id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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708.4349 | Detecting unstable periodic spatio-temporal states of spatial extended
chaotic systems | The method of detection of the unstable periodic spatio-temporal states of
spatial extended chaotic systems has been proposed. The application of this
method is illustrated by the consideration of two different systems: i) the
fluid model of Pierce diode being one of the fundamental system of the physics
of plasmas and microwave electronics and ii) the complex one-dimensional
Ginzburg-Landau equation demonstrating different regimes of spatio-temporal
chaos.
| nlin.CD nlin.PS | the method of detection of the unstable periodic spatiotemporal states of spatial extended chaotic systems has been proposed the application of this method is illustrated by the consideration of two different systems i the fluid model of pierce diode being one of the fundamental system of the physics of plasmas and microwave electronics and ii the complex onedimensional ginzburglandau equation demonstrating different regimes of spatiotemporal chaos | [['the', 'method', 'of', 'detection', 'of', 'the', 'unstable', 'periodic', 'spatiotemporal', 'states', 'of', 'spatial', 'extended', 'chaotic', 'systems', 'has', 'been', 'proposed', 'the', 'application', 'of', 'this', 'method', 'is', 'illustrated', 'by', 'the', 'consideration', 'of', 'two', 'different', 'systems', 'i', 'the', 'fluid', 'model', 'of', 'pierce', 'diode', 'being', 'one', 'of', 'the', 'fundamental', 'system', 'of', 'the', 'physics', 'of', 'plasmas', 'and', 'microwave', 'electronics', 'and', 'ii', 'the', 'complex', 'onedimensional', 'ginzburglandau', 'equation', 'demonstrating', 'different', 'regimes', 'of', 'spatiotemporal', 'chaos']] | [-0.18000345442895638, 0.11225832760277571, -0.08710363154497111, 0.016682363566801403, 0.01867373874693206, -0.19041010085493326, -0.03620278022153246, 0.2815927786921913, -0.2617727217730135, -0.2671191223022161, 0.0907754619944502, -0.2262799958517655, -0.17044876092536884, 0.23081909265072847, 0.007907312074111718, 0.11444475180487092, 0.011494602337761811, -0.0149101295727164, 0.0041066905991597605, -0.1894850201982384, 0.3405944882807406, 0.020395692988214167, 0.32812095418304316, -0.004393247294832359, 0.14431639415014422, -0.06884533410652005, -0.03257533111768267, -0.0013518482376115792, -0.08561793975814273, 0.1362040897744891, 0.20179163342849774, 0.08504830748301395, 0.26926746933410567, -0.43661284314073395, -0.32132414172431734, 0.049301418461695765, 0.15686597014692696, 0.11363291805327842, -0.013042991221123939, -0.35496826537630777, 0.036399231518082546, -0.1699950566910433, -0.15939848245629532, -0.041007970523258504, 0.02585622998462482, 0.09134769528596239, -0.2127908534285697, 0.0842420039063489, 0.10024936631265463, 0.07577076901427725, -0.07496498660607771, -0.04181672242350143, -0.040789149800371946, 0.08299082070306847, 0.0003796486328638187, -0.06343676415836495, 0.12300457121014144, -0.13239734328817576, -0.12549968264206793, 0.3767892748794772, -0.025966101393075376, -0.1574261927497432, 0.2620995618671066, -0.1567637334069745, -0.0702569570434703, 0.14821952407840977, 0.1676909844391048, 0.11093862867688364, -0.15502085265788165, 0.10731025437196491, -0.026298282484552175, 0.13407593870061013, 0.04660888470596436, 0.020241762116325623, 0.21024659479559032, 0.26151034782047977, 0.008237037102155613, 0.13686286281286317, -0.09876450294078412, -0.1373931943495391, -0.2708087680917798, -0.14013316013645663, -0.1820532661354677, -0.013069116383452307, -0.08692280485278885, -0.17698737073012374, 0.47923961597861664, 0.18144264599929252, 0.11066550660215205, -0.08638188933643202, 0.31029635035630426, 0.1554620204401682, -0.011403366260117653, -0.013880267210135406, 0.23262040832460942, 0.16631475354326097, 0.141565975496743, -0.2675050368433762, -0.008842622212162523, 0.05954305407111392] |
708.435 | Random-set methods identify distinct aspects of the enrichment signal in
gene-set analysis | A prespecified set of genes may be enriched, to varying degrees, for genes
that have altered expression levels relative to two or more states of a cell.
Knowing the enrichment of gene sets defined by functional categories, such as
gene ontology (GO) annotations, is valuable for analyzing the biological
signals in microarray expression data. A common approach to measuring
enrichment is by cross-classifying genes according to membership in a
functional category and membership on a selected list of significantly altered
genes. A small Fisher's exact test $p$-value, for example, in this $2\times2$
table is indicative of enrichment. Other category analysis methods retain the
quantitative gene-level scores and measure significance by referring a
category-level statistic to a permutation distribution associated with the
original differential expression problem. We describe a class of random-set
scoring methods that measure distinct components of the enrichment signal. The
class includes Fisher's test based on selected genes and also tests that
average gene-level evidence across the category. Averaging and selection
methods are compared empirically using Affymetrix data on expression in
nasopharyngeal cancer tissue, and theoretically using a location model of
differential expression. We find that each method has a domain of superiority
in the state space of enrichment problems, and that both methods have benefits
in practice. Our analysis also addresses two problems related to
multiple-category inference, namely, that equally enriched categories are not
detected with equal probability if they are of different sizes, and also that
there is dependence among category statistics owing to shared genes. Random-set
enrichment calculations do not require Monte Carlo for implementation. They are
made available in the R package allez.
| stat.AP | a prespecified set of genes may be enriched to varying degrees for genes that have altered expression levels relative to two or more states of a cell knowing the enrichment of gene sets defined by functional categories such as gene ontology go annotations is valuable for analyzing the biological signals in microarray expression data a common approach to measuring enrichment is by crossclassifying genes according to membership in a functional category and membership on a selected list of significantly altered genes a small fishers exact test pvalue for example in this 2times2 table is indicative of enrichment other category analysis methods retain the quantitative genelevel scores and measure significance by referring a categorylevel statistic to a permutation distribution associated with the original differential expression problem we describe a class of randomset scoring methods that measure distinct components of the enrichment signal the class includes fishers test based on selected genes and also tests that average genelevel evidence across the category averaging and selection methods are compared empirically using affymetrix data on expression in nasopharyngeal cancer tissue and theoretically using a location model of differential expression we find that each method has a domain of superiority in the state space of enrichment problems and that both methods have benefits in practice our analysis also addresses two problems related to multiplecategory inference namely that equally enriched categories are not detected with equal probability if they are of different sizes and also that there is dependence among category statistics owing to shared genes randomset enrichment calculations do not require monte carlo for implementation they are made available in the r package allez | [['a', 'prespecified', 'set', 'of', 'genes', 'may', 'be', 'enriched', 'to', 'varying', 'degrees', 'for', 'genes', 'that', 'have', 'altered', 'expression', 'levels', 'relative', 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708.4351 | A path integral leading to higher-order Lagrangians | We consider a simple modification of standard phase-space path integrals and
show that it leads in configuration space to Lagrangians depending also on
accelerations.
| hep-th | we consider a simple modification of standard phasespace path integrals and show that it leads in configuration space to lagrangians depending also on accelerations | [['we', 'consider', 'a', 'simple', 'modification', 'of', 'standard', 'phasespace', 'path', 'integrals', 'and', 'show', 'that', 'it', 'leads', 'in', 'configuration', 'space', 'to', 'lagrangians', 'depending', 'also', 'on', 'accelerations']] | [-0.14006337725246945, 0.14638473097390184, -0.1337434131807337, 0.08161596984912951, -0.12082528035777311, -0.07186690141679719, 0.021943321175058372, 0.4155925565088789, -0.2318353663237455, -0.2699387171305716, -0.017893604473404896, -0.1901675482513383, -0.18070566446598, 0.23491910782953104, -0.0952670390640075, -0.04759377590380609, 0.15158409751408422, 0.06728835334070027, -0.1304851300374139, -0.21905520196984676, 0.3695498046775659, -0.004497258458286524, 0.1938712989600996, 0.018655335511236142, 0.1688757772790268, 0.061468552778630205, 0.01597797273037334, 0.06124124188863789, -0.1665330653113415, 0.05997193092480302, 0.11797485923549782, 0.0822929302812554, 0.16840757724518576, -0.4072361698684593, -0.19681206807338944, 0.10298342963991065, 0.1008454105661561, 0.12660509600148848, 0.002545194792522428, -0.23726325070795914, -0.0028158461888475963, -0.19492891741295656, -0.1504768010151262, -0.1617649126177033, 0.04586237253776441, -0.010562781787787875, -0.25627634026265395, 0.04814145503405598, 0.022948253511761624, -0.011547466701207062, -0.026032691821455956, -0.06693054153583944, 0.014324428979307413, -0.006082303433989485, 0.03351742030645255, 0.0399505098660787, 0.14754348886587346, -0.09318591592212518, -0.13247121424258998, 0.4518168292318781, -0.08535029799774445, -0.33019114219738793, 0.16731507152629396, -0.14859858822698394, -0.1437270921499779, 0.1050648217884979, 0.17551508576919636, 0.15201046647659192, -0.13079498626757413, 0.1519636069012146, 0.014350344116489092, 0.11373391136294231, 0.1045053234944741, 0.018595768594726298, 0.10566859803808863, 0.08808118407614529, 0.15791475012277564, 0.10833511961391196, -0.06421131245830718, -0.205957181363677, -0.35467990891387063, -0.21684470384692153, -0.09737363414994131, 0.04215672332793474, -0.10630112476974318, -0.20233290401908258, 0.3700730509008281, 0.16334434474507967, 0.25376087275799364, 0.0671456897786508, 0.2568922806531191, 0.15194188295087466, 0.07628866486872236, 0.06851376096407573, 0.2362271573704978, 0.06510749319568276, 0.002015831860868881, -0.19802745338529348, -0.03579456803466504, 0.10947675611047696] |
708.4352 | Jordan algebras over algebraic varieties | We construct Jordan algebras over a locally ringed space using
generalizations of the Tits process and the first Tits construction by
Achhammer. Some general results on the structure of these algebras are
obtained. Examples of Albert algebras over a Brauer-Severi variety with
associated central simple algebra of degree 3 are given.
| math.RA | we construct jordan algebras over a locally ringed space using generalizations of the tits process and the first tits construction by achhammer some general results on the structure of these algebras are obtained examples of albert algebras over a brauerseveri variety with associated central simple algebra of degree 3 are given | [['we', 'construct', 'jordan', 'algebras', 'over', 'a', 'locally', 'ringed', 'space', 'using', 'generalizations', 'of', 'the', 'tits', 'process', 'and', 'the', 'first', 'tits', 'construction', 'by', 'achhammer', 'some', 'general', 'results', 'on', 'the', 'structure', 'of', 'these', 'algebras', 'are', 'obtained', 'examples', 'of', 'albert', 'algebras', 'over', 'a', 'brauerseveri', 'variety', 'with', 'associated', 'central', 'simple', 'algebra', 'of', 'degree', '3', 'are', 'given']] | [-0.13019539151340723, 0.030340091614052652, -0.047545402478426695, 0.03205275411852199, -0.13876413520425557, -0.11791932754218579, -0.0699986501224339, 0.38804400522261856, -0.34185447689145804, -0.2017795807123184, 0.16592814623378216, -0.2036948718689382, -0.16901807717978953, 0.2739371307566762, -0.17546812707558274, -0.08855866774916649, 0.04121525801718235, 0.10164399615488946, -0.13952089646831156, -0.34474962699692696, 0.4649091107212007, 0.0023803571658208966, 0.19793435047380625, -0.032264044703915716, 0.1217296977667138, 0.03763959947042167, -0.06725086769089103, 0.039468097807257435, -0.18512364256195724, 0.14056267086416482, 0.27754945456516, 0.09591339507140219, 0.21421802614349872, -0.32818707533180713, -0.14244471787882504, 0.16063517212867737, 0.09414230883121491, 0.05067091238452122, -0.05994871053146198, -0.29877764090895653, 0.08011821625754237, -0.2522837407773477, -0.1463561438303441, -0.08003952817991376, 0.05331144578754902, 0.01428650164976716, -0.20097231051535347, -0.00018640145077370107, 0.0919111018627882, 0.17182547809556126, -0.1468583195656538, -0.10846240524901077, -0.07735593733377755, 0.058211591886356474, -0.1312523901282111, -0.004732463676482439, 0.08650477946735918, -0.029592638863250614, -0.24120227290317417, 0.3595532114803791, 0.03031889449805021, -0.1987664318829775, 0.18623015081509947, -0.17007803273387254, -0.16016801584511994, 0.10043944373726844, 0.08455619755201042, 0.12887477772310377, -0.03037104075890966, 0.18108967596548609, -0.1462443848606199, -0.05417425442487001, 0.1374578975699842, -0.021926567297196015, 0.1682916858792305, 0.10830772390589118, 0.010174466194584966, 0.10909998830873519, 0.0726440021803137, -0.07679799231002107, -0.4130832099914551, -0.1532736755773658, -0.0974635682394728, 0.13885768584441394, -0.1797602507096599, -0.1676076355576515, 0.44291127304546535, 0.055550890993326905, 0.1782593678124249, 0.13468143537640573, 0.15295379932969808, 0.025078506376594305, 0.12344389447942376, 0.03715368563309312, 0.10664107333228458, 0.28458276477176697, -0.028615180025808512, -0.03610208343714476, -0.039224216006696226, 0.19882407801225782] |
708.4353 | Scaling properties of delay times in one-dimensional random media | The scaling properties of the inverse moments of Wigner delay times are
investigated in finite one-dimensional (1D) random media with one channel
attached to the boundary of the sample. We find that they follow a simple
scaling law which is independent of the microscopic details of the random
potential. Our theoretical considerations are confirmed numerically for systems
as diverse as 1D disordered wires and optical lattices to microwave waveguides
with correlated scatterers.
| cond-mat.dis-nn | the scaling properties of the inverse moments of wigner delay times are investigated in finite onedimensional 1d random media with one channel attached to the boundary of the sample we find that they follow a simple scaling law which is independent of the microscopic details of the random potential our theoretical considerations are confirmed numerically for systems as diverse as 1d disordered wires and optical lattices to microwave waveguides with correlated scatterers | [['the', 'scaling', 'properties', 'of', 'the', 'inverse', 'moments', 'of', 'wigner', 'delay', 'times', 'are', 'investigated', 'in', 'finite', 'onedimensional', '1d', 'random', 'media', 'with', 'one', 'channel', 'attached', 'to', 'the', 'boundary', 'of', 'the', 'sample', 'we', 'find', 'that', 'they', 'follow', 'a', 'simple', 'scaling', 'law', 'which', 'is', 'independent', 'of', 'the', 'microscopic', 'details', 'of', 'the', 'random', 'potential', 'our', 'theoretical', 'considerations', 'are', 'confirmed', 'numerically', 'for', 'systems', 'as', 'diverse', 'as', '1d', 'disordered', 'wires', 'and', 'optical', 'lattices', 'to', 'microwave', 'waveguides', 'with', 'correlated', 'scatterers']] | [-0.14416353883118266, 0.18507900420809165, -0.06329091863396268, 0.02218183884946888, -0.03506296897507531, -0.18655972009017002, 0.039595392109024234, 0.43592768793718684, -0.2538544931966398, -0.23325205427439263, 0.08198295368250304, -0.3233044462847627, -0.12308192163861047, 0.198332291497435, 0.042290935997799456, 0.12560963444411755, -0.0152018271069715, -0.01899091695021424, -0.06472734394062879, -0.236278227863497, 0.2761417812564307, 0.034199648510871664, 0.31421217746618724, 0.0008694548741914332, 0.04344469736356081, 0.010203820692064861, 0.001284671442893644, 0.028639198795038585, -0.12400990820495078, 0.0680881854495965, 0.20376066551802474, -0.05466241332851496, 0.17577592562884092, -0.4687024728364122, -0.2663169523778682, 0.04062957797173618, 0.1695142017561011, 0.13167885878323837, -0.04885944652293498, -0.2756900657485757, 0.055811360790458925, -0.10715090445592068, -0.20586448405972785, -0.039437594176787466, 0.04631449544103816, 0.11251260187856992, -0.25729896821495557, 0.10513739236113098, 0.06577974270718794, 0.055705347395915955, -0.02441801856103767, -0.08073944291876008, -0.0037058476947196242, 0.11671938018278322, -0.006475725282345795, -0.06941433484381479, 0.13273306505127241, -0.09649924413032648, -0.102685858555358, 0.406711421156716, -0.012442935549188405, -0.1820584003699979, 0.206394256850116, -0.15924392118581132, -0.06605660770502356, 0.10637746554049146, 0.1892875985164816, 0.05555401566754073, -0.17948846612125635, 0.041896973328322124, -0.07936192101947705, 0.15592368893582412, 0.01156186899687681, 0.07949102662193279, 0.1950148461878093, 0.1620021537399023, 0.0056259977346700095, 0.16419955423205262, -0.052707579798556656, -0.12127149152284902, -0.2841861253449072, -0.11162544199032709, -0.2704455207826363, 0.07567804182569186, -0.14231583774845705, -0.23892620604359158, 0.3615493913077646, 0.13391643253594843, 0.1873771975709436, 0.07379057293777198, 0.2362454954224328, 0.16385684447434162, 0.03968307231682249, 0.025264473981224, 0.20735537476785895, 0.2078147274442017, 0.09487525311609109, -0.23041703653871082, -0.010083527724620782, 0.014894813001673255] |
708.4354 | G-functions and multisum versus holonomic sequences | The purpose of the paper is three-fold: (a) we prove that every sequence
which is a multidimensional sum of a balanced hypergeometric term has an
asymptotic expansion of Gevrey type-1 with rational exponents, (b) we construct
a class of $G$-functions that come from enumerative combinatorics, and (c) we
give a counterexample to a question of Zeilberger that asks whether holonomic
sequences can be written as multisums of balanced hypergeometric terms. The
proofs utilize the notion of a $G$-function, introduced by Siegel, and its
analytic/arithmetic properties shown recently by Andr\'e.
| math.CO math.AG | the purpose of the paper is threefold a we prove that every sequence which is a multidimensional sum of a balanced hypergeometric term has an asymptotic expansion of gevrey type1 with rational exponents b we construct a class of gfunctions that come from enumerative combinatorics and c we give a counterexample to a question of zeilberger that asks whether holonomic sequences can be written as multisums of balanced hypergeometric terms the proofs utilize the notion of a gfunction introduced by siegel and its analyticarithmetic properties shown recently by andre | [['the', 'purpose', 'of', 'the', 'paper', 'is', 'threefold', 'a', 'we', 'prove', 'that', 'every', 'sequence', 'which', 'is', 'a', 'multidimensional', 'sum', 'of', 'a', 'balanced', 'hypergeometric', 'term', 'has', 'an', 'asymptotic', 'expansion', 'of', 'gevrey', 'type1', 'with', 'rational', 'exponents', 'b', 'we', 'construct', 'a', 'class', 'of', 'gfunctions', 'that', 'come', 'from', 'enumerative', 'combinatorics', 'and', 'c', 'we', 'give', 'a', 'counterexample', 'to', 'a', 'question', 'of', 'zeilberger', 'that', 'asks', 'whether', 'holonomic', 'sequences', 'can', 'be', 'written', 'as', 'multisums', 'of', 'balanced', 'hypergeometric', 'terms', 'the', 'proofs', 'utilize', 'the', 'notion', 'of', 'a', 'gfunction', 'introduced', 'by', 'siegel', 'and', 'its', 'analyticarithmetic', 'properties', 'shown', 'recently', 'by', 'andre']] | [-0.17120606614480494, 0.043970342705175754, -0.13811167143285275, 0.08721519456594251, -0.10407850707203826, -0.13744853128446266, 0.044562801377403295, 0.280423683004549, -0.31492886247790675, -0.21177614796695046, 0.07944370938507332, -0.24577320532195948, -0.24321675748267974, 0.2110140411479568, -0.15489137436220932, 0.017842446512738454, 0.04827623906947503, 0.024881280731113457, -0.08318196201368912, -0.3279748717746274, 0.37003412314648315, -0.029298753768671304, 0.17876812209512785, 0.051002954386852005, 0.12968909338285978, -0.016780638120094823, -0.04387737810611725, -0.022803757874168117, -0.17545173429235464, 0.14974526351910422, 0.28005320064469497, 0.1474134813311552, 0.2886873064986007, -0.3332542890549865, -0.11775123681978915, 0.16612946638964454, 0.15882710122439841, 0.02527679277938494, -0.00695346581844867, -0.23029568162746727, 0.10015926871512254, -0.20152649230889932, -0.1629987472710623, -0.1017501705580137, 0.06337326451797377, 0.08651038792661646, -0.27888136819555337, 0.003090456244535744, 0.13338486740196293, 0.0881377692990513, 0.0062807042757578365, -0.11111527030483227, 0.0032187457545660436, 0.06922114204446023, 0.03660164124713364, 0.08695577823726292, 0.003912669103142848, -0.10043500931086866, -0.1657480753492564, 0.3415717867160724, -0.02977671359919689, -0.24178465609227054, 0.08653309044893831, -0.10928775857742452, -0.16032194255703044, 0.09050650839080018, 0.09554966186723587, 0.1678178928665478, -0.1161768979350613, 0.1574257159677059, -0.14787261455785483, 0.1320816639953674, 0.16305326085156677, -0.004857990652619099, 0.16240644178734245, 0.028374231764411725, 0.026099907350726426, 0.21077896808988458, 0.031236247704576024, -0.0373055624030795, -0.3136098640335893, -0.19224005815869366, -0.1821088938406981, 0.15818073856644332, -0.06833167873628554, -0.22372924870995287, 0.4222970527004112, 0.04435099064986306, 0.15836851322092116, 0.14430631397276142, 0.18809485277002255, 0.16051173433317506, 0.014861487019516062, 0.03876461072253402, 0.11780483919375745, 0.19162859277193176, 0.04213206108066846, -0.13176284506864083, 0.05257400327404453, 0.23671968166970395] |
708.4355 | Quantum tunneling in ^{277}112 and its alpha-decay chain | The $\alpha$-decay half lives of nuclei in the decay from element $^{277}112$
are calculated in a WKB framework using DDM3Y interaction and experimental
Q-values. Theoretical estimation of half lives in the same quantum tunneling
model, using Q-values from the mass formula of
Muntian-Hofmann-Patyk-Sobiczewski, are also presented. Calculated results
furnish corroborating evidence for the experimental findings at RIKEN and GSI.
Certain discrepancies indicate necessity of a better mass formula. Further
experimental data with higher statistics would also be useful.
| nucl-th nucl-ex | the alphadecay half lives of nuclei in the decay from element 277112 are calculated in a wkb framework using ddm3y interaction and experimental qvalues theoretical estimation of half lives in the same quantum tunneling model using qvalues from the mass formula of muntianhofmannpatyksobiczewski are also presented calculated results furnish corroborating evidence for the experimental findings at riken and gsi certain discrepancies indicate necessity of a better mass formula further experimental data with higher statistics would also be useful | [['the', 'alphadecay', 'half', 'lives', 'of', 'nuclei', 'in', 'the', 'decay', 'from', 'element', '277112', 'are', 'calculated', 'in', 'a', 'wkb', 'framework', 'using', 'ddm3y', 'interaction', 'and', 'experimental', 'qvalues', 'theoretical', 'estimation', 'of', 'half', 'lives', 'in', 'the', 'same', 'quantum', 'tunneling', 'model', 'using', 'qvalues', 'from', 'the', 'mass', 'formula', 'of', 'muntianhofmannpatyksobiczewski', 'are', 'also', 'presented', 'calculated', 'results', 'furnish', 'corroborating', 'evidence', 'for', 'the', 'experimental', 'findings', 'at', 'riken', 'and', 'gsi', 'certain', 'discrepancies', 'indicate', 'necessity', 'of', 'a', 'better', 'mass', 'formula', 'further', 'experimental', 'data', 'with', 'higher', 'statistics', 'would', 'also', 'be', 'useful']] | [-0.016447367851230268, 0.13732710902848722, -0.1231126578733031, 0.1578359061554932, -0.002174577393912171, -0.1338685279908149, 0.09326677005676749, 0.3694010289189847, -0.13360567607818857, -0.3123368044187756, 0.026979035837269436, -0.32814659124338313, -0.06664277384621337, 0.2892808278403735, 0.024812307931776894, 0.07438068686200208, 0.11888370150087499, 0.06887304204467096, -0.09751586105037284, -0.19987661342173324, 0.26185005932654204, 0.10712413404498396, 0.28228471832545965, 0.1327526179681483, -0.0026100521254671834, -0.017445321556327765, -0.031176681593550665, -0.04407189977447208, -0.15462793050775012, 0.12066088382791924, 0.26289192519202753, 0.08959425174582161, 0.20986262621897223, -0.43865595954029185, -0.1670857802474577, 0.03467203702434505, 0.18517507008264625, 0.1562505929951409, -0.1434407855237001, -0.32183295395225286, 0.06681685506268159, -0.2161058100724691, -0.15666062020892768, -0.07699385686091294, 0.0015973263898080116, 0.01327709398940083, -0.26812753904194225, 0.10153871911231697, -0.06709014685092322, 0.0718689963319584, -0.16040093642598213, -0.2159863805190023, -0.006598480591109316, 0.10441629773643064, 0.08760927205654107, -0.013566592248695853, 0.13230309233461557, -0.06079805250230588, -0.14506987875057875, 0.36599631034033864, -0.02547689671873262, -0.12847568251584707, 0.08393435529433191, -0.21625228642829156, -0.11327554687465492, 0.16664797260952918, 0.10830048933674238, 0.08912447853455026, -0.11607460160494636, 0.03846698223558059, -0.015600274941932998, 0.11930974350482422, 0.031090808444117244, 0.021827496177712947, 0.20349797532330022, 0.17701800437153956, -0.08794231584761292, 0.05485578920649316, -0.08890092154768736, -0.14710931462774934, -0.35577637241467047, -0.14917761618026384, -0.15773427278557056, 0.004982934492689215, -0.0964991244679703, -0.05723773859024636, 0.32942829648719024, 0.15535720291939614, 0.22637700638733804, 0.05884757356742691, 0.2820698114136528, 0.11728180591997348, 0.08500206195994427, 0.006764638372451851, 0.2815301521852809, 0.16564737676985955, 0.07758533873742349, -0.2344227574005919, 0.06703127616722333, 0.047527514247983495] |
708.4356 | Phase stability of hafnium oxide and zirconium oxide on silicon
substrate | Phase stabilities of Hf-Si-O and Zr-Si-O have been studied with
first-principles and thermodynamic modeling. From the obtained thermodynamic
descriptions, phase diagrams pertinent to thin film processing were calculated.
We found that the relative stability of the metal silicates with respect to
their binary oxides plays a critical role in silicide formation. It was
observed that both the HfO$_2$/Si and ZrO$_2$/Si interfaces are stable in a
wide temperature range and silicide may form at low temperatures, partially at
the HfO$_2$/Si interface.
| cond-mat.mtrl-sci | phase stabilities of hfsio and zrsio have been studied with firstprinciples and thermodynamic modeling from the obtained thermodynamic descriptions phase diagrams pertinent to thin film processing were calculated we found that the relative stability of the metal silicates with respect to their binary oxides plays a critical role in silicide formation it was observed that both the hfo_2si and zro_2si interfaces are stable in a wide temperature range and silicide may form at low temperatures partially at the hfo_2si interface | [['phase', 'stabilities', 'of', 'hfsio', 'and', 'zrsio', 'have', 'been', 'studied', 'with', 'firstprinciples', 'and', 'thermodynamic', 'modeling', 'from', 'the', 'obtained', 'thermodynamic', 'descriptions', 'phase', 'diagrams', 'pertinent', 'to', 'thin', 'film', 'processing', 'were', 'calculated', 'we', 'found', 'that', 'the', 'relative', 'stability', 'of', 'the', 'metal', 'silicates', 'with', 'respect', 'to', 'their', 'binary', 'oxides', 'plays', 'a', 'critical', 'role', 'in', 'silicide', 'formation', 'it', 'was', 'observed', 'that', 'both', 'the', 'hfo_2si', 'and', 'zro_2si', 'interfaces', 'are', 'stable', 'in', 'a', 'wide', 'temperature', 'range', 'and', 'silicide', 'may', 'form', 'at', 'low', 'temperatures', 'partially', 'at', 'the', 'hfo_2si', 'interface']] | [-0.11584516669819622, 0.16871619427968798, -0.06488028098216378, 0.012426036740898302, 0.021150971673992706, -0.10347436837190271, 0.06541968634548156, 0.43961045871439736, -0.23307152643897816, -0.32358225187253037, 0.0704215870661612, -0.31444891967418553, -0.1075733280127966, 0.16761852980983494, 0.031001959841600375, 0.05208753896448271, -0.027829549701173642, -0.0414425898320348, -0.12958152972676448, -0.17729958779129543, 0.28552873533121065, 0.06415995900323124, 0.30551780995569733, 0.08811230516968001, 0.02967424982987148, -0.07715006145697675, 0.08084561584492851, 0.0518157517255627, -0.1962787085528697, 0.03445351511963006, 0.3147759461824439, -0.04118506310470892, 0.16360743841352432, -0.4279488963320067, -0.25601311938494054, 0.02407405009542249, 0.09873108609309911, 0.10547805382674069, -0.11882675511572559, -0.22159689369053873, 0.12115543855256156, -0.1363060641666188, -0.09449489988190563, -0.09209583714408309, 0.011787777680805639, 0.01767604697593733, -0.18094694849462126, 0.06261646469417763, 0.017465693083163626, 0.09624224078326829, -0.14215029273059612, -0.1502946082220756, -0.14664534604372947, 0.1172239415739712, 0.00037173347204531496, 0.02019932486061742, 0.16646182395542333, -0.10733192363190219, -0.020502956584095955, 0.40289459267239036, -0.0413825654326693, -0.05602821500628794, 0.2776269634916006, -0.17959723412365602, -0.11230840285823337, 0.19372618350347406, 0.11887801812324476, 0.1142459602009407, -0.16110754993401075, 0.05635603481794916, 0.06630701905133289, 0.1731638006504478, 0.1039991678032828, 0.06144437782686988, 0.28683199534976955, 0.2036142569451936, -0.08184844468364884, 0.15594583453218402, -0.08857748738342994, -0.11795394049381445, -0.18645408321907253, -0.17763984163512328, -0.12054815705816604, -0.00501403779612462, -0.11409191696484892, -0.21023313128879587, 0.3107082598174824, 0.11787951750662423, 0.17605168624025905, -0.04645081898994058, 0.20275490780017877, 0.09165406392544116, 0.06068476150118697, 0.013958411867191134, 0.2826327176544031, 0.1783264777163583, 0.1573688596991384, -0.2275402911197345, 0.1671844210359268, 0.026057512045984988] |
708.4357 | Bifurcation of standing waves into a pair of oppositely traveling waves
with oscillating amplitudes caused by a three-mode interaction | A novel flow state consisting of two oppositely travelling waves (TWs) with
oscillating amplitudes has been found in the counterrotating Taylor-Couette
system by full numerical simulations. This structure bifurcates out of axially
standing waves that are nonlinear superpositions of left and right handed
spiral vortex waves with equal time-independent amplitudes. Beyond a critical
driving the two spiral TW modes start to oscillate in counterphase due to a
Hopf bifurcation. The trigger for this bifurcation is provided by a nonlinearly
excited mode of different symmetry than the spiral TWs. A three-mode coupled
amplitude equation model is presented that captures this bifurcation scenario.
The mode-coupling between two symmetry degenerate critical modes and a
nonlinearly excited one that is contained in the model can be expected to occur
in other structure forming systems as well.
| nlin.PS physics.comp-ph physics.flu-dyn | a novel flow state consisting of two oppositely travelling waves tws with oscillating amplitudes has been found in the counterrotating taylorcouette system by full numerical simulations this structure bifurcates out of axially standing waves that are nonlinear superpositions of left and right handed spiral vortex waves with equal timeindependent amplitudes beyond a critical driving the two spiral tw modes start to oscillate in counterphase due to a hopf bifurcation the trigger for this bifurcation is provided by a nonlinearly excited mode of different symmetry than the spiral tws a threemode coupled amplitude equation model is presented that captures this bifurcation scenario the modecoupling between two symmetry degenerate critical modes and a nonlinearly excited one that is contained in the model can be expected to occur in other structure forming systems as well | [['a', 'novel', 'flow', 'state', 'consisting', 'of', 'two', 'oppositely', 'travelling', 'waves', 'tws', 'with', 'oscillating', 'amplitudes', 'has', 'been', 'found', 'in', 'the', 'counterrotating', 'taylorcouette', 'system', 'by', 'full', 'numerical', 'simulations', 'this', 'structure', 'bifurcates', 'out', 'of', 'axially', 'standing', 'waves', 'that', 'are', 'nonlinear', 'superpositions', 'of', 'left', 'and', 'right', 'handed', 'spiral', 'vortex', 'waves', 'with', 'equal', 'timeindependent', 'amplitudes', 'beyond', 'a', 'critical', 'driving', 'the', 'two', 'spiral', 'tw', 'modes', 'start', 'to', 'oscillate', 'in', 'counterphase', 'due', 'to', 'a', 'hopf', 'bifurcation', 'the', 'trigger', 'for', 'this', 'bifurcation', 'is', 'provided', 'by', 'a', 'nonlinearly', 'excited', 'mode', 'of', 'different', 'symmetry', 'than', 'the', 'spiral', 'tws', 'a', 'threemode', 'coupled', 'amplitude', 'equation', 'model', 'is', 'presented', 'that', 'captures', 'this', 'bifurcation', 'scenario', 'the', 'modecoupling', 'between', 'two', 'symmetry', 'degenerate', 'critical', 'modes', 'and', 'a', 'nonlinearly', 'excited', 'one', 'that', 'is', 'contained', 'in', 'the', 'model', 'can', 'be', 'expected', 'to', 'occur', 'in', 'other', 'structure', 'forming', 'systems', 'as', 'well']] | [-0.24765405472311558, 0.23529785462817404, -0.06702831775328377, 0.05049294172115906, -0.07174506040543994, -0.16944104844746602, -0.030165299434553493, 0.3064938783433966, -0.266705086482971, -0.20851860167176434, 0.07838622635851304, -0.2848364705163421, -0.1488340865030433, 0.15769961727853637, 0.07003333605825901, 0.034272586574044195, 0.029189677062359722, 0.021912525346234554, -0.02020584012092458, -0.11624401253577547, 0.3172529053902536, -0.03754377905561617, 0.2661678319564089, -0.08769436970804677, 0.06427091088456412, -0.0760153620098153, 0.07412887834344116, -0.020563511107342714, -0.13619597034900807, -0.005056890348593394, 0.22523026150884107, 0.014632925217456155, 0.2400688663421368, -0.4799067677478447, -0.20815195532199912, 0.056954426634492294, 0.241662050847839, 0.1609332225652355, -0.027177352419433493, -0.31824887174827216, 0.03521516010038216, -0.16355055377017846, -0.200197219524081, -0.03299419831301114, 0.038204206227832896, 0.01735347559478021, -0.256017169065837, 0.129578003772732, 0.04680029480897991, 0.033505950793341704, -0.060895458343579914, -0.017627478410511023, -0.12902213991654923, 0.051020016831127134, 0.07722127636776405, 0.04474777834856826, 0.10953247286626279, -0.1167009339621996, -0.11612283730364377, 0.364297381316481, -0.07199794782564188, -0.2031595352807816, 0.19298315397022772, -0.18516428684674655, -0.048033088385691924, 0.19362479700198906, 0.15040702850444976, 0.0839266149983318, -0.08467285972966981, -0.0035909080294059645, -0.06516552432510776, 0.16856814261920977, 0.15158015331182856, -0.01934679513435571, 0.28792463196794305, 0.18611595143253604, 0.041623577694267486, 0.1507053323593661, -0.05656303098481713, -0.13577422319036542, -0.2896422165460094, -0.05977851301996094, -0.0931236387349958, 0.008575739778307528, -0.00867174733337544, -0.1682350721940483, 0.4530049924893926, 0.08248078843903248, 0.17137206626053245, -0.03810153893286814, 0.2810223558070985, 0.13450640176729808, 0.04788569226917444, 0.08264610274768942, 0.32786897435840784, 0.17466959515921632, 0.0940444096499546, -0.25556189102247695, -0.019931790912806086, 0.04757007539879079] |
708.4358 | Elevated soil lead: Statistical modeling and apportionment of
contributions from lead-based paint and leaded gasoline | While it is widely accepted that lead-based paint and leaded gasoline are
primary sources of elevated concentrations of lead in residential soils,
conclusions regarding their relative contributions are mixed and generally
study specific. We develop a novel nonlinear regression for soil lead
concentrations over time. It is argued that this methodology provides useful
insights into the partitioning of the average soil lead concentration by source
and time over large residential areas. The methodology is used to investigate
soil lead concentrations from the 1987 Minnesota Lead Study and the 1990
National Lead Survey. Potential litigation issues are discussed briefly.
| stat.AP | while it is widely accepted that leadbased paint and leaded gasoline are primary sources of elevated concentrations of lead in residential soils conclusions regarding their relative contributions are mixed and generally study specific we develop a novel nonlinear regression for soil lead concentrations over time it is argued that this methodology provides useful insights into the partitioning of the average soil lead concentration by source and time over large residential areas the methodology is used to investigate soil lead concentrations from the 1987 minnesota lead study and the 1990 national lead survey potential litigation issues are discussed briefly | [['while', 'it', 'is', 'widely', 'accepted', 'that', 'leadbased', 'paint', 'and', 'leaded', 'gasoline', 'are', 'primary', 'sources', 'of', 'elevated', 'concentrations', 'of', 'lead', 'in', 'residential', 'soils', 'conclusions', 'regarding', 'their', 'relative', 'contributions', 'are', 'mixed', 'and', 'generally', 'study', 'specific', 'we', 'develop', 'a', 'novel', 'nonlinear', 'regression', 'for', 'soil', 'lead', 'concentrations', 'over', 'time', 'it', 'is', 'argued', 'that', 'this', 'methodology', 'provides', 'useful', 'insights', 'into', 'the', 'partitioning', 'of', 'the', 'average', 'soil', 'lead', 'concentration', 'by', 'source', 'and', 'time', 'over', 'large', 'residential', 'areas', 'the', 'methodology', 'is', 'used', 'to', 'investigate', 'soil', 'lead', 'concentrations', 'from', 'the', '1987', 'minnesota', 'lead', 'study', 'and', 'the', '1990', 'national', 'lead', 'survey', 'potential', 'litigation', 'issues', 'are', 'discussed', 'briefly']] | [-0.012817252707686655, 0.12728659564401118, -0.08904645599101726, 0.08291297184056318, -0.02001589173641132, -0.12893274102873187, 0.042760961517995716, 0.3284485144350602, -0.19617463600802787, -0.3305093092197666, 0.13207694768254663, -0.279208362834262, -0.15950093827001294, 0.22789687003788292, -0.12064644080415672, -0.00030079177979912074, 0.04212749105217695, -0.057256111038886774, 0.04202925129936134, -0.26902948836891016, 0.25486561358782783, 0.08122048335511009, 0.3741901079002692, 0.10570546261472058, 0.05141213713261318, -0.04641205510504696, -0.11051547122473011, 0.0331287266441849, -0.1430370542465778, 0.11515326854981939, 0.32694353771453, 0.15023885466804615, 0.2977571133144048, -0.46954976126779707, -0.26127952697439766, 0.08712191225922837, 0.03615643546859525, 0.09446287277031082, -0.0575270240993372, -0.24358622550166079, 0.04710503666880256, -0.18198559653698182, -0.14388956921650287, -0.07246263707246707, -0.008237585026238645, 0.07791350724719635, -0.23112790714664272, 0.14046997610213502, 0.0038040912023665887, 0.08711266604119114, -0.09487617523195602, -0.21074929330688047, -0.015786149363242546, 0.15672965243705833, 0.09410885461292477, -0.007630234141121333, 0.1651764020599349, -0.06904412974955096, -0.02492703858059736, 0.4011093993310113, 0.016629306019797008, -0.12011300308667884, 0.20362222091085752, -0.07565550796915682, -0.09835037720931351, 0.1418533257068591, 0.2441632383864145, 0.06041996526247964, -0.19730183930250303, 0.028367451912419378, -0.012470777987559535, 0.14783137498841603, 0.09449617262948684, -0.03490119080572408, 0.25523977289546507, 0.2021227485633322, 0.08293474994941938, 0.14074145629051693, -0.0979504974592211, -0.08841711899018562, -0.20809700512279738, -0.15491859381068118, -0.04819315445742437, 0.018229667377677197, -0.06505191686731877, -0.1602080081897189, 0.380017543617845, 0.19538818846462053, 0.1240469978062664, -0.00564762730417507, 0.20929777451163653, 0.07192005464160929, 0.0732715588647454, 0.02757123352933618, 0.20840382894349038, 0.10070631998039935, 0.1503683167357682, -0.19945224992959398, 0.15387807489368038, 0.0005363205813669733] |
708.4359 | On the Topological Properties of the World Trade Web: A Weighted Network
Analysis | This paper studies the topological properties of the World Trade Web (WTW)
and its evolution over time by employing a weighted network analysis. We show
that the WTW, viewed as a weighted network, displays statistical features that
are very different from those obtained by using a traditional binary-network
approach. In particular, we find that: (i) the majority of existing links are
associated to weak trade relationships; (ii) the weighted WTW is only weakly
disassortative; (iii) countries holding more intense trade relationships are
more clustered.
| q-fin.GN physics.soc-ph | this paper studies the topological properties of the world trade web wtw and its evolution over time by employing a weighted network analysis we show that the wtw viewed as a weighted network displays statistical features that are very different from those obtained by using a traditional binarynetwork approach in particular we find that i the majority of existing links are associated to weak trade relationships ii the weighted wtw is only weakly disassortative iii countries holding more intense trade relationships are more clustered | [['this', 'paper', 'studies', 'the', 'topological', 'properties', 'of', 'the', 'world', 'trade', 'web', 'wtw', 'and', 'its', 'evolution', 'over', 'time', 'by', 'employing', 'a', 'weighted', 'network', 'analysis', 'we', 'show', 'that', 'the', 'wtw', 'viewed', 'as', 'a', 'weighted', 'network', 'displays', 'statistical', 'features', 'that', 'are', 'very', 'different', 'from', 'those', 'obtained', 'by', 'using', 'a', 'traditional', 'binarynetwork', 'approach', 'in', 'particular', 'we', 'find', 'that', 'i', 'the', 'majority', 'of', 'existing', 'links', 'are', 'associated', 'to', 'weak', 'trade', 'relationships', 'ii', 'the', 'weighted', 'wtw', 'is', 'only', 'weakly', 'disassortative', 'iii', 'countries', 'holding', 'more', 'intense', 'trade', 'relationships', 'are', 'more', 'clustered']] | [-0.125195781237457, 0.08282638536429549, -0.06811725229294185, 0.1433064978940031, -0.0647241134296104, -0.14270913041006011, 0.08007490529583386, 0.4311071745602481, -0.28375219900430326, -0.28108649820942117, 0.085555059042849, -0.3398804548364806, -0.21412454819845328, 0.17151825524956346, -0.0476154602435698, -0.051358537990403505, 0.0885358132163893, 0.018293828501489508, -0.048975775593398024, -0.26553334762533026, 0.34929859811925407, 0.03259349502735289, 0.31874960389111684, -0.01698665500405323, 0.04173896112759788, -0.009228323490908706, -0.10196232600894992, 0.10419755965100982, -0.07451462543684167, 0.19468118108427487, 0.27513597213034796, 0.1853576811445675, 0.2920722627496145, -0.44020280953362045, -0.2196270981943796, 0.13176132973665036, 0.11619124473465314, 0.032488135486302604, 0.007835291710006163, -0.28672644491475746, 0.09409490576664727, -0.19607599714703589, -0.04869073952536985, -0.0715859778062721, 0.005323282409324704, 0.07884058168898504, -0.1976586373926825, 0.07997618758130863, 0.032791064603321526, 0.06317579594205122, -0.003978977581564651, -0.06695783194378917, -0.06746093243786908, 0.16237819130274367, 0.032141897423439716, -0.02611823497811355, 0.11701266037816384, -0.15480609279384006, -0.11283610578267331, 0.3604122183947678, -0.06003214619739587, -0.14265464014003434, 0.1869867419689355, -0.09596616671005466, -0.15221390297008028, 0.06818993043726737, 0.16943894398499684, 0.09523829500785613, -0.16972798559006796, 0.01987828773163057, -0.10043892505051322, 0.14474833292707082, 0.04832388360210391, 0.027275395164468204, 0.1587220421285335, 0.19488649372942746, 0.09157435294150947, 0.1199664630175355, -0.08216902398271486, -0.14875064517584552, -0.2175921454060688, -0.08679112115964653, -0.14780390390520354, 0.025112215991984738, -0.1487121174211196, -0.14271371385660472, 0.3938767488103315, 0.1051273424716958, 0.20068269001925926, 0.116440266544695, 0.24121500404708715, 0.05705009717129575, 0.0724951403176255, 0.10397537575237992, 0.214043129636648, 0.05397522190293993, 0.16680988359001342, -0.13142362940798413, 0.1504641467346305, 0.019038537486332906] |
708.436 | Modeling urban street patterns | Urban streets patterns form planar networks whose empirical properties cannot
be accounted for by simple models such as regular grids or Voronoi
tesselations. Striking statistical regularities across different cities have
been recently empirically found, suggesting that a general and
details-independent mechanism may be in action. We propose a simple model based
on a local optimization process combined with ideas previously proposed in
studies of leaf pattern formation. The statistical properties of this model are
in good agreement with the observed empirical patterns. Our results thus
suggests that in the absence of a global design strategy, the evolution of many
different transportation networks indeed follow a simple universal mechanism.
| physics.soc-ph cond-mat.stat-mech | urban streets patterns form planar networks whose empirical properties cannot be accounted for by simple models such as regular grids or voronoi tesselations striking statistical regularities across different cities have been recently empirically found suggesting that a general and detailsindependent mechanism may be in action we propose a simple model based on a local optimization process combined with ideas previously proposed in studies of leaf pattern formation the statistical properties of this model are in good agreement with the observed empirical patterns our results thus suggests that in the absence of a global design strategy the evolution of many different transportation networks indeed follow a simple universal mechanism | [['urban', 'streets', 'patterns', 'form', 'planar', 'networks', 'whose', 'empirical', 'properties', 'can', 'not', 'be', 'accounted', 'for', 'by', 'simple', 'models', 'such', 'as', 'regular', 'grids', 'or', 'voronoi', 'tesselations', 'striking', 'statistical', 'regularities', 'across', 'different', 'cities', 'have', 'been', 'recently', 'empirically', 'found', 'suggesting', 'that', 'a', 'general', 'and', 'detailsindependent', 'mechanism', 'may', 'be', 'in', 'action', 'we', 'propose', 'a', 'simple', 'model', 'based', 'on', 'a', 'local', 'optimization', 'process', 'combined', 'with', 'ideas', 'previously', 'proposed', 'in', 'studies', 'of', 'leaf', 'pattern', 'formation', 'the', 'statistical', 'properties', 'of', 'this', 'model', 'are', 'in', 'good', 'agreement', 'with', 'the', 'observed', 'empirical', 'patterns', 'our', 'results', 'thus', 'suggests', 'that', 'in', 'the', 'absence', 'of', 'a', 'global', 'design', 'strategy', 'the', 'evolution', 'of', 'many', 'different', 'transportation', 'networks', 'indeed', 'follow', 'a', 'simple', 'universal', 'mechanism']] | [-0.07506412896758842, 0.07280290478417926, -0.15245173865480832, 0.10842852649897462, -0.058376833498995334, -0.11913619806377769, 0.05172720801244766, 0.41624038180129397, -0.2586493260158157, -0.31887233393111575, 0.06383259238295809, -0.22254397464847123, -0.2597822326308772, 0.2073889729260743, -0.0838822084867085, 0.05103984328538731, 0.07379443316366868, -0.005941570650234267, -0.020713788392539654, -0.20902096031716577, 0.27923601112949353, 0.04918341615875424, 0.3646397642980985, 0.01834497107968976, 0.061573886894620955, -0.060441888084083246, -0.022618426402375377, 0.09347374888171477, -0.11527698800569784, 0.12228817502640325, 0.23804416055123442, 0.13322837793708053, 0.247295834141335, -0.4608041563381751, -0.30526621225807404, 0.12064084713347256, 0.1632050735772484, 0.09047437701115592, -0.08585254863848807, -0.23420011400486584, 0.10720837570692378, -0.16718949825304594, -0.1379184697245903, -0.08246735807646204, 0.010135356638649548, 0.057987017212090666, -0.2594532851966236, 0.07581811873845894, 0.07522893899241118, 0.09193989639687869, -0.0379591029378827, -0.10225044549507503, -0.03732307465462428, 0.14385624592304574, 0.011993353683835637, -0.004686299875309622, 0.11367726647316616, -0.10669299746061572, -0.18247372792016162, 0.3803031278291234, -0.01745869079604745, -0.19130496813751827, 0.2137465473906896, -0.11701281799469143, -0.18119615933715572, 0.07781228780125578, 0.18279774736664775, 0.09503163886256516, -0.20541759189735684, 0.013070915342218036, -0.11406519652896181, 0.1360680032176552, 0.025677146780287364, -0.0015918190130361364, 0.22995671020018765, 0.20973221810224155, 0.03455332444745754, 0.09058403786858199, -0.03197300125665842, -0.149763786443078, -0.2243393951923483, -0.0626903460447297, -0.14310425465616086, 0.003890669693511747, -0.14028766795362807, -0.16779656751788463, 0.39007812790805474, 0.1325624510397945, 0.23854258555177324, 0.06243992609664996, 0.260866560973227, 0.07140247337088955, 0.11433488653144902, 0.08299355990581077, 0.21272521940948166, 0.041624451700718726, 0.08661801447764177, -0.16433044674771805, 0.14106504389309082, 0.05117407420443164] |
708.4361 | Fundamental Constants | The notion of ``fundamental constant'' is heavily theory-laden. A natural,
fairly precise formulation is possible in the context of the standard model
(here defined to include gravity). Some fundamental constants have profound
geometric meaning. The ordinary gravitational constant parameterizes the
stiffness, or resistance to curvature, of space-time. The cosmological term
parameterizes space-time's resistance to expansion -- which may be, and
apparently is at present, a {\it negative} resistance, i.e. a tendency toward
expansion. The three gauge couplings of the strong, electromagnetic, and weak
interactions parameterize resistance to curvature in internal spaces. The
remaining fundamental couplings, of which there are a few dozen, supply an
ungainly accommodation of inertia. The multiplicity and variety of fundamental
constants are esthetic and conceptual shortcomings in our present understanding
of foundational physics. I discuss some ideas for improving the situation. I
then briefly discuss additional constants, primarily cosmological, that enter
into our best established present-day world model. Those constants presently
appear as macroscopic state parameters, i.e. as empirical ``material
constants'' of the Universe. I mention a few ideas for how they might become
fundamental constants in a future theory. In the course of this essay I've
advertised several of my favorite speculations, including a few that might be
tested soon.
| hep-ph gr-qc hep-th physics.gen-ph | the notion of fundamental constant is heavily theoryladen a natural fairly precise formulation is possible in the context of the standard model here defined to include gravity some fundamental constants have profound geometric meaning the ordinary gravitational constant parameterizes the stiffness or resistance to curvature of spacetime the cosmological term parameterizes spacetimes resistance to expansion which may be and apparently is at present a it negative resistance ie a tendency toward expansion the three gauge couplings of the strong electromagnetic and weak interactions parameterize resistance to curvature in internal spaces the remaining fundamental couplings of which there are a few dozen supply an ungainly accommodation of inertia the multiplicity and variety of fundamental constants are esthetic and conceptual shortcomings in our present understanding of foundational physics i discuss some ideas for improving the situation i then briefly discuss additional constants primarily cosmological that enter into our best established presentday world model those constants presently appear as macroscopic state parameters ie as empirical material constants of the universe i mention a few ideas for how they might become fundamental constants in a future theory in the course of this essay ive advertised several of my favorite speculations including a few that might be tested soon | [['the', 'notion', 'of', 'fundamental', 'constant', 'is', 'heavily', 'theoryladen', 'a', 'natural', 'fairly', 'precise', 'formulation', 'is', 'possible', 'in', 'the', 'context', 'of', 'the', 'standard', 'model', 'here', 'defined', 'to', 'include', 'gravity', 'some', 'fundamental', 'constants', 'have', 'profound', 'geometric', 'meaning', 'the', 'ordinary', 'gravitational', 'constant', 'parameterizes', 'the', 'stiffness', 'or', 'resistance', 'to', 'curvature', 'of', 'spacetime', 'the', 'cosmological', 'term', 'parameterizes', 'spacetimes', 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708.4362 | The Metallicity of Intergalactic Gas in Cosmic Voids | We have used the Hubble/STIS and FUSE archives of ultraviolet spectra of
bright AGN to identify intergalactic Lya absorbers in nearby (z < 0.1) voids.
