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711.0808 | Supernovae in Low-Redshift Galaxy Clusters: Observations by the Wise
Observatory Optical Transient Search (WOOTS) | We describe the Wise Observatory Optical Transient Search (WOOTS), a survey
for supernovae (SNe) and other variable and transient objects in the fields of
redshift 0.06-0.2 Abell galaxy clusters. We present the survey design and
data-analysis procedures, and our object detection and follow-up strategies. We
have obtained follow-up spectroscopy for all viable SN candidates, and present
the resulting SN sample here. Out of the 12 SNe we have discovered, seven are
associated with our target clusters while five are foreground or background
field events. All but one of the SNe (a foreground field event) are Type Ia
SNe. Our non-cluster SN sample is uniquely complete, since all SN candidates
have been either spectroscopically confirmed or ruled out. This allows us to
estimate that flux-limited surveys similar to WOOTS would be dominated (~80%)
by SNe Ia. Our spectroscopic follow-up observations also elucidate the
difficulty in distinguishing active galactic nuclei from SNe. In separate
papers we use the WOOTS sample to derive the SN rate in clusters for this
redshift range, and to measure the fraction of intergalactic cluster SNe. We
also briefly report here on some quasars and asteroids discovered by WOOTS.
| astro-ph | we describe the wise observatory optical transient search woots a survey for supernovae sne and other variable and transient objects in the fields of redshift 00602 abell galaxy clusters we present the survey design and dataanalysis procedures and our object detection and followup strategies we have obtained followup spectroscopy for all viable sn candidates and present the resulting sn sample here out of the 12 sne we have discovered seven are associated with our target clusters while five are foreground or background field events all but one of the sne a foreground field event are type ia sne our noncluster sn sample is uniquely complete since all sn candidates have been either spectroscopically confirmed or ruled out this allows us to estimate that fluxlimited surveys similar to woots would be dominated 80 by sne ia our spectroscopic followup observations also elucidate the difficulty in distinguishing active galactic nuclei from sne in separate papers we use the woots sample to derive the sn rate in clusters for this redshift range and to measure the fraction of intergalactic cluster sne we also briefly report here on some quasars and asteroids discovered by woots | [['we', 'describe', 'the', 'wise', 'observatory', 'optical', 'transient', 'search', 'woots', 'a', 'survey', 'for', 'supernovae', 'sne', 'and', 'other', 'variable', 'and', 'transient', 'objects', 'in', 'the', 'fields', 'of', 'redshift', '00602', 'abell', 'galaxy', 'clusters', 'we', 'present', 'the', 'survey', 'design', 'and', 'dataanalysis', 'procedures', 'and', 'our', 'object', 'detection', 'and', 'followup', 'strategies', 'we', 'have', 'obtained', 'followup', 'spectroscopy', 'for', 'all', 'viable', 'sn', 'candidates', 'and', 'present', 'the', 'resulting', 'sn', 'sample', 'here', 'out', 'of', 'the', '12', 'sne', 'we', 'have', 'discovered', 'seven', 'are', 'associated', 'with', 'our', 'target', 'clusters', 'while', 'five', 'are', 'foreground', 'or', 'background', 'field', 'events', 'all', 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711.0809 | On the ternary complex analysis and its applications | Previouly a possible extension of the complex number, together with its
connected trigonometry was introduced. In this paper we focuss on the simplest
case of ternary complex numbers. Then, some types of holomorphicity adapted to
the ternary complex numbers and the corresponding results upon integration of
differential forms are given. Several physical applications are given, and in
particuler one type of holomorphic function gives rise to a new form of
stationary magnetic field. The movement of a monopole type object in this field
is then studied and shown to be integrable. The monopole scattering in the
ternary field is finally studied.
| math-ph hep-th math.MP | previouly a possible extension of the complex number together with its connected trigonometry was introduced in this paper we focuss on the simplest case of ternary complex numbers then some types of holomorphicity adapted to the ternary complex numbers and the corresponding results upon integration of differential forms are given several physical applications are given and in particuler one type of holomorphic function gives rise to a new form of stationary magnetic field the movement of a monopole type object in this field is then studied and shown to be integrable the monopole scattering in the ternary field is finally studied | [['previouly', 'a', 'possible', 'extension', 'of', 'the', 'complex', 'number', 'together', 'with', 'its', 'connected', 'trigonometry', 'was', 'introduced', 'in', 'this', 'paper', 'we', 'focuss', 'on', 'the', 'simplest', 'case', 'of', 'ternary', 'complex', 'numbers', 'then', 'some', 'types', 'of', 'holomorphicity', 'adapted', 'to', 'the', 'ternary', 'complex', 'numbers', 'and', 'the', 'corresponding', 'results', 'upon', 'integration', 'of', 'differential', 'forms', 'are', 'given', 'several', 'physical', 'applications', 'are', 'given', 'and', 'in', 'particuler', 'one', 'type', 'of', 'holomorphic', 'function', 'gives', 'rise', 'to', 'a', 'new', 'form', 'of', 'stationary', 'magnetic', 'field', 'the', 'movement', 'of', 'a', 'monopole', 'type', 'object', 'in', 'this', 'field', 'is', 'then', 'studied', 'and', 'shown', 'to', 'be', 'integrable', 'the', 'monopole', 'scattering', 'in', 'the', 'ternary', 'field', 'is', 'finally', 'studied']] | [-0.1681549161847215, 0.09954854830983095, -0.03963222512044012, 0.07505037190509029, -0.11360816770698876, -0.0974285245127976, -0.021697189699625596, 0.3268918923102319, -0.27568626338616015, -0.25648091778391974, 0.08341436724644154, -0.23383483942598104, -0.22124635910149665, 0.2302486283518374, -0.06369384256191551, 0.026896248737466523, -0.024256105503300204, 0.12674561992986128, -0.08411409740394447, -0.2689809179957956, 0.37938312757760284, -0.01661533857230097, 0.20281941312598065, 0.026786470152437687, 0.08936369727831334, 0.0016591658955439925, -0.01862861357512884, 0.05264736637007445, -0.12205850010272115, 0.1433801510790363, 0.21596501788124442, 0.07258445921819658, 0.19208705384284258, -0.4064052343275398, -0.17384577616117894, 0.11646365850232542, 0.11999240268021821, 0.0839389791013673, -0.06183482761844061, -0.24802511716028675, 0.09022049932740629, -0.15691289325244726, -0.16777471927925944, -0.07566881522070616, 0.0397629854164552, 0.06604721805430018, -0.26049495350569485, 0.0074150469666346905, 0.06992156049236656, 0.0650253808661364, -0.08904857065645047, -0.10819393667625263, -0.009949926817789674, 0.07596764496061952, 0.026569654550403356, 0.03380956206005067, 0.06759892588946968, -0.12291958329733461, -0.1134239837899804, 0.35543104554992166, -0.01770132914476562, -0.24381526052951813, 0.18959041823633016, -0.12822800054214895, -0.1544067425094545, 0.14721321744378657, 0.15219731495715677, 0.12840968418866397, -0.12813773742876947, 0.13199400464829522, -0.05063552840612829, 0.11472772962413728, 0.10589052326977252, 0.0005172142945230007, 0.17789056535810233, 0.15550773596391082, 0.02010315012303181, 0.17110927715082652, -0.05607153807999566, -0.12073054954002145, -0.30510018232744185, -0.2090687714982778, -0.1531118922587484, 0.08626347516546957, -0.04944313291882281, -0.19344155106780817, 0.42516471792710947, 0.0856479311734438, 0.20742608910426497, 0.012513431292027234, 0.21690860152477398, 0.1244410700071603, 0.06588216090109199, -0.003116432635579258, 0.1862676626970642, 0.21537762670079247, 0.09605752854607999, -0.15556472156196832, -0.006017853026278317, 0.09035244172438979] |
711.081 | Variant of the Clauser-Horne-Shimony-Holt inequality | We construct a Bell inequality from the Clauser-Horne-Shimony-Holt inequality
for two qubits that provides a stronger bound on the correlations of entangled
states than allowed by the CHSH inequality. The argument involved here can be
generalized to $n$ qubits. The inequalities obtained are violated by all the
generalized Greenberger-Horne-Zeilinger states of multiqubits.
| quant-ph | we construct a bell inequality from the clauserhorneshimonyholt inequality for two qubits that provides a stronger bound on the correlations of entangled states than allowed by the chsh inequality the argument involved here can be generalized to n qubits the inequalities obtained are violated by all the generalized greenbergerhornezeilinger states of multiqubits | [['we', 'construct', 'a', 'bell', 'inequality', 'from', 'the', 'clauserhorneshimonyholt', 'inequality', 'for', 'two', 'qubits', 'that', 'provides', 'a', 'stronger', 'bound', 'on', 'the', 'correlations', 'of', 'entangled', 'states', 'than', 'allowed', 'by', 'the', 'chsh', 'inequality', 'the', 'argument', 'involved', 'here', 'can', 'be', 'generalized', 'to', 'n', 'qubits', 'the', 'inequalities', 'obtained', 'are', 'violated', 'by', 'all', 'the', 'generalized', 'greenbergerhornezeilinger', 'states', 'of', 'multiqubits']] | [-0.1470731920025383, 0.2310021203190375, -0.06646239170088218, 0.15039328161555415, 0.031215454048763674, -0.33344050294433075, 0.08600531907107395, 0.23261001920148444, -0.19129685065728644, -0.3220309708983852, 0.02453900684710019, -0.3097498287858728, -0.04616124641884548, 0.24125297016535813, -0.01999889191490813, 0.09367652991428398, 0.05341109969259168, -0.005763045153938807, -0.0821783680943414, -0.29109194960731727, 0.3462589848517942, -0.05198006910862974, 0.28301483240480035, 0.045422498835250735, 0.05086556309834123, 0.01761638305078332, 0.10057549923658371, 0.009581775583613377, -0.14416313825621238, 0.20125077251801626, 0.21820809566774046, 0.22490528092468873, 0.2642524061867824, -0.4388648880502352, -0.111508045775386, 0.15521192715431636, 0.09896193662335953, 0.15102749393106654, 0.04468509540311061, -0.41264720069459426, -0.05570200875473137, -0.14768321600814277, -0.1509990464681043, -0.11836073094477448, -0.02731827761454042, -0.055646837286006376, -0.31802892624042356, 0.20355811711544028, 0.08129907093154123, -0.037654754255737104, 0.025120339365317844, -0.05028198278831461, 0.009783411900011392, -0.0006850039622244927, -0.07573433592915535, -0.03998637283579088, 0.08361567407309149, -0.026960502387597583, -0.222188158139873, 0.24827023978846577, 0.005936446459460198, -0.2524235579543389, 0.08353386688619278, -0.14257241275985366, -0.1614816753157916, -0.02942694084217342, 0.08142985235183285, 0.11909975104320508, -0.1360961381534043, 0.028322760517207477, -0.1501942984132956, 0.19098978001140773, 0.12958759523462504, 0.1847876184978164, 0.04789977065789012, -0.03870786658416574, 0.15885021172177333, 0.24195805352960284, -0.004309543968142511, -0.11387789055096129, -0.3813541755080223, -0.22078327085630287, -0.32336273302476354, 0.17433668637218383, -0.1331080142319059, 0.0028088055909253084, 0.3468603100627661, 0.0387092728051357, 0.08944963795847098, 0.05030051412848899, 0.1755307010965995, 0.1052204141787325, 0.09438335638529119, 0.06626761726175363, 0.32541330710340005, 0.20506640805755383, 0.024310701822217267, -0.17184305069699454, 0.12742616461876494, 0.09191662008659197] |
711.0811 | Combined Acoustic and Pronunciation Modelling for Non-Native Speech
Recognition | In this paper, we present several adaptation methods for non-native speech
recognition. We have tested pronunciation modelling, MLLR and MAP non-native
pronunciation adaptation and HMM models retraining on the HIWIRE foreign
accented English speech database. The ``phonetic confusion'' scheme we have
developed consists in associating to each spoken phone several sequences of
confused phones. In our experiments, we have used different combinations of
acoustic models representing the canonical and the foreign pronunciations:
spoken and native models, models adapted to the non-native accent with MAP and
MLLR. The joint use of pronunciation modelling and acoustic adaptation led to
further improvements in recognition accuracy. The best combination of the above
mentioned techniques resulted in a relative word error reduction ranging from
46% to 71%.
| cs.CL | in this paper we present several adaptation methods for nonnative speech recognition we have tested pronunciation modelling mllr and map nonnative pronunciation adaptation and hmm models retraining on the hiwire foreign accented english speech database the phonetic confusion scheme we have developed consists in associating to each spoken phone several sequences of confused phones in our experiments we have used different combinations of acoustic models representing the canonical and the foreign pronunciations spoken and native models models adapted to the nonnative accent with map and mllr the joint use of pronunciation modelling and acoustic adaptation led to further improvements in recognition accuracy the best combination of the above mentioned techniques resulted in a relative word error reduction ranging from 46 to 71 | [['in', 'this', 'paper', 'we', 'present', 'several', 'adaptation', 'methods', 'for', 'nonnative', 'speech', 'recognition', 'we', 'have', 'tested', 'pronunciation', 'modelling', 'mllr', 'and', 'map', 'nonnative', 'pronunciation', 'adaptation', 'and', 'hmm', 'models', 'retraining', 'on', 'the', 'hiwire', 'foreign', 'accented', 'english', 'speech', 'database', 'the', 'phonetic', 'confusion', 'scheme', 'we', 'have', 'developed', 'consists', 'in', 'associating', 'to', 'each', 'spoken', 'phone', 'several', 'sequences', 'of', 'confused', 'phones', 'in', 'our', 'experiments', 'we', 'have', 'used', 'different', 'combinations', 'of', 'acoustic', 'models', 'representing', 'the', 'canonical', 'and', 'the', 'foreign', 'pronunciations', 'spoken', 'and', 'native', 'models', 'models', 'adapted', 'to', 'the', 'nonnative', 'accent', 'with', 'map', 'and', 'mllr', 'the', 'joint', 'use', 'of', 'pronunciation', 'modelling', 'and', 'acoustic', 'adaptation', 'led', 'to', 'further', 'improvements', 'in', 'recognition', 'accuracy', 'the', 'best', 'combination', 'of', 'the', 'above', 'mentioned', 'techniques', 'resulted', 'in', 'a', 'relative', 'word', 'error', 'reduction', 'ranging', 'from', '46', 'to', '71']] | [-0.006540466063898365, -0.01788371409605111, -0.013753524783244434, 0.08302860609582849, -0.10929302239313352, -0.15595592049620122, 0.06705587894428706, 0.4478789497828804, -0.2659595202008062, -0.3189264411031661, 0.05152147105021387, -0.30635504344524433, -0.1653304028763505, 0.21744208245669022, -0.15530113252418593, 0.06642276079062957, 0.11320840628925434, 0.05238143816659581, -0.05467168777442175, -0.26735086367400135, 0.25078924303135475, 0.01616391031579538, 0.35914896495547916, -0.020951689590415185, 0.146627949962531, -0.06104533503617137, -0.09914460528087764, -0.12726101899819742, -0.06325062213480966, 0.21997474706039016, 0.34288573776689757, 0.20150774062711221, 0.2901695844648052, -0.388106584949188, -0.22163501147504064, 0.1024440036247646, 0.14353508835038833, 0.1627884106017834, -0.024991176174838127, -0.3802452798478675, 0.07267440884955678, -0.23085420333957377, 0.07484044795778912, -0.0687370297368154, 0.00638999221153742, 0.015430218536283605, -0.20502807392377007, 0.05112742649753047, 0.13198463209696193, 0.18018082783303477, -0.10681556286444226, -0.15267886967621436, 0.02914478200918818, 0.22657291838622168, 0.07472989735893967, 0.038218667749931254, 0.1216911880745868, -0.13335040842629353, -0.15298565258974334, 0.37078736625488634, -0.1390682924654304, -0.2658316326223714, 0.25531246876805896, -0.005113750555714176, -0.18285813700207623, 0.07892374684052804, 0.24200592188872705, 0.04242291420405685, -0.18503565371252043, 0.014015197223783585, 0.009760086239923624, 0.2704005436125127, 0.1607965449980568, -0.07756305893898503, 0.18599464830534518, 0.23545396483449405, -0.10335503276322068, 0.12338342434103208, -0.1449376452263937, -0.016579759308167786, -0.18169187236296336, -0.07980786041502864, -0.11283580487409284, -0.0608800247336607, -0.08680357905956224, -0.14891391823237593, 0.4188903853180758, 0.2543964071876623, 0.1186608008632421, 0.08543184101735511, 0.26675477501943956, 0.0006979967646439337, 0.10602667210488927, 0.015330237952207238, 0.13392441878614808, -0.02845695564785033, 0.1371144999842321, -0.1779866030147253, 0.10078290569372783, 0.06560723981550656] |
711.0812 | Charge Oscillations in Superconducting Nanodevices Coupled to External
Environments | Charge oscillations in certain nanodevices, more specifically the so-called
Superconducting Cooper Pair Boxes (SCB), are usually interpreted as an effect
of macroscopic quantum coherence; an alternative explanation is however
possible in terms of the Gross-Pitaewski equation for the classical order
parameter. These two explanations are based on different quantum states
assigned to the SCB, occupation number states in the first case, coherent-like
states in the second one. We show that, when the SCB is weakly coupled to an
external source of noise and dissipation, occupation number states are much
more unstable than coherent ones.
| quant-ph cond-mat.other hep-th | charge oscillations in certain nanodevices more specifically the socalled superconducting cooper pair boxes scb are usually interpreted as an effect of macroscopic quantum coherence an alternative explanation is however possible in terms of the grosspitaewski equation for the classical order parameter these two explanations are based on different quantum states assigned to the scb occupation number states in the first case coherentlike states in the second one we show that when the scb is weakly coupled to an external source of noise and dissipation occupation number states are much more unstable than coherent ones | [['charge', 'oscillations', 'in', 'certain', 'nanodevices', 'more', 'specifically', 'the', 'socalled', 'superconducting', 'cooper', 'pair', 'boxes', 'scb', 'are', 'usually', 'interpreted', 'as', 'an', 'effect', 'of', 'macroscopic', 'quantum', 'coherence', 'an', 'alternative', 'explanation', 'is', 'however', 'possible', 'in', 'terms', 'of', 'the', 'grosspitaewski', 'equation', 'for', 'the', 'classical', 'order', 'parameter', 'these', 'two', 'explanations', 'are', 'based', 'on', 'different', 'quantum', 'states', 'assigned', 'to', 'the', 'scb', 'occupation', 'number', 'states', 'in', 'the', 'first', 'case', 'coherentlike', 'states', 'in', 'the', 'second', 'one', 'we', 'show', 'that', 'when', 'the', 'scb', 'is', 'weakly', 'coupled', 'to', 'an', 'external', 'source', 'of', 'noise', 'and', 'dissipation', 'occupation', 'number', 'states', 'are', 'much', 'more', 'unstable', 'than', 'coherent', 'ones']] | [-0.17883667045633397, 0.23626286989019718, -0.02485594770280264, 0.12159138090247588, -0.030980190605185524, -0.15388094621800608, 0.02489940568263973, 0.32035815078885327, -0.23118519590746972, -0.29830760439677584, 0.024859037486866357, -0.3134847924073217, -0.10347568427252593, 0.21446238154224972, -0.013955169232181644, 0.06748167834975706, 0.002356733750021185, 0.07029463140474211, -0.02707524601963439, -0.23377491858217023, 0.33387188780902616, 0.020755898986031772, 0.3132534976447782, -0.002138924754915699, 0.02812479065871367, -0.025933454439084055, 0.0651124492888489, 0.012249828967195685, -0.06250599091451663, 0.06715234032311347, 0.23044725741329852, 0.029221230912553048, 0.28083455525038226, -0.48473300099853545, -0.19880084944788806, 0.09897738799292555, 0.1450778516363077, 0.17364923742359445, -0.01114413390118849, -0.2924870022257129, 0.05158140665541092, -0.18163113921420068, -0.08134063822467641, -0.07541555368031065, 0.028406164749094878, -0.01710592268500477, -0.2475255258301253, 0.09077785673841673, 0.0776508885976528, -0.003840372276802858, -0.04750267989177417, -0.10062082398742918, -0.023041847079331355, 0.06913285458026083, -0.005845190962195717, -0.02385813023103902, 0.1139879198694822, -0.1447589315464019, -0.1426424034132612, 0.33072970584735917, -0.012334814607647689, -0.24016362529808796, 0.1951867315182162, -0.11990114551798631, -0.0829337305809942, 0.10194976336412853, 0.09973606314029425, 0.12440419412388276, -0.118871939737351, -0.013834497746786164, -0.02160475144703542, 0.1840933375461127, 0.06352016980188989, 0.14553038114982267, 0.22823624698925885, 0.13265405080321255, 0.1067051383296168, 0.1693794579847255, -0.08911598369889763, -0.15301328230591651, -0.31430369735725466, -0.15683286089289894, -0.22465055396840458, 0.05963558580235688, -0.028720500418179046, -0.18137864428897818, 0.3884068274600131, 0.14526460876235217, 0.21237870677804915, -0.017036611574792093, 0.277519931956645, 0.16154785798637256, 0.04148156506319841, 0.033151549362247026, 0.2164342515896605, 0.15357817967061796, -0.0025201090511375217, -0.2459023863165414, 0.06450441221316014, 0.03145843163453123] |
711.0813 | Surface Effects on Oxide Heterostructures | We report on surface effects on the electronic properties of interfaces in
epitaxial LaAlO$_3$/SrTiO$_3$ heterostructures. Our results are based on
first-principles electronic structure calculations for well-relaxed multilayer
configurations, terminated by an ultrathin LaAlO$_3$ surface layer. On varying
the thickness of this layer, we find that the interface conduction states are
subject to almost rigid band shifts due to a modified Fermi energy. Confirming
experimental data, the electronic properties of heterointerfaces therefore can
be tuned systematically by alterating the surface-interface distance. We expect
that this mechanism is very general and applies to most oxide heterostructures.
| cond-mat.mtrl-sci | we report on surface effects on the electronic properties of interfaces in epitaxial laalo_3srtio_3 heterostructures our results are based on firstprinciples electronic structure calculations for wellrelaxed multilayer configurations terminated by an ultrathin laalo_3 surface layer on varying the thickness of this layer we find that the interface conduction states are subject to almost rigid band shifts due to a modified fermi energy confirming experimental data the electronic properties of heterointerfaces therefore can be tuned systematically by alterating the surfaceinterface distance we expect that this mechanism is very general and applies to most oxide heterostructures | [['we', 'report', 'on', 'surface', 'effects', 'on', 'the', 'electronic', 'properties', 'of', 'interfaces', 'in', 'epitaxial', 'laalo_3srtio_3', 'heterostructures', 'our', 'results', 'are', 'based', 'on', 'firstprinciples', 'electronic', 'structure', 'calculations', 'for', 'wellrelaxed', 'multilayer', 'configurations', 'terminated', 'by', 'an', 'ultrathin', 'laalo_3', 'surface', 'layer', 'on', 'varying', 'the', 'thickness', 'of', 'this', 'layer', 'we', 'find', 'that', 'the', 'interface', 'conduction', 'states', 'are', 'subject', 'to', 'almost', 'rigid', 'band', 'shifts', 'due', 'to', 'a', 'modified', 'fermi', 'energy', 'confirming', 'experimental', 'data', 'the', 'electronic', 'properties', 'of', 'heterointerfaces', 'therefore', 'can', 'be', 'tuned', 'systematically', 'by', 'alterating', 'the', 'surfaceinterface', 'distance', 'we', 'expect', 'that', 'this', 'mechanism', 'is', 'very', 'general', 'and', 'applies', 'to', 'most', 'oxide', 'heterostructures']] | [-0.16984593154742353, 0.14704798165128583, -0.06229008902214788, 0.006813495383617939, -0.04256141928315003, -0.13152667915608773, 0.10944992418010388, 0.47665024638896986, -0.2743148884788576, -0.2920281782305689, 0.0016313909480388286, -0.30816885734838184, -0.1743002663296397, 0.2247378546469194, 0.014076570419454447, 0.04045500576380961, 0.02140004415145164, -0.16433794697826748, -0.1103593838821736, -0.20243628212170656, 0.34790627579254807, 0.08070440765004605, 0.32842698356797617, 0.15894541544939883, -0.016601149021567757, -0.024005767451198673, 0.15190051362839757, 0.014815476582816211, -0.1964596622039549, 0.12108744625490339, 0.2614532412700756, -0.1684816441328455, 0.18405631597414213, -0.5543488671212027, -0.22603164837565473, -0.10859469806535109, 0.06772788893932136, 0.14897591387853026, -0.1128071811881357, -0.25121587404720885, 0.1053074535172713, -0.10888695506559264, -0.08161849878047422, -0.07327711316306264, -0.04648488719436911, -0.020915896361393314, -0.18675296480569648, 0.04889771863017031, 0.013111421651887877, 0.07830019054052818, -0.13766440717873954, -0.13950688826415927, -0.13625655773656584, 0.054490472019840315, 0.0164260295925722, 0.030929883090799214, 0.22329528208681812, -0.09993649578918652, -0.09435473172675057, 0.36392822672402664, -0.040351161923539894, -0.13336663687181088, 0.21726006756396463, -0.1256728294876314, -0.0712704043134406, 0.09063451131305067, 0.17022900333407745, 0.11622808794040353, -0.14567023044594773, 0.10019806195588743, 0.0016665529839629408, 0.23882327034508669, 0.04436077651697942, 0.07525436795799822, 0.2315891014151676, 0.2014440106908961, 0.04699729776550685, 0.1319800174497168, -0.12705881864092844, 0.003270804478977156, -0.18663490052905776, -0.17246622687345872, -0.2259903108908905, 0.05446956904544946, -0.04666502794775967, -0.22742280248873015, 0.4326782427848347, 0.1407505217501493, 0.17256361963127248, -0.05636272664552414, 0.2053125442095822, 0.07517413054567872, 0.09043998888353266, 0.03880018466002037, 0.2855426141171045, 0.12980408152385103, 0.06446403205915484, -0.22061691153293816, 0.1536537209145164, 0.0001766037431255143] |
711.0814 | Geometric Linearization of Ordinary Differential Equations | The linearizability of differential equations was first considered by Lie for
scalar second order semi-linear ordinary differential equations. Since then
there has been considerable work done on the algebraic classification of
linearizable equations and even on systems of equations. However, little has
been done in the way of providing explicit criteria to determine their
linearizability. Using the connection between isometries and symmetries of the
system of geodesic equations criteria were established for second order
quadratically and cubically semi-linear equations and for systems of equations.
The connection was proved for maximally symmetric spaces and a conjecture was
put forward for other cases. Here the criteria are briefly reviewed and the
conjecture is proved.
| math.CA math.DG | the linearizability of differential equations was first considered by lie for scalar second order semilinear ordinary differential equations since then there has been considerable work done on the algebraic classification of linearizable equations and even on systems of equations however little has been done in the way of providing explicit criteria to determine their linearizability using the connection between isometries and symmetries of the system of geodesic equations criteria were established for second order quadratically and cubically semilinear equations and for systems of equations the connection was proved for maximally symmetric spaces and a conjecture was put forward for other cases here the criteria are briefly reviewed and the conjecture is proved | [['the', 'linearizability', 'of', 'differential', 'equations', 'was', 'first', 'considered', 'by', 'lie', 'for', 'scalar', 'second', 'order', 'semilinear', 'ordinary', 'differential', 'equations', 'since', 'then', 'there', 'has', 'been', 'considerable', 'work', 'done', 'on', 'the', 'algebraic', 'classification', 'of', 'linearizable', 'equations', 'and', 'even', 'on', 'systems', 'of', 'equations', 'however', 'little', 'has', 'been', 'done', 'in', 'the', 'way', 'of', 'providing', 'explicit', 'criteria', 'to', 'determine', 'their', 'linearizability', 'using', 'the', 'connection', 'between', 'isometries', 'and', 'symmetries', 'of', 'the', 'system', 'of', 'geodesic', 'equations', 'criteria', 'were', 'established', 'for', 'second', 'order', 'quadratically', 'and', 'cubically', 'semilinear', 'equations', 'and', 'for', 'systems', 'of', 'equations', 'the', 'connection', 'was', 'proved', 'for', 'maximally', 'symmetric', 'spaces', 'and', 'a', 'conjecture', 'was', 'put', 'forward', 'for', 'other', 'cases', 'here', 'the', 'criteria', 'are', 'briefly', 'reviewed', 'and', 'the', 'conjecture', 'is', 'proved']] | [-0.17585138501142086, 0.031788526057165915, -0.07397322452327769, 0.08522961512062466, -0.12225110145352248, -0.17179666844146727, -0.028552955290901343, 0.29484690987945733, -0.23743809675631514, -0.2983388044854759, 0.16690176729441322, -0.28640994494448285, -0.1411389392201922, 0.2197109829888047, -0.04695311812767094, 0.1530955474050383, 0.029731629757277136, 0.06850354664285467, -0.1174909647649786, -0.32898640386494143, 0.40112454452277496, -0.02426895628949361, 0.23645186706562527, 0.02215329891103985, 0.18795098691979156, -0.026015162087527903, -0.09844540889441435, 0.010503787687785657, -0.13929491799873567, 0.07216951653494366, 0.27086665847829344, 0.07965570463732417, 0.2467363300467176, -0.4342242597236431, -0.19079462233016134, 0.09289059215890509, 0.1326336238375266, 0.11029720855835226, -0.0327641600181648, -0.30145705563648206, 0.11623957786858748, -0.12460757576627657, -0.1767499235284049, -0.08579521943881575, 0.08567682108176607, 0.02445959942893491, -0.20565317687370616, 0.06477965412029464, 0.11726279790413432, 0.08606781130323984, -0.10132449755889995, -0.07780677045853476, -0.062214763660449535, 0.0573162735090591, 0.04954585763126878, -0.02863029312616813, -0.020957082493363748, -0.0883733206366222, -0.1296809629805336, 0.4055122104057643, -0.008759929249728364, -0.26267301195392584, 0.16965336159669928, -0.1038915576022451, -0.16452422084278492, 0.0841031451501684, 0.15778586152009666, 0.1782403085671831, -0.18445699136438115, 0.15407372121054713, -0.03881282394286245, 0.10751433771864478, 0.11770404859063481, -0.025817729362253367, 0.09721098902602014, 0.12345210142666474, 0.0804984981940444, 0.117723044428463, 0.05061456802650355, -0.11920018105541073, -0.29999260598560795, -0.17059346204457274, -0.08850818952279431, 0.0514043919787842, -0.03816609497386837, -0.1142096617342239, 0.3314418399739744, 0.08260247029621885, 0.09006371916205223, 0.05711157172793589, 0.23184661763454123, 0.2132468425801822, 0.037991007638376165, 0.03445345495544773, 0.2724958936534157, 0.25898877263119047, 0.1162847063886667, -0.1707278945645417, 0.0728994020818001, 0.17016815352586231] |
711.0815 | A local-global problem for linear differential equations | An inhomogeneous linear differential equation Ly=f over a global differential
field can have a formal solution for each place without having a global
solution. The vector space lgl(L) measures this phenomenon. This space is
interpreted in terms of cohomology of linear algebraic groups and is computed
for abelian differential equations and for regular singular equations. An
analogue of Artin reciprocity for abelian differential equations is given.
Malgrange's work on irregularity is reproved in terms of cohomology of linear
algebraic groups.
| math.DS math.NT | an inhomogeneous linear differential equation lyf over a global differential field can have a formal solution for each place without having a global solution the vector space lgll measures this phenomenon this space is interpreted in terms of cohomology of linear algebraic groups and is computed for abelian differential equations and for regular singular equations an analogue of artin reciprocity for abelian differential equations is given malgranges work on irregularity is reproved in terms of cohomology of linear algebraic groups | [['an', 'inhomogeneous', 'linear', 'differential', 'equation', 'lyf', 'over', 'a', 'global', 'differential', 'field', 'can', 'have', 'a', 'formal', 'solution', 'for', 'each', 'place', 'without', 'having', 'a', 'global', 'solution', 'the', 'vector', 'space', 'lgll', 'measures', 'this', 'phenomenon', 'this', 'space', 'is', 'interpreted', 'in', 'terms', 'of', 'cohomology', 'of', 'linear', 'algebraic', 'groups', 'and', 'is', 'computed', 'for', 'abelian', 'differential', 'equations', 'and', 'for', 'regular', 'singular', 'equations', 'an', 'analogue', 'of', 'artin', 'reciprocity', 'for', 'abelian', 'differential', 'equations', 'is', 'given', 'malgranges', 'work', 'on', 'irregularity', 'is', 'reproved', 'in', 'terms', 'of', 'cohomology', 'of', 'linear', 'algebraic', 'groups']] | [-0.21788535742327952, 0.018617002965467505, -0.13026668010757136, 0.09787035337350784, -0.1495072167032422, -0.09665119365597956, -0.06368969426227686, 0.25137770682191235, -0.3503112476020574, -0.2233433115787846, 0.12876007410709578, -0.23884364574526748, -0.14742068275331688, 0.20595912376227668, -0.14412164491099808, 0.02765065108616956, -0.013780564117508057, 0.11723091988525806, -0.10999224664500126, -0.2906083363520268, 0.4267339419860106, -0.06400498430929684, 0.2232951551126555, -0.01740775803008523, 0.20479642872053844, 0.020815719235449646, -0.04874379570798901, 0.041908111613548286, -0.12124402306448573, 0.10137367341667414, 0.36130252924676126, 0.023978260268146794, 0.2130500093484536, -0.4102745988430121, -0.18502387014002755, 0.15212388958734196, 0.14169132339959153, 0.08525688368648005, -0.039361814551879294, -0.2816079444705676, 0.11239678151189135, -0.17647400247649506, -0.17745190362135568, -0.08401544898366317, 0.09094235835483488, 0.02845562772395519, -0.26616977888625115, 0.04528701061215729, 0.08026023413269566, 0.17760627544843233, -0.1291381231485269, -0.0467736227885605, -0.04548003801699871, 0.03986779276209955, -0.032567701633804694, 0.010038636905403856, 0.04966272365373488, -0.11862678717797956, -0.1394524106230491, 0.3646583761691522, -0.1213815965068837, -0.29702099007968524, 0.06788501757620953, -0.12586253602654698, -0.14418440487964126, 0.15057009336753532, 0.15488683878300855, 0.16148045984431145, -0.09414223096787165, 0.21363971950575852, -0.12934122463831535, 0.09057309270466272, 0.07911723905887741, -0.014929610609005276, 0.10448323954374363, 0.10055434241896877, 0.12162220489997895, 0.08633588906377554, 0.0720980361966679, -0.10567993527421585, -0.35006721649701017, -0.20998791116289794, -0.07735769675137141, 0.12567493676518401, -0.1383637912591579, -0.19139217342345569, 0.38720716439330805, -0.00262896962559376, 0.13281422366316503, 0.10012194126223524, 0.24203943476104775, 0.23471276952813452, 0.029954580924449824, 0.006399761718244125, 0.14321392831894067, 0.25417446416134065, 0.05546042735491378, -0.16129704285413027, 0.053311720866566666, 0.22713299773824522] |
711.0816 | New Dirac quantum modes in moving frames of the de Sitter spacetime | Recently a new time-evolution picture of the Dirac quantum mechanics was
defined in charts with spatially flat Robertson-Walker metrics, under the name
of Schr\"{o}dinger picture [I. I. Cot\u{a}escu, arXiv:0708.0734] . In the
present paper new Dirac quantum modes are found in moving charts of the de
Sitter spacetime using the technical advantages offered by this picture. The
principal result is a new set of energy eigenspinors which behave as polarized
plane waves and form a complete system of orthonormalized solutions of the free
Dirac equation.
| gr-qc | recently a new timeevolution picture of the dirac quantum mechanics was defined in charts with spatially flat robertsonwalker metrics under the name of schrodinger picture i i cotuaescu arxiv07080734 in the present paper new dirac quantum modes are found in moving charts of the de sitter spacetime using the technical advantages offered by this picture the principal result is a new set of energy eigenspinors which behave as polarized plane waves and form a complete system of orthonormalized solutions of the free dirac equation | [['recently', 'a', 'new', 'timeevolution', 'picture', 'of', 'the', 'dirac', 'quantum', 'mechanics', 'was', 'defined', 'in', 'charts', 'with', 'spatially', 'flat', 'robertsonwalker', 'metrics', 'under', 'the', 'name', 'of', 'schrodinger', 'picture', 'i', 'i', 'cotuaescu', 'arxiv07080734', 'in', 'the', 'present', 'paper', 'new', 'dirac', 'quantum', 'modes', 'are', 'found', 'in', 'moving', 'charts', 'of', 'the', 'de', 'sitter', 'spacetime', 'using', 'the', 'technical', 'advantages', 'offered', 'by', 'this', 'picture', 'the', 'principal', 'result', 'is', 'a', 'new', 'set', 'of', 'energy', 'eigenspinors', 'which', 'behave', 'as', 'polarized', 'plane', 'waves', 'and', 'form', 'a', 'complete', 'system', 'of', 'orthonormalized', 'solutions', 'of', 'the', 'free', 'dirac', 'equation']] | [-0.17548477417419114, 0.129527860938246, -0.1349551589172109, 0.0486964741553438, -0.08499248406614165, -0.14790405233738474, -0.023970681136398272, 0.30472684196050626, -0.21386155732963458, -0.24546473588182938, 0.010813555016788283, -0.277323170553848, -0.1648101816374629, 0.16177471590800638, -0.053430870444659724, 0.049965919051543774, 0.03251568522270634, 0.012278575890596551, -0.09030281223850437, -0.20872392312410365, 0.3996555917610201, 0.04789743845979402, 0.2999518424698926, -0.04430244939264292, 0.08898205354428255, -0.0006400622001074882, -0.011216589417981815, 0.03675502971802131, -0.14050991094323345, 0.0915053301457181, 0.207658737973613, 0.11012569598359875, 0.22581437976290303, -0.3881713156195649, -0.2153339736129954, 0.034140147678329645, 0.14585643178251773, 0.131507438095567, -0.06453192320158593, -0.3664310363581382, 0.003764124620840492, -0.14218822488538832, -0.23226613686027298, -0.051834676843922005, -0.00775491906307548, -0.0307119297963309, -0.1474461165223136, 0.09829615117667849, 0.05714170156742435, 0.04047469266252705, -0.09993780135241595, -0.06997768076400396, -0.04697287388718182, 0.06163138132794839, 0.019282645902158804, 0.02405977309737579, 0.053718669811286125, -0.06491025685857285, -0.13915339551013278, 0.4144083470644721, -0.08457809498993657, -0.23622079562754875, 0.11537738348615456, -0.13614555597529712, -0.07674228242340397, 0.10795976638973477, 0.1161866995438664, 0.14420559207897587, -0.175605831297496, 0.17415905473908094, -0.04616816365440567, 0.0738090513251632, 0.11662302283480404, 0.05650936525472137, 0.23831850512469388, 0.1139415485212153, 0.06195055591279125, 0.08556715827659671, -0.014238131431728062, -0.14025442687379397, -0.3766193836927414, -0.22365872200623335, -0.16570408475804085, 0.1050885009764503, -0.06038350922161438, -0.22625156913895206, 0.436075068940128, 0.060919149554368245, 0.13209552062024554, -0.029294248769923776, 0.23208166215658546, 0.11347516531602295, -1.26119590846889e-06, 0.09820198317911162, 0.2189641953950905, 0.14217174851829298, 0.15076334074319128, -0.16490214502337916, -0.07851250795086465, 0.09665688545252364] |
711.0817 | Transversity from two pion interference fragmentation | We present calculation on the azimuthal spin asymmetries for pion pair
production in semi-inclusive deep inelastic scattering (SIDIS) process at both
HERMES and COMPASS kinematics, with transversely polarized proton, deuteron and
neutron targets. We calculate the asymmetry by adopting a set of
parametrization of the interference fragmentation functions and two different
models for the transversity. We find that the result for the proton target is
insensitive to the approaches of the transversity but more helpful to
understand the interference fragmentation functions. However, for the neutron
target, which can be obtained through using deuteron and {$^3$He} targets, we
find different predictions for different approaches to the transversity. Thus
probing the two pion interference fragmentation from the neutron can provide us
more interesting information on the transversity.
| hep-ph hep-ex | we present calculation on the azimuthal spin asymmetries for pion pair production in semiinclusive deep inelastic scattering sidis process at both hermes and compass kinematics with transversely polarized proton deuteron and neutron targets we calculate the asymmetry by adopting a set of parametrization of the interference fragmentation functions and two different models for the transversity we find that the result for the proton target is insensitive to the approaches of the transversity but more helpful to understand the interference fragmentation functions however for the neutron target which can be obtained through using deuteron and 3he targets we find different predictions for different approaches to the transversity thus probing the two pion interference fragmentation from the neutron can provide us more interesting information on the transversity | [['we', 'present', 'calculation', 'on', 'the', 'azimuthal', 'spin', 'asymmetries', 'for', 'pion', 'pair', 'production', 'in', 'semiinclusive', 'deep', 'inelastic', 'scattering', 'sidis', 'process', 'at', 'both', 'hermes', 'and', 'compass', 'kinematics', 'with', 'transversely', 'polarized', 'proton', 'deuteron', 'and', 'neutron', 'targets', 'we', 'calculate', 'the', 'asymmetry', 'by', 'adopting', 'a', 'set', 'of', 'parametrization', 'of', 'the', 'interference', 'fragmentation', 'functions', 'and', 'two', 'different', 'models', 'for', 'the', 'transversity', 'we', 'find', 'that', 'the', 'result', 'for', 'the', 'proton', 'target', 'is', 'insensitive', 'to', 'the', 'approaches', 'of', 'the', 'transversity', 'but', 'more', 'helpful', 'to', 'understand', 'the', 'interference', 'fragmentation', 'functions', 'however', 'for', 'the', 'neutron', 'target', 'which', 'can', 'be', 'obtained', 'through', 'using', 'deuteron', 'and', '3he', 'targets', 'we', 'find', 'different', 'predictions', 'for', 'different', 'approaches', 'to', 'the', 'transversity', 'thus', 'probing', 'the', 'two', 'pion', 'interference', 'fragmentation', 'from', 'the', 'neutron', 'can', 'provide', 'us', 'more', 'interesting', 'information', 'on', 'the', 'transversity']] | [-0.036169613015837966, 0.20337720896303654, -0.168528528701514, 0.1924780734251981, -0.05788653972931206, -0.0683352936943993, 0.03515677623264492, 0.38918100963905455, -0.1978262559995055, -0.20842293414473534, -0.08244083044026047, -0.3088326921015978, -0.004449856307357549, 0.17668139718845485, 0.12148912209272385, 0.07618975203484296, 0.06539670906588435, -0.052493465734412895, -0.0600417204182595, -0.17687796674203127, 0.44527017641067507, 0.04246247423789464, 0.27319907347112893, 0.172705821685493, 0.052766440097242594, 0.1207246452383697, -0.0907912872559391, -0.10038426138460636, -0.12954114645376102, 0.08402961888536811, 0.2828982822293474, 0.10954054455319419, 0.035778100464493034, -0.4437855897396803, -0.13894361723214388, 0.08922562427446246, 0.15526070936769248, 0.14889343845564873, -0.02224390088696964, -0.27656752315163613, 0.019184612579643726, -0.20963276542536916, -0.12822875233739614, -0.16265010836347937, 0.012540200099349022, 0.033147814649157226, -0.34990303820371627, 0.009085731368511915, -0.024286041162908077, -0.011288063874468207, -0.05310664343088865, -0.26229301176592706, -0.016074034839868547, 0.09638744077086449, 0.09421991413994692, 0.14516752725001425, 0.15816765074059366, -0.18187441534921528, -0.12640173372998834, 0.3545890469253063, 0.0035169087648391725, -0.21240658583492042, 0.10896407074481249, -0.2747224119193852, -0.14445456840842963, 0.12252327450178564, 0.21565435398183763, 0.0964219171591103, -0.23423848247528076, -0.04320843243412673, -0.04197667878493667, 0.15427072240412235, 0.16107059965282677, 0.043842287682928145, 0.2248011243417859, 0.21708639389649034, -0.026391659408807753, 0.07127735112514347, -0.19716558263078332, -0.0680051500853151, -0.2962251921184361, -0.06933995607309043, -0.09577772662043571, 0.06903834962658584, -0.0627923870193772, -0.0455049589946866, 0.3458505456894636, 0.09196050169318915, 0.2252690282203257, -0.010393741003237665, 0.3702057301849127, 0.08100159165926743, 0.08353408965468406, 0.044938204959034916, 0.25668757177889345, 0.17320959437824784, 0.1547939632954076, -0.26113782326318324, 0.11517921053245664, -0.017718583572655915] |
711.0818 | Four-dimensional CP$^1+$ U(1) lattice gauge theory for 3D
antiferromagnets: Phase structure, gauge bosons and spin liquid | In this paper we study the lattice CP$^1$ model in (3+1) dimensions coupled
with a dynamical compact U(1) gauge field. This model is an effective field
theory of the $s={1 \over 2}$ antiferromagnetic Heisenberg spin model in three
spatial dimensions. By means of Monte Carlo simulations, we investigate its
phase structure. There exist the Higgs, Coulomb and confinement phases, and the
parameter regions of these phases are clarified. We also measure magnetization
of O(3) spins, energy gap of spin excitations, and mass of gauge boson. Then we
discuss the relationship between these three phases and magnetic properties of
the high-$T_{\rm c}$ cuprates, in particular the possibility of
deconfined-spinon phase. Effect of dimer-like spin exchange coupling and
ring-exchange coupling is also studied.
| cond-mat.str-el | in this paper we study the lattice cp1 model in 31 dimensions coupled with a dynamical compact u1 gauge field this model is an effective field theory of the s1 over 2 antiferromagnetic heisenberg spin model in three spatial dimensions by means of monte carlo simulations we investigate its phase structure there exist the higgs coulomb and confinement phases and the parameter regions of these phases are clarified we also measure magnetization of o3 spins energy gap of spin excitations and mass of gauge boson then we discuss the relationship between these three phases and magnetic properties of the hight_rm c cuprates in particular the possibility of deconfinedspinon phase effect of dimerlike spin exchange coupling and ringexchange coupling is also studied | [['in', 'this', 'paper', 'we', 'study', 'the', 'lattice', 'cp1', 'model', 'in', '31', 'dimensions', 'coupled', 'with', 'a', 'dynamical', 'compact', 'u1', 'gauge', 'field', 'this', 'model', 'is', 'an', 'effective', 'field', 'theory', 'of', 'the', 's1', 'over', '2', 'antiferromagnetic', 'heisenberg', 'spin', 'model', 'in', 'three', 'spatial', 'dimensions', 'by', 'means', 'of', 'monte', 'carlo', 'simulations', 'we', 'investigate', 'its', 'phase', 'structure', 'there', 'exist', 'the', 'higgs', 'coulomb', 'and', 'confinement', 'phases', 'and', 'the', 'parameter', 'regions', 'of', 'these', 'phases', 'are', 'clarified', 'we', 'also', 'measure', 'magnetization', 'of', 'o3', 'spins', 'energy', 'gap', 'of', 'spin', 'excitations', 'and', 'mass', 'of', 'gauge', 'boson', 'then', 'we', 'discuss', 'the', 'relationship', 'between', 'these', 'three', 'phases', 'and', 'magnetic', 'properties', 'of', 'the', 'hight_rm', 'c', 'cuprates', 'in', 'particular', 'the', 'possibility', 'of', 'deconfinedspinon', 'phase', 'effect', 'of', 'dimerlike', 'spin', 'exchange', 'coupling', 'and', 'ringexchange', 'coupling', 'is', 'also', 'studied']] | [-0.201700856513197, 0.2605200118245606, -0.021331514940135368, 0.07562476239253242, -0.008581314376797997, -0.11836124283257685, 0.035210472989451735, 0.41838217773200836, -0.2249152813255474, -0.27930537436720954, 0.035196054196611294, -0.2754657643479334, -0.13734041447085993, 0.09856008888738808, 0.08487215714466546, -0.010519987764619603, -0.05038866828422712, 0.0028758282585366933, -0.1383708608962846, -0.2407857401867812, 0.32851936694852396, -0.03543911677464342, 0.2459408473321276, 0.07987403875889898, 0.07898138748372302, 0.015178971509097004, 0.07370987601828675, 0.008326804664518152, -0.19162194983360648, 0.05803352872207135, 0.17752614359473104, -0.04810400483366728, 0.1343652571594546, -0.3971527688080022, -0.20800678021110156, 0.07868563971176994, 0.14995366678878413, 0.12410260852770645, -0.05517935371730758, -0.2895705013872445, 0.0013413388172493262, -0.2204122242024716, -0.1456177445082581, -0.10968041593921096, -0.019009774447097873, -0.054407563172046, -0.24887973156477863, 0.11984148257859091, 0.04812522201496568, 0.11923668846417562, -0.07327246075171288, -0.08003208725595799, -0.08702758137731492, 0.053687246317756086, 0.12291238715230417, 0.06268457270681295, 0.07661915708239339, -0.1670934442282036, -0.16321602063410046, 0.3513038466614084, -0.04640229714216523, -0.17673993130809307, 0.18554031793732478, -0.18360740871316883, -0.13682815922079844, 0.10033547186034442, 0.13441465812976283, 0.09937265869073507, -0.14385102581997802, 0.17628146398630573, -0.016543335169788544, 0.18250019869477557, -0.022941509312597894, 0.0696908951650898, 0.26715239315849393, 0.19181068512188473, 0.005451785635297038, 0.13197447635436885, -0.12109766334604409, -0.15951387715298965, -0.2870399281852135, -0.18627033433916063, -0.15848889040267644, 0.05478926425596245, -0.1293388524755763, -0.12451234800709772, 0.42723328468684274, 0.19697107746512355, 0.1531737689261458, -0.053442045240154286, 0.20272713014073357, 0.08817189249225713, 0.026623313743699372, 0.03420571927685572, 0.2642394010948033, 0.22215680651437147, 0.0511249150061479, -0.2970020144139886, -0.078174970014913, 0.0896366161309934] |
711.0819 | Progress in hadron structure physics on the lattice | This is a review of progress in hadron structure physics from lattice QCD.
