172, -0.03776803392682661, -0.014993240814838632, 0.030625241840550422, -0.1849494942591763, 0.06568516961609323, 0.2417559729633378, 0.1528902677910439, 0.2981180859108766, -0.38167740495912, -0.13471100399014996, 0.21878607377556025, 0.14113208809502276, -0.003805676632670357, 0.002054220508309264, -0.22801514154336616, 0.26429917329155345, -0.11607041908428073, -0.08278437240925782, -0.09100239989165143, 0.08242418372309675, 0.06842710076849542, -0.4148682817524555, -0.005645429958046104, 0.10829663729550791, 0.0703248742730448, -0.08104124473060902, -0.19101986950080768, 0.009385427222678475, 0.11862747082212831, -0.021962850760924173, 0.02061374532058835, 0.028340814568960638, -0.051338493212254026, -0.05294189472481901, 0.3606084792454745, -0.028824583298581487, -0.30079252554238406, 0.17033055978918485, -0.1523385438976773, -0.11283131492525048, 0.09351868396077086, 0.16572233572529227, 0.18680782389699244, -0.082811505387665, 0.1404979749760755, -0.06125961673245126, 0.10955740752465584, 0.08224324388064298, 0.0046816976266164404, 0.15492603734281718, 0.04615381838498162, 0.1296122597128737, 0.0779264691062089, 0.03321622376211499, 0.027868178645696712, -0.3391085173021637, -0.12812732447705724, -0.24037914940466484, 0.12866440860499792, -0.11016970315854539, -0.14158829860389233, 0.35704315044716295, 0.05495063213668033, 0.2292302744280474, 0.13873323294398027, 0.2230564725274841, 0.14184715475900755, -0.001229081168204692, 0.03701296467881869, 0.08598564112303304, 0.178850237229912, 0.027724414278625275, -0.13289938732872114, 0.08111669648183036, 0.05760571291195411] |
710.0039 | Search for the Invisible Decay of $\jpsi$ in
$\psi(2S)\to\pi+\pi^-J/\psi$ | Using 14.0 million $\psi(2S) events collected with the BES-II detector, a
search for the decay of the $\jpsi$ to an invisible final state in $\psipto$ is
performed. The $\jpsi$ peak in the distribution of mass recoiling against the
$\pi^+\pi^-$ is used to tag $\psi$ invisible decay. No signal is found, and an
upper limit at the 90% confidence level is determined to be $1.2\times 10^{-2}$
for the ratio $\frac{{\cal B}(\jpsi\ar {invisible})}{{\cal
B}(\jpsi\ar\mu^+\mu^-)}$. This is the first search for $J/\psi$ decay to an
invisible final state.
| hep-ex | using 140 million psi2s events collected with the besii detector a search for the decay of the jpsi to an invisible final state in psipto is performed the jpsi peak in the distribution of mass recoiling against the pipi is used to tag psi invisible decay no signal is found and an upper limit at the 90 confidence level is determined to be 12times 102 for the ratio fraccal bjpsiar invisiblecal bjpsiarmumu this is the first search for jpsi decay to an invisible final state | [['using', '140', 'million', 'psi2s', 'events', 'collected', 'with', 'the', 'besii', 'detector', 'a', 'search', 'for', 'the', 'decay', 'of', 'the', 'jpsi', 'to', 'an', 'invisible', 'final', 'state', 'in', 'psipto', 'is', 'performed', 'the', 'jpsi', 'peak', 'in', 'the', 'distribution', 'of', 'mass', 'recoiling', 'against', 'the', 'pipi', 'is', 'used', 'to', 'tag', 'psi', 'invisible', 'decay', 'no', 'signal', 'is', 'found', 'and', 'an', 'upper', 'limit', 'at', 'the', '90', 'confidence', 'level', 'is', 'determined', 'to', 'be', '12times', '102', 'for', 'the', 'ratio', 'fraccal', 'bjpsiar', 'invisiblecal', 'bjpsiarmumu', 'this', 'is', 'the', 'first', 'search', 'for', 'jpsi', 'decay', 'to', 'an', 'invisible', 'final', 'state']] | [-0.06551146433677202, 0.19464331179879532, -0.11731882690578516, 0.13393687617815572, -0.020260761307989372, -0.08373916192256191, 0.06875512504053337, 0.274848695533971, -0.1743530110904464, -0.3037826046577574, 0.016651386809017923, -0.4209246238992538, 0.11376752845230109, 0.15790111912747867, 0.08208778587365408, 0.13761857025509264, 0.09254646630106884, 0.08279764443566953, -0.009256074866164981, -0.1952657723960317, 0.2180337712864311, 0.09381560648124619, 0.23385725634885424, 0.0796817631121541, 0.016405606510140645, 0.00672753507639339, -0.010050416613618532, -0.1370253876587491, -0.14524921823729886, -0.01138997435523772, 0.23718032956893706, 0.16817800672782332, 0.1543119691864208, -0.2829389077162853, 0.018224176538268817, 0.16648123481161434, 0.17556987460242746, 0.0344907396622462, -0.045487634320225984, -0.4182495219104084, 0.19701323843342655, -0.17464044885594904, -0.04054569361305991, 0.02007240728319933, 0.06729585280064149, -0.1436422537368389, -0.34302010507909236, 0.08536289257204367, -0.0771291965538245, -0.0023280208916719542, -0.05007057163841379, -0.1872523594877602, -0.03045254798008152, 0.04153546016594326, 0.08109053467791298, 0.145782884493841, 0.2051173371527298, -0.11698809035846756, -0.15525255435042912, 0.36675234102172616, -0.10672559103904074, -0.16305513549588885, 0.13107170716479974, -0.18272009771892134, -0.09763065510555918, 0.29047561160944124, 0.235135097194601, 0.09416493017479409, -0.2044467100252708, 0.015770894543549484, 0.006289221978757853, 0.27640798697133123, 0.06807010803072724, 0.05817101579331965, 0.1625471404052259, 0.22874415559366484, -0.005480005486327925, 0.11144162338359258, -0.19389181289775873, -0.005426058936634182, -0.3572365286081661, -0.16937933665596777, -0.09810288561893236, 0.08595256357925174, -0.015255668614293954, -0.0792012343896024, 0.355764497347452, 0.06376556563478561, 0.33282841748937414, 0.02231718715924172, 0.30279646294168483, 0.1430214308489712, -0.001578298624443971, 0.07151106123548047, 0.3696909933006046, 0.15932069463586365, 0.11600351798129671, -0.21614544972616398, 0.09793009692055668, -0.04096520615649628] |
710.004 | K* production in Heavy Ion Collisions at RHIC | Study of resonances with their short life-times provides useful tools to
probe the properties of hot and dense matter produced in relativistic heavy ion
collisions. The high density and/or high temperature of the medium can modify
resonance properties such as mass and width. Therefore, measurement of these
properties can reveal important information about the evolution dynamics in
heavy ion collisions. We report the measurements of $K^{*}$ transverse
momentum($p_T$) spectra at mid-rapidity via its hadronic decay channel up to
intermediate $p_{T}$ of 2.9 GeV/c using the STAR detector in Au+Au and Cu+Cu
collisions at $\sqrt{s_{\mathrm{NN}}}$= 62.4 GeV and 200 GeV. These results are
compared to previously reported $K^{*}$ results from Au+Au collisions at RHIC.