From a parent sample of 651 Lya absorbers, we identified 61 void absorbers
located more than 1.4/h_70 Mpc from the nearest L* or brighter galaxy.
Searching for metal absorption in high-quality (S/N > 10) spectra at the
location of three diagnostic metal lines (O VI 1032, C IV 1548, Si III 1206),
we detected no metal lines in any individual absorber, or in any group of
absorbers using pixel co-addition techniques. The best limits on metal-line
absorption in voids were set using four strong Lya absorbers with N(H I) >
10^{14} cm^-2, with 3-sigma equivalent-width limits ranging from 8 mA (O VI),
7-15 mA (C IV), and 4-10 mA (Si III). Photoionization modeling yields
metallicity limits Z < 10^{-1.8+/-0.4} Z_sun, from non-detections of C IV and O
VI, some 6 times lower than those seen in Lya and OVI absorbers at z < 0.1.
Although the void Lya absorbers could be pristine material, considerably deeper
spectra are required to rule out a universal metallicity floor produced by
bursts of early star formation, with no subsequent star formation in the voids.
The most consistent conclusion derived from these low-z results, and similar
searches at z = 3-5, is that galaxy filaments have increased their mean IGM
metallicity by factors of 30-100 since z = 3.
| astro-ph | we have used the hubblestis and fuse archives of ultraviolet spectra of bright agn to identify intergalactic lya absorbers in nearby z 01 voids from a parent sample of 651 lya absorbers we identified 61 void absorbers located more than 14h_70 mpc from the nearest l or brighter galaxy searching for metal absorption in highquality sn 10 spectra at the location of three diagnostic metal lines o vi 1032 c iv 1548 si iii 1206 we detected no metal lines in any individual absorber or in any group of absorbers using pixel coaddition techniques the best limits on metalline absorption in voids were set using four strong lya absorbers with nh i 1014 cm2 with 3sigma equivalentwidth limits ranging from 8 ma o vi 715 ma c iv and 410 ma si iii photoionization modeling yields metallicity limits z 101804 z_sun from nondetections of c iv and o vi some 6 times lower than those seen in lya and ovi absorbers at z 01 although the void lya absorbers could be pristine material considerably deeper spectra are required to rule out a universal metallicity floor produced by bursts of early star formation with no subsequent star formation in the voids the most consistent conclusion derived from these lowz results and similar searches at z 35 is that galaxy filaments have increased their mean igm metallicity by factors of 30100 since z 3 | [['we', 'have', 'used', 'the', 'hubblestis', 'and', 'fuse', 'archives', 'of', 'ultraviolet', 'spectra', 'of', 'bright', 'agn', 'to', 'identify', 'intergalactic', 'lya', 'absorbers', 'in', 'nearby', 'z', '01', 'voids', 'from', 'a', 'parent', 'sample', 'of', '651', 'lya', 'absorbers', 'we', 'identified', '61', 'void', 'absorbers', 'located', 'more', 'than', '14h_70', 'mpc', 'from', 'the', 'nearest', 'l', 'or', 'brighter', 'galaxy', 'searching', 'for', 'metal', 'absorption', 'in', 'highquality', 'sn', '10', 'spectra', 'at', 'the', 'location', 'of', 'three', 'diagnostic', 'metal', 'lines', 'o', 'vi', '1032', 'c', 'iv', '1548', 'si', 'iii', '1206', 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708.4363 | The Influence of Metallicity on Star Formation in Protogalaxies | In cold dark matter cosmological models, the first stars to form are believed
to do so within small protogalaxies. We wish to understand how the evolution of
these early protogalaxies changes once the gas forming them has been enriched
with small quantities of heavy elements, which are produced and dispersed into
the intergalactic medium by the first supernovae. Our initial conditions
represent protogalaxies forming within a fossil H II region, a previously
ionized region that has not yet had time to cool and recombine. We study the
influence of low levels of metal enrichment on the cooling and collapse of
ionized gas in small protogalactic halos using three-dimensional, smoothed
particle hydrodynamics (SPH) simulations that incorporate the effects of the
appropriate chemical and thermal processes. Our previous simulations
demonstrated that for metallicities Z < 0.001 Z_sun, metal line cooling alters
the density and temperature evolution of the gas by less than 1% compared to
the metal-free case at densities below 1 cm-3) and temperatures above 2000 K.
Here, we present the results of high-resolution simulations using particle
splitting to improve resolution in regions of interest. These simulations allow
us to address the question of whether there is a critical metallicity above
which fine structure cooling from metals allows efficient fragmentation to
occur, producing an initial mass function (IMF) resembling the local Salpeter
IMF, rather than only high-mass stars.
| astro-ph | in cold dark matter cosmological models the first stars to form are believed to do so within small protogalaxies we wish to understand how the evolution of these early protogalaxies changes once the gas forming them has been enriched with small quantities of heavy elements which are produced and dispersed into the intergalactic medium by the first supernovae our initial conditions represent protogalaxies forming within a fossil h ii region a previously ionized region that has not yet had time to cool and recombine we study the influence of low levels of metal enrichment on the cooling and collapse of ionized gas in small protogalactic halos using threedimensional smoothed particle hydrodynamics sph simulations that incorporate the effects of the appropriate chemical and thermal processes our previous simulations demonstrated that for metallicities z 0001 z_sun metal line cooling alters the density and temperature evolution of the gas by less than 1 compared to the metalfree case at densities below 1 cm3 and temperatures above 2000 k here we present the results of highresolution simulations using particle splitting to improve resolution in regions of interest these simulations allow us to address the question of whether there is a critical metallicity above which fine structure cooling from metals allows efficient fragmentation to occur producing an initial mass function imf resembling the local salpeter imf rather than only highmass stars | [['in', 'cold', 'dark', 'matter', 'cosmological', 'models', 'the', 'first', 'stars', 'to', 'form', 'are', 'believed', 'to', 'do', 'so', 'within', 'small', 'protogalaxies', 'we', 'wish', 'to', 'understand', 'how', 'the', 'evolution', 'of', 'these', 'early', 'protogalaxies', 'changes', 'once', 'the', 'gas', 'forming', 'them', 'has', 'been', 'enriched', 'with', 'small', 'quantities', 'of', 'heavy', 'elements', 'which', 'are', 'produced', 'and', 'dispersed', 'into', 'the', 'intergalactic', 'medium', 'by', 'the', 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708.4364 | Compton dragged supercritical piles: The GRB prompt and afterglow
scenario | We examine the prompt and afterglow emission within the context of the
Supercritical Pile model for GRBs. For this we have performed self-consistent
calculations, by solving three time-dependent kinetic equations for protons,
electrons and photons in addition to the usual mass and energy conservation
equations. We follow the evolution of the RBW as it sweeps up circumstellar
matter and assume that the swept-up electrons and protons have energies equal
to the Lorentz factor of the flow. While the electrons radiate their energies
through synchrotron and inverse Compton radiation on short timescales, the
protons, at least initially, start accumulating without any dissipation. As the
accumulated mass of relativistic protons increases, however, they can become
supercritical to the `proton-photon pair-production - synchrotron radiation'
network, and, as a consequence, they transfer explosively their stored energy
to secondary electron-positron pairs and radiation. This results in a burst
which has many features similar to the ones observed in GRB prompt emission. We
have included in our calculations the radiation drag force exerted on the flow
from the scattered radiation of the prompt emission on the circumstellar
material. We find that this can decelerate the flow on timescales which are
much faster than the ones related to the usual adiabatic/radiative ones. As a
result the emission exhibits a steep drop just after the prompt phase, in
agreement with the Swift afterglow observations.
| astro-ph | we examine the prompt and afterglow emission within the context of the supercritical pile model for grbs for this we have performed selfconsistent calculations by solving three timedependent kinetic equations for protons electrons and photons in addition to the usual mass and energy conservation equations we follow the evolution of the rbw as it sweeps up circumstellar matter and assume that the sweptup electrons and protons have energies equal to the lorentz factor of the flow while the electrons radiate their energies through synchrotron and inverse compton radiation on short timescales the protons at least initially start accumulating without any dissipation as the accumulated mass of relativistic protons increases however they can become supercritical to the protonphoton pairproduction synchrotron radiation network and as a consequence they transfer explosively their stored energy to secondary electronpositron pairs and radiation this results in a burst which has many features similar to the ones observed in grb prompt emission we have included in our calculations the radiation drag force exerted on the flow from the scattered radiation of the prompt emission on the circumstellar material we find that this can decelerate the flow on timescales which are much faster than the ones related to the usual adiabaticradiative ones as a result the emission exhibits a steep drop just after the prompt phase in agreement with the swift afterglow observations | [['we', 'examine', 'the', 'prompt', 'and', 'afterglow', 'emission', 'within', 'the', 'context', 'of', 'the', 'supercritical', 'pile', 'model', 'for', 'grbs', 'for', 'this', 'we', 'have', 'performed', 'selfconsistent', 'calculations', 'by', 'solving', 'three', 'timedependent', 'kinetic', 'equations', 'for', 'protons', 'electrons', 'and', 'photons', 'in', 'addition', 'to', 'the', 'usual', 'mass', 'and', 'energy', 'conservation', 'equations', 'we', 'follow', 'the', 'evolution', 'of', 'the', 'rbw', 'as', 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'emission', 'we', 'have', 'included', 'in', 'our', 'calculations', 'the', 'radiation', 'drag', 'force', 'exerted', 'on', 'the', 'flow', 'from', 'the', 'scattered', 'radiation', 'of', 'the', 'prompt', 'emission', 'on', 'the', 'circumstellar', 'material', 'we', 'find', 'that', 'this', 'can', 'decelerate', 'the', 'flow', 'on', 'timescales', 'which', 'are', 'much', 'faster', 'than', 'the', 'ones', 'related', 'to', 'the', 'usual', 'adiabaticradiative', 'ones', 'as', 'a', 'result', 'the', 'emission', 'exhibits', 'a', 'steep', 'drop', 'just', 'after', 'the', 'prompt', 'phase', 'in', 'agreement', 'with', 'the', 'swift', 'afterglow', 'observations']] | [-0.051852979153669106, 0.21615901423293898, -0.08014855577286133, 0.13849148676100803, -0.0597057221540516, -0.06967056987715685, 0.009030374041425862, 0.4190554857362128, -0.23198256647447124, -0.3128939344065397, -0.002966686690862324, -0.3494373529517491, 0.0318079492686333, 0.19542488011107448, 0.05059616055950755, -0.006231510483693066, 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708.4365 | Nonabelian localization for gauge theory on the fuzzy sphere | We apply nonabelian equivariant localization techniques to Yang-Mills theory
on the fuzzy sphere to write the partition function entirely as a sum over
local contributions from critical points of the action. The contributions of
the classical saddle-points are evaluated explicitly, and the partition
function of ordinary Yang-Mills theory on the sphere is recovered in the
commutative limit.
| hep-th | we apply nonabelian equivariant localization techniques to yangmills theory on the fuzzy sphere to write the partition function entirely as a sum over local contributions from critical points of the action the contributions of the classical saddlepoints are evaluated explicitly and the partition function of ordinary yangmills theory on the sphere is recovered in the commutative limit | [['we', 'apply', 'nonabelian', 'equivariant', 'localization', 'techniques', 'to', 'yangmills', 'theory', 'on', 'the', 'fuzzy', 'sphere', 'to', 'write', 'the', 'partition', 'function', 'entirely', 'as', 'a', 'sum', 'over', 'local', 'contributions', 'from', 'critical', 'points', 'of', 'the', 'action', 'the', 'contributions', 'of', 'the', 'classical', 'saddlepoints', 'are', 'evaluated', 'explicitly', 'and', 'the', 'partition', 'function', 'of', 'ordinary', 'yangmills', 'theory', 'on', 'the', 'sphere', 'is', 'recovered', 'in', 'the', 'commutative', 'limit']] | [-0.09921435555933338, 0.082088859890702, -0.13055492721073197, 0.1075204732815588, -0.024763753098484716, -0.059816549621979916, 0.05280742471988656, 0.25594377639221455, -0.2695758137525174, -0.21854425349942685, 0.09123477998205967, -0.31808352400140283, -0.20766256324816168, 0.1356587584636975, -0.0658376006033729, 0.03539861165183155, -0.03005983923937668, 0.12111950874851461, -0.13128833023406433, -0.2865293026516794, 0.3406651877520377, -0.05585688521693412, 0.28054322846429913, 0.0672840957137707, 0.11629174711803596, 0.07903752735154213, -0.04140993965822354, 0.04213671600282715, -0.10689343249817428, 0.11021370824483599, 0.2389606349170208, 0.0689931593492235, 0.15789285469636843, -0.42640840554642573, -0.18380148419620176, 0.08569912517672046, 0.13923750452599243, 0.039624778357775586, 0.08828912002214215, -0.25521256251816166, 0.09358971339666791, -0.17402915696597152, -0.1427258988842368, -0.0881017256822241, -0.001979006388992594, -0.023358621487492008, -0.2478451398119592, 0.029994295289119084, 0.010897256834269092, 0.05130463461146543, -0.0780979165390722, -0.09808799046042718, -0.02434467151761055, 0.1508472521887406, 0.06647691099185563, 0.09942686958892043, 0.17874434313393736, -0.17929715643587865, -0.13973443406295, 0.3794925752700421, -0.07431162692802518, -0.27781694588708905, 0.14001249437007987, -0.12186893812593139, -0.11951880589977168, 0.10754222880330003, 0.11038724489902195, 0.1800941672807216, -0.07272680155246665, 0.22808981859921723, -0.05609650599459807, 0.12502724932212578, 0.06865467955440022, 0.007025950669980885, 0.21413274093024565, 0.04085365733491224, 0.05878813371977262, 0.18015006338164471, -0.021892636973541556, -0.1777083863291824, -0.3821560934251338, -0.11582346325903609, -0.20547980929545143, 0.1343679511266058, -0.11866303403803613, -0.23121742276768936, 0.38190650485717414, 0.11743700172927786, 0.15372107895254566, 0.11504054125888567, 0.2873647643024461, 0.18565892225351968, 0.07671632000098103, -0.022189591758018525, 0.19957912533356106, 0.19093264550330086, 0.01523668969891508, -0.20160559690026403, -0.12063901767690192, 0.28053546917477723] |
708.4366 | $G$-stable pieces and partial flag varieties | We will use the combinatorics of the $G$-stable pieces to describe the
closure relation of the partition of partial flag varieties in \cite[section
4]{L3}.
| math.RT | we will use the combinatorics of the gstable pieces to describe the closure relation of the partition of partial flag varieties in citesection 4l3 | [['we', 'will', 'use', 'the', 'combinatorics', 'of', 'the', 'gstable', 'pieces', 'to', 'describe', 'the', 'closure', 'relation', 'of', 'the', 'partition', 'of', 'partial', 'flag', 'varieties', 'in', 'citesection', '4l3']] | [-0.17936341801153807, 0.007193721297274654, -0.1140756841438512, 0.08550455638517936, -0.16184123939213654, -0.007091077393852174, 0.024581921791347366, 0.2669056511173646, -0.38275594046960276, -0.15333492401987314, 0.08467934856404706, -0.28088295195872587, -0.15356857523632547, 0.14097971705875048, -0.19528310652822256, -0.04825571117301782, 0.03434872021898627, 0.05075723848616084, -0.11354954719233017, -0.3386638108640909, 0.442374281391191, -0.06969374464824796, 0.2247114450437948, 0.0756376189334939, 0.10101906675845385, 0.014798966042386988, -0.06532179478866358, 0.015876841265708208, -0.23104351060464978, 0.17986244436663887, 0.3445955323986709, 0.19948004574204484, 0.15120513985554376, -0.406660922182103, -0.041888829825135566, 0.1383567045753201, 0.14638406612599889, 0.03686850781862935, 0.07422144866238038, -0.21398677098720023, 0.07580971686790387, -0.18829914166902503, -0.17935922152052322, -0.06616009230492637, 0.0569194883282762, 0.0611798365910848, -0.16197872262758514, -0.06943365147647758, 0.08038487945062418, 0.0881421404677288, -0.00758701772429049, -0.140599557897076, -0.040303911363783605, 0.14924012124538422, -0.05170658859424293, 0.011786174067916969, 0.04500985508396601, -0.12354351500592504, -0.1402795035392046, 0.35551139401892823, 0.004640092394159486, -0.2467289853763456, 0.09306335424965557, -0.21263994198913375, -0.1831457857042551, 0.11576836144862075, 0.11221300911468764, 0.09523089022453253, -0.014900079113431275, 0.15123483531836732, -0.14800706940392652, 0.06330166206074257, 0.0962204783281777, -0.026420966411630314, 0.16471340695473677, 0.09147701769446333, 0.005205042194575071, 0.1674279933795333, -0.03101478051394224, -0.04117133553760747, -0.35329786657045287, -0.22268160743017992, -0.06564825318249252, 0.14077233010903, -0.08939140941583901, -0.2098322631791234, 0.38589536615957815, 0.09930839618512739, 0.15157053681711355, 0.10522934488835745, 0.20984342211158946, 0.007080175487014155, 0.0422083850329121, -0.035639306996017694, 0.11952312998861696, 0.29352915768201154, -0.03217837474464128, -0.18463284824974835, -0.0029859498414831855, 0.21943740205218396] |
708.4367 | All-sky incoherent search for periodic signals with Explorer 2005 data | The data collected during 2005 by the resonant bar Explorer are divided into
segments and incoherently summed in order to perform an all-sky search for
periodic gravitational wave signals. The parameter space of the search spanned
about 40 Hz in frequency, over 23927 positions in the sky. Neither source
orbital corrections nor spindown parameters have been included, with the result
that the search was sensible to isolated neutron stars with a frequency drift
less than 6 X 10^{-11} Hz/s.
No gravitational wave candidates have been found by means of the present
analysis, which led to a best upper limit of 3.1 X 10^{-23} for the
dimensionless strain amplitude.
| gr-qc | the data collected during 2005 by the resonant bar explorer are divided into segments and incoherently summed in order to perform an allsky search for periodic gravitational wave signals the parameter space of the search spanned about 40 hz in frequency over 23927 positions in the sky neither source orbital corrections nor spindown parameters have been included with the result that the search was sensible to isolated neutron stars with a frequency drift less than 6 x 1011 hzs no gravitational wave candidates have been found by means of the present analysis which led to a best upper limit of 31 x 1023 for the dimensionless strain amplitude | [['the', 'data', 'collected', 'during', '2005', 'by', 'the', 'resonant', 'bar', 'explorer', 'are', 'divided', 'into', 'segments', 'and', 'incoherently', 'summed', 'in', 'order', 'to', 'perform', 'an', 'allsky', 'search', 'for', 'periodic', 'gravitational', 'wave', 'signals', 'the', 'parameter', 'space', 'of', 'the', 'search', 'spanned', 'about', '40', 'hz', 'in', 'frequency', 'over', '23927', 'positions', 'in', 'the', 'sky', 'neither', 'source', 'orbital', 'corrections', 'nor', 'spindown', 'parameters', 'have', 'been', 'included', 'with', 'the', 'result', 'that', 'the', 'search', 'was', 'sensible', 'to', 'isolated', 'neutron', 'stars', 'with', 'a', 'frequency', 'drift', 'less', 'than', '6', 'x', '1011', 'hzs', 'no', 'gravitational', 'wave', 'candidates', 'have', 'been', 'found', 'by', 'means', 'of', 'the', 'present', 'analysis', 'which', 'led', 'to', 'a', 'best', 'upper', 'limit', 'of', '31', 'x', '1023', 'for', 'the', 'dimensionless', 'strain', 'amplitude']] | [-0.14446331178426752, 0.14459420092282577, -0.03594830462917964, 0.055708672220287754, -0.09407910901321986, -0.03177159002472899, 0.08770390555684707, 0.3624553762411124, -0.16010707868350166, -0.3745463397702046, 0.10375381044490768, -0.31389687909248554, -0.021223835507842983, 0.2511807585800954, 0.0479194361011489, 0.014793689441040297, 0.04214651617178015, 0.028850154559537072, -0.063499038827945, -0.2400589985522729, 0.22670306542574942, 0.0669432108390589, 0.18849583800934325, -0.06929622641459943, 0.08564219358877635, -0.015962318606483183, -0.08719291193323715, -0.055668646160994054, -0.14800409797099517, 0.021405269518042, 0.25675169795003033, 0.09322266681467957, 0.2146618026917992, -0.38357352897107044, -0.208132882748304, 0.12557443833222318, 0.1619186037890265, 0.031271452442133606, -0.013960009379852041, -0.33005214834185403, 0.06076633811397391, -0.18005530609287948, -0.12566068651215564, -0.009234002469298995, 0.1286910813058091, 0.029409221029692442, -0.24807751513843504, 0.08848958425158547, 0.025640757284431815, 0.040337096000793084, -0.11552494034501855, -0.12095667927517234, -0.04275620099000424, 0.057179509105038974, 0.06408987263060897, 0.1259736101856786, 0.1311848065467708, -0.05895474688889824, -0.10129943300717484, 0.34234053678658277, -0.10204492026690294, -0.11656757201520708, 0.13024176322968206, -0.22112626515798897, -0.0991204293209746, 0.2517793595477521, 0.15492588354309447, 0.0982466655648444, -0.19520422366064774, 0.06347332951758562, 0.041292763350228995, 0.2670682312520308, 0.14625788092717668, 0.050321839905396175, 0.28931671569790807, 0.1406028787518425, 0.04619471096242212, 0.08453965411417047, -0.2015992971137166, -0.022984073375499695, -0.25695063332781176, -0.06228498540052744, -0.1500625120352197, 0.05536305046301426, -0.06846645241045658, -0.10597644936049654, 0.3711504264229856, 0.12594174520573884, 0.18371664582116304, -0.01293363778038107, 0.2600982744403392, 0.12422787181153963, 0.10005062898603555, 0.08813642271550669, 0.33760078880004585, 0.11769129579808459, 0.08925412805798838, -0.17797214484764873, 0.01348467257578866, 0.011517580265666698] |
708.4368 | Parabolic dunes in north-eastern Brazil | In this work we present measurements of vegetation cover over parabolic dunes
with different degree of activation along the north-eastern Brazilian coast. We
are able to extend the local values of the vegetation cover density to the
whole dune by correlating measurements with the gray-scale levels of a high
resolution satellite image of the dune field. The empirical vegetation
distribution is finally used to validate the results of a recent continuous
model of dune motion coupling sand erosion and vegetation growth.
| physics.geo-ph | in this work we present measurements of vegetation cover over parabolic dunes with different degree of activation along the northeastern brazilian coast we are able to extend the local values of the vegetation cover density to the whole dune by correlating measurements with the grayscale levels of a high resolution satellite image of the dune field the empirical vegetation distribution is finally used to validate the results of a recent continuous model of dune motion coupling sand erosion and vegetation growth | [['in', 'this', 'work', 'we', 'present', 'measurements', 'of', 'vegetation', 'cover', 'over', 'parabolic', 'dunes', 'with', 'different', 'degree', 'of', 'activation', 'along', 'the', 'northeastern', 'brazilian', 'coast', 'we', 'are', 'able', 'to', 'extend', 'the', 'local', 'values', 'of', 'the', 'vegetation', 'cover', 'density', 'to', 'the', 'whole', 'dune', 'by', 'correlating', 'measurements', 'with', 'the', 'grayscale', 'levels', 'of', 'a', 'high', 'resolution', 'satellite', 'image', 'of', 'the', 'dune', 'field', 'the', 'empirical', 'vegetation', 'distribution', 'is', 'finally', 'used', 'to', 'validate', 'the', 'results', 'of', 'a', 'recent', 'continuous', 'model', 'of', 'dune', 'motion', 'coupling', 'sand', 'erosion', 'and', 'vegetation', 'growth']] | [-0.05648331275140798, 0.12246582878431604, -0.11716315292546318, 0.03042734664991314, -0.03311167964654296, -0.024064082318893922, -0.02081569960559316, 0.3373751959901441, -0.24760300889726222, -0.3197473140640391, 0.10297379398252815, -0.2730714281744979, -0.14582280308744053, 0.16493297107718932, -0.12099732142689143, 0.08352962107973225, 0.0614791769048567, -0.058972115708905974, 0.007185646465025198, -0.2475858322793135, 0.2825454747028373, 0.09453430668347412, 0.28087471355396654, 0.07367612062780945, 0.1043328547988225, -0.042157725247060074, -0.07756816584869851, 0.012206578972163025, -0.1988123857565684, 0.13149206250055154, 0.28158890630727934, 0.1152195388244258, 0.20942773501515205, -0.4417968918741853, -0.2441753758876412, 0.06329030920693904, 0.0880762666095922, 0.05074993403697455, -0.006373456509691881, -0.30169686230106485, 0.048473431901247414, -0.17276867547372132, -0.13736219274707967, 0.016130029534300167, -0.02389376108494392, 0.09902750747062748, -0.2540885725484034, 0.07803961010304866, -0.0012359193146780686, 0.13021075879626068, -0.1122836526023385, -0.10960760577236889, -0.12945910320145848, 0.1615154720428917, 0.04574021836599036, -0.009483284190481093, 0.15676165058243055, -0.1494069320500403, -0.025741511927112753, 0.34031861061575236, -0.1355722388748459, -0.13424283682575655, 0.18409388437637209, -0.21584882795304797, -0.08197002384213754, 0.14067724650656735, 0.22424583010559465, 0.05057219540079435, -0.058323620444876545, 0.03723362785473719, -0.11498271904592575, 0.1509241807837913, 0.11883893270436445, -0.07211923983270004, 0.22266435963504108, 0.24944971362703744, 0.1384217446256015, 0.07969948638196069, -0.25361433662014243, -0.047858293451380304, -0.2574813927216225, -0.1299448756955242, -0.11247014094512035, -0.03324221889775844, -0.08084960096141318, -0.1713303587410921, 0.46945853673933463, 0.18400083112036003, 0.2377088096820646, 0.07176666084194074, 0.28084215080296554, -0.00548322487588006, 0.07597693587282535, 0.017299599225135565, 0.1900866907664839, 0.09226563612263604, 0.15645548490445232, -0.21951416933357162, 0.09396866866657626, 0.009834848439182949] |
708.4369 | The size of a pond in 2D invasion percolation | We consider invasion percolation on the square lattice. It has been proved by
van den Berg, Peres, Sidoravicius and Vares, that the probability that the
radius of a so-called pond is larger than n, differs at most a factor of order
log n from the probability that in critical Bernoulli percolation the radius of
an open cluster is larger than n. We show that these two probabilities are, in
fact, of the same order. Moreover, we prove an analogous result for the volume
of a pond.
| math.PR | we consider invasion percolation on the square lattice it has been proved by van den berg peres sidoravicius and vares that the probability that the radius of a socalled pond is larger than n differs at most a factor of order log n from the probability that in critical bernoulli percolation the radius of an open cluster is larger than n we show that these two probabilities are in fact of the same order moreover we prove an analogous result for the volume of a pond | [['we', 'consider', 'invasion', 'percolation', 'on', 'the', 'square', 'lattice', 'it', 'has', 'been', 'proved', 'by', 'van', 'den', 'berg', 'peres', 'sidoravicius', 'and', 'vares', 'that', 'the', 'probability', 'that', 'the', 'radius', 'of', 'a', 'socalled', 'pond', 'is', 'larger', 'than', 'n', 'differs', 'at', 'most', 'a', 'factor', 'of', 'order', 'log', 'n', 'from', 'the', 'probability', 'that', 'in', 'critical', 'bernoulli', 'percolation', 'the', 'radius', 'of', 'an', 'open', 'cluster', 'is', 'larger', 'than', 'n', 'we', 'show', 'that', 'these', 'two', 'probabilities', 'are', 'in', 'fact', 'of', 'the', 'same', 'order', 'moreover', 'we', 'prove', 'an', 'analogous', 'result', 'for', 'the', 'volume', 'of', 'a', 'pond']] | [-0.11530321182902245, 0.16455052418613753, -0.06367265225442893, 0.052614977892816946, 0.020791189235580317, -0.1069552344872671, 0.0451060055371593, 0.3268233002546956, -0.20085891984430526, -0.2333647460621946, 0.08073040411040625, -0.3157666681005674, -0.17718677225741833, 0.184038127712248, -0.07242652468164178, 0.033834152018158314, -0.009353521077291054, 0.09764852745129782, -0.02653791068450493, -0.3171363180585425, 0.3279823759365279, 0.03608478525215212, 0.25069060621728356, 0.0808614903157029, 0.03958962784313104, 0.0038942030137952637, 0.014481439561966588, 0.06542149195310605, -0.21807068073745434, 0.07532952631659368, 0.1695809971924652, 0.0722998201737509, 0.31619095052866375, -0.35306339176809964, -0.1920337088406086, 0.12056414892020471, 0.149816347313497, 0.12053712365381858, 0.024059928648228594, -0.2559447344611673, 0.12871573692571153, -0.1621847188428921, -0.1606002118465874, 0.034673402524169755, 0.10125502656926127, 0.03027528013814898, -0.26955122318776215, 0.07883532561142655, 0.11283246053054052, 0.012879633717238903, 0.01324904106064316, -0.16173062752384473, 0.0073396617984947034, 0.1049736383042353, -0.023659683425691636, 0.045718939761247704, 0.07588450983714531, -0.10406042592709555, -0.09391291417619761, 0.3380625563509324, -0.019485372470979416, -0.10075178678859682, 0.15736825438764165, -0.19479664687395973, -0.14517055113306818, 0.12560252593008472, 0.09332270017441581, 0.100965576487429, -0.08131884390159565, 0.10149374263402185, -0.11716999400352292, 0.1850122232140754, 0.1511905345353572, -0.05969438332626048, 0.10920497794799945, 0.15685656117686234, 0.14604449050281854, 0.13502734938348807, -0.0777326796669513, -0.12169721305699033, -0.25556910580352826, -0.18087572870118654, -0.24894113580093663, 0.1211341380552553, -0.15697272876260446, -0.17460429429569665, 0.27225374364677596, 0.13697252382579095, 0.24552091481711935, 0.11514727886327926, 0.17454287759850132, 0.12453857841079725, 0.042283525087815875, 0.10694348140729262, 0.2014050513944205, 0.11773321602548308, 0.011972072704092545, -0.17674700746257954, 0.08314123702071169, 0.14977203295240862] |
708.437 | Fibonacci-like sequences and shift spaces in symbolic dynamics | We afford the problem of counting the blocks of a given length made with
symbols drawn from an alphabet and relate this number to Fibonacci-like
recurrent relations. The recurrence polynomia allows to calculate the limit
ratio of two adjacent terms and this information is used to determine the
topological entropy of a discrete numbers of associate shift spaces. We then
describe a scheme to build a shift space with a pre-selected entropy.
| math.DS | we afford the problem of counting the blocks of a given length made with symbols drawn from an alphabet and relate this number to fibonaccilike recurrent relations the recurrence polynomia allows to calculate the limit ratio of two adjacent terms and this information is used to determine the topological entropy of a discrete numbers of associate shift spaces we then describe a scheme to build a shift space with a preselected entropy | [['we', 'afford', 'the', 'problem', 'of', 'counting', 'the', 'blocks', 'of', 'a', 'given', 'length', 'made', 'with', 'symbols', 'drawn', 'from', 'an', 'alphabet', 'and', 'relate', 'this', 'number', 'to', 'fibonaccilike', 'recurrent', 'relations', 'the', 'recurrence', 'polynomia', 'allows', 'to', 'calculate', 'the', 'limit', 'ratio', 'of', 'two', 'adjacent', 'terms', 'and', 'this', 'information', 'is', 'used', 'to', 'determine', 'the', 'topological', 'entropy', 'of', 'a', 'discrete', 'numbers', 'of', 'associate', 'shift', 'spaces', 'we', 'then', 'describe', 'a', 'scheme', 'to', 'build', 'a', 'shift', 'space', 'with', 'a', 'preselected', 'entropy']] | [-0.1491381407413684, 0.12405185609532055, -0.09658822095887341, 0.07769731066393024, -0.08307874685441943, -0.10477244981866278, 0.11684413916680594, 0.32695776830151885, -0.32017922238774704, -0.26615448073897197, 0.07063891469340274, -0.26900615867470806, -0.11473729256147021, 0.17573890209355406, -0.0958053512354447, 0.03921796437221724, 0.01021607058831084, 0.1217648633427813, -0.1106447189665911, -0.2464132061700376, 0.33510138819807433, -0.019059920394924323, 0.26934285336633174, -0.029613329438676297, 0.1386052464253046, 0.024746518669007216, -0.06965507269167984, 0.020821875019874553, -0.18292501598635924, 0.18052994022572177, 0.24026762274369387, 0.13009904422075816, 0.23370796602061936, -0.3733299653452467, -0.17909825720470135, 0.16603231703547736, 0.11130820651223856, 0.09784270145825412, 0.024177185915620396, -0.23067143042637428, 0.08563807308936203, -0.18481432350227792, -0.10698355546116199, -0.04327929048785861, 0.0445718019652983, 0.029421218874221538, -0.2846099525217859, -0.0374622369959006, 0.033403877300066005, 0.010481445525418704, -0.015618523609870389, -0.04855992104595815, -0.007017564051456644, 0.17748423840220964, 0.014257280690543038, 0.034837763269536824, 0.05737254832884375, -0.04079226334251358, -0.13135167960943261, 0.35774116418783514, -0.038762385979898166, -0.23575916280314116, 0.13749050977311925, -0.11791587790185717, -0.1490598146436395, 0.12618664185136136, 0.16098469326561185, 0.09009305208685323, -0.10105142129821257, 0.04521097506324328, -0.06070755380140224, 0.21804352726420045, 0.10493755914782449, 0.08501118784901542, 0.20394583279922815, 0.1133554396547482, 0.04808267266948668, 0.23045763850841725, -0.08230413094615485, -0.04811237765800759, -0.2894664299477574, -0.19667151213859693, -0.20697830870098263, 0.05918732879053749, -0.07227936358163199, -0.209860395233501, 0.37713153290899076, 0.15725317087129387, 0.28950664409580573, 0.12886712360392574, 0.22100836774465485, 0.14832108302540342, 0.06556399166584015, 0.041575649254758595, 0.11608489839569994, 0.20065675962644197, 0.055985654376342266, -0.19734446500086975, 0.015594923560520713, 0.1536213204159703] |
708.4371 | Bernoulli free-boundary problems in strip-like domains and a property of
permanent waves in water of finite depth | We study weak solutions for a class of free boundary problems which includes
as a special case the classical problem of traveling waves on water of finite
depth. We show that such problems are equivalent to problems in fixed domains
and study the regularity of their solutions. We also prove that in very general
situations the free boundary is necessarily the graph of a function.
| math.CV math.AP | we study weak solutions for a class of free boundary problems which includes as a special case the classical problem of traveling waves on water of finite depth we show that such problems are equivalent to problems in fixed domains and study the regularity of their solutions we also prove that in very general situations the free boundary is necessarily the graph of a function | [['we', 'study', 'weak', 'solutions', 'for', 'a', 'class', 'of', 'free', 'boundary', 'problems', 'which', 'includes', 'as', 'a', 'special', 'case', 'the', 'classical', 'problem', 'of', 'traveling', 'waves', 'on', 'water', 'of', 'finite', 'depth', 'we', 'show', 'that', 'such', 'problems', 'are', 'equivalent', 'to', 'problems', 'in', 'fixed', 'domains', 'and', 'study', 'the', 'regularity', 'of', 'their', 'solutions', 'we', 'also', 'prove', 'that', 'in', 'very', 'general', 'situations', 'the', 'free', 'boundary', 'is', 'necessarily', 'the', 'graph', 'of', 'a', 'function']] | [-0.14367138697550846, 0.0710389375829926, -0.04971017371863127, 0.09589627967753377, -0.08123679032477622, -0.10637314814644364, -0.001174297957466199, 0.35195080288327657, -0.31268630732710545, -0.2221758193622988, 0.1753090441173229, -0.26787104308963394, -0.16757852817670657, 0.22593838043797473, -0.09249400161923124, 0.08611715948209167, 0.11644061825309808, 0.05590989351845704, -0.08138801420125394, -0.20469335875912711, 0.3944876758954846, -0.07778304078831122, 0.23855755988221902, 0.11552913984140524, 0.11503339074552059, -0.004399166084252871, 0.031125770050745745, 0.10347884773061826, -0.18230216325945758, 0.08986607635071357, 0.25820256809775644, 0.09796017928120608, 0.2970839424416996, -0.4194642793960296, -0.2706926818507222, 0.14523258643368117, 0.09805285474285483, 0.13650918521810895, -0.02843456077389419, -0.22321095555089415, 0.12384017191540736, -0.09061134856624099, -0.1675454282416747, 0.011392108243531906, 0.008071169944909903, 0.07687416760824048, -0.2787981096082009, 0.06639421047383132, 0.08178618576091069, 0.031241300874031507, -0.12473731762371384, -0.06870683961583732, 0.022865073239574065, 0.09719059081175006, 0.06738850034128588, -0.017944740482534353, 0.03267536214911021, -0.19627790088550404, -0.08733696795713443, 0.42062083087288415, -0.054299075829868135, -0.2691849679041367, 0.23805790616629216, -0.12045816749047775, -0.13905365454892699, 0.07997098763724073, 0.18402589628329644, 0.231940671056509, -0.10542421015695884, 0.1396822453969015, -0.12624032319380113, 0.12497661155290328, 0.0893414317486951, 0.006815504545095162, 0.12190022090306649, 0.10824581978556055, 0.18956002796498628, 0.2150755600287364, -0.0016866352158383681, -0.08976788182671254, -0.3601176256743761, -0.15664582231010382, -0.1356474903770364, 0.030436333225896724, -0.08328716023086319, -0.2650732977530704, 0.39614902906692945, 0.11899711806595756, 0.1474386492672448, 0.08366030810150103, 0.20638482083494847, 0.15171017497061537, 0.003922987066639157, 0.07395598496525334, 0.19033636627002404, 0.11567623007397812, 0.0805304200675052, -0.1766793455122612, 0.00885029210565755, 0.0922197990406018] |
708.4372 | Non-Equilibrium Quantum Dissipation | Dissipative processes in non-equilibrium many-body systems are fundamentally
different than their equilibrium counterparts. Such processes are of great
importance for the understanding of relaxation in single molecule devices. As a
detailed case study, we investigate here a generic spin-fermion model, where a
two-level system couples to two metallic leads with different chemical
potentials. We present results for the spin relaxation rate in the nonadiabatic
limit for an arbitrary coupling to the leads, using both analytical and exact
numerical methods. The non-equilibrium dynamics is reflected by an exponential
relaxation at long times and via complex phase shifts, leading in some cases to
an "anti-orthogonality" effect. In the limit of strong system-lead coupling at
zero temperature we demonstrate the onset of a Marcus-like Gaussian decay with
{\it voltage difference} activation. This is analogous to the equilibrium
spin-boson model, where at strong coupling and high temperatures the spin
excitation rate manifests temperature activated Gaussian behavior. We find that
there is no simple linear relationship between the role of the temperature in
the bosonic system and a voltage drop in a non-equilibrium electronic case. The
two models also differ by the orthogonality-catastrophe factor existing in a
fermionic system, which modifies the resulting lineshapes. Implications for
current characteristics are discussed. We demonstrate the violation of
pair-wise Coulomb gas behavior for strong coupling to the leads. The results
presented in this paper form the basis of an exact, non-perturbative
description of steady-state quantum dissipative systems.
| cond-mat.mes-hall | dissipative processes in nonequilibrium manybody systems are fundamentally different than their equilibrium counterparts such processes are of great importance for the understanding of relaxation in single molecule devices as a detailed case study we investigate here a generic spinfermion model where a twolevel system couples to two metallic leads with different chemical potentials we present results for the spin relaxation rate in the nonadiabatic limit for an arbitrary coupling to the leads using both analytical and exact numerical methods the nonequilibrium dynamics is reflected by an exponential relaxation at long times and via complex phase shifts leading in some cases to an antiorthogonality effect in the limit of strong systemlead coupling at zero temperature we demonstrate the onset of a marcuslike gaussian decay with it voltage difference activation this is analogous to the equilibrium spinboson model where at strong coupling and high temperatures the spin excitation rate manifests temperature activated gaussian behavior we find that there is no simple linear relationship between the role of the temperature in the bosonic system and a voltage drop in a nonequilibrium electronic case the two models also differ by the orthogonalitycatastrophe factor existing in a fermionic system which modifies the resulting lineshapes implications for current characteristics are discussed we demonstrate the violation of pairwise coulomb gas behavior for strong coupling to the leads the results presented in this paper form the basis of an exact nonperturbative description of steadystate quantum dissipative systems | [['dissipative', 'processes', 'in', 'nonequilibrium', 'manybody', 'systems', 'are', 'fundamentally', 'different', 'than', 'their', 'equilibrium', 'counterparts', 'such', 'processes', 'are', 'of', 'great', 'importance', 'for', 'the', 'understanding', 'of', 'relaxation', 'in', 'single', 'molecule', 'devices', 'as', 'a', 'detailed', 'case', 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708.4373 | Systematic calculation of molecular vibrational spectra through a
complete Morse expansion | We propose an accurate and efficient method to compute vibrational spectra of
molecules, based on exact diagonalization of an algebraically calculated matrix
based on powers of Morse coordinate. The present work focuses on the 1D
potential of diatomic molecules: as typical examples, we apply this method to
the standard Lennard-Jones oscillator, and to the ab initio potential of the H2
molecule. Global cm-1 accuracy is exhibited through the H2 spectrum, obtained
through the diagonalization of a 30 x 30 matrix. This theory is at the root of
a new method to obtain globally accurate vibrational spectral data in the
context of the multi-dimensional potential of polyatomic molecules, at an
affordable computational cost.
| physics.chem-ph physics.comp-ph | we propose an accurate and efficient method to compute vibrational spectra of molecules based on exact diagonalization of an algebraically calculated matrix based on powers of morse coordinate the present work focuses on the 1d potential of diatomic molecules as typical examples we apply this method to the standard lennardjones oscillator and to the ab initio potential of the h2 molecule global cm1 accuracy is exhibited through the h2 spectrum obtained through the diagonalization of a 30 x 30 matrix this theory is at the root of a new method to obtain globally accurate vibrational spectral data in the context of the multidimensional potential of polyatomic molecules at an affordable computational cost | [['we', 'propose', 'an', 'accurate', 'and', 'efficient', 'method', 'to', 'compute', 'vibrational', 'spectra', 'of', 'molecules', 'based', 'on', 'exact', 'diagonalization', 'of', 'an', 'algebraically', 'calculated', 'matrix', 'based', 'on', 'powers', 'of', 'morse', 'coordinate', 'the', 'present', 'work', 'focuses', 'on', 'the', '1d', 'potential', 'of', 'diatomic', 'molecules', 'as', 'typical', 'examples', 'we', 'apply', 'this', 'method', 'to', 'the', 'standard', 'lennardjones', 'oscillator', 'and', 'to', 'the', 'ab', 'initio', 'potential', 'of', 'the', 'h2', 'molecule', 'global', 'cm1', 'accuracy', 'is', 'exhibited', 'through', 'the', 'h2', 'spectrum', 'obtained', 'through', 'the', 'diagonalization', 'of', 'a', '30', 'x', '30', 'matrix', 'this', 'theory', 'is', 'at', 'the', 'root', 'of', 'a', 'new', 'method', 'to', 'obtain', 'globally', 'accurate', 'vibrational', 'spectral', 'data', 'in', 'the', 'context', 'of', 'the', 'multidimensional', 'potential', 'of', 'polyatomic', 'molecules', 'at', 'an', 'affordable', 'computational', 'cost']] | [-0.08241353444671924, 0.011583573240386613, -0.05661768091210563, 0.009605637976034944, 0.00019087697728537023, -0.1210316865887892, 0.07010949402319966, 0.3968063759052062, -0.2368122574532338, -0.2589576777079076, 0.033702862763935366, -0.27137485980970916, -0.13156278772346144, 0.18762817561426864, 0.022379574016667902, 0.055311518866801634, 0.0762998644453806, 0.047561699216852764, -0.08802910380109097, -0.20572920295359967, 0.2530149129213117, 0.10589014405351398, 0.2217411843843625, 0.09108966585232078, 0.10345559277110235, -0.022354484452599927, 0.005385619588196278, -0.06812926426729453, -0.15385668272418634, 0.22525611069535703, 0.23541192610615067, 0.0623139133884771, 0.2511546302620055, -0.4557234476087615, -0.19281713377651094, 0.06071433917012265, 0.17395613641877258, 0.1526332315406762, -0.04041508094906021, -0.25628234405303374, 0.03988943629831608, -0.15771684166143782, -0.16478010885683553, -0.1483645700562712, 0.023123595560069328, 0.04004182651572462, -0.27477223126749906, 0.11693477251018132, -0.06153069152995678, 0.11688492696599237, -0.09077187793861542, -0.15313814570046297, -0.008283334210448499, 0.05829686061562305, -0.008078318301288943, 0.015919361138782864, 0.165540967760275, -0.054489049420226365, -0.06623612327634223, 0.4398096603856954, -0.11761598892709506, -0.18529912993627867, 0.19070048714015034, -0.09196272775963214, -0.12963523223463977, 0.2080357331599641, 0.13705766559412172, 0.17258992115966976, -0.14301376153265924, 0.09557185347200305, 0.004068902839208022, 0.20028284210171218, 0.022039614210370928, 0.017029244228199656, 0.12075545501595895, 0.15550439997709223, 0.053822793116393895, 0.15073595805110276, -0.11995595405720191, -0.08735300041735172, -0.23782479728314293, -0.16641431867771775, -0.2615821913308797, 0.0558551105911777, -0.0876306227538797, -0.18588183283074095, 0.41922513260838706, 0.10044519937530692, 0.1526373933135931, 0.06461843175929971, 0.2967431003115572, 0.11140877441565473, 0.005389992205891758, 0.02003912020050588, 0.20189337450678327, 0.16253501947669843, 0.06423813602305017, -0.27938579430337995, -0.048459421032540764, 0.09769886312590513] |
708.4374 | A Renormalization Group Approach to the Cosmological Constant Problem | In an earlier paper, it is proposed that, due to resonance tunneling effect,
tunneling from a large cosmological constant $\Lambda$ site in the stringy
comic landscape can be fast, while tunneling from a small $\Lambda$ site may
take exponentially long time. Borrowing the renormalization group analysis of
the conductance in the Anderson localization transition, we treat the landscape
as a multi-dimensional random potential and find that the vastness of the
landscape leads to a sharp transition at a small critical value $\Lambda_{c}$
from fast tunneling for $\Lambda > \Lambda_{c} $ to suppressed tunneling for
$\Lambda_{c} > \Lambda >0$. Mobility in the landscape makes eternal inflation
highly unlikely. As an illustration, we find that $\Lambda_{c}$ can easily be
exponentially small compared to the string/Planck scale. These properties may
help us in finding a qualitative understanding why today's dark energy is so
small.
| hep-th | in an earlier paper it is proposed that due to resonance tunneling effect tunneling from a large cosmological constant lambda site in the stringy comic landscape can be fast while tunneling from a small lambda site may take exponentially long time borrowing the renormalization group analysis of the conductance in the anderson localization transition we treat the landscape as a multidimensional random potential and find that the vastness of the landscape leads to a sharp transition at a small critical value lambda_c from fast tunneling for lambda lambda_c to suppressed tunneling for lambda_c lambda 0 mobility in the landscape makes eternal inflation highly unlikely as an illustration we find that lambda_c can easily be exponentially small compared to the stringplanck scale these properties may help us in finding a qualitative understanding why todays dark energy is so small | [['in', 'an', 'earlier', 'paper', 'it', 'is', 'proposed', 'that', 'due', 'to', 'resonance', 'tunneling', 'effect', 'tunneling', 'from', 'a', 'large', 'cosmological', 'constant', 'lambda', 'site', 'in', 'the', 'stringy', 'comic', 'landscape', 'can', 'be', 'fast', 'while', 'tunneling', 'from', 'a', 'small', 'lambda', 'site', 'may', 'take', 'exponentially', 'long', 'time', 'borrowing', 'the', 'renormalization', 'group', 'analysis', 'of', 'the', 'conductance', 'in', 'the', 'anderson', 'localization', 'transition', 'we', 'treat', 'the', 'landscape', 'as', 'a', 'multidimensional', 'random', 'potential', 'and', 'find', 'that', 'the', 'vastness', 'of', 'the', 'landscape', 'leads', 'to', 'a', 'sharp', 'transition', 'at', 'a', 'small', 'critical', 'value', 'lambda_c', 'from', 'fast', 'tunneling', 'for', 'lambda', 'lambda_c', 'to', 'suppressed', 'tunneling', 'for', 'lambda_c', 'lambda', '0', 'mobility', 'in', 'the', 'landscape', 'makes', 'eternal', 'inflation', 'highly', 'unlikely', 'as', 'an', 'illustration', 'we', 'find', 'that', 'lambda_c', 'can', 'easily', 'be', 'exponentially', 'small', 'compared', 'to', 'the', 'stringplanck', 'scale', 'these', 'properties', 'may', 'help', 'us', 'in', 'finding', 'a', 'qualitative', 'understanding', 'why', 'todays', 'dark', 'energy', 'is', 'so', 'small']] | [-0.12954300734975857, 0.19944084524946035, -0.11063258816236562, 0.1482057928049896, -0.07201662299352406, -0.17716432116198333, 0.059485739843076924, 0.3294404550951763, -0.28975742814355415, -0.2718097329221285, 0.02085450938715851, -0.2935793015878158, -0.1277045543529909, 0.16204032854578138, -0.0033354952074859264, 0.0017873292897630782, 0.04326253598148044, 0.029612049922673373, 0.02493303899150206, -0.1878676287537563, 0.2829485633954351, 0.09585576640598367, 0.26611025838086205, 0.10487222861172292, -0.006409516993121509, -0.014951523850556382, 0.056368427758995636, 0.04001178366070899, -0.1901483940033146, 0.030944361811143475, 0.2446773248575084, 0.04308330388671725, 0.2902169020890673, -0.4036110704424825, -0.18579759928363845, 0.12344241360487947, 0.2379545546034827, 0.20290526309404114, -0.04345402301690222, -0.30401598115580797, 0.07207082754279738, -0.1440831326631435, -0.1383274228645176, -0.09681353035525683, 0.054930490900483665, -0.026625310275176825, -0.26701186611962907, 0.08384016087961921, -0.047707259253918256, -0.023724852561488423, -0.038189426224243685, -0.0666158957811358, -0.004502573417649217, 0.09447518376171263, 0.09731154544550898, 0.06144471324548587, 0.15180302574809124, -0.1260969692596445, -0.06826499509319228, 0.36376971264716484, -0.09862266010502829, -0.12388485356533124, 0.16364224350086692, -0.1679574536078059, -0.09522378626177563, 0.18504369919303887, 0.10508942449750909, 0.08564610998180226, -0.11006013746883203, 0.13979237690443908, 0.02814125666568178, 0.18065692935254507, 0.057973955460504566, 0.02671957566797135, 0.24744527202344288, 0.1909932142096388, 0.09116200584897867, 0.08218742568678067, -0.08796929153375817, -0.10451660863885208, -0.29959643531563507, -0.12020982401513487, -0.1861225881335074, 0.15152173415999043, -0.10912022077855331, -0.20494250764213776, 0.34010946351599736, 0.16593993433927914, 0.2863154723716859, 0.028159468737260922, 0.24325354490429163, 0.11951836414573999, 0.07408813299971503, 0.018155863562965915, 0.21863133203319823, 0.06694220791632025, 0.13216105426906397, -0.25991226814476515, 0.061715458261433744, -0.0005387676961339303] |
708.4375 | Rapid Tunneling and Percolation in the Landscape | Motivated by the possibility of a string landscape, we reexamine tunneling of
a scalar field across single/multiple barriers. Recent investigations have
suggested modifications to the usual picture of false vacuum decay that lead to
efficient and rapid tunneling in the landscape when certain conditions are met.