Recent results on the structure of the nucleon and the pion in terms of
(transition) form factors, moments of distribution amplitudes and (generalized)
parton distribution functions are presented. These observables allow us to
investigate a number of fundamental physics questions related to e.g. the
distribution of charge and momentum in hadrons, the spin structure of the
nucleon and the pion, and correlations between spin, orbital angular momentum
and coordinate degrees of freedom. Chiral extrapolations of selected lattice
results are presented and compared to results from experiment and
phenomenology. We conclude that lattice simulations already today strongly
contribute to our understanding of the structure of hadrons.
| hep-lat hep-ph | this is a review of progress in hadron structure physics from lattice qcd recent results on the structure of the nucleon and the pion in terms of transition form factors moments of distribution amplitudes and generalized parton distribution functions are presented these observables allow us to investigate a number of fundamental physics questions related to eg the distribution of charge and momentum in hadrons the spin structure of the nucleon and the pion and correlations between spin orbital angular momentum and coordinate degrees of freedom chiral extrapolations of selected lattice results are presented and compared to results from experiment and phenomenology we conclude that lattice simulations already today strongly contribute to our understanding of the structure of hadrons | [['this', 'is', 'a', 'review', 'of', 'progress', 'in', 'hadron', 'structure', 'physics', 'from', 'lattice', 'qcd', 'recent', 'results', 'on', 'the', 'structure', 'of', 'the', 'nucleon', 'and', 'the', 'pion', 'in', 'terms', 'of', 'transition', 'form', 'factors', 'moments', 'of', 'distribution', 'amplitudes', 'and', 'generalized', 'parton', 'distribution', 'functions', 'are', 'presented', 'these', 'observables', 'allow', 'us', 'to', 'investigate', 'a', 'number', 'of', 'fundamental', 'physics', 'questions', 'related', 'to', 'eg', 'the', 'distribution', 'of', 'charge', 'and', 'momentum', 'in', 'hadrons', 'the', 'spin', 'structure', 'of', 'the', 'nucleon', 'and', 'the', 'pion', 'and', 'correlations', 'between', 'spin', 'orbital', 'angular', 'momentum', 'and', 'coordinate', 'degrees', 'of', 'freedom', 'chiral', 'extrapolations', 'of', 'selected', 'lattice', 'results', 'are', 'presented', 'and', 'compared', 'to', 'results', 'from', 'experiment', 'and', 'phenomenology', 'we', 'conclude', 'that', 'lattice', 'simulations', 'already', 'today', 'strongly', 'contribute', 'to', 'our', 'understanding', 'of', 'the', 'structure', 'of', 'hadrons']] | [-0.09108784658266074, 0.22288252803560157, -0.1284385221552546, 0.08729592619968926, -0.06243773180028518, -0.0063138059340417385, 0.03133337264604298, 0.352603022214341, -0.21353126637700756, -0.27239510208620865, -0.005367842253289675, -0.3167441506136082, -0.0693660948614953, 0.12902386990865156, 0.08113895321927839, 0.07723554593147867, 0.06531075738031038, -0.007057380651407954, -0.09832697650378222, -0.20494731876336164, 0.35460249892183404, 0.07158323707970617, 0.24746522484978628, 0.14436229640791604, 0.07376297500371239, 0.03454956646724525, -0.06532275961254234, -0.02428750311699301, -0.15006631200224746, 0.14189031421822512, 0.21486311953641096, 0.06040058635298303, 0.11730917834013826, -0.4106404268403806, -0.15787457357460666, 0.024458940533558064, 0.1256888312275543, 0.13671693151374742, -0.02768059432905136, -0.24904431201422872, 0.03469826501174593, -0.2006592688750539, -0.18887496843807777, -0.1546091388800513, -0.018849149922508808, 0.06058281644689456, -0.2523448207056529, 0.09311900450058787, 0.029104774367948203, 0.050281770187982563, -0.032824128976691576, -0.2270704455973612, -0.02428371265680545, 0.09721546684158966, 0.10589035066689159, 0.08506114712533525, 0.1300805872227302, -0.2273053170218314, -0.1708417335047655, 0.43202020681534214, 0.034611673119983054, -0.20041847045304476, 0.14735765342395438, -0.2579415517669739, -0.13590110905894662, 0.10437736819671878, 0.22275373825045713, 0.07080191260764092, -0.15053823466562682, 0.0638091896869779, -0.04392999896416599, 0.17266190606781076, 0.04528012318473499, 0.130060325384582, 0.24664565870317362, 0.1464460898640613, -0.02555775957308331, 0.07441454446850881, -0.06346716824721671, -0.16324671639240015, -0.3231314268689287, -0.10236318954029831, -0.1703366142247756, 0.0766638488719887, -0.06587381815533865, -0.09552899892126226, 0.44185644587683415, 0.14044908889060273, 0.252742454922616, -0.035100629561091376, 0.24104060539265432, 0.04096973602663947, 0.07052551666116816, 0.06086489749022649, 0.2309196517285812, 0.21889463195703546, 0.11224488902371377, -0.27713868094576616, -0.000748785152455192, 0.06254944113730374] |
711.082 | Anyonic statistics with continuous variables | We describe a continuous-variable scheme for simulating the Kitaev lattice
model and for detecting statistics of abelian anyons. The corresponding quantum
optical implementation is solely based upon Gaussian resource states and
Gaussian operations, hence allowing for a highly efficient creation,
manipulation, and detection of anyons. This approach extends our understanding
of the control and application of anyons and it leads to the possibility for
experimental proof-of-principle demonstrations of anyonic statistics using
continuous-variable systems.
| quant-ph | we describe a continuousvariable scheme for simulating the kitaev lattice model and for detecting statistics of abelian anyons the corresponding quantum optical implementation is solely based upon gaussian resource states and gaussian operations hence allowing for a highly efficient creation manipulation and detection of anyons this approach extends our understanding of the control and application of anyons and it leads to the possibility for experimental proofofprinciple demonstrations of anyonic statistics using continuousvariable systems | [['we', 'describe', 'a', 'continuousvariable', 'scheme', 'for', 'simulating', 'the', 'kitaev', 'lattice', 'model', 'and', 'for', 'detecting', 'statistics', 'of', 'abelian', 'anyons', 'the', 'corresponding', 'quantum', 'optical', 'implementation', 'is', 'solely', 'based', 'upon', 'gaussian', 'resource', 'states', 'and', 'gaussian', 'operations', 'hence', 'allowing', 'for', 'a', 'highly', 'efficient', 'creation', 'manipulation', 'and', 'detection', 'of', 'anyons', 'this', 'approach', 'extends', 'our', 'understanding', 'of', 'the', 'control', 'and', 'application', 'of', 'anyons', 'and', 'it', 'leads', 'to', 'the', 'possibility', 'for', 'experimental', 'proofofprinciple', 'demonstrations', 'of', 'anyonic', 'statistics', 'using', 'continuousvariable', 'systems']] | [-0.1176589432759338, 0.18078486611651998, -0.10210676991367994, 0.029029176187739796, -0.04250980662947444, -0.21849121783592113, 0.10646974164450362, 0.36285482270464503, -0.19767475170912605, -0.28541397496394905, 0.07003360788325129, -0.1903965290737887, -0.14125420974746142, 0.28855241670222215, -0.02306661183933077, 0.1479060376455293, 0.054725575777510665, -0.03125519861071689, -0.040733382587435925, -0.25028719804058336, 0.2579755805853805, 0.05075886498415868, 0.38489046162121915, 0.052028222650621236, 0.10482166121292809, 0.10633748296444138, -0.06086462345420804, -0.09950841977643742, -0.06883603100320451, 0.18361843305030737, 0.24519731051747828, 0.07364308057123259, 0.21651160671082262, -0.4047491471602084, -0.23080327819828708, 0.09857995209781682, 0.14333790163063023, 0.23617553801518187, -0.05349662488849502, -0.36335899643855146, 0.019281513813551362, -0.2605792598109947, -0.12926725110625975, -0.19302007849392008, 0.001574986206035908, -0.010869613772079553, -0.26014119149377085, 0.061788871919430076, 0.10289166540813262, 0.06594748992779076, -0.0025716478783280065, -0.02853936728166595, 0.057196084936213205, 0.08783876422588548, -0.13199055339496787, -0.048798855451535283, 0.15825726551781982, -0.21512515743084457, -0.25287355954618485, 0.37990302549139277, 0.01455669426550604, -0.20243082153738465, 0.20776232902585745, -0.026333729691854487, -0.11475591217359044, 0.0581191767211238, 0.1355209396769331, 0.09241753990749178, -0.09610643351374015, 0.058058565070259395, -0.04017861123668821, 0.16177871140766226, -0.010219541494734585, 0.11624691718296237, 0.25555200343122325, 0.16781084696213677, 0.07163211827051558, 0.2083784339834668, -0.10340317035068387, -0.16687312895074896, -0.3068132683609242, -0.2092172557054317, -0.27975727127520494, 0.036545119956390905, -0.011132121569921952, -0.15224291422493655, 0.44791327805866527, 0.21165835430641491, 0.1198523550594149, 0.0402923225814298, 0.29667333302993887, 0.0865476979787959, 0.021256656468884177, 0.061807030652432815, 0.1363738198471192, 0.17306434017389197, 0.042125876201954605, -0.2460826541271622, 0.01242042470034467, 0.05740338017245474] |
711.0821 | Nucleon electroweak form factors in a meson-cloud model | The meson-cloud model of the nucleon consisting of a system of three valence
quarks surrounded by a meson cloud is applied to study the electroweak
structure of the proton and neutron. The electroweak nucleon form factors are
calculated within a light-front approach, by obtaining an overall good
description of the experimental data. Charge densities as a function of the
transverse distance with respect to the direction of the three-momentum
transfer are also discussed.
| hep-ph | the mesoncloud model of the nucleon consisting of a system of three valence quarks surrounded by a meson cloud is applied to study the electroweak structure of the proton and neutron the electroweak nucleon form factors are calculated within a lightfront approach by obtaining an overall good description of the experimental data charge densities as a function of the transverse distance with respect to the direction of the threemomentum transfer are also discussed | [['the', 'mesoncloud', 'model', 'of', 'the', 'nucleon', 'consisting', 'of', 'a', 'system', 'of', 'three', 'valence', 'quarks', 'surrounded', 'by', 'a', 'meson', 'cloud', 'is', 'applied', 'to', 'study', 'the', 'electroweak', 'structure', 'of', 'the', 'proton', 'and', 'neutron', 'the', 'electroweak', 'nucleon', 'form', 'factors', 'are', 'calculated', 'within', 'a', 'lightfront', 'approach', 'by', 'obtaining', 'an', 'overall', 'good', 'description', 'of', 'the', 'experimental', 'data', 'charge', 'densities', 'as', 'a', 'function', 'of', 'the', 'transverse', 'distance', 'with', 'respect', 'to', 'the', 'direction', 'of', 'the', 'threemomentum', 'transfer', 'are', 'also', 'discussed']] | [-0.09115759839227244, 0.20449679540904805, -0.08502727694337396, 0.09456604590467241, -0.007064901145608866, -0.040592440380874305, 0.0493755389311134, 0.3477540662231511, -0.192899329441102, -0.2735168064780189, -0.04561733750447835, -0.298064225723278, -0.007622901324744094, 0.12135108498129228, 0.07504405768600943, 0.07095756025168382, 0.05921367410736235, 0.05994216309643465, -0.12005266344353352, -0.16038335325062428, 0.3680093512832098, 0.05871365850867882, 0.2380246995144511, 0.11951188796697414, 0.09324511885064915, 0.0188472075674887, -0.013962582901936688, -0.014717309327464397, -0.07834130398170028, 0.14995085470990777, 0.19130808849857278, 0.06352434881439764, 0.16323946485589322, -0.38237867731447905, -0.15713205410499279, 0.02022635298844886, 0.12255256905934889, 0.10657923116527293, -0.03598097256984409, -0.2836831669284873, 0.08467290065672299, -0.23577879945913408, -0.19190299530092575, -0.11025570216907622, -0.014235652137981497, 0.03093722949684789, -0.30587010950963206, 0.07208034384330696, -0.029469765340016312, 0.018378375200171992, -0.09502138623534, -0.19188868203232295, -0.05490758166686721, 0.07900948738934446, 0.11683639503013955, 0.1520466945000146, 0.1595667222489233, -0.20440914312198963, -0.1089410624428563, 0.4466925450179675, -0.015556330883505512, -0.20121101633173555, 0.08090019455077509, -0.17345735132183931, -0.05527098219816203, 0.12733691725369595, 0.17935597798978425, 0.08678291773755256, -0.19757110283674978, 0.07913695534688026, -0.07158693599782578, 0.1830744434830618, 0.06740480858181948, 0.053632992204942116, 0.21804509106513165, 0.22478937783776082, -0.025206873499571462, 0.11052636129858151, -0.09275418141703695, -0.12453587115933634, -0.3644987370193719, -0.11525824565794446, -0.15690017494130626, 0.03195314619639148, -0.09781567911176516, -0.1280474085233187, 0.43469350857417777, 0.0490005753156155, 0.2560017181764523, -0.029502942660593823, 0.32425810590590515, 0.1070344858365899, 0.08067018551471299, 0.065473160419409, 0.25452958189320996, 0.19964155442183454, 0.11057768499300089, -0.2887037350566522, 0.014598602754656347, 0.0855426507115313] |
711.0822 | Self-organization in Trees and Motifs of Two-Dimensional Chaotic Maps
with Time Delay | We study two-dimensional chaotic standard maps coupled along the edges of
scale-free trees and tree-like subgraph (4-star) with a non-symplectic coupling
and time delay between the nodes. Apart from the chaotic and regular 2-periodic
motion, the coupled map system exhibits variety of dynamical effects in a wide
range of coupling strengths. This includes dynamical localization, emergent
periodicity, and appearance of strange non-chaotic attractors. Near the strange
attractors we find long-range correlations in the intervals of return-times to
specified parts of the phase space. We substantiate the analysis with the
finite-time Lyapunov stability. We also give some quantitative evidence of how
the small-scale dynamics at 4-star motifs participates in the genesis of the
collective behavior at the whole network.
| cond-mat.stat-mech | we study twodimensional chaotic standard maps coupled along the edges of scalefree trees and treelike subgraph 4star with a nonsymplectic coupling and time delay between the nodes apart from the chaotic and regular 2periodic motion the coupled map system exhibits variety of dynamical effects in a wide range of coupling strengths this includes dynamical localization emergent periodicity and appearance of strange nonchaotic attractors near the strange attractors we find longrange correlations in the intervals of returntimes to specified parts of the phase space we substantiate the analysis with the finitetime lyapunov stability we also give some quantitative evidence of how the smallscale dynamics at 4star motifs participates in the genesis of the collective behavior at the whole network | [['we', 'study', 'twodimensional', 'chaotic', 'standard', 'maps', 'coupled', 'along', 'the', 'edges', 'of', 'scalefree', 'trees', 'and', 'treelike', 'subgraph', '4star', 'with', 'a', 'nonsymplectic', 'coupling', 'and', 'time', 'delay', 'between', 'the', 'nodes', 'apart', 'from', 'the', 'chaotic', 'and', 'regular', '2periodic', 'motion', 'the', 'coupled', 'map', 'system', 'exhibits', 'variety', 'of', 'dynamical', 'effects', 'in', 'a', 'wide', 'range', 'of', 'coupling', 'strengths', 'this', 'includes', 'dynamical', 'localization', 'emergent', 'periodicity', 'and', 'appearance', 'of', 'strange', 'nonchaotic', 'attractors', 'near', 'the', 'strange', 'attractors', 'we', 'find', 'longrange', 'correlations', 'in', 'the', 'intervals', 'of', 'returntimes', 'to', 'specified', 'parts', 'of', 'the', 'phase', 'space', 'we', 'substantiate', 'the', 'analysis', 'with', 'the', 'finitetime', 'lyapunov', 'stability', 'we', 'also', 'give', 'some', 'quantitative', 'evidence', 'of', 'how', 'the', 'smallscale', 'dynamics', 'at', '4star', 'motifs', 'participates', 'in', 'the', 'genesis', 'of', 'the', 'collective', 'behavior', 'at', 'the', 'whole', 'network']] | [-0.22767344837546602, 0.15275447495663777, -0.09622672890414972, 0.08140857513241756, -0.014051369009300685, -0.10574351920762187, 0.044879730456532575, 0.30789588915550303, -0.29303668918979603, -0.2541276727540371, 0.049902661262740754, -0.3032474104697124, -0.21632949832795012, 0.1252800381511577, -0.006847093518600505, 0.04313665916586024, 0.04210752563184907, 0.04523045696023629, -0.04079686161667968, -0.1695332794338783, 0.3379786970714728, 0.013460468023251265, 0.2420469316868828, 0.018543691645002264, 0.08016980855335665, -0.02306068274908914, 0.005103699679876494, 0.03249764830171545, -0.1636424356361087, 0.03426927906803341, 0.18525718233715266, 0.053123898803317145, 0.20613655537112147, -0.392249486520568, -0.21086399279869136, 0.1500846900833914, 0.1567297411428836, 0.11328102537613903, -0.010259193694616994, -0.3257105268426558, 0.06065811504188002, -0.11955924678402834, -0.16223333606448692, -0.10764592507472023, 0.04252222424739192, 0.05795983912455093, -0.22239431912381935, 0.10562897443897727, 0.07770767918356065, 0.12076779271866012, -0.05156591607846765, -0.012641781036598751, -0.08369539341387841, 0.15960591883820474, 0.02007173491307558, -0.0118782805173427, 0.12349778819733705, -0.11445948891799387, -0.1254781934265525, 0.33702407944071877, -0.07675228812423351, -0.15473812334557885, 0.23655803300615433, -0.1857596880270757, -0.1710788775832416, 0.15734383356399262, 0.18458316723406157, 0.0646907192073826, -0.1054450257991751, 0.06823135084377076, -0.015225368082268625, 0.1739028860639749, 0.06002487481221493, 0.07322707884093253, 0.22759809064814168, 0.22216773097618267, 0.06113713724204363, 0.16001648219246575, -0.06727598120100721, -0.18521447949366182, -0.2850239616540125, -0.06583199832333714, -0.1021951948865675, 0.02253744587338028, -0.17785038016527557, -0.2126374895660541, 0.49847454092919063, 0.1331899761994425, 0.22991952461735565, 0.06424890890813027, 0.21913820987917546, 0.05818162247554487, 0.020939144958606642, 0.07212519117543457, 0.23231112398331563, 0.1152453497927795, 0.11766202486733086, -0.26582418609625447, 0.023852625599083226, 0.07437050983341587] |
711.0823 | Density correlations in ultracold Fermi systems within the exact
Richardson solution | We discuss the occupation number correlations in an ultracold system of
interacting fermionic atoms. For a system with a special energy-level
distribution, viz. two multiply-degenerate levels, explicit expressions for the
correlation functions are derived in a canonical approach using the exact
ground state wavefunction of the reduced BCS Hamiltonian. We evaluate the
correlators numerically for different interaction strength and find analytical
expressions in some limiting cases. Due to the underlying fermionic nature of
the pairs the occupations are predominantly anti-correlated and their
statistics is a multinomial distribution.
| cond-mat.supr-con cond-mat.str-el | we discuss the occupation number correlations in an ultracold system of interacting fermionic atoms for a system with a special energylevel distribution viz two multiplydegenerate levels explicit expressions for the correlation functions are derived in a canonical approach using the exact ground state wavefunction of the reduced bcs hamiltonian we evaluate the correlators numerically for different interaction strength and find analytical expressions in some limiting cases due to the underlying fermionic nature of the pairs the occupations are predominantly anticorrelated and their statistics is a multinomial distribution | [['we', 'discuss', 'the', 'occupation', 'number', 'correlations', 'in', 'an', 'ultracold', 'system', 'of', 'interacting', 'fermionic', 'atoms', 'for', 'a', 'system', 'with', 'a', 'special', 'energylevel', 'distribution', 'viz', 'two', 'multiplydegenerate', 'levels', 'explicit', 'expressions', 'for', 'the', 'correlation', 'functions', 'are', 'derived', 'in', 'a', 'canonical', 'approach', 'using', 'the', 'exact', 'ground', 'state', 'wavefunction', 'of', 'the', 'reduced', 'bcs', 'hamiltonian', 'we', 'evaluate', 'the', 'correlators', 'numerically', 'for', 'different', 'interaction', 'strength', 'and', 'find', 'analytical', 'expressions', 'in', 'some', 'limiting', 'cases', 'due', 'to', 'the', 'underlying', 'fermionic', 'nature', 'of', 'the', 'pairs', 'the', 'occupations', 'are', 'predominantly', 'anticorrelated', 'and', 'their', 'statistics', 'is', 'a', 'multinomial', 'distribution']] | [-0.1734300007567156, 0.1668604916399196, -0.06876613517010281, 0.1629991371544663, 0.028765303488864108, -0.1312760480268057, 0.043307283221808976, 0.34995436824338383, -0.19625247840033194, -0.28351732516704603, -0.005957387483862857, -0.30947329991816563, -0.11176272729671625, 0.15438466324189373, 0.068834348367852, 0.040056554665572425, 0.03721338801822344, 0.04944711338273834, -0.1324805793742281, -0.2090078151709032, 0.3481980690754257, 0.008588227795350343, 0.3259598890882592, 0.036742336816576765, 0.06991166405942897, 0.02776220845340123, 0.03986704614294996, -0.03520644783179176, -0.09462164436077136, 0.1104562055200425, 0.20511086315368735, 0.06370001019866661, 0.21803057671329656, -0.4215432410020121, -0.14866587797587272, 0.09151754852622575, 0.18210407638472917, 0.17138814514632836, 0.007901707999841419, -0.312418548087048, -0.047662801529060196, -0.21865563398514073, -0.15179483082448675, -0.11157458962677697, 0.036632096833484465, 0.07822822182179363, -0.27647358848006726, 0.11565603564092673, -0.014334743330796618, 0.0733537250956477, -0.09727241877645124, -0.15148332426162048, -0.009355798994494213, 0.11598705405607647, 0.0048062313702715515, -0.05806197817870524, 0.09885748555114883, -0.18882865459462939, -0.06281172044150163, 0.3573137113477948, -0.06132388640964014, -0.2546584159244112, 0.18465517110700264, -0.12618627046711398, -0.11081286017826303, 0.11404900369945058, 0.12292874933675278, 0.09026432008655785, -0.16479300404898822, 0.07399327671669727, -0.02895274359819501, 0.12562502785125573, 0.02083529129104559, 0.08383610794797193, 0.2246774533048792, 0.05739339261294105, -0.002830573218214044, 0.2050166246914413, -0.08934090381791425, -0.1861843083400366, -0.2912287487821697, -0.1352167127716225, -0.23145844499298998, 0.017501062383268807, -0.07408279055414103, -0.1657404993000159, 0.42660010653699554, 0.14410741999203902, 0.20280350198384461, 0.059016332893935576, 0.253760002147363, 0.20384786609386982, -0.02116678124781005, 0.03085849093419478, 0.19583047090029224, 0.1599653310543143, 0.01794361653412844, -0.2777416061902375, 0.035472184013532, 0.05255292850914736] |
711.0824 | Modified Dispersion Relations and trans-Planckian Physics | We consider modified dispersion relations in quantum field theory on curved
space-time. Such relations, despite breaking the local Lorentz invariance at
high energy, are considered in several phenomenological approaches to quantum
gravity. Their existence involves a modification of the formalism of quantum
field theory, starting from the problem of finding the scalar Green's functions
up to the renormalization of various quantum expectation values. In this work
we consider a simple example of such modifications, in the case of ultra-static
metric. We show how to overcome the lack of Lorentz invariance by introducing a
preferred frame, with respect to which we can express the Green's functions as
an integral over all frequencies of a space-dependent function. The latter can
be expanded in momentum space, and by integrating over all frequencies, we
finally find the expansion of the Green's function up to four derivatives of
the metric tensor. The relation with the proper-time formalism is also
discussed.
| gr-qc hep-th | we consider modified dispersion relations in quantum field theory on curved spacetime such relations despite breaking the local lorentz invariance at high energy are considered in several phenomenological approaches to quantum gravity their existence involves a modification of the formalism of quantum field theory starting from the problem of finding the scalar greens functions up to the renormalization of various quantum expectation values in this work we consider a simple example of such modifications in the case of ultrastatic metric we show how to overcome the lack of lorentz invariance by introducing a preferred frame with respect to which we can express the greens functions as an integral over all frequencies of a spacedependent function the latter can be expanded in momentum space and by integrating over all frequencies we finally find the expansion of the greens function up to four derivatives of the metric tensor the relation with the propertime formalism is also discussed | [['we', 'consider', 'modified', 'dispersion', 'relations', 'in', 'quantum', 'field', 'theory', 'on', 'curved', 'spacetime', 'such', 'relations', 'despite', 'breaking', 'the', 'local', 'lorentz', 'invariance', 'at', 'high', 'energy', 'are', 'considered', 'in', 'several', 'phenomenological', 'approaches', 'to', 'quantum', 'gravity', 'their', 'existence', 'involves', 'a', 'modification', 'of', 'the', 'formalism', 'of', 'quantum', 'field', 'theory', 'starting', 'from', 'the', 'problem', 'of', 'finding', 'the', 'scalar', 'greens', 'functions', 'up', 'to', 'the', 'renormalization', 'of', 'various', 'quantum', 'expectation', 'values', 'in', 'this', 'work', 'we', 'consider', 'a', 'simple', 'example', 'of', 'such', 'modifications', 'in', 'the', 'case', 'of', 'ultrastatic', 'metric', 'we', 'show', 'how', 'to', 'overcome', 'the', 'lack', 'of', 'lorentz', 'invariance', 'by', 'introducing', 'a', 'preferred', 'frame', 'with', 'respect', 'to', 'which', 'we', 'can', 'express', 'the', 'greens', 'functions', 'as', 'an', 'integral', 'over', 'all', 'frequencies', 'of', 'a', 'spacedependent', 'function', 'the', 'latter', 'can', 'be', 'expanded', 'in', 'momentum', 'space', 'and', 'by', 'integrating', 'over', 'all', 'frequencies', 'we', 'finally', 'find', 'the', 'expansion', 'of', 'the', 'greens', 'function', 'up', 'to', 'four', 'derivatives', 'of', 'the', 'metric', 'tensor', 'the', 'relation', 'with', 'the', 'propertime', 'formalism', 'is', 'also', 'discussed']] | [-0.14742979624819372, 0.13828888629617606, -0.10365550454157675, 0.07546718525550057, -0.07815299520208951, -0.0639463061849857, -0.00755320746121147, 0.36448392165043664, -0.2620565681245118, -0.2839086662005303, 0.03126740227828944, -0.24914932180075877, -0.1651418915318866, 0.17355416280127342, -0.0073083262980705305, 0.059733008721847114, -0.03474343517915376, 0.05778332835724277, -0.15041504203972797, -0.209837456927785, 0.3590925420919854, 0.04167886027886022, 0.25684945589652464, 0.05519524499052955, 0.11877246598803227, 0.037234128168934295, -0.029809586667726116, 0.05287679795217099, -0.11884862342098307, 0.11341293456498533, 0.21596815055837074, 0.08842160506474395, 0.2531716285453689, -0.4125345559490304, -0.22865000105793437, 0.0633173166443744, 0.1007295019218638, 0.13365842464394986, -0.014247138034402123, -0.2642545496233769, 0.05412315176630903, -0.19497236641905, -0.17894660856334432, -0.09966710031092647, -0.011432336599776341, -0.019923660609750978, -0.21848496956931007, 0.0911188107327513, 0.012197580056325081, 0.025509342419043665, -0.08023982233698329, -0.0476453619002695, 0.017510202892815633, 0.08408818524931708, 0.07962967858860089, 0.04204289441770544, 0.10842139548471859, -0.15018792426544092, -0.10899801722712694, 0.4028112671908832, -0.10541897072013648, -0.27124895847763025, 0.13840515386433372, -0.15467441428092218, -0.12848408966355265, 0.05098055820131014, 0.14067550273311716, 0.1369381660174939, -0.16410778695417028, 0.1636533592613564, -0.007958688582443902, 0.09054355229881983, 0.11136747504314107, 0.055728207306275444, 0.18897884280210542, 0.05492594104650761, 0.04282228170383361, 0.14521460900789188, -0.01649014402271038, -0.1414162264776326, -0.3888408560185663, -0.17112207547841302, -0.17552686591572578, 0.08995430536432973, -0.1317508103715579, -0.171975233501965, 0.405782470608791, 0.1513181723143545, 0.1937398096910798, 0.06842827533837408, 0.2520108897329098, 0.18864652908842772, 0.09823474681695864, 0.04773016749550739, 0.24571494830456833, 0.14634171793117157, 0.059537076535484484, -0.22759755864333842, -0.03204576589858099, 0.09410159327540427] |
711.0825 | Gauge symmetry and Slavnov-Taylor identities for randomly stirred fluids | The path integral for randomly forced incompressible fluids is shown to have
an underlying Becchi-Rouet-Stora (BRS) symmetry as a consequence of Galilean
invariance. This symmetry must be respected to have a consistent generating
functional, free from both an overall infinite factor and spurious relations
amongst correlation functions. We present a procedure for respecting this BRS
symmetry, akin to gauge fixing in quantum field theory. Relations are derived
between correlation functions of this gauge fixed, BRS symmetric theory,
analogous to the Slavnov-Taylor identities of quantum field theory.
| hep-th cond-mat.stat-mech hep-lat hep-ph physics.flu-dyn | the path integral for randomly forced incompressible fluids is shown to have an underlying becchirouetstora brs symmetry as a consequence of galilean invariance this symmetry must be respected to have a consistent generating functional free from both an overall infinite factor and spurious relations amongst correlation functions we present a procedure for respecting this brs symmetry akin to gauge fixing in quantum field theory relations are derived between correlation functions of this gauge fixed brs symmetric theory analogous to the slavnovtaylor identities of quantum field theory | [['the', 'path', 'integral', 'for', 'randomly', 'forced', 'incompressible', 'fluids', 'is', 'shown', 'to', 'have', 'an', 'underlying', 'becchirouetstora', 'brs', 'symmetry', 'as', 'a', 'consequence', 'of', 'galilean', 'invariance', 'this', 'symmetry', 'must', 'be', 'respected', 'to', 'have', 'a', 'consistent', 'generating', 'functional', 'free', 'from', 'both', 'an', 'overall', 'infinite', 'factor', 'and', 'spurious', 'relations', 'amongst', 'correlation', 'functions', 'we', 'present', 'a', 'procedure', 'for', 'respecting', 'this', 'brs', 'symmetry', 'akin', 'to', 'gauge', 'fixing', 'in', 'quantum', 'field', 'theory', 'relations', 'are', 'derived', 'between', 'correlation', 'functions', 'of', 'this', 'gauge', 'fixed', 'brs', 'symmetric', 'theory', 'analogous', 'to', 'the', 'slavnovtaylor', 'identities', 'of', 'quantum', 'field', 'theory']] | [-0.1775427004796193, 0.19653991558135564, -0.137357936170342, 0.11214690183040274, -0.1151471123732843, -0.11185886896063768, 0.007270185551660265, 0.34421526715376005, -0.2691853759420473, -0.2777473666423628, 0.025634914099206325, -0.23759581421523593, -0.1745697871110467, 0.08995504051901747, -0.031450731993847805, 0.08265152363496464, -0.06014687264457259, 0.039206808238008685, -0.13331755723934188, -0.19059259175366267, 0.31249088372190503, 0.020809043271921922, 0.3103084345781353, -0.012225890976138586, 0.11219184427132267, 0.04938039958049262, -0.01754169110723143, 0.025310182169642904, -0.11296713585034013, 0.09633396370986173, 0.2264212697885151, 0.043541675704249806, 0.16956600561997917, -0.4362625482080634, -0.1804106509922814, 0.07994349920299164, 0.14268881753411924, 0.13662361691510955, -0.05550340777885732, -0.2984040719565264, 0.09366039967510936, -0.19090945758791858, -0.17909576104098368, -0.12302491894035145, 0.008778811424299208, -0.06294283341768003, -0.2780552094228306, 0.10327384017440382, 0.021408676299764666, 0.11799328095214658, -0.04423965492318276, -0.05500015946170098, -0.05915178613044148, 0.11236824134776238, 0.12198249485917649, 0.05084397139157667, 0.08233105626125105, -0.17201272385508948, -0.1366338332841541, 0.42459441229787676, -0.0027370130816517873, -0.2652600427201494, 0.14968639801440456, -0.09650983934312365, -0.2078607574181068, 0.09793385752844949, 0.10176677744142539, 0.08267868878753033, -0.18037381496951851, 0.15717953446843705, -0.09523067363472872, 0.12334758158486206, 0.07429077340354927, 0.058411525941432216, 0.20026898195367743, -0.0033200823182110177, 0.07600256077793621, 0.11956236489471807, 0.06488254550454575, -0.14002930796380306, -0.42326169705754796, -0.15684844068316525, -0.12446036519006241, 0.0999657254731066, -0.0983790371966004, -0.15287822553296412, 0.31543983208275467, 0.12548637290506862, 0.12747493128530507, 0.0893701946817685, 0.19787702332575655, 0.20922073030838917, 0.13995406354322684, 0.034928023054394436, 0.21295152117259974, 0.22225026645004575, 0.011624430706941111, -0.22730934198913272, -0.045893862150436227, 0.14414928067302288] |
711.0826 | Continuous Limit of Discrete Systems with Long-Range Interaction | Discrete systems with long-range interactions are considered. Continuous
medium models as continuous limit of discrete chain system are defined.
Long-range interactions of chain elements that give the fractional equations
for the medium model are discussed. The chain equations of motion with
long-range interaction are mapped into the continuum equation with the Riesz
fractional derivative. We formulate the consistent definition of continuous
limit for the systems with long-range interactions. In this paper, we consider
a wide class of long-range interactions that give fractional medium equations
in the continuous limit. The power-law interaction is a special case of this
class.
| physics.class-ph | discrete systems with longrange interactions are considered continuous medium models as continuous limit of discrete chain system are defined longrange interactions of chain elements that give the fractional equations for the medium model are discussed the chain equations of motion with longrange interaction are mapped into the continuum equation with the riesz fractional derivative we formulate the consistent definition of continuous limit for the systems with longrange interactions in this paper we consider a wide class of longrange interactions that give fractional medium equations in the continuous limit the powerlaw interaction is a special case of this class | [['discrete', 'systems', 'with', 'longrange', 'interactions', 'are', 'considered', 'continuous', 'medium', 'models', 'as', 'continuous', 'limit', 'of', 'discrete', 'chain', 'system', 'are', 'defined', 'longrange', 'interactions', 'of', 'chain', 'elements', 'that', 'give', 'the', 'fractional', 'equations', 'for', 'the', 'medium', 'model', 'are', 'discussed', 'the', 'chain', 'equations', 'of', 'motion', 'with', 'longrange', 'interaction', 'are', 'mapped', 'into', 'the', 'continuum', 'equation', 'with', 'the', 'riesz', 'fractional', 'derivative', 'we', 'formulate', 'the', 'consistent', 'definition', 'of', 'continuous', 'limit', 'for', 'the', 'systems', 'with', 'longrange', 'interactions', 'in', 'this', 'paper', 'we', 'consider', 'a', 'wide', 'class', 'of', 'longrange', 'interactions', 'that', 'give', 'fractional', 'medium', 'equations', 'in', 'the', 'continuous', 'limit', 'the', 'powerlaw', 'interaction', 'is', 'a', 'special', 'case', 'of', 'this', 'class']] | [-0.1921546884660362, 0.16289088616565783, -0.029631097227268453, 0.07738169966317827, -0.04158514342508374, -0.1312692853698165, -0.04925563899985495, 0.3650236276491564, -0.2995602557606691, -0.2417948226140318, 0.06824690315691868, -0.3098721733359544, -0.11153916959479755, 0.10222517987665701, 0.049437561039147634, 0.038417040888334114, 0.02056751780363978, 0.0059405350036044816, -0.050328467796765725, -0.16723401992990428, 0.3414753214646207, -0.046623690367429235, 0.18910964342708492, 0.024271704494116867, 0.11492820996410992, 0.054396599031211475, 0.00965256664939985, 0.014171170926063644, -0.12458332723594029, 0.07958870892393954, 0.20163871419464732, -0.05553178003114857, 0.2436685812830621, -0.4513349275541853, -0.29490739625061346, 0.1436961322775757, 0.13191884626843492, 0.09139930851263356, -0.012806737396333898, -0.3389729602685274, -0.009732272734922566, -0.22108694155729014, -0.17594692565272657, -0.07480961068210248, 0.05497433764061758, 0.13565373945297027, -0.2831749307200769, 0.15740801506124588, 0.11837843685334891, 0.04027830842616303, -0.10776804393271402, -0.0619708675622693, 0.0007507374548182196, 0.09053584964641807, 0.006438909899158289, -0.003350222375177379, 0.05554187000843183, -0.12471095071060165, -0.11435274270895336, 0.41870596624758777, -0.10144555235842281, -0.2528869873482962, 0.1946155621423101, -0.13863486659770108, -0.14827166569932382, 0.13972632780086297, 0.18964680992256927, 0.1017098324943562, -0.20818996281192012, 0.12949206118414902, -0.025627840604937197, 0.15401993977019982, -0.042100768469806225, 0.08358603244533344, 0.16406408923545054, 0.18203099164161451, 0.0691433822051907, 0.18186376169704052, 0.011528152868369052, -0.1989848515284913, -0.33682956033367284, -0.12810294011759818, -0.1697524895330853, 0.026693031552950948, -0.0990551236389699, -0.19951792010011113, 0.33628416852075227, 0.16531983904848616, 0.1421967089337734, 0.0914044416062914, 0.1811387245638334, 0.21879220286227422, 0.00019913705122866194, -0.0006494965470795121, 0.20088708194504892, 0.16927635012080475, 0.10468676384082254, -0.18171430627425791, 0.01071547363333556, 0.1099609437336841] |
711.0827 | Unveiling the nature of RX J0002+6246 with XMM-Newton | The X-ray source RX J0002+6246 was discovered close to the supernova remnant
CTB1 in a ROSAT observation performed in 1992. The source phenomenology (soft
spectrum, apparent lack of counterparts, possible pulsations at 242 ms, hints
for surrounding diffuse emission) led to interpret it as an isolated neutron
star in a new supernova remnant. We have analysed an archival XMM-Newton
observation performed in 2001. The source coordinates, as computed on the
XMM-Newton images, coincide with those of a bright source listed in optical and
infrared catalogues. The X-ray spectrum is well described by an optically thin
plasma model. No fast pulsations are seen, nor clear evidence of a supernova
remnant associated to the source. Thus, we conclude that RX J0002+6246 is not
an isolated neutron star, but the X-ray counterpart of the bright
optical/infrared source, most likely a F7 spectral class star located at about
0.2 kpc.
| astro-ph | the xray source rx j00026246 was discovered close to the supernova remnant ctb1 in a rosat observation performed in 1992 the source phenomenology soft spectrum apparent lack of counterparts possible pulsations at 242 ms hints for surrounding diffuse emission led to interpret it as an isolated neutron star in a new supernova remnant we have analysed an archival xmmnewton observation performed in 2001 the source coordinates as computed on the xmmnewton images coincide with those of a bright source listed in optical and infrared catalogues the xray spectrum is well described by an optically thin plasma model no fast pulsations are seen nor clear evidence of a supernova remnant associated to the source thus we conclude that rx j00026246 is not an isolated neutron star but the xray counterpart of the bright opticalinfrared source most likely a f7 spectral class star located at about 02 kpc | [['the', 'xray', 'source', 'rx', 'j00026246', 'was', 'discovered', 'close', 'to', 'the', 'supernova', 'remnant', 'ctb1', 'in', 'a', 'rosat', 'observation', 'performed', 'in', '1992', 'the', 'source', 'phenomenology', 'soft', 'spectrum', 'apparent', 'lack', 'of', 'counterparts', 'possible', 'pulsations', 'at', '242', 'ms', 'hints', 'for', 'surrounding', 'diffuse', 'emission', 'led', 'to', 'interpret', 'it', 'as', 'an', 'isolated', 'neutron', 'star', 'in', 'a', 'new', 'supernova', 'remnant', 'we', 'have', 'analysed', 'an', 'archival', 'xmmnewton', 'observation', 'performed', 'in', '2001', 'the', 'source', 'coordinates', 'as', 'computed', 'on', 'the', 'xmmnewton', 'images', 'coincide', 'with', 'those', 'of', 'a', 'bright', 'source', 'listed', 'in', 'optical', 'and', 'infrared', 'catalogues', 'the', 'xray', 'spectrum', 'is', 'well', 'described', 'by', 'an', 'optically', 'thin', 'plasma', 'model', 'no', 'fast', 'pulsations', 'are', 'seen', 'nor', 'clear', 'evidence', 'of', 'a', 'supernova', 'remnant', 'associated', 'to', 'the', 'source', 'thus', 'we', 'conclude', 'that', 'rx', 'j00026246', 'is', 'not', 'an', 'isolated', 'neutron', 'star', 'but', 'the', 'xray', 'counterpart', 'of', 'the', 'bright', 'opticalinfrared', 'source', 'most', 'likely', 'a', 'f7', 'spectral', 'class', 'star', 'located', 'at', 'about', '02', 'kpc']] | [-0.07499674203564653, 0.05217982500741076, -0.07770640724110645, 0.14597586255644324, -0.16773646370462186, -0.08290457923837996, 0.07786683353328414, 0.48372994623817767, -0.19165481260543774, -0.33195037493104496, 0.11035302075332722, -0.35613377340841335, 0.016391397851122008, 0.23343119366172624, -0.022799544612766353, -0.06743636402591308, 0.09760354109103564, -0.027258033297591275, -0.04112622385862498, -0.20164115876985153, 0.2462091373501124, 0.13200235339467759, 0.15446881028348125, -0.028624247228791873, 0.06137447470434375, -0.07986298240346743, -0.10509594336438638, -0.07277333434228297, -0.06627869637335213, -0.022472737529608128, 0.23327088928233972, 0.1159604140882986, 0.13000739219197938, -0.3539155439727686, -0.24702587619304195, 0.048535691629574225, 0.19808101527542657, -0.01693156799887652, -0.07415890002418049, -0.3116047179938613, 0.04647622072509119, -0.23132523572417563, -0.2536229248796883, 0.09496505336406139, 0.051405023627953565, -0.017127754858701483, -0.14562134432217264, 0.11922194382788001, 0.021726440374537574, 0.07245326034034362, -0.16736369004955035, -0.056474517737808344, -0.010062521344728091, 0.02846398326353385, 0.023974622989731183, 0.10953219551788447, 0.09058764098876423, -0.13934376038663038, -0.08740343600251041, 0.35253727508357147, -0.030591486932032487, 0.06986825691594684, 0.22462519384526575, -0.1920320799808715, -0.2172440979271554, 0.22682820325652203, 0.0655238460488878, 0.11664911436398963, -0.19181290907147047, -0.002615698030691877, -0.0493242002932446, 0.2655893426528526, 0.08224332212450934, 0.0865900159769808, 0.3550044024245931, 0.10795087509762522, -0.04372225567483558, 0.1746671547904819, -0.28571137170986294, 0.03159577252751972, -0.2635923819828101, -0.02241786042882872, -0.17116196816697574, 0.11016897902788572, -0.05810551672929269, -0.15549791620887973, 0.2934377030957933, 0.0323775743127807, 0.15461946354358347, -0.07246586768985629, 0.26841947804954086, 0.0660582914333009, 0.05435743363626249, 0.15430573867047792, 0.3367966784659278, 0.17910889453267664, 0.1264874841644424, -0.21647369407013162, 0.046420375923984326, -0.020488509852960184] |
711.0828 | Pseudo-Goldstone Higgs Production via Gluon Fusion | The gluon-gluon-higgs amplitude is investigated in the context of 5D models
of gauge-higgs unification. A simple algorithm allows to include, in a fully
analytical way, the contribution of the whole Kaluza-Klein tower of a 5D quark
to the amplitude. This algorithm is applied to realistic models based on SO(5)
symmetry. Within the studied classes of models, the higgs production cross
section is always suppressed.
| hep-ph | the gluongluonhiggs amplitude is investigated in the context of 5d models of gaugehiggs unification a simple algorithm allows to include in a fully analytical way the contribution of the whole kaluzaklein tower of a 5d quark to the amplitude this algorithm is applied to realistic models based on so5 symmetry within the studied classes of models the higgs production cross section is always suppressed | [['the', 'gluongluonhiggs', 'amplitude', 'is', 'investigated', 'in', 'the', 'context', 'of', '5d', 'models', 'of', 'gaugehiggs', 'unification', 'a', 'simple', 'algorithm', 'allows', 'to', 'include', 'in', 'a', 'fully', 'analytical', 'way', 'the', 'contribution', 'of', 'the', 'whole', 'kaluzaklein', 'tower', 'of', 'a', '5d', 'quark', 'to', 'the', 'amplitude', 'this', 'algorithm', 'is', 'applied', 'to', 'realistic', 'models', 'based', 'on', 'so5', 'symmetry', 'within', 'the', 'studied', 'classes', 'of', 'models', 'the', 'higgs', 'production', 'cross', 'section', 'is', 'always', 'suppressed']] | [-0.11309181503759372, 0.14458154334080597, -0.07153466413728893, 0.14898400057831573, -0.06638547189539254, -0.1158118903976939, 0.018341540957667997, 0.3360143881586809, -0.18114045545429228, -0.2746650938033348, 0.009339697396619216, -0.1879414881190141, -0.0974818032626654, 0.14115494473408613, 0.00830340654116183, 0.03380596169107963, -0.0016124810402592022, 0.056143176860161244, -0.06769134130861078, -0.265779556085666, 0.3137136936069481, 0.04479513129603768, 0.2934498666002164, 0.06678385916166008, 0.0844990061448207, -0.014652149522647498, 0.002894694803260444, -0.03670163795588508, -0.1056290455753841, 0.1481320122256875, 0.2007258417013093, 0.07361182099622157, 0.14241355663490673, -0.367859762768069, -0.18861330414028277, 0.0923239192999308, 0.1701178472149112, 0.18203794957685565, -0.026686326053643985, -0.28184482443427283, 0.07654109527726495, -0.24591601016147743, -0.13922481803548714, -0.042206808348141965, -0.028017574559069343, -0.13219894440696825, -0.3210181864865479, 0.06481950596669718, -0.0025835337915590833, -0.005105564411404351, -0.04905249914320718, -0.09129735064648446, -0.07652521162988647, 0.03043479439876382, 0.12987673132207303, 0.027994460581491392, 0.11596055500512381, -0.16458413626496043, -0.16112949353243625, 0.42112614923999425, -0.10236802308391484, -0.2178605957777195, 0.1481429684411971, -0.12531377157262927, -0.14426877553988662, 0.15181646395533804, 0.218459467359242, 0.14367242209568976, -0.14716885502021465, 0.21650997051111762, -0.028251961908406682, 0.18006687010786246, 0.004096523123157639, -0.01181927855525698, 0.22636726764695986, 0.25840589377496925, -0.02110933034222514, 0.12165416284863438, -0.04264161923146319, -0.13836598255863738, -0.3896065221301147, -0.10335331234253115, -0.06935185616806386, 0.03274531329848936, -0.062421498406264514, -0.15697153513541534, 0.43900127122030846, 0.11524604877368325, 0.21694321160958635, 0.029810522150780474, 0.30197443357772297, 0.09273522954696553, 0.10861024122300839, 0.016187663093977976, 0.29087646514739074, 0.17135178791506897, 0.09023901438044887, -0.20902033131717454, -0.014431038479660712, 0.1496244910217467] |
711.0829 | Instruction sequences with indirect jumps | We study sequential programs that are instruction sequences with direct and
indirect jump instructions. The intuition is that indirect jump instructions
are jump instructions where the position of the instruction to jump to is the
content of some memory cell. We consider several kinds of indirect jump
instructions. For each kind, we define the meaning of programs with indirect
jump instructions of that kind by means of a translation into programs without
indirect jump instructions. For each kind, the intended behaviour of a program
with indirect jump instructions of that kind under execution is the behaviour
of the translated program under execution on interaction with some memory
device.
| cs.PL | we study sequential programs that are instruction sequences with direct and indirect jump instructions the intuition is that indirect jump instructions are jump instructions where the position of the instruction to jump to is the content of some memory cell we consider several kinds of indirect jump instructions for each kind we define the meaning of programs with indirect jump instructions of that kind by means of a translation into programs without indirect jump instructions for each kind the intended behaviour of a program with indirect jump instructions of that kind under execution is the behaviour of the translated program under execution on interaction with some memory device | [['we', 'study', 'sequential', 'programs', 'that', 'are', 'instruction', 'sequences', 'with', 'direct', 'and', 'indirect', 'jump', 'instructions', 'the', 'intuition', 'is', 'that', 'indirect', 'jump', 'instructions', 'are', 'jump', 'instructions', 'where', 'the', 'position', 'of', 'the', 'instruction', 'to', 'jump', 'to', 'is', 'the', 'content', 'of', 'some', 'memory', 'cell', 'we', 'consider', 'several', 'kinds', 'of', 'indirect', 'jump', 'instructions', 'for', 'each', 'kind', 'we', 'define', 'the', 'meaning', 'of', 'programs', 'with', 'indirect', 'jump', 'instructions', 'of', 'that', 'kind', 'by', 'means', 'of', 'a', 'translation', 'into', 'programs', 'without', 'indirect', 'jump', 'instructions', 'for', 'each', 'kind', 'the', 'intended', 'behaviour', 'of', 'a', 'program', 'with', 'indirect', 'jump', 'instructions', 'of', 'that', 'kind', 'under', 'execution', 'is', 'the', 'behaviour', 'of', 'the', 'translated', 'program', 'under', 'execution', 'on', 'interaction', 'with', 'some', 'memory', 'device']] | [-0.171531380998473, 0.10496238369874104, -0.06229601723693863, 0.09502510045098865, -0.20495163341897918, -0.1906338442263573, 0.14273909267676235, 0.40954359700144444, -0.3170758573579843, -0.3290654729913782, 0.1357947352592385, -0.21529392307382766, -0.07976291289863487, 0.21660171387958582, -0.028303567251121556, 0.03338345578285279, 0.10130446719294586, 0.0643766516716116, -0.029405292196854674, -0.242704099738384, 0.29178486561350936, 0.009123397801347353, 0.18579178062026147, 0.007235399683445899, 0.10717400053033123, 0.006582329394640746, -0.0023759472080402905, -0.03056069432339562, -0.09866070662138993, 0.09289845572762985, 0.28289515848963576, 0.19465917921021442, 0.3046221343317517, -0.46821874116236967, -0.11443061980470601, 0.059446085046079976, 0.03272449289862481, 0.11321919187213536, -0.03865697814897565, -0.313847068283293, 0.06684976256305904, -0.1363043915135441, -0.0012753810517972819, -0.05052404056510164, 0.0072392047710578755, 0.06628325199320291, -0.2503440606545795, -0.019109663018887793, 0.10863206973859903, 0.10135474268140064, 0.007149421894508932, -0.11003113696696581, -0.006876361918532186, 0.12042804077026192, 0.05692329753246331, -0.037617446326529955, 0.20091589988226555, -0.09180332955697344, -0.21874765464518633, 0.3661669343020077, -0.06693485724153342, -0.21617568131639725, 0.18903340572163602, -0.10704311138208679, -0.1823587520306723, 0.13174913670108826, 0.1585674608229763, 0.043218674828056934, -0.15897739678621292, 0.058973869196186704, 0.0064148088244514335, 0.18961826621347833, 0.05938590450764254, 0.022250433823231747, 0.2039035340357158, 0.16334946134507103, 0.03746967472963863, 0.2010461985633743, -0.0399839531531109, -0.14635764790215977, -0.3885358371944339, -0.25644154618580445, -0.1324862998013419, 0.0037842277928979862, -0.033426904556782336, -0.1571126663626206, 0.35462932760344335, 0.15991138692738283, 0.14260132364169867, 0.14396990727012357, 0.3042458855370232, 0.11740565763924408, 0.1202918632199591, 0.03109156442547424, 0.03436158045412783, 0.0352199857782883, 0.13444200165449055, -0.2358631363561101, 0.2133115313783357, 0.026969402621034533] |
711.083 | Multidimensional Gauss Reduction Theory for conjugacy classes of SL(n,Z) | In this paper we describe the set of conjugacy classes in the group SL(n,Z).
We expand geometric Gauss Reduction Theory that solves the problem for SL(2,Z)
to the multidimensional case. Further we find complete invariant of classes in
terms of multidimensional Klein-Voronoi continued fractions, where
$\varsigma$-reduce Hessenberg matrices play the role of reduced matrices.
| math.NT math.RA | in this paper we describe the set of conjugacy classes in the group slnz we expand geometric gauss reduction theory that solves the problem for sl2z to the multidimensional case further we find complete invariant of classes in terms of multidimensional kleinvoronoi continued fractions where varsigmareduce hessenberg matrices play the role of reduced matrices | [['in', 'this', 'paper', 'we', 'describe', 'the', 'set', 'of', 'conjugacy', 'classes', 'in', 'the', 'group', 'slnz', 'we', 'expand', 'geometric', 'gauss', 'reduction', 'theory', 'that', 'solves', 'the', 'problem', 'for', 'sl2z', 'to', 'the', 'multidimensional', 'case', 'further', 'we', 'find', 'complete', 'invariant', 'of', 'classes', 'in', 'terms', 'of', 'multidimensional', 'kleinvoronoi', 'continued', 'fractions', 'where', 'varsigmareduce', 'hessenberg', 'matrices', 'play', 'the', 'role', 'of', 'reduced', 'matrices']] | [-0.14982695921431655, 0.08972078602975951, -0.022057356097950384, 0.05791957857973802, -0.06061389059938777, -0.02167940275886884, 0.046910032585191615, 0.2977339066923238, -0.3181527324307423, -0.23619154958914107, 0.08079962516785599, -0.23507945540432745, -0.21340240710952246, 0.19397778837726667, -0.12103035669917098, 0.030044482913441382, 0.06771196189443938, 0.01745278721388716, -0.16703482226092511, -0.3156010604893359, 0.3927513507212727, -0.026752528591224782, 0.21018566004931927, 0.013914710253280086, 0.0919842948922171, 0.0200264755761824, -0.08041992034906378, 0.0031979394933352103, -0.13111261606214752, 0.14752723007740526, 0.3127085858096297, 0.12741764577423545, 0.2044887975610506, -0.4021572321653366, -0.1381641413944845, 0.22076396268899912, 0.16406085440450205, 0.04923139580597098, -0.049973356255437605, -0.21161750218239972, 0.10651050542051402, -0.18619930206869656, -0.15950226832109576, -0.07153966216943584, 0.054960753267201096, -0.025597126509707708, -0.26374015054450584, 0.061599537586936585, 0.10611302290971462, 0.06730722904635164, -0.034225897111285195, -0.11285928294707376, 0.05829394335160032, 0.13239516088595757, 0.03835252600793655, -0.008051553696322326, 0.08740670970963457, -0.11083576118555637, -0.08908823193409122, 0.4223232828080654, -0.02949746443818395, -0.270481910269994, 0.0981889935837199, -0.16585967732736698, -0.2596439884688992, 0.13088047647705445, 0.22862319620953014, 0.1315225841065582, -0.05174420915472393, 0.1789928989377446, -0.15604578807520178, 0.09879580211754029, 0.0821125936613848, 0.0072410744346248414, 0.11524751216459733, 0.0815896345839764, 0.07336224058795218, 0.21732321868722254, 0.04863324188269102, -0.0597275778821383, -0.3206328233354725, -0.2155452804066814, -0.08532169399012883, 0.0728676761058383, -0.11257568810385866, -0.1849487775650162, 0.4336106819458879, 0.10377363802399486, 0.1627035210124002, 0.1028374281953662, 0.14742950951823822, 0.1400627788459063, 0.030336868883051257, 0.05018536730382878, 0.1349511094068965, 0.19526723965715903, 0.011303144489200069, -0.21564567047887698, -0.034020253260118455, 0.22250962373800576] |
711.0831 | Dynamical Transitions of a Driven Ising Interface | We study the structure of an interface in a three dimensional Ising system
created by an external non-uniform field $H({\bf r},t)$. $H$ changes sign over
a two dimensional plane of arbitrary orientation. When the field is pulled with
velocity ${\bf v}_e$, (i.e. $H({\bf r},t) = H({\bf r - v_e}t)$), the interface
undergoes a several dynamical transitions. For low velocities it is pinned by
the field profile and moves along with it, the distribution of local slopes
undergoing a series of commensurate-incommensurate transitions. For large ${\bf
v}_e$ the interface de-pinns and grows with KPZ exponents.
| cond-mat.stat-mech | we study the structure of an interface in a three dimensional ising system created by an external nonuniform field hbf rt h changes sign over a two dimensional plane of arbitrary orientation when the field is pulled with velocity bf v_e ie hbf rt hbf r v_et the interface undergoes a several dynamical transitions for low velocities it is pinned by the field profile and moves along with it the distribution of local slopes undergoing a series of commensurateincommensurate transitions for large bf v_e the interface depinns and grows with kpz exponents | [['we', 'study', 'the', 'structure', 'of', 'an', 'interface', 'in', 'a', 'three', 'dimensional', 'ising', 'system', 'created', 'by', 'an', 'external', 'nonuniform', 'field', 'hbf', 'rt', 'h', 'changes', 'sign', 'over', 'a', 'two', 'dimensional', 'plane', 'of', 'arbitrary', 'orientation', 'when', 'the', 'field', 'is', 'pulled', 'with', 'velocity', 'bf', 'v_e', 'ie', 'hbf', 'rt', 'hbf', 'r', 'v_et', 'the', 'interface', 'undergoes', 'a', 'several', 'dynamical', 'transitions', 'for', 'low', 'velocities', 'it', 'is', 'pinned', 'by', 'the', 'field', 'profile', 'and', 'moves', 'along', 'with', 'it', 'the', 'distribution', 'of', 'local', 'slopes', 'undergoing', 'a', 'series', 'of', 'commensurateincommensurate', 'transitions', 'for', 'large', 'bf', 'v_e', 'the', 'interface', 'depinns', 'and', 'grows', 'with', 'kpz', 'exponents']] | [-0.23936102790758013, 0.2018927617752019, -0.052863124173341526, -0.051223541524571675, -0.03858090176816202, -0.16034667580000436, -0.011350233415659104, 0.38135515105419066, -0.28792727161198856, -0.24469619020819663, 0.06248228084166638, -0.24759985278877947, -0.106628799598871, 0.14669444368531306, 0.04853613834129646, -0.016632860754099157, -0.04122760945724117, 0.01696251918716977, -0.07478520218670989, -0.17296875395242953, 0.28474090987712974, -0.029430745252304606, 0.27943779240465827, -0.025672032539215354, 0.0966521105159902, 0.04062130452326124, 0.0558011698226134, 0.08717099693086412, -0.18162360439697903, 0.015156878421758948, 0.16961438072224458, 0.001208824095212751, 0.24250200036137054, -0.3618501021319793, -0.18929309144926568, 0.02929592569772568, 0.12360067401702206, 0.08605522906614674, -0.028733900838738516, -0.2747718685203128, 0.062093364136914415, -0.1319662956106994, -0.16152445511478516, 0.022082461442591416, 0.11625234250677749, 0.03976352415306287, -0.30448381443210465, 0.10574017589032236, 0.06611675378290885, 0.14937875342503604, -0.05476274638850656, -0.057129868486016575, -0.08705628625013762, 0.0949264472366647, 0.044443116031794086, 0.15182139105939615, 0.14055261593312024, -0.16641777094870727, -0.042314259325050646, 0.35077889354692565, -0.10179443219288563, -0.16974612965196784, 0.19732389026838873, -0.18355981098591453, -0.06344786869982878, 0.18783597129707535, 0.15040837126887507, 0.08932402994380229, -0.06748934314576521, 0.1536992917370905, 0.0015749596887164646, 0.16062997311560645, 0.04240986300477137, -0.08712303275759849, 0.21730332689152823, 0.05675508201691425, 0.07105622223785354, 0.16880217821647722, -0.1470630842539524, -0.11424638569975892, -0.29367093007183737, -0.20193321022929417, -0.18452154371706356, 0.06760169482893413, -0.11876312913340775, -0.2137516542027394, 0.38914275793876085, 0.0985865387121319, 0.257969116147918, 0.006802520994096994, 0.22381174462950892, 0.14526839929425883, 0.039956145040276975, 0.14941748421535725, 0.13850287541540132, 0.15611196159799065, 0.13016671030652813, -0.22412919430062175, 0.015809294746981728, 0.05230451428020994] |
711.0832 | Covariant formulation of Noether's Theorem for translations on
kappa-Minkowski spacetime | The problem of finding a formulation of Noether's theorem in noncommutative
geometry is very important in order to obtain conserved currents and charges
for particles in noncommutative spacetimes. In this paper, we formulate
Noether's theorem for translations of kappa-Minkowski noncommutative spacetime
on the basis of the 5-dimensional kappa-Poincare' covariant differential
calculus. We focus our analysis on the simple case of free scalar theory. We
obtain five conserved Noether currents, which give rise to five energy-momentum
charges. By applying our result to plane waves it follows that the
energy-momentum charges satisfy a special-relativity dispersion relation with a
generalized mass given by the fifth charge. In this paper we provide also a
rigorous derivation of the equation of motion from Hamilton's principle in
noncommutative spacetime, which is necessary for the Noether analysis.