Integrated yield ratios of $K^{*}/K$ and $K^{*}/\phi$ are used to understand
the rescattering and regeneration effects on $K^{*}$ production.
| nucl-ex | study of resonances with their short lifetimes provides useful tools to probe the properties of hot and dense matter produced in relativistic heavy ion collisions the high density andor high temperature of the medium can modify resonance properties such as mass and width therefore measurement of these properties can reveal important information about the evolution dynamics in heavy ion collisions we report the measurements of k transverse momentump_t spectra at midrapidity via its hadronic decay channel up to intermediate p_t of 29 gevc using the star detector in auau and cucu collisions at sqrts_mathrmnn 624 gev and 200 gev these results are compared to previously reported k results from auau collisions at rhic integrated yield ratios of kk and kphi are used to understand the rescattering and regeneration effects on k production | [['study', 'of', 'resonances', 'with', 'their', 'short', 'lifetimes', 'provides', 'useful', 'tools', 'to', 'probe', 'the', 'properties', 'of', 'hot', 'and', 'dense', 'matter', 'produced', 'in', 'relativistic', 'heavy', 'ion', 'collisions', 'the', 'high', 'density', 'andor', 'high', 'temperature', 'of', 'the', 'medium', 'can', 'modify', 'resonance', 'properties', 'such', 'as', 'mass', 'and', 'width', 'therefore', 'measurement', 'of', 'these', 'properties', 'can', 'reveal', 'important', 'information', 'about', 'the', 'evolution', 'dynamics', 'in', 'heavy', 'ion', 'collisions', 'we', 'report', 'the', 'measurements', 'of', 'k', 'transverse', 'momentump_t', 'spectra', 'at', 'midrapidity', 'via', 'its', 'hadronic', 'decay', 'channel', 'up', 'to', 'intermediate', 'p_t', 'of', '29', 'gevc', 'using', 'the', 'star', 'detector', 'in', 'auau', 'and', 'cucu', 'collisions', 'at', 'sqrts_mathrmnn', '624', 'gev', 'and', '200', 'gev', 'these', 'results', 'are', 'compared', 'to', 'previously', 'reported', 'k', 'results', 'from', 'auau', 'collisions', 'at', 'rhic', 'integrated', 'yield', 'ratios', 'of', 'kk', 'and', 'kphi', 'are', 'used', 'to', 'understand', 'the', 'rescattering', 'and', 'regeneration', 'effects', 'on', 'k', 'production']] | [-0.06516125453036335, 0.26659251713532617, -0.17247022946266402, 0.10378479034019013, 0.02033557107488653, -0.10087479883804917, -0.06722639696531449, 0.37619734637326363, -0.21379470244529797, -0.3570203089127035, -0.04642312050264357, -0.3788324860065724, 0.13584169445587604, 0.15860565604507978, 0.0959453691488527, 0.09671291866239203, 0.1313859884874987, 0.01954587750581347, -0.03449626106620682, -0.16412244355904643, 0.23232336923529423, 0.14735503426301433, 0.183907434085003, 0.2132574879832453, 0.014126734730477134, 0.03620322007742344, -0.017972923396772592, -0.02836764995784809, -0.18318028786487764, 0.04781853514952783, 0.2938163186067179, 0.03653460213293632, 0.12971469460083454, -0.3598292439498685, -0.1501869774233042, 0.07932544225883303, 0.17081639780945174, 0.06844940731499458, -0.10062526295995199, -0.26052146478358545, 0.15755810764985104, -0.19093460749101007, -0.1424179149043718, -0.04331588784627842, -0.019357127649004036, 0.03873104843924838, -0.29928388346734486, 0.16227097950424207, -0.01731528378635024, 0.09648704061912598, -0.011913391436048021, -0.22530374596967842, -0.08564978664755031, 0.017430781085171144, 0.055559108709337925, 0.053631963839782686, 0.23801078433241468, -0.12191551269356612, -0.12848483837407196, 0.40015786175023427, -0.037880747871840315, -0.0405847237473636, 0.25261862151665176, -0.22979504337082757, -0.12600144809888056, 0.2171401442487188, 0.3135840115137398, 0.11139595912148555, -0.20353058508639646, -0.01790606672434616, 0.02871670961912693, 0.16640938499310295, 0.11929513989228079, 0.1612977744997338, 0.191310647010775, 0.1699392833097866, -0.07773203764703464, 0.08483877787908899, -0.13717683522334095, -0.03750672339193636, -0.3343854547217206, -0.07541197658848074, -0.066598854369879, 0.0607012105800536, -0.07249041258601761, 0.007082949157903027, 0.33817101573345787, 0.11345901868701207, 0.29861543140952673, -0.05489922102688896, 0.2852606901786093, 0.0601348919021389, 0.04773913157722828, 0.12870341591593443, 0.28782616109784803, 0.22929326526707772, 0.22461942195624227, -0.28029487094538513, 0.041777579808805254, -0.007257424981093429] |
710.0041 | Low-Temperature Phase Boundary of dilute Lattice Spin Glasses | The thermal-to-percolative crossover exponent \phi, well-known for
ferromagnetic systems, is studied extensively for Edwards-Anderson spin
glasses. The scaling of defect energies are determined at the bond percolation
threshold p_c, using an improved algorithm. Simulations extend to system sizes
above N=10^8 in dimensions d=2,...,7. The results can be related to the
behavior of the transition temperature T_g (p-p_c)^\phi between the
paramagnetic and the glassy regime for p-> p_c. In three dimensions, where our
simulations predict \phi=1.127(5), this scaling form for T_g provides a rare
experimental test of predictions arising from the equilibrium theory of
low-temperature spin glasses. For dimension near and above the upper critical
dimension, the results provide a new challenge to reconcile mean-field theory
with finite-dimensional properties.
| cond-mat.dis-nn cond-mat.mtrl-sci | the thermaltopercolative crossover exponent phi wellknown for ferromagnetic systems is studied extensively for edwardsanderson spin glasses the scaling of defect energies are determined at the bond percolation threshold p_c using an improved algorithm simulations extend to system sizes above n108 in dimensions d27 the results can be related to the behavior of the transition temperature t_g pp_cphi between the paramagnetic and the glassy regime for p p_c in three dimensions where our simulations predict phi11275 this scaling form for t_g provides a rare experimental test of predictions arising from the equilibrium theory of lowtemperature spin glasses for dimension near and above the upper critical dimension the results provide a new challenge to reconcile meanfield theory with finitedimensional properties | [['the', 'thermaltopercolative', 'crossover', 'exponent', 'phi', 'wellknown', 'for', 'ferromagnetic', 'systems', 'is', 'studied', 'extensively', 'for', 'edwardsanderson', 'spin', 'glasses', 'the', 'scaling', 'of', 'defect', 'energies', 'are', 'determined', 'at', 'the', 'bond', 'percolation', 'threshold', 'p_c', 'using', 'an', 'improved', 'algorithm', 'simulations', 'extend', 'to', 'system', 'sizes', 'above', 'n108', 'in', 'dimensions', 'd27', 'the', 'results', 'can', 'be', 'related', 'to', 'the', 'behavior', 'of', 'the', 'transition', 'temperature', 't_g', 'pp_cphi', 'between', 'the', 'paramagnetic', 'and', 'the', 'glassy', 'regime', 'for', 'p', 'p_c', 'in', 'three', 'dimensions', 'where', 'our', 'simulations', 'predict', 'phi11275', 'this', 'scaling', 'form', 'for', 't_g', 'provides', 'a', 'rare', 'experimental', 'test', 'of', 'predictions', 'arising', 'from', 'the', 'equilibrium', 'theory', 'of', 'lowtemperature', 'spin', 'glasses', 'for', 'dimension', 'near', 'and', 'above', 'the', 'upper', 'critical', 'dimension', 'the', 'results', 'provide', 'a', 'new', 'challenge', 'to', 'reconcile', 'meanfield', 'theory', 'with', 'finitedimensional', 'properties']] | [-0.07632268780194547, 0.21104598251163817, -0.08513319353046625, 0.0658678988845128, 0.02480251070101867, -0.16574522950888976, 0.06053380281259508, 0.32076645972126205, -0.2347823682403111, -0.24901908283000407, 0.061616236908847224, -0.31412984618674156, -0.13261301944680187, 0.19479787485755007, 0.06595506948297439, 0.07071941239030465, -0.04681786363337027, 0.04334317438491701, -0.11412558272460718, -0.21737352024115947, 0.28304025819525125, 0.014371813987584218, 0.28280523322198703, 0.09877024321290462, 0.0239673954596662, -0.01918667203584767, 0.13230952168612375, 0.04413556424576951, -0.2649559211552791, 0.046926410370708806, 0.26697461953710605, -0.013703401066848765, 0.16745490387073242, -0.3669953738136784, -0.22266188812968524, 0.07318697624596888, 0.11888797441497445, 0.09496322471000578, -0.0075339362642768285, -0.2717893907962286, 0.09379309152617403, -0.13846823849067416, -0.2062543512079055, -0.1116326782528473, 0.02142995225427591, -0.024797287763541807, -0.29898358240075734, 0.14816778635849123, 0.07221758863281297, 0.11355053191857777, -0.08870321450471554, -0.1461427868829797, 0.013966963559632069, 0.11317591370771761, 0.024832387080254113, 0.035277548262282556, 0.1583366165990415, -0.13737606150503068, -0.1610296804619872, 0.33966085134964924, -0.0012989839792008633, -0.08965063474581415, 0.2318889618365337, -0.20055892006696566, -0.1518534893453445, 0.15173406726883157, 0.14154429374181707, 0.07329649958840531, -0.10939458419528345, 0.09516007593205279, -0.01207153322580068, 0.181917112612206, 0.016449854186857526, -0.014168453856330851, 0.18552074859971585, 0.2215971478888684, 0.02905196499373035, 0.16223874793732135, -0.0732145340303364, -0.1675207837930192, -0.24868891418445854, -0.11471869255537571, -0.23101073178341208, 0.07028698713579418, -0.1536834793000826, -0.1301845319569111, 0.30850913178621103, 0.18716389963241375, 0.20601662183585373, 0.10225038066627863, 0.18302954537793995, 0.12264215613857074, 0.0035720821510514486, 0.04853010970527185, 0.24841964291003735, 0.18009234585029923, 0.10498131601969996, -0.25963139471840924, 0.04433803601372663, 0.08602783767425495] |
710.0042 | Shear Thickening and Scaling of the Elastic Modulus in a Fractal
Colloidal System with Attractive Interactions | Dilute oil dispersions of fractal carbon black particles with attractive Van
der Waals interactions display continuous shear thickening followed by shear
thinning at high shear rates. The shear thickening transition occurs at
$\dot\gamma_{c}\approx 10^{2}-10^{3}s^{-1}$ and is driven by hydrodynamic
breakup of clusters. Pre-shearing dispersions at shear rates
$\dot\gamma>\dot\gamma_{c}$ produces enhanced-modulus gels where $G' \sim
\sigma_{pre-shear}^{1.5-2}$ and is directly proportional to the residual stress
in the gel measured at a fixed sample age. The observed data can be accounted
for using a simple scaling model for the breakup of fractal clusters under
shear stress.
