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 |
|---|---|---|---|---|---|---|
710.1253 | The forgetful map in rational K-theory | Let G be a connected reductive algebraic group acting on a scheme X. Let R(G)
denote the representation ring of G, and let I be the ideal in R(G) of virtual
representations of rank 0. Let G(X) (resp. G(G,X)) denote the Grothendieck
group of coherent sheaves (resp. G-equivariant coherent sheaves) on X.
Merkurjev proved that if the fundamental group of G is torsion-free, then the
map of G(G,X)/IG(G,X) to G(X) is an isomorphism. Although this map need not be
an isomorphism if the fundamental group of G has torsion, we prove that without
the assumption on the fundamental group of G, this map is an isomorphism after
tensoring with the rational numbers.
| math.AG math.KT | let g be a connected reductive algebraic group acting on a scheme x let rg denote the representation ring of g and let i be the ideal in rg of virtual representations of rank 0 let gx resp ggx denote the grothendieck group of coherent sheaves resp gequivariant coherent sheaves on x merkurjev proved that if the fundamental group of g is torsionfree then the map of ggxiggx to gx is an isomorphism although this map need not be an isomorphism if the fundamental group of g has torsion we prove that without the assumption on the fundamental group of g this map is an isomorphism after tensoring with the rational numbers | [['let', 'g', 'be', 'a', 'connected', 'reductive', 'algebraic', 'group', 'acting', 'on', 'a', 'scheme', 'x', 'let', 'rg', 'denote', 'the', 'representation', 'ring', 'of', 'g', 'and', 'let', 'i', 'be', 'the', 'ideal', 'in', 'rg', 'of', 'virtual', 'representations', 'of', 'rank', '0', 'let', 'gx', 'resp', 'ggx', 'denote', 'the', 'grothendieck', 'group', 'of', 'coherent', 'sheaves', 'resp', 'gequivariant', 'coherent', 'sheaves', 'on', 'x', 'merkurjev', 'proved', 'that', 'if', 'the', 'fundamental', 'group', 'of', 'g', 'is', 'torsionfree', 'then', 'the', 'map', 'of', 'ggxiggx', 'to', 'gx', 'is', 'an', 'isomorphism', 'although', 'this', 'map', 'need', 'not', 'be', 'an', 'isomorphism', 'if', 'the', 'fundamental', 'group', 'of', 'g', 'has', 'torsion', 'we', 'prove', 'that', 'without', 'the', 'assumption', 'on', 'the', 'fundamental', 'group', 'of', 'g', 'this', 'map', 'is', 'an', 'isomorphism', 'after', 'tensoring', 'with', 'the', 'rational', 'numbers']] | [-0.24998286123983227, 0.09770190719919393, -0.1578674763650843, -0.05334979165156649, -0.13586060421306406, -0.16437955493493392, -0.01334624547880512, 0.3686035662755236, -0.42406392686471744, -0.17547356987556628, 0.07078536158020667, -0.23991981371062565, -0.09853231475629785, 0.19363720284623875, -0.15732055129315536, -0.14772333177163158, 0.04187425169338648, 0.1987401364153033, -0.06942744987286828, -0.2617507952387101, 0.42141790043663335, -0.08011764751512322, 0.2063744589350782, 0.027759609223754558, 0.14394182964387509, 0.02405107446719666, 0.013266127069925403, -0.04873732861282455, -0.10278043913225506, 0.10022751085653163, 0.33976138736381456, 0.06353861921433326, 0.2369737593553591, -0.3552049262919002, -0.13759881087478149, 0.3217297959737144, 0.1379016917623655, -0.12955945720560513, 0.013763112392536624, -0.2946630830096232, 0.18951836170058126, -0.16849182398469598, -0.10942241665277933, -0.04518306271282134, 0.15728035766467754, -0.022016943205852766, -0.27632653042527233, -0.07228867982111468, 0.03171300802061015, 0.11963437136833195, -0.017459706856390915, -0.05582447687210096, -0.12579389162747576, 0.08888830494152399, -0.06222161544730199, 0.14364658864550628, 0.08447656975555662, -0.08441103510306897, -0.10234441331730366, 0.427691212813328, -0.08624629145236434, -0.17187231010337872, 0.055507154107462986, -0.18257952921998663, -0.15567449283123286, 0.10215581812568612, 0.058179620963831745, 0.18753615267986962, 0.037594838630038874, 0.26657734992064386, -0.21228197926806436, 0.12529448132966184, 0.02938632878500062, -0.05729739838657347, 0.12505919368820148, 0.07546391017600759, 0.09654542514325438, 0.07880894375465777, 0.05806378644119176, 0.13626059419097933, -0.37763252191514046, -0.1595474231342139, -0.14002837709503602, 0.252322817349367, -0.13145001292391786, -0.12659277706532865, 0.3761526711510538, 0.06159781895342979, 0.12364414673055278, 0.12379333901277802, 0.20415981640821104, 0.07152650980194947, 0.019993156878495805, 0.11642435875821959, 0.059428575473862724, 0.3134403009857009, -0.18641358038813277, -0.16386888611659006, -0.02997194896116517, 0.26014522019656255] |
710.1254 | A Group Theoretic Model for Information | In this paper we formalize the notions of information elements and
information lattices, first proposed by Shannon. Exploiting this formalization,
we identify a comprehensive parallelism between information lattices and
subgroup lattices. Qualitatively, we demonstrate isomorphisms between
information lattices and subgroup lattices. Quantitatively, we establish a
decisive approximation relation between the entropy structures of information
lattices and the log-index structures of the corresponding subgroup lattices.
This approximation extends the approximation for joint entropies carried out
previously by Chan and Yeung. As a consequence of our approximation result, we
show that any continuous law holds in general for the entropies of information
elements if and only if the same law holds in general for the log-indices of
subgroups. As an application, by constructing subgroup counterexamples we find
surprisingly that common information, unlike joint information, obeys neither
the submodularity nor the supermodularity law. We emphasize that the notion of
information elements is conceptually significant--formalizing it helps to
reveal the deep connection between information theory and group theory. The
parallelism established in this paper admits an appealing group-action
explanation and provides useful insights into the intrinsic structure among
information elements from a group-theoretic perspective.
| cs.IT math.IT | in this paper we formalize the notions of information elements and information lattices first proposed by shannon exploiting this formalization we identify a comprehensive parallelism between information lattices and subgroup lattices qualitatively we demonstrate isomorphisms between information lattices and subgroup lattices quantitatively we establish a decisive approximation relation between the entropy structures of information lattices and the logindex structures of the corresponding subgroup lattices this approximation extends the approximation for joint entropies carried out previously by chan and yeung as a consequence of our approximation result we show that any continuous law holds in general for the entropies of information elements if and only if the same law holds in general for the logindices of subgroups as an application by constructing subgroup counterexamples we find surprisingly that common information unlike joint information obeys neither the submodularity nor the supermodularity law we emphasize that the notion of information elements is conceptually significantformalizing it helps to reveal the deep connection between information theory and group theory the parallelism established in this paper admits an appealing groupaction explanation and provides useful insights into the intrinsic structure among information elements from a grouptheoretic perspective | [['in', 'this', 'paper', 'we', 'formalize', 'the', 'notions', 'of', 'information', 'elements', 'and', 'information', 'lattices', 'first', 'proposed', 'by', 'shannon', 'exploiting', 'this', 'formalization', 'we', 'identify', 'a', 'comprehensive', 'parallelism', 'between', 'information', 'lattices', 'and', 'subgroup', 'lattices', 'qualitatively', 'we', 'demonstrate', 'isomorphisms', 'between', 'information', 'lattices', 'and', 'subgroup', 'lattices', 'quantitatively', 'we', 'establish', 'a', 'decisive', 'approximation', 'relation', 'between', 'the', 'entropy', 'structures', 'of', 'information', 'lattices', 'and', 'the', 'logindex', 'structures', 'of', 'the', 'corresponding', 'subgroup', 'lattices', 'this', 'approximation', 'extends', 'the', 'approximation', 'for', 'joint', 'entropies', 'carried', 'out', 'previously', 'by', 'chan', 'and', 'yeung', 'as', 'a', 'consequence', 'of', 'our', 'approximation', 'result', 'we', 'show', 'that', 'any', 'continuous', 'law', 'holds', 'in', 'general', 'for', 'the', 'entropies', 'of', 'information', 'elements', 'if', 'and', 'only', 'if', 'the', 'same', 'law', 'holds', 'in', 'general', 'for', 'the', 'logindices', 'of', 'subgroups', 'as', 'an', 'application', 'by', 'constructing', 'subgroup', 'counterexamples', 'we', 'find', 'surprisingly', 'that', 'common', 'information', 'unlike', 'joint', 'information', 'obeys', 'neither', 'the', 'submodularity', 'nor', 'the', 'supermodularity', 'law', 'we', 'emphasize', 'that', 'the', 'notion', 'of', 'information', 'elements', 'is', 'conceptually', 'significantformalizing', 'it', 'helps', 'to', 'reveal', 'the', 'deep', 'connection', 'between', 'information', 'theory', 'and', 'group', 'theory', 'the', 'parallelism', 'established', 'in', 'this', 'paper', 'admits', 'an', 'appealing', 'groupaction', 'explanation', 'and', 'provides', 'useful', 'insights', 'into', 'the', 'intrinsic', 'structure', 'among', 'information', 'elements', 'from', 'a', 'grouptheoretic', 'perspective']] | [-0.118542175076374, 0.04712635901072411, -0.14974968582341935, 0.11381058001524724, -0.09606566373507845, -0.13199431262412334, 0.11464117644454308, 0.37168016396263703, -0.3250312379755598, -0.2666874543121234, 0.07083959387519452, -0.2795012582611432, -0.20056066735782088, 0.1553557296809591, -0.09815872751455255, -0.00928860618409148, 0.030556318170844234, 0.031136628229141157, -0.10829162513737611, -0.21816875592799687, 0.32819521085628095, 0.029347135748727906, 0.32905732991203746, 0.07957664130873142, 0.11404696070305247, 0.045844183015801454, -0.03803045441082773, 0.014543048633426866, -0.17814558395118432, 0.1600296009801338, 0.2538806184040592, 0.14577015887891107, 0.25641389930854863, -0.3908542224161207, -0.21013075315498095, 0.10962389039752238, 0.11988686536872052, 0.09523145637081508, -0.05609212182512019, -0.25547802036897066, 0.05521420058221581, -0.157562080920141, -0.10753977948545733, -0.13592780316198733, 0.026219937980254703, -0.01738139596533648, -0.2609401714236645, 0.05964062085504678, 0.16638114552834085, 0.10431106579315694, -0.03786131463207822, -0.06251456621252399, 0.016699602948669793, 0.1456201446695841, 0.00300902294936306, -0.02795054481357316, 0.050627673588902314, -0.0899233684606133, -0.13784420242244227, 0.3881851514841226, -0.03788730691007792, -0.18121077525205312, 0.13313669861726374, -0.13688373862750788, -0.17794999484978816, 0.048906461257278364, 0.097534393249229, 0.07778598888608955, -0.14066423367700207, 0.10500518086411179, -0.10858208850837925, 0.16840514204250698, 0.06889929806684109, 0.10873408870146495, 0.17175120770069646, 0.11778713144451619, 0.06988544193878371, 0.16127061921440783, 0.013614941296232416, -0.09209101283823184, -0.29757802113691434, -0.1908593282332634, -0.18126591036275508, 0.046095021066170576, -0.11841613350543169, -0.11603485779568458, 0.34171696124787637, 0.1401704682465543, 0.15526179378643074, 0.08942731366776686, 0.2548831119774816, 0.05346901308095212, 0.05561959732044986, 0.13594011179629695, 0.1881402069901958, 0.2058526104463035, 0.025882133481934428, -0.16504400507497158, 0.05449395103785981, 0.1210129355500019] |
710.1255 | Spatial distribution of stars and brown dwarfs in sigma Orionis | I have re-visited the spatial distribution of stars and high-mass brown
dwarfs in the sigma Orionis cluster (~3 Ma, ~360 pc). The input was a catalogue
of 340 cluster members and candidates at separations less than 30 arcmin to
sigma Ori AB. Of them, 70 % have features of extreme youth. I fitted the
normalised cumulative number of objects counting from the cluster centre to
several power-law, exponential and King radial distributions. The cluster seems
to have two components: a dense core that extends from the centre to r ~ 20
arcmin and a rarified halo at larger separations. The radial distribution in
the core follows a power-law proportional to r^1, which corresponds to a volume
density proportional to r^(-2). This is consistent with the collapse of an
isothermal spherical molecular cloud. The stars more massive than 3.7 Msol
concentrate, however, towards the cluster centre, where there is also an
apparent deficit of very low-mass objects (M < 0.16 Msol). Last, I demonstrated
through Monte Carlo simulations that the cluster is azimuthally asymmetric,
with a filamentary overdensity of objects that runs from the cluster centre to
the Horsehead Nebula.
| astro-ph | i have revisited the spatial distribution of stars and highmass brown dwarfs in the sigma orionis cluster 3 ma 360 pc the input was a catalogue of 340 cluster members and candidates at separations less than 30 arcmin to sigma ori ab of them 70 have features of extreme youth i fitted the normalised cumulative number of objects counting from the cluster centre to several powerlaw exponential and king radial distributions the cluster seems to have two components a dense core that extends from the centre to r 20 arcmin and a rarified halo at larger separations the radial distribution in the core follows a powerlaw proportional to r1 which corresponds to a volume density proportional to r2 this is consistent with the collapse of an isothermal spherical molecular cloud the stars more massive than 37 msol concentrate however towards the cluster centre where there is also an apparent deficit of very lowmass objects m 016 msol last i demonstrated through monte carlo simulations that the cluster is azimuthally asymmetric with a filamentary overdensity of objects that runs from the cluster centre to the horsehead nebula | [['i', 'have', 'revisited', 'the', 'spatial', 'distribution', 'of', 'stars', 'and', 'highmass', 'brown', 'dwarfs', 'in', 'the', 'sigma', 'orionis', 'cluster', '3', 'ma', '360', 'pc', 'the', 'input', 'was', 'a', 'catalogue', 'of', '340', 'cluster', 'members', 'and', 'candidates', 'at', 'separations', 'less', 'than', '30', 'arcmin', 'to', 'sigma', 'ori', 'ab', 'of', 'them', '70', 'have', 'features', 'of', 'extreme', 'youth', 'i', 'fitted', 'the', 'normalised', 'cumulative', 'number', 'of', 'objects', 'counting', 'from', 'the', 'cluster', 'centre', 'to', 'several', 'powerlaw', 'exponential', 'and', 'king', 'radial', 'distributions', 'the', 'cluster', 'seems', 'to', 'have', 'two', 'components', 'a', 'dense', 'core', 'that', 'extends', 'from', 'the', 'centre', 'to', 'r', '20', 'arcmin', 'and', 'a', 'rarified', 'halo', 'at', 'larger', 'separations', 'the', 'radial', 'distribution', 'in', 'the', 'core', 'follows', 'a', 'powerlaw', 'proportional', 'to', 'r1', 'which', 'corresponds', 'to', 'a', 'volume', 'density', 'proportional', 'to', 'r2', 'this', 'is', 'consistent', 'with', 'the', 'collapse', 'of', 'an', 'isothermal', 'spherical', 'molecular', 'cloud', 'the', 'stars', 'more', 'massive', 'than', '37', 'msol', 'concentrate', 'however', 'towards', 'the', 'cluster', 'centre', 'where', 'there', 'is', 'also', 'an', 'apparent', 'deficit', 'of', 'very', 'lowmass', 'objects', 'm', '016', 'msol', 'last', 'i', 'demonstrated', 'through', 'monte', 'carlo', 'simulations', 'that', 'the', 'cluster', 'is', 'azimuthally', 'asymmetric', 'with', 'a', 'filamentary', 'overdensity', 'of', 'objects', 'that', 'runs', 'from', 'the', 'cluster', 'centre', 'to', 'the', 'horsehead', 'nebula']] | [-0.060472274915144966, 0.10835406168314543, -0.11506898742249255, 0.07879615191655655, -0.08284461296348762, -0.07767725222423592, 0.05555789996819791, 0.38145334745246556, -0.1594780064513406, -0.36631466958781966, 0.029472796119979872, -0.30602705585945555, 0.00804778552233612, 0.12968024092548658, -0.019735008715973088, -0.03615748945852711, 0.057509700046671976, -0.0027738621305694344, -0.059018026815817484, -0.242865302203153, 0.29653593783156684, 0.08702946869782874, 0.1407755539572287, -0.06484168417932044, 0.059055266601424065, -0.09370314282545399, -0.05879041197664675, 0.0008450716606251174, -0.14911494696175934, 0.06293699694096401, 0.19300241265521054, 0.11212919252331278, 0.25519732232405856, -0.319725416635754, -0.16873427644019612, 0.06167201283237626, 0.2186503882398009, 0.004347452527708223, -0.017983356930496377, -0.27057502875905687, 0.1511807649425151, -0.23931324715295466, -0.2217695019583428, 0.1287842544824666, 0.15675478686969127, 0.03580830041857396, -0.20650999116841504, 0.16469683466082993, 0.010171383053504972, 0.09242611863135275, -0.07120460242668908, -0.18415003244624903, -0.038380963273436555, 0.039192090725391024, -0.025677527137656486, 0.12830285532450084, 0.20474578374345856, -0.13718963281116298, -0.013432233761470284, 0.3956734609379563, -0.0390414941215059, -0.029746663512571925, 0.22782132073345604, -0.21060218308020823, -0.16068034699457068, 0.15840421590743767, 0.10809083930867654, 0.11001986825478173, -0.14674112296873523, 0.013322030423179029, -0.04725953731848608, 0.2331612785409395, 0.08564817538373523, -0.01438795916876325, 0.3152442479641327, 0.09560313597349675, 0.05291150337906138, 0.11616576237695402, -0.2685281463176756, -0.12252269507766331, -0.23960602514868884, -0.08732399711215127, -0.15300563529605718, 0.060153120887085236, -0.1643422499386048, -0.12564826619020233, 0.290853758067173, 0.08368749552786911, 0.22918018620581396, 0.07184308682260435, 0.23615161153758246, 0.06689208832954968, 0.15363074207217783, 0.14866946417923926, 0.2340239728650739, 0.2219706251416155, 0.0861931238273379, -0.18097819888623812, -0.003616066724662819, -0.05843846647128943] |
710.1256 | Complexified Path Integrals and the Phases of Quantum Field Theory | The path integral by which quantum field theories are defined is a particular
solution of a set of functional differential equations arising from the
Schwinger action principle. In fact these equations have a multitude of
additional solutions which are described by integrals over a complexified path.
We discuss properties of the additional solutions which, although generally
disregarded, may be physical with known examples including spontaneous symmetry
breaking and theta vacua. We show that a consideration of the full set of
solutions yields a description of phase transitions in quantum field theories
which complements the usual description in terms of the accumulation of
Lee-Yang zeroes. In particular we argue that non-analyticity due to the
accumulation of Lee-Yang zeros is related to Stokes phenomena and the collapse
of the solution set in various limits including but not restricted to, the
thermodynamic limit. A precise demonstration of this relation is given in terms
of a zero dimensional model. Finally, for zero dimensional polynomial actions,
we prove that Borel resummation of perturbative expansions, with several
choices of singularity avoiding contours in the complex Borel plane, yield
inequivalent solutions of the action principle equations.
| hep-th | the path integral by which quantum field theories are defined is a particular solution of a set of functional differential equations arising from the schwinger action principle in fact these equations have a multitude of additional solutions which are described by integrals over a complexified path we discuss properties of the additional solutions which although generally disregarded may be physical with known examples including spontaneous symmetry breaking and theta vacua we show that a consideration of the full set of solutions yields a description of phase transitions in quantum field theories which complements the usual description in terms of the accumulation of leeyang zeroes in particular we argue that nonanalyticity due to the accumulation of leeyang zeros is related to stokes phenomena and the collapse of the solution set in various limits including but not restricted to the thermodynamic limit a precise demonstration of this relation is given in terms of a zero dimensional model finally for zero dimensional polynomial actions we prove that borel resummation of perturbative expansions with several choices of singularity avoiding contours in the complex borel plane yield inequivalent solutions of the action principle equations | [['the', 'path', 'integral', 'by', 'which', 'quantum', 'field', 'theories', 'are', 'defined', 'is', 'a', 'particular', 'solution', 'of', 'a', 'set', 'of', 'functional', 'differential', 'equations', 'arising', 'from', 'the', 'schwinger', 'action', 'principle', 'in', 'fact', 'these', 'equations', 'have', 'a', 'multitude', 'of', 'additional', 'solutions', 'which', 'are', 'described', 'by', 'integrals', 'over', 'a', 'complexified', 'path', 'we', 'discuss', 'properties', 'of', 'the', 'additional', 'solutions', 'which', 'although', 'generally', 'disregarded', 'may', 'be', 'physical', 'with', 'known', 'examples', 'including', 'spontaneous', 'symmetry', 'breaking', 'and', 'theta', 'vacua', 'we', 'show', 'that', 'a', 'consideration', 'of', 'the', 'full', 'set', 'of', 'solutions', 'yields', 'a', 'description', 'of', 'phase', 'transitions', 'in', 'quantum', 'field', 'theories', 'which', 'complements', 'the', 'usual', 'description', 'in', 'terms', 'of', 'the', 'accumulation', 'of', 'leeyang', 'zeroes', 'in', 'particular', 'we', 'argue', 'that', 'nonanalyticity', 'due', 'to', 'the', 'accumulation', 'of', 'leeyang', 'zeros', 'is', 'related', 'to', 'stokes', 'phenomena', 'and', 'the', 'collapse', 'of', 'the', 'solution', 'set', 'in', 'various', 'limits', 'including', 'but', 'not', 'restricted', 'to', 'the', 'thermodynamic', 'limit', 'a', 'precise', 'demonstration', 'of', 'this', 'relation', 'is', 'given', 'in', 'terms', 'of', 'a', 'zero', 'dimensional', 'model', 'finally', 'for', 'zero', 'dimensional', 'polynomial', 'actions', 'we', 'prove', 'that', 'borel', 'resummation', 'of', 'perturbative', 'expansions', 'with', 'several', 'choices', 'of', 'singularity', 'avoiding', 'contours', 'in', 'the', 'complex', 'borel', 'plane', 'yield', 'inequivalent', 'solutions', 'of', 'the', 'action', 'principle', 'equations']] | [-0.17777169703643908, 0.10990515882987037, -0.10102168945644899, 0.06373559787903947, -0.07988244347229954, -0.07787285883363987, 0.039194147982117206, 0.2828165082674887, -0.24754997695397055, -0.24061808733653928, 0.10110093356496974, -0.2699774553463117, -0.1656663022176535, 0.1841591254120604, -0.04160329736843114, 0.0658513263666204, 0.05302012495440308, 0.05657478067383328, -0.1072873442628416, -0.22146881052733908, 0.35311076872878605, -0.04716328582874248, 0.24858767226358097, 0.06162241623594017, 0.12625126846666848, -0.015100832820362436, -0.001419494128120797, 0.0511546998313091, -0.1473924493947711, 0.09882034341775117, 0.2560487213510978, 0.08938257231022276, 0.20941805631981297, -0.40246373051333995, -0.22780925001476018, 0.12242671688735268, 0.15717098209144617, 0.12866359519545562, -0.012083285504203073, -0.27795826706779064, 0.05807326067850072, -0.15979992827922895, -0.18477477553354762, -0.11536129149632952, 0.00742146497833784, 0.02527564442741177, -0.25397337323902225, 0.06797889817725354, 0.07724536583566713, 0.08158582613049518, -0.06391557722066643, -0.060418590433925154, -0.01885309588674101, 0.0700071129341802, 0.0903530073513538, 0.01088108935716153, 0.07552403111131517, -0.18240433198588632, -0.1505556994415918, 0.40702044816993216, -0.03850848951454585, -0.24367888128784085, 0.17484520233320022, -0.18343964742900676, -0.13070704699764965, 0.14234674596548003, 0.09396685347966259, 0.1388475576923204, -0.14007774048617908, 0.1750850492599682, -0.0335245900319288, 0.09637988038439915, 0.10237591717855404, 0.056125175929751504, 0.20927595968917814, 0.07133793196069303, 0.053587792376419724, 0.1297670450084966, 0.004081807109138007, -0.18421891096439805, -0.3979067128624708, -0.1546701445963687, -0.14384906935670644, 0.1153510892801461, -0.10818972760579233, -0.2301439169902729, 0.39053610232338387, 0.14557911820029693, 0.19272392981799033, 0.04146476453860049, 0.21519770922888287, 0.19442994266041005, 0.07421573897005704, 0.003403380712760346, 0.20168175266084887, 0.13416838023944624, 0.02764232168663983, -0.2138183075138836, -0.0003821621698243593, 0.140791576110546] |
710.1257 | Gauge-Dependence of Green's Functions in QCD and QED | When all Green's functions are known in a given gauge we may raise a question
of whether it is possible or not to derive the corresponding ones in a
different gauge. The answer is negative in QCD but affirmative in QED provided
that we confine ourselves to the covariant gauge characterized by a gauge
parameter $\alpha$. We shall discuss the physical significance of this
conclusion.
| hep-th | when all greens functions are known in a given gauge we may raise a question of whether it is possible or not to derive the corresponding ones in a different gauge the answer is negative in qcd but affirmative in qed provided that we confine ourselves to the covariant gauge characterized by a gauge parameter alpha we shall discuss the physical significance of this conclusion | [['when', 'all', 'greens', 'functions', 'are', 'known', 'in', 'a', 'given', 'gauge', 'we', 'may', 'raise', 'a', 'question', 'of', 'whether', 'it', 'is', 'possible', 'or', 'not', 'to', 'derive', 'the', 'corresponding', 'ones', 'in', 'a', 'different', 'gauge', 'the', 'answer', 'is', 'negative', 'in', 'qcd', 'but', 'affirmative', 'in', 'qed', 'provided', 'that', 'we', 'confine', 'ourselves', 'to', 'the', 'covariant', 'gauge', 'characterized', 'by', 'a', 'gauge', 'parameter', 'alpha', 'we', 'shall', 'discuss', 'the', 'physical', 'significance', 'of', 'this', 'conclusion']] | [-0.13423231625839924, 0.19573996712346203, -0.06488010198451005, 0.14600732411222103, -0.11686746490975986, -0.15607121124003942, 0.057905712920742536, 0.3911579340696335, -0.18895473525716136, -0.25694964150181754, 0.04811481117772368, -0.2399193036871461, -0.15458418731577694, 0.12283638154084865, -0.06741779829160525, 0.01644837296066376, -0.02846979833422945, 0.0697416436786835, -0.06737806326799238, -0.3046071424077337, 0.34884407388476224, 0.0003212101972446992, 0.17864965326510943, 0.1330984933874928, 0.07054063639102073, -0.03992805828411992, -0.050988998969730276, 0.006983923568175389, -0.13354670138807986, 0.055705664650751996, 0.24295062087476255, 0.11478518732608511, 0.2515732950029465, -0.3674472033404387, -0.1887168841293225, 0.11291674794091915, 0.1449115202547266, 0.1437038997331491, -0.021168614400980564, -0.2616268585794247, 0.095112665842932, -0.12952153785154225, -0.1680874362301368, -0.09941649767928398, 0.002275121441254249, -0.09686432947906164, -0.2670979396081888, 0.03585936156316445, 0.04835287082510499, 0.015460812114179134, -0.06307687869188018, -0.08006615250443037, 0.005801190285441967, 0.08136251941547155, 0.08810967971052237, 0.05824836698593572, 0.08171607707985319, -0.1927031201346276, -0.11569669037484205, 0.4356246997244083, -0.03280344523059634, -0.28807548920695597, 0.171102187782526, -0.20661175099846263, -0.18074784845543596, 0.046104968074136055, 0.133260434679687, 0.10678120728295583, -0.15257521550341221, 0.15810855191487533, -0.08437207313433576, 0.1457396886526392, 0.09890981096631059, 0.01567093455590881, 0.19964743183854108, 0.06146040564546218, 0.03746346222380033, 0.1531176188817391, 0.05289574360045103, -0.06660601970327731, -0.38718710851210814, -0.14008452920959547, -0.15261214264632705, 0.147273764390579, -0.029426035471260548, -0.16231189067654597, 0.3722583701081861, 0.2175034631992905, 0.20159627770861754, 0.03491557866621476, 0.22417499885822717, 0.14751022869291214, 0.042740803627440566, 0.03628763218338673, 0.26596181094646454, 0.12380921044386924, 0.0489065687584046, -0.18260620332394656, -0.02327932597209628, 0.08844932231765527] |
710.1258 | Minimization of convex functionals over frame operators | We present results about minimization of convex functionals defined over a
finite set of vectors in a finite dimensional Hilbert space, that extend
several known results for the Benedetto-Fickus frame potential. Our approach
depends on majorization techniques. We also consider some perturbation
problems, where a positive perturbation of the frame operator of a set of
vectors is realized as the frame operator of a set of vectors which is close to
the original one.
| math.FA | we present results about minimization of convex functionals defined over a finite set of vectors in a finite dimensional hilbert space that extend several known results for the benedettofickus frame potential our approach depends on majorization techniques we also consider some perturbation problems where a positive perturbation of the frame operator of a set of vectors is realized as the frame operator of a set of vectors which is close to the original one | [['we', 'present', 'results', 'about', 'minimization', 'of', 'convex', 'functionals', 'defined', 'over', 'a', 'finite', 'set', 'of', 'vectors', 'in', 'a', 'finite', 'dimensional', 'hilbert', 'space', 'that', 'extend', 'several', 'known', 'results', 'for', 'the', 'benedettofickus', 'frame', 'potential', 'our', 'approach', 'depends', 'on', 'majorization', 'techniques', 'we', 'also', 'consider', 'some', 'perturbation', 'problems', 'where', 'a', 'positive', 'perturbation', 'of', 'the', 'frame', 'operator', 'of', 'a', 'set', 'of', 'vectors', 'is', 'realized', 'as', 'the', 'frame', 'operator', 'of', 'a', 'set', 'of', 'vectors', 'which', 'is', 'close', 'to', 'the', 'original', 'one']] | [-0.13050418967582486, 0.05775267997051816, -0.07489653651026783, 0.05171385421291799, -0.04783350423708357, -0.08370973960405241, 0.047535486871729024, 0.33331546408904567, -0.30626840766116575, -0.17387795221765298, 0.1207438518302641, -0.2795882853175941, -0.14397824067320372, 0.20188482415333792, -0.08865105132949916, 0.06757621949135854, 0.0666792079982524, 0.12937754775221283, -0.14978428416243578, -0.2767679564988341, 0.3881790685794643, -0.010244473399644767, 0.2161832136051679, 0.01819325565687708, 0.17362090278844777, 0.026943085614491154, -0.00888069936804272, 0.060262365461361746, -0.10353958317618644, 0.16729513218475356, 0.2548346594919929, 0.1710480083270955, 0.3428679715741325, -0.3695463150034885, -0.22324552676464254, 0.12427084764774032, 0.10825986860672364, 0.08975322903731738, -0.020725248917949864, -0.25954058154712656, 0.0871022955571125, -0.1418610350858118, -0.10246849752887077, -0.09011887791692405, 0.007841595731725966, 0.010305817994112903, -0.32320128899772427, 0.031879653370344534, 0.06866582440262711, 0.03652579400285676, -0.13910836216087477, -0.1202558750047575, 0.031139282698466164, 0.047082203251586574, 0.02718510846072506, 0.09301228586401841, 0.09888084259865856, -0.0341424427410734, -0.13398067779348208, 0.39725621220831936, -0.0864067042012057, -0.2853907119054851, 0.14533433462241413, -0.1440522869658732, -0.09504151115558941, 0.056305627388929996, 0.18357812554097255, 0.17252097455029552, -0.1072248709639786, 0.14202538738656487, -0.13684908031309778, 0.12457574580519183, 0.06699827854597085, 0.055541947880457784, 0.11435494239668588, 0.12800008683651057, 0.1393648274242878, 0.13702825218992862, -0.014590470878583556, -0.09170627463734835, -0.38953922900396426, -0.129582903020688, -0.2409323868593453, 0.007172445514918985, -0.11561552863693922, -0.2044444671089484, 0.42345409900126224, 0.1262563274303338, 0.24761924429519758, 0.08309231197769829, 0.2529923928951895, 0.13097783250555653, 0.05312248674532827, 0.05140065761736116, 0.17102765713895457, 0.14933395091242888, 0.0253944979710001, -0.15764364184704735, -0.028209050972568425, 0.1479134728056001] |
710.1259 | Calculation of surface tension via area sampling | We examine the performance of several molecular simulation techniques aimed
at evaluation of the surface tension through its thermodynamic definition. For
all methods explored, the surface tension is calculated by approximating the
change in Helmholtz free energy associated with a change in interfacial area
through simulation of a liquid slab at constant particle number, volume, and
temperature. The methods explored fall within three general classes:
free-energy perturbation, the Bennett acceptance-ratio scheme, and the expanded
ensemble technique. Calculations are performed for both the truncated
Lennard-Jones and square-well fluids at select temperatures spaced along their
respective liquid-vapor saturation lines. Overall, we find that Bennett and
expanded ensemble approaches provide the best combination of accuracy and
precision. All of the methods, when applied using sufficiently small area
perturbation, generate equivalent results for the Lennard-Jones fluid. However,
single-stage free-energy-perturbation methods and the closely related test-area
technique recently introduced by Gloor et al. [J. Chem. Phys. 123, 134703
(2005)], generate surface tension values for the square-well fluid that are not
consistent with those obtained from the more robust expanded ensemble and
Bennett approaches, regardless of the size of the area perturbation.
Single-stage perturbation methods fail also for the Lennard-Jones system when
applied using large area perturbations. Here an analysis of phase-space overlap
produces a quantitative explanation of the observed inaccuracy, and shows that
the satisfactory results obtained in these cases from the test-area method
arise from a cancellation of errors that cannot be expected in general.
| cond-mat.stat-mech cond-mat.soft | we examine the performance of several molecular simulation techniques aimed at evaluation of the surface tension through its thermodynamic definition for all methods explored the surface tension is calculated by approximating the change in helmholtz free energy associated with a change in interfacial area through simulation of a liquid slab at constant particle number volume and temperature the methods explored fall within three general classes freeenergy perturbation the bennett acceptanceratio scheme and the expanded ensemble technique calculations are performed for both the truncated lennardjones and squarewell fluids at select temperatures spaced along their respective liquidvapor saturation lines overall we find that bennett and expanded ensemble approaches provide the best combination of accuracy and precision all of the methods when applied using sufficiently small area perturbation generate equivalent results for the lennardjones fluid however singlestage freeenergyperturbation methods and the closely related testarea technique recently introduced by gloor et al j chem phys 123 134703 2005 generate surface tension values for the squarewell fluid that are not consistent with those obtained from the more robust expanded ensemble and bennett approaches regardless of the size of the area perturbation singlestage perturbation methods fail also for the lennardjones system when applied using large area perturbations here an analysis of phasespace overlap produces a quantitative explanation of the observed inaccuracy and shows that the satisfactory results obtained in these cases from the testarea method arise from a cancellation of errors that cannot be expected in general | [['we', 'examine', 'the', 'performance', 'of', 'several', 'molecular', 'simulation', 'techniques', 'aimed', 'at', 'evaluation', 'of', 'the', 'surface', 'tension', 'through', 'its', 'thermodynamic', 'definition', 'for', 'all', 'methods', 'explored', 'the', 'surface', 'tension', 'is', 'calculated', 'by', 'approximating', 'the', 'change', 'in', 'helmholtz', 'free', 'energy', 'associated', 'with', 'a', 'change', 'in', 'interfacial', 'area', 'through', 'simulation', 'of', 'a', 'liquid', 'slab', 'at', 'constant', 'particle', 'number', 'volume', 'and', 'temperature', 'the', 'methods', 'explored', 'fall', 'within', 'three', 'general', 'classes', 'freeenergy', 'perturbation', 'the', 'bennett', 'acceptanceratio', 'scheme', 'and', 'the', 'expanded', 'ensemble', 'technique', 'calculations', 'are', 'performed', 'for', 'both', 'the', 'truncated', 'lennardjones', 'and', 'squarewell', 'fluids', 'at', 'select', 'temperatures', 'spaced', 'along', 'their', 'respective', 'liquidvapor', 'saturation', 'lines', 'overall', 'we', 'find', 'that', 'bennett', 'and', 'expanded', 'ensemble', 'approaches', 'provide', 'the', 'best', 'combination', 'of', 'accuracy', 'and', 'precision', 'all', 'of', 'the', 'methods', 'when', 'applied', 'using', 'sufficiently', 'small', 'area', 'perturbation', 'generate', 'equivalent', 'results', 'for', 'the', 'lennardjones', 'fluid', 'however', 'singlestage', 'freeenergyperturbation', 'methods', 'and', 'the', 'closely', 'related', 'testarea', 'technique', 'recently', 'introduced', 'by', 'gloor', 'et', 'al', 'j', 'chem', 'phys', '123', '134703', '2005', 'generate', 'surface', 'tension', 'values', 'for', 'the', 'squarewell', 'fluid', 'that', 'are', 'not', 'consistent', 'with', 'those', 'obtained', 'from', 'the', 'more', 'robust', 'expanded', 'ensemble', 'and', 'bennett', 'approaches', 'regardless', 'of', 'the', 'size', 'of', 'the', 'area', 'perturbation', 'singlestage', 'perturbation', 'methods', 'fail', 'also', 'for', 'the', 'lennardjones', 'system', 'when', 'applied', 'using', 'large', 'area', 'perturbations', 'here', 'an', 'analysis', 'of', 'phasespace', 'overlap', 'produces', 'a', 'quantitative', 'explanation', 'of', 'the', 'observed', 'inaccuracy', 'and', 'shows', 'that', 'the', 'satisfactory', 'results', 'obtained', 'in', 'these', 'cases', 'from', 'the', 'testarea', 'method', 'arise', 'from', 'a', 'cancellation', 'of', 'errors', 'that', 'can', 'not', 'be', 'expected', 'in', 'general']] | [-0.055004395400243024, 0.0942255365608632, -0.08132592872246633, 0.04069630784955333, 0.012830690295293422, -0.1365249608273389, 0.055986899395189166, 0.356381484003485, -0.20763427567849788, -0.3403944129270296, 0.06001279870505934, -0.25594116224891555, -0.1256862114019834, 0.22282750122160336, -0.04396263986798319, 0.07295164118168956, 0.07557010866496396, -0.010960564503798427, -0.09421739805395067, -0.2504498844796602, 0.2574550955777325, 0.07549689500000707, 0.2946221073326049, 0.05013022481037651, 0.07123330214664624, -0.009269080629981205, -0.04150335202329019, 0.10765105951286849, -0.18524752514324866, 0.10014316245372865, 0.23742747857151267, 0.04734701235084084, 0.24875432597394337, -0.4104263694972684, -0.23666408024353403, 0.04869703609314826, 0.10827299929791233, 0.12853369196300726, -0.03204505770375717, -0.2555650675963311, 0.04996203745604824, -0.18001068585110291, -0.14094877561506958, -0.10432331385367187, 0.0037375650668548324, 0.05187798872818456, -0.2567150081129019, 0.13206524999259273, 0.023173470529569785, 0.06854431080836995, -0.06555915338044466, -0.16964747907911523, -0.005967216534634768, 0.08240116142072929, 0.02889304942849992, 0.036513324584259446, 0.1674979441538769, -0.09062538341021213, -0.06870177814192376, 0.3648866678161894, -0.07663856659496945, -0.18965633341478247, 0.2111901096857579, -0.09163029822599837, -0.10182275656231884, 0.19403405415517735, 0.12080326692351157, 0.0993516883187359, -0.12629911494187288, 0.08206019425070134, 0.007329610709132532, 0.1571031644322783, 0.10568406131864383, -0.04733878806858892, 0.20004274030817845, 0.1295251072496886, 0.01285808194592453, 0.1105917236295142, -0.11174453286206452, -0.12559591347703877, -0.2794775215364298, -0.12372436844329429, -0.22435176327737774, -0.028910741879248605, -0.08582588425251435, -0.16439885060279236, 0.3558148167888757, 0.15217309381212976, 0.1623853205296732, 0.054426737431578845, 0.26911438284422096, 0.08197532681416783, 0.035526168652044575, 0.09879071555708109, 0.2648000830692689, 0.13033506914704912, 0.0972104678737304, -0.2373747193255517, 0.01914415751007717, 0.0697770562492532] |
710.126 | Three loop MSbar renormalization of QED in the 't~Hooft-Veltman gauge | Quantum electrodynamics (QED) fixed in the 't~Hooft-Veltman gauge is
renormalized to three loops in the MSbar scheme. The beta-functions and
anomalous dimensions are computed as functions of the usual QED coupling and
the additional coupling, xi, which is introduced as part of the nonlinear gauge
fixing condition. Similar to the maximal abelian gauge of quantum
chromodynamics, the renormalization of the gauge parameter is singular.
| hep-th | quantum electrodynamics qed fixed in the thooftveltman gauge is renormalized to three loops in the msbar scheme the betafunctions and anomalous dimensions are computed as functions of the usual qed coupling and the additional coupling xi which is introduced as part of the nonlinear gauge fixing condition similar to the maximal abelian gauge of quantum chromodynamics the renormalization of the gauge parameter is singular | [['quantum', 'electrodynamics', 'qed', 'fixed', 'in', 'the', 'thooftveltman', 'gauge', 'is', 'renormalized', 'to', 'three', 'loops', 'in', 'the', 'msbar', 'scheme', 'the', 'betafunctions', 'and', 'anomalous', 'dimensions', 'are', 'computed', 'as', 'functions', 'of', 'the', 'usual', 'qed', 'coupling', 'and', 'the', 'additional', 'coupling', 'xi', 'which', 'is', 'introduced', 'as', 'part', 'of', 'the', 'nonlinear', 'gauge', 'fixing', 'condition', 'similar', 'to', 'the', 'maximal', 'abelian', 'gauge', 'of', 'quantum', 'chromodynamics', 'the', 'renormalization', 'of', 'the', 'gauge', 'parameter', 'is', 'singular']] | [-0.1977766523414175, 0.28138549349387176, -0.04800660598266404, 0.09631571920363058, -0.0786815949868469, -0.1805890412069857, -0.020596728158125188, 0.30177645542426035, -0.16839043113577645, -0.23837941760575632, 0.017179053978907177, -0.2614138773060404, -0.11064815926511073, 0.10599894779443275, 0.017864027002360672, 0.13415417353098746, -0.06647282461926807, 0.05887799843912944, -0.08869482847876498, -0.2742822451109532, 0.3675479785306379, -0.0009168454380414914, 0.2552807215615758, 0.11801679991185665, 0.13283245955244638, -0.022276428011537064, -0.020471648102102336, -0.016306467732647434, -0.05033625292708166, 0.057396978369069984, 0.2049242418142967, -0.05710740774520673, 0.1770035254303366, -0.33157772876438685, -0.18548824201570824, 0.045552168379799696, 0.13574304465873865, 0.1262495860009949, 0.03917382713552797, -0.30961613601539284, 0.048076743143610656, -0.1635536933754338, -0.16169700593309244, -0.09792881064640824, -0.051867182533896994, -0.12953757104696706, -0.31945128382358234, 0.04879876702761976, -0.03530117170885205, 0.04693564906483516, 0.023310798082093243, -0.07234349513601046, -0.04450651753722923, 0.1019969223998487, 0.1263475628256856, 0.08216390904271975, 0.13298005940305302, -0.21508959609491285, -0.15948720104643144, 0.44147051318213926, -0.09814755707338918, -0.23766327352495864, 0.1185659839247819, -0.11945615975855617, -0.13457684991408314, 0.06672028722641699, 0.08529542006363044, 0.11802177433855832, -0.13027058180887252, 0.270289943609896, -0.035162922395102214, 0.10785693664001883, 0.06684810334263602, 0.09075839403385544, 0.089357140721404, 0.03401828748610569, 0.027172346934094094, 0.12077464756293921, 0.03162622661329806, -0.17731205295422114, -0.492117910500383, -0.1453197390801506, -0.13922024676867295, 0.11668670222570654, -0.18895703414409581, -0.21368338557658717, 0.37486177924273534, 0.16316337329044472, 0.1435646704485407, 0.0016361156613129424, 0.28066171607133583, 0.20912484876680537, 0.14533421330270357, 0.009420733702427242, 0.2827394728374202, 0.21124281905940734, 0.034219265275169164, -0.33860941095190356, -0.12040692624577787, 0.23679875743982848] |
710.1261 | Coulomb distortion effects in quasi-elastic (e,e') scattering on heavy
nuclei | The influence of the Coulomb distortion for quasi-elastic (e,e') scattering
on highly charged nuclei is investigated in distorted wave Born approximation
for electrons. The Dirac equation is solved numerically in order to obtain
exact electron continuum states in the electrostatic field generated by the
charge distribution of an atomic nucleus. Different approximate models are used
to describe the nucleon current in order to show that, at high electron
energies and energy-momentum transfer, the influence of Coulomb distortions on
(e,e') cross sections can be reliably described by the effective momentum
approximation, irrespective of details concerning the description of the
nuclear current.
| nucl-th | the influence of the coulomb distortion for quasielastic ee scattering on highly charged nuclei is investigated in distorted wave born approximation for electrons the dirac equation is solved numerically in order to obtain exact electron continuum states in the electrostatic field generated by the charge distribution of an atomic nucleus different approximate models are used to describe the nucleon current in order to show that at high electron energies and energymomentum transfer the influence of coulomb distortions on ee cross sections can be reliably described by the effective momentum approximation irrespective of details concerning the description of the nuclear current | [['the', 'influence', 'of', 'the', 'coulomb', 'distortion', 'for', 'quasielastic', 'ee', 'scattering', 'on', 'highly', 'charged', 'nuclei', 'is', 'investigated', 'in', 'distorted', 'wave', 'born', 'approximation', 'for', 'electrons', 'the', 'dirac', 'equation', 'is', 'solved', 'numerically', 'in', 'order', 'to', 'obtain', 'exact', 'electron', 'continuum', 'states', 'in', 'the', 'electrostatic', 'field', 'generated', 'by', 'the', 'charge', 'distribution', 'of', 'an', 'atomic', 'nucleus', 'different', 'approximate', 'models', 'are', 'used', 'to', 'describe', 'the', 'nucleon', 'current', 'in', 'order', 'to', 'show', 'that', 'at', 'high', 'electron', 'energies', 'and', 'energymomentum', 'transfer', 'the', 'influence', 'of', 'coulomb', 'distortions', 'on', 'ee', 'cross', 'sections', 'can', 'be', 'reliably', 'described', 'by', 'the', 'effective', 'momentum', 'approximation', 'irrespective', 'of', 'details', 'concerning', 'the', 'description', 'of', 'the', 'nuclear', 'current']] | [-0.07885851299157366, 0.1580877862185298, -0.04528170836158097, 0.16626305991085247, 0.025471614887937904, -0.060137002525734715, -0.007522119055502117, 0.3604357734322548, -0.23969681993126868, -0.2726043210551143, -0.05576845753006637, -0.3222114256769419, -0.02809225053526461, 0.13278891699388623, 0.09553015578538179, 0.03635063367895782, 0.01369390045059845, 0.03237683590501547, -0.09168413810199126, -0.19112619726918637, 0.33355639821849764, 0.11890350609552115, 0.2808606647141278, 0.15014028804500412, 0.07943954014219344, 0.09364383894950151, 0.01780966455116868, 0.01202303709462285, -0.1086711116720835, 0.08040342130174395, 0.26552902832791003, -0.022499788533896208, 0.15039918204303832, -0.4737602386251092, -0.18000269414391368, 0.036945364540442824, 0.17336071577388792, 0.1562608388438821, -0.06712830522330478, -0.28120232905261217, 0.04920426421100274, -0.18738436633720995, -0.16821663051843644, -0.11401202661450953, 0.00713859310024418, 0.06459529683193069, -0.27608680609147995, 0.1051320446524187, -0.006722782026045025, -0.030766087183728814, -0.13526716227643193, -0.13929083382710813, -0.022471873016329483, 0.05699111811816692, 0.058137172679416836, 0.04790908680064604, 0.18347574980929493, -0.15678476506844163, -0.07941005904693156, 0.400823175990954, -0.032476096872705966, -0.2270722969248891, 0.10920740920584648, -0.20079867875669152, -0.031118777540978044, 0.21110213943757117, 0.1973059498425573, 0.10251732382923365, -0.18181974274106324, 0.12136477578380436, -0.0014379984697734471, 0.13303178979083896, 0.0881090760906227, 0.03215532712172717, 0.2036940157134086, 0.1327162157697603, 0.009159645400941371, 0.06936744510079734, -0.12289864901453257, -0.1010456582927145, -0.2822302831709385, -0.07911799246794544, -0.19464663903461768, 0.08903186492665555, -0.04315568513688049, -0.13720055715704801, 0.4012850787473144, 0.11054356331937015, 0.17875101211480796, -0.06473278584890067, 0.305885821050033, 0.18816408840939403, 0.018612900087609886, 0.06160441580694169, 0.32527475417824464, 0.17170436054933816, 0.07309923310764134, -0.3093028305005282, 0.045233475286513565, 0.09245483620092272] |
710.1262 | Algorithmically detecting the bridge number of hyperbolic knots | We exhibit an algorithm to determine the bridge number of a hyperbolic knot
in the 3-sphere. The proof uses adaptations of almost normal surface theory for
compact surfaces with boundary in ideally triangulated knot exteriors.
| math.GT | we exhibit an algorithm to determine the bridge number of a hyperbolic knot in the 3sphere the proof uses adaptations of almost normal surface theory for compact surfaces with boundary in ideally triangulated knot exteriors | [['we', 'exhibit', 'an', 'algorithm', 'to', 'determine', 'the', 'bridge', 'number', 'of', 'a', 'hyperbolic', 'knot', 'in', 'the', '3sphere', 'the', 'proof', 'uses', 'adaptations', 'of', 'almost', 'normal', 'surface', 'theory', 'for', 'compact', 'surfaces', 'with', 'boundary', 'in', 'ideally', 'triangulated', 'knot', 'exteriors']] | [-0.21663882789601172, 0.06953342018490989, -0.16815117626850093, 0.07840610503086022, -0.13163629759635245, -0.19947900158752288, 0.005397034313396684, 0.37224652442548956, -0.27102306341486315, -0.3359807321003505, 0.06584613659153027, -0.20113038303596634, -0.1953237707061427, 0.21611578954117638, -0.20608851726033858, -0.015504064677017076, 0.0536665196663567, 0.059980995740209306, -0.07245740122827037, -0.20991235630852836, 0.36408737090283205, -0.06598181437168803, 0.18090100288391114, 0.07529157751372882, 0.07795793839863369, -0.02880299992061087, -0.02656967705115676, 0.02567017174192837, -0.2249915212126715, 0.10735203297808767, 0.2621514745056629, 0.014342543802091054, 0.08637656395855758, -0.4502748640387186, -0.12741572040000132, 0.10599773310657058, 0.11950843802520207, 0.01691513716775392, -0.04840834066271782, -0.2417634051825319, 0.06424722743353674, -0.08721298474286283, -0.2659752808511257, -0.003020537830889225, -0.0069841833785176275, 0.01533689411090953, -0.12029085169945444, -0.03526963378701891, 0.07916815843699233, 0.10126612710633448, -0.03754818846604654, -0.05815132197790912, -0.03683848192117044, 0.1346750884982092, 0.013089211684252535, 0.07238395477512054, 0.09405940545174027, -0.12365644206958158, -0.11079361068883113, 0.33210093613181796, -0.10040767131639379, -0.27801937673773086, 0.20027612413146667, -0.13200318760105542, -0.17185650853706258, 0.26537147568804875, 0.11177712913070406, 0.1562600272574595, -0.02872339119868619, 0.11338982848184449, -0.12579227185342462, 0.12676459455064365, 0.12299946461405073, -0.06521962795938764, 0.18696104596768107, 0.15278507662670954, 0.1468119216816766, 0.17399610398071153, -0.05086828039160796, -0.05020874081445592, -0.32050818524190355, -0.3239932463903512, -0.19212465829082898, 0.05939233232555645, -0.11879590753731983, -0.29358572943934375, 0.32844463818307434, -0.012562224348740918, 0.1538149302027055, 0.15140737404248544, 0.2512052670121193, -0.01902826194085979, 0.07909245564203177, 0.16994858506908972, 0.15195938306195395, 0.20284197128244807, -0.04552184859556811, -0.11750825217791966, -0.04345281001712595, 0.22011676340230873] |
710.1263 | Preparing for N_f=2 simulations at small lattice spacings | We discuss some large effects of dynamical fermions. One is a cutoff effect,
others concern the contribution of multi-pion states to correlation functions
and are expected to survive the continuum limit. We then turn to the
preparation for simulations at small lattice spacings which we are planning
down to around a=0.04fm in order to understand the size of O(a^2)-effects of
the standard O(a)-improved theory. The dependence of the lattice spacing on the
bare coupling is determined through the Schr"odinger functional renormalized
coupling.
| hep-lat | we discuss some large effects of dynamical fermions one is a cutoff effect others concern the contribution of multipion states to correlation functions and are expected to survive the continuum limit we then turn to the preparation for simulations at small lattice spacings which we are planning down to around a004fm in order to understand the size of oa2effects of the standard oaimproved theory the dependence of the lattice spacing on the bare coupling is determined through the schrodinger functional renormalized coupling | [['we', 'discuss', 'some', 'large', 'effects', 'of', 'dynamical', 'fermions', 'one', 'is', 'a', 'cutoff', 'effect', 'others', 'concern', 'the', 'contribution', 'of', 'multipion', 'states', 'to', 'correlation', 'functions', 'and', 'are', 'expected', 'to', 'survive', 'the', 'continuum', 'limit', 'we', 'then', 'turn', 'to', 'the', 'preparation', 'for', 'simulations', 'at', 'small', 'lattice', 'spacings', 'which', 'we', 'are', 'planning', 'down', 'to', 'around', 'a004fm', 'in', 'order', 'to', 'understand', 'the', 'size', 'of', 'oa2effects', 'of', 'the', 'standard', 'oaimproved', 'theory', 'the', 'dependence', 'of', 'the', 'lattice', 'spacing', 'on', 'the', 'bare', 'coupling', 'is', 'determined', 'through', 'the', 'schrodinger', 'functional', 'renormalized', 'coupling']] | [-0.12704908007581253, 0.21657442197902127, -0.09112039983156137, 0.10660577907983679, -0.03473961125127971, -0.06208705745084444, 0.07356628975685453, 0.36281525387894364, -0.2571223031496629, -0.27903644581092524, 0.08408849718252895, -0.3374739274411695, -0.06667827732744627, 0.11309109798166901, 0.029731858434388414, 0.05127508387668058, 0.023833914042916148, 0.017184751477907413, -0.07617235203506426, -0.22283176417695358, 0.3312644969933899, 0.05081090937310364, 0.24675757795630487, 0.13763926128449383, 0.03149650989798829, 0.0078044111432973295, 0.016813150752568617, -0.0031015913700684905, -0.13949201915529558, 0.08376197045145091, 0.16254197558155284, -0.04421602547517978, 0.260393036250025, -0.4095831965096295, -0.1746817739556718, 0.06908488778863102, 0.12249531360866968, 0.14511899300123332, 0.046374613330408467, -0.24574416243995073, 0.06694215905154124, -0.14471015590243042, -0.20498402680823347, -0.08391452364157885, 0.00905947249266319, -0.015085229102987796, -0.2932265007868409, 0.08119632590096444, -0.01670389942191832, 0.027465186722110957, -0.020077810865768698, -0.13046784553444013, -0.03909273691242561, 0.17096174265170702, 0.08026113127125427, 0.017300478520337493, 0.1394487513927743, -0.1310975492815487, -0.0751672951526416, 0.41657218168256804, -0.09307250949932495, -0.19635797820628795, 0.19050076248822734, -0.19655013813171535, -0.13473241863539442, 0.108831263682805, 0.18037790597882122, 0.07969026349019259, -0.12844655156950466, 0.0838850067979365, 0.01254366106368252, 0.18583773861464578, 0.052493809850420806, 0.07643998065032065, 0.20255659334361553, 0.1736047095968388, 0.0226938642852474, 0.12169024167233147, -0.06886714041174855, -0.1559404745057691, -0.3134769037365913, -0.06615609601140023, -0.18968780846334993, 0.07804556590272113, -0.08693006249359314, -0.17025436067488045, 0.3846058595692739, 0.19269721344462595, 0.18250466178869829, 0.05704328015926876, 0.21716582858935, 0.16039787015106413, 0.12642929196008482, 0.012260763940867036, 0.26522604884994505, 0.1435237546917051, 0.045920729637145996, -0.3102308493747842, -0.04311248927260749, 0.07198950269375928] |
710.1264 | Photo-gating Carbon Nanotube Transistors | Optoelectronic measurements of carbon nanotube transistors have shown a wide
variety of sensitivites to the incident light. Direct photocurrent processes
compete with a number of extrinsic mechanisms. Here we show that visible light
absorption in the silicon substrate generates a photovoltage that can
electrically gate the nanotube device. The photocurrent induced by the changing
gate voltage can be significantly larger than that due to direct electron-hole
pair generation in the nanotube. The dominance of photogating in these devices
is confirmed by the power and position dependence of the resulting
photocurrent. The power dependence is strongly non-linear and photocurrents are
measured through the device even when the laser illuminates up to 1~mm from the
nanotube.