| hep-th | the problem of finding a formulation of noethers theorem in noncommutative geometry is very important in order to obtain conserved currents and charges for particles in noncommutative spacetimes in this paper we formulate noethers theorem for translations of kappaminkowski noncommutative spacetime on the basis of the 5dimensional kappapoincare covariant differential calculus we focus our analysis on the simple case of free scalar theory we obtain five conserved noether currents which give rise to five energymomentum charges by applying our result to plane waves it follows that the energymomentum charges satisfy a specialrelativity dispersion relation with a generalized mass given by the fifth charge in this paper we provide also a rigorous derivation of the equation of motion from hamiltons principle in noncommutative spacetime which is necessary for the noether analysis | [['the', 'problem', 'of', 'finding', 'a', 'formulation', 'of', 'noethers', 'theorem', 'in', 'noncommutative', 'geometry', 'is', 'very', 'important', 'in', 'order', 'to', 'obtain', 'conserved', 'currents', 'and', 'charges', 'for', 'particles', 'in', 'noncommutative', 'spacetimes', 'in', 'this', 'paper', 'we', 'formulate', 'noethers', 'theorem', 'for', 'translations', 'of', 'kappaminkowski', 'noncommutative', 'spacetime', 'on', 'the', 'basis', 'of', 'the', '5dimensional', 'kappapoincare', 'covariant', 'differential', 'calculus', 'we', 'focus', 'our', 'analysis', 'on', 'the', 'simple', 'case', 'of', 'free', 'scalar', 'theory', 'we', 'obtain', 'five', 'conserved', 'noether', 'currents', 'which', 'give', 'rise', 'to', 'five', 'energymomentum', 'charges', 'by', 'applying', 'our', 'result', 'to', 'plane', 'waves', 'it', 'follows', 'that', 'the', 'energymomentum', 'charges', 'satisfy', 'a', 'specialrelativity', 'dispersion', 'relation', 'with', 'a', 'generalized', 'mass', 'given', 'by', 'the', 'fifth', 'charge', 'in', 'this', 'paper', 'we', 'provide', 'also', 'a', 'rigorous', 'derivation', 'of', 'the', 'equation', 'of', 'motion', 'from', 'hamiltons', 'principle', 'in', 'noncommutative', 'spacetime', 'which', 'is', 'necessary', 'for', 'the', 'noether', 'analysis']] | [-0.1589625757581626, 0.09736277961816925, -0.10882964936944728, 0.10226393786187356, -0.13989684445640216, -0.10046593556896999, -0.03835739430684883, 0.2531367655127094, -0.2209726689598308, -0.2762202477440811, 0.04174581645952108, -0.2391922693878699, -0.14994105556263373, 0.15513587893488315, -0.1037713427347346, -0.003035958741719906, -0.00475174394579461, 0.05947518817780432, -0.11438656210576972, -0.19275469759550806, 0.38724961584577194, 0.010599265136541082, 0.26825511583771844, 0.06153778459232014, 0.1688625736735188, 0.049155591589470325, -0.06324956636302746, 0.025199813309770364, -0.18466640437909518, 0.1196167295646424, 0.23615048999110094, 0.0750827370569683, 0.16062384482759695, -0.41858184174276314, -0.15750384754501284, 0.07524603021760973, 0.10349368064377744, 0.15822079120239674, -0.0660653864302171, -0.2840581510592109, 0.05634369380557193, -0.19603033042154633, -0.20724040489070691, -0.0949612732618474, 0.0499610082174723, -0.04562245466961311, -0.23315702304602243, 0.15438291939633647, 0.11397207949238901, 0.04244633764744951, -0.12315435603869936, -0.042536287407319136, -0.04477219016721042, 0.04356165367106979, 0.09899612137546333, 0.025485749134364036, 0.1159678291887618, -0.06317363960596804, -0.1441383891962827, 0.39245206628066415, -0.03407262703851582, -0.33237485288857266, 0.05746499330091935, -0.1492130898297406, -0.19506981370325846, 0.05194512652233243, 0.12464519935445144, 0.1857086286557695, -0.2036056148676345, 0.14741037838975898, -0.08183647114425324, 0.08122505668120888, 0.12800715202465654, 0.026801669546582092, 0.21920777888825307, 0.056191323264143785, 0.10263360881676467, 0.1270176893673264, 0.022427226406020614, -0.1482576446836062, -0.43559329544122405, -0.2070010194984766, -0.14128835858830896, 0.14498993946561733, -0.13810609326901613, -0.14606477688424863, 0.37595960640106707, 0.1652472951843475, 0.09493817033676001, 0.06805424941166376, 0.25099641097566255, 0.17799587215905865, 0.0666912436700211, 0.046488061726379856, 0.24234347415264124, 0.24575867751219238, 0.14644594706433753, -0.16325275909263068, -0.12327764387815618, 0.21116855933259313] |
711.0833 | On extracting information about hadron-nuclear interaction from hadronic
atom level shifts | It is argued, that adjusting strong potentials directly to observed hadronic
atom level shifts may lead to significantly different scattering lengths, than
those, predicted by the Deser formula. On the example of the 1s level shift of
kaonic hydrogen it is demonstrated, that the usually adopted Deser values
deduced from the two recent measurements in KEK and by the DEAR Collaboration
$a_D({\rm KEK}) = 0.78 - 0.49i$ fm and $a_D({\rm DEAR}) = 0.47 - 0.3i$ fm
should be replaced by $a_s({\rm KEK})\simeq 0.85 - 0.62i$ fm and $a_s({\rm
DEAR})\simeq 0.49 - 0.35i$ fm, correspondingly.
| nucl-th | it is argued that adjusting strong potentials directly to observed hadronic atom level shifts may lead to significantly different scattering lengths than those predicted by the deser formula on the example of the 1s level shift of kaonic hydrogen it is demonstrated that the usually adopted deser values deduced from the two recent measurements in kek and by the dear collaboration a_drm kek 078 049i fm and a_drm dear 047 03i fm should be replaced by a_srm keksimeq 085 062i fm and a_srm dearsimeq 049 035i fm correspondingly | [['it', 'is', 'argued', 'that', 'adjusting', 'strong', 'potentials', 'directly', 'to', 'observed', 'hadronic', 'atom', 'level', 'shifts', 'may', 'lead', 'to', 'significantly', 'different', 'scattering', 'lengths', 'than', 'those', 'predicted', 'by', 'the', 'deser', 'formula', 'on', 'the', 'example', 'of', 'the', '1s', 'level', 'shift', 'of', 'kaonic', 'hydrogen', 'it', 'is', 'demonstrated', 'that', 'the', 'usually', 'adopted', 'deser', 'values', 'deduced', 'from', 'the', 'two', 'recent', 'measurements', 'in', 'kek', 'and', 'by', 'the', 'dear', 'collaboration', 'a_drm', 'kek', '078', '049i', 'fm', 'and', 'a_drm', 'dear', '047', '03i', 'fm', 'should', 'be', 'replaced', 'by', 'a_srm', 'keksimeq', '085', '062i', 'fm', 'and', 'a_srm', 'dearsimeq', '049', '035i', 'fm', 'correspondingly']] | [-0.05457692446175198, 0.23999011881339052, -0.07404856720509437, 0.10961164832145023, -0.0071043011804039664, -0.1599386159855968, 0.07518229727597478, 0.3589183261665778, -0.15782396707874843, -0.3260373036998014, 0.02632797093172438, -0.34905265534344393, -0.01684082805728301, 0.18116874393457785, 0.027050792812727965, 0.027275610791455105, 0.06440615142510535, 0.0014325172329942386, -0.09845002404509638, -0.19532026468406025, 0.2715174175010851, 0.10448415450250301, 0.31331193087718046, 0.12139872949009235, 0.001418502953572151, -0.0017141736805056913, 0.0010783827075591455, -0.013539319625124335, -0.11989343729417157, 0.07451418647990347, 0.21789297468673724, 0.03788828823822909, 0.1571223341071835, -0.355948011080424, -0.15388521309106204, 0.05607123144018727, 0.10141133005993488, 0.07681527496196139, 0.018347650317128938, -0.38262276630848646, 0.10554188559166132, -0.19608266215222195, -0.11532676827090864, -0.024817491600958582, 0.06577600677832006, -0.04606317308020945, -0.28102082229004455, 0.05991077263994763, -0.004860354097894369, 0.06193249725784438, -0.055910249604867436, -0.26422706328762263, -0.04139301892465506, 0.040044491191227466, 0.042074834978661664, 0.16019776474329261, 0.15173797586407417, -0.027395557525615472, -0.06709377868817402, 0.39557664645596957, -0.07906349563097301, -0.07324634128524803, 0.1211895235576846, -0.19519247326593941, -0.08214973406985593, 0.1442372722025865, 0.04422308406673181, 0.013020286933542827, -0.14593692908947092, 0.028320681483586296, 0.047922380113353334, 0.25703159221806204, 0.1495247820798212, -0.0033902112836352526, 0.19787504410562226, 0.11043933310951942, -0.02143586090264412, 0.024945705506699875, -0.08254263847051427, -0.08586747842864731, -0.19993186847139627, -0.04446587752840386, -0.1774414894171059, 0.08207855112134264, -0.05565270070432094, -0.028217424319173474, 0.2947827721050439, 0.1048185517369674, 0.22551787950289556, -0.04532351464522668, 0.26590165465126914, 0.12504942607558453, 0.11725785678180937, -0.009771667346238898, 0.32517570168830645, 0.15558859520257476, 0.12362427838170567, -0.23222922830161855, 0.07268880125141153, 0.0486859274813189] |
711.0834 | An interface group for process components | We take a process component as a pair of an interface and a behaviour. We
study the composition of interacting process components in the setting of
process algebra. We formalize the interfaces of interacting process components
by means of an interface group. An interesting feature of the interface group
is that it allows for distinguishing between expectations and promises in
interfaces of process components. This distinction comes into play in case
components with both client and server behaviour are involved.
| cs.LO | we take a process component as a pair of an interface and a behaviour we study the composition of interacting process components in the setting of process algebra we formalize the interfaces of interacting process components by means of an interface group an interesting feature of the interface group is that it allows for distinguishing between expectations and promises in interfaces of process components this distinction comes into play in case components with both client and server behaviour are involved | [['we', 'take', 'a', 'process', 'component', 'as', 'a', 'pair', 'of', 'an', 'interface', 'and', 'a', 'behaviour', 'we', 'study', 'the', 'composition', 'of', 'interacting', 'process', 'components', 'in', 'the', 'setting', 'of', 'process', 'algebra', 'we', 'formalize', 'the', 'interfaces', 'of', 'interacting', 'process', 'components', 'by', 'means', 'of', 'an', 'interface', 'group', 'an', 'interesting', 'feature', 'of', 'the', 'interface', 'group', 'is', 'that', 'it', 'allows', 'for', 'distinguishing', 'between', 'expectations', 'and', 'promises', 'in', 'interfaces', 'of', 'process', 'components', 'this', 'distinction', 'comes', 'into', 'play', 'in', 'case', 'components', 'with', 'both', 'client', 'and', 'server', 'behaviour', 'are', 'involved']] | [-0.19082577553235752, 0.09092878534775081, -0.1435955399996601, 0.0058899120731666695, -0.06632348567072768, -0.13318681212840602, 0.039643539232201874, 0.40941718965768814, -0.30845711022266187, -0.2820622175466269, 0.06833816003781976, -0.29578917600465504, -0.13592373737483285, 0.16282442968222313, -0.0008403905667364597, -0.03877226148033515, 0.04571602129144594, -0.018345508867059834, 0.03153324738668743, -0.14531819022959097, 0.3928168003913015, 0.03825227280613035, 0.2713270075852051, 0.03899444022099487, 0.09693079268909059, 0.06663973639369943, -0.013506431551650166, -0.025025440666649957, -0.04610561181661978, 0.11017799632390961, 0.2654080085398164, 0.10355269953142851, 0.23444892216357402, -0.44862449320498854, -0.15679773824522272, 0.071005250379676, 0.15802662710193544, 0.0331784284877358, -0.08328040490741842, -0.23118637768930056, 0.04249625919619575, -0.17738621239550412, -0.12270201036008074, -0.01240813845070079, 0.028728914060775424, -0.034601241667405705, -0.2710677984170616, 0.03198700829525478, 0.11475654290989042, 0.07084125474793837, -0.03360799316506018, -0.04577980152098462, -0.002276663586962968, 0.2237521829607431, 0.037482691202239946, -0.013865375230670907, 0.14746296220109797, -0.17827854099159596, -0.11782639701268635, 0.3816426331643015, -0.06714815974482917, -0.1787974871636834, 0.2743131620809436, -0.08676527139614336, -0.13108546403818763, 0.09862969716778025, 0.1922299005702371, 0.0832988379173912, -0.18412966079777107, 0.10532013693373302, 0.02024048250168562, 0.15837420466414187, -0.031045677195652387, 0.00356601225794293, 0.21297788727097214, 0.19410497242351993, 0.04049158851812536, 0.2017596492136363, -0.009826861415058374, -0.1135650729527697, -0.32254970548674466, -0.2893976997002028, -0.12744972109794617, -0.0264360385506734, -0.08589840854201611, -0.1588841638789745, 0.38104728816542777, 0.15322073308052495, 0.2260629319702275, 0.0037673291808459908, 0.2476188105996698, 0.1359778207479394, 0.04195193257182837, 0.04443938735639676, 0.16340753256808965, 0.13334092155855615, 0.06236285006161779, -0.1438149698486086, 0.11323565355269238, 0.03278475037659519] |
711.0835 | Fast hadron freeze-out generator, part II: noncentral collisions | The fast Monte Carlo procedure of hadron generation developed in our previous
work is extended to describe noncentral collisions of nuclei. We consider
different possibilities to introduce appropriate asymmetry of the freeze-out
hyper-surface and flow velocity profile. For comparison with other models and
experimental data we demonstrate the results based on the standard
parametrizations of the hadron freeze-out hyper-surface and flow velocity
profile assuming either a common chemical and thermal freeze-out or the
chemically frozen evolution from chemical to thermal freeze-out. The C++
generator code is written under the ROOT framework and is available for public
use at http://uhkm.jinr.ru/
| hep-ph | the fast monte carlo procedure of hadron generation developed in our previous work is extended to describe noncentral collisions of nuclei we consider different possibilities to introduce appropriate asymmetry of the freezeout hypersurface and flow velocity profile for comparison with other models and experimental data we demonstrate the results based on the standard parametrizations of the hadron freezeout hypersurface and flow velocity profile assuming either a common chemical and thermal freezeout or the chemically frozen evolution from chemical to thermal freezeout the c generator code is written under the root framework and is available for public use at httpuhkmjinrru | [['the', 'fast', 'monte', 'carlo', 'procedure', 'of', 'hadron', 'generation', 'developed', 'in', 'our', 'previous', 'work', 'is', 'extended', 'to', 'describe', 'noncentral', 'collisions', 'of', 'nuclei', 'we', 'consider', 'different', 'possibilities', 'to', 'introduce', 'appropriate', 'asymmetry', 'of', 'the', 'freezeout', 'hypersurface', 'and', 'flow', 'velocity', 'profile', 'for', 'comparison', 'with', 'other', 'models', 'and', 'experimental', 'data', 'we', 'demonstrate', 'the', 'results', 'based', 'on', 'the', 'standard', 'parametrizations', 'of', 'the', 'hadron', 'freezeout', 'hypersurface', 'and', 'flow', 'velocity', 'profile', 'assuming', 'either', 'a', 'common', 'chemical', 'and', 'thermal', 'freezeout', 'or', 'the', 'chemically', 'frozen', 'evolution', 'from', 'chemical', 'to', 'thermal', 'freezeout', 'the', 'c', 'generator', 'code', 'is', 'written', 'under', 'the', 'root', 'framework', 'and', 'is', 'available', 'for', 'public', 'use', 'at', 'httpuhkmjinrru']] | [-0.05882465178966617, 0.1183085125450482, -0.1738458137046926, 0.04791492046859609, -0.038567758830530305, -0.1400953637654608, -0.03626776933289912, 0.35890825404500476, -0.2564864449953774, -0.27144680875448546, 0.04604070691501114, -0.29336585724080094, 0.020890496027351796, 0.16013286686359848, 0.03251635964142577, 0.07272391067342643, 0.11623187943798852, -0.006969905553423628, -0.05199810227958904, -0.22198210855261707, 0.34308330518459634, 0.08378655914150711, 0.26139413597708455, 0.09503139957621674, 0.08863116607511873, -0.008311704810285864, -0.05617500683387779, 0.0004741017069971683, -0.17932147925187433, 0.07346360398039498, 0.19590202362766776, 0.11845988536500657, 0.1298193855838356, -0.42150579516452796, -0.23920004699873376, 0.12278772558902903, 0.12468661250052404, 0.1498462421064056, -0.09132116779860831, -0.21583160675339857, 0.05902537416871067, -0.1998022277649416, -0.18630535006570648, -0.07011814046727151, -0.03476430683833908, 0.030299481724350884, -0.28792961269655093, 0.11185856307773585, -0.01786738788537985, 0.119405144084321, -0.02211489650534884, -0.16772959348080413, -0.07657979436608374, 0.018843602315446704, 0.03561433747277728, 0.0317748821036396, 0.2053635627826039, -0.09561022549834368, -0.04553191437462003, 0.4261240086765314, -0.09185675926962678, -0.15969104786422483, 0.20316147807348825, -0.09937041527496612, -0.13728984134100683, 0.09533170987709369, 0.19872252680646368, 0.13686023426850383, -0.19484418299885428, 0.04892401762807989, 0.016463313337263405, 0.11989295843760578, 0.02267116289918444, -0.053967973402682314, 0.19395640422114913, 0.1632487978358582, -0.017117057470794842, 0.12662311498733828, -0.1208586655390848, -0.13407175564112103, -0.35328562730657204, -0.14703194040695813, -0.14246356386301698, 0.011967966867591806, -0.10622040302019295, -0.12892031830222328, 0.392137792987787, 0.17358039425001764, 0.21809043611247778, 0.012147196920170468, 0.34075855090739016, 0.04546392481531758, 0.050556870976852596, 0.11478131645054994, 0.19235354962245543, 0.12640330345103784, 0.1558175035134642, -0.25207573566253166, 0.08615204417241776, 0.06226820568078939] |
711.0836 | Machine structure oriented control code logic | Control code is a concept that is closely related to a frequently occurring
practitioner's view on what is a program: code that is capable of controlling
the behaviour of some machine. We present a logical approach to explain issues
concerning control codes that are independent of the details of the behaviours
that are controlled. Using this approach, such issues can be explained at a
very abstract level. We illustrate this among other things by means of an
example about the production of a new compiler from an existing one. The
approach is based on abstract machine models, called machine structures. We
introduce a model of systems that provide execution environments for the
executable codes of machine structures and use it to go into portability of
control codes.
| cs.SE | control code is a concept that is closely related to a frequently occurring practitioners view on what is a program code that is capable of controlling the behaviour of some machine we present a logical approach to explain issues concerning control codes that are independent of the details of the behaviours that are controlled using this approach such issues can be explained at a very abstract level we illustrate this among other things by means of an example about the production of a new compiler from an existing one the approach is based on abstract machine models called machine structures we introduce a model of systems that provide execution environments for the executable codes of machine structures and use it to go into portability of control codes | [['control', 'code', 'is', 'a', 'concept', 'that', 'is', 'closely', 'related', 'to', 'a', 'frequently', 'occurring', 'practitioners', 'view', 'on', 'what', 'is', 'a', 'program', 'code', 'that', 'is', 'capable', 'of', 'controlling', 'the', 'behaviour', 'of', 'some', 'machine', 'we', 'present', 'a', 'logical', 'approach', 'to', 'explain', 'issues', 'concerning', 'control', 'codes', 'that', 'are', 'independent', 'of', 'the', 'details', 'of', 'the', 'behaviours', 'that', 'are', 'controlled', 'using', 'this', 'approach', 'such', 'issues', 'can', 'be', 'explained', 'at', 'a', 'very', 'abstract', 'level', 'we', 'illustrate', 'this', 'among', 'other', 'things', 'by', 'means', 'of', 'an', 'example', 'about', 'the', 'production', 'of', 'a', 'new', 'compiler', 'from', 'an', 'existing', 'one', 'the', 'approach', 'is', 'based', 'on', 'abstract', 'machine', 'models', 'called', 'machine', 'structures', 'we', 'introduce', 'a', 'model', 'of', 'systems', 'that', 'provide', 'execution', 'environments', 'for', 'the', 'executable', 'codes', 'of', 'machine', 'structures', 'and', 'use', 'it', 'to', 'go', 'into', 'portability', 'of', 'control', 'codes']] | [-0.11233008032280578, 0.061246163265158124, -0.12717907642842524, 0.10759266512376792, -0.09283439426382226, -0.17050465928733452, 0.04652976682666308, 0.37093226547081637, -0.32228186538838965, -0.30632938105818325, 0.13246237669565428, -0.23850431031818817, -0.1731410716462323, 0.27196161284507436, -0.10550716818185656, 0.03776906793717089, 0.0660448551368643, 0.013213751759007939, -0.04321436891442267, -0.24834437360510406, 0.3548567632513898, 0.07981403367813882, 0.25617771171121384, 0.024792015790851333, 0.09243538183724787, -0.030429392374729313, 0.007788366310419442, 0.01554234746447581, -0.09993010692030978, 0.18986905713778313, 0.2840561453269588, 0.23090008367809758, 0.3146270312383536, -0.39154510105424745, -0.21034805739012466, 0.03101858631597729, 0.1155166126362334, 0.14024876426414065, -0.0472452459347207, -0.2357502259226061, 0.12583721108371612, -0.18635563724894283, -0.09456781956264529, -0.10380229496811406, -0.03368482618468014, 0.026338515291458826, -0.23116834744752393, -0.04007516391062009, 0.07846511167375092, 0.10185063784524036, -0.028909923252099613, -0.07782458746805787, 0.04696361825060774, 0.13208004332506867, 0.014990047394943343, 0.02159647556231724, 0.15042014794761505, -0.12331740933243097, -0.18500366168991317, 0.40389792885132664, 0.00887792859607794, -0.21081859476160347, 0.21039597952452407, -0.01582555180620842, -0.16653387236416223, 0.07931378300441062, 0.21435928600473608, 0.10486676959379569, -0.17147742197152196, 0.07260075709406712, -0.030252722099306077, 0.20116798842773134, 0.002698389380642279, 0.022947352097230398, 0.212573088507542, 0.22033828669997652, 0.014533782682168907, 0.15860215982369066, 0.004248724302540966, -0.09111476515045785, -0.3068985311886457, -0.15438729506279306, -0.12906626616531294, -1.6440538410830685e-05, -0.02753900183906951, -0.1686659253566291, 0.39696918235813067, 0.23285370343914769, 0.17054922552412655, 0.053176805609837174, 0.31722234860135934, 0.07226737086316497, 0.12120626387223014, 0.10763495054469979, 0.15685932779080586, 0.07585376200603512, 0.08390617656602165, -0.17703501565389218, 0.104599810176067, 0.03128270204105656] |
711.0837 | Nonradial p-modes in the G9.5 giant epsilon Oph? Pulsation model fits to
MOST photometry | The G9.5 giant eps Oph shows evidence of radial p-mode pulsations in both
radial velocity and luminosity. We re-examine the observed frequencies in the
photometry and radial velocities and find a best model fit to 18 of the 21 most
significant photometric frequencies. The observed frequencies are matched to
both radial and nonradial modes in the best model fit. The small scatter of the
frequencies about the model predicted frequencies indicate that the average
lifetimes of the modes could be as long as 10-20d. The best fit model itself,
constrained only by the observed frequencies, lies within 1 sigma of eps Oph's
position in the HR-diagram and the interferometrically determined radius.
| astro-ph | the g95 giant eps oph shows evidence of radial pmode pulsations in both radial velocity and luminosity we reexamine the observed frequencies in the photometry and radial velocities and find a best model fit to 18 of the 21 most significant photometric frequencies the observed frequencies are matched to both radial and nonradial modes in the best model fit the small scatter of the frequencies about the model predicted frequencies indicate that the average lifetimes of the modes could be as long as 1020d the best fit model itself constrained only by the observed frequencies lies within 1 sigma of eps ophs position in the hrdiagram and the interferometrically determined radius | [['the', 'g95', 'giant', 'eps', 'oph', 'shows', 'evidence', 'of', 'radial', 'pmode', 'pulsations', 'in', 'both', 'radial', 'velocity', 'and', 'luminosity', 'we', 'reexamine', 'the', 'observed', 'frequencies', 'in', 'the', 'photometry', 'and', 'radial', 'velocities', 'and', 'find', 'a', 'best', 'model', 'fit', 'to', '18', 'of', 'the', '21', 'most', 'significant', 'photometric', 'frequencies', 'the', 'observed', 'frequencies', 'are', 'matched', 'to', 'both', 'radial', 'and', 'nonradial', 'modes', 'in', 'the', 'best', 'model', 'fit', 'the', 'small', 'scatter', 'of', 'the', 'frequencies', 'about', 'the', 'model', 'predicted', 'frequencies', 'indicate', 'that', 'the', 'average', 'lifetimes', 'of', 'the', 'modes', 'could', 'be', 'as', 'long', 'as', '1020d', 'the', 'best', 'fit', 'model', 'itself', 'constrained', 'only', 'by', 'the', 'observed', 'frequencies', 'lies', 'within', '1', 'sigma', 'of', 'eps', 'ophs', 'position', 'in', 'the', 'hrdiagram', 'and', 'the', 'interferometrically', 'determined', 'radius']] | [-0.09487166598922124, 0.1112835554069736, -0.05348487745935994, 0.07390033890044799, -0.07295032008551061, -0.08956495972718888, 0.08489386799003652, 0.3972080497726522, -0.17978212584771594, -0.357869452279475, 0.058810478214312484, -0.25285116230413596, -0.051866191922238576, 0.19606717395234025, -0.00096905314044475, 0.028891240549489373, 0.0829250979726634, 0.01587366922844753, -0.017024450042905908, -0.14412659035642045, 0.19630369460598254, 0.0588933359141703, 0.1928807023084826, -0.0440232758410275, 0.004943711407206676, -0.11119875600302799, -0.07150386906815348, -0.03324299784273737, -0.147884437851341, 0.029038407037862472, 0.20497939722069228, 0.08794655032559401, 0.20333881630493258, -0.3236928687137724, -0.2163636460253555, 0.06381150305107305, 0.20548576575108907, 0.07220440485549194, 0.052041795553695584, -0.23642279727587098, 0.036657108959776384, -0.11542634098549132, -0.22215984393066415, 0.01600007785277234, 0.07121788444756358, 0.033498708232029994, -0.2491982672880921, 0.16359389712926242, 0.02847420184170241, 0.08735015050694563, -0.17263277878993433, -0.19257617782352976, -0.09429570670343107, 0.10808822093962657, 0.07228127068676124, 0.055966150968473544, 0.07692839523898093, -0.0851987220597005, -0.06473215660015638, 0.3885500176154353, -0.1484664352934083, -0.06813248040675211, 0.18018767248873632, -0.2689194737597265, -0.08287820940475082, 0.12462192897995313, 0.16984642087481916, 0.07127009020014494, -0.13665094694847035, 0.015414810810061344, -5.902634088501886e-07, 0.26266472655589934, 0.11926453444822174, 0.027759651136067178, 0.27855536350290533, 0.10854710473385812, -0.032347111867878725, 0.022897081819354317, -0.24865891100597326, -0.01913511598724182, -0.2549869739881682, -0.03870273969369009, -0.16365457767474087, -0.024146509477523743, -0.13631372321254243, -0.12928255281359372, 0.43552222075285735, 0.1207853389420995, 0.2755992512059122, 0.06726065204539164, 0.29195746809192413, 0.13843597056714957, 0.11839311787561099, 0.14889176812937, 0.3831259602404855, 0.15011640235617826, 0.051323710848077166, -0.29082883831061834, 0.04436737665889302, -0.047017223538003035] |
711.0838 | On the operating unit size of load/store architectures | We introduce a strict version of the concept of a load/store instruction set
architecture in the setting of Maurer machines. We take the view that
transformations on the states of a Maurer machine are achieved by applying
threads as considered in thread algebra to the Maurer machine. We study how the
transformations on the states of the main memory of a strict load/store
instruction set architecture that can be achieved by applying threads depend on
the operating unit size, the cardinality of the instruction set, and the
maximal number of states of the threads.
| cs.AR | we introduce a strict version of the concept of a loadstore instruction set architecture in the setting of maurer machines we take the view that transformations on the states of a maurer machine are achieved by applying threads as considered in thread algebra to the maurer machine we study how the transformations on the states of the main memory of a strict loadstore instruction set architecture that can be achieved by applying threads depend on the operating unit size the cardinality of the instruction set and the maximal number of states of the threads | [['we', 'introduce', 'a', 'strict', 'version', 'of', 'the', 'concept', 'of', 'a', 'loadstore', 'instruction', 'set', 'architecture', 'in', 'the', 'setting', 'of', 'maurer', 'machines', 'we', 'take', 'the', 'view', 'that', 'transformations', 'on', 'the', 'states', 'of', 'a', 'maurer', 'machine', 'are', 'achieved', 'by', 'applying', 'threads', 'as', 'considered', 'in', 'thread', 'algebra', 'to', 'the', 'maurer', 'machine', 'we', 'study', 'how', 'the', 'transformations', 'on', 'the', 'states', 'of', 'the', 'main', 'memory', 'of', 'a', 'strict', 'loadstore', 'instruction', 'set', 'architecture', 'that', 'can', 'be', 'achieved', 'by', 'applying', 'threads', 'depend', 'on', 'the', 'operating', 'unit', 'size', 'the', 'cardinality', 'of', 'the', 'instruction', 'set', 'and', 'the', 'maximal', 'number', 'of', 'states', 'of', 'the', 'threads']] | [-0.19827581151448032, 0.1073513069348608, -0.06670509153937405, 0.02503218198631038, -0.06450773565534582, -0.10880050045299403, 0.14531014948845544, 0.3341112523191073, -0.2872476447769936, -0.29860331044789956, 0.10376013040374171, -0.1983457266407563, -0.09074878143741096, 0.20165021845233685, -0.11990824312050925, 0.03539002728351253, 0.10874016311495228, 0.08573367441707153, -0.025546326069161296, -0.299289216037265, 0.3539610737414555, 0.031992575619369745, 0.3031638891812652, -0.005906113908883739, 0.13007942866533995, 0.005762572246702745, 0.015536631497138359, 0.02693255472571609, -0.04585673543701984, 0.15195121091079622, 0.2059616451250746, 0.2364125334201975, 0.32804194695137917, -0.46291092022302305, -0.11395789175096185, 0.05113859024354594, 0.08272747631541434, 0.046720060259797316, 0.0061822217564653364, -0.28249852138601167, 0.11912755493788009, -0.1685408567415273, -0.0411966161361519, -0.07421891417161146, -0.020174595675966207, 0.005256618913064929, -0.21534721439387253, -0.05669913138758312, 0.12091085607027437, 0.08588378546521702, -0.03887119647511776, -0.08298270482609564, -0.0015237160507549949, 0.08926220753903877, -0.035448762915156626, 0.03421573409503524, 0.15370726739452717, -0.11631496881749084, -0.19708809726178012, 0.37072292947150925, -0.010931763542875488, -0.22486352131880344, 0.15317770071882517, -0.051984558882627714, -0.15758110211785645, 0.019485299059213385, 0.20960583922978332, 0.07043030570716934, -0.0913190345200611, 0.1139912291948852, -0.10179431552186291, 0.15561297623083947, 0.09672425838652998, 0.02749253768087464, 0.15869325995160405, 0.19345683557912707, 0.020423619238847987, 0.21618983122653904, -0.03290380874123583, -0.09445951922618329, -0.34098286534401967, -0.1669119558733036, -0.1713106505092273, 0.02773394324678056, -0.04658319957122737, -0.1447643460780184, 0.44458094453240965, 0.14702387561803645, 0.19225448009340054, 0.09691672102409474, 0.2525574908631438, 0.10692491202582383, 0.18396606035728721, 0.1108174469579566, 0.1483247827817785, 0.09753281215423758, 0.10106768397158607, -0.20396791262542235, 0.040298822202145104, 0.08655923934891185] |
711.0839 | Conduction Effect of Thermal Radiation in a Metal Shield Pipe in a
Cryostat for a Cryogenic Interferometric Gravitational Wave Detector | A large heat load caused by thermal radiation through a metal shield pipe was
observed in a cooling test of a cryostat for a prototype of a cryogenic
interferometric gravitational wave detector. The heat load was approximately
1000 times larger than the value calculated by the Stefan-Boltzmann law. We
studied this phenomenon by simulation and experiment and found that it was
caused by the conduction of thermal radiation in a metal shield pipe.
| physics.ins-det gr-qc | a large heat load caused by thermal radiation through a metal shield pipe was observed in a cooling test of a cryostat for a prototype of a cryogenic interferometric gravitational wave detector the heat load was approximately 1000 times larger than the value calculated by the stefanboltzmann law we studied this phenomenon by simulation and experiment and found that it was caused by the conduction of thermal radiation in a metal shield pipe | [['a', 'large', 'heat', 'load', 'caused', 'by', 'thermal', 'radiation', 'through', 'a', 'metal', 'shield', 'pipe', 'was', 'observed', 'in', 'a', 'cooling', 'test', 'of', 'a', 'cryostat', 'for', 'a', 'prototype', 'of', 'a', 'cryogenic', 'interferometric', 'gravitational', 'wave', 'detector', 'the', 'heat', 'load', 'was', 'approximately', '1000', 'times', 'larger', 'than', 'the', 'value', 'calculated', 'by', 'the', 'stefanboltzmann', 'law', 'we', 'studied', 'this', 'phenomenon', 'by', 'simulation', 'and', 'experiment', 'and', 'found', 'that', 'it', 'was', 'caused', 'by', 'the', 'conduction', 'of', 'thermal', 'radiation', 'in', 'a', 'metal', 'shield', 'pipe']] | [-0.11972438125019536, 0.21911814233466778, -0.05276273061802024, 0.019674854115455425, -0.014199991442569315, -0.1278906803616412, 0.08379162314080008, 0.3242756480937951, -0.16954579622778174, -0.35934944281175935, 0.08117595182616927, -0.31245415443426944, -0.05106118469409747, 0.2583975606846738, 0.005274684701038346, 0.06652497250765357, 0.033812453141053245, -0.03433884754266641, -0.02739946943809827, -0.11507145769587934, 0.23146952763965276, 0.19256479983825606, 0.2953414411271272, 0.063916772737946, 0.11453982989928901, -0.11027733483415557, -0.03273815512083063, 0.07953768408512824, -0.11430743418556992, -0.03802529038631753, 0.2140289227739742, -0.0002270642004600943, 0.2398448132858803, -0.4599179665825955, -0.273473137683452, 0.07156579187522603, 0.039526468455434255, 0.06524240612116171, -0.09760762263752826, -0.25629355283836797, 0.04346020366001415, -0.2117621268062814, -0.15496415695915483, 0.06971695624317413, 0.020777493077394082, -0.006842042536359944, -0.23639989813968335, 0.05504432951470148, 0.0433083009102369, 0.04436302205471143, -0.06931285326024644, -0.07901411834619429, 0.007925097154427881, -0.002167926775929454, 0.01271073757479452, 0.05252794013677599, 0.26940758350904875, -0.12494758301899347, -0.004150853964359793, 0.38534065693208613, -0.11210044018373257, -0.08178189634213906, 0.1168784847967837, -0.1959560653449942, 0.03532271744198587, 0.23473381450119085, 0.12171549316852877, 0.09792961635236543, -0.24130097601868927, -0.04035988255014822, -0.0030739814398271247, 0.16385100082149856, 0.1298306021864896, -0.06974872237722045, 0.24335279883434102, 0.23760224940025643, -0.023763836179668568, 0.24440380092710257, -0.16021560023105003, -0.025657426068329648, -0.26630158633095763, -0.191804056693736, -0.20584433026331134, 0.11250502642699396, -0.04158877421207152, -0.10652742159476325, 0.3287381040544747, 0.10357937847634088, 0.1272703138601086, -0.006392721753337816, 0.35963397815007053, 0.10314024542298883, 0.1453703615929268, 0.08109970291923374, 0.3186707166725234, 0.1483653791835659, 0.20433020364008334, -0.2990284168308167, 0.06292010089446319, -0.0026811381597837357] |
711.084 | A thread calculus with molecular dynamics | We present a theory of threads, interleaving of threads, and interaction
between threads and services with features of molecular dynamics, a model of
computation that bears on computations in which dynamic data structures are
involved. Threads can interact with services of which the states consist of
structured data objects and computations take place by means of actions which
may change the structure of the data objects. The features introduced include
restriction of the scope of names used in threads to refer to data objects.
Because that feature makes it troublesome to provide a model based on
structural operational semantics and bisimulation, we construct a projective
limit model for the theory.
| cs.LO | we present a theory of threads interleaving of threads and interaction between threads and services with features of molecular dynamics a model of computation that bears on computations in which dynamic data structures are involved threads can interact with services of which the states consist of structured data objects and computations take place by means of actions which may change the structure of the data objects the features introduced include restriction of the scope of names used in threads to refer to data objects because that feature makes it troublesome to provide a model based on structural operational semantics and bisimulation we construct a projective limit model for the theory | [['we', 'present', 'a', 'theory', 'of', 'threads', 'interleaving', 'of', 'threads', 'and', 'interaction', 'between', 'threads', 'and', 'services', 'with', 'features', 'of', 'molecular', 'dynamics', 'a', 'model', 'of', 'computation', 'that', 'bears', 'on', 'computations', 'in', 'which', 'dynamic', 'data', 'structures', 'are', 'involved', 'threads', 'can', 'interact', 'with', 'services', 'of', 'which', 'the', 'states', 'consist', 'of', 'structured', 'data', 'objects', 'and', 'computations', 'take', 'place', 'by', 'means', 'of', 'actions', 'which', 'may', 'change', 'the', 'structure', 'of', 'the', 'data', 'objects', 'the', 'features', 'introduced', 'include', 'restriction', 'of', 'the', 'scope', 'of', 'names', 'used', 'in', 'threads', 'to', 'refer', 'to', 'data', 'objects', 'because', 'that', 'feature', 'makes', 'it', 'troublesome', 'to', 'provide', 'a', 'model', 'based', 'on', 'structural', 'operational', 'semantics', 'and', 'bisimulation', 'we', 'construct', 'a', 'projective', 'limit', 'model', 'for', 'the', 'theory']] | [-0.15204032131984024, 0.08790575865317475, -0.11726040813902562, 0.058565451797436587, -0.11792629132555289, -0.11699598389254375, 0.10245416289280083, 0.3743541079996662, -0.28890055763450534, -0.35453166099773215, 0.07985732104756277, -0.24388799995649607, -0.12042735821821472, 0.1577322156697681, -0.04997688207579565, 0.003426796155558391, 0.10137212621471421, 0.036739135849215517, -0.027986807703167537, -0.21640822780106894, 0.32422484994273293, 0.0470041041770442, 0.25900398202409797, 0.019842698111791502, 0.10802666186355055, -0.012872987989844247, -0.05716257331342521, 0.016547349510206418, -0.06434836767426036, 0.18296834360543554, 0.2806719941304023, 0.17274668049913916, 0.243535685880025, -0.49613776300102475, -0.20124110404232687, 0.017965179800309917, 0.11175491387204436, 0.07505127715730024, 0.02170478655237027, -0.3076043745926158, 0.06489606248214841, -0.16283862511389255, -0.056449650147591124, -0.12835100502918728, 0.021850445924263277, 0.0250269469212402, -0.24510021113885821, 0.008751469060503454, 0.07235981298356571, 0.08346437220884995, -0.05877914587670768, -0.02427455357021906, -0.023311269427226347, 0.1478117352478545, 0.03596102991657311, -0.052115246073596855, 0.1492001865440133, -0.13699120502410964, -0.16289806388403205, 0.4167073986493051, -0.01620575815481557, -0.1908088803100823, 0.23115187914068389, -0.03884671494703401, -0.16049717771820723, 0.0980862260711464, 0.19470037373989313, 0.12292747195725413, -0.10433763848162594, 0.06476542373314839, -0.03529174895957112, 0.2008595350219614, 0.041025319159962235, 0.058976326188580556, 0.21265546677380123, 0.15992106260223823, 0.016082013766704636, 0.16639615680535577, -0.056358698556538335, -0.14197474135593935, -0.27355117498135023, -0.151609866888347, -0.1061501303603026, -0.02349078651432964, -0.05353549298544584, -0.20148653788915413, 0.37412870886989613, 0.2012513940148479, 0.24956844900311395, 0.05177073965843936, 0.28893701685698364, 0.04222489588639953, 0.16434763847342268, 0.08792228901293128, 0.15625616141848944, 0.10119277969722382, 0.12016923036214641, -0.1310540131885897, 0.09689071058211002, 0.06690393452617255] |
711.0841 | Evanescent character of the repulsive thermal Casimir force | The physical origin of the negative thermal correction to the Casimir force
between metals is clarified. For this purpose the asymptotic behavior of the
thermal Casimir force is analyzed at large and small distances in the real
frequency representation. Contributions from propagating and evanescent waves
are considered separately. At large distances they cancel each other in
substantial degree so that only the attractive Lifshitz limit survives. At
smaller separations the repulsive evanescent contribution of s-polarization
dominates in the case of two metals or a metal and a high-permittivity
dielectric. Common origin and order of magnitude of the repulsion in these two
cases demonstrate naturalness of the controversial large thermal correction
between metals.
| quant-ph | the physical origin of the negative thermal correction to the casimir force between metals is clarified for this purpose the asymptotic behavior of the thermal casimir force is analyzed at large and small distances in the real frequency representation contributions from propagating and evanescent waves are considered separately at large distances they cancel each other in substantial degree so that only the attractive lifshitz limit survives at smaller separations the repulsive evanescent contribution of spolarization dominates in the case of two metals or a metal and a highpermittivity dielectric common origin and order of magnitude of the repulsion in these two cases demonstrate naturalness of the controversial large thermal correction between metals | [['the', 'physical', 'origin', 'of', 'the', 'negative', 'thermal', 'correction', 'to', 'the', 'casimir', 'force', 'between', 'metals', 'is', 'clarified', 'for', 'this', 'purpose', 'the', 'asymptotic', 'behavior', 'of', 'the', 'thermal', 'casimir', 'force', 'is', 'analyzed', 'at', 'large', 'and', 'small', 'distances', 'in', 'the', 'real', 'frequency', 'representation', 'contributions', 'from', 'propagating', 'and', 'evanescent', 'waves', 'are', 'considered', 'separately', 'at', 'large', 'distances', 'they', 'cancel', 'each', 'other', 'in', 'substantial', 'degree', 'so', 'that', 'only', 'the', 'attractive', 'lifshitz', 'limit', 'survives', 'at', 'smaller', 'separations', 'the', 'repulsive', 'evanescent', 'contribution', 'of', 'spolarization', 'dominates', 'in', 'the', 'case', 'of', 'two', 'metals', 'or', 'a', 'metal', 'and', 'a', 'highpermittivity', 'dielectric', 'common', 'origin', 'and', 'order', 'of', 'magnitude', 'of', 'the', 'repulsion', 'in', 'these', 'two', 'cases', 'demonstrate', 'naturalness', 'of', 'the', 'controversial', 'large', 'thermal', 'correction', 'between', 'metals']] | [-0.17575977867402667, 0.19751619587935107, -0.0494853950554638, 0.08491739889411422, -0.023897534469142556, -0.14053756702924147, 0.023911386915382797, 0.348513721155801, -0.2581721098769257, -0.2618586702322188, 0.0047886771665486905, -0.3611198767154877, -0.11224453004667469, 0.15442079262200942, 0.04898420167903948, -0.02330852339010952, -0.019842168312087387, 0.0011193294485565275, -0.05687260735326812, -0.18393137454404496, 0.32035259258035303, 0.019561404925687902, 0.2668419942409465, 0.13723488440155052, 0.0589926030287253, -0.03140379384110149, 0.010718345592197562, 0.033935527744542275, -0.09223680949025947, 0.04252239986713643, 0.2217440789765013, -0.09168618809781037, 0.26701603007053826, -0.4243468800227025, -0.17639840792461264, 0.10202052131977066, 0.1224343292415142, 0.14154620677748295, -0.035575164968447225, -0.23240626170341525, 0.022917636221141686, -0.12793029431811323, -0.16851326577930845, -0.021090911801106164, 0.05958871952316258, -0.020473854102809646, -0.2107149777667863, 0.12600844108965248, 0.062148858148637895, 0.05997088359643905, -0.06000573064167319, -0.15663676644908264, -0.02298966980639047, 0.14603252343243053, 0.11223275841829101, -0.01083235298782321, 0.14058265615936502, -0.1540067173503173, -0.0212699809510793, 0.40020337053907235, -0.08586595570523059, -0.1533738432086206, 0.24936810317532426, -0.2063147857448452, -0.034160763781983405, 0.17697313588827715, 0.16510998951915618, 0.09643280033846427, -0.13930008978578762, 0.072461117198275, 0.05850251664274505, 0.13384824469955806, 0.12283530055512008, 0.08033318803479363, 0.27301188696375384, 0.12283861151497279, -0.007437846354150679, 0.13350409186646825, -0.0941568917395281, -0.05831553176228356, -0.3274119137204252, -0.13690468781818968, -0.2358272863285882, 0.035789244858148904, -0.14731003375189694, -0.18372394081338175, 0.3284421631999846, 0.17181866326843323, 0.16616731019790418, -0.0014789643589340682, 0.351870898722804, 0.09272256253201963, 0.12441748190654575, 0.033151406622242315, 0.3509775685212974, 0.11414105371139678, 0.08469487023207226, -0.2640136084415384, 0.0417710628680652, 0.03198935481486842] |
711.0842 | An accurate distance to 2M1207Ab | In April 2004 the first image was obtained of a planetary mass companion (now
known as 2M1207 b) in orbit around a self-luminous object different from our
own Sun (the young brown dwarf 2MASSW J1207334-393254, hereafter 2M1207 A).
2M1207 b probably formed via fragmentation and gravitational collapse, offering
proof that such a mechanism can form bodies in the planetary mass regime.
However, the predicted mass, luminosity, and radius of 2M1207 b depend on its
age, distance, and other observables such as effective temperature. To refine
our knowledge of the physical properties of 2M1207 b and its nature, we
obtained an accurate determination of the distance to the 2M1207 A and b system
by measurements of its trigonometric parallax at the milliarcsec level. With
the ESO NTT/SUSI2 telescope, in 2006 we began a campaign of photometric and
astrometric observations to measure the trigonometric parallax of 2M1207 A. An
accurate distance ($52.4\pm 1.1$ pc) to 2M1207A was measured. From distance and
proper motions we derived spatial velocities fully compatible with TWA
membership. With this new distance estimate, we discuss three scenarios
regarding the nature of 2M1207 b: (1) a cool ($1150\pm150$ K) companion of mass
$4\pm1$ M$_{\rm{Jup}}$, (2) a warmer ($1600\pm100$ K) and heavier ($8\pm2$
M$_{\rm{Jup}}$) companion occulted by an edge-on circum-secondary disk or (3) a
hot protoplanet collision afterglow.
| astro-ph | in april 2004 the first image was obtained of a planetary mass companion now known as 2m1207 b in orbit around a selfluminous object different from our own sun the young brown dwarf 2massw j1207334393254 hereafter 2m1207 a 2m1207 b probably formed via fragmentation and gravitational collapse offering proof that such a mechanism can form bodies in the planetary mass regime however the predicted mass luminosity and radius of 2m1207 b depend on its age distance and other observables such as effective temperature to refine our knowledge of the physical properties of 2m1207 b and its nature we obtained an accurate determination of the distance to the 2m1207 a and b system by measurements of its trigonometric parallax at the milliarcsec level with the eso nttsusi2 telescope in 2006 we began a campaign of photometric and astrometric observations to measure the trigonometric parallax of 2m1207 a an accurate distance 524pm 11 pc to 2m1207a was measured from distance and proper motions we derived spatial velocities fully compatible with twa membership with this new distance estimate we discuss three scenarios regarding the nature of 2m1207 b 1 a cool 1150pm150 k companion of mass 4pm1 m_rmjup 2 a warmer 1600pm100 k and heavier 8pm2 m_rmjup companion occulted by an edgeon circumsecondary disk or 3 a hot protoplanet collision afterglow | [['in', 'april', '2004', 'the', 'first', 'image', 'was', 'obtained', 'of', 'a', 'planetary', 'mass', 'companion', 'now', 'known', 'as', '2m1207', 'b', 'in', 'orbit', 'around', 'a', 'selfluminous', 'object', 'different', 'from', 'our', 'own', 'sun', 'the', 'young', 'brown', 'dwarf', '2massw', 'j1207334393254', 'hereafter', '2m1207', 'a', '2m1207', 'b', 'probably', 'formed', 'via', 'fragmentation', 'and', 'gravitational', 'collapse', 'offering', 'proof', 'that', 'such', 'a', 'mechanism', 'can', 'form', 'bodies', 'in', 'the', 'planetary', 'mass', 'regime', 'however', 'the', 'predicted', 'mass', 'luminosity', 'and', 'radius', 'of', 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711.0843 | Clustering of galaxies at 3.6 microns in the Spitzer Wide-area Infrared
Extragalactic legacy survey | We investigate the clustering of galaxies selected in the 3.6 micron band of
the Spitzer Wide-area Infrared Extragalactic (SWIRE) legacy survey. The angular
two-point correlation function is calculated for eleven samples with flux
limits of S_3.6 > 4-400 mujy, over an 8 square degree field. The angular
clustering strength is measured at >5-sigma significance at all flux limits,
with amplitudes of A=(0.49-29)\times10^{-3} at one degree, for a power-law
model, A\theta^{-0.8}. We estimate the redshift distributions of the samples
using phenomological models, simulations and photometric redshifts, and so
derive the spatial correlation lengths. We compare our results with the GalICS
(Galaxies In Cosmological Simulations) models of galaxy evolution and with
parameterized models of clustering evolution. The GalICS simulations are
consistent with our angular correlation functions, but fail to match the
spatial clustering inferred from the phenomological models or the photometric
redshifts. We find that the uncertainties in the redshift distributions of our
samples dominate the statistical errors in our estimates of the spatial
clustering. At low redshifts (median z<0.5) the comoving correlation length is
approximately constant, r_0=6.1\pm0.5h^{-1} Mpc, and then decreases with
increasing redshift to a value of 2.9\pm0.3h^{-1} Mpc for the faintest sample,
for which the median redshift is z=1. We suggest that this trend can be
attributed to a decrease in the average galaxy and halo mass in the fainter
flux-limited samples, corresponding to changes in the relative numbers of
early- and late-type galaxies. However, we cannot rule out strong evolution of
the correlation length over 0.5<z<1.
| astro-ph | we investigate the clustering of galaxies selected in the 36 micron band of the spitzer widearea infrared extragalactic swire legacy survey the angular twopoint correlation function is calculated for eleven samples with flux limits of s_36 4400 mujy over an 8 square degree field the angular clustering strength is measured at 5sigma significance at all flux limits with amplitudes of a04929times103 at one degree for a powerlaw model atheta08 we estimate the redshift distributions of the samples using phenomological models simulations and photometric redshifts and so derive the spatial correlation lengths we compare our results with the galics galaxies in cosmological simulations models of galaxy evolution and with parameterized models of clustering evolution the galics simulations are consistent with our angular correlation functions but fail to match the spatial clustering inferred from the phenomological models or the photometric redshifts we find that the uncertainties in the redshift distributions of our samples dominate the statistical errors in our estimates of the spatial clustering at low redshifts median z05 the comoving correlation length is approximately constant r_061pm05h1 mpc and then decreases with increasing redshift to a value of 29pm03h1 mpc for the faintest sample for which the median redshift is z1 we suggest that this trend can be attributed to a decrease in the average galaxy and halo mass in the fainter fluxlimited samples corresponding to changes in the relative numbers of early and latetype galaxies however we cannot rule out strong evolution of the correlation length over 05z1 | [['we', 'investigate', 'the', 'clustering', 'of', 'galaxies', 'selected', 'in', 'the', '36', 'micron', 'band', 'of', 'the', 'spitzer', 'widearea', 'infrared', 'extragalactic', 'swire', 'legacy', 'survey', 'the', 'angular', 'twopoint', 'correlation', 'function', 'is', 'calculated', 'for', 'eleven', 'samples', 'with', 'flux', 'limits', 'of', 's_36', '4400', 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711.0844 | The high energy emission from black holes | The origin of the high energy emission (X-rays and gamma-rays) from black
holes is still a matter of debate. We present new evidence that hard X-ray
emission in the low/hard state may not be dominated by thermal Comptonization.
We present an alternative scenario for the origin of the high energy emission
that is well suited to explain the high energy emission from GRO J1655-40.
| astro-ph | the origin of the high energy emission xrays and gammarays from black holes is still a matter of debate we present new evidence that hard xray emission in the lowhard state may not be dominated by thermal comptonization we present an alternative scenario for the origin of the high energy emission that is well suited to explain the high energy emission from gro j165540 | [['the', 'origin', 'of', 'the', 'high', 'energy', 'emission', 'xrays', 'and', 'gammarays', 'from', 'black', 'holes', 'is', 'still', 'a', 'matter', 'of', 'debate', 'we', 'present', 'new', 'evidence', 'that', 'hard', 'xray', 'emission', 'in', 'the', 'lowhard', 'state', 'may', 'not', 'be', 'dominated', 'by', 'thermal', 'comptonization', 'we', 'present', 'an', 'alternative', 'scenario', 'for', 'the', 'origin', 'of', 'the', 'high', 'energy', 'emission', 'that', 'is', 'well', 'suited', 'to', 'explain', 'the', 'high', 'energy', 'emission', 'from', 'gro', 'j165540']] | [-0.04309314025158528, 0.14710060544371117, -0.08553807346470421, 0.2173833524757356, -0.11494523877627216, -0.10505246271350188, 0.026143393326492514, 0.44098696261062287, -0.22489930439041927, -0.3540165792510379, 0.08670007032014837, -0.32332351891091093, 0.004403515849844553, 0.2084169371810276, -0.039702693320577964, -0.01923299986810889, 0.020643805037252605, -0.1041976785636507, 0.017269073679926805, -0.11664566973922774, 0.3065842978430737, 0.18000822412432171, 0.20697382146602195, 0.10076483662123792, 0.06656774881412275, -0.0673181691490754, 0.05016963120579021, -0.04414967304910533, -0.06837655187086966, 0.04071268420830165, 0.24527003910043277, 0.12936404685024172, 0.15936680996674113, -0.3885045437491499, -0.2752018362371018, 0.09866562632669229, 0.14964063686784357, 0.019196331755665597, -0.11206157882406842, -0.21436313082813285, 0.028253626100195106, -0.23578477354021743, -0.1530426076205913, -0.017296822094067466, -0.005695445950550493, -0.050041478854836896, -0.1553078862852999, 0.17738326192920795, 0.048833277038283995, -0.06397665911936201, -0.2014421482454054, -0.021686631574993953, -0.012067632069374667, 0.014066612282476854, 0.11372260248026578, 0.04244509479030967, 0.14289258513599634, -0.14928991738997865, -0.15182679312420078, 0.388801691995468, -0.06449516252905596, 0.024976534776214976, 0.2265443967480678, -0.2248565786940162, -0.18526458680571523, 0.25935120493522845, 0.09814522220403887, 0.13732565566897392, -0.1568180593458237, 0.025079014753828233, 0.002036136298556812, 0.24759447906035348, -0.004662026978621725, 0.09970131769659929, 0.41231994703412056, 0.13243354381302197, -0.05422927177278325, 0.19828390539441898, -0.19867637217976153, 0.016364721639547497, -0.29761472465179395, -0.08889133445336483, -0.22398457399685867, 0.13948450143311675, -0.061747228464582804, -0.13992810068884864, 0.35007896749448264, 0.10044349006238917, 0.2099474936549086, -0.03774673189036548, 0.34618898521449637, 0.13448718436120544, -0.03359209409245523, 0.18940610470599495, 0.37874225713312626, 0.10918371295338147, 0.14039078228233848, -0.23741789531050017, 0.06674915348412469, -0.06867801602493273] |
711.0845 | Proceedings of the first Congress on North-South collaboration in
Physics research | The first Congress on North-South collaboration in Physics research was held
in Oujda Morocco, between April 9th and 13th, 2007. The congress was based on
talks giving an overview of relevant subjects both from experiments and theory
in all fields of physics. They focused on projects which could bring fruitful
collaborations between Europe and under developed countries. The congress was
meant to bring experience and skills to these countries in research and
teaching at the doctoral level.
| physics.soc-ph | the first congress on northsouth collaboration in physics research was held in oujda morocco between april 9th and 13th 2007 the congress was based on talks giving an overview of relevant subjects both from experiments and theory in all fields of physics they focused on projects which could bring fruitful collaborations between europe and under developed countries the congress was meant to bring experience and skills to these countries in research and teaching at the doctoral level | [['the', 'first', 'congress', 'on', 'northsouth', 'collaboration', 'in', 'physics', 'research', 'was', 'held', 'in', 'oujda', 'morocco', 'between', 'april', '9th', 'and', '13th', '2007', 'the', 'congress', 'was', 'based', 'on', 'talks', 'giving', 'an', 'overview', 'of', 'relevant', 'subjects', 'both', 'from', 'experiments', 'and', 'theory', 'in', 'all', 'fields', 'of', 'physics', 'they', 'focused', 'on', 'projects', 'which', 'could', 'bring', 'fruitful', 'collaborations', 'between', 'europe', 'and', 'under', 'developed', 'countries', 'the', 'congress', 'was', 'meant', 'to', 'bring', 'experience', 'and', 'skills', 'to', 'these', 'countries', 'in', 'research', 'and', 'teaching', 'at', 'the', 'doctoral', 'level']] | [-0.027900785017807624, 0.14455094581372627, -0.14921469736107515, 0.04671943616612177, -0.1294683214264775, -0.1082060022622739, 0.05135503925205404, 0.32870467318417995, -0.1279459114149703, -0.4215656898082479, 0.09737773310534019, -0.3490820779514156, -0.13070667363507182, 0.22077145183605976, -0.11510713293070071, -0.02176755647125997, 0.06843472270779066, 0.00999462381495457, -0.02979641452609365, -0.39838310570676666, 0.2288254564015293, 0.1542802650525884, 0.37088175113067817, 0.1315619984823953, 0.07184727998499416, -0.024895986793317684, -0.13827385173767412, -0.07137969620280753, -0.10162226959915929, 0.17145318834503231, 0.38924490018306596, 0.19488913153518775, 0.3735129234356512, -0.47279547449005277, -0.049673564716756935, -0.004336188951703279, -0.0026266690417143857, 0.04138043236544993, -0.024611921893665567, -0.39740288159564924, -0.040142716092400645, -0.17403705729291113, -0.07829405257086221, 0.02255842061468253, 0.06386586720442497, 0.017528967778688592, -0.14684453303925693, -0.008952431824965109, -0.006339693553807018, 0.22627200053294041, -0.02621014383131344, -0.20068792235964028, 0.020846956152174818, 0.23569551308173686, 0.1032954934053123, 0.06516188773591573, 0.06842168530228694, -0.09011717940417216, -0.20179403025509887, 0.35011008114701037, 0.016030112097628023, -0.0067952173811040425, 0.2254402849058878, -0.2006131427999782, -0.1899134989668566, 0.004714507854690677, 0.29869275716574567, 0.006165694426990261, -0.18773288665780505, 0.09396709985403025, 0.0016640889011078368, 0.16515967727785832, 0.14434497852083664, -0.11816963353684466, 0.2843281168270072, 0.16032102893988945, 0.003490952382746496, 0.03306974771457087, -0.034177295076293183, -0.16877652094282034, -0.26935882819510115, -0.09840679471381009, -0.05402004347017378, -0.026116694657646707, 0.109368992426569, -0.042565764724522046, 0.4141409364528954, 0.1154121943675962, 0.05540611717457834, -0.09640994422768831, 0.15376894237277539, -0.0332447942070614, 0.059691698670289235, 0.11088344403910205, 0.2778549524526553, 0.09148442335610621, 0.2683540705873288, -0.08849035174353048, 0.05989614536520094, 0.06159147384306906] |
711.0846 | A Unified Model of $\alpha$-Helix/$\beta$-Sheet/Random-Coil Transition
in Proteins | The theory of transition between $\alpha$-helix, $\beta$-sheet and random
coil conformation of a protein is discussed through a simple model, that
includes both short and long-range interactions. Besides the bonding parameter
and helical initiation factor in Zimm-Bragg model, three new parameters are
introduced to describe beta structure: the local constraint factor for a single
residue to be contained in a $\beta$-strand, the long-range bonding parameter
that accounts for the interaction between a pair of bonded $\beta$-strands, and
a correction factor for the initiation of a $\beta$-sheet. Either increasing
local constraint factor or long-range bonding parameter can cause a transition
from $\alpha$-helix or random coil conformation to $\beta$-sheet conformation.