This can be due to stringy effects (e.g. tunneling via the DBI action), or by
effects arising due to the presence of multiple vacua (e.g. resonance
tunneling). In this paper we discuss both DBI tunneling and resonance
tunneling. We provide a QFT treatment of resonance tunneling using the
Schr\"odinger functional approach. We also show how DBI tunneling for
supercritical barriers can naturally lead to conditions suitable for resonance
tunneling. We argue using basic ideas from percolation theory that tunneling
can be rapid in a landscape where a typical vacuum has multiple decay channels
and discuss various cosmological implications. This rapidity vacuum decay can
happen even if there are no resonance/DBI tunneling enhancements, solely due to
the presence of a large number of decay channels. Finally, we consider various
ways of circumventing a recent no-go theorem for resonance tunneling in quantum
field theory.
| hep-th | motivated by the possibility of a string landscape we reexamine tunneling of a scalar field across singlemultiple barriers recent investigations have suggested modifications to the usual picture of false vacuum decay that lead to efficient and rapid tunneling in the landscape when certain conditions are met this can be due to stringy effects eg tunneling via the dbi action or by effects arising due to the presence of multiple vacua eg resonance tunneling in this paper we discuss both dbi tunneling and resonance tunneling we provide a qft treatment of resonance tunneling using the schrodinger functional approach we also show how dbi tunneling for supercritical barriers can naturally lead to conditions suitable for resonance tunneling we argue using basic ideas from percolation theory that tunneling can be rapid in a landscape where a typical vacuum has multiple decay channels and discuss various cosmological implications this rapidity vacuum decay can happen even if there are no resonancedbi tunneling enhancements solely due to the presence of a large number of decay channels finally we consider various ways of circumventing a recent nogo theorem for resonance tunneling in quantum field theory | [['motivated', 'by', 'the', 'possibility', 'of', 'a', 'string', 'landscape', 'we', 'reexamine', 'tunneling', 'of', 'a', 'scalar', 'field', 'across', 'singlemultiple', 'barriers', 'recent', 'investigations', 'have', 'suggested', 'modifications', 'to', 'the', 'usual', 'picture', 'of', 'false', 'vacuum', 'decay', 'that', 'lead', 'to', 'efficient', 'and', 'rapid', 'tunneling', 'in', 'the', 'landscape', 'when', 'certain', 'conditions', 'are', 'met', 'this', 'can', 'be', 'due', 'to', 'stringy', 'effects', 'eg', 'tunneling', 'via', 'the', 'dbi', 'action', 'or', 'by', 'effects', 'arising', 'due', 'to', 'the', 'presence', 'of', 'multiple', 'vacua', 'eg', 'resonance', 'tunneling', 'in', 'this', 'paper', 'we', 'discuss', 'both', 'dbi', 'tunneling', 'and', 'resonance', 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708.4376 | Fast estimation of multivariate stochastic volatility | In this paper we develop a Bayesian procedure for estimating multivariate
stochastic volatility (MSV) using state space models. A multiplicative model
based on inverted Wishart and multivariate singular beta distributions is
proposed for the evolution of the volatility, and a flexible sequential
volatility updating is employed. Being computationally fast, the resulting
estimation procedure is particularly suitable for on-line forecasting. Three
performance measures are discussed in the context of model selection: the
log-likelihood criterion, the mean of standardized one-step forecast errors,
and sequential Bayes factors. Finally, the proposed methods are applied to a
data set comprising eight exchange rates vis-a-vis the US dollar.
| q-fin.ST stat.AP stat.ME | in this paper we develop a bayesian procedure for estimating multivariate stochastic volatility msv using state space models a multiplicative model based on inverted wishart and multivariate singular beta distributions is proposed for the evolution of the volatility and a flexible sequential volatility updating is employed being computationally fast the resulting estimation procedure is particularly suitable for online forecasting three performance measures are discussed in the context of model selection the loglikelihood criterion the mean of standardized onestep forecast errors and sequential bayes factors finally the proposed methods are applied to a data set comprising eight exchange rates visavis the us dollar | [['in', 'this', 'paper', 'we', 'develop', 'a', 'bayesian', 'procedure', 'for', 'estimating', 'multivariate', 'stochastic', 'volatility', 'msv', 'using', 'state', 'space', 'models', 'a', 'multiplicative', 'model', 'based', 'on', 'inverted', 'wishart', 'and', 'multivariate', 'singular', 'beta', 'distributions', 'is', 'proposed', 'for', 'the', 'evolution', 'of', 'the', 'volatility', 'and', 'a', 'flexible', 'sequential', 'volatility', 'updating', 'is', 'employed', 'being', 'computationally', 'fast', 'the', 'resulting', 'estimation', 'procedure', 'is', 'particularly', 'suitable', 'for', 'online', 'forecasting', 'three', 'performance', 'measures', 'are', 'discussed', 'in', 'the', 'context', 'of', 'model', 'selection', 'the', 'loglikelihood', 'criterion', 'the', 'mean', 'of', 'standardized', 'onestep', 'forecast', 'errors', 'and', 'sequential', 'bayes', 'factors', 'finally', 'the', 'proposed', 'methods', 'are', 'applied', 'to', 'a', 'data', 'set', 'comprising', 'eight', 'exchange', 'rates', 'visavis', 'the', 'us', 'dollar']] | [-0.026981708435022143, 0.01516297995569367, -0.09226375100129813, 0.18309832014275862, -0.07128348318613409, -0.16902276303838282, 0.0894368462065947, 0.43053449927966164, -0.25245531580830904, -0.24975983975637778, 0.15722302795506501, -0.22707530696803302, -0.15310915020824062, 0.21124914341250106, -0.09871462003702261, 0.10723945964127779, 0.04949171242404583, -0.01390624905744677, -0.07653379356305973, -0.29139885750106154, 0.262503749044959, 0.1001593581419073, 0.34757380684216815, -0.08665887946285782, 0.15496308512079207, 0.030948589574180396, -0.09829813840755663, -0.006641763098384984, -0.10868174148559132, 0.17050568101124144, 0.25622786917911605, 0.150106709445918, 0.35561156966358276, -0.34294879924752475, -0.18291725912222676, 0.15104792851443385, 0.08448237983033965, 0.05684441663142221, -0.0018748962377453699, -0.26250364903734963, 0.009722545804620227, -0.23105829148399232, -0.058842820010385384, -0.1510690504904179, -0.04058597251480701, 0.009666009299347507, -0.4015801270656726, 0.12344033276096132, 0.0048242578597958476, 0.04428397868754223, -0.026661612075187413, -0.16748990038838968, 0.03333010010229533, 0.07049835129531429, 0.07435648009984516, -0.050829979273782785, 0.13156304486077644, -0.07457425424089546, -0.14196286495665417, 0.3260095836526221, -0.07517190980005954, -0.2580502455524516, 0.1111148881712271, -0.06832737488873011, -0.1475852991627785, 0.11283060811533063, 0.23282823333626285, 0.08560861859415822, -0.23600012606338544, 0.06126906794516424, 0.006040384143810062, 0.11625806338669659, -0.008240512197873756, -0.0757659377676307, 0.1270892254611039, 0.239269482248061, 0.06671970126712147, 0.10684959541129715, -0.1805850321760255, -0.17393749254280885, -0.2601761509773924, -0.13857164700497307, -0.15919301993962304, -0.030436714561016976, -0.18369187918156682, -0.22326390016093559, 0.4139560689994444, 0.17340691942566386, 0.14808030836466773, 0.12393784617055573, 0.29500266027582045, 0.13714180968821107, -0.029526550048852667, 0.09184279189189422, 0.15372756358656084, 0.11819582404203567, 0.07964931467237572, -0.16725687771652112, 0.18965451623422697, 0.06106638347766563] |
708.4377 | Harmonic contact metric structures, and submersions | We study harmonic almost contact structures in the context of contact metric
manifolds, and an analysis is carried out when such a manifold fibres over an
almost Hermitian manifold, as exemplified by the Boothby-Wang fibration. Two
types of almost contact metric warped products are also studied, relating their
harmonicity to that of the almost Hermitian structure on the base or fibre.
| math.DG | we study harmonic almost contact structures in the context of contact metric manifolds and an analysis is carried out when such a manifold fibres over an almost hermitian manifold as exemplified by the boothbywang fibration two types of almost contact metric warped products are also studied relating their harmonicity to that of the almost hermitian structure on the base or fibre | [['we', 'study', 'harmonic', 'almost', 'contact', 'structures', 'in', 'the', 'context', 'of', 'contact', 'metric', 'manifolds', 'and', 'an', 'analysis', 'is', 'carried', 'out', 'when', 'such', 'a', 'manifold', 'fibres', 'over', 'an', 'almost', 'hermitian', 'manifold', 'as', 'exemplified', 'by', 'the', 'boothbywang', 'fibration', 'two', 'types', 'of', 'almost', 'contact', 'metric', 'warped', 'products', 'are', 'also', 'studied', 'relating', 'their', 'harmonicity', 'to', 'that', 'of', 'the', 'almost', 'hermitian', 'structure', 'on', 'the', 'base', 'or', 'fibre']] | [-0.2376236667490152, 0.028377682379481274, -0.0549438583557723, 0.05441424425607395, -0.031716955062307296, -0.13626754075502517, -0.03634834699580812, 0.45009177202572587, -0.26950718932708756, -0.19564361757308732, 0.1395139560336247, -0.2769597075635292, -0.22786350156272167, 0.21707250188165877, -0.06992434005665242, 0.012617421641823699, 0.09131456430635003, 0.09587722800130055, -0.12441307788363612, -0.28493783934057126, 0.5124200220967903, 0.0670588618510815, 0.24619079162901053, 0.04920834239541751, 0.11755731182753063, 0.02742569566872276, -0.035157160886914514, 0.048430556232934116, -0.11644517551388565, 0.0963235910157444, 0.21681768908241733, 0.03766908782885456, 0.12887541550120002, -0.37051956758635946, -0.20642945168875768, 0.14615809361709922, 0.1150692258656147, -0.02594097157115819, 0.05601772493262943, -0.30978659271705344, 0.06239789980081994, -0.12866026022639432, -0.16018472250825802, -0.11100294811986998, -0.006313870034989764, -0.019309080751673854, -0.13889986381686645, -0.067617669934884, 0.13666824226985214, 0.12440704717682521, -0.07910781235388312, -0.06567680589915788, -0.09137752520867058, 0.1342386534675139, 0.06570624182626728, 0.007726228960072164, 0.1398576749717725, -0.06121710774900972, -0.07718639174995363, 0.36908879501317615, -0.11944250929642652, -0.2743546581353809, 0.13980654853426652, -0.09501029258654987, -0.10424090469194973, 0.13473061924097968, 0.13994018226617672, 0.16891491097840863, -0.12688521190272592, 0.11112942940414287, -0.04600432690721555, 0.08500802978018268, 0.15467752547568228, -0.04055237074642152, 0.16164099644930635, 0.13648439456372843, 0.14403159110272518, 0.1089337528912259, -0.008603031308100115, -0.14785770867826212, -0.315014764239065, -0.2246959148371806, -0.12225181574276725, 0.22027791722211987, -0.12412684396282411, -0.21284980663541156, 0.3595418292479437, -0.08583742847330257, 0.24258360555242808, 0.04618601864356486, 0.24206173126814795, -0.039232104927011326, 0.058039500519297405, 0.04141681058881957, 0.24866471411354962, 0.24272608155857955, 0.02215739722615566, -0.06999844069149895, -0.06509906220723127, 0.07059640478587052] |
708.4378 | A rate-independent model for the isothermal quasi-static evolution of
shape-memory materials | This note addresses a three-dimensional model for isothermal stress-induced
transformation in shape-memory polycrystalline materials. We treat the problem
within the framework of the energetic formulation of rate-independent processes
and investigate existence and continuous dependence issues at both the
constitutive relation and quasi-static evolution level. Moreover, we focus on
time and space approximation as well as on regularization and parameter
asymptotics.
| math.AP | this note addresses a threedimensional model for isothermal stressinduced transformation in shapememory polycrystalline materials we treat the problem within the framework of the energetic formulation of rateindependent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasistatic evolution level moreover we focus on time and space approximation as well as on regularization and parameter asymptotics | [['this', 'note', 'addresses', 'a', 'threedimensional', 'model', 'for', 'isothermal', 'stressinduced', 'transformation', 'in', 'shapememory', 'polycrystalline', 'materials', 'we', 'treat', 'the', 'problem', 'within', 'the', 'framework', 'of', 'the', 'energetic', 'formulation', 'of', 'rateindependent', 'processes', 'and', 'investigate', 'existence', 'and', 'continuous', 'dependence', 'issues', 'at', 'both', 'the', 'constitutive', 'relation', 'and', 'quasistatic', 'evolution', 'level', 'moreover', 'we', 'focus', 'on', 'time', 'and', 'space', 'approximation', 'as', 'well', 'as', 'on', 'regularization', 'and', 'parameter', 'asymptotics']] | [-0.09335772312867145, 0.105889882449992, -0.044366459470863144, 0.07897798158810473, -0.06243045811230938, -0.08534132143637786, 0.057406621209035315, 0.3635475852837165, -0.29643627541760603, -0.2967130477074534, 0.11249390210141427, -0.24735199962742627, -0.2006528809045752, 0.1404006603755988, -0.006670682892824213, 0.10580144391860813, -0.011003639874979853, -0.06610216284170747, -0.10509332569005589, -0.14810717749254157, 0.34069209028966724, 0.04005711392189066, 0.3180206276010722, 0.06286816920619458, 0.1419065348027895, 0.05673782886005938, 0.009133558060663441, 0.04496383832253438, -0.2016707029620496, 0.0007183660733668754, 0.20855981980760893, 0.018790814885869624, 0.27173567516729236, -0.45609935550019143, -0.2794369514216669, 0.04794942319082717, 0.10887827516222993, 0.08336575346741787, -0.017101486248429866, -0.21054296977818013, 0.00616218924211959, -0.11618076177934805, -0.13166601885847437, -0.1172572094326218, -0.012819321360439062, 0.016779024930049975, -0.25678690189185244, 0.14492730814593718, 0.0955288746219594, 0.05893519062083215, -0.18316443922619025, -0.07152558295056224, 0.02997136420647924, 0.05855528172881653, 0.08216154849894035, -0.009293946287652944, 0.1232323995946596, -0.12162190101031835, -0.06396577938770255, 0.4165024704299867, -0.05393224762907873, -0.21195334404086072, 0.16559932792248824, -0.1297439484546582, -0.17050185029705364, 0.04761850836997231, 0.23342956957252076, 0.1506387246772647, -0.16339161805808544, 0.12682367705565412, 0.018215439034005007, 0.10884513594210148, 0.04512895301061993, 0.014311967774604757, 0.15321795550795894, 0.24023046003033718, -0.0004640726372599602, 0.17136824924188357, -0.06291797941861053, -0.109483828729329, -0.32810161070277294, -0.1611127419397235, -0.1323212688943992, 0.012782530661206692, -0.1027227438663734, -0.21448752523089448, 0.3598724918905646, 0.14599228310398757, 0.178252293014278, 0.07217782870866359, 0.2605387979730343, 0.09948763077845797, -0.023919711199899513, 0.049825552563803895, 0.22094822188373656, 0.14581267855440577, 0.13386337216943503, -0.25224889793122807, 0.10747394767434647, 0.11270952086585263] |
708.4379 | A system for the simulation of simultaneous moves between two
noncolocational players | We describe a new system for the simulation of simultaneous moves between
noncolocational players. This has applications in the burgeoning
Rock-Paper-Scissors by mail movement.
| cs.GT | we describe a new system for the simulation of simultaneous moves between noncolocational players this has applications in the burgeoning rockpaperscissors by mail movement | [['we', 'describe', 'a', 'new', 'system', 'for', 'the', 'simulation', 'of', 'simultaneous', 'moves', 'between', 'noncolocational', 'players', 'this', 'has', 'applications', 'in', 'the', 'burgeoning', 'rockpaperscissors', 'by', 'mail', 'movement']] | [-0.155111332990877, 0.07144942521320088, -0.08424891418089038, 0.01723539608065039, -0.014400703913491705, -0.14989606839726152, 0.10313153995767883, 0.386131524067858, -0.28200054848971573, -0.3056879145619662, 0.04192796932108214, -0.283863318193218, -0.18511103409463944, 0.17396125942468643, -0.1573274048531185, -0.025317903608083725, 0.0880370170039975, 0.017203806929857186, 0.042993898382005485, -0.2118500583683667, 0.27511649416840595, -0.003957780159038046, 0.2391264530951562, 0.011304182931780815, 0.1462530470655664, 0.10274682543240488, 0.015021134410863337, -0.0016927400036998417, -0.13900802215642255, 0.11098482532669669, 0.2287012432580409, 0.1840537356455689, 0.3917180578345838, -0.4406716405697491, -0.24588551588923388, 0.1006349295620685, 0.12277215354792449, 0.16068572585430482, -0.08572462751813557, -0.309186268557349, 0.04250129373015269, -0.2677120838476264, -0.12252313477675551, -0.06789055405913488, 0.07514969517638825, 0.0780795931654132, -0.24197298646702067, -0.01930059255708171, -0.012815102794379725, 0.13207617389929036, -0.014546461848785048, -0.03487347825126642, 0.0496672195908816, 0.2779966243542731, 0.046811932454938476, -0.059910317356495754, 0.08864882711888007, -0.18613733803731916, -0.23750901505675004, 0.39695641803352727, -0.026718940980651456, -0.13045478029095608, 0.21096567830334054, -0.0743693184390988, -0.1514596866403261, 0.080191468415053, 0.24705573394084754, 0.08253205087764756, -0.1409101133113322, 0.049919090962604336, -0.11444452562895806, 0.13981849015892847, 0.010713064061153842, -0.045778627790834595, 0.20024990411880222, 0.2528359514620641, 0.11723727437303118, 0.17794395367736401, -0.04903721875187172, -0.19037731032332647, -0.2568910939052053, -0.19597177616442027, -0.15417571992451407, 0.002408870212409807, -0.03261915134751926, -0.09421213412576396, 0.4356699874219687, 0.185834812729255, 0.10495500914428545, -0.019585396082180996, 0.3324772088343035, 0.025444610206329304, 0.0600110382327567, 0.08405050222316514, 0.20373128411238609, 0.028729767832176192, 0.1969023861557893, -0.2223017563962418, 0.0819202279165873, 0.03194034622435499] |
708.438 | Computer Assembly of Cluster-Forming Amphiphilic Dendrimers | Recent theoretical studies have predicted a new clustering mechanism for soft
matter particles that interact via a certain kind of purely repulsive, bounded
potentials. At sufficiently high densities, clusters of overlapping particles
are formed in the fluid, which upon further compression crystallize into cubic
lattices with density-independent lattice constants. In this work we show that
amphiphilic dendrimers are suitable colloids for the experimental realization
of this phenomenon. Thereby, we pave the way for the synthesis of such
macromolecules, which form the basis for a novel class of materials with
unusual properties.
| cond-mat.soft | recent theoretical studies have predicted a new clustering mechanism for soft matter particles that interact via a certain kind of purely repulsive bounded potentials at sufficiently high densities clusters of overlapping particles are formed in the fluid which upon further compression crystallize into cubic lattices with densityindependent lattice constants in this work we show that amphiphilic dendrimers are suitable colloids for the experimental realization of this phenomenon thereby we pave the way for the synthesis of such macromolecules which form the basis for a novel class of materials with unusual properties | [['recent', 'theoretical', 'studies', 'have', 'predicted', 'a', 'new', 'clustering', 'mechanism', 'for', 'soft', 'matter', 'particles', 'that', 'interact', 'via', 'a', 'certain', 'kind', 'of', 'purely', 'repulsive', 'bounded', 'potentials', 'at', 'sufficiently', 'high', 'densities', 'clusters', 'of', 'overlapping', 'particles', 'are', 'formed', 'in', 'the', 'fluid', 'which', 'upon', 'further', 'compression', 'crystallize', 'into', 'cubic', 'lattices', 'with', 'densityindependent', 'lattice', 'constants', 'in', 'this', 'work', 'we', 'show', 'that', 'amphiphilic', 'dendrimers', 'are', 'suitable', 'colloids', 'for', 'the', 'experimental', 'realization', 'of', 'this', 'phenomenon', 'thereby', 'we', 'pave', 'the', 'way', 'for', 'the', 'synthesis', 'of', 'such', 'macromolecules', 'which', 'form', 'the', 'basis', 'for', 'a', 'novel', 'class', 'of', 'materials', 'with', 'unusual', 'properties']] | [-0.10903135555601873, 0.23551531966038786, -0.08823401602189783, 0.009640992831459248, -0.07297213758075875, -0.13123548328160092, 0.03652366570575715, 0.41036107947865685, -0.25860273110895204, -0.2678497368776864, 0.007786747237032914, -0.25241242181305046, -0.18338028328227146, 0.15877306904480026, 0.04644054661064849, 0.05033228134833645, 0.04808966261539403, -0.037428269981519206, -0.022303412484189312, -0.21210240019014576, 0.2740274487615942, 0.01904745938180905, 0.26458998904614656, 0.06716150619028198, 0.06595470810534207, -0.004643160890746903, 0.06369545697081057, 0.03856932534580375, -0.18207269362100414, 0.16706773445616568, 0.2134594823551047, -0.012761850483142413, 0.21419197187380312, -0.46699921254600796, -0.28805285737245945, 0.09870572905516722, 0.15951749962846656, 0.1490974207792513, -0.17316693973799163, -0.2567967777447468, 0.08266244975435497, -0.1509704370982945, -0.1595415009676919, -0.12054127970567116, 0.009351988328150013, 0.09290474419901659, -0.2580457550913587, 0.10071553540119267, 0.08425703586416912, 0.03889037710665674, -0.1146094459262523, -0.12161929561029915, 0.03141467680049303, 0.05782374767791275, 0.006647821597673081, -0.01116682696258547, 0.1444003524944432, -0.16080398181361238, -0.08862440150927056, 0.43215116307876267, -0.029640873648471885, -0.17048010696797083, 0.2410189209321698, -0.10248896544082807, -0.2007633449386928, 0.15889609782639277, 0.18225676286453893, 0.11368412317728603, -0.14611190160388474, 0.06881498534918078, -0.058989429918046184, 0.1304427484603046, 0.0719904012589173, 0.05233837231727583, 0.2589356670217527, 0.1997766354847904, 0.023122718693320075, 0.16976157165577654, 0.010994985274929594, -0.09240402605712086, -0.2550935800095181, -0.16122506481114324, -0.19494186804353536, 0.004736802510016567, -0.10001114790153863, -0.19813645444298675, 0.3376393369629283, 0.08886138008201269, 0.22922591936702913, 0.04771172369646093, 0.2152163776323445, 0.023463238143249528, 0.10038089819232023, -0.019288658653130078, 0.24759611405514098, 0.10390915933505192, 0.06637119999216808, -0.18634587186542187, 0.03934584002798566, 0.06180273322948219] |
708.4381 | Automorphisms of Galois Coverings of Generic $m$-Canonical Projections | The automorphism group of the Galois covering induced by a pluri-canonical
generic covering of a projective space is investigated. It is shown that by
means of such coverings one obtains, in dimensions one and two, serieses of
specific actions of the symmetric groups $S_d$ on curves and surfaces not
deformable to an action of $S_d$ which is not the full automorphism group. As
an application, new DIF $\ne$ DEF examples for $G$-varieties in complex and
real geometry are given.
| math.AG | the automorphism group of the galois covering induced by a pluricanonical generic covering of a projective space is investigated it is shown that by means of such coverings one obtains in dimensions one and two serieses of specific actions of the symmetric groups s_d on curves and surfaces not deformable to an action of s_d which is not the full automorphism group as an application new dif ne def examples for gvarieties in complex and real geometry are given | [['the', 'automorphism', 'group', 'of', 'the', 'galois', 'covering', 'induced', 'by', 'a', 'pluricanonical', 'generic', 'covering', 'of', 'a', 'projective', 'space', 'is', 'investigated', 'it', 'is', 'shown', 'that', 'by', 'means', 'of', 'such', 'coverings', 'one', 'obtains', 'in', 'dimensions', 'one', 'and', 'two', 'serieses', 'of', 'specific', 'actions', 'of', 'the', 'symmetric', 'groups', 's_d', 'on', 'curves', 'and', 'surfaces', 'not', 'deformable', 'to', 'an', 'action', 'of', 's_d', 'which', 'is', 'not', 'the', 'full', 'automorphism', 'group', 'as', 'an', 'application', 'new', 'dif', 'ne', 'def', 'examples', 'for', 'gvarieties', 'in', 'complex', 'and', 'real', 'geometry', 'are', 'given']] | [-0.15330775596465593, 0.09819220503507098, -0.07058361101035888, 0.025571940751829877, -0.08693685271562292, -0.11413392738009301, -0.045574965952441863, 0.37887780245345754, -0.29499061233722246, -0.25779375080496836, 0.12634266332353059, -0.268904264538716, -0.16923660969134802, 0.24376287286241466, -0.14299961287552157, -0.018076442408924684, -0.01678342094274763, 0.1318566283891694, -0.08591554707620674, -0.30433923977976424, 0.4179692909312554, -0.061718687671833694, 0.19759449375291857, 0.04507557417337711, 0.14408073452516243, 0.03573955909516185, -0.005990348010061261, 0.021099081459583547, -0.10216251058992408, 0.11758402974989551, 0.2658470602383694, 0.08187400833225976, 0.14607706532264367, -0.3369247989060405, -0.20190059086188483, 0.15748518939989692, 0.10379611634506056, 0.009360778818611437, -0.06894008691858453, -0.2828310810459348, 0.08389488552720883, -0.18232823964447165, -0.12858133477708086, -0.08223375563438122, 0.07065071513016637, -0.002606896528353294, -0.22242119202676874, -0.048602851280847036, 0.07017504230428201, 0.14413445535450217, -0.037127345275038325, -0.07245611313443917, -0.08863306185230613, 0.128788866663877, -0.015228380099870265, 0.02238339825700491, 0.10790892984741965, -0.13108353236785683, -0.11139177680552866, 0.4374041099769947, -0.04924429525645115, -0.23247037250071, 0.1675602279339308, -0.15248430007397054, -0.15010093922058168, 0.16972910939978483, 0.11432820153780855, 0.1808396115576705, -0.03513594809919596, 0.1651542243788031, -0.11763035825592502, 0.1334783641475205, 0.05608905549161136, -0.06768663761874613, 0.12639097527612764, 0.12084473731617133, 0.12409860105253756, 0.10742614093051554, 0.003905620011023413, -0.05359634372572868, -0.362313303618859, -0.20525045782470933, -0.13083362334575027, 0.08806201342220167, -0.10618699429566429, -0.16001013613668663, 0.41501882017399067, 0.0013734777668828312, 0.18404555046118987, 0.030645956692751497, 0.23763523475290874, 0.03617430774297995, 0.0873904468682714, 0.04822559201588424, 0.138579564073529, 0.16966476149928683, -0.09951164049860568, -0.14891759246492234, -0.030208224633660834, 0.14539827281633058] |
708.4382 | Sensitivity of photonic crystal fiber grating sensors: biosensing,
refractive index, strain, and temperature sensing | We study the sensitivity of fiber grating sensors in the applications of
strain, temperature, internal label-free biosensing, and internal refractive
index sensing. It is shown that optical dispersion plays a central role in
determining the sensitivity, and the dispersion may enhance or suppress
sensitivity as well as change the sign of the resonant wavelength shifts. We
propose a quality factor, $Q$, for characterizing LPGs.
| physics.optics | we study the sensitivity of fiber grating sensors in the applications of strain temperature internal labelfree biosensing and internal refractive index sensing it is shown that optical dispersion plays a central role in determining the sensitivity and the dispersion may enhance or suppress sensitivity as well as change the sign of the resonant wavelength shifts we propose a quality factor q for characterizing lpgs | [['we', 'study', 'the', 'sensitivity', 'of', 'fiber', 'grating', 'sensors', 'in', 'the', 'applications', 'of', 'strain', 'temperature', 'internal', 'labelfree', 'biosensing', 'and', 'internal', 'refractive', 'index', 'sensing', 'it', 'is', 'shown', 'that', 'optical', 'dispersion', 'plays', 'a', 'central', 'role', 'in', 'determining', 'the', 'sensitivity', 'and', 'the', 'dispersion', 'may', 'enhance', 'or', 'suppress', 'sensitivity', 'as', 'well', 'as', 'change', 'the', 'sign', 'of', 'the', 'resonant', 'wavelength', 'shifts', 'we', 'propose', 'a', 'quality', 'factor', 'q', 'for', 'characterizing', 'lpgs']] | [-0.158179551863762, 0.15846513590908476, -0.036529363509977146, -0.018631055808833077, -0.06599759124958562, -0.09833963540574861, 0.025837038155822528, 0.45677031564807136, -0.251169380687532, -0.3311536174917978, 0.08684079265887183, -0.23897118576698834, -0.18650872803234037, 0.21215208956513495, -0.05592335250583433, 0.05023471097506228, -0.02376618554280001, 0.014395727007280267, -0.012572194815480284, -0.09277341248733657, 0.252845318928834, 0.12292438911067115, 0.35251381196495557, 0.10738768406389725, 0.07085034117058274, 0.08718236632245992, -0.03045050504188689, 0.009516916784738738, -0.11671664038849053, 0.11248598394117185, 0.2737891806496514, 0.006846219478618531, 0.25630288622859454, -0.33128732818341444, -0.25504417980592403, 0.11365760166552805, 0.15671367962504662, 0.08124353884468002, -0.08272666745035658, -0.21380669181604708, 0.029085629590092196, -0.13179545780082072, -0.19518990975819409, -0.0875821007888705, 0.028253758961837443, 0.0004902881799295308, -0.2663354104355214, 0.08195111652215321, 0.017602592900705833, 0.07669428126916053, -0.05812092441769819, -0.0880744654818305, -0.02960921188683382, 0.1535317251968774, -0.014442691124886983, -0.015104828712840876, 0.258829559347341, -0.1836042179622584, -0.05529881778749682, 0.4061025217681798, -0.1001917504131381, -0.1268496885895729, 0.13331699542819508, -0.14193823940992828, -0.04801888976778303, 0.12040931293888697, 0.2186119050556232, 0.05970373828821476, -0.058659251099304546, 0.033967465189995154, 0.07493851673124093, 0.24968694582847611, 0.180788459999132, 0.15277592977508903, 0.21432226664933657, 0.2048403191202808, 0.08459669378186975, 0.13959384632725563, -0.16430390176791992, 0.061575418530357265, -0.22700565961736535, -0.19522764978723395, -0.1400904669943783, 0.047711037491108214, -0.1324086568964135, -0.155268977116701, 0.3887724888230127, 0.14153595355391088, 0.15236012322739476, -0.06554133931381835, 0.3029057793910541, 0.15903454241047185, 0.09984595974582056, -0.04793953763261911, 0.34525840754605946, 0.1841837534355739, 0.11183286848522368, -0.2974432603426514, 0.0528204490741094, -0.016454530938986748] |
708.4383 | ILC Sensitivity on Generic New Physics in Quartic Gauge Couplings | We investigate the potential of the ILC for measuring anomalous quartic gauge
couplings, both in production of three electroweak gauge bosons as well as in
vector boson scattering. Any new physics that could possibly couple to the
electroweak gauge bosons is classified according to its spin and isospin
quantum numbers and parameterized in terms of resonance parameters like masses,
widths, magnetic moment form factors etc. By a maximum log-likelihood fit, the
discovery reach of a 1 TeV ILC for scalar, vector and tensor resonances is
examined.
| hep-ph | we investigate the potential of the ilc for measuring anomalous quartic gauge couplings both in production of three electroweak gauge bosons as well as in vector boson scattering any new physics that could possibly couple to the electroweak gauge bosons is classified according to its spin and isospin quantum numbers and parameterized in terms of resonance parameters like masses widths magnetic moment form factors etc by a maximum loglikelihood fit the discovery reach of a 1 tev ilc for scalar vector and tensor resonances is examined | [['we', 'investigate', 'the', 'potential', 'of', 'the', 'ilc', 'for', 'measuring', 'anomalous', 'quartic', 'gauge', 'couplings', 'both', 'in', 'production', 'of', 'three', 'electroweak', 'gauge', 'bosons', 'as', 'well', 'as', 'in', 'vector', 'boson', 'scattering', 'any', 'new', 'physics', 'that', 'could', 'possibly', 'couple', 'to', 'the', 'electroweak', 'gauge', 'bosons', 'is', 'classified', 'according', 'to', 'its', 'spin', 'and', 'isospin', 'quantum', 'numbers', 'and', 'parameterized', 'in', 'terms', 'of', 'resonance', 'parameters', 'like', 'masses', 'widths', 'magnetic', 'moment', 'form', 'factors', 'etc', 'by', 'a', 'maximum', 'loglikelihood', 'fit', 'the', 'discovery', 'reach', 'of', 'a', '1', 'tev', 'ilc', 'for', 'scalar', 'vector', 'and', 'tensor', 'resonances', 'is', 'examined']] | [-0.12100814615219269, 0.2848756152400097, 0.004662499178287594, 0.15638387212692217, -0.11339044540059255, -0.18465868030068314, 0.0031548830860586795, 0.3246656718858799, -0.21783054477080357, -0.2884448632424654, 0.024896453076507896, -0.2835397033540662, -0.0471121599724473, 0.11343205946519277, 0.11466314347980675, 0.09105142479326554, 0.00116323753731152, 0.0578592004048703, -0.05427914655085133, -0.2618618963427062, 0.2942265156483234, 0.010666865821613735, 0.16838008532744594, 0.10486064746713288, 0.10444843061376623, 0.044026273064488586, 0.031409209186000056, -0.06754560550198643, -0.07773387081541058, 0.062313466506122156, 0.18341174413352598, 0.059903890982833365, 0.13413922609977944, -0.3067334419939407, -0.14199842367494522, 0.15458753958431093, 0.17610216378044813, 0.10259821265394431, -0.04691142594268502, -0.32834430943719695, 0.06537315467112632, -0.1828000160518947, -0.13670642607774974, -0.14943598924193877, -0.02463053805796906, -0.06172682054687378, -0.3305607901258004, 0.07113140241546166, -0.03880468858703754, 0.07782563616164288, -0.049589010687858995, -0.19996306946674405, -0.056110347028236925, -0.011501706443553748, 0.13766926649936237, 0.04039069975260645, 0.18280236228087612, -0.2517650582351137, -0.22051718747811824, 0.428909222476271, -0.12768367965987257, -0.2141518804602065, 0.15760577404546702, -0.16263000462420804, -0.13244232169330813, 0.09881638404155194, 0.2642221580974238, 0.032173759858990306, -0.181706627570959, 0.17037302019889466, 0.030664814159620638, 0.12755774898010544, 0.0683785101377167, 0.06545482574269003, 0.25753400258200115, 0.13538271308400082, 0.0035084777641608274, 0.0848491413215565, -0.07966597348202539, -0.07756014083252223, -0.4091306871647925, -0.16562037997294304, -0.11970430564915024, 0.06805544744278196, -0.07861223635294198, -0.11277340578868292, 0.40866298959211467, 0.11326016244196961, 0.26478366393576985, -0.00028608776872631077, 0.25502951086774944, 0.1181553804212748, 0.11557829770432829, -0.005154829326107405, 0.3513298575593115, 0.22923459177890923, 0.07067831246139006, -0.23199896429405484, -0.030833234575977767, 0.0828379446878856] |
708.4384 | Thermohaline mixing in low-mass giants: RGB and beyond | Thermohaline mixing has recently been proposed to occur in low mass red
giants, with large consequence for the chemical yields of low mass stars. We
investigate the role of thermohaline mixing during the evolution of stars
between 1 Msun and 3 Msun. We use a stellar evolution code which includes
rotational mixing and internal magnetic fields. We confirm that thermohaline
mixing has the potential to destroy most of the helium 3 which is produced
earlier on the main sequence during the red giant stage, in stars below
1.5Msun. We find this process to continue during core helium burning and
beyond. We find rotational and magnetic mixing to be negligible compared to the
thermohaline mixing in the relevant layers, even if the interaction of
thermohaline motions with the differential rotation may be essential to
establish the time scale of thermohaline mixing in red giants.
| astro-ph | thermohaline mixing has recently been proposed to occur in low mass red giants with large consequence for the chemical yields of low mass stars we investigate the role of thermohaline mixing during the evolution of stars between 1 msun and 3 msun we use a stellar evolution code which includes rotational mixing and internal magnetic fields we confirm that thermohaline mixing has the potential to destroy most of the helium 3 which is produced earlier on the main sequence during the red giant stage in stars below 15msun we find this process to continue during core helium burning and beyond we find rotational and magnetic mixing to be negligible compared to the thermohaline mixing in the relevant layers even if the interaction of thermohaline motions with the differential rotation may be essential to establish the time scale of thermohaline mixing in red giants | [['thermohaline', 'mixing', 'has', 'recently', 'been', 'proposed', 'to', 'occur', 'in', 'low', 'mass', 'red', 'giants', 'with', 'large', 'consequence', 'for', 'the', 'chemical', 'yields', 'of', 'low', 'mass', 'stars', 'we', 'investigate', 'the', 'role', 'of', 'thermohaline', 'mixing', 'during', 'the', 'evolution', 'of', 'stars', 'between', '1', 'msun', 'and', '3', 'msun', 'we', 'use', 'a', 'stellar', 'evolution', 'code', 'which', 'includes', 'rotational', 'mixing', 'and', 'internal', 'magnetic', 'fields', 'we', 'confirm', 'that', 'thermohaline', 'mixing', 'has', 'the', 'potential', 'to', 'destroy', 'most', 'of', 'the', 'helium', '3', 'which', 'is', 'produced', 'earlier', 'on', 'the', 'main', 'sequence', 'during', 'the', 'red', 'giant', 'stage', 'in', 'stars', 'below', '15msun', 'we', 'find', 'this', 'process', 'to', 'continue', 'during', 'core', 'helium', 'burning', 'and', 'beyond', 'we', 'find', 'rotational', 'and', 'magnetic', 'mixing', 'to', 'be', 'negligible', 'compared', 'to', 'the', 'thermohaline', 'mixing', 'in', 'the', 'relevant', 'layers', 'even', 'if', 'the', 'interaction', 'of', 'thermohaline', 'motions', 'with', 'the', 'differential', 'rotation', 'may', 'be', 'essential', 'to', 'establish', 'the', 'time', 'scale', 'of', 'thermohaline', 'mixing', 'in', 'red', 'giants']] | [-0.06467099712471237, 0.26058982459867336, -0.032839165114752066, 0.07831221406877058, -0.06931494065996754, -0.022889901077947937, 0.0661967618340444, 0.38045594828216345, -0.20792386993208992, -0.35488825032187926, 0.056534201460336886, -0.20653199155691204, -0.06904070614674292, 0.1434492589547657, -0.07045727223809158, -0.03410003224055615, 0.1211960175940832, -0.040880028799931696, -0.03335566636194456, -0.22883925132349237, 0.3147779749315623, 0.01735001270353169, 0.13190341854819676, 0.003066624768755653, 0.03338416229764169, -0.16493397662692894, -0.04325377095980778, -0.09728053843902125, -0.17646971267960043, -0.04902903312309222, 0.16263758691420152, 0.09455738121715303, 0.2185084858870173, -0.41366051610272664, -0.21418963822819476, 0.09521282496178275, 0.22048988445316786, 0.13417042906956186, -0.10030690968847489, -0.2031855831538177, 0.0828217186971561, -0.1854708046071114, -0.1544891468646539, -0.014187656714209726, 0.044448117390144745, -0.010385555504997085, -0.29955265493868116, 0.1044037053483649, 0.10003067183078729, 0.09627515755974772, -0.0481838289749242, -0.15675985712681773, -0.1540623409282807, 0.1408963433069574, 0.09653202620260841, 0.00832453728946564, 0.10991972166771342, -0.10164896520082611, 0.0350996882693803, 0.40717383175827826, -0.1574062316684977, -0.05885569451676382, 0.2332513174497998, -0.2192838942588118, -0.17745831809364832, 0.12433484117858686, 0.1749106260159841, 0.1222029098706854, -0.12485781379721382, 0.0015929112902034882, 0.04576622504884234, 0.16803372550065387, 0.0900543137108321, 0.01932243726027387, 0.26406718303377813, 0.23197892573303902, 0.024757075247231062, 0.04827679237969532, -0.19358632198886594, -0.1040395686656914, -0.22955278716851157, -0.14113151374227412, -0.07382620121450066, 0.05789717408369289, -0.10090463463879693, -0.14078235297327066, 0.3248604624829307, 0.14594883868434969, 0.20730561359013736, -0.0027434321338558323, 0.30653682851291203, 0.10677389739003111, 0.14947541355858784, 0.10186460576038701, 0.3481842921134996, 0.26541254650866547, 0.10858298678901958, -0.3134264516956792, 0.09200478336037872, 0.03705640843991268] |
708.4385 | Stellar Models and Yields of Asymptotic Giant Branch Stars | We present stellar yields calculated from detailed models of low and
intermediate-mass asymptotic giant branch (AGB) stars. We evolve models with a
range of mass from 1 to 6Msun, and initial metallicities from solar to 1/200th
of the solar metallicity. Each model was evolved from the zero age main
sequence to near the end of the thermally-pulsing AGB phase, and through all
intermediate phases including the core He-flash for stars initially less
massive than 2.5Msun. For each mass and metallicity, we provide tables
containing structural details of the stellar models during the TP-AGB phase,
and tables of the stellar yields for 74 species from hydrogen through to
sulphur, and for a small number of iron-group nuclei. All tables are available
for download. Our results have many applications including use in population
synthesis studies and the chemical evolution of galaxies and stellar systems,
and for comparison to the composition of AGB and post-AGB stars and planetary
nebulae.
| astro-ph | we present stellar yields calculated from detailed models of low and intermediatemass asymptotic giant branch agb stars we evolve models with a range of mass from 1 to 6msun and initial metallicities from solar to 1200th of the solar metallicity each model was evolved from the zero age main sequence to near the end of the thermallypulsing agb phase and through all intermediate phases including the core heflash for stars initially less massive than 25msun for each mass and metallicity we provide tables containing structural details of the stellar models during the tpagb phase and tables of the stellar yields for 74 species from hydrogen through to sulphur and for a small number of irongroup nuclei all tables are available for download our results have many applications including use in population synthesis studies and the chemical evolution of galaxies and stellar systems and for comparison to the composition of agb and postagb stars and planetary nebulae | [['we', 'present', 'stellar', 'yields', 'calculated', 'from', 'detailed', 'models', 'of', 'low', 'and', 'intermediatemass', 'asymptotic', 'giant', 'branch', 'agb', 'stars', 'we', 'evolve', 'models', 'with', 'a', 'range', 'of', 'mass', 'from', '1', 'to', '6msun', 'and', 'initial', 'metallicities', 'from', 'solar', 'to', '1200th', 'of', 'the', 'solar', 'metallicity', 'each', 'model', 'was', 'evolved', 'from', 'the', 'zero', 'age', 'main', 'sequence', 'to', 'near', 'the', 'end', 'of', 'the', 'thermallypulsing', 'agb', 'phase', 'and', 'through', 'all', 'intermediate', 'phases', 'including', 'the', 'core', 'heflash', 'for', 'stars', 'initially', 'less', 'massive', 'than', '25msun', 'for', 'each', 'mass', 'and', 'metallicity', 'we', 'provide', 'tables', 'containing', 'structural', 'details', 'of', 'the', 'stellar', 'models', 'during', 'the', 'tpagb', 'phase', 'and', 'tables', 'of', 'the', 'stellar', 'yields', 'for', '74', 'species', 'from', 'hydrogen', 'through', 'to', 'sulphur', 'and', 'for', 'a', 'small', 'number', 'of', 'irongroup', 'nuclei', 'all', 'tables', 'are', 'available', 'for', 'download', 'our', 'results', 'have', 'many', 'applications', 'including', 'use', 'in', 'population', 'synthesis', 'studies', 'and', 'the', 'chemical', 'evolution', 'of', 'galaxies', 'and', 'stellar', 'systems', 'and', 'for', 'comparison', 'to', 'the', 'composition', 'of', 'agb', 'and', 'postagb', 'stars', 'and', 'planetary', 'nebulae']] | [-0.0058363765628347474, 0.1655047708431319, -0.05111694251517615, 0.07366127419856287, -0.04937544934030983, -0.030436578219861635, 0.10509854454411975, 0.40365216470053117, -0.116828651180596, -0.38225662554464035, 0.06180087540133466, -0.287045204765614, -0.020100239775474035, 0.21253133687611309, -0.049058928400758775, -0.012956913782944602, 0.14176181931228887, -0.05048276098997092, -0.06724893941934551, -0.2560315837437708, 0.3420202895878784, 0.018362700116009482, 0.09780822967088991, -0.06634301335340546, 0.03406616040174999, -0.1347831700068538, -0.04200963870952687, -0.10171397715927132, -0.16623377622736077, 0.05139625828352667, 0.23957451317896372, 0.19252552196623818, 0.17576508046758751, -0.3782341839805726, -0.21476141777971097, 0.05376884010770629, 0.21484702593466687, 0.11561368718262642, -0.11859181160407682, -0.2009481997409415, 0.10158133557321684, -0.21614289315672772, -0.1494218668660089, 0.042468583463661135, 0.03661383180728843, 0.08821547952038307, -0.262856863369985, 0.08067761096434908, 0.011284777936675856, 0.13830951477791514, -0.13596608485545844, -0.23446648958169164, -0.14361192112217747, 0.1772708028404703, 0.034382207660875734, -0.015287520087534381, 0.13069153045634588, -0.13041915673492177, 0.043826548124272974, 0.4144945847997141, -0.07776068502393055, 0.01236779632106904, 0.2693818196894661, -0.17310905542023736, -0.18462729249750415, 0.11311575182142758, 0.18569128555095485, 0.16494726301621526, -0.17480953214389663, 0.004073788469559663, 0.06898471916304721, 0.18243297851163773, 0.0423230896163131, 0.057067391149147655, 0.3206578605868403, 0.15857147968584492, -0.023191025785936584, 0.08058378252936828, -0.17187291041857775, -0.1071779778587722, -0.20886818007716249, -0.1450848137779582, -0.08755634653742515, 0.04859190211451102, -0.17080043438238077, -0.18047063396680318, 0.3639841035248772, 0.1261176053070343, 0.21054957185781772, 0.04565922081800959, 0.295724876296346, 0.061957607767544685, 0.08327947304013275, 0.1356328473756871, 0.25173413750204826, 0.21327242945591288, 0.10911122735950254, -0.24130827848078504, 0.1239805861105842, 0.030189836632099842] |
708.4386 | A sufficient criterion for homotopy cartesianess | Suppose given a commutative quadrangle in a Verdier triangulated category
such that there exists an induced isomorphism on the horizontally taken cones.
Suppose that the endomorphism ring of the initial or the terminal corner object
of this quadrangle satisfies a finiteness condition. Then this quadrangle is
homotopy cartesian.
| math.KT | suppose given a commutative quadrangle in a verdier triangulated category such that there exists an induced isomorphism on the horizontally taken cones suppose that the endomorphism ring of the initial or the terminal corner object of this quadrangle satisfies a finiteness condition then this quadrangle is homotopy cartesian | [['suppose', 'given', 'a', 'commutative', 'quadrangle', 'in', 'a', 'verdier', 'triangulated', 'category', 'such', 'that', 'there', 'exists', 'an', 'induced', 'isomorphism', 'on', 'the', 'horizontally', 'taken', 'cones', 'suppose', 'that', 'the', 'endomorphism', 'ring', 'of', 'the', 'initial', 'or', 'the', 'terminal', 'corner', 'object', 'of', 'this', 'quadrangle', 'satisfies', 'a', 'finiteness', 'condition', 'then', 'this', 'quadrangle', 'is', 'homotopy', 'cartesian']] | [-0.24187500676877485, 0.03507619664772695, -0.11083426101443668, 0.03443165415471109, -0.10202505817869678, -0.19693417588132434, -0.06133054827417558, 0.35606338321910397, -0.44473098195157945, -0.11772087041754276, 0.08100763295806246, -0.24992802343331277, -0.08024947235147313, 0.09138455158002519, -0.20971273845255686, -0.08504948079159173, 0.12179771625475648, 0.14110406666683653, -0.039767076218292154, -0.23363350517077683, 0.4772934423429736, -0.09898479232409348, 0.21093322995731492, 0.06163483333754508, 0.2001187518471852, -0.012557610287331045, 0.07879224882344715, 0.06634978814205776, -0.20345477173790036, 0.03767647787147629, 0.25787742315636325, 0.09514602346462198, 0.20999101718431726, -0.3637742572658074, -0.05508721231793364, 0.2223175032219539, 0.10046853437476481, -0.056211888838637, -0.07956198775840069, -0.2837466891699781, 0.1409358772992467, -0.18955151234210157, -0.14118121098726988, 0.050437443249393255, 0.12209194549359381, -0.04868309739201019, -0.301624070154503, -0.11123836284969002, 0.16573595214867964, 0.1666486823790668, -0.06519749558841188, -0.017784545654042933, -0.17613973608240485, 0.05302769038341163, -0.06794644859716452, 0.08728460378673238, 0.10582763649290428, -0.07578817779237094, -0.09291139785394383, 0.4104301173550387, 0.00334325764561072, -0.25758803077042103, 0.09254858082082744, -0.1837265749151508, -0.1299906934145838, 0.13502825075799288, -0.023165246413554996, 0.16302041250620883, 0.02849691252534588, 0.21025384704504782, -0.24299661219508076, 0.09083906310843304, 0.16887841773374626, -0.07233399826024349, 0.16988739328614125, 0.08685188204011259, 0.14872185792834594, 0.19254922968684696, -0.003746424859855324, 0.03337225217061738, -0.42948718923920143, -0.15929898262644807, -0.11808882638191183, 0.21038381792216873, -0.12041470689776664, -0.2399022837441104, 0.33643711315623176, 0.09246760463671914, 0.1919179447189284, 0.08414951384960052, 0.2533893819854711, -0.009231586998794228, 0.08740259357728064, 0.08314070098185766, 0.10320726483284186, 0.20427963931191093, -0.05191859350209901, -0.08374702776200138, -0.004769286761681239, 0.24618074164027348] |
708.4387 | Conjugates of characteristic Sturmian words generated by morphisms | This article is concerned with characteristic Sturmian words of slope
$\alpha$ and $1-\alpha$ (denoted by $c_\alpha$ and $c_{1-\alpha}$
respectively), where $\alpha \in (0,1)$ is an irrational number such that
$\alpha = [0;1+d_1,\bar{d_2,...,d_n}]$ with $d_n \geq d_1 \geq 1$. It is known
that both $c_\alpha$ and $c_{1-\alpha}$ are fixed points of non-trivial
(standard) morphisms $\sigma$ and $\hat{\sigma}$, respectively, if and only if
$\alpha$ has a continued fraction expansion as above. Accordingly, such words
$c_\alpha$ and $c_{1-\alpha}$ are generated by the respective morphisms
$\sigma$ and $\hat{\sigma}$. For the particular case when $\alpha =
[0;2,\bar{r}]$ ($r\geq1$), we give a decomposition of each conjugate of
$c_\alpha$ (and hence $c_{1-\alpha}$) into generalized adjoining singular
words, by considering conjugates of powers of the standard morphism $\sigma$ by
which it is generated. This extends a recent result of Lev\'{e} and S\ee bold
on conjugates of the infinite Fibonacci word.
| math.CO cs.DM | this article is concerned with characteristic sturmian words of slope alpha and 1alpha denoted by c_alpha and c_1alpha respectively where alpha in 01 is an irrational number such that alpha 01d_1bard_2d_n with d_n geq d_1 geq 1 it is known that both c_alpha and c_1alpha are fixed points of nontrivial standard morphisms sigma and hatsigma respectively if and only if alpha has a continued fraction expansion as above accordingly such words c_alpha and c_1alpha are generated by the respective morphisms sigma and hatsigma for the particular case when alpha 02barr rgeq1 we give a decomposition of each conjugate of c_alpha and hence c_1alpha into generalized adjoining singular words by considering conjugates of powers of the standard morphism sigma by which it is generated this extends a recent result of leve and see bold on conjugates of the infinite fibonacci word | [['this', 'article', 'is', 'concerned', 'with', 'characteristic', 'sturmian', 'words', 'of', 'slope', 'alpha', 'and', '1alpha', 'denoted', 'by', 'c_alpha', 'and', 'c_1alpha', 'respectively', 'where', 'alpha', 'in', '01', 'is', 'an', 'irrational', 'number', 'such', 'that', 'alpha', '01d_1bard_2d_n', 'with', 'd_n', 'geq', 'd_1', 'geq', '1', 'it', 'is', 'known', 'that', 'both', 'c_alpha', 'and', 'c_1alpha', 'are', 'fixed', 'points', 'of', 'nontrivial', 'standard', 'morphisms', 'sigma', 'and', 'hatsigma', 'respectively', 'if', 'and', 'only', 'if', 'alpha', 'has', 'a', 'continued', 'fraction', 'expansion', 'as', 'above', 'accordingly', 'such', 'words', 'c_alpha', 'and', 'c_1alpha', 'are', 'generated', 'by', 'the', 'respective', 'morphisms', 'sigma', 'and', 'hatsigma', 'for', 'the', 'particular', 'case', 'when', 'alpha', '02barr', 'rgeq1', 'we', 'give', 'a', 'decomposition', 'of', 'each', 'conjugate', 'of', 'c_alpha', 'and', 'hence', 'c_1alpha', 'into', 'generalized', 'adjoining', 'singular', 'words', 'by', 'considering', 'conjugates', 'of', 'powers', 'of', 'the', 'standard', 'morphism', 'sigma', 'by', 'which', 'it', 'is', 'generated', 'this', 'extends', 'a', 'recent', 'result', 'of', 'leve', 'and', 'see', 'bold', 'on', 'conjugates', 'of', 'the', 'infinite', 'fibonacci', 'word']] | [-0.13781879800813693, 0.1986045148335168, 0.015193764060858065, 0.029849214674768983, -0.03730353524561727, -0.17747911662339186, 0.05099241183322929, 0.35153569311012317, -0.33368517433286365, -0.1917804054130739, 0.06099863558324448, -0.349040455715119, -0.13620942540086098, 0.16069071483755837, -0.062487981030649516, -0.014977199491113424, -0.011395367583001617, 0.1379743073761028, -0.04297416750001755, -0.22481927452405004, 0.3427250243274726, -0.06239486610547497, 0.13533430801446203, -0.006136158263705073, 0.10903900406615687, -0.02429220312186619, -0.017938013785063243, -0.009861267742830037, -0.18490626495452614, 0.06464834686667814, 0.22578731685006706, 0.11345607380851777, 0.22487538773056637, -0.28091005785186796, -0.14252815138800137, 0.2119006658351919, 0.1947564398088105, -0.06586474714287469, 0.018347584973021417, -0.2387029247402628, 0.1701979449589866, -0.15978324808941705, -0.09010663404245012, -0.04697321608907332, 0.14516599317020515, 0.07294641147591989, -0.2681628890423933, 0.06116193378629693, 0.14045227954612813, 0.08809369209691556, 0.006211127165575804, -0.21716972901043993, -0.039243866402288746, 0.08997073299595644, 0.05070738689498092, 0.09538579756312453, 0.05706372980137159, -0.09213111118964144, -0.06234033937382437, 0.3751174461480611, -0.07410808136673087, -0.2452269293585398, 0.09170311555116825, -0.1891114968894879, -0.15017686534781743, 0.10849129756654266, 0.0361643377018083, 0.11236792880647482, -0.02141387974658563, 0.1902450650325385, -0.0821111796383005, 0.1924970826800287, 0.17739329578178206, -0.020313176781918012, 0.10640743780833581, 0.06525719910180264, 0.04983874025625469, 0.088199422337849, -0.005398251805420503, 0.0005768061765082126, -0.3383724889887946, -0.16197160835357477, -0.13866751840215746, 0.11425079557242511, -0.12620690224909337, -0.1498131370375844, 0.3228922467542826, 0.05413461562218892, 0.2183942547591444, 0.12914840406721226, 0.21501543626433958, 0.14627248827320435, 0.01043694752887109, 0.0595592914461872, 0.09295897200758005, 0.13871236573088996, -0.04391257805889132, -0.14983937542300915, 0.03514242750663908, 0.13836336144701625] |
708.4388 | Quasi-local definitions of energy in general relativity | The problem of defining energy in general relativity is reviewed very
briefly, and the properties of Brown-York-like expressions are discussed.
| gr-qc | the problem of defining energy in general relativity is reviewed very briefly and the properties of brownyorklike expressions are discussed | [['the', 'problem', 'of', 'defining', 'energy', 'in', 'general', 'relativity', 'is', 'reviewed', 'very', 'briefly', 'and', 'the', 'properties', 'of', 'brownyorklike', 'expressions', 'are', 'discussed']] | [-0.16480481908901742, 0.13083472818528352, -0.025195990713607324, 0.19915322330167615, -0.05742840684558216, -0.13515097314589902, -0.0849393199344999, 0.3386301005896377, -0.22212221610702967, -0.26460175765188115, 0.1332293601008132, -0.2336382267408465, -0.16714606081184588, 0.2481872337429147, -0.059893364772984854, 0.022911247748293374, 0.027381376265303084, 0.06808100081980228, -0.14510462805628777, -0.1929032965318153, 0.36180622169845983, 0.15289919999869248, 0.24967433472997264, 0.10146027724993856, 0.062482640735412896, -0.003351474756767091, -0.11915139628476218, 0.07783893260516618, -0.18424156792216786, 0.12750293779505514, 0.313712239069374, 0.18846746573322698, 0.2077313879210698, -0.4209828322851344, -0.14887245974846577, -0.004950651604878275, 0.054612397338802875, 0.13645715737029127, -0.1094698698603009, -0.24295322185284213, 0.0613542581467252, -0.13323540730695976, -0.21951826710842157, -0.050743994352064635, 0.0781622093759085, 0.07314382924845345, -0.1211166430852915, 0.07740844354817741, 0.026287376880645752, 0.013973937124798172, -0.10539875958286422, -0.18412342342842175, 0.031807233628473784, 0.05123120168910215, 0.13993396280382417, -0.06807243868120406, 0.07040540128946304, -0.18475594545567506, -0.05522351721791845, 0.5252704204697358, 0.030761701790125745, -0.2657505203234522, 0.1307038909902698, -0.1398930199150192, -0.1696309288228421, 0.016682973008994992, 0.11944721501908805, 0.17259934936699114, -0.23711285901893125, 0.14225945386141048, 0.02606151650022519, 0.016031826111046893, 0.05426377467320938, 0.1294376133898224, 0.21573502599800887, 0.18007174354830854, -0.06860800793296412, 0.15634799042814657, -0.01839418728884898, -0.1679074963260638, -0.4058798457446851, -0.11840296732751947, -0.14978090060972854, -0.020879319967015794, -0.05084614276711363, -0.09763266530966289, 0.40922951159116466, 0.10704249565146472, 0.1413675921135827, 0.041382552761780586, 0.24549625970815359, 0.19875879546529368, -0.06970851405180599, 0.04844027990475297, 0.32462248617881223, 0.2113957413913388, 0.10636417749092768, -0.1915582340994948, 0.029804104301882416, 0.07387115829624236] |
708.4389 | Occurrences of palindromes in characteristic Sturmian words | This paper is concerned with palindromes occurring in characteristic Sturmian
words $c_\alpha$ of slope $\alpha$, where $\alpha \in (0,1)$ is an irrational.