| cond-mat.mtrl-sci | optoelectronic measurements of carbon nanotube transistors have shown a wide variety of sensitivites to the incident light direct photocurrent processes compete with a number of extrinsic mechanisms here we show that visible light absorption in the silicon substrate generates a photovoltage that can electrically gate the nanotube device the photocurrent induced by the changing gate voltage can be significantly larger than that due to direct electronhole pair generation in the nanotube the dominance of photogating in these devices is confirmed by the power and position dependence of the resulting photocurrent the power dependence is strongly nonlinear and photocurrents are measured through the device even when the laser illuminates up to 1mm from the nanotube | [['optoelectronic', 'measurements', 'of', 'carbon', 'nanotube', 'transistors', 'have', 'shown', 'a', 'wide', 'variety', 'of', 'sensitivites', 'to', 'the', 'incident', 'light', 'direct', 'photocurrent', 'processes', 'compete', 'with', 'a', 'number', 'of', 'extrinsic', 'mechanisms', 'here', 'we', 'show', 'that', 'visible', 'light', 'absorption', 'in', 'the', 'silicon', 'substrate', 'generates', 'a', 'photovoltage', 'that', 'can', 'electrically', 'gate', 'the', 'nanotube', 'device', 'the', 'photocurrent', 'induced', 'by', 'the', 'changing', 'gate', 'voltage', 'can', 'be', 'significantly', 'larger', 'than', 'that', 'due', 'to', 'direct', 'electronhole', 'pair', 'generation', 'in', 'the', 'nanotube', 'the', 'dominance', 'of', 'photogating', 'in', 'these', 'devices', 'is', 'confirmed', 'by', 'the', 'power', 'and', 'position', 'dependence', 'of', 'the', 'resulting', 'photocurrent', 'the', 'power', 'dependence', 'is', 'strongly', 'nonlinear', 'and', 'photocurrents', 'are', 'measured', 'through', 'the', 'device', 'even', 'when', 'the', 'laser', 'illuminates', 'up', 'to', '1mm', 'from', 'the', 'nanotube']] | [-0.14308311384628666, 0.2031789697723183, -0.022032938110003397, -0.0649717808701098, -0.01788378594673972, -0.1803946446882874, 0.06713477823784393, 0.4798824798019059, -0.28880986485597304, -0.3236642028575977, -0.015258717030262063, -0.2913658907307328, -0.141281917085459, 0.2942986681200234, -0.01808963536565085, 0.008538613635716976, 0.023694440652410276, -0.10027943279973306, 0.001444119150313524, -0.1667694152349326, 0.23894632195608806, 0.04334155395132514, 0.34624678098835643, 0.15336521318495538, 0.07543266221336954, -0.02083043208906213, 0.042948473195454716, 0.02757167517809214, -0.05109383335095713, 0.08483175704239217, 0.21906878933335233, -0.06678744636278237, 0.20815096036489822, -0.47604826415798307, -0.20855470558430636, 0.029884257943130436, 0.11895171995892857, 0.13162254522126005, -0.09559880070845736, -0.2551429763485768, 0.11628802347540922, -0.12812941635967093, -0.043128602334326006, -0.0068826876020273275, 0.013065420565055271, 0.06187957264400557, -0.2323817521152375, 0.015810543439449924, 0.02715074223161271, -0.006158580817591267, -0.002447688737415412, -0.07970840361101174, -0.1220165797987277, 0.06346955540563202, 0.026175957558412864, -0.002555955198296733, 0.30302944058599773, -0.14536731291265614, -0.12629032849032323, 0.34593841285172816, -0.1079717728921544, -0.1082325754769608, 0.112283160664817, -0.22875487954413468, 0.04240659006615787, 0.17913155541219541, 0.13095089043202127, 0.1274911749415693, -0.16406706572096666, 0.042879715921414964, 0.007526233409061632, 0.20086208408063821, 0.09255920256183078, 0.1281243983730344, 0.2633210704167398, 0.20050800773335736, 0.07721970071068314, 0.13270829030955458, -0.13820594358793667, 0.026192155172141778, -0.23487818025184415, -0.1538766023447424, -0.18327618296365294, 0.1425063868704359, -0.0661365230110849, -0.15131606440038206, 0.4598244398758145, 0.13073349538242723, 0.15224443097491708, -0.023968118234677652, 0.3231044773144268, 0.16598139021574496, 0.13960414259504955, -0.04564366482643295, 0.29946268545216426, 0.16457488070101997, 0.10309403493126805, -0.30542031897281385, 0.0956530112616586, -0.08190658753655389] |
710.1265 | Quantum Monte Carlo calculations of electroweak transition matrix
elements in A = 6,7 nuclei | Green's function Monte Carlo calculations of magnetic dipole, electric
quadrupole, Fermi, and Gamow-Teller transition matrix elements are reported for
A=6,7 nuclei. The matrix elements are extrapolated from mixed estimates that
bracket the relevant electroweak operator between variational Monte Carlo and
GFMC propagated wave functions. Because they are off-diagonal terms, two mixed
estimates are required for each transition, with a VMC initial (final) state
paired with a GFMC final (initial) state. The realistic Argonne v18 two-nucleon
and Illinois-2 three-nucleon interactions are used to generate the nuclear
states. In most cases we find good agreement with experimental data.
| nucl-th | greens function monte carlo calculations of magnetic dipole electric quadrupole fermi and gamowteller transition matrix elements are reported for a67 nuclei the matrix elements are extrapolated from mixed estimates that bracket the relevant electroweak operator between variational monte carlo and gfmc propagated wave functions because they are offdiagonal terms two mixed estimates are required for each transition with a vmc initial final state paired with a gfmc final initial state the realistic argonne v18 twonucleon and illinois2 threenucleon interactions are used to generate the nuclear states in most cases we find good agreement with experimental data | [['greens', 'function', 'monte', 'carlo', 'calculations', 'of', 'magnetic', 'dipole', 'electric', 'quadrupole', 'fermi', 'and', 'gamowteller', 'transition', 'matrix', 'elements', 'are', 'reported', 'for', 'a67', 'nuclei', 'the', 'matrix', 'elements', 'are', 'extrapolated', 'from', 'mixed', 'estimates', 'that', 'bracket', 'the', 'relevant', 'electroweak', 'operator', 'between', 'variational', 'monte', 'carlo', 'and', 'gfmc', 'propagated', 'wave', 'functions', 'because', 'they', 'are', 'offdiagonal', 'terms', 'two', 'mixed', 'estimates', 'are', 'required', 'for', 'each', 'transition', 'with', 'a', 'vmc', 'initial', 'final', 'state', 'paired', 'with', 'a', 'gfmc', 'final', 'initial', 'state', 'the', 'realistic', 'argonne', 'v18', 'twonucleon', 'and', 'illinois2', 'threenucleon', 'interactions', 'are', 'used', 'to', 'generate', 'the', 'nuclear', 'states', 'in', 'most', 'cases', 'we', 'find', 'good', 'agreement', 'with', 'experimental', 'data']] | [-0.06172481908119823, 0.22673316969487228, -0.06299850818468258, 0.16817684564739466, 0.0016160427543677781, -0.10360785958994376, -0.01997026937376512, 0.4214378023618146, -0.17398493739065568, -0.29158326425883724, -0.01628643685804778, -0.3604835622208683, -0.04651873132802154, 0.13926975293281046, 0.1437952620908618, 0.10820630922006737, 0.16570892466330214, -0.009826325644787989, -0.1982288738541109, -0.16256427743325108, 0.3131846715941241, 0.025433147512376308, 0.2108124743764117, 0.01113349107143126, 0.04450140163228896, 0.03212502614938115, 0.028163390788004585, -0.07365635842390092, -0.11388496988197164, 0.09120274205924943, 0.2930286162777951, 0.004683219161080687, 0.1768045491293857, -0.4846119248553326, -0.12414597374828239, 0.10378031849272941, 0.11568820189169951, 0.19105988523285639, -0.06677491292847615, -0.341867590185843, -0.009562836420771322, -0.24233346734882186, -0.1322432027933629, -0.16349228623960363, -0.03801138199571716, 0.0922322891401372, -0.38055130064879594, 0.10555557126277372, -0.1334260095155945, 0.03070586682718529, -0.118939002659662, -0.29244235536377683, -0.05185414660158322, 0.09409228054512488, 0.003088506602829224, 0.10026481683905188, 0.15589445510290956, -0.10012426929928264, -0.06111420865513777, 0.34612864903909596, 0.0012886692426706614, -0.1771342576530419, 0.13543477450056296, -0.15549206155303277, -0.12487454353586623, 0.1665723394896639, 0.1002387390974419, 0.07856125225754161, -0.1729570130768575, 0.07646735073128519, 0.015653576118730646, 0.15717629472676076, -0.022956223545694036, 0.006988498626665923, 0.12848828193780623, 0.08917209360944597, -0.012330032783364387, 0.06815280996655163, -0.0870354547802555, -0.18060666566567593, -0.3526366804383303, -0.05958365295572501, -0.23444307784696944, 0.009187998349845752, -0.08784605725377333, -0.19546720045373628, 0.3425752512326366, 0.13585889113478755, 0.14490280764079408, -0.0004779996595492488, 0.2774029296381693, 0.11000171114053381, 0.0389979333861878, 0.0656395838007723, 0.2776276738431893, 0.22743980433105637, 0.04854281452533446, -0.26759162867735875, 0.07871023848358738, 0.11683713319760404] |
710.1266 | Collisional Energy Loss of a Fast Muon in a Hot QED Plasma | We calculate the collisional energy loss of a muon of high energy $E$ in a
hot QED plasma beyond logarithmic accuracy, i.e., we determine the constant
terms of order O(1) in $-dE/dx \propto \ln{E}+ O(1)$. Considering first the
$t$-channel contribution to $-dE/dx$, we show that the terms $\sim O(1)$ are
sensitive to the full kinematic region for the momentum exchange $q$ in elastic
scattering, including large values $q \sim O(E)$. We thus redress a previous
calculation by Braaten and Thoma, which assumed $q << E$ and could not find the
correct constant (in the large $E$ limit). The relevance of 'very hard'
momentum transfers then requires, for consistency, that $s$ and $u$-channel
contributions from Compton scattering must be included, bringing a second
modification to the Braaten-Thoma result. Most importantly, Compton scattering
yields an additional large logarithm in $-dE/dx$. Our results might have
implications in the QCD case of parton collisional energy loss in a quark gluon
plasma.
| hep-ph | we calculate the collisional energy loss of a muon of high energy e in a hot qed plasma beyond logarithmic accuracy ie we determine the constant terms of order o1 in dedx propto lne o1 considering first the tchannel contribution to dedx we show that the terms sim o1 are sensitive to the full kinematic region for the momentum exchange q in elastic scattering including large values q sim oe we thus redress a previous calculation by braaten and thoma which assumed q e and could not find the correct constant in the large e limit the relevance of very hard momentum transfers then requires for consistency that s and uchannel contributions from compton scattering must be included bringing a second modification to the braatenthoma result most importantly compton scattering yields an additional large logarithm in dedx our results might have implications in the qcd case of parton collisional energy loss in a quark gluon plasma | [['we', 'calculate', 'the', 'collisional', 'energy', 'loss', 'of', 'a', 'muon', 'of', 'high', 'energy', 'e', 'in', 'a', 'hot', 'qed', 'plasma', 'beyond', 'logarithmic', 'accuracy', 'ie', 'we', 'determine', 'the', 'constant', 'terms', 'of', 'order', 'o1', 'in', 'dedx', 'propto', 'lne', 'o1', 'considering', 'first', 'the', 'tchannel', 'contribution', 'to', 'dedx', 'we', 'show', 'that', 'the', 'terms', 'sim', 'o1', 'are', 'sensitive', 'to', 'the', 'full', 'kinematic', 'region', 'for', 'the', 'momentum', 'exchange', 'q', 'in', 'elastic', 'scattering', 'including', 'large', 'values', 'q', 'sim', 'oe', 'we', 'thus', 'redress', 'a', 'previous', 'calculation', 'by', 'braaten', 'and', 'thoma', 'which', 'assumed', 'q', 'e', 'and', 'could', 'not', 'find', 'the', 'correct', 'constant', 'in', 'the', 'large', 'e', 'limit', 'the', 'relevance', 'of', 'very', 'hard', 'momentum', 'transfers', 'then', 'requires', 'for', 'consistency', 'that', 's', 'and', 'uchannel', 'contributions', 'from', 'compton', 'scattering', 'must', 'be', 'included', 'bringing', 'a', 'second', 'modification', 'to', 'the', 'braatenthoma', 'result', 'most', 'importantly', 'compton', 'scattering', 'yields', 'an', 'additional', 'large', 'logarithm', 'in', 'dedx', 'our', 'results', 'might', 'have', 'implications', 'in', 'the', 'qcd', 'case', 'of', 'parton', 'collisional', 'energy', 'loss', 'in', 'a', 'quark', 'gluon', 'plasma']] | [-0.1023380881595996, 0.2020231519924334, -0.06048532299877655, 0.11629060655531864, -0.051598447633366434, -0.07124216084729039, 0.05069879670120445, 0.31742695345873795, -0.21965140660158208, -0.31056182314341346, -0.030816085924274258, -0.3097482041485848, -0.0032420613412414826, 0.1560768253410295, 0.012231374960655586, 0.058712388295774166, 0.047793460990332305, 0.013208296549536529, -0.03908196218732384, -0.19960287753868128, 0.2832325277549605, 0.09889683618600811, 0.1836589779524553, 0.17885484186511846, 0.07451070643540832, 0.05568120395464282, -0.043171786877416796, -0.03074041213840246, -0.1300647354364628, 0.04647854748031786, 0.23737655682601935, 0.022848729642047996, 0.19053056380681455, -0.3760546233625181, -0.16511659496463835, 0.08312911276213615, 0.1622734414894254, 0.06931677914990653, -0.003578813301940118, -0.15940451418169804, 0.07795994019796772, -0.23940868126979517, -0.13808564873892934, -0.09548946534613928, 0.033283523935824635, -0.030788189830679085, -0.34417612661096836, 0.09358773804119518, 0.040356722516157933, -0.04120860117818079, -0.05425474161071883, -0.17288719974758646, -0.012817413786486272, 0.035623068356465906, 0.09489715515988909, 0.10005654660804618, 0.13789511618294542, -0.17852561636978098, -0.09679174971947026, 0.3916169931090647, -0.08793914568415212, -0.15527177970375747, 0.1277908705265051, -0.21791872971300635, -0.11139556885726991, 0.1986332692205906, 0.16809466100718465, 0.1016232785199874, -0.13727255828318097, 0.14122379203139235, 0.006718025500548163, 0.177564804003604, 0.11447502773315195, 0.0600899534360055, 0.14875924229742057, 0.11976139455763322, -0.016312289933463738, 0.09414788379499148, -0.11795377889798293, -0.05362082435449045, -0.39062547060030123, -0.10984421394044352, -0.1581055951680267, 0.09149487487710788, -0.13705788354751758, -0.10486328157806589, 0.3060037672159172, 0.11466382438581692, 0.2657202266321908, 0.020801347825345734, 0.3174141861017673, 0.14782178425117426, 0.08345356011808279, 0.12525909482952088, 0.2793621500353179, 0.1253976295266541, 0.11688782983129063, -0.2632406897273951, 0.04958131884435012, 0.039859193629555166] |
710.1267 | Production of a pion in association with a high-Q2 dilepton pair in
antiproton-proton annihilation at GSI-FAIR | We evaluate the cross section for anti-p p -> l+ l- pi0 in the forward
direction and for large lepton pair invariant mass. In this kinematical region,
the leading-twist amplitude factorises into a short-distance matrix element,
long-distance dominated antiproton Distribution Amplitudes and proton to pion
Transition Distribution Amplitudes (TDA). Using a modelling inspired from the
chiral limit for these TDAs, we obtain a first estimate of this cross section,
thus demonstrating that this process can be measured at GSI-FAIR.
| hep-ph hep-ex nucl-th | we evaluate the cross section for antip p l l pi0 in the forward direction and for large lepton pair invariant mass in this kinematical region the leadingtwist amplitude factorises into a shortdistance matrix element longdistance dominated antiproton distribution amplitudes and proton to pion transition distribution amplitudes tda using a modelling inspired from the chiral limit for these tdas we obtain a first estimate of this cross section thus demonstrating that this process can be measured at gsifair | [['we', 'evaluate', 'the', 'cross', 'section', 'for', 'antip', 'p', 'l', 'l', 'pi0', 'in', 'the', 'forward', 'direction', 'and', 'for', 'large', 'lepton', 'pair', 'invariant', 'mass', 'in', 'this', 'kinematical', 'region', 'the', 'leadingtwist', 'amplitude', 'factorises', 'into', 'a', 'shortdistance', 'matrix', 'element', 'longdistance', 'dominated', 'antiproton', 'distribution', 'amplitudes', 'and', 'proton', 'to', 'pion', 'transition', 'distribution', 'amplitudes', 'tda', 'using', 'a', 'modelling', 'inspired', 'from', 'the', 'chiral', 'limit', 'for', 'these', 'tdas', 'we', 'obtain', 'a', 'first', 'estimate', 'of', 'this', 'cross', 'section', 'thus', 'demonstrating', 'that', 'this', 'process', 'can', 'be', 'measured', 'at', 'gsifair']] | [-0.0897802908021288, 0.2036398520740943, -0.14404316837541187, 0.1360793735300318, -0.01029019134465414, -0.07001621813068572, 0.05937957210848347, 0.33544668333175093, -0.22556267521129206, -0.19907592862653425, -0.0828806245729375, -0.30401943669391746, -0.009537445462625235, 0.12915847530343738, 0.0882113178597184, 0.1173503312568825, 0.07238735647227329, -0.005432697741362529, -0.05952306195663718, -0.11015531829653834, 0.3324131190848465, 0.01944102588085792, 0.25746038995790654, 0.14372930964693809, 0.062454553882185466, 0.09728146472181647, -0.08965380860564227, -0.0769642140620794, -0.14450587406174284, 0.07333402130573702, 0.29445212699460965, 0.0377633984391697, 0.052067630482503235, -0.33668478689371395, -0.10434732998673542, 0.13608233645880738, 0.21461974202583617, 0.09119226399641962, 0.01868899914030081, -0.3026116789581302, 0.11717640350644405, -0.23425126034850016, -0.16021006369294646, -0.07760481560566965, 0.08331528051386182, -0.07111893085321078, -0.35539164870249057, 0.060648040887780294, -0.010079933246836448, 0.0095827238013347, 0.03296527747984211, -0.23203837994533855, 0.009888857522477897, 0.053911366052209184, 0.08577106744371868, 0.09901969980161923, 0.1583218114474454, -0.13129534229599998, -0.0895755180181601, 0.3434906451401707, -0.05180885675452793, -0.16930318161701927, 0.03515057776791927, -0.24586421449501544, -0.16534813541847354, 0.1877708968061667, 0.23232127644885808, 0.06647570956593905, -0.18885231342835304, 0.11394845195060882, -0.006531878541677426, 0.15659596991146174, 0.1366074605104633, 0.012622072516630093, 0.1904534069576468, 0.17144864350587177, -0.01918508956590906, 0.038813914808158115, -0.15222370728420523, -0.06995848422117817, -0.42300967752742463, -0.12804090364788395, -0.10286680912861648, 0.09086846796353945, -0.0705260149712931, -0.08788150099989696, 0.3341393734161288, 0.06723421279532023, 0.32632178379795873, 0.04304001101244909, 0.3465587367148449, 0.16025068707620868, 0.059695195991736956, 0.06817187792740953, 0.2504102957363312, 0.2034487891345261, 0.13782472890586808, -0.23158016424470892, 0.040098510951233596, 0.0907270319876261] |
710.1268 | Top Hypercharge | We propose a top hypercharge model with gauge symmetry SU(3)_C x SU(2)_L x
U(1)_1 x U(1)_2 where the first two families of the Standard Model (SM)
fermions are charged under U(1)_1 while the third family is charged under
U(1)_2. The U(1)_1 x U(1)_2 gauge symmetry is broken down to the U(1)_Y gauge
symmetry, when a SM singlet Higgs field acquires a vacuum expectation value. We
consider the electroweak constraints, and compare the fit to experimental
observables to that of the SM. We study the quark CKM mixing between the first
two families and the third family, the neutrino masses and mixing, the flavour
changing neutral current effects in meson mixing and decays, the Z' discovery
potential at the Large Hadron Collider, the dark matter with a gauged Z_2
symmetry, and the Higgs boson masses.
| hep-ph | we propose a top hypercharge model with gauge symmetry su3_c x su2_l x u1_1 x u1_2 where the first two families of the standard model sm fermions are charged under u1_1 while the third family is charged under u1_2 the u1_1 x u1_2 gauge symmetry is broken down to the u1_y gauge symmetry when a sm singlet higgs field acquires a vacuum expectation value we consider the electroweak constraints and compare the fit to experimental observables to that of the sm we study the quark ckm mixing between the first two families and the third family the neutrino masses and mixing the flavour changing neutral current effects in meson mixing and decays the z discovery potential at the large hadron collider the dark matter with a gauged z_2 symmetry and the higgs boson masses | [['we', 'propose', 'a', 'top', 'hypercharge', 'model', 'with', 'gauge', 'symmetry', 'su3_c', 'x', 'su2_l', 'x', 'u1_1', 'x', 'u1_2', 'where', 'the', 'first', 'two', 'families', 'of', 'the', 'standard', 'model', 'sm', 'fermions', 'are', 'charged', 'under', 'u1_1', 'while', 'the', 'third', 'family', 'is', 'charged', 'under', 'u1_2', 'the', 'u1_1', 'x', 'u1_2', 'gauge', 'symmetry', 'is', 'broken', 'down', 'to', 'the', 'u1_y', 'gauge', 'symmetry', 'when', 'a', 'sm', 'singlet', 'higgs', 'field', 'acquires', 'a', 'vacuum', 'expectation', 'value', 'we', 'consider', 'the', 'electroweak', 'constraints', 'and', 'compare', 'the', 'fit', 'to', 'experimental', 'observables', 'to', 'that', 'of', 'the', 'sm', 'we', 'study', 'the', 'quark', 'ckm', 'mixing', 'between', 'the', 'first', 'two', 'families', 'and', 'the', 'third', 'family', 'the', 'neutrino', 'masses', 'and', 'mixing', 'the', 'flavour', 'changing', 'neutral', 'current', 'effects', 'in', 'meson', 'mixing', 'and', 'decays', 'the', 'z', 'discovery', 'potential', 'at', 'the', 'large', 'hadron', 'collider', 'the', 'dark', 'matter', 'with', 'a', 'gauged', 'z_2', 'symmetry', 'and', 'the', 'higgs', 'boson', 'masses']] | [-0.13885463432603473, 0.3347887243005211, -0.01735107074213673, 0.13598623434116425, -0.07459531176432188, -0.2221368672187204, 0.02709968273142186, 0.3144514669261094, -0.19775120354928216, -0.25781579760473167, 0.007934970182623825, -0.307243983664397, 0.027077600794302215, -0.0031160894162786095, 0.06952717364418196, 0.056309393676581665, -0.06268316973000765, 0.0192637271282555, -0.14950018209829205, -0.27853048833976707, 0.2865976194621745, -0.07696776324535595, 0.25306352752316463, 0.04679766312196378, 0.11234800698524063, -0.00996729176241293, 0.05892648102382003, -0.1596838211112503, -0.0982396172991291, 0.07330070708621182, 0.08021266727470237, 0.005871198696098221, 0.0603790626280816, -0.3184483831108951, -0.11244883262309065, 0.20618384340847495, 0.11056593134165255, 0.10767059574084384, -0.10207790782268562, -0.3850335740804005, 0.095099476949701, -0.22919420239605956, -0.11496925488750298, -0.07359337609838139, -0.07781989117580425, -0.17057459112195952, -0.3908394615638501, 0.07061793861750847, -0.08377323156820415, 0.03228315493741782, 0.035597355886876805, -0.17222871623043692, -0.14695391356041515, -0.04652813234459435, 0.268430575350501, 0.047841859942757345, 0.17090363768033628, -0.2042590049303957, -0.14371297545314057, 0.4666030675879985, -0.13753288364951818, -0.18012160740083835, 0.11167663067871177, -0.1918716232410507, -0.21882731575962355, 0.10896163597119166, 0.17575935907870419, 0.07086172242607199, -0.1660718282415582, 0.27672361899228115, -0.11482151155881305, 0.1644643917610285, 0.013449234828881142, 0.03108146468719551, 0.2845246528984228, 0.17982435694013013, 0.063456768329853, 0.012169130431460356, -0.03454843923491217, -0.09337669740250307, -0.46455042371387356, -0.15045693842976515, -0.032395292007461635, 0.10187272393968262, -0.07805459004852472, -0.0709819917970184, 0.43733547568154424, 0.11584771826077919, 0.24251912063971134, 0.04070333790367664, 0.2425499636568685, 0.028310330009518832, 0.07496037086365057, 0.004127369802979467, 0.26598596714311906, 0.19444152732021802, 0.08403545295048172, -0.2677820784512407, -0.08163608262165964, 0.14585060880644551] |
710.1269 | Generic mixed columnar-plaquette phases in Rokhsar-Kivelson models | We revisit the phase diagram of Rokhsar-Kivelson models, which are used in
fields such as superconductivity, frustrated magnetism, cold bosons, and the
physics of Josephson junction arrays. From an extended height effective theory,
we show that one of two simple generic phase diagrams contains a mixed phase
that interpolates continuously between columnar and plaquette states. For the
square lattice quantum dimer model we present evidence from exact
diagonalization and Green's function Monte Carlo techniques that this scenario
is realised, by combining an analysis of the excitation gaps of different
symmetry sectors with information on plaquette structure factors. This presents
a natural framework for resolving the disagreement between previous studies.
| cond-mat.str-el | we revisit the phase diagram of rokhsarkivelson models which are used in fields such as superconductivity frustrated magnetism cold bosons and the physics of josephson junction arrays from an extended height effective theory we show that one of two simple generic phase diagrams contains a mixed phase that interpolates continuously between columnar and plaquette states for the square lattice quantum dimer model we present evidence from exact diagonalization and greens function monte carlo techniques that this scenario is realised by combining an analysis of the excitation gaps of different symmetry sectors with information on plaquette structure factors this presents a natural framework for resolving the disagreement between previous studies | [['we', 'revisit', 'the', 'phase', 'diagram', 'of', 'rokhsarkivelson', 'models', 'which', 'are', 'used', 'in', 'fields', 'such', 'as', 'superconductivity', 'frustrated', 'magnetism', 'cold', 'bosons', 'and', 'the', 'physics', 'of', 'josephson', 'junction', 'arrays', 'from', 'an', 'extended', 'height', 'effective', 'theory', 'we', 'show', 'that', 'one', 'of', 'two', 'simple', 'generic', 'phase', 'diagrams', 'contains', 'a', 'mixed', 'phase', 'that', 'interpolates', 'continuously', 'between', 'columnar', 'and', 'plaquette', 'states', 'for', 'the', 'square', 'lattice', 'quantum', 'dimer', 'model', 'we', 'present', 'evidence', 'from', 'exact', 'diagonalization', 'and', 'greens', 'function', 'monte', 'carlo', 'techniques', 'that', 'this', 'scenario', 'is', 'realised', 'by', 'combining', 'an', 'analysis', 'of', 'the', 'excitation', 'gaps', 'of', 'different', 'symmetry', 'sectors', 'with', 'information', 'on', 'plaquette', 'structure', 'factors', 'this', 'presents', 'a', 'natural', 'framework', 'for', 'resolving', 'the', 'disagreement', 'between', 'previous', 'studies']] | [-0.17015775191862512, 0.18630080984306197, -0.08242266315437101, 0.09074520028661937, -0.01910670381466593, -0.13690259823695236, 0.0706955771199043, 0.39394483249634504, -0.23258473701057358, -0.27077390462023404, 0.04170452198761285, -0.29499790566298395, -0.15888295703729904, 0.14633023923203145, 0.05924982449825887, 0.00741170071772462, 0.01331889025926795, -0.04969053721021211, -0.12015794395520395, -0.18100335166379466, 0.30009304861102354, -0.010270752176138308, 0.28837608615226973, 0.03743086455586375, 0.06672709890632728, 0.030022956153224093, 0.06629278380936439, 0.00954509959684326, -0.19566000316076038, 0.09031374825521397, 0.231379757205313, 0.012673064053844694, 0.14701745339771818, -0.4494635457805264, -0.22295890990302925, 0.07144450105795074, 0.15533806805909023, 0.15625311920756832, -0.06793674044503292, -0.2819527924539299, -0.015708339520208878, -0.20567536099446476, -0.12307045596369773, -0.08880352417280504, -0.05456072852921185, -0.032014512679103865, -0.2669724737013126, 0.0944219856859941, 0.011371214332597314, 0.10305782822772451, -0.014224680486656384, -0.13756530467845893, -0.013219561803778377, 0.09409539991084041, 0.008407247667158143, 0.050366393064037646, 0.0635447030440571, -0.15732520830004748, -0.19254194196407606, 0.33596261029789615, -0.0544901232666618, -0.1348981304989205, 0.19111542108921556, -0.10768701877538969, -0.14340029673655133, 0.12011353808258651, 0.08205171987209298, 0.0747707782467024, -0.13071277354888772, 0.12070522983953648, -0.06882614595388327, 0.21838017839323218, -0.011522633036376413, 0.02397372799609369, 0.2812410081147191, 0.18335320020453372, 0.03215751659398505, 0.19500976121223984, -0.07293795876273322, -0.19848246135056838, -0.2999926040273741, -0.13694061523670792, -0.21559992374493442, 0.010480442686741231, -0.08793342671821154, -0.21176606071942033, 0.38298413600054904, 0.17591715301387012, 0.17470388273882612, -0.014039150523577192, 0.24328974946701062, 0.09321120877241836, 0.0502204989668392, 0.020495982750942675, 0.194655430132583, 0.16182959779088787, 0.03773103254941215, -0.24557689939083002, -0.023538540589512078, 0.1062417396327156] |
710.127 | Note on graviton MHV amplitudes | Two new formulas which express n-graviton MHV tree amplitudes in terms of
sums of squares of n-gluon amplitudes are discussed. The first formula is
derived from recursion relations. The second formula, simpler because it
involves fewer permutations, is obtained from the variant of the Berends,
Giele, Kuijf formula given in Arxiv:0707.1035.
| hep-th | two new formulas which express ngraviton mhv tree amplitudes in terms of sums of squares of ngluon amplitudes are discussed the first formula is derived from recursion relations the second formula simpler because it involves fewer permutations is obtained from the variant of the berends giele kuijf formula given in arxiv07071035 | [['two', 'new', 'formulas', 'which', 'express', 'ngraviton', 'mhv', 'tree', 'amplitudes', 'in', 'terms', 'of', 'sums', 'of', 'squares', 'of', 'ngluon', 'amplitudes', 'are', 'discussed', 'the', 'first', 'formula', 'is', 'derived', 'from', 'recursion', 'relations', 'the', 'second', 'formula', 'simpler', 'because', 'it', 'involves', 'fewer', 'permutations', 'is', 'obtained', 'from', 'the', 'variant', 'of', 'the', 'berends', 'giele', 'kuijf', 'formula', 'given', 'in', 'arxiv07071035']] | [-0.15622834158034957, 0.13399816011743887, -0.09418886366813463, 0.16907833416338022, -0.10824492205010385, -0.1302281426531928, 0.06309913794453047, 0.23905583138444594, -0.21655410575224276, -0.2764414038071979, 0.039927056795746395, -0.24925950562999566, -0.2275486347474614, 0.24180245783408078, -0.06729142030324474, 0.03534536270842868, 0.03942690539762986, 0.05523294845253837, -0.12072381547566656, -0.2485453191840527, 0.26872352970650004, -0.08588857458410215, 0.2269460673120861, 0.016341742204160105, 0.10192446629231681, 0.09150498762384665, -0.1244145811212306, -0.06939552768076561, -0.10143993000442884, 0.13958910263941757, 0.24556140200596074, 0.1699753669708283, 0.09460856651469153, -0.427859646173156, -0.043000751407817006, 0.04412549840552466, 0.1939041512752218, 0.12787749615203284, 0.10888369495467264, -0.213855383760885, 0.03315663678875687, -0.19063937660230665, -0.16567057055630247, -0.09199752316487078, 0.05617653968154776, -0.007246409248256562, -0.2500643658461239, 0.07481073901266316, 0.04507047105200437, 0.020687966265392547, 0.0060596892762244964, -0.24724973612750062, -0.020239118942800834, 0.07543844896919873, 0.06765173465887807, 0.025035144305046723, -0.04461254110103663, -0.1186213431290674, -0.14312241052524471, 0.3326787034961946, -0.02661078413995933, -0.20744179736594764, 0.02158426015865894, -0.17886277396535996, -0.19514261131003804, 0.18136245987321042, 0.037375364882624426, 0.2008599666878581, -0.2160525461088638, 0.11414628253527442, -0.08216266357815083, 0.045662867081142505, 0.24169087340599116, 0.009613791632713104, 0.1285209669066327, 0.034290535000095865, -0.029112904475127557, 0.2317539696790734, 0.008472796073373484, -0.10793064215353557, -0.3672684323688855, -0.10761841533857645, -0.16630498975116229, -0.017088363555317024, -0.17673729816261602, -0.2036185353918343, 0.2962017667132943, 0.08938552142710102, 0.15041198480009502, 0.20741850440152826, 0.295318187176421, 0.2589847043308677, 0.11212373107709751, 0.006629821492777187, 0.13514174488658198, 0.2438409868247655, 0.032661361434515944, -0.16338775977694278, 0.07538797933494254, 0.30133257035109007] |
710.1271 | Flavor Evolution of the Neutronization Neutrino Burst from an O-Ne-Mg
Core-Collapse Supernova | We present results of 3-neutrino flavor evolution simulations for the
neutronization burst from an O-Ne-Mg core-collapse supernova. We find that
nonlinear neutrino self-coupling engineers a single spectral feature of
stepwise conversion in the inverted neutrino mass hierarchy case and in the
normal mass hierarchy case, a superposition of two such features corresponding
to the vacuum neutrino mass-squared differences associated with solar and
atmospheric neutrino oscillations. These neutrino spectral features offer a
unique potential probe of the conditions in the supernova environment and may
allow us to distinguish between O-Ne-Mg and Fe core-collapse supernovae.
| astro-ph hep-ph | we present results of 3neutrino flavor evolution simulations for the neutronization burst from an onemg corecollapse supernova we find that nonlinear neutrino selfcoupling engineers a single spectral feature of stepwise conversion in the inverted neutrino mass hierarchy case and in the normal mass hierarchy case a superposition of two such features corresponding to the vacuum neutrino masssquared differences associated with solar and atmospheric neutrino oscillations these neutrino spectral features offer a unique potential probe of the conditions in the supernova environment and may allow us to distinguish between onemg and fe corecollapse supernovae | [['we', 'present', 'results', 'of', '3neutrino', 'flavor', 'evolution', 'simulations', 'for', 'the', 'neutronization', 'burst', 'from', 'an', 'onemg', 'corecollapse', 'supernova', 'we', 'find', 'that', 'nonlinear', 'neutrino', 'selfcoupling', 'engineers', 'a', 'single', 'spectral', 'feature', 'of', 'stepwise', 'conversion', 'in', 'the', 'inverted', 'neutrino', 'mass', 'hierarchy', 'case', 'and', 'in', 'the', 'normal', 'mass', 'hierarchy', 'case', 'a', 'superposition', 'of', 'two', 'such', 'features', 'corresponding', 'to', 'the', 'vacuum', 'neutrino', 'masssquared', 'differences', 'associated', 'with', 'solar', 'and', 'atmospheric', 'neutrino', 'oscillations', 'these', 'neutrino', 'spectral', 'features', 'offer', 'a', 'unique', 'potential', 'probe', 'of', 'the', 'conditions', 'in', 'the', 'supernova', 'environment', 'and', 'may', 'allow', 'us', 'to', 'distinguish', 'between', 'onemg', 'and', 'fe', 'corecollapse', 'supernovae']] | [-0.04972887343116185, 0.19431529690837612, -0.002925537606721283, 0.210619506547578, -0.10485230144163374, -0.12656297843142222, 0.06755154610671583, 0.3585974029365486, -0.22903046903691143, -0.32100283052091316, 0.020355441808445198, -0.284236187856364, -0.05191329191689209, 0.2029673756721119, 0.05552658573115653, -0.020478513412257676, 0.13848647532824387, -0.05971074502124021, -0.1746357809076266, -0.17918662876091015, 0.353532598496625, 0.08578185937417451, 0.21233254748206304, -0.0022206617298946587, 0.08095790013065061, -0.16149373055105248, -0.05716808720601983, -0.12294231648106248, -0.0948284650539888, -0.013483153155414008, 0.21311097634331605, 0.1932311546212683, 0.12051565188073343, -0.42633498500111283, -0.21374965306829602, 0.18060381577840895, 0.17608033495164047, 0.08564911500340508, -0.12030102774220448, -0.27764087700615486, -0.004576033306738702, -0.23039466143781018, -0.14928909197389598, 0.01696278632528359, -0.08119125868524274, 0.0033686432026086314, -0.32806686249872047, 0.11383242284258206, -0.017431217754605197, -0.024852157153579735, -0.06162462249318118, -0.10326995691084252, -0.04893037275741658, 0.08027993234610485, 0.08795584120877808, -0.07590210803293733, 0.07510322806899816, -0.15293169994988748, -0.04699768463990862, 0.42381082150724625, -0.0905339279091887, -0.08219058960125411, 0.1809318320605383, -0.18356732624052194, -0.11475646851323945, 0.14448164151080192, 0.16922026588231004, 0.020989601638027898, -0.16923464268385882, 0.0050092568766245595, -0.042912519156372037, 0.16954998116219236, 0.06698981390124367, 0.03293175286546435, 0.34453576825238685, 0.22358156330082365, 0.07104177097038876, -0.033879821566784735, -0.19685583443553636, -0.011094478489730948, -0.3194231987950863, -0.12309426781270773, -0.06899644867066414, 0.14269533204615756, -0.11896555084091741, -0.17571618252243565, 0.45504217590856294, 0.11009128139008797, 0.15731468383142705, -0.032198950868620665, 0.22150928593210636, 0.05643291164550089, 0.03937162586077247, 0.03801623078924354, 0.3188121285169355, 0.19688573695458872, 0.17433515605666944, -0.3434543783541128, 0.018510376373606342, 0.07614714695361033] |
710.1272 | Coupling Lattice Boltzmann with Atomistic Dynamics for the multiscale
simulation of nano-biological flows | We describe a recent multiscale approach based on the concurrent coupling of
constrained molecular dynamics for long biomolecules with a mesoscopic lattice
Boltzmann treatment of solvent hydrodynamics. The multiscale approach is based
on a simple scheme of exchange of space-time information between the atomistic
and mesoscopic scales and is capable of describing self-consistent hydrodynamic
effects on molecular motion at a computational cost which scales linearly with
both solute size and solvent volume. For an application of our multiscale
method, we consider the much studied problem of biopolymer translocation
through nanopores: we find that the method reproduces with remarkable accuracy
the statistical scaling behavior of the translocation process and provides
valuable insight into the cooperative aspects of biopolymer and hydrodynamic
motion.
| physics.bio-ph physics.flu-dyn | we describe a recent multiscale approach based on the concurrent coupling of constrained molecular dynamics for long biomolecules with a mesoscopic lattice boltzmann treatment of solvent hydrodynamics the multiscale approach is based on a simple scheme of exchange of spacetime information between the atomistic and mesoscopic scales and is capable of describing selfconsistent hydrodynamic effects on molecular motion at a computational cost which scales linearly with both solute size and solvent volume for an application of our multiscale method we consider the much studied problem of biopolymer translocation through nanopores we find that the method reproduces with remarkable accuracy the statistical scaling behavior of the translocation process and provides valuable insight into the cooperative aspects of biopolymer and hydrodynamic motion | [['we', 'describe', 'a', 'recent', 'multiscale', 'approach', 'based', 'on', 'the', 'concurrent', 'coupling', 'of', 'constrained', 'molecular', 'dynamics', 'for', 'long', 'biomolecules', 'with', 'a', 'mesoscopic', 'lattice', 'boltzmann', 'treatment', 'of', 'solvent', 'hydrodynamics', 'the', 'multiscale', 'approach', 'is', 'based', 'on', 'a', 'simple', 'scheme', 'of', 'exchange', 'of', 'spacetime', 'information', 'between', 'the', 'atomistic', 'and', 'mesoscopic', 'scales', 'and', 'is', 'capable', 'of', 'describing', 'selfconsistent', 'hydrodynamic', 'effects', 'on', 'molecular', 'motion', 'at', 'a', 'computational', 'cost', 'which', 'scales', 'linearly', 'with', 'both', 'solute', 'size', 'and', 'solvent', 'volume', 'for', 'an', 'application', 'of', 'our', 'multiscale', 'method', 'we', 'consider', 'the', 'much', 'studied', 'problem', 'of', 'biopolymer', 'translocation', 'through', 'nanopores', 'we', 'find', 'that', 'the', 'method', 'reproduces', 'with', 'remarkable', 'accuracy', 'the', 'statistical', 'scaling', 'behavior', 'of', 'the', 'translocation', 'process', 'and', 'provides', 'valuable', 'insight', 'into', 'the', 'cooperative', 'aspects', 'of', 'biopolymer', 'and', 'hydrodynamic', 'motion']] | [-0.09948122780770063, 0.09452674547707526, -0.13228660348104312, 0.0186102355137488, -0.02165944268538927, -0.12392456395706783, 0.003608874770967911, 0.3699509994747738, -0.28445561591846247, -0.28021973280313733, -0.007559793275625755, -0.22206883458420634, -0.16833815096373048, 0.17827655555835614, 0.02918499434987704, 0.06572875599376857, 0.09170357696323966, -0.04644505309406668, -0.0002695502931601368, -0.16652922976451615, 0.24735950671505028, 0.09838859069083507, 0.29911597336952883, 0.11463438683422282, 0.18837430983937034, 0.019125064214070637, -0.02034437193457658, 0.08320336162578315, -0.19316672874489693, 0.15099677174681952, 0.1765868993194696, 0.02952375175858227, 0.29496622714214027, -0.5082356566873689, -0.2808342328372722, -0.010865828125194337, 0.16209187128891547, 0.18622379603233033, -0.032849884032233, -0.23720109629794023, 0.031248163061294083, -0.14357354511739687, -0.09261454379496475, -0.1160214326325028, 0.011334989483778675, 0.06032470755744725, -0.25861062409045793, 0.1578536792260517, 0.024086917475021133, 0.08874986036559372, -0.04101591270494585, -0.08698453012232979, 0.023093965540950497, 0.12624049085037162, 0.03463975272097741, -0.02541827010087824, 0.21562419654801487, -0.13350805456672485, -0.08700859613115124, 0.44321294305846093, -0.03456370344889971, -0.2339265298641597, 0.23434326141529407, -0.10164239699952304, -0.12688402388400088, 0.18405406647361816, 0.18358986928748589, 0.12183122040781504, -0.17565837152069436, 0.056348792049781576, -0.018948887094544866, 0.20545441304372314, 0.0019893292395863683, 0.030255517064748952, 0.20387609669220788, 0.3274646512931213, 0.0067393879716595015, 0.1255424882241641, -0.09544884134666062, -0.18813726386676233, -0.25573930697185765, -0.15063866130076348, -0.21946043676968355, 0.048790149776808296, -0.1521262245169055, -0.17269696390915973, 0.360514765131029, 0.15471719107978668, 0.163928459767097, 0.10440882598146951, 0.2738519822169716, 0.03134293469580977, 0.01958532437759762, 0.04366570083463254, 0.15936288707550073, 0.11491023097575331, 0.10883082921306292, -0.3395519855859069, 0.048383195092901586, 0.10415782617637888] |
710.1273 | Generic canonical form of pairs of matrices with zeros | We consider a family of pairs of m-by-p and m-by-q matrices, in which some
entries are required to be zero and the others are arbitrary, with respect to
transformations (A,B)--> (SAR,SBL) with nonsingular S, R, L. We prove that
almost all of these pairs reduce to the same pair (C, D) from this family,
except for pairs whose arbitrary entries are zeros of a certain polynomial. The
polynomial and the pair (C D) are constructed by a combinatorial method based
on properties of a certain graph.
| math.RT | we consider a family of pairs of mbyp and mbyq matrices in which some entries are required to be zero and the others are arbitrary with respect to transformations ab sarsbl with nonsingular s r l we prove that almost all of these pairs reduce to the same pair c d from this family except for pairs whose arbitrary entries are zeros of a certain polynomial the polynomial and the pair c d are constructed by a combinatorial method based on properties of a certain graph | [['we', 'consider', 'a', 'family', 'of', 'pairs', 'of', 'mbyp', 'and', 'mbyq', 'matrices', 'in', 'which', 'some', 'entries', 'are', 'required', 'to', 'be', 'zero', 'and', 'the', 'others', 'are', 'arbitrary', 'with', 'respect', 'to', 'transformations', 'ab', 'sarsbl', 'with', 'nonsingular', 's', 'r', 'l', 'we', 'prove', 'that', 'almost', 'all', 'of', 'these', 'pairs', 'reduce', 'to', 'the', 'same', 'pair', 'c', 'd', 'from', 'this', 'family', 'except', 'for', 'pairs', 'whose', 'arbitrary', 'entries', 'are', 'zeros', 'of', 'a', 'certain', 'polynomial', 'the', 'polynomial', 'and', 'the', 'pair', 'c', 'd', 'are', 'constructed', 'by', 'a', 'combinatorial', 'method', 'based', 'on', 'properties', 'of', 'a', 'certain', 'graph']] | [-0.19084499030183238, 0.11849678366119604, -0.02233581577079842, 0.011215600032213491, -0.04542220042771604, -0.17197752875242248, 0.017647116351031125, 0.3635092762197895, -0.298404163894165, -0.2669403384171752, 0.08821527868879578, -0.29684312789734585, -0.12442433370658791, 0.17008721441905722, -0.007899676662791207, 0.061479366126369284, 0.05424735228901347, 0.11214941844389022, -0.1182624768333037, -0.3207852356125326, 0.35584356658250454, -0.07325414874512388, 0.17865027681397028, -0.0018068687788334239, 0.0801910186545497, 0.005366555628288223, -0.05828687738268131, 0.021299852439797068, -0.10690091818850557, 0.15263842026063476, 0.22939030680221967, 0.12498458722011602, 0.20025865433468337, -0.3428228776509234, -0.11284449569465795, 0.21236032963427434, 0.10286542649818473, 0.0778078137018931, 0.01421534605688943, -0.23977017347667232, 0.19684316506132438, -0.1363016280109983, -0.13132447596213007, -0.046928494596427464, 0.08474763207900596, 0.10226320547152715, -0.32791988255388765, -0.008852805381259286, 0.0951284411116447, 0.06222300730499787, 0.026701093056654357, -0.1621187199131552, -0.029813799070171922, 0.058681284357984385, -0.010718390812637308, 0.03657303413892367, 0.03691090376913009, -0.05750628511129643, -0.08978104426424546, 0.36273804290573597, -0.05569459238729204, -0.25413464099527844, 0.17626781672160757, -0.15860532088407192, -0.11964380026918399, 0.12555178886290685, 0.12672075283635093, 0.1564051892204457, -0.11946634747402136, 0.1439567054937459, -0.11104356334825237, 0.08527131224926336, 0.1085361329816192, 0.04242647871801473, 0.17676750269819455, -0.004015967066130455, 0.07539866593139, 0.1307459345903719, 0.0036090942049197047, -0.047152132362531254, -0.35849332324711675, -0.15825251669409762, -0.19606383021567467, 0.07138261403215218, -0.09632307986103991, -0.20075742387583098, 0.4018641210733408, 0.05442898662154933, 0.2973106161478054, 0.09251830811929294, 0.16782281385083875, 0.08021879605724509, 0.05537221855932779, 0.09571653260030301, 0.09960143774900732, 0.13367385979663265, -0.015252391790903836, -0.16500199574721888, 0.04813793424169073, 0.10877767294443336] |
710.1274 | Gravity model in the Korean highway | We investigate the traffic flows of the Korean highway system, which contains
both public and private transportation information. We find that the traffic
flow T(ij) between city i and j forms a gravity model, the metaphor of physical
gravity as described in Newton's law of gravity, P(i)P(j)/r(ij)^2, where P(i)
represents the population of city i and r(ij) the distance between cities i and
j. It is also shown that the highway network has a heavy tail even though the
road network is a rather uniform and homogeneous one. Compared to the highway
network, air and public ground transportation establish inhomogeneous systems
and have power-law behaviors.
| physics.soc-ph physics.geo-ph | we investigate the traffic flows of the korean highway system which contains both public and private transportation information we find that the traffic flow tij between city i and j forms a gravity model the metaphor of physical gravity as described in newtons law of gravity pipjrij2 where pi represents the population of city i and rij the distance between cities i and j it is also shown that the highway network has a heavy tail even though the road network is a rather uniform and homogeneous one compared to the highway network air and public ground transportation establish inhomogeneous systems and have powerlaw behaviors | [['we', 'investigate', 'the', 'traffic', 'flows', 'of', 'the', 'korean', 'highway', 'system', 'which', 'contains', 'both', 'public', 'and', 'private', 'transportation', 'information', 'we', 'find', 'that', 'the', 'traffic', 'flow', 'tij', 'between', 'city', 'i', 'and', 'j', 'forms', 'a', 'gravity', 'model', 'the', 'metaphor', 'of', 'physical', 'gravity', 'as', 'described', 'in', 'newtons', 'law', 'of', 'gravity', 'pipjrij2', 'where', 'pi', 'represents', 'the', 'population', 'of', 'city', 'i', 'and', 'rij', 'the', 'distance', 'between', 'cities', 'i', 'and', 'j', 'it', 'is', 'also', 'shown', 'that', 'the', 'highway', 'network', 'has', 'a', 'heavy', 'tail', 'even', 'though', 'the', 'road', 'network', 'is', 'a', 'rather', 'uniform', 'and', 'homogeneous', 'one', 'compared', 'to', 'the', 'highway', 'network', 'air', 'and', 'public', 'ground', 'transportation', 'establish', 'inhomogeneous', 'systems', 'and', 'have', 'powerlaw', 'behaviors']] | [-0.17329089441941156, 0.10149745589128892, -0.11089027788525876, 0.07626945149520627, -0.026292293579479938, -0.20833891167645702, 0.05102265157844298, 0.33583733858540654, -0.23767538117961243, -0.294681488180336, 0.09468417624213124, -0.32500019212826514, -0.16018000637324384, 0.15509000604820009, -0.08738517844512199, 0.01192893051596072, 0.015576146551980995, 0.025069731205943614, 0.04986650125759367, -0.2177018920505921, 0.314530964622883, 0.0011234357147119367, 0.30083479962251236, 0.06711755291325971, 0.10494994246311343, -0.03648359363712818, -0.04086797102354467, 0.037856363893997, -0.1072783090781181, 0.13601750566158444, 0.2368116147028139, 0.14714149256962208, 0.24479366718934706, -0.422735795378685, -0.2645670180298531, 0.10045380387768651, 0.08601216707701007, 0.0685721957874753, 0.025677544279740408, -0.3166142347886657, 0.018246473180345044, -0.2309146957257046, -0.12157817469694866, -0.00669971860658664, 0.0877307001747585, 0.029723804954511043, -0.2501628007918883, 0.05043037423540507, 0.039244577557278365, 0.09666317305527627, -0.015783607279165432, -0.08551807595358696, -0.07815483626193152, 0.20545535654785524, 0.08014800307081224, 0.03184872722844235, 0.1261079402779265, -0.167956288341744, -0.07369999788128413, 0.4217250566714658, -0.06574405040681505, -0.1426149108984436, 0.17871496515223184, -0.11050998767649826, -0.09207076169639969, 0.01813205430740849, 0.21920080383558974, 0.04272370518761958, -0.1785900390957697, 0.045535320662985705, -0.0965552648771196, 0.12032508593983948, 0.058062688572905384, -0.023775503693076853, 0.17041080908361786, 0.21276255373623615, 0.14832391297722308, 0.10085971120637484, -0.13604509230488196, -0.1500154970249591, -0.24170835835908433, -0.15555695504791892, -0.17702168852198297, 0.05671012677395573, -0.13488632566287168, -0.11248784409382587, 0.36843000499245065, 0.13423585534418145, 0.1395535261477702, 0.07832979554055222, 0.2553295332651872, 0.03608122497757904, 0.04066316596268175, 0.2152169876935659, 0.18476078019011766, 0.045813927364249066, 0.20315302186197817, -0.2017076061322139, 0.07976066451430178, 0.04779344617586153] |
710.1275 | On Convergence Properties of Shannon Entropy | Convergence properties of Shannon Entropy are studied. In the differential
setting, it is shown that weak convergence of probability measures, or
convergence in distribution, is not enough for convergence of the associated
differential entropies. A general result for the desired differential entropy
convergence is provided, taking into account both compactly and uncompactly
supported densities. Convergence of differential entropy is also characterized
in terms of the Kullback-Liebler discriminant for densities with fairly general
supports, and it is shown that convergence in variation of probability measures
guarantees such convergence under an appropriate boundedness condition on the
densities involved. Results for the discrete setting are also provided,
allowing for infinitely supported probability measures, by taking advantage of
the equivalence between weak convergence and convergence in variation in this
setting.
| cs.IT math.IT | convergence properties of shannon entropy are studied in the differential setting it is shown that weak convergence of probability measures or convergence in distribution is not enough for convergence of the associated differential entropies a general result for the desired differential entropy convergence is provided taking into account both compactly and uncompactly supported densities convergence of differential entropy is also characterized in terms of the kullbackliebler discriminant for densities with fairly general supports and it is shown that convergence in variation of probability measures guarantees such convergence under an appropriate boundedness condition on the densities involved results for the discrete setting are also provided allowing for infinitely supported probability measures by taking advantage of the equivalence between weak convergence and convergence in variation in this setting | [['convergence', 'properties', 'of', 'shannon', 'entropy', 'are', 'studied', 'in', 'the', 'differential', 'setting', 'it', 'is', 'shown', 'that', 'weak', 'convergence', 'of', 'probability', 'measures', 'or', 'convergence', 'in', 'distribution', 'is', 'not', 'enough', 'for', 'convergence', 'of', 'the', 'associated', 'differential', 'entropies', 'a', 'general', 'result', 'for', 'the', 'desired', 'differential', 'entropy', 'convergence', 'is', 'provided', 'taking', 'into', 'account', 'both', 'compactly', 'and', 'uncompactly', 'supported', 'densities', 'convergence', 'of', 'differential', 'entropy', 'is', 'also', 'characterized', 'in', 'terms', 'of', 'the', 'kullbackliebler', 'discriminant', 'for', 'densities', 'with', 'fairly', 'general', 'supports', 'and', 'it', 'is', 'shown', 'that', 'convergence', 'in', 'variation', 'of', 'probability', 'measures', 'guarantees', 'such', 'convergence', 'under', 'an', 'appropriate', 'boundedness', 'condition', 'on', 'the', 'densities', 'involved', 'results', 'for', 'the', 'discrete', 'setting', 'are', 'also', 'provided', 'allowing', 'for', 'infinitely', 'supported', 'probability', 'measures', 'by', 'taking', 'advantage', 'of', 'the', 'equivalence', 'between', 'weak', 'convergence', 'and', 'convergence', 'in', 'variation', 'in', 'this', 'setting']] | [-0.10577125902287662, 0.046837470860336905, -0.1326991481948644, 0.14574609855189918, 0.026748696446418762, -0.09240929977223276, 0.019439440382644533, 0.355211898624897, -0.2624267269074917, -0.21840784338116645, 0.11850936130620539, -0.25686595813930035, -0.09034883014392107, 0.21939139201305807, -0.1184778467901051, 0.1246932081952691, 0.05030298339575529, 0.06517845010757446, -0.07815523358434438, -0.28077308627963066, 0.3354335395330563, 0.030833342485129832, 0.31146095706149934, 0.08074881160398945, 0.11906126400455833, -0.011965331296087242, -0.01589089433476329, 0.08343990553915501, -0.1575600125013152, 0.12160225564986467, 0.22101266063749792, 0.1436330606751144, 0.3147657431475818, -0.3472163906097412, -0.18201343505911063, 0.11236798307672143, 0.13463642639666795, 0.02256882733851671, -0.08341486339364201, -0.297103767760098, 0.12380769861489535, -0.12886324344575406, -0.1123122856207192, -0.16351715310290454, 0.01882139563234523, 0.116873350918293, -0.3627520688064396, 0.10941196242300794, 0.12752390874922276, 0.07026089188456536, -0.08347115176543593, -0.053131310580298304, -0.030829294640570878, 0.10448582975193858, 0.10845198204927146, -0.02716137882322073, 0.06851456292904913, -0.07953163809888066, -0.053956809788942336, 0.3384022475630045, -0.09232596803456544, -0.2941480141878128, 0.17139629565179348, -0.18761144571006297, -0.16578861300647257, 0.15883747896924616, 0.12131116613000631, 0.12565345625579358, -0.13696811873465775, 0.14105968461791055, -5.703181400895119e-05, 0.10085513618029654, 0.0800362829938531, 0.09078051309753209, 0.09185053958743811, 0.11782693475857377, 0.18526416567713022, 0.1411446749139577, -0.01203934360994026, -0.18590130354836584, -0.3473997263908386, -0.1566920235976577, -0.1880049217045307, 0.04804837494541425, -0.11954963981325273, -0.1323917325993534, 0.33405188758671284, 0.09056568190082907, 0.19189799696952103, 0.14543641290068626, 0.26195255474746226, 0.2005108945351094, -0.020038199719041586, 0.08640557017549873, 0.20904342209547758, 0.21706325553543865, 0.06622606660798191, -0.178520276222378, 0.16638825627416373, 0.11152673926949501] |
710.1276 | Riemannian groupoids and solitons for three-dimensional homogeneous
Ricci and cross curvature flows | In this paper we investigate the behavior of three-dimensional homogeneous
solutions of the cross curvature flow using Riemannian groupoids. The
Riemannian groupoid technique, introduced by John Lott, allows us to
investigate the long term behavior of collapsing solutions of the flow,
producing soliton solutions in the limit. We also review Lott's results on the
long term behavior of three-dimensional homogeneous solutions of Ricci flow,
demonstrating the coordinates we choose and reviewing the groupoid technique.