The sharpness of transition depends on the competition between short and
long-range interactions. Other effective factors, such as the chain length and
temperature, are also discussed. In this model, the entropy due to different
ways to group $\beta$-strands into different $\beta$-sheets gives rise to
significant contribution to partition function, and makes major differences
between beta structure and helical structure.
| physics.bio-ph cond-mat.soft q-bio.BM | the theory of transition between alphahelix betasheet and random coil conformation of a protein is discussed through a simple model that includes both short and longrange interactions besides the bonding parameter and helical initiation factor in zimmbragg model three new parameters are introduced to describe beta structure the local constraint factor for a single residue to be contained in a betastrand the longrange bonding parameter that accounts for the interaction between a pair of bonded betastrands and a correction factor for the initiation of a betasheet either increasing local constraint factor or longrange bonding parameter can cause a transition from alphahelix or random coil conformation to betasheet conformation the sharpness of transition depends on the competition between short and longrange interactions other effective factors such as the chain length and temperature are also discussed in this model the entropy due to different ways to group betastrands into different betasheets gives rise to significant contribution to partition function and makes major differences between beta structure and helical structure | [['the', 'theory', 'of', 'transition', 'between', 'alphahelix', 'betasheet', 'and', 'random', 'coil', 'conformation', 'of', 'a', 'protein', 'is', 'discussed', 'through', 'a', 'simple', 'model', 'that', 'includes', 'both', 'short', 'and', 'longrange', 'interactions', 'besides', 'the', 'bonding', 'parameter', 'and', 'helical', 'initiation', 'factor', 'in', 'zimmbragg', 'model', 'three', 'new', 'parameters', 'are', 'introduced', 'to', 'describe', 'beta', 'structure', 'the', 'local', 'constraint', 'factor', 'for', 'a', 'single', 'residue', 'to', 'be', 'contained', 'in', 'a', 'betastrand', 'the', 'longrange', 'bonding', 'parameter', 'that', 'accounts', 'for', 'the', 'interaction', 'between', 'a', 'pair', 'of', 'bonded', 'betastrands', 'and', 'a', 'correction', 'factor', 'for', 'the', 'initiation', 'of', 'a', 'betasheet', 'either', 'increasing', 'local', 'constraint', 'factor', 'or', 'longrange', 'bonding', 'parameter', 'can', 'cause', 'a', 'transition', 'from', 'alphahelix', 'or', 'random', 'coil', 'conformation', 'to', 'betasheet', 'conformation', 'the', 'sharpness', 'of', 'transition', 'depends', 'on', 'the', 'competition', 'between', 'short', 'and', 'longrange', 'interactions', 'other', 'effective', 'factors', 'such', 'as', 'the', 'chain', 'length', 'and', 'temperature', 'are', 'also', 'discussed', 'in', 'this', 'model', 'the', 'entropy', 'due', 'to', 'different', 'ways', 'to', 'group', 'betastrands', 'into', 'different', 'betasheets', 'gives', 'rise', 'to', 'significant', 'contribution', 'to', 'partition', 'function', 'and', 'makes', 'major', 'differences', 'between', 'beta', 'structure', 'and', 'helical', 'structure']] | [-0.16153342748328509, 0.19310025829531832, -0.03729318819931725, 0.0685693361227607, -0.04658330752358153, -0.16955502766803532, 0.04244161367522341, 0.3833276872037949, -0.31115376755238294, -0.28558117382696824, -0.03408355505308861, -0.2720676044526393, -0.1748335250307566, 0.11106477171589738, 0.06283919556445615, -0.04383309999715068, 0.008759711863484211, 0.023446971475297285, -0.06312801038517343, -0.1483024025857337, 0.27917497601460467, 0.08307106341207456, 0.2743122794492516, 0.11788333400464923, 0.07438259466877487, 0.009155942260951339, 0.04552521296458954, 0.030098883672143348, -0.16843880609301418, 0.08461794664617628, 0.1903826767515285, 0.02608770592741858, 0.2136994706101515, -0.4349393042774793, -0.19284860492812214, 0.0734058284593891, 0.12146651668858877, 0.11471481208444133, -0.003835232680925575, -0.25041775177525705, 0.06423900212289509, -0.17261033311756718, -0.07958869458717144, -0.05887729368691227, 0.04447360203634881, 0.047600950906332026, -0.281079042504589, 0.13746874957397012, 0.0721903346579321, 0.047721248739092295, -0.06295329576057053, -0.09581516021137644, -0.041503210200699504, 0.16548266742255785, 0.07514442836595309, 0.06864920975138505, 0.18065476075266515, -0.12975345009207323, -0.07479294182587705, 0.3834361094468368, -0.02702463567981909, -0.16993493268483814, 0.17868022300500958, -0.09504598706492229, -0.1289301644313612, 0.17080777837521213, 0.13914908010032986, 0.025460151693376596, -0.1436025283538491, 0.0350539403644106, 0.07198017345417938, 0.21775046308959894, 0.06962118821335722, -0.01066438925541759, 0.19686866496985186, 0.18147209060272415, 0.04091310714689379, 0.1656232672477905, -0.07711616401807377, -0.1551074356866811, -0.24821255033735387, -0.1551904106850061, -0.13186363014392555, 0.010993297883828065, -0.13238584951980006, -0.22378083716375297, 0.41999270246102066, 0.05855695408414674, 0.21869218065494025, 0.002539298101188894, 0.21117778350933716, 0.013981408840059275, 0.08687390129132096, -0.02121807966927836, 0.19605653074954799, 0.1426439881011074, 0.005219837627652475, -0.2278433547600613, 0.13524449512942466, 0.08074457631279118] |
711.0847 | Fick's law and Fokker-Planck Equation in inhomogeneous environments | In inhomogeneous environments, the correct expression of the diffusive flux
is often not given by the Fick's law $\Gamma = - D \nabla n $. The most general
hydrodynamic equation modelling diffusion is indeed the Fokker-Planck Equation
(FPE). The microscopic dynamics of each specific system may affect the form of
the FPE, either establishing connections between the diffusion and the
convection term, as well as providing supplementary terms. In particular, the
Fick's form for the Diffusion Equation may arise only in consequence of a
specific kind of microscopic dynamics. It is also shown how, in the presence of
sharp inhomogeneities, even the hydrodynamic FPE limit may becomes inaccurate
and mask some features of the true solution, as computed from the Master
Equation.
| physics.plasm-ph | in inhomogeneous environments the correct expression of the diffusive flux is often not given by the ficks law gamma d nabla n the most general hydrodynamic equation modelling diffusion is indeed the fokkerplanck equation fpe the microscopic dynamics of each specific system may affect the form of the fpe either establishing connections between the diffusion and the convection term as well as providing supplementary terms in particular the ficks form for the diffusion equation may arise only in consequence of a specific kind of microscopic dynamics it is also shown how in the presence of sharp inhomogeneities even the hydrodynamic fpe limit may becomes inaccurate and mask some features of the true solution as computed from the master equation | [['in', 'inhomogeneous', 'environments', 'the', 'correct', 'expression', 'of', 'the', 'diffusive', 'flux', 'is', 'often', 'not', 'given', 'by', 'the', 'ficks', 'law', 'gamma', 'd', 'nabla', 'n', 'the', 'most', 'general', 'hydrodynamic', 'equation', 'modelling', 'diffusion', 'is', 'indeed', 'the', 'fokkerplanck', 'equation', 'fpe', 'the', 'microscopic', 'dynamics', 'of', 'each', 'specific', 'system', 'may', 'affect', 'the', 'form', 'of', 'the', 'fpe', 'either', 'establishing', 'connections', 'between', 'the', 'diffusion', 'and', 'the', 'convection', 'term', 'as', 'well', 'as', 'providing', 'supplementary', 'terms', 'in', 'particular', 'the', 'ficks', 'form', 'for', 'the', 'diffusion', 'equation', 'may', 'arise', 'only', 'in', 'consequence', 'of', 'a', 'specific', 'kind', 'of', 'microscopic', 'dynamics', 'it', 'is', 'also', 'shown', 'how', 'in', 'the', 'presence', 'of', 'sharp', 'inhomogeneities', 'even', 'the', 'hydrodynamic', 'fpe', 'limit', 'may', 'becomes', 'inaccurate', 'and', 'mask', 'some', 'features', 'of', 'the', 'true', 'solution', 'as', 'computed', 'from', 'the', 'master', 'equation']] | [-0.13242302266509123, 0.09586706695718174, -0.07443188038505927, 0.09066292879606026, -0.08909884338979335, -0.14934728267610448, -0.018946198758301364, 0.26267092535663555, -0.34059504922498957, -0.28055263529805574, 0.08458547477078225, -0.2828053617458634, -0.1612517546741057, 0.1760002603488309, -0.022532355750543104, 0.02518004071879193, 0.04539765395271052, 0.050333005546380864, -0.03189082903310093, -0.16912126671053282, 0.30647862395036873, 0.06845466767343841, 0.24230056515887005, 0.04630811499942147, 0.09881031167294298, -0.05266517434198754, -0.018490929172194304, 0.012063308180693318, -0.12964544696498567, 0.029701618250741177, 0.2093950599478949, 0.04147793866005264, 0.24402801498395055, -0.4722733084237626, -0.27644830628321704, 0.0644846655537977, 0.20672807491877498, 0.15228759317791887, -0.01183292137443268, -0.26309708051946984, -0.009766402800113526, -0.13705803341224415, -0.18410113018041305, -0.06185454122150833, 0.043892195231101216, 0.06030209909561051, -0.2578485449189085, 0.19310926374594853, 0.1012639997795052, -0.019124330847109315, -0.10388958298585557, -0.09406792231592812, -0.04566313490905494, 0.13492468260854734, 0.04964837270687107, -0.007298209057815624, 0.11677135187083808, -0.20045405278029313, -0.00660393968177568, 0.4129001810645857, -0.09131103353927053, -0.2851028411077852, 0.15365533348360733, -0.17745733954904586, -0.08801645548728552, 0.13656300007162162, 0.10520662243297997, 0.11800463924492845, -0.21132713593855626, 0.08813901601590123, -0.02129046613068766, 0.12430228908280176, 0.0584988087785485, -0.00032289571299006333, 0.139568812503409, 0.14886596580446862, 0.01765010182299659, 0.08883601883348047, -0.04517693560132209, -0.14191124689992235, -0.3680905931699677, -0.14974026516580782, -0.19548198335780567, 0.11938821569981715, -0.15020914906865776, -0.17863398508296913, 0.309478569685818, 0.1266726380492416, 0.16599037258752755, 0.008441644572034604, 0.24616211045048192, 0.21774183516292794, 0.008820094626021235, 0.07676120039013003, 0.20559276564231635, 0.15858094886868818, 0.1447713164487431, -0.25684303658654395, 0.15375840356729986, 0.09610466886812649] |
711.0848 | Bose-Einstein condensation and gauge symmetry breaking | The fundamental problem is analized, the relation between Bose-Einstein
condensation and spontaneous gauge symmetry breaking. This relation is largerly
misunderstood in physics community. Numerous articles and books contain the
statement that, though gauge symmetry breaking helps for describing
Bose-Einstein condensation, but the latter, in principle, does not require any
symmetry breaking. This, however, is not correct. The analysis is based on the
known mathematical theorems. But in order not to overcomplicate the
presentation and to make it accessible to all readers, technical details are
often omitted here. The emphasis is made on the following basic general facts:
Spontaneous breaking of gauge symmetry is the necessary and sufficient
condition for Bose-Einstein condensation. Condensate fluctuations, in
thermodynamic limit, are negligible. Their catastrophic behavior can arise only
as a result of incorrect calculations, when a Bose-condensed system is
described without gauge symmetry breaking. It is crucially important to employ
the representative statistical ensembles equipped with all conditions that are
necessary for a unique and mathematically correct description of the given
statistical system. Only then one is able to develop a self-consistent theory,
free of paradoxes.
| cond-mat.stat-mech | the fundamental problem is analized the relation between boseeinstein condensation and spontaneous gauge symmetry breaking this relation is largerly misunderstood in physics community numerous articles and books contain the statement that though gauge symmetry breaking helps for describing boseeinstein condensation but the latter in principle does not require any symmetry breaking this however is not correct the analysis is based on the known mathematical theorems but in order not to overcomplicate the presentation and to make it accessible to all readers technical details are often omitted here the emphasis is made on the following basic general facts spontaneous breaking of gauge symmetry is the necessary and sufficient condition for boseeinstein condensation condensate fluctuations in thermodynamic limit are negligible their catastrophic behavior can arise only as a result of incorrect calculations when a bosecondensed system is described without gauge symmetry breaking it is crucially important to employ the representative statistical ensembles equipped with all conditions that are necessary for a unique and mathematically correct description of the given statistical system only then one is able to develop a selfconsistent theory free of paradoxes | [['the', 'fundamental', 'problem', 'is', 'analized', 'the', 'relation', 'between', 'boseeinstein', 'condensation', 'and', 'spontaneous', 'gauge', 'symmetry', 'breaking', 'this', 'relation', 'is', 'largerly', 'misunderstood', 'in', 'physics', 'community', 'numerous', 'articles', 'and', 'books', 'contain', 'the', 'statement', 'that', 'though', 'gauge', 'symmetry', 'breaking', 'helps', 'for', 'describing', 'boseeinstein', 'condensation', 'but', 'the', 'latter', 'in', 'principle', 'does', 'not', 'require', 'any', 'symmetry', 'breaking', 'this', 'however', 'is', 'not', 'correct', 'the', 'analysis', 'is', 'based', 'on', 'the', 'known', 'mathematical', 'theorems', 'but', 'in', 'order', 'not', 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711.0849 | Duality for partial group actions | Given a finite group G acting as automorphisms on a ring A, the skew group
ring A*G is an important tool for studying the structure of G-stable ideals of
A. The ring A*G is G-graded, i.e.G coacts on A*G. The Cohen-Montgomery duality
says that the smash product A*G#k[G]^* of A*G with the dual group ring k[G]^*
is isomorphic to the full matrix ring M_n(A) over A, where n is the order of G.
In this note we show how much of the Cohen-Montgomery duality carries over to
partial group actions in the sense of R.Exel. In particular we show that the
smash product (A*_\alpha G)#k[G]^* of the partial skew group ring A*_\alpha G
and k[G]^* is isomorphic to a direct product of the form K x eM_n(A)e where e
is a certain idempotent of M_n(A) and K is a subalgebra of (A *_\alpha
G)#k[G]^*. Moreover A*_\alpha G is shown to be isomorphic to a separable
subalgebra of eM_n(A)e. We also look at duality for infinite partial group
actions and for partial Hopf actions.
| math.RA math.OA | given a finite group g acting as automorphisms on a ring a the skew group ring ag is an important tool for studying the structure of gstable ideals of a the ring ag is ggraded ieg coacts on ag the cohenmontgomery duality says that the smash product agkg of ag with the dual group ring kg is isomorphic to the full matrix ring m_na over a where n is the order of g in this note we show how much of the cohenmontgomery duality carries over to partial group actions in the sense of rexel in particular we show that the smash product a_alpha gkg of the partial skew group ring a_alpha g and kg is isomorphic to a direct product of the form k x em_nae where e is a certain idempotent of m_na and k is a subalgebra of a _alpha gkg moreover a_alpha g is shown to be isomorphic to a separable subalgebra of em_nae we also look at duality for infinite partial group actions and for partial hopf actions | [['given', 'a', 'finite', 'group', 'g', 'acting', 'as', 'automorphisms', 'on', 'a', 'ring', 'a', 'the', 'skew', 'group', 'ring', 'ag', 'is', 'an', 'important', 'tool', 'for', 'studying', 'the', 'structure', 'of', 'gstable', 'ideals', 'of', 'a', 'the', 'ring', 'ag', 'is', 'ggraded', 'ieg', 'coacts', 'on', 'ag', 'the', 'cohenmontgomery', 'duality', 'says', 'that', 'the', 'smash', 'product', 'agkg', 'of', 'ag', 'with', 'the', 'dual', 'group', 'ring', 'kg', 'is', 'isomorphic', 'to', 'the', 'full', 'matrix', 'ring', 'm_na', 'over', 'a', 'where', 'n', 'is', 'the', 'order', 'of', 'g', 'in', 'this', 'note', 'we', 'show', 'how', 'much', 'of', 'the', 'cohenmontgomery', 'duality', 'carries', 'over', 'to', 'partial', 'group', 'actions', 'in', 'the', 'sense', 'of', 'rexel', 'in', 'particular', 'we', 'show', 'that', 'the', 'smash', 'product', 'a_alpha', 'gkg', 'of', 'the', 'partial', 'skew', 'group', 'ring', 'a_alpha', 'g', 'and', 'kg', 'is', 'isomorphic', 'to', 'a', 'direct', 'product', 'of', 'the', 'form', 'k', 'x', 'em_nae', 'where', 'e', 'is', 'a', 'certain', 'idempotent', 'of', 'm_na', 'and', 'k', 'is', 'a', 'subalgebra', 'of', 'a', '_alpha', 'gkg', 'moreover', 'a_alpha', 'g', 'is', 'shown', 'to', 'be', 'isomorphic', 'to', 'a', 'separable', 'subalgebra', 'of', 'em_nae', 'we', 'also', 'look', 'at', 'duality', 'for', 'infinite', 'partial', 'group', 'actions', 'and', 'for', 'partial', 'hopf', 'actions']] | [-0.2060502815334479, 0.09436336357345235, -0.10375947978060979, -0.018861338144551258, -0.10297276113270479, -0.11663606393112409, -0.033715213213622926, 0.38475881931344436, -0.3734947439371305, -0.13747472635927727, 0.12700661136451888, -0.26901781871176417, -0.11923064545455482, 0.16037023405285453, -0.10751559453074043, -0.09949357784525409, 0.049805908625085764, 0.20954859906190335, -0.1081226473293934, -0.2572209244723481, 0.36334013827034883, -0.0017592414094895654, 0.18126688363063617, 0.025110358886211315, 0.11878722170974024, 0.02500871361264981, -0.004135791226097289, 0.025596641803149286, -0.14414834454092515, 0.0840220235869531, 0.2928202965726646, 0.07285162609224842, 0.22074691036002456, -0.33623692578465275, -0.07766264009691731, 0.18042393021572095, 0.10709725911164182, -0.06686332601965708, -0.015897132882010744, -0.26044437183430913, 0.15923813157907782, -0.277512245249422, -0.09010807775372925, -0.009883187310329292, 0.15271959017367054, -0.033391367126057836, -0.33021790146057567, -0.03478787748777506, 0.09438865062003658, 0.10243980859863687, 0.007313205813713504, -0.08809082855652334, -0.08642292764181128, 0.06634517644460385, -0.05690705133657131, 0.054076038823137884, 0.11728935944158915, -0.061674954147855114, -0.08466446246971106, 0.4164230209395025, -0.09637305932601682, -0.1756964416447035, 0.11828397190234122, -0.22051671393127484, -0.12054051100083533, 0.12297255253782992, 0.06334088142333034, 0.18771521938887573, 0.0021819037894343614, 0.23249725988527384, -0.20477991099397036, 0.10570763523233008, 0.04896066160927687, 0.0005912544211295582, 0.1224258745023044, 0.09419496950125818, 0.1248118643460867, 0.136791136666179, 0.06128557948340502, 0.038647705358425544, -0.35350031848754404, -0.2259254365961051, -0.10403143854800766, 0.1674872722611735, -0.08171397042500349, -0.1407589184582859, 0.37133451387666433, 0.04746386044542994, 0.17111770397592227, 0.029672474980618826, 0.17097835357648117, 0.058439117208117695, 0.08972541313513717, 0.051073748937989834, 0.06186032844101184, 0.2945900670467661, -0.08497532648750795, -0.19848599534525851, -0.03914725991274566, 0.21063248414447058] |
711.085 | The Great Observatories Origins Deep Survey. VLT/FORS2 Spectroscopy in
the GOODS-South Field: Part III | Aims. We present the full data set of the spectroscopic campaign of the
ESO/GOODS program in the GOODS-South field, obtained with the
FORS2 spectrograph at the ESO/VLT. Method. Objects were selected as
candidates for VLT/FORS2 observations primarily based on the expectation that
the detection and measurement of their spectral features would benefit from the
high throughput and spectral resolution of FORS2. The reliability of the
redshift estimates is assessed using the redshift-magnitude and color-redshift
diagrams, and comparing the results with public data. Results. Including the
third part of the spectroscopic campaign (12 masks) to the previous work (26
masks, Vanzella et al. 2005, 2006), 1715 spectra of 1225 individual targets
have been analyzed. The actual spectroscopic catalog provides 887 redshift
determinations. The typical redshift uncertainty is estimated to be sigma(z) ~
0.001. Galaxies have been selected adopting different color criteria and using
photometric redshifts. The resulting redshift distribution typically spans two
domains: from z=0.5 to 2 and z=3.5 to 6.3. The reduced spectra and the derived
redshifts are released to the community through the ESO web page
http://www.eso.org/science/goods/
| astro-ph | aims we present the full data set of the spectroscopic campaign of the esogoods program in the goodssouth field obtained with the fors2 spectrograph at the esovlt method objects were selected as candidates for vltfors2 observations primarily based on the expectation that the detection and measurement of their spectral features would benefit from the high throughput and spectral resolution of fors2 the reliability of the redshift estimates is assessed using the redshiftmagnitude and colorredshift diagrams and comparing the results with public data results including the third part of the spectroscopic campaign 12 masks to the previous work 26 masks vanzella et al 2005 2006 1715 spectra of 1225 individual targets have been analyzed the actual spectroscopic catalog provides 887 redshift determinations the typical redshift uncertainty is estimated to be sigmaz 0001 galaxies have been selected adopting different color criteria and using photometric redshifts the resulting redshift distribution typically spans two domains from z05 to 2 and z35 to 63 the reduced spectra and the derived redshifts are released to the community through the eso web page httpwwwesoorgsciencegoods | [['aims', 'we', 'present', 'the', 'full', 'data', 'set', 'of', 'the', 'spectroscopic', 'campaign', 'of', 'the', 'esogoods', 'program', 'in', 'the', 'goodssouth', 'field', 'obtained', 'with', 'the', 'fors2', 'spectrograph', 'at', 'the', 'esovlt', 'method', 'objects', 'were', 'selected', 'as', 'candidates', 'for', 'vltfors2', 'observations', 'primarily', 'based', 'on', 'the', 'expectation', 'that', 'the', 'detection', 'and', 'measurement', 'of', 'their', 'spectral', 'features', 'would', 'benefit', 'from', 'the', 'high', 'throughput', 'and', 'spectral', 'resolution', 'of', 'fors2', 'the', 'reliability', 'of', 'the', 'redshift', 'estimates', 'is', 'assessed', 'using', 'the', 'redshiftmagnitude', 'and', 'colorredshift', 'diagrams', 'and', 'comparing', 'the', 'results', 'with', 'public', 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711.0851 | Quantum Weibel Instability | The Weibel instability is analyzed for quantum plasmas described by the
Wigner-Maxwell model. For a suitable class of electromagnetic potentials, the
Wigner-Maxwell system is linearized yielding a general dispersion relation for
transverse electromagnetic waves. For a double Gaussian equilibrium with
temperature anisotropy, the derived dispersion relation generalizes the
classical Weibel instability equation. More detailed analytical results are
obtained for the cases of extreme temperature anisotropy and for a
three-dimensional water bag distribution. In all cases, quantum effects tends
to weaken or suppress the instability. Applications are discussed for dense
astrophysical objects like white dwarfs and neutron stars as well as for
tunnel-ionized plasmas with controllable perpendicular plasma temperature.
| physics.plasm-ph | the weibel instability is analyzed for quantum plasmas described by the wignermaxwell model for a suitable class of electromagnetic potentials the wignermaxwell system is linearized yielding a general dispersion relation for transverse electromagnetic waves for a double gaussian equilibrium with temperature anisotropy the derived dispersion relation generalizes the classical weibel instability equation more detailed analytical results are obtained for the cases of extreme temperature anisotropy and for a threedimensional water bag distribution in all cases quantum effects tends to weaken or suppress the instability applications are discussed for dense astrophysical objects like white dwarfs and neutron stars as well as for tunnelionized plasmas with controllable perpendicular plasma temperature | [['the', 'weibel', 'instability', 'is', 'analyzed', 'for', 'quantum', 'plasmas', 'described', 'by', 'the', 'wignermaxwell', 'model', 'for', 'a', 'suitable', 'class', 'of', 'electromagnetic', 'potentials', 'the', 'wignermaxwell', 'system', 'is', 'linearized', 'yielding', 'a', 'general', 'dispersion', 'relation', 'for', 'transverse', 'electromagnetic', 'waves', 'for', 'a', 'double', 'gaussian', 'equilibrium', 'with', 'temperature', 'anisotropy', 'the', 'derived', 'dispersion', 'relation', 'generalizes', 'the', 'classical', 'weibel', 'instability', 'equation', 'more', 'detailed', 'analytical', 'results', 'are', 'obtained', 'for', 'the', 'cases', 'of', 'extreme', 'temperature', 'anisotropy', 'and', 'for', 'a', 'threedimensional', 'water', 'bag', 'distribution', 'in', 'all', 'cases', 'quantum', 'effects', 'tends', 'to', 'weaken', 'or', 'suppress', 'the', 'instability', 'applications', 'are', 'discussed', 'for', 'dense', 'astrophysical', 'objects', 'like', 'white', 'dwarfs', 'and', 'neutron', 'stars', 'as', 'well', 'as', 'for', 'tunnelionized', 'plasmas', 'with', 'controllable', 'perpendicular', 'plasma', 'temperature']] | [-0.11988733823225764, 0.2133167600819703, -0.03482403409563833, 0.1461324976149222, -0.0833460721489111, -0.13571383956716293, -0.03521078597220737, 0.30929545571820605, -0.20852217616737578, -0.25295606102035556, 0.02746532013622561, -0.2739267330530479, -0.06353365852394038, 0.27298746645640304, 0.03546044318419364, 0.08388999225226818, 0.04336585369957094, -0.018805299978811054, -0.03997140070930106, -0.1589379997727789, 0.32574882815350537, 0.0884622233053152, 0.2676890718931746, 0.003042557712264911, 0.056720339294298795, -0.010192382996643169, 0.03151328586628316, 0.04810836251538233, -0.16297681642848788, -0.041622767039505695, 0.23555638510043975, 0.003402544562791095, 0.18792029479475417, -0.38851741998008005, -0.3179017803286789, 0.0042726195210384, 0.1417519017510737, 0.12999848053894109, -0.0779528576020783, -0.25617121631296835, 0.06046062631099226, -0.16171550936134602, -0.2241727509363382, -0.06580560431056828, 0.04872891206738401, 0.07825708977826354, -0.31810157827136143, 0.1443044111009739, 0.10465349635234344, 0.040663680208295035, -0.10722766898969119, -0.11316822343549036, -0.0327537028588941, 0.028028186895729352, 0.017519639206713893, 0.030877988697115884, 0.16232769125727592, -0.1679330368621137, -0.04109633441462561, 0.4142781487214422, -0.07996864180313423, -0.18311170339950844, 0.19332659500866645, -0.1497793860293718, -0.0766527814730243, 0.13134770202277987, 0.13923227294624127, 0.1013157541531621, -0.1320598896170311, 0.06551398729149056, -0.0022000657584242246, 0.07210949348518625, 0.1175853640306741, 0.043872638168438616, 0.2701252358275707, 0.13502786391742388, 0.0014708119388497263, 0.1401856907371742, -0.08120930547550044, -0.08669016850439624, -0.2830309454670728, -0.1320251412086051, -0.1253786031081324, 0.03786283595211528, -0.08834072319560046, -0.20582768962615067, 0.33213209530718074, 0.12180369661601381, 0.10801828449971422, -0.011308993005918132, 0.2866816090212928, 0.1435969509766437, 0.0010521315400385195, 0.10870470074695293, 0.2871296513627318, 0.2575438537794441, 0.14192190297223903, -0.23885041804708265, 0.020163882661748816, 0.04399492932026516] |
711.0852 | Phase transitions induced by saddle points of vanishing curvature | Based on the study of saddle points of the potential energy landscapes of
generic classical many-particle systems, we present a necessary criterion for
the occurrence of a thermodynamic phase transition. Remarkably, this criterion
imposes conditions on microscopic properties, namely curvatures at the saddle
points of the potential, and links them to the macroscopic phenomenon of a
phase transition. We apply our result to two exactly solvable models,
corroborating that the criterion derived is not only valid, but also sharp and
useful: For both models studied, the criterion excludes the occurrence of a
phase transition for all values of the potential energy but the transition
energy. This result adds a geometrical ingredient to an established topological
condition for the occurrence of a phase transition, thereby providing an answer
to the long standing question of which topology changes in configuration space
can induce a phase transition.
| cond-mat.stat-mech math-ph math.MP | based on the study of saddle points of the potential energy landscapes of generic classical manyparticle systems we present a necessary criterion for the occurrence of a thermodynamic phase transition remarkably this criterion imposes conditions on microscopic properties namely curvatures at the saddle points of the potential and links them to the macroscopic phenomenon of a phase transition we apply our result to two exactly solvable models corroborating that the criterion derived is not only valid but also sharp and useful for both models studied the criterion excludes the occurrence of a phase transition for all values of the potential energy but the transition energy this result adds a geometrical ingredient to an established topological condition for the occurrence of a phase transition thereby providing an answer to the long standing question of which topology changes in configuration space can induce a phase transition | [['based', 'on', 'the', 'study', 'of', 'saddle', 'points', 'of', 'the', 'potential', 'energy', 'landscapes', 'of', 'generic', 'classical', 'manyparticle', 'systems', 'we', 'present', 'a', 'necessary', 'criterion', 'for', 'the', 'occurrence', 'of', 'a', 'thermodynamic', 'phase', 'transition', 'remarkably', 'this', 'criterion', 'imposes', 'conditions', 'on', 'microscopic', 'properties', 'namely', 'curvatures', 'at', 'the', 'saddle', 'points', 'of', 'the', 'potential', 'and', 'links', 'them', 'to', 'the', 'macroscopic', 'phenomenon', 'of', 'a', 'phase', 'transition', 'we', 'apply', 'our', 'result', 'to', 'two', 'exactly', 'solvable', 'models', 'corroborating', 'that', 'the', 'criterion', 'derived', 'is', 'not', 'only', 'valid', 'but', 'also', 'sharp', 'and', 'useful', 'for', 'both', 'models', 'studied', 'the', 'criterion', 'excludes', 'the', 'occurrence', 'of', 'a', 'phase', 'transition', 'for', 'all', 'values', 'of', 'the', 'potential', 'energy', 'but', 'the', 'transition', 'energy', 'this', 'result', 'adds', 'a', 'geometrical', 'ingredient', 'to', 'an', 'established', 'topological', 'condition', 'for', 'the', 'occurrence', 'of', 'a', 'phase', 'transition', 'thereby', 'providing', 'an', 'answer', 'to', 'the', 'long', 'standing', 'question', 'of', 'which', 'topology', 'changes', 'in', 'configuration', 'space', 'can', 'induce', 'a', 'phase', 'transition']] | [-0.18212423999244087, 0.12413975928393484, -0.11517239382697476, 0.09901394851153276, -0.04310549500223715, -0.1394005905442302, 0.1322951708959105, 0.30646180311709437, -0.23750414192586, -0.2843207315729362, 0.07829443398643182, -0.21953127227607183, -0.18575402347940123, 0.17342137386893025, -0.005869816949901481, 0.043084492010469454, 0.011074042492610816, 0.04888075089547783, -0.08960091354836347, -0.1903426691658549, 0.35775729017202845, 0.03622784854188568, 0.2777483148771959, 0.11528714946729855, 0.08211231990632466, -0.021078406576028403, 0.07604763256191897, 0.019850325320981535, -0.20039179134886986, 0.054549291538781595, 0.21873938546019012, 0.07217510934990262, 0.23055970463125655, -0.39138963074785554, -0.24580536574487472, 0.14862038697335972, 0.10166935145389289, 0.13189259617340415, -0.05889191196021986, -0.2709431893761373, 0.053315399311638124, -0.09332274298584606, -0.18304316881888857, -0.09875757046716495, 0.007028364789827417, -0.02437894171614769, -0.271717667537612, 0.09018585276236182, 0.1269929515834115, 0.05013194394882703, -0.10196636245463095, -0.04573151296386237, -0.03745728303490776, 0.1337430756409756, 0.020549050645709284, 0.016530567711419683, 0.0778168999531772, -0.12375585382041107, -0.0941965968975435, 0.39562743494106045, -0.018702951738507383, -0.14056692967066434, 0.21504884536585045, -0.11443666613518468, -0.11548266327331981, 0.15849172686769938, 0.1191381535981135, 0.10758579769753851, -0.13199742219229746, 0.03832628101857457, 0.0173737531392059, 0.13801297248573974, 0.042361973358007766, 0.04997962969678661, 0.22479502184109557, 0.1435413816620389, 0.09054775769537729, 0.14658959190961063, -0.07703729300010309, -0.15475727334786724, -0.3316903297478954, -0.15659399897979004, -0.19781800829756926, 0.026805642400480185, -0.08035396108668162, -0.22315921276781914, 0.42938131043208866, 0.14377170754232793, 0.2360164183580006, 0.0398050201984006, 0.23559318191190767, 0.13792084973425112, 0.009584667038224224, 0.01719706084824995, 0.26347936294041574, 0.1390411971628459, 0.08625555334017715, -0.19276658736473312, 0.06342874966018523, 0.10743234394612955] |
711.0853 | Anisotropic solitons in dipolar Bose-Einstein Condensates | Starting with a Gaussian variational ansatz, we predict anisotropic bright
solitons in quasi-2D Bose-Einstein condensates consisting of atoms with dipole
moments polarized \emph{perpendicular} to the confinement direction. Unlike
isotropic solitons predicted for the moments aligned with the confinement axis
[Phys. Rev. Lett. \textbf{95}, 200404 (2005)], no sign reversal of the
dipole-dipole interaction is necessary to support the solitons. Direct 3D
simulations confirm their stability.
| cond-mat.other | starting with a gaussian variational ansatz we predict anisotropic bright solitons in quasi2d boseeinstein condensates consisting of atoms with dipole moments polarized emphperpendicular to the confinement direction unlike isotropic solitons predicted for the moments aligned with the confinement axis phys rev lett textbf95 200404 2005 no sign reversal of the dipoledipole interaction is necessary to support the solitons direct 3d simulations confirm their stability | [['starting', 'with', 'a', 'gaussian', 'variational', 'ansatz', 'we', 'predict', 'anisotropic', 'bright', 'solitons', 'in', 'quasi2d', 'boseeinstein', 'condensates', 'consisting', 'of', 'atoms', 'with', 'dipole', 'moments', 'polarized', 'emphperpendicular', 'to', 'the', 'confinement', 'direction', 'unlike', 'isotropic', 'solitons', 'predicted', 'for', 'the', 'moments', 'aligned', 'with', 'the', 'confinement', 'axis', 'phys', 'rev', 'lett', 'textbf95', '200404', '2005', 'no', 'sign', 'reversal', 'of', 'the', 'dipoledipole', 'interaction', 'is', 'necessary', 'to', 'support', 'the', 'solitons', 'direct', '3d', 'simulations', 'confirm', 'their', 'stability']] | [-0.1754554581739718, 0.16840461833727738, -0.01868427184129518, 0.003485603518562303, -0.09807817563959693, -0.11559391136665548, -0.029192734040349486, 0.4542973201633209, -0.123816805403857, -0.25277908238035346, -0.07932773263688894, -0.2814664328027339, -0.07391542202926107, 0.09339383320276817, 0.059904494263704804, 0.018814211267800557, 0.019622748333310323, -0.07470623995103533, -0.08591528392086427, -0.21959517174769963, 0.19932148511713696, 0.034241869945877364, 0.35211847437220434, 0.06498488191042155, 0.02167733292287541, 0.061651125528095735, 0.09379798408952497, -0.04486586854216598, -0.20564243553708944, 0.04544269036324251, 0.1412281877266997, -0.1035101121321084, 0.16310199806910186, -0.4563997977132362, -0.2181015806420455, 0.11744012182489746, 0.13836781912213486, 0.21402391832735804, -0.031731415037361405, -0.4175009663615908, -0.019732156764745476, -0.14098435582681781, -0.2616504717041694, -0.15880407916293257, 0.10057193744883296, 0.10111862728520045, -0.32992961457265274, 0.19389071648142167, 0.11386800040343097, 0.07046244799026422, -0.07261812097082536, -0.049494198776618946, -0.07050678552505338, -0.08564176243944241, 0.036955837260133455, 0.07915156976955515, 0.09779512591748721, -0.07877283769711438, -0.14752106450586802, 0.391276272664231, -0.10639622284742516, -0.16360056817176796, 0.2060781390930984, -0.11652501345527107, -0.033905056889154135, 0.1643538675492718, 0.1549377400235879, 0.12240557749533937, -0.0650999496676146, 0.04264699892392234, -0.09591120989283636, 0.1627305479986327, 0.14392441369238354, -0.015137087422541327, 0.29410937558563927, 0.10639297249653036, -0.037766012806622756, 0.12073723492877823, -0.11668558319705347, -0.1783348976353568, -0.2605441918167921, -0.13324357329734735, -0.2636313712786114, 0.05576917032400767, 0.01057796352700005, -0.15813805797092972, 0.3540714598659958, 0.11205759654117245, 0.18961522018625623, -0.04938959408669718, 0.23861507439453686, 0.05252212141862228, 0.0050151518006469045, 0.13796342221931332, 0.33529276513154543, 0.2639548359438777, 0.12340820714506129, -0.2730889349754545, -0.07388286771518844, 0.047820201661023826] |
711.0854 | Matter-wave squeezing and the generation of SU(1,1) and SU(2)
coherent-states via Feshbach resonances | Pair operators for boson and fermion atoms generate SU(1,1) and SU(2) Lie
algebras, respectively. Consequently, the pairing of boson and fermion atoms
into diatomic molecules via Feshbach resonances, produces SU(1,1) and SU(2)
coherent states, making bosonic pairing the matter-wave equivalent of
parametric coupling and fermion pairing equivalent to the Dicke model of
quantum optics. We discuss the properties of atomic states generated in the
dissociation of molecular Bose-Einstein condensates into boson or fermion
constituent atoms. The SU(2) coherent states produced in dissociation into
fermions give Poissonian atom-number distributions, whereas the SU(1,1) states
generated in dissociation into bosons result in super-poissonian distributions,
in analogy to two-photon squeezed states. In contrast, starting from an atomic
gas produces coherent number distributions for bosons and super-poissonian
distributions for fermions.
| cond-mat.other | pair operators for boson and fermion atoms generate su11 and su2 lie algebras respectively consequently the pairing of boson and fermion atoms into diatomic molecules via feshbach resonances produces su11 and su2 coherent states making bosonic pairing the matterwave equivalent of parametric coupling and fermion pairing equivalent to the dicke model of quantum optics we discuss the properties of atomic states generated in the dissociation of molecular boseeinstein condensates into boson or fermion constituent atoms the su2 coherent states produced in dissociation into fermions give poissonian atomnumber distributions whereas the su11 states generated in dissociation into bosons result in superpoissonian distributions in analogy to twophoton squeezed states in contrast starting from an atomic gas produces coherent number distributions for bosons and superpoissonian distributions for fermions | [['pair', 'operators', 'for', 'boson', 'and', 'fermion', 'atoms', 'generate', 'su11', 'and', 'su2', 'lie', 'algebras', 'respectively', 'consequently', 'the', 'pairing', 'of', 'boson', 'and', 'fermion', 'atoms', 'into', 'diatomic', 'molecules', 'via', 'feshbach', 'resonances', 'produces', 'su11', 'and', 'su2', 'coherent', 'states', 'making', 'bosonic', 'pairing', 'the', 'matterwave', 'equivalent', 'of', 'parametric', 'coupling', 'and', 'fermion', 'pairing', 'equivalent', 'to', 'the', 'dicke', 'model', 'of', 'quantum', 'optics', 'we', 'discuss', 'the', 'properties', 'of', 'atomic', 'states', 'generated', 'in', 'the', 'dissociation', 'of', 'molecular', 'boseeinstein', 'condensates', 'into', 'boson', 'or', 'fermion', 'constituent', 'atoms', 'the', 'su2', 'coherent', 'states', 'produced', 'in', 'dissociation', 'into', 'fermions', 'give', 'poissonian', 'atomnumber', 'distributions', 'whereas', 'the', 'su11', 'states', 'generated', 'in', 'dissociation', 'into', 'bosons', 'result', 'in', 'superpoissonian', 'distributions', 'in', 'analogy', 'to', 'twophoton', 'squeezed', 'states', 'in', 'contrast', 'starting', 'from', 'an', 'atomic', 'gas', 'produces', 'coherent', 'number', 'distributions', 'for', 'bosons', 'and', 'superpoissonian', 'distributions', 'for', 'fermions']] | [-0.10755494143487886, 0.39011588639498224, -0.06613499791012145, 0.13887840935960413, 0.03664596649631858, -0.2070967298038304, 0.0641235255356878, 0.3875656076669693, -0.1842811162546277, -0.16544708897918461, -0.1427293057423085, -0.2932061698548496, -0.005303892388008535, 0.11747434651851654, 0.08271686167269945, 0.06801322078704834, 0.07091720647364855, 8.316842466592788e-05, -0.042297239512205126, -0.23729377552494407, 0.3611592449322343, -0.05774368140753359, 0.2818419176787138, 0.03852038687095046, 0.10739027799188625, 0.06963984515145422, 0.10520824311114847, -0.18495809295773505, -0.0646989522203803, 0.10370884347660467, 0.25661019574850796, -0.037419698879122734, 0.11589590376988053, -0.437674150377512, -0.1464902432821691, 0.10375444044545293, 0.23072268583695404, 0.20716336794011295, -0.04753395220078528, -0.4380210461318493, -0.0747951728515327, -0.21634851479157804, -0.14129345232248305, -0.13765943125635385, -0.018751454293727876, -0.04836942992778495, -0.28444392447918654, 0.10129018401354552, 0.02884514911333099, 0.07669622890651226, -0.049219684645533564, -0.12765507159009576, -0.0923700936678797, -0.03050911678560078, -0.03254726325068623, -0.02787224180996418, 0.18227015518024564, -0.23811814445769414, -0.17705958611890674, 0.42715801653964447, -0.12419242121838034, -0.1708369837105274, 0.172497110247612, -0.13855053291469813, -0.07408225892856717, 0.14056017562374473, 0.11567682211846113, 0.03396380749344826, -0.09468510659784078, 0.10307072277087719, -0.09229912719130516, 0.14419421496335416, 0.12422041466087103, 0.18955906137079, 0.2561396583914757, 0.06297510926797986, 0.019030206233263017, 0.19676942294090985, -0.05359696412086487, -0.21076263036951423, -0.29568239803984764, -0.1717481168601662, -0.18028798362612725, 0.08761680851783603, 0.011825696751242504, -0.13991065179556608, 0.39310715629160403, 0.08094017294421792, 0.2084256894290447, -0.07996684280782938, 0.21869278386980295, 0.1598156590536237, 0.05077132005058229, -0.02967051125317812, 0.20703490621969103, 0.29070333040319385, -0.027803251755423843, -0.2915232911538333, -0.12294980761408805, 0.0895174050796777] |
711.0855 | The Aharonov-Bohm-Effect, Non-commutative Geometry, Dislocation Theory,
and Magnetism | The four items mentioned in the title are put into context in an informal
way.
| cond-mat.mtrl-sci | the four items mentioned in the title are put into context in an informal way | [['the', 'four', 'items', 'mentioned', 'in', 'the', 'title', 'are', 'put', 'into', 'context', 'in', 'an', 'informal', 'way']] | [-0.10086400136351585, 0.07494442038490282, -0.039532756557067235, 0.13317299808065097, -0.1461665133635203, -0.07791809799770515, 0.03981434255838394, 0.3806435282031695, -0.2761661749333143, -0.31671574898064137, 0.04024326855627199, -0.3253883702059587, -0.05607973579317331, 0.16611002140368025, -0.1072505680223306, -0.05470342145611842, -0.04115069142232339, 0.10606184403101603, 0.03175526211659114, -0.43573162506024044, 0.3738286107778549, 0.018245667094985644, 0.29430773357550305, 0.0022752963006496428, -0.011345125486453373, -0.027681599495311578, -0.10039530446132024, 0.01905776873851816, -0.07381856342156728, 0.13214329220354556, 0.39595382337768875, 0.1453720505038897, 0.35622456719477974, -0.49905718863010406, -0.10710101447378596, -0.035881670316060384, 0.14204877798135082, 0.06719478176285823, -0.07525731697678566, -0.35207402557134626, -0.021864556769529978, -0.18016819432377815, -0.007835286747043332, -0.023318191121021906, 0.03871291230122249, -0.054673655331134795, -0.10557085108011961, -0.06972255812337001, 0.14914537469546, 0.08262344213823478, -0.11425958955660462, -0.19366030544042587, 0.11494595954815547, 0.1757217753989001, 0.0991350494325161, -0.02928693499416113, 0.05572663942972819, -0.11543385509091118, -0.11682152065138023, 0.45008839666843414, -0.001047631415228049, -0.21994155645370483, 0.1424611096580823, -0.07288042778770129, -0.22109035132452845, 0.03196722272938738, 0.16524087761839232, 0.017438534026344616, -0.2805885468920072, 0.07041761614382266, -0.14769281273086865, 0.13107366214195887, 0.11327411380286018, 0.016534134683509668, 0.24397801806529362, 0.1723866318895792, -0.035602919509013495, 0.13767199156184992, 0.06911432345708211, -0.10294718267396093, -0.3445319493611654, -0.21149468198418617, -0.055872327213486034, -0.03190241976020237, -0.018781971434752145, -0.08017600147674481, 0.3505889356136322, 0.19502516301969688, 0.26243495556215446, -0.043988240386048955, 0.23999510630965232, 0.08374556389947732, 0.029232979814211527, 0.03531281426548958, 0.20522643150761724, 0.0024945424248774845, 0.15911875007053217, 0.027122252931197483, 0.09596599290768305, 0.15066608575483162] |
711.0856 | First order transition in a three dimensional disordered system | We present the first detailed numerical study in three dimensions of a
first-order phase transition that remains first-order in the presence of
quenched disorder (specifically, the ferromagnetic/paramagnetic transition of
the site-diluted four states Potts model). A tricritical point, which lies
surprisingly near to the pure-system limit and is studied by means of
Finite-Size Scaling, separates the first-order and second-order parts of the
critical line. This investigation has been made possible by a new definition of
the disorder average that avoids the diverging-variance probability
distributions that plague the standard approach. Entropy, rather than free
energy, is the basic object in this approach that exploits a recently
introduced microcanonical Monte Carlo method.
| cond-mat.stat-mech cond-mat.dis-nn | we present the first detailed numerical study in three dimensions of a firstorder phase transition that remains firstorder in the presence of quenched disorder specifically the ferromagneticparamagnetic transition of the sitediluted four states potts model a tricritical point which lies surprisingly near to the puresystem limit and is studied by means of finitesize scaling separates the firstorder and secondorder parts of the critical line this investigation has been made possible by a new definition of the disorder average that avoids the divergingvariance probability distributions that plague the standard approach entropy rather than free energy is the basic object in this approach that exploits a recently introduced microcanonical monte carlo method | [['we', 'present', 'the', 'first', 'detailed', 'numerical', 'study', 'in', 'three', 'dimensions', 'of', 'a', 'firstorder', 'phase', 'transition', 'that', 'remains', 'firstorder', 'in', 'the', 'presence', 'of', 'quenched', 'disorder', 'specifically', 'the', 'ferromagneticparamagnetic', 'transition', 'of', 'the', 'sitediluted', 'four', 'states', 'potts', 'model', 'a', 'tricritical', 'point', 'which', 'lies', 'surprisingly', 'near', 'to', 'the', 'puresystem', 'limit', 'and', 'is', 'studied', 'by', 'means', 'of', 'finitesize', 'scaling', 'separates', 'the', 'firstorder', 'and', 'secondorder', 'parts', 'of', 'the', 'critical', 'line', 'this', 'investigation', 'has', 'been', 'made', 'possible', 'by', 'a', 'new', 'definition', 'of', 'the', 'disorder', 'average', 'that', 'avoids', 'the', 'divergingvariance', 'probability', 'distributions', 'that', 'plague', 'the', 'standard', 'approach', 'entropy', 'rather', 'than', 'free', 'energy', 'is', 'the', 'basic', 'object', 'in', 'this', 'approach', 'that', 'exploits', 'a', 'recently', 'introduced', 'microcanonical', 'monte', 'carlo', 'method']] | [-0.12709331132511445, 0.14788058495011042, -0.11320592639364165, 0.06168618964794506, 0.0022035708512972902, -0.1253812073695439, 0.0943480988822153, 0.3366213212548583, -0.19310435597651154, -0.25433473619718655, 0.05867328268100715, -0.2980729204568046, -0.171051863770656, 0.1287146683208886, 0.014045906507548082, 0.09465807446071671, 0.0013081195173543637, 0.017736207417867803, -0.13195504110222422, -0.17717080997061674, 0.35497114027815835, 0.03496928044801785, 0.3024583053171497, 0.06762600434875046, 0.07430942606663814, 0.007209372506218238, 0.024762536623273736, 0.06716172770959222, -0.16136998500318173, 0.06957067833529974, 0.1884858595644969, 0.04450232093438023, 0.2731960823164425, -0.35165871979875696, -0.25981142797886775, 0.10032975717439074, 0.14657934857920432, 0.14172451252401247, -0.04048101432380025, -0.28455860386236087, 0.07270982046611607, -0.16087370322741293, -0.14367162556111537, -0.0877920641494846, -0.018078312502001172, -0.030785668928055437, -0.2212396420331465, 0.10873004289223226, 0.1060494931621684, 0.08402080962750241, -0.004919712665637403, -0.08806726023451322, -0.006040170348973738, 0.0984573805514999, 0.03451681701160312, 0.03530761322084194, 0.10879478944224064, -0.11705769612712578, -0.1228368673937102, 0.3665522989058108, -0.02338733063448604, -0.13257101866313153, 0.19091946115130903, -0.15211112373637864, -0.16663235782956085, 0.1792028059242983, 0.08910111263308122, 0.14938342599715623, -0.16979914300005744, 0.11109777953566259, -0.00853903244111549, 0.18129773763212143, 0.007891808101838385, -0.035788563166365576, 0.1961316507163078, 0.18802797799947224, 0.03407388231156532, 0.21323281264415495, -0.11733039566833112, -0.24732006555132102, -0.3159776597490741, -0.15915303999834038, -0.2234771855917104, 0.010377355997830077, -0.09852231249371673, -0.20489231202992852, 0.3800775940116081, 0.22439816277862215, 0.18007865853077318, 0.053762995294096914, 0.2861773913372653, 0.15658076055330672, 0.024458110737786802, 0.04884743158860753, 0.24804458525721673, 0.11318697926967784, 0.080261136055924, -0.22706831407008898, 0.05733545942025052, 0.11720079024477552] |
711.0857 | Stringy cosmic strings in matter coupled N=2, d=4 supergravity | We extend the system of ungauged N=2, d=4 supergravity coupled to vector
multiplets and hypermultiplets with 2-form potentials. The maximal number of
2-form potentials that one may introduce is equal to the number of isometries
of either the special Kaehler or quaternionic Kaehler sigma model. We show that
the local supersymmetry algebra can be realized on the 2-form potentials. These
2-forms couple electrically to strings which we refer to as stringy cosmic
strings. The 1/2 BPS bosonic world-sheet actions for these strings are
constructed and we discuss the properties of the 1/2 BPS stringy cosmic string
solutions.
| hep-th | we extend the system of ungauged n2 d4 supergravity coupled to vector multiplets and hypermultiplets with 2form potentials the maximal number of 2form potentials that one may introduce is equal to the number of isometries of either the special kaehler or quaternionic kaehler sigma model we show that the local supersymmetry algebra can be realized on the 2form potentials these 2forms couple electrically to strings which we refer to as stringy cosmic strings the 12 bps bosonic worldsheet actions for these strings are constructed and we discuss the properties of the 12 bps stringy cosmic string solutions | [['we', 'extend', 'the', 'system', 'of', 'ungauged', 'n2', 'd4', 'supergravity', 'coupled', 'to', 'vector', 'multiplets', 'and', 'hypermultiplets', 'with', '2form', 'potentials', 'the', 'maximal', 'number', 'of', '2form', 'potentials', 'that', 'one', 'may', 'introduce', 'is', 'equal', 'to', 'the', 'number', 'of', 'isometries', 'of', 'either', 'the', 'special', 'kaehler', 'or', 'quaternionic', 'kaehler', 'sigma', 'model', 'we', 'show', 'that', 'the', 'local', 'supersymmetry', 'algebra', 'can', 'be', 'realized', 'on', 'the', '2form', 'potentials', 'these', '2forms', 'couple', 'electrically', 'to', 'strings', 'which', 'we', 'refer', 'to', 'as', 'stringy', 'cosmic', 'strings', 'the', '12', 'bps', 'bosonic', 'worldsheet', 'actions', 'for', 'these', 'strings', 'are', 'constructed', 'and', 'we', 'discuss', 'the', 'properties', 'of', 'the', '12', 'bps', 'stringy', 'cosmic', 'string', 'solutions']] | [-0.20776648867452882, 0.20857166724529155, 0.018512238258707153, 0.1286395003925529, -0.12367677950953163, -0.19376910944498077, -0.05667611015432505, 0.3074239065208155, -0.17855835366110825, -0.25286947471118465, 0.0596074931822794, -0.3114513233328027, -0.15199331594775095, 0.06769895913156192, -0.09047369677189392, 0.007027414161711931, -0.023596935588674445, 0.106760132239325, -0.06896015002689872, -0.35178473404339833, 0.39135758654627295, -0.03493151378808255, 0.20749197637700698, 0.014972608128428152, 0.11404582956978648, -0.04663149891757243, 0.029853061686471564, -0.03571029245546184, -0.10064794834221344, 0.1247369751247779, 0.21238728149880454, 0.09438078100168981, 0.02335012350807485, -0.48947934285958405, -0.2091374017103796, 0.1772150116895815, 0.1955521252611172, 0.14363405199783863, 0.023896174818594202, -0.2851406718729083, 0.08704927310193937, -0.1263850582955578, -0.18297806880244813, -0.1359370234182354, 0.01966993004256456, -0.05823377012899242, -0.1948826263740313, 0.04733356728924189, 0.015346500374491989, 0.016975981065734606, -0.13017287428164376, -0.08556593359644842, -0.13391727607543627, 0.04905637467193619, 0.1125907785098366, 0.08745131639706105, 0.15811738615721158, -0.17484593279563734, -0.18419152010501044, 0.33009057538103814, -0.09286655944330406, -0.33136283330014454, 0.11112657101997703, -0.12193000692029282, -0.17860099612303154, 0.07556004712439728, 0.08762126270028733, 0.18640959757312978, -0.11025876782296859, 0.2437611997653202, -0.042127077993408764, 0.13646216571484646, 0.13368941231429116, 0.05510663191221424, 0.2782206506055501, 0.05464031962082558, 0.045039986259635234, 0.13418877168832175, 0.003406438930920258, -0.08387726273618101, -0.4401633333145958, -0.13515387266663084, -0.0787407614425132, 0.19831523282895075, -0.13653570329548417, -0.19216148884602122, 0.37878064922604365, 0.0641236476151311, 0.15627800489382185, 0.09070584599586376, 0.1278020200372395, 0.04452539072972098, 0.09874371861674122, 0.056309038314718715, 0.23650030737632366, 0.21777550084036343, 0.03540700028372026, -0.22222685076946816, -0.26009663446451126, 0.19096103233774914] |
711.0858 | Weighted power variations of iterated Brownian motion | We characterize the asymptotic behaviour of the weighted power variation
processes associated with iterated Brownian motion. We prove weak convergence
results in the sense of finite dimensional distributions, and show that the
laws of the limiting objects can always be expressed in terms of three
independent Brownian motions X, Y and B, as well as of the local times of Y. In
particular, our results involve ``weighted'' versions of Kesten and Spitzer's
Brownian motion in random scenery. Our findings extend the theory initiated by
Khoshnevisan and Lewis (1999), and should be compared with the recent result by
Nourdin and R\'eveillac (2008), concerning the weighted power variations of
fractional Brownian motion with Hurst index H=1/4.
| math.PR | we characterize the asymptotic behaviour of the weighted power variation processes associated with iterated brownian motion we prove weak convergence results in the sense of finite dimensional distributions and show that the laws of the limiting objects can always be expressed in terms of three independent brownian motions x y and b as well as of the local times of y in particular our results involve weighted versions of kesten and spitzers brownian motion in random scenery our findings extend the theory initiated by khoshnevisan and lewis 1999 and should be compared with the recent result by nourdin and reveillac 2008 concerning the weighted power variations of fractional brownian motion with hurst index h14 | [['we', 'characterize', 'the', 'asymptotic', 'behaviour', 'of', 'the', 'weighted', 'power', 'variation', 'processes', 'associated', 'with', 'iterated', 'brownian', 'motion', 'we', 'prove', 'weak', 'convergence', 'results', 'in', 'the', 'sense', 'of', 'finite', 'dimensional', 'distributions', 'and', 'show', 'that', 'the', 'laws', 'of', 'the', 'limiting', 'objects', 'can', 'always', 'be', 'expressed', 'in', 'terms', 'of', 'three', 'independent', 'brownian', 'motions', 'x', 'y', 'and', 'b', 'as', 'well', 'as', 'of', 'the', 'local', 'times', 'of', 'y', 'in', 'particular', 'our', 'results', 'involve', 'weighted', 'versions', 'of', 'kesten', 'and', 'spitzers', 'brownian', 'motion', 'in', 'random', 'scenery', 'our', 'findings', 'extend', 'the', 'theory', 'initiated', 'by', 'khoshnevisan', 'and', 'lewis', '1999', 'and', 'should', 'be', 'compared', 'with', 'the', 'recent', 'result', 'by', 'nourdin', 'and', 'reveillac', '2008', 'concerning', 'the', 'weighted', 'power', 'variations', 'of', 'fractional', 'brownian', 'motion', 'with', 'hurst', 'index', 'h14']] | [-0.061967272248135453, 0.13599349341861772, -0.09637175407260656, 0.022698965332095037, -0.012051363728875131, -0.05758834477277113, 0.03685123372818915, 0.3437035827521692, -0.2884804374914159, -0.2905584614511514, 0.10695894952585693, -0.27733160285769326, -0.1616180051739017, 0.19830831672930926, -0.18109310402028395, 0.056970862046766435, 0.05136719069508999, -0.01403846973634995, 0.029641909927146083, -0.2688693376094626, 0.24546131998578316, 0.003688327249204903, 0.20481638148786468, -0.02742705677162137, 0.11182048954396394, 0.05897077420938825, -0.13872803107982404, 0.08566559328321825, -0.18310543540447774, 0.12312142573002922, 0.1745942400833755, 0.004418796333195866, 0.26431096789198355, -0.35029190510772823, -0.21152306906062, 0.11770733851498287, 0.12444158884331077, -0.030732097030666313, 0.032216952069000784, -0.3466578990654007, 0.06286186913208089, -0.1355263271303684, -0.1762997640313156, -0.0805665398518996, 0.08037622635898165, 0.1583031418068506, -0.29146889428068934, 0.15978115315859517, 0.15433569664335728, 0.04605235951838263, -0.05919287007214224, -0.127255654951002, -0.01676107914464777, 0.1111959605110123, 0.08634940018109455, 0.006435515665400185, 0.124113379953135, -0.0907959736168937, -0.21229127243982235, 0.3487198443903604, -0.12294333515966539, -0.21565847839596436, 0.18832692978985346, -0.20918666323842972, -0.14010542914630814, 0.09218928201548886, 0.11873877505984223, 0.14206704376428797, -0.12665357912906952, 0.13997978355690607, -0.050140750373860725, 0.07068862431078103, 0.11028185014596634, 0.025425912383453625, 0.09613545585766826, 0.08620310721208195, 0.09224049362206929, 0.12971645583227082, -0.07520431113529444, -0.13767948490567505, -0.3206194679604092, -0.17239776098479828, -0.17031210937880373, 0.10436721255986445, -0.1587419817216486, -0.12984325275184555, 0.31760394847706747, 0.10696815502811469, 0.2187848043109274, 0.10904511163958855, 0.1758135790883547, 0.16548418731575734, -0.06251507449901271, 0.08677427702289271, 0.17378931128411768, 0.18850776167962244, 0.13084522656802283, -0.16687821515982873, 0.05022808877248807, 0.14236560160000072] |
711.0859 | Liouville and Bogoliubov Equations with Fractional Derivatives | The Liouville equation, first Bogoliubov hierarchy and Vlasov equations with
derivatives of non-integer order are derived. Liouville equation with
fractional derivatives is obtained from the conservation of probability in a
fractional volume element. This equation is used to obtain Bogoliubov hierarchy
and fractional kinetic equations with fractional derivatives. Statistical
mechanics of fractional generalization of the Hamiltonian systems is discussed.