As $c_\alpha$ is a uniformly recurrent infinite word, any (palindromic) factor
of $c_\alpha$ occurs infinitely many times in $c_\alpha$ with bounded gaps. Our
aim is to completely describe where palindromes occur in $c_\alpha$. In
particular, given any palindromic factor $u$ of $c_\alpha$, we shall establish
a decomposition of $c_\alpha$ with respect to the occurrences of $u$. Such a
decomposition shows precisely where $u$ occurs in $c_\alpha$, and this is
directly related to the continued fraction expansion of $\alpha$.
| math.CO cs.DM | this paper is concerned with palindromes occurring in characteristic sturmian words c_alpha of slope alpha where alpha in 01 is an irrational as c_alpha is a uniformly recurrent infinite word any palindromic factor of c_alpha occurs infinitely many times in c_alpha with bounded gaps our aim is to completely describe where palindromes occur in c_alpha in particular given any palindromic factor u of c_alpha we shall establish a decomposition of c_alpha with respect to the occurrences of u such a decomposition shows precisely where u occurs in c_alpha and this is directly related to the continued fraction expansion of alpha | [['this', 'paper', 'is', 'concerned', 'with', 'palindromes', 'occurring', 'in', 'characteristic', 'sturmian', 'words', 'c_alpha', 'of', 'slope', 'alpha', 'where', 'alpha', 'in', '01', 'is', 'an', 'irrational', 'as', 'c_alpha', 'is', 'a', 'uniformly', 'recurrent', 'infinite', 'word', 'any', 'palindromic', 'factor', 'of', 'c_alpha', 'occurs', 'infinitely', 'many', 'times', 'in', 'c_alpha', 'with', 'bounded', 'gaps', 'our', 'aim', 'is', 'to', 'completely', 'describe', 'where', 'palindromes', 'occur', 'in', 'c_alpha', 'in', 'particular', 'given', 'any', 'palindromic', 'factor', 'u', 'of', 'c_alpha', 'we', 'shall', 'establish', 'a', 'decomposition', 'of', 'c_alpha', 'with', 'respect', 'to', 'the', 'occurrences', 'of', 'u', 'such', 'a', 'decomposition', 'shows', 'precisely', 'where', 'u', 'occurs', 'in', 'c_alpha', 'and', 'this', 'is', 'directly', 'related', 'to', 'the', 'continued', 'fraction', 'expansion', 'of', 'alpha']] | [-0.22440348248928785, 0.1824625492062478, 0.009628997966647148, 0.011676947212545202, -0.009804106247611345, -0.14876472267787905, 0.060465245913947, 0.3676058596745133, -0.3881626464240253, -0.14380814385658597, 0.038210520192515106, -0.35155843103304507, -0.13420264717191457, 0.12651958869828378, -0.10352488004136831, 0.01800851069390774, 0.012083507967181504, 0.15943252330645918, -0.03061316840350628, -0.21803725926205517, 0.3248884067218751, -0.10140740768052638, 0.12285986069124193, 0.00046684745931997897, 0.05117428796365857, -0.08980759168043732, 0.008718145724851639, -0.046453441111370924, -0.22107635107822715, 0.07136316712480038, 0.28921746799722314, 0.08753875413443893, 0.2997222654800862, -0.3259645858965814, -0.12827057083137333, 0.2158818816393614, 0.25319502396974713, -0.015097578468266875, 0.01092990419594571, -0.15631436848081648, 0.1134610056411475, -0.18541163854766637, -0.1690771680790931, -0.005030071483924985, 0.17921256709843875, 0.0725535425671842, -0.29150913045508786, 0.10339285876601935, 0.10968609698931686, 0.04623389548622072, -0.0023357088945340364, -0.1642973724938929, 0.05096225251443684, 0.10944394454010763, 0.07589036529650911, 0.11696119748521597, 0.03787645453121513, -0.07650962254498155, -0.035439149951562283, 0.4211943757906556, -0.09246693693567068, -0.22301150120794774, 0.09413024123292417, -0.2487447664793581, -0.19190201855264605, 0.13935738515108823, 0.07414016545371852, 0.11441584848798811, -0.03261118000373244, 0.18395107284304685, -0.07932873275130987, 0.24145306857302784, 0.19788017927436158, -0.0005674797669053078, 0.07071799201192334, 0.12549379707081243, 0.05194772502814885, 0.11517276318743824, -0.006476680710911751, -0.011649867417290807, -0.3023181583918631, -0.1540724136866629, -0.13971272822935135, 0.10418370773084462, -0.10705506798331044, -0.23343968353467062, 0.3436100150458515, 0.0710757828853093, 0.24989158967509867, 0.09965780179016293, 0.1551132004894316, 0.1305687687441241, 0.030920790573582053, 0.06794868106488139, 0.062258303782437, 0.08277551967650652, -0.011921162299113348, -0.1839059268659912, 0.10243162715574726, 0.14398906648202683] |
708.439 | Herwig++ Monte Carlo At Next-To-Leading Order for e+e- annihilation and
lepton pair production | This paper describes the MC@NLO method for matching next-to-leading order
(NLO) perturbative QCD with the parton shower and hadronization model of the
Monte Carlo (MC) event generator tt Herwig++, for e+e- annihilation and
Drell-Yan lepton pair production. Details of the event generation method as
well as spin, flavour, momentum and colour assignments are presented. We obtain
predictions for various distributions which arecompared with experimental data.
| hep-ph | this paper describes the mcnlo method for matching nexttoleading order nlo perturbative qcd with the parton shower and hadronization model of the monte carlo mc event generator tt herwig for ee annihilation and drellyan lepton pair production details of the event generation method as well as spin flavour momentum and colour assignments are presented we obtain predictions for various distributions which arecompared with experimental data | [['this', 'paper', 'describes', 'the', 'mcnlo', 'method', 'for', 'matching', 'nexttoleading', 'order', 'nlo', 'perturbative', 'qcd', 'with', 'the', 'parton', 'shower', 'and', 'hadronization', 'model', 'of', 'the', 'monte', 'carlo', 'mc', 'event', 'generator', 'tt', 'herwig', 'for', 'ee', 'annihilation', 'and', 'drellyan', 'lepton', 'pair', 'production', 'details', 'of', 'the', 'event', 'generation', 'method', 'as', 'well', 'as', 'spin', 'flavour', 'momentum', 'and', 'colour', 'assignments', 'are', 'presented', 'we', 'obtain', 'predictions', 'for', 'various', 'distributions', 'which', 'arecompared', 'with', 'experimental', 'data']] | [0.010730584188422654, 0.178593476433889, -0.121586229543027, 0.21251809815839806, -0.06091040725368657, -0.05767405604910891, -0.05886591768467042, 0.4456186169409193, -0.16462250977929216, -0.31254276403342374, -0.0321538713251357, -0.3556431870747474, 0.08105088681622874, 0.08656594453714206, 0.1352970846928656, 0.21492786599992542, 0.19084040987945627, -0.052138281018415, -0.08602880064427154, -0.2205888020398561, 0.2522672364866594, 0.13150724038132466, 0.2375599444785621, 0.13930115252151154, 0.09942019939080637, 0.13084147912377375, -0.1295379204048004, -0.116287865472259, -0.1399884800084692, 0.032109897381815244, 0.26839445488440106, 0.0982003596436698, -0.011868828885781113, -0.34206304650433594, -0.06520858692238107, 0.05900613211269956, 0.14120100339277997, 0.15479488955770648, -0.08266574262233917, -0.2773197329370305, 0.12187259443453513, -0.3846565297571942, -0.057018671854166314, -0.14099889306817204, -0.10302213667091564, -0.004229485898193275, -0.39450705086346716, 0.06598200453663594, -0.033852659062176826, -0.0032914193834585603, 0.12106511212550686, -0.20218902370834257, -0.1023344920231466, 0.012931478471728042, 0.14615507116468507, 0.12580008507939056, 0.13740863127077318, -0.17190119054794195, -0.3380338937713532, 0.40289295953698456, 0.028054137217623065, -0.15774692428021808, 0.09378654782631202, -0.18400973489042372, -0.18549504008115036, 0.11181942066104966, 0.23463498972705565, 0.10951419919001637, -0.23812740463472437, 0.1173738629267973, 0.062471107848978136, 0.08950979183646268, 0.027176229377801064, 0.0317350856748817, 0.15059543479583226, 0.234294173453236, -0.07298498149611987, 0.07107883822754957, -0.12192603725088702, -0.14441102812997997, -0.5009562168852426, -0.12230064411414787, -0.11773656940204091, 0.02481214977160562, -0.13135184722273152, -0.18841678201079048, 0.39347795516368933, 0.20677859402712784, 0.23043211988260737, 0.07644134215843224, 0.3863812697236426, 0.09406771552676219, 0.01582522980606882, 0.08072518631524872, 0.16455231557483785, 0.13430529254401335, 0.1461910184007138, -0.27531785203609616, 0.07032630714820698, 0.1582949295407161] |
708.4391 | CMB Cluster Lensing: Cosmography with the Longest Lever Arm | We discuss combining gravitational lensing of galaxies and the cosmic
microwave background (CMB) by clusters to measure cosmographic distance ratios,
and hence dark energy parameters. Advantages to using the CMB as the second
source plane, instead of galaxies, include: a well-determined source distance,
a longer lever arm for distance ratios, typically up to an order of magnitude
higher sensitivity to dark energy parameters, and a decreased sensitivity to
photometric redshift accuracy of the lens and galaxy sources. Disadvantages
include: higher statistical errors, potential systematic errors, and the need
for disparate surveys that overlap on the sky. Ongoing and planned surveys,
such as the South Pol Telescope in conjunction with the Dark Energy Survey, can
potentially reach the statistical sensitivity to make interesting consistency
tests of the standard cosmological constant model. Future measurements that
reach 1% or better precision in the convergences can provide sharp tests for
future supernovae distance measurements.
| astro-ph | we discuss combining gravitational lensing of galaxies and the cosmic microwave background cmb by clusters to measure cosmographic distance ratios and hence dark energy parameters advantages to using the cmb as the second source plane instead of galaxies include a welldetermined source distance a longer lever arm for distance ratios typically up to an order of magnitude higher sensitivity to dark energy parameters and a decreased sensitivity to photometric redshift accuracy of the lens and galaxy sources disadvantages include higher statistical errors potential systematic errors and the need for disparate surveys that overlap on the sky ongoing and planned surveys such as the south pol telescope in conjunction with the dark energy survey can potentially reach the statistical sensitivity to make interesting consistency tests of the standard cosmological constant model future measurements that reach 1 or better precision in the convergences can provide sharp tests for future supernovae distance measurements | [['we', 'discuss', 'combining', 'gravitational', 'lensing', 'of', 'galaxies', 'and', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'by', 'clusters', 'to', 'measure', 'cosmographic', 'distance', 'ratios', 'and', 'hence', 'dark', 'energy', 'parameters', 'advantages', 'to', 'using', 'the', 'cmb', 'as', 'the', 'second', 'source', 'plane', 'instead', 'of', 'galaxies', 'include', 'a', 'welldetermined', 'source', 'distance', 'a', 'longer', 'lever', 'arm', 'for', 'distance', 'ratios', 'typically', 'up', 'to', 'an', 'order', 'of', 'magnitude', 'higher', 'sensitivity', 'to', 'dark', 'energy', 'parameters', 'and', 'a', 'decreased', 'sensitivity', 'to', 'photometric', 'redshift', 'accuracy', 'of', 'the', 'lens', 'and', 'galaxy', 'sources', 'disadvantages', 'include', 'higher', 'statistical', 'errors', 'potential', 'systematic', 'errors', 'and', 'the', 'need', 'for', 'disparate', 'surveys', 'that', 'overlap', 'on', 'the', 'sky', 'ongoing', 'and', 'planned', 'surveys', 'such', 'as', 'the', 'south', 'pol', 'telescope', 'in', 'conjunction', 'with', 'the', 'dark', 'energy', 'survey', 'can', 'potentially', 'reach', 'the', 'statistical', 'sensitivity', 'to', 'make', 'interesting', 'consistency', 'tests', 'of', 'the', 'standard', 'cosmological', 'constant', 'model', 'future', 'measurements', 'that', 'reach', '1', 'or', 'better', 'precision', 'in', 'the', 'convergences', 'can', 'provide', 'sharp', 'tests', 'for', 'future', 'supernovae', 'distance', 'measurements']] | [-0.08542348104839524, 0.06364375791599741, -0.05492892973435422, 0.1308798677722613, -0.14459746022863934, -0.07701481617055833, 0.05753735038645876, 0.38601175426195067, -0.21825838996718328, -0.372508551950256, 0.07586663954736043, -0.3282475251642366, 0.018279458231603107, 0.250372290732339, 0.0002330114334957519, 0.049072072732572754, 0.07782322480032841, -0.059961944888151875, -0.08127786223689328, -0.2898736406567817, 0.24380396600502233, 0.19733795254180828, 0.2264579210989177, -0.00823862552953263, 0.09981549830331157, -0.07069011881171415, -0.09854461820796132, 0.03288586798201625, -0.1780995369082666, 0.05059245695709251, 0.24650122407979022, 0.1528705806626628, 0.22066517695318907, -0.3511783323809505, -0.22601736937649547, 0.151407373585583, 0.16314514983445405, 0.07147788630798459, -0.020215795270632952, -0.31954533979607125, 0.03267941954468066, -0.15952787852535646, -0.16497582524393994, -0.03503835003667821, -0.013787297994519273, 0.07637919287430123, -0.2356875846690188, 0.15257355875646075, -0.04403298721959194, 0.0519219389775147, -0.03988237964299818, -0.14550210176190984, 0.019219919274716328, 0.10522978025022894, 0.03851545706313724, 0.09704422884387895, 0.17557530427739645, -0.16056909391346078, -0.0775839829724282, 0.3911426866830637, -0.1119228666019626, -0.08834705413629611, 0.16461691941057022, -0.16945201998576523, -0.15258695119371016, 0.06106080712052062, 0.19856778450931112, 0.011238579427202543, -0.16647018742437164, 0.028067743057229866, 0.12396398073683182, 0.23826672368993362, 0.08255657273965578, 0.0896024823981376, 0.31096022001778084, 0.10699965593715509, 0.13972280707520743, 0.05129263018568357, -0.22019585249790302, 0.004613959416747093, -0.3097375014051795, -0.08425351491663605, -0.127666600511875, 0.05647075224046906, -0.17577405381268665, -0.09353571911924519, 0.34359468007460237, 0.1840788783505559, 0.1730042568811526, 0.08977679120842368, 0.3652184953028336, 0.015409410028563192, 0.09046253749790291, -0.021637920305753747, 0.36729705150549613, 0.11764125009843458, 0.06773333829594776, -0.18667323017667514, 0.018831083031060795, -0.0331628455221653] |
708.4392 | On the Gr\"obner complexity of matrices | In this paper we show that if for an integer matrix A the universal Gr\"obner
basis of the associated toric ideal \Ideal_A coincides with the Graver basis of
A, then the Gr\"obner complexity u(A) and the Graver complexity g(A) of its
higher Lawrence liftings agree, too. We conclude that for the matrices
A_{3\times 3} and A_{3\times 4}, defining the 3\times 3 and 3\times 4
transportation problems, we have u(A_{3\times 3})=g(A_{3\times 3})=9 and
u(A_{3\times 4})=g(A_{3\times 4})\geq 27. Moreover, we prove
u(A_{a,b})=g(A_{a,b})=2(a+b)/\gcd(a,b) for positive integers a,b and
A_{a,b}=(\begin{smallmatrix} 1 & 1 & 1 & 1 0 & a & b & a+b \end{smallmatrix}).
| math.AC math.CO | in this paper we show that if for an integer matrix a the universal grobner basis of the associated toric ideal ideal_a coincides with the graver basis of a then the grobner complexity ua and the graver complexity ga of its higher lawrence liftings agree too we conclude that for the matrices a_3times 3 and a_3times 4 defining the 3times 3 and 3times 4 transportation problems we have ua_3times 3ga_3times 39 and ua_3times 4ga_3times 4geq 27 moreover we prove ua_abga_ab2abgcdab for positive integers ab and a_abbeginsmallmatrix 1 1 1 1 0 a b ab endsmallmatrix | [['in', 'this', 'paper', 'we', 'show', 'that', 'if', 'for', 'an', 'integer', 'matrix', 'a', 'the', 'universal', 'grobner', 'basis', 'of', 'the', 'associated', 'toric', 'ideal', 'ideal_a', 'coincides', 'with', 'the', 'graver', 'basis', 'of', 'a', 'then', 'the', 'grobner', 'complexity', 'ua', 'and', 'the', 'graver', 'complexity', 'ga', 'of', 'its', 'higher', 'lawrence', 'liftings', 'agree', 'too', 'we', 'conclude', 'that', 'for', 'the', 'matrices', 'a_3times', '3', 'and', 'a_3times', '4', 'defining', 'the', '3times', '3', 'and', '3times', '4', 'transportation', 'problems', 'we', 'have', 'ua_3times', '3ga_3times', '39', 'and', 'ua_3times', '4ga_3times', '4geq', '27', 'moreover', 'we', 'prove', 'ua_abga_ab2abgcdab', 'for', 'positive', 'integers', 'ab', 'and', 'a_abbeginsmallmatrix', '1', '1', '1', '1', '0', 'a', 'b', 'ab', 'endsmallmatrix']] | [-0.14247753005474806, 0.09489036122464643, -0.0038726784246550365, 0.06749582715433049, 0.021351942252791065, -0.15547775443304668, 0.02900013143582989, 0.3279318153396492, -0.3055127334823324, -0.22598375764738937, 0.14385622947619678, -0.2840087065388533, -0.15595436239064756, 0.154556665929373, -0.041852690279483795, 0.02771515977523946, 0.01522789280649952, 0.040650412785577246, -0.16146926158001984, -0.28589576412923634, 0.3287671720820733, 0.01315268754578111, 0.15481942653952335, 0.026942541933914817, 0.12259725130967457, -0.018875201187752697, 0.005487738674591211, 0.002090189563618465, -0.1649574105700925, 0.13724514986229638, 0.2623483529102735, 0.20986019700120034, 0.2490808291106739, -0.37992395798210055, -0.043673102564009074, 0.12235180234578862, 0.1287873969360424, 0.016276962039145557, -0.02534245807857422, -0.1509540272156962, 0.19223380466626788, -0.20402538789097557, -0.14607951741411604, -0.039160487107107074, 0.12961756287735293, -0.002748915962663225, -0.3258884763980115, -0.004416936553422023, 0.09693226007617671, 0.14948449705050074, -0.05518225483220621, -0.24385015083879064, 0.001247841568494385, 0.02685738574522971, -0.10484164936397891, 0.09561244668095076, 0.0545672665942799, -0.08652047823257321, -0.14422937423858623, 0.36404123047197406, -0.01509162240174853, -0.16686041695489126, 0.1547311361117119, -0.16900139041668313, -0.1532842636595226, 0.12044666827635163, 0.0531918291632213, 0.09276064462028444, -0.0037017968451519582, 0.17633931576578601, -0.09840568094725975, 0.1573294288140129, 0.10261266721962867, -0.029423836152669868, 0.09567405490220567, 0.07630096324084495, 0.08477066363345577, 0.04831348109821027, -0.056571437935582995, 0.03577672592258419, -0.29940160493027757, -0.2374684804182669, -0.17502090840769763, 0.15586064365660687, -0.15714201544572212, -0.10847894294949417, 0.37094608575782995, 0.11919250418643722, 0.16830688907992392, 0.14019553588745606, 0.1835755523484708, 0.08368603764525191, -0.014359438836188267, 0.1261878686597232, 0.16626027613793584, 0.15842205622572114, -0.004687047002583065, -0.17552718496352265, -0.0371430257324722, 0.09423613535578955] |
708.4393 | Evidence for Accretion in the High-resolution X-ray Spectrum of the T
Tauri Star System Hen 3-600 | We present high-resolution X-ray spectra of the multiple T Tauri star system
Hen 3-600, obtained with the High Energy Transmission Grating Spectrograph on
the Chandra X-ray Observatory. Two binary components were detected in the
zeroth-order image. Hen 3-600-A, which has a large mid-infrared excess, is a
2-3 times fainter in X-rays than Hen 3-600-B, due to a large flare on B. The
dispersed X-ray spectra of the two primary components overlap spatially;
spectral analysis was performed on the combined system. Analysis of the
individual spectra was limited to regions where the contributions of A and B
can be disentangled. This analysis results in two lines of evidence indicating
that the X-ray emission from Hen 3-600 is derived from accretion processes:
line ratios of O VII indicate that the characteristic density of its
X-ray-emitting plasma is large; a significant component of low-temperature
plasma is present and is stronger in component A. These results are consistent
with results obtained from X-ray gratings spectroscopy of more rapidly
accreting systems. All of the signatures of Hen 3-600 that are potential
diagnostics of accretion activity -- X-ray emission, UV excess, H-alpha
emission, and weak infrared excess -- suggest that its components represent a
transition phase between rapidly accreting, classical T Tauri stars and
non-accreting, weak-lined T Tauri stars.
| astro-ph | we present highresolution xray spectra of the multiple t tauri star system hen 3600 obtained with the high energy transmission grating spectrograph on the chandra xray observatory two binary components were detected in the zerothorder image hen 3600a which has a large midinfrared excess is a 23 times fainter in xrays than hen 3600b due to a large flare on b the dispersed xray spectra of the two primary components overlap spatially spectral analysis was performed on the combined system analysis of the individual spectra was limited to regions where the contributions of a and b can be disentangled this analysis results in two lines of evidence indicating that the xray emission from hen 3600 is derived from accretion processes line ratios of o vii indicate that the characteristic density of its xrayemitting plasma is large a significant component of lowtemperature plasma is present and is stronger in component a these results are consistent with results obtained from xray gratings spectroscopy of more rapidly accreting systems all of the signatures of hen 3600 that are potential diagnostics of accretion activity xray emission uv excess halpha emission and weak infrared excess suggest that its components represent a transition phase between rapidly accreting classical t tauri stars and nonaccreting weaklined t tauri stars | [['we', 'present', 'highresolution', 'xray', 'spectra', 'of', 'the', 'multiple', 't', 'tauri', 'star', 'system', 'hen', '3600', 'obtained', 'with', 'the', 'high', 'energy', 'transmission', 'grating', 'spectrograph', 'on', 'the', 'chandra', 'xray', 'observatory', 'two', 'binary', 'components', 'were', 'detected', 'in', 'the', 'zerothorder', 'image', 'hen', '3600a', 'which', 'has', 'a', 'large', 'midinfrared', 'excess', 'is', 'a', '23', 'times', 'fainter', 'in', 'xrays', 'than', 'hen', '3600b', 'due', 'to', 'a', 'large', 'flare', 'on', 'b', 'the', 'dispersed', 'xray', 'spectra', 'of', 'the', 'two', 'primary', 'components', 'overlap', 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708.4394 | Studies of Spin Effects in Charged Higgs Boson Production with an
Iterative Discriminant Analysis at the Tevatron and LHC | We report on detailed Monte Carlo comparisons of selection variables to
separate tbH+ signal events from the Standard Model ttbar background using an
Iterative Discriminant Analysis (IDA) method. While kinematic differences exist
between the two processes whenever m(H+).ne.m(W+), the exploration of the spin
difference between the charged Higgs and the W+ gauge boson becomes crucial in
the particularly challenging case of near degeneracy of the charged Higgs boson
mass with the W+ mass. The TAUOLA package is used to decay the tau leptons
emerging from the charged Higgs and W+ boson decays taking the spin difference
properly into account. We demonstrate that, even if the individual selection
variables have limited discriminant power, the IDA method achieves a
significant separation between the expected signal and background. For both
Tevatron and LHC energies, the impact of the spin effects and H+ mass on the
separation of signal and background has been studied quantitatively. The effect
of a hard transverse momentum cut to remove QCD background has been studied and
it is found that the spin effects remain important. The separation is expressed
in purity versus efficiency curves. The study is performed for charged Higgs
boson masses between the W+ mass and near the top mass.
| hep-ph | we report on detailed monte carlo comparisons of selection variables to separate tbh signal events from the standard model ttbar background using an iterative discriminant analysis ida method while kinematic differences exist between the two processes whenever mhnemw the exploration of the spin difference between the charged higgs and the w gauge boson becomes crucial in the particularly challenging case of near degeneracy of the charged higgs boson mass with the w mass the tauola package is used to decay the tau leptons emerging from the charged higgs and w boson decays taking the spin difference properly into account we demonstrate that even if the individual selection variables have limited discriminant power the ida method achieves a significant separation between the expected signal and background for both tevatron and lhc energies the impact of the spin effects and h mass on the separation of signal and background has been studied quantitatively the effect of a hard transverse momentum cut to remove qcd background has been studied and it is found that the spin effects remain important the separation is expressed in purity versus efficiency curves the study is performed for charged higgs boson masses between the w mass and near the top mass | [['we', 'report', 'on', 'detailed', 'monte', 'carlo', 'comparisons', 'of', 'selection', 'variables', 'to', 'separate', 'tbh', 'signal', 'events', 'from', 'the', 'standard', 'model', 'ttbar', 'background', 'using', 'an', 'iterative', 'discriminant', 'analysis', 'ida', 'method', 'while', 'kinematic', 'differences', 'exist', 'between', 'the', 'two', 'processes', 'whenever', 'mhnemw', 'the', 'exploration', 'of', 'the', 'spin', 'difference', 'between', 'the', 'charged', 'higgs', 'and', 'the', 'w', 'gauge', 'boson', 'becomes', 'crucial', 'in', 'the', 'particularly', 'challenging', 'case', 'of', 'near', 'degeneracy', 'of', 'the', 'charged', 'higgs', 'boson', 'mass', 'with', 'the', 'w', 'mass', 'the', 'tauola', 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708.4395 | Influence of the environment and probes on rapid DNA sequencing via
transverse electronic transport | We study theoretically the feasibility of using transverse electronic
transport within a nanopore for rapid DNA sequencing. Specifically, we examine
the effects of the environment and detection probes on the distinguishability
of the DNA bases. We find that the intrinsic measurement bandwidth of the
electrodes helps the detection of single bases by averaging over the current
distributions of each base. We also find that although the overall magnitude of
the current may change dramatically with different detection conditions, the
intrinsic distinguishability of the bases is not significantly affected by pore
size and transverse field strength. The latter is the result of very effective
stabilization of the DNA by the transverse field induced by the probes, so long
as that field is much larger than the field that drives DNA through the pore.
In addition, the ions and water together effectively screen the charge on the
nucleotides, so that the electron states participating in the transport
properties of the latter ones resemble those of the uncharged species. Finally,
water in the environment has negligible direct influence on the transverse
electrical current.
| cond-mat.soft cond-mat.other | we study theoretically the feasibility of using transverse electronic transport within a nanopore for rapid dna sequencing specifically we examine the effects of the environment and detection probes on the distinguishability of the dna bases we find that the intrinsic measurement bandwidth of the electrodes helps the detection of single bases by averaging over the current distributions of each base we also find that although the overall magnitude of the current may change dramatically with different detection conditions the intrinsic distinguishability of the bases is not significantly affected by pore size and transverse field strength the latter is the result of very effective stabilization of the dna by the transverse field induced by the probes so long as that field is much larger than the field that drives dna through the pore in addition the ions and water together effectively screen the charge on the nucleotides so that the electron states participating in the transport properties of the latter ones resemble those of the uncharged species finally water in the environment has negligible direct influence on the transverse electrical current | [['we', 'study', 'theoretically', 'the', 'feasibility', 'of', 'using', 'transverse', 'electronic', 'transport', 'within', 'a', 'nanopore', 'for', 'rapid', 'dna', 'sequencing', 'specifically', 'we', 'examine', 'the', 'effects', 'of', 'the', 'environment', 'and', 'detection', 'probes', 'on', 'the', 'distinguishability', 'of', 'the', 'dna', 'bases', 'we', 'find', 'that', 'the', 'intrinsic', 'measurement', 'bandwidth', 'of', 'the', 'electrodes', 'helps', 'the', 'detection', 'of', 'single', 'bases', 'by', 'averaging', 'over', 'the', 'current', 'distributions', 'of', 'each', 'base', 'we', 'also', 'find', 'that', 'although', 'the', 'overall', 'magnitude', 'of', 'the', 'current', 'may', 'change', 'dramatically', 'with', 'different', 'detection', 'conditions', 'the', 'intrinsic', 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708.4396 | The computation of the classes of some tori in the Grothendieck ring of
varieties | We establish a formula for the classes of certain tori in the Grothendieck
ring of varieties, in terms of its lambda-structure. More explicitly, we will
see that if L* is the torus of invertible elements in the n-dimensional
separable k-algebra L, then the class of L* can be expressed as an alternating
sum of the images of the spectrum of L under the lambda-operations, multiplied
by powers of the Lefschetz class. This formula is suggested from the cohomology
of the torus, illustrating a heuristic method that can be used in other
situations. To prove the formula will require some rather explicit calculations
in the Grothendieck ring. To be able to make these we introduce a homomorphism
from the Burnside ring of the absolute Galois group of k, to the Grothendieck
ring of varieties over k. In the process we obtain some information about the
structure of the subring generated by zero-dimensional varieties.
| math.AG | we establish a formula for the classes of certain tori in the grothendieck ring of varieties in terms of its lambdastructure more explicitly we will see that if l is the torus of invertible elements in the ndimensional separable kalgebra l then the class of l can be expressed as an alternating sum of the images of the spectrum of l under the lambdaoperations multiplied by powers of the lefschetz class this formula is suggested from the cohomology of the torus illustrating a heuristic method that can be used in other situations to prove the formula will require some rather explicit calculations in the grothendieck ring to be able to make these we introduce a homomorphism from the burnside ring of the absolute galois group of k to the grothendieck ring of varieties over k in the process we obtain some information about the structure of the subring generated by zerodimensional varieties | [['we', 'establish', 'a', 'formula', 'for', 'the', 'classes', 'of', 'certain', 'tori', 'in', 'the', 'grothendieck', 'ring', 'of', 'varieties', 'in', 'terms', 'of', 'its', 'lambdastructure', 'more', 'explicitly', 'we', 'will', 'see', 'that', 'if', 'l', 'is', 'the', 'torus', 'of', 'invertible', 'elements', 'in', 'the', 'ndimensional', 'separable', 'kalgebra', 'l', 'then', 'the', 'class', 'of', 'l', 'can', 'be', 'expressed', 'as', 'an', 'alternating', 'sum', 'of', 'the', 'images', 'of', 'the', 'spectrum', 'of', 'l', 'under', 'the', 'lambdaoperations', 'multiplied', 'by', 'powers', 'of', 'the', 'lefschetz', 'class', 'this', 'formula', 'is', 'suggested', 'from', 'the', 'cohomology', 'of', 'the', 'torus', 'illustrating', 'a', 'heuristic', 'method', 'that', 'can', 'be', 'used', 'in', 'other', 'situations', 'to', 'prove', 'the', 'formula', 'will', 'require', 'some', 'rather', 'explicit', 'calculations', 'in', 'the', 'grothendieck', 'ring', 'to', 'be', 'able', 'to', 'make', 'these', 'we', 'introduce', 'a', 'homomorphism', 'from', 'the', 'burnside', 'ring', 'of', 'the', 'absolute', 'galois', 'group', 'of', 'k', 'to', 'the', 'grothendieck', 'ring', 'of', 'varieties', 'over', 'k', 'in', 'the', 'process', 'we', 'obtain', 'some', 'information', 'about', 'the', 'structure', 'of', 'the', 'subring', 'generated', 'by', 'zerodimensional', 'varieties']] | [-0.18387664936859724, 0.033529726853598014, -0.11432548180394071, 0.051518988029365095, -0.07890022809672366, -0.12500889559496978, -0.006913844961673021, 0.35089152068585944, -0.3723637718143628, -0.21868134624520807, 0.08825067815058374, -0.2093996626790613, -0.11934507234898199, 0.21616297744147137, -0.12597892197510718, -0.04428594369222226, 0.002969372878923375, 0.12397771552633985, -0.1072221851764449, -0.2908377545352682, 0.3870716079897982, 0.011025017072250577, 0.16495954606369578, 0.04483230746355778, 0.06746875866175335, -0.010317429824298367, -0.031153148456819747, -0.006804068928383793, -0.13392530915706102, 0.14236203929651406, 0.3132187393126323, 0.09580229050142837, 0.2126073158594265, -0.3948363064432909, -0.11179718742220614, 0.20803110916810846, 0.13989584236773417, 0.026579511828267163, 0.018551385210421836, -0.2585047830821407, 0.12804505679646114, -0.21772822850432835, -0.1550771010331932, -0.0847947554675078, 0.07237331107899081, 0.05654514998222064, -0.26306832085346715, -0.027351588437388847, 0.1024875295728347, 0.11183366978553079, -0.03436637992930819, -0.09828378510734949, -0.028144277672062776, 0.07790228219911162, -0.006300043299569025, 0.004299638920776105, 0.12565486781041776, -0.10709363577342101, -0.09487758273309355, 0.3977141843275412, -0.0898595962560074, -0.1907266612857041, 0.09102534230087737, -0.1927449504422073, -0.10894873925472463, 0.16724357961088812, 0.06318717528330653, 0.17224291365250552, -0.03911841081763238, 0.16160478496519654, -0.17701601774407258, 0.08431722178111638, 0.06821776770888582, 0.021831659375732813, 0.15107366476685888, 0.047350631251710615, 0.05761648563279059, 0.1698780824827784, -0.029644577169643815, -0.011502448115176154, -0.3639213040495585, -0.18573957361820104, -0.15827776390238127, 0.14766815795385474, -0.09223684458074306, -0.12727017396154175, 0.3973537356911325, 0.10726698801705711, 0.20212393404156165, 0.08664804770217559, 0.21842978691290083, 0.0735502787896334, 0.10216551777404292, 0.046384536927737495, 0.13146969169649406, 0.20404637729026084, -0.006306065264078298, -0.16549538612659825, 0.009210734689412149, 0.19924099558939865] |
708.4397 | Cyclic odd degree base change lifting for unitary groups in three
variables | Let E/F be a quadratic number (resp. p-adic) field extension, and F' an odd
degree cyclic field extension of F. We establish a base-change functorial
lifting of automorphic (resp. admissible) representations from the unitary
group U(3,E/F) associated with E/F to the unitary group U(3,F'E/F'). As a
consequence, we classify the invariant packets of U(3,F'E/F'), namely those
which contain (irreducible) automorphic (resp. admissible) representations
which are invariant under the action of the Galois group Gal(F'E/E). To do this
we use the trace formula technique, and well-known results on the base-change
lifting from U(3,E/F) to GL(3,E) and on the base-change lifting for the general
linear groups. We also determine the invariance of individual representations,
using Howe correspondence. This work is the first study of base change into an
algebraic group whose packets are not all singletons, and which does not
satisfy the "strong multiplicity one theorem." Novel phenomena are encountered:
e.g. there are invariant packets where not every irreducible automorphic (resp.
admissible) member is Galois-invariant. We also obtain local twisted character
identities with respect to this base-change lifting.
| math.NT math.RT | let ef be a quadratic number resp padic field extension and f an odd degree cyclic field extension of f we establish a basechange functorial lifting of automorphic resp admissible representations from the unitary group u3ef associated with ef to the unitary group u3fef as a consequence we classify the invariant packets of u3fef namely those which contain irreducible automorphic resp admissible representations which are invariant under the action of the galois group galfee to do this we use the trace formula technique and wellknown results on the basechange lifting from u3ef to gl3e and on the basechange lifting for the general linear groups we also determine the invariance of individual representations using howe correspondence this work is the first study of base change into an algebraic group whose packets are not all singletons and which does not satisfy the strong multiplicity one theorem novel phenomena are encountered eg there are invariant packets where not every irreducible automorphic resp admissible member is galoisinvariant we also obtain local twisted character identities with respect to this basechange lifting | [['let', 'ef', 'be', 'a', 'quadratic', 'number', 'resp', 'padic', 'field', 'extension', 'and', 'f', 'an', 'odd', 'degree', 'cyclic', 'field', 'extension', 'of', 'f', 'we', 'establish', 'a', 'basechange', 'functorial', 'lifting', 'of', 'automorphic', 'resp', 'admissible', 'representations', 'from', 'the', 'unitary', 'group', 'u3ef', 'associated', 'with', 'ef', 'to', 'the', 'unitary', 'group', 'u3fef', 'as', 'a', 'consequence', 'we', 'classify', 'the', 'invariant', 'packets', 'of', 'u3fef', 'namely', 'those', 'which', 'contain', 'irreducible', 'automorphic', 'resp', 'admissible', 'representations', 'which', 'are', 'invariant', 'under', 'the', 'action', 'of', 'the', 'galois', 'group', 'galfee', 'to', 'do', 'this', 'we', 'use', 'the', 'trace', 'formula', 'technique', 'and', 'wellknown', 'results', 'on', 'the', 'basechange', 'lifting', 'from', 'u3ef', 'to', 'gl3e', 'and', 'on', 'the', 'basechange', 'lifting', 'for', 'the', 'general', 'linear', 'groups', 'we', 'also', 'determine', 'the', 'invariance', 'of', 'individual', 'representations', 'using', 'howe', 'correspondence', 'this', 'work', 'is', 'the', 'first', 'study', 'of', 'base', 'change', 'into', 'an', 'algebraic', 'group', 'whose', 'packets', 'are', 'not', 'all', 'singletons', 'and', 'which', 'does', 'not', 'satisfy', 'the', 'strong', 'multiplicity', 'one', 'theorem', 'novel', 'phenomena', 'are', 'encountered', 'eg', 'there', 'are', 'invariant', 'packets', 'where', 'not', 'every', 'irreducible', 'automorphic', 'resp', 'admissible', 'member', 'is', 'galoisinvariant', 'we', 'also', 'obtain', 'local', 'twisted', 'character', 'identities', 'with', 'respect', 'to', 'this', 'basechange', 'lifting']] | [-0.20308798655100604, 0.10121812280421556, -0.15288427482523462, 0.06157554832273437, -0.1490921481841189, -0.14120207455228356, -0.005657367848599439, 0.32168867717880534, -0.36600665880421945, -0.21411879174993373, 0.07882806932389298, -0.23649898790891338, -0.15583366599783083, 0.17306374992750695, -0.12134658474036876, -0.023444544463692343, 0.020723508277853183, 0.16974662307868985, -0.12328960474525742, -0.2582793093272759, 0.40016195042168395, -0.038202733023311286, 0.23092995541827643, -0.0005290319913696936, 0.11081203282194431, 0.0654970094890279, -0.013899514290011104, -0.06691944838693256, -0.10572659280972883, 0.13095705367296057, 0.3235383521916126, 0.05730405233471709, 0.18545438496204203, -0.3716666606547626, -0.11958402126808376, 0.2506298938053934, 0.10012915331813822, 0.036359187781892933, -0.00983717016163556, -0.29563851302270505, 0.14219323232811054, -0.1755145528279279, -0.1414941906435963, -0.10374667611082687, 0.021256202633273515, -6.626821670900373e-06, -0.2615414443124524, 0.00726859965327415, 0.12223087025066728, 0.14826752397450893, -0.10929753442623598, -0.09472232457825586, -0.05232165912714075, 0.10360845458858153, 0.02348662663853782, 0.06090591694639229, 0.09189568922601585, -0.08397485851447153, -0.09598602381781401, 0.37427895755014, -0.06503543225938783, -0.2053228468154831, 0.1556181446128689, -0.1451160817187937, -0.20340399347547003, 0.12252030698308612, 0.09501795282258707, 0.13167355245609275, -0.04054388477302649, 0.16746839492390042, -0.16210331209003925, 0.07455053707269732, 0.11159416901166824, 0.029540773061008246, 0.14064452407388564, -0.015493636879631702, 0.0934578491251587, 0.13444358239237986, 0.032079517232897856, -0.028814383226392022, -0.36865511552143077, -0.1740443542572286, -0.08796647412442218, 0.11929308549485594, -0.046019825640285165, -0.1669957346022677, 0.4213641888763317, 0.10113595736158244, 0.17254435675602187, 0.15402392017970082, 0.19934256761608754, 0.12995120294268844, 0.1108440280344118, 0.09281503747059854, 0.08781279328224413, 0.22292803105186013, -0.09297313169192742, -0.16632893075070837, -0.025974249072811182, 0.1849089563728365] |
708.4398 | Hadronic Dijet Imbalance and Transverse-Momentum Dependent Parton
Distributions | We compare several recent theoretical studies of the single transverse spin
asymmetry in dijet-correlations at hadron colliders. We show that the results
of these studies are all consistent. To establish this, we investigate in
particular the two-gluon exchange contributions to the relevant initial and
final state interactions in the context of a simplifying model. Overall, the
results confirm that the dijet imbalance obeys at best a non-standard or
"generalized" transverse-momentum-dependent factorization.
| hep-ph | we compare several recent theoretical studies of the single transverse spin asymmetry in dijetcorrelations at hadron colliders we show that the results of these studies are all consistent to establish this we investigate in particular the twogluon exchange contributions to the relevant initial and final state interactions in the context of a simplifying model overall the results confirm that the dijet imbalance obeys at best a nonstandard or generalized transversemomentumdependent factorization | [['we', 'compare', 'several', 'recent', 'theoretical', 'studies', 'of', 'the', 'single', 'transverse', 'spin', 'asymmetry', 'in', 'dijetcorrelations', 'at', 'hadron', 'colliders', 'we', 'show', 'that', 'the', 'results', 'of', 'these', 'studies', 'are', 'all', 'consistent', 'to', 'establish', 'this', 'we', 'investigate', 'in', 'particular', 'the', 'twogluon', 'exchange', 'contributions', 'to', 'the', 'relevant', 'initial', 'and', 'final', 'state', 'interactions', 'in', 'the', 'context', 'of', 'a', 'simplifying', 'model', 'overall', 'the', 'results', 'confirm', 'that', 'the', 'dijet', 'imbalance', 'obeys', 'at', 'best', 'a', 'nonstandard', 'or', 'generalized', 'transversemomentumdependent', 'factorization']] | [-0.11384521442731577, 0.13958843041743552, -0.10257112705564525, 0.14861323425513026, -0.03264659526757896, -0.06592425279585379, 0.008239327411034277, 0.3602161167189479, -0.2173761762146439, -0.23912781150346354, -0.0006209874043374189, -0.30656735821227943, -0.06476555980542409, 0.1587269197018551, 0.0396214541846088, 0.0683968575538269, 0.10791455100822661, -0.0053615319808678966, -0.08690818632686777, -0.23206725652728763, 0.34774834679306615, 0.03367954911165205, 0.2895270571212417, 0.14394481615163385, 0.07049906285745756, 0.06251122039476675, -0.06960660642279046, -0.007217518665960857, -0.15663524125806622, 0.10177687729841896, 0.21817320160833853, 0.04641486776194402, 0.19486082083479103, -0.3868002508633903, -0.1545606518031231, 0.07948904509123947, 0.13358794509965394, 0.1702694684000952, -0.04947821236481624, -0.23056657681507722, 0.10308716796072466, -0.23208524818931306, -0.14040097406666194, -0.10186333564509238, -0.05729967621155083, 0.016119045857340097, -0.3106924131645688, 0.10935189867658275, 0.05170836009949978, -0.009791186851050173, -0.0570200311552201, -0.19483260471107705, -0.025869981764948796, 0.08097340057803584, 0.09974881231485466, 0.024827998191384332, 0.10301986990629562, -0.19246990617830306, -0.19695069875035967, 0.32814768027248126, -0.07552516143103795, -0.17296891393073435, 0.1961566000844219, -0.22693545157089828, -0.222950841639457, 0.06038043931060071, 0.2181884456159813, 0.07879243545674919, -0.15007712523053798, 0.08525811992502505, -0.07877408511870142, 0.13798980681624795, 0.03253813298818256, 0.052288607910408506, 0.19329932741820813, 0.1662150285705658, -0.013984736946544478, 0.13536422645140972, -0.06742355812207929, -0.12969805090022937, -0.3835837142808097, -0.11618350549002311, -0.1233610524546488, 0.017451326284624105, -0.05826785832489675, -0.07227515641466847, 0.4212314888302769, 0.19786022135189602, 0.2739141468490873, 0.026583854308617965, 0.3216619098825114, 0.0900053573439696, 0.04213415646393384, 0.029915351320856383, 0.3011978540769113, 0.11551469857139247, 0.12139634796019111, -0.2649425809670772, 0.07340762205588232, 0.009801626564668757] |
708.4399 | Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic
operations | We present algorithms for the type-IV discrete cosine transform (DCT-IV) and
discrete sine transform (DST-IV), as well as for the modified discrete cosine
transform (MDCT) and its inverse, that achieve a lower count of real
multiplications and additions than previously published algorithms, without
sacrificing numerical accuracy. Asymptotically, the operation count is reduced
from ~2NlogN to ~(17/9)NlogN for a power-of-two transform size N, and the exact
count is strictly lowered for all N > 4. These results are derived by
considering the DCT to be a special case of a DFT of length 8N, with certain
symmetries, and then pruning redundant operations from a recent improved fast
Fourier transform algorithm (based on a recursive rescaling of the
conjugate-pair split radix algorithm). The improved algorithms for DST-IV and
MDCT follow immediately from the improved count for the DCT-IV.