| cond-mat.soft | dilute oil dispersions of fractal carbon black particles with attractive van der waals interactions display continuous shear thickening followed by shear thinning at high shear rates the shear thickening transition occurs at dotgamma_capprox 102103s1 and is driven by hydrodynamic breakup of clusters preshearing dispersions at shear rates dotgammadotgamma_c produces enhancedmodulus gels where g sim sigma_preshear152 and is directly proportional to the residual stress in the gel measured at a fixed sample age the observed data can be accounted for using a simple scaling model for the breakup of fractal clusters under shear stress | [['dilute', 'oil', 'dispersions', 'of', 'fractal', 'carbon', 'black', 'particles', 'with', 'attractive', 'van', 'der', 'waals', 'interactions', 'display', 'continuous', 'shear', 'thickening', 'followed', 'by', 'shear', 'thinning', 'at', 'high', 'shear', 'rates', 'the', 'shear', 'thickening', 'transition', 'occurs', 'at', 'dotgamma_capprox', '102103s1', 'and', 'is', 'driven', 'by', 'hydrodynamic', 'breakup', 'of', 'clusters', 'preshearing', 'dispersions', 'at', 'shear', 'rates', 'dotgammadotgamma_c', 'produces', 'enhancedmodulus', 'gels', 'where', 'g', 'sim', 'sigma_preshear152', 'and', 'is', 'directly', 'proportional', 'to', 'the', 'residual', 'stress', 'in', 'the', 'gel', 'measured', 'at', 'a', 'fixed', 'sample', 'age', 'the', 'observed', 'data', 'can', 'be', 'accounted', 'for', 'using', 'a', 'simple', 'scaling', 'model', 'for', 'the', 'breakup', 'of', 'fractal', 'clusters', 'under', 'shear', 'stress']] | [-0.11482184433817179, 0.2673684323056676, -0.11628636701538324, 0.00283915497865742, 0.02658302944699495, -0.11719050353671286, 0.009365751627490095, 0.3355877311236557, -0.3173344217397369, -0.2414750809575185, -0.01040141833223531, -0.30340880286162614, -0.10198693842380896, 0.17929045744400857, 0.041032858635666886, 0.05261383287009151, 0.007068799423246548, -0.06164316675657856, -0.023727454084517628, -0.21444384149682505, 0.25888497308538905, 0.08349060877922108, 0.3456979924919962, 0.042424917744938284, 0.08608946020195753, -0.05003322078043531, 0.01131296746604059, 0.11866143176696081, -0.27686400640349107, -0.03480752129723243, 0.23805131895558632, -0.12505781324045068, 0.22268101500197388, -0.42180598065771907, -0.21382341718022851, 0.05196317491635423, 0.13891196812920528, 0.11340450432858076, -0.02768498253955067, -0.2241996349285132, 0.05266395832101504, -0.17852446302536062, -0.12217416375575738, -0.046768591179908524, 0.0741322163877816, 0.0650248310258398, -0.27290576481495865, 0.3311221243107113, 0.009123133966463736, 0.09285429821231928, -0.12430644566300271, -0.05712310631556072, -0.10305188633715627, 0.06997294077949448, 0.057178243937174224, 0.036349770522023414, 0.3265348567745124, -0.16855178726034176, 0.04560179624909899, 0.41568513240279825, -0.06400986529094563, -0.09315271673980972, 0.2546315308628154, -0.1661800997460197, -0.10527795330680179, 0.2556019129295801, 0.19957948696863806, 0.007209114848111553, -0.12698491487716293, -0.021091343301091473, 0.05386619723733814, 0.148474154672746, 0.13799754873817338, -0.1184682509294529, 0.2920188869124857, 0.22601969780577025, -0.011260665246638758, 0.13710361919044678, -0.1459631579125236, -0.006155163777628164, -0.23494094817888464, -0.09999139018185522, -0.2001774038305913, 0.03697794646923912, -0.18973610370825367, -0.1998223375620042, 0.22288377907384058, -0.0026657679974604613, 0.2025139004596905, 0.11022933060570952, 0.22993861372454155, 0.06928707153975279, 0.09854862584743178, 0.0663873829782523, 0.3453845431300244, 0.1560893757215262, 0.10184723481364634, -0.2213729742363138, 0.13031633954024177, 0.08983236722562504] |
710.0043 | Graph rigidity, Cyclic Belief Propagation and Point Pattern Matching | A recent paper \cite{CaeCaeSchBar06} proposed a provably optimal, polynomial
time method for performing near-isometric point pattern matching by means of
exact probabilistic inference in a chordal graphical model. Their fundamental
result is that the chordal graph in question is shown to be globally rigid,
implying that exact inference provides the same matching solution as exact
inference in a complete graphical model. This implies that the algorithm is
optimal when there is no noise in the point patterns. In this paper, we present
a new graph which is also globally rigid but has an advantage over the graph
proposed in \cite{CaeCaeSchBar06}: its maximal clique size is smaller,
rendering inference significantly more efficient. However, our graph is not
chordal and thus standard Junction Tree algorithms cannot be directly applied.
Nevertheless, we show that loopy belief propagation in such a graph converges
to the optimal solution. This allows us to retain the optimality guarantee in
the noiseless case, while substantially reducing both memory requirements and
processing time. Our experimental results show that the accuracy of the
proposed solution is indistinguishable from that of \cite{CaeCaeSchBar06} when
there is noise in the point patterns.