We find cross curvature soliton metrics on Sol and Nil, and show that the cross
curvature flow of SL(2,R) limits to Sol.
| math.DG | in this paper we investigate the behavior of threedimensional homogeneous solutions of the cross curvature flow using riemannian groupoids the riemannian groupoid technique introduced by john lott allows us to investigate the long term behavior of collapsing solutions of the flow producing soliton solutions in the limit we also review lotts results on the long term behavior of threedimensional homogeneous solutions of ricci flow demonstrating the coordinates we choose and reviewing the groupoid technique we find cross curvature soliton metrics on sol and nil and show that the cross curvature flow of sl2r limits to sol | [['in', 'this', 'paper', 'we', 'investigate', 'the', 'behavior', 'of', 'threedimensional', 'homogeneous', 'solutions', 'of', 'the', 'cross', 'curvature', 'flow', 'using', 'riemannian', 'groupoids', 'the', 'riemannian', 'groupoid', 'technique', 'introduced', 'by', 'john', 'lott', 'allows', 'us', 'to', 'investigate', 'the', 'long', 'term', 'behavior', 'of', 'collapsing', 'solutions', 'of', 'the', 'flow', 'producing', 'soliton', 'solutions', 'in', 'the', 'limit', 'we', 'also', 'review', 'lotts', 'results', 'on', 'the', 'long', 'term', 'behavior', 'of', 'threedimensional', 'homogeneous', 'solutions', 'of', 'ricci', 'flow', 'demonstrating', 'the', 'coordinates', 'we', 'choose', 'and', 'reviewing', 'the', 'groupoid', 'technique', 'we', 'find', 'cross', 'curvature', 'soliton', 'metrics', 'on', 'sol', 'and', 'nil', 'and', 'show', 'that', 'the', 'cross', 'curvature', 'flow', 'of', 'sl2r', 'limits', 'to', 'sol']] | [-0.1740741631098596, 0.041529924749435544, -0.10475163338317846, 0.05951539263454227, -0.10020408137158181, -0.09586784371640533, -0.05021571872809242, 0.34678374660628225, -0.2672747516432234, -0.2167976467559735, 0.11627159204848188, -0.30361915515838217, -0.15646044360861802, 0.1706988023215672, -0.08518886719927347, 0.05972816015128046, 0.07416688611313778, 0.04220114357303828, -0.06716592841500339, -0.21733596611496372, 0.4405503843639356, 0.03778553030376012, 0.30230373293549445, 0.12719813150276119, 0.1327602338642464, -0.047110519129394866, -0.04125683531553174, 0.06426123227962914, -0.2949105427424759, 0.08747716050129384, 0.18147604020729582, 0.0451675012979346, 0.15073392774017216, -0.42439423606265336, -0.21995351695416807, 0.0914477047190303, 0.13904672225665612, 0.0746110698285823, -0.01478404439452182, -0.331842153139102, 0.05942668354449173, -0.1543714205872675, -0.1681890916509777, -0.11364159127697349, 0.01494596815124775, 0.013764758043786665, -0.1519845905713737, 0.058539064227261406, 0.11512108178188403, 0.032018742068127416, -0.12261739481922025, -0.005132365118091305, -0.033758475231782846, 0.09538403030213279, 0.10773354584913857, -0.018783975562352378, 0.12227374509287377, -0.1076381805366206, -0.08799544993477564, 0.34837533502529067, -0.16323725159357613, -0.2623059533264798, 0.11888846888905391, -0.1383746473826856, -0.08570522235580331, 0.10260133159075242, 0.18876132555912287, 0.19888231924657399, -0.08862762830540305, 0.12377807830550107, -0.014192356233252212, 0.09362149928225942, 0.11693449185501474, -0.041637454662122764, 0.12797216053392427, 0.16104641921507815, 0.11345293651296136, 0.13537460064738602, -0.04832859916981155, -0.10604131306172349, -0.32256793496587005, -0.22836673098693913, -0.08923486351462391, 0.15658432564426525, -0.11634794718656849, -0.17314251756276158, 0.4194620522709253, 0.08251865083972613, 0.20020150024599084, 0.09486664794773485, 0.2369592780378298, 0.0630455441326679, 0.020336341539708275, 0.13813471351750195, 0.2652612027462358, 0.19990087763532452, 0.14357215334894136, -0.19130057875493853, -0.06860081526004554, 0.17908145487308502] |
710.1277 | New results on particle acceleration in the Centaurus A jet and
counterjet from a deep Chandra observation | We present new deep Chandra observations of the Centaurus A jet, with a
combined on-source exposure time of 719 ks. These data allow detailed X-ray
spectral measurements to be made along the jet out to its disappearance at 4.5
kpc from the nucleus. We distinguish several regimes of high-energy particle
acceleration: while the inner part of the jet is dominated by knots and has
properties consistent with local particle acceleration at shocks, the particle
acceleration in the outer 3.4 kpc of the jet is likely to be dominated by an
unknown distributed acceleration mechanism. In addition to several compact
counterjet features we detect probable extended emission from a counterjet out
to 2.0 kpc from the nucleus, and argue that this implies that the diffuse
acceleration process operates in the counterjet as well. A preliminary search
for X-ray variability finds no jet knots with dramatic flux density variations,
unlike the situation seen in M87.
| astro-ph | we present new deep chandra observations of the centaurus a jet with a combined onsource exposure time of 719 ks these data allow detailed xray spectral measurements to be made along the jet out to its disappearance at 45 kpc from the nucleus we distinguish several regimes of highenergy particle acceleration while the inner part of the jet is dominated by knots and has properties consistent with local particle acceleration at shocks the particle acceleration in the outer 34 kpc of the jet is likely to be dominated by an unknown distributed acceleration mechanism in addition to several compact counterjet features we detect probable extended emission from a counterjet out to 20 kpc from the nucleus and argue that this implies that the diffuse acceleration process operates in the counterjet as well a preliminary search for xray variability finds no jet knots with dramatic flux density variations unlike the situation seen in m87 | [['we', 'present', 'new', 'deep', 'chandra', 'observations', 'of', 'the', 'centaurus', 'a', 'jet', 'with', 'a', 'combined', 'onsource', 'exposure', 'time', 'of', '719', 'ks', 'these', 'data', 'allow', 'detailed', 'xray', 'spectral', 'measurements', 'to', 'be', 'made', 'along', 'the', 'jet', 'out', 'to', 'its', 'disappearance', 'at', '45', 'kpc', 'from', 'the', 'nucleus', 'we', 'distinguish', 'several', 'regimes', 'of', 'highenergy', 'particle', 'acceleration', 'while', 'the', 'inner', 'part', 'of', 'the', 'jet', 'is', 'dominated', 'by', 'knots', 'and', 'has', 'properties', 'consistent', 'with', 'local', 'particle', 'acceleration', 'at', 'shocks', 'the', 'particle', 'acceleration', 'in', 'the', 'outer', '34', 'kpc', 'of', 'the', 'jet', 'is', 'likely', 'to', 'be', 'dominated', 'by', 'an', 'unknown', 'distributed', 'acceleration', 'mechanism', 'in', 'addition', 'to', 'several', 'compact', 'counterjet', 'features', 'we', 'detect', 'probable', 'extended', 'emission', 'from', 'a', 'counterjet', 'out', 'to', '20', 'kpc', 'from', 'the', 'nucleus', 'and', 'argue', 'that', 'this', 'implies', 'that', 'the', 'diffuse', 'acceleration', 'process', 'operates', 'in', 'the', 'counterjet', 'as', 'well', 'a', 'preliminary', 'search', 'for', 'xray', 'variability', 'finds', 'no', 'jet', 'knots', 'with', 'dramatic', 'flux', 'density', 'variations', 'unlike', 'the', 'situation', 'seen', 'in', 'm87']] | [-0.07155215310018807, 0.09097413037642244, -0.11864789191852598, 0.10860805319334402, -0.10509744309668058, -0.09104566867432855, 0.025312393366547874, 0.4562109911242147, -0.24546505053058948, -0.3293607953351502, 0.04793284935009319, -0.27928686258839625, 0.022850144484074287, 0.19485800513112003, -0.006314840478201707, -0.04407093161450747, 0.058252646606050285, -0.05839790559367709, -0.03876855851434859, -0.15052922154941104, 0.2583488225366226, 0.1524932881864016, 0.14576838567725145, 0.028540622377619788, 0.10425787974906829, -0.06382234971909449, -0.08970149993908659, 0.010127642646194528, -0.0764612888167285, 0.04554514253353761, 0.20741026934382378, 0.0838137723024618, 0.19428027506455098, -0.40156045070319785, -0.22765938189562435, 0.028023635472469274, 0.20024509318294673, -0.01258774377935219, -0.048041603072954256, -0.28080095203435107, 0.03930833727863976, -0.19622018831033333, -0.19966245964291243, 0.05985991976351714, 0.03920714485647729, -0.005964819354452558, -0.19723674991575915, 0.14547835689515873, 0.025383837158895202, 0.05228161430929854, -0.080542239909109, -0.05875997665319957, 0.005380888324949184, 0.03485833020771251, 0.10422288509845898, 0.10806799051504022, 0.21598529977970482, -0.13276631559026153, -0.12822104751792876, 0.3797313423790768, -0.047534814935323653, -0.021598476418933154, 0.23432117135391808, -0.20878868467582304, -0.21110595723468006, 0.25538251603484835, 0.1277316052624895, 0.09958819485287748, -0.12405778219606849, -0.008777198610748195, -0.051779995006630865, 0.20286378369124886, 0.050067029945138425, 0.035548199857646005, 0.27365331236102614, 0.12228587257152337, 0.06312217391735199, 0.13822175474271325, -0.28742386682835575, -0.04086931920275579, -0.3179476515746073, -0.09568789946995797, -0.11256151559634828, 0.06758875845249718, -0.11900639086273146, -0.08817907066991419, 0.3756055873757825, 0.10141955869381919, 0.2314816653892836, 0.003108761108973447, 0.30111016950028296, 0.047656576118730254, 0.08977853113882779, 0.18551230202946398, 0.33865789964101184, 0.1213509024583485, 0.11063067172045266, -0.20391509845530237, 0.06382879039905721, -0.017346176134690253] |
710.1278 | Miniversal deformations of chains of linear mappings | V.I. Arnold [Russian Math. Surveys, 26 (no. 2), 1971, pp. 29-43] gave a
miniversal deformation of matrices of linear operators; that is, a simple
canonical form, to which not only a given square matrix A, but also the family
of all matrices close to A, can be reduced by similarity transformations
smoothly depending on the entries of matrices. We study miniversal deformations
of quiver representations and obtain a miniversal deformation of matrices of
chains of linear mappings.
| math.RT | vi arnold russian math surveys 26 no 2 1971 pp 2943 gave a miniversal deformation of matrices of linear operators that is a simple canonical form to which not only a given square matrix a but also the family of all matrices close to a can be reduced by similarity transformations smoothly depending on the entries of matrices we study miniversal deformations of quiver representations and obtain a miniversal deformation of matrices of chains of linear mappings | [['vi', 'arnold', 'russian', 'math', 'surveys', '26', 'no', '2', '1971', 'pp', '2943', 'gave', 'a', 'miniversal', 'deformation', 'of', 'matrices', 'of', 'linear', 'operators', 'that', 'is', 'a', 'simple', 'canonical', 'form', 'to', 'which', 'not', 'only', 'a', 'given', 'square', 'matrix', 'a', 'but', 'also', 'the', 'family', 'of', 'all', 'matrices', 'close', 'to', 'a', 'can', 'be', 'reduced', 'by', 'similarity', 'transformations', 'smoothly', 'depending', 'on', 'the', 'entries', 'of', 'matrices', 'we', 'study', 'miniversal', 'deformations', 'of', 'quiver', 'representations', 'and', 'obtain', 'a', 'miniversal', 'deformation', 'of', 'matrices', 'of', 'chains', 'of', 'linear', 'mappings']] | [-0.12176181698617126, 0.10519682637766584, -0.05493650602346117, 0.046108780932225674, -0.09271699757097507, -0.14018776503621372, 0.017475873497979983, 0.32361334645455436, -0.3050728976339489, -0.232811760650222, 0.1255303967196809, -0.26173580084721765, -0.2217836419374428, 0.14739593253289532, -0.09807620602720357, 0.009709882610417032, 0.08882094906074564, 0.03525377793068236, -0.23909094784856327, -0.28933127309111034, 0.3169069066855379, 0.028480768194664028, 0.20721602039834994, -0.03452005230991, 0.1417916790134721, 0.006328806075473111, -0.02722273317056817, -0.0028731846432020138, -0.10123228902564545, 0.12947087991731726, 0.290770304268347, 0.10474383350848765, 0.1918815485619057, -0.33919898690292977, -0.12009795238687233, 0.17658349714399157, 0.09753921559056292, 0.06797069540192893, 0.02830438011525465, -0.27564707519365594, 0.07005024497308798, -0.17857185298843042, -0.11010162595224071, -0.0850549435103917, 0.10569970921746322, 0.03700587278921399, -0.2863763496823996, 0.04839588458878109, 0.12176650764977003, 0.13249692781646918, -0.02965955640334491, -0.16865016729268548, -0.04572654872310239, 0.04867561830981792, -0.03332775154199403, 0.01491457227218364, 0.11500619109961893, -0.06639333712783727, -0.06660614284843981, 0.3627791552186049, -0.02059678513218056, -0.24180453546441993, 0.13450591001272588, -0.13501258163604063, -0.12880694871623213, 0.14019508486577345, 0.16781231974457184, 0.07610973415823725, -0.14739587401076185, 0.18282411370786245, -0.14066622430434475, 0.1725225115312844, 0.12257940356026996, -0.071716950716475, 0.11357928444812825, 0.024069842459125954, 0.06847680253037192, 0.10173117201140319, 0.009389541701522546, -0.059166660226954076, -0.31738407019670906, -0.17856681831906757, -0.17299467074539657, 0.12442515160629145, -0.1452000725365398, -0.21317796420015686, 0.42371390427027333, 0.0031562818444104165, 0.28063006771655824, 0.07456698331092908, 0.08802532962849968, 0.07960067766751829, 0.09266961321186323, 0.051020793949386904, 0.17569665630142411, 0.25232840084180524, 0.035231290778217766, -0.1147084410919191, -0.027974787446392046, 0.18833347199508896] |
710.1279 | The 3He + 4He --> 7Be Astrophysical S-factor | We present precision measurements of the 3He + 4He --> 7Be reaction in the
range ECM = 0.33 to 1.23 MeV using a small gas cell and detection of both
prompt gamma rays and 7Be activity. Our prompt and activity measurements are in
good agreement within an experimental uncertainty of several percent. We find
S(0) = 0.595 +/- 0.018 keV b from fits of the Kajino theory to our data. We
compare our results with published measurements, and we discuss the
consequences for Big Bang Nucleosynthesis and for solar neutrino flux
calculations.
| nucl-ex astro-ph | we present precision measurements of the 3he 4he 7be reaction in the range ecm 033 to 123 mev using a small gas cell and detection of both prompt gamma rays and 7be activity our prompt and activity measurements are in good agreement within an experimental uncertainty of several percent we find s0 0595 0018 kev b from fits of the kajino theory to our data we compare our results with published measurements and we discuss the consequences for big bang nucleosynthesis and for solar neutrino flux calculations | [['we', 'present', 'precision', 'measurements', 'of', 'the', '3he', '4he', '7be', 'reaction', 'in', 'the', 'range', 'ecm', '033', 'to', '123', 'mev', 'using', 'a', 'small', 'gas', 'cell', 'and', 'detection', 'of', 'both', 'prompt', 'gamma', 'rays', 'and', '7be', 'activity', 'our', 'prompt', 'and', 'activity', 'measurements', 'are', 'in', 'good', 'agreement', 'within', 'an', 'experimental', 'uncertainty', 'of', 'several', 'percent', 'we', 'find', 's0', '0595', '0018', 'kev', 'b', 'from', 'fits', 'of', 'the', 'kajino', 'theory', 'to', 'our', 'data', 'we', 'compare', 'our', 'results', 'with', 'published', 'measurements', 'and', 'we', 'discuss', 'the', 'consequences', 'for', 'big', 'bang', 'nucleosynthesis', 'and', 'for', 'solar', 'neutrino', 'flux', 'calculations']] | [-0.010870195314055309, 0.15557703386797964, -0.006370046991262, 0.09626633691233258, 0.03664602951767995, -0.04462555572282263, 0.10759679869299235, 0.37073321299908985, -0.16801139500620232, -0.36292737910827233, 0.011205788433746717, -0.39674355440534825, 0.03479553711448991, 0.23166539978918207, -0.008216639089961212, 0.05865057399713023, 0.13334761879428528, -0.016401381318479083, -0.08587721820790754, -0.1964192119058828, 0.21179378433911086, 0.1192945828769616, 0.19968147836842162, 0.11653921638377183, 0.030422221903071932, -0.05578310706999239, -0.0470232528980908, -0.07430630623427935, -0.20954590778646254, 0.08755710561824746, 0.23620126362575955, 0.1430655398188148, 0.09643859069707782, -0.4236554410416893, -0.20814399431502922, 0.11314241117581206, 0.12181031219607089, 0.07212256992149145, -0.08600352160892515, -0.2755841788684213, 0.07485268823802471, -0.2108933484387519, -0.0984518839273775, -0.045757207185636424, 0.019404274086619534, 0.007448665692124429, -0.2824726380559421, 0.132373952664175, -0.0791091063211477, 0.06738485282394957, -0.15544568276206075, -0.19595748090813325, 0.02749160412688155, 0.06985228843878695, 0.08139524337034239, 0.05007646472882317, 0.18862028176582224, -0.06182200314347134, -0.06716200900751404, 0.41488791828931765, -0.0974096751062546, -0.008609862164269353, 0.1319465340375034, -0.22498952177201592, -0.1914154186649898, 0.15452574206202097, 0.13839478058561813, 0.06005474906902067, -0.14329255745897806, 0.0063012432879605874, -0.00642263675433432, 0.22186684885690378, 0.03404304941542187, -0.010215448108071944, 0.16945698868136766, 0.21918746548553192, -0.042579263248372565, -0.02524629661672597, -0.22917903769154882, -0.015348040726209102, -0.3421621189512269, -0.10130554569755183, -0.06324884384805553, 0.0953390126679699, -0.10942664987128092, -0.05985798300338671, 0.36082383663241946, 0.12265783549979502, 0.26081930623162364, 0.01763513806914954, 0.29185824735133453, 0.041721466479303186, -0.008170668368070755, 0.05217192441138417, 0.3419321181339233, 0.20115800959946112, 0.11460810969042223, -0.2560999574827377, 0.03387785704026735, -0.04296286544914162] |
710.128 | On the Relationship between Mutual Information and Minimum Mean-Square
Errors in Stochastic Dynamical Systems | We consider a general stochastic input-output dynamical system with output
evolving in time as the solution to a functional coefficients, It\^{o}'s
stochastic differential equation, excited by an input process. This general
class of stochastic systems encompasses not only the classical communication
channel models, but also a wide variety of engineering systems appearing
through a whole range of applications. For this general setting we find
analogous of known relationships linking input-output mutual information and
minimum mean causal and non-causal square errors, previously established in the
context of additive Gaussian noise communication channels. Relationships are
not only established in terms of time-averaged quantities, but also their
time-instantaneous, dynamical counterparts are presented. The problem of
appropriately introducing in this general framework a signal-to-noise ratio
notion expressed through a signal-to-noise ratio parameter is also taken into
account, identifying conditions for a proper and meaningful interpretation.
| cs.IT math.IT | we consider a general stochastic inputoutput dynamical system with output evolving in time as the solution to a functional coefficients itos stochastic differential equation excited by an input process this general class of stochastic systems encompasses not only the classical communication channel models but also a wide variety of engineering systems appearing through a whole range of applications for this general setting we find analogous of known relationships linking inputoutput mutual information and minimum mean causal and noncausal square errors previously established in the context of additive gaussian noise communication channels relationships are not only established in terms of timeaveraged quantities but also their timeinstantaneous dynamical counterparts are presented the problem of appropriately introducing in this general framework a signaltonoise ratio notion expressed through a signaltonoise ratio parameter is also taken into account identifying conditions for a proper and meaningful interpretation | [['we', 'consider', 'a', 'general', 'stochastic', 'inputoutput', 'dynamical', 'system', 'with', 'output', 'evolving', 'in', 'time', 'as', 'the', 'solution', 'to', 'a', 'functional', 'coefficients', 'itos', 'stochastic', 'differential', 'equation', 'excited', 'by', 'an', 'input', 'process', 'this', 'general', 'class', 'of', 'stochastic', 'systems', 'encompasses', 'not', 'only', 'the', 'classical', 'communication', 'channel', 'models', 'but', 'also', 'a', 'wide', 'variety', 'of', 'engineering', 'systems', 'appearing', 'through', 'a', 'whole', 'range', 'of', 'applications', 'for', 'this', 'general', 'setting', 'we', 'find', 'analogous', 'of', 'known', 'relationships', 'linking', 'inputoutput', 'mutual', 'information', 'and', 'minimum', 'mean', 'causal', 'and', 'noncausal', 'square', 'errors', 'previously', 'established', 'in', 'the', 'context', 'of', 'additive', 'gaussian', 'noise', 'communication', 'channels', 'relationships', 'are', 'not', 'only', 'established', 'in', 'terms', 'of', 'timeaveraged', 'quantities', 'but', 'also', 'their', 'timeinstantaneous', 'dynamical', 'counterparts', 'are', 'presented', 'the', 'problem', 'of', 'appropriately', 'introducing', 'in', 'this', 'general', 'framework', 'a', 'signaltonoise', 'ratio', 'notion', 'expressed', 'through', 'a', 'signaltonoise', 'ratio', 'parameter', 'is', 'also', 'taken', 'into', 'account', 'identifying', 'conditions', 'for', 'a', 'proper', 'and', 'meaningful', 'interpretation']] | [-0.1590994924326685, 0.06005771749527838, -0.049792648975057065, 0.12766901111766765, -0.07843136487046508, -0.16044461735563867, 0.06109432011499261, 0.3372715210050001, -0.31164752713781085, -0.29584312952513286, 0.10214818071438568, -0.2051373756034894, -0.1916307611935871, 0.19517147909612098, -0.09580371591612591, 0.08446304835643328, 0.06420887467708994, 0.04125898363603715, -0.06207218111974867, -0.217450446107405, 0.29945147742603156, 0.03137959742832744, 0.2478311780496692, -0.017625777793103658, 0.14033850606742268, 0.05152501737375262, -0.06463948360822619, 0.055868210957933824, -0.14244210855962697, 0.09223049556331193, 0.2790428858446934, 0.13577190597033037, 0.282318424467321, -0.3661754724853639, -0.28428052301049656, 0.1254149819930672, 0.13690018463084733, 0.11078716234588032, -0.011875490122970114, -0.28421617833012386, 0.02817978275814325, -0.1699826693201953, -0.08135721346706892, -0.059363305093126095, 0.021556596942113856, 0.03979317361079421, -0.30667137822915685, 0.11624855206431392, 0.07597161582894028, 0.059325415591530976, -0.0645536729332773, -0.1072112005096629, 0.010250845993373623, 0.12130878200500227, -0.009130228938516692, -0.03564338946255941, 0.11546261409290981, -0.12222504702806208, -0.09187545375370071, 0.3426499198131422, -0.06433286459238025, -0.2571310174010747, 0.17099525834679774, -0.11172538557492778, -0.13236406281696145, 0.12549903745109098, 0.20500607359229672, 0.11178755991372234, -0.24804414977841344, 0.0817668985939545, -0.026855146155712453, 0.1682903031580784, 0.04686934462622971, 0.11634885526182963, 0.17129747407074938, 0.1277513593461708, 0.041520761543924506, 0.14735704972838046, -0.01490276368770002, -0.16729877408881216, -0.3178064154447816, -0.13570915060844405, -0.13720469012466782, 0.04501221605088621, -0.11495877633910338, -0.16401076066169015, 0.3422130615258893, 0.12132668299790379, 0.18216600995973176, 0.10040968235463221, 0.2968977368981677, 0.17950640709373888, 0.02080216418278027, 0.06439001315623416, 0.21688854301031282, 0.17983194031085528, 0.11237685577217357, -0.1614788975252882, 0.09665749271248356, 0.027101220965966687] |
710.1281 | Normal holomorphic curves from parabolic regions to projective spaces | A holomorphic map from the complex line to a complex projective space is
called normal (a. k. a. Brody curve) if it is uniformly continuous from the
Euclidean metric to the Fubini--Study metric. The paper contains a survey of
known results about such maps, as well as some new theorems.
| math.CV | a holomorphic map from the complex line to a complex projective space is called normal a k a brody curve if it is uniformly continuous from the euclidean metric to the fubinistudy metric the paper contains a survey of known results about such maps as well as some new theorems | [['a', 'holomorphic', 'map', 'from', 'the', 'complex', 'line', 'to', 'a', 'complex', 'projective', 'space', 'is', 'called', 'normal', 'a', 'k', 'a', 'brody', 'curve', 'if', 'it', 'is', 'uniformly', 'continuous', 'from', 'the', 'euclidean', 'metric', 'to', 'the', 'fubinistudy', 'metric', 'the', 'paper', 'contains', 'a', 'survey', 'of', 'known', 'results', 'about', 'such', 'maps', 'as', 'well', 'as', 'some', 'new', 'theorems']] | [-0.11851717351004482, 0.054327083959942686, -0.11230875282548368, 0.09197833126876503, -0.14429087315686048, -0.10746584276668728, 0.03164878240088001, 0.3580688825249672, -0.3085444250889122, -0.17677367623895407, 0.13976516705006362, -0.3151940722763538, -0.2351933154463768, 0.24719124868512155, -0.1338346225116402, 0.03603469375520944, 0.013334175520576537, 0.11194280371069908, -0.10628019843250514, -0.21040009868564083, 0.41889607466757295, -0.01689403522759676, 0.18686307890340687, 0.01635068560950458, 0.161648649610579, -0.016587904812768103, -0.026517403433099388, 0.053338296887814066, -0.1298890070989728, 0.11180074866861105, 0.26159452185034754, 0.17538732632994652, 0.200799298658967, -0.25914173252880573, -0.24786035791039468, 0.2130871855490841, 0.08657217036932707, 0.028382950723171235, 0.023118681386113168, -0.3093450353294611, 0.07949763080105185, -0.05580374652519822, -0.15906889121979476, -0.0712197364680469, 0.021539719691500068, 0.0327391311340034, -0.20829411961138247, -0.030484051778912544, 0.11786177000263706, 0.08877224780619145, -0.054605627972632645, -0.057584823668003084, -0.07775661279913038, 0.09509778751060366, -0.012305918196216226, 0.20611064332770185, 0.1038174685294507, -0.06847051664663013, -0.0633846690133214, 0.41115875251591205, -0.10669468969106674, -0.22068914899602532, 0.1334644033946097, -0.15734714238438754, -0.12375025810673833, 0.1434868604526855, 0.14265612011775375, 0.17687909197062254, -0.1063473629951477, 0.15002438634168358, -0.1354557842761278, 0.12665387745946646, 0.052859254200011495, -0.021418880261480807, 0.1574591138958931, 0.09379010334610939, 0.14401554377749562, 0.15457573712337763, -0.05727203296497464, -0.08791449926793575, -0.36218899101018903, -0.2182853363826871, -0.17496728479862214, 0.16241195755079388, -0.12231799941509962, -0.21853159453719853, 0.3869513584952802, -0.0033616000041365624, 0.29761166519019755, 0.08879061197862029, 0.2990590588748455, 0.02917678828816861, 0.04717494551092386, 0.07499134300276637, 0.1372535954025807, 0.19270084012299776, 0.06043809600174427, -0.039190082894638184, -0.008718286762014032, 0.09976366919465363] |
710.1282 | The Relativistic framework of Positioning systems | Emission relativistic coordinates are a class of spacetime coordinates
defined and generated by four emitters (satellites, pulsars) broadcasting their
proper time by radio signals. They are the main ingredient of the simplest
conceivable relativistic positioning system. The emission coordinates are
independent of any observer. Receiving directly the proper time at emission of
four satellites, any user or observer can measure the values of the emission
coordinates, from which he/she can obtain his trajectory and hence, in
particular, his position. Moreover, if and only if the four satellites also
broadcast to the users the proper times they are receiving by cross-link
autonavigation from the other emitters, the positioning system is called
autolocated or autonomous. In an autolocated positioning system the
trajectories of the satellites of the constellation can also be known by the
users and they can also obtain the metric of the spacetime (the gravitational
field) on the constellation.
The study of autolocated relativistic positioning systems has been initiated
by Coll and coll. several years ago and it has been aimed for developing an
exact fully relativistic theory of positioning systems and gravimetry, based on
the framework and concepts of General Relativity. This exact relativistic
framework is the alternative to considering post-newtonian relativistic
corrections in a classical Newtonian framework, which is the customary approach
yet now used in GPS and GLONASS.
| gr-qc astro-ph | emission relativistic coordinates are a class of spacetime coordinates defined and generated by four emitters satellites pulsars broadcasting their proper time by radio signals they are the main ingredient of the simplest conceivable relativistic positioning system the emission coordinates are independent of any observer receiving directly the proper time at emission of four satellites any user or observer can measure the values of the emission coordinates from which heshe can obtain his trajectory and hence in particular his position moreover if and only if the four satellites also broadcast to the users the proper times they are receiving by crosslink autonavigation from the other emitters the positioning system is called autolocated or autonomous in an autolocated positioning system the trajectories of the satellites of the constellation can also be known by the users and they can also obtain the metric of the spacetime the gravitational field on the constellation the study of autolocated relativistic positioning systems has been initiated by coll and coll several years ago and it has been aimed for developing an exact fully relativistic theory of positioning systems and gravimetry based on the framework and concepts of general relativity this exact relativistic framework is the alternative to considering postnewtonian relativistic corrections in a classical newtonian framework which is the customary approach yet now used in gps and glonass | [['emission', 'relativistic', 'coordinates', 'are', 'a', 'class', 'of', 'spacetime', 'coordinates', 'defined', 'and', 'generated', 'by', 'four', 'emitters', 'satellites', 'pulsars', 'broadcasting', 'their', 'proper', 'time', 'by', 'radio', 'signals', 'they', 'are', 'the', 'main', 'ingredient', 'of', 'the', 'simplest', 'conceivable', 'relativistic', 'positioning', 'system', 'the', 'emission', 'coordinates', 'are', 'independent', 'of', 'any', 'observer', 'receiving', 'directly', 'the', 'proper', 'time', 'at', 'emission', 'of', 'four', 'satellites', 'any', 'user', 'or', 'observer', 'can', 'measure', 'the', 'values', 'of', 'the', 'emission', 'coordinates', 'from', 'which', 'heshe', 'can', 'obtain', 'his', 'trajectory', 'and', 'hence', 'in', 'particular', 'his', 'position', 'moreover', 'if', 'and', 'only', 'if', 'the', 'four', 'satellites', 'also', 'broadcast', 'to', 'the', 'users', 'the', 'proper', 'times', 'they', 'are', 'receiving', 'by', 'crosslink', 'autonavigation', 'from', 'the', 'other', 'emitters', 'the', 'positioning', 'system', 'is', 'called', 'autolocated', 'or', 'autonomous', 'in', 'an', 'autolocated', 'positioning', 'system', 'the', 'trajectories', 'of', 'the', 'satellites', 'of', 'the', 'constellation', 'can', 'also', 'be', 'known', 'by', 'the', 'users', 'and', 'they', 'can', 'also', 'obtain', 'the', 'metric', 'of', 'the', 'spacetime', 'the', 'gravitational', 'field', 'on', 'the', 'constellation', 'the', 'study', 'of', 'autolocated', 'relativistic', 'positioning', 'systems', 'has', 'been', 'initiated', 'by', 'coll', 'and', 'coll', 'several', 'years', 'ago', 'and', 'it', 'has', 'been', 'aimed', 'for', 'developing', 'an', 'exact', 'fully', 'relativistic', 'theory', 'of', 'positioning', 'systems', 'and', 'gravimetry', 'based', 'on', 'the', 'framework', 'and', 'concepts', 'of', 'general', 'relativity', 'this', 'exact', 'relativistic', 'framework', 'is', 'the', 'alternative', 'to', 'considering', 'postnewtonian', 'relativistic', 'corrections', 'in', 'a', 'classical', 'newtonian', 'framework', 'which', 'is', 'the', 'customary', 'approach', 'yet', 'now', 'used', 'in', 'gps', 'and', 'glonass']] | [-0.15261718397325075, 0.09176609425564741, -0.10246665047121827, 0.06581586036746474, -0.06947073606266217, -0.14469356787475673, 0.003538288465510546, 0.37959880329118195, -0.21367108881558208, -0.309710881983946, 0.09004607583417303, -0.27140553175387055, -0.10779128928922795, 0.2109485016013919, -0.07471399122044783, 0.032824771416926524, 0.04019677675837143, 0.057915714037583464, -0.046027647203829306, -0.22302771801425314, 0.2973065959998745, 0.11444438593885438, 0.2158151447140633, -0.03839214202757417, 0.12414268877949905, 0.0247254834711467, -0.03468997105321085, 0.028576476505788213, -0.05837443196743896, 0.09341363207945093, 0.23175187914378265, 0.16328674791806075, 0.24384762350131164, -0.41390349373052066, -0.22269588773646815, 0.07253332421718038, 0.15002808861476793, 0.13014249683315443, -0.033297924524892795, -0.3627072711813856, 0.0388872495111586, -0.19933823813811283, -0.15409278041810137, -0.003884751646546647, 0.053581841798520394, 0.05480559530128217, -0.20088766996579413, 0.018268701769226358, 0.03717491209125993, 0.04025369791991331, -0.05227416233921593, -0.048574513694885274, 0.0019706622676246544, 0.15953799452294004, 0.0587213913587303, 0.0393920082016848, 0.1428576172858646, -0.07089058979393237, -0.13216711666054007, 0.4638921969104558, 0.009050472124280614, -0.19051371552050114, 0.17903647638370537, -0.1779421859018674, -0.1160896369123789, 0.12116357703608545, 0.16401579054919155, 0.13767818225103176, -0.2158330170353028, 0.08158905346089423, -0.01911701626165516, 0.14670486270280725, 0.08132825908674435, 0.05952190055898179, 0.23640325591391462, 0.08583598061866889, 0.06885120255914941, 0.026831637263372118, -0.112678800934968, -0.07452629298522052, -0.2757387564059834, -0.12600105624243788, -0.17498264047740536, 0.039998623708644036, -0.08108350554717948, -0.09210921782386404, 0.35993001819588244, 0.11890929246993355, 0.09987124892121012, 0.028986590206411412, 0.33279858698899095, 0.11149626467006535, 0.05444995663075877, 0.11765221598007801, 0.30624805486507034, 0.09140309287679636, 0.08373819807417351, -0.17491632038304075, 0.047292785907418214, 0.06644450361332432] |
710.1283 | Renewal-type Limit Theorem for the Gauss Map and Continued Fractions | In this paper we prove the following renewal-type limit theorem. Given an
irrational $\alpha$ in (0,1) and R>0, let $q_{n_R}$ be the first denominator of
the convergents of $\alpha$ which exceeds R. The main result in the paper is
that the ratio $q_{n_R}/R$ has a limiting distribution as R tends to infinity.
The existence of the limiting distribution uses mixing of a special flow over
the natural extension of the Gauss map.
| math.DS | in this paper we prove the following renewaltype limit theorem given an irrational alpha in 01 and r0 let q_n_r be the first denominator of the convergents of alpha which exceeds r the main result in the paper is that the ratio q_n_rr has a limiting distribution as r tends to infinity the existence of the limiting distribution uses mixing of a special flow over the natural extension of the gauss map | [['in', 'this', 'paper', 'we', 'prove', 'the', 'following', 'renewaltype', 'limit', 'theorem', 'given', 'an', 'irrational', 'alpha', 'in', '01', 'and', 'r0', 'let', 'q_n_r', 'be', 'the', 'first', 'denominator', 'of', 'the', 'convergents', 'of', 'alpha', 'which', 'exceeds', 'r', 'the', 'main', 'result', 'in', 'the', 'paper', 'is', 'that', 'the', 'ratio', 'q_n_rr', 'has', 'a', 'limiting', 'distribution', 'as', 'r', 'tends', 'to', 'infinity', 'the', 'existence', 'of', 'the', 'limiting', 'distribution', 'uses', 'mixing', 'of', 'a', 'special', 'flow', 'over', 'the', 'natural', 'extension', 'of', 'the', 'gauss', 'map']] | [-0.15368555378434914, 0.07441242421232995, -0.09964556294892515, 0.010858898370393685, -0.006651135494134256, -0.08859490263941032, 0.039385415177925355, 0.2547985870923315, -0.2907219298183918, -0.21741957286306257, 0.10367363570091714, -0.2747538192230942, -0.11107617413092936, 0.17551926991769246, -0.1025144932691806, 0.007514551654458046, -0.007883270224556326, 0.0829327433636146, -0.052802043427280815, -0.2164318141593997, 0.3364057913954769, 0.02999132951455457, 0.19337081512702362, 0.052764513968889204, 0.09736939594565358, 0.005038369659866606, 0.0005214853145714318, -0.013014700918990587, -0.19331623789174565, 0.07833658551930317, 0.19393263600899704, 0.1194729644173224, 0.31326184453708783, -0.2952513117742326, -0.13840480647715075, 0.19625327016359995, 0.21044204592804558, -0.0056848981766961515, 0.028090762556530535, -0.1969344432332686, 0.12707867337656872, -0.15858241261116096, -0.19207101545429656, 0.007402131127725755, 0.09436354857836185, 0.08170579172936933, -0.30254083720168895, 0.06329661068905677, 0.15008345561634218, 0.061868565324195, -0.026197093944730503, -0.12996928025968374, 0.004062312711695475, 0.13794532249282512, 0.10730946504045277, 0.07704322047398558, 0.06276497706504805, -0.10291964370158634, -0.03356691126246005, 0.3855055654687541, -0.13446893215711628, -0.20193547792732716, 0.10073463415194835, -0.2208247346936592, -0.14919462954359394, 0.11088247777661309, 0.1326623294415185, 0.15441718999562518, -0.04981164271011949, 0.16486108730064838, -0.1231495909925018, 0.14054377836707446, 0.13438047504584705, -0.028152940615213343, 0.15029989965925258, 0.11886291266418994, 0.12637489134046648, 0.16622541154169346, -0.0831785503242697, -0.031991283256294474, -0.38306149010147367, -0.19655160063079424, -0.21163673712040432, 0.14821426480942007, -0.15391534346667218, -0.15846309943257697, 0.36939901494021926, 0.14208499397417265, 0.22365004628497576, 0.12494611140240781, 0.24085969874369248, 0.18711854404204392, 0.0018896814036582197, 0.057164169628439204, 0.17614628379898412, 0.18310911655426027, 0.0557551232881711, -0.14287597952809716, 0.06173069005432938, 0.0924432203273422] |
710.1284 | Comment on "Similarity analysis in magnetohydrodynamics: effects of Hall
and ion-slip currents on free convection flow and mass transfer of a gas past
a semi-infinite vertical plate," A.A. Megahed, S.R. Komy, A.A. Afify | Comment on Similarity analysis in magnetohydrodynamics:effects of Hall and
ion-slip currents on free convection flow and mass transfer of a gas past a
semi-infinite vertical plate, A.A. Megahed, S.R. Komy, A.A. Afify [Acta
Mechanica 151, 185-194 (2001)]
In the above paper is investigated the boundary layer flow of an electrically
conducting fluid over a vertical, stationary plate placed in a calm fluid. The
effects of Hall and ion-slip currents are taken into account. The boundary
layer equations are transformed into ordinary ones using a scaling group of
transformations and subsequently are solved numerically. However, there are two
fundamental errors in the above paper which are presented below.
| physics.flu-dyn | comment on similarity analysis in magnetohydrodynamicseffects of hall and ionslip currents on free convection flow and mass transfer of a gas past a semiinfinite vertical plate aa megahed sr komy aa afify acta mechanica 151 185194 2001 in the above paper is investigated the boundary layer flow of an electrically conducting fluid over a vertical stationary plate placed in a calm fluid the effects of hall and ionslip currents are taken into account the boundary layer equations are transformed into ordinary ones using a scaling group of transformations and subsequently are solved numerically however there are two fundamental errors in the above paper which are presented below | [['comment', 'on', 'similarity', 'analysis', 'in', 'magnetohydrodynamicseffects', 'of', 'hall', 'and', 'ionslip', 'currents', 'on', 'free', 'convection', 'flow', 'and', 'mass', 'transfer', 'of', 'a', 'gas', 'past', 'a', 'semiinfinite', 'vertical', 'plate', 'aa', 'megahed', 'sr', 'komy', 'aa', 'afify', 'acta', 'mechanica', '151', '185194', '2001', 'in', 'the', 'above', 'paper', 'is', 'investigated', 'the', 'boundary', 'layer', 'flow', 'of', 'an', 'electrically', 'conducting', 'fluid', 'over', 'a', 'vertical', 'stationary', 'plate', 'placed', 'in', 'a', 'calm', 'fluid', 'the', 'effects', 'of', 'hall', 'and', 'ionslip', 'currents', 'are', 'taken', 'into', 'account', 'the', 'boundary', 'layer', 'equations', 'are', 'transformed', 'into', 'ordinary', 'ones', 'using', 'a', 'scaling', 'group', 'of', 'transformations', 'and', 'subsequently', 'are', 'solved', 'numerically', 'however', 'there', 'are', 'two', 'fundamental', 'errors', 'in', 'the', 'above', 'paper', 'which', 'are', 'presented', 'below']] | [-0.1542865332850488, 0.17239108755849883, -0.046915300861001014, 0.007994175419444218, -0.00871464402647689, -0.1401510907476768, 0.007819503650534899, 0.37801608972251416, -0.26886570639908314, -0.27158177172765136, 0.12004411492496729, -0.2807731965277344, -0.06387737475335598, 0.19254552435129882, -0.03050722270272672, 0.04565651595010422, 0.03318482884438709, -0.030069859586656093, -0.07953389997594058, -0.18739949645474552, 0.3089267319953069, -0.02632124103605747, 0.2764524292945862, 0.04318677405361086, 0.09206433878280222, -0.031327773085795346, -0.035911809521494434, 0.09543616808485239, -0.150673528178595, 0.045735673852032054, 0.20729378254734912, -0.04147369172656909, 0.2273368133464828, -0.46601369821466504, -0.21199159529060124, -0.013678944772109389, 0.1360812565824017, 0.06617337521049194, -0.037176800800953064, -0.28112953845411537, 0.06286717959679664, -0.13217759118648245, -0.061692840326577424, 0.01266038249246776, 0.04376654548570514, -0.02992530808201991, -0.23044736365787685, 0.10754142305930145, 0.08928248959593475, 0.11071564322337508, -0.10638830182608217, -0.1447558829933405, -0.08927640202455223, 0.10863360260613263, 0.04258365774061531, -0.0006656923703849316, 0.1577652065246366, -0.1211765570845455, -0.033480612253770234, 0.38465655902167784, -0.05821705734124407, -0.21541005166247487, 0.17724867415847256, -0.13244939724449067, -0.026095210998319088, 0.14348585170228034, 0.21096473404206337, 0.0831674897344783, -0.17848695374559612, 0.07895581228425726, -0.10359071475744713, 0.1350524721003603, 0.13639748046640307, -0.08217984993476421, 0.2365480328910053, 0.15180276640690862, 0.02437348530627787, 0.12721089508384467, -0.0917956149019301, -0.09067786363419145, -0.324466022728011, -0.18316279989667236, -0.10759212573524564, 0.04297905758372508, -0.02599572803301271, -0.18034919631085358, 0.3516347668506205, 0.10934328820323572, 0.17543297699186952, -0.030558515101438387, 0.26777897409629076, 0.14442766891792416, 0.03750624272972345, 0.13089622064027936, 0.2650961147993803, 0.21396554857026787, 0.1396335561980959, -0.19864175014197827, 0.002075886344537139, 0.09791300495155156] |
710.1285 | Small scale behavior of the physical conditions and the abundance
discrepancy in the Orion nebula | We present results of long-slit spectroscopy in several positions of the
Orion nebula. Our goal is to study the spatial distribution of a large number
of nebular quantities, including line fluxes, physical conditions and ionic
abundances at a spatial resolution of about 1". We find that protoplanetary
disks (proplyds) show prominent spikes of T([N II]) probably produced by
collisional deexcitation due to the high electron densities found in these
objects. Herbig-Haro objects show also relatively high T([N II]) but probably
produced by local heating due to shocks. We also find that the spatial
distribution of pure recombination O II and [O III] lines is fairly similar, in
contrast to that observed in planetary nebulae. The abundance discrepancy
factor (ADF) of O^{++} remains rather constant along the slit positions, except
in some particular small areas of the nebula where this quantity reaches
somewhat higher values, in particular at the location of the most conspicuous
Herbig-Haro objects: HH 202, HH 203, and HH 204. There is also an apparent
slight increase of the ADF in the inner 40" around theta^1 Ori C. We find a
negative radial gradient of T([O III]) and T([N II]) in the nebula based on the
projected distance from theta^1 Ori C. We explore the behavior of the ADF of
O^{++} with respect to other nebular quantities, finding that it seems to
increase very slightly with the electron temperature. Finally, we estimate the
value of the mean-square electron temperature fluctuation, the so-called t^2
parameter. Our results indicate that the hypothetical thermal inhomogeneities
--if they exist-- should be smaller than our spatial resolution element.
| astro-ph | we present results of longslit spectroscopy in several positions of the orion nebula our goal is to study the spatial distribution of a large number of nebular quantities including line fluxes physical conditions and ionic abundances at a spatial resolution of about 1 we find that protoplanetary disks proplyds show prominent spikes of tn ii probably produced by collisional deexcitation due to the high electron densities found in these objects herbigharo objects show also relatively high tn ii but probably produced by local heating due to shocks we also find that the spatial distribution of pure recombination o ii and o iii lines is fairly similar in contrast to that observed in planetary nebulae the abundance discrepancy factor adf of o remains rather constant along the slit positions except in some particular small areas of the nebula where this quantity reaches somewhat higher values in particular at the location of the most conspicuous herbigharo objects hh 202 hh 203 and hh 204 there is also an apparent slight increase of the adf in the inner 40 around theta1 ori c we find a negative radial gradient of to iii and tn ii in the nebula based on the projected distance from theta1 ori c we explore the behavior of the adf of o with respect to other nebular quantities finding that it seems to increase very slightly with the electron temperature finally we estimate the value of the meansquare electron temperature fluctuation the socalled t2 parameter our results indicate that the hypothetical thermal inhomogeneities if they exist should be smaller than our spatial resolution element | [['we', 'present', 'results', 'of', 'longslit', 'spectroscopy', 'in', 'several', 'positions', 'of', 'the', 'orion', 'nebula', 'our', 'goal', 'is', 'to', 'study', 'the', 'spatial', 'distribution', 'of', 'a', 'large', 'number', 'of', 'nebular', 'quantities', 'including', 'line', 'fluxes', 'physical', 'conditions', 'and', 'ionic', 'abundances', 'at', 'a', 'spatial', 'resolution', 'of', 'about', '1', 'we', 'find', 'that', 'protoplanetary', 'disks', 'proplyds', 'show', 'prominent', 'spikes', 'of', 'tn', 'ii', 'probably', 'produced', 'by', 'collisional', 'deexcitation', 'due', 'to', 'the', 'high', 'electron', 'densities', 'found', 'in', 'these', 'objects', 'herbigharo', 'objects', 'show', 'also', 'relatively', 'high', 'tn', 'ii', 'but', 'probably', 'produced', 'by', 'local', 'heating', 'due', 'to', 'shocks', 'we', 'also', 'find', 'that', 'the', 'spatial', 'distribution', 'of', 'pure', 'recombination', 'o', 'ii', 'and', 'o', 'iii', 'lines', 'is', 'fairly', 'similar', 'in', 'contrast', 'to', 'that', 'observed', 'in', 'planetary', 'nebulae', 'the', 'abundance', 'discrepancy', 'factor', 'adf', 'of', 'o', 'remains', 'rather', 'constant', 'along', 'the', 'slit', 'positions', 'except', 'in', 'some', 'particular', 'small', 'areas', 'of', 'the', 'nebula', 'where', 'this', 'quantity', 'reaches', 'somewhat', 'higher', 'values', 'in', 'particular', 'at', 'the', 'location', 'of', 'the', 'most', 'conspicuous', 'herbigharo', 'objects', 'hh', '202', 'hh', '203', 'and', 'hh', '204', 'there', 'is', 'also', 'an', 'apparent', 'slight', 'increase', 'of', 'the', 'adf', 'in', 'the', 'inner', '40', 'around', 'theta1', 'ori', 'c', 'we', 'find', 'a', 'negative', 'radial', 'gradient', 'of', 'to', 'iii', 'and', 'tn', 'ii', 'in', 'the', 'nebula', 'based', 'on', 'the', 'projected', 'distance', 'from', 'theta1', 'ori', 'c', 'we', 'explore', 'the', 'behavior', 'of', 'the', 'adf', 'of', 'o', 'with', 'respect', 'to', 'other', 'nebular', 'quantities', 'finding', 'that', 'it', 'seems', 'to', 'increase', 'very', 'slightly', 'with', 'the', 'electron', 'temperature', 'finally', 'we', 'estimate', 'the', 'value', 'of', 'the', 'meansquare', 'electron', 'temperature', 'fluctuation', 'the', 'socalled', 't2', 'parameter', 'our', 'results', 'indicate', 'that', 'the', 'hypothetical', 'thermal', 'inhomogeneities', 'if', 'they', 'exist', 'should', 'be', 'smaller', 'than', 'our', 'spatial', 'resolution', 'element']] | [-0.06442121778228233, 0.10544050518683606, -0.030453024737818062, 0.056491355612909175, -0.03167977316155678, -0.11697408176282034, 0.04054199183482747, 0.412481086405943, -0.2203676529777816, -0.3295694816850987, 0.028627278172534028, -0.2687743816384167, -0.04522850091046355, 0.14661626999248872, -0.05086449443907389, -0.0584626413507822, 0.05375236787675124, -0.018827443417021125, -0.05690353906159904, -0.21023600215733684, 0.29769694460028745, 0.08962210995971032, 0.17327357415672182, 0.04290513900758804, 0.03250179788062595, -0.11306736889066843, -0.03603080024521025, 0.027867642983811784, -0.1535237643238704, 0.08402220890066533, 0.21747180166794866, 0.0995499572242206, 0.20088657050586814, -0.3600748349121719, -0.17966990017047688, 0.054971643685767395, 0.18277305923973403, 0.05802967408584114, -0.026071935820498698, -0.2343204203870077, 0.0869567153048438, -0.12570067057825343, -0.18391911877002917, 0.04000442454037872, 0.10504286072902241, 0.0330382073772544, -0.23400564752870573, 0.11231785837334651, 0.035276825643003974, 0.10389699383445505, -0.09591953835168959, -0.16001309076903986, -0.06229476566110158, 0.040634527145269904, 0.040500023179986286, 0.045173959046567104, 0.1671122027789506, -0.16133342451626823, -0.03171866785576743, 0.39382217766119626, -0.08941354420313936, -0.06149172785709489, 0.2544032460329, -0.25816795398472403, -0.16017741025612198, 0.20212514170287352, 0.09108051248597648, 0.14367463551110254, -0.10401415847733898, 0.031470353260882336, -0.033133148336080165, 0.20086546316655035, 0.08759815102126801, 0.07110380226139963, 0.21318493599911167, 0.06639779279500527, 0.036079447882531104, 0.10806926478860232, -0.24459441192008835, -0.0736797898252196, -0.276282205032009, -0.16105077536776663, -0.1298692378753638, 0.06020631973086944, -0.14854483448720168, -0.1481264302963918, 0.31421669907165023, 0.13930851241545136, 0.27219703854676686, -0.010755273656708733, 0.24681474035210416, 0.1104863766576427, 0.07978450885780577, 0.13658781476090398, 0.27080779727779, 0.139289505240279, 0.132745130968122, -0.270243507339663, 0.09971325288544286, -0.005515195559358822] |
710.1286 | Propagation-based x-ray phase-contrast imaging with broad focus
conventional x-ray sources | A propagation-based x-ray phase-contrast imaging (PBI) setup using a
conventional x-ray source (LFF Cu target) is presented. A virtual x-ray source
of 40 x 50 $\mu$$m^2$ was created by using, horizontally, a $6^o$ take-off
angle (with the x-ray tube working in the line focus geometry) and, vertically,
a 50 $\mu$m slit . The sample was set 12 $m$ from the source. Propagation-based
x-ray phase-contrast (PB) image and conventional radiography (CR) of a
polypropylene tube were acquired. Edge enhanced effects and a crack, not
detected in CR, were clearly seen in the PB image. Contrast, visibility of the
object edges and signal to noise ratio of the acquired images were exploited.