| cs.DS cs.NA | we present algorithms for the typeiv discrete cosine transform dctiv and discrete sine transform dstiv as well as for the modified discrete cosine transform mdct and its inverse that achieve a lower count of real multiplications and additions than previously published algorithms without sacrificing numerical accuracy asymptotically the operation count is reduced from 2nlogn to 179nlogn for a poweroftwo transform size n and the exact count is strictly lowered for all n 4 these results are derived by considering the dct to be a special case of a dft of length 8n with certain symmetries and then pruning redundant operations from a recent improved fast fourier transform algorithm based on a recursive rescaling of the conjugatepair split radix algorithm the improved algorithms for dstiv and mdct follow immediately from the improved count for the dctiv | [['we', 'present', 'algorithms', 'for', 'the', 'typeiv', 'discrete', 'cosine', 'transform', 'dctiv', 'and', 'discrete', 'sine', 'transform', 'dstiv', 'as', 'well', 'as', 'for', 'the', 'modified', 'discrete', 'cosine', 'transform', 'mdct', 'and', 'its', 'inverse', 'that', 'achieve', 'a', 'lower', 'count', 'of', 'real', 'multiplications', 'and', 'additions', 'than', 'previously', 'published', 'algorithms', 'without', 'sacrificing', 'numerical', 'accuracy', 'asymptotically', 'the', 'operation', 'count', 'is', 'reduced', 'from', '2nlogn', 'to', '179nlogn', 'for', 'a', 'poweroftwo', 'transform', 'size', 'n', 'and', 'the', 'exact', 'count', 'is', 'strictly', 'lowered', 'for', 'all', 'n', '4', 'these', 'results', 'are', 'derived', 'by', 'considering', 'the', 'dct', 'to', 'be', 'a', 'special', 'case', 'of', 'a', 'dft', 'of', 'length', '8n', 'with', 'certain', 'symmetries', 'and', 'then', 'pruning', 'redundant', 'operations', 'from', 'a', 'recent', 'improved', 'fast', 'fourier', 'transform', 'algorithm', 'based', 'on', 'a', 'recursive', 'rescaling', 'of', 'the', 'conjugatepair', 'split', 'radix', 'algorithm', 'the', 'improved', 'algorithms', 'for', 'dstiv', 'and', 'mdct', 'follow', 'immediately', 'from', 'the', 'improved', 'count', 'for', 'the', 'dctiv']] | [-0.04130582762882114, 0.06877074062537689, -0.10067380221847158, 0.08786934584988138, -0.08089300194540276, -0.1816595529528478, 0.0972858464363246, 0.39083435058307187, -0.2787880520981092, -0.30983941649588254, 0.15873768736178484, -0.2358024562082182, -0.16537681471269863, 0.25179612155323133, -0.06932100288641567, 0.11812966500650733, 0.045465769316069785, 0.047350300970272374, -0.16027340969034973, -0.29418277873908383, 0.19226336139433373, 0.05457006748049305, 0.2693685242700247, -0.05405645211442159, 0.10805424246220635, 0.05360584184527397, -0.08984422211606916, -0.023158261230072148, -0.04887154834695349, 0.11962679729152184, 0.17698480727759977, 0.1378577939986896, 0.1963301695560893, -0.4195047304893915, -0.17157066603227017, 0.09809200800328444, 0.1621667427977977, 0.05824455898613311, -0.029014778789132833, -0.28116775399450067, 0.11405277077036981, -0.12673623821196647, -0.06115965877229778, -0.09711790994311181, 0.02179123959145867, 0.0658207662582684, -0.3040614480439287, 0.07312941105427363, 0.07448045476787508, 0.017105329423569716, -0.01997349958669824, -0.16447795061752774, 0.04369799222689695, 0.08175046265196916, 0.002132652856506376, 0.04113404989027633, 0.07579732704191254, -0.0602680589681348, -0.14121480320866864, 0.3607991125076436, -0.0348306260883244, -0.23342597597780135, 0.11997320584666271, -0.06845616596983746, -0.14549783962205626, 0.19415207025684558, 0.14791754653963904, 0.09466249377180178, -0.0686992736443734, 0.1081370798844056, -0.033024013805418063, 0.16192529052764607, 0.1487550342706247, 0.010274099053528446, 0.06660460422102076, 0.11942048031263626, 0.08703609387067934, 0.15325375540773026, -0.07899772291376184, -0.045305901839254564, -0.2681814634420264, -0.1709569883165666, -0.24435259819908353, 0.011687537737620565, -0.12766240004812762, -0.15989992392177765, 0.38029443504861915, 0.07456384126383525, 0.19985967192870494, 0.16493381762590545, 0.3214967889711261, 0.15972268098356346, 0.0972510259383573, 0.08798282289017852, 0.11395620106755254, 0.10803738092609609, 0.06698890408286108, -0.19971234659986714, -0.02504687611855423, 0.14239834243288407] |
708.44 | Powers in a class of A-strict standard episturmian words | This paper concerns a specific class of strict standard episturmian words
whose directive words resemble those of characteristic Sturmian words. In
particular, we explicitly determine all integer powers occurring in such
infinite words, extending recent results of Damanik and Lenz (2003), who
studied powers in Sturmian words. The key tools in our analysis are canonical
decompositions and a generalization of singular words, which were originally
defined for the ubiquitous Fibonacci word. Our main results are demonstrated
via some examples, including the $k$-bonacci word: a generalization of the
Fibonacci word to a $k$-letter alphabet ($k\geq2$).
| math.CO cs.DM | this paper concerns a specific class of strict standard episturmian words whose directive words resemble those of characteristic sturmian words in particular we explicitly determine all integer powers occurring in such infinite words extending recent results of damanik and lenz 2003 who studied powers in sturmian words the key tools in our analysis are canonical decompositions and a generalization of singular words which were originally defined for the ubiquitous fibonacci word our main results are demonstrated via some examples including the kbonacci word a generalization of the fibonacci word to a kletter alphabet kgeq2 | [['this', 'paper', 'concerns', 'a', 'specific', 'class', 'of', 'strict', 'standard', 'episturmian', 'words', 'whose', 'directive', 'words', 'resemble', 'those', 'of', 'characteristic', 'sturmian', 'words', 'in', 'particular', 'we', 'explicitly', 'determine', 'all', 'integer', 'powers', 'occurring', 'in', 'such', 'infinite', 'words', 'extending', 'recent', 'results', 'of', 'damanik', 'and', 'lenz', '2003', 'who', 'studied', 'powers', 'in', 'sturmian', 'words', 'the', 'key', 'tools', 'in', 'our', 'analysis', 'are', 'canonical', 'decompositions', 'and', 'a', 'generalization', 'of', 'singular', 'words', 'which', 'were', 'originally', 'defined', 'for', 'the', 'ubiquitous', 'fibonacci', 'word', 'our', 'main', 'results', 'are', 'demonstrated', 'via', 'some', 'examples', 'including', 'the', 'kbonacci', 'word', 'a', 'generalization', 'of', 'the', 'fibonacci', 'word', 'to', 'a', 'kletter', 'alphabet', 'kgeq2']] | [-0.10924647741534925, 0.13587837881269924, -0.010683177702842241, 0.14373011498072957, -0.1305378820459814, -0.13376970727868537, 0.07286028088655006, 0.3253845336272361, -0.3356370135071747, -0.22988865040044518, 0.0644580088314313, -0.3238194416019511, -0.1927814842461846, 0.2333857372559191, -0.14210732552183278, 0.06716282275366656, 0.053917626454463935, 0.11490134562444972, -0.04774069772448708, -0.30514420337226994, 0.3446460624146176, -0.015612407032638154, 0.22706908330648265, -0.05749039041334169, 0.08304460234741898, -0.02104161639370896, -0.11081107254536386, -0.01814296566683086, -0.14862806399531187, 0.13663990161396525, 0.3426012412070277, 0.11332484844457755, 0.26446528307241485, -0.3198623977839313, -0.2093244628941125, 0.15260905034324906, 0.14654144933546318, 0.08643303583301802, -0.021256089693819608, -0.2666639991580172, 0.12740477065768147, -0.21662229555163612, -0.04626375523970482, -0.040593726223612084, 0.08264126648452688, 0.1198807531432744, -0.21251472571686386, -0.0020132968499463923, 0.21228018376797914, 0.08916307718925268, -0.024509984445064626, -0.17423166206819898, 0.07554450864096153, 0.11484869025979548, 0.021488336390478813, 0.005664859437680942, 0.02567186951637268, -0.06536227164225296, -0.20666111572806606, 0.3814880737286814, -0.038806091145701466, -0.21030430693397337, 0.15809980975563062, -0.13021214366791414, -0.17667004778644346, 0.06152756226823685, 0.09303648213043492, 0.09550024315893174, -0.07712821539570676, 0.10991715308912892, -0.18238430327557503, 0.16387634199271175, 0.2396557357736883, 0.0716836719892602, 0.1459640597013083, 0.08588076491209808, -0.08263218030828903, 0.16402621923430644, 0.04952422258483761, -0.055885204584635, -0.25580274844740297, -0.16016320448289526, -0.16257984817964322, 0.03547658282208276, -0.10456279243628663, -0.2170876857943516, 0.41552316048677934, 0.125132212839046, 0.1629150294342098, 0.13979439676536168, 0.20683838586580564, 0.08087845255888285, 0.08039486527125886, 0.07100641865164359, 0.043893336352181345, 0.1394414477312858, 0.023134900252037544, -0.12035977490929926, 0.04480223421705887, 0.19811004957684533] |
708.4401 | 2-gerbes and 2-Tate spaces | We construct a central extension of the group of automorphisms of a 2-Tate
vector space viewed as a discrete 2-group. This is done using an action of this
2-group on a 2-gerbe of gerbel theories. This central extension is used to
define central extensions of double loop groups.
| math.CT math.RT | we construct a central extension of the group of automorphisms of a 2tate vector space viewed as a discrete 2group this is done using an action of this 2group on a 2gerbe of gerbel theories this central extension is used to define central extensions of double loop groups | [['we', 'construct', 'a', 'central', 'extension', 'of', 'the', 'group', 'of', 'automorphisms', 'of', 'a', '2tate', 'vector', 'space', 'viewed', 'as', 'a', 'discrete', '2group', 'this', 'is', 'done', 'using', 'an', 'action', 'of', 'this', '2group', 'on', 'a', '2gerbe', 'of', 'gerbel', 'theories', 'this', 'central', 'extension', 'is', 'used', 'to', 'define', 'central', 'extensions', 'of', 'double', 'loop', 'groups']] | [-0.192905160182334, 0.06384599602445613, -0.13574377556351272, 0.10206082600733622, -0.10683939298813014, -0.07619546096217125, 0.02189965268715899, 0.3149587550061814, -0.28939220737269583, -0.20389650290475247, 0.1269075364330189, -0.16631106309037894, -0.10204273073171127, 0.16264680784909016, -0.14632936411517414, -0.08106354780574428, -0.05633034335171923, 0.17910345853801737, -0.0916518845417081, -0.18517102966917323, 0.35529232960432133, 0.040617538170215295, 0.18237194174187296, -0.0423517150091047, 0.142353064638186, 0.07213407873790315, -0.04970595379300574, 0.019317224948107205, -0.08211517693633412, 0.17450577941812337, 0.26382128362781665, 0.05378169494066784, 0.23079491489903725, -0.3337081060843899, -0.21427920347753357, 0.160380617378557, 0.1456898559835997, 0.03374174615724924, -0.07038423786821597, -0.2815408621855239, 0.1060849396868589, -0.28633484664432546, -0.15499788021391375, -0.02305663844937102, 0.025241934766180495, -0.06863957263053731, -0.22169912249801008, -0.013540723138151968, 0.07869221085801403, 0.13046319606377088, -0.02974571070653644, -0.03235697944430595, -0.014955139283011568, 0.11986809449785567, -0.006517565957805577, 0.11206832238314475, 0.16158675823479574, -0.08104559708822598, -0.21392732983494692, 0.4394915496256757, -0.10257838894315857, -0.2408740002107113, 0.12934803007606496, -0.09695683673341224, -0.2316786891959132, 0.056915280924357, 0.13915191004250912, 0.190408397981144, -0.0607712942750213, 0.2056900278486787, -0.15724697503003668, 0.13295899859649388, 0.04081940430989291, -0.04476261130989866, 0.18646194995876322, 0.16929325815092058, 0.0899202998757283, 0.20202510831679435, 0.028665405205213167, -0.05044760915668721, -0.41710458065759626, -0.2136674730622388, -0.07792388857837687, 0.10526433076333017, -0.0657024057383867, -0.196854439033988, 0.42555587079891183, 0.08446515615078364, 0.1763728368492361, 0.05822714287391369, 0.1945793889611563, 0.10886256895870208, 0.15898281050489305, 0.025660535796208583, 0.10928221468248979, 0.27036620480345286, -0.05878928928893614, -0.13061212995981283, -0.09497621316621278, 0.23186218845558929] |
708.4402 | Mirror symmetry and tropical geometry | Using tropical geometry we propose a mirror construction for monomial
degenerations of Calabi-Yau varieties in toric Fano varieties. The construction
reproduces the mirror constructions by Batyrev for Calabi-Yau hypersurfaces and
by Batyrev and Borisov for Calabi-Yau complete intersections. We apply the
construction to Pfaffian examples and recover the mirror given by Rodland for
the degree 14 Calabi-Yau threefold in PP^6 defined by the Pfaffians of a
general linear 7x7 skew-symmetric matrix.
We provide the necessary background knowledge entering into the tropical
mirror construction such as toric geometry, Groebner bases, tropical geometry,
Hilbert schemes and deformations. The tropical approach yields an algorithm
which we illustrate in a series of explicit examples.
| math.AG | using tropical geometry we propose a mirror construction for monomial degenerations of calabiyau varieties in toric fano varieties the construction reproduces the mirror constructions by batyrev for calabiyau hypersurfaces and by batyrev and borisov for calabiyau complete intersections we apply the construction to pfaffian examples and recover the mirror given by rodland for the degree 14 calabiyau threefold in pp6 defined by the pfaffians of a general linear 7x7 skewsymmetric matrix we provide the necessary background knowledge entering into the tropical mirror construction such as toric geometry groebner bases tropical geometry hilbert schemes and deformations the tropical approach yields an algorithm which we illustrate in a series of explicit examples | [['using', 'tropical', 'geometry', 'we', 'propose', 'a', 'mirror', 'construction', 'for', 'monomial', 'degenerations', 'of', 'calabiyau', 'varieties', 'in', 'toric', 'fano', 'varieties', 'the', 'construction', 'reproduces', 'the', 'mirror', 'constructions', 'by', 'batyrev', 'for', 'calabiyau', 'hypersurfaces', 'and', 'by', 'batyrev', 'and', 'borisov', 'for', 'calabiyau', 'complete', 'intersections', 'we', 'apply', 'the', 'construction', 'to', 'pfaffian', 'examples', 'and', 'recover', 'the', 'mirror', 'given', 'by', 'rodland', 'for', 'the', 'degree', '14', 'calabiyau', 'threefold', 'in', 'pp6', 'defined', 'by', 'the', 'pfaffians', 'of', 'a', 'general', 'linear', '7x7', 'skewsymmetric', 'matrix', 'we', 'provide', 'the', 'necessary', 'background', 'knowledge', 'entering', 'into', 'the', 'tropical', 'mirror', 'construction', 'such', 'as', 'toric', 'geometry', 'groebner', 'bases', 'tropical', 'geometry', 'hilbert', 'schemes', 'and', 'deformations', 'the', 'tropical', 'approach', 'yields', 'an', 'algorithm', 'which', 'we', 'illustrate', 'in', 'a', 'series', 'of', 'explicit', 'examples']] | [-0.15132405852933448, -0.031461743823186866, -0.062203344871738446, 0.14966947698741462, -0.06550902803428471, -0.17459276532840537, -0.051068370799637504, 0.2823518155556586, -0.2745440707507509, -0.24414536447902382, 0.12046700350496124, -0.19067310487972228, -0.26118058901004215, 0.2008455753848129, -0.24743516242597252, -0.011337300538326855, 0.012151313859417482, -0.0503216271126466, -0.16111648275034018, -0.39934226044419185, 0.47881343566243434, 0.020355342499290902, 0.26221037607778, 0.053134881692973, 0.15465831466846997, 0.04514186837520726, -0.010167866647760902, -0.05521132231310562, -0.14080340266486424, 0.17708487803745945, 0.37616222666326427, 0.1409746490729352, 0.03884645027142984, -0.4456751243452783, -0.07580867239718188, 0.13798702642735508, 0.07715710330133636, 0.15997752692459877, -0.02930057636048231, -0.2306541427280064, 0.012188228390490016, -0.1491558180155321, -0.27377883353512045, -0.16482523834781238, -0.02289343372642718, 0.01763809478358814, -0.22545730649424647, -0.08243666518548573, 0.09848660863591013, 0.18266570935439733, 0.009267290795428885, -0.11466462149056261, -0.12348243163864094, -0.030749385775480833, -0.06643580136113558, 0.011724942057669439, 0.06252267386729794, -0.10186116226638357, -0.16205794152941694, 0.31205686687974743, -0.01832780673942546, -0.23546812643676443, 0.024690096050983778, -0.08253905529811702, -0.1270511758802631, 0.184138416700686, 0.12292527198722517, 0.18905845455204448, 0.001971135980932525, 0.169146052016273, -0.10172623010886903, 0.009111313347670215, 0.1613802299231153, -0.04844246308601686, 0.15602372766308556, 0.1049458953941077, 0.07205682241409603, 0.15899149416967434, -0.013657828223788075, -0.10026446798022974, -0.428893957114606, -0.16427181714270436, -0.10858693426578409, 0.18177517561276477, -0.15834369311589938, -0.15328677849956202, 0.43509795278724694, -0.027401514972249668, 0.20676990953722485, 0.09737048726809142, 0.2572374703983466, -0.02738955531687545, 0.022865527162880258, 0.03773149064121147, 0.14975376741926152, 0.2632231503569831, 0.003072573975832374, -0.13464279438550067, -0.07721406475347639, 0.2814449737003694] |
708.4403 | VLBA determination of the distance to nearby star-forming regions II.
Hubble 4 and HDE 283572 in Taurus | The non-thermal 3.6 cm radio continuum emission from the naked T Tauri stars
Hubble 4 and HDE 283572 in Taurus has been observed with the Very Long Baseline
Array (VLBA) at 6 epochs between September 2004 and December 2005 with a
typical separation between successive observations of 3 months. Thanks to the
remarkably accurate astrometry delivered by the VLBA, the trajectory described
by both stars on the plane of the sky could be traced very precisely, and
modeled as the superposition of their trigonometric parallax and uniform proper
motion. The best fits yield distances to Hubble 4 and HDE 283572 of 132.8 +/-
0.5 and 128.5 +/- 0.6 pc, respectively. Combining these results with the other
two existing VLBI distance determinations in Taurus, we estimate the mean
distance to the Taurus association to be 137 pc with a dispersion (most
probably reflecting the depth of the complex) of about 20 pc.
| astro-ph | the nonthermal 36 cm radio continuum emission from the naked t tauri stars hubble 4 and hde 283572 in taurus has been observed with the very long baseline array vlba at 6 epochs between september 2004 and december 2005 with a typical separation between successive observations of 3 months thanks to the remarkably accurate astrometry delivered by the vlba the trajectory described by both stars on the plane of the sky could be traced very precisely and modeled as the superposition of their trigonometric parallax and uniform proper motion the best fits yield distances to hubble 4 and hde 283572 of 1328 05 and 1285 06 pc respectively combining these results with the other two existing vlbi distance determinations in taurus we estimate the mean distance to the taurus association to be 137 pc with a dispersion most probably reflecting the depth of the complex of about 20 pc | [['the', 'nonthermal', '36', 'cm', 'radio', 'continuum', 'emission', 'from', 'the', 'naked', 't', 'tauri', 'stars', 'hubble', '4', 'and', 'hde', '283572', 'in', 'taurus', 'has', 'been', 'observed', 'with', 'the', 'very', 'long', 'baseline', 'array', 'vlba', 'at', '6', 'epochs', 'between', 'september', '2004', 'and', 'december', '2005', 'with', 'a', 'typical', 'separation', 'between', 'successive', 'observations', 'of', '3', 'months', 'thanks', 'to', 'the', 'remarkably', 'accurate', 'astrometry', 'delivered', 'by', 'the', 'vlba', 'the', 'trajectory', 'described', 'by', 'both', 'stars', 'on', 'the', 'plane', 'of', 'the', 'sky', 'could', 'be', 'traced', 'very', 'precisely', 'and', 'modeled', 'as', 'the', 'superposition', 'of', 'their', 'trigonometric', 'parallax', 'and', 'uniform', 'proper', 'motion', 'the', 'best', 'fits', 'yield', 'distances', 'to', 'hubble', '4', 'and', 'hde', '283572', 'of', '1328', '05', 'and', '1285', '06', 'pc', 'respectively', 'combining', 'these', 'results', 'with', 'the', 'other', 'two', 'existing', 'vlbi', 'distance', 'determinations', 'in', 'taurus', 'we', 'estimate', 'the', 'mean', 'distance', 'to', 'the', 'taurus', 'association', 'to', 'be', '137', 'pc', 'with', 'a', 'dispersion', 'most', 'probably', 'reflecting', 'the', 'depth', 'of', 'the', 'complex', 'of', 'about', '20', 'pc']] | [-0.06869118981025862, 0.0983277896900455, -0.07991943975610522, 0.051750870727802684, -0.09689613407940273, -0.11172568445147059, 0.06108136700728796, 0.4161024850163446, -0.19415545766476242, -0.40878641032988844, 0.09211000928736524, -0.28467475394437075, 0.014905562569252871, 0.18856396427106162, -0.03896240026208778, -0.025306699049796585, 0.10220557451795087, -0.059432170649165374, -0.07321627736529147, -0.24707865832536013, 0.2088659632319722, 0.09570845706550866, 0.14561405059281463, -0.03358750948573044, 0.09152573589298049, -0.08913186444094617, -0.11719665383832567, -0.0023869169850977475, -0.13962275304225266, 0.07497637749230801, 0.22757922695955923, 0.10231274571804949, 0.16985628268550207, -0.3168306793805037, -0.19388843049926546, 0.036441446022574334, 0.14641358666184465, -0.025512270277816076, 0.08069485404306785, -0.3375368149163539, 0.048383945892971236, -0.175649982714563, -0.15875643809533432, 0.08913213065856655, 0.10399740905619707, 0.0468053191575228, -0.1980063907314567, 0.16354133213179547, -0.033057800825019586, 0.12151180535723649, -0.11817471134701381, -0.16377477145335018, -0.002690682062666688, 0.11577925195717471, 0.0008272976058241505, 0.1714801352608624, 0.08151972503245077, -0.07600451733341954, -0.08466187688981451, 0.3818073945273114, -0.1036470745730795, -0.0015974745245012861, 0.24683551832364758, -0.22774847861279376, -0.13356984372644518, 0.15284983282783787, 0.12035200154938541, 0.10851488483057126, -0.17757554666204425, -0.008434865329109505, -0.0003386660410253794, 0.24020310315684784, 0.14267417865386545, 0.06470518139653508, 0.28405837444026, 0.1114380497957311, 0.01757300742933114, 0.06091649233068233, -0.3176854935384062, -0.07922337219687867, -0.25424876264702756, -0.06168728485934346, -0.14783962249158938, 0.10097022923709661, -0.18583819146940778, -0.04743557141456228, 0.3169997662818372, 0.06449078284704045, 0.20925527434771093, 0.08243492093005986, 0.26532050536714197, 0.02114692810319689, 0.11125480477704398, 0.14663572988985418, 0.35413606222968974, 0.16493244269775265, 0.1471777654209193, -0.1823861042339192, 0.019766453587943874, -0.006123544840492158] |
708.4404 | The largest component in a subcritical random graph with a power law
degree distribution | It is shown that in a subcritical random graph with given vertex degrees
satisfying a power law degree distribution with exponent $\gamma>3$, the
largest component is of order $n^{1/(\gamma-1)}$. More precisely, the order of
the largest component is approximatively given by a simple constant times the
largest vertex degree. These results are extended to several other random graph
models with power law degree distributions. This proves a conjecture by
Durrett.
| math.PR math.CO | it is shown that in a subcritical random graph with given vertex degrees satisfying a power law degree distribution with exponent gamma3 the largest component is of order n1gamma1 more precisely the order of the largest component is approximatively given by a simple constant times the largest vertex degree these results are extended to several other random graph models with power law degree distributions this proves a conjecture by durrett | [['it', 'is', 'shown', 'that', 'in', 'a', 'subcritical', 'random', 'graph', 'with', 'given', 'vertex', 'degrees', 'satisfying', 'a', 'power', 'law', 'degree', 'distribution', 'with', 'exponent', 'gamma3', 'the', 'largest', 'component', 'is', 'of', 'order', 'n1gamma1', 'more', 'precisely', 'the', 'order', 'of', 'the', 'largest', 'component', 'is', 'approximatively', 'given', 'by', 'a', 'simple', 'constant', 'times', 'the', 'largest', 'vertex', 'degree', 'these', 'results', 'are', 'extended', 'to', 'several', 'other', 'random', 'graph', 'models', 'with', 'power', 'law', 'degree', 'distributions', 'this', 'proves', 'a', 'conjecture', 'by', 'durrett']] | [-0.16238481020887516, 0.16775716873151916, -0.06104826440236398, 0.002650647600447493, -0.08123580687429889, -0.1661820397446198, -0.014094619434659502, 0.32819283016558204, -0.2509201341707792, -0.2810564096351819, 0.07328672827321238, -0.32016378984054816, -0.13993922482643809, 0.1423769534299416, -0.027189520679946455, 0.055651568587719726, 0.0160457757966859, 0.11362065317641412, 0.0631818377180025, -0.2833725935654781, 0.3118546826631895, 0.04193365704268217, 0.2289604939254267, 0.021002816388915692, 0.09036370232435209, -0.024861299452771032, -0.012783916879977498, 0.08212142611986824, -0.14703350464000584, 0.10334881405745233, 0.19481440907844183, 0.08013140857219696, 0.256871018019904, -0.2909048853841211, -0.2148774566062327, 0.18662288594724877, 0.053638960993183514, 0.03993252247372376, 0.0282978452631921, -0.19091333424938575, 0.17713926889534506, -0.190824220970431, -0.23309753707477024, 0.0036407317300992353, 0.08658482675839747, 0.04779605490288564, -0.31906555183231833, 0.09400554558461797, 0.12690733829513193, 0.04675675783572453, 0.08558514375638748, -0.14764331176078746, -0.021327443893200584, 0.07465596863600825, 0.009110618864984385, 0.06646432492748967, 0.051812384064708436, -0.13667102644685655, -0.13286239786871842, 0.36796487849205733, -0.026184272596479527, -0.16949776304619654, 0.10318709508116757, -0.20146602440093245, -0.1445609704790903, 0.12076321507671049, 0.09077290103637746, 0.0973291890107378, -0.13677490140710558, 0.1057057533679264, -0.05879911793661969, 0.20383050878133094, 0.05524248723605914, -0.03642404747993818, 0.12301823106993522, 0.09360640134130205, 0.14767308204567858, 0.16475676723888943, -0.01473897751919659, -0.08992639359951551, -0.2899612048441278, -0.06469845204348011, -0.252303529078407, 0.11202558668862496, -0.23013485139235854, -0.11179529053416835, 0.45072094552285435, 0.05277760155232889, 0.21981785482327854, 0.13299918241931924, 0.2459041037397193, 0.19179226058934415, 0.0713224131248093, 0.1426251872908324, 0.12363929038069078, 0.1923409054122333, 0.03144782464951277, -0.12714714183738188, 0.11328072511324926, 0.09864940626846094] |
708.4405 | Unparticle Physics And Gauge Coupling Unification | Unparticle physics from a hidden conformal sector can alter the evolution of
the Standard Model (SM) gauge couplings via TeV scale threshold corrections. We
discuss how this may lead to gauge coupling unification at M_{GUT}\approx 2
\times 10^{15} GeV -- 5 \times 10^{17} GeV without introducing new particles in
the SM sector.
| hep-ph | unparticle physics from a hidden conformal sector can alter the evolution of the standard model sm gauge couplings via tev scale threshold corrections we discuss how this may lead to gauge coupling unification at m_gutapprox 2 times 1015 gev 5 times 1017 gev without introducing new particles in the sm sector | [['unparticle', 'physics', 'from', 'a', 'hidden', 'conformal', 'sector', 'can', 'alter', 'the', 'evolution', 'of', 'the', 'standard', 'model', 'sm', 'gauge', 'couplings', 'via', 'tev', 'scale', 'threshold', 'corrections', 'we', 'discuss', 'how', 'this', 'may', 'lead', 'to', 'gauge', 'coupling', 'unification', 'at', 'm_gutapprox', '2', 'times', '1015', 'gev', '5', 'times', '1017', 'gev', 'without', 'introducing', 'new', 'particles', 'in', 'the', 'sm', 'sector']] | [-0.0820527495071292, 0.3694175128825009, -0.013706398354843259, 0.21383479020325466, -0.08711385298520327, -0.18090771726798266, 0.010775881451554597, 0.29530039340257647, -0.22002017129212617, -0.40121423311531546, -0.012019223247189076, -0.2643354947865009, 0.0015238794591277839, 0.047027440047822895, 0.07003602888435126, -0.02789737280458212, -0.020138696813955904, 0.0041975719854235646, -0.08186801394447685, -0.23221464500296862, 0.2340002614725381, 0.08433137871325017, 0.183723180629313, 0.13888238148763776, 0.07946302783675492, -0.015092956135049462, 0.06820226866751909, -0.15113428140059113, -0.11728320740163327, 0.06842283902689815, 0.1421685655787587, 0.03981028068810701, 0.11003050975501537, -0.39752840576693416, -0.185825203768909, 0.1676004111766815, 0.16383638652041554, 0.0898558519873768, -0.04391933208797127, -0.3530757652781904, 0.11090120315551757, -0.23837728707119824, -0.1572197133069858, -0.027632160456851126, -0.13580061156302692, -0.19441935647279024, -0.3016160764545202, 0.12996087935753167, -0.07841664855368435, 0.02901790080592036, 0.04791154991835356, -0.12123712689382955, -0.015785765843465926, -0.0359482950065285, 0.21137632965808734, 0.06306148757226765, 0.2578553168196231, -0.21711812011431902, -0.20842721475288273, 0.44806749634444715, -0.14800230907276274, -0.15277536608278752, 0.17211782364174724, -0.16258433220908045, -0.19612189218809362, 0.14257455203682184, 0.2245786602795124, -0.0019754133000969886, -0.19318271280266344, 0.29661189213395117, 0.025162800084799528, 0.2538602569140494, 0.06634522655978799, 0.052007967345416545, 0.26042061652988197, 0.15748893808573483, 0.040863334154710176, 0.003238936923444271, -0.04211824055295438, -0.08879215834662318, -0.4606076726550236, -0.06057556530460715, -0.010691666454076766, 0.18439902377547696, -0.19773104146122933, 0.031036209668964147, 0.4377566273510456, 0.24063706980639835, 0.21716934496536852, 0.03596692256629467, 0.17203803319483996, 0.07663718704134226, 0.15404612445272506, 0.03756000023335218, 0.3683506163023412, 0.10114479172974825, 0.11415496110683307, -0.1542483941046521, -0.10678550797514617, 0.09466082829982042] |
708.4406 | A characterization of fine words over a finite alphabet | To any infinite word w over a finite alphabet A we can associate two infinite
words min(w) and max(w) such that any prefix of min(w) (resp. max(w)) is the
lexicographically smallest (resp. greatest) amongst the factors of w of the
same length. We say that an infinite word w over A is "fine" if there exists an
infinite word u such that, for any lexicographic order, min(w) = au where a =
min(A). In this paper, we characterize fine words; specifically, we prove that
an infinite word w is fine if and only if w is either a "strict episturmian
word" or a strict "skew episturmian word''. This characterization generalizes a
recent result of G. Pirillo, who proved that a fine word over a 2-letter
alphabet is either an (aperiodic) Sturmian word, or an ultimately periodic (but
not periodic) infinite word, all of whose factors are (finite) Sturmian.
| math.CO cs.DM | to any infinite word w over a finite alphabet a we can associate two infinite words minw and maxw such that any prefix of minw resp maxw is the lexicographically smallest resp greatest amongst the factors of w of the same length we say that an infinite word w over a is fine if there exists an infinite word u such that for any lexicographic order minw au where a mina in this paper we characterize fine words specifically we prove that an infinite word w is fine if and only if w is either a strict episturmian word or a strict skew episturmian word this characterization generalizes a recent result of g pirillo who proved that a fine word over a 2letter alphabet is either an aperiodic sturmian word or an ultimately periodic but not periodic infinite word all of whose factors are finite sturmian | [['to', 'any', 'infinite', 'word', 'w', 'over', 'a', 'finite', 'alphabet', 'a', 'we', 'can', 'associate', 'two', 'infinite', 'words', 'minw', 'and', 'maxw', 'such', 'that', 'any', 'prefix', 'of', 'minw', 'resp', 'maxw', 'is', 'the', 'lexicographically', 'smallest', 'resp', 'greatest', 'amongst', 'the', 'factors', 'of', 'w', 'of', 'the', 'same', 'length', 'we', 'say', 'that', 'an', 'infinite', 'word', 'w', 'over', 'a', 'is', 'fine', 'if', 'there', 'exists', 'an', 'infinite', 'word', 'u', 'such', 'that', 'for', 'any', 'lexicographic', 'order', 'minw', 'au', 'where', 'a', 'mina', 'in', 'this', 'paper', 'we', 'characterize', 'fine', 'words', 'specifically', 'we', 'prove', 'that', 'an', 'infinite', 'word', 'w', 'is', 'fine', 'if', 'and', 'only', 'if', 'w', 'is', 'either', 'a', 'strict', 'episturmian', 'word', 'or', 'a', 'strict', 'skew', 'episturmian', 'word', 'this', 'characterization', 'generalizes', 'a', 'recent', 'result', 'of', 'g', 'pirillo', 'who', 'proved', 'that', 'a', 'fine', 'word', 'over', 'a', '2letter', 'alphabet', 'is', 'either', 'an', 'aperiodic', 'sturmian', 'word', 'or', 'an', 'ultimately', 'periodic', 'but', 'not', 'periodic', 'infinite', 'word', 'all', 'of', 'whose', 'factors', 'are', 'finite', 'sturmian']] | [-0.15422303396538664, 0.21473462847573763, -0.037738297367468476, 0.08282185616912575, -0.13352978081531722, -0.16519342001136042, 0.10393847870378921, 0.42849457511448696, -0.3921731830580951, -0.15440112170711484, 0.06454195868868176, -0.3123820711896844, -0.09371316158978192, 0.16580214445424993, -0.11798856711678513, -0.012818636200454545, 0.09686849816153718, 0.1933705414875015, -0.07040328980098184, -0.2885410389512114, 0.3208453003444696, -0.060338180531326634, 0.16750620914406258, -0.0020160861121975397, 0.16688897822065, -0.012146368579722124, -0.03253421152037671, 0.0005675355157470459, -0.15212346656429973, 0.06257629714115229, 0.30545485083473056, 0.11974154206547784, 0.3083507529434378, -0.2944503450408986, -0.16628511978252727, 0.25009728146219395, 0.1623457876378543, 0.07003291497287685, 0.010737231876764905, -0.22174474526171203, 0.20635733083974928, -0.22722902590383406, -0.02984829707874929, 0.036022751560205055, 0.15291861817240715, 0.030345842411282332, -0.25372898685809686, -0.053662996739149094, 0.20508927635430702, 0.07519381941768201, -0.01752535771651908, -0.10748535255289139, 0.006928862413799722, 0.10372222265649637, -0.004624240663323603, 0.07622191579438338, -0.01056832936273454, -0.06041864970577753, -0.18528484448723573, 0.38847353766123727, -0.1042429661475543, -0.259870181207813, 0.13803805276585665, -0.153845895977997, -0.1284827981686398, 0.1217491340660809, 0.07257202672070429, 0.0698254058545787, -0.053645140848645606, 0.17631880893238042, -0.20874771165776335, 0.2902331033830008, 0.21628334905556723, 0.032543132510610334, 0.12080388360860923, 0.11771159745555065, 0.09818092711454844, 0.09608791645756629, 0.03459610066644541, 0.069788993361776, -0.2771554249466384, -0.16769833909985546, -0.161782536477852, 0.09672100724158442, -0.15232953261755477, -0.29831858926567517, 0.33171958971309334, 0.07863722188072916, 0.1713986757230524, 0.11621836961042901, 0.1869381173914107, 0.07638405157533819, 0.06745935007228121, 0.12165177649537688, 0.009866102168030322, 0.07048661384351985, -0.06714354918501021, -0.15026881390136398, 0.08457262553386263, 0.15997261722406295] |
708.4407 | Algebraic Distributed Differential Space-Time Codes with Low Decoding
Complexity | The differential encoding/decoding setup introduced by Kiran et al,
Oggier-Hassibi and Jing-Jafarkhani for wireless relay networks that use
codebooks consisting of unitary matrices is extended to allow codebooks
consisting of scaled unitary matrices. For such codebooks to be usable in the
Jing-Hassibi protocol for cooperative diversity, the conditions involving the
relay matrices and the codebook that need to be satisfied are identified. Using
the algebraic framework of extended Clifford algebras, a new class of
Distributed Differential Space-Time Codes satisfying these conditions for power
of two number of relays and also achieving full cooperative diversity with a
low complexity sub-optimal receiver is proposed. Simulation results indicate
that the proposed codes outperform both the cyclic codes as well as the
circulant codes. Furthermore, these codes can also be applied as Differential
Space-Time codes for non-coherent communication in classical point to point
multiple antenna systems.
| cs.IT cs.DM math.IT math.RA | the differential encodingdecoding setup introduced by kiran et al oggierhassibi and jingjafarkhani for wireless relay networks that use codebooks consisting of unitary matrices is extended to allow codebooks consisting of scaled unitary matrices for such codebooks to be usable in the jinghassibi protocol for cooperative diversity the conditions involving the relay matrices and the codebook that need to be satisfied are identified using the algebraic framework of extended clifford algebras a new class of distributed differential spacetime codes satisfying these conditions for power of two number of relays and also achieving full cooperative diversity with a low complexity suboptimal receiver is proposed simulation results indicate that the proposed codes outperform both the cyclic codes as well as the circulant codes furthermore these codes can also be applied as differential spacetime codes for noncoherent communication in classical point to point multiple antenna systems | [['the', 'differential', 'encodingdecoding', 'setup', 'introduced', 'by', 'kiran', 'et', 'al', 'oggierhassibi', 'and', 'jingjafarkhani', 'for', 'wireless', 'relay', 'networks', 'that', 'use', 'codebooks', 'consisting', 'of', 'unitary', 'matrices', 'is', 'extended', 'to', 'allow', 'codebooks', 'consisting', 'of', 'scaled', 'unitary', 'matrices', 'for', 'such', 'codebooks', 'to', 'be', 'usable', 'in', 'the', 'jinghassibi', 'protocol', 'for', 'cooperative', 'diversity', 'the', 'conditions', 'involving', 'the', 'relay', 'matrices', 'and', 'the', 'codebook', 'that', 'need', 'to', 'be', 'satisfied', 'are', 'identified', 'using', 'the', 'algebraic', 'framework', 'of', 'extended', 'clifford', 'algebras', 'a', 'new', 'class', 'of', 'distributed', 'differential', 'spacetime', 'codes', 'satisfying', 'these', 'conditions', 'for', 'power', 'of', 'two', 'number', 'of', 'relays', 'and', 'also', 'achieving', 'full', 'cooperative', 'diversity', 'with', 'a', 'low', 'complexity', 'suboptimal', 'receiver', 'is', 'proposed', 'simulation', 'results', 'indicate', 'that', 'the', 'proposed', 'codes', 'outperform', 'both', 'the', 'cyclic', 'codes', 'as', 'well', 'as', 'the', 'circulant', 'codes', 'furthermore', 'these', 'codes', 'can', 'also', 'be', 'applied', 'as', 'differential', 'spacetime', 'codes', 'for', 'noncoherent', 'communication', 'in', 'classical', 'point', 'to', 'point', 'multiple', 'antenna', 'systems']] | [-0.20659752069041132, 0.048031512860740935, -0.031217105640098452, 0.05789477502694353, -0.03365019133281229, -0.2860193050133863, 0.045225014787034265, 0.38522948332663093, -0.2996321881256465, -0.26025822658557446, 0.10295529038994573, -0.20239191386915212, -0.1964534324793411, 0.19496401036823435, -0.13173094330289, 0.10996521827764809, 0.05391110870321947, 0.0030784457240120642, -0.09017073387180322, -0.3154542683956346, 0.3580319529141499, 0.16460418846691027, 0.29074254819591133, -0.058207361732742616, 0.10772655622567981, 0.0035864871361159854, -0.026920672891927618, -0.011194073721500379, -0.07387994778062941, 0.05672023685848607, 0.3788715572944576, 0.1795988702647654, 0.17934190753315177, -0.37981442968136564, -0.2535813819417464, 0.10023253836136843, 0.17329337353086366, 0.12766149205687854, -0.06059662250668875, -0.26874090849554966, 0.15682400134059468, -0.2271925222461245, -0.032585319183168135, -0.04504551312087902, -0.06928285862585264, 0.06512619205916832, -0.37083662069801776, -0.013564549167391046, 0.04000782335393264, 0.053578529370549535, -0.022940256476535328, -0.14360636325602952, 0.030607343819324992, 0.13721334054966325, -0.06952492154669017, -0.04274957930153635, 0.07228738254260471, -0.01148888840980362, -0.1655841570730055, 0.33744343988863484, 0.011839333840180188, -0.25537721314800105, 0.12901006598715736, -0.0503350918147979, -0.12792018436427627, 0.15077376513010157, 0.22900639660656452, 0.08604635377414524, -0.1452640526196254, 0.07663326059929594, -0.059783678402059844, 0.13909978705799272, 0.09735898163635284, 0.13950447892005155, 0.1262350805020625, 0.08827533032412507, 0.09430217811438654, 0.13479133288159834, -0.03786396068140415, -0.1281479282824356, -0.250587644026174, -0.132797331544238, -0.21192142346075604, 0.016027693709890756, -0.14204816065830528, -0.11708304452310715, 0.3505766177217343, 0.11714520342606452, 0.09950711493979075, 0.11708886528088312, 0.29149330082249697, 0.05688605929941072, 0.10218281195765096, 0.15448515214292066, 0.16039166060592314, 0.20197572194738314, 0.06771870305029941, -0.1815673003172768, 0.011099693476821163, 0.05911791576238881] |
708.4408 | Moments and distribution of the local times of a transient random walk
on $\Z^d$ | Consider an arbitrary transient random walk on $\Z^d$ with $d\in\N$. Pick
$\alpha\in[0,\infty)$ and let $L_n(\alpha)$ be the spatial sum of the
$\alpha$-th power of the $n$-step local times of the walk. Hence, $L_n(0)$ is
the range, $L_n(1)=n+1$, and for integers $\alpha$, $L_n(\alpha)$ is the number
of the $\alpha$-fold self-intersections of the walk. We prove a strong law of
large numbers for $L_n(\alpha)$ as $n\to\infty$. Furthermore, we identify the
asymptotic law of the local time in a random site uniformly distributed over
the range. These results complement and contrast analogous results for
recurrent walks in two dimensions recently derived by \v{C}ern\'y \cite{Ce07}.
Although these assertions are certainly known to experts, we could find no
proof in the literature in this generality.
| math.PR | consider an arbitrary transient random walk on zd with dinn pick alphain0infty and let l_nalpha be the spatial sum of the alphath power of the nstep local times of the walk hence l_n0 is the range l_n1n1 and for integers alpha l_nalpha is the number of the alphafold selfintersections of the walk we prove a strong law of large numbers for l_nalpha as ntoinfty furthermore we identify the asymptotic law of the local time in a random site uniformly distributed over the range these results complement and contrast analogous results for recurrent walks in two dimensions recently derived by vcerny citece07 although these assertions are certainly known to experts we could find no proof in the literature in this generality | [['consider', 'an', 'arbitrary', 'transient', 'random', 'walk', 'on', 'zd', 'with', 'dinn', 'pick', 'alphain0infty', 'and', 'let', 'l_nalpha', 'be', 'the', 'spatial', 'sum', 'of', 'the', 'alphath', 'power', 'of', 'the', 'nstep', 'local', 'times', 'of', 'the', 'walk', 'hence', 'l_n0', 'is', 'the', 'range', 'l_n1n1', 'and', 'for', 'integers', 'alpha', 'l_nalpha', 'is', 'the', 'number', 'of', 'the', 'alphafold', 'selfintersections', 'of', 'the', 'walk', 'we', 'prove', 'a', 'strong', 'law', 'of', 'large', 'numbers', 'for', 'l_nalpha', 'as', 'ntoinfty', 'furthermore', 'we', 'identify', 'the', 'asymptotic', 'law', 'of', 'the', 'local', 'time', 'in', 'a', 'random', 'site', 'uniformly', 'distributed', 'over', 'the', 'range', 'these', 'results', 'complement', 'and', 'contrast', 'analogous', 'results', 'for', 'recurrent', 'walks', 'in', 'two', 'dimensions', 'recently', 'derived', 'by', 'vcerny', 'citece07', 'although', 'these', 'assertions', 'are', 'certainly', 'known', 'to', 'experts', 'we', 'could', 'find', 'no', 'proof', 'in', 'the', 'literature', 'in', 'this', 'generality']] | [-0.13268401296327598, 0.15039965356732737, -0.054570606235286284, 0.03240336879690435, -0.01654810227397508, -0.13136147541507823, 0.06743442143538389, 0.3660456058729825, -0.25797808684954615, -0.2458855532017408, 0.11222695612252273, -0.27014197481410773, -0.11929240815164842, 0.18840476182482108, -0.07384809524880658, 0.037892568228738224, -0.010372991724830955, 0.08408247418541076, 0.012446907421188622, -0.28838646025316594, 0.2670235177752931, -0.01976673523213008, 0.22305347226913377, 0.031667025189782524, 0.0800907324755199, 0.026771391375624606, -0.049117574267538974, 0.023293594627014906, -0.1484444981906563, 0.06416677866243468, 0.20189001471815823, 0.07485430598648361, 0.28932291497315826, -0.37964933705195014, -0.18543317488691738, 0.19138387294891612, 0.16813496206405348, 0.05384191134061407, -0.0025099975825688832, -0.27342730608030125, 0.1408240760030257, -0.1279683297194926, -0.16206684903691299, -0.03866721186305171, 0.0765310723728707, 0.10418742368045937, -0.31399825394378394, 0.0534168012632892, 0.1178907282602299, 0.055675843003976704, -0.007797708877378368, -0.1330145413441391, 0.03951778512544416, 0.13165306425573112, 0.04318412549890064, 0.015299235029017618, 0.07101733616055471, -0.07908773654068274, -0.15404137397377654, 0.3452808011063788, -0.052328444334903156, -0.17786984527403296, 0.16316972860608828, -0.2085681057149737, -0.17489254535256146, 0.07615770888514817, 0.13130610889016553, 0.12929703554016606, -0.10482158719016046, 0.130014080958188, -0.11027823641478758, 0.12954617294498944, 0.07727347215204018, 0.040431587446023355, 0.15024730800410155, 0.08600935371239381, 0.10231401090076643, 0.14570662094950515, -0.05005659178453337, -0.11416017673588519, -0.304146830520416, -0.16434204036466263, -0.24146636700707264, 0.1246165334375511, -0.1822926257191284, -0.17616364621187977, 0.35631866068659546, 0.13012951262825137, 0.2160547066736838, 0.18717362141589924, 0.21526440047931955, 0.1444022067138074, 0.011103071252301592, 0.08869480889226342, 0.14795530882085964, 0.11963821553568967, 0.07232174065249072, -0.13464171856898685, 0.06739861887060748, 0.10407485053392834] |
708.4409 | Characterizations of finite and infinite episturmian words via
lexicographic orderings | In this paper, we characterize by lexicographic order all finite Sturmian and
episturmian words, i.e., all (finite) factors of such infinite words.
Consequently, we obtain a characterization of infinite episturmian words in a
"wide sense" (episturmian and episkew infinite words). That is, we characterize
the set of all infinite words whose factors are (finite) episturmian.
Similarly, we characterize by lexicographic order all balanced infinite words
over a 2-letter alphabet; in other words, all Sturmian and skew infinite words,
the factors of which are (finite) Sturmian.
| math.CO cs.DM | in this paper we characterize by lexicographic order all finite sturmian and episturmian words ie all finite factors of such infinite words consequently we obtain a characterization of infinite episturmian words in a wide sense episturmian and episkew infinite words that is we characterize the set of all infinite words whose factors are finite episturmian similarly we characterize by lexicographic order all balanced infinite words over a 2letter alphabet in other words all sturmian and skew infinite words the factors of which are finite sturmian | [['in', 'this', 'paper', 'we', 'characterize', 'by', 'lexicographic', 'order', 'all', 'finite', 'sturmian', 'and', 'episturmian', 'words', 'ie', 'all', 'finite', 'factors', 'of', 'such', 'infinite', 'words', 'consequently', 'we', 'obtain', 'a', 'characterization', 'of', 'infinite', 'episturmian', 'words', 'in', 'a', 'wide', 'sense', 'episturmian', 'and', 'episkew', 'infinite', 'words', 'that', 'is', 'we', 'characterize', 'the', 'set', 'of', 'all', 'infinite', 'words', 'whose', 'factors', 'are', 'finite', 'episturmian', 'similarly', 'we', 'characterize', 'by', 'lexicographic', 'order', 'all', 'balanced', 'infinite', 'words', 'over', 'a', '2letter', 'alphabet', 'in', 'other', 'words', 'all', 'sturmian', 'and', 'skew', 'infinite', 'words', 'the', 'factors', 'of', 'which', 'are', 'finite', 'sturmian']] | [-0.14163532228918657, 0.2807083480791854, -0.00860492390624824, 0.15146673833286123, -0.14420178286465152, -0.09059125904016019, 0.12171480635879561, 0.39080081609565587, -0.37436554536578204, -0.15433386715483807, 0.08305852886059299, -0.3726631902169347, -0.10803875284979031, 0.1605112004104913, -0.08223398107830213, 0.04594247258223948, 0.04100213691570042, 0.17831785970234446, -0.09517146523631666, -0.34059463405892965, 0.3528761348598415, -0.12216131832628023, 0.19127914366046234, -0.02960555794249688, 0.1630397139910894, -0.004591373791862722, -0.09641258834883393, 0.05995787180671912, -0.16889813150200575, 0.09110556353282716, 0.40375517836461466, 0.12854743028236998, 0.25817375185544644, -0.29840047412463244, -0.20072936855389603, 0.24956486156831184, 0.17169940424251504, 0.09812638093024448, 0.04759879501458878, -0.18998248464915723, 0.1742351764336317, -0.30404059352752355, -0.026585340627380424, -0.05279643017344088, 0.09913172759115696, 0.14262762641356813, -0.20930190448693575, -0.048294265959633605, 0.22143425967633015, 0.10705603981789734, -0.053148078305336334, -0.1043779480248867, 0.09867629065411165, 0.1650310766888738, -0.02930131860886745, -0.03432887627526985, -0.017114910929064666, -0.044261504020098416, -0.19795107512341237, 0.41920393851718735, -0.09918639691646344, -0.27339702194357024, 0.13876153076333658, -0.22495874780274572, -0.10319207372543003, 0.10590196376489032, 0.10244864140986465, 0.10364280748624533, -0.09562612037795286, 0.1624884514305796, -0.1991774284702149, 0.18222956434779225, 0.25644799165560733, 0.13295640692757887, 0.10751216193395001, 0.061188078019768, 0.05121050566057896, 0.21308235725501573, 0.10915531152083228, 0.011662244769034996, -0.2890542530388172, -0.14567133970558643, -0.08337983477810797, 0.026849450044600025, -0.17223064629641677, -0.3410142626657727, 0.39114170379581903, 0.1256979344068982, 0.1529161723197571, 0.1562648265625328, 0.17959676381932305, 0.04730200796222475, 0.07951249830823924, 0.08487711994842227, -0.049394466382052214, 0.1064628062470417, -0.11652525694253632, -0.15042024776006915, 0.11180870239123968, 0.2167985032623013] |
708.441 | 2-soft-gluon exchange and factorization breaking | A previous counterexample to disprove k_T-factorization for H_1+H_2 -->
H_3+H_4+X is extended calculationally to one higher order in gluon exchange.
The result is that, by explicit calculation, standard k_T-factorization fails
for the unpolarized cross-section for the production of hadrons of high
transverse momentum in hadron-hadron collisions.
| hep-ph | a previous counterexample to disprove k_tfactorization for h_1h_2 h_3h_4x is extended calculationally to one higher order in gluon exchange the result is that by explicit calculation standard k_tfactorization fails for the unpolarized crosssection for the production of hadrons of high transverse momentum in hadronhadron collisions | [['a', 'previous', 'counterexample', 'to', 'disprove', 'k_tfactorization', 'for', 'h_1h_2', 'h_3h_4x', 'is', 'extended', 'calculationally', 'to', 'one', 'higher', 'order', 'in', 'gluon', 'exchange', 'the', 'result', 'is', 'that', 'by', 'explicit', 'calculation', 'standard', 'k_tfactorization', 'fails', 'for', 'the', 'unpolarized', 'crosssection', 'for', 'the', 'production', 'of', 'hadrons', 'of', 'high', 'transverse', 'momentum', 'in', 'hadronhadron', 'collisions']] | [-0.05040373367575574, 0.2011558982035653, -0.1353912538933483, 0.2249432331617837, -0.055769806013400244, -0.06500749864657833, -0.049765591784803706, 0.34793829020451417, -0.13700685427862813, -0.1841139990243722, -0.09252597203753381, -0.3233550126685507, 0.09787708554755557, 0.13526535300876608, 0.0346029592381621, 0.09636177190325478, 0.09350784479598091, -0.014235625625588, 0.007931502879893576, -0.26852364503693854, 0.3349015961020169, 0.06309825512157245, 0.20911761187016964, 0.2383741936646402, 0.04176008978604593, 0.15838829600463875, -0.01621734767236789, -0.08093319672413847, -0.09562336045548198, 0.1019332475109629, 0.31537515263665805, -0.007552201034162532, 0.11434204533526843, -0.3460108003663746, -0.13036788553422826, 0.0977153640494428, 0.1763325068168342, 0.14315890497528017, -0.013388362332162533, -0.18890361667780037, 0.12766817370852965, -0.2929190137127245, -0.20722562120169064, -0.12003163053569468, 0.028331482465463607, -0.05734060723757879, -0.3448588508075442, 0.12136672242459925, 0.057377304204485634, 0.0012648084507831795, 0.02956649352563545, -0.16217899664347482, -0.06418756677091798, -0.021899944986216724, 0.09958276805594903, 0.16128068875563753, 0.09993708089248023, -0.17812796201906167, -0.2538951832631772, 0.37748989945446904, -0.045775933543071995, -0.18679563349790193, 0.1519824234154922, -0.22935318787031891, -0.15570470775392922, 0.20854253330352632, 0.19867001981368626, 0.12082503137009387, -0.19370804947208276, 0.10606756052848967, -0.042636457957666025, 0.11801948363956233, 0.14265462567775763, 0.005446998074396767, 0.07648748096967624, 0.1454770409353924, -0.030481968561864713, 0.09731373152780262, -0.014648330186239698, -0.12518439231313427, -0.4219496865672144, -0.1782464106244416, -0.15799932901493527, 0.05334313112226399, -0.09422648267354816, -0.059589028104462406, 0.3240853777070614, 0.11744671286380087, 0.2519135259525766, 0.03499690091914751, 0.3813773079838773, 0.13953793038804593, 0.06242836448787288, 0.061441910368475045, 0.2816817646592178, 0.18905127730580384, 0.13563506917985665, -0.18925326370464807, 0.06378757455174557, 0.1317265386566181] |
708.4411 | Pauli Paramagnetic Effects on Vortices in Superconducting TmNi2B2C | The magnetic field distribution around the vortices in TmNi2B2C in the
paramagnetic phase was studied experimentally as well as theoretically. The
vortex form factor, measured by small-angle neutron scattering, is found to be
field independent up to 0.6 Hc2 followed by a sharp decrease at higher fields.