Fractional kinetic equation for the system of charged particles are considered.
| math-ph math.MP | the liouville equation first bogoliubov hierarchy and vlasov equations with derivatives of noninteger order are derived liouville equation with fractional derivatives is obtained from the conservation of probability in a fractional volume element this equation is used to obtain bogoliubov hierarchy and fractional kinetic equations with fractional derivatives statistical mechanics of fractional generalization of the hamiltonian systems is discussed fractional kinetic equation for the system of charged particles are considered | [['the', 'liouville', 'equation', 'first', 'bogoliubov', 'hierarchy', 'and', 'vlasov', 'equations', 'with', 'derivatives', 'of', 'noninteger', 'order', 'are', 'derived', 'liouville', 'equation', 'with', 'fractional', 'derivatives', 'is', 'obtained', 'from', 'the', 'conservation', 'of', 'probability', 'in', 'a', 'fractional', 'volume', 'element', 'this', 'equation', 'is', 'used', 'to', 'obtain', 'bogoliubov', 'hierarchy', 'and', 'fractional', 'kinetic', 'equations', 'with', 'fractional', 'derivatives', 'statistical', 'mechanics', 'of', 'fractional', 'generalization', 'of', 'the', 'hamiltonian', 'systems', 'is', 'discussed', 'fractional', 'kinetic', 'equation', 'for', 'the', 'system', 'of', 'charged', 'particles', 'are', 'considered']] | [-0.145154416305013, 0.12579777905983583, -0.08527376233999218, 0.1102202981078465, -0.11453064914260591, -0.13018482270916656, -0.07045832968183927, 0.18243156945598976, -0.294122275537146, -0.3046757706707077, 0.061057761023818914, -0.3307458389949586, -0.09172784877674921, 0.1205982019925224, -0.011921351865333106, 0.16673148396824086, -0.006752708777120071, 0.013164270652591117, -0.12298779081154082, -0.19516455650861775, 0.3396073031970965, -0.05236788909616215, 0.18347319114421096, -0.033848412541140405, 0.21213575745932758, -0.0991857353697664, -0.05615616931713053, -0.025358548634020345, -0.20093984437574233, 0.0974378762899765, 0.20153624737369163, -0.046084470827398555, 0.2595128613391093, -0.44173948293817894, -0.2573224643644478, 0.046556738072208, 0.13068902010896377, 0.10095112414232323, -0.0010996109939047267, -0.34470221562577147, 0.008512393671220966, -0.16478335825460297, -0.23200573341122696, -0.09191717536055616, 0.05884435341826507, 0.11402117454979037, -0.2347416558435985, 0.2501088447769039, 0.02592875598264592, -0.031314802527984804, -0.1297848546345319, -0.17463560941728895, -0.07470436455415828, -0.014274048492578524, 0.02116477329483522, -0.0412487845535257, 0.02444390705121415, -0.1269400426752067, -0.12698705638093608, 0.42885976992547514, -0.10669944779448477, -0.3838556718081236, 0.07165342051136707, -0.2005933233736349, -0.1071027291140386, 0.15236207241458552, 0.08963696417132659, 0.1340673851514501, -0.21649144742903964, 0.13802459382152718, 0.005012170777523092, 0.1413300202627267, 0.06342864566083466, 0.03117289673537016, 0.09333490773237177, 0.1392999831320984, 0.0890632726252079, 0.10350257200105781, 0.01290263084561697, -0.2433088403594281, -0.3813306914908545, -0.2616393490162279, -0.21422093638351986, 0.09630829707852431, -0.10678664893535565, -0.16188844849488565, 0.31104521788656714, 0.1278196109325758, 0.014070577254252774, 0.07490194088313729, 0.2093039802142552, 0.3957405233888754, -0.029867917631885836, 0.0021103385603055357, 0.14250511319509573, 0.2586487761698663, 0.18232564058687006, -0.2689666469664579, -0.06605166595296136, 0.23738655274667378] |
711.086 | Inclusive Measure of |V_ub| with the Analytic Coupling Model | By analyzing B -> X_u l nu_l spectra with a model based on soft-gluon
resummation and an analytic time-like QCD coupling, we obtain |V_ub| = (3.76
+-0.13 +- 0.22)*10^(-3), where the first and the second error refers to
experimental and theoretical errors, respectively. The V_ub value is obtained
from the available measured semileptonic branching fractions in limited regions
of the phase-space. The distributions in the lepton energy E_l, the hadron
invariant mass m_X, the light-cone momentum P_+ = E_X - p_X, together with the
double distributions in (m_X,q^2) and (E_l,s_h^max), are used to select the
phase-space regions. The q^2 is the dilepton squared momentum and s_h^max is
the maximal m_X^2 at fixed q^2 and E_l. The V_ub value obtained is in complete
agreement with the value coming from exclusive B decays and from an over-all
fit to the Standard Model parameters. We show that the slight disagreement (up
to +2 sigma) with respect to previous inclusive measurements is not related to
different choices for the b (and c) masses but to a different modelling of the
threshold (Sudakov) region.
| hep-ph hep-ex | by analyzing b x_u l nu_l spectra with a model based on softgluon resummation and an analytic timelike qcd coupling we obtain v_ub 376 013 022103 where the first and the second error refers to experimental and theoretical errors respectively the v_ub value is obtained from the available measured semileptonic branching fractions in limited regions of the phasespace the distributions in the lepton energy e_l the hadron invariant mass m_x the lightcone momentum p_ e_x p_x together with the double distributions in m_xq2 and e_ls_hmax are used to select the phasespace regions the q2 is the dilepton squared momentum and s_hmax is the maximal m_x2 at fixed q2 and e_l the v_ub value obtained is in complete agreement with the value coming from exclusive b decays and from an overall fit to the standard model parameters we show that the slight disagreement up to 2 sigma with respect to previous inclusive measurements is not related to different choices for the b and c masses but to a different modelling of the threshold sudakov region | [['by', 'analyzing', 'b', 'x_u', 'l', 'nu_l', 'spectra', 'with', 'a', 'model', 'based', 'on', 'softgluon', 'resummation', 'and', 'an', 'analytic', 'timelike', 'qcd', 'coupling', 'we', 'obtain', 'v_ub', '376', '013', '022103', 'where', 'the', 'first', 'and', 'the', 'second', 'error', 'refers', 'to', 'experimental', 'and', 'theoretical', 'errors', 'respectively', 'the', 'v_ub', 'value', 'is', 'obtained', 'from', 'the', 'available', 'measured', 'semileptonic', 'branching', 'fractions', 'in', 'limited', 'regions', 'of', 'the', 'phasespace', 'the', 'distributions', 'in', 'the', 'lepton', 'energy', 'e_l', 'the', 'hadron', 'invariant', 'mass', 'm_x', 'the', 'lightcone', 'momentum', 'p_', 'e_x', 'p_x', 'together', 'with', 'the', 'double', 'distributions', 'in', 'm_xq2', 'and', 'e_ls_hmax', 'are', 'used', 'to', 'select', 'the', 'phasespace', 'regions', 'the', 'q2', 'is', 'the', 'dilepton', 'squared', 'momentum', 'and', 's_hmax', 'is', 'the', 'maximal', 'm_x2', 'at', 'fixed', 'q2', 'and', 'e_l', 'the', 'v_ub', 'value', 'obtained', 'is', 'in', 'complete', 'agreement', 'with', 'the', 'value', 'coming', 'from', 'exclusive', 'b', 'decays', 'and', 'from', 'an', 'overall', 'fit', 'to', 'the', 'standard', 'model', 'parameters', 'we', 'show', 'that', 'the', 'slight', 'disagreement', 'up', 'to', '2', 'sigma', 'with', 'respect', 'to', 'previous', 'inclusive', 'measurements', 'is', 'not', 'related', 'to', 'different', 'choices', 'for', 'the', 'b', 'and', 'c', 'masses', 'but', 'to', 'a', 'different', 'modelling', 'of', 'the', 'threshold', 'sudakov', 'region']] | [-0.06038906644690749, 0.16640698564615325, -0.06389696946999396, 0.08413558409818889, -0.03129741736164872, -0.10420431563227672, 0.07739754099118365, 0.3384421489838707, -0.2160231716582301, -0.25656470893752864, -0.002794053293873518, -0.3460680773122269, 0.049825917504597125, 0.1517485184349904, -0.00169495253143587, 0.11220883815522083, 0.06303390998349727, 0.03223814571014883, -0.10408096117163568, -0.17369604487059234, 0.30250122453282147, 0.04282411238538068, 0.20977078394539522, 0.07391309558974894, 0.03926627759478594, -0.003871749230110419, -0.07881648692558384, -0.044295891999588374, -0.20464884697981975, 0.07177177292692383, 0.20562267386387184, 0.07808185765541524, 0.13462095896302237, -0.278571664219537, -0.06948437616201826, 0.10827074200459565, 0.13243738139505712, 0.05268216373879539, 0.014365526099351633, -0.2782987425027535, 0.10947451562952926, -0.19043451869636993, -0.09365762329840085, -0.06058983170844026, 0.0344696434688542, -0.048792830292592966, -0.3850731666319682, 0.1243533878451028, -0.04386439233234054, 0.021504123308505232, -0.010077285279427268, -0.2555102640163829, -0.058443186083013375, 0.07738515198208958, 0.10350016625026208, 0.1279684885225275, 0.13029798954774283, -0.14701181081564804, -0.1196827914985169, 0.396045936859752, -0.04824894492389166, -0.1880782612392472, 0.10286903890988065, -0.23976775136509398, -0.11093215718974321, 0.15938815004219525, 0.1629351145298185, 0.07819960391753468, -0.15857611664935772, 0.1355788126527958, -0.03625021529471099, 0.17810322352472627, 0.060113681248819446, 0.019029525799936498, 0.1486465982964796, 0.11055272332479774, -0.011607833860213296, 0.027770110702125782, -0.12734786915995877, -0.07244656108624754, -0.4060407786470789, -0.07609119424759819, -0.11263747547878421, 0.07310278341999585, -0.10915888529148345, -0.07495828798280386, 0.3548454016076717, 0.09721091864576116, 0.33191295876031557, 0.06698922850926847, 0.30221101991309407, 0.12294599142304094, 0.06557602438788414, 0.08491423601633188, 0.27839315969126616, 0.17860749993631234, 0.0982877745062718, -0.2639671184276762, 0.022572637184343318, 0.05138974652042863] |
711.0861 | Confinement controlled dissociation of a molecular Bose-Einstein
condensate | We study the collective two-channel dissociation dynamics of a molecular
Bose-Einstein condensate into bosonic fragments under tight harmonic
confinement. Bose-stimulated dissociation in either channel can only take place
provided that the respective trap size $l_i$ for the fragments is large with
respect to the healing length $\zeta_i$ of the atom-molecule resonance. Thus,
even when both channels are equally coupled, differences in mass or in
dynamical polarizability enable the control of the reaction outcome by
variation of the trap frequency. In particular, if $l_1>\zeta_1$ and
$l_2<\zeta_2$, only the first channel will be amplified. This behavior
demonstrate a unique feature of 'superchemistry' wherein a chemical reaction
may be controlled by the manipulation of the reaction vessel.
| cond-mat.other | we study the collective twochannel dissociation dynamics of a molecular boseeinstein condensate into bosonic fragments under tight harmonic confinement bosestimulated dissociation in either channel can only take place provided that the respective trap size l_i for the fragments is large with respect to the healing length zeta_i of the atommolecule resonance thus even when both channels are equally coupled differences in mass or in dynamical polarizability enable the control of the reaction outcome by variation of the trap frequency in particular if l_1zeta_1 and l_2zeta_2 only the first channel will be amplified this behavior demonstrate a unique feature of superchemistry wherein a chemical reaction may be controlled by the manipulation of the reaction vessel | [['we', 'study', 'the', 'collective', 'twochannel', 'dissociation', 'dynamics', 'of', 'a', 'molecular', 'boseeinstein', 'condensate', 'into', 'bosonic', 'fragments', 'under', 'tight', 'harmonic', 'confinement', 'bosestimulated', 'dissociation', 'in', 'either', 'channel', 'can', 'only', 'take', 'place', 'provided', 'that', 'the', 'respective', 'trap', 'size', 'l_i', 'for', 'the', 'fragments', 'is', 'large', 'with', 'respect', 'to', 'the', 'healing', 'length', 'zeta_i', 'of', 'the', 'atommolecule', 'resonance', 'thus', 'even', 'when', 'both', 'channels', 'are', 'equally', 'coupled', 'differences', 'in', 'mass', 'or', 'in', 'dynamical', 'polarizability', 'enable', 'the', 'control', 'of', 'the', 'reaction', 'outcome', 'by', 'variation', 'of', 'the', 'trap', 'frequency', 'in', 'particular', 'if', 'l_1zeta_1', 'and', 'l_2zeta_2', 'only', 'the', 'first', 'channel', 'will', 'be', 'amplified', 'this', 'behavior', 'demonstrate', 'a', 'unique', 'feature', 'of', 'superchemistry', 'wherein', 'a', 'chemical', 'reaction', 'may', 'be', 'controlled', 'by', 'the', 'manipulation', 'of', 'the', 'reaction', 'vessel']] | [-0.13490624723301545, 0.23235825097674992, -0.07212176673016762, 0.02502945773219606, 0.01405660306346846, -0.15633935933651588, 0.03751158379941239, 0.3612280653890323, -0.2722882931833869, -0.21864486176799564, 0.02905828398306275, -0.2410296389417773, -0.0618262915790232, 0.14209494295295094, 0.023062067496514804, 0.020816793094749923, 0.06800325537889122, 0.06385700684879814, 0.021164431081463892, -0.18633251797474987, 0.30482775770203285, 0.053054648829070294, 0.23635532763190903, 0.1104087623623871, 0.044682044094336126, 0.01730693048831109, 0.07182681261192637, -0.024717669950814935, -0.12272940360268983, 0.06577037602897969, 0.23544115705105165, 0.045180343249854676, 0.23425522664780016, -0.4585872131928399, -0.21291491306210691, 0.10702721040427417, 0.19672568446352473, 0.16299257255977373, -0.03773422426384714, -0.2764045991746054, 0.019216651038207987, -0.1479681293083657, -0.10325765600931402, -0.06757810131462107, 0.04513442364462593, 0.057089984127496544, -0.3011937367599793, 0.07102308387926838, 0.06844941462754053, 0.047626133072651455, -0.09393072025724561, -0.07948032476276427, -0.037573972480426134, 0.11591184878567662, -0.00010304286580969085, 0.0029119128581065147, 0.20633355035186485, -0.14367914732507858, -0.056146829835818826, 0.40881729652886994, -0.07726140031779839, -0.20316621666220394, 0.16441854842212722, -0.1796795487076648, -0.06288705044216267, 0.18581269889532984, 0.19360963465343858, 0.08879719207247903, -0.175804885710104, 0.04259148864694326, 0.00933184503272977, 0.2011770994511542, 0.11804243692129783, 0.061752024505220285, 0.22005430827974468, 0.204598225237852, 0.031097502980448374, 0.16177408803497684, -0.0852478613221162, -0.14227356253032414, -0.2712152554477389, -0.13538022197548066, -0.16200373660739478, 0.04640032717672823, -0.045336544861768475, -0.0976449066714325, 0.3567952171622499, 0.08905468843898291, 0.23051561468473827, -0.005626856481555749, 0.29108067649901165, 0.11760950437537185, 0.08794613409082631, -0.0054433694033808, 0.267967988149607, 0.13870909287036304, 0.044412364882232436, -0.3295896356329657, 0.06147244455594871, -0.0014759790622167759] |
711.0862 | Deep Extragalactic VLBI-Optical Survey (DEVOS) II. Efficient VLBI
detection of SDSS quasars | Context: The Deep Extragalactic VLBI-Optical Survey (DEVOS) aims at
constructing a large sample of compact radio sources up to two orders of
magnitude fainter than those studied in other Very Long Baseline Interferometry
(VLBI) surveys. Optical identification of the objects is ensured by selecting
them from the Sloan Digital Sky Survey (SDSS) list. Aims: While continuing to
build up the DEVOS data base, we investigated how the VLBI detection rate could
be enhanced by refining the initial selection criteria introduced in the first
paper of this series. Methods: We observed 26 sources in two adjacent, slightly
overlapping 2 deg radius fields with the European VLBI Network (EVN) at 5 GHz
frequency on 2 March 2007.The phase-reference calibrator quasars were
J1616+3621 and J1623+3909. The objects selected were unresolved both in the
Faint Images of the Radio Sky at Twenty-centimeters (FIRST) survey catalogue
and the SDSS Data Release 4. Results: We present images of milli-arcsecond
(mas) scale radio structures and accurate coordinates of 24 extragalactic
sources. Most of them have never been imaged with VLBI. Twenty-two compact
radio sources (85% of our initial sample) are considered as VLBI detections of
the corresponding optical quasars in SDSS. We found an efficient way to
identify quasars as potential VLBI targets with mas-scale compact radio
stucture at >1 mJy level, based only on the FIRST and SDSS catalogue data by
applying simple selection criteria.
| astro-ph | context the deep extragalactic vlbioptical survey devos aims at constructing a large sample of compact radio sources up to two orders of magnitude fainter than those studied in other very long baseline interferometry vlbi surveys optical identification of the objects is ensured by selecting them from the sloan digital sky survey sdss list aims while continuing to build up the devos data base we investigated how the vlbi detection rate could be enhanced by refining the initial selection criteria introduced in the first paper of this series methods we observed 26 sources in two adjacent slightly overlapping 2 deg radius fields with the european vlbi network evn at 5 ghz frequency on 2 march 2007the phasereference calibrator quasars were j16163621 and j16233909 the objects selected were unresolved both in the faint images of the radio sky at twentycentimeters first survey catalogue and the sdss data release 4 results we present images of milliarcsecond mas scale radio structures and accurate coordinates of 24 extragalactic sources most of them have never been imaged with vlbi twentytwo compact radio sources 85 of our initial sample are considered as vlbi detections of the corresponding optical quasars in sdss we found an efficient way to identify quasars as potential vlbi targets with masscale compact radio stucture at 1 mjy level based only on the first and sdss catalogue data by applying simple selection criteria | [['context', 'the', 'deep', 'extragalactic', 'vlbioptical', 'survey', 'devos', 'aims', 'at', 'constructing', 'a', 'large', 'sample', 'of', 'compact', 'radio', 'sources', 'up', 'to', 'two', 'orders', 'of', 'magnitude', 'fainter', 'than', 'those', 'studied', 'in', 'other', 'very', 'long', 'baseline', 'interferometry', 'vlbi', 'surveys', 'optical', 'identification', 'of', 'the', 'objects', 'is', 'ensured', 'by', 'selecting', 'them', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'list', 'aims', 'while', 'continuing', 'to', 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711.0863 | On properness and related properties of quasilinear systems on unbounded
domains | The purpose of this paper is to provide tools for analyzing the compactness
of sequences in Sobolev spaces, in particular if the sequence gets mapped onto
a compact set by some nonlinear operator. Here, our focus lies on a very
general class of nonlinear operators arising in quasilinear systems of partial
differential equations of second order, in divergence form. Our approach, based
on a suitable decomposition lemma, admits the discussion of problems with some
inherent loss of compactness, for example due to a domain with infinite measure
or a lower order term with critical growth. As an application, we obtain a
characterization of properness which is considerably easier to verify than the
definition. The methods presented can also be used to check Palais--Smale
conditions for variational problems.
| math.AP | the purpose of this paper is to provide tools for analyzing the compactness of sequences in sobolev spaces in particular if the sequence gets mapped onto a compact set by some nonlinear operator here our focus lies on a very general class of nonlinear operators arising in quasilinear systems of partial differential equations of second order in divergence form our approach based on a suitable decomposition lemma admits the discussion of problems with some inherent loss of compactness for example due to a domain with infinite measure or a lower order term with critical growth as an application we obtain a characterization of properness which is considerably easier to verify than the definition the methods presented can also be used to check palaissmale conditions for variational problems | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'provide', 'tools', 'for', 'analyzing', 'the', 'compactness', 'of', 'sequences', 'in', 'sobolev', 'spaces', 'in', 'particular', 'if', 'the', 'sequence', 'gets', 'mapped', 'onto', 'a', 'compact', 'set', 'by', 'some', 'nonlinear', 'operator', 'here', 'our', 'focus', 'lies', 'on', 'a', 'very', 'general', 'class', 'of', 'nonlinear', 'operators', 'arising', 'in', 'quasilinear', 'systems', 'of', 'partial', 'differential', 'equations', 'of', 'second', 'order', 'in', 'divergence', 'form', 'our', 'approach', 'based', 'on', 'a', 'suitable', 'decomposition', 'lemma', 'admits', 'the', 'discussion', 'of', 'problems', 'with', 'some', 'inherent', 'loss', 'of', 'compactness', 'for', 'example', 'due', 'to', 'a', 'domain', 'with', 'infinite', 'measure', 'or', 'a', 'lower', 'order', 'term', 'with', 'critical', 'growth', 'as', 'an', 'application', 'we', 'obtain', 'a', 'characterization', 'of', 'properness', 'which', 'is', 'considerably', 'easier', 'to', 'verify', 'than', 'the', 'definition', 'the', 'methods', 'presented', 'can', 'also', 'be', 'used', 'to', 'check', 'palaissmale', 'conditions', 'for', 'variational', 'problems']] | [-0.09487681984021439, 0.03127001422949183, -0.08998397731141547, 0.10151538314888121, -0.11821418378766127, -0.09385152172487904, 0.015171153641371863, 0.3128703908928795, -0.28296148244614205, -0.26077523429357397, 0.18678088864040246, -0.24382896911110877, -0.15225702997363047, 0.24206131662784774, -0.10340951816325523, 0.05984468379435606, 0.07641256386304171, 0.048570425138033294, -0.1116060400638348, -0.22459287459294744, 0.42366690541375573, -0.016271617780549554, 0.22941601028167238, 0.0654446521231274, 0.1066275756534805, -0.008917921104383155, -0.013159665040759824, 0.02640560323988476, -0.1484587074396765, 0.18732004095690222, 0.2525795194005051, 0.10153741867640825, 0.33390218476925504, -0.39335157091575346, -0.20541875400235804, 0.12134108097681146, 0.11047017022116681, 0.09628534647287786, -0.06031805821639434, -0.2687410303147686, 0.12736453374480075, -0.12276142919674428, -0.16269163445635573, -0.10641200617175754, -0.010082106498312059, 0.035842269269005196, -0.30561372018822536, 0.05055779608962947, 0.12416734668154886, 0.03549872598300072, -0.07570958087279454, -0.06495968316494685, 0.007302987140852694, 0.07197059654102726, 0.018811445687824172, 0.046775290286021794, 0.0511437047962246, -0.10168933911124377, -0.09690984647251724, 0.3992826217917476, -0.0775969535352774, -0.2751221152125146, 0.17710107895838992, -0.12136023120741969, -0.14446032112904303, 0.08845293299683671, 0.18526335870187113, 0.17454363986990493, -0.14701190331994785, 0.09461286328146308, -0.01983638182575778, 0.17075674131321977, 0.07407410120899517, 0.057701780129403725, 0.1038374865966607, 0.17556216105943415, 0.1489803952524277, 0.19270470901117404, -0.005227892571605566, -0.0835507966547757, -0.32159477331506925, -0.15849340121870434, -0.14897124930908243, 0.06681736343811581, -0.09433572741493942, -0.19505658978229667, 0.3630777404031269, 0.1320096152563264, 0.18651229693686341, 0.07875566818755061, 0.25028728551458657, 0.1823172061980242, 0.047094091655701165, 0.02603782875478033, 0.16825058008039986, 0.1783318845940182, 0.08685534029436393, -0.1632487249276949, 0.04595379179754243, 0.1459287715723782] |
711.0864 | On the Road to Understanding Type Ia Progenitors: Precision Simulations
of Double Degenerate Mergers | We review the current state of the art in double degenerate merger
simulations to better understand the role this phenomenon plays in type Ia
progenitors. Because the fate of a merged system may well depend on the exact
evolution of the matter temperature (as well as mixing of the merged system),
precision simulations are required to determine the true fate of these systems.
Unfortunately, if we compare the results of current simulations, we find
many-order of magnitude differences in quantities like mass-transfer rates in
the merger process. We discuss these differences and outline an approach using
verification and validation that should allow us to achieve a level of
precision sufficient to determine the true fate (thermonuclear vs. collapse) of
double degenerate mergers. Understanding the fate of lower-mass systems (e.g. R
Coronae Borealis stars) may be key in our final testing phase.
| astro-ph | we review the current state of the art in double degenerate merger simulations to better understand the role this phenomenon plays in type ia progenitors because the fate of a merged system may well depend on the exact evolution of the matter temperature as well as mixing of the merged system precision simulations are required to determine the true fate of these systems unfortunately if we compare the results of current simulations we find manyorder of magnitude differences in quantities like masstransfer rates in the merger process we discuss these differences and outline an approach using verification and validation that should allow us to achieve a level of precision sufficient to determine the true fate thermonuclear vs collapse of double degenerate mergers understanding the fate of lowermass systems eg r coronae borealis stars may be key in our final testing phase | [['we', 'review', 'the', 'current', 'state', 'of', 'the', 'art', 'in', 'double', 'degenerate', 'merger', 'simulations', 'to', 'better', 'understand', 'the', 'role', 'this', 'phenomenon', 'plays', 'in', 'type', 'ia', 'progenitors', 'because', 'the', 'fate', 'of', 'a', 'merged', 'system', 'may', 'well', 'depend', 'on', 'the', 'exact', 'evolution', 'of', 'the', 'matter', 'temperature', 'as', 'well', 'as', 'mixing', 'of', 'the', 'merged', 'system', 'precision', 'simulations', 'are', 'required', 'to', 'determine', 'the', 'true', 'fate', 'of', 'these', 'systems', 'unfortunately', 'if', 'we', 'compare', 'the', 'results', 'of', 'current', 'simulations', 'we', 'find', 'manyorder', 'of', 'magnitude', 'differences', 'in', 'quantities', 'like', 'masstransfer', 'rates', 'in', 'the', 'merger', 'process', 'we', 'discuss', 'these', 'differences', 'and', 'outline', 'an', 'approach', 'using', 'verification', 'and', 'validation', 'that', 'should', 'allow', 'us', 'to', 'achieve', 'a', 'level', 'of', 'precision', 'sufficient', 'to', 'determine', 'the', 'true', 'fate', 'thermonuclear', 'vs', 'collapse', 'of', 'double', 'degenerate', 'mergers', 'understanding', 'the', 'fate', 'of', 'lowermass', 'systems', 'eg', 'r', 'coronae', 'borealis', 'stars', 'may', 'be', 'key', 'in', 'our', 'final', 'testing', 'phase']] | [-0.10490390406921506, 0.0921888373402388, -0.06706560585049114, 0.1262678949574625, -0.058023065368511845, -0.06685768764333001, 0.06433355101450745, 0.3352441305294633, -0.21775404534169607, -0.3214601906548653, 0.11295914940170146, -0.24509056884728905, -0.09134358383349277, 0.21376209194505855, -0.04766064354085497, 0.009879158377381307, 0.1277923357074282, 0.010385185568260827, -0.10948281240666152, -0.28547980384901167, 0.3298745629277879, 0.0912818749595317, 0.23157683980119015, 0.0004546640839959894, 0.025020505957633887, -0.04063340336683073, -0.047322545119095595, -0.04460874291003815, -0.17381578650451307, 0.016980601391073182, 0.2328575759776868, 0.16474376585268016, 0.22885947691808853, -0.4297217454694744, -0.18191071058058048, 0.1062261527578812, 0.21860783241853435, 0.1119244720287887, -0.06401516886877029, -0.22119093413098848, 0.07941460918435561, -0.21367261798087775, -0.17325934540214283, -0.06247671508629407, -0.0087964618956903, 0.061488212690788455, -0.23937926046949412, 0.12796262154505322, 0.060758155401396965, -0.013620581810495682, -0.07976375085168651, -0.11204037985132476, -0.03817422970563972, 0.17055494698413115, 0.03017998104229004, -0.00128935764639339, 0.15732813645819468, -0.17276079492211074, -0.09626275756496137, 0.4185426243447832, -0.04964863867665242, -0.11022342923128495, 0.24088688156168375, -0.19602748061796385, -0.16004265293512226, 0.07216691021541399, 0.1978603133607456, 0.09810676832483815, -0.1177923065809799, -0.01622575983222175, 0.0389391226544311, 0.16687977193256043, 0.0317761329651278, 0.06328716664076117, 0.33014540201319115, 0.2139640996565244, -0.032391165828032954, 0.07419126839127525, -0.1087491973053797, -0.09930306932489787, -0.28190824951327936, -0.17475373676030098, -0.10215618395512657, 0.0866087601520121, -0.06445743612525152, -0.15585851063619235, 0.3434213135857135, 0.19945492577639276, 0.19035850295663945, -0.018297703437773243, 0.2639029295183718, 0.07347397257482434, 0.030300764087587594, 0.04461275212233886, 0.3086596809194556, 0.16521835360825726, 0.06828650050031554, -0.2678663087143962, 0.13105839854106308, 0.028273518773702173] |
711.0865 | Decomposition into weight * level + jump and application to a new
classification of primes | In this paper we introduce an Euclidean decomposition of elements a_n of an
increasing sequence of natural numbers into weight * level + jump which we use
to classify the numbers a_n either by weight or by level. We then show that
this decomposition can be seen as a generalization of the sieve of Eratosthenes
(which is the particular case of the whole sequence of natural numbers). We
apply this decomposition to prime numbers in order to obtain a new
classification of primes, we analyze a few properties of this classification
and we make a series of conjectures based on numerical data. Finally we show
how composite numbers and 2-almost primes behave under the decomposition.
| math.NT | in this paper we introduce an euclidean decomposition of elements a_n of an increasing sequence of natural numbers into weight level jump which we use to classify the numbers a_n either by weight or by level we then show that this decomposition can be seen as a generalization of the sieve of eratosthenes which is the particular case of the whole sequence of natural numbers we apply this decomposition to prime numbers in order to obtain a new classification of primes we analyze a few properties of this classification and we make a series of conjectures based on numerical data finally we show how composite numbers and 2almost primes behave under the decomposition | [['in', 'this', 'paper', 'we', 'introduce', 'an', 'euclidean', 'decomposition', 'of', 'elements', 'a_n', 'of', 'an', 'increasing', 'sequence', 'of', 'natural', 'numbers', 'into', 'weight', 'level', 'jump', 'which', 'we', 'use', 'to', 'classify', 'the', 'numbers', 'a_n', 'either', 'by', 'weight', 'or', 'by', 'level', 'we', 'then', 'show', 'that', 'this', 'decomposition', 'can', 'be', 'seen', 'as', 'a', 'generalization', 'of', 'the', 'sieve', 'of', 'eratosthenes', 'which', 'is', 'the', 'particular', 'case', 'of', 'the', 'whole', 'sequence', 'of', 'natural', 'numbers', 'we', 'apply', 'this', 'decomposition', 'to', 'prime', 'numbers', 'in', 'order', 'to', 'obtain', 'a', 'new', 'classification', 'of', 'primes', 'we', 'analyze', 'a', 'few', 'properties', 'of', 'this', 'classification', 'and', 'we', 'make', 'a', 'series', 'of', 'conjectures', 'based', 'on', 'numerical', 'data', 'finally', 'we', 'show', 'how', 'composite', 'numbers', 'and', '2almost', 'primes', 'behave', 'under', 'the', 'decomposition']] | [-0.13837187464011058, 0.0981357780728691, -0.13718402838392132, 0.054153362372519234, -0.05963373639151058, -0.05616411087061979, 0.051886711973260134, 0.3369137141194227, -0.34433830908573837, -0.26786488596663144, 0.10439656206934128, -0.22702951866935575, -0.17623981939983116, 0.1887234958379109, -0.11384160809457895, -0.009277447398784942, 0.06309865120452195, 0.085411811923295, -0.05841388721307492, -0.2996171163044771, 0.3630697444921969, -0.025875877819757545, 0.23442982395171327, 0.009197175929804983, 0.07077439197450382, 0.002392006341565763, 0.013011994903528057, 0.013080652382851174, -0.1439568810394797, 0.17052733158874037, 0.24392628614518758, 0.14457821072516056, 0.28837982937693596, -0.4004161763540675, -0.11232691859430839, 0.16147832037567827, 0.17308190694030898, 0.06635934784101834, -0.044397033801491875, -0.18860137298398247, 0.15413726104703623, -0.17855015391096538, -0.12929932859858118, -0.13190532270489277, 0.004122057117818468, 0.05915318953648078, -0.2976204522893624, 0.029488235087735595, 0.07880102330406683, 0.08454565609976818, -0.032464799318726346, -0.15535874134630162, 0.04527311200127665, 0.10833208101999377, 0.043739109396918024, -0.034371562155305645, 0.026766830737974527, -0.12131208692784462, -0.12841359697760338, 0.3569563258340401, -0.05972640545146573, -0.2115335424010337, 0.1532875329639301, -0.1537476385885899, -0.20066870490204444, 0.06506441347713096, 0.17763380023477748, 0.14511617975293006, -0.053831779599948004, 0.036800820123923494, -0.11410621850363976, 0.16187581893023664, 0.12202137555366596, -0.009415167822725081, 0.15127017393510425, 0.1398502915615496, 0.04144795723589121, 0.20005023580732698, -0.09128465734430449, -0.005356778217627939, -0.319546563804265, -0.2184655463685636, -0.1937964079629597, 0.11147472571449733, -0.06150976378461387, -0.19767291874385776, 0.4127277930769905, 0.14852864243733013, 0.266224108249015, 0.10103204513619761, 0.24996588797827737, 0.12661054561355573, 0.06087804208221161, 0.012595655878725569, 0.09478812010194365, 0.14146164174611986, 0.0012108266675037093, -0.1290848772002866, -0.03336540427609075, 0.12350535422843774] |
711.0866 | Gauge Thresholds and Kaehler Metrics for Rigid Intersecting D-brane
Models | The gauge threshold corrections for globally consistent Z2 x Z2' orientifolds
with rigid intersecting D6-branes are computed. The one-loop corrections to the
holomorphic gauge kinetic function are extracted and the Kaehler metrics for
the charged chiral multiplets are determined up to two constants.
| hep-th | the gauge threshold corrections for globally consistent z2 x z2 orientifolds with rigid intersecting d6branes are computed the oneloop corrections to the holomorphic gauge kinetic function are extracted and the kaehler metrics for the charged chiral multiplets are determined up to two constants | [['the', 'gauge', 'threshold', 'corrections', 'for', 'globally', 'consistent', 'z2', 'x', 'z2', 'orientifolds', 'with', 'rigid', 'intersecting', 'd6branes', 'are', 'computed', 'the', 'oneloop', 'corrections', 'to', 'the', 'holomorphic', 'gauge', 'kinetic', 'function', 'are', 'extracted', 'and', 'the', 'kaehler', 'metrics', 'for', 'the', 'charged', 'chiral', 'multiplets', 'are', 'determined', 'up', 'to', 'two', 'constants']] | [-0.18516647321345328, 0.21817387612319963, 0.020387179521453934, 0.1745890771190441, -0.06061818528660508, -0.19982233938089636, -0.06026212229978207, 0.39238334689722504, -0.13509024562704008, -0.2290701738796955, 0.030514317001540992, -0.36242976386186687, -0.054879117410543354, 0.062201296564104946, 0.006143905482319898, 0.08352879973312537, -0.0614433026504378, 0.001889703091407238, -0.12950523360090893, -0.3219799635022186, 0.3851213771416697, -0.04747273032228614, 0.2202582717710716, 0.08661782758873562, 0.11268159768782383, -0.10396909613032328, -0.05507423616079397, -0.03394544445151507, -0.1742018028920473, 0.0874170421211179, 0.20931402723803078, -0.07256214827472388, -0.006536432390296182, -0.39002877694749555, -0.1471978512221709, 0.11864549800926863, 0.14208964935265656, 0.1422976606070649, 0.006611649835005749, -0.2861254524634501, 0.1145605179372915, -0.10066669473294602, -0.1862237576319468, -0.13948183959393307, -0.00433295598621805, -0.05995563712230949, -0.288366437218217, 0.06496007739414655, -0.09697214031028886, 0.03965474927234788, -0.050500198213253605, -0.13953455775802912, -0.23434385830579801, 0.10593300633305727, 0.16288431079754995, 0.14751243555571797, 0.2258568803324949, -0.20609300298112726, -0.14732307116609328, 0.40706340881974196, -0.08129830149457205, -0.26299213441725017, 0.046351814144399275, -0.12043589851710686, -0.20839857218007363, 0.20302883355856635, 0.09651417317691931, 0.18905130574523016, -0.14505235844313405, 0.22311808350685508, 0.03209229952893978, 0.0681597750747663, 0.09445695723082091, 0.012205945252072673, 0.26835610794423276, 0.009255144463548826, 0.014474523513642855, 0.026580040180665808, 0.03372518026248314, -0.09892417908494555, -0.4773184098303318, -0.04148157822444688, -0.06822307482307646, 0.16666897554437868, -0.17176742107725193, -0.1800410044920999, 0.34956703209426515, -0.0013130934540788795, 0.19168239533034867, 0.1696150213653265, 0.17200234110012305, 0.08950180179157922, 0.12924332328162394, 0.01888113847912051, 0.3085610878675483, 0.20594863410021158, -0.01362615883307055, -0.2328533688776715, -0.19913015499451134, 0.22732313124592915] |
711.0867 | A Comment on the Path Integral Approach to Cosmological Perturbation
Theory | It is pointed out that the exact renormalization group approach to
cosmological perturbation theory, proposed in Matarrese and Pietroni, JCAP 0706
(2007) 026, arXiv:astro-ph/0703563 and arXiv:astro-ph/0702653, constitutes a
misnomer. Rather, having instructively cast this classical problem into path
integral form, the evolution equation then derived comes about as a special
case of considering how the generating functional responds to variations of the
primordial power spectrum.
| astro-ph hep-ph hep-th | it is pointed out that the exact renormalization group approach to cosmological perturbation theory proposed in matarrese and pietroni jcap 0706 2007 026 arxivastroph0703563 and arxivastroph0702653 constitutes a misnomer rather having instructively cast this classical problem into path integral form the evolution equation then derived comes about as a special case of considering how the generating functional responds to variations of the primordial power spectrum | [['it', 'is', 'pointed', 'out', 'that', 'the', 'exact', 'renormalization', 'group', 'approach', 'to', 'cosmological', 'perturbation', 'theory', 'proposed', 'in', 'matarrese', 'and', 'pietroni', 'jcap', '0706', '2007', '026', 'arxivastroph0703563', 'and', 'arxivastroph0702653', 'constitutes', 'a', 'misnomer', 'rather', 'having', 'instructively', 'cast', 'this', 'classical', 'problem', 'into', 'path', 'integral', 'form', 'the', 'evolution', 'equation', 'then', 'derived', 'comes', 'about', 'as', 'a', 'special', 'case', 'of', 'considering', 'how', 'the', 'generating', 'functional', 'responds', 'to', 'variations', 'of', 'the', 'primordial', 'power', 'spectrum']] | [-0.13393219657212732, 0.03008814966897406, -0.16379534294237458, 0.09375124883704952, -0.10277804339097606, -0.11037553375261644, 0.03056659272110592, 0.282606422694193, -0.2575112745934536, -0.29529150970102774, 0.06489214038712875, -0.2775487116323636, -0.16586294968331616, 0.17234317624261455, -0.05457448996307831, 0.002749649549110068, 0.030333961301024944, 0.019119325566977735, -0.0603324748568296, -0.23232710859664377, 0.2922974240167865, 0.0951874198185073, 0.22033696685222878, -0.006594129276299287, 0.10537650916607134, 0.03020067589120969, -0.052414732981502773, 0.03501419187892997, -0.12928158812105217, 0.0864090925315395, 0.2369441405929152, 0.11754366318650898, 0.26700354147229405, -0.36388638159555814, -0.24170605154589764, 0.0667180886440393, 0.10283449977185459, 0.06723264279583144, -0.028387769356384755, -0.2729649074220409, 0.08713403649698381, -0.2047589952052231, -0.1449315994682293, -0.041977770693067996, 0.051353164349815676, -0.08313610421730176, -0.2307497611387618, 0.10846257834724846, 0.02445653806780539, -0.01896463796525957, -0.07455632912497671, -0.10523840105013242, -0.027269364264424122, 0.08064222825129354, 0.06867244082830093, 0.061346259322904405, 0.12705135123715514, -0.08504662369673568, -0.03249572012721309, 0.4222894096747041, -0.0854780523786469, -0.15607043432574425, 0.06385480446947946, -0.09359059519770127, -0.1742995411438483, 0.0931608439515537, 0.07226900644702024, 0.1158613888325081, -0.1438585810976783, 0.14350107239581467, -0.06450276180273956, 0.16699332563531777, 0.09098490935173772, -0.016912272576952263, 0.17155500109243255, 0.09645910421016789, 0.035559868129591145, 0.11357399742192929, -0.022304319732245944, -0.14253769222173898, -0.2915492445481793, -0.09776164730086863, -0.13629274920279544, 0.15570777404816852, -0.06883416522898533, -0.16434602366597761, 0.35413781117041787, 0.12386589112140918, 0.1465445308103448, 0.05718283003403081, 0.2538815981279763, 0.1644743158212227, 0.01827856451494708, 0.051396322798811726, 0.21355186529930623, 0.19640758506480663, 0.08240750310055557, -0.21483156136754486, -0.012203263488435557, 0.103962720194388] |
711.0868 | Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in
three dimensions | We perform simulations of an effective theory of SU(2) Wilson lines in three
dimensions. We include a non-perturbative "fuzzy-bag" contribution which is
added to the one-loop perturbative potential for the Wilson line. We confirm
that, at moderately weak coupling, this leads to eigenvalue repulsion in a
finite region above the deconfining phase transition which shrinks in the
extreme weak-coupling limit. A non-trivial Z(N) symmetric vacuum arises in the
confined phase.
| hep-lat hep-ph | we perform simulations of an effective theory of su2 wilson lines in three dimensions we include a nonperturbative fuzzybag contribution which is added to the oneloop perturbative potential for the wilson line we confirm that at moderately weak coupling this leads to eigenvalue repulsion in a finite region above the deconfining phase transition which shrinks in the extreme weakcoupling limit a nontrivial zn symmetric vacuum arises in the confined phase | [['we', 'perform', 'simulations', 'of', 'an', 'effective', 'theory', 'of', 'su2', 'wilson', 'lines', 'in', 'three', 'dimensions', 'we', 'include', 'a', 'nonperturbative', 'fuzzybag', 'contribution', 'which', 'is', 'added', 'to', 'the', 'oneloop', 'perturbative', 'potential', 'for', 'the', 'wilson', 'line', 'we', 'confirm', 'that', 'at', 'moderately', 'weak', 'coupling', 'this', 'leads', 'to', 'eigenvalue', 'repulsion', 'in', 'a', 'finite', 'region', 'above', 'the', 'deconfining', 'phase', 'transition', 'which', 'shrinks', 'in', 'the', 'extreme', 'weakcoupling', 'limit', 'a', 'nontrivial', 'zn', 'symmetric', 'vacuum', 'arises', 'in', 'the', 'confined', 'phase']] | [-0.16569702057977734, 0.2077277743654491, -0.061499098126871, 0.07441690253714721, -0.0017794905149418375, -0.1286463276753067, 0.09119172101381465, 0.35834712877977587, -0.15499504277671594, -0.1988960607247292, 0.04205268584326773, -0.31934583089921786, -0.1016835232089827, 0.049479293043090816, 0.019361994704619672, 0.008233476139982973, -0.018157707014377567, 0.03544990461913572, -0.12984119125884835, -0.1952233387535249, 0.3307690946317777, 0.0023615692566702332, 0.25163143543877464, 0.16172572422394718, 0.020889039812744526, -0.05113314048461346, 0.0452873887244504, 0.03285653305078006, -0.10011261892287766, 0.04220439735260131, 0.2337243748707292, -0.06606863641544529, 0.19682341209356335, -0.37079043764675007, -0.19720899018094593, 0.07071616173640866, 0.1966143346567085, 0.15778546020105158, -0.031245082049914028, -0.2698142985826817, 0.01694996391787477, -0.1768757287223918, -0.22126325588349416, -0.09415181396880011, -0.03453768486413511, -0.1306816542764073, -0.316890681044374, 0.09565187451907137, 0.016515549164319385, 0.04311244042617255, 9.036413731350415e-05, -0.0768266928287736, -0.01187321850085172, 0.11801931414705957, 0.06834057409086845, 0.061109410166956375, 0.10169851340596443, -0.17527992649601123, -0.0584004410960968, 0.39524265832227207, -0.12292378360702508, -0.11980015203100292, 0.15965786566147985, -0.19287425585671503, -0.16618830464321419, 0.19701686663197968, 0.12624267228555097, 0.14402369585266148, -0.07548919386243906, 0.19142217983734672, -0.018569917053632114, 0.14612483255315464, 0.05339499191799457, -0.020754937403092998, 0.24347983797391257, 0.09790572351978524, 0.03897046009618519, 0.1795011388207111, -0.0806454885751009, -0.18779994118148866, -0.391881018202158, -0.08918196584799908, -0.15011728930867452, 0.06897828671608822, -0.15180055731637537, -0.2443912050254859, 0.3550885092683028, 0.1884153941511244, 0.1971500822801845, 0.008303205121605508, 0.2396118810494849, 0.16503493575483857, 0.051589440429529204, 0.027519865791596796, 0.31554613972379675, 0.16535037854497414, 0.1109808379838216, -0.3054911768320354, -0.11258026792843273, 0.15238317398124954] |
711.0869 | Massive gravity from descent equations | Both massless and massive gravity are derived from descent equations
(Wess-Zumino consistency conditions). The massive theory is a continuous
deformation of the massless one.
| hep-th | both massless and massive gravity are derived from descent equations wesszumino consistency conditions the massive theory is a continuous deformation of the massless one | [['both', 'massless', 'and', 'massive', 'gravity', 'are', 'derived', 'from', 'descent', 'equations', 'wesszumino', 'consistency', 'conditions', 'the', 'massive', 'theory', 'is', 'a', 'continuous', 'deformation', 'of', 'the', 'massless', 'one']] | [-0.19500474878198779, 0.18435752236594757, -0.09935429453616962, 0.1362279508272574, -0.08762655429503259, -0.19530030737708634, -0.130506037719897, 0.2451417608341823, -0.1703853168680022, -0.24938790664600674, 0.08836862654425204, -0.2671931119790922, -0.19829343926782408, 0.09103953869392474, -0.05793010276587059, 0.04469274166816225, 0.06080013658114088, 0.09740709707451363, -0.11463408824056387, -0.3045358129311353, 0.3117044381991339, -0.02580455403464536, 0.28245178716800484, -0.08699368336237967, 0.14193065066744262, -0.012741226664123436, 0.02396607872409125, -0.006525127993275722, -0.0663237552701806, 0.06066723295953125, 0.12841952920037633, 0.08666920786102612, 0.2068879174379011, -0.4338292151223868, -0.2748532872258996, 0.012463500335191688, 0.13487072981661186, 0.1676879657121996, -0.0543377676124995, -0.3083811666195591, 0.06583308746727805, -0.1481132183689624, -0.18874703394249082, -0.029875942195455234, -0.08465177356265485, -0.0827078062381285, -0.32702678767964244, 0.18281169591743188, -0.049683723715133965, 0.00916131593597432, -0.16083535798437273, -0.04315962071996182, -0.1679837036256989, 0.07239017649165665, 0.162093599656752, 0.026940853296158213, 0.13030636384307095, -0.21667963735914478, -0.04919474145087103, 0.43547899136319757, -0.09911324976322551, -0.2641910812817514, 0.2389556954440195, -0.1348764814514046, -0.19887723321638381, 0.11763092021768291, 0.09246204451968272, 0.19878914583629617, -0.25071192598746467, 0.2355528491680161, -0.02055801881942898, 0.036046665317068495, 0.09276822358757879, 0.021098100890715916, 0.30619404449438054, 0.08092615462373942, 0.007865464237208167, 0.09087776004647215, 0.021450832408542436, -0.15196695116659006, -0.42321523899833363, -0.1366994377070417, -0.08440950800043841, 0.06258348596747965, -0.21561556291938663, -0.17025204647021988, 0.2727355948494126, 0.11314858372012775, 0.042165507562458515, 0.13358264602720737, 0.28281713742762804, 0.18158634686066458, 0.08077233129006345, 0.06746070022927597, 0.2581097937654704, 0.2900917511821414, 0.061178356127735846, -0.26437622849092196, -0.1824352741629506, 0.1663976548394809] |
711.087 | A Monte Carlo Algorithm for Sampling Rare Events: Application to a
Search for the Griffiths Singularity | We develop a recently proposed importance-sampling Monte Carlo algorithm for
sampling rare events and quenched variables in random disordered systems. We
apply it to a two dimensional bond-diluted Ising model and study the Griffiths
singularity which is considered to be due to the existence of rare large
clusters. It is found that the distribution of the inverse susceptibility has
an exponential tail down to the origin which is considered the consequence of
the Griffiths singularity.
| cond-mat.dis-nn cond-mat.stat-mech | we develop a recently proposed importancesampling monte carlo algorithm for sampling rare events and quenched variables in random disordered systems we apply it to a two dimensional bonddiluted ising model and study the griffiths singularity which is considered to be due to the existence of rare large clusters it is found that the distribution of the inverse susceptibility has an exponential tail down to the origin which is considered the consequence of the griffiths singularity | [['we', 'develop', 'a', 'recently', 'proposed', 'importancesampling', 'monte', 'carlo', 'algorithm', 'for', 'sampling', 'rare', 'events', 'and', 'quenched', 'variables', 'in', 'random', 'disordered', 'systems', 'we', 'apply', 'it', 'to', 'a', 'two', 'dimensional', 'bonddiluted', 'ising', 'model', 'and', 'study', 'the', 'griffiths', 'singularity', 'which', 'is', 'considered', 'to', 'be', 'due', 'to', 'the', 'existence', 'of', 'rare', 'large', 'clusters', 'it', 'is', 'found', 'that', 'the', 'distribution', 'of', 'the', 'inverse', 'susceptibility', 'has', 'an', 'exponential', 'tail', 'down', 'to', 'the', 'origin', 'which', 'is', 'considered', 'the', 'consequence', 'of', 'the', 'griffiths', 'singularity']] | [-0.10213025535146396, 0.13584967120414754, -0.14465871610523512, 0.15427253564043591, -0.04608949284690122, -0.1392406796788176, 0.03913969062268734, 0.3497137295951446, -0.25645085466404755, -0.22861178811018665, 0.1296310444471116, -0.27619378694643576, -0.16175193687280018, 0.12669314467348158, 0.006832964320977529, 0.060597876557148996, 0.005764813336233298, -0.01453839464733998, -0.04292683307081461, -0.26742794962599875, 0.2869284048428138, 0.06577523683508237, 0.26444391312698523, 0.016779476397981247, 0.07840784850840767, 0.034660821675012506, 0.03750145131101211, 0.032883942251404126, -0.14599241568755436, 0.02240067086260145, 0.21318117546538512, 0.05114213363577922, 0.24627560029737652, -0.3385969869047403, -0.21607130698859692, 0.1619173720230659, 0.15880338239173095, 0.12929276536839704, -0.059944140519946815, -0.30241283915936945, 0.10985020838677884, -0.17428560609929264, -0.17892137477795284, -0.09330666008094947, 0.024223570426305133, -0.0014896627484510343, -0.28686351091911394, 0.11697740885118643, 0.08390658683453997, 0.03785840664679806, 0.017635053563863037, -0.06697028054545323, 0.017827954273670912, 0.0785495016972224, 0.09749566082376987, 0.05216320801215867, 0.08085503061612447, -0.08559996510671529, -0.14539218965762604, 0.3558420414105058, -0.007861108914949, -0.14291176232198874, 0.24126790740837653, -0.1798155926913023, -0.16259283043444156, 0.16833089870711168, 0.16157889377325774, 0.12633726234858234, -0.17590459818020462, 0.08531860836936782, -0.01978004040196538, 0.11841835842778285, -0.029347248173629246, -0.03757861986756325, 0.1656089531381925, 0.17600120089948176, 0.037480918429791926, 0.20761855882126837, -0.12144439430286487, -0.18133454871053498, -0.2529981422331184, -0.17434777287145456, -0.25395141093681256, 0.0951440221692125, -0.09467643788045582, -0.25293755304068327, 0.3485292798777421, 0.18453946544711167, 0.2207740044593811, 0.023303531172374884, 0.21359990566968917, 0.15108208832641443, 0.07224461751058697, 0.06654338716713634, 0.18312276805440586, 0.17967692737778027, 0.06374317671482761, -0.21050932053476573, 0.08366778800264, 0.06948020999630292] |
711.0871 | Sheaves on affine Schubert varieties, modular representations and
Lusztig's conjecture | We relate a certain category of sheaves of k-vector spaces on a complex
affine Schubert variety to modules over the k-Lie algebra (for ch k>0) or to
modules over the small quantum group (for ch k=0) associated to the Langlands
dual root datum. As an application we give a new proof of Lusztig's conjecture
on quantum characters and on modular characters for almost all characteristics.