The results show that PB images can be acquired by using normal focus (macro
focus) conventional x-ray sources. This apparatus can be used as an standard
phase-contrast imaging setup to analyze different kind of samples with large
field of view (75 x 75 $mm^2$), discarding the use of translators for sample
and detector.
| cond-mat.other | a propagationbased xray phasecontrast imaging pbi setup using a conventional xray source lff cu target is presented a virtual xray source of 40 x 50 mum2 was created by using horizontally a 6o takeoff angle with the xray tube working in the line focus geometry and vertically a 50 mum slit the sample was set 12 m from the source propagationbased xray phasecontrast pb image and conventional radiography cr of a polypropylene tube were acquired edge enhanced effects and a crack not detected in cr were clearly seen in the pb image contrast visibility of the object edges and signal to noise ratio of the acquired images were exploited the results show that pb images can be acquired by using normal focus macro focus conventional xray sources this apparatus can be used as an standard phasecontrast imaging setup to analyze different kind of samples with large field of view 75 x 75 mm2 discarding the use of translators for sample and detector | [['a', 'propagationbased', 'xray', 'phasecontrast', 'imaging', 'pbi', 'setup', 'using', 'a', 'conventional', 'xray', 'source', 'lff', 'cu', 'target', 'is', 'presented', 'a', 'virtual', 'xray', 'source', 'of', '40', 'x', '50', 'mum2', 'was', 'created', 'by', 'using', 'horizontally', 'a', '6o', 'takeoff', 'angle', 'with', 'the', 'xray', 'tube', 'working', 'in', 'the', 'line', 'focus', 'geometry', 'and', 'vertically', 'a', '50', 'mum', 'slit', 'the', 'sample', 'was', 'set', '12', 'm', 'from', 'the', 'source', 'propagationbased', 'xray', 'phasecontrast', 'pb', 'image', 'and', 'conventional', 'radiography', 'cr', 'of', 'a', 'polypropylene', 'tube', 'were', 'acquired', 'edge', 'enhanced', 'effects', 'and', 'a', 'crack', 'not', 'detected', 'in', 'cr', 'were', 'clearly', 'seen', 'in', 'the', 'pb', 'image', 'contrast', 'visibility', 'of', 'the', 'object', 'edges', 'and', 'signal', 'to', 'noise', 'ratio', 'of', 'the', 'acquired', 'images', 'were', 'exploited', 'the', 'results', 'show', 'that', 'pb', 'images', 'can', 'be', 'acquired', 'by', 'using', 'normal', 'focus', 'macro', 'focus', 'conventional', 'xray', 'sources', 'this', 'apparatus', 'can', 'be', 'used', 'as', 'an', 'standard', 'phasecontrast', 'imaging', 'setup', 'to', 'analyze', 'different', 'kind', 'of', 'samples', 'with', 'large', 'field', 'of', 'view', '75', 'x', '75', 'mm2', 'discarding', 'the', 'use', 'of', 'translators', 'for', 'sample', 'and', 'detector']] | [-0.04842547901595632, 0.10324770302943279, -0.046048251613054744, 0.03685183094794298, -0.040324468803764495, -0.15182846831229665, 0.044920623183169944, 0.45953236649065843, -0.23602262363240215, -0.37300441736631373, 0.10470802723616937, -0.33146770407566456, -0.04108587845320595, 0.2109568461022673, -0.063257383761847, 0.04660759370610187, 0.08995798343712073, -0.03658748299593428, -0.059861744056961694, -0.19181942790574222, 0.2334931888445108, 0.06711263093740943, 0.32892782513891566, -0.010709657408527019, 0.10264377742660818, 0.02897723552333996, -0.045567381457299175, 0.06155986452682151, -0.04533369844244185, 0.08415003253124011, 0.2643253538817926, 0.09274610711468591, 0.15917128205218892, -0.4348899654947605, -0.2122964198919542, 0.005971290662677752, 0.11648903896796436, 0.007423574592124809, -0.05756778044433528, -0.31098147809798654, 0.10086430056253448, -0.11123131412903514, -0.09885530232561085, 0.061094408643839415, -0.038556548997466626, 0.003639305852652516, -0.2289604221896073, 0.03386173485117148, 0.010191568627137545, 0.12356872360342769, -0.06673317572193933, -0.10148202814736668, -0.004899941739787198, 0.06654768994934628, -0.048438066112188004, 0.10930020678615956, 0.21349598820961546, -0.09484073169167256, -0.0927248802036047, 0.33560659782242397, -0.04967498810915851, -0.10109702619022609, 0.16130004751849575, -0.18505294834993732, -0.04102894316145713, 0.23276147863793153, 0.14430864086161932, 0.14544450068834847, -0.18478511294197683, 0.024143149210700626, -0.026041937098022043, 0.26694628391644837, 0.12937292958218835, 0.0015300993295961323, 0.19115843137806673, 0.18748136753371605, -0.031911267815617685, 0.1888851694587365, -0.3273200424295575, 0.07020793626383867, -0.2191785138120507, -0.14883760886013875, -0.15325898587930786, 0.06592139399786161, -0.06108333411823058, -0.11234529301154796, 0.3158785752595667, 0.08727436961985573, 0.19396252302240213, -0.04869027578262584, 0.30938930215923416, 0.03922913145185175, 0.09441151672594801, 0.0015917896339094934, 0.26395128622513125, 0.12145459076805029, 0.1637439071373255, -0.155081124770754, 0.028422706340436744, -0.0108244362126254] |
710.1287 | A Limit Theorem for Birkoff sums of non-integrable functions over
rotations | We consider Birkhoff sums of functions with a singularity of type 1/x over
rotations and prove the following limit theorem. Let $S_N= S_N(\alpha,x)$ be
the N^th non-renormalized Birkhoff sum, where $x in [0,1)$ is the initial
point, $\alpha\in [0,1)$ is the rotation number and $(\alpha, x)$ are uniformly
distributed. We prove that $S_N/N$ has a joint limiting distribution in
$(\alpha,x)$ as N tends to infinity. As a corollary, we get the existence of a
limiting distribution for certain trigonometric sums.
| math.DS | we consider birkhoff sums of functions with a singularity of type 1x over rotations and prove the following limit theorem let s_n s_nalphax be the nth nonrenormalized birkhoff sum where x in 01 is the initial point alphain 01 is the rotation number and alpha x are uniformly distributed we prove that s_nn has a joint limiting distribution in alphax as n tends to infinity as a corollary we get the existence of a limiting distribution for certain trigonometric sums | [['we', 'consider', 'birkhoff', 'sums', 'of', 'functions', 'with', 'a', 'singularity', 'of', 'type', '1x', 'over', 'rotations', 'and', 'prove', 'the', 'following', 'limit', 'theorem', 'let', 's_n', 's_nalphax', 'be', 'the', 'nth', 'nonrenormalized', 'birkhoff', 'sum', 'where', 'x', 'in', '01', 'is', 'the', 'initial', 'point', 'alphain', '01', 'is', 'the', 'rotation', 'number', 'and', 'alpha', 'x', 'are', 'uniformly', 'distributed', 'we', 'prove', 'that', 's_nn', 'has', 'a', 'joint', 'limiting', 'distribution', 'in', 'alphax', 'as', 'n', 'tends', 'to', 'infinity', 'as', 'a', 'corollary', 'we', 'get', 'the', 'existence', 'of', 'a', 'limiting', 'distribution', 'for', 'certain', 'trigonometric', 'sums']] | [-0.19674079713140485, 0.0913685426953001, -0.12841840882938874, 0.04184737839276278, 0.024446871220075255, -0.1228663323246697, 0.061742634689317476, 0.33563034123257746, -0.32433190875792806, -0.1684779774020367, 0.10690264379063362, -0.3319079301119605, -0.044277722573002117, 0.1542571339803406, -0.09563966366002642, 0.02956400593577684, -0.003005187970267821, 0.0886062861337692, -0.12677763686648016, -0.2447880478251631, 0.2933642222218899, -0.08024486420746846, 0.18780787537888258, 0.0005328780794634095, 0.10503548523779557, 0.035726274051290904, 0.051212801798423635, -0.048562740968964714, -0.1696785528694841, 0.033598536245312685, 0.23845643707539274, 0.0893175346670743, 0.30828469892657256, -0.3003545934805953, -0.11925862618439088, 0.22822610084910558, 0.20727972389800073, -0.0384077687476632, 0.02397027047781297, -0.20687809225784826, 0.13237218736505868, -0.15197554966316948, -0.24428203852870797, -0.04308707829376188, 0.08986996793736338, 0.1553169509832146, -0.3514713212564776, 0.08857709313212317, 0.12769287586495093, 0.052776510196537535, -0.01068128607990338, -0.17475368702029692, -0.013743565040581588, 0.09285397621909086, 0.06473526677346635, 0.08417818656992875, 0.06256485754576853, -0.02544247827056465, -0.06414409026597874, 0.3725148036580863, -0.07823882947227906, -0.24984786701919157, 0.048242181197657615, -0.2668915266713387, -0.16952795790555544, 0.10418791284996874, 0.12330336087527743, 0.18123348231745673, -0.04859096337628516, 0.18755614551084848, -0.12925283337318444, 0.10957062674894091, 0.15890974212508602, 0.012645535471648732, 0.14590399296765652, 0.07142670081834061, 0.1508956960508529, 0.157556470747318, -0.07561576019241652, -0.032385444245006466, -0.3773364905692354, -0.1671604276811586, -0.2078051765248934, 0.25705318235426766, -0.18790309407558187, -0.18482248847007374, 0.26864892645161365, 0.05528572398013895, 0.2376799565431208, 0.17035809824172454, 0.1539690509509248, 0.18449628901007714, -0.03289522872825118, 0.06520925811197184, 0.08912249732338175, 0.18324152630152582, 0.019125787522113306, -0.09318473107546946, 0.02757356714315807, 0.15625710457657713] |
710.1288 | On Groups with a Supercomplemented Subgroup | Groups, in which every subgroup containing some fixed primary cyclic subgroup
has a complement, are investigated.
| math.GR | groups in which every subgroup containing some fixed primary cyclic subgroup has a complement are investigated | [['groups', 'in', 'which', 'every', 'subgroup', 'containing', 'some', 'fixed', 'primary', 'cyclic', 'subgroup', 'has', 'a', 'complement', 'are', 'investigated']] | [-0.2813874225830659, 0.11495353380450979, -0.09404839435592294, -0.04065955936675891, -0.09180792540428229, -0.19480782534810714, 0.015681596560170874, 0.4364579792600125, -0.31226426374632865, -0.175094892969355, 0.21058144550625002, -0.3181698187254369, -0.048369448457378894, 0.18856636621057987, -0.1655381924356334, -0.1306639887043275, 0.04669857438420877, 0.24362294911406934, -0.030728786252439022, -0.22028957155998796, 0.31755965668708086, -0.0799841876141727, 0.18955072131939232, -0.07506009470671415, 0.013364387210458517, -0.003648575016995892, -0.0651850666035898, -0.017375976662151515, -0.06944625754840672, -0.00939243019092828, 0.2823460325598717, 0.035230864537879825, 0.29307768656872213, -0.29737621664207836, -0.2735356925986707, 0.34423200925812125, 0.17873760240036063, -0.045978580696100835, -0.19874236197210848, -0.2050017616711557, 0.20836846966994926, -0.18753831669164356, -0.14649739174637944, 0.004756454727612436, 0.12196993036195636, -0.004074133932590485, -0.14390228944830596, -0.08099652675446123, -0.007856232463382185, 0.20455096079967916, -0.012563112046336755, -0.16770014283247292, -0.08009335229871795, 0.18608260725159198, 0.0071338561829179525, 0.0785472085699439, 0.09794515958856209, 0.008274704276118428, -0.13812481152126566, 0.48136116471141577, -0.033624962088651955, -0.2158946564886719, 0.14427453745156527, -0.2305344946216792, -0.34638182233902626, 0.17334864649455994, 0.03818644897546619, 0.12004427704960108, -0.08958474814426154, 0.18817327648866922, -0.23463222570717335, 0.09960494711413048, 0.10906668545794673, -0.04328137019183487, 0.13626320287585258, 0.13995276193600148, 0.05574182793498039, 0.154911165649537, 0.11771140084601939, 0.14180901180952787, -0.35602341033518314, -0.14073476137127727, -0.06055342452600598, 0.05210202079615556, -0.09200856869574636, -0.15821531233086716, 0.42495534545741975, -0.03431165253277868, 0.0460868390800897, 0.004965834530594293, 0.15022456413134933, -0.02308732341043651, 0.11395017517497763, 0.19787184981396422, 0.04874090161501954, 0.24637603957671672, -0.2793871827889234, -0.11677521280944347, 0.009185712551698089, 0.16694569907849655] |
710.1289 | Medium dependence of asphaltene agglomeration inhibitor efficiency | Applying chemical additives (molecule inhibitors or dispersants) is one of
the common ways to control asphaltene agglomeration and precipitation. However,
it is not clear why at some conditions the synthetic flocculation inhibitors as
well as resins not only do not inhibit the asphaltene agglomeration,, they may
also promote it, and why the increasing of the additive concentration may lead
to the diminishing of their efficacy. To clarify this issue, in the present
work we have performed a set of vapor preassure osmometry experiments
investigating the asphaltene agglomeration inhibition by commercial and new
inhibitor molecules in toluene and o-diclorobenzene. Monte Carlo computer
modeling has been applied to interpret some unexpected trends of molar mass of
the Puerto Ceiba asphaltene clusters at different concentrations of inhibitor,
assuming that inhibitors efficiency is directly related to their adsorption on
the surface of asphaltene or its complexes. It has been found that a
self-assembly of inhibitor molecules, induced by relative lyophilic or
lyophobic interactions, may be a reason of the inhibitor efficacy declining.
| cond-mat.soft cond-mat.mtrl-sci | applying chemical additives molecule inhibitors or dispersants is one of the common ways to control asphaltene agglomeration and precipitation however it is not clear why at some conditions the synthetic flocculation inhibitors as well as resins not only do not inhibit the asphaltene agglomeration they may also promote it and why the increasing of the additive concentration may lead to the diminishing of their efficacy to clarify this issue in the present work we have performed a set of vapor preassure osmometry experiments investigating the asphaltene agglomeration inhibition by commercial and new inhibitor molecules in toluene and odiclorobenzene monte carlo computer modeling has been applied to interpret some unexpected trends of molar mass of the puerto ceiba asphaltene clusters at different concentrations of inhibitor assuming that inhibitors efficiency is directly related to their adsorption on the surface of asphaltene or its complexes it has been found that a selfassembly of inhibitor molecules induced by relative lyophilic or lyophobic interactions may be a reason of the inhibitor efficacy declining | [['applying', 'chemical', 'additives', 'molecule', 'inhibitors', 'or', 'dispersants', 'is', 'one', 'of', 'the', 'common', 'ways', 'to', 'control', 'asphaltene', 'agglomeration', 'and', 'precipitation', 'however', 'it', 'is', 'not', 'clear', 'why', 'at', 'some', 'conditions', 'the', 'synthetic', 'flocculation', 'inhibitors', 'as', 'well', 'as', 'resins', 'not', 'only', 'do', 'not', 'inhibit', 'the', 'asphaltene', 'agglomeration', 'they', 'may', 'also', 'promote', 'it', 'and', 'why', 'the', 'increasing', 'of', 'the', 'additive', 'concentration', 'may', 'lead', 'to', 'the', 'diminishing', 'of', 'their', 'efficacy', 'to', 'clarify', 'this', 'issue', 'in', 'the', 'present', 'work', 'we', 'have', 'performed', 'a', 'set', 'of', 'vapor', 'preassure', 'osmometry', 'experiments', 'investigating', 'the', 'asphaltene', 'agglomeration', 'inhibition', 'by', 'commercial', 'and', 'new', 'inhibitor', 'molecules', 'in', 'toluene', 'and', 'odiclorobenzene', 'monte', 'carlo', 'computer', 'modeling', 'has', 'been', 'applied', 'to', 'interpret', 'some', 'unexpected', 'trends', 'of', 'molar', 'mass', 'of', 'the', 'puerto', 'ceiba', 'asphaltene', 'clusters', 'at', 'different', 'concentrations', 'of', 'inhibitor', 'assuming', 'that', 'inhibitors', 'efficiency', 'is', 'directly', 'related', 'to', 'their', 'adsorption', 'on', 'the', 'surface', 'of', 'asphaltene', 'or', 'its', 'complexes', 'it', 'has', 'been', 'found', 'that', 'a', 'selfassembly', 'of', 'inhibitor', 'molecules', 'induced', 'by', 'relative', 'lyophilic', 'or', 'lyophobic', 'interactions', 'may', 'be', 'a', 'reason', 'of', 'the', 'inhibitor', 'efficacy', 'declining']] | [-0.05892105495979998, 0.15025552642743098, -0.05819644662872974, 0.06533479885958089, -0.015954902387035588, -0.14200824461420256, 0.08267209355353715, 0.409968733970373, -0.24975372502773835, -0.3002655262276073, 0.07508402643582435, -0.2769230064833137, -0.1791800582378623, 0.14171565971922906, -0.07067031901118351, -0.013026796674507277, 0.02939532342384015, -0.03816814108128928, 0.034699786170900006, -0.2619116430433661, 0.23270321547830808, 0.11041230636511706, 0.24067532822655435, 0.16179000064187848, 0.06025438218240403, -0.08916919983700604, 0.015510706333843476, 0.017670929214797137, -0.12013789463905758, 0.09619555043298009, 0.2537109626377104, 0.08585239521747717, 0.28115081042908363, -0.4864463376715505, -0.26068286414892394, 0.13678705018367962, 0.16955612501860853, 0.11386916331341204, -0.09223270028937776, -0.21401050524568996, 0.06103070458362273, -0.16472558586921063, -0.10890492636059051, -0.09137748422953186, 0.01730390910653432, 0.08476604371148795, -0.2242852808847635, 0.10393510074936785, 0.05326964397311384, 0.10736149599192882, -0.06357409016934847, -0.16056012963887556, -0.1085070260897553, 0.13419479239257795, 0.07580161022173777, 0.0006649007048012197, 0.26457982899712545, -0.10089689854709603, -0.09288342359927168, 0.38770954465162166, -0.028253186452688157, -0.16684832684467174, 0.2928541594733444, -0.11282012409936248, -0.11974955443292856, 0.16359547302098315, 0.14932623991251356, 0.10839763800242196, -0.1631043080491888, -0.016080327641984526, 0.00602066514019403, 0.17886629543785704, 0.11941081041932974, -0.04402404502348437, 0.18484665602274195, 0.2014197461139925, 0.006501683139705036, 0.1213392640908243, -0.0821469657371632, -0.07176786663433525, -0.14221056387045541, -0.2047763547940077, -0.13908760358745154, 0.024612413366747295, -0.043910781584003016, -0.1614650864442639, 0.29990079513882384, 0.13213051356978006, 0.15460152844855551, -0.010027119259927079, 0.22846911449922375, 0.015114486175449993, 0.13565959227042831, -0.04795824877197848, 0.2191282278316044, 0.09386446737781441, 0.10352728666989075, -0.2993158194882098, 0.22910460738316635, 0.00183622502190478] |
710.129 | Limiting jump conditions for Josephson junctions in Ginzburg-Landau
theory | We consider a superconducting/normal/superconducting Josephson junction
modeled through the Ginzburg-Landau theory. When the normal material is
sufficiently thin and the applied magnetic field is below the critical field of
vortex nucleation, we prove to leading order that jump boundary conditions of
the type predicted by de Gennes are satisfied across the junction.
| math.AP math-ph math.MP | we consider a superconductingnormalsuperconducting josephson junction modeled through the ginzburglandau theory when the normal material is sufficiently thin and the applied magnetic field is below the critical field of vortex nucleation we prove to leading order that jump boundary conditions of the type predicted by de gennes are satisfied across the junction | [['we', 'consider', 'a', 'superconductingnormalsuperconducting', 'josephson', 'junction', 'modeled', 'through', 'the', 'ginzburglandau', 'theory', 'when', 'the', 'normal', 'material', 'is', 'sufficiently', 'thin', 'and', 'the', 'applied', 'magnetic', 'field', 'is', 'below', 'the', 'critical', 'field', 'of', 'vortex', 'nucleation', 'we', 'prove', 'to', 'leading', 'order', 'that', 'jump', 'boundary', 'conditions', 'of', 'the', 'type', 'predicted', 'by', 'de', 'gennes', 'are', 'satisfied', 'across', 'the', 'junction']] | [-0.25040636928931165, 0.17110738090167826, -0.05854576528788759, 0.05553939038117488, -0.07718615530757234, -0.1502717631922748, 0.025093375819359116, 0.31916130774726087, -0.25224400139771974, -0.267615496682433, 0.06106592421061718, -0.21586840105457947, -0.11438671671427213, 0.18861279738708758, 0.019947998512249727, 0.01074662098947626, -0.07006304652000275, 0.039186690772811957, -0.032636686438658774, -0.18845904923420256, 0.3749020971590653, -0.08377590965336332, 0.3539998651338884, 0.0327533457804328, 0.04206963445847997, -0.04661671149257857, 0.12821853033696803, 0.10588537436874154, -0.24755318003078103, -0.004649787733796984, 0.2425304392639261, -0.0956271858751559, 0.19425695747710192, -0.5387880680008004, -0.2253676831471519, 0.05960476129817275, 0.15483935108372512, 0.1309294613221517, 0.016645516013690773, -0.30456389993644106, 0.10814509897877891, -0.09677162673324347, -0.17074609821380504, -0.01685361646545621, -0.040731941954268575, 0.047579405238278784, -0.2773697318905481, 0.08605344124281636, 0.03279882282591783, 0.053175790497334674, -0.06974989934287106, -0.02955621309676924, -0.08461862947576894, 0.010738068777964845, 0.041185736922600955, 0.03021266252303926, 0.17842391435260652, -0.16451478676082423, -0.023049960306917246, 0.3072124855377926, -0.08583342422095414, -0.11504584980698732, 0.12030576105014636, -0.16458517650607973, -0.011085914868789796, 0.14486133857952574, 0.04600104809595415, 0.13143407027662482, -0.14561476848281857, 0.1402416006077636, 0.00797908592190092, 0.10528782929311721, 0.10517106184628434, -0.08341999851668683, 0.23309949799799, 0.21847313651009104, 0.050913047385760225, 0.15239927430565542, -0.1452521942063378, -0.1193512398033188, -0.34895201005901283, -0.1569846710906579, -0.1985391187839783, 0.06758735317271203, -0.07982949634018811, -0.24101254924272114, 0.324868206686985, 0.18270938994828612, 0.13581928225231912, -0.0014994335321646829, 0.19671812468172553, 0.19877494782066116, 0.04087665354689726, 0.044828552197521694, 0.20673383115969884, 0.21491993745663562, 0.14183804301949118, -0.2803424675142966, 0.04936915270697612, 0.06354748094096206] |
710.1291 | A viability criterion for modified gravity with an extra force | A recently proposed theory of modified gravity with an explicit ``anomalous''
coupling of the Ricci curvature to matter is discussed, and an inequality is
derived which expresses a necessary and sufficient condition to avoid the
notorius Dolgov-Kawasaki instability.
| gr-qc | a recently proposed theory of modified gravity with an explicit anomalous coupling of the ricci curvature to matter is discussed and an inequality is derived which expresses a necessary and sufficient condition to avoid the notorius dolgovkawasaki instability | [['a', 'recently', 'proposed', 'theory', 'of', 'modified', 'gravity', 'with', 'an', 'explicit', 'anomalous', 'coupling', 'of', 'the', 'ricci', 'curvature', 'to', 'matter', 'is', 'discussed', 'and', 'an', 'inequality', 'is', 'derived', 'which', 'expresses', 'a', 'necessary', 'and', 'sufficient', 'condition', 'to', 'avoid', 'the', 'notorius', 'dolgovkawasaki', 'instability']] | [-0.19610091478790384, 0.10430351280484575, -0.13611810682089748, 0.1382640914651691, -0.15820377677477696, -0.1952942516025458, -0.07553133072419646, 0.22786920487477974, -0.23155714621817744, -0.28939735063829936, 0.09648111477695606, -0.19397813089292598, -0.18004221459095543, 0.13502433375027534, -0.10012463958480873, 0.050742922552131316, -0.06492743124505757, 0.09210562922463224, -0.047187370732678355, -0.2365548181775454, 0.34928421194136544, 0.1111025916966232, 0.27053286417110545, 0.18452239993053512, 0.1672797461065489, -0.08960033223234318, 0.022834355093387736, 0.028660659653109474, -0.24611768383230712, 0.08141263760626316, 0.1259730349143816, 0.09721184635182491, 0.2370319011042247, -0.4281157042730499, -0.2262217818281135, 0.1272216661757714, 0.10829549343199343, 0.10604580064820177, -0.08829046687665018, -0.3096610620189962, 0.06931227974190905, -0.14417364216736844, -0.1989328668160188, -0.09082024023440238, 0.011158713819207373, -0.070681282533081, -0.37433385768452204, 0.10772222672538781, 0.07336233757637642, -0.0018693579209817421, -0.08843418223330297, -0.04035287831179999, -0.05798477377440479, 0.02120495680719614, 0.0966160472457272, 0.031740446272935416, 0.04676460496124786, -0.1291614401380758, -0.0570169958990772, 0.3475219245899368, -0.10325870290398598, -0.2206328319939407, 0.13501640791199296, -0.0487697901506279, -0.10657891375641967, 0.09807244827970862, 0.09900618998988255, 0.1135093887160356, -0.17122026553497072, 0.08656255170589665, -0.008448353993731577, 0.11822007954548541, 0.08829911989537445, 0.018592976176846975, 0.16363014054258126, 0.08542499507500513, 0.08899637316731182, 0.14156043616350036, -0.012669336503824673, -0.09052206938331192, -0.39377070037094325, -0.20270588467954784, -0.17468471246192585, 0.04032002243439894, -0.11668636000359657, -0.170088524326078, 0.3116309241064497, 0.0805836657464907, 0.1316478408470347, 0.05234354349620942, 0.2609331925978532, 0.17133384144304925, 0.07263623812311404, 0.0593388801994356, 0.3098209528504191, 0.27697736618889346, 0.08804607710398331, -0.24506968534173998, -0.005957932991755975, 0.12088897370582295] |
710.1292 | Relationship between EIT Post Eruption Arcades, Coronal Mass Ejections,
Coronal Neutral Line and Magnetic Clouds | There is observational evidence that the elongation of an Earth directed
coronal mass ejection (CME) may indicate the orientation of the underlying
erupting flux rope. In this study, we compare orientations of CMEs, MCs,
eruption arcades and coronal neutral line (CNL). We report on good correlations
between i) the directions of the axial field in EIT arcades and the elongations
of halo CMEs and ii) the tilt of the CNL and MC axis orientations. We found
that majority of the eruptions that had EIT arcades, CMEs and MCs similarly
oriented also had the CNL co-aligned with them. To the contrary, those events
that showed no agreement between orientations of the EIT arcades, CMEs and MCs,
had their MCs aligned with the coronal neutral line. We speculate that the axis
of the ejecta may be rotated in such a way that it is locally aligns itself
with the heliospheric current sheet.
| astro-ph | there is observational evidence that the elongation of an earth directed coronal mass ejection cme may indicate the orientation of the underlying erupting flux rope in this study we compare orientations of cmes mcs eruption arcades and coronal neutral line cnl we report on good correlations between i the directions of the axial field in eit arcades and the elongations of halo cmes and ii the tilt of the cnl and mc axis orientations we found that majority of the eruptions that had eit arcades cmes and mcs similarly oriented also had the cnl coaligned with them to the contrary those events that showed no agreement between orientations of the eit arcades cmes and mcs had their mcs aligned with the coronal neutral line we speculate that the axis of the ejecta may be rotated in such a way that it is locally aligns itself with the heliospheric current sheet | [['there', 'is', 'observational', 'evidence', 'that', 'the', 'elongation', 'of', 'an', 'earth', 'directed', 'coronal', 'mass', 'ejection', 'cme', 'may', 'indicate', 'the', 'orientation', 'of', 'the', 'underlying', 'erupting', 'flux', 'rope', 'in', 'this', 'study', 'we', 'compare', 'orientations', 'of', 'cmes', 'mcs', 'eruption', 'arcades', 'and', 'coronal', 'neutral', 'line', 'cnl', 'we', 'report', 'on', 'good', 'correlations', 'between', 'i', 'the', 'directions', 'of', 'the', 'axial', 'field', 'in', 'eit', 'arcades', 'and', 'the', 'elongations', 'of', 'halo', 'cmes', 'and', 'ii', 'the', 'tilt', 'of', 'the', 'cnl', 'and', 'mc', 'axis', 'orientations', 'we', 'found', 'that', 'majority', 'of', 'the', 'eruptions', 'that', 'had', 'eit', 'arcades', 'cmes', 'and', 'mcs', 'similarly', 'oriented', 'also', 'had', 'the', 'cnl', 'coaligned', 'with', 'them', 'to', 'the', 'contrary', 'those', 'events', 'that', 'showed', 'no', 'agreement', 'between', 'orientations', 'of', 'the', 'eit', 'arcades', 'cmes', 'and', 'mcs', 'had', 'their', 'mcs', 'aligned', 'with', 'the', 'coronal', 'neutral', 'line', 'we', 'speculate', 'that', 'the', 'axis', 'of', 'the', 'ejecta', 'may', 'be', 'rotated', 'in', 'such', 'a', 'way', 'that', 'it', 'is', 'locally', 'aligns', 'itself', 'with', 'the', 'heliospheric', 'current', 'sheet']] | [-0.1747254609130323, 0.21262768514852118, 0.02910978177251915, 0.12525864025965955, -0.10124715480953456, -0.02456455406577637, -0.0020970441369960705, 0.5591942390799522, -0.15030816327780486, -0.34595301194737355, 0.016589889794122428, -0.20963803888725427, -0.13329113950952887, 0.16795933741804522, -0.03494423738059898, -0.05936264488069962, 0.14998070778946082, -0.025373997205557924, -0.07099436704224596, -0.17966074439696966, 0.2462105370530238, 0.08350021864132334, 0.22600306922298236, -0.004522623891631762, 0.09018113036639988, -0.1162812328649064, 0.005065206329648694, 0.019227380224814017, -0.09582035051804269, 0.07295591110984484, 0.1216472554486245, 0.1302620507652561, 0.16181912840654453, -0.4612422662973404, -0.19164612838998438, -0.032750507032809156, 0.195741242437313, -0.0046286116354167465, -0.03978963095927611, -0.3004160103822748, 0.06390650834267338, -0.10432872821576894, -0.12255921288393438, 0.12108985567931085, 0.04954387604957446, 0.04132017351066073, -0.24163806866233548, 0.08283887967603126, 0.05659877723393341, 0.1187434664927423, -0.11012301866430789, -0.044177648797631267, -0.07676762906213601, 0.11394193759808938, 0.17351287813546756, 0.11780446890586366, 0.23101994212406377, -0.1131665477808565, -0.11891149500850588, 0.38695322070270777, 0.0017972884016732374, -0.05499361474066973, 0.19295834815129637, -0.2427288698020857, -0.1484551187014828, 0.17863612015731634, 0.08676145154284313, 0.024813338555395602, -0.09665520328097045, -0.03538051849832603, -0.12157663902423034, 0.11349786049686372, 0.08992794992402196, -0.07118296287143797, 0.31018675533433754, 0.02287835208699107, 0.07908564006599288, 0.10777181656875957, -0.20485627540406615, -0.048484888079886636, -0.25527730270599325, -0.18934051823802292, -0.05544352194915215, 0.052066787950849784, -0.09337966309763336, -0.231791550302878, 0.39533476484939456, 0.21165803471735367, 0.24846952693226437, -0.07949002503417432, 0.2790217797085643, 0.041888633851582806, 0.08352126637318481, 0.1794927445364495, 0.3343268028879538, 0.22389311315181354, 0.19909489159472288, -0.2166490992034475, 0.13041995283526678, 0.049857742889629054] |
710.1293 | Old stellar counter-rotating components in early-type galaxies from
elliptical-spiral mergers | We investigate, by means of numerical simulations, the possibility of forming
counter-rotating old stellar components by major mergers between an elliptical
and a spiral galaxy. We show that counter-rotation can appear both in
dissipative and dissipationless retrograde mergers, and it is mostly associated
to the presence of a disk component, which preserves part of its initial spin.
In turn, the external regions of the two interacting galaxies acquire part of
the orbital angular momentum, due to the action of tidal forces exerted on each
galaxy by the companion.
| astro-ph | we investigate by means of numerical simulations the possibility of forming counterrotating old stellar components by major mergers between an elliptical and a spiral galaxy we show that counterrotation can appear both in dissipative and dissipationless retrograde mergers and it is mostly associated to the presence of a disk component which preserves part of its initial spin in turn the external regions of the two interacting galaxies acquire part of the orbital angular momentum due to the action of tidal forces exerted on each galaxy by the companion | [['we', 'investigate', 'by', 'means', 'of', 'numerical', 'simulations', 'the', 'possibility', 'of', 'forming', 'counterrotating', 'old', 'stellar', 'components', 'by', 'major', 'mergers', 'between', 'an', 'elliptical', 'and', 'a', 'spiral', 'galaxy', 'we', 'show', 'that', 'counterrotation', 'can', 'appear', 'both', 'in', 'dissipative', 'and', 'dissipationless', 'retrograde', 'mergers', 'and', 'it', 'is', 'mostly', 'associated', 'to', 'the', 'presence', 'of', 'a', 'disk', 'component', 'which', 'preserves', 'part', 'of', 'its', 'initial', 'spin', 'in', 'turn', 'the', 'external', 'regions', 'of', 'the', 'two', 'interacting', 'galaxies', 'acquire', 'part', 'of', 'the', 'orbital', 'angular', 'momentum', 'due', 'to', 'the', 'action', 'of', 'tidal', 'forces', 'exerted', 'on', 'each', 'galaxy', 'by', 'the', 'companion']] | [-0.2094457026624613, 0.12535057877688482, -0.09027394107331267, 0.04337902588965583, -0.09908256281844595, 0.010721008478536864, -0.04744343071202324, 0.38454173170876776, -0.21494739967271348, -0.31233032371594827, 0.031061189532258802, -0.25456235867221205, -0.09382790111703798, 0.1825560669266534, -0.008274759557521478, -0.050547619837743696, 0.06187378169587729, -0.074677917428992, -0.033868040479402145, -0.24736162185647778, 0.3627746122550558, 0.03135460404552181, 0.10265552896254865, -0.05370686782142994, 0.11521945451915433, -0.025742166612127967, -0.0726580208230933, -0.033806691390716216, -0.10706664215740602, 0.04600133564831181, 0.18021781430897219, 0.026665516012475233, 0.26978755284058437, -0.43845557944256475, -0.14632177471437238, 0.05782650691716382, 0.2053727286296304, 0.09057648335345386, -0.10182879241421522, -0.28286245615560224, 0.05947569078257815, -0.24726264817317398, -0.19390141606775366, 0.011277401470579207, 0.058487789684229276, 0.032721237850968136, -0.21155128233261744, 0.1738159605725245, 0.14003745776558804, 0.030966203310526907, -0.1043157656425716, -0.02429982682224363, -0.12416681213389066, 0.09796672797661317, 0.08978759942295834, 0.06252423165344888, 0.22657378144636328, -0.17737083350022492, -0.053949638317466124, 0.39817233392122114, -0.03306067820548461, -0.14266480768988418, 0.2696264289816926, -0.21057433262996544, -0.0820060903523964, 0.09448801598045975, 0.17550783636133102, 0.07472685596969147, -0.11978352769404989, 0.0031615526353231294, -0.021362718062432992, 0.15265243601011622, 0.05486080178525299, 0.006859073140565835, 0.3985640885393051, 0.06539652012923564, 0.05858331196073281, 0.14192191245753996, -0.15141246324227806, -0.0943819160298021, -0.22635552939027548, -0.10254228716472756, -0.17088440594538537, 0.06571438417780552, -0.09960850010528785, -0.11757654151667586, 0.3738150336430408, 0.09211806964065711, 0.22396911307640205, -0.027187773340053602, 0.3363987632011148, 0.07196464757593772, 0.11576991944721984, 0.11223902612056752, 0.31608795893473807, 0.2011102472130336, 0.01403237326303497, -0.3274461948259903, 0.06334205127826532, 0.008690247677308931] |
710.1294 | Transition Distribution Amplitudes for gamma* gamma collisions | We study the exclusive production of pi-pi and rho-pi in hard gamma* gamma
scattering in the forward kinematical region where the virtuality of one photon
provides us with a hard scale in the process. The newly introduced concept of
Transition Distribution Amplitudes (TDA) is used to perform a QCD calculation
of these reactions thanks to two simple models for TDAs. The sizable cross
sections for rho-pi and pi-pi production may be tested at intense
electron-positron colliders such as CLEO and B factories (Belle and BaBar).
| hep-ph hep-ex nucl-th | we study the exclusive production of pipi and rhopi in hard gamma gamma scattering in the forward kinematical region where the virtuality of one photon provides us with a hard scale in the process the newly introduced concept of transition distribution amplitudes tda is used to perform a qcd calculation of these reactions thanks to two simple models for tdas the sizable cross sections for rhopi and pipi production may be tested at intense electronpositron colliders such as cleo and b factories belle and babar | [['we', 'study', 'the', 'exclusive', 'production', 'of', 'pipi', 'and', 'rhopi', 'in', 'hard', 'gamma', 'gamma', 'scattering', 'in', 'the', 'forward', 'kinematical', 'region', 'where', 'the', 'virtuality', 'of', 'one', 'photon', 'provides', 'us', 'with', 'a', 'hard', 'scale', 'in', 'the', 'process', 'the', 'newly', 'introduced', 'concept', 'of', 'transition', 'distribution', 'amplitudes', 'tda', 'is', 'used', 'to', 'perform', 'a', 'qcd', 'calculation', 'of', 'these', 'reactions', 'thanks', 'to', 'two', 'simple', 'models', 'for', 'tdas', 'the', 'sizable', 'cross', 'sections', 'for', 'rhopi', 'and', 'pipi', 'production', 'may', 'be', 'tested', 'at', 'intense', 'electronpositron', 'colliders', 'such', 'as', 'cleo', 'and', 'b', 'factories', 'belle', 'and', 'babar']] | [-0.048614738402230774, 0.21489269285298446, -0.14199111880734563, 0.14804419541454564, -0.06473990109584787, -0.11716743912821745, 0.08299460599527639, 0.34437618185492125, -0.19680910443558414, -0.18836391171823968, -0.05844560219933662, -0.3553980728556566, 0.023381319329799973, 0.16226056072285727, 0.12433838475296986, 0.17323840135598884, 0.090324164751698, -0.016264387926853755, 0.008479318129556143, -0.1476357557098655, 0.30596709717612935, 0.06892447004313855, 0.22892483223010512, 0.16236729660235782, -0.013208494510720759, 0.0740644901223919, -0.06604182488860234, -0.09077713421600707, -0.11906801925643402, 0.08354734186740483, 0.30515605370323207, 0.11495065513779135, 0.09837759860298213, -0.3555173456121017, -0.06856894292594755, 0.12909266913364478, 0.16775953611906838, 0.04163378937279477, -0.010445268298773205, -0.3200177452800905, 0.08593629128573572, -0.24307959931080833, -0.09477799432900022, -0.0949497570954811, 0.029707047544584118, -0.08198651649770053, -0.34962556684006224, 0.027457574437208036, -0.08963277825866552, 0.004569032158264342, 0.012883373832001405, -0.19477728666628108, 0.0031956811846398257, 0.034073185142787066, 0.08756573393304065, 0.08532705082119826, 0.15611534290125265, -0.16178875654278432, -0.1994430019355872, 0.3918850333457265, 6.61938451230526e-05, -0.12655850613818448, 0.15669762522310896, -0.23454645568614496, -0.1781300209928304, 0.19843048498253613, 0.24037403441034258, 0.047577632854090016, -0.20175595408415092, 0.11416134102105656, 0.034981786098112075, 0.11812511852887624, 0.12380968712489394, 0.06462605124996866, 0.1484647692674223, 0.2355458466883968, -0.07384167243452633, 0.08104046237353674, -0.1429453549303991, -0.07071131245534429, -0.41483367111616054, -0.13258650527500054, -0.054967069099931154, 0.06137641852118952, -0.014966391256380388, -0.11824947721598779, 0.3174875982105732, 0.055255853599759146, 0.33658545341561824, -0.041925161460633666, 0.32339474205749436, 0.11809993330252302, 0.05621933994116261, 0.03919290535645011, 0.30480212297509696, 0.19029937109307332, 0.15352418923421818, -0.23065185032456237, 0.06113688930430833, 0.02042342303046847] |
710.1295 | On freely indecomposable measures | We show that a probability measure is not a nontrivial free additive
convolution if it puts no mass in an interval whose endpoints are atoms. The
analogous results for free multiplicative convolutions are proved as well. The
proofs use analytic subordination.
| math.OA math.PR | we show that a probability measure is not a nontrivial free additive convolution if it puts no mass in an interval whose endpoints are atoms the analogous results for free multiplicative convolutions are proved as well the proofs use analytic subordination | [['we', 'show', 'that', 'a', 'probability', 'measure', 'is', 'not', 'a', 'nontrivial', 'free', 'additive', 'convolution', 'if', 'it', 'puts', 'no', 'mass', 'in', 'an', 'interval', 'whose', 'endpoints', 'are', 'atoms', 'the', 'analogous', 'results', 'for', 'free', 'multiplicative', 'convolutions', 'are', 'proved', 'as', 'well', 'the', 'proofs', 'use', 'analytic', 'subordination']] | [-0.10186100912865297, 0.15602539834408827, -0.10457585845142603, 0.17530037936606876, -0.07941637269970847, -0.12426493164697071, 0.02747582250399651, 0.43976036872623897, -0.2846867869176516, -0.173531304249858, 0.11210520445971137, -0.2781703707466765, -0.14497657865285873, 0.2518702993601015, -0.12742520414474534, 0.0678473865931354, 0.07120587454154724, 0.12158530723394417, -0.05282040825681534, -0.21199598258770094, 0.3155331255345628, -0.028108386271746784, 0.19966890910504068, 0.08374926276368702, 0.09835528364268745, 0.003751874481123395, -0.06534265380966045, -0.038306838810080436, -0.17349922157935485, 0.05304031925866517, 0.20858832544124709, 0.029814134192902866, 0.2854462504477763, -0.3765641057909262, -0.18416608449798533, 0.1336151918668936, 0.11844081697394936, 0.0384262095591644, -0.055559128591018477, -0.25864272869033056, 0.10337365925221181, -0.17762608365042182, -0.10885263859044488, -0.09506235782783932, 0.04883040737633298, 0.07726346040371715, -0.3136076605935558, 0.030694778554323243, 0.13517010281225894, 0.015138156916491868, -0.04927245343512878, -0.10603173455314302, -0.011374210013167524, 0.10380740659084262, 0.026617202799903546, 0.04293834803932596, 0.11002809291978072, -0.06882760026378602, -0.09937900668237268, 0.3232058091316281, -0.05821799112074986, -0.28781809834990557, 0.17233932683834943, -0.16624685734646713, -0.15703988813499853, 0.08571853255853057, 0.030989513051037382, 0.08835823744217433, -0.1607107180057139, 0.1845682313347735, -0.1183147722082894, 0.1889532749064085, 0.142930524491864, 0.043996078158138184, 0.13074377501701437, 0.057167751351144255, 0.14514998862201847, 0.13376076495070466, 0.01214862698916255, -0.10667968309688859, -0.3549643401510832, -0.18898703880244638, -0.2142909841339399, 0.09504715625016394, -0.0767669236946215, -0.2574728353675909, 0.28582649861984866, 0.08919301560920913, 0.20847891540289287, 0.16280431559354794, 0.27366597786909197, 0.21602566681927207, 0.04860162907336816, 0.11256818829967481, 0.129186085266311, 0.1685615872237377, -0.04844916198493504, -0.07391888828857279, 0.06647972035698774, 0.10701331255457751] |
710.1296 | Type IIA/M-theory Moduli fixing in a Class of Orientifold Models | We present the study of type II A flux vacua and their M-theory duals for
compactification on a class of Calabi-Yau orientifolds. The Kaehler potential
is derived from toroidal compactifications and the superpotential contains a
contribution from non-Abelian gauge degrees of freedoms. We obtain complete
stabilisation of the moduli. We found one supersymmetric minimum and several
non supersymmetric ones. Consistency of the analysis constrains the parameters
of the models in a finite region containing a finite, although very large,
number of flux vacua. From the M-theory side, we found some differences in the
distributions of the physical quantities with respect to the M-theory ensemble
studied by Acharya et al. In particular, it is easier to find small
supersymmetry breaking scale.
| hep-th | we present the study of type ii a flux vacua and their mtheory duals for compactification on a class of calabiyau orientifolds the kaehler potential is derived from toroidal compactifications and the superpotential contains a contribution from nonabelian gauge degrees of freedoms we obtain complete stabilisation of the moduli we found one supersymmetric minimum and several non supersymmetric ones consistency of the analysis constrains the parameters of the models in a finite region containing a finite although very large number of flux vacua from the mtheory side we found some differences in the distributions of the physical quantities with respect to the mtheory ensemble studied by acharya et al in particular it is easier to find small supersymmetry breaking scale | [['we', 'present', 'the', 'study', 'of', 'type', 'ii', 'a', 'flux', 'vacua', 'and', 'their', 'mtheory', 'duals', 'for', 'compactification', 'on', 'a', 'class', 'of', 'calabiyau', 'orientifolds', 'the', 'kaehler', 'potential', 'is', 'derived', 'from', 'toroidal', 'compactifications', 'and', 'the', 'superpotential', 'contains', 'a', 'contribution', 'from', 'nonabelian', 'gauge', 'degrees', 'of', 'freedoms', 'we', 'obtain', 'complete', 'stabilisation', 'of', 'the', 'moduli', 'we', 'found', 'one', 'supersymmetric', 'minimum', 'and', 'several', 'non', 'supersymmetric', 'ones', 'consistency', 'of', 'the', 'analysis', 'constrains', 'the', 'parameters', 'of', 'the', 'models', 'in', 'a', 'finite', 'region', 'containing', 'a', 'finite', 'although', 'very', 'large', 'number', 'of', 'flux', 'vacua', 'from', 'the', 'mtheory', 'side', 'we', 'found', 'some', 'differences', 'in', 'the', 'distributions', 'of', 'the', 'physical', 'quantities', 'with', 'respect', 'to', 'the', 'mtheory', 'ensemble', 'studied', 'by', 'acharya', 'et', 'al', 'in', 'particular', 'it', 'is', 'easier', 'to', 'find', 'small', 'supersymmetry', 'breaking', 'scale']] | [-0.14686666727842143, 0.1375913603459291, -0.04738271256598334, 0.14018557348948282, -0.09615235168603249, -0.11213127408991568, 0.02406880956647607, 0.2993579125245257, -0.1622845489376535, -0.297668557393384, 0.10236614588551068, -0.2617250454379246, -0.12257317725452595, 0.13292359958092373, -0.12140590563479539, 0.004225969050700466, -0.0013083845590396474, 0.0075858598574995995, -0.10288778132138153, -0.2806546875430892, 0.34836545075134684, 0.014883406288087523, 0.2729804053262342, 0.04717352495451147, 0.10154674822988455, -0.08174039179187578, -0.03371870113769546, 0.02387460088454342, -0.152614571119193, 0.1388497414397231, 0.2024846420132538, 0.07296959829206268, 0.10295410549733788, -0.40560636434238406, -0.2181295552305528, 0.1496847393650872, 0.1366017197816594, 0.15949480357424667, -0.015048759326843235, -0.24716462430854638, 0.05147609967971221, -0.16682168888801244, -0.14782104828724793, -0.06466316787991673, 0.036198060006912176, -0.035662715177750215, -0.24521467837815483, 0.043903861899646776, -0.020785175217315554, 0.07292621886202445, -0.04095325402449816, -0.10005874240693326, -0.1162244670287085, 0.04453237608734829, 0.12318657204353561, 0.017675935126802263, 0.10285098014088968, -0.19956227962175035, -0.10882658787304536, 0.3780260489011804, -0.039059267557847006, -0.20992645693865294, 0.14653496900379348, -0.11490363574509198, -0.18535654078392932, 0.14451101446757092, 0.09470089434180409, 0.19600336384416248, -0.07684982158243656, 0.213559682778335, -0.04047912921911726, 0.12812663986502837, 0.066661756990167, 0.06778041012585163, 0.23757771832169966, 0.12390023881647115, 0.060780988493934276, 0.1552883266277301, -0.05990048610450079, -0.11617785897736516, -0.45288131571530055, -0.10199438742432297, -0.10992238301550969, 0.13689450369468734, -0.13210595898332636, -0.18441244261242293, 0.410213403776288, 0.08286839873180725, 0.22469463287852703, 0.06111529465609541, 0.1548357400073049, 0.025072271419048775, 0.0723232958514321, 0.0369824805384269, 0.2570186568707868, 0.16456024753473078, 0.06862084205107143, -0.24124303943438766, -0.12136055263690651, 0.15767912776985515] |
710.1297 | The Fossil Phase in the Life of a Galaxy Group | We investigate the origin and evolution of fossil groups in a concordance
LCDM cosmological simulation. We consider haloes with masses between
$(1-5)\times10^{13} \hMsun$ and study the physical mechanisms that lead to the
formation of the large gap in magnitude between the brightest and the second
most bright group member, which is typical for these fossil systems. Fossil
groups are found to have high dark matter concentrations, which we can relate
to their early formation time. The large magnitude-gaps arise after the groups
have build up half of their final mass, due to merging of massive group
members. We show that the existence of fossil systems is primarily driven by
the relatively early infall of massive satellites, and that we do not find a
strong environmental dependence for these systems. In addition, we find
tentative evidence for fossil group satellites falling in on orbits with
typically lower angular momentum, which might lead to a more efficient merger
onto the host. We find a population of groups at higher redshifts that go
through a ``fossil phase'': a stage where they show a large magnitude-gap,
which is terminated by renewed infall from their environment.
| astro-ph | we investigate the origin and evolution of fossil groups in a concordance lcdm cosmological simulation we consider haloes with masses between 15times1013 hmsun and study the physical mechanisms that lead to the formation of the large gap in magnitude between the brightest and the second most bright group member which is typical for these fossil systems fossil groups are found to have high dark matter concentrations which we can relate to their early formation time the large magnitudegaps arise after the groups have build up half of their final mass due to merging of massive group members we show that the existence of fossil systems is primarily driven by the relatively early infall of massive satellites and that we do not find a strong environmental dependence for these systems in addition we find tentative evidence for fossil group satellites falling in on orbits with typically lower angular momentum which might lead to a more efficient merger onto the host we find a population of groups at higher redshifts that go through a fossil phase a stage where they show a large magnitudegap which is terminated by renewed infall from their environment | [['we', 'investigate', 'the', 'origin', 'and', 'evolution', 'of', 'fossil', 'groups', 'in', 'a', 'concordance', 'lcdm', 'cosmological', 'simulation', 'we', 'consider', 'haloes', 'with', 'masses', 'between', '15times1013', 'hmsun', 'and', 'study', 'the', 'physical', 'mechanisms', 'that', 'lead', 'to', 'the', 'formation', 'of', 'the', 'large', 'gap', 'in', 'magnitude', 'between', 'the', 'brightest', 'and', 'the', 'second', 'most', 'bright', 'group', 'member', 'which', 'is', 'typical', 'for', 'these', 'fossil', 'systems', 'fossil', 'groups', 'are', 'found', 'to', 'have', 'high', 'dark', 'matter', 'concentrations', 'which', 'we', 'can', 'relate', 'to', 'their', 'early', 'formation', 'time', 'the', 'large', 'magnitudegaps', 'arise', 'after', 'the', 'groups', 'have', 'build', 'up', 'half', 'of', 'their', 'final', 'mass', 'due', 'to', 'merging', 'of', 'massive', 'group', 'members', 'we', 'show', 'that', 'the', 'existence', 'of', 'fossil', 'systems', 'is', 'primarily', 'driven', 'by', 'the', 'relatively', 'early', 'infall', 'of', 'massive', 'satellites', 'and', 'that', 'we', 'do', 'not', 'find', 'a', 'strong', 'environmental', 'dependence', 'for', 'these', 'systems', 'in', 'addition', 'we', 'find', 'tentative', 'evidence', 'for', 'fossil', 'group', 'satellites', 'falling', 'in', 'on', 'orbits', 'with', 'typically', 'lower', 'angular', 'momentum', 'which', 'might', 'lead', 'to', 'a', 'more', 'efficient', 'merger', 'onto', 'the', 'host', 'we', 'find', 'a', 'population', 'of', 'groups', 'at', 'higher', 'redshifts', 'that', 'go', 'through', 'a', 'fossil', 'phase', 'a', 'stage', 'where', 'they', 'show', 'a', 'large', 'magnitudegap', 'which', 'is', 'terminated', 'by', 'renewed', 'infall', 'from', 'their', 'environment']] | [-0.13170597951133498, 0.15824668312586468, -0.09994318579234421, 0.09888936217473027, -0.07316281735906972, -0.024780537187557745, 0.03803259243617736, 0.39405218956674987, -0.1961623208437541, -0.3591419383982553, 0.09812235176077787, -0.2503332339643322, -0.07572378933508979, 0.18978953293210113, -0.01905111516479086, -0.07248926153493193, 0.04403516406904252, -0.007025166119305179, -0.07200465883200176, -0.2847846617867695, 0.3390793115900027, 0.045350658942628255, 0.2001151311399534, -0.03480432856025452, 0.06563159325308701, -0.07606652045642283, -0.04608668532331494, -0.02170156454915141, -0.13334978143563816, 0.05168235237076086, 0.22672355526741197, 0.09085430950174068, 0.28110254180315447, -0.4182372324148867, -0.20253697658661118, 0.14134681196090707, 0.18365273215966496, 0.11948730968226223, -0.1531478923624239, -0.26434415754208224, 0.13125038980332976, -0.22879947554270558, -0.12872715810489682, 0.010612339521956412, 0.048372297998557384, 0.024910551128027206, -0.17006624996615077, 0.16606055864905742, -0.00018443723773940447, 0.026799381133466166, -0.08662608949383324, -0.06024233701866754, -0.08148538691556438, 0.12806219488204001, 0.06676995720370038, -0.0068683738466055, 0.16658627940589524, -0.13073832773791744, -0.05981525986831873, 0.44139952455310427, -0.04773035979869359, -0.051079408820480746, 0.2944492479176954, -0.22640827596385746, -0.2053401577261653, 0.11484944669559519, 0.19441475047720003, 0.08354936775558212, -0.11903958261865093, -0.002272768596316034, -0.02669418573458778, 0.18032731581107772, 0.026688384059370754, 0.03968254196274273, 0.33079705602598397, 0.126309294877772, 0.07527388618798292, 0.08143888447963771, -0.08005371173544033, -0.05949753511479085, -0.2181403862976251, -0.14018903150560058, -0.1028877557973635, 0.07268753012853112, -0.08008509987508235, -0.13579811519655854, 0.33539250837094053, 0.1447775945528113, 0.2197534430529328, 0.06095365860048642, 0.24904638179082503, 0.08091198023349205, 0.12834596378664348, 0.09854491550396098, 0.26301728164222327, 0.11600199218175591, 0.01587377874517536, -0.22426445717304733, 0.055365288514951046, 0.0011845567124955199] |
710.1298 | On isogenous principally polarized abelian surfaces | We study a relationship between two genus 2 curves whose jacobians are
isogenous with kernel equal to a maximal isotropic subspace of p-torsion points
with respect to the Weil pairing. For p = 3 we find an explicit relationship
between the set of Weierstrass points of the two curves extending the classical
results of F. Richelot (1837) and G. Humbert (1901) in the case p = 2.