| cs.CV | a recent paper citecaecaeschbar06 proposed a provably optimal polynomial time method for performing nearisometric point pattern matching by means of exact probabilistic inference in a chordal graphical model their fundamental result is that the chordal graph in question is shown to be globally rigid implying that exact inference provides the same matching solution as exact inference in a complete graphical model this implies that the algorithm is optimal when there is no noise in the point patterns in this paper we present a new graph which is also globally rigid but has an advantage over the graph proposed in citecaecaeschbar06 its maximal clique size is smaller rendering inference significantly more efficient however our graph is not chordal and thus standard junction tree algorithms cannot be directly applied nevertheless we show that loopy belief propagation in such a graph converges to the optimal solution this allows us to retain the optimality guarantee in the noiseless case while substantially reducing both memory requirements and processing time our experimental results show that the accuracy of the proposed solution is indistinguishable from that of citecaecaeschbar06 when there is noise in the point patterns | [['a', 'recent', 'paper', 'citecaecaeschbar06', 'proposed', 'a', 'provably', 'optimal', 'polynomial', 'time', 'method', 'for', 'performing', 'nearisometric', 'point', 'pattern', 'matching', 'by', 'means', 'of', 'exact', 'probabilistic', 'inference', 'in', 'a', 'chordal', 'graphical', 'model', 'their', 'fundamental', 'result', 'is', 'that', 'the', 'chordal', 'graph', 'in', 'question', 'is', 'shown', 'to', 'be', 'globally', 'rigid', 'implying', 'that', 'exact', 'inference', 'provides', 'the', 'same', 'matching', 'solution', 'as', 'exact', 'inference', 'in', 'a', 'complete', 'graphical', 'model', 'this', 'implies', 'that', 'the', 'algorithm', 'is', 'optimal', 'when', 'there', 'is', 'no', 'noise', 'in', 'the', 'point', 'patterns', 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'citecaecaeschbar06', 'when', 'there', 'is', 'noise', 'in', 'the', 'point', 'patterns']] | [-0.10213008710921521, 0.031110643374957267, -0.11208814833019125, 0.06507012873434609, -0.11260840145773009, -0.15488903634250165, 0.061037037335336206, 0.4144734644380055, -0.2902848422625347, -0.28763030056449534, 0.11109881349777999, -0.2149307144255114, -0.20441539541475082, 0.1767973733600229, -0.1185576747931344, 0.08734115044996878, 0.13755508275751613, 0.061009281060021174, -0.027728428609522158, -0.2594885626037323, 0.24073753364408682, 0.05289868823081059, 0.30540463855906735, 0.03564528319126877, 0.1150490813766067, 0.0029421949832651177, 0.005036754734618099, 0.0646002842159329, -0.094453903488389, 0.08269413290055175, 0.28956641702128477, 0.19588365921456563, 0.27159484159201386, -0.40208647334458014, -0.19477903561997473, 0.16525768203366745, 0.18024709148479529, 0.14530453538877497, -0.03536837385441973, -0.23513539118790314, 0.14848906119158, -0.11333677415049782, 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710.0044 | A modular absolute bound condition for primitive association schemes | The well-known absolute bound condition for a primitive symmetric association
scheme (X,S) gives an upper bound for |X| in terms of |S| and the minimal
non-principal multiplicity of the scheme. In this paper we prove another upper
bounds for |X| for an arbitrary primitive scheme (X,S). They do not depend on
|S| but depend on some invariants of its adjacency algebra KS where K is an
algebraic number field or a finite field.
| math.CO math.RT | the wellknown absolute bound condition for a primitive symmetric association scheme xs gives an upper bound for x in terms of s and the minimal nonprincipal multiplicity of the scheme in this paper we prove another upper bounds for x for an arbitrary primitive scheme xs they do not depend on s but depend on some invariants of its adjacency algebra ks where k is an algebraic number field or a finite field | [['the', 'wellknown', 'absolute', 'bound', 'condition', 'for', 'a', 'primitive', 'symmetric', 'association', 'scheme', 'xs', 'gives', 'an', 'upper', 'bound', 'for', 'x', 'in', 'terms', 'of', 's', 'and', 'the', 'minimal', 'nonprincipal', 'multiplicity', 'of', 'the', 'scheme', 'in', 'this', 'paper', 'we', 'prove', 'another', 'upper', 'bounds', 'for', 'x', 'for', 'an', 'arbitrary', 'primitive', 'scheme', 'xs', 'they', 'do', 'not', 'depend', 'on', 's', 'but', 'depend', 'on', 'some', 'invariants', 'of', 'its', 'adjacency', 'algebra', 'ks', 'where', 'k', 'is', 'an', 'algebraic', 'number', 'field', 'or', 'a', 'finite', 'field']] | [-0.22133976548642226, 0.10959298909886593, -0.09825291291950908, 0.050738685675067445, -0.08794524171708586, -0.17705561517265767, 0.10401572940443732, 0.3033911120465459, -0.2860769085739165, -0.250612875625287, 0.07925076390080767, -0.24142590226375893, -0.07468287022592984, 0.23114046498922605, -0.09098164614749281, -0.020814280370920132, 0.02137296091867228, 0.1967016740204537, -0.10314072328715343, -0.29913741753321804, 0.3256180058807543, -0.01514745644000295, 0.23461318381245516, 0.09523225300753974, 0.0990122315690738, 0.012540048728250477, 0.00013300745862804047, -0.04251664381933539, -0.19146212101084728, 0.12077170578852194, 0.19486366322723359, 0.10268763730570368, 0.19549921673263282, -0.38013660078485534, -0.11761760950241595, 0.20989843373735473, 0.16452717773412187, 0.014331011650190777, -0.006017801109446238, -0.19442813391861033, 0.15896181024815123, -0.1588967160085752, -0.12928119373239882, -0.03626254981715385, 0.10132111831287509, 0.0025158514817283577, -0.338328076819953, 0.009503578116530425, 0.141610161682004, 0.11412649260345872, -0.05206979068525595, -0.174409940352421, -0.014146385484770553, 0.047881474740777724, -0.011525959736501721, 0.05725128426254816, 0.04829929871101902, -0.09093159370519834, -0.09975372831503006, 0.3263267669571589, -0.07693187620694915, -0.2576587460679959, 0.11744394203750035, -0.14648670699345331, -0.14218485227798763, 0.15706764638092216, 0.14819842786209225, 0.2033394230784823, -0.04745766877719801, 0.2231329809993901, -0.1468302750424163, 0.1439604840148878, 0.04450470172123958, 0.10455206131294675, 0.1053092138050762, 0.05175645654536273, 0.12106433949012259, 0.08037958563343711, -0.02312550256794242, -0.008453076718094414, -0.38245423988292426, -0.22236689814997915, -0.17866141938489594, 0.10106671837892875, -0.12155396201028265, -0.21000812291837465, 0.3164493711366759, 0.056081264445634736, 0.21068525907570776, 0.06225289307432632, 0.23745590451250032, 0.1398429410685211, -0.005111857757533658, 0.10629573863714117, 0.1449751248347975, 0.18369658342371248, -0.037030571344474406, -0.17287860183708675, 0.08426658108141528, 0.1764205236192027] |
710.0045 | Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical
Lattices | Inspired by experiments on Bose-Einstein condensates in optical lattices, we
study the quantum evolution of dark soliton initial conditions in the context
of the Bose-Hubbard Hamiltonian. An extensive set of quantum measures is
utilized in our analysis, including von Neumann and generalized quantum
entropies, quantum depletion, and the pair correlation function. We find that
quantum effects cause the soliton to fill in. Moreover, soliton-soliton
collisions become inelastic, in strong contrast to the predictions of
mean-field theory. These features show that the lifetime and collision
properties of dark solitons in optical lattices provide clear signals of
quantum effects.
| cond-mat.mes-hall nlin.PS quant-ph | inspired by experiments on boseeinstein condensates in optical lattices we study the quantum evolution of dark soliton initial conditions in the context of the bosehubbard hamiltonian an extensive set of quantum measures is utilized in our analysis including von neumann and generalized quantum entropies quantum depletion and the pair correlation function we find that quantum effects cause the soliton to fill in moreover solitonsoliton collisions become inelastic in strong contrast to the predictions of meanfield theory these features show that the lifetime and collision properties of dark solitons in optical lattices provide clear signals of quantum effects | [['inspired', 'by', 'experiments', 'on', 'boseeinstein', 'condensates', 'in', 'optical', 'lattices', 'we', 'study', 'the', 'quantum', 'evolution', 'of', 'dark', 'soliton', 'initial', 'conditions', 'in', 'the', 'context', 'of', 'the', 'bosehubbard', 'hamiltonian', 'an', 'extensive', 'set', 'of', 'quantum', 'measures', 'is', 'utilized', 'in', 'our', 'analysis', 'including', 'von', 'neumann', 'and', 'generalized', 'quantum', 'entropies', 'quantum', 'depletion', 'and', 'the', 'pair', 'correlation', 'function', 'we', 'find', 'that', 'quantum', 'effects', 'cause', 'the', 'soliton', 'to', 'fill', 'in', 'moreover', 'solitonsoliton', 'collisions', 'become', 'inelastic', 'in', 'strong', 'contrast', 'to', 'the', 'predictions', 'of', 'meanfield', 'theory', 'these', 'features', 'show', 'that', 'the', 'lifetime', 'and', 'collision', 'properties', 'of', 'dark', 'solitons', 'in', 'optical', 'lattices', 'provide', 'clear', 'signals', 'of', 'quantum', 'effects']] | [-0.12999159620460315, 0.17026928487397638, -0.13387158630204568, 0.11171909818814625, 0.017964526300424152, -0.11625950646193065, -0.019076614334612853, 0.3693734811998174, -0.23008018444243042, -0.21781408235661148, 0.015316757591940539, -0.31756646646013886, -0.14297216532022222, 0.18348710506088725, 0.017319720305656035, 0.11067214211660255, 0.09232161781683411, 0.004277923196306951, -0.06009969561355976, -0.25806926141766656, 0.3434356594909482, 0.016201202091568907, 0.2894943625157334, 0.13311151193320445, 0.04025391440780968, 0.03369258205915235, 0.021401143824854463, 0.003924185294926781, -0.2014086252594782, 0.07250048411972869, 0.22593661068372198, 0.045637649344760424, 0.23059164015960293, -0.4765921072439127, -0.25355746000813145, 0.12294644188884761, 0.14440462431035092, 0.18370411413020848, -0.0683502842427337, -0.3494241230691466, 0.014521733696870123, -0.191393071996797, -0.12460618737854601, -0.09753283343671523, 0.015110521740520123, 0.036931662068980714, -0.2240872010588646, 0.11980314823299569, 0.06467340946120699, 0.07650466784642837, -0.07228263361456315, -0.026467699442327637, 0.006505952240687977, 0.04680898057815341, -0.037951922190577254, -0.04781960436027766, 0.1305319585923835, -0.1807389101505606, -0.15942473785373257, 0.37871773290380684, -0.11035594052500716, -0.15273224952217845, 0.1902795033889448, -0.13510088403181164, -0.07163576606046601, 0.05946952920195829, 0.16174128455753178, 0.06022388446288779, -0.11262556574470603, 0.059011601524297914, -0.03429599739035073, 0.17051530416248387, 0.0584889449942473, 0.14537079358286195, 0.2435474328159057, 0.13504837554178595, 0.022438753674709305, 0.16403081364084765, -0.06576556414989851, -0.2045043549433197, -0.29655725393413096, -0.12976786859103084, -0.20603286337165028, 0.05355254503461465, -0.055205275088137, -0.15996533148374753, 0.36125304462080915, 0.15876860004494486, 0.20748055544825866, -0.02883455196645149, 0.24850610377670257, 0.12961782748854753, 0.03129012389204551, 0.039216818028734515, 0.2663621863964753, 0.17424313028429433, 0.08447788421967134, -0.32039411840768356, -0.051543367757778805, 0.06871530651738963] |
710.0046 | The basis digraphs of p-schemes | It is proved that association schemes with bipartite basis graphs are exactly
2-schemes. This result follows from a characterization of p-schemes for an
arbitrary prime p in terms of basis digraphs.