Moreover, we relate the geometric and representation theoretic sides to sheaves
on the underlying moment graph, which allows us to extend the known instances
of Lusztig's modular conjecture in two directions: We give an upper bound on
the exceptional characteristics and verify its multiplicity one case for all
relevant primes.
| math.RT math.AG | we relate a certain category of sheaves of kvector spaces on a complex affine schubert variety to modules over the klie algebra for ch k0 or to modules over the small quantum group for ch k0 associated to the langlands dual root datum as an application we give a new proof of lusztigs conjecture on quantum characters and on modular characters for almost all characteristics moreover we relate the geometric and representation theoretic sides to sheaves on the underlying moment graph which allows us to extend the known instances of lusztigs modular conjecture in two directions we give an upper bound on the exceptional characteristics and verify its multiplicity one case for all relevant primes | [['we', 'relate', 'a', 'certain', 'category', 'of', 'sheaves', 'of', 'kvector', 'spaces', 'on', 'a', 'complex', 'affine', 'schubert', 'variety', 'to', 'modules', 'over', 'the', 'klie', 'algebra', 'for', 'ch', 'k0', 'or', 'to', 'modules', 'over', 'the', 'small', 'quantum', 'group', 'for', 'ch', 'k0', 'associated', 'to', 'the', 'langlands', 'dual', 'root', 'datum', 'as', 'an', 'application', 'we', 'give', 'a', 'new', 'proof', 'of', 'lusztigs', 'conjecture', 'on', 'quantum', 'characters', 'and', 'on', 'modular', 'characters', 'for', 'almost', 'all', 'characteristics', 'moreover', 'we', 'relate', 'the', 'geometric', 'and', 'representation', 'theoretic', 'sides', 'to', 'sheaves', 'on', 'the', 'underlying', 'moment', 'graph', 'which', 'allows', 'us', 'to', 'extend', 'the', 'known', 'instances', 'of', 'lusztigs', 'modular', 'conjecture', 'in', 'two', 'directions', 'we', 'give', 'an', 'upper', 'bound', 'on', 'the', 'exceptional', 'characteristics', 'and', 'verify', 'its', 'multiplicity', 'one', 'case', 'for', 'all', 'relevant', 'primes']] | [-0.18112387070027383, 0.018190052804699087, -0.11694029178875295, 0.07775601286279119, -0.1417832041159272, -0.14795133111917455, 0.008474224476325933, 0.3128810422090085, -0.3474373772578395, -0.20705514697600966, 0.0910746214592465, -0.20783053579671895, -0.13555293817923444, 0.25498063537373167, -0.15889735820338777, -0.015129296465918584, 0.05277796936140436, 0.1442553096288896, -0.06632101649175519, -0.31491524661896225, 0.41663454206579403, -0.029802568866263913, 0.2627523947689358, 0.062082128215621674, 0.11286394631530604, 0.051454686369422985, 0.020625990973380595, -0.0702223442737823, -0.16328250555544283, 0.17449063087773065, 0.31553262396027215, 0.0744656742874371, 0.1510762578655925, -0.3849957634532905, -0.0634427672535505, 0.16223633743761837, 0.12087295300975118, 0.056640124850420526, 0.03028640465547695, -0.27226479281671345, 0.11741810438992537, -0.1677758280835722, -0.13772746063768865, -0.10191744497936706, 0.06735452386429129, -0.015082954445286937, -0.23535289489056754, -0.03942726803538592, 0.06333972619765478, 0.1300467291338187, -0.1359079050623974, -0.15881933129352072, -0.003348866433067166, 0.09726396844236423, -0.03117704658728579, 0.005155469594604295, 0.08103270387762915, -0.12734706929844358, -0.16287712971477405, 0.3540589902549982, -0.007819508518213811, -0.21523790147317493, 0.17049083112860502, -0.1534367942534711, -0.19643584860731725, 0.09962138026223882, 0.10999980059492848, 0.11552713144084682, 0.02565938141196966, 0.1429685984358556, -0.15270907584496815, 0.051254483300220706, 0.11596389004717703, 0.03891249286294307, 0.14431989202883255, 0.0543399589298212, 0.07854098758619765, 0.1320130047145421, -0.0168532524991821, -0.05908784463181687, -0.3653082437165405, -0.24471246025818602, -0.10676647782852144, 0.13404572271822912, -0.13269441345182714, -0.1848975667163082, 0.4522951320461605, 0.10504731173910524, 0.2110726143759878, 0.15297416429055613, 0.18328103620720945, 0.048975634756093116, 0.07338188252533259, 0.022792734732122524, 0.1054642327575256, 0.261987793672344, -0.03002622308735938, -0.13992675629484913, 0.006856475580159737, 0.2046030284229504] |
711.0872 | Half-metallic ferromagnets: From band structure to many-body effects | A review of new developments in theoretical and experimental electronic
structure investigations of half-metallic ferromagnets (HMF) is presented.
Being semiconductors for one spin projection and metals for another ones, these
substances are promising magnetic materials for applications in spintronics
(i.e., spin-dependent electronics). Classification of HMF by the peculiarities
of their electronic structure and chemical bonding is discussed. Effects of
electron-magnon interaction in HMF and their manifestations in magnetic,
spectral, thermodynamic, and transport properties are considered. Especial
attention is paid to appearance of non-quasiparticle states in the energy gap,
which provide an instructive example of essentially many-body features in the
electronic structure. State-of-art electronic calculations for correlated
$d$-systems is discussed, and results for specific HMF (Heusler alloys,
zinc-blende structure compounds, CrO$_{2},$ Fe$_{3}$O$_{4}$) are reviewed.
| cond-mat.mtrl-sci cond-mat.str-el | a review of new developments in theoretical and experimental electronic structure investigations of halfmetallic ferromagnets hmf is presented being semiconductors for one spin projection and metals for another ones these substances are promising magnetic materials for applications in spintronics ie spindependent electronics classification of hmf by the peculiarities of their electronic structure and chemical bonding is discussed effects of electronmagnon interaction in hmf and their manifestations in magnetic spectral thermodynamic and transport properties are considered especial attention is paid to appearance of nonquasiparticle states in the energy gap which provide an instructive example of essentially manybody features in the electronic structure stateofart electronic calculations for correlated dsystems is discussed and results for specific hmf heusler alloys zincblende structure compounds cro_2 fe_3o_4 are reviewed | [['a', 'review', 'of', 'new', 'developments', 'in', 'theoretical', 'and', 'experimental', 'electronic', 'structure', 'investigations', 'of', 'halfmetallic', 'ferromagnets', 'hmf', 'is', 'presented', 'being', 'semiconductors', 'for', 'one', 'spin', 'projection', 'and', 'metals', 'for', 'another', 'ones', 'these', 'substances', 'are', 'promising', 'magnetic', 'materials', 'for', 'applications', 'in', 'spintronics', 'ie', 'spindependent', 'electronics', 'classification', 'of', 'hmf', 'by', 'the', 'peculiarities', 'of', 'their', 'electronic', 'structure', 'and', 'chemical', 'bonding', 'is', 'discussed', 'effects', 'of', 'electronmagnon', 'interaction', 'in', 'hmf', 'and', 'their', 'manifestations', 'in', 'magnetic', 'spectral', 'thermodynamic', 'and', 'transport', 'properties', 'are', 'considered', 'especial', 'attention', 'is', 'paid', 'to', 'appearance', 'of', 'nonquasiparticle', 'states', 'in', 'the', 'energy', 'gap', 'which', 'provide', 'an', 'instructive', 'example', 'of', 'essentially', 'manybody', 'features', 'in', 'the', 'electronic', 'structure', 'stateofart', 'electronic', 'calculations', 'for', 'correlated', 'dsystems', 'is', 'discussed', 'and', 'results', 'for', 'specific', 'hmf', 'heusler', 'alloys', 'zincblende', 'structure', 'compounds', 'cro_2', 'fe_3o_4', 'are', 'reviewed']] | [-0.1463179948212976, 0.15727671798613002, -0.004068740421021697, 0.11938770875653451, -0.07889170645446074, -0.14811321566660018, 0.0195829948147026, 0.4465527296005214, -0.23581469126167845, -0.2783912681882865, 0.0025072115622308167, -0.3364456899990862, -0.17545583618224644, 0.21188511147324118, 0.06789561576061104, 0.026553426876847374, 0.010433705825144883, -0.048217407910326936, -0.13804762776879992, -0.20570060322977235, 0.27173084182451007, 0.048821156256694774, 0.30158370614173957, 0.11481789874340423, -0.02309619626469269, -0.01740371131483221, 0.10577166290356411, 0.011975921255099343, -0.151991798137849, 0.10488159066526201, 0.3290529551569441, -0.10420774532657127, 0.1859004804482836, -0.47328820690268375, -0.22633087314802725, -0.05523314862130362, 0.07047566527035087, 0.12835146509946826, -0.15161022436270705, -0.28201361397876723, 0.050498848140943936, -0.14665016374521178, -0.11041232718719689, -0.17679528888223356, 0.030043226120932423, 0.035670317491882896, -0.18140599096277882, 0.08109511623204854, 0.06292883358269807, 0.1104521815980318, -0.15461488919844088, -0.23065860887997036, -0.055036562185765046, 0.061740699365399165, 0.04418031383519534, -0.010633189395283823, 0.186852280458924, -0.16066123938691787, -0.15061332158301574, 0.4429713506404249, 0.035900517420263074, -0.11781705954096845, 0.15579886205845558, -0.1306734073174293, -0.14888108856823357, 0.0866876435198928, 0.10314894308045995, 0.05344816741483958, -0.17972347894530805, 0.11278279943746652, 0.05040999610343429, 0.09384784162078877, -0.06616932941127385, 0.15082867046986081, 0.25441918906099237, 0.250612450366626, -0.0177636823357373, 0.10812096226937519, -0.060261651395522364, -0.10321494884460737, -0.18591866436124335, -0.20194257666799623, -0.24054771254113952, 0.06032838689575552, -0.035710087190353554, -0.21506755075276235, 0.46187216020570915, 0.14783532385961018, 0.11616156463221204, -0.13761026441924976, 0.22690777654652713, 0.05586471266426207, 0.042336658246387715, -0.02431705391767328, 0.26711913540608206, 0.24330243409695257, 0.15531739030132588, -0.23946054522367957, 0.13427719200930757, 0.00565435289267878] |
711.0873 | A conformal approach to numerical calculations of asymptotically flat
spacetimes | This thesis is concerned with the development and application of conformal
techniques to numerical calculations of asymptotically flat spacetimes. The
conformal compactification technique enables us to calculate spatially
unbounded domains, thereby avoiding the introduction of an artificial timelike
outer boundary. We construct in spherical symmetry an explicit scri-fixing
gauge, i.e. a conformal and a coordinate gauge in which the spatial coordinate
location of null infinity is independent of time so that no resolution loss in
the physical part of the conformal extension appears. Going beyond spherical
symmetry, we develop a method to include null infinity in the computational
domain. With this method, hyperboloidal initial value problems for the Einstein
equations can be solved in a scri-fixing general wave gauge. To study spatial
infinity, we discuss the conformal Gauss gauge and the reduced general
conformal field equations from a numerical point of view. This leads us to the
first numerical calculation of the entire Schwarzschild-Kruskal solution
including spatial, null and timelike infinity and the domain close to the
singularity. After developing a three dimensional, frame based evolution code
with smooth inner and outer boundaries we calculate a radiative axisymmetric
vacuum solution in a neighbourhood of spatial infinity represented as a
cylinder including a piece of null infinity. In this context, a certain
component of the rescaled Weyl tensor representing the radiation field is
calculated unambiguously with respect to an adapted tetrad at null infinity.
| gr-qc | this thesis is concerned with the development and application of conformal techniques to numerical calculations of asymptotically flat spacetimes the conformal compactification technique enables us to calculate spatially unbounded domains thereby avoiding the introduction of an artificial timelike outer boundary we construct in spherical symmetry an explicit scrifixing gauge ie a conformal and a coordinate gauge in which the spatial coordinate location of null infinity is independent of time so that no resolution loss in the physical part of the conformal extension appears going beyond spherical symmetry we develop a method to include null infinity in the computational domain with this method hyperboloidal initial value problems for the einstein equations can be solved in a scrifixing general wave gauge to study spatial infinity we discuss the conformal gauss gauge and the reduced general conformal field equations from a numerical point of view this leads us to the first numerical calculation of the entire schwarzschildkruskal solution including spatial null and timelike infinity and the domain close to the singularity after developing a three dimensional frame based evolution code with smooth inner and outer boundaries we calculate a radiative axisymmetric vacuum solution in a neighbourhood of spatial infinity represented as a cylinder including a piece of null infinity in this context a certain component of the rescaled weyl tensor representing the radiation field is calculated unambiguously with respect to an adapted tetrad at null infinity | [['this', 'thesis', 'is', 'concerned', 'with', 'the', 'development', 'and', 'application', 'of', 'conformal', 'techniques', 'to', 'numerical', 'calculations', 'of', 'asymptotically', 'flat', 'spacetimes', 'the', 'conformal', 'compactification', 'technique', 'enables', 'us', 'to', 'calculate', 'spatially', 'unbounded', 'domains', 'thereby', 'avoiding', 'the', 'introduction', 'of', 'an', 'artificial', 'timelike', 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0.11123288154418184] |
711.0874 | Infection spreading in a population with evolving contacts | We study the spreading of an infection within an SIS epidemiological model on
a network. Susceptible agents are given the opportunity of breaking their links
with infected agents. Broken links are either permanently removed or
reconnected with the rest of the population. Thus, the network coevolves with
the population as the infection progresses. We show that a moderate
reconnection frequency is enough to completely suppress the infection. A
partial, rather weak isolation of infected agents suffices to eliminate the
endemic state.
| q-bio.PE cond-mat.stat-mech physics.soc-ph | we study the spreading of an infection within an sis epidemiological model on a network susceptible agents are given the opportunity of breaking their links with infected agents broken links are either permanently removed or reconnected with the rest of the population thus the network coevolves with the population as the infection progresses we show that a moderate reconnection frequency is enough to completely suppress the infection a partial rather weak isolation of infected agents suffices to eliminate the endemic state | [['we', 'study', 'the', 'spreading', 'of', 'an', 'infection', 'within', 'an', 'sis', 'epidemiological', 'model', 'on', 'a', 'network', 'susceptible', 'agents', 'are', 'given', 'the', 'opportunity', 'of', 'breaking', 'their', 'links', 'with', 'infected', 'agents', 'broken', 'links', 'are', 'either', 'permanently', 'removed', 'or', 'reconnected', 'with', 'the', 'rest', 'of', 'the', 'population', 'thus', 'the', 'network', 'coevolves', 'with', 'the', 'population', 'as', 'the', 'infection', 'progresses', 'we', 'show', 'that', 'a', 'moderate', 'reconnection', 'frequency', 'is', 'enough', 'to', 'completely', 'suppress', 'the', 'infection', 'a', 'partial', 'rather', 'weak', 'isolation', 'of', 'infected', 'agents', 'suffices', 'to', 'eliminate', 'the', 'endemic', 'state']] | [-0.17380926311361017, 0.17583906960157666, -0.010221002548703072, 0.0847729732538286, -0.07063086048044541, -0.21994513784316772, 0.1407681568813177, 0.359958116563014, -0.25259135622117257, -0.20858765760850576, 0.11373642390524899, -0.31298034238042655, -0.15125850384859482, 0.0254909314594611, -0.06487432665214586, -0.05888466609434949, 0.06641466393606898, 0.07732349217806103, 0.0990126909210956, -0.2866833765105701, 0.3182183267695277, 0.06195122436160383, 0.2334601220625947, 0.0008427193560810001, 0.08958491688898915, -0.002230298446698321, 0.005686432146179823, 0.025531834195494468, -0.13233207007570058, 0.02515775670101981, 0.24587674146909036, 0.13943488874622148, 0.33888259806014875, -0.5245669473330548, -0.2057044018479639, 0.1587176303189524, 0.1842243337377124, 0.21105382175265272, 0.043635435722894786, -0.3158772203519388, 0.06245498462683625, -0.2132090990529338, -0.17571899753615813, 0.02518848591932544, -0.04101466557677881, 0.040528414589870304, -0.27678479807290396, 0.05125543618873681, 0.01682886779365808, 0.0851405300286219, -0.03649712990923428, -0.01380651709796102, -0.1430794435587746, 0.19844711500357975, 0.08361997918289063, 0.007218595935149624, 0.18361588478962212, -0.19331787827850125, -0.07193907477352539, 0.30522815386454266, -0.010302961976439864, -0.1645390744217568, 0.21878827564464307, -0.11670276630715823, -0.09716309245422851, 0.19813414500957285, 0.1873131145976116, 0.05648877862610935, -0.1657280430390304, -0.04464833690773374, -0.012740769986937076, 0.16453645901429687, 0.018935939771364683, -0.02597577234638142, 0.18125514709103255, 0.2049761536864587, 0.1363884060482644, 0.0925815326196176, -0.09473381637319646, -0.11064028019303984, -0.25754733927214496, -0.06903111864525227, -0.1455781145285769, 0.10593833653601231, -0.0902812352830136, -0.17261878708032546, 0.4028378326997713, 0.14175314742519898, 0.19891833231129027, 0.11495265832607761, 0.2638703979103378, 0.05398923271180441, 0.0672525321967026, 0.1096009079389918, 0.20103712721417347, 0.10555601801671502, 0.0653560138652446, -0.2344868920059346, 0.22269356295604398, -0.03920506866236309] |
711.0875 | Complementarity in atomic (finite-level quantum) systems: an
information-theoretic approach | We develop an information theoretic interpretation of the number-phase
complementarity in atomic systems, where phase is treated as a continuous
positive operator valued measure (POVM). The relevant uncertainty principle is
obtained as an upper bound on a sum of knowledge of these two observables for
the case of two-level systems. A tighter bound characterizing the uncertainty
relation is obtained numerically in terms of a weighted knowledge sum involving
these variables. We point out that complementarity in these systems departs
from mutual unbiasededness in two signalificant ways: first, the maximum
knowledge of a POVM variable is less than log(dimension) bits; second,
surprisingly, for higher dimensional systems, the unbiasedness may not be
mutual but unidirectional in that phase remains unbiased with respect to number
states, but not vice versa. Finally, we study the effect of non-dissipative and
dissipative noise on these complementary variables for a single-qubit system.
| quant-ph | we develop an information theoretic interpretation of the numberphase complementarity in atomic systems where phase is treated as a continuous positive operator valued measure povm the relevant uncertainty principle is obtained as an upper bound on a sum of knowledge of these two observables for the case of twolevel systems a tighter bound characterizing the uncertainty relation is obtained numerically in terms of a weighted knowledge sum involving these variables we point out that complementarity in these systems departs from mutual unbiasededness in two signalificant ways first the maximum knowledge of a povm variable is less than logdimension bits second surprisingly for higher dimensional systems the unbiasedness may not be mutual but unidirectional in that phase remains unbiased with respect to number states but not vice versa finally we study the effect of nondissipative and dissipative noise on these complementary variables for a singlequbit system | [['we', 'develop', 'an', 'information', 'theoretic', 'interpretation', 'of', 'the', 'numberphase', 'complementarity', 'in', 'atomic', 'systems', 'where', 'phase', 'is', 'treated', 'as', 'a', 'continuous', 'positive', 'operator', 'valued', 'measure', 'povm', 'the', 'relevant', 'uncertainty', 'principle', 'is', 'obtained', 'as', 'an', 'upper', 'bound', 'on', 'a', 'sum', 'of', 'knowledge', 'of', 'these', 'two', 'observables', 'for', 'the', 'case', 'of', 'twolevel', 'systems', 'a', 'tighter', 'bound', 'characterizing', 'the', 'uncertainty', 'relation', 'is', 'obtained', 'numerically', 'in', 'terms', 'of', 'a', 'weighted', 'knowledge', 'sum', 'involving', 'these', 'variables', 'we', 'point', 'out', 'that', 'complementarity', 'in', 'these', 'systems', 'departs', 'from', 'mutual', 'unbiasededness', 'in', 'two', 'signalificant', 'ways', 'first', 'the', 'maximum', 'knowledge', 'of', 'a', 'povm', 'variable', 'is', 'less', 'than', 'logdimension', 'bits', 'second', 'surprisingly', 'for', 'higher', 'dimensional', 'systems', 'the', 'unbiasedness', 'may', 'not', 'be', 'mutual', 'but', 'unidirectional', 'in', 'that', 'phase', 'remains', 'unbiased', 'with', 'respect', 'to', 'number', 'states', 'but', 'not', 'vice', 'versa', 'finally', 'we', 'study', 'the', 'effect', 'of', 'nondissipative', 'and', 'dissipative', 'noise', 'on', 'these', 'complementary', 'variables', 'for', 'a', 'singlequbit', 'system']] | [-0.15763485901595525, 0.13809872264699177, -0.08007450662487724, 0.08234097781914129, -0.04820051238032609, -0.15283337180030493, 0.09370022802285745, 0.3384309781282406, -0.27010675936832396, -0.2696255447829149, 0.09590054172809354, -0.2895466460334793, -0.14053847769301542, 0.21302036723961504, -0.07853537432777262, 0.04469788022680392, 0.02733902835031368, 0.08808154032178696, -0.10590066805704904, -0.21407760052062885, 0.3410440515923563, 0.024599957106057817, 0.24052994771742484, 0.015583629975698784, 0.10906877665629637, 0.020783646988131527, -0.016951975032267436, 0.0412549598103153, -0.11847185591470637, 0.1155776184254726, 0.2501654032762097, 0.1492537037849846, 0.25607572376570653, -0.3795927183548461, -0.19644461929614485, 0.14202753910926028, 0.12967999918225653, 0.10813888858898844, 0.0020041399541914358, -0.26416994433056457, 0.00866650059265019, -0.15887829894199967, -0.07495433707314898, -0.10758725730997419, 0.01565982940488718, -0.02461066002741089, -0.2947939624091689, 0.11670470757829682, 0.10852265145800168, 0.04834431540167687, -0.051117405285534094, -0.1430818249125519, -0.005433694813662852, 0.10783162961294218, -0.022387134565063423, -0.00637234721995208, 0.09980643153990763, -0.1099052702273594, -0.14662067670847329, 0.3437014366139356, -0.05418729825913955, -0.2659434290655272, 0.1636620764899343, -0.15911772283791026, -0.12825150473345018, 0.06607149872915741, 0.1606072861574997, 0.12581356840936178, -0.18415519735500427, 0.019325781439375262, -0.0639731547546009, 0.20535382893511167, 0.05461025245907441, 0.13055029230743226, 0.218147758364966, 0.1163478508119432, 0.14255212082586605, 0.15669162485430438, -0.015714271679441904, -0.14291638251669495, -0.3309736258520837, -0.17101430940494255, -0.24047262860383367, 0.06253475285955856, -0.1069095880251245, -0.12412748839312666, 0.3165814992184685, 0.14175930351853488, 0.1813774960751737, 0.0533284487228998, 0.31714239884430256, 0.16864328743056983, 0.0007786807730387319, 0.02988474580957751, 0.2657090174263789, 0.17422620687489462, 0.04296979764935521, -0.18509376569815852, 0.08794153596497548, 0.060451738588826756] |
711.0876 | Bayesian nonparametric estimation of the spectral density of a long
memory Gaussian time series | Let $\mathbf {X}=\{X_t, t=1,2,... \}$ be a stationary Gaussian random
process, with mean $EX_t=\mu$ and covariance function
$\gamma(\tau)=E(X_t-\mu)(X_{t+\tau}-\mu)$. Let $f(\lambda)$ be the
corresponding spectral density; a stationary Gaussian process is said to be
long-range dependent, if the spectral density $f(\lambda)$ can be written as
the product of a slowly varying function $\tilde{f}(\lambda)$ and the quantity
$\lambda ^{-2d}$. In this paper we propose a novel Bayesian nonparametric
approach to the estimation of the spectral density of $\mathbf {X}$. We prove
that, under some specific assumptions on the prior distribution, our approach
assures posterior consistency both when $f(\cdot)$ and $d$ are the objects of
interest. The rate of convergence of the posterior sequence depends in a
significant way on the structure of the prior; we provide some general results
and also consider the fractionally exponential (FEXP) family of priors (see
below). Since it has not a well founded justification in the long memory
set-up, we avoid using the Whittle approximation to the likelihood function and
prefer to use the true Gaussian likelihood.
| math.ST stat.TH | let mathbf xx_t t12 be a stationary gaussian random process with mean ex_tmu and covariance function gammatauex_tmux_ttaumu let flambda be the corresponding spectral density a stationary gaussian process is said to be longrange dependent if the spectral density flambda can be written as the product of a slowly varying function tildeflambda and the quantity lambda 2d in this paper we propose a novel bayesian nonparametric approach to the estimation of the spectral density of mathbf x we prove that under some specific assumptions on the prior distribution our approach assures posterior consistency both when fcdot and d are the objects of interest the rate of convergence of the posterior sequence depends in a significant way on the structure of the prior we provide some general results and also consider the fractionally exponential fexp family of priors see below since it has not a well founded justification in the long memory setup we avoid using the whittle approximation to the likelihood function and prefer to use the true gaussian likelihood | [['let', 'mathbf', 'xx_t', 't12', 'be', 'a', 'stationary', 'gaussian', 'random', 'process', 'with', 'mean', 'ex_tmu', 'and', 'covariance', 'function', 'gammatauex_tmux_ttaumu', 'let', 'flambda', 'be', 'the', 'corresponding', 'spectral', 'density', 'a', 'stationary', 'gaussian', 'process', 'is', 'said', 'to', 'be', 'longrange', 'dependent', 'if', 'the', 'spectral', 'density', 'flambda', 'can', 'be', 'written', 'as', 'the', 'product', 'of', 'a', 'slowly', 'varying', 'function', 'tildeflambda', 'and', 'the', 'quantity', 'lambda', '2d', 'in', 'this', 'paper', 'we', 'propose', 'a', 'novel', 'bayesian', 'nonparametric', 'approach', 'to', 'the', 'estimation', 'of', 'the', 'spectral', 'density', 'of', 'mathbf', 'x', 'we', 'prove', 'that', 'under', 'some', 'specific', 'assumptions', 'on', 'the', 'prior', 'distribution', 'our', 'approach', 'assures', 'posterior', 'consistency', 'both', 'when', 'fcdot', 'and', 'd', 'are', 'the', 'objects', 'of', 'interest', 'the', 'rate', 'of', 'convergence', 'of', 'the', 'posterior', 'sequence', 'depends', 'in', 'a', 'significant', 'way', 'on', 'the', 'structure', 'of', 'the', 'prior', 'we', 'provide', 'some', 'general', 'results', 'and', 'also', 'consider', 'the', 'fractionally', 'exponential', 'fexp', 'family', 'of', 'priors', 'see', 'below', 'since', 'it', 'has', 'not', 'a', 'well', 'founded', 'justification', 'in', 'the', 'long', 'memory', 'setup', 'we', 'avoid', 'using', 'the', 'whittle', 'approximation', 'to', 'the', 'likelihood', 'function', 'and', 'prefer', 'to', 'use', 'the', 'true', 'gaussian', 'likelihood']] | [-0.05746807979913541, 0.07793452901168199, -0.13954047046612994, 0.0703195273044145, -0.07385830792418895, -0.12841265398941665, 0.04436119709932526, 0.39629290948610707, -0.28972974415666547, -0.25190575161096024, 0.09571488867079031, -0.2135172756276576, -0.1348036294185882, 0.12839987908114106, -0.09045514291017709, 0.07350763977373423, 0.013422231826684382, 0.06444205139663368, -0.09736098570002984, -0.24255184836528568, 0.3065767701580582, 0.03970608783953161, 0.28672207012795004, 0.006835627487751217, 0.09410564616008336, 0.03466724274337785, -0.010505477113772678, -0.014029689840074763, -0.17429815862680742, 0.08488929579462239, 0.19927906989349972, 0.1634221484264673, 0.3221559221028765, -0.3633560017087912, -0.2136166225165039, 0.170360505802512, 0.1601087277648544, 0.0381976981950273, 0.007187896711101015, -0.27056863544374166, 0.08777543532252537, -0.16635559942132894, -0.11536477682326572, -0.08419697528637676, 0.0068736250388873625, 0.07137493177805186, -0.3622934339383578, 0.11754367141532067, 0.08806666891309377, 0.0035096527279231205, -0.0284853363991715, -0.140461229982208, -0.007937607773388904, 0.0698733819353728, 0.06508310016908077, 0.06499992422507066, 0.10554270115709044, -0.08823645455729082, -0.04379977549128908, 0.32134292989580737, -0.12489203635199242, -0.2668564259803977, 0.11459213664126863, -0.17405099546289945, -0.1322764607548927, 0.1044093786054347, 0.16702674063910022, 0.1502790371382452, -0.13851507562319593, 0.14252788877410602, -0.05504924137038684, 0.15542147112224836, 0.041096487422670094, 0.02337943207288823, 0.1802826681011637, 0.13098682945521256, 0.08468735022245939, 0.12346801210436072, -0.10166754648280513, -0.06311881584003119, -0.3301941248173096, -0.1436738713913743, -0.23375820258284458, 0.08256690506972386, -0.1390519663392593, -0.21855443155572538, 0.3693475682030331, 0.13620651946047177, 0.23384146969653216, 0.1253736848179924, 0.2407233110370945, 0.17840710849815375, -0.0064027159683776634, 0.09874884553858694, 0.1391978800147407, 0.14902596390407802, 0.031932732682248735, -0.14409042925416796, 0.1284944881623364, 0.010409493753910962] |
711.0877 | Defects in correlated metals and superconductors | In materials with strong local Coulomb interactions, simple defects such as
atomic substitutions strongly affect both macroscopic and local properties of
the system. A nonmagnetic impurity, for instance, is seen to induce magnetism
nearby. Even without disorder, models of such correlated systems are generally
not soluble in 2 or 3 dimensions, and so few exact results are known for the
properties of such impurities. Nevertheless, some simple physical ideas have
emerged from experiments and approximate theories. Here, we first review what
we can learn about this problem from 1D antiferromagnetically correlated
systems. We then discuss experiments on the high Tc cuprate normal state which
probe the effect of impurities on local charge and spin degrees of freedom, and
compare with theories of single impurities in correlated hosts, as well as
phenomenological effective Kondo descriptions. Subsequently, we review theories
of impurities in d-wave superconductors including residual quasiparticle
interactions, and compare with experiments in the superconducting state. We
argue that existing data exhibit a remarkable similarity to impurity-induced
magnetism in the 1D case, implying the importance of electronic correlations
for the understanding of these phenomena, and suggesting that impurities may
provide excellent probes of the still poorly understood ground state of the
cuprates.
| cond-mat.str-el cond-mat.supr-con | in materials with strong local coulomb interactions simple defects such as atomic substitutions strongly affect both macroscopic and local properties of the system a nonmagnetic impurity for instance is seen to induce magnetism nearby even without disorder models of such correlated systems are generally not soluble in 2 or 3 dimensions and so few exact results are known for the properties of such impurities nevertheless some simple physical ideas have emerged from experiments and approximate theories here we first review what we can learn about this problem from 1d antiferromagnetically correlated systems we then discuss experiments on the high tc cuprate normal state which probe the effect of impurities on local charge and spin degrees of freedom and compare with theories of single impurities in correlated hosts as well as phenomenological effective kondo descriptions subsequently we review theories of impurities in dwave superconductors including residual quasiparticle interactions and compare with experiments in the superconducting state we argue that existing data exhibit a remarkable similarity to impurityinduced magnetism in the 1d case implying the importance of electronic correlations for the understanding of these phenomena and suggesting that impurities may provide excellent probes of the still poorly understood ground state of the cuprates | [['in', 'materials', 'with', 'strong', 'local', 'coulomb', 'interactions', 'simple', 'defects', 'such', 'as', 'atomic', 'substitutions', 'strongly', 'affect', 'both', 'macroscopic', 'and', 'local', 'properties', 'of', 'the', 'system', 'a', 'nonmagnetic', 'impurity', 'for', 'instance', 'is', 'seen', 'to', 'induce', 'magnetism', 'nearby', 'even', 'without', 'disorder', 'models', 'of', 'such', 'correlated', 'systems', 'are', 'generally', 'not', 'soluble', 'in', '2', 'or', '3', 'dimensions', 'and', 'so', 'few', 'exact', 'results', 'are', 'known', 'for', 'the', 'properties', 'of', 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711.0878 | Nonlinearizing linear equations to integrable systems including new
hierarchies with nonholonomic deformations | We propose a scheme for nonlinearizing linear equations to generate
integrable nonlinear systems of both the AKNS and the KN classes, based on the
simple idea of dimensional analysis and detecting the building blocks of the
Lax pair. Along with the well known equations we discover a novel integrable
hierarchy of higher order nonholonomic deformations for the AKNS family, e.g.
for the KdV, the mKdV, the NLS and the SG equation, showing thus a two-fold
universality of the recently found deformation for the KdV equation.
| nlin.SI cond-mat.stat-mech hep-th math-ph math.MP | we propose a scheme for nonlinearizing linear equations to generate integrable nonlinear systems of both the akns and the kn classes based on the simple idea of dimensional analysis and detecting the building blocks of the lax pair along with the well known equations we discover a novel integrable hierarchy of higher order nonholonomic deformations for the akns family eg for the kdv the mkdv the nls and the sg equation showing thus a twofold universality of the recently found deformation for the kdv equation | [['we', 'propose', 'a', 'scheme', 'for', 'nonlinearizing', 'linear', 'equations', 'to', 'generate', 'integrable', 'nonlinear', 'systems', 'of', 'both', 'the', 'akns', 'and', 'the', 'kn', 'classes', 'based', 'on', 'the', 'simple', 'idea', 'of', 'dimensional', 'analysis', 'and', 'detecting', 'the', 'building', 'blocks', 'of', 'the', 'lax', 'pair', 'along', 'with', 'the', 'well', 'known', 'equations', 'we', 'discover', 'a', 'novel', 'integrable', 'hierarchy', 'of', 'higher', 'order', 'nonholonomic', 'deformations', 'for', 'the', 'akns', 'family', 'eg', 'for', 'the', 'kdv', 'the', 'mkdv', 'the', 'nls', 'and', 'the', 'sg', 'equation', 'showing', 'thus', 'a', 'twofold', 'universality', 'of', 'the', 'recently', 'found', 'deformation', 'for', 'the', 'kdv', 'equation']] | [-0.14952944486313277, 0.04759394092529658, -0.022540194449469537, 0.08888232758701113, -0.11076936749131641, -0.1708467972098983, -0.06779520088873271, 0.24784442314523317, -0.3062369805716333, -0.23763584702031776, 0.10567590992321216, -0.2768102036567316, -0.22518108621062266, 0.17409936540449658, 0.002344184211410937, 0.11947397204736869, 0.04092306776770523, 0.0402315057414983, -0.13582844785525508, -0.23294168777231658, 0.3849130787310146, -0.04375425768306568, 0.25960724271966945, -0.020060135192969546, 0.20543525652915595, -0.01604156494916727, -6.627425595763184e-05, -0.058959898683020755, -0.13063735991489098, 0.11833106884677407, 0.24003036470995062, 0.03972806231052216, 0.18599876445452018, -0.3797790025848718, -0.22273915694538682, 0.09497638463757799, 0.1547191603297376, 0.1711784380549077, -0.05693491180898577, -0.34852495006773443, 0.05478674123462822, -0.15314403298543766, -0.22876380746518926, -0.08087191037096393, 0.02452608911941449, 0.08320653788299144, -0.23707989266230947, 0.10215453974281748, 0.14226688440040952, -0.03290931476900975, -0.11580367666846585, -0.08182922300156428, -0.08584954801647525, -9.551150946035272e-05, -0.002673902199603617, -0.04979130219934242, -0.027454969933300856, -0.12125121679344461, -0.10442559725128203, 0.42106952796720654, -0.04881536991230123, -0.26173355403478216, 0.16916227434107678, -0.053755874229994206, -0.18267523840768263, 0.08723431561763088, 0.17971476770582653, 0.12371731946145051, -0.15507910328562416, 0.09624798469303641, -0.04822651351735528, 0.14899944996328227, 0.07641555782451871, -0.008670979878626809, 0.1637957732337305, 0.18252857180223578, 0.06905797355630923, 0.12812963863169508, -0.029173762712161988, -0.15582282437909661, -0.29673133446790634, -0.16358923863264777, -0.10431256669662184, 0.05542730138820064, -0.09290789703265459, -0.17150373795690635, 0.44689070280249626, 0.10712585294095334, 0.17013187600172214, 0.12575771025149152, 0.19781099512640918, 0.20938828608597673, 0.085147378245546, 0.05368307472894057, 0.1876055204442569, 0.17708099507061498, 0.12425898864222247, -0.25741077868622686, -0.08667676749506167, 0.22524827256399607] |
711.0879 | Resolvent and scattering matrix at the maximum of the potential | We study the microlocal structure of the resolvent of the semi-classical
Schrodinger operator with short range potential at an energy which is a unique
non-degenerate global maximum of the potential. We prove that it is a
semi-classical Fourier integral operator quantizing the incoming and outgoing
Lagrangian submanifolds associated to the fixed hyperbolic point. We then
discuss two applications of this result to describing the structure of the
spectral function and the scattering matrix of the Schrodinger operator at the
critical energy.
| math.AP math-ph math.MP | we study the microlocal structure of the resolvent of the semiclassical schrodinger operator with short range potential at an energy which is a unique nondegenerate global maximum of the potential we prove that it is a semiclassical fourier integral operator quantizing the incoming and outgoing lagrangian submanifolds associated to the fixed hyperbolic point we then discuss two applications of this result to describing the structure of the spectral function and the scattering matrix of the schrodinger operator at the critical energy | [['we', 'study', 'the', 'microlocal', 'structure', 'of', 'the', 'resolvent', 'of', 'the', 'semiclassical', 'schrodinger', 'operator', 'with', 'short', 'range', 'potential', 'at', 'an', 'energy', 'which', 'is', 'a', 'unique', 'nondegenerate', 'global', 'maximum', 'of', 'the', 'potential', 'we', 'prove', 'that', 'it', 'is', 'a', 'semiclassical', 'fourier', 'integral', 'operator', 'quantizing', 'the', 'incoming', 'and', 'outgoing', 'lagrangian', 'submanifolds', 'associated', 'to', 'the', 'fixed', 'hyperbolic', 'point', 'we', 'then', 'discuss', 'two', 'applications', 'of', 'this', 'result', 'to', 'describing', 'the', 'structure', 'of', 'the', 'spectral', 'function', 'and', 'the', 'scattering', 'matrix', 'of', 'the', 'schrodinger', 'operator', 'at', 'the', 'critical', 'energy']] | [-0.15784444774926445, 0.07423884925927628, -0.10143886288099083, 0.0966106904167567, -0.08537322011730278, -0.06875199195641427, -0.010093153224407155, 0.34357658872541824, -0.3342810146234654, -0.18680304761424107, 0.07965321362774566, -0.3356164456287652, -0.15709329435578834, 0.14264312650962377, -0.0033757115173854947, 0.09068993957897212, 0.06793292126629824, 0.10218300961854833, -0.11585029116601764, -0.14022784603667665, 0.4286911190016034, 0.04881022173198469, 0.21945328740288078, 0.11706435007192655, 0.12010319996625185, 0.06221095793363121, 0.02735852628348418, -0.05116245114563585, -0.12893350976909135, 0.13788214404952287, 0.19388156742098983, 0.05857839945554273, 0.2526843940040074, -0.4137105313992059, -0.20866838373519755, 0.13522190890378422, 0.12384448887314647, 0.06868069609023493, -0.026579752693780594, -0.2756676265716921, 0.08263038157450932, -0.10655521570394437, -0.22932233593576115, -0.04351908678798304, 0.009078853752142117, 0.03616727934144207, -0.26102908530105823, 0.05856143100256169, 0.06191468730936816, 0.013410901740972344, -0.1156919104690997, -0.06596507709243415, -0.042598256185926775, 0.07931952207222764, 0.030667981535288286, 0.028343634288987996, 0.07739809487750869, -0.1033506979332248, -0.034904324190898076, 0.3334458893923848, -0.08312390497483221, -0.21010584558969664, 0.12190142196867569, -0.18980957065237525, -0.09027765697029269, 0.12163860982076989, 0.1295007463073197, 0.14118453436013725, -0.1534690843725485, 0.16740927026451877, -0.024550685383103513, 0.08513648088419247, 0.08133432685317081, 0.06100218442418141, 0.134964874037254, 0.10800439645938667, 0.13529681480478173, 0.11259177927341726, -0.07019833428354037, -0.10730236034587394, -0.3814767925643627, -0.175508116984188, -0.22203864833271061, 0.12944221697793698, -0.1373574319177014, -0.2134274402345864, 0.47845523514681393, 0.11481453815222155, 0.2076408745445035, 0.03120505799004739, 0.2620366433244429, 0.2634813410990274, 0.01769671582237438, 0.07552379225438208, 0.20800709443879717, 0.16880571001703726, 0.10439231665804982, -0.25474880135008765, -0.1122031834114481, 0.14593053080233526] |
711.088 | Partial open book decompositions and the contact class in sutured Floer
homology | We demonstrate how to combinatorially calculate the EH-class of a compatible
contact structure in the sutured Floer homology group of a balanced sutured
three manifold which is associated to an abstract partial open book
decomposition. As an application we show that every contact three manifold
(closed or with convex boundary) can be obtained by gluing tight contact
handlebodies whose EH-classes are nontrivial.
| math.GT math.SG | we demonstrate how to combinatorially calculate the ehclass of a compatible contact structure in the sutured floer homology group of a balanced sutured three manifold which is associated to an abstract partial open book decomposition as an application we show that every contact three manifold closed or with convex boundary can be obtained by gluing tight contact handlebodies whose ehclasses are nontrivial | [['we', 'demonstrate', 'how', 'to', 'combinatorially', 'calculate', 'the', 'ehclass', 'of', 'a', 'compatible', 'contact', 'structure', 'in', 'the', 'sutured', 'floer', 'homology', 'group', 'of', 'a', 'balanced', 'sutured', 'three', 'manifold', 'which', 'is', 'associated', 'to', 'an', 'abstract', 'partial', 'open', 'book', 'decomposition', 'as', 'an', 'application', 'we', 'show', 'that', 'every', 'contact', 'three', 'manifold', 'closed', 'or', 'with', 'convex', 'boundary', 'can', 'be', 'obtained', 'by', 'gluing', 'tight', 'contact', 'handlebodies', 'whose', 'ehclasses', 'are', 'nontrivial']] | [-0.22971059437841176, 0.07916356171917868, -0.11751412990658233, 0.07682050067038897, -0.12585031556275983, -0.18224858323422571, -0.03652149499976076, 0.39488630797713997, -0.3383813661833604, -0.2701074435375631, 0.11078577934725521, -0.2410790708226462, -0.24330048000362392, 0.16374006568997476, -0.1804599895918121, -0.030416551899785798, 0.14445982665444415, 0.09119530981406569, -0.11727911543954785, -0.23570247200550512, 0.46722114849835633, -0.08234944529831409, 0.15230919574387372, 0.14917218580376357, 0.11752415078347743, -0.04366075624711811, 0.009115041703140984, 0.11239779395206521, -0.1952387022209829, 0.13310294534700612, 0.2896036953354875, 0.033306494417289896, 0.12675124705225851, -0.43066630075287926, -0.12243161286848286, 0.07847686344757676, 0.13479830489959568, -0.0019532162327474604, 0.022679567779414357, -0.3004585796656708, 0.094841406296473, -0.15720396041870116, -0.1493902180576697, -0.09786439145876405, -0.006235366081818938, -0.024398348790903888, -0.1673661370460953, -0.08060772063521048, 0.06540210739088555, 0.05856828874675557, -0.06009898006450385, -0.06933388077498724, -0.08950060633554434, 0.17408356981662412, -0.046266263828147206, 0.10512096228388448, 0.14754538073417886, -0.0464525266783312, -0.15615048233109216, 0.33655223026871683, -0.09222157086478547, -0.31464601930541297, 0.15093967743838826, -0.07020602637591461, -0.19924346311793972, 0.19314774377271532, 0.04561940568188826, 0.11019070815915863, -0.13285133576428051, 0.11661371168059607, -0.10819410623322862, 0.09055705496381658, 0.11827527209340284, -0.10728731679264455, 0.15706391993056362, 0.1359502840321511, 0.17288795471346627, 0.181133252675257, 0.006387103297553646, -0.09687862722203136, -0.310848660270373, -0.2340868161059916, -0.15118667144949238, 0.19684250539479156, -0.13926408379969266, -0.24811822531434397, 0.32547151108738037, -0.019393895962275566, 0.21175385067084182, 0.1114983813390912, 0.29169356332470975, 0.022381799309126413, 0.035828638511399426, 0.0744495432843299, 0.12177431459228198, 0.17913039441918954, -0.05380999449019631, -0.14935431959262738, -0.04543877557540933, 0.19589078715071082] |
711.0881 | Baryon resonances and strong decays | Constituent quark models provide a reasonable description of the baryon mass
spectra. However, even in the light- and strange-flavor sectors several
intriguing shortcomings remain. Especially with regard to strong decays of
baryon resonances no consistent picture has so far emerged, and the existing
experimental data cannot be explained in a satisfactory manner. Recently first
covariant calculations with modern constituent quark models have become
available for all pi, eta, and K decay modes of the low-lying light and strange
baryons. They generally produced a remarkable underestimation of the
experimental data for partial decay widths. We summarize the main results and
discuss their impact on the classification of baryon resonances into flavor
multiplets. These findings are of particular relevance for future efforts in
the experimental investigation of baryon resonances.
| nucl-th | constituent quark models provide a reasonable description of the baryon mass spectra however even in the light and strangeflavor sectors several intriguing shortcomings remain especially with regard to strong decays of baryon resonances no consistent picture has so far emerged and the existing experimental data cannot be explained in a satisfactory manner recently first covariant calculations with modern constituent quark models have become available for all pi eta and k decay modes of the lowlying light and strange baryons they generally produced a remarkable underestimation of the experimental data for partial decay widths we summarize the main results and discuss their impact on the classification of baryon resonances into flavor multiplets these findings are of particular relevance for future efforts in the experimental investigation of baryon resonances | [['constituent', 'quark', 'models', 'provide', 'a', 'reasonable', 'description', 'of', 'the', 'baryon', 'mass', 'spectra', 'however', 'even', 'in', 'the', 'light', 'and', 'strangeflavor', 'sectors', 'several', 'intriguing', 'shortcomings', 'remain', 'especially', 'with', 'regard', 'to', 'strong', 'decays', 'of', 'baryon', 'resonances', 'no', 'consistent', 'picture', 'has', 'so', 'far', 'emerged', 'and', 'the', 'existing', 'experimental', 'data', 'can', 'not', 'be', 'explained', 'in', 'a', 'satisfactory', 'manner', 'recently', 'first', 'covariant', 'calculations', 'with', 'modern', 'constituent', 'quark', 'models', 'have', 'become', 'available', 'for', 'all', 'pi', 'eta', 'and', 'k', 'decay', 'modes', 'of', 'the', 'lowlying', 'light', 'and', 'strange', 'baryons', 'they', 'generally', 'produced', 'a', 'remarkable', 'underestimation', 'of', 'the', 'experimental', 'data', 'for', 'partial', 'decay', 'widths', 'we', 'summarize', 'the', 'main', 'results', 'and', 'discuss', 'their', 'impact', 'on', 'the', 'classification', 'of', 'baryon', 'resonances', 'into', 'flavor', 'multiplets', 'these', 'findings', 'are', 'of', 'particular', 'relevance', 'for', 'future', 'efforts', 'in', 'the', 'experimental', 'investigation', 'of', 'baryon', 'resonances']] | [-0.08776684163695597, 0.19950296746669557, -0.08665012618834812, 0.13668519023101866, -0.08526392103407503, -0.11565280757023125, 0.06929040719355332, 0.35988007705864006, -0.15374441280975704, -0.28960527403749464, 0.03199700981206224, -0.34500328944922665, -0.04176918699545419, 0.15283388035247233, 0.027969554337988218, 0.0856437844216941, 0.11190925647071966, 0.02834867519135958, -0.04157523837171524, -0.21745467575552954, 0.28726992573163757, 0.005055106591477286, 0.24856827964302242, 0.14464676470631427, -0.014133569556444252, -0.06267311911677986, -0.07384789546728904, -0.01177325090310925, -0.11617741983096981, 0.10547941297615372, 0.22779565649713238, 0.11557305208224011, 0.1748073137489947, -0.43086351911852677, -0.2198274144866159, 0.12963650036441882, 0.20999169031774081, 0.17377909140177364, -0.11207243887887255, -0.29344630964269025, 0.09674315123523651, -0.15981541996396434, -0.15060897686314315, -0.17169170880939547, 0.027997428748397318, -0.015516679118457067, -0.24911220284457516, 0.09750716260627029, -0.005661910804498236, 0.05224319098018409, -0.06651618447352758, -0.25245559643807375, -0.03874495436114765, 0.0855851136771302, 0.13167582774226824, 0.02296063653010083, 0.10656566831730599, -0.15897071014312425, -0.1325567068649441, 0.4244961096780507, -0.05212653308050839, -0.12697412267209976, 0.16482710744268958, -0.16986723870082987, -0.1673501015963458, 0.10856575701444403, 0.1825651317160195, 0.050624434619877985, -0.14389244797566217, 0.06275164373136514, -0.04232127129239595, 0.14082360406970884, 0.04166926775406313, 0.13715570612066227, 0.27541204060127183, 0.19879609016943575, -0.08502791998871258, 0.01183115849619746, -0.024673847151612204, -0.07863008473655135, -0.33148188397698986, -0.09008258976056938, -0.1035212316471482, 0.007169638878751113, -0.02493345518433764, -0.0999261987080255, 0.41836294788119244, 0.11100044280041273, 0.28114067339228366, -0.0060859193647735, 0.3216230377195564, 0.06885371657132398, 0.09512320275264462, 0.04750534471153744, 0.3166309924957555, 0.20385694844780242, 0.11136906409515142, -0.23902835038043266, 0.012070254191726916, -0.03478638840358939] |
711.0882 | Cosmological parameters from strong gravitational lensing and stellar
dynamics in elliptical galaxies | We show how the combination of observations related to strong gravitational
lensing and stellar dynamics in ellipticals offers a new way to measure the
cosmological matter and dark-energy density parameters. A gravitational lensing
estimate of the mass enclosed inside the Einstein circle can be obtained by
measuring the Einstein angle, once the critical density of the system is known.
A model-dependent dynamical estimate of this mass can also be obtained by
measuring the central velocity dispersion of the stellar component. By assuming
the well-tested homologous 1/r^{2} profile for the total density distribution
in the lens elliptical galaxies, these two mass measurements can be properly
compared. Thus, a relation between the Einstein angle and the central stellar
velocity dispersion is derived, and the cosmological matter and the dark-energy
density parameters can be estimated from this. We determined the accuracy of
the cosmological parameter estimates by means of simulations that include
realistic measurement uncertainties on the relevant quantities. Interestingly,
the expected constraints on the cosmological parameter plane are complementary
to those coming from other observational techniques. Then, we applied the
method to the data sets of the Sloan Lens ACS and the Lenses Structure and
Dynamics Surveys, and showed that the concordance value between 0.7 and 0.8 for
the dark-energy density parameter is included in our 99% confidence regions.
The small number of lenses available to date prevents us from precisely
determining the cosmological parameters, but it still proves the feasibility of
the method. When applied to samples made of hundreds of lenses that are
expected to become available from forthcoming surveys, this technique will be
an important tool for measuring the geometry of the Universe.
| astro-ph | we show how the combination of observations related to strong gravitational lensing and stellar dynamics in ellipticals offers a new way to measure the cosmological matter and darkenergy density parameters a gravitational lensing estimate of the mass enclosed inside the einstein circle can be obtained by measuring the einstein angle once the critical density of the system is known a modeldependent dynamical estimate of this mass can also be obtained by measuring the central velocity dispersion of the stellar component by assuming the welltested homologous 1r2 profile for the total density distribution in the lens elliptical galaxies these two mass measurements can be properly compared thus a relation between the einstein angle and the central stellar velocity dispersion is derived and the cosmological matter and the darkenergy density parameters can be estimated from this we determined the accuracy of the cosmological parameter estimates by means of simulations that include realistic measurement uncertainties on the relevant quantities interestingly the expected constraints on the cosmological parameter plane are complementary to those coming from other observational techniques then we applied the method to the data sets of the sloan lens acs and the lenses structure and dynamics surveys and showed that the concordance value between 07 and 08 for the darkenergy density parameter is included in our 99 confidence regions the small number of lenses available to date prevents us from precisely determining the cosmological parameters but it still proves the feasibility of the method when applied to samples made of hundreds of lenses that are expected to become available from forthcoming surveys this technique will be an important tool for measuring the geometry of the universe | [['we', 'show', 'how', 'the', 'combination', 'of', 'observations', 'related', 'to', 'strong', 'gravitational', 'lensing', 'and', 'stellar', 'dynamics', 'in', 'ellipticals', 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711.0883 | Data-driven wavelet-Fisz methodology for nonparametric function
estimation | We propose a wavelet-based technique for the nonparametric estimation of
functions contaminated with noise whose mean and variance are linked via a
possibly unknown variance function. Our method, termed the data-driven
wavelet-Fisz technique, consists of estimating the variance function via a
Nadaraya-Watson estimator, and then performing a wavelet thresholding procedure
which uses the estimated variance function and local means of the data to set
the thresholds at a suitable level. We demonstrate the mean-square
near-optimality of our wavelet estimator over the usual range of Besov classes.