| math.AG | we study a relationship between two genus 2 curves whose jacobians are isogenous with kernel equal to a maximal isotropic subspace of ptorsion points with respect to the weil pairing for p 3 we find an explicit relationship between the set of weierstrass points of the two curves extending the classical results of f richelot 1837 and g humbert 1901 in the case p 2 | [['we', 'study', 'a', 'relationship', 'between', 'two', 'genus', '2', 'curves', 'whose', 'jacobians', 'are', 'isogenous', 'with', 'kernel', 'equal', 'to', 'a', 'maximal', 'isotropic', 'subspace', 'of', 'ptorsion', 'points', 'with', 'respect', 'to', 'the', 'weil', 'pairing', 'for', 'p', '3', 'we', 'find', 'an', 'explicit', 'relationship', 'between', 'the', 'set', 'of', 'weierstrass', 'points', 'of', 'the', 'two', 'curves', 'extending', 'the', 'classical', 'results', 'of', 'f', 'richelot', '1837', 'and', 'g', 'humbert', '1901', 'in', 'the', 'case', 'p', '2']] | [-0.19402222296652885, 0.07131697212619026, -0.12288027484543049, 0.08337575294650518, -0.06645991779290712, -0.15749110345943615, 0.03850242698099464, 0.33479902354570534, -0.2878247159891404, -0.26193962695811374, 0.03236055515276698, -0.3304964978606082, -0.1316604232093176, 0.23699703944417147, -0.09641133479487438, 0.008079622958142024, -0.027015759233528606, 0.0728587152579656, -0.14689660234233506, -0.33442123368239174, 0.41809791542876223, -0.08899804594425055, 0.19422923767079528, 0.004345113325577516, 0.0668892482510553, 0.011734733880998997, -0.00039849338623193595, -0.0878924253754891, -0.17404015127282876, 0.16676009739390932, 0.28546133952645153, 0.02268261186635265, 0.19375831519181913, -0.34270659109147694, -0.12915614310365456, 0.2734745542662075, 0.07700845486699388, -0.05051600606395648, 0.06604168092688689, -0.17668638014091323, 0.09611174997228843, -0.1510526896884235, -0.1915523412135931, -0.01307246733743411, 0.11388733732299162, 0.03324495530687273, -0.2140292272114983, 0.003920198138803244, 0.11257743084659944, 0.2058950954904923, -0.05268370917496773, -0.1609313078224659, -0.0541539534747314, 0.047316877916455266, 0.022239666804671286, 0.09474530505517928, -0.009179226208764773, -0.09461251913498227, -0.10325351741451483, 0.3296097263120688, -0.061881802403009854, -0.17820642838397852, 0.13970787649830946, -0.15513380965074666, -0.052843277650670366, 0.13807396218897058, 0.10006934827050337, 0.11756831384622134, -0.009004638157784938, 0.15471130933236474, -0.09849551878869534, 0.10232665995135903, 0.1172001879590635, -0.09183023199439048, 0.0975922890401517, 0.017267936908711607, 0.06689386430124823, 0.11401877964202028, -0.06010765521428906, -0.023763256391080526, -0.3763484608095426, -0.17698861534635607, -0.13901057120126029, 0.11100377755669447, -0.14229882560074866, -0.14037329833954573, 0.4169832787261559, 0.0053160520368972074, 0.25592060455909144, 0.10429674631271224, 0.17142716212054857, 0.050789018274652056, -0.031497408986951296, 0.12194792093852391, 0.14072769971994253, 0.2077512055922013, -0.06715990009072881, -0.1805536400813323, -0.04175639781527794, 0.17541830099832553] |
710.1299 | Kaluza-Klein relics from warped reheating | It has been suggested that after brane-antibrane inflation in a
Klebanov-Strassler (KS) warped throat, metastable Kaluza-Klein (KK) excitations
can be formed due to nearly-conserved angular momenta along isometric
directions in the throat. If sufficiently long-lived, these relics could
conflict with big bang nucleosynthesis or baryogenesis by dominating the energy
density of the universe. We make a detailed estimate of the decay rate of such
relics using the low energy effective action of type IIB string theory
compactified on the throat geometry, with attention to powers of the warp
factor. We find that it is necessary to turn on SUSY-breaking deformations of
the KS background in order to ensure that the most dangerous relics will decay
fast enough. The decay rate is found to be much larger than the naive guess
based on the dimension of the operators which break the angular isometries of
the throat. For an inflationary warp factor of order $w\sim 10^{-4}$, we obtain
the bound $M_{3/2} \gsim 10^9$ GeV on the scale of SUSY breaking to avoid
cosmological problems from the relics, which is satisfied in the KKLT
construction assumed to stabilize the compactification. Given the requirement
that the relics decay before nucleosynthesis or baryogenesis, we place bounds
on the mass of the relic as a function of the warp factor in the throat for
more general warped backgrounds.
| hep-th | it has been suggested that after braneantibrane inflation in a klebanovstrassler ks warped throat metastable kaluzaklein kk excitations can be formed due to nearlyconserved angular momenta along isometric directions in the throat if sufficiently longlived these relics could conflict with big bang nucleosynthesis or baryogenesis by dominating the energy density of the universe we make a detailed estimate of the decay rate of such relics using the low energy effective action of type iib string theory compactified on the throat geometry with attention to powers of the warp factor we find that it is necessary to turn on susybreaking deformations of the ks background in order to ensure that the most dangerous relics will decay fast enough the decay rate is found to be much larger than the naive guess based on the dimension of the operators which break the angular isometries of the throat for an inflationary warp factor of order wsim 104 we obtain the bound m_32 gsim 109 gev on the scale of susy breaking to avoid cosmological problems from the relics which is satisfied in the kklt construction assumed to stabilize the compactification given the requirement that the relics decay before nucleosynthesis or baryogenesis we place bounds on the mass of the relic as a function of the warp factor in the throat for more general warped backgrounds | [['it', 'has', 'been', 'suggested', 'that', 'after', 'braneantibrane', 'inflation', 'in', 'a', 'klebanovstrassler', 'ks', 'warped', 'throat', 'metastable', 'kaluzaklein', 'kk', 'excitations', 'can', 'be', 'formed', 'due', 'to', 'nearlyconserved', 'angular', 'momenta', 'along', 'isometric', 'directions', 'in', 'the', 'throat', 'if', 'sufficiently', 'longlived', 'these', 'relics', 'could', 'conflict', 'with', 'big', 'bang', 'nucleosynthesis', 'or', 'baryogenesis', 'by', 'dominating', 'the', 'energy', 'density', 'of', 'the', 'universe', 'we', 'make', 'a', 'detailed', 'estimate', 'of', 'the', 'decay', 'rate', 'of', 'such', 'relics', 'using', 'the', 'low', 'energy', 'effective', 'action', 'of', 'type', 'iib', 'string', 'theory', 'compactified', 'on', 'the', 'throat', 'geometry', 'with', 'attention', 'to', 'powers', 'of', 'the', 'warp', 'factor', 'we', 'find', 'that', 'it', 'is', 'necessary', 'to', 'turn', 'on', 'susybreaking', 'deformations', 'of', 'the', 'ks', 'background', 'in', 'order', 'to', 'ensure', 'that', 'the', 'most', 'dangerous', 'relics', 'will', 'decay', 'fast', 'enough', 'the', 'decay', 'rate', 'is', 'found', 'to', 'be', 'much', 'larger', 'than', 'the', 'naive', 'guess', 'based', 'on', 'the', 'dimension', 'of', 'the', 'operators', 'which', 'break', 'the', 'angular', 'isometries', 'of', 'the', 'throat', 'for', 'an', 'inflationary', 'warp', 'factor', 'of', 'order', 'wsim', '104', 'we', 'obtain', 'the', 'bound', 'm_32', 'gsim', '109', 'gev', 'on', 'the', 'scale', 'of', 'susy', 'breaking', 'to', 'avoid', 'cosmological', 'problems', 'from', 'the', 'relics', 'which', 'is', 'satisfied', 'in', 'the', 'kklt', 'construction', 'assumed', 'to', 'stabilize', 'the', 'compactification', 'given', 'the', 'requirement', 'that', 'the', 'relics', 'decay', 'before', 'nucleosynthesis', 'or', 'baryogenesis', 'we', 'place', 'bounds', 'on', 'the', 'mass', 'of', 'the', 'relic', 'as', 'a', 'function', 'of', 'the', 'warp', 'factor', 'in', 'the', 'throat', 'for', 'more', 'general', 'warped', 'backgrounds']] | [-0.1339375776406251, 0.17901634870206873, -0.08632730259201847, 0.16053778900210725, -0.12273525137336276, -0.12091335682177334, 0.003305581339837233, 0.30430554164830614, -0.19504724246000965, -0.2947055257622962, 0.1156506132523053, -0.24395834268660735, -0.023072378086484546, 0.14055652187913825, -0.022327837910886633, 0.000616716837818098, 0.020582144408606885, 0.04248423972146004, -0.04815002400175209, -0.2697013243316458, 0.33247065699366407, 0.1142220877435446, 0.21449442874804578, 0.05551340491131656, 0.06565204831377532, -0.097933157519922, 0.00789862375535762, -0.04649833309974066, -0.17109437189767493, 0.06787864539595279, 0.18132373971160823, 0.13143769124253102, 0.15692667631596766, -0.4551925723824431, -0.19144880202584647, 0.15799082556267466, 0.21079965120779848, 0.11245060851902815, -0.04132847627605116, -0.2906125124830466, 0.09873386199388029, -0.18108862607078247, -0.1477508919642252, -0.03228090841184071, 0.030346276670508928, -0.1071801218815249, -0.27035679597864815, 0.10769778521817358, -0.017002925074478082, -0.0773139106977849, -0.03419888521043154, -0.07180122574538464, -0.054720113081309724, 0.0005703019879008244, 0.19345616416192332, 0.03629568528765349, 0.18400127756961399, -0.15270416980516588, -0.06991703640585302, 0.3824318358400727, -0.07935109058832507, -0.12221295491906044, 0.11865751242067041, -0.16514489906618784, -0.15406294633335185, 0.15441361562416328, 0.13230612264746985, 0.1303423200122911, -0.08722102575739467, 0.15591687158424916, 0.029221317127696766, 0.179467224075598, 0.15049159057845038, 0.06390646315728656, 0.27053115033540387, 0.1484267613913746, 0.10704513504675577, 0.0816981142578537, -0.0754400502992541, -0.07579245509967478, -0.4017415320778864, -0.08224881862274927, -0.11410680647341037, 0.14154148506152348, -0.17513342401301446, -0.15108371505090268, 0.35611593403708086, 0.0741044979319145, 0.24489868094310233, 0.025788366183537435, 0.2484502929391348, 0.0718730191243981, 0.11687612018181323, 0.0977099109999414, 0.3091734135017743, 0.12331384590013601, 0.08222654111034393, -0.2248115790375757, -0.0343535968894771, 0.08660625239172572] |
710.13 | Massive Quark-Gluon Scattering Amplitudes at Tree Level | Results for four-, five-, and six-parton tree amplitudes for massive
quark-antiquark scattering with gluons are calculated using the recursion
relations of Britto, Cachazo, Feng, and Witten. The required diagrams are
generated using shifts of the momenta of a pair of massless legs to complex
values. Checks verifying the calculations are described, and a simple formula
for the shifted spinors of an internal gluon is presented.
| hep-ph | results for four five and sixparton tree amplitudes for massive quarkantiquark scattering with gluons are calculated using the recursion relations of britto cachazo feng and witten the required diagrams are generated using shifts of the momenta of a pair of massless legs to complex values checks verifying the calculations are described and a simple formula for the shifted spinors of an internal gluon is presented | [['results', 'for', 'four', 'five', 'and', 'sixparton', 'tree', 'amplitudes', 'for', 'massive', 'quarkantiquark', 'scattering', 'with', 'gluons', 'are', 'calculated', 'using', 'the', 'recursion', 'relations', 'of', 'britto', 'cachazo', 'feng', 'and', 'witten', 'the', 'required', 'diagrams', 'are', 'generated', 'using', 'shifts', 'of', 'the', 'momenta', 'of', 'a', 'pair', 'of', 'massless', 'legs', 'to', 'complex', 'values', 'checks', 'verifying', 'the', 'calculations', 'are', 'described', 'and', 'a', 'simple', 'formula', 'for', 'the', 'shifted', 'spinors', 'of', 'an', 'internal', 'gluon', 'is', 'presented']] | [-0.1633585793315433, 0.2555785627939713, -0.08555834836442955, 0.15361358261179703, -0.08225392888198257, -0.09999118575069588, 0.033155800512759015, 0.3500220085843466, -0.12386222038185224, -0.2831807656621095, -0.005050589834354469, -0.3168448818178149, -0.11402117148099933, 0.2039002616184007, 0.04858547283220105, 0.0553992922634734, 0.06104206665986567, 0.02337871702911798, -0.0919400199309166, -0.25354890391463414, 0.3638499169028364, -0.023653841730265412, 0.2017037364130374, 0.07950061740120873, 0.10617773940430197, 0.09250663172679197, -0.11232022437616251, -0.010637033934472129, -0.0673960043641273, 0.12729130413936218, 0.1837473497071187, 0.07172430542414077, 0.053311909668991575, -0.38171685198904015, -0.11068341479403898, 0.02382780636253301, 0.17364661582541885, 0.11526618817515555, 0.027231334694079123, -0.27250402241770644, 0.08710037681157701, -0.18812873603019398, -0.19394811728307104, -0.13188966703455662, 0.03768470400973456, -0.033046568220015615, -0.30175478651653975, 0.011132591956993565, -0.02510067388539028, 0.039880505372707375, -0.03503331794490805, -0.17885567502162303, -0.1355204776773462, 0.09820371914247517, 0.04673310058933566, 0.03356212998914998, 0.07777411539427703, -0.18361877715506125, -0.19010868162149563, 0.3355313503961952, -0.03337550868309336, -0.22063521679956466, 0.1529618500280776, -0.1100322996644536, -0.15547543064894853, 0.13795674603898078, 0.059427881162264384, 0.13656151323812082, -0.18980959344480652, 0.10648644318018796, -0.020590897045622114, 0.05985097084703739, 0.20042787768034032, 0.006135869916761294, 0.1963977175182663, 0.08486436345265247, -0.12252269311284181, 0.1394630990580481, -0.02779290630860487, -0.09838594007248957, -0.3553014565841295, -0.14230039472022327, -0.12551389368309174, -0.023591673481860198, -0.13166637049221208, -0.17173771330271848, 0.3420963986427523, 0.05071451904223068, 0.1931731032868811, 0.09819887055346044, 0.27338977868203074, 0.23350313345144968, 0.08918090965016745, 0.09540923808526713, 0.20785104771493934, 0.23824819005676545, 0.06826347443711711, -0.22347297656233422, -0.06583170782323577, 0.1692415492289001] |
710.1301 | Fault-tolerant quantum computation against biased noise | We formulate a scheme for fault-tolerant quantum computation that works
effectively against highly biased noise, where dephasing is far stronger than
all other types of noise. In our scheme, the fundamental operations performed
by the quantum computer are single-qubit preparations, single-qubit
measurements, and conditional-phase (CPHASE) gates, where the noise in the
CPHASE gates is biased. We show that the accuracy threshold for quantum
computation can be improved by exploiting this noise asymmetry; e.g., if
dephasing dominates all other types of noise in the CPHASE gates by four orders
of magnitude, we find a rigorous lower bound on the accuracy threshold higher
by a factor of five than for the case of unbiased noise.
| quant-ph cond-mat.mes-hall cond-mat.supr-con | we formulate a scheme for faulttolerant quantum computation that works effectively against highly biased noise where dephasing is far stronger than all other types of noise in our scheme the fundamental operations performed by the quantum computer are singlequbit preparations singlequbit measurements and conditionalphase cphase gates where the noise in the cphase gates is biased we show that the accuracy threshold for quantum computation can be improved by exploiting this noise asymmetry eg if dephasing dominates all other types of noise in the cphase gates by four orders of magnitude we find a rigorous lower bound on the accuracy threshold higher by a factor of five than for the case of unbiased noise | [['we', 'formulate', 'a', 'scheme', 'for', 'faulttolerant', 'quantum', 'computation', 'that', 'works', 'effectively', 'against', 'highly', 'biased', 'noise', 'where', 'dephasing', 'is', 'far', 'stronger', 'than', 'all', 'other', 'types', 'of', 'noise', 'in', 'our', 'scheme', 'the', 'fundamental', 'operations', 'performed', 'by', 'the', 'quantum', 'computer', 'are', 'singlequbit', 'preparations', 'singlequbit', 'measurements', 'and', 'conditionalphase', 'cphase', 'gates', 'where', 'the', 'noise', 'in', 'the', 'cphase', 'gates', 'is', 'biased', 'we', 'show', 'that', 'the', 'accuracy', 'threshold', 'for', 'quantum', 'computation', 'can', 'be', 'improved', 'by', 'exploiting', 'this', 'noise', 'asymmetry', 'eg', 'if', 'dephasing', 'dominates', 'all', 'other', 'types', 'of', 'noise', 'in', 'the', 'cphase', 'gates', 'by', 'four', 'orders', 'of', 'magnitude', 'we', 'find', 'a', 'rigorous', 'lower', 'bound', 'on', 'the', 'accuracy', 'threshold', 'higher', 'by', 'a', 'factor', 'of', 'five', 'than', 'for', 'the', 'case', 'of', 'unbiased', 'noise']] | [-0.1531683419361315, 0.18058077968343828, -0.006885443179480797, 0.043432385591682936, 0.05968499102885217, -0.22373699310721945, 0.12617007991818266, 0.3830567150648716, -0.19714641277637102, -0.3277178551111601, 0.07807194081905702, -0.24112003783291552, -0.12137844448134436, 0.3002803698676614, -0.08015471006964078, 0.08235945237751029, 0.054830777681374974, -0.0073087093609887945, -0.07922433663687084, -0.33337023289692874, 0.25249301709556143, 0.03403619819720465, 0.2880096270628603, -0.03346080958134437, 0.07396980876564584, -0.005332611888581145, 0.007570715143089801, -0.006639456162146762, -0.0885474553165094, 0.06611016489548889, 0.2311353892813214, 0.05368183291541923, 0.255549511831023, -0.42668892070651054, -0.1923842638961773, 0.08015551704056231, 0.10895357228878914, 0.20668257784461025, -0.0031543696202354227, -0.3070682405712561, 0.09308717402720214, -0.170123799992478, -0.016060977473657215, -0.13094792003224118, 0.012837106456765822, -0.03089696918078492, -0.2951762891514639, 0.11285103148517026, 0.10809776164690214, 0.032730768871518365, 0.07367503600178567, -0.11795041918243586, 0.054914426250152484, 0.13409277802926645, -0.10155683431560092, 0.015469398452545953, 0.22554331985961612, -0.14545311333933036, -0.19938561101691318, 0.3084761526485064, -0.07340806071256056, -0.22067375556953187, 0.12253032776782602, -0.13525003332446897, -0.1040896245163033, 0.09855024887257116, 0.09165747603813632, 0.09490262859385559, -0.12880003037532808, 0.0470837112181342, 0.058941688108365094, 0.2140916486938311, 0.06972964308819572, 0.1240889686736715, 0.10748808343680494, 0.14090615071653, 0.1574490047265998, 0.16424739849547634, -0.07998581855162253, -0.09040523103625818, -0.3001625310893344, -0.11870468862661762, -0.19639240209202785, 0.09111366112123087, -0.08405126556246727, -0.08856064262511455, 0.3934451581776195, 0.1872457094053713, 0.1550914135416949, 0.037414973807743696, 0.3962074801721404, 0.13429578913342768, 0.05769817743335018, 0.09599902566555327, 0.24058649869454382, 0.11939806456521021, -0.0338348239305866, -0.24309507555089296, 0.08968778719004672, -0.002633339168083549] |
710.1302 | Enhanced Non-Gaussianity from Excited Initial States | We use the techniques of effective field theory in an expanding universe to
examine the effect of choosing an excited inflationary initial state built over
the Bunch-Davies state on the CMB bi-spectrum. We find that even for Hadamard
states, there are unexpected enhancements in the bi-spectrum for certain
configurations in momentum space due to interactions of modes in the early
stages of inflation. These enhancements can be parametrically larger than the
standard ones and are potentially observable in current and future data. These
initial state effects have a characteristic signature in $l$-space which
distinguishes them from the usual contributions, with the enhancement being
most pronounced for configurations corresponding to flattened triangles for
which two momenta are collinear.
| hep-th astro-ph gr-qc | we use the techniques of effective field theory in an expanding universe to examine the effect of choosing an excited inflationary initial state built over the bunchdavies state on the cmb bispectrum we find that even for hadamard states there are unexpected enhancements in the bispectrum for certain configurations in momentum space due to interactions of modes in the early stages of inflation these enhancements can be parametrically larger than the standard ones and are potentially observable in current and future data these initial state effects have a characteristic signature in lspace which distinguishes them from the usual contributions with the enhancement being most pronounced for configurations corresponding to flattened triangles for which two momenta are collinear | [['we', 'use', 'the', 'techniques', 'of', 'effective', 'field', 'theory', 'in', 'an', 'expanding', 'universe', 'to', 'examine', 'the', 'effect', 'of', 'choosing', 'an', 'excited', 'inflationary', 'initial', 'state', 'built', 'over', 'the', 'bunchdavies', 'state', 'on', 'the', 'cmb', 'bispectrum', 'we', 'find', 'that', 'even', 'for', 'hadamard', 'states', 'there', 'are', 'unexpected', 'enhancements', 'in', 'the', 'bispectrum', 'for', 'certain', 'configurations', 'in', 'momentum', 'space', 'due', 'to', 'interactions', 'of', 'modes', 'in', 'the', 'early', 'stages', 'of', 'inflation', 'these', 'enhancements', 'can', 'be', 'parametrically', 'larger', 'than', 'the', 'standard', 'ones', 'and', 'are', 'potentially', 'observable', 'in', 'current', 'and', 'future', 'data', 'these', 'initial', 'state', 'effects', 'have', 'a', 'characteristic', 'signature', 'in', 'lspace', 'which', 'distinguishes', 'them', 'from', 'the', 'usual', 'contributions', 'with', 'the', 'enhancement', 'being', 'most', 'pronounced', 'for', 'configurations', 'corresponding', 'to', 'flattened', 'triangles', 'for', 'which', 'two', 'momenta', 'are', 'collinear']] | [-0.15079369785216373, 0.20774909249495946, -0.11421869296240263, 0.1290033745746582, -0.03638800378872925, -0.08898383799669707, -0.05921398902920863, 0.36028812343700445, -0.2322882470350442, -0.2935993459561251, 0.07496875681532308, -0.2930145177146436, -0.07586587300826596, 0.19714830433512026, 0.018026915999750297, 0.00348234014151793, 0.06244927907808342, 0.012467778817169432, -0.06971435863365474, -0.24430555373064092, 0.37207215927684534, 0.03961096751368326, 0.2513983672023074, -0.006068483424874453, 0.02623329944132517, -0.04760051023167295, 0.013709220911364239, 0.024391912886799257, -0.10561321675982654, 0.07907883117908739, 0.24740015470689464, 0.09516052568617922, 0.18977193345124713, -0.42738669962248105, -0.1714434108386437, 0.14039032835698423, 0.15697244039346647, 0.17337245006737614, -0.020967113352619495, -0.28159934451055324, 0.044893211415972814, -0.15474375918443894, -0.11927146985967699, -0.10587695455099018, 0.02400585086956525, -0.059940489544334195, -0.27525313439556104, 0.0849272407793826, 0.013916906321612306, 0.009699360551073765, -0.04164966768346345, -0.13975550959873786, -0.03618721453807293, 0.06848378116105738, 0.07061813783067732, 0.03610797288915158, 0.13647898466477537, -0.18662567953300527, -0.10745998297650845, 0.3487921885222706, -0.09364392220614275, -0.160222448169803, 0.15666699244712406, -0.17872153525837722, -0.12454953319273698, 0.14128043545752317, 0.13587782577746826, 0.09191063606865807, -0.07923786511095479, 0.06776758620782126, 0.059924465922527335, 0.13020237323999181, 0.09782535560890777, 0.09105207648080511, 0.2708304948054063, 0.07889705281863865, 0.06231109131103716, 0.13603367793282223, -0.06697359905626951, -0.11226899566479091, -0.31528054405417705, -0.0989633070018429, -0.13850087125220487, 0.04987527689554243, -0.10562643301290157, -0.1728500553424685, 0.4193625952212665, 0.15865127368169463, 0.2184232579639707, 0.001548596723482777, 0.2929874314234043, 0.08603813987161614, 0.09404562266432068, 0.07483432493192486, 0.31806022719714916, 0.07815936119017056, 0.0728423450068515, -0.19109104864167956, 0.03893651123930756, -0.0006037864368408918] |
710.1303 | Testing Reionization with Gamma Ray Burst Absorption Spectra | We propose to study cosmic reionization using absorption line spectra of
high-redshift Gamma Ray Burst (GRB) afterglows. We show that the statistics of
the dark portions (gaps) in GRB absorption spectra represent exquisite tools to
discriminate among different reionization models. We then compute the
probability to find the largest gap in a given width range [Wmax, Wmax + dW] at
a flux threshold Fth for burst afterglows at redshifts 6.3 < z < 6.7. We show
that different reionization scenarios populate the (Wmax, Fth) plane in a very
different way, allowing to distinguish among different reionization histories.
We provide here useful plots that allow a very simple and direct comparison
between observations and model results. Finally, we apply our methods to GRB
050904 detected at z = 6.29. We show that the observation of this burst
strongly favors reionization models which predict a highly ionized
intergalactic medium at z~6, with an estimated mean neutral hydrogen fraction
xHI = 6.4 \pm 0.3 \times 10^-5 along the line of sight towards GRB 050904.
| astro-ph | we propose to study cosmic reionization using absorption line spectra of highredshift gamma ray burst grb afterglows we show that the statistics of the dark portions gaps in grb absorption spectra represent exquisite tools to discriminate among different reionization models we then compute the probability to find the largest gap in a given width range wmax wmax dw at a flux threshold fth for burst afterglows at redshifts 63 z 67 we show that different reionization scenarios populate the wmax fth plane in a very different way allowing to distinguish among different reionization histories we provide here useful plots that allow a very simple and direct comparison between observations and model results finally we apply our methods to grb 050904 detected at z 629 we show that the observation of this burst strongly favors reionization models which predict a highly ionized intergalactic medium at z6 with an estimated mean neutral hydrogen fraction xhi 64 pm 03 times 105 along the line of sight towards grb 050904 | [['we', 'propose', 'to', 'study', 'cosmic', 'reionization', 'using', 'absorption', 'line', 'spectra', 'of', 'highredshift', 'gamma', 'ray', 'burst', 'grb', 'afterglows', 'we', 'show', 'that', 'the', 'statistics', 'of', 'the', 'dark', 'portions', 'gaps', 'in', 'grb', 'absorption', 'spectra', 'represent', 'exquisite', 'tools', 'to', 'discriminate', 'among', 'different', 'reionization', 'models', 'we', 'then', 'compute', 'the', 'probability', 'to', 'find', 'the', 'largest', 'gap', 'in', 'a', 'given', 'width', 'range', 'wmax', 'wmax', 'dw', 'at', 'a', 'flux', 'threshold', 'fth', 'for', 'burst', 'afterglows', 'at', 'redshifts', '63', 'z', '67', 'we', 'show', 'that', 'different', 'reionization', 'scenarios', 'populate', 'the', 'wmax', 'fth', 'plane', 'in', 'a', 'very', 'different', 'way', 'allowing', 'to', 'distinguish', 'among', 'different', 'reionization', 'histories', 'we', 'provide', 'here', 'useful', 'plots', 'that', 'allow', 'a', 'very', 'simple', 'and', 'direct', 'comparison', 'between', 'observations', 'and', 'model', 'results', 'finally', 'we', 'apply', 'our', 'methods', 'to', 'grb', '050904', 'detected', 'at', 'z', '629', 'we', 'show', 'that', 'the', 'observation', 'of', 'this', 'burst', 'strongly', 'favors', 'reionization', 'models', 'which', 'predict', 'a', 'highly', 'ionized', 'intergalactic', 'medium', 'at', 'z6', 'with', 'an', 'estimated', 'mean', 'neutral', 'hydrogen', 'fraction', 'xhi', '64', 'pm', '03', 'times', '105', 'along', 'the', 'line', 'of', 'sight', 'towards', 'grb', '050904']] | [-0.04725637389851891, 0.12217957614607203, -0.03456966363802463, 0.14058333880153023, -0.08717278120702648, -0.1207540414256818, 0.08398886421325066, 0.5037080321730261, -0.15273717368100154, -0.32959964954720655, -0.03699806958075097, -0.3087251615901309, 0.002455883081553571, 0.19963555889770793, 0.058166235047551654, -0.06545382180187714, 0.06188280107621777, -0.14067741030113945, -0.04366144136783768, -0.26093823899071755, 0.24066795037248653, 0.10179876499663455, 0.2151898627487819, 0.003200276577368334, 0.07787607349518473, -0.06585761024553542, -0.09705318004756897, -0.05816475161651419, -0.22457594639170742, 0.01146553383427616, 0.2643158123329235, 0.13750229125031752, 0.179743806605721, -0.3408361158546913, -0.22815252148198434, 0.14739516153875515, 0.18451754859626204, 0.06429676336154948, -0.038849084424864816, -0.2888225085909916, 0.0754128279864328, -0.1850402207585074, -0.13067188264846982, 0.07044989403606539, 0.017224506991186057, 0.018158819511005408, -0.19451836599261466, 0.1108374651707288, -0.0639574121636849, 0.022629563306059957, -0.04081653407709119, -0.0334944039960504, -0.019478042187808776, 0.04611428784689002, 0.006378003193418978, 0.044805053945529805, 0.17032143623983287, -0.1433252505067433, -0.05194555446070742, 0.4091465919704951, -0.11504327560002152, 0.026660863596227873, 0.19539123788863105, -0.22071133218761757, -0.22232474207440503, 0.20127718140254028, 0.15328320009908808, 0.06920756552479207, -0.121317767801818, -0.025379126512092055, -0.0018858440467212573, 0.23041077189607523, 0.03317642120745437, 0.035492139700126935, 0.3004052583408733, 0.07846509269999721, 0.028223559779328215, 0.050843997265167355, -0.20828651876752657, 0.05522571440788929, -0.28081011847141957, -0.11245141190607157, -0.11240291793505292, 0.1331192637121877, -0.12713637874154543, -0.11372522785361991, 0.3873218977487231, 0.16817949666972665, 0.2757627165831446, 0.11086187063062743, 0.25175119223387304, 0.06381058637108879, -0.0038352336619520582, 0.08358760234473431, 0.2844949127174914, 0.14127071780231165, 0.07911655389218512, -0.17589973141046533, 0.07247777380251202, -0.004077703985161182] |
710.1304 | Balanced metrics and noncommutative Kaehler geometry | In this paper we show how Einstein metrics are naturally described using the
quantization of the algebra of functions on a Kahler manifold M. In this setup
one interprets M as the phase space itself, equipped with the Poisson brackets
inherited from the Kahler 2-form. We compare the geometric quantization
framework with several deformation quantization approaches. We find that the
balanced metrics appear naturally as a result of setting the vacuum energy to
be the constant function on the moduli space of semiclassical vacua. In the
classical limit these metrics become Kahler-Einstein (when M admits such
metrics). Finally, we sketch several applications of this formalism, such as
explicit constructions of special Lagrangian submanifolds in compact Calabi-Yau
manifolds.
| hep-th math-ph math.DG math.MP | in this paper we show how einstein metrics are naturally described using the quantization of the algebra of functions on a kahler manifold m in this setup one interprets m as the phase space itself equipped with the poisson brackets inherited from the kahler 2form we compare the geometric quantization framework with several deformation quantization approaches we find that the balanced metrics appear naturally as a result of setting the vacuum energy to be the constant function on the moduli space of semiclassical vacua in the classical limit these metrics become kahlereinstein when m admits such metrics finally we sketch several applications of this formalism such as explicit constructions of special lagrangian submanifolds in compact calabiyau manifolds | [['in', 'this', 'paper', 'we', 'show', 'how', 'einstein', 'metrics', 'are', 'naturally', 'described', 'using', 'the', 'quantization', 'of', 'the', 'algebra', 'of', 'functions', 'on', 'a', 'kahler', 'manifold', 'm', 'in', 'this', 'setup', 'one', 'interprets', 'm', 'as', 'the', 'phase', 'space', 'itself', 'equipped', 'with', 'the', 'poisson', 'brackets', 'inherited', 'from', 'the', 'kahler', '2form', 'we', 'compare', 'the', 'geometric', 'quantization', 'framework', 'with', 'several', 'deformation', 'quantization', 'approaches', 'we', 'find', 'that', 'the', 'balanced', 'metrics', 'appear', 'naturally', 'as', 'a', 'result', 'of', 'setting', 'the', 'vacuum', 'energy', 'to', 'be', 'the', 'constant', 'function', 'on', 'the', 'moduli', 'space', 'of', 'semiclassical', 'vacua', 'in', 'the', 'classical', 'limit', 'these', 'metrics', 'become', 'kahlereinstein', 'when', 'm', 'admits', 'such', 'metrics', 'finally', 'we', 'sketch', 'several', 'applications', 'of', 'this', 'formalism', 'such', 'as', 'explicit', 'constructions', 'of', 'special', 'lagrangian', 'submanifolds', 'in', 'compact', 'calabiyau', 'manifolds']] | [-0.1740259014738676, 0.06626065396484879, -0.08511570478494987, 0.12056692314043672, -0.09612881496317811, -0.12763090725415027, -0.025805516085889924, 0.3504101587738046, -0.25278741832918084, -0.2526094025701412, 0.08612266424983644, -0.23222390187179875, -0.2444133168627691, 0.179221216798163, -0.17464137229168963, 0.007801112567639759, 0.06977581737849575, 0.07216306904760691, -0.15265121589948097, -0.27700109681926477, 0.4782517702342608, 0.021409272104820125, 0.254604022567853, 0.021159834030450474, 0.15243634953298885, -0.03426051032371246, 0.011188166502576608, 0.042511751901151404, -0.16034375611747642, 0.09124054780436887, 0.2617617246881923, 0.08686632125312065, 0.16573657280104792, -0.38716747337936336, -0.21669471197021314, 0.1400255379306837, 0.11319174448378448, 0.07979332813276695, 0.0034467948532989645, -0.2953964217255513, 0.05711206432002095, -0.149304980193225, -0.14324718399339506, -0.12078530270990351, -0.038648612391299166, -0.010150636781134412, -0.17187219847821528, -0.021785811935034063, 0.06020485968169812, -0.002155055459111165, -0.10278313126192133, -0.09872707538505714, -0.033179689859414205, 0.05385888962629331, 0.061307222821200505, 0.0855050155461137, 0.13730589424570402, -0.07298177702782246, -0.11258798144741827, 0.38935575307084197, -0.12017517648169644, -0.31427911360963035, 0.08603216720442487, -0.0996728350655136, -0.17808209902917346, 0.06846297921266598, 0.11157308384362194, 0.19128966885101464, -0.05942533097419446, 0.19528124522837922, -0.031120587420912508, 0.03313063764467071, 0.10903960819411863, 0.06523462218773735, 0.15613593141604057, 0.13303875724355188, 0.10479558240940683, 0.11528722915507884, -0.006905659551644682, -0.1319097829146836, -0.4092406465902797, -0.19852251545544122, -0.13434304946906164, 0.1750581205671287, -0.1639807958331986, -0.20470355522349223, 0.3661435446025342, 0.047786197148991794, 0.241446527855423, 0.09197308999311148, 0.2618383075803136, 0.06063357164633548, 0.06481594287264997, 0.057230933107690424, 0.21342042279250634, 0.16719134928336224, 0.08063010262468687, -0.13224955439830247, -0.11996168056035288, 0.12531012331899732] |
710.1305 | Unique continuation results for Ricci curvature and applications | Unique continuation results are proved for metrics with prescribed Ricci
curvature in the setting of bounded metrics on compact manifolds with boundary,
and in the setting of complete, conformally compact metrics. Related to this
issue, an isometry extension property is proved: continuous groups of
isometries at conformal infinity extend into the bulk of any complete
conformally compact Einstein metric. Relations of this property with the
invariance of the Gauss-Codazzi constraint equations under deformations are
also discussed.
| math.DG | unique continuation results are proved for metrics with prescribed ricci curvature in the setting of bounded metrics on compact manifolds with boundary and in the setting of complete conformally compact metrics related to this issue an isometry extension property is proved continuous groups of isometries at conformal infinity extend into the bulk of any complete conformally compact einstein metric relations of this property with the invariance of the gausscodazzi constraint equations under deformations are also discussed | [['unique', 'continuation', 'results', 'are', 'proved', 'for', 'metrics', 'with', 'prescribed', 'ricci', 'curvature', 'in', 'the', 'setting', 'of', 'bounded', 'metrics', 'on', 'compact', 'manifolds', 'with', 'boundary', 'and', 'in', 'the', 'setting', 'of', 'complete', 'conformally', 'compact', 'metrics', 'related', 'to', 'this', 'issue', 'an', 'isometry', 'extension', 'property', 'is', 'proved', 'continuous', 'groups', 'of', 'isometries', 'at', 'conformal', 'infinity', 'extend', 'into', 'the', 'bulk', 'of', 'any', 'complete', 'conformally', 'compact', 'einstein', 'metric', 'relations', 'of', 'this', 'property', 'with', 'the', 'invariance', 'of', 'the', 'gausscodazzi', 'constraint', 'equations', 'under', 'deformations', 'are', 'also', 'discussed']] | [-0.17970865286004387, 0.06926012341730377, -0.08175752115877051, 0.06939361784086366, -0.14805923385153474, -0.14856024338912807, -0.10639280747426183, 0.36684976206896336, -0.21965647986354797, -0.1806290091848687, 0.14331045889795, -0.2919861565858714, -0.1313284956727569, 0.1664094965243222, -0.1483727303964674, 0.0902639802937445, 0.04038705687822872, 0.11597237471601386, -0.15536649560702867, -0.280365671080194, 0.483571460960727, -0.00384108028006985, 0.28750448868806033, 0.09293968559742145, 0.1445824338872243, -0.05295464798415962, -0.03797988407313824, 0.06509339270843684, -0.18475633833287775, 0.09897371208736379, 0.24705830689115255, 0.08840636218481354, 0.20221510986601443, -0.3517727357408914, -0.24120993411021405, 0.13440895878317716, 0.06296516730646162, 0.017269606358910863, -0.03382564510531282, -0.3845899980025072, 0.13163714435588764, -0.04285121558381146, -0.2272617743514466, -0.07697829103562981, -0.006959097533437766, -0.05949973285590347, -0.19578529147455762, 0.031253334180387594, 0.13876492911520855, 0.04512544391725801, -0.16213692109541675, -0.0036641468024371485, -0.0467266436653996, 0.07621494302599642, 0.08330419333651662, 0.055356090370639176, 0.07136622717064854, -0.03832385299411774, -0.10505307746720255, 0.38127970175915643, -0.10525569218014807, -0.3562818944552227, 0.13377159143994122, -0.1474196562469986, -0.20035394151253919, 0.08667695390575222, 0.14732239479934306, 0.19388212819926834, -0.15002976638865412, 0.21453184981778337, -0.031920634135052466, 0.07094559263388969, 0.13069334508557068, 0.043477798297413085, 0.1256321883074155, 0.07648524105254757, 0.1797563318579801, 0.15552547982415968, 0.12073625449556857, -0.06434033458170138, -0.4048256267009205, -0.19567938585226474, -0.12215455954796389, 0.15048827594881387, -0.18771258375196148, -0.20683063598852114, 0.3357570732110425, -0.014406003110994598, 0.15080393309165774, 0.16243412610339492, 0.18902340014220068, 0.04357651974331882, 0.07421275574444353, 0.12630537900411964, 0.22861336568664564, 0.22984492801448428, 0.03567024594705895, -0.1290025379520988, -0.0895549934571854, 0.15865726755854617] |
710.1306 | Strain-induced insulator state in La_0.7Sr_0.3CoO_3 | We report on the observation of a strain-induced insulator state in
ferromagnetic La_0.7Sr_0.3CoO_3 films. Tensile strain above 1% is found to
enhance the resistivity by several orders of magnitude. Reversible strain of
0.15% applied using a piezoelectric substrate triggers huge resistance
modulations, including a change by a factor of 10 in the paramagnetic regime at
300 K. However, below the ferromagnetic ordering temperature, the magnetization
data indicate weak dependence on strain for the spin state of the Co ions. We
interpret the changes observed in the transport properties in terms of a
strain-induced splitting of the Co e_g levels and reduced double exchange,
combined with a percolation-type conduction in an electronic cluster state.
| cond-mat.str-el cond-mat.mtrl-sci | we report on the observation of a straininduced insulator state in ferromagnetic la_07sr_03coo_3 films tensile strain above 1 is found to enhance the resistivity by several orders of magnitude reversible strain of 015 applied using a piezoelectric substrate triggers huge resistance modulations including a change by a factor of 10 in the paramagnetic regime at 300 k however below the ferromagnetic ordering temperature the magnetization data indicate weak dependence on strain for the spin state of the co ions we interpret the changes observed in the transport properties in terms of a straininduced splitting of the co e_g levels and reduced double exchange combined with a percolationtype conduction in an electronic cluster state | [['we', 'report', 'on', 'the', 'observation', 'of', 'a', 'straininduced', 'insulator', 'state', 'in', 'ferromagnetic', 'la_07sr_03coo_3', 'films', 'tensile', 'strain', 'above', '1', 'is', 'found', 'to', 'enhance', 'the', 'resistivity', 'by', 'several', 'orders', 'of', 'magnitude', 'reversible', 'strain', 'of', '015', 'applied', 'using', 'a', 'piezoelectric', 'substrate', 'triggers', 'huge', 'resistance', 'modulations', 'including', 'a', 'change', 'by', 'a', 'factor', 'of', '10', 'in', 'the', 'paramagnetic', 'regime', 'at', '300', 'k', 'however', 'below', 'the', 'ferromagnetic', 'ordering', 'temperature', 'the', 'magnetization', 'data', 'indicate', 'weak', 'dependence', 'on', 'strain', 'for', 'the', 'spin', 'state', 'of', 'the', 'co', 'ions', 'we', 'interpret', 'the', 'changes', 'observed', 'in', 'the', 'transport', 'properties', 'in', 'terms', 'of', 'a', 'straininduced', 'splitting', 'of', 'the', 'co', 'e_g', 'levels', 'and', 'reduced', 'double', 'exchange', 'combined', 'with', 'a', 'percolationtype', 'conduction', 'in', 'an', 'electronic', 'cluster', 'state']] | [-0.18278557621766772, 0.20942932145324417, 0.018089238945724426, -0.012761653638939349, -0.0016106775492034128, -0.07917770414934618, 0.12695485914941976, 0.39754045260163534, -0.30695303004910857, -0.3086194842476892, 0.007082668766667819, -0.31004692755837354, -0.0721552564630664, 0.18443017171085935, 0.0756577168533628, -0.044725435316167045, -0.02397110765239438, -0.04418351161664566, -0.1409806394455048, -0.20425860884401584, 0.2559397195793474, 0.019242238626296145, 0.34127862337745923, 0.09616329607891694, 0.056192571652715254, -0.006032900431448907, 0.13795368920649048, 0.04021914928030651, -0.15868911606507413, 0.020339411382104447, 0.24094826708943376, -0.14605194334439373, 0.20230325076531255, -0.43936494858193714, -0.19736134216387188, -0.02299235287262539, 0.07369800060328129, 0.13534237511983488, -0.04345585038860749, -0.25591567870377835, 0.060560777970894646, -0.14559897412010261, -0.08151105351939765, -0.0840220176449985, -0.018878505301488713, -0.02024623948310098, -0.25019100070230466, 0.15302593920759, 0.0681232442621933, 0.14108831529398408, -0.1306215915602294, -0.1574181820208256, -0.1045732710559943, 0.018194473974934195, 0.06116765913495843, 0.07796225844330229, 0.21823827792226905, -0.10318505049856232, -0.12874582945356305, 0.3270660315298236, -0.09858684253928342, -0.04912835912597654, 0.130808344568266, -0.1948099225611154, -0.0775014943550382, 0.21901578567839697, 0.11878369341653862, 0.06463895544442719, -0.12068643741540414, 0.056955541273377076, 0.07585879269393936, 0.23962715254948203, 0.04233400477508528, 0.029465435332396126, 0.21460736899809763, 0.20091092095203467, 0.06622819122817136, 0.16454200692211104, -0.1634565913118422, -0.0029395120795321673, -0.20985470183885993, -0.1583463879393834, -0.21177689445955036, 0.10643222358127215, -0.11891222211923265, -0.16814659391241396, 0.41227816589139565, 0.1254270476148983, 0.20271403110066874, -0.07975937406928073, 0.20694993723975083, 0.09902766200227547, 0.07330788153664629, 0.014297511342055766, 0.2938616034838544, 0.20978249477189595, 0.15242858053044936, -0.30628585433422595, 0.1284835742728834, -0.05404580691705697] |
710.1307 | Common Markets, Strong Currencies & the Collective Welfare | The so called "globalization" process (i.e. the inexorable integration of
markets, currencies, nation-states, technologies and the intensification of
consciousness of the world as a whole) has a behavior exactly equivalent to a
system that is tending to a maximum entropy state. This globalization process
obeys a collective welfare principle in where the maximum payoff is given by
the equilibrium of the system and its stability by the maximization of the
welfare of the collective besides the individual welfare. This let us predict
the apparition of big common markets and strong common currencies. They will
reach the "equilibrium" by decreasing its number until they reach a state
characterized by only one common currency and only one big common community
around the world.
| q-fin.GN physics.soc-ph | the so called globalization process ie the inexorable integration of markets currencies nationstates technologies and the intensification of consciousness of the world as a whole has a behavior exactly equivalent to a system that is tending to a maximum entropy state this globalization process obeys a collective welfare principle in where the maximum payoff is given by the equilibrium of the system and its stability by the maximization of the welfare of the collective besides the individual welfare this let us predict the apparition of big common markets and strong common currencies they will reach the equilibrium by decreasing its number until they reach a state characterized by only one common currency and only one big common community around the world | [['the', 'so', 'called', 'globalization', 'process', 'ie', 'the', 'inexorable', 'integration', 'of', 'markets', 'currencies', 'nationstates', 'technologies', 'and', 'the', 'intensification', 'of', 'consciousness', 'of', 'the', 'world', 'as', 'a', 'whole', 'has', 'a', 'behavior', 'exactly', 'equivalent', 'to', 'a', 'system', 'that', 'is', 'tending', 'to', 'a', 'maximum', 'entropy', 'state', 'this', 'globalization', 'process', 'obeys', 'a', 'collective', 'welfare', 'principle', 'in', 'where', 'the', 'maximum', 'payoff', 'is', 'given', 'by', 'the', 'equilibrium', 'of', 'the', 'system', 'and', 'its', 'stability', 'by', 'the', 'maximization', 'of', 'the', 'welfare', 'of', 'the', 'collective', 'besides', 'the', 'individual', 'welfare', 'this', 'let', 'us', 'predict', 'the', 'apparition', 'of', 'big', 'common', 'markets', 'and', 'strong', 'common', 'currencies', 'they', 'will', 'reach', 'the', 'equilibrium', 'by', 'decreasing', 'its', 'number', 'until', 'they', 'reach', 'a', 'state', 'characterized', 'by', 'only', 'one', 'common', 'currency', 'and', 'only', 'one', 'big', 'common', 'community', 'around', 'the', 'world']] | [-0.12751248859179518, 0.10091443068813533, -0.10034192467768056, 0.07068951505270889, -0.03442443124561881, -0.12997581653762608, 0.12531393033568747, 0.3178323547821492, -0.32061270806007086, -0.24489073686224097, 0.13387771699247727, -0.3060345948673785, -0.11987264027896648, 0.10617599204803506, -0.08599961552827154, -1.8192875237825017e-05, 0.05893767358890424, 0.10918317198520526, 0.030670072184875607, -0.25654926683249263, 0.3038988009871294, 0.07653094294170538, 0.30085273256603007, 0.031429364276118574, 0.12549266503192485, -0.008958229356691542, 0.05795858449030978, 0.04954803787598697, -0.10774484235474423, 0.1372343291945678, 0.27294162223115565, 0.2287001176426808, 0.4063170696220671, -0.38538149868060523, -0.1505312288218799, 0.15938944325510723, 0.10807526085797386, 0.041848152390836425, 0.04004769940705349, -0.25246826179791243, 0.036176874253821246, -0.21684905616566538, -0.1467763167573139, -0.04894378481743236, 0.045265618486640354, 0.020104694054073963, -0.23361647673882543, 0.04216289208270609, 0.053464439982781185, 0.04193748054870715, -0.02880356001163212, -0.07749461475662732, -0.07960412912070751, 0.15866730377310886, 0.08745097526455842, -0.016667094143728415, 0.16585972680865477, -0.15244034096831455, -0.1546388958270351, 0.4039271592628211, -0.03715186084543044, -0.09981412865842382, 0.1558652649730599, -0.15289235991270592, -0.0822555799347659, 0.13355149941829345, 0.148539487006686, 0.06731131099513732, -0.16238934012750786, 0.038319369946839286, -0.0599250589904841, 0.15198709548761447, 0.07036783400302132, 0.0039864841887416935, 0.21372613169563312, 0.17624738378605495, 0.1403211319159406, 0.1105462975295571, 0.00823432559845969, -0.19470832871738822, -0.2521846819901839, -0.19040377261893202, -0.1838371937163174, 0.10114577277369487, -0.10531442046582622, -0.16162146641484773, 0.39494548020496345, 0.11599142586346715, 0.15173677827697246, 0.047265200159745294, 0.2748227096764216, 0.12106436555332038, 0.05722054769285023, 0.08440083781800543, 0.25274671458949644, 0.04735578978434205, 0.17275712870371837, -0.20646334911386172, 0.1790121137300351, -0.00701676777486379] |
710.1308 | Scaling Laws for NanoFET Sensors | The sensitive conductance change of semiconductor nanowires and carbon
nanotubes in response to binding of charged molecules provide a novel sensing
modality which is generally denoted as nanoFET sensors. In this paper, we study
the scaling laws of nanoplate FET sensors by simplifying nanoplates as random
resistor networks with molecular receptors sitting on lattice sites.
Nanowire/tube FETs are included as the limiting cases where the device width
goes small. Computer simulations show that the field effect strength exerted by
the binding molecules has significant impact on the scaling behaviors. When the
field effect strength is small, nanoFETs have little size and shape dependence.