| math.CO | it is proved that association schemes with bipartite basis graphs are exactly 2schemes this result follows from a characterization of pschemes for an arbitrary prime p in terms of basis digraphs | [['it', 'is', 'proved', 'that', 'association', 'schemes', 'with', 'bipartite', 'basis', 'graphs', 'are', 'exactly', '2schemes', 'this', 'result', 'follows', 'from', 'a', 'characterization', 'of', 'pschemes', 'for', 'an', 'arbitrary', 'prime', 'p', 'in', 'terms', 'of', 'basis', 'digraphs']] | [-0.18127329827596744, 0.1013836452625886, -0.10235226849714915, 0.04803158398717642, -0.033118645350138344, -0.16895363708026706, 0.002719687670469284, 0.36054342209051055, -0.25901539375384647, -0.2646430065855384, 0.059830570248110844, -0.23685377451280754, -0.14201825812148552, 0.21063032746315002, -0.08848769118388494, 0.027864964096806943, 0.12894917478164036, 0.09688739519721518, 0.02514291040133685, -0.2829640824968616, 0.32938559018075464, 0.010737812208632628, 0.22850045412778855, 0.048918191048627095, 0.041251854070772725, 0.053234217269346115, -0.0345839211717248, 0.06015189376970132, -0.13143492509576996, 0.09969689880187313, 0.3512088822045674, 0.15006293014933667, 0.21445471718907355, -0.3039787474398812, -0.14168483711158236, 0.20397910415194928, 0.12214498242052893, 0.08788671133418878, 0.013285994296893477, -0.18733462976912657, 0.1137722552443544, -0.19278791028385361, -0.1586670103482902, -0.05872618062421679, 0.10519559575865665, 0.05134856405978402, -0.3703113483885924, -0.0036764055180052916, 0.14076172218968472, 0.13619900569319726, -0.004888281488092616, -0.14868355894771715, 0.0018272976856678724, 0.06418512505479157, -0.0596079670280839, 0.05919552358488242, -0.04995751081344982, -0.07150646655354649, -0.23360378642876942, 0.3930457066744566, 0.004940165858715773, -0.19998456152776878, 0.10630857961174721, -0.1365240741831561, -0.174778848576049, 0.1193144254386425, 0.08596819881349801, 0.1547403989514957, -0.12969766239014766, 0.1228323932737112, -0.1723985530436039, 0.10532013333092133, 0.12854775871771076, 0.050090163845258454, 0.08905505118891596, 0.0880844698442767, 0.14025295665487647, 0.18573390499999126, 0.09124612348775069, 0.0012024126791705689, -0.31735077475508056, -0.13742809801672895, -0.25640599701243144, 0.0830562476379176, -0.1294944807110975, -0.1759306353206436, 0.35348970256745815, 0.01532136556537201, 0.12336324965581298, 0.11027344958856702, 0.2006913867391025, 0.09913349722822508, 0.02110854856049021, 0.12358430000022054, 0.12467245507674912, 0.21980970753356815, -0.054920702474191785, -0.09989851425246646, 0.08208361587797602, 0.16881997409897545] |
710.0047 | Addendum: Triton and hypertriton binding energies calculated from SU_6
quark-model baryon-baryon interactions | Previously we calculated the binding energies of the triton and hypertriton,
using an SU_6 quark-model interaction derived from a resonating-group method of
two baryon clusters. In contrast to the previous calculations employing the
energy-dependent interaction kernel, we present new results using a
renormalized interaction, which is now energy independent and reserves all the
two-baryon data. The new binding energies are slightly smaller than the
previous values. In particular the triton binding energy turns out to be 8.14
MeV with a charge-dependence correction of the two-nucleon force, 190 keV,
being included. This indicates that about 350 keV is left for the energy which
is to be accounted for by three-body forces.
| nucl-th | previously we calculated the binding energies of the triton and hypertriton using an su_6 quarkmodel interaction derived from a resonatinggroup method of two baryon clusters in contrast to the previous calculations employing the energydependent interaction kernel we present new results using a renormalized interaction which is now energy independent and reserves all the twobaryon data the new binding energies are slightly smaller than the previous values in particular the triton binding energy turns out to be 814 mev with a chargedependence correction of the twonucleon force 190 kev being included this indicates that about 350 kev is left for the energy which is to be accounted for by threebody forces | [['previously', 'we', 'calculated', 'the', 'binding', 'energies', 'of', 'the', 'triton', 'and', 'hypertriton', 'using', 'an', 'su_6', 'quarkmodel', 'interaction', 'derived', 'from', 'a', 'resonatinggroup', 'method', 'of', 'two', 'baryon', 'clusters', 'in', 'contrast', 'to', 'the', 'previous', 'calculations', 'employing', 'the', 'energydependent', 'interaction', 'kernel', 'we', 'present', 'new', 'results', 'using', 'a', 'renormalized', 'interaction', 'which', 'is', 'now', 'energy', 'independent', 'and', 'reserves', 'all', 'the', 'twobaryon', 'data', 'the', 'new', 'binding', 'energies', 'are', 'slightly', 'smaller', 'than', 'the', 'previous', 'values', 'in', 'particular', 'the', 'triton', 'binding', 'energy', 'turns', 'out', 'to', 'be', '814', 'mev', 'with', 'a', 'chargedependence', 'correction', 'of', 'the', 'twonucleon', 'force', '190', 'kev', 'being', 'included', 'this', 'indicates', 'that', 'about', '350', 'kev', 'is', 'left', 'for', 'the', 'energy', 'which', 'is', 'to', 'be', 'accounted', 'for', 'by', 'threebody', 'forces']] | [-0.0524840654974634, 0.1881545378245805, -0.08996800064447928, 0.13840967427134854, -0.010512254858357746, -0.10583870547548445, 0.04279727917587892, 0.35886715203523634, -0.18620594948191535, -0.33787290791726926, -0.04819051880939779, -0.3434347786009312, -0.0019188920110040767, 0.17189517865931106, 0.09174462642351335, 0.013161292825746138, 0.07661299251485616, 0.04364687942645767, -0.046504398098808124, -0.18633368251797616, 0.2993798324160955, 0.12643936759876934, 0.17270183084871282, 0.1772135944867676, 0.020608658552042802, 0.012474007462085204, 0.018493327486992877, -0.020991067080335185, -0.16335309934147518, 0.10835474550311285, 0.21358450341451152, -0.010843820910734145, 0.1967823744497516, -0.36490091730586505, -0.19238805773308162, 0.0861934757114134, 0.13607415657236493, 0.13908307222776453, -0.014534724203721535, -0.29625276716595345, 0.04800769933499396, -0.22900065880438145, -0.13754297094419599, -0.07933342073282057, 0.023270200667056172, 0.04378723332404413, -0.27171711379831487, 0.13384135101117534, -0.03737226175144315, 0.021097988560623806, -0.16908663654784586, -0.23427066444842654, -0.020416658464819194, 0.07053159248845821, 0.05099368452052162, 0.08848358164964752, 0.1456376939503984, -0.0587551274061711, -0.04929832697591998, 0.40650937083092603, -0.032604672508552375, -0.1277716689658436, 0.1311906461773271, -0.09921286776238544, -0.11984889109259132, 0.19532346935011446, 0.07366594195958566, 0.08507570676910374, -0.2386923292482441, 0.06197486944729462, 0.005923412583599037, 0.24456903715512124, 0.09050832573239777, -0.009981808815659448, 0.13439532641416668, 0.14802152492656287, 0.009271725250238722, 0.06725802497345615, -0.13185064960694448, -0.09756047932685098, -0.29048357031900773, -0.05400039758321575, -0.18304164816138588, 0.05021215476603671, -0.0437370816327695, -0.07422731796872209, 0.36684023565612733, 0.11456398494456979, 0.20993210636925969, 0.03769945441533557, 0.2972584469243884, 0.1318453287801028, 0.13429880035109817, 0.07985216142736715, 0.3274196141145446, 0.11632551436778157, 0.06298075675625693, -0.23858204520180482, -0.007287163071503694, 0.04230673838914795] |
710.0048 | Modeling Diffusive Dynamics in Adaptive Resolution Simulation of Liquid
Water | We present a dual-resolution molecular dynamics (MD) simulation of liquid
water employing a recently introduced Adaptive Resolution Scheme (AdResS). The
spatially adaptive molecular resolution procedure allows for changing from a
coarse-grained to an all-atom representation and vice-versa on-the-fly. In
order to find the most appropriate coarse-grained water model to be employed
with AdResS we first study the accuracy of different coarse-grained water
models in reproducing the structural properties of the all-atom system.