The data are fitted well by solutions to the Eilenberger equations when
paramagnetic effects due to the exchange interaction with the localized 4f Tm
moments are included. The induced paramagnetic moments around the vortex cores
act to maintain the field contrast probed by the form factor.
| cond-mat.supr-con | the magnetic field distribution around the vortices in tmni2b2c in the paramagnetic phase was studied experimentally as well as theoretically the vortex form factor measured by smallangle neutron scattering is found to be field independent up to 06 hc2 followed by a sharp decrease at higher fields the data are fitted well by solutions to the eilenberger equations when paramagnetic effects due to the exchange interaction with the localized 4f tm moments are included the induced paramagnetic moments around the vortex cores act to maintain the field contrast probed by the form factor | [['the', 'magnetic', 'field', 'distribution', 'around', 'the', 'vortices', 'in', 'tmni2b2c', 'in', 'the', 'paramagnetic', 'phase', 'was', 'studied', 'experimentally', 'as', 'well', 'as', 'theoretically', 'the', 'vortex', 'form', 'factor', 'measured', 'by', 'smallangle', 'neutron', 'scattering', 'is', 'found', 'to', 'be', 'field', 'independent', 'up', 'to', '06', 'hc2', 'followed', 'by', 'a', 'sharp', 'decrease', 'at', 'higher', 'fields', 'the', 'data', 'are', 'fitted', 'well', 'by', 'solutions', 'to', 'the', 'eilenberger', 'equations', 'when', 'paramagnetic', 'effects', 'due', 'to', 'the', 'exchange', 'interaction', 'with', 'the', 'localized', '4f', 'tm', 'moments', 'are', 'included', 'the', 'induced', 'paramagnetic', 'moments', 'around', 'the', 'vortex', 'cores', 'act', 'to', 'maintain', 'the', 'field', 'contrast', 'probed', 'by', 'the', 'form', 'factor']] | [-0.11902124584171801, 0.23562194340892376, 0.008750176933463864, 0.08060819006359746, -0.03194022497102138, -0.06222519554418101, 0.034271611157374114, 0.349694677458335, -0.2670037705871847, -0.3393229049109724, 0.03154305495091424, -0.3239191890323675, -0.04541035455160884, 0.14663817006493768, 0.08856186443959833, 0.004944703171169886, -0.07147881837802068, 0.03340893005451528, -0.06843387421661166, -0.2254996452022404, 0.30340758498798137, 0.058178544440056365, 0.31317901391015257, 0.055843576228105894, 0.015227647033840499, -0.010999334455337576, 0.09087737099648083, 0.06877734366884475, -0.1296800022484154, -0.0023279924306177325, 0.2494533474172806, -0.0646648836036254, 0.16009967578875442, -0.45751485799349123, -0.16577265499740518, 0.00891027895994084, 0.17779302941535108, 0.10816935872438774, -0.03502377887727112, -0.3413212649444098, 0.039773643247142276, -0.10801524255344624, -0.19298678401216704, -0.13440312422131018, -0.022314905045023287, 0.03621571656236405, -0.27116415216036704, 0.13500159278872512, 0.047071070834663845, 0.08272668046836731, -0.09104948785776894, -0.12268840707885477, -0.0449707805609671, 0.039998755789354384, 0.10056307520817524, 0.14168280262064428, 0.16993770171557704, -0.1258997632934141, -0.07306746678096393, 0.3500438128367707, -0.09431498877764229, -0.10131451597196921, 0.09146466125203397, -0.22769633407944873, -0.01066470614844753, 0.23393779950997523, 0.12784203960590304, 0.10631447863234307, -0.14467019973819079, 0.0491491590816808, 0.025069347427537043, 0.15163425442271977, 0.08949070815397527, -0.001586782045021493, 0.2468161050453081, 0.11875528943980293, -0.011090012447487923, 0.1456187190713301, -0.14868206960419494, -0.09725984352921206, -0.21543227224260247, -0.08921522365742794, -0.21349684013834885, 0.02153482308901686, -0.05863612793105584, -0.1400968306147123, 0.3137626755552026, 0.10018080781384181, 0.2061765414370995, -0.077157983836788, 0.25184097526074256, 0.180229709433612, 0.13851444180353836, 0.08910886676461306, 0.3171895904246197, 0.24041338172811333, 0.1346767532078409, -0.2698322671155135, 0.07815303964920903, 0.0001176319595786833] |
708.4412 | Increasing the Efficiency of Energy Scavengers | In this paper, a methodology for designing efficient energy scavengers is
proposed. The scavenger consists of a cantilever beam on which piezoelectric
films and a mass are mounted. The mass at the tip of the beam is known as the
proof mass and the device is called either an energy scavenger or a beam-mass
system. The proof mass is a permanent magnet, where in its vicinity attracting
permanent magnets are placed. It is shown that when the magnets have
appropriate strengths and are placed appropriately, the vibration of the
beam-mass system can be amplified, thereby the scavenged energy is increased.
Examples are given throughout the paper.
| nlin.CD | in this paper a methodology for designing efficient energy scavengers is proposed the scavenger consists of a cantilever beam on which piezoelectric films and a mass are mounted the mass at the tip of the beam is known as the proof mass and the device is called either an energy scavenger or a beammass system the proof mass is a permanent magnet where in its vicinity attracting permanent magnets are placed it is shown that when the magnets have appropriate strengths and are placed appropriately the vibration of the beammass system can be amplified thereby the scavenged energy is increased examples are given throughout the paper | [['in', 'this', 'paper', 'a', 'methodology', 'for', 'designing', 'efficient', 'energy', 'scavengers', 'is', 'proposed', 'the', 'scavenger', 'consists', 'of', 'a', 'cantilever', 'beam', 'on', 'which', 'piezoelectric', 'films', 'and', 'a', 'mass', 'are', 'mounted', 'the', 'mass', 'at', 'the', 'tip', 'of', 'the', 'beam', 'is', 'known', 'as', 'the', 'proof', 'mass', 'and', 'the', 'device', 'is', 'called', 'either', 'an', 'energy', 'scavenger', 'or', 'a', 'beammass', 'system', 'the', 'proof', 'mass', 'is', 'a', 'permanent', 'magnet', 'where', 'in', 'its', 'vicinity', 'attracting', 'permanent', 'magnets', 'are', 'placed', 'it', 'is', 'shown', 'that', 'when', 'the', 'magnets', 'have', 'appropriate', 'strengths', 'and', 'are', 'placed', 'appropriately', 'the', 'vibration', 'of', 'the', 'beammass', 'system', 'can', 'be', 'amplified', 'thereby', 'the', 'scavenged', 'energy', 'is', 'increased', 'examples', 'are', 'given', 'throughout', 'the', 'paper']] | [-0.17046428887274573, 0.16840961575192367, -0.029537777205542574, -0.01827750290757186, -0.032872094803507314, -0.1624389632323862, -0.011340475841073916, 0.3811316966026459, -0.21006397586667314, -0.3108439790084958, 0.1316522438988476, -0.27978920746805536, -0.0817314720699423, 0.24208270933892015, -0.05348817042057526, 0.007863650633843686, 0.04430617273451304, 0.0586492777494538, 0.00214806112311429, -0.1555060679850801, 0.28434526094428775, 0.1033023649844218, 0.2916663129625069, 0.08368509085761067, 0.12008703374391738, -0.03520143739571619, 0.10922835320937184, -0.002029281261131027, -0.08485106439671516, 0.09869829316641081, 0.1989410574073499, 0.01459432864135553, 0.26573265052207234, -0.4183145878871657, -0.13047012636648878, 0.08709147358247307, 0.14054585587373883, 0.11617667306069601, -0.08350149915610738, -0.2670478602071767, 0.06751767393939619, -0.13616032008397974, -0.16147912340677995, -0.030753544127603748, -0.023737111221120325, 0.07475522478585536, -0.2832477884301213, -0.01466984782403089, 0.07013695127383437, 0.044777535973995364, -0.057016631128169806, -0.10788649988562782, -0.055194027497837285, 0.06018046400524052, 0.041807413294489656, 0.06907371103869013, 0.22277521586291632, -0.0938454892086568, -0.018591133675555576, 0.36553968914415474, 0.02919782985897981, -0.18091754279679284, 0.1434126785244652, -0.08826665135697936, -0.04549578651082965, 0.15979043260779022, 0.16856407691759742, 0.0940707942585127, -0.19112549914458418, 0.07233326486586418, -0.017658895918361422, 0.17678342061995897, 0.07841464252439591, 0.000302850620772795, 0.2555342627478377, 0.23426108618205377, 0.07278169323207002, 0.16344056277478747, -0.11282160600322245, -0.014211769051023952, -0.26396038973668834, -0.17184385095881122, -0.24352811770689375, 0.018424546978664847, -0.020661903896291064, -0.1441409273195533, 0.38158560180509427, 0.08467323242967843, 0.1387065826686767, -0.012230452149008173, 0.3352768046271829, 0.13181643221276934, 0.1009880574507955, 0.030209737364202738, 0.29124973400744153, 0.11124729119979267, 0.1125108715078688, -0.21026529883087244, 0.07704514062102392, 0.048590864632542266] |
708.4413 | IC 4406: a radio-infrared comparison | IC 4406 is a large (about 100'' x 30'') southern bipolar planetary nebula,
composed by two elongated lobes, extending from a bright central region, where
there is evidence for the presence of a large torus of gas and dust. In this
poster we show new observations of this source performed with IRAC (Spitzer
Space Telescope) and the Australia Telescope Compact Array. Although the
possibility for faint extended emission to be missing in the radio maps cannot
be ruled out, flux from the ionized gas appears to be concentrated in the
bright central region. Comparing ATCA to IRAC images, it seems that, like in
other planetary nebulae, ionized and neutral components spatially co-exist in
IC 4406.
| astro-ph | ic 4406 is a large about 100 x 30 southern bipolar planetary nebula composed by two elongated lobes extending from a bright central region where there is evidence for the presence of a large torus of gas and dust in this poster we show new observations of this source performed with irac spitzer space telescope and the australia telescope compact array although the possibility for faint extended emission to be missing in the radio maps cannot be ruled out flux from the ionized gas appears to be concentrated in the bright central region comparing atca to irac images it seems that like in other planetary nebulae ionized and neutral components spatially coexist in ic 4406 | [['ic', '4406', 'is', 'a', 'large', 'about', '100', 'x', '30', 'southern', 'bipolar', 'planetary', 'nebula', 'composed', 'by', 'two', 'elongated', 'lobes', 'extending', 'from', 'a', 'bright', 'central', 'region', 'where', 'there', 'is', 'evidence', 'for', 'the', 'presence', 'of', 'a', 'large', 'torus', 'of', 'gas', 'and', 'dust', 'in', 'this', 'poster', 'we', 'show', 'new', 'observations', 'of', 'this', 'source', 'performed', 'with', 'irac', 'spitzer', 'space', 'telescope', 'and', 'the', 'australia', 'telescope', 'compact', 'array', 'although', 'the', 'possibility', 'for', 'faint', 'extended', 'emission', 'to', 'be', 'missing', 'in', 'the', 'radio', 'maps', 'can', 'not', 'be', 'ruled', 'out', 'flux', 'from', 'the', 'ionized', 'gas', 'appears', 'to', 'be', 'concentrated', 'in', 'the', 'bright', 'central', 'region', 'comparing', 'atca', 'to', 'irac', 'images', 'it', 'seems', 'that', 'like', 'in', 'other', 'planetary', 'nebulae', 'ionized', 'and', 'neutral', 'components', 'spatially', 'coexist', 'in', 'ic', '4406']] | [-0.0798922192098589, 0.10090221253480634, -0.029611335866602844, 0.08030385817882829, -0.10289502050125457, -0.11371073266089862, 0.017862378310508513, 0.4483288613886669, -0.16091720274938592, -0.30231924531660204, 0.106551341795772, -0.2795243912480836, -0.035527729521633994, 0.19616196202595942, -0.028712540716916354, -0.12466398129592939, 0.07334666860546789, -0.16860113315412711, -0.0005669508968351473, -0.22041487633872875, 0.2903220901518643, 0.09421570745150254, 0.1478111437473703, -0.0006908010008969698, 0.07026482183197193, -0.14953566833543752, -0.09710074329933409, -0.007567903994640801, -0.045948033832560055, 0.06585569174735453, 0.28652935744070546, 0.0720101595165786, 0.1620662483579383, -0.37019890445637804, -0.207435387997599, 0.09272566303642917, 0.22620542288019224, -0.026583921662050074, -0.025910581323591156, -0.3516216151394223, 0.05826498919612214, -0.18901416585491648, -0.24129590608484658, 0.1249657248046223, 0.0548946044682766, 0.0022864277747556053, -0.20469414858259902, 0.1019996741409253, -0.023361644233444105, 0.08636660667052011, -0.12983056775631446, -0.09406598908666136, -0.04393912004186483, 0.07018922936925985, -0.04536064513276556, 0.10030473941326912, 0.16033339401273505, -0.13769160087043741, 0.005021589145802989, 0.3485230623808657, -0.06307058874517679, -0.017884989662983068, 0.2504356346225591, -0.26878621700974503, -0.22282297987940497, 0.2562958372331321, 0.13678495052415107, 0.09532889063421894, -0.15805799870526996, 0.026028435934708324, -0.11780857662710457, 0.22811400021651182, 0.06220896058747995, 0.06324085274085017, 0.3674843003491646, 0.10789068861149959, 0.061847306496364864, 0.19457680780334188, -0.3171286248152369, -0.048057997836089085, -0.2507299014647162, -0.11565970540235365, -0.13384824992430494, 0.09677057602688176, -0.08030876477516422, -0.09909073809505006, 0.29104162411812434, 0.08095361754410611, 0.18127358589995782, -0.051367817869347694, 0.3192513525397677, 0.007256629441238554, 0.13066484227451367, 0.16284138881922539, 0.28929795260573254, 0.1425405513246319, 0.11248245218303055, -0.1458167673835274, 0.02655128834785187, -0.05197678856824621] |
708.4414 | Large Gravitational Waves and Lyth Bound in Multi Brane Inflation | It is shown that multi M5-brane inflation in heterotic M-theory gives rise to
a detectable gravitational wave power spectrum with tensor fraction $r$
typically larger than the projected experimental sensitivity, $r_{exp} = 0.01$.
A measurable gravitational wave power spectrum entails a large inflationary
energy scale and a super-Planckian inflaton variation. They present serious
problems for particle theory model building resp. a reliable effective field
theory description. These problems are eased or even absent in multi-brane
inflation models and multi M5-brane inflation, in particular.
| hep-th | it is shown that multi m5brane inflation in heterotic mtheory gives rise to a detectable gravitational wave power spectrum with tensor fraction r typically larger than the projected experimental sensitivity r_exp 001 a measurable gravitational wave power spectrum entails a large inflationary energy scale and a superplanckian inflaton variation they present serious problems for particle theory model building resp a reliable effective field theory description these problems are eased or even absent in multibrane inflation models and multi m5brane inflation in particular | [['it', 'is', 'shown', 'that', 'multi', 'm5brane', 'inflation', 'in', 'heterotic', 'mtheory', 'gives', 'rise', 'to', 'a', 'detectable', 'gravitational', 'wave', 'power', 'spectrum', 'with', 'tensor', 'fraction', 'r', 'typically', 'larger', 'than', 'the', 'projected', 'experimental', 'sensitivity', 'r_exp', '001', 'a', 'measurable', 'gravitational', 'wave', 'power', 'spectrum', 'entails', 'a', 'large', 'inflationary', 'energy', 'scale', 'and', 'a', 'superplanckian', 'inflaton', 'variation', 'they', 'present', 'serious', 'problems', 'for', 'particle', 'theory', 'model', 'building', 'resp', 'a', 'reliable', 'effective', 'field', 'theory', 'description', 'these', 'problems', 'are', 'eased', 'or', 'even', 'absent', 'in', 'multibrane', 'inflation', 'models', 'and', 'multi', 'm5brane', 'inflation', 'in', 'particular']] | [-0.19124799745335577, 0.19241815004037854, -0.06940686779188705, 0.17261391811584478, -0.1260114439682644, -0.22171263988589707, -0.07252148701521902, 0.29175934193218933, -0.19499954167914427, -0.30678152574663176, 0.08117511525410975, -0.2369989348506486, -0.14606716883092843, 0.18644766188025427, -0.04801084194332361, 0.04699751906050944, 0.06654706774394453, 0.024730485277595343, -0.03820409485064217, -0.21198846323898546, 0.242226433928734, 0.11391454319941041, 0.24079302788056708, 0.042757004522431044, 0.09229030651270331, -0.06584993308628506, 0.01911723192344293, 0.02124839286423392, -0.14402397495687633, 0.12810427544891467, 0.24472971791661105, 0.10628149589454686, 0.20522809777384404, -0.4410083669318277, -0.2779336672184276, 0.17724529397099015, 0.15394783075783908, 0.16173510399451593, -0.035959875446824746, -0.21319414429182623, 0.04576402182552825, -0.20103347864300933, -0.10869119200499061, -0.05310987834071303, 0.026773957675035445, -0.10426825788561944, -0.2935150994597302, 0.09932432240730348, -0.051566365772835264, -0.0004938052461287122, -0.07272587246319026, -0.06586861937525279, -0.042796981549695315, -0.0433962491174217, 0.12934022363028086, 0.11183426040512176, 0.18297803186363093, -0.18442078883311264, -0.07081198384180482, 0.4002453705732837, -0.12937650264238645, -0.15439676658974755, 0.09306538778782626, -0.12404876810722743, -0.15983865055382068, 0.16959360543132565, 0.13017351877082278, 0.12005812197601722, -0.07528141891744769, 0.1848062479302264, 0.05401810930134947, 0.19085828939245808, 0.11508180407439302, 0.0750079335541361, 0.37183044310429214, 0.14299769270417775, 0.08919021777555715, 0.05689770975552591, -0.025987164220876165, -0.09627607509056911, -0.3846004866624113, -0.02263801660457695, -0.13045010726645956, 0.12999193787820534, -0.15575987483442325, -0.2154937609293596, 0.3854715200737521, 0.11775738518846071, 0.1582975443359177, 0.09805751149830075, 0.2556022764356048, 0.11075696058968013, 0.06952918186369869, 0.038893700353111384, 0.2942250708669976, 0.11284243570134779, 0.15986205261332892, -0.16570767463345862, -0.11705427522552603, 0.04587540066122641] |
709.0001 | Highest weight state description of the isotropic spin-1 chain | We introduce an overcomplete highest weight state basis as a calculational
tool for the description of the isotropic spin-1 chain with bilinear exchange
coupling J1 and biquadratic coupling J2. The ground state can be expressed
exactly at the three special points in the phase diagram where the Hamiltonian
corresponds to a sum of nearest neighbor total spin projection operators
(J1=0>J2, J1=-J2<0, and J1=-J2/3<0). In particular, at the phase transition
point J1=-J2<0 it is possible to exactly compute the ground states, excited
states, expectation values, and correlation functions by using the new total
spin basis.
| cond-mat.str-el | we introduce an overcomplete highest weight state basis as a calculational tool for the description of the isotropic spin1 chain with bilinear exchange coupling j1 and biquadratic coupling j2 the ground state can be expressed exactly at the three special points in the phase diagram where the hamiltonian corresponds to a sum of nearest neighbor total spin projection operators j10j2 j1j20 and j1j230 in particular at the phase transition point j1j20 it is possible to exactly compute the ground states excited states expectation values and correlation functions by using the new total spin basis | [['we', 'introduce', 'an', 'overcomplete', 'highest', 'weight', 'state', 'basis', 'as', 'a', 'calculational', 'tool', 'for', 'the', 'description', 'of', 'the', 'isotropic', 'spin1', 'chain', 'with', 'bilinear', 'exchange', 'coupling', 'j1', 'and', 'biquadratic', 'coupling', 'j2', 'the', 'ground', 'state', 'can', 'be', 'expressed', 'exactly', 'at', 'the', 'three', 'special', 'points', 'in', 'the', 'phase', 'diagram', 'where', 'the', 'hamiltonian', 'corresponds', 'to', 'a', 'sum', 'of', 'nearest', 'neighbor', 'total', 'spin', 'projection', 'operators', 'j10j2', 'j1j20', 'and', 'j1j230', 'in', 'particular', 'at', 'the', 'phase', 'transition', 'point', 'j1j20', 'it', 'is', 'possible', 'to', 'exactly', 'compute', 'the', 'ground', 'states', 'excited', 'states', 'expectation', 'values', 'and', 'correlation', 'functions', 'by', 'using', 'the', 'new', 'total', 'spin', 'basis']] | [-0.15812374828585787, 0.19656452960375842, 0.002518196949613807, 0.06755618211109718, -0.03057223588542041, -0.1367186510267303, 0.07002535410751791, 0.3520205537181186, -0.2787735577148851, -0.23622567625210175, 0.05414208447125376, -0.32648004727873386, -0.07496405783635766, 0.07852650404421856, 0.14344459977608337, 0.013009074787038591, 0.032412195841417364, 0.09161488523544825, -0.13309939212795935, -0.18492146399955306, 0.322005083533915, 0.014700711451713805, 0.2525857639822947, 0.03566550132033982, 0.1084604835157971, 0.07138490409630796, 0.11963678724841094, -0.05557642505838252, -0.10573106945957989, 0.07038743885451644, 0.26674254204946285, 0.01834830392339348, 0.18025018318313296, -0.3606203398566045, -0.10221674116125898, 0.14499842995808096, 0.12547107394177304, 0.1400554363145088, 0.04994438891488877, -0.29455776728244254, -0.03244665290390992, -0.21568478313882067, -0.15783060265897328, -0.15421611453917727, 0.018781951719733035, -0.02387103583137302, -0.3060315439183994, 0.07652249858896855, 0.018074592762707693, 0.056034466363084706, -0.07736013185627677, -0.189732772409511, -0.08122790199400776, 0.12333316194986843, -0.010099814361993871, 0.11174047191857624, 0.045432655753203384, -0.12143490321772255, -0.1228068388344305, 0.3514319039860983, -0.1032769680757116, -0.21346733048203928, 0.13169763786414557, -0.13086111885414817, -0.10819914161592074, 0.12655338698254048, 0.0973475156351924, 0.10795419348363319, -0.13474317820509896, 0.09417919514753917, -0.019490542806401525, 0.1470874406554883, 0.004588735026671835, 0.05823812888854224, 0.21826432999754933, 0.07762451408906719, 0.0871485764687152, 0.19140621739232144, -0.08420795807614923, -0.18578617718215, -0.3006815549350627, -0.16119510267921927, -0.2688557150389027, 0.03600953743570363, -0.10280398020736554, -0.134093608342759, 0.42946822155752906, 0.08929388151782207, 0.20012440576987423, 0.00028255122774483067, 0.23173101530309118, 0.17040691660266652, 0.056581018674794745, 0.07524108285977728, 0.24628048711304512, 0.16794058882236562, 0.011554598499534895, -0.23047119789534126, 0.032938400110414594, 0.14548822888173163] |
709.0002 | Searching for Inflation in Simple String Theory Models: An Astrophysical
Perspective | Attempts to connect string theory with astrophysical observation are hampered
by a jargon barrier, where an intimidating profusion of orientifolds, Kahler
potentials, etc. dissuades cosmologists from attempting to work out the
astrophysical observables of specific string theory solutions from the recent
literature. We attempt to help bridge this gap by giving a pedagogical
exposition with detailed examples, aimed at astrophysicists and high energy
theorists alike, of how to compute predictions for familiar cosmological
parameters when starting with a 10-dimensional string theory action. This is
done by investigating inflation in string theory, since inflation is the
dominant paradigm for how early universe physics determines cosmological
parameters.
We analyze three explicit string models from the recent literature, each
containing an infinite number of "vacuum" solutions. Our numerical
investigation of some natural candidate inflatons, the so-called "moduli
fields", fails to find inflation. We also find in the simplest models that,
after suitable field redefinitions, vast numbers of these vacua differ only in
an overall constant multiplying the effective inflaton potential, a difference
which affects neither the potential's shape nor its ability to support
slow-roll inflation. This illustrates that even having an infinite number of
vacua does not guarantee having inflating ones. This may be an artifact of the
simplicity of the models that we study. Instead, more complicated string theory
models appear to be required, suggesting that explicitly identifying the
inflating subset of the string landscape will be challenging.
| astro-ph gr-qc hep-ph hep-th | attempts to connect string theory with astrophysical observation are hampered by a jargon barrier where an intimidating profusion of orientifolds kahler potentials etc dissuades cosmologists from attempting to work out the astrophysical observables of specific string theory solutions from the recent literature we attempt to help bridge this gap by giving a pedagogical exposition with detailed examples aimed at astrophysicists and high energy theorists alike of how to compute predictions for familiar cosmological parameters when starting with a 10dimensional string theory action this is done by investigating inflation in string theory since inflation is the dominant paradigm for how early universe physics determines cosmological parameters we analyze three explicit string models from the recent literature each containing an infinite number of vacuum solutions our numerical investigation of some natural candidate inflatons the socalled moduli fields fails to find inflation we also find in the simplest models that after suitable field redefinitions vast numbers of these vacua differ only in an overall constant multiplying the effective inflaton potential a difference which affects neither the potentials shape nor its ability to support slowroll inflation this illustrates that even having an infinite number of vacua does not guarantee having inflating ones this may be an artifact of the simplicity of the models that we study instead more complicated string theory models appear to be required suggesting that explicitly identifying the inflating subset of the string landscape will be challenging | [['attempts', 'to', 'connect', 'string', 'theory', 'with', 'astrophysical', 'observation', 'are', 'hampered', 'by', 'a', 'jargon', 'barrier', 'where', 'an', 'intimidating', 'profusion', 'of', 'orientifolds', 'kahler', 'potentials', 'etc', 'dissuades', 'cosmologists', 'from', 'attempting', 'to', 'work', 'out', 'the', 'astrophysical', 'observables', 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709.0003 | Probing Gravity with Spacetime Sirens | A gravitational observatory such as LISA will detect coalescing pairs of
massive black holes, accurately measure their luminosity distance and help
identify a host galaxy or an electromagnetic counterpart. If dark energy is a
manifestation of modified gravity on large scales, gravitational waves from
cosmologically-distant spacetime sirens are direct probes of this new physics.
For example, a gravitational Hubble diagram based on black hole pair luminosity
distances and host galaxy redshifts could reveal a large distance
extra-dimensional leakage of gravity. Various additional signatures may be
expected in a gravitational signal propagated over cosmological scales.
| astro-ph gr-qc hep-th | a gravitational observatory such as lisa will detect coalescing pairs of massive black holes accurately measure their luminosity distance and help identify a host galaxy or an electromagnetic counterpart if dark energy is a manifestation of modified gravity on large scales gravitational waves from cosmologicallydistant spacetime sirens are direct probes of this new physics for example a gravitational hubble diagram based on black hole pair luminosity distances and host galaxy redshifts could reveal a large distance extradimensional leakage of gravity various additional signatures may be expected in a gravitational signal propagated over cosmological scales | [['a', 'gravitational', 'observatory', 'such', 'as', 'lisa', 'will', 'detect', 'coalescing', 'pairs', 'of', 'massive', 'black', 'holes', 'accurately', 'measure', 'their', 'luminosity', 'distance', 'and', 'help', 'identify', 'a', 'host', 'galaxy', 'or', 'an', 'electromagnetic', 'counterpart', 'if', 'dark', 'energy', 'is', 'a', 'manifestation', 'of', 'modified', 'gravity', 'on', 'large', 'scales', 'gravitational', 'waves', 'from', 'cosmologicallydistant', 'spacetime', 'sirens', 'are', 'direct', 'probes', 'of', 'this', 'new', 'physics', 'for', 'example', 'a', 'gravitational', 'hubble', 'diagram', 'based', 'on', 'black', 'hole', 'pair', 'luminosity', 'distances', 'and', 'host', 'galaxy', 'redshifts', 'could', 'reveal', 'a', 'large', 'distance', 'extradimensional', 'leakage', 'of', 'gravity', 'various', 'additional', 'signatures', 'may', 'be', 'expected', 'in', 'a', 'gravitational', 'signal', 'propagated', 'over', 'cosmological', 'scales']] | [-0.18027463057753382, 0.13460806079912915, -0.10585512679090049, 0.23434175578679176, -0.18699683622764227, -0.09383288505388067, -0.03212321316823363, 0.3154876194894314, -0.18672759509942632, -0.35024432766627756, 0.049300742153563795, -0.3219036459724637, -0.0728701245500409, 0.24898675392738523, 0.048756681149825454, -0.01970846307998959, 0.04234716540792006, -0.016555148308125742, -0.08617862991671613, -0.18345750101612562, 0.3271092384845573, 0.14708787963745443, 0.1485924283736088, -0.037193430491049395, 0.09898794687135105, -0.05917128248566247, -0.08269032745305052, 0.046270358802235505, -0.14529325402876797, -0.0264241776894778, 0.22871126672451167, 0.18067532309895737, 0.21844721596162925, -0.37857111212500233, -0.2635612539114787, 0.12130586273888959, 0.1644040576177352, 0.16760741891785266, -0.1123241452188132, -0.36627593806924974, 0.010045018968509232, -0.23723283020700228, -0.1418117905986753, 0.06364219695666527, 0.05110185825701882, 0.005560322340201348, -0.18458853571854056, 0.12311792242875759, -0.08009389789398522, -0.06697791167832118, -0.056767465125650486, -0.011786912587728906, -0.046272237588245266, 0.04916464425177571, 0.05287871526138104, 0.10420330986380577, 0.23057577200233936, -0.11455176990390062, -0.10746381005787468, 0.4048737450403736, -0.09921340266876716, -0.0936636765774815, 0.24492505587330285, -0.20334420939213893, -0.11155609341655323, 0.10141594397359864, 0.250586882507784, 0.10582191388102923, -0.17619099975266356, 0.0738474102529816, 0.06288168192444805, 0.23028839873942605, 0.1028786377115621, 0.1691588447085567, 0.5077701995565378, 0.11777312001411586, 0.05147777518574545, 0.06032598069051598, -0.18186331544556913, 0.045567515662851485, -0.31480127390711865, -0.13269375454872212, -0.19821412766233404, 0.14269796117862804, -0.19121220970865058, -0.1535676193245231, 0.3027148999154885, 0.10858369813464146, 0.15149853484051184, 0.04557676428800171, 0.27072155522387703, 0.022839381670371254, 0.10248160885741062, 0.05470106023997861, 0.3830887924463667, 0.12151309650668755, 0.05330699206542897, -0.2117187884423208, -0.03143993247934478, 0.053233093824832045] |
709.0004 | Spectropolarimetry of SN 2006aj at 9.6 days | The observational technique of spectropolarimetry has been used to directly
measure the asymmetries of Supernovae (SNe), Gamma-Ray Bursts (GRBs) and X-Ray
Flashes (XRFs). We wish to determine if non-axial asymmetries are present in
SNe that are associated with GRBs and XRFs, given the particular alignment of
the jet axis and axis of symmetry with the line of sight in these cases. We
performed spectropolarimetry with the Very Large Telescope (VLT) FORS1
instrument of the Type Ic SN 2006aj, associated with the XRF 060218, at V-band
maximum at 9.6 rest frame days after the detection of the XRF. Due to
observations at only 3 retarder plate angles, the data were reduced assuming
that the instrumental signature correction for the $U$ Stokes parameter was
identical to the correction measured for $Q$. We find SN 2006aj to be highly
polarized at wavelengths corresponding to the absorption minima of certain
spectral lines, particularly strong for O I 7774\AA and Fe II, observed at
4200\AA with a polarization 3%. The value of the Interstellar Polarization is
not well constrained by these observations and, considering the low
polarization observed between 6000-6500\AA, the global asymmetry of the SN is
$\lesssim 15%$. O I and Fe II lines share a polarization angle that differs
from Ca II. SN 2006aj exhibits a higher degree of line polarization than other
SNe associated with GRBs and XRFs. The polarization associated with spectral
lines implies significant asymmetries of these elements with respect to each
other and to the line of sight. This is contrary to the standard picture of SNe
associated with GRBs/XRFs, where the axis of symmetry of the SN is aligned with
the GRB jet axis and the line of sight.
| astro-ph | the observational technique of spectropolarimetry has been used to directly measure the asymmetries of supernovae sne gammaray bursts grbs and xray flashes xrfs we wish to determine if nonaxial asymmetries are present in sne that are associated with grbs and xrfs given the particular alignment of the jet axis and axis of symmetry with the line of sight in these cases we performed spectropolarimetry with the very large telescope vlt fors1 instrument of the type ic sn 2006aj associated with the xrf 060218 at vband maximum at 96 rest frame days after the detection of the xrf due to observations at only 3 retarder plate angles the data were reduced assuming that the instrumental signature correction for the u stokes parameter was identical to the correction measured for q we find sn 2006aj to be highly polarized at wavelengths corresponding to the absorption minima of certain spectral lines particularly strong for o i 7774aa and fe ii observed at 4200aa with a polarization 3 the value of the interstellar polarization is not well constrained by these observations and considering the low polarization observed between 60006500aa the global asymmetry of the sn is lesssim 15 o i and fe ii lines share a polarization angle that differs from ca ii sn 2006aj exhibits a higher degree of line polarization than other sne associated with grbs and xrfs the polarization associated with spectral lines implies significant asymmetries of these elements with respect to each other and to the line of sight this is contrary to the standard picture of sne associated with grbsxrfs where the axis of symmetry of the sn is aligned with the grb jet axis and the line of sight | [['the', 'observational', 'technique', 'of', 'spectropolarimetry', 'has', 'been', 'used', 'to', 'directly', 'measure', 'the', 'asymmetries', 'of', 'supernovae', 'sne', 'gammaray', 'bursts', 'grbs', 'and', 'xray', 'flashes', 'xrfs', 'we', 'wish', 'to', 'determine', 'if', 'nonaxial', 'asymmetries', 'are', 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709.0005 | A resonant-term-based model including a nascent disk, precession, and
oblateness: application to GJ 876 | Investigations of two resonant planets orbiting a star or two resonant
satellites orbiting a planet often rely on a few resonant and secular terms in
order to obtain a representative quantitative description of the system's
dynamical evolution. We present a semianalytic model which traces the orbital
evolution of any two resonant bodies in a first- through fourth-order
eccentricity or inclination-based resonance dominated by the resonant and
secular arguments of the user's choosing. By considering the variation of
libration width with different orbital parameters, we identify regions of phase
space which give rise to different resonant ''depths,'' and propose methods to
model libration profiles. We apply the model to the GJ 876 extrasolar planetary
system, quantify the relative importance of the relevant resonant and secular
contributions, and thereby assess the goodness of the common approximation of
representing the system by just the presumably dominant terms. We highlight the
danger in using ''order'' as the metric for accuracy in the orbital solution by
revealing the unnatural libration centers produced by the second-order, but not
first-order, solution, and by demonstrating that the true orbital solution lies
somewhere ''in-between'' the third- and fourth-order solutions. We also present
formulas used to incorporate perturbations from central-body oblateness and
precession, and a protoplanetary or protosatellite thin disk with gaps, into a
resonant system. We quantify these contributions to the GJ 876 system, and
thereby highlight the conditions which must exist for multi-planet exosystems
to be significantly influenced by such factors. We find that massive enough
disks may convert resonant libration into circulation; such disk-induced
signatures may provide constraints for future studies of exoplanet systems.
| astro-ph | investigations of two resonant planets orbiting a star or two resonant satellites orbiting a planet often rely on a few resonant and secular terms in order to obtain a representative quantitative description of the systems dynamical evolution we present a semianalytic model which traces the orbital evolution of any two resonant bodies in a first through fourthorder eccentricity or inclinationbased resonance dominated by the resonant and secular arguments of the users choosing by considering the variation of libration width with different orbital parameters we identify regions of phase space which give rise to different resonant depths and propose methods to model libration profiles we apply the model to the gj 876 extrasolar planetary system quantify the relative importance of the relevant resonant and secular contributions and thereby assess the goodness of the common approximation of representing the system by just the presumably dominant terms we highlight the danger in using order as the metric for accuracy in the orbital solution by revealing the unnatural libration centers produced by the secondorder but not firstorder solution and by demonstrating that the true orbital solution lies somewhere inbetween the third and fourthorder solutions we also present formulas used to incorporate perturbations from centralbody oblateness and precession and a protoplanetary or protosatellite thin disk with gaps into a resonant system we quantify these contributions to the gj 876 system and thereby highlight the conditions which must exist for multiplanet exosystems to be significantly influenced by such factors we find that massive enough disks may convert resonant libration into circulation such diskinduced signatures may provide constraints for future studies of exoplanet systems | [['investigations', 'of', 'two', 'resonant', 'planets', 'orbiting', 'a', 'star', 'or', 'two', 'resonant', 'satellites', 'orbiting', 'a', 'planet', 'often', 'rely', 'on', 'a', 'few', 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709.0006 | Local Unitary Quantum Cellular Automata | In this paper we present a quantization of Cellular Automata. Our formalism
is based on a lattice of qudits, and an update rule consisting of local unitary
operators that commute with their own lattice translations. One purpose of this
model is to act as a theoretical model of quantum computation, similar to the
quantum circuit model. It is also shown to be an appropriate abstraction for
space-homogeneous quantum phenomena, such as quantum lattice gases, spin chains
and others. Some results that show the benefits of basing the model on local
unitary operators are shown: universality, strong connections to the circuit
model, simple implementation on quantum hardware, and a wealth of applications.
| quant-ph | in this paper we present a quantization of cellular automata our formalism is based on a lattice of qudits and an update rule consisting of local unitary operators that commute with their own lattice translations one purpose of this model is to act as a theoretical model of quantum computation similar to the quantum circuit model it is also shown to be an appropriate abstraction for spacehomogeneous quantum phenomena such as quantum lattice gases spin chains and others some results that show the benefits of basing the model on local unitary operators are shown universality strong connections to the circuit model simple implementation on quantum hardware and a wealth of applications | [['in', 'this', 'paper', 'we', 'present', 'a', 'quantization', 'of', 'cellular', 'automata', 'our', 'formalism', 'is', 'based', 'on', 'a', 'lattice', 'of', 'qudits', 'and', 'an', 'update', 'rule', 'consisting', 'of', 'local', 'unitary', 'operators', 'that', 'commute', 'with', 'their', 'own', 'lattice', 'translations', 'one', 'purpose', 'of', 'this', 'model', 'is', 'to', 'act', 'as', 'a', 'theoretical', 'model', 'of', 'quantum', 'computation', 'similar', 'to', 'the', 'quantum', 'circuit', 'model', 'it', 'is', 'also', 'shown', 'to', 'be', 'an', 'appropriate', 'abstraction', 'for', 'spacehomogeneous', 'quantum', 'phenomena', 'such', 'as', 'quantum', 'lattice', 'gases', 'spin', 'chains', 'and', 'others', 'some', 'results', 'that', 'show', 'the', 'benefits', 'of', 'basing', 'the', 'model', 'on', 'local', 'unitary', 'operators', 'are', 'shown', 'universality', 'strong', 'connections', 'to', 'the', 'circuit', 'model', 'simple', 'implementation', 'on', 'quantum', 'hardware', 'and', 'a', 'wealth', 'of', 'applications']] | [-0.11672167501596918, 0.13714625951356826, -0.07826912095497555, 0.03670982337401559, -0.05139721742503949, -0.1965995315747621, 0.07368567905300674, 0.3880456135784452, -0.2685621907380787, -0.21600310925629224, 0.06826119865647408, -0.2557119400416677, -0.20273211147837542, 0.21415553104157584, -0.051308021200810315, 0.09378730265742487, 0.04769631664830822, 0.0552703984677456, -0.059271366272524405, -0.28097034430106144, 0.27960792394472406, 0.0747096548559614, 0.29188769298127376, 0.052885484025823604, 0.10500540772687879, -0.009750239286773108, 0.022946629820072704, -0.004257118262283437, -0.07068554605297044, 0.13665313739329576, 0.2106452857286812, 0.08984175767867011, 0.22216690600186856, -0.4724475510653343, -0.2155671205019226, 0.08065632913630826, 0.09216208875531683, 0.16834706227664273, -0.016070970672870742, -0.29075042425176584, 0.05809469555865403, -0.22733961252982285, -0.10788682340969424, -0.12320428785473646, -0.0001738019526709576, 0.005371577391686203, -0.24305920247911467, -0.008815750683424994, 0.1335310784613227, 0.07667043435949462, -0.031801500882080815, -0.07254061677602229, 0.033542729563893633, 0.10835235900673512, -0.05308401479222182, 0.0037594293202231595, 0.12755062294754763, -0.11027113897390328, -0.20689084036863065, 0.40866621731369346, -0.02597170047931843, -0.23082450314567568, 0.19958428954411936, -0.07542163892733017, -0.15461137434803285, 0.006913428207406321, 0.13954363903135633, 0.06538835698151374, -0.15471621437484886, 0.13031979761273088, -0.08033334139969435, 0.15820659475552068, -0.027153386193252093, 0.094737664196506, 0.19166474742814898, 0.14590362521509329, 0.08777573077125592, 0.13467952989666881, 0.017781021709025308, -0.19329428346408112, -0.3259138444790969, -0.1837606557290217, -0.20566105259464937, 0.08719810329142723, -0.04968913108373149, -0.181132442084548, 0.3984620694935255, 0.17659662499486864, 0.1994499201290645, 0.07393068325787631, 0.2724011407720412, 0.1336728208016621, 0.08594527284128105, 0.03467939784834245, 0.14683287369788978, 0.16740521723152818, 0.0528455569895471, -0.22992573805606445, 0.0009027323937295256, 0.10006141277063671] |
709.0007 | LHC Signals for Warped Electroweak Neutral Gauge Bosons | We study signals at the Large Hadron Collider (LHC) for Kaluza-Klein (KK)
excitations of the electroweak gauge bosons in the framework with the Standard
Model (SM) gauge and fermion fields propagating in a warped extra dimension.
Such a framework addresses both the Planck-weak and flavor hierarchy problems
of the SM. Unlike the often studied Z' cases, in this framework, there are
three neutral gauge bosons due to the underlying SU(2)_L x SU(2)_R x U(1)_X
gauge group in the bulk. Furthermore, couplings of these KK states to light
quarks and leptons are suppressed, whereas those to top and bottom quarks are
enhanced compared to the SM gauge couplings. Therefore, the production of light
quark and lepton states is suppressed relative to other beyond the SM
constructions, and the fermionic decays of these states are dominated by the
top and bottom quarks, which are, though, overwhelmed by KK gluons dominantly
decaying into them. However, as we emphasize in this paper, decays of these
states to longitudinal W, Z and Higgs are also enhanced similarly to the case
of top and bottom quarks. We show that the W, Z and Higgs final states can give
significant sensitivity at the LHC to 2 (3) TeV KK scale with an integrated
luminosity of 100 invfb (1 invab). Since current theoretical framework(s) favor
KK masses greater than about 3 TeV, luminosity upgrade of LHC is likely to be
crucial in observing these states.
| hep-ph | we study signals at the large hadron collider lhc for kaluzaklein kk excitations of the electroweak gauge bosons in the framework with the standard model sm gauge and fermion fields propagating in a warped extra dimension such a framework addresses both the planckweak and flavor hierarchy problems of the sm unlike the often studied z cases in this framework there are three neutral gauge bosons due to the underlying su2_l x su2_r x u1_x gauge group in the bulk furthermore couplings of these kk states to light quarks and leptons are suppressed whereas those to top and bottom quarks are enhanced compared to the sm gauge couplings therefore the production of light quark and lepton states is suppressed relative to other beyond the sm constructions and the fermionic decays of these states are dominated by the top and bottom quarks which are though overwhelmed by kk gluons dominantly decaying into them however as we emphasize in this paper decays of these states to longitudinal w z and higgs are also enhanced similarly to the case of top and bottom quarks we show that the w z and higgs final states can give significant sensitivity at the lhc to 2 3 tev kk scale with an integrated luminosity of 100 invfb 1 invab since current theoretical frameworks favor kk masses greater than about 3 tev luminosity upgrade of lhc is likely to be crucial in observing these states | [['we', 'study', 'signals', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'for', 'kaluzaklein', 'kk', 'excitations', 'of', 'the', 'electroweak', 'gauge', 'bosons', 'in', 'the', 'framework', 'with', 'the', 'standard', 'model', 'sm', 'gauge', 'and', 'fermion', 'fields', 'propagating', 'in', 'a', 'warped', 'extra', 'dimension', 'such', 'a', 'framework', 'addresses', 'both', 'the', 'planckweak', 'and', 'flavor', 'hierarchy', 'problems', 'of', 'the', 'sm', 'unlike', 'the', 'often', 'studied', 'z', 'cases', 'in', 'this', 'framework', 'there', 'are', 'three', 'neutral', 'gauge', 'bosons', 'due', 'to', 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709.0008 | Lattice QCD determination of patterns of excited baryon states | Energies for excited isospin I=1/2 and I=3/2 states that include the nucleon
and Delta families of baryons are computed using quenched, anisotropic
lattices. Baryon interpolating field operators that are used include nonlocal
operators that provide G_2 irreducible representations of the octahedral group.
The decomposition of spin 5/2 or higher spin states is realized for the first
time in a lattice QCD calculation. We observe patterns of degenerate energies
in the irreducible representations of the octahedral group that correspond to
the subduction of the continuum spin 5/2 or higher. The overall pattern of
low-lying excited states corresponds well to the pattern of physical states
subduced to the irreducible representations of the octahedral group.
| hep-lat | energies for excited isospin i12 and i32 states that include the nucleon and delta families of baryons are computed using quenched anisotropic lattices baryon interpolating field operators that are used include nonlocal operators that provide g_2 irreducible representations of the octahedral group the decomposition of spin 52 or higher spin states is realized for the first time in a lattice qcd calculation we observe patterns of degenerate energies in the irreducible representations of the octahedral group that correspond to the subduction of the continuum spin 52 or higher the overall pattern of lowlying excited states corresponds well to the pattern of physical states subduced to the irreducible representations of the octahedral group | [['energies', 'for', 'excited', 'isospin', 'i12', 'and', 'i32', 'states', 'that', 'include', 'the', 'nucleon', 'and', 'delta', 'families', 'of', 'baryons', 'are', 'computed', 'using', 'quenched', 'anisotropic', 'lattices', 'baryon', 'interpolating', 'field', 'operators', 'that', 'are', 'used', 'include', 'nonlocal', 'operators', 'that', 'provide', 'g_2', 'irreducible', 'representations', 'of', 'the', 'octahedral', 'group', 'the', 'decomposition', 'of', 'spin', '52', 'or', 'higher', 'spin', 'states', 'is', 'realized', 'for', 'the', 'first', 'time', 'in', 'a', 'lattice', 'qcd', 'calculation', 'we', 'observe', 'patterns', 'of', 'degenerate', 'energies', 'in', 'the', 'irreducible', 'representations', 'of', 'the', 'octahedral', 'group', 'that', 'correspond', 'to', 'the', 'subduction', 'of', 'the', 'continuum', 'spin', '52', 'or', 'higher', 'the', 'overall', 'pattern', 'of', 'lowlying', 'excited', 'states', 'corresponds', 'well', 'to', 'the', 'pattern', 'of', 'physical', 'states', 'subduced', 'to', 'the', 'irreducible', 'representations', 'of', 'the', 'octahedral', 'group']] | [-0.13979767684161612, 0.2696720143347712, -0.06852892925962806, 0.08445744344187135, -0.01993934391066432, -0.0831754343609126, 0.032239660292231874, 0.37461314875898616, -0.2132339830194334, -0.21143216697964817, 0.03850492291011116, -0.30824285143587205, -0.06178431035368703, 0.06922996509404454, 0.08468494996694582, -8.730974514037371e-05, 0.02925320323889277, 0.06449040392830543, -0.11266706515535978, -0.18446160297441697, 0.3561142410118399, -0.05194209531431885, 0.24503590477563972, 0.05838825028955138, 0.06979637985932641, 0.0024044801580852698, 0.01993720485396417, -0.08391659252811223, -0.08310757703111449, 0.13997847031194915, 0.28868589050294496, -0.004847478553918856, 0.1145640747708967, -0.4230697724602318, -0.12924472952727228, 0.1336115649735023, 0.16719160655546667, 0.16230160410382918, 0.01186954987185475, -0.30433365792435196, 0.05564348419596042, -0.18723822281961994, -0.19763165733976557, -0.1352790926050927, 0.02333425773187108, -0.014071120647713542, -0.25456480165511103, 0.14815938978738682, 0.04689252918407354, 0.08549782484104591, -0.12172099365437004, -0.24130035452877305, -0.1260473520233063, 0.11620217656517136, 0.006199734822855264, 0.04359933866362553, 0.11940545193751209, -0.13832906075757428, -0.18356946918772468, 0.42284057528844904, -0.03689085811908756, -0.17719197715008964, 0.12012529203119422, -0.18126044598674135, -0.14222201996017247, 0.1473912163097079, 0.1382334359077504, 0.08858697480588619, -0.05092045181663707, 0.07280803699541138, -0.0684606542469867, 0.13361569397862436, 0.07632506171440971, 0.07973765837959945, 0.1532291347809535, 0.08289612461729641, 0.05022423220465758, 0.10344642714231408, -0.03919099732801052, -0.06290340209878716, -0.3065765451007922, -0.11171161907259375, -0.15780739930258797, 0.06141701758107437, -0.07859780196174272, -0.1348109972646593, 0.44133474624582697, 0.04876435412110628, 0.1839568396764142, 0.0037330587614893113, 0.16137003702377634, 0.09837290025981409, 0.11122134896660489, 0.06184959262100165, 0.1996124348536666, 0.24099767735294467, 0.0019828840075725956, -0.30406136955882956, -0.05392392820119442, 0.10687862239345643] |
709.0009 | Consequences of a Cosmic Scalar with Kinetic Coupling to Curvature | The classical gravitational theory of a scalar field with a gradient coupling
to the Ricci tensor is examined. This is a scalar-vector-tensor gravitational
theory, but in the case that the coupling is weak and the scalar evolves like a
quintessence field on cosmological time scales, the field equations within the
solar system are similar to a vector-tensor theory predicting
tightly-constrained preferred-frame effects. In the early universe, it is shown
that strong coupling effects can damp the evolution of the scalar field rolling
down a potential to help drive an inflationary epoch. In the absence of a
potential, the strong coupling effects drive a coasting expansion epoch which
ultimately terminates in a sudden singularity.
| gr-qc | the classical gravitational theory of a scalar field with a gradient coupling to the ricci tensor is examined this is a scalarvectortensor gravitational theory but in the case that the coupling is weak and the scalar evolves like a quintessence field on cosmological time scales the field equations within the solar system are similar to a vectortensor theory predicting tightlyconstrained preferredframe effects in the early universe it is shown that strong coupling effects can damp the evolution of the scalar field rolling down a potential to help drive an inflationary epoch in the absence of a potential the strong coupling effects drive a coasting expansion epoch which ultimately terminates in a sudden singularity | [['the', 'classical', 'gravitational', 'theory', 'of', 'a', 'scalar', 'field', 'with', 'a', 'gradient', 'coupling', 'to', 'the', 'ricci', 'tensor', 'is', 'examined', 'this', 'is', 'a', 'scalarvectortensor', 'gravitational', 'theory', 'but', 'in', 'the', 'case', 'that', 'the', 'coupling', 'is', 'weak', 'and', 'the', 'scalar', 'evolves', 'like', 'a', 'quintessence', 'field', 'on', 'cosmological', 'time', 'scales', 'the', 'field', 'equations', 'within', 'the', 'solar', 'system', 'are', 'similar', 'to', 'a', 'vectortensor', 'theory', 'predicting', 'tightlyconstrained', 'preferredframe', 'effects', 'in', 'the', 'early', 'universe', 'it', 'is', 'shown', 'that', 'strong', 'coupling', 'effects', 'can', 'damp', 'the', 'evolution', 'of', 'the', 'scalar', 'field', 'rolling', 'down', 'a', 'potential', 'to', 'help', 'drive', 'an', 'inflationary', 'epoch', 'in', 'the', 'absence', 'of', 'a', 'potential', 'the', 'strong', 'coupling', 'effects', 'drive', 'a', 'coasting', 'expansion', 'epoch', 'which', 'ultimately', 'terminates', 'in', 'a', 'sudden', 'singularity']] | [-0.20544689522120707, 0.1895159913807236, -0.13880271200024713, 0.10770491085250128, -0.11416577635151623, -0.13359041622787327, -0.06653387227973415, 0.2684023689594021, -0.25285922490324064, -0.2522155578305895, 0.06691769520500757, -0.2377347584022621, -0.1378036199747461, 0.12128996732644737, 0.04331132284761201, -0.03826940120239042, 0.011522871738843686, 0.0695154764215602, -0.03995067276785859, -0.22729924665269466, 0.3089189531809065, 0.10285950032994151, 0.21687813553200885, 0.051293653138785464, 0.08541440629128334, -0.06635360803199619, 0.04890042919237002, 0.06667085878877588, -0.10252814731353058, -0.02150061007061627, 0.14347492766657235, 0.07881443401946958, 0.31667182686845813, -0.4295555597451408, -0.27182435614378314, 0.11247641775361468, 0.13346120741102943, 0.18900203735225596, -0.07989215001564852, -0.2731471664820328, 0.018216751824932553, -0.15729872425770866, -0.15170102556126885, -0.028371667876773702, 0.015917265309696702, -0.03447029850058324, -0.3035379387520715, 0.11025494643676598, 0.009842613427611314, -0.016422247559458546, -0.09145677528154533, 0.015465861793187142, -0.025266201297167393, 0.05822796320884727, 0.11962769275110842, 0.11873720566519594, 0.18267408742330374, -0.20157451901906293, -0.05025101661171138, 0.4046438718791557, -0.20390261221672945, -0.14911290347180536, 0.144349561072886, -0.15882808975545706, -0.11441416171816203, 0.10063753917450662, 0.14722594940227218, 0.11772932317643632, -0.1216929467983206, 0.16706602008904092, 0.07832184515736865, 0.16297076073829578, 0.05751777520048869, 0.0009724745460975487, 0.31037077553306536, 0.1183180937840216, 0.028119246368255236, 0.09060762101059071, -0.025103104447088805, -0.15118592176421553, -0.3544561242173731, -0.13258613277622291, -0.11548631023450763, 0.0952133704636213, -0.16398910645267253, -0.20302098973080376, 0.4145264316399672, 0.1570853569840526, 0.13924522914324136, 0.02999753839711337, 0.2791126744854635, 0.1258741907252048, 0.07774713053574077, 0.05043453936860691, 0.3824092686769709, 0.18691952243875876, 0.15271595016583406, -0.27591989402436706, -0.02135007240422136, 0.05267014490456971] |
709.001 | Generation of four-qubit cluster of entangled coherent states in bimodal
QED cavities | A recent work [1] proposed a type of cluster entangled coherent states and
its generation. Here we present an alternative experimental arrangement for its
generation in bimodal QED cavities. The scheme employs a single two-level atom
that interacts dispersively with cavity modes initially prepared in coherent
states. The fidelity and success probability of the state preparation are
obtained considering the influence of atomic velocity spread and atomic
efficiency detection.
| quant-ph | a recent work 1 proposed a type of cluster entangled coherent states and its generation here we present an alternative experimental arrangement for its generation in bimodal qed cavities the scheme employs a single twolevel atom that interacts dispersively with cavity modes initially prepared in coherent states the fidelity and success probability of the state preparation are obtained considering the influence of atomic velocity spread and atomic efficiency detection | [['a', 'recent', 'work', '1', 'proposed', 'a', 'type', 'of', 'cluster', 'entangled', 'coherent', 'states', 'and', 'its', 'generation', 'here', 'we', 'present', 'an', 'alternative', 'experimental', 'arrangement', 'for', 'its', 'generation', 'in', 'bimodal', 'qed', 'cavities', 'the', 'scheme', 'employs', 'a', 'single', 'twolevel', 'atom', 'that', 'interacts', 'dispersively', 'with', 'cavity', 'modes', 'initially', 'prepared', 'in', 'coherent', 'states', 'the', 'fidelity', 'and', 'success', 'probability', 'of', 'the', 'state', 'preparation', 'are', 'obtained', 'considering', 'the', 'influence', 'of', 'atomic', 'velocity', 'spread', 'and', 'atomic', 'efficiency', 'detection']] | [-0.14804797183951715, 0.22090735987855453, -0.037377541425867356, -0.035129051601541214, 0.053366361685313175, -0.1693103606812656, 0.07753311885365595, 0.4246866277594497, -0.20952365486680166, -0.2481393842060335, -0.0009747156029756086, -0.26917421866370284, -0.04652093996064387, 0.18039760949171108, 0.004080060626501622, 0.08362869602337858, 0.12238103831591814, 0.017331421807192375, 0.006804149931944583, -0.22365077861679206, 0.3244786640878875, 0.06793596534787313, 0.36737117631549854, -0.014000731965769892, 0.1427068141410532, 0.005506248874724775, 0.05320749089013839, -0.03992255069855331, -0.06542271957785462, 0.16168680791641868, 0.19890250918873842, 0.1154475657782261, 0.2742646293363709, -0.43825170289779053, -0.18847154321290716, 0.044699396047255265, 0.15314907851321893, 0.19114644234271153, -0.1151246411482925, -0.33636174304410815, -0.04645153029781321, -0.22456702687170194, -0.17788382553481968, -0.0523838070558681, 0.0026329153122893276, 0.0023992843723491483, -0.26213919735797075, 0.0776165372327618, 0.025930081834962617, 0.027489239606412426, -0.036897946982577014, -0.037390102551359196, 0.015487473545784967, 0.07420090884240209, -0.13140411337540633, 0.01549555820858349, 0.1903960027013217, -0.14763378479477504, -0.17532843298724163, 0.3346104451313453, -0.10084714538053326, -0.16296190889282286, 0.19338981680356074, -0.08986494312589259, -0.07850392557599623, 0.08532502712762874, 0.12178196571429895, 0.1091092615050898, -0.06443086343452982, -0.00123316337324112, -0.029878776932162218, 0.23775304295797495, 0.0876025924310628, 0.14775913611621314, 0.1990202158956073, 0.1847253876596527, 0.011705417294001234, 0.20098075328691714, -0.14738922365063775, -0.11143552534876094, -0.269440827290595, -0.1594077362999509, -0.23231952595591976, 0.05248645961662565, 0.012685188693559621, -0.11875258915234303, 0.4246128497198051, 0.0975922388362064, 0.14214526626038487, -0.04831572863664748, 0.31970314643737197, 0.10530515434895305, -0.005080493463986162, 0.008430542107131601, 0.28953951958944835, 0.16528172345589037, 0.052106332708744034, -0.2874854955066373, 0.03478470282203963, -0.013517055299430005] |
709.0011 | Freeness with amalgamation, limit theorems and S-transform in
non-commutative probability spaces of type B | The present material addresses several problems left open in the Trans. AMS
paper " Non-crossing cumulants of type B" of P. Biane, F. Goodman and A. Nica.