In contrast, when the field-effect strength becomes stronger, there exists a
lower detection threshold for charge accumulation FETs and an upper detection
threshold for charge depletion FET sensors. At these thresholds, the nanoFET
devices undergo a transition between low and large sensitivities. These
thresholds may set the detection limits of nanoFET sensors, while could be
eliminated by designing devices with very short source-drain distance and large
width.
| cond-mat.mtrl-sci cond-mat.stat-mech | the sensitive conductance change of semiconductor nanowires and carbon nanotubes in response to binding of charged molecules provide a novel sensing modality which is generally denoted as nanofet sensors in this paper we study the scaling laws of nanoplate fet sensors by simplifying nanoplates as random resistor networks with molecular receptors sitting on lattice sites nanowiretube fets are included as the limiting cases where the device width goes small computer simulations show that the field effect strength exerted by the binding molecules has significant impact on the scaling behaviors when the field effect strength is small nanofets have little size and shape dependence in contrast when the fieldeffect strength becomes stronger there exists a lower detection threshold for charge accumulation fets and an upper detection threshold for charge depletion fet sensors at these thresholds the nanofet devices undergo a transition between low and large sensitivities these thresholds may set the detection limits of nanofet sensors while could be eliminated by designing devices with very short sourcedrain distance and large width | [['the', 'sensitive', 'conductance', 'change', 'of', 'semiconductor', 'nanowires', 'and', 'carbon', 'nanotubes', 'in', 'response', 'to', 'binding', 'of', 'charged', 'molecules', 'provide', 'a', 'novel', 'sensing', 'modality', 'which', 'is', 'generally', 'denoted', 'as', 'nanofet', 'sensors', 'in', 'this', 'paper', 'we', 'study', 'the', 'scaling', 'laws', 'of', 'nanoplate', 'fet', 'sensors', 'by', 'simplifying', 'nanoplates', 'as', 'random', 'resistor', 'networks', 'with', 'molecular', 'receptors', 'sitting', 'on', 'lattice', 'sites', 'nanowiretube', 'fets', 'are', 'included', 'as', 'the', 'limiting', 'cases', 'where', 'the', 'device', 'width', 'goes', 'small', 'computer', 'simulations', 'show', 'that', 'the', 'field', 'effect', 'strength', 'exerted', 'by', 'the', 'binding', 'molecules', 'has', 'significant', 'impact', 'on', 'the', 'scaling', 'behaviors', 'when', 'the', 'field', 'effect', 'strength', 'is', 'small', 'nanofets', 'have', 'little', 'size', 'and', 'shape', 'dependence', 'in', 'contrast', 'when', 'the', 'fieldeffect', 'strength', 'becomes', 'stronger', 'there', 'exists', 'a', 'lower', 'detection', 'threshold', 'for', 'charge', 'accumulation', 'fets', 'and', 'an', 'upper', 'detection', 'threshold', 'for', 'charge', 'depletion', 'fet', 'sensors', 'at', 'these', 'thresholds', 'the', 'nanofet', 'devices', 'undergo', 'a', 'transition', 'between', 'low', 'and', 'large', 'sensitivities', 'these', 'thresholds', 'may', 'set', 'the', 'detection', 'limits', 'of', 'nanofet', 'sensors', 'while', 'could', 'be', 'eliminated', 'by', 'designing', 'devices', 'with', 'very', 'short', 'sourcedrain', 'distance', 'and', 'large', 'width']] | [-0.1634896989035908, 0.1911215185295337, 0.01489727267818082, -0.011385259076459556, 0.0015553412972838573, -0.21173681025227, 0.08680992476417616, 0.4108335743935424, -0.2090280955723886, -0.32465760383222786, 0.025867303944930125, -0.30064083774673883, -0.15149336290085644, 0.1959188714196595, -0.04340881204310184, 0.016031181215242083, 0.03552972698803171, -0.0015656521522725512, -0.018844355012766927, -0.16837899240410825, 0.23203731411818548, 0.09824185824808887, 0.3419555720230121, 0.1507107998532731, 0.043225259417557116, -0.02463579451709631, 0.09549719204022993, 0.05499492629253057, -0.1444067666711167, 0.041764001973812505, 0.2458399032406132, -0.03515819075983018, 0.24864139943937993, -0.466518957367433, -0.20931096041818992, 0.06825117808295458, 0.14935488116143028, 0.12370986044697929, -0.08880688340841084, -0.2788824799368047, 0.11010418066455584, -0.1470675395324915, -0.07264697824385144, -0.006342405551722983, 0.08340404295484491, 0.055227195986455105, -0.238224872665125, 0.052111577281417944, 0.0061200836623486665, 0.08270586327870703, -0.03749538154754971, -0.1468411102361556, -0.009189668017435386, 0.13255392978282457, 0.03007068124411273, -0.0038746476153998324, 0.301579147239127, -0.1776037856048095, -0.08406410669392374, 0.32413919880941866, -0.058242298350835754, -0.16681597317801788, 0.17760277529790378, -0.14699394486766929, -0.0719757915856982, 0.1568609235747274, 0.15766923418933793, 0.10544690172675819, -0.14164172938884198, 0.06362915401318571, 0.026914282025591957, 0.19320231662797077, 0.09733952591029395, 0.1065448720972719, 0.23568854833831124, 0.22316760005196556, 0.08322199755916483, 0.11703017138019536, -0.14913966498958567, -0.012796943741185325, -0.2304442111968196, -0.11087319195558805, -0.19380938936401867, 0.09805694083236934, -0.09580474974089677, -0.17896483432767646, 0.32199002714228947, 0.14115939224124996, 0.19708655991607452, 0.041190965689436, 0.2935307712475714, 0.13852888277679518, 0.14561185198059926, -0.0070082013567333065, 0.2479012937928062, 0.16006266539278885, 0.09195489637204446, -0.22981159925603561, 0.11972266484961092, -0.019450821649765464] |
710.1309 | Correspondence between Andreev reflection and Klein tunneling in bipolar
graphene | Andreev reflection at a superconductor and Klein tunneling through an n-p
junction in graphene are two processes that couple electrons to holes -- the
former through the superconducting pair potential Delta and the latter through
the electrostatic potential U. We derive that the energy spectra in the two
systems are identical, at low energies E<<Delta and for an antisymmetric
potential profile U(-x,y)=-U(x,y). This correspondence implies that bipolar
junctions in graphene may have zero density of states at the Fermi level and
carry a current in equilibrium, analogously to superconducting Josephson
junctions. It also implies that nonelectronic systems with the same band
structure as graphene, such as honeycomb-lattice photonic crystals, can exhibit
pseudo-superconducting behavior.
| cond-mat.mes-hall | andreev reflection at a superconductor and klein tunneling through an np junction in graphene are two processes that couple electrons to holes the former through the superconducting pair potential delta and the latter through the electrostatic potential u we derive that the energy spectra in the two systems are identical at low energies edelta and for an antisymmetric potential profile uxyuxy this correspondence implies that bipolar junctions in graphene may have zero density of states at the fermi level and carry a current in equilibrium analogously to superconducting josephson junctions it also implies that nonelectronic systems with the same band structure as graphene such as honeycomblattice photonic crystals can exhibit pseudosuperconducting behavior | [['andreev', 'reflection', 'at', 'a', 'superconductor', 'and', 'klein', 'tunneling', 'through', 'an', 'np', 'junction', 'in', 'graphene', 'are', 'two', 'processes', 'that', 'couple', 'electrons', 'to', 'holes', 'the', 'former', 'through', 'the', 'superconducting', 'pair', 'potential', 'delta', 'and', 'the', 'latter', 'through', 'the', 'electrostatic', 'potential', 'u', 'we', 'derive', 'that', 'the', 'energy', 'spectra', 'in', 'the', 'two', 'systems', 'are', 'identical', 'at', 'low', 'energies', 'edelta', 'and', 'for', 'an', 'antisymmetric', 'potential', 'profile', 'uxyuxy', 'this', 'correspondence', 'implies', 'that', 'bipolar', 'junctions', 'in', 'graphene', 'may', 'have', 'zero', 'density', 'of', 'states', 'at', 'the', 'fermi', 'level', 'and', 'carry', 'a', 'current', 'in', 'equilibrium', 'analogously', 'to', 'superconducting', 'josephson', 'junctions', 'it', 'also', 'implies', 'that', 'nonelectronic', 'systems', 'with', 'the', 'same', 'band', 'structure', 'as', 'graphene', 'such', 'as', 'honeycomblattice', 'photonic', 'crystals', 'can', 'exhibit', 'pseudosuperconducting', 'behavior']] | [-0.21138626133853738, 0.1690647162478523, -0.056583292469043624, 0.05411767448531464, 0.007827800313349474, -0.19829806467856873, 0.06830728227611292, 0.39434453072873027, -0.23943311201450837, -0.28439544838937847, -0.052132785007018935, -0.3502095290375027, -0.10924070238305086, 0.19338334300766952, 0.06766254059039056, 0.00018202220594089753, -0.0032161937899548897, -0.03751725929958576, -0.0708042984182777, -0.16151170864997602, 0.3313363216902045, 0.014945535056970336, 0.3042431290875274, 0.10676231330514631, 0.020911835673773152, -0.014908710979348556, 0.17621619743295014, 0.009641308726912195, -0.10195022855848286, 0.008265840960137378, 0.26097920387136664, -0.10934246967715973, 0.17505379086571998, -0.508228217268532, -0.19345146462173116, 0.050935765236235137, 0.18351767114734024, 0.1258025606565008, -0.04720199745656414, -0.2535136574794623, 0.06345426715296608, -0.15340288082476367, -0.12935139169408516, -0.04184076057069681, 0.0033623418855396182, 0.009531186925331976, -0.18876550751579502, 0.08177970202232246, 0.031223094299308616, 0.012516952297565612, -0.04022286224432967, -0.09798832664382644, -0.10595592326823283, 0.03344288776544008, 0.0015926362523301081, 0.009740505220675417, 0.14736390465616503, -0.12989140988158232, -0.11733205101706765, 0.32001022639769044, -0.07075168163176965, -0.1456344415899366, 0.19776899824765595, -0.18150077792392535, -0.06829549378969453, 0.14943847411354497, 0.07534414446404712, 0.040946751901752905, -0.17038180298986844, 0.10315984363101464, -0.028044891709842805, 0.1221861821662804, 0.10333653608845039, 0.09427515024488622, 0.29762797883542425, 0.14070387140170418, 0.08020804407794706, 0.10750634731216864, -0.1187173775693571, -0.017230797258459708, -0.28938059249723497, -0.19453822394663636, -0.19943031810054726, 0.08558390522799031, -0.027678561811229553, -0.21132366040890868, 0.39592851851220157, 0.11200522789837454, 0.18605151975696738, -0.03880451533689418, 0.23360582071277763, 0.16864948460980403, 0.07108086084692992, 0.035052614938467744, 0.24787622696550732, 0.15331204149194738, 0.11322202112271705, -0.27559736496345566, -0.003784002664244988, -0.02512594044674188] |
710.131 | EVLA Observations of OH Masers in ON 1 | This Letter reports on initial Expanded Very Large Array (EVLA) observations
of the 6035 MHz masers in ON 1. The EVLA data are of good quality, lending
confidence in the new receiver system. Nineteen maser features, including six
Zeeman pairs, are detected. The overall distribution of 6035 MHz OH masers is
similar to that of the 1665 MHz OH masers. The spatial resolution is sufficient
to unambiguously determine that the magnetic field is strong (~ -10 mG) at the
location of the blueshifted masers in the north, consistent with Zeeman
splitting detected in 13441 MHz OH masers in the same velocity range. Left and
right circularly polarized ground-state features dominate in different regions
in the north of the source, which may be due to a combination of magnetic field
and velocity gradients. The combined distribution of all OH masers toward the
south is suggestive of a shock structure of the sort previously seen in W3(OH).
| astro-ph | this letter reports on initial expanded very large array evla observations of the 6035 mhz masers in on 1 the evla data are of good quality lending confidence in the new receiver system nineteen maser features including six zeeman pairs are detected the overall distribution of 6035 mhz oh masers is similar to that of the 1665 mhz oh masers the spatial resolution is sufficient to unambiguously determine that the magnetic field is strong 10 mg at the location of the blueshifted masers in the north consistent with zeeman splitting detected in 13441 mhz oh masers in the same velocity range left and right circularly polarized groundstate features dominate in different regions in the north of the source which may be due to a combination of magnetic field and velocity gradients the combined distribution of all oh masers toward the south is suggestive of a shock structure of the sort previously seen in w3oh | [['this', 'letter', 'reports', 'on', 'initial', 'expanded', 'very', 'large', 'array', 'evla', 'observations', 'of', 'the', '6035', 'mhz', 'masers', 'in', 'on', '1', 'the', 'evla', 'data', 'are', 'of', 'good', 'quality', 'lending', 'confidence', 'in', 'the', 'new', 'receiver', 'system', 'nineteen', 'maser', 'features', 'including', 'six', 'zeeman', 'pairs', 'are', 'detected', 'the', 'overall', 'distribution', 'of', '6035', 'mhz', 'oh', 'masers', 'is', 'similar', 'to', 'that', 'of', 'the', '1665', 'mhz', 'oh', 'masers', 'the', 'spatial', 'resolution', 'is', 'sufficient', 'to', 'unambiguously', 'determine', 'that', 'the', 'magnetic', 'field', 'is', 'strong', '10', 'mg', 'at', 'the', 'location', 'of', 'the', 'blueshifted', 'masers', 'in', 'the', 'north', 'consistent', 'with', 'zeeman', 'splitting', 'detected', 'in', '13441', 'mhz', 'oh', 'masers', 'in', 'the', 'same', 'velocity', 'range', 'left', 'and', 'right', 'circularly', 'polarized', 'groundstate', 'features', 'dominate', 'in', 'different', 'regions', 'in', 'the', 'north', 'of', 'the', 'source', 'which', 'may', 'be', 'due', 'to', 'a', 'combination', 'of', 'magnetic', 'field', 'and', 'velocity', 'gradients', 'the', 'combined', 'distribution', 'of', 'all', 'oh', 'masers', 'toward', 'the', 'south', 'is', 'suggestive', 'of', 'a', 'shock', 'structure', 'of', 'the', 'sort', 'previously', 'seen', 'in', 'w3oh']] | [-0.14149122755081006, 0.08158260178087014, 0.024811742512823698, 0.007729047536698787, -0.07305454181857987, -0.09790219827600477, 0.016184008441405832, 0.4694115710626175, -0.1797529988220663, -0.29685503140986935, 0.04775668201399604, -0.2324275836384819, 0.0045193553805448015, 0.15869091596006862, 0.01960579442561834, -0.09298498269175058, 0.043993952916935086, -0.08668609910384546, -0.02565932170451655, -0.17852451012004167, 0.22983832474701205, 0.11951221165537544, 0.24551718806932596, 0.009737424516155347, 0.07876741089147528, -0.2135352579719544, -0.055279470307377544, -0.04470503212303504, -0.07164359767968516, 0.09550953391854736, 0.30814801002913095, 0.09156955544483038, 0.2229719840416491, -0.33238549159186614, -0.16778577635572714, 0.026825787215312192, 0.12203430103186469, 0.1023889046885049, 0.021838894381502327, -0.3717379697338472, 0.04325936055392486, -0.1286305885054413, -0.2033015125704772, 0.07319431458357964, 0.03515641855729091, 0.09853446240198206, -0.22594103734681759, 0.13083853852608568, -0.020176995708909514, 0.15795805193362877, -0.11808558176694946, -0.18180179507577454, -0.06012944764965637, 0.07415936973744205, -0.007582344178279693, 0.13813186993568458, 0.13676259497425508, -0.12155495103079729, -0.06937262315194231, 0.35619679285521777, -0.15169970894250534, -0.041402582315026554, 0.23147333666150058, -0.3026795909443701, -0.23100853021946047, 0.27625961864046605, 0.126731456148547, 0.1059977927656433, -0.12238680112044109, -0.012015264713380776, -0.051052772117228334, 0.2222470971695208, 0.12901794776175315, 0.08609113398358806, 0.29242379973074056, 0.013603977502970774, 0.10674045888053907, 0.14233906908707644, -0.2756913510852723, -0.04035028019714375, -0.264534116473182, -0.09881962134273022, -0.1341104573795463, 0.03412756246415212, -0.07628860280152816, -0.0676880337920814, 0.39816141480205025, 0.10831969054551892, 0.16696782997966586, -0.03940195565689476, 0.26269711255301514, 0.0480626823131884, 0.10755591967155213, 0.09985934908792087, 0.3014786985473006, 0.17639756604708587, 0.14031313116956645, -0.24743318385384105, 0.07729510893416289, -0.04478145301850005] |
710.1311 | The star formation histories of early-type galaxies: insights from the
rest-frame ultra-violet | Our current understanding of the star formation histories of early-type
galaxies is reviewed, in the context of recent observational studies of their
ultra-violet (UV) properties. Combination of UV and optical spectro-photometric
data indicates that the bulk of the stellar mass in the early-type population
forms at high redshift (z > 2), typically over short timescales (< 1 Gyr).
Nevertheless, early-types of all luminosities form stars over the lifetime of
the Universe, with most luminous (-23 < M(V) < -21) systems forming 10-15% of
their stellar mass after z = 1 (with a scatter to higher value), while their
less luminous (M(V) > -21) counterparts form 30-60% of their mass in the same
redshift range. The large scatter in the (rest-frame) UV colours in the
redshift range 0 < z < 0.7 indicates widespread low-level star formation in the
early-type population over the last 8 billion years. The mass fraction of young
(< 1 Gyr old) stars in luminous early-type galaxies varies between 1% and 6% at
z~0 and is in the range 5-13% at z~0.7. The intensity of recent star formation
and the bulk of the UV colour distribution is consistent with what might be
expected from minor mergers (mass ratios < 1:6) in an LCDM cosmology.
| astro-ph | our current understanding of the star formation histories of earlytype galaxies is reviewed in the context of recent observational studies of their ultraviolet uv properties combination of uv and optical spectrophotometric data indicates that the bulk of the stellar mass in the earlytype population forms at high redshift z 2 typically over short timescales 1 gyr nevertheless earlytypes of all luminosities form stars over the lifetime of the universe with most luminous 23 mv 21 systems forming 1015 of their stellar mass after z 1 with a scatter to higher value while their less luminous mv 21 counterparts form 3060 of their mass in the same redshift range the large scatter in the restframe uv colours in the redshift range 0 z 07 indicates widespread lowlevel star formation in the earlytype population over the last 8 billion years the mass fraction of young 1 gyr old stars in luminous earlytype galaxies varies between 1 and 6 at z0 and is in the range 513 at z07 the intensity of recent star formation and the bulk of the uv colour distribution is consistent with what might be expected from minor mergers mass ratios 16 in an lcdm cosmology | [['our', 'current', 'understanding', 'of', 'the', 'star', 'formation', 'histories', 'of', 'earlytype', 'galaxies', 'is', 'reviewed', 'in', 'the', 'context', 'of', 'recent', 'observational', 'studies', 'of', 'their', 'ultraviolet', 'uv', 'properties', 'combination', 'of', 'uv', 'and', 'optical', 'spectrophotometric', 'data', 'indicates', 'that', 'the', 'bulk', 'of', 'the', 'stellar', 'mass', 'in', 'the', 'earlytype', 'population', 'forms', 'at', 'high', 'redshift', 'z', '2', 'typically', 'over', 'short', 'timescales', '1', 'gyr', 'nevertheless', 'earlytypes', 'of', 'all', 'luminosities', 'form', 'stars', 'over', 'the', 'lifetime', 'of', 'the', 'universe', 'with', 'most', 'luminous', '23', 'mv', '21', 'systems', 'forming', '1015', 'of', 'their', 'stellar', 'mass', 'after', 'z', '1', 'with', 'a', 'scatter', 'to', 'higher', 'value', 'while', 'their', 'less', 'luminous', 'mv', '21', 'counterparts', 'form', '3060', 'of', 'their', 'mass', 'in', 'the', 'same', 'redshift', 'range', 'the', 'large', 'scatter', 'in', 'the', 'restframe', 'uv', 'colours', 'in', 'the', 'redshift', 'range', '0', 'z', '07', 'indicates', 'widespread', 'lowlevel', 'star', 'formation', 'in', 'the', 'earlytype', 'population', 'over', 'the', 'last', '8', 'billion', 'years', 'the', 'mass', 'fraction', 'of', 'young', '1', 'gyr', 'old', 'stars', 'in', 'luminous', 'earlytype', 'galaxies', 'varies', 'between', '1', 'and', '6', 'at', 'z0', 'and', 'is', 'in', 'the', 'range', '513', 'at', 'z07', 'the', 'intensity', 'of', 'recent', 'star', 'formation', 'and', 'the', 'bulk', 'of', 'the', 'uv', 'colour', 'distribution', 'is', 'consistent', 'with', 'what', 'might', 'be', 'expected', 'from', 'minor', 'mergers', 'mass', 'ratios', '16', 'in', 'an', 'lcdm', 'cosmology']] | [-0.03860878532895402, 0.15011687240473806, -0.028578183006230495, 0.10012284440264994, -0.04565868029302355, 0.0007971978751082105, 0.03459827972547657, 0.45930109560716575, -0.10212804576521503, -0.3924323426852674, 0.025960070432664892, -0.3044972118672201, 0.03721397471505449, 0.1858821166018333, -0.051345504732887605, -0.03609326186053322, 0.029098528721263433, -0.07220828228719949, -0.08755198590905668, -0.3588906146519756, 0.28787844731392065, 0.03495710846013035, 0.1339394364906073, -0.07293641712838018, 0.02113053830089946, -0.08758333492031331, -0.11172613189768443, -0.07703581505317979, -0.17526515695015424, -0.003872119062692447, 0.24727151374129322, 0.1447170900398402, 0.27467063936135416, -0.3007524101758555, -0.17680259495217182, 0.09530696138824682, 0.21463422429615509, 0.01669098289038154, -0.09479321997972007, -0.19698964977674754, 0.09287046455201424, -0.18538942870324676, -0.16100937562999387, 0.16855184802357676, 0.09126410591959726, 0.0067353714349074525, -0.18297206412239692, 0.23167122782888788, -0.005226301948828292, 0.12069248006239458, -0.10013213082746163, -0.1287670764755363, -0.1232652104977367, 0.05234277174869543, 0.03641296072796857, 0.12115571301827575, 0.19444212763745167, -0.20699640288050783, -0.01987519675421382, 0.41476653745577574, -0.06030045028629377, 0.08113547478835595, 0.25109217261013855, -0.2680816148091013, -0.17487995597169861, 0.14933012696801506, 0.14414248397564375, 0.11212845950571791, -0.16998847804935224, 0.024602513096110924, 0.035361799243648497, 0.2432126494190717, 0.04855628592449094, 0.10967240714675482, 0.3616264225456504, 0.13882016265282626, -0.0018765432198725755, -0.024062157030037702, -0.17366671415641527, -0.022917445916871584, -0.21518013636383043, -0.07923780391134587, -0.092640530554989, 0.15732516390436949, -0.22123276873410155, -0.07750146256684122, 0.3443155482217556, 0.09852175370684876, 0.26979567249173175, 0.12923739150256336, 0.2488814090014563, 0.07719593040342561, 0.15828883643663927, 0.10408919130990915, 0.31662180775133564, 0.18397112422844933, 0.09162194529657021, -0.21973054949076004, 0.00913372933261834, -0.03875844207058098] |
710.1312 | On Braid Excitations in Quantum Gravity | We propose a new notation for the states in some models of quantum gravity,
namely 4-valent spin networks embedded in a topological three manifold. With
the help of this notation, equivalence moves, namely translations and
rotations, can be defined, which relate the projections of diffeomorphic
embeddings of a spin network. Certain types of topological structures, viz
3-strand braids as local excitations of embedded spin networks, are defined and
classified by means of the equivalence moves. This paper formulates a
mathematical approach to the further research of particle-like excitations in
quantum gravity.
| hep-th gr-qc math-ph math.MP | we propose a new notation for the states in some models of quantum gravity namely 4valent spin networks embedded in a topological three manifold with the help of this notation equivalence moves namely translations and rotations can be defined which relate the projections of diffeomorphic embeddings of a spin network certain types of topological structures viz 3strand braids as local excitations of embedded spin networks are defined and classified by means of the equivalence moves this paper formulates a mathematical approach to the further research of particlelike excitations in quantum gravity | [['we', 'propose', 'a', 'new', 'notation', 'for', 'the', 'states', 'in', 'some', 'models', 'of', 'quantum', 'gravity', 'namely', '4valent', 'spin', 'networks', 'embedded', 'in', 'a', 'topological', 'three', 'manifold', 'with', 'the', 'help', 'of', 'this', 'notation', 'equivalence', 'moves', 'namely', 'translations', 'and', 'rotations', 'can', 'be', 'defined', 'which', 'relate', 'the', 'projections', 'of', 'diffeomorphic', 'embeddings', 'of', 'a', 'spin', 'network', 'certain', 'types', 'of', 'topological', 'structures', 'viz', '3strand', 'braids', 'as', 'local', 'excitations', 'of', 'embedded', 'spin', 'networks', 'are', 'defined', 'and', 'classified', 'by', 'means', 'of', 'the', 'equivalence', 'moves', 'this', 'paper', 'formulates', 'a', 'mathematical', 'approach', 'to', 'the', 'further', 'research', 'of', 'particlelike', 'excitations', 'in', 'quantum', 'gravity']] | [-0.19791191929834895, 0.17038343614479015, -0.06405482216031996, 0.0752433286570422, -0.05752684949682309, -0.173411844313595, 0.00503055930552124, 0.3386665591970086, -0.28965955890796996, -0.2871921198790545, 0.05194620882892715, -0.25161866094036905, -0.19283909608538335, 0.1346056462460003, -0.08799518501529327, 0.024248976475344255, -0.0015923961508343672, 0.03567286798791899, -0.13363555996873222, -0.1940285997403847, 0.35981195073339395, -0.06004747978902862, 0.26230174511834814, 0.003242952923116448, 0.10625236726028252, -0.023804544640070462, 0.03274720094990558, 0.07222585290910902, -0.11154898869610586, 0.1711391361429008, 0.25933621213618685, 0.11432366112021955, 0.18710047060337204, -0.43469552961843355, -0.22089949003318426, 0.05989397834003954, 0.16237705222914342, 0.09857265499118552, -0.009260319160543137, -0.3555493949411007, 0.041034119607942114, -0.1826798183700213, -0.10473939983665452, -0.1241625248771775, -0.01418065854890661, -0.01149295746338564, -0.1628581400766232, -0.004074033702836259, 0.13377565452521975, 0.07744514862341541, -0.046952277212147855, -0.0427868708886288, -0.0434123289280131, 0.13665641882651292, 0.013271621459133022, 0.03989889238868932, 0.10851996929313128, -0.1280840797360045, -0.2446693562145171, 0.396263344295241, -0.015993471369966046, -0.28359875306845284, 0.16464094798704917, -0.06360382606674518, -0.19230887101922226, 0.06685703925297155, 0.14572052805617983, 0.1396661972279077, -0.10813090951274057, 0.10053485226535985, -0.05222453208701624, 0.09246303315100433, 0.09119865948661834, 0.06626866837697369, 0.2612037157363535, 0.13362586698853052, 0.05247575753869919, 0.1815439130033745, -0.06223515480511136, -0.0995758862623556, -0.29515129792411904, -0.23387110077745313, -0.15486405454166643, 0.0862363267582483, -0.06977360515316672, -0.2021414946027837, 0.45091907671847187, 0.10100091884813302, 0.1672795314769066, 0.0765188924244165, 0.2186364394530736, 0.049046644228408216, 0.0887822965774071, 0.07031119806221225, 0.15801167923728116, 0.19049412906835123, 0.018745584239425895, -0.15375012735619367, -0.0020619666633697655, 0.13532514380454852] |
710.1313 | Semi--vector spaces and units of measurement | This paper is aimed at introducing an algebraic model for physical scales and
units of measurement. This goal is achieved by means of the concept of
``positive space'' and its rational powers. Positive spaces are 1-dimensional
``semi-vector spaces'' without the zero vector. A direct approach to this
subject might be sufficient. On the other hand, a broader mathematical
understanding requires the notions of sesqui- and semi-tensor products between
semi-vector spaces and vector spaces. So, the paper is devoted to an original
contribution to the algebraic theory of semi-vector spaces, to the algebraic
analysis of positive spaces and, eventually, to the algebraic model of physical
scales and units of measurement in terms of positive spaces.
| math.AC math-ph math.MP | this paper is aimed at introducing an algebraic model for physical scales and units of measurement this goal is achieved by means of the concept of positive space and its rational powers positive spaces are 1dimensional semivector spaces without the zero vector a direct approach to this subject might be sufficient on the other hand a broader mathematical understanding requires the notions of sesqui and semitensor products between semivector spaces and vector spaces so the paper is devoted to an original contribution to the algebraic theory of semivector spaces to the algebraic analysis of positive spaces and eventually to the algebraic model of physical scales and units of measurement in terms of positive spaces | [['this', 'paper', 'is', 'aimed', 'at', 'introducing', 'an', 'algebraic', 'model', 'for', 'physical', 'scales', 'and', 'units', 'of', 'measurement', 'this', 'goal', 'is', 'achieved', 'by', 'means', 'of', 'the', 'concept', 'of', 'positive', 'space', 'and', 'its', 'rational', 'powers', 'positive', 'spaces', 'are', '1dimensional', 'semivector', 'spaces', 'without', 'the', 'zero', 'vector', 'a', 'direct', 'approach', 'to', 'this', 'subject', 'might', 'be', 'sufficient', 'on', 'the', 'other', 'hand', 'a', 'broader', 'mathematical', 'understanding', 'requires', 'the', 'notions', 'of', 'sesqui', 'and', 'semitensor', 'products', 'between', 'semivector', 'spaces', 'and', 'vector', 'spaces', 'so', 'the', 'paper', 'is', 'devoted', 'to', 'an', 'original', 'contribution', 'to', 'the', 'algebraic', 'theory', 'of', 'semivector', 'spaces', 'to', 'the', 'algebraic', 'analysis', 'of', 'positive', 'spaces', 'and', 'eventually', 'to', 'the', 'algebraic', 'model', 'of', 'physical', 'scales', 'and', 'units', 'of', 'measurement', 'in', 'terms', 'of', 'positive', 'spaces']] | [-0.12346200007390008, 0.10837038656911994, -0.07938266119021362, 0.0851153520809536, -0.11471455908520559, -0.0943878467392539, 0.02552310182956105, 0.31573411772044097, -0.33078077090162356, -0.24521898317657642, 0.12134864859064563, -0.24536423740364546, -0.14936415978863968, 0.19902835265049232, -0.09806249747300043, 0.03678132216930307, -0.005669304463328316, 0.0771164728114299, -0.11870242478362021, -0.26530946045495835, 0.44271280659585205, 0.0553702854188736, 0.2284403228163884, 0.06876403049656511, 0.15606962314979955, -0.0019959870115977474, -0.09107995933886057, 0.015626133768561718, -0.12784768575884864, 0.1990700277285568, 0.26804000765612696, 0.11893479741565817, 0.3159711692333881, -0.39237673845002013, -0.16867502377393234, 0.17934567487048628, 0.12553676602995203, 0.03459972708148107, 0.029075763178000275, -0.2870039331553652, 0.09748381508959342, -0.12906865755804872, -0.11179686727134132, -0.10084324478546768, 0.03628212358571787, -0.023850729635430383, -0.27080004670517105, -0.018141587808794154, 0.09786143451846674, 0.11366097484838909, -0.10357603455576386, -0.08756162527025538, 0.00739226924189556, 0.11409411366732247, 0.03505846450880038, 0.04371331169978773, 0.07869681000577665, -0.07309979643977652, -0.1212240319340531, 0.3802780725836622, -0.021970251719343716, -0.27003782831824724, 0.1715644682135301, -0.12233864390744573, -0.11601971949871002, 0.09489807342302746, 0.1495947038870206, 0.11924740471011769, -0.07001447568820642, 0.11968570224532808, -0.03983320857900961, 0.11943328769391287, 0.022299112335869432, 0.07552581345580056, 0.1715789624877208, 0.13996257567191003, 0.0862756082540856, 0.12159904017086363, 0.017882579853098872, -0.08492562853354153, -0.3269028947812266, -0.18372323419960562, -0.1506170338407093, 0.06537220411237527, -0.08734225049569576, -0.15689115701536896, 0.38815379367350084, 0.09040422084436348, 0.18284293225414194, 0.10775625516569852, 0.2923902077682778, 0.07611886599509095, 0.02369273488720945, -0.007321433658686887, 0.179724866433679, 0.19928989361815022, 0.10376498082125213, -0.13588639138991723, 0.04825662210402367, 0.12679431114790846] |
710.1314 | An exact solution to the temperature equation in a column of ice and
bedrock | We construct a solution of a pure conduction problem in ice and bedrock. This
solution is suitable for, and is used in this paper for, verifying a numerical
scheme for conservation of energy. This exact solution forms one of a suite of
verification tests for PISM (Parallel Ice Sheet Model;
https://gna.org/projects/pism/).
| physics.geo-ph | we construct a solution of a pure conduction problem in ice and bedrock this solution is suitable for and is used in this paper for verifying a numerical scheme for conservation of energy this exact solution forms one of a suite of verification tests for pism parallel ice sheet model httpsgnaorgprojectspism | [['we', 'construct', 'a', 'solution', 'of', 'a', 'pure', 'conduction', 'problem', 'in', 'ice', 'and', 'bedrock', 'this', 'solution', 'is', 'suitable', 'for', 'and', 'is', 'used', 'in', 'this', 'paper', 'for', 'verifying', 'a', 'numerical', 'scheme', 'for', 'conservation', 'of', 'energy', 'this', 'exact', 'solution', 'forms', 'one', 'of', 'a', 'suite', 'of', 'verification', 'tests', 'for', 'pism', 'parallel', 'ice', 'sheet', 'model', 'httpsgnaorgprojectspism']] | [-0.12502236265689134, -0.0011070916242897511, -0.0915586810465902, 0.04354960885597393, -0.01898979187011719, -0.1356730154529214, 0.05373190726386383, 0.30010378286242484, -0.24971476763486863, -0.2925891001150012, 0.15863277446944266, -0.23539516983553768, -0.12350731074810029, 0.20170172743033618, 0.0022790419682860376, 0.10531086152419449, 0.09592874174937606, -0.06493523985147476, -0.03321387507021427, -0.19041003081947566, 0.2886419130675495, 0.04143747940659523, 0.2785231278836727, 0.07239769134670496, 0.15773988066241146, -0.05088064495939761, 0.019311665389686823, 0.030942469080910088, -0.1625141089342651, 0.1200296610337682, 0.2631787969172001, 0.12101733062416314, 0.26027330493554474, -0.4392778780311346, -0.1791449941135943, 0.05750800928333774, 0.09492476510349661, 0.169682556707412, -0.10705847427248955, -0.16377430193126202, 0.10206760823726654, -0.1895861258916557, -0.16360041700303554, -0.06029361973516643, 0.01422614872455597, -0.0330490526300855, -0.32939192198682576, 0.07431580410338938, 0.06216812495142222, 0.049005779307335615, -0.15019022688269615, -0.057968904692679644, 0.02474960923194885, 0.04722936592996121, 0.020371962215285748, 0.0006407020566985011, 0.05991962526924908, -0.13003064331132919, -0.0851842138171196, 0.42635731725022197, -0.07960586806409992, -0.2577116310596466, 0.17509465573355557, -0.03886651672422886, -0.14004434188827872, 0.11130005478858948, 0.15179120707325638, 0.17713951904326677, -0.150458441991359, 0.10120116697391496, -0.08621307525783778, 0.1438408269546926, 0.052344828024506566, -0.06777627246454358, 0.23040787814185024, 0.23932367943227292, 0.10242498662322759, 0.16588728639995678, -0.048698006523773076, -0.10052069115452468, -0.30750931963324546, -0.31062820107443256, -0.17304039559792728, 0.04078582772053778, -0.04769247185613494, -0.21450849562883378, 0.4104254849420249, 0.1450322913378477, 0.09819606306031346, 0.057308953795582054, 0.30785142302513124, 0.11872193252667784, 0.00016436067409813403, 0.0875870075263083, 0.19919908756390214, 0.10647946814540774, 0.11670643176883459, -0.17714540226384998, 0.050186530128121375, 0.08422873254865408] |
710.1315 | Renormalization group flow of quartic perturbations in graphene: Strong
coupling and large-N limits | We explore the renormalization group flow of quartic perturbations in the
low-energy theory of graphene, in the strong Coulomb coupling and large-N
limits, where N is the number of fermion flavors. We compute the anomalous
dimensions of the quartic couplings u up to next-to-leading order in 1/N and
find both relevant and irrelevant directions in the space of quartic couplings.
We discuss possible phase diagrams and relevance for the physics of graphene.
| cond-mat.str-el hep-th | we explore the renormalization group flow of quartic perturbations in the lowenergy theory of graphene in the strong coulomb coupling and largen limits where n is the number of fermion flavors we compute the anomalous dimensions of the quartic couplings u up to nexttoleading order in 1n and find both relevant and irrelevant directions in the space of quartic couplings we discuss possible phase diagrams and relevance for the physics of graphene | [['we', 'explore', 'the', 'renormalization', 'group', 'flow', 'of', 'quartic', 'perturbations', 'in', 'the', 'lowenergy', 'theory', 'of', 'graphene', 'in', 'the', 'strong', 'coulomb', 'coupling', 'and', 'largen', 'limits', 'where', 'n', 'is', 'the', 'number', 'of', 'fermion', 'flavors', 'we', 'compute', 'the', 'anomalous', 'dimensions', 'of', 'the', 'quartic', 'couplings', 'u', 'up', 'to', 'nexttoleading', 'order', 'in', '1n', 'and', 'find', 'both', 'relevant', 'and', 'irrelevant', 'directions', 'in', 'the', 'space', 'of', 'quartic', 'couplings', 'we', 'discuss', 'possible', 'phase', 'diagrams', 'and', 'relevance', 'for', 'the', 'physics', 'of', 'graphene']] | [-0.20583319722855878, 0.21890835233757067, -0.007857533740914531, 0.07262174051235586, -0.028176747954502288, -0.11908541004069978, 0.065833536136779, 0.30232576301528347, -0.22178053012531665, -0.2663748438418325, -0.009444167333034178, -0.3482209199056443, -0.16359451271839337, 0.10507696075364947, 0.08063547367540498, 0.051011856102074184, -0.047984291909314275, 0.05419163742206163, -0.0949766829863721, -0.30435794603868593, 0.3241000505901563, -0.03544769040308893, 0.21235055031461847, 0.1522845987023579, 0.048432527840810105, 0.020291855248312157, -0.005849750156307386, -0.029713127005783865, -0.15275673315368798, 0.08100740112260812, 0.21492201885424342, -0.0832835344157906, 0.1509960612295092, -0.4050289934966713, -0.1671314429776329, 0.0965355727627563, 0.15226820558826956, 0.14056210061729266, -0.002500958637230926, -0.2641073894273076, 0.02624226787722566, -0.174557469254877, -0.18068193239418584, -0.15256967155599138, 0.014862763902379407, -0.05371110255105628, -0.28570146076122505, 0.06525486515925473, -0.012448260746572891, 0.024727251471227243, 0.021114043684469327, -0.10910282008505116, -0.04866838011528469, 0.11402504132517303, 0.14238164186826907, 0.010177654873890182, 0.07824932179129165, -0.2538546985791375, -0.11537374069060509, 0.45042466310163337, -0.11680216449086503, -0.1519969811456071, 0.16585455865909657, -0.2078402849793848, -0.13812706156426835, 0.09122723121739303, 0.1896903696987364, 0.1081312036387519, -0.1241917707827977, 0.27964481607583974, 0.02327380932789917, 0.10428698688176358, 0.058667162174565926, 0.05001950888900966, 0.1822298667134924, 0.13564588566724625, 0.036347097840108394, 0.10733273664825699, -0.05854748152907834, -0.09476200254883022, -0.3916638448006577, -0.13052845854933062, -0.13537690322846174, 0.04647403005381218, -0.20078654820665381, -0.16484814037620607, 0.41909011992013095, 0.21578632494331235, 0.1973687174334676, 0.0020015055132615897, 0.19991509906443147, 0.115301489616589, 0.06845442958486576, 0.02598071243846789, 0.29423045238945633, 0.16541638676749748, 0.03524267285441359, -0.3033356560303623, -0.09535998094684651, 0.13703230000747782] |
710.1316 | Elliptic nets and elliptic curves | An elliptic divisibility sequence is an integer recurrence sequence
associated to an elliptic curve over the rationals together with a rational
point on that curve. In this paper we present a higher-dimensional analogue
over arbitrary base fields. Suppose E is an elliptic curve over a field K, and
P_1, ..., P_n are points on E defined over K. To this information we associate
an n-dimensional array of values in K satisfying a nonlinear recurrence
relation. Arrays satisfying this relation are called elliptic nets. We
demonstrate an explicit bijection between the set of elliptic nets and the set
of elliptic curves with specified points. We also obtain
Laurentness/integrality results for elliptic nets.
| math.NT | an elliptic divisibility sequence is an integer recurrence sequence associated to an elliptic curve over the rationals together with a rational point on that curve in this paper we present a higherdimensional analogue over arbitrary base fields suppose e is an elliptic curve over a field k and p_1 p_n are points on e defined over k to this information we associate an ndimensional array of values in k satisfying a nonlinear recurrence relation arrays satisfying this relation are called elliptic nets we demonstrate an explicit bijection between the set of elliptic nets and the set of elliptic curves with specified points we also obtain laurentnessintegrality results for elliptic nets | [['an', 'elliptic', 'divisibility', 'sequence', 'is', 'an', 'integer', 'recurrence', 'sequence', 'associated', 'to', 'an', 'elliptic', 'curve', 'over', 'the', 'rationals', 'together', 'with', 'a', 'rational', 'point', 'on', 'that', 'curve', 'in', 'this', 'paper', 'we', 'present', 'a', 'higherdimensional', 'analogue', 'over', 'arbitrary', 'base', 'fields', 'suppose', 'e', 'is', 'an', 'elliptic', 'curve', 'over', 'a', 'field', 'k', 'and', 'p_1', 'p_n', 'are', 'points', 'on', 'e', 'defined', 'over', 'k', 'to', 'this', 'information', 'we', 'associate', 'an', 'ndimensional', 'array', 'of', 'values', 'in', 'k', 'satisfying', 'a', 'nonlinear', 'recurrence', 'relation', 'arrays', 'satisfying', 'this', 'relation', 'are', 'called', 'elliptic', 'nets', 'we', 'demonstrate', 'an', 'explicit', 'bijection', 'between', 'the', 'set', 'of', 'elliptic', 'nets', 'and', 'the', 'set', 'of', 'elliptic', 'curves', 'with', 'specified', 'points', 'we', 'also', 'obtain', 'laurentnessintegrality', 'results', 'for', 'elliptic', 'nets']] | [-0.251263373315659, 0.06113901388603946, -0.12430334411595666, 0.019990905005390833, -0.09205874006067394, -0.12327805064071756, -0.003837738407203295, 0.374457090238639, -0.34494846377419225, -0.22372871220064855, 0.05471204456001725, -0.346179326111878, -0.1269712819068462, 0.28034951872781877, -0.14544487156725805, 0.05006459097171292, 0.045989257146800876, 0.11062951068769833, -0.09283948211435127, -0.27965407047865043, 0.3611033220835235, -0.10202379333316733, 0.16006582363619717, -0.011252730196222253, 0.14095027013169176, 0.04893542116149029, 0.02339692851272198, -0.013822754486164915, -0.17405047931810125, 0.13724062302995713, 0.3081405711864386, 0.06025758671890431, 0.1791227447860148, -0.35206217103458326, -0.15466564437887126, 0.24628548127590516, 0.12959959406679103, -0.01433051341008224, -0.013962009665342646, -0.1958946599411445, 0.11502966292548515, -0.10965758242533294, -0.1605718202307957, -0.04937234892800382, 0.07065108627905436, 0.08042973215871174, -0.336048507687012, -0.056292175992718824, 0.1263944135878423, 0.2202705910446447, -0.045265722396108536, -0.10744373014994038, -0.008838187693831843, 0.01005803400633532, -0.027745950010118134, 0.09219745056032963, -0.034516765308831264, -0.07007749194339123, -0.1365655604749918, 0.29974642836856186, -0.0613213260679446, -0.21054737945728072, 0.05984136967176418, -0.10479374013738621, -0.09303333727352389, 0.15292205348709137, 0.19809803678953183, 0.14988931088170054, -0.0830059753441991, 0.1227550056085862, -0.1491432347919134, 0.16524320513510932, 0.104699740758798, -0.05520944408816072, 0.21221248057047162, 0.062073453380769, 0.08735139629538727, 0.14442719786466365, -0.0012060403060210748, -0.07702284106138854, -0.3962296803883456, -0.1789082050272221, -0.11872083431434467, 0.14645031447428355, -0.13137817368260585, -0.18410117760163927, 0.3563135693430764, 0.06514254699401352, 0.2702361806124927, 0.13747419473296457, 0.18616192063333792, 0.1670342417363902, 0.007626872543894917, 0.08117637603859836, 0.06339124284274535, 0.17167098286194266, 0.027205025687506167, -0.16731351540945127, -0.031242898387680632, 0.17249508270429909] |
710.1317 | Monitoring noise-resonant effects in cancer growth influenced by
external fluctuations and periodic treatment | In the paper we investigate a mathematical model describing the growth of
tumor in the presence of immune response of a host organism. The dynamics of
tumor and immune cells is based on the generic Michaelis-Menten kinetics
depicting interaction and competition between the tumor and the immune system.
The appropriate phenomenological equation modeling cell-mediated immune
surveillance against cancer is of the predator-prey form and exhibits
bistability within a given choice of the immune response-related parameters.
Under the influence of weak external fluctuations, the model may be analyzed in
terms of a stochastic differential equation bearing the form of an overdamped
Langevin-like dynamics in the external quasi-potential represented by a double
well. We analyze properties of the system within the range of parameters for
which the potential wells are of the same depth and when the additional
perturbation, modeling a periodic treatment, is insufficient to overcome the
barrier height and to cause cancer extinction. In this case the presence of a
small amount of noise can positively enhance the treatment, driving the system
to a state of tumor extinction. On the other hand, however, the same noise can
give rise to return effects up to a stochastic resonance behavior. This
observation provides a quantitative analysis of mechanisms responsible for
optimization of periodic tumor therapy in the presence of spontaneous external
noise. Studying the behavior of the extinction time as a function of the
treatment frequency, we have also found the typical resonant activation effect:
For a certain frequency of the treatment, there exists a minimum extinction
time.
| physics.bio-ph physics.med-ph | in the paper we investigate a mathematical model describing the growth of tumor in the presence of immune response of a host organism the dynamics of tumor and immune cells is based on the generic michaelismenten kinetics depicting interaction and competition between the tumor and the immune system the appropriate phenomenological equation modeling cellmediated immune surveillance against cancer is of the predatorprey form and exhibits bistability within a given choice of the immune responserelated parameters under the influence of weak external fluctuations the model may be analyzed in terms of a stochastic differential equation bearing the form of an overdamped langevinlike dynamics in the external quasipotential represented by a double well we analyze properties of the system within the range of parameters for which the potential wells are of the same depth and when the additional perturbation modeling a periodic treatment is insufficient to overcome the barrier height and to cause cancer extinction in this case the presence of a small amount of noise can positively enhance the treatment driving the system to a state of tumor extinction on the other hand however the same noise can give rise to return effects up to a stochastic resonance behavior this observation provides a quantitative analysis of mechanisms responsible for optimization of periodic tumor therapy in the presence of spontaneous external noise studying the behavior of the extinction time as a function of the treatment frequency we have also found the typical resonant activation effect for a certain frequency of the treatment there exists a minimum extinction time | [['in', 'the', 'paper', 'we', 'investigate', 'a', 'mathematical', 'model', 'describing', 'the', 'growth', 'of', 'tumor', 'in', 'the', 'presence', 'of', 'immune', 'response', 'of', 'a', 'host', 'organism', 'the', 'dynamics', 'of', 'tumor', 'and', 'immune', 'cells', 'is', 'based', 'on', 'the', 'generic', 'michaelismenten', 'kinetics', 'depicting', 'interaction', 'and', 'competition', 'between', 'the', 'tumor', 'and', 'the', 'immune', 'system', 'the', 'appropriate', 'phenomenological', 'equation', 'modeling', 'cellmediated', 'immune', 'surveillance', 'against', 'cancer', 'is', 'of', 'the', 'predatorprey', 'form', 'and', 'exhibits', 'bistability', 'within', 'a', 'given', 'choice', 'of', 'the', 'immune', 'responserelated', 'parameters', 'under', 'the', 'influence', 'of', 'weak', 'external', 'fluctuations', 'the', 'model', 'may', 'be', 'analyzed', 'in', 'terms', 'of', 'a', 'stochastic', 'differential', 'equation', 'bearing', 'the', 'form', 'of', 'an', 'overdamped', 'langevinlike', 'dynamics', 'in', 'the', 'external', 'quasipotential', 'represented', 'by', 'a', 'double', 'well', 'we', 'analyze', 'properties', 'of', 'the', 'system', 'within', 'the', 'range', 'of', 'parameters', 'for', 'which', 'the', 'potential', 'wells', 'are', 'of', 'the', 'same', 'depth', 'and', 'when', 'the', 'additional', 'perturbation', 'modeling', 'a', 'periodic', 'treatment', 'is', 'insufficient', 'to', 'overcome', 'the', 'barrier', 'height', 'and', 'to', 'cause', 'cancer', 'extinction', 'in', 'this', 'case', 'the', 'presence', 'of', 'a', 'small', 'amount', 'of', 'noise', 'can', 'positively', 'enhance', 'the', 'treatment', 'driving', 'the', 'system', 'to', 'a', 'state', 'of', 'tumor', 'extinction', 'on', 'the', 'other', 'hand', 'however', 'the', 'same', 'noise', 'can', 'give', 'rise', 'to', 'return', 'effects', 'up', 'to', 'a', 'stochastic', 'resonance', 'behavior', 'this', 'observation', 'provides', 'a', 'quantitative', 'analysis', 'of', 'mechanisms', 'responsible', 'for', 'optimization', 'of', 'periodic', 'tumor', 'therapy', 'in', 'the', 'presence', 'of', 'spontaneous', 'external', 'noise', 'studying', 'the', 'behavior', 'of', 'the', 'extinction', 'time', 'as', 'a', 'function', 'of', 'the', 'treatment', 'frequency', 'we', 'have', 'also', 'found', 'the', 'typical', 'resonant', 'activation', 'effect', 'for', 'a', 'certain', 'frequency', 'of', 'the', 'treatment', 'there', 'exists', 'a', 'minimum', 'extinction', 'time']] | [-0.12927005580608167, 0.11262951179586725, -0.06371930861370821, 0.06908516701100868, -0.014035404882594651, -0.13563610883794872, 0.05459451495770219, 0.3015860997879987, -0.25649975121532587, -0.26478888513885585, 0.07474709975752322, -0.25875665284145405, -0.2035482067213047, 0.17423590811416872, -0.07548648631748031, 0.022002601912062544, 0.0265358804359886, 0.03044842603506849, 0.03037985091362441, -0.1969342638062788, 0.2943983683111511, 0.0498086005851042, 0.2805484290125177, 0.045705141382538436, 0.1133509563117781, 0.010785919554787231, 0.0023038288103599176, 0.015659886945550348, -0.12043013996718561, 0.08142120949832686, 0.21363471125220587, 0.0899979230596264, 0.30997029835833056, -0.4380771469142215, -0.25878979997782436, 0.11737889226014707, 0.1320849906137286, 0.1530310895727655, -0.0508119501438284, -0.2598123888444046, 0.024622959705690544, -0.13874893740878677, -0.16527366565686522, -0.024599061022494352, 0.037155891716589826, 0.05847233194451523, -0.2962601074903254, 0.11772349956981819, 0.05774564572801704, 0.08232080690943928, -0.14108615259402524, -0.05631352383871654, -0.03378080946356789, 0.16036485522385122, 0.055175803719070174, -0.004473906592922468, 0.18149893852133378, -0.18402658528032, -0.07632095441039578, 0.36613898366990993, -0.07711357776915619, -0.2110837832677598, 0.1872926021076958, -0.13940379220407967, -0.05771930658386326, 0.1515029902770823, 0.18881637783830657, 0.07388002411736284, -0.2037235484990935, 0.039168591288320134, 0.03569574056435194, 0.1768894213196986, 0.05105910639132501, 0.025758105941920306, 0.17961119992804586, 0.23147153296672246, 0.02895794303119913, 0.15284016864241887, -0.10713551797922335, -0.11674403306279404, -0.28920356992851287, -0.11337821877073022, -0.10571532901559098, 0.07048138282763973, -0.08974117400893923, -0.2206066864793755, 0.42579744148488136, 0.1472816240549197, 0.18087636444388944, 0.018557073229321226, 0.26722220319514983, 0.1420945321990396, 0.05686025072035252, -0.025928697063971093, 0.22335959024471688, 0.11003839039408109, 0.07477343423912923, -0.32844343540560017, 0.1610897115431726, 0.011479149236544674] |
710.1318 | New Model Atmospheres: Testing the Solar Spectrum in the UV | We present preliminary results on the calculation of synthetic spectra
obtained with the stellar model atmospheres developed by Cardona, Crivellari,
and Simonneau. These new models have been used as input within the SYNTHE
series of codes developed by Kurucz. As a first step we have tested if SYNTHE
is able to handle these models which go down to log tau(Ross)= -13. We have
successfully calculated a synthetic solar spectrum in the wavelength region
2000--4500 A at high resolution (R=522,000). Within this initial test we have
found that layers at optical depths with log tau(Ross) < -7 significantly
affect the mid-UV properties of a synthetic spectrum computed from a solar
model. We anticipate that these new extended models will be a valuable tool for
the analysis of UV stellar light arising from the outermost layers of the
atmospheres.
| astro-ph | we present preliminary results on the calculation of synthetic spectra obtained with the stellar model atmospheres developed by cardona crivellari and simonneau these new models have been used as input within the synthe series of codes developed by kurucz as a first step we have tested if synthe is able to handle these models which go down to log tauross 13 we have successfully calculated a synthetic solar spectrum in the wavelength region 20004500 a at high resolution r522000 within this initial test we have found that layers at optical depths with log tauross 7 significantly affect the miduv properties of a synthetic spectrum computed from a solar model we anticipate that these new extended models will be a valuable tool for the analysis of uv stellar light arising from the outermost layers of the atmospheres | [['we', 'present', 'preliminary', 'results', 'on', 'the', 'calculation', 'of', 'synthetic', 'spectra', 'obtained', 'with', 'the', 'stellar', 'model', 'atmospheres', 'developed', 'by', 'cardona', 'crivellari', 'and', 'simonneau', 'these', 'new', 'models', 'have', 'been', 'used', 'as', 'input', 'within', 'the', 'synthe', 'series', 'of', 'codes', 'developed', 'by', 'kurucz', 'as', 'a', 'first', 'step', 'we', 'have', 'tested', 'if', 'synthe', 'is', 'able', 'to', 'handle', 'these', 'models', 'which', 'go', 'down', 'to', 'log', 'tauross', '13', 'we', 'have', 'successfully', 'calculated', 'a', 'synthetic', 'solar', 'spectrum', 'in', 'the', 'wavelength', 'region', '20004500', 'a', 'at', 'high', 'resolution', 'r522000', 'within', 'this', 'initial', 'test', 'we', 'have', 'found', 'that', 'layers', 'at', 'optical', 'depths', 'with', 'log', 'tauross', '7', 'significantly', 'affect', 'the', 'miduv', 'properties', 'of', 'a', 'synthetic', 'spectrum', 'computed', 'from', 'a', 'solar', 'model', 'we', 'anticipate', 'that', 'these', 'new', 'extended', 'models', 'will', 'be', 'a', 'valuable', 'tool', 'for', 'the', 'analysis', 'of', 'uv', 'stellar', 'light', 'arising', 'from', 'the', 'outermost', 'layers', 'of', 'the', 'atmospheres']] | [0.02664252700499044, 0.08748223576694727, -0.09128935181607421, 0.08036911372596828, 0.0016370878053399232, -0.12353098866744683, 0.03540980204975663, 0.4128096163559418, -0.2143990317073006, -0.38451177218499094, 0.09845848987864043, -0.24957789006786277, -0.10740467149298638, 0.2342998087621079, -0.024577653048282418, 0.052981168117660744, 0.09848900756422574, -0.05168234387126106, -0.037349679808203994, -0.24034508535495172, 0.27993760554549785, 0.08386414508836773, 0.19477605107240378, 0.016643598238722634, 0.048113776736248, -0.07518240808007809, -0.04988301864180427, 0.025094323687685223, -0.1525022533871099, 0.11543537420578874, 0.21532312325364797, 0.1216149112299228, 0.19568075878537805, -0.4354239670344843, -0.28223486985438145, 0.04333637684512024, 0.15436216400076563, 0.09455681780191998, -0.059018168430954504, -0.22642052309014477, 0.1146004220251388, -0.1705640455063146, -0.1303211771345769, -0.05521968111682397, -0.01864560522998755, 0.019575334433466197, -0.2616864744645472, 0.0031399365263776137, -0.008463829659068814, 0.09969876763554146, -0.08865494321172054, -0.1513258174348336, -0.07518123911980253, 0.15414632792727878, -0.02375104318265445, 0.0005252496715491781, 0.08954534624488308, -0.07970995884791661, -0.0686719275222948, 0.3786338440644053, -0.14968513327095515, -0.1052694411876683, 0.2014014844281169, -0.13293780560175386, -0.15914258427488115, 0.12986145089380444, 0.21293058212165936, 0.14379442371069812, -0.14147412482864008, 0.058647451989907916, -0.05647358085530309, 0.2072390121049606, 0.031220555466671403, 0.0034213366863416294, 0.25316522422676474, 0.15354565548209043, -0.047538878274365114, 0.11615057098410594, -0.1945218051246439, -0.0188531948835589, -0.2451880689128302, -0.08959757601752734, -0.12549017962928002, 0.035078229419349766, -0.08189706877220977, -0.13187654992708794, 0.4201859303463537, 0.20472932897794704, 0.22574462788269067, 0.05716208873334556, 0.3029394111990069, 0.11336248672316568, 0.12582577675437698, 0.08584402630893657, 0.281485282160485, 0.11625527961967656, 0.1268814843112173, -0.18210204930689472, 0.032308472821918816, 0.03807784035945168] |
710.1319 | The non-existence of certain mod 2 Galois representations of some small
quadratic fields | For a few quadratic fields, the non-existence is proved of continuous
irreducible mod 2 Galois representations of degree 2 unramified outside 2.