Typically, coarse-grained molecular models have a higher diffusion constant
than the corresponding all-atom models due to the reduction in degrees of
freedom (DOFs) upon coarse-graining that eliminates the fluctuating forces
associated with those integrated-out molecular DOFs. Here, we introduce the
methodology to obtain the same diffusional dynamics across different
resolutions. We show that this approach leads to the correct description of
essential thermodynamic, structural and dynamical properties of liquid water at
ambient conditions.
| cond-mat.soft cond-mat.stat-mech | we present a dualresolution molecular dynamics md simulation of liquid water employing a recently introduced adaptive resolution scheme adress the spatially adaptive molecular resolution procedure allows for changing from a coarsegrained to an allatom representation and viceversa onthefly in order to find the most appropriate coarsegrained water model to be employed with adress we first study the accuracy of different coarsegrained water models in reproducing the structural properties of the allatom system typically coarsegrained molecular models have a higher diffusion constant than the corresponding allatom models due to the reduction in degrees of freedom dofs upon coarsegraining that eliminates the fluctuating forces associated with those integratedout molecular dofs here we introduce the methodology to obtain the same diffusional dynamics across different resolutions we show that this approach leads to the correct description of essential thermodynamic structural and dynamical properties of liquid water at ambient conditions | [['we', 'present', 'a', 'dualresolution', 'molecular', 'dynamics', 'md', 'simulation', 'of', 'liquid', 'water', 'employing', 'a', 'recently', 'introduced', 'adaptive', 'resolution', 'scheme', 'adress', 'the', 'spatially', 'adaptive', 'molecular', 'resolution', 'procedure', 'allows', 'for', 'changing', 'from', 'a', 'coarsegrained', 'to', 'an', 'allatom', 'representation', 'and', 'viceversa', 'onthefly', 'in', 'order', 'to', 'find', 'the', 'most', 'appropriate', 'coarsegrained', 'water', 'model', 'to', 'be', 'employed', 'with', 'adress', 'we', 'first', 'study', 'the', 'accuracy', 'of', 'different', 'coarsegrained', 'water', 'models', 'in', 'reproducing', 'the', 'structural', 'properties', 'of', 'the', 'allatom', 'system', 'typically', 'coarsegrained', 'molecular', 'models', 'have', 'a', 'higher', 'diffusion', 'constant', 'than', 'the', 'corresponding', 'allatom', 'models', 'due', 'to', 'the', 'reduction', 'in', 'degrees', 'of', 'freedom', 'dofs', 'upon', 'coarsegraining', 'that', 'eliminates', 'the', 'fluctuating', 'forces', 'associated', 'with', 'those', 'integratedout', 'molecular', 'dofs', 'here', 'we', 'introduce', 'the', 'methodology', 'to', 'obtain', 'the', 'same', 'diffusional', 'dynamics', 'across', 'different', 'resolutions', 'we', 'show', 'that', 'this', 'approach', 'leads', 'to', 'the', 'correct', 'description', 'of', 'essential', 'thermodynamic', 'structural', 'and', 'dynamical', 'properties', 'of', 'liquid', 'water', 'at', 'ambient', 'conditions']] | [-0.08797054594254185, 0.1002660950783295, -0.1240853823111232, 0.02379752974074077, 0.0006612851477131762, -0.11899644437422655, 0.010329962416616236, 0.38197152054515376, -0.2730042143508085, -0.31585522037930785, 0.02511943865583503, -0.19010029971802303, -0.15899519843113577, 0.09096563837234059, -0.00780573721236453, 0.056872606839470825, 0.053984741776667795, -0.04114515486269676, -0.08776402344991421, -0.18813357688647148, 0.24917258185430846, 0.13044205257219488, 0.25434729114239074, 0.024015825037876595, 0.17463912906382104, -0.040495898300011095, -0.016467235651637973, 0.01924227643115767, -0.21962971022515157, 0.14889524530073436, 0.22286439685746606, 0.045043643034095394, 0.24648244870376998, -0.48458744343370197, -0.2832747344064109, 0.0381301986727992, 0.10878151021897793, 0.19157183141576062, 0.023240774124860763, -0.2335150772191841, 0.0692300444757887, -0.17273193960045946, -0.1620342091865966, -0.14374381902402844, -0.06986667023778989, 0.041425505641382185, -0.2223624306554296, 0.1136191954932593, -0.010195055836209513, 0.11488633659700381, -0.08787296215144531, -0.10141185567280728, -0.02934934630797341, 0.11450021074249826, -0.027053669079784945, 0.0018135966556467886, 0.18464968364167927, -0.14629621745271865, -0.07022111228313939, 0.413316455676124, -0.07655226464015993, -0.2519934991888445, 0.2884372468202792, -0.10766800822898874, -0.1601764310633057, 0.19818629824941786, 0.13243854891123444, 0.11979000476863363, -0.18968225569817526, 0.022727654330785677, 0.002843174579200046, 0.21325842228814446, 0.06242336319309884, 0.03335170477050645, 0.16234399212588524, 0.1951007012470529, 0.03024957394709104, 0.1496923163910557, -0.10193654916867421, -0.17873752393984588, -0.23705093312109338, -0.1604838523692612, -0.14368990023202938, 0.03923966621915842, -0.10276390780706826, -0.11107380627172775, 0.360218549085503, 0.20680950622250935, 0.13919264112261992, 0.04892290229728478, 0.2834038908207982, 0.04184794880706688, 0.0500423637812893, 0.02563238444513288, 0.1676711420881851, 0.10428266609248159, 0.09020261178435436, -0.29379375546785264, 0.05632186223780897, 0.07691454786550382] |
710.0049 | On equivariant mirror symmetry for local P^2 | We solve the problem of equivariant mirror symmetry for O(-3)->P^2 for the
(three) cases of one independent equivariant parameter. This gives a
decomposition of mirror symmetry for local P^2 into that of three subspaces,
each of which may be considered independently. Finally, we give a new
interpretation of mirror symmetry for O(k)+O(-2-k)->P^1.