The main result is that a type B non-commutative probability space can be
studied in the framework of freeness with amalgamation. This view allows easy
ways of constructing a version of the S-transform as well as proving analogue
results to Central Limit Theorem and Poisson Limit Theorem.
| math.OA math.CO | the present material addresses several problems left open in the trans ams paper noncrossing cumulants of type b of p biane f goodman and a nica the main result is that a type b noncommutative probability space can be studied in the framework of freeness with amalgamation this view allows easy ways of constructing a version of the stransform as well as proving analogue results to central limit theorem and poisson limit theorem | [['the', 'present', 'material', 'addresses', 'several', 'problems', 'left', 'open', 'in', 'the', 'trans', 'ams', 'paper', 'noncrossing', 'cumulants', 'of', 'type', 'b', 'of', 'p', 'biane', 'f', 'goodman', 'and', 'a', 'nica', 'the', 'main', 'result', 'is', 'that', 'a', 'type', 'b', 'noncommutative', 'probability', 'space', 'can', 'be', 'studied', 'in', 'the', 'framework', 'of', 'freeness', 'with', 'amalgamation', 'this', 'view', 'allows', 'easy', 'ways', 'of', 'constructing', 'a', 'version', 'of', 'the', 'stransform', 'as', 'well', 'as', 'proving', 'analogue', 'results', 'to', 'central', 'limit', 'theorem', 'and', 'poisson', 'limit', 'theorem']] | [-0.13222836699234705, 0.0749045337633268, -0.1080977982930737, 0.08249078446055112, -0.05724403453506019, -0.12330795891506419, 0.05796365155232432, 0.26989241202093966, -0.3029592847834303, -0.27472275463634566, 0.0849676077949419, -0.2015389005291955, -0.1286310615362472, 0.2085311462311712, -0.18154397809699382, 0.030455431786097893, 0.058748087188713764, 0.009347900190097217, -0.04342449499511045, -0.2254510621655069, 0.3112387504581719, 0.052745429968799475, 0.2302565579143136, 0.07557765503528796, 0.06144966549329357, 0.0991199116018435, -0.05245918939400413, 0.015028858206104105, -0.17681183511989704, 0.12647927209913526, 0.3042520854609368, 0.0905787651682247, 0.2659313556011001, -0.30427616551416375, -0.12372469385026967, 0.11678328286626771, 0.12341994274254531, 0.030987315654933248, -0.02083382500998982, -0.29831419652965785, 0.09363273038745742, -0.19754036703491457, -0.20667217530259122, -0.033483940763526586, 0.038934009200701974, 0.05517291267440744, -0.2859796981059321, 0.053377909419981585, 0.21107341705228214, 0.05716616010503869, -0.04100019295703084, -0.13044972066474084, 0.03279756969287481, 0.0659892375051516, 0.022002788467894066, 0.06741485504229387, 0.09947090219604234, -0.04728043927453866, -0.18305759689426176, 0.363721833487794, -0.04614011457266465, -0.16625048901426465, 0.16702957222978138, -0.13667818496947828, -0.19367252199668183, 0.043766896840031835, 0.07402079391344259, 0.1353376328383815, -0.1469922403945294, 0.2263916226611026, -0.14101692121667303, 0.05965037492569536, 0.14713009834697802, 0.017695430251578353, 0.14697941484197669, 0.12240146370907633, 0.06939926674615031, 0.17657154640469905, -0.02598583083344649, -0.059304183010930475, -0.33302991018209555, -0.20322788153354027, -0.15521014014526896, 0.10366914502970159, -0.054511040448743775, -0.15693361752296556, 0.3258810951629628, 0.11419028128586607, 0.15841635559647255, 0.06586813272219406, 0.2141630450544292, 0.11526676219862515, -0.024509263070210917, 0.03985322377810331, 0.10548574110008266, 0.27837757963355475, 0.10138170579320764, -0.0845821261061483, 0.009258414644186627, 0.20949658858015724] |
709.0012 | Observation of persistent flow of a Bose-Einstein condensate in a
toroidal trap | We have observed the persistent flow of Bose-condensed atoms in a toroidal
trap. The flow persists without decay for up to 10 s, limited only by
experimental factors such as drift and trap lifetime. The quantized rotation
was initiated by transferring one unit, $\hbar$, of the orbital angular
momentum from Laguerre-Gaussian photons to each atom. Stable flow was only
possible when the trap was multiply-connected, and was observed with a BEC
fraction as small as 15%. We also created flow with two units of angular
momentum, and observed its splitting into two singly-charged vortices when the
trap geometry was changed from multiply- to simply-connected.
| cond-mat.other cond-mat.supr-con | we have observed the persistent flow of bosecondensed atoms in a toroidal trap the flow persists without decay for up to 10 s limited only by experimental factors such as drift and trap lifetime the quantized rotation was initiated by transferring one unit hbar of the orbital angular momentum from laguerregaussian photons to each atom stable flow was only possible when the trap was multiplyconnected and was observed with a bec fraction as small as 15 we also created flow with two units of angular momentum and observed its splitting into two singlycharged vortices when the trap geometry was changed from multiply to simplyconnected | [['we', 'have', 'observed', 'the', 'persistent', 'flow', 'of', 'bosecondensed', 'atoms', 'in', 'a', 'toroidal', 'trap', 'the', 'flow', 'persists', 'without', 'decay', 'for', 'up', 'to', '10', 's', 'limited', 'only', 'by', 'experimental', 'factors', 'such', 'as', 'drift', 'and', 'trap', 'lifetime', 'the', 'quantized', 'rotation', 'was', 'initiated', 'by', 'transferring', 'one', 'unit', 'hbar', 'of', 'the', 'orbital', 'angular', 'momentum', 'from', 'laguerregaussian', 'photons', 'to', 'each', 'atom', 'stable', 'flow', 'was', 'only', 'possible', 'when', 'the', 'trap', 'was', 'multiplyconnected', 'and', 'was', 'observed', 'with', 'a', 'bec', 'fraction', 'as', 'small', 'as', '15', 'we', 'also', 'created', 'flow', 'with', 'two', 'units', 'of', 'angular', 'momentum', 'and', 'observed', 'its', 'splitting', 'into', 'two', 'singlycharged', 'vortices', 'when', 'the', 'trap', 'geometry', 'was', 'changed', 'from', 'multiply', 'to', 'simplyconnected']] | [-0.1208715356949072, 0.26918684438659024, -0.01625309820072009, 0.000607022549957037, -0.019584892286310114, -0.1693535645161039, 0.019630923468727045, 0.3921403248185435, -0.2660690519081142, -0.31981400386072123, 0.040097043443193585, -0.2736165535618336, 0.016395252806922563, 0.18624067369651479, -0.010351156954689382, 0.06366640236172735, 0.048060074992603265, 0.031536916109661646, -0.023199477846971534, -0.24387127287179913, 0.29177693313193653, 0.03991416888311505, 0.24082449253406735, 0.044083177565391034, 0.13456154546181026, -0.022463622411193613, 0.038715200046471394, 0.01706440347390106, -0.11321052870390794, 0.08220682103330126, 0.1537093001937207, -0.007645426667295396, 0.2113965916304061, -0.4477806327183946, -0.19519667434416568, 0.08325343671290633, 0.19551402115645872, 0.1697125399570303, -0.0446573658577668, -0.2762945851024527, 0.02634794600173616, -0.1765330798494128, -0.13638780933195868, -0.07015900166767935, 0.10245875527974792, 0.03449525195397795, -0.2159527317674544, 0.07903173728594154, 0.07708225547909163, 0.0682884596574765, -0.09545534798235167, -0.0677627127017611, -0.07448377227410674, 0.0853002597628242, 0.045804911937851175, 0.07650477605728576, 0.17288662287263343, -0.0877653120416933, -0.07087001803581817, 0.38474774876466167, -0.10084310241151027, -0.15477435547822657, 0.13283975083434668, -0.23337512612880135, -0.016932083517671205, 0.19038967771204904, 0.14412131274618262, 0.08964997692069468, -0.07225648771054693, 0.02352545845440965, -0.05242329060834331, 0.16808777109075052, 0.16171157425000834, 0.0017852395204289888, 0.24989537216830426, 0.13572390108423021, 0.04531559295495614, 0.17136525849883372, -0.18913390988189768, -0.09850208935061416, -0.2314192523749975, -0.13806480017060843, -0.20500994279371718, 0.09667985944543034, -0.010483342173196993, -0.05556870947251669, 0.3754230201369725, 0.01589043536939873, 0.26096831736951853, -0.06928310296811666, 0.3178748671108714, 0.1049107985275511, 0.13167132704536647, 0.08320482704080999, 0.27124955404388645, 0.1766606365876774, 0.14041787068372985, -0.2581298658445191, -0.019052496099343095, 0.017693427288367484] |
709.0013 | On Selfadjoint Subspace of One-Speed Boltzmann Operator | The aim of the paper is to obtain a description of the selfadjoint subspace
of the one-speed Boltzmann operator. It is proved that this subspace is
nontrivial if the collision integral is polynomial and the multiplication
coefficient has a lattice of gaps. A similar result is shown to hold for the
3-dimensional transport operator.
Keywords: completely nonselfadjoint, Boltzmann operator, uncertainly
principle.
| math.SP | the aim of the paper is to obtain a description of the selfadjoint subspace of the onespeed boltzmann operator it is proved that this subspace is nontrivial if the collision integral is polynomial and the multiplication coefficient has a lattice of gaps a similar result is shown to hold for the 3dimensional transport operator keywords completely nonselfadjoint boltzmann operator uncertainly principle | [['the', 'aim', 'of', 'the', 'paper', 'is', 'to', 'obtain', 'a', 'description', 'of', 'the', 'selfadjoint', 'subspace', 'of', 'the', 'onespeed', 'boltzmann', 'operator', 'it', 'is', 'proved', 'that', 'this', 'subspace', 'is', 'nontrivial', 'if', 'the', 'collision', 'integral', 'is', 'polynomial', 'and', 'the', 'multiplication', 'coefficient', 'has', 'a', 'lattice', 'of', 'gaps', 'a', 'similar', 'result', 'is', 'shown', 'to', 'hold', 'for', 'the', '3dimensional', 'transport', 'operator', 'keywords', 'completely', 'nonselfadjoint', 'boltzmann', 'operator', 'uncertainly', 'principle']] | [-0.14266468317163955, 0.09075546585267684, -0.12573786705854487, 0.06345106114740254, -0.11165595500439894, -0.12996819997817033, -0.05676059364761058, 0.31906955646442586, -0.35540933669621094, -0.14122077203584743, 0.11255005065382259, -0.29382471362730966, -0.13792567451286022, 0.16588512795870422, -0.06854953424485981, 0.10787949863187664, 0.12240269100751544, 0.10332473095689641, -0.06512573863318587, -0.22541484514587237, 0.3919084060509674, 0.0725615936728408, 0.2262027549450515, 0.10406599519774318, 0.12929585105052493, -0.003450176606076907, -0.003813122822826759, -0.006884511407525813, -0.1080984862443283, 0.12599609499094916, 0.26909008973323906, 0.05464303469071623, 0.2577628846753572, -0.3487060494782006, -0.20324318426981813, 0.1458891168252, 0.12859466910117962, 0.08480567962969424, 0.0014556055033548934, -0.2024500190173505, 0.1109484834291163, -0.15107204820044706, -0.16874386299951155, -0.09649248670053776, 0.04563392839226566, -0.04854049467954968, -0.3343108306280108, 0.09300630612940085, 0.13249078293361502, 0.02389365805648878, -0.09089907566390809, -0.08781624770891226, 0.02279896960883844, 0.039688772155491055, -0.02843343634845414, 0.05079096061803522, 0.03974140096516883, -0.042298794468315165, -0.08218084849783631, 0.4104699017938043, -0.015051467664784095, -0.255484317749983, 0.12200633443788945, -0.17428428371299487, -0.06745699003766306, 0.08405155996166047, 0.06732430455626034, 0.1348505226864678, -0.19247995173466986, 0.21596193609694325, -0.14729528202385198, 0.11279710003587066, 0.04074292541405217, 0.022868712150232225, 0.07130971905149397, 0.1142043566529746, 0.14921056763956048, 0.10923827041826042, 0.01712994198849211, -0.08728815118217322, -0.2872960930232142, -0.1983228413021711, -0.2662829637954958, 0.10649235186273934, -0.06846141340339854, -0.2054332281900837, 0.40901321661276896, 0.09988862124546508, 0.19436648855993494, 0.06292043895017906, 0.22476090377837907, 0.22773852254279325, 0.06417236139818445, 0.10642586298073169, 0.1877359838938707, 0.20573712732703958, 0.1049658409396156, -0.23056461575410528, 0.023111831289945078, 0.20743241393175282] |
709.0014 | Accurate determination of electric-dipole matrix elements in K and Rb
from Stark shift measurements | Stark shifts of potassium and rubidium D1 lines have been measured with high
precision by Miller et al [1]. In this work, we combine these measurements with
our all-order calculations to determine the values of the electric-dipole
matrix elements for the 4p_j-3d_j' transitions in K and for the 5p_j-4d_j'
transitions in Rb to high precision. The 4p_1/2-3d_3/2 and 5p_1/2-4d_3/2
transitions contribute on the order of 90% to the respective polarizabilities
of the np_1/2 states in K and Rb, and the remaining 10% can be accurately
calculated using the relativistic all-order method. Therefore, the combination
of the experimental data and theoretical calculations allows us to determine
the np-(n-1)d matrix elements and their uncertainties. We compare these values
with our all-order calculations of the np-(n-1)d matrix elements in K and Rb
for a benchmark test of the accuracy of the all-order method for transitions
involving nd states. Such matrix elements are of special interest for many
applications, such as determination of magic wavelengths in alkali-metal atoms
for state-insensitive cooling and trapping and determination of blackbody
radiation shifts in optical frequency standards with ions.
| physics.atom-ph | stark shifts of potassium and rubidium d1 lines have been measured with high precision by miller et al 1 in this work we combine these measurements with our allorder calculations to determine the values of the electricdipole matrix elements for the 4p_j3d_j transitions in k and for the 5p_j4d_j transitions in rb to high precision the 4p_123d_32 and 5p_124d_32 transitions contribute on the order of 90 to the respective polarizabilities of the np_12 states in k and rb and the remaining 10 can be accurately calculated using the relativistic allorder method therefore the combination of the experimental data and theoretical calculations allows us to determine the npn1d matrix elements and their uncertainties we compare these values with our allorder calculations of the npn1d matrix elements in k and rb for a benchmark test of the accuracy of the allorder method for transitions involving nd states such matrix elements are of special interest for many applications such as determination of magic wavelengths in alkalimetal atoms for stateinsensitive cooling and trapping and determination of blackbody radiation shifts in optical frequency standards with ions | [['stark', 'shifts', 'of', 'potassium', 'and', 'rubidium', 'd1', 'lines', 'have', 'been', 'measured', 'with', 'high', 'precision', 'by', 'miller', 'et', 'al', '1', 'in', 'this', 'work', 'we', 'combine', 'these', 'measurements', 'with', 'our', 'allorder', 'calculations', 'to', 'determine', 'the', 'values', 'of', 'the', 'electricdipole', 'matrix', 'elements', 'for', 'the', '4p_j3d_j', 'transitions', 'in', 'k', 'and', 'for', 'the', '5p_j4d_j', 'transitions', 'in', 'rb', 'to', 'high', 'precision', 'the', '4p_123d_32', 'and', '5p_124d_32', 'transitions', 'contribute', 'on', 'the', 'order', 'of', '90', 'to', 'the', 'respective', 'polarizabilities', 'of', 'the', 'np_12', 'states', 'in', 'k', 'and', 'rb', 'and', 'the', 'remaining', '10', 'can', 'be', 'accurately', 'calculated', 'using', 'the', 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709.0015 | Noncommutative Einstein Equations | We study a noncommutative deformation of general relativity where the
gravitational field is described by a matrix-valued symmetric two-tensor field.
The equations of motion are derived in the framework of this new theory by
varying a diffeomorphisms and gauge invariant action constructed by using a
matrix-valued scalar curvature. Interestingly the genuine noncommutative part
of the dynamical equations is described only in terms of a particular tensor
density that vanishes identically in the commutative limit. A noncommutative
generalization of the energy-momentum tensor for the matter field is studied as
well.
| gr-qc | we study a noncommutative deformation of general relativity where the gravitational field is described by a matrixvalued symmetric twotensor field the equations of motion are derived in the framework of this new theory by varying a diffeomorphisms and gauge invariant action constructed by using a matrixvalued scalar curvature interestingly the genuine noncommutative part of the dynamical equations is described only in terms of a particular tensor density that vanishes identically in the commutative limit a noncommutative generalization of the energymomentum tensor for the matter field is studied as well | [['we', 'study', 'a', 'noncommutative', 'deformation', 'of', 'general', 'relativity', 'where', 'the', 'gravitational', 'field', 'is', 'described', 'by', 'a', 'matrixvalued', 'symmetric', 'twotensor', 'field', 'the', 'equations', 'of', 'motion', 'are', 'derived', 'in', 'the', 'framework', 'of', 'this', 'new', 'theory', 'by', 'varying', 'a', 'diffeomorphisms', 'and', 'gauge', 'invariant', 'action', 'constructed', 'by', 'using', 'a', 'matrixvalued', 'scalar', 'curvature', 'interestingly', 'the', 'genuine', 'noncommutative', 'part', 'of', 'the', 'dynamical', 'equations', 'is', 'described', 'only', 'in', 'terms', 'of', 'a', 'particular', 'tensor', 'density', 'that', 'vanishes', 'identically', 'in', 'the', 'commutative', 'limit', 'a', 'noncommutative', 'generalization', 'of', 'the', 'energymomentum', 'tensor', 'for', 'the', 'matter', 'field', 'is', 'studied', 'as', 'well']] | [-0.18822651340239002, 0.17090371669678206, -0.08218978692808848, 0.07375001752215406, -0.06508666288965706, -0.10818720876443294, -0.1219330093355096, 0.24839991573348977, -0.2479093052718914, -0.2198393519423651, 0.07627114149862167, -0.19788547027646824, -0.20594471638886194, 0.12220433275895508, -0.06421553644383055, 0.01180841694481336, -0.035873354038516624, 0.10350620148054669, -0.13351846874293902, -0.2001627152681016, 0.4104992213993846, 0.02090898012281971, 0.214790531162047, 0.005775956792777844, 0.15051201167202483, 0.044873798381160485, -0.05574854494731748, 0.0943382778675871, -0.10752904359449102, 0.08464645555640539, 0.21815566405434203, 0.049885460552288576, 0.21257176424711524, -0.368324602195428, -0.23595658472079908, 0.0785870717817478, 0.09811497435203931, 0.09104573978320434, -0.053146430249378256, -0.3474291569731209, 0.06821111192026835, -0.22128096796321065, -0.17587565179793896, -0.09349615045226692, 0.03114773197429192, -0.014901544707774949, -0.26897228958106106, 0.11198098951521633, 0.0714329661787723, 0.05253244335635623, -0.10081744295011243, -0.046469685702657935, -0.013379056082536162, 0.03931267797067929, 0.07209021305885124, 0.06539156084116339, 0.15872150272905325, -0.14629546632163562, -0.08671545464508863, 0.40537623976346815, -0.16170356359222926, -0.30025867605058665, 0.06366669079236519, -0.15725486839106412, -0.13463686867041535, 0.08489396880391274, 0.12932140350844082, 0.19645399498763713, -0.16587466049646393, 0.2408144412285274, -0.0775488659940932, 0.08547562654156321, 0.08527109041035677, 0.011551869094628171, 0.21496363854810094, 0.05219911107678343, 0.027612700388672647, 0.13846743909453743, 0.0316029743898367, -0.17899860602311707, -0.4122012114005812, -0.15746162319032664, -0.2090332823952011, 0.1380185547776604, -0.1306997091518231, -0.18576688668429014, 0.4006899765200829, 0.0660644941387719, 0.1382660675608145, 0.06134390712747078, 0.24944639587879516, 0.16226654112590164, 0.06181695968896318, 0.035557553956933906, 0.25295920934779254, 0.26909192095594375, 0.08356431382969859, -0.1762447890039439, -0.06785534352608276, 0.1373790591050023] |
709.0016 | Generalized Parton Distributions from Hadronic Observables | We propose a physically motivated parametrization for the unpolarized
generalized parton distributions, H and E, valid at both zero and non-zero
values of the skewness variable, \zeta. At \zeta=0, H and E are determined
using constraints from simultaneous fits of experimental data on both the
nucleon elastic form factors and the deep inelastic structure functions.
Lattice calculations of the higher moments constrain the parametrization at
\zeta > 0. Our method provides a step towards a model independent extraction of
generalized distributions from the data that is alternative to the mathematical
ansatz of double distributions.
| hep-ph | we propose a physically motivated parametrization for the unpolarized generalized parton distributions h and e valid at both zero and nonzero values of the skewness variable zeta at zeta0 h and e are determined using constraints from simultaneous fits of experimental data on both the nucleon elastic form factors and the deep inelastic structure functions lattice calculations of the higher moments constrain the parametrization at zeta 0 our method provides a step towards a model independent extraction of generalized distributions from the data that is alternative to the mathematical ansatz of double distributions | [['we', 'propose', 'a', 'physically', 'motivated', 'parametrization', 'for', 'the', 'unpolarized', 'generalized', 'parton', 'distributions', 'h', 'and', 'e', 'valid', 'at', 'both', 'zero', 'and', 'nonzero', 'values', 'of', 'the', 'skewness', 'variable', 'zeta', 'at', 'zeta0', 'h', 'and', 'e', 'are', 'determined', 'using', 'constraints', 'from', 'simultaneous', 'fits', 'of', 'experimental', 'data', 'on', 'both', 'the', 'nucleon', 'elastic', 'form', 'factors', 'and', 'the', 'deep', 'inelastic', 'structure', 'functions', 'lattice', 'calculations', 'of', 'the', 'higher', 'moments', 'constrain', 'the', 'parametrization', 'at', 'zeta', '0', 'our', 'method', 'provides', 'a', 'step', 'towards', 'a', 'model', 'independent', 'extraction', 'of', 'generalized', 'distributions', 'from', 'the', 'data', 'that', 'is', 'alternative', 'to', 'the', 'mathematical', 'ansatz', 'of', 'double', 'distributions']] | [-0.08241618013069514, 0.11241613918294509, -0.1589193497884578, 0.09491996764160332, -0.067406206266574, -0.12266147011009756, 0.0759166071231487, 0.3454463123894667, -0.25364907551556826, -0.258997043414462, -0.00662035171082744, -0.297506126259724, -0.043453157436282884, 0.15932361198769462, 0.08947331717673057, 0.0779707821936319, 0.04507258074027636, -0.00939552855467604, -0.10427088641451411, -0.17279037674738756, 0.3432431723271567, 0.05270914877583373, 0.2753273053595456, 0.07703722420559135, 0.11444883507936793, 0.059711758683245346, -0.07750976521782177, -0.05778471035982973, -0.18534363267271373, 0.13743973024670156, 0.20975835556514882, 0.08395978476235991, 0.16479943790573187, -0.36622814046249036, -0.18931681746917386, 0.07545653836280909, 0.11494094505155038, 0.057416227320709855, 0.032041112415402404, -0.22191285276885636, 0.03910454618337724, -0.1784649018213273, -0.16381777045867776, -0.14170000151360548, 0.02621631908621038, 0.02072998681055602, -0.3606120030206668, 0.11256517525461893, 0.0017601596839320395, 0.02829251349432662, -0.08122761279184332, -0.24769755274618185, -0.0279109900997531, 0.03954431649437675, 0.05121737379725942, 0.06159878809065107, 0.09950496352487995, -0.16430375861537252, -0.08126857264157665, 0.35115964862928595, -0.07924911480957783, -0.21977300461856097, 0.08930189984660315, -0.1895934586383162, -0.17195372168795878, 0.12889351205079144, 0.15832201048972144, 0.13017819049738108, -0.13479511645154388, 0.10357026053061809, -0.04330792283496609, 0.08875221314449463, 0.0664235954072767, -0.020736359399042382, 0.20206871344858118, 0.11029285881468044, -0.014652651804749684, 0.09097859835232137, -0.12317090311528293, -0.06922946696079546, -0.3850401365148124, -0.074700918128734, -0.1874468906041515, 0.0557432511360735, -0.13297671199242975, -0.1366924767292315, 0.3739432034267974, 0.0800612652298784, 0.2754350319825193, 0.06970794963580305, 0.2752221292185207, 0.13470854173209118, 0.05829735791250583, 0.038993324190678615, 0.17287254297444898, 0.17438895025000137, 0.05743985572299089, -0.19484161289649143, 0.07961013791481814, 0.029959579373920155] |
709.0017 | Brownian motion of a charged particle driven internally by correlated
noise | We give an exact solution to the generalized Langevin equation of motion of a
charged Brownian particle in a uniform magnetic field that is driven internally
by an exponentially-correlated stochastic force. A strong dissipation regime is
described in which the ensemble-averaged fluctuations of the velocity exhibit
transient oscillations that arise from memory effects. Also, we calculate
generalized diffusion coefficients describing the transport of these particles
and briefly discuss how they are affected by the magnetic field strength and
correlation time. Our asymptotic results are extended to the general case of
internal driving by correlated Gaussian stochastic forces with finite
autocorrelation times.
| cond-mat.stat-mech | we give an exact solution to the generalized langevin equation of motion of a charged brownian particle in a uniform magnetic field that is driven internally by an exponentiallycorrelated stochastic force a strong dissipation regime is described in which the ensembleaveraged fluctuations of the velocity exhibit transient oscillations that arise from memory effects also we calculate generalized diffusion coefficients describing the transport of these particles and briefly discuss how they are affected by the magnetic field strength and correlation time our asymptotic results are extended to the general case of internal driving by correlated gaussian stochastic forces with finite autocorrelation times | [['we', 'give', 'an', 'exact', 'solution', 'to', 'the', 'generalized', 'langevin', 'equation', 'of', 'motion', 'of', 'a', 'charged', 'brownian', 'particle', 'in', 'a', 'uniform', 'magnetic', 'field', 'that', 'is', 'driven', 'internally', 'by', 'an', 'exponentiallycorrelated', 'stochastic', 'force', 'a', 'strong', 'dissipation', 'regime', 'is', 'described', 'in', 'which', 'the', 'ensembleaveraged', 'fluctuations', 'of', 'the', 'velocity', 'exhibit', 'transient', 'oscillations', 'that', 'arise', 'from', 'memory', 'effects', 'also', 'we', 'calculate', 'generalized', 'diffusion', 'coefficients', 'describing', 'the', 'transport', 'of', 'these', 'particles', 'and', 'briefly', 'discuss', 'how', 'they', 'are', 'affected', 'by', 'the', 'magnetic', 'field', 'strength', 'and', 'correlation', 'time', 'our', 'asymptotic', 'results', 'are', 'extended', 'to', 'the', 'general', 'case', 'of', 'internal', 'driving', 'by', 'correlated', 'gaussian', 'stochastic', 'forces', 'with', 'finite', 'autocorrelation', 'times']] | [-0.16295163261005655, 0.23994732394610765, -0.08916636833455413, 0.08970843279268592, -0.03076824251562357, -0.09993732462171465, -0.035652720995713025, 0.3417182011716068, -0.31065267440862954, -0.2590164066432044, 0.051846433433238415, -0.25694641708396376, -0.15959165377542375, 0.19301328923203984, 0.0019525496754795313, -0.006185236144810915, 0.012448443886823953, 0.02127750632818788, -0.017044258422683926, -0.19242688073543832, 0.28724689966533334, 0.06114181197015569, 0.23102252373471857, 0.023796290336176754, 0.13362622222397477, 0.0027340819768141957, -0.03452254627947696, 0.10062144414521754, -0.15741493375477147, 0.04661223326344043, 0.14713648946490138, -0.012726067965850234, 0.22893889790400862, -0.4719757192581892, -0.2192906436184421, 0.08622875261586159, 0.15201864080445376, 0.1282357824256178, -0.06576300843153149, -0.2993351395591162, 0.00453772277571261, -0.13745140669401734, -0.19527289635967462, -0.10432926888111979, 0.046478853265289215, 0.1313393043819815, -0.28723638094961645, 0.17882274940347997, 0.09489780202042311, 0.024018579906260128, -0.08003679565270432, -0.05521794109256007, 0.008487551473081112, 0.07711915596853941, 0.07773018471547402, 0.017756703994236886, 0.2036791712557897, -0.14891610704828054, -0.10908087795076427, 0.34524180359207096, -0.13109573670197278, -0.2512448856700212, 0.15930207840166985, -0.16166852257680148, -0.0848387962160632, 0.16105149469338356, 0.16842906994745135, 0.09475978167960421, -0.2031932511134073, 0.07360734701047476, -0.009072826253250241, 0.11866935327649117, 0.02609049709048122, 0.028979910684865898, 0.1894070674199611, 0.11170839265512768, 0.029802305181510745, 0.15744954002322628, -0.09612790328916163, -0.16263804860878736, -0.31112883051857354, -0.1099362048250623, -0.16920838632620872, 0.08997304630465805, -0.11874364996765507, -0.18626152747543528, 0.3662947506038472, 0.17758761325851083, 0.15110117450356483, 0.04763211350538768, 0.25840127521194517, 0.21199340393417515, -0.010663417875766754, 0.09102419313043356, 0.2490519240871072, 0.18998721949290484, 0.11069091483019293, -0.285359060743358, 0.038754346328787506, 0.05340822799596936] |
709.0018 | Arithmetical and geometrical means of generalized logarithmic and
exponential functions: generalized sum and product operators | One-parameter generalizations of the logarithmic and exponential functions
have been obtained as well as algebraic operators to retrieve extensivity.
Analytical expressions for the successive applications of the sum or product
operators on several values of a variable are obtained here. Applications of
the above formalism are considered.
| cond-mat.stat-mech cond-mat.dis-nn | oneparameter generalizations of the logarithmic and exponential functions have been obtained as well as algebraic operators to retrieve extensivity analytical expressions for the successive applications of the sum or product operators on several values of a variable are obtained here applications of the above formalism are considered | [['oneparameter', 'generalizations', 'of', 'the', 'logarithmic', 'and', 'exponential', 'functions', 'have', 'been', 'obtained', 'as', 'well', 'as', 'algebraic', 'operators', 'to', 'retrieve', 'extensivity', 'analytical', 'expressions', 'for', 'the', 'successive', 'applications', 'of', 'the', 'sum', 'or', 'product', 'operators', 'on', 'several', 'values', 'of', 'a', 'variable', 'are', 'obtained', 'here', 'applications', 'of', 'the', 'above', 'formalism', 'are', 'considered']] | [-0.08819471034122274, 0.0805266242712102, -0.053413486514399026, 0.12149063517597128, -0.04885947233700055, -0.11638506885340556, 0.02743842611597118, 0.3258354111792559, -0.25178645860324517, -0.2723240448518636, 0.1803824924170337, -0.29715113167433027, -0.1574618073150595, 0.27122858915220394, -0.014351772837974924, 0.12963086304018284, -0.02963830277006677, 0.08599468344386588, -0.1632293301307537, -0.22620681374076199, 0.3335369484340574, -0.008721339694680051, 0.22387774214346676, 0.07860448376889875, 0.09564728753522356, -0.0019645964865513304, -0.06203778414055705, 0.007114174339841021, -0.12968096761231093, 0.11690468073202089, 0.24029957671015661, 0.1063844327309585, 0.2234415756736664, -0.41001454130944576, -0.24003067785041762, 0.10466006295161044, 0.17958366111951304, 0.06217593968935073, 0.007604076584028278, -0.2615755181759596, 0.05943700908980471, -0.2256523413940313, -0.15541468695440191, -0.15167327647275747, 0.04019962779266086, 0.13041564775630832, -0.2887403108278646, 0.06942501242094218, 0.04212361885522036, 0.058477983061977205, -0.09047799029863103, -0.1992753356511883, 0.007605906085487693, 0.13337882497704567, 0.0654306697480856, -0.03893794742551573, 0.10969374729122253, -0.09068504015498972, -0.16239580727539005, 0.3497539022144802, -0.042979399217887126, -0.2302082918108778, 0.13424419776160032, -0.11402395005248725, -0.1245788847234972, 0.04960932749065947, 0.1446258749793026, 0.16760161652804373, -0.15145813953131437, 0.12180144862801906, -0.0516851128653643, 0.02356137386820418, 0.13885222428894423, 0.12839535449413544, 0.116959135662368, 0.022063051350414753, 0.0342114530751442, 0.18341897855057043, 0.03561295115666345, -0.16589223379467397, -0.3601471978299161, -0.13764753507673455, -0.18484547250765435, 0.05062121327253098, -0.12176990774528253, -0.20590256217946398, 0.3882150763368353, 0.04119294025796525, 0.22316307242603062, 0.09463180601596832, 0.2685430043555321, 0.2192022828732003, 0.10444700095723285, -0.00974048281963444, 0.18573268115064723, 0.19397783501351135, 0.06340126695230286, -0.11810983585173938, 0.05144664577822736, 0.13332326450642754] |
709.0019 | Strongly Correlated Superconductivity: a plaquette Dynamical mean field
theory study | We use cluster Dynamical Mean Field Theory to study the simplest models of
correlated electrons, the Hubbard model and the t-J model. We use a plaquette
embedded in a medium as a reference frame to compute and interpret the physical
properties of these models. We study various observables such as electronic
lifetimes, one electron spectra, optical conductivities, superconducting
stiffness, and the spin response in both the normal and the superconducting
state in terms of correlation functions of the embedded cluster. We find that
the shortest electron lifetime occurs near optimal doping where the
superconducting critical temperature is maximal. A second critical doping
connected to the change of topology of the Fermi surface is also identified.
The mean field theory provides a simple physical picture of three doping
regimes, the underdoped, the overdoped and the optimally doped regime in terms
of the physics of the quantum plaquette impurity model. We compare the
plaquette Dynamical Mean Field Theory results with earlier resonating valence
bond mean field theories, noting the improved description of the momentum space
anisotropy of the normal state properties and the doping dependence of the
coefficient of the linear temperature dependence of the superfluid density in
the superconducting state.
| cond-mat.str-el | we use cluster dynamical mean field theory to study the simplest models of correlated electrons the hubbard model and the tj model we use a plaquette embedded in a medium as a reference frame to compute and interpret the physical properties of these models we study various observables such as electronic lifetimes one electron spectra optical conductivities superconducting stiffness and the spin response in both the normal and the superconducting state in terms of correlation functions of the embedded cluster we find that the shortest electron lifetime occurs near optimal doping where the superconducting critical temperature is maximal a second critical doping connected to the change of topology of the fermi surface is also identified the mean field theory provides a simple physical picture of three doping regimes the underdoped the overdoped and the optimally doped regime in terms of the physics of the quantum plaquette impurity model we compare the plaquette dynamical mean field theory results with earlier resonating valence bond mean field theories noting the improved description of the momentum space anisotropy of the normal state properties and the doping dependence of the coefficient of the linear temperature dependence of the superfluid density in the superconducting state | [['we', 'use', 'cluster', 'dynamical', 'mean', 'field', 'theory', 'to', 'study', 'the', 'simplest', 'models', 'of', 'correlated', 'electrons', 'the', 'hubbard', 'model', 'and', 'the', 'tj', 'model', 'we', 'use', 'a', 'plaquette', 'embedded', 'in', 'a', 'medium', 'as', 'a', 'reference', 'frame', 'to', 'compute', 'and', 'interpret', 'the', 'physical', 'properties', 'of', 'these', 'models', 'we', 'study', 'various', 'observables', 'such', 'as', 'electronic', 'lifetimes', 'one', 'electron', 'spectra', 'optical', 'conductivities', 'superconducting', 'stiffness', 'and', 'the', 'spin', 'response', 'in', 'both', 'the', 'normal', 'and', 'the', 'superconducting', 'state', 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709.002 | Real Space Multiple Scattering Calculations of Relativistic Electron
Energy Loss Spectra | {\it Ab initio} calculations of relativistic electron energy loss spectra
(REELS) are carried out using a generalization of the real-space Green's
function code FEFF8 which is applicable to general aperiodic materials. Our
approach incorporates relativistic effects in terms of the cross-section tensor
within the dipole selection rule. In particular the approach explains
relativistic corrections to the magic angle in polarized EELS experiments. Our
generalization includes instrumental effects, such as the integral of the cross
section over the impulse transfer dependence, to account for a finite detector
aperture and electron beam width. The approach is illustrated with an
application to the graphite C K edge.
| cond-mat.mtrl-sci cond-mat.other | it ab initio calculations of relativistic electron energy loss spectra reels are carried out using a generalization of the realspace greens function code feff8 which is applicable to general aperiodic materials our approach incorporates relativistic effects in terms of the crosssection tensor within the dipole selection rule in particular the approach explains relativistic corrections to the magic angle in polarized eels experiments our generalization includes instrumental effects such as the integral of the cross section over the impulse transfer dependence to account for a finite detector aperture and electron beam width the approach is illustrated with an application to the graphite c k edge | [['it', 'ab', 'initio', 'calculations', 'of', 'relativistic', 'electron', 'energy', 'loss', 'spectra', 'reels', 'are', 'carried', 'out', 'using', 'a', 'generalization', 'of', 'the', 'realspace', 'greens', 'function', 'code', 'feff8', 'which', 'is', 'applicable', 'to', 'general', 'aperiodic', 'materials', 'our', 'approach', 'incorporates', 'relativistic', 'effects', 'in', 'terms', 'of', 'the', 'crosssection', 'tensor', 'within', 'the', 'dipole', 'selection', 'rule', 'in', 'particular', 'the', 'approach', 'explains', 'relativistic', 'corrections', 'to', 'the', 'magic', 'angle', 'in', 'polarized', 'eels', 'experiments', 'our', 'generalization', 'includes', 'instrumental', 'effects', 'such', 'as', 'the', 'integral', 'of', 'the', 'cross', 'section', 'over', 'the', 'impulse', 'transfer', 'dependence', 'to', 'account', 'for', 'a', 'finite', 'detector', 'aperture', 'and', 'electron', 'beam', 'width', 'the', 'approach', 'is', 'illustrated', 'with', 'an', 'application', 'to', 'the', 'graphite', 'c', 'k', 'edge']] | [-0.0673757102815163, 0.07826785331050011, -0.11295013637417584, 0.10691183137942503, -0.04170203318105088, -0.10394152357848813, 0.017987372118581847, 0.4189351516802913, -0.23253985941952582, -0.2840975154986949, -0.02526164703970793, -0.3091345278962145, -0.09682959256675637, 0.20951830183418052, 0.04622321180463543, 0.08774682774109024, 0.0767130980480607, -0.0460258654852226, -0.09163305184406056, -0.18928335336244945, 0.28044897055669316, 0.1386606452480248, 0.2674491863010578, 0.13812368913797787, 0.09881262483247058, 0.11310240785247709, -0.047632501107975116, 0.05583830789925115, -0.09310748734176882, 0.07674687002894008, 0.25653882099324565, 0.018565971006467504, 0.19539158552595712, -0.3940281277721368, -0.23440968927936356, -0.012822285186029176, 0.08961707363085984, 0.12450470731851364, -0.021779735086630416, -0.23469334036943693, 0.024698177983224826, -0.21115472655346645, -0.14385897441862097, -0.08416846375098651, -0.005065737133936107, 0.01446688377741471, -0.30174753986733055, 0.05962014810218322, 0.021689407884604432, 0.04445045816030261, -0.07487756329886977, -0.17414048428362397, -0.009589913088683654, 0.02819274510573415, 0.029048318002662322, 0.03489338876597597, 0.16517928802155102, -0.08126904053197613, -0.10303104264679754, 0.4253561156033312, -0.06368719676997765, -0.18965853847454764, 0.08329778596153031, -0.16124564987037657, -0.060966781211691426, 0.19420657586306334, 0.16335683607143683, 0.14728438415795167, -0.1420973402276201, 0.09589149311887896, -0.03539251511717595, 0.13968755807546737, 0.04143030140820204, 0.03233403155356374, 0.19164599371775623, 0.16642564971641935, -0.009615793772204553, 0.12230271426508728, -0.16721250393509285, -0.07777303102815035, -0.3478903592139193, -0.12097414014680148, -0.1860413369225356, 0.058627571838284, -0.036281908118449724, -0.17504580259250785, 0.3791995262365463, 0.12335138994911053, 0.13407110397588662, -0.004666422962807842, 0.33664772070003945, 0.12849996318629248, 0.0987404687386639, 0.023261121632440866, 0.23582676522325255, 0.1981616640820629, 0.0516718928736083, -0.2949438770166011, 0.010469325980876834, 0.05633953833009921] |
709.0021 | Methods for Producing Decoherence-Free States and Noiseless Subsystems
Using Photonic Qutrits | We outline a proposal for a method of preparing an encoded two-state system
(logical qubit) that is immune to collective noise acting on the Hilbert space
of the states supporting it. The logical qubit is comprised of three photonic
three-state systems (qutrits) and is generated by the process of spontaneous
parametric down conversion. The states are constructed using linear optical
elements along with three down-conversion sources, and are deemed successful by
the simultaneous detection of six events. We also show how to select a
maximally entangled state of two qutrits by similar methods. For this maximally
entangled state we describe conditions for the state to be decoherence-free
which do not correspond to collective errors.
| quant-ph | we outline a proposal for a method of preparing an encoded twostate system logical qubit that is immune to collective noise acting on the hilbert space of the states supporting it the logical qubit is comprised of three photonic threestate systems qutrits and is generated by the process of spontaneous parametric down conversion the states are constructed using linear optical elements along with three downconversion sources and are deemed successful by the simultaneous detection of six events we also show how to select a maximally entangled state of two qutrits by similar methods for this maximally entangled state we describe conditions for the state to be decoherencefree which do not correspond to collective errors | [['we', 'outline', 'a', 'proposal', 'for', 'a', 'method', 'of', 'preparing', 'an', 'encoded', 'twostate', 'system', 'logical', 'qubit', 'that', 'is', 'immune', 'to', 'collective', 'noise', 'acting', 'on', 'the', 'hilbert', 'space', 'of', 'the', 'states', 'supporting', 'it', 'the', 'logical', 'qubit', 'is', 'comprised', 'of', 'three', 'photonic', 'threestate', 'systems', 'qutrits', 'and', 'is', 'generated', 'by', 'the', 'process', 'of', 'spontaneous', 'parametric', 'down', 'conversion', 'the', 'states', 'are', 'constructed', 'using', 'linear', 'optical', 'elements', 'along', 'with', 'three', 'downconversion', 'sources', 'and', 'are', 'deemed', 'successful', 'by', 'the', 'simultaneous', 'detection', 'of', 'six', 'events', 'we', 'also', 'show', 'how', 'to', 'select', 'a', 'maximally', 'entangled', 'state', 'of', 'two', 'qutrits', 'by', 'similar', 'methods', 'for', 'this', 'maximally', 'entangled', 'state', 'we', 'describe', 'conditions', 'for', 'the', 'state', 'to', 'be', 'decoherencefree', 'which', 'do', 'not', 'correspond', 'to', 'collective', 'errors']] | [-0.12309931895058406, 0.22628676474695358, -0.02332383135676776, 0.01743014738137087, 0.009668764227331338, -0.1965795118369881, 0.06112395793101505, 0.41414538444134225, -0.218386327075821, -0.24623299438686094, 0.08130810236182522, -0.26748877138781707, -0.09909485784571684, 0.22114207375929446, -0.03544908923325701, 0.08845325352689415, 0.06680161077039022, 0.009753328680649008, -0.040891936586009696, -0.24684891694127337, 0.36143000224572525, -0.007604238552678572, 0.31767876318802957, -0.07560827587567792, 0.14839586171141841, 0.0005877972519221274, 0.02812954276113918, -0.06939568979233675, -0.03414628673335915, 0.12971730106163018, 0.2745696414944209, 0.1705228264255678, 0.23632324867669427, -0.4407521145614354, -0.18509651365967697, 0.10356759565081775, 0.11437316173524187, 0.20562743921988857, 0.00033261632983850545, -0.3482580842417583, 0.018183147649101, -0.18941432468821867, -0.09817252668813524, -0.15566054937478743, -0.002511950983286002, -0.04152917600514596, -0.2558686589421868, 0.05176054541478056, 0.08297735675857934, 0.01751764923162562, -0.01864682218844169, -0.019231063635456132, -0.04176221564085337, 0.10717766231595817, -0.08725749431489435, -0.020547381922880418, 0.15783514267470883, -0.09744662419165763, -0.20948261860758066, 0.3207872409057975, -0.02791569403039798, -0.2402865386224891, 0.17731499474234225, -0.08351511053593927, -0.10907149913091735, 0.10640484891962587, 0.13675434161957942, 0.10604041361601271, -0.1721602872447029, -0.015206883715571868, -0.01721900424627963, 0.2189812196026507, 0.039165716894019986, 0.12730074236006067, 0.19950592251527205, 0.13328887202793308, 0.0640675785988079, 0.20508629458511182, -0.0653193659300246, -0.1126376575251159, -0.333853781419365, -0.157942414112193, -0.1974589500490478, 0.07043371878969258, -0.005600176285697033, -0.1273333577417744, 0.43548394954894065, 0.12058636693185881, 0.16743681420318848, -0.030797289121740807, 0.24645212389275498, 0.11664591893030886, 0.03840741249650978, 0.05517006227991691, 0.25606092201186376, 0.11917651965683163, -0.007676591849559101, -0.25166773046989793, 0.024925228902710636, 0.01942893935432821] |
709.0022 | Critical Metallicities for Second-Generation Stars | The first massive stars may influence the formation of second-generation
stars, in part by their metal enrichment of the surrounding gas. We investigate
the "critical metallicity", defined as the the value, Z_crit, at which
primordial gas cools more efficiently by fine-structure lines of O I (63.18
microns, Si II 34.8 microns, Fe II (25.99 and 35.35 microns), and C II (157.74
microns) than by either H I or H2 line emission. We explore the time-dependent
thermodynamics and fragmentation of cooling gas at redshifts z = 10-30, seeded
by trace heavy elements expelled from early supernovae. Because different modes
of nucleosynthesis (alpha-process, Fe-group) produce abundance ratios far from
solar values, these early stellar populations are likely to be influenced by O,
Si, and Fe cooling. Our models also include radiative coupling of the fine
structure lines and H2 to the cosmic microwave background (CMB), which sets a
temperature floor (70-80K at z = 25-30) that may increase the Jeans mass. The
H2 forms from catalytic effects of electrons left over from the recombination
epoch or produced during virialization. These electrons form the H^- ion (H + e
-> H- + gamma), which in turn forms H2 through associative detachment (H- + H
-> H2 + e). In virialized halos at z = 10-30, the gas densities (n = 1-100
cm^{-3}) are well below the critical densities, n_cr = 10^{5-6} cm^{-3}, at
which (O, Si, Fe) fine-structure lines reach LTE populations and produce their
most efficient cooling. Thus, Z_crit may initially exceed 0.01 Z_sun at n =
1-100 cm^{-3}, and then drop to 10^{-3.5} Z_sun at n = 10^6 cm^{-3}, where the
Jeans mass may be imprinted on the stellar mass function. Primordial clouds of
10^8 M_sun at 0.01 Z_sun and 200K will produce redshifted fine structure lines,
with fluxes between 10^{-22} and 10^{-21} Watts/m^2 at z = 4.
| astro-ph | the first massive stars may influence the formation of secondgeneration stars in part by their metal enrichment of the surrounding gas we investigate the critical metallicity defined as the the value z_crit at which primordial gas cools more efficiently by finestructure lines of o i 6318 microns si ii 348 microns fe ii 2599 and 3535 microns and c ii 15774 microns than by either h i or h2 line emission we explore the timedependent thermodynamics and fragmentation of cooling gas at redshifts z 1030 seeded by trace heavy elements expelled from early supernovae because different modes of nucleosynthesis alphaprocess fegroup produce abundance ratios far from solar values these early stellar populations are likely to be influenced by o si and fe cooling our models also include radiative coupling of the fine structure lines and h2 to the cosmic microwave background cmb which sets a temperature floor 7080k at z 2530 that may increase the jeans mass the h2 forms from catalytic effects of electrons left over from the recombination epoch or produced during virialization these electrons form the h ion h e h gamma which in turn forms h2 through associative detachment h h h2 e in virialized halos at z 1030 the gas densities n 1100 cm3 are well below the critical densities n_cr 1056 cm3 at which o si fe finestructure lines reach lte populations and produce their most efficient cooling thus z_crit may initially exceed 001 z_sun at n 1100 cm3 and then drop to 1035 z_sun at n 106 cm3 where the jeans mass may be imprinted on the stellar mass function primordial clouds of 108 m_sun at 001 z_sun and 200k will produce redshifted fine structure lines with fluxes between 1022 and 1021 wattsm2 at z 4 | [['the', 'first', 'massive', 'stars', 'may', 'influence', 'the', 'formation', 'of', 'secondgeneration', 'stars', 'in', 'part', 'by', 'their', 'metal', 'enrichment', 'of', 'the', 'surrounding', 'gas', 'we', 'investigate', 'the', 'critical', 'metallicity', 'defined', 'as', 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709.0023 | A note on the Verlinde bundles on elliptic curves | We study the splitting properties of the Verlinde bundles over elliptic
curves. Our methods rely on the explicit description of the moduli space of
semistable vector bundles on elliptic curves, and on the analysis of the
symmetric powers of the Schrodinger representation of the Theta group.
| math.AG | we study the splitting properties of the verlinde bundles over elliptic curves our methods rely on the explicit description of the moduli space of semistable vector bundles on elliptic curves and on the analysis of the symmetric powers of the schrodinger representation of the theta group | [['we', 'study', 'the', 'splitting', 'properties', 'of', 'the', 'verlinde', 'bundles', 'over', 'elliptic', 'curves', 'our', 'methods', 'rely', 'on', 'the', 'explicit', 'description', 'of', 'the', 'moduli', 'space', 'of', 'semistable', 'vector', 'bundles', 'on', 'elliptic', 'curves', 'and', 'on', 'the', 'analysis', 'of', 'the', 'symmetric', 'powers', 'of', 'the', 'schrodinger', 'representation', 'of', 'the', 'theta', 'group']] | [-0.22601603289418246, 0.015026609987810092, -0.16494969875835205, 0.03891123019401794, -0.12716696164368288, -0.0500584469055352, -0.00840985847880011, 0.34893700124129007, -0.2692887583929721, -0.18689101395885582, 0.11761129925877828, -0.2609723818630142, -0.14743492719919785, 0.2830903990113217, -0.0674382311332485, 0.0418708650800197, 0.029886479327536148, 0.10187766271764817, -0.15626541415796333, -0.2904155693730623, 0.507957749068737, -0.06087596060546196, 0.3008922768108871, 0.028245996278913124, 0.11418374782711592, 0.10508072369671224, -0.06421951374605946, -0.10044570829094206, -0.12986256360359813, 0.26241554044511006, 0.23683973883643097, 0.009698884814734693, 0.1399983031594235, -0.3615565585863331, -0.21806716613228555, 0.2088296807816495, 0.0770443117691447, -0.008057373677096937, 0.022868413298451545, -0.26096731715876126, 0.036780025982095496, -0.10258375918087752, -0.15849228468521134, -0.12275528011884054, 0.03734799766022226, 0.09344674101727002, -0.18254866668671046, -0.00666466843255836, 0.07228365479766027, 0.1599063080047136, -0.14448909019120038, -0.1286485627617525, -0.09257624899138413, 0.02038177157215693, 0.058078926380561745, -0.029872627690960857, 0.07534242278653318, -0.17120271127509035, -0.11457780268772141, 0.3736691137208887, -0.11516040792364789, -0.22328836470842361, 0.05740118291957871, -0.1232291781545981, -0.08996557903921475, 0.1623892069733499, 0.21924113964095063, 0.2538089479279259, 0.08514990971383193, 0.17187105811519912, -0.13172908572723036, 0.10580523138734228, 0.033544356853741665, -0.02828312926399319, 0.1262198458628162, 0.07965659133523055, 0.012712970416506996, 0.06802267006740136, -0.04174127320900722, -0.1316299569494415, -0.420965353431909, -0.23245458302857436, -0.0789379536619653, 0.14078121857322834, -0.14551804727924048, -0.1690414264575457, 0.5017799649934244, 0.033501098084303994, 0.2567814029145824, 0.09089222987708838, 0.2297411920381305, 0.09126171134488212, 0.050026481728190964, 0.010839896418316208, 0.2083538340698199, 0.2322039105726973, 0.002020685019923131, -0.23703653690324206, -0.04773349056283579, 0.24222408714906676] |
709.0024 | Population Dynamics of Children and Adolescents without Problematic
Behavior | In this work we suggest a simple mathematical model for the dynamics of the
population of children and adolescents without problematic behavior (criminal
activities etc.). This model represents a typical population growth equation
but with time dependent (linearly decreasing) population growth coefficient.