| math.NT | for a few quadratic fields the nonexistence is proved of continuous irreducible mod 2 galois representations of degree 2 unramified outside 2 | [['for', 'a', 'few', 'quadratic', 'fields', 'the', 'nonexistence', 'is', 'proved', 'of', 'continuous', 'irreducible', 'mod', '2', 'galois', 'representations', 'of', 'degree', '2', 'unramified', 'outside', '2']] | [-0.2870166904546998, 0.09796970811757175, -0.07936371395110407, 0.04289149855454029, -0.08597919522699984, -0.16954269613647324, -0.10033534551885995, 0.25384727808308194, -0.36218911028382456, -0.23094968684017658, 0.09684148521839896, -0.24082703329622746, -0.10341817372351546, 0.1991558976217427, -0.10637275159189646, 0.01343634415587241, -0.05267272178422321, 0.2370050779797814, -0.08569421839307655, -0.37689144435254013, 0.34627846509895543, -0.15091531148011034, 0.0843102229251103, 0.045277515849606556, 0.15670377295464277, 0.07686393413777379, 0.0332670956003395, -0.14857207162475045, -0.03771015588956123, 0.10379604203626513, 0.456903759051453, 0.048596718327396295, 0.2957016278629784, -0.33901271113956516, -0.1378692468120293, 0.3422198585573245, 0.14912985857914796, -0.02583506872708147, 0.018101148307323456, -0.26153631427917967, 0.18936452026669445, -0.1516802267929465, -0.21097746965560046, -0.0806980576704849, 0.15324851021763275, 0.014999467456205324, -0.2873827704990452, 0.040147739377888764, 0.16667130803795194, 0.35764196286485955, -0.13833101017569954, -0.1964695697480982, -0.03708255597898229, 0.022508727238428863, -0.026296289013275367, 0.10648618848063052, 0.09015953678383747, -0.1866593434560028, -0.10277479649944739, 0.2941129489547827, -0.01865676599978046, -0.155741623475809, 0.13646911253983324, -0.18909366147338666, -0.1504892571405931, 0.23117793690074573, 0.10125796259804205, 0.15678416971455922, 0.05804206930439581, 0.24686200959099966, -0.12966631674631077, 0.1677371009903833, 0.14575148179111155, -0.10460555866699327, 0.10070920877412638, 0.008503120053898205, 0.10814150333912535, 0.09059058356268163, 0.005616161548955874, 0.06655328526076945, -0.4138968139886856, -0.15663639299402182, -0.14388256057546558, 0.14709507853364234, -0.13102556276135147, -0.06864755444059317, 0.4863523556427522, 0.039984322153031826, 0.11361797043884342, 0.2303845799020068, 0.1354717706139623, 0.0059027229012413454, 0.05073442424393513, 0.10594941025853834, 0.14329136349260807, 0.24593148087363012, -0.11813014982776208, -0.031751259166578, -0.1133925414813513, 0.16165608514777638] |
710.132 | Measurements in the L\'{e}vy quantum walk | We study the quantum walk subjected to measurements with a L\'evy
waiting-time distribution. We find that the system has a sub-ballistic behavior
instead of a diffusive one. We obtain an analytical expression for the exponent
of the power law of the variance as a function of the characteristic parameter
of the L\'evy distribution.
| quant-ph | we study the quantum walk subjected to measurements with a levy waitingtime distribution we find that the system has a subballistic behavior instead of a diffusive one we obtain an analytical expression for the exponent of the power law of the variance as a function of the characteristic parameter of the levy distribution | [['we', 'study', 'the', 'quantum', 'walk', 'subjected', 'to', 'measurements', 'with', 'a', 'levy', 'waitingtime', 'distribution', 'we', 'find', 'that', 'the', 'system', 'has', 'a', 'subballistic', 'behavior', 'instead', 'of', 'a', 'diffusive', 'one', 'we', 'obtain', 'an', 'analytical', 'expression', 'for', 'the', 'exponent', 'of', 'the', 'power', 'law', 'of', 'the', 'variance', 'as', 'a', 'function', 'of', 'the', 'characteristic', 'parameter', 'of', 'the', 'levy', 'distribution']] | [-0.14502946368225342, 0.1363481210376123, -0.19632620325768893, 0.04425691581278477, -0.013051364453342516, -0.1443397009147788, 0.0582370010033285, 0.3199756978395975, -0.26038663215794655, -0.21801934180394658, 0.06016256687459799, -0.2946339617922621, -0.16748531377118714, 0.21659063983638333, -0.013091646626872837, 0.08932519205055146, -0.051253099785239065, 0.05699804382627162, -0.00624378555770612, -0.15443143766935705, 0.298089787926314, 0.060972961094142554, 0.2739337327415651, -0.016995974394650955, 0.14393690467443107, -0.005774437999001371, 0.0161125242780402, 0.003360269661500769, -0.20927408158865357, 0.0402504311751504, 0.12026141387111736, 0.02894974086995957, 0.28732833111623546, -0.3514332116212485, -0.22337159753408073, 0.15822936792172632, 0.14281526250096988, 0.0851177859981105, -0.043551452185536896, -0.2319975894225656, 0.050086925263112446, -0.2108164860181651, -0.21325488500999953, -0.014760636654243155, 0.06731926077396942, 0.0717581021950914, -0.3224614834026346, 0.13530033862850857, 0.09590403856885321, 0.05178067132057446, -0.058010527688377306, -0.06661298144213364, 0.056400151404921176, 0.15558827076247841, 0.06838957376707837, -0.04569562675238077, 0.15796364684817646, -0.1575512586969812, -0.11579180832179088, 0.3214908106217407, -0.12034739008533575, -0.23184691615543276, 0.10080790233288733, -0.2320907307120989, -0.09573627245735447, 0.09991051766248245, 0.15673008963535978, 0.10010505535594245, -0.16666867366095758, 0.09140702322968897, -0.03880148275562052, 0.15417531153784608, -0.012590547144975303, 0.007118022816150256, 0.13946993924009632, 0.14775419055993827, 0.10971725266426802, 0.21393811808161015, -0.13280823077338766, -0.1481075797335438, -0.32948403459323466, -0.19205927613349455, -0.24872983883152594, 0.1624341739236184, -0.16580430624725404, -0.2289336292108275, 0.4353660945341272, 0.12795536098826044, 0.2503200666495722, 0.16824188608816773, 0.23902865472021248, 0.2602034284566301, -0.0334498851806066, 0.05099081720735105, 0.146171213742697, 0.12217399311462804, 0.10616139793452227, -0.23525910634758337, 0.1312046261451576, 0.026912427832425204] |
710.1321 | Unification with and without Supersymmetry: Adjoint SU(5) | I present two new renormalizable grand unified theories where the neutrino
masses are generated through the type I and type III seesaw mechanisms. These
theories can be considered as the simplest (SUSY) renormalizable grand unified
theories based on the SU(5) gauge symmetry. Several phenomenological and
cosmological aspects of these proposals are discussed.
| hep-ph | i present two new renormalizable grand unified theories where the neutrino masses are generated through the type i and type iii seesaw mechanisms these theories can be considered as the simplest susy renormalizable grand unified theories based on the su5 gauge symmetry several phenomenological and cosmological aspects of these proposals are discussed | [['i', 'present', 'two', 'new', 'renormalizable', 'grand', 'unified', 'theories', 'where', 'the', 'neutrino', 'masses', 'are', 'generated', 'through', 'the', 'type', 'i', 'and', 'type', 'iii', 'seesaw', 'mechanisms', 'these', 'theories', 'can', 'be', 'considered', 'as', 'the', 'simplest', 'susy', 'renormalizable', 'grand', 'unified', 'theories', 'based', 'on', 'the', 'su5', 'gauge', 'symmetry', 'several', 'phenomenological', 'and', 'cosmological', 'aspects', 'of', 'these', 'proposals', 'are', 'discussed']] | [-0.07644023864458387, 0.23533705493005422, 0.006760651693464472, 0.24819220409083825, -0.1024125811840909, -0.26411406964493483, -0.04203598010085093, 0.3302203341602133, -0.1608337007033137, -0.25090310360806495, 0.06220024234901827, -0.18279302827655697, -0.14329838395441094, 0.10063043415832978, -0.006801567219484311, -0.0007491788755242641, -0.12003611489378202, -0.050968517298595264, -0.10013690637424588, -0.3082941989414394, 0.34599687495770365, -0.0012899241947497313, 0.2229113047136567, 0.020756903399999898, 0.08162881838730894, -0.1196268697699102, -0.027555318786583554, -0.051488571997302085, -0.13116987400616592, 0.10932051561450443, 0.19304347879145867, 0.17102091880336118, 0.1398277355429645, -0.48679642150035274, -0.2511656190125415, 0.11886175752330858, 0.14567066772052875, 0.11321215150662912, -0.12424924331403767, -0.3075955737955295, 0.04227934715946993, -0.25869770862090474, -0.07853375661160009, -0.10593540979047808, -0.10971119276319559, -0.08707088149654177, -0.3004591948567675, 0.08753774740034714, -0.07935659730663666, 0.039425747003406286, -0.01752469867754441, -0.16079573720120466, -0.011316574859217955, 0.002639193795263194, 0.20143552912542453, -0.07783238706178963, 0.14476307659508444, -0.16881762921380308, -0.22787839652468952, 0.47620118567003655, -0.0310365260587647, -0.16251582544870102, 0.2121963300339233, -0.04934838845824393, -0.251591551117599, 0.002552792626934556, 0.08075862322360851, 0.1352420175054039, -0.21257647619439432, 0.22178737510022564, -0.06306242788783632, 0.05573338956590025, -0.006247861454120049, 0.06811604609426397, 0.378386430370693, 0.16816049728256005, -0.032221192243294075, -0.050530110219439775, 0.005899101616635632, -0.17087993555917189, -0.557940610182973, -0.06186578179208132, -0.06719026388600469, 0.07195767347897905, -0.09017518741165986, -0.09271907104322544, 0.4581187692685769, 0.15200855757575482, 0.15203430590470537, 0.06280833866017368, 0.1959754864174801, 0.06240291434761065, 0.11161188646040571, -0.05550214506757374, 0.2756765204696701, 0.061842527912141614, 0.024785431034755535, -0.19561512139178097, -0.14783074544706884, 0.2459001184279959] |
710.1322 | Effects of the disconnected flavor singlet corrections on the hyperfine
splitting in charmonium | Experimentally the charmonium hyperfine splitting is
$M_{J/\psi}-M_{\eta_c}=117$ MeV and current lattice results are generally below
this value. The difference could be due to the effects of the disconnected
flavor singlet diagrams which have not been included in these calculations.
Previous attempts to determine the disconnected flavor singlet corrections have
led just to rough estimates in the range of $\pm 20$ MeV. We present
preliminary results for these corrections calculated on fine ($a\approx 0.09$
fm) Asqtad 2+1 flavor lattices provided by the MILC Collaboration.
| hep-lat | experimentally the charmonium hyperfine splitting is m_jpsim_eta_c117 mev and current lattice results are generally below this value the difference could be due to the effects of the disconnected flavor singlet diagrams which have not been included in these calculations previous attempts to determine the disconnected flavor singlet corrections have led just to rough estimates in the range of pm 20 mev we present preliminary results for these corrections calculated on fine aapprox 009 fm asqtad 21 flavor lattices provided by the milc collaboration | [['experimentally', 'the', 'charmonium', 'hyperfine', 'splitting', 'is', 'm_jpsim_eta_c117', 'mev', 'and', 'current', 'lattice', 'results', 'are', 'generally', 'below', 'this', 'value', 'the', 'difference', 'could', 'be', 'due', 'to', 'the', 'effects', 'of', 'the', 'disconnected', 'flavor', 'singlet', 'diagrams', 'which', 'have', 'not', 'been', 'included', 'in', 'these', 'calculations', 'previous', 'attempts', 'to', 'determine', 'the', 'disconnected', 'flavor', 'singlet', 'corrections', 'have', 'led', 'just', 'to', 'rough', 'estimates', 'in', 'the', 'range', 'of', 'pm', '20', 'mev', 'we', 'present', 'preliminary', 'results', 'for', 'these', 'corrections', 'calculated', 'on', 'fine', 'aapprox', '009', 'fm', 'asqtad', '21', 'flavor', 'lattices', 'provided', 'by', 'the', 'milc', 'collaboration']] | [-0.055976765605098594, 0.29964232105171174, -0.04066879708865067, 0.11620718600773593, -0.03724386921030379, -0.09007057272715539, 0.11481759370952027, 0.4476359485444136, -0.12949021984028017, -0.3234917550694152, 0.04701384429808524, -0.3188657810025644, 0.023888737781018746, 0.12716490087928478, 0.027693956227200788, 0.05619788315805902, 0.09876543965911856, -0.029804285175575897, -0.12911329399112884, -0.26407269005828377, 0.30759642336790155, 0.012902917679705908, 0.2369252832765441, 0.23911831903884687, -0.04872516158999444, -0.07637589370899993, -0.06006158336361007, -0.05711902399751835, -0.18538943863837276, 0.07674638101285915, 0.19623182679912665, -0.03918238050906306, 0.12072998502223593, -0.3514191921709514, -0.1720139696205989, 0.10695729848769743, 0.12631348468840303, 0.14198572274507593, 0.0013362117972020515, -0.33542499345977134, 0.13310630264601148, -0.18418441986858208, -0.14375941779623488, -0.13545960760334644, -0.026186285585891908, -0.08372079875183905, -0.2787065586790715, 0.06523700411681359, -0.06093510799109936, 0.07580391724411861, -0.025519308628423547, -0.31275597787689324, -0.026123893458577917, 0.099847740823085, 0.06833809855814296, 0.11205892636804138, 0.11066477280110121, -0.05507096783371597, -0.165014974665033, 0.42985114171283273, -0.05466696492782453, -0.14068291697469426, 0.09946141021522102, -0.1798302809219444, -0.15379277818336537, 0.15539655371330588, 0.14937169905524791, 0.04467529813168434, -0.15151466185613194, 0.08745502624249017, -0.04555508361493305, 0.21675624163173957, 0.07231678027182636, 0.020952680858033822, 0.2009272466572683, 0.11167195899321175, -0.010054127182584346, 0.019153018611222053, -0.055287001061071525, -0.1299426203888909, -0.28007359667567583, -0.00907905252150646, -0.10927448265549795, 0.106110756385045, -0.08552190313870286, -0.0986432385511651, 0.39062101598374727, 0.15279163674042537, 0.18470889924018838, -0.0542129109054236, 0.25110041802158445, 0.06858829444092585, 0.14609119758327924, 0.03145671863585892, 0.3117510276255993, 0.16956095730249837, 0.1089284806909812, -0.2824115243047567, -0.06178574188805481, 0.07325895562222819] |
710.1323 | Dedekind-Carlitz Polynomials as Lattice-Point Enumerators in Rational
Polyhedra | We study higher-dimensional analogs of the Dedekind-Carlitz polynomials
c(u,v;a,b) := sum_{k=1..b-1} u^[ka/b] v^(k-1), where u and v are indeterminates
and a and b are positive integers. Carlitz proved that these polynomials
satisfy the reciprocity law (v-1) c(u,v;a,b) + (u-1) c(v,u;b,a) = u^(a-1)
v^(b-1) - 1, from which one easily deduces many classical reciprocity theorems
for the Dedekind sum and its generalizations. We illustrate that
Dedekind-Carlitz polynomials appear naturally in generating functions of
rational cones and use this fact to give geometric proofs of the Carlitz
reciprocity law and various extensions of it. Our approach gives rise to new
reciprocity theorems and computational complexity results for Dedekind-Carlitz
polynomials, a characterization of Dedekind-Carlitz polynomials in terms of
generating functions of lattice points in triangles, and a multivariate
generalization of the Mordell-Pommersheim theorem on the appearance of Dedekind
sums in Ehrhart polynomials of 3-dimensional lattice polytopes.
| math.NT math.CO | we study higherdimensional analogs of the dedekindcarlitz polynomials cuvab sum_k1b1 ukab vk1 where u and v are indeterminates and a and b are positive integers carlitz proved that these polynomials satisfy the reciprocity law v1 cuvab u1 cvuba ua1 vb1 1 from which one easily deduces many classical reciprocity theorems for the dedekind sum and its generalizations we illustrate that dedekindcarlitz polynomials appear naturally in generating functions of rational cones and use this fact to give geometric proofs of the carlitz reciprocity law and various extensions of it our approach gives rise to new reciprocity theorems and computational complexity results for dedekindcarlitz polynomials a characterization of dedekindcarlitz polynomials in terms of generating functions of lattice points in triangles and a multivariate generalization of the mordellpommersheim theorem on the appearance of dedekind sums in ehrhart polynomials of 3dimensional lattice polytopes | [['we', 'study', 'higherdimensional', 'analogs', 'of', 'the', 'dedekindcarlitz', 'polynomials', 'cuvab', 'sum_k1b1', 'ukab', 'vk1', 'where', 'u', 'and', 'v', 'are', 'indeterminates', 'and', 'a', 'and', 'b', 'are', 'positive', 'integers', 'carlitz', 'proved', 'that', 'these', 'polynomials', 'satisfy', 'the', 'reciprocity', 'law', 'v1', 'cuvab', 'u1', 'cvuba', 'ua1', 'vb1', '1', 'from', 'which', 'one', 'easily', 'deduces', 'many', 'classical', 'reciprocity', 'theorems', 'for', 'the', 'dedekind', 'sum', 'and', 'its', 'generalizations', 'we', 'illustrate', 'that', 'dedekindcarlitz', 'polynomials', 'appear', 'naturally', 'in', 'generating', 'functions', 'of', 'rational', 'cones', 'and', 'use', 'this', 'fact', 'to', 'give', 'geometric', 'proofs', 'of', 'the', 'carlitz', 'reciprocity', 'law', 'and', 'various', 'extensions', 'of', 'it', 'our', 'approach', 'gives', 'rise', 'to', 'new', 'reciprocity', 'theorems', 'and', 'computational', 'complexity', 'results', 'for', 'dedekindcarlitz', 'polynomials', 'a', 'characterization', 'of', 'dedekindcarlitz', 'polynomials', 'in', 'terms', 'of', 'generating', 'functions', 'of', 'lattice', 'points', 'in', 'triangles', 'and', 'a', 'multivariate', 'generalization', 'of', 'the', 'mordellpommersheim', 'theorem', 'on', 'the', 'appearance', 'of', 'dedekind', 'sums', 'in', 'ehrhart', 'polynomials', 'of', '3dimensional', 'lattice', 'polytopes']] | [-0.16865264874124983, 0.05441136693553929, -0.11144365156943402, 0.09183614975440182, -0.10864888865122557, -0.1580285904929042, 0.028464763372772393, 0.2537956436049137, -0.3304436841237366, -0.19438710055905709, 0.07682638451600574, -0.2672153186977358, -0.20090429504451, 0.20645848894141672, -0.12501635680437312, 0.007819647137058157, -0.029279311278596856, -0.0013711468869806232, -0.08942424302878685, -0.33507110419354047, 0.3110847688048966, -0.061989352016016505, 0.20333289716889927, 0.08964952759714306, 0.09327318073999613, 0.02936381861021308, -0.04535700940295942, -0.04192597719164971, -0.156040822186081, 0.14875930288449435, 0.28199767383319657, 0.10651109279651996, 0.20171392895281315, -0.3767344613832639, -0.08048354973316305, 0.1690595720253913, 0.1340746647289681, -0.006885639715701677, -0.007688455610129898, -0.24155676774890686, 0.0719136804048168, -0.16806471827825098, -0.18556500271074755, -0.13124688158224904, 0.02820086276204206, 0.11474512485066023, -0.31906405251991365, 0.07047187991412286, 0.14207305488635302, 0.14910784616413844, -0.008936783413514775, -0.18752571342765054, 0.021937943082057723, 0.03443108047743825, 0.032938295163046145, -0.004909542598411497, 0.0021678416401539977, -0.11238111287558493, -0.18467950408479997, 0.374155786490642, 0.03317535233323259, -0.2305536091439706, 0.11771180956883538, -0.20111979049922815, -0.18520427605529366, 0.0969764982206621, 0.11371731244839896, 0.11839564921410099, -0.03900313883305604, 0.12543217643493212, -0.16512331756574095, 0.023831133826992902, 0.20342032079886002, 0.08072551004798677, 0.15581289481343633, -0.04042767931504133, 0.03266466536018227, 0.17715450236398755, 0.049487044021165126, -0.08855883493193221, -0.33653988836935367, -0.18096195821321212, -0.20207881337185776, 0.11609999146452524, -0.16851058160217436, -0.16357297722698377, 0.38574789603121745, 0.07479869255129094, 0.14925617491126172, 0.1802743023158142, 0.19869395441295146, 0.12110817567988026, 0.07805765590926324, 0.004205301260449609, 0.08593536030389089, 0.25835537221422766, 0.07771184199132529, -0.09199117104561397, -0.02023614696235767, 0.227806214134636] |
710.1324 | Traces of heat operators on Riemannian foliations | We consider the basic heat operator on functions on a Riemannian foliation of
a compact, Riemannian manifold, and we show that the trace of this operator has
a particular short time asymptotic expansion. The coefficients in this
expansion are obtainable from local transverse geometric invariants - functions
computable by analyzing the manifold in an arbitrarily small neighborhood of a
leaf closure. Using this expansion, we prove some results about the spectrum of
the basic Laplacian, such as the analogue of Weyl's asymptotic formula. Also,
we explicitly calculate the first two nontrivial coefficients of the expansion
for special cases such as codimension two foliations and foliations with
regular closure.
| math.DG | we consider the basic heat operator on functions on a riemannian foliation of a compact riemannian manifold and we show that the trace of this operator has a particular short time asymptotic expansion the coefficients in this expansion are obtainable from local transverse geometric invariants functions computable by analyzing the manifold in an arbitrarily small neighborhood of a leaf closure using this expansion we prove some results about the spectrum of the basic laplacian such as the analogue of weyls asymptotic formula also we explicitly calculate the first two nontrivial coefficients of the expansion for special cases such as codimension two foliations and foliations with regular closure | [['we', 'consider', 'the', 'basic', 'heat', 'operator', 'on', 'functions', 'on', 'a', 'riemannian', 'foliation', 'of', 'a', 'compact', 'riemannian', 'manifold', 'and', 'we', 'show', 'that', 'the', 'trace', 'of', 'this', 'operator', 'has', 'a', 'particular', 'short', 'time', 'asymptotic', 'expansion', 'the', 'coefficients', 'in', 'this', 'expansion', 'are', 'obtainable', 'from', 'local', 'transverse', 'geometric', 'invariants', 'functions', 'computable', 'by', 'analyzing', 'the', 'manifold', 'in', 'an', 'arbitrarily', 'small', 'neighborhood', 'of', 'a', 'leaf', 'closure', 'using', 'this', 'expansion', 'we', 'prove', 'some', 'results', 'about', 'the', 'spectrum', 'of', 'the', 'basic', 'laplacian', 'such', 'as', 'the', 'analogue', 'of', 'weyls', 'asymptotic', 'formula', 'also', 'we', 'explicitly', 'calculate', 'the', 'first', 'two', 'nontrivial', 'coefficients', 'of', 'the', 'expansion', 'for', 'special', 'cases', 'such', 'as', 'codimension', 'two', 'foliations', 'and', 'foliations', 'with', 'regular', 'closure']] | [-0.18476481580776033, 0.065136247611671, -0.11071402105180739, 0.10732583094183704, -0.09001345514694106, -0.07898304861683016, -0.03332428874395718, 0.3175141015829884, -0.29158056862043025, -0.18009783032950816, 0.14042683007743942, -0.27921404929997, -0.18035486201259576, 0.19647249856215215, -0.07925896946760765, 0.038145882974021904, 0.07699425024781202, 0.1298108189867235, -0.1345451795256688, -0.194120497601629, 0.4334383332736303, 0.00037467693822963217, 0.18946793494380523, 0.07711867126527408, 0.14752336641312272, -0.014503809622332244, -0.0042816978013229985, 0.03477101618431606, -0.17885699122960552, 0.12179638862187722, 0.22220348120040356, 0.07354855470176543, 0.21384210297924894, -0.4112852647134634, -0.1902903149896693, 0.1432053444593727, 0.1363375623096825, 0.04887586643986804, -0.0037286645389014036, -0.2511911602499329, 0.08152033062542954, -0.13981154455289801, -0.19212626809880973, -0.12537373747474245, 0.0166349836590343, 0.032221477948755864, -0.21613581907047638, 0.050784484184919376, 0.1148047049434107, 0.09098065442571016, -0.07040493859187047, -0.09176378353786106, 0.002155577435340976, 0.10279506919731464, 0.04070573914948433, 0.017834745008045823, 0.08272045979572233, -0.0676006344419025, -0.09444708023361739, 0.3083638934435967, -0.12030198789314828, -0.27151053950895565, 0.1021032121639577, -0.2064671052628519, -0.19183433412739606, 0.05379443083537273, 0.1360128928306643, 0.19922716269339216, -0.1162062484126921, 0.1636018738418243, -0.06235186683414417, 0.05703159846435083, 0.13113709271528592, 0.023104865325910745, 0.11219579815673077, 0.08665419524648688, 0.1022277589154073, 0.15886698051129478, -0.02266579218400277, -0.07008249185561577, -0.38010781294901236, -0.20398687118246595, -0.19439426789530248, 0.15379376024460403, -0.21005025544724967, -0.21990809980431728, 0.44749106947228173, 0.036243327754053555, 0.22961142848063015, 0.10317654298644548, 0.2935306430211134, 0.13444662319983694, 0.02453354519800605, 0.11644280425090099, 0.16303882871185446, 0.17046101639595615, 0.039083051094872374, -0.16676635472930829, 0.0092069743131505, 0.18934591546672108] |
710.1325 | The MIMOME Channel | The MIMOME channel is a Gaussian wiretap channel in which the sender,
receiver, and eavesdropper all have multiple antennas. We characterize the
secrecy capacity as the saddle-value of a minimax problem. Among other
implications, our result establishes that a Gaussian distribution maximizes the
secrecy capacity characterization of Csisz{\'a}r and K{\"o}rner when applied to
the MIMOME channel. We also determine a necessary and sufficient condition for
the secrecy capacity to be zero. Large antenna array analysis of this condition
reveals several useful insights into the conditions under which secure
communication is possible.
| cs.IT math.IT | the mimome channel is a gaussian wiretap channel in which the sender receiver and eavesdropper all have multiple antennas we characterize the secrecy capacity as the saddlevalue of a minimax problem among other implications our result establishes that a gaussian distribution maximizes the secrecy capacity characterization of csiszar and korner when applied to the mimome channel we also determine a necessary and sufficient condition for the secrecy capacity to be zero large antenna array analysis of this condition reveals several useful insights into the conditions under which secure communication is possible | [['the', 'mimome', 'channel', 'is', 'a', 'gaussian', 'wiretap', 'channel', 'in', 'which', 'the', 'sender', 'receiver', 'and', 'eavesdropper', 'all', 'have', 'multiple', 'antennas', 'we', 'characterize', 'the', 'secrecy', 'capacity', 'as', 'the', 'saddlevalue', 'of', 'a', 'minimax', 'problem', 'among', 'other', 'implications', 'our', 'result', 'establishes', 'that', 'a', 'gaussian', 'distribution', 'maximizes', 'the', 'secrecy', 'capacity', 'characterization', 'of', 'csiszar', 'and', 'korner', 'when', 'applied', 'to', 'the', 'mimome', 'channel', 'we', 'also', 'determine', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'the', 'secrecy', 'capacity', 'to', 'be', 'zero', 'large', 'antenna', 'array', 'analysis', 'of', 'this', 'condition', 'reveals', 'several', 'useful', 'insights', 'into', 'the', 'conditions', 'under', 'which', 'secure', 'communication', 'is', 'possible']] | [-0.26472268785453507, 0.021858502541565232, -0.07733059566881921, 0.06488438289638401, -0.06656201267873661, -0.327864791577061, 0.15575148929169194, 0.3355399173167017, -0.2695946524747544, -0.21327173869229024, 0.14454322326281627, -0.2145317346892423, -0.16294211690158894, 0.1548211841740542, -0.1273411170889934, 0.09484460217257341, 0.014203541063600117, 0.08002154781586594, 0.0012768401680255516, -0.2958439269827472, 0.31958113929463755, 0.1374769209056265, 0.36669686070332924, 0.11256192824479917, 0.05937050523546835, 0.029427783488709894, 0.023916268915248413, -0.06918390192505386, -0.1920281515719479, 0.03505612353587316, 0.3202408556722932, 0.22086055842745636, 0.2574975940916273, -0.34088242462732726, -0.2700087118479941, 0.11762720644991431, 0.12038050164572067, 0.07926341086212131, -0.03203286294204493, -0.27983354035144054, 0.12289639791059825, -0.1955180870782998, -0.028158295369293127, 0.03916842167576154, -0.11611700364285045, 0.02920718591970702, -0.43423983040783143, 0.0017222424319091564, 0.08012888383366064, 0.03134156933261289, -0.05931404253157477, -0.13388644040355252, 0.05871180420379258, 0.2261054443805026, 0.02072157468388064, -0.046087600125206844, 0.06082073748111725, -0.09631381809401016, -0.04874812448397279, 0.2969199444995158, -0.02753914070263919, -0.26133229033504096, 0.11357315563169929, -0.1406736292772823, -0.09440486112402545, 0.18265862584941917, 0.21497422597474522, 0.05753542429560588, -0.2346820716831846, 0.02114254295011051, -0.09526473069563508, 0.16470406244819363, 0.09762126721648706, 0.19712489957714247, 0.14879897736633818, 0.11997392090399646, 0.1741773612305729, 0.26175517618798444, -0.12150305092541708, -0.12239370344711158, -0.2796549302894467, -0.18373065657085844, -0.2436175290404612, 0.05268883769943689, -0.12153268379350063, -0.041304145918952095, 0.3076823357078764, 0.1326022492773417, 0.1086447191838589, 0.12311453981997653, 0.37356432859475414, 0.06174768605075466, 0.022794849363466103, 0.15722565280480516, 0.21796154400540724, 0.24063917255649964, 0.05861210769249333, -0.18632782104606221, 0.11750699949528401, -0.06350565148103568] |
710.1326 | Magnetar Driven Bubbles and the Origin of Collimated Outflows from GRBs | We model the interaction between the wind from a newly formed rapidly
rotating magnetar and the surrounding progenitor. In the first few seconds
after core collapse the magnetar inflates a bubble of plasma and magnetic
fields behind the supernova shock, which expands asymmetrically because of the
pinching effect of the toroidal magnetic field, as in PWNe, even if the host
star is spherically symmetric. The degree of asymmetry depends on the ratio of
the magnetic energy to the total energy in the bubble. We assume that the wind
by newly formed magnetars inflating these bubbles is more magnetized than for
PWNe. We show that for a magnetic to total power supplied by the central
magnetar $\sim 0.1$ the bubble expands relatively spherically while for values
greater than 0.3, most of the pressure in the bubble is exerted close to the
rotation axis, driving a collimated outflow out through the host star. This can
account for the collimation inferred from observations of long-duration
gamma-ray bursts (GRBs). Given that the wind magnetization increases in time,
we thus suggest that the magnetar-driven bubble initially expands relatively
spherically (enhancing the energy of the associated supernova) while at late
times it becomes progressivelymore collimated (producing the GRB). Similar
processes may operate in more modestly rotating neutron stars to produce
asymmetric supernovae and lower energy transients such as X-ray flashes.
| astro-ph | we model the interaction between the wind from a newly formed rapidly rotating magnetar and the surrounding progenitor in the first few seconds after core collapse the magnetar inflates a bubble of plasma and magnetic fields behind the supernova shock which expands asymmetrically because of the pinching effect of the toroidal magnetic field as in pwne even if the host star is spherically symmetric the degree of asymmetry depends on the ratio of the magnetic energy to the total energy in the bubble we assume that the wind by newly formed magnetars inflating these bubbles is more magnetized than for pwne we show that for a magnetic to total power supplied by the central magnetar sim 01 the bubble expands relatively spherically while for values greater than 03 most of the pressure in the bubble is exerted close to the rotation axis driving a collimated outflow out through the host star this can account for the collimation inferred from observations of longduration gammaray bursts grbs given that the wind magnetization increases in time we thus suggest that the magnetardriven bubble initially expands relatively spherically enhancing the energy of the associated supernova while at late times it becomes progressivelymore collimated producing the grb similar processes may operate in more modestly rotating neutron stars to produce asymmetric supernovae and lower energy transients such as xray flashes | [['we', 'model', 'the', 'interaction', 'between', 'the', 'wind', 'from', 'a', 'newly', 'formed', 'rapidly', 'rotating', 'magnetar', 'and', 'the', 'surrounding', 'progenitor', 'in', 'the', 'first', 'few', 'seconds', 'after', 'core', 'collapse', 'the', 'magnetar', 'inflates', 'a', 'bubble', 'of', 'plasma', 'and', 'magnetic', 'fields', 'behind', 'the', 'supernova', 'shock', 'which', 'expands', 'asymmetrically', 'because', 'of', 'the', 'pinching', 'effect', 'of', 'the', 'toroidal', 'magnetic', 'field', 'as', 'in', 'pwne', 'even', 'if', 'the', 'host', 'star', 'is', 'spherically', 'symmetric', 'the', 'degree', 'of', 'asymmetry', 'depends', 'on', 'the', 'ratio', 'of', 'the', 'magnetic', 'energy', 'to', 'the', 'total', 'energy', 'in', 'the', 'bubble', 'we', 'assume', 'that', 'the', 'wind', 'by', 'newly', 'formed', 'magnetars', 'inflating', 'these', 'bubbles', 'is', 'more', 'magnetized', 'than', 'for', 'pwne', 'we', 'show', 'that', 'for', 'a', 'magnetic', 'to', 'total', 'power', 'supplied', 'by', 'the', 'central', 'magnetar', 'sim', '01', 'the', 'bubble', 'expands', 'relatively', 'spherically', 'while', 'for', 'values', 'greater', 'than', '03', 'most', 'of', 'the', 'pressure', 'in', 'the', 'bubble', 'is', 'exerted', 'close', 'to', 'the', 'rotation', 'axis', 'driving', 'a', 'collimated', 'outflow', 'out', 'through', 'the', 'host', 'star', 'this', 'can', 'account', 'for', 'the', 'collimation', 'inferred', 'from', 'observations', 'of', 'longduration', 'gammaray', 'bursts', 'grbs', 'given', 'that', 'the', 'wind', 'magnetization', 'increases', 'in', 'time', 'we', 'thus', 'suggest', 'that', 'the', 'magnetardriven', 'bubble', 'initially', 'expands', 'relatively', 'spherically', 'enhancing', 'the', 'energy', 'of', 'the', 'associated', 'supernova', 'while', 'at', 'late', 'times', 'it', 'becomes', 'progressivelymore', 'collimated', 'producing', 'the', 'grb', 'similar', 'processes', 'may', 'operate', 'in', 'more', 'modestly', 'rotating', 'neutron', 'stars', 'to', 'produce', 'asymmetric', 'supernovae', 'and', 'lower', 'energy', 'transients', 'such', 'as', 'xray', 'flashes']] | [-0.10561541368612694, 0.21895119040001668, -0.02675219792705614, 0.1269828014612415, -0.12155413133981784, -0.06556462807342778, 0.030214041385866468, 0.3943844735622406, -0.20055370771006636, -0.3161818101133466, 0.04788270708687203, -0.2646313320193857, 0.026678400993297054, 0.24724139747493837, 0.008651200488736726, -0.09625124782651419, 0.06114980535719527, -0.003455592066701084, -0.06010190311625115, -0.19267805455400788, 0.3063324614539701, 0.13434888923336072, 0.19024465999170834, 0.008557192628342876, 0.06689641263958217, -0.11193809759773882, 0.02254366307339794, -0.002005482984147131, -0.10202903684413722, 0.007460813929698526, 0.1340736147404425, 0.1175308686883644, 0.22549805490325117, -0.48435806269306403, -0.25534440280092807, 0.08026156336077721, 0.18618850739706191, 0.04048234831297461, -0.08558535198861161, -0.25073678679179584, 0.06571819192511677, -0.24709947799201146, -0.19187589013122122, 0.07476535479375265, 0.07189560282793765, 0.0812330561384116, -0.2199892670990515, 0.1273341522214834, 0.052429540396559435, 0.00285862069556097, -0.12907803203438664, -0.023294419601492818, -0.06186861039511024, 0.014506485196239744, 0.12030133730972044, 0.08780200313985548, 0.20870948266634726, -0.18535638916631952, 0.011904308914870959, 0.4023565578852851, -0.0382105904734942, -0.03233244980898406, 0.1715734987237779, -0.25927975942952886, -0.11289670378882793, 0.20922740224869962, 0.14444218320062596, 0.1300992137883506, -0.10786355500377823, -0.041583320863321505, -0.007612415943336527, 0.1502146552475545, 0.07818539491896372, -0.0029590222391382387, 0.3403052798589282, 0.16428206364505177, 0.0207573244256289, 0.16489691179738517, -0.1983499086282901, -0.045719073063196954, -0.26448439483033837, -0.09937107075118531, -0.14959077774223375, 0.11812147976321088, -0.1447918902548952, -0.1475038711752141, 0.3691408622732194, 0.10021897445635394, 0.15509932975581275, -0.030791351679741768, 0.2930320427949319, 0.07701100553740901, 0.08539079469649513, 0.2137190717065732, 0.35222560887312676, 0.15959316952103925, 0.1443957629521699, -0.2331435840489184, 0.09375430469405358, 0.004541411917581486] |
710.1327 | Unveiling GRB hard X-ray afterglow emission with Simbol-X | Despite the enormous progress occurred in the last 10 years, the Gamma-Ray
Bursts (GRB) phenomenon is still far to be fully understood. One of the most
important open issues that have still to be settled is the afterglow emission
above 10 keV, which is almost completely unexplored. This is due to the lack of
sensitive enough detectors operating in this energy band. The only detection,
by the BeppoSAX/PDS instrument (15-200 keV), of hard X-ray emission from a GRB
(the very bright GRB 990123), combined with optical and radio observations,
seriously challenged the standard scenario in which the dominant mechanism is
synchrotron radiation produced in the shock of a ultra-relativistic fireball
with the ISM, showing the need of a substantial revision of present models. In
this respect, thanks to its unprecedented sensitivity in the 10-80 keV energy
band, Simbol-X, through follow-up observations of bright GRBs detected and
localized by GRB dedicated experiments that will fly in the >2010 time frame,
will provide an important breakthrough in the GRB field.
| astro-ph | despite the enormous progress occurred in the last 10 years the gammaray bursts grb phenomenon is still far to be fully understood one of the most important open issues that have still to be settled is the afterglow emission above 10 kev which is almost completely unexplored this is due to the lack of sensitive enough detectors operating in this energy band the only detection by the bepposaxpds instrument 15200 kev of hard xray emission from a grb the very bright grb 990123 combined with optical and radio observations seriously challenged the standard scenario in which the dominant mechanism is synchrotron radiation produced in the shock of a ultrarelativistic fireball with the ism showing the need of a substantial revision of present models in this respect thanks to its unprecedented sensitivity in the 1080 kev energy band simbolx through followup observations of bright grbs detected and localized by grb dedicated experiments that will fly in the 2010 time frame will provide an important breakthrough in the grb field | [['despite', 'the', 'enormous', 'progress', 'occurred', 'in', 'the', 'last', '10', 'years', 'the', 'gammaray', 'bursts', 'grb', 'phenomenon', 'is', 'still', 'far', 'to', 'be', 'fully', 'understood', 'one', 'of', 'the', 'most', 'important', 'open', 'issues', 'that', 'have', 'still', 'to', 'be', 'settled', 'is', 'the', 'afterglow', 'emission', 'above', '10', 'kev', 'which', 'is', 'almost', 'completely', 'unexplored', 'this', 'is', 'due', 'to', 'the', 'lack', 'of', 'sensitive', 'enough', 'detectors', 'operating', 'in', 'this', 'energy', 'band', 'the', 'only', 'detection', 'by', 'the', 'bepposaxpds', 'instrument', '15200', 'kev', 'of', 'hard', 'xray', 'emission', 'from', 'a', 'grb', 'the', 'very', 'bright', 'grb', '990123', 'combined', 'with', 'optical', 'and', 'radio', 'observations', 'seriously', 'challenged', 'the', 'standard', 'scenario', 'in', 'which', 'the', 'dominant', 'mechanism', 'is', 'synchrotron', 'radiation', 'produced', 'in', 'the', 'shock', 'of', 'a', 'ultrarelativistic', 'fireball', 'with', 'the', 'ism', 'showing', 'the', 'need', 'of', 'a', 'substantial', 'revision', 'of', 'present', 'models', 'in', 'this', 'respect', 'thanks', 'to', 'its', 'unprecedented', 'sensitivity', 'in', 'the', '1080', 'kev', 'energy', 'band', 'simbolx', 'through', 'followup', 'observations', 'of', 'bright', 'grbs', 'detected', 'and', 'localized', 'by', 'grb', 'dedicated', 'experiments', 'that', 'will', 'fly', 'in', 'the', '2010', 'time', 'frame', 'will', 'provide', 'an', 'important', 'breakthrough', 'in', 'the', 'grb', 'field']] | [-0.06118597127836741, 0.15118756377870296, -0.05664582377669701, 0.12948453734445917, -0.10333223398109632, -0.10522466458704523, 0.04044523931917779, 0.4658979972425316, -0.19962993164760215, -0.3362019863523615, 0.09260037308836001, -0.28577528046887546, 0.002473297426366203, 0.2210257018691014, -0.03973291120547358, -0.002819815048063728, 0.12443634470192981, -0.09344742958932156, -0.014217075409500726, -0.23663878980525105, 0.22064046655751077, 0.1981950137215747, 0.2003718558752596, 0.08014749225583814, 0.07105782416294373, -0.0647721760074741, -0.04844432764886213, -0.06246592392909363, -0.0749227466673065, 0.06515565511030477, 0.2945233412274103, 0.11607958752020273, 0.24770240006979466, -0.4114007008056866, -0.26210047456247376, 0.11027502365565549, 0.15213771689464228, -0.011338347797780963, -0.05507001473909311, -0.29890266421162304, 0.0377282783287921, -0.19972450497914992, -0.16448532850370698, 0.06481504191331278, 0.017738651423964517, 0.004144521030996527, -0.12190237680139641, 0.07697697935232316, 0.03154056116563013, 0.035093260617161705, -0.07530497844605374, 0.0107932581179609, 0.03577350390523428, 0.04048672951813344, 0.09085758437452439, 0.10394109919850182, 0.1031910891130489, -0.16474852228808837, -0.07663334500587855, 0.42890521942726556, -0.05219223790447272, 0.02558508340293234, 0.19279200027639967, -0.2071497705155274, -0.1819223980724235, 0.24541621416297166, 0.10977759178716778, 0.07782157052341583, -0.17473538177624245, 0.04414745935424608, -0.006120802964904301, 0.20671032197909275, 0.02533600646364946, 0.07482888715319513, 0.2873464202469525, 0.1848229905763652, 0.014131110010480154, 0.0991043619848954, -0.20160081622279472, 0.02209064811246381, -0.2916863511227781, -0.08254989856054419, -0.16755322251091934, 0.12157355372411464, -0.03241279184069191, -0.09821016149847613, 0.4216267184071642, 0.1580150286317803, 0.17606665709449554, -0.03883054832944514, 0.3202370422604006, 0.07388544927761402, 0.08719082508053232, 0.09847384179010987, 0.4071441409510693, 0.09252755500602645, 0.1548013389138283, -0.1664647606750285, 0.0986559581249908, -0.04346297028297115] |
710.1328 | The Galois action on character tables | A geometric interpretation and generalisation for the Galois action on finite
group character tables is sketched. The generalisation is a Galois action on
the space Map_G(G^n,\bar{Q})/S_n for each finite G, where G acts by
simultaneous conjugation on the n-tuples G^n and the symmetric group S_n
permutes the components.
| math.GR math.RT | a geometric interpretation and generalisation for the galois action on finite group character tables is sketched the generalisation is a galois action on the space map_ggnbarqs_n for each finite g where g acts by simultaneous conjugation on the ntuples gn and the symmetric group s_n permutes the components | [['a', 'geometric', 'interpretation', 'and', 'generalisation', 'for', 'the', 'galois', 'action', 'on', 'finite', 'group', 'character', 'tables', 'is', 'sketched', 'the', 'generalisation', 'is', 'a', 'galois', 'action', 'on', 'the', 'space', 'map_ggnbarqs_n', 'for', 'each', 'finite', 'g', 'where', 'g', 'acts', 'by', 'simultaneous', 'conjugation', 'on', 'the', 'ntuples', 'gn', 'and', 'the', 'symmetric', 'group', 's_n', 'permutes', 'the', 'components']] | [-0.2024405560594924, 0.14091525757883458, -0.11772331989746779, -0.004870559718023906, -0.17196849134176018, -0.08018041560624509, 0.03868858623219297, 0.3330022089500376, -0.31180411085803456, -0.2097245584777061, 0.08281554393668442, -0.26854730411333605, -0.11216851893535003, 0.1789323939604962, -0.15219888903517673, -0.07110123526542744, 0.0351959940521641, 0.2209010214564648, -0.10537022140194127, -0.2468981166627813, 0.3556503828694212, -0.07010281666558474, 0.25670856697128175, -0.01242253736919783, 0.1632832314898359, 0.10928383352670898, -0.03571210452850829, -0.055502518209594086, -0.053832699247497194, 0.05363473438836159, 0.25860530480821714, 0.022854999609370815, 0.1977462213426987, -0.32055238119148194, -0.18468652118710763, 0.19267218397494326, 0.07407259356547544, -0.017587239586530214, -0.03265081111965899, -0.3429224526787058, 0.10534324146252363, -0.18640245362482172, -0.0798742129427797, -0.053594843742061166, 0.15691314510842588, -0.03970339289925834, -0.24589372308369964, -0.06254541711445818, 0.08614000891015786, 0.16474300052257293, -0.03444117347293712, -0.130384550449696, -0.025735966742355773, 0.11793321238315486, -0.06526159419569168, 0.04979603894134151, 0.11963236549908811, -0.06423673961073795, -0.09454790573131214, 0.4692929723953947, -0.10065502871541267, -0.24335239474919249, 0.09063362995004083, -0.11270723152073457, -0.197195948517703, 0.0754942132179883, 0.08100323172959875, 0.1662722457041766, 0.03893669423191471, 0.22217274318260954, -0.17938406462285747, 0.10421737874709466, 0.059357640075873824, -0.05885946374148764, 0.13247172702896468, 0.060447554391353055, 0.12310040258029055, 0.10886937768218365, 0.04235082717632201, -0.018480372912389166, -0.42081593024603864, -0.15937640115697968, -0.16988027956772675, 0.0756251938205133, -0.1369130001496276, -0.15506252900083015, 0.4304635100601677, 0.017101482666553335, 0.16432113446694047, 0.09469138755106386, 0.1985219943317327, 0.07740810796856246, 0.08287979654492215, 0.03732267452126488, -0.014347843389878882, 0.27647525322266875, -0.1694859081601843, -0.2687572884408044, -0.015995299265264197, 0.2770932175892782] |
710.1329 | Conformal field theory and mapping class groups | Rational conformal field theories produce a tower of finite-dimensional
representations of surface mapping class groups, acting on the conformal blocks
of the theory. We review this formalism. We show that many recent mathematical
developments can be fit into the first 2 floors of this tower. We also review
what is known in higher genus.
| math.QA math.NT | rational conformal field theories produce a tower of finitedimensional representations of surface mapping class groups acting on the conformal blocks of the theory we review this formalism we show that many recent mathematical developments can be fit into the first 2 floors of this tower we also review what is known in higher genus | [['rational', 'conformal', 'field', 'theories', 'produce', 'a', 'tower', 'of', 'finitedimensional', 'representations', 'of', 'surface', 'mapping', 'class', 'groups', 'acting', 'on', 'the', 'conformal', 'blocks', 'of', 'the', 'theory', 'we', 'review', 'this', 'formalism', 'we', 'show', 'that', 'many', 'recent', 'mathematical', 'developments', 'can', 'be', 'fit', 'into', 'the', 'first', '2', 'floors', 'of', 'this', 'tower', 'we', 'also', 'review', 'what', 'is', 'known', 'in', 'higher', 'genus']] | [-0.11212129589963567, 0.152113090907396, -0.10833914080393259, 0.07165764967902322, -0.10769102246397072, -0.09684306033886969, -0.05068694106173805, 0.3512306829948944, -0.2573535954924645, -0.26851678384398975, 0.1016505504376255, -0.21360542217304032, -0.26145902489036044, 0.20640655767379534, -0.10877008003148216, -0.030489991315537028, 0.005384206642500228, 0.08492174722616458, -0.11275075379051958, -0.3167715085911806, 0.35837282857391983, -0.02209128204871107, 0.2484554871916771, 0.03865130547503078, 0.07813793416479947, -0.015530136448365671, -0.03263829927891493, 0.018117816247804848, -0.16170089532412626, 0.18067961006804747, 0.28935218604574736, 0.12224928844996073, 0.21219822080995612, -0.44936397826919955, -0.23755023628473282, 0.11046007348233144, 0.13895603119292194, 0.13799138960463028, -0.03444227464367739, -0.23883768810925107, 0.06896968054179861, -0.2150169713422656, -0.16319908472467903, -0.07857971400436428, -0.019234694434864516, -0.04625284130236617, -0.1595488566974247, -0.03430677610675856, 0.08362603316911393, 0.10396371942220463, -0.0725621812356015, -0.1283084536143751, 0.007319272616533218, 0.1423585834412801, 0.04444226711833229, 0.06928808003215602, 0.11884084682808155, -0.1524614615245136, -0.12571975647437353, 0.313490711428501, -0.07382730556720937, -0.18038549828688027, 0.1668789802222616, -0.1877366182204612, -0.23661180475243815, 0.08711466526060745, 0.17987083050387878, 0.14274514695905424, -0.08967206889280567, 0.16843189278410542, -0.11939710295862621, 0.10788851460933478, 0.07857055798241938, 0.0043008702169, 0.22652969560240982, 0.11720680439396312, 0.029706037826448057, 0.13088057944507994, 0.011784485545595762, -0.0671232707315573, -0.4072076380942707, -0.20985272996666834, -0.10194069145385314, 0.12320638227673178, -0.04715961926720209, -0.16005740753219774, 0.4246869488765865, 0.13212774491909873, 0.1531356938045334, 0.142804563511163, 0.2275691252477743, 0.08784128585830331, 0.09846911336191827, 0.03768375418493869, 0.16009487881739107, 0.17779359890630952, -0.022038050922910096, -0.11486207116050301, -0.08841824286867415, 0.18823778060161406] |
710.133 | QCD thermodynamics with 2+1 flavors at nonzero chemical potential | We present results for the QCD equation of state, quark densities and
susceptibilities at nonzero chemical potential, using 2+1 flavor asqtad
ensembles with $N_t=4$. The ensembles lie on a trajectory of constant physics
for which $m_{ud}\approx0.1m_s$. The calculation is performed using the Taylor
expansion method with terms up to sixth order in $\mu/T$.
| hep-lat | we present results for the qcd equation of state quark densities and susceptibilities at nonzero chemical potential using 21 flavor asqtad ensembles with n_t4 the ensembles lie on a trajectory of constant physics for which m_udapprox01m_s the calculation is performed using the taylor expansion method with terms up to sixth order in mut | [['we', 'present', 'results', 'for', 'the', 'qcd', 'equation', 'of', 'state', 'quark', 'densities', 'and', 'susceptibilities', 'at', 'nonzero', 'chemical', 'potential', 'using', '21', 'flavor', 'asqtad', 'ensembles', 'with', 'n_t4', 'the', 'ensembles', 'lie', 'on', 'a', 'trajectory', 'of', 'constant', 'physics', 'for', 'which', 'm_udapprox01m_s', 'the', 'calculation', 'is', 'performed', 'using', 'the', 'taylor', 'expansion', 'method', 'with', 'terms', 'up', 'to', 'sixth', 'order', 'in', 'mut']] | [-0.06671994951410362, 0.19614737121782339, -0.10310116436225004, -0.028706547551197358, 0.001777882150445993, -0.04720197348461415, 0.10576048992627946, 0.35135152939563763, -0.14972196111025718, -0.28200938251729196, 0.08082849233044097, -0.30001754156098914, -0.03695077133866457, 0.11025418298175702, 0.13065082128517902, 0.11507142609200226, 0.06561995564530101, 0.05865916136043289, -0.1615908388585712, -0.27140170908891237, 0.3179703135661279, 0.011152846452135306, 0.21325352546185827, 0.11312067677051975, 0.11807839873318489, -0.05639775176174366, -0.0060124141522325, -0.02277657214122323, -0.12296880323153275, 0.08074222313455091, 0.15712151251388534, -0.01907774563341473, 0.1447749727477248, -0.3399636832316621, -0.20633734588493377, 0.0903552735869128, 0.10278667132549274, 0.14425805189351265, -0.03043906403427872, -0.2684657651787767, 0.080758726134753, -0.18087422283133492, -0.222594631011956, -0.19623079968508905, -0.03960996472205107, -0.001300562173128128, -0.3331011294458921, 0.13947918391428316, -0.09860332948245251, 0.09095509155080296, -0.0016703297240802874, -0.23570720031141087, 0.01402002948228843, 0.08047686818127449, 0.011074436555365818, 0.1013170712125989, 0.10239495532228969, -0.14923458721918556, -0.15603111228511596, 0.4889118659954805, -0.13448411055455486, -0.19373768356700355, 0.1330275132249181, -0.22042370061927402, -0.16365891814124411, 0.1028345485862631, 0.18383249817326522, 0.11065020269821756, -0.14775453402230945, 0.11674147811964548, 0.02841525811415452, 0.1657150796829508, 0.11863311269105627, -0.055378625267901674, 0.19666361353861597, 0.14715511988526067, -0.0018704877472303521, 0.06473837497805317, -0.03339791811035516, -0.16399410465517297, -0.35245972864616376, -0.06289611895604488, -0.17937373486347497, 0.06062994701250528, -0.14765887070741604, -0.150114342798658, 0.4095054335462359, 0.16163979282674307, 0.17452611709729984, 0.05104768785083881, 0.25493712064165336, 0.1332546391775115, 0.06401644296979961, 0.0804215617513714, 0.18899415786234805, 0.20668149907858327, 0.17209331960811353, -0.2948808293306054, -0.10967132037218946, 0.19428177802966765] |
710.1331 | Resonance Related Spiral Substructure in a Galactic Gaseous Disk | We use high resolution 2D hydrodynamic simulations to study the formation of
spiral substructure in the gaseous disk of a galaxy. The obtained gaseous
response is driven by a self-consistent non-axisymmetric potential obtained
from an imposed spiral mass distribution. We highlight the importance of
ultraharmonic resonances in generating these features. The temporal evolution
of the system is followed with the parallel ZEUS-MP code, and we follow the
steepening of perturbations induced by the spiral potential until large-scale
shocks emerge. These shocks exhibit bifurcations that protrude from the gaseous
arms and continue to steepen until new shocks are formed. When the contribution
from the spiral potential relative to the axisymmetric background is increased
from our default value, spurs protrude from the main arms after several
revolutions of the gaseous disk. Such spurs overlap on top of the
aforementioned shocks. These results support the hypothesis that a complicated
gaseous response can coexist with an orderly spiral potential term, in the
sense that the underlying background potential can be smooth yet drive a
gaseous response that is far more spatially complex.