| math.AG hep-th | we solve the problem of equivariant mirror symmetry for o3p2 for the three cases of one independent equivariant parameter this gives a decomposition of mirror symmetry for local p2 into that of three subspaces each of which may be considered independently finally we give a new interpretation of mirror symmetry for oko2kp1 | [['we', 'solve', 'the', 'problem', 'of', 'equivariant', 'mirror', 'symmetry', 'for', 'o3p2', 'for', 'the', 'three', 'cases', 'of', 'one', 'independent', 'equivariant', 'parameter', 'this', 'gives', 'a', 'decomposition', 'of', 'mirror', 'symmetry', 'for', 'local', 'p2', 'into', 'that', 'of', 'three', 'subspaces', 'each', 'of', 'which', 'may', 'be', 'considered', 'independently', 'finally', 'we', 'give', 'a', 'new', 'interpretation', 'of', 'mirror', 'symmetry', 'for', 'oko2kp1']] | [-0.15562227273359894, 0.09366652121767402, -0.13131719276309015, 0.05542356661288068, -0.08413516368716956, -0.2016281651891768, 0.0033966107107698917, 0.3123510617017746, -0.29587639139033856, -0.2621963689848781, 0.13764183644205333, -0.17242447167634964, -0.10939492642879486, 0.18393301900476217, -0.0855038912082091, 0.004567212928086519, -0.005958078568801284, 0.03048951007425785, -0.10909712177235634, -0.23942581494688056, 0.38019066661596296, -0.05244791010394692, 0.23543605603277684, 0.02332912086509168, 0.14627378318458795, 0.04000561220571399, 0.021426462419331074, -0.014966172596650722, -0.1005534328900103, 0.15233203384792432, 0.2313000046927482, 0.0952771002856025, 0.17650282066315412, -0.4253254143893719, -0.15830823517404496, 0.14066592548042536, 0.1682463231589645, 0.1310329080815427, -0.06833124468568713, -0.24670146141201257, 0.10865369270555675, -0.13269292835146188, -0.195359214451164, -0.08008846402168274, 0.009220958342775703, -0.03758882984519005, -0.3042300971597433, 0.024062350327149033, 0.10830241474322974, 0.056771048121154306, -0.10294373810291291, -0.11599276851397007, -0.022258512564003467, 0.11352325504645705, 0.08211618130328134, -0.031781535986810924, 0.042636314032133665, -0.09796696315985173, -0.12197366183623672, 0.41580142311751844, 0.005964679749449715, -0.24086262777913361, 0.08933354772627354, -0.06462550517171621, -0.24819827515631915, 0.10147367358207703, 0.1382179971039295, 0.11308308960869909, -0.047304104864597324, 0.07299407714977861, -0.12394809812307357, 0.09721507348120212, 0.06383741073310376, 0.01717067482881248, 0.16880325851030648, 0.09087888941168785, 0.1505238403833937, 0.18858093758812175, -0.05370004333555698, -0.06859249480068684, -0.39006137385964396, -0.20932156786322595, -0.12708808794617654, 0.06473207984119654, -0.1107157945074141, -0.12679550513625146, 0.4890446451678872, 0.08873919126810506, 0.24469233490526676, 0.03838154504308477, 0.2469959643483162, 0.0870354813709855, 0.03677689164527692, -0.036875685807317496, 0.24104208728298546, 0.1265820306353271, -0.026829721685498954, -0.20806926984805613, -0.06617966029793024, 0.1671472445037216] |
710.005 | Combinatorial Stokes formulas via minimal resolutions | We describe an explicit chain map from the standard resolution to the minimal
resolution for the finite cyclic group Z_k of order k. We then demonstrate how
such a chain map induces a "Z_k-combinatorial Stokes theorem", which in turn
implies "Dold's theorem" that there is no equivariant map from an n-connected
to an n-dimensional free Z_k-complex.
Thus we build a combinatorial access road to problems in combinatorics and
discrete geometry that have previously been treated with methods from
equivariant topology. The special case k=2 for this is classical; it involves
Tucker's (1949) combinatorial lemma which implies the Borsuk-Ulam theorem, its
proof via chain complexes by Lefschetz (1949), the combinatorial Stokes formula
of Fan (1967), and Meunier's work (2006).
| math.CO math.AT | we describe an explicit chain map from the standard resolution to the minimal resolution for the finite cyclic group z_k of order k we then demonstrate how such a chain map induces a z_kcombinatorial stokes theorem which in turn implies dolds theorem that there is no equivariant map from an nconnected to an ndimensional free z_kcomplex thus we build a combinatorial access road to problems in combinatorics and discrete geometry that have previously been treated with methods from equivariant topology the special case k2 for this is classical it involves tuckers 1949 combinatorial lemma which implies the borsukulam theorem its proof via chain complexes by lefschetz 1949 the combinatorial stokes formula of fan 1967 and meuniers work 2006 | [['we', 'describe', 'an', 'explicit', 'chain', 'map', 'from', 'the', 'standard', 'resolution', 'to', 'the', 'minimal', 'resolution', 'for', 'the', 'finite', 'cyclic', 'group', 'z_k', 'of', 'order', 'k', 'we', 'then', 'demonstrate', 'how', 'such', 'a', 'chain', 'map', 'induces', 'a', 'z_kcombinatorial', 'stokes', 'theorem', 'which', 'in', 'turn', 'implies', 'dolds', 'theorem', 'that', 'there', 'is', 'no', 'equivariant', 'map', 'from', 'an', 'nconnected', 'to', 'an', 'ndimensional', 'free', 'z_kcomplex', 'thus', 'we', 'build', 'a', 'combinatorial', 'access', 'road', 'to', 'problems', 'in', 'combinatorics', 'and', 'discrete', 'geometry', 'that', 'have', 'previously', 'been', 'treated', 'with', 'methods', 'from', 'equivariant', 'topology', 'the', 'special', 'case', 'k2', 'for', 'this', 'is', 'classical', 'it', 'involves', 'tuckers', '1949', 'combinatorial', 'lemma', 'which', 'implies', 'the', 'borsukulam', 'theorem', 'its', 'proof', 'via', 'chain', 'complexes', 'by', 'lefschetz', '1949', 'the', 'combinatorial', 'stokes', 'formula', 'of', 'fan', '1967', 'and', 'meuniers', 'work', '2006']] | [-0.10268194687448377, 0.04019241720969399, -0.12802037772931288, 0.07690875561494412, -0.10430638350803277, -0.15664933324823604, 0.04945334854760561, 0.3258982386383838, -0.35233916843346125, -0.2515720225176132, 0.11493497175979428, -0.21967506373566092, -0.1815945651896041, 0.21094052065156324, -0.17957296208398224, -0.015210996406526177, 0.05900740248737214, 0.03865285583868109, -0.030264041750656202, -0.22677814614194333, 0.3081037659912595, 0.012958107951723424, 0.2335643961258907, 0.0761894330679407, 0.14088334570687008, 0.07087405164453105, -0.03865825638961818, -0.007861828929262942, -0.18747925971585008, 0.10780280152263505, 0.27329770934864367, 0.0867738997692178, 0.19211227468471845, -0.38153722410186613, -0.17168523542430444, 0.1761070194710367, 0.10624403199823253, 0.09674781742144441, 0.007152989803781283, -0.25313558895341604, 0.10426190576178888, -0.15286433195960225, -0.16369176503864985, -0.05733752710712624, 0.04215032355217584, -0.007627415001103333, -0.24556189688757576, 0.005153787426714753, 0.17439720323229016, 0.12228475001255243, -0.005351558962941234, -0.07803749098795755, -0.03136933466684523, 0.10477253247518092, 0.012307345927371803, 0.06438788937019377, 0.05663171133170996, -0.06620608178441059, -0.15867643672089768, 0.3477683488504383, -0.021832756498419068, -0.18824630444227108, 0.13826039832904294, -0.08515025671282463, -0.20200906465520505, 0.1665728959437572, 0.04211172509681562, 0.15161298970483114, -0.08048609078958116, 0.19614811359547432, -0.17285632401110668, 0.12674277934149422, 0.13511162768379015, -0.03672822944294051, 0.11699132742922239, 0.050811276626612605, 0.12591706033482955, 0.17853125885674923, -0.03908788736062606, -0.09934884953063688, -0.2843889216892421, -0.18137163104457332, -0.1836851506498, 0.15854771485841224, -0.10840262702625077, -0.17413934803535713, 0.3389397107650815, 0.08255406721986187, 0.15539099113485808, 0.0795410718780878, 0.23675945857218628, 0.10284023039476496, 0.021972411328220164, 0.05565998264074583, 0.1320679190705113, 0.23745446669636294, 0.06094627756954588, -0.1202368956302084, -0.032907803382339146, 0.2423772489619923] |
710.0051 | Doubly heavy baryon production at polarized photon collider | We study the inclusive production of doubly heavy baryon $\Xi_{cc}$ at
polarized photon collider. Our results show that proper choice of the initial
beam polarizations may increase the production rate of $\Xi_{cc}$ approximately
10%.