To achieve this, we establish an exponential inequality for the Nadaraya-Watson
variance function estimator. We discuss various implementation issues
concerning our wavelet estimator, and demonstrate its good practical
performance. We also show how it leads to a new wavelet-domain data-driven
variance-stabilising transform. Our estimator can be applied to a variety of
problems, including the estimation of volatilities, spectral densities and
Poisson intensities, as well as to a range of problems in which the
distribution of the noise is unknown.
| math.ST stat.TH | we propose a waveletbased technique for the nonparametric estimation of functions contaminated with noise whose mean and variance are linked via a possibly unknown variance function our method termed the datadriven waveletfisz technique consists of estimating the variance function via a nadarayawatson estimator and then performing a wavelet thresholding procedure which uses the estimated variance function and local means of the data to set the thresholds at a suitable level we demonstrate the meansquare nearoptimality of our wavelet estimator over the usual range of besov classes to achieve this we establish an exponential inequality for the nadarayawatson variance function estimator we discuss various implementation issues concerning our wavelet estimator and demonstrate its good practical performance we also show how it leads to a new waveletdomain datadriven variancestabilising transform our estimator can be applied to a variety of problems including the estimation of volatilities spectral densities and poisson intensities as well as to a range of problems in which the distribution of the noise is unknown | [['we', 'propose', 'a', 'waveletbased', 'technique', 'for', 'the', 'nonparametric', 'estimation', 'of', 'functions', 'contaminated', 'with', 'noise', 'whose', 'mean', 'and', 'variance', 'are', 'linked', 'via', 'a', 'possibly', 'unknown', 'variance', 'function', 'our', 'method', 'termed', 'the', 'datadriven', 'waveletfisz', 'technique', 'consists', 'of', 'estimating', 'the', 'variance', 'function', 'via', 'a', 'nadarayawatson', 'estimator', 'and', 'then', 'performing', 'a', 'wavelet', 'thresholding', 'procedure', 'which', 'uses', 'the', 'estimated', 'variance', 'function', 'and', 'local', 'means', 'of', 'the', 'data', 'to', 'set', 'the', 'thresholds', 'at', 'a', 'suitable', 'level', 'we', 'demonstrate', 'the', 'meansquare', 'nearoptimality', 'of', 'our', 'wavelet', 'estimator', 'over', 'the', 'usual', 'range', 'of', 'besov', 'classes', 'to', 'achieve', 'this', 'we', 'establish', 'an', 'exponential', 'inequality', 'for', 'the', 'nadarayawatson', 'variance', 'function', 'estimator', 'we', 'discuss', 'various', 'implementation', 'issues', 'concerning', 'our', 'wavelet', 'estimator', 'and', 'demonstrate', 'its', 'good', 'practical', 'performance', 'we', 'also', 'show', 'how', 'it', 'leads', 'to', 'a', 'new', 'waveletdomain', 'datadriven', 'variancestabilising', 'transform', 'our', 'estimator', 'can', 'be', 'applied', 'to', 'a', 'variety', 'of', 'problems', 'including', 'the', 'estimation', 'of', 'volatilities', 'spectral', 'densities', 'and', 'poisson', 'intensities', 'as', 'well', 'as', 'to', 'a', 'range', 'of', 'problems', 'in', 'which', 'the', 'distribution', 'of', 'the', 'noise', 'is', 'unknown']] | [-0.026844508191206394, -0.00393872499454158, -0.1482900201308718, 0.11247883169580411, -0.046165103675580466, -0.1003733979555224, 0.05987540410011664, 0.4018208642198813, -0.313853465672011, -0.2898634929507057, 0.1475599496818199, -0.22809665159328035, -0.19180792523262324, 0.23242372111560194, -0.11596868684275384, 0.12453662640625109, 0.028419131218838545, -0.009245609561769874, -0.09884388972662297, -0.26039924927518643, 0.2759709963460733, 0.07643387030147336, 0.31700412246421483, -0.01763259077607511, 0.17314053828002415, 0.03276539185981443, -0.06019036536693482, -0.0012117562318460708, -0.12277617145535405, 0.13279705226672756, 0.23919313834363057, 0.15142182657849387, 0.3527627945791907, -0.3038756177957781, -0.2143991320619668, 0.14925281990868, 0.1326945785338779, 0.06587545830539308, -0.018997499189322437, -0.2811407197775331, 0.0793122460014341, -0.14841732531900237, -0.10382380828752748, -0.12678880397618914, -0.08412960002290233, 0.060416945390563255, -0.39281947402843487, 0.14923940140284753, 0.03003013548884038, 0.03718850218570945, -0.03011501886299097, -0.17047175223384897, 0.05981131248458923, 0.07357239342106084, 0.054378122329837617, 0.00012912104949726512, 0.1433062679562832, -0.08320577861884026, -0.08933360433560207, 0.2876462365437779, -0.08820822005348702, -0.2459583806311083, 0.1432978674637988, -0.1097146259632213, -0.12006628831299992, 0.09916000326158353, 0.19851634788549752, 0.10902280612717286, -0.159212903431731, 0.05391290866265622, -0.009387035488488118, 0.14126561126140363, 0.016332909050597554, 0.03306294142331448, 0.1072737245314806, 0.17349742906613766, 0.13853820049963847, 0.18072727607046055, -0.16265569593288873, -0.029689083861449927, -0.3226551083745035, -0.11977734831533184, -0.23841748920846387, -0.02677752938910039, -0.16892017852513197, -0.2285061628769146, 0.42527373926999745, 0.1906459954955781, 0.20816850424544212, 0.12837197356557395, 0.3084851602789449, 0.17292217008758443, 0.018012412880873022, 0.07721390585682714, 0.15846368682176515, 0.14945237416819743, 0.02814066024894249, -0.18977375255977633, 0.09084572805023175, 0.05431027527030077] |
711.0884 | Synchronization of phase oscillators with heterogeneous coupling: A
solvable case | We consider an extension of Kuramoto's model of coupled phase oscillators
where oscillator pairs interact with different strengths. When the coupling
coefficient of each pair can be separated into two different factors, each one
associated to an oscillator, Kuramoto's theory for the transition to
synchronization can be explicitly generalized, and the effects of coupling
heterogeneity on synchronized states can be analytically studied. The two
factors are respectively interpreted as the weight of the contribution of each
oscillator to the mean field, and the coupling of each oscillator to that
field. We explicitly analyze the effects of correlations between those weights
and couplings, and show that synchronization can be completely inhibited when
they are strongly anti-correlated. Numerical results validate the theory, but
suggest that finite-size effect are relevant to the collective dynamics close
to the synchronization transition, where oscillators become entrained in
synchronized frequency clusters.
| nlin.PS cond-mat.stat-mech physics.class-ph | we consider an extension of kuramotos model of coupled phase oscillators where oscillator pairs interact with different strengths when the coupling coefficient of each pair can be separated into two different factors each one associated to an oscillator kuramotos theory for the transition to synchronization can be explicitly generalized and the effects of coupling heterogeneity on synchronized states can be analytically studied the two factors are respectively interpreted as the weight of the contribution of each oscillator to the mean field and the coupling of each oscillator to that field we explicitly analyze the effects of correlations between those weights and couplings and show that synchronization can be completely inhibited when they are strongly anticorrelated numerical results validate the theory but suggest that finitesize effect are relevant to the collective dynamics close to the synchronization transition where oscillators become entrained in synchronized frequency clusters | [['we', 'consider', 'an', 'extension', 'of', 'kuramotos', 'model', 'of', 'coupled', 'phase', 'oscillators', 'where', 'oscillator', 'pairs', 'interact', 'with', 'different', 'strengths', 'when', 'the', 'coupling', 'coefficient', 'of', 'each', 'pair', 'can', 'be', 'separated', 'into', 'two', 'different', 'factors', 'each', 'one', 'associated', 'to', 'an', 'oscillator', 'kuramotos', 'theory', 'for', 'the', 'transition', 'to', 'synchronization', 'can', 'be', 'explicitly', 'generalized', 'and', 'the', 'effects', 'of', 'coupling', 'heterogeneity', 'on', 'synchronized', 'states', 'can', 'be', 'analytically', 'studied', 'the', 'two', 'factors', 'are', 'respectively', 'interpreted', 'as', 'the', 'weight', 'of', 'the', 'contribution', 'of', 'each', 'oscillator', 'to', 'the', 'mean', 'field', 'and', 'the', 'coupling', 'of', 'each', 'oscillator', 'to', 'that', 'field', 'we', 'explicitly', 'analyze', 'the', 'effects', 'of', 'correlations', 'between', 'those', 'weights', 'and', 'couplings', 'and', 'show', 'that', 'synchronization', 'can', 'be', 'completely', 'inhibited', 'when', 'they', 'are', 'strongly', 'anticorrelated', 'numerical', 'results', 'validate', 'the', 'theory', 'but', 'suggest', 'that', 'finitesize', 'effect', 'are', 'relevant', 'to', 'the', 'collective', 'dynamics', 'close', 'to', 'the', 'synchronization', 'transition', 'where', 'oscillators', 'become', 'entrained', 'in', 'synchronized', 'frequency', 'clusters']] | [-0.16961091907352158, 0.24455535627708336, -0.02756705742406969, 0.03455774923915871, -0.025107223278610036, -0.18871596629550266, 0.009247625419650123, 0.38874138900104704, -0.29906832796728444, -0.2478693664759501, 0.04794067126527403, -0.2917350012665136, -0.17480176822411725, 0.16031829056090727, 0.020289285776218295, -0.05147144452591116, 0.032462405647189975, 0.07861518233160798, -0.016509253097562276, -0.20235800912713683, 0.3110659531214171, 0.017030794065956596, 0.2629762657193674, 0.02321430595717781, 0.0543901042059992, -0.05805964520712021, 0.06792781159229991, 0.05318707441134999, -0.08608970298514072, 0.0552519823654115, 0.22836027844783124, 0.030115473168229476, 0.2528400201570346, -0.4330939823541687, -0.1923843870560328, 0.11454070649536637, 0.18952850669383123, 0.13051481013179808, 0.03125841458919846, -0.31348630619080115, 0.01832320642643026, -0.17670280489013143, -0.09934916698128088, -0.0855152944859583, -0.003577248806120931, 0.07568904340294264, -0.2935396621792784, 0.08150749002945507, 0.014850510914079173, 0.017908633272680972, -0.07468409767251513, -0.06237393946179913, -0.06449480128422794, 0.18521252565430282, 0.0319418911168062, -0.02423115031948934, 0.134827697960039, -0.10850036211195402, -0.10403965176616718, 0.35929030165748876, -0.07548009638129669, -0.2222016470041126, 0.2005497049087555, -0.14334317531190915, -0.11260739617217849, 0.09664111535271837, 0.1897433171365669, 0.06374816527305585, -0.14193422856321072, 0.002424324361426342, 0.046395668955584474, 0.1936717098643486, 0.04932778472559423, 0.05288075905668342, 0.19585330370723064, 0.10714823638813363, 0.011925400529030917, 0.159084047137488, -0.03535463044479709, -0.15771490538221164, -0.280775815119139, -0.0767627331305347, -0.16728956019829233, 0.015979363353431433, -0.1018754766066397, -0.13164578928182083, 0.4067804232860605, 0.151218705454893, 0.2190086767077446, 0.005615249909977946, 0.25028051470872015, 0.17811658906228128, 0.06432711458829646, 0.034591089132138424, 0.310941486658218, 0.17295913310307595, -0.002861198505949384, -0.2809592948162592, 0.015377258208698348, 0.024797764480657253] |
711.0885 | Slowly Rotating Charged Gauss-Bonnet Black holes in AdS Spaces | Rotating charged Gauss-Bonnet black hole solutions in higher dimensional ($d
>4$), asymptotically anti-de Sitter spacetime are obtained in the small angular
momentum limit. The angular momentum, magnetic dipole moment, and the
gyromagnetic ratio of the black holes are calculated and it turns out that the
Gauss-Bonnet term does not affect to the gyromagnetic ratio.
| hep-th | rotating charged gaussbonnet black hole solutions in higher dimensional d 4 asymptotically antide sitter spacetime are obtained in the small angular momentum limit the angular momentum magnetic dipole moment and the gyromagnetic ratio of the black holes are calculated and it turns out that the gaussbonnet term does not affect to the gyromagnetic ratio | [['rotating', 'charged', 'gaussbonnet', 'black', 'hole', 'solutions', 'in', 'higher', 'dimensional', 'd', '4', 'asymptotically', 'antide', 'sitter', 'spacetime', 'are', 'obtained', 'in', 'the', 'small', 'angular', 'momentum', 'limit', 'the', 'angular', 'momentum', 'magnetic', 'dipole', 'moment', 'and', 'the', 'gyromagnetic', 'ratio', 'of', 'the', 'black', 'holes', 'are', 'calculated', 'and', 'it', 'turns', 'out', 'that', 'the', 'gaussbonnet', 'term', 'does', 'not', 'affect', 'to', 'the', 'gyromagnetic', 'ratio']] | [-0.21968440003951806, 0.1961687498346523, 0.007559275840995488, 0.16050023019865708, -0.08987112157046795, -0.1684735766094592, -0.046613801963825675, 0.2890261717278648, -0.0906088228199493, -0.29249035594639955, -0.008263766778529517, -0.3256944250660362, -0.015479722801871874, 0.142870833066775, -0.012859636132984801, 0.02143250185030478, -0.03660352243093291, 0.03846443917050406, -0.11931227661100113, -0.23420432241012654, 0.35933473168147934, 0.12462997255432937, 0.2963364515604486, 0.021572174150841655, 0.11174022413238331, -0.021662501402682176, 0.03656566198225374, 0.12908286187383863, -0.18648824941313555, -0.021755275764951, 0.15633085252786125, 0.010554667010351463, 0.08514985745703732, -0.3473781386597289, -0.13904320202008993, 0.07361418955648939, 0.2120585201903143, 0.152791119404827, -0.047568831954979234, -0.2077306423129307, 0.04735961624559153, -0.21155309380480536, -0.1801168683881837, -0.12535983311978202, 0.105605099350214, -0.06574422721233633, -0.23307725593137243, 0.1617719612463757, 0.10459232833926324, -0.13534857374098566, -0.1474015938669995, -0.1441153797527982, -0.13281551672628633, 0.041799124192308496, 0.24324700476049824, 0.0884066469863885, 0.2104739422082073, -0.08032641183173703, -0.06017593043442401, 0.3336069712898246, -0.09589462823889873, -0.3203773230176281, 0.09747699612354929, -0.37085738512514915, -0.06928768158993787, 0.15574003956108182, 0.1362846259165693, 0.267911865496663, -0.10321045008108572, 0.2057021334228382, 0.03865919864943458, 0.18835525460868935, 0.21004412609531922, 0.08836743800417969, 0.4174453003970147, 0.028616139251324866, -0.0020366906084948117, 0.11840048853169989, -0.09466411378579559, -0.1037168010758857, -0.2787878929326932, -0.1573532527588584, -0.1863770360359922, 0.188356578009714, -0.28113839844256827, -0.16903931095644278, 0.22356852050870657, 0.038821618636440555, 0.1522701334518691, -0.006052454312642415, 0.252435724789191, 0.10734648842157589, 0.05943143295331134, 0.14247795806645794, 0.43664927035570145, 0.16974065539047675, 0.20727380542774443, -0.32742604632275524, -0.12341918657464837, 0.15575917232436715] |
711.0886 | Risk, ambiguity and quantum decision theory | In the present article we use the quantum formalism to describe the effects
of risk and ambiguity in decision theory. The main idea is that the
probabilities in the classic theory of expected utility are estimated
probabilities, and thus do not follow the classic laws of probability theory.
In particular, we show that it is possible to use consistently the classic
expected utility formula, where the probability associated to the events are
computed with the equation of quantum interference. Thus we show that the
correct utility of a lottery can be simply computed by adding to the classic
expected utility a new corrective term, the uncertainty utility, directly
connected with the quantum interference term.
| physics.gen-ph | in the present article we use the quantum formalism to describe the effects of risk and ambiguity in decision theory the main idea is that the probabilities in the classic theory of expected utility are estimated probabilities and thus do not follow the classic laws of probability theory in particular we show that it is possible to use consistently the classic expected utility formula where the probability associated to the events are computed with the equation of quantum interference thus we show that the correct utility of a lottery can be simply computed by adding to the classic expected utility a new corrective term the uncertainty utility directly connected with the quantum interference term | [['in', 'the', 'present', 'article', 'we', 'use', 'the', 'quantum', 'formalism', 'to', 'describe', 'the', 'effects', 'of', 'risk', 'and', 'ambiguity', 'in', 'decision', 'theory', 'the', 'main', 'idea', 'is', 'that', 'the', 'probabilities', 'in', 'the', 'classic', 'theory', 'of', 'expected', 'utility', 'are', 'estimated', 'probabilities', 'and', 'thus', 'do', 'not', 'follow', 'the', 'classic', 'laws', 'of', 'probability', 'theory', 'in', 'particular', 'we', 'show', 'that', 'it', 'is', 'possible', 'to', 'use', 'consistently', 'the', 'classic', 'expected', 'utility', 'formula', 'where', 'the', 'probability', 'associated', 'to', 'the', 'events', 'are', 'computed', 'with', 'the', 'equation', 'of', 'quantum', 'interference', 'thus', 'we', 'show', 'that', 'the', 'correct', 'utility', 'of', 'a', 'lottery', 'can', 'be', 'simply', 'computed', 'by', 'adding', 'to', 'the', 'classic', 'expected', 'utility', 'a', 'new', 'corrective', 'term', 'the', 'uncertainty', 'utility', 'directly', 'connected', 'with', 'the', 'quantum', 'interference', 'term']] | [-0.0750127399111526, 0.08896658018133358, -0.09412071366361424, 0.13298810141267287, -0.08743334699242392, -0.11221290347288902, 0.10921289647721048, 0.3403515023783895, -0.3015127001460968, -0.2853257775372058, 0.05505523729758958, -0.27227368633867355, -0.2220949584193397, 0.15446994649021673, -0.1289093159792716, 0.04885249356575833, 0.026219726162309057, 0.0872955050793264, -0.030996491146588437, -0.2502169357204254, 0.3417981210565031, 0.07391838361039399, 0.275355390477272, 0.05701116996760104, 0.07226373635951364, 0.025782575986037653, -0.031490724925932134, 0.07823017558589447, -0.11563281498316078, 0.12621453057222984, 0.26002779908747853, 0.16851061177358292, 0.29031259504457313, -0.420345442941445, -0.21313282371122846, 0.0880251820321734, 0.08318241549708896, 0.10620915173683643, -0.0026659969844969743, -0.25697726294349293, 0.06811299137035876, -0.20139237334788368, -0.13789530738518296, -0.04801900911945523, -0.040070442850456425, 0.020563141061932567, -0.2733494100373304, 0.0730796985189316, 0.05120455742029375, -0.06353191827963058, -0.01633512655175046, -0.09189883797233434, -0.004382963018622576, 0.14549704480368905, 0.051631936799375375, 0.01569585067938948, 0.10389786052288846, -0.12633441498078274, -0.18538267423578522, 0.3936216588123914, -0.06370128713254082, -0.1985015343188455, 0.11836816568597498, -0.13458925733555174, -0.10426544670930557, 0.10276629257612258, 0.14506163024915414, 0.10379462248416976, -0.16080626451590083, 0.06130145677557346, -0.01768680764852386, 0.1280567741977345, 0.017381350393407047, 0.049232993515927276, 0.16880687200382613, 0.08265400388514982, 0.04090348749805503, 0.12991065890916312, -0.07117274447738421, -0.17768037474863313, -0.33124562032651483, -0.1507018448888917, -0.18896149811865925, 0.06338980647935961, -0.06082590168577889, -0.12290300767288723, 0.33514460869411233, 0.21118564628832565, 0.1645683003426121, 0.13639428247615956, 0.32399496294786795, 0.20376849300309754, 0.049125195431866144, 0.01872143060736881, 0.23447810299694538, 0.0820125608414967, 0.032500029847908174, -0.24067746068906495, 0.11614814788315511, 0.04767893153455174] |
711.0887 | The absence of the 4$\psi$ divergence in noncommutative chiral models | In this paper we show that in the noncommutative chiral gauge theories the
4-fermion vertices are finite. The $4\psi$-vertices appear in linear order in
quantization of the $\theta$-expanded noncommutative gauge theories; in all
previously considered models, based on Dirac fermions, the $4\psi$-vertices
were divergent and nonrenormalizable.
| hep-th | in this paper we show that in the noncommutative chiral gauge theories the 4fermion vertices are finite the 4psivertices appear in linear order in quantization of the thetaexpanded noncommutative gauge theories in all previously considered models based on dirac fermions the 4psivertices were divergent and nonrenormalizable | [['in', 'this', 'paper', 'we', 'show', 'that', 'in', 'the', 'noncommutative', 'chiral', 'gauge', 'theories', 'the', '4fermion', 'vertices', 'are', 'finite', 'the', '4psivertices', 'appear', 'in', 'linear', 'order', 'in', 'quantization', 'of', 'the', 'thetaexpanded', 'noncommutative', 'gauge', 'theories', 'in', 'all', 'previously', 'considered', 'models', 'based', 'on', 'dirac', 'fermions', 'the', '4psivertices', 'were', 'divergent', 'and', 'nonrenormalizable']] | [-0.16512899511409077, 0.26718651966869156, -0.053733903406695885, 0.10061613047781232, -0.07770265739368783, -0.13913563668558543, -0.05140045655372722, 0.33678094001317566, -0.14931762811135163, -0.23110636514188213, 0.005336052724901078, -0.29007532117380336, -0.22055709581102498, 0.04798942618072033, -0.08138959956440059, 0.05700218463739888, -0.0657316496680406, 0.09266480075034038, -0.12102804906052453, -0.369070161557333, 0.3659666475247253, -0.0381505352508446, 0.21897457592951303, 0.07231925165450032, 0.060504114075394515, -0.0006417490817098455, -0.04389603364027359, 0.015764295038851826, -0.07633657707513274, 0.0677344364283437, 0.24720433483864987, -0.0472997286229987, 0.15420578284697098, -0.4440682367845015, -0.23286381365985356, 0.07818962290713732, 0.15196602244395763, 0.13378850916739216, -0.008788700207581067, -0.2926151622510092, 0.0693330544110557, -0.20020844520662318, -0.08197066184154457, -0.07891056648540226, -0.0779355137439614, -0.07562307884324003, -0.23245104719800028, 0.0575305269501934, 0.03096288300796666, 0.0886920601637526, -0.04683669316794046, -0.10831613548692655, -0.03857840625145896, 0.03280673530587757, 0.11050068515098908, 0.010182695791379294, 0.04191632625985552, -0.163576395732393, -0.2114695101891729, 0.428369756618684, -0.09540842775393023, -0.2713783578418026, 0.15999962847193025, -0.19095095562409947, -0.22717055946652015, 0.03931975887495686, 0.12472003703111444, 0.19265819641507484, -0.13749178568832576, 0.2788981370064324, -0.06378577848557722, 0.06645072695788588, 0.08728576088535854, 0.07487985386978835, 0.22691924222321672, 0.03219086545604197, 0.033227936999702994, 0.07722565618645273, 0.03096602530620823, -0.16406107352602042, -0.4306983393193646, -0.11978698657317595, -0.14092193904004738, 0.07445111338430169, -0.11823112154558078, -0.19143630515530027, 0.3896334771574898, 0.20663265384395013, 0.15819100658832627, 0.031510806028646504, 0.184888171878728, 0.1570739015111361, 0.1471740985289216, 0.006614867068657821, 0.2675862332107499, 0.1479556166450493, 0.048717766502787446, -0.22990904955341565, -0.1365371280553518, 0.21397677063941956] |
711.0888 | Two-dimensional kinematics of SLACS lenses: I. Phase-space analysis of
the early-type galaxy SDSS J2321-097 at z=0.1 | We present the first results of a combined VLT VIMOS integral-field unit and
Hubble Space Telescope (HST)/ACS study of the early-type lens galaxy SDSS
J2321-097 at z=0.0819, extending kinematic studies to a look-back time of 1
Gyr. This system, discovered in the Sloan Lens ACS Survey (SLACS), has been
observed as part of a VLT Large Programme with the goal of obtaining
two-dimensional stellar kinematics of 17 early-type galaxies to z~0.35 and Keck
spectroscopy of an additional dozen lens systems. Bayesian modelling of both
the surface brightness distribution of the lensed source and the
two-dimensional measurements of velocity and velocity dispersion has allowed
us, under the only assumptions of axisymmetry and a two-integral stellar
distribution function (DF) for the lens galaxy, to dissect this galaxy in three
dimensions and break the classical mass--anisotropy, mass-sheet and
inclination--oblateness degeneracies. Our main results are that the galaxy (i)
has a total density profile well described by a single power-law rho propto
r^{-gamma'} with gamma'=2.06^{+0.03}_{-0.06}; (ii) is a very slow rotator
(specific stellar angular momentum parameter lambda_R = 0.075); (iii) shows
only mild anisotropy (delta ~ 0.15); and (iv) has a dark matter contribution of
~30 per cent inside the effective radius. Our first results from this large
combined imaging and spectroscopic effort with the VLT, Keck and HST show that
the structure of massive early-type galaxies beyond the local Universe can now
be studied in great detail using the combination of stellar kinematics and
gravitational lensing. Extending these studies to look-back times where
evolutionary effects become measurable holds great promise for the
understanding of formation and evolution of early-type galaxies.
| astro-ph | we present the first results of a combined vlt vimos integralfield unit and hubble space telescope hstacs study of the earlytype lens galaxy sdss j2321097 at z00819 extending kinematic studies to a lookback time of 1 gyr this system discovered in the sloan lens acs survey slacs has been observed as part of a vlt large programme with the goal of obtaining twodimensional stellar kinematics of 17 earlytype galaxies to z035 and keck spectroscopy of an additional dozen lens systems bayesian modelling of both the surface brightness distribution of the lensed source and the twodimensional measurements of velocity and velocity dispersion has allowed us under the only assumptions of axisymmetry and a twointegral stellar distribution function df for the lens galaxy to dissect this galaxy in three dimensions and break the classical massanisotropy masssheet and inclinationoblateness degeneracies our main results are that the galaxy i has a total density profile well described by a single powerlaw rho propto rgamma with gamma206003_006 ii is a very slow rotator specific stellar angular momentum parameter lambda_r 0075 iii shows only mild anisotropy delta 015 and iv has a dark matter contribution of 30 per cent inside the effective radius our first results from this large combined imaging and spectroscopic effort with the vlt keck and hst show that the structure of massive earlytype galaxies beyond the local universe can now be studied in great detail using the combination of stellar kinematics and gravitational lensing extending these studies to lookback times where evolutionary effects become measurable holds great promise for the understanding of formation and evolution of earlytype galaxies | [['we', 'present', 'the', 'first', 'results', 'of', 'a', 'combined', 'vlt', 'vimos', 'integralfield', 'unit', 'and', 'hubble', 'space', 'telescope', 'hstacs', 'study', 'of', 'the', 'earlytype', 'lens', 'galaxy', 'sdss', 'j2321097', 'at', 'z00819', 'extending', 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711.0889 | Dipolar bosons in a planar array of one-dimensional tubes | We investigate bosonic atoms or molecules interacting via dipolar
interactions in a planar array of one-dimensional tubes. We consider the
situation in which the dipoles are oriented perpendicular to the tubes by an
external field. We find various quantum phases reaching from a `sliding
Luttinger liquid' phase in which the tubes remain Luttinger liquids to a
two-dimensional charge density wave ordered phase. Two different kinds of
charge density wave order occur: a stripe phase in which the bosons in
different tubes are aligned and a checkerboard phase. We further point out how
to distinguish the occurring phases experimentally.
| cond-mat.other cond-mat.str-el | we investigate bosonic atoms or molecules interacting via dipolar interactions in a planar array of onedimensional tubes we consider the situation in which the dipoles are oriented perpendicular to the tubes by an external field we find various quantum phases reaching from a sliding luttinger liquid phase in which the tubes remain luttinger liquids to a twodimensional charge density wave ordered phase two different kinds of charge density wave order occur a stripe phase in which the bosons in different tubes are aligned and a checkerboard phase we further point out how to distinguish the occurring phases experimentally | [['we', 'investigate', 'bosonic', 'atoms', 'or', 'molecules', 'interacting', 'via', 'dipolar', 'interactions', 'in', 'a', 'planar', 'array', 'of', 'onedimensional', 'tubes', 'we', 'consider', 'the', 'situation', 'in', 'which', 'the', 'dipoles', 'are', 'oriented', 'perpendicular', 'to', 'the', 'tubes', 'by', 'an', 'external', 'field', 'we', 'find', 'various', 'quantum', 'phases', 'reaching', 'from', 'a', 'sliding', 'luttinger', 'liquid', 'phase', 'in', 'which', 'the', 'tubes', 'remain', 'luttinger', 'liquids', 'to', 'a', 'twodimensional', 'charge', 'density', 'wave', 'ordered', 'phase', 'two', 'different', 'kinds', 'of', 'charge', 'density', 'wave', 'order', 'occur', 'a', 'stripe', 'phase', 'in', 'which', 'the', 'bosons', 'in', 'different', 'tubes', 'are', 'aligned', 'and', 'a', 'checkerboard', 'phase', 'we', 'further', 'point', 'out', 'how', 'to', 'distinguish', 'the', 'occurring', 'phases', 'experimentally']] | [-0.24670290166265046, 0.3321525262330471, -0.02724733736130827, 0.034195994696941, 0.026634379309050892, -0.1344798047675238, 0.03743745079406594, 0.4119239251452441, -0.23599759714525878, -0.23547239563598923, 0.04067112258706736, -0.2926520224926727, -0.12938613400138838, 0.07530106405718062, 0.07988052019773394, 0.010919925281587911, -0.04838257294495077, -0.0336542179266333, -0.11964279447435117, -0.21028927107560164, 0.2793202151316313, -0.07112640310767848, 0.30717076810685046, 0.02388919558737199, 0.04086440777862255, 0.00976580763425754, 0.0957482943895786, 0.07589020356488395, -0.16197428768690753, 0.0002947889829092488, 0.26599832196548884, -0.10354856508118766, 0.11971544501922872, -0.5434530415021035, -0.20225147913181585, 0.07256907180464846, 0.13028146651792055, 0.16085332520519935, -0.029848888357245952, -0.3228966980241239, -0.017678739182289918, -0.16472677254754745, -0.16378777807255332, -0.055032314248002916, -0.013391174199012089, 0.06367211148341195, -0.20780648971309088, 0.06974168433522691, 0.05716674090173019, 0.031108850751034155, -0.04056822868065234, -0.049825520520763736, -0.01591939301044699, 0.07705747715568131, 0.021697633974586746, 0.07851752590350046, 0.1718683842978231, -0.1845149927848608, -0.11684043136216243, 0.3750480753654728, -0.0352908468731603, -0.18857152999511786, 0.23963801188118833, -0.15710078692390364, -0.06993527794541905, 0.2162577475430634, 0.15009004404092427, 0.07313715490127666, -0.12797207142967654, 0.010681587109242432, -0.0357033713665501, 0.1672375101717284, 0.07483519773398127, 0.01058210032440874, 0.3689646633265882, 0.16368525102734566, 0.05477760432820235, 0.21255819260009698, -0.15132880490273237, -0.14487740452097234, -0.2556385322740035, -0.1873159590699919, -0.17982042789915387, 0.012057949509412259, -0.033150113087797264, -0.21738163437884378, 0.4289577659742184, 0.14818777087648227, 0.18034358286507884, -0.07735300819479804, 0.2369362886149284, 0.059256137937915565, 0.027547407648241033, 0.014600487136072954, 0.2541270996111312, 0.16467632091252551, 0.07324862975997812, -0.21572205806578681, -0.05468118117590036, 0.07079176265955428] |
711.089 | Barrier breakdown in a multiple quantum well structure | We explore a regime of unipolar electronic transport in a multiple quantum
well structure with very large current discontinuities - up to five orders of
magnitude. Magneto-transport experiments reveal different transport regimes.
Quantum well impact ionization shifts the structure from a resistive down
state, where the current flows through inter-well quantum tunneling, to a
highly conductive up state. In the latter regime, the current leaks through a
barrier suddenly broken down because of an efficient ionization of the first
quantum well.
| cond-mat.mtrl-sci cond-mat.mes-hall | we explore a regime of unipolar electronic transport in a multiple quantum well structure with very large current discontinuities up to five orders of magnitude magnetotransport experiments reveal different transport regimes quantum well impact ionization shifts the structure from a resistive down state where the current flows through interwell quantum tunneling to a highly conductive up state in the latter regime the current leaks through a barrier suddenly broken down because of an efficient ionization of the first quantum well | [['we', 'explore', 'a', 'regime', 'of', 'unipolar', 'electronic', 'transport', 'in', 'a', 'multiple', 'quantum', 'well', 'structure', 'with', 'very', 'large', 'current', 'discontinuities', 'up', 'to', 'five', 'orders', 'of', 'magnitude', 'magnetotransport', 'experiments', 'reveal', 'different', 'transport', 'regimes', 'quantum', 'well', 'impact', 'ionization', 'shifts', 'the', 'structure', 'from', 'a', 'resistive', 'down', 'state', 'where', 'the', 'current', 'flows', 'through', 'interwell', 'quantum', 'tunneling', 'to', 'a', 'highly', 'conductive', 'up', 'state', 'in', 'the', 'latter', 'regime', 'the', 'current', 'leaks', 'through', 'a', 'barrier', 'suddenly', 'broken', 'down', 'because', 'of', 'an', 'efficient', 'ionization', 'of', 'the', 'first', 'quantum', 'well']] | [-0.14964287261245773, 0.20478119648341817, -0.02919154238770716, 0.030066554667428136, 0.0041735476639587436, -0.13446017249370926, 0.11540100113488734, 0.32731195013038816, -0.34122963442932813, -0.3122325725620613, 0.043761427004938014, -0.27402839160058645, -0.09150198427960277, 0.2281440958380699, 0.07437724432675168, 0.06481704706093297, 0.011595826654229313, -0.05514686815731693, -0.07625402505655074, -0.18850833786591464, 0.284233232436236, 0.052768117561936376, 0.31717196307145057, 0.09539097621454858, 0.10689486785413464, -0.06102624746854417, 0.0806685513467528, 0.043963254650952875, -0.1043374014843721, 0.017034677386982368, 0.24796978337690234, -0.08805011658696457, 0.25233877740683963, -0.5070446426980197, -0.22055243591312318, -0.03501813726034016, 0.1641779653611593, 0.18582355998805725, -0.05112833131570369, -0.2858243784750812, -0.0034368723689112814, -0.18869291107403113, -0.06918513712007553, -0.09459803911158815, -0.03358189139398746, 0.0020636026281863453, -0.2219612114087795, 0.08713598574395291, 0.0072060279999277554, 0.035529147391207515, -0.006804003095021471, -0.03714251089841127, 0.009979095964808948, 0.13274812850286252, 0.013196911825798453, 0.0008554164523957297, 0.20269991912064142, -0.20951611647687968, -0.13835691763670183, 0.356637270655483, -0.06751030747836921, -0.10293846647255123, 0.21109062173054555, -0.20604725731536747, -0.036677570827305314, 0.19264762138482183, 0.10427910954022082, 0.13624481339938938, -0.11140593533782521, 0.05967280206969008, 0.03646172471344471, 0.15891000314732082, 0.05582333255442791, 0.06453473739238688, 0.26238522296771405, 0.1998831021366641, 0.08816118824761361, 0.14928223035531119, -0.13191779762273653, -0.14702297477706452, -0.2733221827136731, -0.14766659933375195, -0.12716074411291628, 0.14804718567756936, -0.0468816248816438, -0.1995630998746492, 0.4265545278554782, 0.15587478216621092, 0.24838723320281134, -0.06877554090460762, 0.32721438410226256, 0.129172789840959, 0.04226946400012821, 0.10130030895816163, 0.25149306417442857, 0.1564640562646673, 0.14278667566832154, -0.2968702199956169, 0.08025467216502875, -0.044939572690054774] |
711.0891 | The blue plume population in dwarf spheroidal galaxies: young stellar
population or genuine blue stragglers? | In the context of dwarf spheroidal galaxies it is hard to firmly disentangle
a genuine Blue Stragglers (BSS) population from a normal young main (MS)
sequence. This difficulty is persistent. For a sample of 9 non-star forming
Local Group dwarf galaxies we compute the ``BSS frequency'' and compare it with
that found in the Milky Way globular/open clusters and halo. The comparison
shows that the BSS-frequency in dwarf galaxies, at any given Mv, is always
higher than that in globular clusters of similar luminosities. Moreover, the
estimated BSS-frequency for the lowest luminosity dwarf galaxies is in
excellent agreement with that observed in the Milky Way halo and open clusters.
We conclude that the low density, almost collision-less environment, of our
dwarf galaxy sample point to their very low dynamical evolution and consequent
negligible production of collisional BSS.
| astro-ph | in the context of dwarf spheroidal galaxies it is hard to firmly disentangle a genuine blue stragglers bss population from a normal young main ms sequence this difficulty is persistent for a sample of 9 nonstar forming local group dwarf galaxies we compute the bss frequency and compare it with that found in the milky way globularopen clusters and halo the comparison shows that the bssfrequency in dwarf galaxies at any given mv is always higher than that in globular clusters of similar luminosities moreover the estimated bssfrequency for the lowest luminosity dwarf galaxies is in excellent agreement with that observed in the milky way halo and open clusters we conclude that the low density almost collisionless environment of our dwarf galaxy sample point to their very low dynamical evolution and consequent negligible production of collisional bss | [['in', 'the', 'context', 'of', 'dwarf', 'spheroidal', 'galaxies', 'it', 'is', 'hard', 'to', 'firmly', 'disentangle', 'a', 'genuine', 'blue', 'stragglers', 'bss', 'population', 'from', 'a', 'normal', 'young', 'main', 'ms', 'sequence', 'this', 'difficulty', 'is', 'persistent', 'for', 'a', 'sample', 'of', '9', 'nonstar', 'forming', 'local', 'group', 'dwarf', 'galaxies', 'we', 'compute', 'the', 'bss', 'frequency', 'and', 'compare', 'it', 'with', 'that', 'found', 'in', 'the', 'milky', 'way', 'globularopen', 'clusters', 'and', 'halo', 'the', 'comparison', 'shows', 'that', 'the', 'bssfrequency', 'in', 'dwarf', 'galaxies', 'at', 'any', 'given', 'mv', 'is', 'always', 'higher', 'than', 'that', 'in', 'globular', 'clusters', 'of', 'similar', 'luminosities', 'moreover', 'the', 'estimated', 'bssfrequency', 'for', 'the', 'lowest', 'luminosity', 'dwarf', 'galaxies', 'is', 'in', 'excellent', 'agreement', 'with', 'that', 'observed', 'in', 'the', 'milky', 'way', 'halo', 'and', 'open', 'clusters', 'we', 'conclude', 'that', 'the', 'low', 'density', 'almost', 'collisionless', 'environment', 'of', 'our', 'dwarf', 'galaxy', 'sample', 'point', 'to', 'their', 'very', 'low', 'dynamical', 'evolution', 'and', 'consequent', 'negligible', 'production', 'of', 'collisional', 'bss']] | [-0.06519120337907225, 0.07116868124524159, -0.1226036791731395, 0.16162666070115156, -0.09245975311313853, -0.026865769234145367, 0.08730461975340661, 0.4346210553463715, -0.11981914789457597, -0.35976175813059974, -0.03307375933022808, -0.2872923661662794, -0.0410485390657142, 0.1971812182411885, -0.05517018565894174, -0.06778363552232926, 0.09748442648604179, -0.052538600593888714, -0.032235852239389365, -0.31377462374129844, 0.31050994452228076, 0.04991544582255518, 0.17603244135545484, -0.1447865041533729, 0.0543456605823238, -0.1001308485652744, -0.05803684620038996, -0.04625650861217126, -0.11324677172899046, -0.008955739939380298, 0.29841110620425265, 0.07769941718581674, 0.22841239435688498, -0.35071148395261625, -0.1748065092017068, 0.10489163231695377, 0.2428582334441807, 0.031100579878009522, -0.14565512306254996, -0.23452982219603302, 0.16282946284627542, -0.19704064011222808, -0.20161536487111292, 0.08515546689115798, 0.07308184718991172, 0.050770142226855254, -0.1899933671133954, 0.1830112322762699, 0.06571721463744813, 0.04684168997797559, -0.11774090787486187, -0.11453029776770454, -0.05588344977508341, 0.09969221897868079, 0.0003061251290865354, 0.08975000420599175, 0.19765315747384588, -0.13284355642642381, 0.01428726277619934, 0.4118611967302303, -0.05874534358703549, 0.021058011979017573, 0.2984465470315138, -0.23278973100762537, -0.1950511521096828, 0.06467814885997283, 0.12576053363493464, 0.08635221953406486, -0.21007424393762597, 0.02258048570278768, -0.026591275720474823, 0.18255114458252, 0.04075711713269798, 0.041680572514125554, 0.3013110547569761, 0.12445910837164205, 0.10870049681875911, 0.07681701987036574, -0.16880039612192715, -0.05859045442819262, -0.1995796148036259, -0.11272693897811209, -0.17291288585541076, 0.07048333592803231, -0.14399985877975974, -0.12474293223974893, 0.3290243350462849, 0.0960168692269432, 0.2545670657088535, 0.08559034497880225, 0.332046013992669, 0.09562335764978831, 0.118804725725649, 0.14500092390033983, 0.2536039242222071, 0.20051116035528369, 0.024569100849747436, -0.2853993156476558, 0.04821379016042312, -0.06579809607208165] |
711.0892 | Routing in Outer Space: Improved Security and Energy-Efficiency in
Multi-Hop Wireless Networks | In this paper we consider security-related and energy-efficiency issues in
multi-hop wireless networks. We start our work from the observation, known in
the literature, that shortest path routing creates congested areas in multi-hop
wireless networks. These areas are critical--they generate both security and
energy efficiency issues. We attack these problems and set out routing in outer
space, a new routing mechanism that transforms any shortest path routing
protocol (or approximated versions of it) into a new protocol that, in case of
uniform traffic, guarantees that every node of the network is responsible for
relaying the same number of messages, on expectation. We can show that a
network that uses routing in outer space does not have congested areas, does
not have the associated security-related issues, does not encourage selfish
positioning, and, in spite of using more energy globally, lives longer of the
same network using the original routing protocol.
| cs.NI | in this paper we consider securityrelated and energyefficiency issues in multihop wireless networks we start our work from the observation known in the literature that shortest path routing creates congested areas in multihop wireless networks these areas are criticalthey generate both security and energy efficiency issues we attack these problems and set out routing in outer space a new routing mechanism that transforms any shortest path routing protocol or approximated versions of it into a new protocol that in case of uniform traffic guarantees that every node of the network is responsible for relaying the same number of messages on expectation we can show that a network that uses routing in outer space does not have congested areas does not have the associated securityrelated issues does not encourage selfish positioning and in spite of using more energy globally lives longer of the same network using the original routing protocol | [['in', 'this', 'paper', 'we', 'consider', 'securityrelated', 'and', 'energyefficiency', 'issues', 'in', 'multihop', 'wireless', 'networks', 'we', 'start', 'our', 'work', 'from', 'the', 'observation', 'known', 'in', 'the', 'literature', 'that', 'shortest', 'path', 'routing', 'creates', 'congested', 'areas', 'in', 'multihop', 'wireless', 'networks', 'these', 'areas', 'are', 'criticalthey', 'generate', 'both', 'security', 'and', 'energy', 'efficiency', 'issues', 'we', 'attack', 'these', 'problems', 'and', 'set', 'out', 'routing', 'in', 'outer', 'space', 'a', 'new', 'routing', 'mechanism', 'that', 'transforms', 'any', 'shortest', 'path', 'routing', 'protocol', 'or', 'approximated', 'versions', 'of', 'it', 'into', 'a', 'new', 'protocol', 'that', 'in', 'case', 'of', 'uniform', 'traffic', 'guarantees', 'that', 'every', 'node', 'of', 'the', 'network', 'is', 'responsible', 'for', 'relaying', 'the', 'same', 'number', 'of', 'messages', 'on', 'expectation', 'we', 'can', 'show', 'that', 'a', 'network', 'that', 'uses', 'routing', 'in', 'outer', 'space', 'does', 'not', 'have', 'congested', 'areas', 'does', 'not', 'have', 'the', 'associated', 'securityrelated', 'issues', 'does', 'not', 'encourage', 'selfish', 'positioning', 'and', 'in', 'spite', 'of', 'using', 'more', 'energy', 'globally', 'lives', 'longer', 'of', 'the', 'same', 'network', 'using', 'the', 'original', 'routing', 'protocol']] | [-0.25248965165322973, 0.052891480956679664, -0.0493864109519416, 0.03842285846209002, -0.08080482326850698, -0.20253244082355318, 0.11544558496569989, 0.45856898661853895, -0.2763707591008357, -0.26915211844843234, 0.07929727643086398, -0.24916172269857614, -0.19654764656867907, 0.1790499067786653, -0.18892662780913147, 0.05035607620595476, 0.10420268259288089, 0.0421278663357166, 0.0036323108439761643, -0.2573369843082981, 0.3126731755635135, 0.032611241029273416, 0.32845952097527886, 0.0812249930750113, 0.04326184973674449, 0.025322946128309577, -0.003241978900356067, 0.019193942636971967, -0.09372493397352849, 0.10357617729066594, 0.3068354517737454, 0.19911163060129872, 0.3126045481956287, -0.46320223724182435, -0.29219562027326507, 0.1736825051681277, 0.21027295824220543, 0.08948740521382943, -0.012929403150436072, -0.2582642624164126, 0.12396116415510659, -0.2013475040313662, -0.051495856293980534, -0.009078006694294713, -0.04495179547450027, 0.046309291859821265, -0.21808553338868897, -0.027225717590693886, 0.011083582787447283, -0.03368872210282732, -0.04464637716552494, -0.05843179704105431, -0.024404893431032228, 0.1606562791417378, 0.015605571759216537, 0.012166445729137096, 0.11660376652041639, -0.13154476878470805, -0.1910692838829237, 0.38548959602249433, 0.054698664191606884, -0.17205258477730928, 0.11927624278689257, -0.012258221477119101, -0.17152525155452658, 0.11640146991703659, 0.21641142670744778, 0.09092530503718031, -0.16416442186282193, 0.01781039698068304, -0.05677233963128733, 0.15711142406232553, 0.07905817767793967, 0.09374397231039365, 0.12176413275586595, 0.1986016251750108, 0.204427985952714, 0.0813685952830506, -0.07841283268793926, -0.15579281485564, -0.2558812123370936, -0.13284891027826626, -0.19673057031665137, 0.014297472846649456, -0.09811946948438827, -0.11607744975166547, 0.3859951229973671, 0.19218393433776154, 0.14618160485642384, 0.0993596472513132, 0.36700163027775046, 0.023987773488172662, 0.08498253046678114, 0.24911801086902316, 0.1990189334453159, 0.004398564499727375, 0.17831404313737703, -0.14584440463128173, 0.12749746408804344, 0.03707203753544269] |
711.0893 | Application of information and complexity theories to public opinion
polls. The case of Greece (2004-2007) | A general methodology to study public opinion inspired from information and
complexity theories is outlined. It is based on probabilistic data extracted
from opinion polls. It gives a quantitative information-theoretic explanation
of high job approval of Greek Prime Minister Mr. Constantinos Karamanlis
(2004-2007), while the same time series of polls conducted by the company
Metron Analysis showed that his party New Democracy (abbr. ND) was slightly
higher than the opposition party of PASOK -party leader Mr. George Papandreou.
It is seen that the same mathematical model applies to the case of the
popularity of President Clinton between January 1998 and February 1999,
according to a previous study, although the present work extends the
investigation to concepts as complexity and Fisher information, quantifying the
organization of public opinion data.
| stat.AP physics.soc-ph | a general methodology to study public opinion inspired from information and complexity theories is outlined it is based on probabilistic data extracted from opinion polls it gives a quantitative informationtheoretic explanation of high job approval of greek prime minister mr constantinos karamanlis 20042007 while the same time series of polls conducted by the company metron analysis showed that his party new democracy abbr nd was slightly higher than the opposition party of pasok party leader mr george papandreou it is seen that the same mathematical model applies to the case of the popularity of president clinton between january 1998 and february 1999 according to a previous study although the present work extends the investigation to concepts as complexity and fisher information quantifying the organization of public opinion data | [['a', 'general', 'methodology', 'to', 'study', 'public', 'opinion', 'inspired', 'from', 'information', 'and', 'complexity', 'theories', 'is', 'outlined', 'it', 'is', 'based', 'on', 'probabilistic', 'data', 'extracted', 'from', 'opinion', 'polls', 'it', 'gives', 'a', 'quantitative', 'informationtheoretic', 'explanation', 'of', 'high', 'job', 'approval', 'of', 'greek', 'prime', 'minister', 'mr', 'constantinos', 'karamanlis', '20042007', 'while', 'the', 'same', 'time', 'series', 'of', 'polls', 'conducted', 'by', 'the', 'company', 'metron', 'analysis', 'showed', 'that', 'his', 'party', 'new', 'democracy', 'abbr', 'nd', 'was', 'slightly', 'higher', 'than', 'the', 'opposition', 'party', 'of', 'pasok', 'party', 'leader', 'mr', 'george', 'papandreou', 'it', 'is', 'seen', 'that', 'the', 'same', 'mathematical', 'model', 'applies', 'to', 'the', 'case', 'of', 'the', 'popularity', 'of', 'president', 'clinton', 'between', 'january', '1998', 'and', 'february', '1999', 'according', 'to', 'a', 'previous', 'study', 'although', 'the', 'present', 'work', 'extends', 'the', 'investigation', 'to', 'concepts', 'as', 'complexity', 'and', 'fisher', 'information', 'quantifying', 'the', 'organization', 'of', 'public', 'opinion', 'data']] | [-0.06817361351284312, 0.007956782832923458, -0.14984342831421674, 0.09923177020154833, -0.14244239250145005, -0.19455362389591047, 0.12463186550090408, 0.2936324409599136, -0.19537148494046272, -0.34519213609155114, 0.0979904340489245, -0.3404505762831891, -0.1519413228805472, 0.15360922556241777, -0.14811347016867826, 0.01625921358676188, 0.0608223143821143, 0.05909918843791252, 0.06683713745144082, -0.340278120900739, 0.26280441863757625, 0.09975334191770573, 0.3472325694936562, 0.011259912785778686, 0.08080196868139887, 0.05124114866830348, -0.1046500116230814, -0.002341443485908335, -0.13881289709524566, 0.11308969072126822, 0.2807533708983101, 0.22545417801030282, 0.35925589603318914, -0.3581354154228437, -0.14635868056306267, 0.05593483794738001, 0.04377104460244726, 0.08090424604479193, 0.0026020798108131603, -0.35190458901461247, 0.008631279669338611, -0.22317392174608824, -0.06810977353858269, -0.03594981052920344, 0.03952834557560159, -0.008344255855810502, -0.22255892844726824, 0.08801398811506002, 0.07112881180459285, 0.14314049018955813, -0.014460538173230683, -0.1309358565755779, -0.005277541443342116, 0.18145119061890413, 0.09423095374500637, 0.06822334451229894, 0.1083273752952161, -0.09871178689011471, -0.19360472458581313, 0.37541260544733124, 0.001223964152296407, -0.04058769859403857, 0.13458697556714883, -0.16468892572826244, -0.17351518130796864, 0.04261691945915421, 0.16970255440933918, 0.05766909243538976, -0.1576418658657893, 0.02604696303615498, -0.11680631178272206, 0.21306581672742902, 0.09594766458693316, -0.05511126062800593, 0.15312726999589477, 0.1564049646069061, 0.029586509612154185, 0.11379788471840141, -0.016890452101417795, -0.15691705816614676, -0.19834257524680135, -0.16946235004570184, -0.2037045183445789, 0.032379854561352145, -0.04507646228840321, -0.08584742691666948, 0.3977155301462465, 0.14984345233173874, 0.12617448963436897, 0.0603309872757068, 0.26546723718141635, 0.008957661231184697, 0.018771423248392417, 0.08542296927369283, 0.21270970936450062, 0.0698599233803135, 0.21306633017767918, -0.1361179305098542, 0.17155043873178766, 0.05473124162044104] |
711.0894 | The Kochen-Specker Theorem Revisited in Quantum Measure Theory | The Kochen-Specker Theorem is widely interpreted to imply that non-contextual
hidden variable theories that agree with the predictions of Copenhagen quantum
mechanics are impossible. The import of the theorem for a novel observer
independent interpretation of quantum mechanics, due to Sorkin, is
investigated.
| quant-ph | the kochenspecker theorem is widely interpreted to imply that noncontextual hidden variable theories that agree with the predictions of copenhagen quantum mechanics are impossible the import of the theorem for a novel observer independent interpretation of quantum mechanics due to sorkin is investigated | [['the', 'kochenspecker', 'theorem', 'is', 'widely', 'interpreted', 'to', 'imply', 'that', 'noncontextual', 'hidden', 'variable', 'theories', 'that', 'agree', 'with', 'the', 'predictions', 'of', 'copenhagen', 'quantum', 'mechanics', 'are', 'impossible', 'the', 'import', 'of', 'the', 'theorem', 'for', 'a', 'novel', 'observer', 'independent', 'interpretation', 'of', 'quantum', 'mechanics', 'due', 'to', 'sorkin', 'is', 'investigated']] | [-0.05961444056701175, 0.1320672343636668, -0.1788240533625317, 0.16064082006490682, -0.09805806063462136, -0.2768373174138021, 0.0389175528313878, 0.2547562171726726, -0.2395856063379798, -0.28646638123101964, 0.05421681327442097, -0.22899217262517574, -0.11273478559586544, 0.19262953511937414, -0.1978924587845456, 0.09108573022883298, 0.05850107737188769, 0.03528542868619741, -0.016250934538453124, -0.1921165965302566, 0.2614006855806639, 0.05309791056720843, 0.30342112659195136, 0.02943153722688209, 0.12466201007496132, 0.07637067637297996, -0.03791854324815578, 0.05620104392860518, -0.08108098427176226, 0.10756790191801481, 0.28526260712465573, 0.17465271126748966, 0.23072268883156222, -0.4137165482145149, -0.2566531402773635, 0.0903113299634221, 0.032693272142476124, 0.14360742134496915, 0.06328866936179788, -0.3426263155632241, 0.04746090246061253, -0.14689026759980722, -0.17415346865823797, -0.08878811078449321, 0.03550483546284742, -0.11119578668284555, -0.19918844192613697, 0.17393907256489402, 0.1216145375700191, 0.061325050955421706, -0.015453350242920393, -0.056277906486959475, 0.0256023857482644, 0.06945800195383124, 0.04044342162574879, 0.04015003860559921, 0.14386083037852374, -0.06993856088279984, -0.29230250461503515, 0.39586567389237326, 0.023511107556175356, -0.1808902310683977, 0.17015002572605775, -0.07899044267833233, -0.21086289396856067, 0.06760324607061785, 0.012747953147735707, 0.06816166311199236, -0.11458880792177001, 0.11152841263385706, -0.13088727531261568, 0.19373501949878627, 0.07781315977187005, 0.111091774931654, 0.2793743778453317, 0.03495886302444824, -0.06517089140969654, 0.07353036816578445, 0.019905803486878097, -0.28547315134905105, -0.4061863774130511, -0.20630653902108587, -0.24010410484706246, 0.12225377003575653, -0.08757694270245212, -0.1720164865850969, 0.24841612670570612, 0.20732460110340006, 0.11180410160531484, 0.036720729238072104, 0.20140742774792883, 0.13844888811107986, 0.04622371895455344, 0.0182568344049329, 0.31769086942509855, 0.29072012938559055, 0.0695737617436883, -0.14055854522861366, 0.10011139595447931, 0.07495531753831824] |
711.0895 | On the unitary nature of abelian conformal blocks | We determine the projectively flat unitary structure on abelian conformal
blocks in terms of WZW-data.
| math.AG math-ph math.MP | we determine the projectively flat unitary structure on abelian conformal blocks in terms of wzwdata | [['we', 'determine', 'the', 'projectively', 'flat', 'unitary', 'structure', 'on', 'abelian', 'conformal', 'blocks', 'in', 'terms', 'of', 'wzwdata']] | [-0.19224558783961193, 0.13439455585155105, -0.0035524185347769943, 0.04453373075063739, -0.09509918705693313, -0.13498792424798012, -0.10551589032235954, 0.44095498749188017, -0.2556943584765707, -0.11614521395780944, 0.09827181563014165, -0.19554760573165758, -0.1778536295252187, 0.0967672678775021, -0.10422911907413177, 0.024397128128579686, -0.07299417470182691, 0.14458511008082756, -0.21658350282814354, -0.360273230005987, 0.445299499801227, 0.007512440372790609, 0.36511935320283684, -0.026929388088839396, 0.14966989012568124, 0.03783154803594308, -0.06771255311157022, -0.0643725533570562, -0.1447691430470773, 0.11204723102439727, 0.328113847412169, -0.036020839220977256, -0.011761498620866664, -0.4294461432312216, -0.12177429960242339, 0.1414769874619586, 0.11210265329905919, 0.02550859917287848, 0.0647905973601155, -0.2969537791130798, 0.12065339607319661, -0.121584511029401, -0.2202883123287133, -0.10469279757567815, 0.030012082574622973, -0.13913854211568832, -0.08418927094317041, 0.03545305957751615, 0.05818812668855701, 0.07233107469177671, -0.09392125625163317, 0.007821205737335342, -0.05700948302234922, 0.0930903313149299, -0.022043557704559395, -0.032084432197734714, 0.15445457611765182, -0.12019450111048562, -0.07784734333732299, 0.39293281361460686, -0.1263516220663275, -0.31289739318058957, 0.1033694368920156, -0.1467624196915754, -0.1575817670673132, 0.02474267700953143, 0.1392198002764157, 0.1491823342761823, -0.04557979606241653, 0.30619700253009796, -0.15714466199278831, 0.06480769041393485, 0.11660742540178555, 0.044056094118527005, 0.2560638306562656, 0.02387063391506672, 0.06066262608926211, 0.18208518185253655, 0.09822693212689566, -0.07730965130031109, -0.4561480235840593, -0.23568452402417148, -0.14227816701999732, 0.2077634495217353, -0.16925322859814124, -0.2446393495691674, 0.5223072256360736, -0.023020465347924204, 0.2031320547685027, 0.11644395686952132, 0.11794078376676355, -0.018346963516835655, 0.12105575909039804, 0.12208367361953217, 0.18296254366370185, 0.2784984123760036, -0.15912671813774587, -0.22009391254479332, -0.0787513618956187, 0.24275194367926037] |
711.0896 | Stable reduction of curves and tame ramification | We study stable reduction of curves in the case where a tamely ramified base
extension is sufficient. If X is a smooth curve defined over the fraction field
of a strictly henselian discrete valuation ring, there is a criterion, due to
T. Saito, that describes precisely, in terms of the geometry of the minimal
model with strict normal crossings of X, when a tamely ramified extension
suffices in order for X to obtain stable reduction. For such curves we
construct an explicit extension that realizes the stable reduction, and we
furthermore show that this extension is minimal. We also obtain purely
geometric proof of Saito's criterion, avoiding the use of vanishing cycles.