Given equation admits definition of the half-life time of the non-problematic
children behavior as well as a criterion for estimation of the social
regulation of the children behavior.
| q-bio.PE | in this work we suggest a simple mathematical model for the dynamics of the population of children and adolescents without problematic behavior criminal activities etc this model represents a typical population growth equation but with time dependent linearly decreasing population growth coefficient given equation admits definition of the halflife time of the nonproblematic children behavior as well as a criterion for estimation of the social regulation of the children behavior | [['in', 'this', 'work', 'we', 'suggest', 'a', 'simple', 'mathematical', 'model', 'for', 'the', 'dynamics', 'of', 'the', 'population', 'of', 'children', 'and', 'adolescents', 'without', 'problematic', 'behavior', 'criminal', 'activities', 'etc', 'this', 'model', 'represents', 'a', 'typical', 'population', 'growth', 'equation', 'but', 'with', 'time', 'dependent', 'linearly', 'decreasing', 'population', 'growth', 'coefficient', 'given', 'equation', 'admits', 'definition', 'of', 'the', 'halflife', 'time', 'of', 'the', 'nonproblematic', 'children', 'behavior', 'as', 'well', 'as', 'a', 'criterion', 'for', 'estimation', 'of', 'the', 'social', 'regulation', 'of', 'the', 'children', 'behavior']] | [-0.09065553926241894, 0.13035794289148264, -0.10617803423193053, 0.08480010766272797, -0.09382504302387436, -0.15684380053637037, 0.09110474883430246, 0.3155193774272566, -0.2500411021874111, -0.3164060766187807, 0.10069948586507066, -0.29480639375422313, -0.1948737499938495, 0.15868662400981007, -0.07902091149024773, 0.01349751435328221, 0.04341459700810737, 0.08323963643794043, 0.016425643662881594, -0.22167683472735403, 0.2691416409764223, 0.055240329408991165, 0.29344172037436045, 0.021731685229536633, 0.1031759836898899, 0.014882208752301201, -0.007691541254736375, -0.0063725327533008394, -0.12652406877959552, 0.06981445192966772, 0.24120126795563576, 0.18182550583952578, 0.3497252616005531, -0.39333185650732205, -0.23796631121819, 0.10465255271697389, 0.15839081844719854, 0.11795048801012445, -0.053030297511081764, -0.24686477275268323, 0.02263391482815875, -0.21809604341515165, -0.20608907800329768, 0.022849217408161232, 0.07345883834405222, 0.020555149762135377, -0.2372144370785226, 0.17227209559169368, 0.03731856236961481, 0.13962643318202184, -0.12002748076507039, -0.09924609254559745, -0.019889894788544894, 0.1711749623291721, 0.11562918656694608, -0.03632116298177752, 0.15222423227395918, -0.18469384498894215, -0.10106076135475567, 0.3527682453285957, -0.04042084847131501, -0.16534338065463564, 0.16714009606157956, -0.17199318691332272, -0.1390764180543846, 0.059577563804560814, 0.2120971320790873, 0.1355420505169077, -0.17818717115923113, 0.028614211165298963, -0.019394316174008924, 0.18407584395279866, 0.018290003221751987, -0.002264739108690317, 0.1296530258976787, 0.2631217447527941, 0.04177175230090169, 0.10120031400246249, -0.009152038346814073, -0.10622983787586723, -0.24697748811888523, -0.13922588404376005, -0.11702493661879629, 0.09157855159508577, -0.13407739682061484, -0.22359686821152497, 0.4304204474513729, 0.09832737596192653, 0.17007783206476682, 0.1500491917376285, 0.20774764898300602, 0.1279696731429979, 0.034852106665747, 0.021458563533193177, 0.11324797156334356, 0.06894686661552692, 0.14316061876403788, -0.2644047212611506, 0.2133318714365579, -0.0028724496394557796] |
709.0025 | Borges Dilemma, Fundamental Laws, and Systems Biology | I reason here that the known folk law in biology that there is no general law
in biology because of exceptions is false. The (quantitative) systems biology
offers the potential to solve the Borges Dilemma, by transcending it. There
have already a plenty of indications on this trend.
| q-bio.QM q-bio.OT | i reason here that the known folk law in biology that there is no general law in biology because of exceptions is false the quantitative systems biology offers the potential to solve the borges dilemma by transcending it there have already a plenty of indications on this trend | [['i', 'reason', 'here', 'that', 'the', 'known', 'folk', 'law', 'in', 'biology', 'that', 'there', 'is', 'no', 'general', 'law', 'in', 'biology', 'because', 'of', 'exceptions', 'is', 'false', 'the', 'quantitative', 'systems', 'biology', 'offers', 'the', 'potential', 'to', 'solve', 'the', 'borges', 'dilemma', 'by', 'transcending', 'it', 'there', 'have', 'already', 'a', 'plenty', 'of', 'indications', 'on', 'this', 'trend']] | [-0.06940005467428516, 0.06947259354637936, -0.09225269395392388, 0.13478630188668225, -0.0817381533124717, -0.2043208083002052, 0.0827245955200245, 0.33062994518938166, -0.2476795760837073, -0.30924410799828667, 0.08544304770475719, -0.3025305689467738, -0.26180211299894535, 0.20271883994185677, -0.15431580258882605, -0.010092194366734475, 0.02968565560877323, -0.0064126284172137575, 0.06928981001207528, -0.2246568500995636, 0.2805600241117645, 0.007445533648327303, 0.2541332939775505, 0.08951609556970652, 0.10320499019386868, -0.07375491661756921, -0.006815932807512581, 0.03671126329572871, -0.13819038925339555, 0.08508667186833918, 0.31634083529934287, 0.20497223466782089, 0.37800259558328736, -0.3812353084795177, -0.2483702388514454, 0.14807535636403676, 0.13646769031644604, 0.13560143392533064, -0.1952229513093092, -0.17010219593066722, 0.06389852063148282, -0.14050515942896405, -0.14747234070091508, -0.0745289126643911, 0.1454612959738976, -0.03564413029622907, -0.14129384643941498, 0.11371094671388467, 0.10841711956891231, 0.14313814697864777, -0.050801977265412766, -0.12333802443996926, 0.030566837987862527, 0.10864759160904214, 0.11408357625865999, 0.04504654626362026, 0.03844213937797273, -0.14692136485731075, -0.1599509451286091, 0.4354624468057106, 0.011355977389030159, -0.1685702578203442, 0.24991187727816092, -0.14331568962855576, -0.2414327091537416, 0.09164714390256752, 0.041855989986894805, 0.05787146064934253, -0.16345735608289638, 0.12487871285217504, -0.08615595181860651, 0.21233843786952397, 0.076793872906516, -0.01996931074366633, 0.1954608071828261, 0.15094192219354832, 0.05569920953227362, 0.04365249604840452, 0.024012071900263738, -0.19669545146947107, -0.2553392995032482, -0.14528277654608246, -0.17092401001718827, 0.0797564943592685, -0.020681681261824753, -0.1353628978637668, 0.2832670014662047, 0.17942128683595607, 0.08565413523077343, 0.015205968098598532, 0.2697321391509225, 0.10099348919660163, 0.11084043909431784, 0.023339157128551353, 0.2912697087061436, 0.1055374349283132, 0.19681246597125815, -0.15010229144536424, 0.11990601363747071, -0.05808294199717542] |
709.0026 | Sofic groups and profinite topology on free groups | We give a definition of weakly sofic groups (w-sofic groups). Our definition
is rather natural extension of the definition of sofic groups where instead of
Hamming metric on symmetric groups we use general bi-invariant metrics on
finite groups. The existence of non w-sofic groups is equivalent to some
conjecture about profinite topology on free groups.
| math.GR | we give a definition of weakly sofic groups wsofic groups our definition is rather natural extension of the definition of sofic groups where instead of hamming metric on symmetric groups we use general biinvariant metrics on finite groups the existence of non wsofic groups is equivalent to some conjecture about profinite topology on free groups | [['we', 'give', 'a', 'definition', 'of', 'weakly', 'sofic', 'groups', 'wsofic', 'groups', 'our', 'definition', 'is', 'rather', 'natural', 'extension', 'of', 'the', 'definition', 'of', 'sofic', 'groups', 'where', 'instead', 'of', 'hamming', 'metric', 'on', 'symmetric', 'groups', 'we', 'use', 'general', 'biinvariant', 'metrics', 'on', 'finite', 'groups', 'the', 'existence', 'of', 'non', 'wsofic', 'groups', 'is', 'equivalent', 'to', 'some', 'conjecture', 'about', 'profinite', 'topology', 'on', 'free', 'groups']] | [-0.19858374232250564, 0.15195719193104865, -0.15632697048087446, 0.12638402159571788, -0.1558885714829952, -0.13513837068534965, 0.08423624004957811, 0.40852378150623925, -0.2679803492325657, -0.1887513292373492, 0.0764316183356744, -0.2762440839422129, -0.11775730523930968, 0.2095497315046641, -0.20189565955661237, -0.10942949263273545, 0.020438574254512787, 0.18928696160679157, -0.14176330095121883, -0.31095029320567846, 0.49635566756972727, -0.014926335478930752, 0.28369998622615383, 0.05546322373567887, 0.08446616841972156, 0.01857583722943124, -0.09157231300717818, 0.024885661126870028, -0.16562901158764395, 0.14857310585607336, 0.2790505250669875, 0.08460073481876192, 0.2551403367575609, -0.2687888298499978, -0.1864588002296481, 0.22706615053697154, 0.04011202648387484, 0.028268718705424724, -0.07384569259395576, -0.3374910236529584, 0.1156318878825262, -0.20773903308611996, -0.07041251157709169, -0.04763432532408327, 0.06595539654833528, -0.03236163621944076, -0.09286717536314479, 0.05556755138666562, 0.10839310372775456, 0.1473295293080638, -0.11135675084232441, -0.05481935320378123, 0.012152807677234962, 0.11877386451189248, -0.007194843529811445, -0.04018556103461756, 0.14916350522061, 0.011757453496102244, -0.1202202950744837, 0.4566224172078776, -0.06563007174156395, -0.2716973115391326, 0.20519291301134904, -0.16060710002510054, -0.25346744264352994, 0.07902023494946507, 0.12772280030514835, 0.1950195502173507, -0.00680416502620814, 0.17019422809189222, -0.174457323245423, 0.10348548487768913, 0.09740342055710982, 0.01221838715279756, 0.0843380805948433, 0.07146672554806156, 0.1931698579024875, 0.14470682444296917, 0.1867753963803275, -0.03213864438376337, -0.3656096691792866, -0.1731242832007273, -0.07357970058461125, 0.13542732536212876, -0.13507705768746026, -0.2520716777993893, 0.3981763146958261, 0.05749484682279938, 0.06468287293243503, 0.22037673850526224, 0.17375073346467512, -0.015182086554320776, 0.0631025413683844, 0.03905929187488443, 0.03801523218697974, 0.3009746112544441, -0.155485938074735, -0.07647329374251641, -0.0021533827508254996, 0.2667522577850043] |
709.0027 | Robustness of entangled states that are positive under partial
transposition | We study robustness of bipartite entangled states that are positive under
partial transposition (PPT). It is shown that almost all PPT entangled states
are unconditionally robust, in the sense, both inseparability and positivity
are preserved under sufficiently small perturbations in its immediate
neighborhood. Such unconditionally robust PPT entangled states lie inside an
open PPT entangled ball. We construct examples of such balls whose radii are
shown to be finite and can be explicitly calculated. This provides a lower
bound on the volume of all PPT entangled states. Multipartite generalization of
our constructions are also outlined.
| quant-ph | we study robustness of bipartite entangled states that are positive under partial transposition ppt it is shown that almost all ppt entangled states are unconditionally robust in the sense both inseparability and positivity are preserved under sufficiently small perturbations in its immediate neighborhood such unconditionally robust ppt entangled states lie inside an open ppt entangled ball we construct examples of such balls whose radii are shown to be finite and can be explicitly calculated this provides a lower bound on the volume of all ppt entangled states multipartite generalization of our constructions are also outlined | [['we', 'study', 'robustness', 'of', 'bipartite', 'entangled', 'states', 'that', 'are', 'positive', 'under', 'partial', 'transposition', 'ppt', 'it', 'is', 'shown', 'that', 'almost', 'all', 'ppt', 'entangled', 'states', 'are', 'unconditionally', 'robust', 'in', 'the', 'sense', 'both', 'inseparability', 'and', 'positivity', 'are', 'preserved', 'under', 'sufficiently', 'small', 'perturbations', 'in', 'its', 'immediate', 'neighborhood', 'such', 'unconditionally', 'robust', 'ppt', 'entangled', 'states', 'lie', 'inside', 'an', 'open', 'ppt', 'entangled', 'ball', 'we', 'construct', 'examples', 'of', 'such', 'balls', 'whose', 'radii', 'are', 'shown', 'to', 'be', 'finite', 'and', 'can', 'be', 'explicitly', 'calculated', 'this', 'provides', 'a', 'lower', 'bound', 'on', 'the', 'volume', 'of', 'all', 'ppt', 'entangled', 'states', 'multipartite', 'generalization', 'of', 'our', 'constructions', 'are', 'also', 'outlined']] | [-0.170002723345533, 0.23760082937032598, -0.06812238606967425, 0.0979742718664439, 0.06637136329357561, -0.21306505715964655, 0.014710569404996932, 0.3789464141585325, -0.2235020458306137, -0.20809164349185794, 0.14151803886174763, -0.29448288004649315, -0.09697901114429298, 0.15316992091799253, -0.0968303389161041, 0.14851856175258657, 0.08957642755030017, 0.046917778018273806, -0.06496140948790861, -0.35030387108655353, 0.33677418262354636, -0.03390320203218021, 0.24574367267961958, 0.12257627404025315, 0.09390969584499927, -0.06553003728561299, 0.05527819710734643, 0.023529673730464357, -0.10840512560757097, 0.09182591951623754, 0.33338409329589924, 0.18620830436580274, 0.21773469720623995, -0.33447189268803124, -0.14996836428334445, 0.1462613556534052, 0.08472179726109301, 0.16402942575514318, -0.06276866433480265, -0.3718169209596358, 0.1437140996224786, -0.15423237820106903, -0.14558989822276328, -0.20193181435124163, 0.054900546617021685, -0.0589643218235946, -0.26875125428318586, 0.1096292786860814, 0.09905183750547861, -0.014575462167512772, -0.03795457167771498, -0.11194074413690128, -0.11148762030183877, 0.08861510729123102, -0.10632945542517853, -0.05983981510599781, 0.10864563650010448, -0.029345476752343145, -0.10516127500082612, 0.30738551526477464, -0.02110503578411513, -0.27843078916010106, 0.17473357998594446, -0.13656889036493866, -0.1294376652638771, 0.09990094303594609, 0.12190616819027224, 0.17343599827175862, -0.06793683467334823, 0.044663456811471595, -0.16103838703742152, 0.17527930832982652, 0.1459744971980782, 0.18298306135754835, 0.17053313043556714, 0.009587367849522516, 0.2091000750905981, 0.21870664937703527, 0.03735348685938669, -0.12606166352664955, -0.3673814638664848, -0.1863116875615608, -0.24249159572400936, 0.0961143118868533, -0.054856453668081055, -0.14680870295146872, 0.37424488640880504, 0.0796318714948077, 0.14055888167533434, 0.044736725008605344, 0.19203145613795833, 0.060523673643260015, 0.02031199727697592, 0.1373752070051667, 0.24394746280618404, 0.2282101628223532, -0.06836105096398999, -0.15550038183818718, 0.07159454957827141, 0.015641287704439538] |
709.0028 | Hidden Life of Riemann's Zeta Function 2. Electrons and Trains | The Riemann Hypothesis can be reformulated as statements about the
eigenvalues of certain matrices whose entries are defined in terms of the
Taylor coefficients of the zeta function. These eigenvalues exhibit interesting
visual patterns allowing one to state a number of conjectures.
The Hankel matrices introduced here are obtained, by rearranging of columns,
from Toeplitz matrices whose eigenvalues were considered in arXiv:0707.1983 .
The present paper is a continuation of that publication.
| math.NT | the riemann hypothesis can be reformulated as statements about the eigenvalues of certain matrices whose entries are defined in terms of the taylor coefficients of the zeta function these eigenvalues exhibit interesting visual patterns allowing one to state a number of conjectures the hankel matrices introduced here are obtained by rearranging of columns from toeplitz matrices whose eigenvalues were considered in arxiv07071983 the present paper is a continuation of that publication | [['the', 'riemann', 'hypothesis', 'can', 'be', 'reformulated', 'as', 'statements', 'about', 'the', 'eigenvalues', 'of', 'certain', 'matrices', 'whose', 'entries', 'are', 'defined', 'in', 'terms', 'of', 'the', 'taylor', 'coefficients', 'of', 'the', 'zeta', 'function', 'these', 'eigenvalues', 'exhibit', 'interesting', 'visual', 'patterns', 'allowing', 'one', 'to', 'state', 'a', 'number', 'of', 'conjectures', 'the', 'hankel', 'matrices', 'introduced', 'here', 'are', 'obtained', 'by', 'rearranging', 'of', 'columns', 'from', 'toeplitz', 'matrices', 'whose', 'eigenvalues', 'were', 'considered', 'in', 'arxiv07071983', 'the', 'present', 'paper', 'is', 'a', 'continuation', 'of', 'that', 'publication']] | [-0.17396991616114973, 0.12647631147078106, -0.06253588822271143, 0.0477752578927071, -0.0583892502955028, -0.08891176200870957, 0.005733038606454751, 0.2969780836254358, -0.27466810436121053, -0.26789032072494073, 0.16048439326363484, -0.2768166762909719, -0.21835459026374987, 0.12606290181034377, -0.062268590893862504, 0.1150035709275731, 0.06823971675974982, 0.0649355648285044, -0.11875843614938536, -0.2882882698306016, 0.3688598741112011, 0.01828970438135522, 0.14377252166492066, 0.029919171273442253, 0.06389934550970792, -0.04079603147027748, -0.0681150040655796, -0.02838501049471753, -0.0647126516253463, 0.13747715834262117, 0.3253239999392203, 0.14043312814485814, 0.2452532138342836, -0.42421470654330085, -0.13086676512445722, 0.1317815379771803, 0.16925412678247084, -0.007077917908983571, 0.026314833806827663, -0.3197628218148436, 0.10580551656894385, -0.13358744140714407, -0.15318483549968473, -0.07231822703033686, 0.01174248988474054, 0.04639489253583763, -0.296329724815275, 0.10333640136356864, 0.0658900893858767, 0.06409640603565744, -0.038143016229982354, -0.21827650191927594, 0.016085911828226277, 0.11458105875312218, 0.098535785355073, -0.07081241253763437, 0.08814443525459086, -0.06064045891564872, -0.09961280756230866, 0.33143154957464765, -0.007227005516844136, -0.2661013017541596, 0.09853918568364212, -0.17028098398420427, -0.10100103325343558, 0.11146423497370311, 0.12203403929514545, 0.12960410370225353, -0.11867866784866367, 0.11226181504316628, -0.1530798380329673, 0.12168505407337632, 0.16588755674394115, 0.027608553366735577, 0.17568414892469134, -0.007562446301536901, 0.021811557534549917, 0.15498411160328293, 0.02943374858503895, -0.07591289631091058, -0.2886760383046099, -0.15107303926987306, -0.2635124276525208, 0.09027960812007742, -0.14275040069062794, -0.241907790516104, 0.4628517505313669, 0.09089017079344817, 0.26145449251468694, 0.10315528372302651, 0.1661947457153084, 0.17572034204744602, 0.06787398119590111, 0.025722510434154952, 0.12761613461854202, 0.23921096411067994, 0.07142341219420945, -0.11975086649347629, 0.09252998951290335, 0.18759798984309392] |
709.0029 | New Extremely Metal-Poor Stars in the Galactic Halo | We present a detailed abundance analysis based on high resolution and high
signal-to-noise spectra of eight extremely metal poor (EMP) stars with [Fe/H] <
-3.5$ dex, four of which are new. Only stars with 4900 < Teff< 5650 K are
included. Two stars of the eight are outliers in each of several abundance
ratios. The most metal poor star in this sample, HE1424-0241, has [Fe/H] ~ -4
dex and is thus among the most metal poor stars known in the Galaxy. It has
highly anomalous abundance ratios unlike those of any other known EMP giant,
with very low Si, Ca and Ti relative to Fe, and enhanced Mn and Co, again
relative to Fe. Only (low) upper limits for C and N can be derived from the
non-detection of the CH and NH molecular bands. HE0132$-$2429, another sample
star, has excesses of N and Sc with respect to Fe. The strong outliers in
abundance ratios among the Fe-peak elements in these C-normal stars, not found
at somewhat higher metallicities, are definitely real. They suggest that at
such low metallicities we are beginning to see the anticipated and long sought
stochastic effects of individual supernova events contributing to the Fe-peak
material within a single star. A detailed comparison of the results of the
analysis procedures adopted by our 0Z project compared to those of the First
Stars VLT Large Project finds a systematic difference for [Fe/H] of ~0.3 dex,
our values always being higher.
| astro-ph | we present a detailed abundance analysis based on high resolution and high signaltonoise spectra of eight extremely metal poor emp stars with feh 35 dex four of which are new only stars with 4900 teff 5650 k are included two stars of the eight are outliers in each of several abundance ratios the most metal poor star in this sample he14240241 has feh 4 dex and is thus among the most metal poor stars known in the galaxy it has highly anomalous abundance ratios unlike those of any other known emp giant with very low si ca and ti relative to fe and enhanced mn and co again relative to fe only low upper limits for c and n can be derived from the nondetection of the ch and nh molecular bands he01322429 another sample star has excesses of n and sc with respect to fe the strong outliers in abundance ratios among the fepeak elements in these cnormal stars not found at somewhat higher metallicities are definitely real they suggest that at such low metallicities we are beginning to see the anticipated and long sought stochastic effects of individual supernova events contributing to the fepeak material within a single star a detailed comparison of the results of the analysis procedures adopted by our 0z project compared to those of the first stars vlt large project finds a systematic difference for feh of 03 dex our values always being higher | [['we', 'present', 'a', 'detailed', 'abundance', 'analysis', 'based', 'on', 'high', 'resolution', 'and', 'high', 'signaltonoise', 'spectra', 'of', 'eight', 'extremely', 'metal', 'poor', 'emp', 'stars', 'with', 'feh', '35', 'dex', 'four', 'of', 'which', 'are', 'new', 'only', 'stars', 'with', '4900', 'teff', '5650', 'k', 'are', 'included', 'two', 'stars', 'of', 'the', 'eight', 'are', 'outliers', 'in', 'each', 'of', 'several', 'abundance', 'ratios', 'the', 'most', 'metal', 'poor', 'star', 'in', 'this', 'sample', 'he14240241', 'has', 'feh', '4', 'dex', 'and', 'is', 'thus', 'among', 'the', 'most', 'metal', 'poor', 'stars', 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709.003 | Local atomic arrangement and martensitic transformation in
Ni$_{50}$Mn$_{35}$In$_{15}$: An EXAFS Study | Heusler alloys that undergo martensitic transformation in ferromagnetic state
are of increasing scientific and technological interest. These alloys show
large magnetic field induced strains upon martensitic phase change thus making
it a potential candidate for magneto-mechanical actuation. The crystal
structure of martensite is an important factor that affects both the magnetic
anisotropy and mechanical properties of such materials. Moreover, the local
chemical arrangement of constituent atoms is vital in determining the overall
physical properties. Ni$_{50}$Mn$_{35}$In$_{15}$ is one such ferromagnetic
shape memory alloy that displays exotic properties like large magnetoresistance
at moderate field values. In this work, we present the extended x-ray
absorption fine-structure measurements (EXAFS) on the bulk
Ni$_{50}$Mn$_{35}$In$_{15}$ which reveal the local structural change that
occurs upon phase transformation. The change in the bond lengths between
different atomic species helps in understanding the type of hybridization which
is an important factor in driving such Ni-Mn based systems towards martensitic
transformation.
| cond-mat.mtrl-sci | heusler alloys that undergo martensitic transformation in ferromagnetic state are of increasing scientific and technological interest these alloys show large magnetic field induced strains upon martensitic phase change thus making it a potential candidate for magnetomechanical actuation the crystal structure of martensite is an important factor that affects both the magnetic anisotropy and mechanical properties of such materials moreover the local chemical arrangement of constituent atoms is vital in determining the overall physical properties ni_50mn_35in_15 is one such ferromagnetic shape memory alloy that displays exotic properties like large magnetoresistance at moderate field values in this work we present the extended xray absorption finestructure measurements exafs on the bulk ni_50mn_35in_15 which reveal the local structural change that occurs upon phase transformation the change in the bond lengths between different atomic species helps in understanding the type of hybridization which is an important factor in driving such nimn based systems towards martensitic transformation | [['heusler', 'alloys', 'that', 'undergo', 'martensitic', 'transformation', 'in', 'ferromagnetic', 'state', 'are', 'of', 'increasing', 'scientific', 'and', 'technological', 'interest', 'these', 'alloys', 'show', 'large', 'magnetic', 'field', 'induced', 'strains', 'upon', 'martensitic', 'phase', 'change', 'thus', 'making', 'it', 'a', 'potential', 'candidate', 'for', 'magnetomechanical', 'actuation', 'the', 'crystal', 'structure', 'of', 'martensite', 'is', 'an', 'important', 'factor', 'that', 'affects', 'both', 'the', 'magnetic', 'anisotropy', 'and', 'mechanical', 'properties', 'of', 'such', 'materials', 'moreover', 'the', 'local', 'chemical', 'arrangement', 'of', 'constituent', 'atoms', 'is', 'vital', 'in', 'determining', 'the', 'overall', 'physical', 'properties', 'ni_50mn_35in_15', 'is', 'one', 'such', 'ferromagnetic', 'shape', 'memory', 'alloy', 'that', 'displays', 'exotic', 'properties', 'like', 'large', 'magnetoresistance', 'at', 'moderate', 'field', 'values', 'in', 'this', 'work', 'we', 'present', 'the', 'extended', 'xray', 'absorption', 'finestructure', 'measurements', 'exafs', 'on', 'the', 'bulk', 'ni_50mn_35in_15', 'which', 'reveal', 'the', 'local', 'structural', 'change', 'that', 'occurs', 'upon', 'phase', 'transformation', 'the', 'change', 'in', 'the', 'bond', 'lengths', 'between', 'different', 'atomic', 'species', 'helps', 'in', 'understanding', 'the', 'type', 'of', 'hybridization', 'which', 'is', 'an', 'important', 'factor', 'in', 'driving', 'such', 'nimn', 'based', 'systems', 'towards', 'martensitic', 'transformation']] | [-0.144999620797643, 0.221025677314776, -0.017462232736068846, -0.0066239444996902585, -0.07867578153085235, -0.10162021143559292, 0.06292019357799941, 0.43630011468533647, -0.3104812129252646, -0.30992443067644604, 0.002087221328255455, -0.27104827863725506, -0.18313948382833195, 0.14857562322366907, 0.05311098101819217, 0.004942341825700464, -0.023737179035836845, -0.038764763384477686, -0.11580784005168455, -0.18682411490932427, 0.27722830161612655, 0.046976637233986165, 0.33754398758270293, 0.056057092425296245, 0.04374655911896304, 0.013881827275953348, 0.09320030247157328, 0.03317024150480893, -0.14667502933568075, 0.03893960667434858, 0.24080081633137945, -0.028520355318728464, 0.20092248381732267, -0.43806577222236737, -0.2221067772703307, 0.04185174804779127, 0.0865950093632379, 0.12537816446737096, -0.09470899164482384, -0.22892102641084336, 0.03423647558785334, -0.0867386827359457, -0.12406944645112318, -0.12436653751053459, 0.03476619615531002, 0.02780108618247785, -0.22134945999764657, 0.09486936757960977, 0.10727463916579373, 0.13349279899470853, -0.14304918960039043, -0.13748602932843298, -0.06855942744650687, 0.0828466537587394, 0.045543578980700265, 0.0494219759357353, 0.2239235958904768, -0.12869705236825277, -0.07141639740940257, 0.4085305776471729, 0.0017653408195107978, -0.04196091734230617, 0.17580318768101663, -0.16012812625086367, -0.16642335166735267, 0.17168491400334218, 0.12565554944537766, 0.04603780281347599, -0.1330898633440309, 0.07381001873703562, 0.06329300216343624, 0.2211816702747335, 0.0640003308993055, 0.08680922057115725, 0.245439954888421, 0.2190539381406671, 0.027059405628863154, 0.15424760173472718, -0.08034846006695255, -0.06808113335286396, -0.19772944713492466, -0.2034566812641265, -0.19257103697402983, 0.05631249959446453, -0.16245482659213312, -0.22552305585026297, 0.37240301335033105, 0.14229420776631596, 0.15649442460899865, -0.11447852465250091, 0.20343802549756002, 0.05779849951207909, 0.10192653966376818, -0.029243073077712036, 0.27735398642546094, 0.154810038395226, 0.15066163625185755, -0.31010031356130857, 0.18503499870028173, 0.012969762278066961] |
709.0031 | Alexander Duality and Serre's Property $(S_i)$ for Square-free Monomial
Ideals | In this note, we study Serre's property $(S_i)$, and its relation to
Alexander duality for monomial ideals in a polynomial ring over a field. We
describe ideals that define the non-Cohen-Macaulay- and the non-$(S_i)$-loci of
finitely generated modules over regular rings, and show that minimal prime
ideals in these loci are homogeneous, in the graded case. We show that a
square-free monomial ideal has property $(S_i)$ if and only if its Alexander
dual has a linear resolution up to homological degree $i-1$. We prove that for
square-free monomial ideals, having property $(S_2)$ is equivalent to being
locally connected in codimension 1.
| math.AC | in this note we study serres property s_i and its relation to alexander duality for monomial ideals in a polynomial ring over a field we describe ideals that define the noncohenmacaulay and the nons_iloci of finitely generated modules over regular rings and show that minimal prime ideals in these loci are homogeneous in the graded case we show that a squarefree monomial ideal has property s_i if and only if its alexander dual has a linear resolution up to homological degree i1 we prove that for squarefree monomial ideals having property s_2 is equivalent to being locally connected in codimension 1 | [['in', 'this', 'note', 'we', 'study', 'serres', 'property', 's_i', 'and', 'its', 'relation', 'to', 'alexander', 'duality', 'for', 'monomial', 'ideals', 'in', 'a', 'polynomial', 'ring', 'over', 'a', 'field', 'we', 'describe', 'ideals', 'that', 'define', 'the', 'noncohenmacaulay', 'and', 'the', 'nons_iloci', 'of', 'finitely', 'generated', 'modules', 'over', 'regular', 'rings', 'and', 'show', 'that', 'minimal', 'prime', 'ideals', 'in', 'these', 'loci', 'are', 'homogeneous', 'in', 'the', 'graded', 'case', 'we', 'show', 'that', 'a', 'squarefree', 'monomial', 'ideal', 'has', 'property', 's_i', 'if', 'and', 'only', 'if', 'its', 'alexander', 'dual', 'has', 'a', 'linear', 'resolution', 'up', 'to', 'homological', 'degree', 'i1', 'we', 'prove', 'that', 'for', 'squarefree', 'monomial', 'ideals', 'having', 'property', 's_2', 'is', 'equivalent', 'to', 'being', 'locally', 'connected', 'in', 'codimension', '1']] | [-0.21019822468049823, 0.07397604661993683, -0.06399974027648568, 0.04182969390414655, -0.05786010792595334, -0.20983570894226433, -0.12175896916538477, 0.3784220103593543, -0.4386553669720888, -0.08873077977448701, 0.08418114086729474, -0.2628568136505783, -0.10890035959891975, 0.14767756378045305, -0.14840771635994315, -0.04870101104374044, 0.0447134324721992, 0.129925184128806, -0.04371948128566146, -0.39026573318988084, 0.40007900789380074, -0.022471339842304587, 0.1774692125292495, 0.054988096650340594, 0.13176400352967904, -0.02351274595130235, 0.0018549961660755798, 0.03495207489002496, -0.2327373378831544, 0.09708676027134061, 0.34131127220578494, 0.11325128410710023, 0.22470656470395625, -0.36817315261636396, -0.022871444411575795, 0.3002718060091138, 0.14671837422880343, -0.05243250153027475, 0.0006931269797496498, -0.11928869472118095, 0.2198309368081391, -0.22089043263709754, -0.205572909982875, -0.10304524201899767, 0.11294202004210092, 0.03332902216119692, -0.2993232907261699, -0.036830846248194576, 0.15086764018051327, 0.21041159418295138, 0.013070649814326317, -0.08014119938015937, -0.07946825977880508, -0.03313717312179506, -0.06525560546899214, 0.014557071554008871, 0.039184345589019356, -0.13173762970836833, -0.15075437565217725, 0.31808262900914996, -0.03892393940128386, -0.22756315426900983, 0.13175586798693983, -0.23927305039949714, -0.16577361836330964, 0.09517383366823197, -0.012478738217614591, 0.12260062067303806, 0.003765479391440749, 0.21800920173758642, -0.2108838096447289, 0.055192367403069514, 0.15579804639564826, 0.04817607500124723, 0.17135748697444797, 0.03151048115454614, 0.07526987437653589, 0.1827063743583858, 0.043508057007566096, 0.05007410669699311, -0.3365966369491071, -0.21855088167823852, -0.15389981005806475, 0.1520066671539098, -0.10626090014062356, -0.13262517507653684, 0.4570172879472375, 0.11331797497346997, 0.12823188070207833, 0.15023536194115877, 0.22192729022121058, -0.0010383550450205803, 0.06768242873251439, 0.08958802413661032, 0.10082971713040025, 0.2159885695949197, -0.07276383879361674, -0.11219685180112719, -0.005074765053577721, 0.21700185767840593] |
709.0032 | Thermal Logic Gates: Computation with phonons | Logic gates are basic digital elements for computers. We build up thermal
logic gates that can perform similar operations as their electronic
counterparts. The thermal logic gates are based on the nonlinear lattices,
which exhibit very intriguing phenomena due to their temperature dependent
power spectra. We demonstrate that phonons, the heat carriers, can be also used
to carry information and processed accordingly. The possibility of nanoscale
experiment is discussed.
| cond-mat.stat-mech cond-mat.mtrl-sci | logic gates are basic digital elements for computers we build up thermal logic gates that can perform similar operations as their electronic counterparts the thermal logic gates are based on the nonlinear lattices which exhibit very intriguing phenomena due to their temperature dependent power spectra we demonstrate that phonons the heat carriers can be also used to carry information and processed accordingly the possibility of nanoscale experiment is discussed | [['logic', 'gates', 'are', 'basic', 'digital', 'elements', 'for', 'computers', 'we', 'build', 'up', 'thermal', 'logic', 'gates', 'that', 'can', 'perform', 'similar', 'operations', 'as', 'their', 'electronic', 'counterparts', 'the', 'thermal', 'logic', 'gates', 'are', 'based', 'on', 'the', 'nonlinear', 'lattices', 'which', 'exhibit', 'very', 'intriguing', 'phenomena', 'due', 'to', 'their', 'temperature', 'dependent', 'power', 'spectra', 'we', 'demonstrate', 'that', 'phonons', 'the', 'heat', 'carriers', 'can', 'be', 'also', 'used', 'to', 'carry', 'information', 'and', 'processed', 'accordingly', 'the', 'possibility', 'of', 'nanoscale', 'experiment', 'is', 'discussed']] | [-0.11564634518994801, 0.17951983206001096, -0.09429366581573867, 0.08611992471075307, -0.11444322462531104, -0.18767249708374342, 0.09859115247061287, 0.44903464051152486, -0.2966242540573728, -0.3045510905187415, 0.09894140185518326, -0.3081600708698017, -0.14092756840197937, 0.2783783269992125, -0.05735662862982439, 0.07304120378271825, -0.006964643377864706, -0.03071467103301615, -0.0707536207350052, -0.2534831310082497, 0.21225761892139047, 0.07045991102864534, 0.29780261696356797, 0.0310496734995125, 0.05907215771899707, -0.059944512160575905, 0.019846256781855354, 0.02101876419307529, -0.06425734950280984, 0.09660757236533622, 0.3193491520900009, 0.034164931024492216, 0.18189569505984368, -0.5432921244452397, -0.17547461209629756, 0.05814690485462104, 0.09231522798443725, 0.16047115271963328, -0.05539663113903362, -0.2429855394622554, 0.0619578950404041, -0.13283184747569318, -0.04554202197038609, -0.21819454478774813, 0.02123780629557112, 0.05773921060524341, -0.17206039127853254, 0.04135876282858932, 0.10152795546404693, 0.04937387214622636, 0.018152010667583218, -0.08211016811538434, -0.02746712203151074, 0.12265991526773955, -0.09610333453283469, -0.06164544988997227, 0.25060466214663524, -0.06465590776929604, -0.2110021806632479, 0.36987605939308804, -0.014540279226755534, -0.12718164599568083, 0.15594535755951874, -0.10182742335145241, -0.07597710134164579, 0.08599310512721971, 0.16879737803685493, 0.08642672988977554, -0.18234339827145246, 0.0527421199654202, 0.043709506219981806, 0.2407261082376151, 0.052266516493282456, 0.19585710035070128, 0.26514127942315047, 0.15778374726600622, -0.005421830476194188, 0.17487595917191356, -0.031360734696162566, -0.057464879417818956, -0.24576292155931392, -0.15997158028725264, -0.18485295317014275, 0.05787789303323497, -0.027462256599708624, -0.14250472346590698, 0.3818794943500256, 0.20939800517711168, 0.13789762460046273, 0.015954057633728327, 0.28752978631983633, 0.13899941716606365, 0.16046316667284438, 0.060030006071336676, 0.23020690194992482, 0.19814702607961238, 0.1487200416057654, -0.24313352716600764, 0.043328151154075414, -0.023360227204292365] |
709.0033 | Generalized Quantum Hydrodynamics and Principles of non-Local Physics | This paper addresses the fundamental principles of generalized Boltzmann
physical kinetics, as a part of non-local physics. It is shown that the theory
of transport processes (including quantum mechanics) can be considered in the
frame of unified theory based on the non-local physical description. The paper
can be considered also as comments and prolongation of the materials published
in the known author's monograph (Boris V. Alexeev, Generalized Boltzmann
Physical Kinetics. Elsevier. 2004).
| cond-mat.stat-mech | this paper addresses the fundamental principles of generalized boltzmann physical kinetics as a part of nonlocal physics it is shown that the theory of transport processes including quantum mechanics can be considered in the frame of unified theory based on the nonlocal physical description the paper can be considered also as comments and prolongation of the materials published in the known authors monograph boris v alexeev generalized boltzmann physical kinetics elsevier 2004 | [['this', 'paper', 'addresses', 'the', 'fundamental', 'principles', 'of', 'generalized', 'boltzmann', 'physical', 'kinetics', 'as', 'a', 'part', 'of', 'nonlocal', 'physics', 'it', 'is', 'shown', 'that', 'the', 'theory', 'of', 'transport', 'processes', 'including', 'quantum', 'mechanics', 'can', 'be', 'considered', 'in', 'the', 'frame', 'of', 'unified', 'theory', 'based', 'on', 'the', 'nonlocal', 'physical', 'description', 'the', 'paper', 'can', 'be', 'considered', 'also', 'as', 'comments', 'and', 'prolongation', 'of', 'the', 'materials', 'published', 'in', 'the', 'known', 'authors', 'monograph', 'boris', 'v', 'alexeev', 'generalized', 'boltzmann', 'physical', 'kinetics', 'elsevier', '2004']] | [-0.05297024285310828, 0.09026787448803791, -0.11290289125544303, 0.05767576280696732, -0.11003212141804397, -0.1296392500646309, 0.005899976728768606, 0.25500979350828046, -0.31984741924356463, -0.26912884080472094, 0.041734092083061114, -0.23323914713950622, -0.2197817043052055, 0.17737744518348741, -0.10148326823643099, 0.08823930785163409, 0.02443556055530078, 0.005854721983066863, -0.038978937324524544, -0.2445404198321436, 0.30833934378137606, 0.08407437717445039, 0.27563908559063244, 0.11744034255389124, 0.11044411077940215, 0.010384213049999542, -0.07469779453499036, 0.03806089567175756, -0.16041293573784465, 0.12601979342030567, 0.250641429822685, 0.08212897963433836, 0.2622212516143918, -0.44969093840983176, -0.3007288719656774, -0.0033381826667917064, 0.10513805272704405, 0.12320248896948113, -0.007146003670641221, -0.2654815008346405, 0.020187822429256305, -0.17399325420329761, -0.1376453423161163, -0.06617433976821809, 0.052233480389178216, 0.024615581690644223, -0.1830841427630124, 0.11219235475639128, 0.10029785117108582, 0.058217081755477317, -0.07347982173087075, -0.13965592234550664, 0.02206944663905435, 0.08048118790288249, -0.01055670246650051, 0.009974863722972158, 0.0990202290381098, -0.09663176136544077, -0.1899210570845753, 0.4866712734931045, -0.02976905063648398, -0.20207590620136923, 0.17720227422412588, -0.04960649987010078, -0.15427438189120343, 0.009693979935642952, 0.15104956141052148, 0.12628437384005842, -0.25345762714277953, 0.1421720428487687, -0.08767867748004694, 0.08268812400961502, 0.0625838146208682, 0.04132356821274799, 0.14003687875164259, 0.14463665964366454, -0.06596740469750431, 0.06885012108250521, 0.02606639690283272, -0.17587450883972147, -0.3691791908349842, -0.19056718044966045, -0.20248363063567215, 0.12100816012308416, 0.01574183541965289, -0.1474669174975942, 0.39649234095769414, 0.1387578304986366, 0.1083479964484771, -0.023915256813375488, 0.20024732790059513, 0.12345247429523927, 0.006087877037417557, 0.040469200499097094, 0.25020263909472207, 0.20119409947397393, 0.17471615455967063, -0.17325350215348104, 0.05081223795099908, 0.15749115052555376] |
709.0034 | Chern classes of Deligne-Mumford stacks and their coarse moduli spaces | Let $X$ be a complex projective algebraic variety with Gorenstein quotient
singularities and $\X$ a smooth Deligne-Mumford stack having $X$ as its coarse
moduli space. We show that the CSM class $c^{SM}(X)$ coincides with the
pushforward to $X$ of the total Chern class $c(T_{I\X})$ of the inertia stack
$I\X$. We also show that the stringy Chern class $c_{str}(X)$ of $X$, whenever
is defined, coincides with the pushforward to $X$ of the total Chern class
$c(T_{II\X})$ of the double inertia stack $II\X$. Some consequences concerning
stringy/orbifold Hodge numbers are deduced.
| math.AG | let x be a complex projective algebraic variety with gorenstein quotient singularities and x a smooth delignemumford stack having x as its coarse moduli space we show that the csm class csmx coincides with the pushforward to x of the total chern class ct_ix of the inertia stack ix we also show that the stringy chern class c_strx of x whenever is defined coincides with the pushforward to x of the total chern class ct_iix of the double inertia stack iix some consequences concerning stringyorbifold hodge numbers are deduced | [['let', 'x', 'be', 'a', 'complex', 'projective', 'algebraic', 'variety', 'with', 'gorenstein', 'quotient', 'singularities', 'and', 'x', 'a', 'smooth', 'delignemumford', 'stack', 'having', 'x', 'as', 'its', 'coarse', 'moduli', 'space', 'we', 'show', 'that', 'the', 'csm', 'class', 'csmx', 'coincides', 'with', 'the', 'pushforward', 'to', 'x', 'of', 'the', 'total', 'chern', 'class', 'ct_ix', 'of', 'the', 'inertia', 'stack', 'ix', 'we', 'also', 'show', 'that', 'the', 'stringy', 'chern', 'class', 'c_strx', 'of', 'x', 'whenever', 'is', 'defined', 'coincides', 'with', 'the', 'pushforward', 'to', 'x', 'of', 'the', 'total', 'chern', 'class', 'ct_iix', 'of', 'the', 'double', 'inertia', 'stack', 'iix', 'some', 'consequences', 'concerning', 'stringyorbifold', 'hodge', 'numbers', 'are', 'deduced']] | [-0.24642558265701833, 0.06882620710004346, -0.07468966298164373, 0.05655260504846158, -0.10104400418833437, -0.14264569104458374, -0.011658627293016538, 0.3458822115986462, -0.3752430276047573, -0.1885922426604722, 0.048916241950748195, -0.21611319358898215, -0.11924452778984265, 0.20003000269251237, -0.17777565516621233, -0.04299276865281008, 0.005192863667967269, 0.06523154574412718, -0.16947760136169662, -0.3318135733660086, 0.4798654506364501, -0.09297479085444686, 0.22042531741457622, 0.025064294327454394, 0.16226894103540443, -0.02575048011817397, 0.05588862643554717, 0.055775878762655204, -0.14991078401879962, 0.1521298516968108, 0.2869369980489207, 0.023581590727869285, 0.12826724048053106, -0.3249907064285264, -0.17694470305444607, 0.22801875753934125, 0.024738330197666424, -0.054855603522744524, 0.06533495747450604, -0.2654458692813494, 0.16412910294483404, -0.1773624349924096, -0.21529160390035754, -0.09730643444660916, 0.11160760586071446, 0.0784779691799398, -0.18993549888212996, -0.07341512515951587, 0.020937259499746633, 0.09178595417684102, -0.045204494569271086, -0.11658747783575925, -0.20614337718046932, 0.00301373178273978, 0.035055751303569915, 0.06992715785661376, 0.11884370422641556, -0.11044841550651051, -0.07404816028359065, 0.3845427282019911, -0.09670971998249192, -0.1763365864304893, 0.08445100792605116, -0.19648914361170616, -0.1297529435082597, 0.2211033741954759, 0.012528747701680804, 0.21119111140135183, 0.10061134790709939, 0.22892534831491107, -0.13986956175411097, 0.1021912793056613, 0.04718843969258379, 0.07106809539114495, 0.17723074669287686, 0.10664565435958555, 0.05481313975774739, 0.1365498084875093, -0.09982525934857955, -0.026940774935555745, -0.44092780351638794, -0.25915108971207973, -0.14244778652911086, 0.2748802929600499, -0.11918530183972606, -0.18323458776057486, 0.3512424968845065, 0.002267600016206284, 0.23956295969076905, 0.1457493210951966, 0.1957547782235835, 0.03921246424132217, -0.015494033430579555, 0.010926134721656522, 0.07783843203151812, 0.23388598325202264, -0.0008633718994188022, -0.14594429371463336, 0.014846463558679244, 0.21557057206799468] |
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