| hep-ph | we study the inclusive production of doubly heavy baryon xi_cc at polarized photon collider our results show that proper choice of the initial beam polarizations may increase the production rate of xi_cc approximately 10 | [['we', 'study', 'the', 'inclusive', 'production', 'of', 'doubly', 'heavy', 'baryon', 'xi_cc', 'at', 'polarized', 'photon', 'collider', 'our', 'results', 'show', 'that', 'proper', 'choice', 'of', 'the', 'initial', 'beam', 'polarizations', 'may', 'increase', 'the', 'production', 'rate', 'of', 'xi_cc', 'approximately', '10']] | [-0.10213239249424078, 0.2850193223943386, -0.04769193349570474, 0.10543105449965771, -0.0027798615012537033, -0.09257007609395419, 0.07989699700299431, 0.32588383862200904, -0.18492782981518438, -0.23755844309926033, -0.06270086613264592, -0.3946060052908519, 0.15160007205079584, 0.14916495869264884, 0.11892742981367252, 0.10679895003490589, 0.1858528545126319, -0.03142780040883843, 0.018833229927729594, -0.28754199416760134, 0.28835922572761774, 0.09068645350635052, 0.2806648861288148, 0.16557189986548004, 0.08754729741143391, 0.05940191021791714, -0.044963752724202895, -0.0709515544859802, -0.11527932099146282, 0.10842447751886486, 0.2088317779057166, 0.12581744927036412, 0.12863135644618204, -0.29495953483616605, -0.049262409865417904, 0.16015463267617366, 0.16096401313210235, 0.20867115571437514, -0.11183883371995762, -0.22216070451609352, 0.127761829575962, -0.26268520033644405, -0.18947285145302029, -0.03194746484651285, 0.007606439949835048, 0.02356595978113439, -0.34669156427330833, 0.11988022079800859, -0.1161309273173923, -0.0160553468089989, 0.009071649463080308, -0.25460564293076887, -0.1397965750177665, -0.09878375192227609, 0.13667282327900038, 0.0963677796877592, 0.23089680509806118, -0.12871844672104893, -0.22654370618436268, 0.34986517583841786, -0.12079292316647137, -0.09748273257933118, 0.06348686673514106, -0.2994086221956155, -0.15163624360609582, 0.17572496091837392, 0.31736072777386976, 0.12431577089078286, -0.13192976364756331, 0.0039219140787335, -0.033908848936655835, 0.20744668647153852, 0.15647145834587076, 0.12116393530467416, 0.21426158896921313, 0.2182106203673517, -0.00773022767594632, 0.05015355987501714, -0.11353936648982413, -0.011420809335130103, -0.44491227738120975, -0.12056989163187716, -0.030344064402229646, 0.12399821744903046, -0.04469492968500537, -0.01818695220658008, 0.3649137079277459, 0.03345376868417267, 0.2542183325790307, -0.008120945956119719, 0.3055018295862657, 0.09328159575199928, -0.0033359611706520595, 0.05680545831145376, 0.33935695130597143, 0.19285424445372293, 0.14744079872445368, -0.3392656368806082, 0.039032405392978996, -0.04242289756589076] |
710.0052 | Influence of a small perturbation on Poincare-Andronov operators with
not well defined topological degree | Let $P_e\in C^0(R^n,R^n)$ be the Poincare-Andronov operator over period $T>0$
of the $T$-periodically perturbed autonomous system $x'=f(x)+e g(t,x,e),$ where
$e>0$ is small. Assuming that for $e=0$ this system has a $T$-periodic limit
cycle $x_0$ we evaluate the topological degree $d(I-P_e,U)$ of $I-P_e$ on an
open bounded set $U$ whose boundary contains $x_0([0,T])$ and does not contain
other fixed points of $P_0.$ We give an explicit formula connecting
$d(I-P_e,U)$ with topological indexes of zeros of the associated Malkin's
bifurcation function. The goal of the paper is to prove Mawhin's conjecture
which claims that $d(I-P_e,U)$ can be any integer in spite of the fact that the
measure of the set of fixed points of $P_0$ on $\partial U$ is zero.
| math.CA | let p_ein c0rnrn be the poincareandronov operator over period t0 of the tperiodically perturbed autonomous system xfxe gtxe where e0 is small assuming that for e0 this system has a tperiodic limit cycle x_0 we evaluate the topological degree dip_eu of ip_e on an open bounded set u whose boundary contains x_00t and does not contain other fixed points of p_0 we give an explicit formula connecting dip_eu with topological indexes of zeros of the associated malkins bifurcation function the goal of the paper is to prove mawhins conjecture which claims that dip_eu can be any integer in spite of the fact that the measure of the set of fixed points of p_0 on partial u is zero | [['let', 'p_ein', 'c0rnrn', 'be', 'the', 'poincareandronov', 'operator', 'over', 'period', 't0', 'of', 'the', 'tperiodically', 'perturbed', 'autonomous', 'system', 'xfxe', 'gtxe', 'where', 'e0', 'is', 'small', 'assuming', 'that', 'for', 'e0', 'this', 'system', 'has', 'a', 'tperiodic', 'limit', 'cycle', 'x_0', 'we', 'evaluate', 'the', 'topological', 'degree', 'dip_eu', 'of', 'ip_e', 'on', 'an', 'open', 'bounded', 'set', 'u', 'whose', 'boundary', 'contains', 'x_00t', 'and', 'does', 'not', 'contain', 'other', 'fixed', 'points', 'of', 'p_0', 'we', 'give', 'an', 'explicit', 'formula', 'connecting', 'dip_eu', 'with', 'topological', 'indexes', 'of', 'zeros', 'of', 'the', 'associated', 'malkins', 'bifurcation', 'function', 'the', 'goal', 'of', 'the', 'paper', 'is', 'to', 'prove', 'mawhins', 'conjecture', 'which', 'claims', 'that', 'dip_eu', 'can', 'be', 'any', 'integer', 'in', 'spite', 'of', 'the', 'fact', 'that', 'the', 'measure', 'of', 'the', 'set', 'of', 'fixed', 'points', 'of', 'p_0', 'on', 'partial', 'u', 'is', 'zero']] | [-0.23790711333119385, 0.10340862585675299, -0.08363455810021979, -0.029470047265341557, -0.047287620771844105, -0.1371042102969646, 0.05559784538313948, 0.29028743207622487, -0.27590241929230924, -0.205258433866474, 0.10996605592388094, -0.31766025270838794, -0.12634885777627025, 0.17306043687570202, -0.09701756898498347, 0.028651161169683612, 0.05749803080710138, 0.13390899368201023, -0.0535090293773022, -0.2338468621711473, 0.37537239928234806, -0.08137534877604193, 0.1633749605148091, 0.07800571051182913, 0.11724967642179648, -0.0037503979076539073, 0.044451054599637434, -0.009145073167904205, -0.16034872705626316, 0.060568978099639084, 0.23395263866798297, 0.11966187487301828, 0.2549990455510917, -0.3632709933193149, -0.14674697655068525, 0.21535864953153036, 0.14888104280091924, 0.030136488928660953, 0.02836919140473411, -0.2575476006898391, 0.1803042834020547, -0.11609396117706343, -0.21963314287498728, -0.03198223403310991, 0.09909651173396153, 0.044367092802097, -0.2863865758560866, 0.027058308633665245, 0.09077873617318366, 0.09958633489546005, -0.08497175481170416, -0.12462523238322286, -0.08037400343832937, 0.11835863650147174, 0.029818076290072756, 0.10490898764587368, 0.035696307977510465, -0.06544565949042334, -0.08717549549046534, 0.3353778775865296, -0.07079394506961778, -0.20358680859669573, 0.12554097019958202, -0.1788668794859503, -0.11327609148816215, 0.11841583522120575, 0.10536330833460565, 0.11774027553126887, -0.07722289288030551, 0.18950657375305807, -0.10909593060532971, 0.1643015384277631, 0.09262696442169112, -0.0009031142475217715, 0.17548585271143968, 0.09211832612148814, 0.16778859681751881, 0.11432950065926405, -0.03095761140617584, -0.06228730777228201, -0.3825413518509752, -0.1248849508906337, -0.2304735283832997, 0.12595825796951604, -0.10750711052209193, -0.22862554811411076, 0.36872196407267105, 0.11849321019237961, 0.21714233509726352, 0.053441218453929296, 0.1961121408201687, 0.20211268698629872, 0.004340696968332243, 0.09491095444825184, 0.13671540325981574, 0.10618353774980852, 0.024166358671537054, -0.19560886431183364, 0.05855178606469889, 0.1188910238444543] |
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