| math.AG | we study stable reduction of curves in the case where a tamely ramified base extension is sufficient if x is a smooth curve defined over the fraction field of a strictly henselian discrete valuation ring there is a criterion due to t saito that describes precisely in terms of the geometry of the minimal model with strict normal crossings of x when a tamely ramified extension suffices in order for x to obtain stable reduction for such curves we construct an explicit extension that realizes the stable reduction and we furthermore show that this extension is minimal we also obtain purely geometric proof of saitos criterion avoiding the use of vanishing cycles | [['we', 'study', 'stable', 'reduction', 'of', 'curves', 'in', 'the', 'case', 'where', 'a', 'tamely', 'ramified', 'base', 'extension', 'is', 'sufficient', 'if', 'x', 'is', 'a', 'smooth', 'curve', 'defined', 'over', 'the', 'fraction', 'field', 'of', 'a', 'strictly', 'henselian', 'discrete', 'valuation', 'ring', 'there', 'is', 'a', 'criterion', 'due', 'to', 't', 'saito', 'that', 'describes', 'precisely', 'in', 'terms', 'of', 'the', 'geometry', 'of', 'the', 'minimal', 'model', 'with', 'strict', 'normal', 'crossings', 'of', 'x', 'when', 'a', 'tamely', 'ramified', 'extension', 'suffices', 'in', 'order', 'for', 'x', 'to', 'obtain', 'stable', 'reduction', 'for', 'such', 'curves', 'we', 'construct', 'an', 'explicit', 'extension', 'that', 'realizes', 'the', 'stable', 'reduction', 'and', 'we', 'furthermore', 'show', 'that', 'this', 'extension', 'is', 'minimal', 'we', 'also', 'obtain', 'purely', 'geometric', 'proof', 'of', 'saitos', 'criterion', 'avoiding', 'the', 'use', 'of', 'vanishing', 'cycles']] | [-0.20828334543122246, 0.052685684022565384, -0.13124694755866326, 0.08363189581411591, -0.09978489621425979, -0.16196302395629963, 0.060464609983942603, 0.30846970150014386, -0.2992005168759663, -0.201533584639297, 0.08184845479575285, -0.19841003198858484, -0.15455200296959706, 0.2072571033058921, -0.1610154180878973, -0.06716996704926714, -0.001348695227144552, 0.09952844552130305, -0.07084446679177095, -0.29896967829284093, 0.311592359120758, -0.041971780775514035, 0.23845953268963577, 0.04367335406069677, 0.14031494462051342, 0.06998103911090377, 0.021901425886816078, 0.0258482714083844, -0.1885486355073616, 0.1106533144900043, 0.28183167534630876, 0.06290600823870461, 0.1959527852471053, -0.3508301630915542, -0.18334249446343165, 0.2663308150534119, 0.09513704479364346, 0.0555253689006869, -0.011090001538312728, -0.1597619827849225, 0.18877390002515831, -0.15598156344744243, -0.2137052551843226, -0.09832862175868026, 0.06711907027576151, -0.005237432997091673, -0.3009775194971423, 0.015310155666156788, 0.15158831999620556, 0.16802387238879288, -0.054877092937074066, -0.030672729516871704, -0.04888471849595329, -0.011443666574060833, 0.004767622271694043, 0.0475886131857156, 0.058958319236938096, -0.0878119314002106, -0.07345941876077891, 0.3688058669046898, -0.12908302426408877, -0.1911336252898244, 0.14170081241172738, -0.13275240908842534, -0.09164976001401166, 0.17367357884566964, 0.09060897535943825, 0.16378397043860918, -0.026558220850737207, 0.21308558751011983, -0.13863284322100558, 0.1339133608188214, 0.0949472893678051, -0.023164625728635917, 0.12898613225635408, 0.12284533502991378, 0.14619084364078713, 0.16791413328818244, -0.03627571151446318, -0.07567541514124189, -0.41947741161233615, -0.20494320488069206, -0.09124628273587275, 0.12287540209113754, -0.0779435593492183, -0.1845384278609085, 0.41215832077432424, 0.07060998432903684, 0.21541103635016562, 0.10615820564271417, 0.2552912792723094, 0.11256257403095203, 0.02970243794594093, 0.06253333930674541, 0.11395281095922526, 0.18884408119733312, -0.03906783737433476, -0.13254018638690468, -0.0015454445258780783, 0.1172312895775706] |
711.0897 | On sets represented by partitions | We prove a lemma that is useful to get upper bounds for the number of
partitions without a given subsum. From this we can deduce an improved upper
bound for the number of sets represented by the (unrestricted or into unequal
parts) partitions of an integer n.
| math.CO | we prove a lemma that is useful to get upper bounds for the number of partitions without a given subsum from this we can deduce an improved upper bound for the number of sets represented by the unrestricted or into unequal parts partitions of an integer n | [['we', 'prove', 'a', 'lemma', 'that', 'is', 'useful', 'to', 'get', 'upper', 'bounds', 'for', 'the', 'number', 'of', 'partitions', 'without', 'a', 'given', 'subsum', 'from', 'this', 'we', 'can', 'deduce', 'an', 'improved', 'upper', 'bound', 'for', 'the', 'number', 'of', 'sets', 'represented', 'by', 'the', 'unrestricted', 'or', 'into', 'unequal', 'parts', 'partitions', 'of', 'an', 'integer', 'n']] | [-0.17458488282925905, 0.14829985929734787, -0.08764339291906738, 0.09116495295645709, -0.051056463390271714, -0.10820046528936067, 0.14060658723750014, 0.2502755541750725, -0.2681556144689626, -0.353827733496957, 0.09202769701864491, -0.25296814089264485, -0.06880273066579978, 0.25802848400409395, -0.0735203627833819, -0.003913366904561507, 0.034130026368384664, 0.10628672354319628, -0.038978963173886244, -0.28842516558026854, 0.2905721550292157, -0.04286116785667044, 0.179358354393155, 0.0828678566031158, 0.07130574927407693, 0.05032714079827704, -0.0001661508799867427, 0.030742862935554473, -0.14863157867372873, 0.16688190458065016, 0.24121473773204266, 0.17542066287863603, 0.254608470609689, -0.45125099291351245, -0.1118810687788782, 0.18497878222904623, 0.19663706493187458, 0.11138522401055757, -0.015946750289468254, -0.27655701565140106, 0.14522293148601942, -0.13726537107945758, -0.1475140680261749, -0.04136624787636894, 0.04929359076901319, 0.00027037004722242657, -0.3834889282254463, -0.01407073372776838, 0.13781447364686136, 0.03330664466348219, -0.05754717597936062, -0.22366080082398146, 0.008195624468808478, 0.14437607652507722, -0.026884605954500273, 0.0027858699037832148, 0.006497327089706, -0.10303826290777231, -0.11337923313035293, 0.2829230507796115, -0.03862856114481358, -0.2748031867469879, 0.09346576056819647, -0.10401333031304022, -0.14415238160600372, 0.10777048322748631, 0.17417444257026024, 0.10021192580461502, -0.0640821461268562, 0.10892851474358047, -0.17113884227310724, 0.18629574985738764, 0.12200020917473321, 0.05217699019951706, 0.16994920238218408, 0.06942118668651327, 0.16983605444708721, 0.2856123193781427, -0.023410773776630138, 0.009866621028235618, -0.29751376062631607, -0.1487680880434593, -0.23544917662845963, 0.0791874021475025, -0.17400292437919912, -0.1843441734263832, 0.304069077734776, 0.10715166539786027, 0.24335585502868004, 0.1540513378270763, 0.2780304467503695, 0.1754280231655278, 0.02735228005281471, 0.09517120205341502, 0.10495905131299763, 0.11550950285225631, -0.07081374260497854, -0.10741508499956987, 0.07556971431055919, 0.1837141790447083] |
711.0898 | Monomial bases related to the n! conjecture | The purpose of this paper is to find a new way to prove the $n!$ conjecture
for particular partitions. The idea is to construct a monomial and explicit
basis for the space $M_{\mu}$. We succeed completely for hook-shaped
partitions, i.e., $\mu=(K+1,1^L)$. We are able to exhibit a basis and to verify
that its cardinality is indeed $n!$, that it is linearly independent and that
it spans $M_{\mu}$. We derive from this study an explicit and simple basis for
$I_{\mu}$, the annihilator ideal of $\Delta_{\mu}$. This method is also
successful for giving directly a basis for the homogeneous subspace of
$M_{\mu}$ consisting of elements of 0 $x$-degree.
| math.CO | the purpose of this paper is to find a new way to prove the n conjecture for particular partitions the idea is to construct a monomial and explicit basis for the space m_mu we succeed completely for hookshaped partitions ie muk11l we are able to exhibit a basis and to verify that its cardinality is indeed n that it is linearly independent and that it spans m_mu we derive from this study an explicit and simple basis for i_mu the annihilator ideal of delta_mu this method is also successful for giving directly a basis for the homogeneous subspace of m_mu consisting of elements of 0 xdegree | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'find', 'a', 'new', 'way', 'to', 'prove', 'the', 'n', 'conjecture', 'for', 'particular', 'partitions', 'the', 'idea', 'is', 'to', 'construct', 'a', 'monomial', 'and', 'explicit', 'basis', 'for', 'the', 'space', 'm_mu', 'we', 'succeed', 'completely', 'for', 'hookshaped', 'partitions', 'ie', 'muk11l', 'we', 'are', 'able', 'to', 'exhibit', 'a', 'basis', 'and', 'to', 'verify', 'that', 'its', 'cardinality', 'is', 'indeed', 'n', 'that', 'it', 'is', 'linearly', 'independent', 'and', 'that', 'it', 'spans', 'm_mu', 'we', 'derive', 'from', 'this', 'study', 'an', 'explicit', 'and', 'simple', 'basis', 'for', 'i_mu', 'the', 'annihilator', 'ideal', 'of', 'delta_mu', 'this', 'method', 'is', 'also', 'successful', 'for', 'giving', 'directly', 'a', 'basis', 'for', 'the', 'homogeneous', 'subspace', 'of', 'm_mu', 'consisting', 'of', 'elements', 'of', '0', 'xdegree']] | [-0.1140323948026413, 0.12105977383589128, -0.0811682289022775, 0.03865634255510356, -0.074119677098601, -0.10461759602296211, 0.0330688134379064, 0.33841750369451584, -0.26327873833610543, -0.22517767164944893, 0.08440622679467889, -0.23246161494004938, -0.14233219145486753, 0.1953930399558019, -0.032903023435556816, 0.009348963260362369, 0.024906490121169814, 0.05589013019842761, -0.0590473242137315, -0.26349810787609645, 0.36402130825888546, 0.0291612923322689, 0.22861153674311935, 0.020951981414552956, 0.13344341400301174, -0.025697055661917798, 0.002717226854569855, -0.01469465357589624, -0.15097932375494913, 0.15875752268004276, 0.26424634372372, 0.15863188018716062, 0.21769638426956675, -0.34275693408923136, -0.09711635274413441, 0.16123757616261997, 0.15776104953228717, 0.09681441625136705, -0.026682715882946337, -0.17917209210849944, 0.153967478226072, -0.18000069969233923, -0.19299034698910655, -0.12371861829998948, 0.10421434992126057, -0.01303211015848709, -0.37338508080158916, 0.00018411599559753778, 0.07696810627267474, 0.03868846743411961, -0.031072067288637515, -0.11695307433782588, 0.0150435809489517, 0.10073520989112911, -0.021118124674207397, 0.053027730290999726, 0.011413359296108995, -0.062451820448040964, -0.06592959095502184, 0.3805220475509053, -0.030223469127668066, -0.22230816258206254, 0.13374497301521757, -0.12945487968667987, -0.14253962072322057, 0.08656620444463832, 0.10225586243683384, 0.12794662423077083, -0.11593014090100215, 0.13729093963768155, -0.14247702233315934, 0.14812558437032358, 0.04362490649468132, 0.033479359750414175, 0.14344359395049866, 0.12570639334042513, 0.10528146495953912, 0.1574599118371095, -0.008744276337148178, -0.0046741212407747906, -0.3384750788942689, -0.22976211526298096, -0.18744022836908697, 0.08185849101947887, -0.06843585792230442, -0.1864085105846503, 0.3896132771768385, 0.1530732807681142, 0.21814542856244815, 0.12669015986224016, 0.2376862932262676, 0.10335315391421318, 0.02095019529529271, 0.0694610220056867, 0.17198191767647153, 0.13222978604247881, -0.00845018271356821, -0.15934082379653342, 0.0247352871467315, 0.1324486995869804] |
711.0899 | Bases explicites et conjecture n! | The aim of this work is to construct a monomial and explicit basis for the
space $M_{\mu}$ relative to the $n!$ conjecture. We succeed completely for
hook-shaped partitions, i.e. $\mu=(K+1,1^L)$. We are indeed able to exhibit a
basis and to verify that its cardinality is $n!$, that it is linearly
independent and that it spans $M_{\mu}$. We deduce from this study an explicit
and simple basis for $I_{\mu}$, the annulator ideal of $\Delta_{\mu}$. This
method is also successful for giving directly a basis for the homogeneous
subspace of $M_{\mu}$ consisting of elements of 0 $x$-degree.
| math.CO | the aim of this work is to construct a monomial and explicit basis for the space m_mu relative to the n conjecture we succeed completely for hookshaped partitions ie muk11l we are indeed able to exhibit a basis and to verify that its cardinality is n that it is linearly independent and that it spans m_mu we deduce from this study an explicit and simple basis for i_mu the annulator ideal of delta_mu this method is also successful for giving directly a basis for the homogeneous subspace of m_mu consisting of elements of 0 xdegree | [['the', 'aim', 'of', 'this', 'work', 'is', 'to', 'construct', 'a', 'monomial', 'and', 'explicit', 'basis', 'for', 'the', 'space', 'm_mu', 'relative', 'to', 'the', 'n', 'conjecture', 'we', 'succeed', 'completely', 'for', 'hookshaped', 'partitions', 'ie', 'muk11l', 'we', 'are', 'indeed', 'able', 'to', 'exhibit', 'a', 'basis', 'and', 'to', 'verify', 'that', 'its', 'cardinality', 'is', 'n', 'that', 'it', 'is', 'linearly', 'independent', 'and', 'that', 'it', 'spans', 'm_mu', 'we', 'deduce', 'from', 'this', 'study', 'an', 'explicit', 'and', 'simple', 'basis', 'for', 'i_mu', 'the', 'annulator', 'ideal', 'of', 'delta_mu', 'this', 'method', 'is', 'also', 'successful', 'for', 'giving', 'directly', 'a', 'basis', 'for', 'the', 'homogeneous', 'subspace', 'of', 'm_mu', 'consisting', 'of', 'elements', 'of', '0', 'xdegree']] | [-0.10827595464164211, 0.13002879373865048, -0.07699881243689727, 0.03177260869478066, -0.060046971892006695, -0.10339556188793272, 0.037489121208988854, 0.34599397719527286, -0.25699498391740266, -0.22347912249926438, 0.08911385021788339, -0.23918071354899595, -0.13113091658720727, 0.19852867509458735, -0.02473816326543969, 0.012957247421621115, 0.018395162546776877, 0.058213065964199846, -0.0634216140863055, -0.2665262721198541, 0.35690842476743523, 0.0388017314416106, 0.21909155495594987, 0.017367086981633497, 0.13038754730575508, -0.0249145485157828, 0.0005915678727130095, -0.0064143438335953745, -0.15203747130116455, 0.16376001348278374, 0.2570407612609767, 0.1597779613489414, 0.21004801640106785, -0.33975732839235695, -0.09676207327884773, 0.15747000224718083, 0.1477117263812131, 0.08930167866249879, -0.005750162488472979, -0.17820690946793685, 0.14887568242697707, -0.17781029324114864, -0.1885031940896184, -0.12265569620555447, 0.10383505414250077, -0.008990658105411116, -0.3621800657742286, 0.013228346405598406, 0.08013221086542716, 0.04547702039401698, -0.03977208660279591, -0.12102306254648713, 0.00426343751330209, 0.11429320002395299, -0.011148787333920438, 0.06067446335118704, 0.015315077608070706, -0.06408566912706261, -0.060590180968965894, 0.3784004312849814, -0.043381237555094945, -0.21701277770422478, 0.1465021736559368, -0.12915675056176962, -0.13216164067728065, 0.10444803344666638, 0.10781123055525685, 0.13091883960590567, -0.098086415499609, 0.13755010284974128, -0.13678276514814747, 0.15463759676523267, 0.044932445616371205, 0.030862060951329366, 0.13250884626020668, 0.11973298799687175, 0.09415489830757662, 0.1356392647189799, -0.0019333629608554866, -0.0039034040885106208, -0.3386260928606154, -0.22041329405500845, -0.19513878702456433, 0.09206619145729208, -0.07203113076700178, -0.1785644500651547, 0.38866983850296305, 0.1489738971019985, 0.22859187161810296, 0.10680962239782657, 0.23573497643754368, 0.09795523430871707, 0.019750287911544245, 0.06294738517333102, 0.1798965308855298, 0.13453920938134675, -0.011804117901270748, -0.18011945449516817, 0.02562836898610957, 0.11671878559695135] |
711.09 | On certain spaces of lattice diagram polynomials | The aim of this work is to study some lattice diagram determinants
$\Delta_L(X,Y)$. We recall that $M_L$ denotes the space of all partial
derivatives of $\Delta_L$. In this paper, we want to study the space
$M^k_{i,j}(X,Y)$ which is defined as the sum of $M_L$ spaces where the lattice
diagrams $L$ are obtained by removing $k$ cells from a given partition, these
cells being in the ``shadow'' of a given cell $(i,j)$ in a fixed Ferrers
diagram. We obtain an upper bound for the dimension of the resulting space
$M^k_{i,j}(X,Y)$, that we conjecture to be optimal. This dimension is a
multiple of $n!$ and thus we obtain a generalization of the $n!$ conjecture.
Moreover, these upper bounds associated to nice properties of some special
symmetric differential operators (the ``shift'' operators) allow us to
construct explicit bases in the case of one set of variables, i.e. for the
subspace $M^k_{i,j}(X)$ consisting of elements of 0 $Y$-degree.
| math.CO | the aim of this work is to study some lattice diagram determinants delta_lxy we recall that m_l denotes the space of all partial derivatives of delta_l in this paper we want to study the space mk_ijxy which is defined as the sum of m_l spaces where the lattice diagrams l are obtained by removing k cells from a given partition these cells being in the shadow of a given cell ij in a fixed ferrers diagram we obtain an upper bound for the dimension of the resulting space mk_ijxy that we conjecture to be optimal this dimension is a multiple of n and thus we obtain a generalization of the n conjecture moreover these upper bounds associated to nice properties of some special symmetric differential operators the shift operators allow us to construct explicit bases in the case of one set of variables ie for the subspace mk_ijx consisting of elements of 0 ydegree | [['the', 'aim', 'of', 'this', 'work', 'is', 'to', 'study', 'some', 'lattice', 'diagram', 'determinants', 'delta_lxy', 'we', 'recall', 'that', 'm_l', 'denotes', 'the', 'space', 'of', 'all', 'partial', 'derivatives', 'of', 'delta_l', 'in', 'this', 'paper', 'we', 'want', 'to', 'study', 'the', 'space', 'mk_ijxy', 'which', 'is', 'defined', 'as', 'the', 'sum', 'of', 'm_l', 'spaces', 'where', 'the', 'lattice', 'diagrams', 'l', 'are', 'obtained', 'by', 'removing', 'k', 'cells', 'from', 'a', 'given', 'partition', 'these', 'cells', 'being', 'in', 'the', 'shadow', 'of', 'a', 'given', 'cell', 'ij', 'in', 'a', 'fixed', 'ferrers', 'diagram', 'we', 'obtain', 'an', 'upper', 'bound', 'for', 'the', 'dimension', 'of', 'the', 'resulting', 'space', 'mk_ijxy', 'that', 'we', 'conjecture', 'to', 'be', 'optimal', 'this', 'dimension', 'is', 'a', 'multiple', 'of', 'n', 'and', 'thus', 'we', 'obtain', 'a', 'generalization', 'of', 'the', 'n', 'conjecture', 'moreover', 'these', 'upper', 'bounds', 'associated', 'to', 'nice', 'properties', 'of', 'some', 'special', 'symmetric', 'differential', 'operators', 'the', 'shift', 'operators', 'allow', 'us', 'to', 'construct', 'explicit', 'bases', 'in', 'the', 'case', 'of', 'one', 'set', 'of', 'variables', 'ie', 'for', 'the', 'subspace', 'mk_ijx', 'consisting', 'of', 'elements', 'of', '0', 'ydegree']] | [-0.16723900234424754, 0.12009426357010518, -0.03489835791314315, 0.048213852476788145, -0.06589230702803961, -0.08061615063036841, 0.0930104478994556, 0.3217618767980878, -0.26184060998983977, -0.24184846595591425, 0.10743619999419407, -0.27369682437672865, -0.15623017178088622, 0.15359238731233696, -0.07787462715503735, -0.0021870643464162163, 0.01150278531407055, 0.08235207504721505, -0.10886792237196412, -0.2937877676449716, 0.3621134891995768, -0.02648677798539498, 0.17761760006358504, 0.011673326622449645, 0.08621150745679379, -0.00459583159719937, -0.01669609695895097, 0.005087723863030796, -0.1973164594142681, 0.17686670278137745, 0.23485202546917686, 0.11947776183890375, 0.2081483366935955, -0.3490165297101301, -0.1358261863160327, 0.1732258223315799, 0.15463582076757265, 0.05781856035479761, 0.027643192381794125, -0.21943108119701624, 0.11367260022272699, -0.14580206564891054, -0.16922719593429447, -0.060623665968274794, 0.03898521211445577, 0.0013786190324217866, -0.3166251598562978, 0.0021610436011350862, 0.08213967961063118, 0.04677189118697961, -0.05468779358871918, -0.15917511556089217, -0.028438930606506273, 0.14995541935939782, -0.0031620565921337785, 0.03876964832766374, 0.027864731958528097, -0.09772569079436116, -0.09816783107817173, 0.3593196582024623, -0.04775452009849496, -0.23433558387975945, 0.10421763156773522, -0.20152047396282127, -0.14006255284000776, 0.09866619903033624, 0.15620653884865246, 0.14543404560045978, -0.10527066657270648, 0.1474994479086538, -0.12595257668841728, 0.12267374380577453, 0.11305542995136134, 0.06964337895317983, 0.13222355494814875, 0.10441574095028427, 0.10451504501122001, 0.1666642353176078, -0.03217589649131313, -0.06137270252120767, -0.3397407552911318, -0.20272670620569874, -0.17442262038897943, 0.07157577625261374, -0.11183863688548674, -0.1970247108279421, 0.36475264272762853, 0.10633249478384019, 0.26251495545052184, 0.0794205055702294, 0.22845208609329634, 0.12360168910153764, 0.03901104712981338, 0.04007912540845083, 0.1324504022766058, 0.16258896743468204, 0.020638374103184202, -0.1955004751300868, 0.00424245728859923, 0.1650824113503883] |
711.0901 | A Route to Robust Double Pulse Excitability in Optically Injected
Semiconductor Lasers | We present and analyse a three-dimensional model for a quantum dot
semiconductor laser with optical injection. This model describes recent
experimental single and double excitable intensity pulses, which are related to
a central saddle-node homoclinic bifurcation as in the Adler equation. Double
pulses are related to a period doubling bifurcation and occur on the same
homoclinic curve as single pulses. The bifurcation scenario consolidating
single and double excitable pulses is described in detail.
| nlin.CD | we present and analyse a threedimensional model for a quantum dot semiconductor laser with optical injection this model describes recent experimental single and double excitable intensity pulses which are related to a central saddlenode homoclinic bifurcation as in the adler equation double pulses are related to a period doubling bifurcation and occur on the same homoclinic curve as single pulses the bifurcation scenario consolidating single and double excitable pulses is described in detail | [['we', 'present', 'and', 'analyse', 'a', 'threedimensional', 'model', 'for', 'a', 'quantum', 'dot', 'semiconductor', 'laser', 'with', 'optical', 'injection', 'this', 'model', 'describes', 'recent', 'experimental', 'single', 'and', 'double', 'excitable', 'intensity', 'pulses', 'which', 'are', 'related', 'to', 'a', 'central', 'saddlenode', 'homoclinic', 'bifurcation', 'as', 'in', 'the', 'adler', 'equation', 'double', 'pulses', 'are', 'related', 'to', 'a', 'period', 'doubling', 'bifurcation', 'and', 'occur', 'on', 'the', 'same', 'homoclinic', 'curve', 'as', 'single', 'pulses', 'the', 'bifurcation', 'scenario', 'consolidating', 'single', 'and', 'double', 'excitable', 'pulses', 'is', 'described', 'in', 'detail']] | [-0.23247006448138863, 0.1481837530377997, -0.05624324056536776, 0.0740688697830455, -0.014707192906165777, -0.23532505139504392, 0.0742345126154386, 0.37752211139830827, -0.2608354343994431, -0.21887962762521554, 0.05272856806660046, -0.27831233678104944, -0.18014380519520745, 0.2735266335857139, -0.06233719248988041, 0.08400072124212572, 0.0721808142437, 0.013977756494120376, 0.020418249574579196, -0.12320654749972364, 0.2736793843493478, -0.013753958526450172, 0.24919658344341059, -0.04997497229926186, 0.06979864035822349, -0.012741708738907967, 0.07168863361744426, -0.10304188762778697, -0.1397338719553735, 0.003945574929861174, 0.22279486613832925, -0.007900897679812186, 0.1846361905655326, -0.43256293397958145, -0.2660653427090139, 0.0672131711872269, 0.20178604137458622, 0.14463423376692433, -0.06686934501679027, -0.2866438256117375, 0.026360674684688654, -0.1608779656267023, -0.1646717967695161, -0.03420967882983897, 0.008527819660479484, 0.13306285267415113, -0.22186833010246493, 0.05737560721790443, 0.022323233821773775, 0.08222188189472646, -0.027900538467865898, 0.06161335156592604, -0.07050114663713293, 0.06489166894238697, -0.01786364357892985, 0.0680046821178945, 0.14614702087559112, -0.08795341621918527, -0.1769642534933678, 0.324793898755659, -0.0685556389085234, -0.1069193210625026, 0.14675167968420133, -0.19980389432190623, -0.08829984145417605, 0.1547575088517664, 0.12373323414525757, 0.09782334922315324, -0.131420306504181, 0.014040220863834081, -0.027658450072758817, 0.1635710197462611, 0.14986145002639864, -0.012464306342785489, 0.22842043620368388, 0.24687276857152377, -0.0028257621930631465, 0.1714468498089134, -0.10770804808500593, -0.18068997873222992, -0.31640690149203554, -0.05628533631703523, -0.09181352383265756, 0.10388049594292494, -0.037223080740061476, -0.21297074206275482, 0.49868921552823015, 0.04829232603923915, 0.19695467679212764, -0.04874541949678519, 0.2848415520705589, 0.1961829445918078, 0.013537005157160496, -0.013139597261452104, 0.2454264232608145, 0.18495634944522626, 0.14814819790397402, -0.23937352638921305, -0.02148578305607534, 0.06677745336232936] |
711.0902 | On certain spaces of lattice diagram determinants | The aim of this work is to study some lattice diagram polynomials
$\Delta_D(X,Y)$. We recall that $M_D$ denotes the space of all partial
derivatives of $\Delta_D$. In this paper, we want to study the space
$M^k_{i,j}(X,Y)$ which is the sum of $M_D$ spaces where the lattice diagrams
$D$ are obtained by removing $k$ cells from a given partition, these cells
being in the ``shadow'' of a given cell $(i,j)$ of the Ferrers diagram. We
obtain an upper bound for the dimension of the resulting space
$M^k_{i,j}(X,Y)$, that we conjecture to be optimal. These upper bounds allow us
to construct explicit bases for the subspace $M^k_{i,j}(X)$ consisting of
elements of 0 $Y$-degree.
| math.CO | the aim of this work is to study some lattice diagram polynomials delta_dxy we recall that m_d denotes the space of all partial derivatives of delta_d in this paper we want to study the space mk_ijxy which is the sum of m_d spaces where the lattice diagrams d are obtained by removing k cells from a given partition these cells being in the shadow of a given cell ij of the ferrers diagram we obtain an upper bound for the dimension of the resulting space mk_ijxy that we conjecture to be optimal these upper bounds allow us to construct explicit bases for the subspace mk_ijx consisting of elements of 0 ydegree | [['the', 'aim', 'of', 'this', 'work', 'is', 'to', 'study', 'some', 'lattice', 'diagram', 'polynomials', 'delta_dxy', 'we', 'recall', 'that', 'm_d', 'denotes', 'the', 'space', 'of', 'all', 'partial', 'derivatives', 'of', 'delta_d', 'in', 'this', 'paper', 'we', 'want', 'to', 'study', 'the', 'space', 'mk_ijxy', 'which', 'is', 'the', 'sum', 'of', 'm_d', 'spaces', 'where', 'the', 'lattice', 'diagrams', 'd', 'are', 'obtained', 'by', 'removing', 'k', 'cells', 'from', 'a', 'given', 'partition', 'these', 'cells', 'being', 'in', 'the', 'shadow', 'of', 'a', 'given', 'cell', 'ij', 'of', 'the', 'ferrers', 'diagram', 'we', 'obtain', 'an', 'upper', 'bound', 'for', 'the', 'dimension', 'of', 'the', 'resulting', 'space', 'mk_ijxy', 'that', 'we', 'conjecture', 'to', 'be', 'optimal', 'these', 'upper', 'bounds', 'allow', 'us', 'to', 'construct', 'explicit', 'bases', 'for', 'the', 'subspace', 'mk_ijx', 'consisting', 'of', 'elements', 'of', '0', 'ydegree']] | [-0.15775200656247795, 0.13467236520167666, -0.0391817433896278, 0.02725159433678886, -0.06881956721937985, -0.06553486787602988, 0.11244677599634839, 0.33377159591080674, -0.259123461555963, -0.23916169538786378, 0.10819883816106536, -0.27581460790392526, -0.16110039017496441, 0.14603125958472762, -0.0784019450037612, -0.009189660404595214, 0.009164467394146898, 0.06590780653187646, -0.1044555143495902, -0.30369032140171853, 0.3534419881778026, -0.025101811988193782, 0.16609528611217617, 0.010942411309945475, 0.07784780703587543, -0.028221319788434635, -0.014143053652107749, -0.016041862710812684, -0.2534200043270392, 0.19109755964232011, 0.23207871914935221, 0.1364500343974748, 0.17374457185660755, -0.3474301311930795, -0.12439728844611811, 0.17961319650463556, 0.16206031763037548, 0.05212879324771908, 0.039475015996861346, -0.21937538030634232, 0.11871723713216568, -0.13629690095474686, -0.15080038520909095, -0.06804487772644796, 0.03416240400070786, -0.01635103080626748, -0.32353856920030294, 0.002775000275856038, 0.06362821720967736, 0.04718923202604739, -0.05510725613486944, -0.1727225225794753, -0.013512116617634209, 0.15998538612887914, -0.012870845226827292, 0.0652206490166622, 0.03195040635850041, -0.10065944172407783, -0.09438841347369033, 0.36418247190859476, -0.030724872751674112, -0.22640063494033769, 0.09850928658585346, -0.21333149533906798, -0.12818639293107964, 0.11656048277034126, 0.15343578464411403, 0.13143601089100773, -0.11124891258878719, 0.14527488692979748, -0.1282204461044743, 0.12027601059633009, 0.11438166001948331, 0.053642504425599764, 0.14927804294050834, 0.11452051483889307, 0.09690877344083348, 0.16951282577772855, -0.05261167953188164, -0.048310594105080554, -0.339935296565431, -0.20266567280680506, -0.18331327347977752, 0.05616636628097077, -0.12690655600814654, -0.1906444747289301, 0.36073776683556513, 0.1203307821351283, 0.2516686922126693, 0.07839715105818944, 0.23222674169671645, 0.10379315060221615, 0.02254722048656656, 0.05707372048305809, 0.1491849616401158, 0.14801586960408186, 0.0050590008052937485, -0.19824202416609937, 0.004246843968082322, 0.1806175730814901] |
711.0903 | A Possible New Distance Indicator -Correlation between the duration and
the X-ray luminosity of the shallow decay phase of Gamma Ray Bursts- | We investigated the characteristics of the shallow decay phase in the early
Xray afterglows of GRBs observed by Swift X-Ray Telescope (XRT) during the
period of January 2005 to December 2006. We found that the intrinsic break time
at the shallow-to-normal decay transition in the X-ray light curve Tbrk^0 is
moderately well correlated with the isotropic X-ray luminosity in the end of
the shallow decay phase (LX,end) as Tbrk^0 = (9.39+/-0.64)*10^3s(LX,end/10^47
ergs/s)^(-0.71+/-0.03), while Tbrk^0 is weakly correlated with the isotropic
gamma-ray energy of the prompt emission Egamma,iso. Using Tbrk^0 - LX,end
relation we have determined the pseudo redshifts of 33 GRBs. We compared the
pseudo redshifts of 11 GRBs with measured redshifts and found the rms error to
be 0.17 in log z. From this pseudo redshift, we estimate that ~15% of the Swift
GRBs have z > 5. The advantages of this distance indicator is that (1) it
requires only X-ray afterglow data while other methods such as Amati and
Yonetoku correlations require the peak energy (Ep) of the prompt emission, (2)
the redshift is uniquely determined without redshift degeneracies unlike the
Amati correlation, and (3) the redshift is estimated in advance of deep
follow-ups so that possible high redshift GRBs might be selected for detailed
observations.
| astro-ph | we investigated the characteristics of the shallow decay phase in the early xray afterglows of grbs observed by swift xray telescope xrt during the period of january 2005 to december 2006 we found that the intrinsic break time at the shallowtonormal decay transition in the xray light curve tbrk0 is moderately well correlated with the isotropic xray luminosity in the end of the shallow decay phase lxend as tbrk0 939064103slxend1047 ergss071003 while tbrk0 is weakly correlated with the isotropic gammaray energy of the prompt emission egammaiso using tbrk0 lxend relation we have determined the pseudo redshifts of 33 grbs we compared the pseudo redshifts of 11 grbs with measured redshifts and found the rms error to be 017 in log z from this pseudo redshift we estimate that 15 of the swift grbs have z 5 the advantages of this distance indicator is that 1 it requires only xray afterglow data while other methods such as amati and yonetoku correlations require the peak energy ep of the prompt emission 2 the redshift is uniquely determined without redshift degeneracies unlike the amati correlation and 3 the redshift is estimated in advance of deep followups so that possible high redshift grbs might be selected for detailed observations | [['we', 'investigated', 'the', 'characteristics', 'of', 'the', 'shallow', 'decay', 'phase', 'in', 'the', 'early', 'xray', 'afterglows', 'of', 'grbs', 'observed', 'by', 'swift', 'xray', 'telescope', 'xrt', 'during', 'the', 'period', 'of', 'january', '2005', 'to', 'december', '2006', 'we', 'found', 'that', 'the', 'intrinsic', 'break', 'time', 'at', 'the', 'shallowtonormal', 'decay', 'transition', 'in', 'the', 'xray', 'light', 'curve', 'tbrk0', 'is', 'moderately', 'well', 'correlated', 'with', 'the', 'isotropic', 'xray', 'luminosity', 'in', 'the', 'end', 'of', 'the', 'shallow', 'decay', 'phase', 'lxend', 'as', 'tbrk0', '939064103slxend1047', 'ergss071003', 'while', 'tbrk0', 'is', 'weakly', 'correlated', 'with', 'the', 'isotropic', 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'followups', 'so', 'that', 'possible', 'high', 'redshift', 'grbs', 'might', 'be', 'selected', 'for', 'detailed', 'observations']] | [-0.03377943750238046, 0.17309269197256072, -0.07547727271681652, 0.19444300658011343, -0.09084723983425647, -0.11524649777449668, 0.05964262851397507, 0.48848860010504724, -0.1746360896975966, -0.3440977994911373, 0.048123567595030184, -0.3667620749329217, -0.011802771339716855, 0.21180475076194852, 0.023451588784810157, 0.038661333268973974, 0.057981357630924324, -0.08819963499438017, -0.10475733566498092, -0.2846204505499918, 0.2533530921395868, 0.11631712797898217, 0.220146433187183, -0.02818871446652338, 0.08611115110630635, -0.022801217033702414, -0.07440446107721073, -0.04803977135103196, -0.13843273205988227, -0.009326083484920674, 0.2470594481367152, 0.10878981869318523, 0.17635343488131183, -0.28987442364916205, -0.21546507602615747, 0.11947800390073099, 0.14215101849520578, -0.019152766365441495, -0.00900842622446362, -0.2883048446034081, 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711.0904 | A continuous spectrum for nonhomogeneous differential operators in
Orlicz-Sobolev spaces | We study the nonlinear eigenvalue problem $-{\rm div}(a(|\nabla u|)\nabla
u)=\lambda|u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$
is a bounded open set in $\RR^N$ with smooth boundary, $q$ is a continuous
function, and $a$ is a nonhomogeneous potential. We establish sufficient
conditions on $a$ and $q$ such that the above nonhomogeneous quasilinear
problem has continuous families of eigenvalues. The proofs rely on elementary
variational arguments. The abstract results of this paper are illustrated by
the cases $a(t)=t^{p-2}\log (1+t^r)$ and $a(t)= t^{p-2} [\log (1+t)]^{-1}$.
| math.AP | we study the nonlinear eigenvalue problem rm divanabla unabla ulambdauqx2u in omega u0 on partialomega where omega is a bounded open set in rrn with smooth boundary q is a continuous function and a is a nonhomogeneous potential we establish sufficient conditions on a and q such that the above nonhomogeneous quasilinear problem has continuous families of eigenvalues the proofs rely on elementary variational arguments the abstract results of this paper are illustrated by the cases attp2log 1tr and at tp2 log 1t1 | [['we', 'study', 'the', 'nonlinear', 'eigenvalue', 'problem', 'rm', 'divanabla', 'unabla', 'ulambdauqx2u', 'in', 'omega', 'u0', 'on', 'partialomega', 'where', 'omega', 'is', 'a', 'bounded', 'open', 'set', 'in', 'rrn', 'with', 'smooth', 'boundary', 'q', 'is', 'a', 'continuous', 'function', 'and', 'a', 'is', 'a', 'nonhomogeneous', 'potential', 'we', 'establish', 'sufficient', 'conditions', 'on', 'a', 'and', 'q', 'such', 'that', 'the', 'above', 'nonhomogeneous', 'quasilinear', 'problem', 'has', 'continuous', 'families', 'of', 'eigenvalues', 'the', 'proofs', 'rely', 'on', 'elementary', 'variational', 'arguments', 'the', 'abstract', 'results', 'of', 'this', 'paper', 'are', 'illustrated', 'by', 'the', 'cases', 'attp2log', '1tr', 'and', 'at', 'tp2', 'log', '1t1']] | [-0.17849784803838703, 0.06986416261061094, -0.046299042040482165, 0.048544342583045366, -0.09278189750330057, -0.14369229506119155, 0.01443549776013242, 0.33490400523878633, -0.27366815229761415, -0.18151845693355426, 0.1666042743861908, -0.3212946980143897, -0.11681640413662535, 0.19028126122138928, -0.08819633372477256, 0.10986343428958208, 0.03813798138871789, 0.08268262543715536, -0.07199809762823861, -0.18953219464747234, 0.40037484262138606, -0.15886540845967828, 0.18773157277610153, 0.12599343862384557, 0.09908864555181936, -0.031496877508470786, 0.06412739249353763, -0.02663096024900824, -0.26130293151118167, 0.08335184476163704, 0.25415727449581027, 0.05679346849792637, 0.3370657517691143, -0.37642800766043366, -0.1885209141881205, 0.1405525420792401, 0.12087220127577894, 0.002677861088886857, -0.012231189709564206, -0.30276448137592527, 0.11964593544835225, -0.051595061470288785, -0.15132063498895149, -0.025115021695091853, 0.046970746200531724, 0.06558497190417256, -0.3628946400946006, 0.12867168642114848, 0.12862559816567226, 0.07555467074271291, -0.11291059588766075, -0.12287616227986291, 0.0046849682010360995, -0.0015747206285595893, -0.007066202312125824, 0.09160580913012381, 0.039390130073297766, -0.07421677574457135, -0.043064132530707865, 0.34041048367507754, -0.05569208154920489, -0.2866429919144139, 0.15111200048704632, -0.1569667703472078, -0.14703942963969893, 0.056722527272359005, 0.1653279939549975, 0.18770604599267243, -0.10279633449390531, 0.2511293848954665, -0.11211445053777425, 0.16129082667612238, 0.09997333385399543, -0.042439561436185616, 0.05851285938406363, 0.15330077356193214, 0.14834319181536557, 0.13426585296692792, 0.024515770096331834, -0.04960497650317848, -0.3913206455297768, -0.10155874838819727, -0.19009310976834967, 0.11811463431222365, -0.07801974909907586, -0.18296223566867412, 0.3414307729806751, 0.050498819595668466, 0.21736689051613212, 0.08440409805625677, 0.2224735111463815, 0.19258869367859005, -0.048725153948180375, 0.09061181097640655, 0.0934949949325528, 0.14484067253652028, 0.10803028317750432, -0.20286089736036955, 0.021915107839595292, 0.10848207261933566] |
711.0905 | Ideals and quotients of B-quasisymmetric functions | The space $QSym_n(B)$ of $B$-quasisymmetric polynomials in 2 sets of $n$
variables was recently studied by Baumann and Hohlweg. The aim of this work is
a study of the ideal $<QSym_n(B)^+>$ generated by $B$-quasisymmetric
polynomials without constant term. In the case of the space $QSym_n$ of
quasisymmetric polynomials in 1 set of $n$ variables, Aval, Bergeron and
Bergeron proved that the dimension of the quotient of the space of polynomials
by the ideal $<QSym_n^+>$ is given by Catalan numbers $C_n=\frac 1 {n+1} {2n
\choose n}$. In the case of $B$-quasisymmetric polynomials, our main result is
that the dimension of the analogous quotient is equal to
$\frac{1}{2n+1}{3n\choose n}$, the numbers of ternary trees with $n$ nodes. The
construction of a Gr\"obner basis for the ideal, as well as of a linear basis
for the quotient are interpreted by a bijection with lattice paths. These
results are finally extended to $p$ sets of variables, and the dimension is in
this case $\frac{1}{pn+1}{(p+1)n\choose n}$, the numbers of $p$-ary trees with
$n$ nodes.
| math.CO | the space qsym_nb of bquasisymmetric polynomials in 2 sets of n variables was recently studied by baumann and hohlweg the aim of this work is a study of the ideal qsym_nb generated by bquasisymmetric polynomials without constant term in the case of the space qsym_n of quasisymmetric polynomials in 1 set of n variables aval bergeron and bergeron proved that the dimension of the quotient of the space of polynomials by the ideal qsym_n is given by catalan numbers c_nfrac 1 n1 2n choose n in the case of bquasisymmetric polynomials our main result is that the dimension of the analogous quotient is equal to frac12n13nchoose n the numbers of ternary trees with n nodes the construction of a grobner basis for the ideal as well as of a linear basis for the quotient are interpreted by a bijection with lattice paths these results are finally extended to p sets of variables and the dimension is in this case frac1pn1p1nchoose n the numbers of pary trees with n nodes | [['the', 'space', 'qsym_nb', 'of', 'bquasisymmetric', 'polynomials', 'in', '2', 'sets', 'of', 'n', 'variables', 'was', 'recently', 'studied', 'by', 'baumann', 'and', 'hohlweg', 'the', 'aim', 'of', 'this', 'work', 'is', 'a', 'study', 'of', 'the', 'ideal', 'qsym_nb', 'generated', 'by', 'bquasisymmetric', 'polynomials', 'without', 'constant', 'term', 'in', 'the', 'case', 'of', 'the', 'space', 'qsym_n', 'of', 'quasisymmetric', 'polynomials', 'in', '1', 'set', 'of', 'n', 'variables', 'aval', 'bergeron', 'and', 'bergeron', 'proved', 'that', 'the', 'dimension', 'of', 'the', 'quotient', 'of', 'the', 'space', 'of', 'polynomials', 'by', 'the', 'ideal', 'qsym_n', 'is', 'given', 'by', 'catalan', 'numbers', 'c_nfrac', '1', 'n1', '2n', 'choose', 'n', 'in', 'the', 'case', 'of', 'bquasisymmetric', 'polynomials', 'our', 'main', 'result', 'is', 'that', 'the', 'dimension', 'of', 'the', 'analogous', 'quotient', 'is', 'equal', 'to', 'frac12n13nchoose', 'n', 'the', 'numbers', 'of', 'ternary', 'trees', 'with', 'n', 'nodes', 'the', 'construction', 'of', 'a', 'grobner', 'basis', 'for', 'the', 'ideal', 'as', 'well', 'as', 'of', 'a', 'linear', 'basis', 'for', 'the', 'quotient', 'are', 'interpreted', 'by', 'a', 'bijection', 'with', 'lattice', 'paths', 'these', 'results', 'are', 'finally', 'extended', 'to', 'p', 'sets', 'of', 'variables', 'and', 'the', 'dimension', 'is', 'in', 'this', 'case', 'frac1pn1p1nchoose', 'n', 'the', 'numbers', 'of', 'pary', 'trees', 'with', 'n', 'nodes']] | [-0.19126321400090315, 0.15804634188347852, -0.028747605858370662, 0.01855427853656749, -0.02561628923429475, -0.09513032018605125, 0.03526145915420335, 0.2660800781342442, -0.29536771398026174, -0.2573655345247208, 0.08129488057557517, -0.27146060580824627, -0.15312297682904488, 0.1740957788007771, -0.0656457844975025, 0.03979418556389893, 0.014014356341327966, 0.07332013775077131, -0.030528421867293893, -0.3530400289024261, 0.37912782353143687, 0.03191204000850795, 0.17724122626729955, -0.049161128547433534, 0.0845659559385644, 0.00676762470745562, -0.04005312823807608, 0.004443351796829647, -0.13132669985120796, 0.1148445948018451, 0.276499892708581, 0.13134493802840833, 0.2299315252163114, -0.3435980353021511, -0.12588972297269294, 0.15597685811937684, 0.15023536034457294, 0.013923933913494333, 0.03169918590926646, -0.21162757868619841, 0.089512646599169, -0.1410153824088658, -0.18654137831411244, -0.036153309139204615, 0.11045880868663023, 0.07383481429654093, -0.3115044069752373, -0.010076759906232725, 0.1280668260807022, 0.10949330968943274, 0.005389835373613478, -0.1813048076669306, -0.044702084977927124, 0.06081406414339227, -0.012470006671113273, 0.07694129787391213, -0.005014153608454414, -0.08491865288822648, -0.1671054976026493, 0.37208895207336745, -0.011974109999654401, -0.2387542108786695, 0.11741582943661208, -0.17916145958408805, -0.13506697620880317, 0.09669890017018734, 0.0847671968218537, 0.14904541432581567, -0.038048602676379814, 0.18257378819750703, -0.16101947325615235, 0.09784462481426696, 0.14251858264460793, -0.004501925230911577, 0.09656283262266237, 0.09472254055184255, 0.032049561514415674, 0.19789695977894475, 0.005052873410606458, -0.02908638151029102, -0.30885474656904, -0.20407304941927354, -0.24717446762700507, 0.07667178240817409, -0.15288499244361223, -0.14177249788226168, 0.35512221328350774, 0.06167113574733383, 0.21581519518714445, 0.10372027588065391, 0.21091044288025135, 0.06314926761941608, 0.03694769148398651, 0.0536387596929009, 0.11076108601381197, 0.1979592571532308, 0.0017073599989583463, -0.15415861896515168, 0.026844627456739545, 0.20159178694859606] |
711.0906 | Multivariate Fuss-Catalan numbers | Catalan numbers $C(n)=\frac{1}{n+1}{2n\choose n}$ enumerate binary trees and
Dyck paths. The distribution of paths with respect to their number $k$ of
factors is given by ballot numbers $B(n,k)=\frac{n-k}{n+k}{n+k\choose n}$.
These integers are known to satisfy simple recurrence, which may be visualised
in a ``Catalan triangle'', a lower-triangular two-dimensional array. It is
surprising that the extension of this construction to 3 dimensions generates
integers $B_3(n,k,l)$ that give a 2-parameter distribution of $C_3(n)=\frac 1
{2n+1} {3n\choose n}$, which may be called order-3 Fuss-Catalan numbers, and
enumerate ternary trees. The aim of this paper is a study of these integers
$B_3(n,k,l)$. We obtain an explicit formula and a description in terms of trees
and paths. Finally, we extend our construction to $p$-dimensional arrays, and
in this case we obtain a $(p-1)$-parameter distribution of $C_p(n)=\frac 1
{(p-1)n+1} {pn\choose n}$, the number of $p$-ary trees.
| math.CO | catalan numbers cnfrac1n12nchoose n enumerate binary trees and dyck paths the distribution of paths with respect to their number k of factors is given by ballot numbers bnkfracnknknkchoose n these integers are known to satisfy simple recurrence which may be visualised in a catalan triangle a lowertriangular twodimensional array it is surprising that the extension of this construction to 3 dimensions generates integers b_3nkl that give a 2parameter distribution of c_3nfrac 1 2n1 3nchoose n which may be called order3 fusscatalan numbers and enumerate ternary trees the aim of this paper is a study of these integers b_3nkl we obtain an explicit formula and a description in terms of trees and paths finally we extend our construction to pdimensional arrays and in this case we obtain a p1parameter distribution of c_pnfrac 1 p1n1 pnchoose n the number of pary trees | [['catalan', 'numbers', 'cnfrac1n12nchoose', 'n', 'enumerate', 'binary', 'trees', 'and', 'dyck', 'paths', 'the', 'distribution', 'of', 'paths', 'with', 'respect', 'to', 'their', 'number', 'k', 'of', 'factors', 'is', 'given', 'by', 'ballot', 'numbers', 'bnkfracnknknkchoose', 'n', 'these', 'integers', 'are', 'known', 'to', 'satisfy', 'simple', 'recurrence', 'which', 'may', 'be', 'visualised', 'in', 'a', 'catalan', 'triangle', 'a', 'lowertriangular', 'twodimensional', 'array', 'it', 'is', 'surprising', 'that', 'the', 'extension', 'of', 'this', 'construction', 'to', '3', 'dimensions', 'generates', 'integers', 'b_3nkl', 'that', 'give', 'a', '2parameter', 'distribution', 'of', 'c_3nfrac', '1', '2n1', '3nchoose', 'n', 'which', 'may', 'be', 'called', 'order3', 'fusscatalan', 'numbers', 'and', 'enumerate', 'ternary', 'trees', 'the', 'aim', 'of', 'this', 'paper', 'is', 'a', 'study', 'of', 'these', 'integers', 'b_3nkl', 'we', 'obtain', 'an', 'explicit', 'formula', 'and', 'a', 'description', 'in', 'terms', 'of', 'trees', 'and', 'paths', 'finally', 'we', 'extend', 'our', 'construction', 'to', 'pdimensional', 'arrays', 'and', 'in', 'this', 'case', 'we', 'obtain', 'a', 'p1parameter', 'distribution', 'of', 'c_pnfrac', '1', 'p1n1', 'pnchoose', 'n', 'the', 'number', 'of', 'pary', 'trees']] | [-0.22081541116913836, 0.1850655603225415, -0.05193157228429548, 0.07456987657739471, -0.09292591290872995, -0.12259397519995797, 0.06299640139596621, 0.3191804467051318, -0.28455653147786064, -0.3098048589771762, 0.04803855755017139, -0.29643530990208755, -0.18403258974043032, 0.16480907183281626, -0.08027326766309809, 0.0019544857271036812, 0.047232606166014164, 0.0619183593697733, -0.025087485925971785, -0.3184234334692133, 0.2849392108418022, -0.0023091919385037863, 0.16973358961033888, -0.02179507194721902, 0.08180713961535896, 0.017862193924939318, -0.008408422317271206, 0.01600980149074034, -0.18361469231262384, 0.1335540767124092, 0.28250082815771527, 0.1557932518577824, 0.16886166410139677, -0.36487296020619175, -0.0965065368037551, 0.18794062634961764, 0.18639519621413483, 0.06463562347838006, -0.009795183901477492, -0.17721708060619704, 0.12345818610805454, -0.1598527164870492, -0.15577500052115117, -0.05752978020234767, 0.10089209088420664, 0.09481117363391219, -0.2983327291475496, -0.016896942429329185, 0.11983690110994785, 0.0482924494567807, 0.034724428078554796, -0.18579384548215647, 0.03043953200385934, 0.09045881363228105, -0.025185493704735894, 0.01931104701978973, -0.01281612743553, -0.05735925159057264, -0.1727190995730008, 0.3419009911418526, 0.033373456128615406, -0.24403844782235948, 0.11272834494328973, -0.1490316981428557, -0.1701666649367491, 0.12304783358492634, 0.13315396981532546, 0.16524780894432103, -0.0860065003984015, 0.09282279256722452, -0.16679614264461579, 0.13119591796544916, 0.18579536103149594, -0.00239365910194024, 0.18318803622175686, 0.07519200964915482, 0.05560622495514425, 0.21944555795264684, -0.01253393898492284, -0.03770424969226235, -0.2941050334607787, -0.1985838325084787, -0.20392482167032236, 0.10128676002337174, -0.14776735347428863, -0.23029519757255912, 0.3417933915642965, 0.1160164510735988, 0.23778272150869298, 0.19330854091094807, 0.19471355001301024, 0.06663975587104108, 0.039328857418502484, 0.03784706394512658, 0.02248814151001473, 0.19089759047545324, -0.019130903169174086, -0.11084339000411671, 0.028575042336755854, 0.16032177357313535] |
711.0907 | Precise Half-Life Measurement of the Superallowed beta emitter 10C | The half-life of 10C has been measured to be 19.310(4)s, a result with 0.02%
precision, which is a factor of three improvement over the best previous
result. Since 10C is the lightest superallowed 0+ --> 0+ beta emitter, its ft
value has the greatest weight in setting an upper limit on the possible
presence of scalar currents.
| nucl-ex | the halflife of 10c has been measured to be 193104s a result with 002 precision which is a factor of three improvement over the best previous result since 10c is the lightest superallowed 0 0 beta emitter its ft value has the greatest weight in setting an upper limit on the possible presence of scalar currents | [['the', 'halflife', 'of', '10c', 'has', 'been', 'measured', 'to', 'be', '193104s', 'a', 'result', 'with', '002', 'precision', 'which', 'is', 'a', 'factor', 'of', 'three', 'improvement', 'over', 'the', 'best', 'previous', 'result', 'since', '10c', 'is', 'the', 'lightest', 'superallowed', '0', '0', 'beta', 'emitter', 'its', 'ft', 'value', 'has', 'the', 'greatest', 'weight', 'in', 'setting', 'an', 'upper', 'limit', 'on', 'the', 'possible', 'presence', 'of', 'scalar', 'currents']] | [-0.08345859313214367, 0.1253920280059736, -0.04485199945047498, 0.007912415253337133, -0.014541949568824335, -0.12721973117440938, 0.07342785712416199, 0.31596939154392617, -0.1901545793495395, -0.31700987530533564, 0.0701149634403092, -0.3127670376815579, -0.0019637480716813696, 0.22131441181356257, 0.013462621676312252, 0.06923830553106117, 0.015472618253393607, 0.13310892471874303, -0.04009477309988473, -0.2584289476783438, 0.23606037344275552, 0.08830630958757617, 0.2220784454394809, 0.05858256578953429, 0.02959815514358607, -0.09835384128276597, 0.05729648315834559, -0.08808807773007588, -0.16068391300399196, 0.045120038752528756, 0.21304256189614534, 0.08021298058077016, 0.2502594502812082, -0.24790941998362542, -0.15582961591637948, 0.1816789001057094, 0.14842233740809288, 0.050940665177238935, 0.01949374468108131, -0.2818188731304624, 0.1015183701497418, -0.18660470709966664, -0.1621510078453205, 0.021081508609296924, 0.072135505317287, -0.05864442681724375, -0.2917996653101661, 0.0955534838394008, 0.024471773444251582, 0.02062959396227432, -0.05601364944172515, -0.28380106394602495, 0.040743722834370354, 0.09814694940366528, 0.14020905189046806, 0.1541808335406875, 0.131616520348259, -0.15401198782704092, -0.10612918077756396, 0.35065018419515004, -0.13256156266751615, -0.1405593969562853, 0.07743522931228984, -0.21426344894888727, -0.15076818417080423, 0.19800907309082422, 0.08164242203770714, 0.11684014387428761, -0.12105328679423441, 0.18434110939164053, -0.052055906131863595, 0.22586574012582952, 0.1236359078945084, 0.052112779338759456, 0.17388358624144035, 0.19939235873647373, 0.0732799757272005, 0.06029070027765225, -0.14791580473750152, -0.06207567844645713, -0.28758724802597, -0.15004960364577444, -0.15574969187886878, 0.1445746367966587, -0.08188114196739414, -0.10867971948940645, 0.36731496370312844, 0.05201756139709191, 0.1664193403653123, 0.0440020156653852, 0.25636903966184366, 0.1896384096619758, 0.06512813281310215, 0.01852892357856035, 0.34783982275561853, 0.18875111990015614, 0.03972967387896709, -0.18214852559295566, 0.08596144017858685, 0.024139655449173666] |
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