| astro-ph | we use high resolution 2d hydrodynamic simulations to study the formation of spiral substructure in the gaseous disk of a galaxy the obtained gaseous response is driven by a selfconsistent nonaxisymmetric potential obtained from an imposed spiral mass distribution we highlight the importance of ultraharmonic resonances in generating these features the temporal evolution of the system is followed with the parallel zeusmp code and we follow the steepening of perturbations induced by the spiral potential until largescale shocks emerge these shocks exhibit bifurcations that protrude from the gaseous arms and continue to steepen until new shocks are formed when the contribution from the spiral potential relative to the axisymmetric background is increased from our default value spurs protrude from the main arms after several revolutions of the gaseous disk such spurs overlap on top of the aforementioned shocks these results support the hypothesis that a complicated gaseous response can coexist with an orderly spiral potential term in the sense that the underlying background potential can be smooth yet drive a gaseous response that is far more spatially complex | [['we', 'use', 'high', 'resolution', '2d', 'hydrodynamic', 'simulations', 'to', 'study', 'the', 'formation', 'of', 'spiral', 'substructure', 'in', 'the', 'gaseous', 'disk', 'of', 'a', 'galaxy', 'the', 'obtained', 'gaseous', 'response', 'is', 'driven', 'by', 'a', 'selfconsistent', 'nonaxisymmetric', 'potential', 'obtained', 'from', 'an', 'imposed', 'spiral', 'mass', 'distribution', 'we', 'highlight', 'the', 'importance', 'of', 'ultraharmonic', 'resonances', 'in', 'generating', 'these', 'features', 'the', 'temporal', 'evolution', 'of', 'the', 'system', 'is', 'followed', 'with', 'the', 'parallel', 'zeusmp', 'code', 'and', 'we', 'follow', 'the', 'steepening', 'of', 'perturbations', 'induced', 'by', 'the', 'spiral', 'potential', 'until', 'largescale', 'shocks', 'emerge', 'these', 'shocks', 'exhibit', 'bifurcations', 'that', 'protrude', 'from', 'the', 'gaseous', 'arms', 'and', 'continue', 'to', 'steepen', 'until', 'new', 'shocks', 'are', 'formed', 'when', 'the', 'contribution', 'from', 'the', 'spiral', 'potential', 'relative', 'to', 'the', 'axisymmetric', 'background', 'is', 'increased', 'from', 'our', 'default', 'value', 'spurs', 'protrude', 'from', 'the', 'main', 'arms', 'after', 'several', 'revolutions', 'of', 'the', 'gaseous', 'disk', 'such', 'spurs', 'overlap', 'on', 'top', 'of', 'the', 'aforementioned', 'shocks', 'these', 'results', 'support', 'the', 'hypothesis', 'that', 'a', 'complicated', 'gaseous', 'response', 'can', 'coexist', 'with', 'an', 'orderly', 'spiral', 'potential', 'term', 'in', 'the', 'sense', 'that', 'the', 'underlying', 'background', 'potential', 'can', 'be', 'smooth', 'yet', 'drive', 'a', 'gaseous', 'response', 'that', 'is', 'far', 'more', 'spatially', 'complex']] | [-0.12420852348605686, 0.09361750761321272, -0.09632855735187772, 0.07309773568811137, -0.07306443817524166, -0.03196873236710658, -0.04498746679927417, 0.3885019080987, -0.2823270971934169, -0.2877359089394242, 0.06331915293207213, -0.26099604589826464, -0.12425023177507107, 0.1632909177313164, 0.01699146640218668, 0.002289070910905714, 0.03807984569865032, -0.08266577901881672, -0.037881267080767514, -0.2072400516122685, 0.34109230393196566, 0.07772293332227542, 0.16493223876413485, -0.029814392088854547, 0.03824911866005573, -0.10036303921823658, -0.029555633990357152, 0.007829807438272036, -0.13218053861335052, 0.03891172543652145, 0.18000871063981896, 0.08856053706942557, 0.27922857603542295, -0.5056398155451831, -0.21352960489753445, 0.03074134334574564, 0.18586436230662978, 0.1063165187409495, -0.10733208575098194, -0.28877238417175827, 0.06756134873840138, -0.1806894303640881, -0.21397032517161074, -0.002257775763933689, 0.014838848710270589, 0.06370444811412296, -0.2451792386035556, 0.11204518641392558, 0.07532318333568516, 0.044371530502418974, -0.07829748871367909, -0.05016895436937, -0.08852308765474685, 0.116242445042616, 0.06327838093597483, 0.08094168123578663, 0.22755226831472777, -0.16517928768065102, -0.05422039909780257, 0.3707041471386276, -0.07831478499975793, -0.11412654920233845, 0.25832788469953893, -0.20574374299359607, -0.09502797302826818, 0.20922087832475028, 0.17170418223818648, 0.049421069275398376, -0.09348147732853866, -0.003499546444101396, -0.033900413117608275, 0.15820239105467068, 0.09992466995618858, -0.0024332380839616934, 0.32080091297163466, 0.15016968596574065, 0.041024895040265755, 0.12447059980401569, -0.13449243787218326, -0.10662474960751706, -0.26400588843761025, -0.07417767474001621, -0.10988754698596263, 0.0140221216268627, -0.07877526745857213, -0.16041047759038413, 0.3861607618493128, 0.12351055669803489, 0.2046621551074214, 0.006283409160819683, 0.3158309948814791, 0.08358278596743489, 0.09046863438035388, 0.12678616134894455, 0.2952952892387991, 0.1307484847756555, 0.08643480155638046, -0.24165296725834073, 0.07842385825716842, -0.03173062926431918] |
710.1332 | Polyexponentials | We discuss a special function (polyexponential) that extends the natural
exponential function and also the exponential integral. The basic properties of
the polyexponential are listed and some applications are given. In particular,
it is shown that certain Mellin integrals can be evaluated in terms of
polyexponentials. The polyexponential is related to the exponential
polynomials, the Riemann zeta function, the Dirichlet eta function and the
Lerch Transcendent.
| math.NA math.CA | we discuss a special function polyexponential that extends the natural exponential function and also the exponential integral the basic properties of the polyexponential are listed and some applications are given in particular it is shown that certain mellin integrals can be evaluated in terms of polyexponentials the polyexponential is related to the exponential polynomials the riemann zeta function the dirichlet eta function and the lerch transcendent | [['we', 'discuss', 'a', 'special', 'function', 'polyexponential', 'that', 'extends', 'the', 'natural', 'exponential', 'function', 'and', 'also', 'the', 'exponential', 'integral', 'the', 'basic', 'properties', 'of', 'the', 'polyexponential', 'are', 'listed', 'and', 'some', 'applications', 'are', 'given', 'in', 'particular', 'it', 'is', 'shown', 'that', 'certain', 'mellin', 'integrals', 'can', 'be', 'evaluated', 'in', 'terms', 'of', 'polyexponentials', 'the', 'polyexponential', 'is', 'related', 'to', 'the', 'exponential', 'polynomials', 'the', 'riemann', 'zeta', 'function', 'the', 'dirichlet', 'eta', 'function', 'and', 'the', 'lerch', 'transcendent']] | [-0.1599796203018811, 0.0681916152485288, -0.114932589376202, 0.16095292567848585, -0.11049070444244605, -0.07303910850762174, -0.03820141258721168, 0.3099946981546684, -0.31597449550261864, -0.19100848304537626, 0.11382090137340128, -0.26014894761789875, -0.224666905689698, 0.2275162004507505, -0.05096285894799691, 0.11738612136015525, 0.01443450224514191, 0.07530928451854449, -0.12327651026873634, -0.3101611089821045, 0.3554149779562767, 0.007806290872395039, 0.17816411177985944, 0.10539957287076573, 0.07079045372800186, 0.0027504073455929755, -0.029950978592611276, -0.07198407177168589, -0.14748743744678974, 0.08721920334948943, 0.24345507312279482, 0.11286040551673908, 0.24672770626269855, -0.33788491968925183, -0.15347437132149935, 0.144234975011876, 0.15096366385427806, -0.06288653397081921, 0.0322421674330074, -0.23809425870959575, 0.08109816348610016, -0.15516900663765576, -0.17642055506316515, -0.07915993875179153, 0.03784613053386028, 0.16545529481775773, -0.2802358875480982, 0.07089361036509777, 0.04900180256137481, 0.022674592734815983, -0.07327058619031539, -0.19715141353842158, 0.007482949515374807, 0.06592857065395667, 0.1163035026178337, 0.08274804219746819, 0.08105989953216453, -0.15108434999218354, -0.068495836481452, 0.3279462319727127, -0.043665901222266254, -0.2605719626522981, 0.12286327882454945, -0.19830722121808392, -0.15951451571801534, 0.06082025593182502, 0.07834221330972818, 0.15953582995212995, -0.12097316236736683, 0.1810269117471762, -0.07499032779954946, 0.07414980321549453, 0.1318590169485945, 0.0055471207803258525, 0.12488298285752535, 0.03586779972896553, -0.008633477971530877, 0.21969235378783197, -0.008595352992415428, -0.11761365772153322, -0.3830359543745334, -0.22400001171403205, -0.1980481766164303, 0.04119291128232502, -0.15391071124221736, -0.1954479410971264, 0.41553080563361827, 0.06604075032787828, 0.19021961883140298, 0.10031609871926216, 0.18773758706565086, 0.28468723739855567, 0.08341070293233944, 0.021703179627589775, 0.12989985241975563, 0.14388565812259912, 0.06144319494039967, -0.175536507812257, 0.08108046314177605, 0.12556790058286144] |
710.1333 | Dynamics and robustness of familiarity memory | When one is presented with an item or a face, one can sometimes have a sense
of recognition without being able to recall where or when one has encountered
it before. This sense of recognition is known as familiarity. Following
previous computational models of familiarity memory we investigate the
dynamical properties of familiarity discrimination, and contrast two different
familiarity discriminators: one based on the energy of the neural network, and
the other based on the time derivative of the energy. We show how the
familiarity signal decays after a stimulus is presented, and examine the
robustness of the familiarity discriminator in the presence of random
fluctuations in neural activity. For both discriminators we establish, via a
combined method of signal-to-noise ratio and mean field analysis, how the
maximum number of successfully discriminated stimuli depends on the noise
level.
| q-bio.NC | when one is presented with an item or a face one can sometimes have a sense of recognition without being able to recall where or when one has encountered it before this sense of recognition is known as familiarity following previous computational models of familiarity memory we investigate the dynamical properties of familiarity discrimination and contrast two different familiarity discriminators one based on the energy of the neural network and the other based on the time derivative of the energy we show how the familiarity signal decays after a stimulus is presented and examine the robustness of the familiarity discriminator in the presence of random fluctuations in neural activity for both discriminators we establish via a combined method of signaltonoise ratio and mean field analysis how the maximum number of successfully discriminated stimuli depends on the noise level | [['when', 'one', 'is', 'presented', 'with', 'an', 'item', 'or', 'a', 'face', 'one', 'can', 'sometimes', 'have', 'a', 'sense', 'of', 'recognition', 'without', 'being', 'able', 'to', 'recall', 'where', 'or', 'when', 'one', 'has', 'encountered', 'it', 'before', 'this', 'sense', 'of', 'recognition', 'is', 'known', 'as', 'familiarity', 'following', 'previous', 'computational', 'models', 'of', 'familiarity', 'memory', 'we', 'investigate', 'the', 'dynamical', 'properties', 'of', 'familiarity', 'discrimination', 'and', 'contrast', 'two', 'different', 'familiarity', 'discriminators', 'one', 'based', 'on', 'the', 'energy', 'of', 'the', 'neural', 'network', 'and', 'the', 'other', 'based', 'on', 'the', 'time', 'derivative', 'of', 'the', 'energy', 'we', 'show', 'how', 'the', 'familiarity', 'signal', 'decays', 'after', 'a', 'stimulus', 'is', 'presented', 'and', 'examine', 'the', 'robustness', 'of', 'the', 'familiarity', 'discriminator', 'in', 'the', 'presence', 'of', 'random', 'fluctuations', 'in', 'neural', 'activity', 'for', 'both', 'discriminators', 'we', 'establish', 'via', 'a', 'combined', 'method', 'of', 'signaltonoise', 'ratio', 'and', 'mean', 'field', 'analysis', 'how', 'the', 'maximum', 'number', 'of', 'successfully', 'discriminated', 'stimuli', 'depends', 'on', 'the', 'noise', 'level']] | [-0.07249698623258999, 0.0806449161872202, -0.07091777673433197, 0.06024163049153066, -0.0755916103295496, -0.17611131235785055, 0.021698660471145926, 0.3905273371146641, -0.24146982474063616, -0.3285512742114024, 0.10036655582848324, -0.28055991336662806, -0.1706916218340073, 0.15158131553460777, -0.12709405648427596, 0.029601783980952874, 0.06426679397902815, 0.1632427636726314, -0.04399600176501722, -0.2741862506609059, 0.3185858605294556, 0.054872387075337814, 0.2995356468288093, 0.009064056825371918, 0.12151203592952368, -0.0038852292894169796, -0.05049618838424119, 0.023520541184183643, -0.05748351734887431, 0.11343180392598869, 0.20683740963603128, 0.17272566929392086, 0.3153285063209309, -0.4399573149402504, -0.2159176058375506, 0.11432757435714071, 0.08410512096083224, 0.07516932153426435, -0.0410416550331992, -0.2757759643583626, 0.10626346374308501, -0.14154212262508445, -0.03679832222743257, -0.07356299583773142, -0.01044641931767346, 0.044392646000167166, -0.2519310933303263, 0.04745438236378781, 0.08341266811665897, 0.08093212791246132, -0.02647170849630366, -0.09926426479511935, -0.005972578561446373, 0.1486045781213392, 0.08810316366514703, 0.03237101132412056, 0.13976056089682126, -0.21952854420659065, -0.14516341639176497, 0.35087692335355974, -0.07860932806321164, -0.23354594096325446, 0.21915384760949816, -0.12281060652415929, -0.1336819766919412, 0.08187620831970402, 0.17363841081058365, 0.07376370297582902, -0.11928097628823826, 0.04079735692610721, 0.018224581090760403, 0.24224028388541058, 0.051104866761201316, 0.04061801126901654, 0.17913711178656397, 0.20433906031151614, 0.01386128636026431, 0.13009276778978782, -0.10534068499607425, -0.035865048526961735, -0.2609190881130812, -0.12530025438257103, -0.20109502936669532, 0.018579869903117906, -0.07408463347836505, -0.1428983616102757, 0.4498579731089589, 0.1878645460870441, 0.20179867160682013, 0.0938397322214492, 0.3128142452299379, 0.10952391623151556, 0.059414619215480656, 0.028366247337122542, 0.2514852545885504, 0.10617178750723816, 0.09733941396225945, -0.20535341526408665, 0.10978266294789163, 0.03243910334498176] |
710.1334 | Spin Anisotropy in ZnCu_3(OH)_6Cl_2 | The spin anisotropic exchange interaction is suggested to contribute
significantly to the abnormal upturn of the magnetic susceptibility in the
ZnCu$_3$(OH)$_6$Cl$_2$. The saturation of the magnetic susceptibility below 300
mK observed in the muon spin resonance ($\mu$SR) experiment is the quantum
effect of the spin flipping process.
| cond-mat.str-el cond-mat.stat-mech | the spin anisotropic exchange interaction is suggested to contribute significantly to the abnormal upturn of the magnetic susceptibility in the zncu_3oh_6cl_2 the saturation of the magnetic susceptibility below 300 mk observed in the muon spin resonance musr experiment is the quantum effect of the spin flipping process | [['the', 'spin', 'anisotropic', 'exchange', 'interaction', 'is', 'suggested', 'to', 'contribute', 'significantly', 'to', 'the', 'abnormal', 'upturn', 'of', 'the', 'magnetic', 'susceptibility', 'in', 'the', 'zncu_3oh_6cl_2', 'the', 'saturation', 'of', 'the', 'magnetic', 'susceptibility', 'below', '300', 'mk', 'observed', 'in', 'the', 'muon', 'spin', 'resonance', 'musr', 'experiment', 'is', 'the', 'quantum', 'effect', 'of', 'the', 'spin', 'flipping', 'process']] | [-0.17316232538445198, 0.3202768565809473, -0.010585782494633756, 0.10508094108905773, -0.0926027759746153, -0.08694450018253733, 0.04825548040482434, 0.3211016356152423, -0.2519050705385335, -0.3463997413265578, 0.00010078223521246555, -0.3815364274889865, -0.051860557750184486, 0.1854432443394623, 0.12961570105138928, 0.00789302238758574, -0.07309195404238206, 0.09271342806676601, -0.07728393581953455, -0.20338508978169015, 0.23958787211078278, 0.05816074100848129, 0.3433598541912246, 0.15417849153597304, 0.06616708621422344, 0.03174095486905029, 0.1505372082378636, -0.023405339727376368, -0.08608683493939485, -0.026866018336187018, 0.22883619556446222, -0.09299393034876978, 0.0848937742610244, -0.3923959382512468, -0.18826347569677424, 0.038092124850509015, 0.12581750691095564, 0.12847597659268278, -0.04896548021822534, -0.26740405011050244, 0.05502006186400243, -0.13120496324560743, -0.1344056650401747, -0.0877662020279689, -0.06015915421650131, -0.06319189107322946, -0.2841115454409985, 0.2262347903241344, 0.1530626527172454, 0.13940943580398218, -0.1154325196489771, -0.1356856175004802, -0.005851845088553556, 0.037101284541348194, 0.10650002285082666, 0.1496247662964495, 0.25434728792095757, -0.1322139570132849, -0.17489242115791173, 0.23514977834643203, -0.06969864270154466, -0.03591130253799418, 0.0910913874989653, -0.3145351742017776, -0.05594938670463385, 0.17630083516656242, 0.105901023650423, 0.07529345341026783, -0.1450580172240734, 0.02642021783964431, 0.023915078451341772, 0.1649715051134216, -0.03495010997148904, 0.019546828559659262, 0.2439561534593714, 0.20396690399564327, 0.023867359246186753, 0.17033733794108985, -0.2384032796513527, -0.07199686504107841, -0.19021271149370264, -0.14288967330642838, -0.20671987334424827, 0.13447675165878806, -0.05413843834019722, -0.10911331563553911, 0.4012613193072537, 0.2104524480218583, 0.19622372453437842, -0.10805884931494106, 0.2805773631689396, 0.10885207123182555, 0.1494360022009053, 0.02298509694160299, 0.3025781918079295, 0.28488183253385285, 0.19790616742473968, -0.46655650343745947, 0.11563223686584449, -0.07052613826136679] |
710.1335 | Effects of kinked linear defects on planar flux line arrays | In the hard core limit, interacting vortices in planar type II
superconductors can be modeled as non-interacting one dimensional fermions
propagating in imaginary time. We use this analogy to derive analytical
expressions for the probability density and imaginary current of vortex lines
interacting with an isolated bent line defect and to understand the pinning
properties of such systems. When there is an abrupt change of the direction of
the pinning defect, we find a sinusoidal modulation of the vortex density in
directions both parallel and perpendicular to the defect.
| cond-mat.supr-con cond-mat.stat-mech | in the hard core limit interacting vortices in planar type ii superconductors can be modeled as noninteracting one dimensional fermions propagating in imaginary time we use this analogy to derive analytical expressions for the probability density and imaginary current of vortex lines interacting with an isolated bent line defect and to understand the pinning properties of such systems when there is an abrupt change of the direction of the pinning defect we find a sinusoidal modulation of the vortex density in directions both parallel and perpendicular to the defect | [['in', 'the', 'hard', 'core', 'limit', 'interacting', 'vortices', 'in', 'planar', 'type', 'ii', 'superconductors', 'can', 'be', 'modeled', 'as', 'noninteracting', 'one', 'dimensional', 'fermions', 'propagating', 'in', 'imaginary', 'time', 'we', 'use', 'this', 'analogy', 'to', 'derive', 'analytical', 'expressions', 'for', 'the', 'probability', 'density', 'and', 'imaginary', 'current', 'of', 'vortex', 'lines', 'interacting', 'with', 'an', 'isolated', 'bent', 'line', 'defect', 'and', 'to', 'understand', 'the', 'pinning', 'properties', 'of', 'such', 'systems', 'when', 'there', 'is', 'an', 'abrupt', 'change', 'of', 'the', 'direction', 'of', 'the', 'pinning', 'defect', 'we', 'find', 'a', 'sinusoidal', 'modulation', 'of', 'the', 'vortex', 'density', 'in', 'directions', 'both', 'parallel', 'and', 'perpendicular', 'to', 'the', 'defect']] | [-0.19134470027233108, 0.15902140934649447, -0.03334827318766646, 0.03257870230447041, -0.052823226773337034, -0.1463548000849616, 0.03576859406959475, 0.41410951873057344, -0.23639769280549097, -0.2450263099430987, 0.031964104282512756, -0.2693383510988415, -0.10815613952810678, 0.13445643640353522, 0.043264823374495415, 0.0021014464391248947, -0.039505069756231616, 0.04357212568957652, -0.06830363102215395, -0.19817770880992325, 0.29131689659330284, -0.007669146170086238, 0.32616960683188745, 0.048832786414024075, 0.009035037898489933, 0.028244805213566242, 0.037703782885094704, 0.06648546161150999, -0.12665641638502645, 0.079549811649649, 0.23743138655894594, -0.0421360886519712, 0.16042416465332668, -0.4963458670366011, -0.19800850465956532, 0.08273075427336807, 0.22186786558981356, 0.15186266725610817, -0.035507341695091364, -0.25553577451893456, 0.02293259904228067, -0.11957201889056839, -0.2482818597142867, 0.0012519379156861413, 0.058838706424334246, 0.07986389106830184, -0.21920031974657198, 0.08628719465367579, 0.06620617947551642, 0.07641071981091178, -0.08879059021559994, -0.03630892218749845, -0.05304182183750895, 0.06469889329334334, 0.05905119598361799, 0.049172196134380744, 0.14928526398882772, -0.1761850069387027, -0.1376991395712987, 0.35840165853667794, -0.07024739104914322, -0.18624570654977238, 0.20275616843065017, -0.12601530697102542, -0.09257842037366347, 0.17662132766851213, 0.15664798477559946, 0.0695251886199197, -0.08927037668224094, 0.06880609141309547, -0.024324134266882968, 0.1349691443807142, 0.09687804498741132, -0.0001636008977931872, 0.3029302728121703, 0.13103240413926123, 0.06577460889526632, 0.17743531506955937, -0.136438897167322, -0.11013907724677512, -0.2902868547466364, -0.1965815723177799, -0.19898992257841516, 0.05990148633142954, -0.07534811266889571, -0.23702192093046864, 0.386131873082244, 0.11437908165729761, 0.19522863076777416, -0.023395003350660873, 0.2560426268852159, 0.18289649485364515, 0.03985171551617344, 0.0712949035982235, 0.21913775016313022, 0.16497557965013082, 0.1063219936292493, -0.2672150712303315, -0.01952379211532266, 0.026625629760366813] |
710.1336 | Multi-User Diversity vs. Accurate Channel Feedback for MIMO Broadcast
Channels | A multiple transmit antenna, single receive antenna (per receiver) downlink
channel with limited channel feedback is considered. Given a constraint on the
total system-wide channel feedback, the following question is considered: is it
preferable to get low-rate feedback from a large number of receivers or to
receive high-rate/high-quality feedback from a smaller number of (randomly
selected) receivers? Acquiring feedback from many users allows multi-user
diversity to be exploited, while high-rate feedback allows for very precise
selection of beamforming directions. It is shown that systems in which a
limited number of users feedback high-rate channel information significantly
outperform low-rate/many user systems. While capacity increases only double
logarithmically with the number of users, the marginal benefit of channel
feedback is very significant up to the point where the CSI is essentially
perfect.
| cs.IT math.IT | a multiple transmit antenna single receive antenna per receiver downlink channel with limited channel feedback is considered given a constraint on the total systemwide channel feedback the following question is considered is it preferable to get lowrate feedback from a large number of receivers or to receive highratehighquality feedback from a smaller number of randomly selected receivers acquiring feedback from many users allows multiuser diversity to be exploited while highrate feedback allows for very precise selection of beamforming directions it is shown that systems in which a limited number of users feedback highrate channel information significantly outperform lowratemany user systems while capacity increases only double logarithmically with the number of users the marginal benefit of channel feedback is very significant up to the point where the csi is essentially perfect | [['a', 'multiple', 'transmit', 'antenna', 'single', 'receive', 'antenna', 'per', 'receiver', 'downlink', 'channel', 'with', 'limited', 'channel', 'feedback', 'is', 'considered', 'given', 'a', 'constraint', 'on', 'the', 'total', 'systemwide', 'channel', 'feedback', 'the', 'following', 'question', 'is', 'considered', 'is', 'it', 'preferable', 'to', 'get', 'lowrate', 'feedback', 'from', 'a', 'large', 'number', 'of', 'receivers', 'or', 'to', 'receive', 'highratehighquality', 'feedback', 'from', 'a', 'smaller', 'number', 'of', 'randomly', 'selected', 'receivers', 'acquiring', 'feedback', 'from', 'many', 'users', 'allows', 'multiuser', 'diversity', 'to', 'be', 'exploited', 'while', 'highrate', 'feedback', 'allows', 'for', 'very', 'precise', 'selection', 'of', 'beamforming', 'directions', 'it', 'is', 'shown', 'that', 'systems', 'in', 'which', 'a', 'limited', 'number', 'of', 'users', 'feedback', 'highrate', 'channel', 'information', 'significantly', 'outperform', 'lowratemany', 'user', 'systems', 'while', 'capacity', 'increases', 'only', 'double', 'logarithmically', 'with', 'the', 'number', 'of', 'users', 'the', 'marginal', 'benefit', 'of', 'channel', 'feedback', 'is', 'very', 'significant', 'up', 'to', 'the', 'point', 'where', 'the', 'csi', 'is', 'essentially', 'perfect']] | [-0.23997642182712298, 0.07400974399934057, 0.0018146388756576926, 0.00027313634745951276, -0.1475515608981368, -0.33404162435545004, 0.1592955422383966, 0.36749971893732436, -0.27251729952331516, -0.31313304920331575, 0.0808209899269059, -0.28053077313620634, -0.1026363448745542, 0.15787573924717435, -0.1216044465691084, 0.020406441341037862, 0.06948028118131333, 0.09376420641638106, 0.00298000248039898, -0.30374244769336656, 0.28231368781780475, 0.17601572366038454, 0.3262142759631388, -0.0341398020646011, 0.1177206321281119, 0.028169478580821306, -0.07290434570586513, -0.021611057476548012, -0.04342703371577272, 0.01722505690122489, 0.33899090711724966, 0.20067630624907906, 0.29775715846335515, -0.3837265784095507, -0.2678836674085687, 0.08165908651790232, 0.1757509156359447, 0.1272157447228892, -0.09707272708419623, -0.2061153401300544, 0.14423780766082928, -0.24033406145122171, 0.033445454413595144, 0.0794285820229561, -0.09195481393544469, 0.04279859015207421, -0.4033009868726367, -0.003465091773250606, -0.016019366987165995, -0.025576136307790875, 0.002993699657054094, -0.12948053368745605, -0.007198670326033607, 0.235123666765503, 0.003790731443586992, 0.0018975713373947656, 0.12977384029727546, -0.1430537247401844, -0.05787219138788657, 0.352945573933539, 0.061296089052120806, -0.2595086671644822, 0.17441120331432103, -0.15700792952702614, -0.04934287562832651, 0.2688637457031291, 0.2537332683432396, 0.0723204578498553, -0.16301353817107156, -0.01651698631758336, -0.019669768887979444, 0.25428444387330273, 0.06550986579077289, 0.1608302219028701, 0.17348925057376618, 0.16208523203385994, 0.1657596513136923, 0.13101330518384202, -0.0719382498991763, -0.10719547178814537, -0.21279319884752113, -0.07171097873833787, -0.23006856386200525, 0.05840362019080203, -0.08777004661078536, -0.061744317049260644, 0.28465879963187035, 0.11274985256386572, 0.13876983539012144, 0.09765606511518854, 0.39459125503344694, 0.08291191674288712, 0.11067945000104373, 0.11049955913767917, 0.2076864299897352, 0.1325866312472499, 0.13184546025695454, -0.2226520543663355, 0.06448640177404741, -0.0759182733745547] |
710.1337 | Search for Rare b-hadron Decays at CDF | We report on searches for B^0_s to \mu^+ \mu^-, B^0_d to \mu^+ \mu^- decays
and b to s \mu^+\mu^- transitions in exclusive decays of B mesons.
Using 2 fb^{-1} of data collected by the CDF II detector we find upper limits
on the branching fractions B(B^0_s to \mu^+ \mu^-) < 5.8 x 10^{-8} and B(B^0_d
to \mu^+ \mu^-) < 1.8 x 10^{-8} at 95% confidence level.
Using 924 pb^{-1} of data we measure the branching fractions B(B^+ to \mu^+
\mu^- K^+) = (0.60 \pm 0.15 \pm 0.04) x 10^{-6}, B(B^0_d to \mu^+ \mu^- K^{*0})
= (0.82 \pm 0.31 \pm 0.10) x 10^{-6} and the limit B(B^0_s to \mu^+ \mu^-
phi)/B(B^0_s to J/\psi\phi) < 2.61(2.30) x 10^{-3} at 95(90)% confidence level.
| hep-ex | we report on searches for b0_s to mu mu b0_d to mu mu decays and b to s mumu transitions in exclusive decays of b mesons using 2 fb1 of data collected by the cdf ii detector we find upper limits on the branching fractions bb0_s to mu mu 58 x 108 and bb0_d to mu mu 18 x 108 at 95 confidence level using 924 pb1 of data we measure the branching fractions bb to mu mu k 060 pm 015 pm 004 x 106 bb0_d to mu mu k0 082 pm 031 pm 010 x 106 and the limit bb0_s to mu mu phibb0_s to jpsiphi 261230 x 103 at 9590 confidence level | [['we', 'report', 'on', 'searches', 'for', 'b0_s', 'to', 'mu', 'mu', 'b0_d', 'to', 'mu', 'mu', 'decays', 'and', 'b', 'to', 's', 'mumu', 'transitions', 'in', 'exclusive', 'decays', 'of', 'b', 'mesons', 'using', '2', 'fb1', 'of', 'data', 'collected', 'by', 'the', 'cdf', 'ii', 'detector', 'we', 'find', 'upper', 'limits', 'on', 'the', 'branching', 'fractions', 'bb0_s', 'to', 'mu', 'mu', '58', 'x', '108', 'and', 'bb0_d', 'to', 'mu', 'mu', '18', 'x', '108', 'at', '95', 'confidence', 'level', 'using', '924', 'pb1', 'of', 'data', 'we', 'measure', 'the', 'branching', 'fractions', 'bb', 'to', 'mu', 'mu', 'k', '060', 'pm', '015', 'pm', '004', 'x', '106', 'bb0_d', 'to', 'mu', 'mu', 'k0', '082', 'pm', '031', 'pm', '010', 'x', '106', 'and', 'the', 'limit', 'bb0_s', 'to', 'mu', 'mu', 'phibb0_s', 'to', 'jpsiphi', '261230', 'x', '103', 'at', '9590', 'confidence', 'level']] | [-0.11428549640438612, 0.2149523667034668, 0.004997332261556441, 0.042361018810052053, 0.026360991980402253, -0.14439560288378783, 0.2912949268047505, 0.277955999081904, -0.1346653383351057, -0.323201019182667, -0.031122525353697843, -0.4550952262639462, 0.1927049124428818, 0.09461809223861778, 0.04385657312751219, 0.10238280646956048, 0.040325570991708526, -0.009216237062303064, -0.059054646716528644, -0.17902877456131014, 0.06183123274765036, -0.010465756843709765, 0.20770323292461332, 0.06114114554145852, 0.025023289758980542, -0.07939750025141146, -0.03145743428251228, -0.17122431411533742, -0.335764723771193, -0.02633254615556415, 0.21196664283513553, 0.10911663307867071, 0.08868617679386794, -0.14161448576697358, 0.07826846320735845, 0.24662952134721317, 0.11845074623386871, -0.2030094652562528, 0.08593462446813581, -0.43167219586200545, 0.28469116510068243, -0.13672599902057703, -0.024787892809825705, 0.014033253891980863, 0.23512610923163257, -0.17070891137595648, -0.4691224215669675, 0.1933394813037536, -0.11206997659158062, 0.07649197787448118, 0.004612101539801639, -0.378056686247808, -0.06272097397595644, -0.10193191013961762, 0.052553717256733426, 0.23358768760279106, 0.24800564365058736, 0.03728596161346178, -0.11716476637819731, 0.37750148075120943, -0.21500298883430324, -0.17564518799636145, 0.1657280680463389, -0.33420523150345766, -0.17140149629280507, 0.2639165793184762, 0.2860859246538566, 0.03440835207348337, -0.21724835404840945, 0.18047384370531602, 0.06331657392585331, 0.2461985614704522, 0.10502801876964031, 0.08719151152029365, 0.18592223892542156, 0.17587576860243137, -0.002166471637047089, -0.05048065354023968, -0.23853112938016788, 0.08005297697895954, -0.35427596888018287, -0.091848087539007, -0.036213733797037115, 0.25544350699999846, -0.1001490983470429, 0.05755021103431244, 0.20577706613049312, 0.06557067688491598, 0.3961521873737241, 0.07682151975097588, 0.20854087077450376, 0.10549585164633689, -0.05711167095321323, 0.020495588849256705, 0.20234740997857606, 0.21219028567954026, 0.08648601233086607, -0.18846944728992074, -0.05848282457304162, -0.0564883641126725] |
710.1338 | Binary Black Hole Coalescence | The two-body problem in general relativity is reviewed, focusing on the final
stages of the coalescence of the black holes as uncovered by recent successes
in numerical solution of the field equations.
| gr-qc astro-ph hep-th | the twobody problem in general relativity is reviewed focusing on the final stages of the coalescence of the black holes as uncovered by recent successes in numerical solution of the field equations | [['the', 'twobody', 'problem', 'in', 'general', 'relativity', 'is', 'reviewed', 'focusing', 'on', 'the', 'final', 'stages', 'of', 'the', 'coalescence', 'of', 'the', 'black', 'holes', 'as', 'uncovered', 'by', 'recent', 'successes', 'in', 'numerical', 'solution', 'of', 'the', 'field', 'equations']] | [-0.14148413040675223, 0.06406265206169337, -0.054453883320093155, 0.06882316641349462, -0.006735975854098797, -0.06702373991720378, -0.0364219413313549, 0.222351061514928, -0.18535677739419043, -0.304450839292258, 0.11078182790515712, -0.2935597674222663, -0.1393626430653967, 0.18949391483329237, -0.011242099513765424, 0.10009850013011601, 0.12147525581531227, 0.015827639726921916, -0.09737019578460604, -0.2816098727635108, 0.4161063686497073, 0.0843270118930377, 0.19730196631280705, 0.01514451252296567, 0.07454894250258803, 0.030435402601142414, -0.04975494585232809, 0.05361021310091019, -0.14896534146828344, 0.046691635358001804, 0.22665006102761254, 0.1870678958366625, 0.2921215422684327, -0.5077639616210945, -0.22867378103546798, -0.015861167737966753, 0.14877638063626364, 0.19393426430178806, -0.16778866328604636, -0.31115172524005175, 0.030379965668544173, -0.16995919396867976, -0.14688100352941547, 0.0038774015847593546, 0.09187326448227395, 0.032697264454327524, -0.15633880672976375, 0.12439466727664694, 0.0710659873438999, -0.07357314822729677, -0.09364310069940984, -0.1160270005275379, 0.0037985825329087675, 0.05693895943113603, 0.18125650565343676, 0.03731768163561355, 0.11060542054474354, -0.2027057075756602, -0.16243307892000303, 0.4034655331633985, -0.035512075177393854, -0.18523577775340527, 0.17088512936607003, -0.20723320623801555, -0.13463669270277023, 0.10732660470239352, 0.2071608547703363, 0.22733959468314424, -0.1577556353295222, 0.15025244711432606, 0.011864011496072635, 0.09368786204140633, 0.057725243270397186, -0.013358119102122146, 0.3078864543349482, 0.2343722154328134, -0.056593631772557274, 0.11013988219201565, 0.0009747787626110949, -0.169083132292144, -0.31432766871876083, -0.09112461493350565, -0.1761881576385349, 0.05370588465302717, -0.11672717012697831, -0.12731497683853377, 0.38800480353529565, 0.07838392292615026, 0.166696923552081, -0.004674927156884223, 0.2833550648998653, 0.09395159670020803, -0.004231734666973352, 0.00943419685063418, 0.394509521254804, 0.1838806351297535, 0.1335069939814275, -0.2554627733043162, 0.01387027786768158, 0.12980507413158193] |
710.1339 | Resonant ratcheting of a Bose-Einstein condensate | We study the rectification process of interacting quantum particles in a
periodic potential exposed to the action of an external ac driving. The
breaking of spatio-temporal symmetries leads to directed motion already in the
absence of interactions. A hallmark of quantum ratcheting is the appearance of
resonant enhancement of the current (Europhys. Lett. 79 (2007) 10007 and Phys.
Rev. A 75 (2007) 063424). Here we study the fate of these resonances within a
Gross-Pitaevskii equation which describes a mean field interaction between many
particles. We find, that the resonance is i) not destroyed by interactions, ii)
shifting its location with increasing interaction strength. We trace the
Floquet states of the linear equations into the nonlinear domain, and show that
the resonance gives rise to an instability and thus to the appearance of new
nonlinear Floquet states, whose transport properties differ strongly as
compared to the case of noninteracting particles.
| quant-ph | we study the rectification process of interacting quantum particles in a periodic potential exposed to the action of an external ac driving the breaking of spatiotemporal symmetries leads to directed motion already in the absence of interactions a hallmark of quantum ratcheting is the appearance of resonant enhancement of the current europhys lett 79 2007 10007 and phys rev a 75 2007 063424 here we study the fate of these resonances within a grosspitaevskii equation which describes a mean field interaction between many particles we find that the resonance is i not destroyed by interactions ii shifting its location with increasing interaction strength we trace the floquet states of the linear equations into the nonlinear domain and show that the resonance gives rise to an instability and thus to the appearance of new nonlinear floquet states whose transport properties differ strongly as compared to the case of noninteracting particles | [['we', 'study', 'the', 'rectification', 'process', 'of', 'interacting', 'quantum', 'particles', 'in', 'a', 'periodic', 'potential', 'exposed', 'to', 'the', 'action', 'of', 'an', 'external', 'ac', 'driving', 'the', 'breaking', 'of', 'spatiotemporal', 'symmetries', 'leads', 'to', 'directed', 'motion', 'already', 'in', 'the', 'absence', 'of', 'interactions', 'a', 'hallmark', 'of', 'quantum', 'ratcheting', 'is', 'the', 'appearance', 'of', 'resonant', 'enhancement', 'of', 'the', 'current', 'europhys', 'lett', '79', '2007', '10007', 'and', 'phys', 'rev', 'a', '75', '2007', '063424', 'here', 'we', 'study', 'the', 'fate', 'of', 'these', 'resonances', 'within', 'a', 'grosspitaevskii', 'equation', 'which', 'describes', 'a', 'mean', 'field', 'interaction', 'between', 'many', 'particles', 'we', 'find', 'that', 'the', 'resonance', 'is', 'i', 'not', 'destroyed', 'by', 'interactions', 'ii', 'shifting', 'its', 'location', 'with', 'increasing', 'interaction', 'strength', 'we', 'trace', 'the', 'floquet', 'states', 'of', 'the', 'linear', 'equations', 'into', 'the', 'nonlinear', 'domain', 'and', 'show', 'that', 'the', 'resonance', 'gives', 'rise', 'to', 'an', 'instability', 'and', 'thus', 'to', 'the', 'appearance', 'of', 'new', 'nonlinear', 'floquet', 'states', 'whose', 'transport', 'properties', 'differ', 'strongly', 'as', 'compared', 'to', 'the', 'case', 'of', 'noninteracting', 'particles']] | [-0.1712431174331672, 0.18373217627683786, -0.05260166746445459, -0.01619729374779372, -0.05828507646062487, -0.09865600403989791, 0.03223858314969048, 0.30827995271711434, -0.25205971189220816, -0.2990775664299223, -0.009193691064767237, -0.2953099946340395, -0.17732622919956575, 0.1434569993415042, -0.016309216476951702, -0.0024193091686922, 0.02842492626734531, 0.011663889808177546, -0.023395842403752375, -0.19124140156860892, 0.2631355313036742, 0.039288335560028115, 0.2667869173817815, 0.0748001167769355, 0.07078897887589158, 0.039388092417219606, 0.051956032899938324, -0.0022723404344523676, -0.12713933445411385, 0.06466032556695486, 0.16432532373693068, 0.010729590324616938, 0.24211620215980992, -0.4401326636104165, -0.20446921430049916, 0.0910356037847295, 0.14652229354062393, 0.1564306533302344, -0.03683552993036731, -0.3600036480331894, 0.013434245328204957, -0.16093969928899882, -0.1654729806075527, -0.06600527475411827, 0.07652122594034252, 0.022169283134988636, -0.2749291732278023, 0.12961507634876446, 0.10996908520826616, 0.06140032601920334, -0.08173710010030207, -0.018592059656323212, -0.03810152420585321, 0.06448403834931653, 0.020314017123333493, 0.0097113762120087, 0.1437947538530303, -0.18409252146375366, -0.1275679153182569, 0.36963664302744, -0.09330412203121956, -0.16412065024613529, 0.256298747328991, -0.14417722531455895, -0.0611849442152684, 0.15913348260172014, 0.17487726247605137, 0.09163018094212119, -0.16587975156191434, 0.08259037186468737, -0.027341311316106568, 0.1411497817969428, 0.05891537859664626, 0.03231952670407859, 0.21245709921208186, 0.14152411635763743, 0.026664423167538778, 0.14151565252639656, -0.09364356572513242, -0.1478885166060708, -0.2968045466050908, -0.147229489071194, -0.17140769245609566, 0.07700724922432454, -0.00071699684770932, -0.1760900070768076, 0.4529737065297652, 0.17829315019519748, 0.22861104207805585, -0.026636242439397738, 0.19525712970140818, 0.16034425462114726, 0.03645860486840074, 0.06612269040763478, 0.29312655002954796, 0.17465886214395632, 0.08100843253644574, -0.31109497161909333, -0.008865488479165611, 0.02031054616138037] |
710.134 | A possible disk mechanism for the 23d QPO in Mkn~501 | Optically thin two-temperature accretion flows may be thermally and viscously
stable, but acoustically unstable. Here we propose that the O-mode instability
of a cooling-dominated optically thin two-temperature inner disk may explain
the 23-day quasi-periodic oscillation (QPO) period observed in the TeV and
X-ray light curves of Mkn~501 during its 1997 high state. In our model the
relativistic jet electrons Compton upscatter the disk soft X-ray photons to TeV
energies, so that the instability-driven X-ray periodicity will lead to a
corresponding quasi-periodicity in the TeV light curve and produce correlated
variability. We analyse the dependence of the instability-driven
quasi-periodicity on the mass (M) of the central black hole, the accretion rate
($\rm{\dot{M}}$) and the viscous parameter ($\alpha$) of the inner disk. We
show that in the case of Mkn~501 the first two parameters are constrained by
various observational results, so that for the instability occurring within a
two-temperature disk where $\alpha=0.05-1.0$, the quasi-period is expected to
lie within the range of 8 to 100 days, as indeed the case. In particular, for
the observed 23-day QPO period our model implies a viscosity coefficient
$\alpha \leq 0.28$, a sub-Eddington accretion rate $\dot{M} \simeq 0.02
\dot{M}_{\rm Edd}$ and a transition radius to the outer standard disk of $r_0
\sim 60 r_g$, and predicts a period variation $\delta P/P \sim 0.23$ due to the
motion of the instability region.
| astro-ph | optically thin twotemperature accretion flows may be thermally and viscously stable but acoustically unstable here we propose that the omode instability of a coolingdominated optically thin twotemperature inner disk may explain the 23day quasiperiodic oscillation qpo period observed in the tev and xray light curves of mkn501 during its 1997 high state in our model the relativistic jet electrons compton upscatter the disk soft xray photons to tev energies so that the instabilitydriven xray periodicity will lead to a corresponding quasiperiodicity in the tev light curve and produce correlated variability we analyse the dependence of the instabilitydriven quasiperiodicity on the mass m of the central black hole the accretion rate rmdotm and the viscous parameter alpha of the inner disk we show that in the case of mkn501 the first two parameters are constrained by various observational results so that for the instability occurring within a twotemperature disk where alpha00510 the quasiperiod is expected to lie within the range of 8 to 100 days as indeed the case in particular for the observed 23day qpo period our model implies a viscosity coefficient alpha leq 028 a subeddington accretion rate dotm simeq 002 dotm_rm edd and a transition radius to the outer standard disk of r_0 sim 60 r_g and predicts a period variation delta pp sim 023 due to the motion of the instability region | [['optically', 'thin', 'twotemperature', 'accretion', 'flows', 'may', 'be', 'thermally', 'and', 'viscously', 'stable', 'but', 'acoustically', 'unstable', 'here', 'we', 'propose', 'that', 'the', 'omode', 'instability', 'of', 'a', 'coolingdominated', 'optically', 'thin', 'twotemperature', 'inner', 'disk', 'may', 'explain', 'the', '23day', 'quasiperiodic', 'oscillation', 'qpo', 'period', 'observed', 'in', 'the', 'tev', 'and', 'xray', 'light', 'curves', 'of', 'mkn501', 'during', 'its', '1997', 'high', 'state', 'in', 'our', 'model', 'the', 'relativistic', 'jet', 'electrons', 'compton', 'upscatter', 'the', 'disk', 'soft', 'xray', 'photons', 'to', 'tev', 'energies', 'so', 'that', 'the', 'instabilitydriven', 'xray', 'periodicity', 'will', 'lead', 'to', 'a', 'corresponding', 'quasiperiodicity', 'in', 'the', 'tev', 'light', 'curve', 'and', 'produce', 'correlated', 'variability', 'we', 'analyse', 'the', 'dependence', 'of', 'the', 'instabilitydriven', 'quasiperiodicity', 'on', 'the', 'mass', 'm', 'of', 'the', 'central', 'black', 'hole', 'the', 'accretion', 'rate', 'rmdotm', 'and', 'the', 'viscous', 'parameter', 'alpha', 'of', 'the', 'inner', 'disk', 'we', 'show', 'that', 'in', 'the', 'case', 'of', 'mkn501', 'the', 'first', 'two', 'parameters', 'are', 'constrained', 'by', 'various', 'observational', 'results', 'so', 'that', 'for', 'the', 'instability', 'occurring', 'within', 'a', 'twotemperature', 'disk', 'where', 'alpha00510', 'the', 'quasiperiod', 'is', 'expected', 'to', 'lie', 'within', 'the', 'range', 'of', '8', 'to', '100', 'days', 'as', 'indeed', 'the', 'case', 'in', 'particular', 'for', 'the', 'observed', '23day', 'qpo', 'period', 'our', 'model', 'implies', 'a', 'viscosity', 'coefficient', 'alpha', 'leq', '028', 'a', 'subeddington', 'accretion', 'rate', 'dotm', 'simeq', '002', 'dotm_rm', 'edd', 'and', 'a', 'transition', 'radius', 'to', 'the', 'outer', 'standard', 'disk', 'of', 'r_0', 'sim', '60', 'r_g', 'and', 'predicts', 'a', 'period', 'variation', 'delta', 'pp', 'sim', '023', 'due', 'to', 'the', 'motion', 'of', 'the', 'instability', 'region']] | [-0.12955154663457163, 0.20159565233009463, -0.051191383558262825, 0.13024669137706085, -0.06077154007669321, -0.09493088406080488, 0.03591464590093313, 0.3845595392459093, -0.25011995599099807, -0.3140627184857702, 0.09893965011101316, -0.26823572263814877, 0.005038577163771563, 0.23770715452150146, -0.029986061111030967, 0.013692566124469693, 0.022147385017202974, -0.0627959505174593, -0.03212021059469391, -0.16497376717672987, 0.24915871309375415, 0.08586083553029818, 0.13772079906235302, -0.0037171568328957386, 0.03283105461728746, -0.06570406436018078, 0.029483677176346233, -0.05608904985460399, -0.19752180254498744, 0.016159975262266906, 0.20850289846883227, 0.030572629226747517, 0.18053513149743391, -0.3671755242274214, -0.22824564868492395, 0.05493062901761667, 0.16879835382371206, -0.011369512696236773, -0.015929606303728222, -0.1800182024601663, 0.07249936580891833, -0.24050565974811935, -0.18088797504456103, 0.07677822319201857, 0.0988253092042467, -0.034509475265667174, -0.2571766334403131, 0.18809164021030536, 0.0875473044021264, 0.014364625005711354, -0.13859805528381464, -0.03313401587006757, -0.0941078032236682, -0.01477884276740821, 0.1221721205680794, 0.08258394974037471, 0.21053565516775566, -0.09039437601493146, -0.06534344980633094, 0.3550417475838782, -0.0787434523023097, -0.022122890239522998, 0.18506021520766042, -0.257243502070718, -0.08905285021975103, 0.2047294109721455, 0.1643755490486531, 0.12440912571480923, -0.09144292175226883, 0.031870423985808055, -0.04357157514123622, 0.2715687301717782, 0.0854734754515603, 0.015944512588631846, 0.31458414051548117, 0.1391802138858788, -0.018168309395464613, 0.10761258439077356, -0.21396672672331343, -0.04333175517902647, -0.2939093799994331, -0.06357864856995608, -0.09434985636102845, 0.10471708119132728, -0.14439852081352506, -0.11451514160955918, 0.3586198040513915, 0.09000339880982422, 0.26350645837896075, 0.008463132342390482, 0.260936098089734, 0.12090039351013293, 0.02629269037186638, 0.16635016147089043, 0.3721485314180765, 0.14480339669238257, 0.13601395731278687, -0.2710525635713419, 0.03952868675370388, 0.020292747481788755] |
710.1341 | Modulated phases in magnetic models frustrated by long-range
interactions | We study an Ising model in one dimension with short range ferromagnetic and
long range (power law) antiferromagnetic interactions. We show that the zero
temperature phase diagram in a (longitudinal) field H involves a sequence of up
and down domains whose size varies continuously with H, between -H_c and H_c
which represent the edge of the ferromagnetic up and down phases. The
implications of long range interaction in many body systems are discussed.
| cond-mat.stat-mech | we study an ising model in one dimension with short range ferromagnetic and long range power law antiferromagnetic interactions we show that the zero temperature phase diagram in a longitudinal field h involves a sequence of up and down domains whose size varies continuously with h between h_c and h_c which represent the edge of the ferromagnetic up and down phases the implications of long range interaction in many body systems are discussed | [['we', 'study', 'an', 'ising', 'model', 'in', 'one', 'dimension', 'with', 'short', 'range', 'ferromagnetic', 'and', 'long', 'range', 'power', 'law', 'antiferromagnetic', 'interactions', 'we', 'show', 'that', 'the', 'zero', 'temperature', 'phase', 'diagram', 'in', 'a', 'longitudinal', 'field', 'h', 'involves', 'a', 'sequence', 'of', 'up', 'and', 'down', 'domains', 'whose', 'size', 'varies', 'continuously', 'with', 'h', 'between', 'h_c', 'and', 'h_c', 'which', 'represent', 'the', 'edge', 'of', 'the', 'ferromagnetic', 'up', 'and', 'down', 'phases', 'the', 'implications', 'of', 'long', 'range', 'interaction', 'in', 'many', 'body', 'systems', 'are', 'discussed']] | [-0.16688494921393998, 0.24536694419966557, -0.00453133248063825, -0.004124690102387781, -0.021227889828230827, -0.12723567542198994, 0.04349459119281438, 0.4029433421586474, -0.2979778920950955, -0.31562879801510946, 0.0744198329558545, -0.2777417500133384, -0.0683656099877537, 0.19822990624808184, 0.0897455954739237, 0.0010244206043776788, -0.029137243325375532, 0.044426367260923944, -0.07517375080999344, -0.2003431345195803, 0.263320585633054, -0.08528208138089474, 0.25241890513937765, 0.0761133623755958, 0.055703651523600295, 0.03138361498394547, 0.08661875440037414, 0.027226810994213573, -0.17637036095601777, 0.0034007507708076743, 0.2142112491762406, -0.043615502046982516, 0.23745958282522958, -0.3574732071018382, -0.18983447822193578, 0.1117435808816593, 0.15006082024973855, 0.08545793909802778, 0.0032339108572022554, -0.2643139594432273, 0.07101055987383405, -0.18830109487625782, -0.1347254793205911, -0.060667903124265475, 0.08139528109124312, 0.03895343760704647, -0.2646022529838836, 0.0938688987795876, 0.10750872081732504, 0.11346066642667435, -0.044196999944389276, -0.1102195554604269, -0.022883409934041844, 0.15063643405590307, 0.09406470554427894, 0.11044830601496546, 0.11150180517172772, -0.1582239425026697, -0.09967587074928291, 0.3279792082189799, -0.07660145617779089, -0.07138206689835411, 0.21946971335333504, -0.20551413731120866, -0.08587758810170097, 0.17345998951629416, 0.15836323534891214, 0.07966024185459478, -0.11551521442932626, 0.13730460195802152, 0.047371726559653674, 0.20533584476742026, 0.024498011243899595, 0.03099535029917343, 0.25826177774124764, 0.20965961578672063, 0.05108757628915729, 0.18123578608087074, -0.086596455590876, -0.12583805056773636, -0.2694311490639636, -0.14386077420403287, -0.1835248851255603, 0.03605251122674305, -0.12798674049873338, -0.1733914779192985, 0.40045969463782766, 0.15407779772595698, 0.2564505238902487, 0.034892043645799876, 0.1894902843114448, 0.08329098043988829, 0.06598854150418958, 0.06752795026931044, 0.20700392711984172, 0.18211084690378748, 0.14163581466889136, -0.2097461041627605, -0.008974226791258545, -0.009101695263094893] |
710.1342 | Marginal Deformations as Lower Dimensional D-brane Solutions in Open
String Field theory | By direct calculation we showed that a finite analytic solution for marginal
deformation of open string field theory, by a matter primary operator with
singular OPE, can be obtained to all orders in the deformation parameter. In
particular, we obtained solutions that describe lower dimensional D-branes and
our results agree with the results obtained when the same problem is treated in
the world-sheet conformal field theory language.
| hep-th | by direct calculation we showed that a finite analytic solution for marginal deformation of open string field theory by a matter primary operator with singular ope can be obtained to all orders in the deformation parameter in particular we obtained solutions that describe lower dimensional dbranes and our results agree with the results obtained when the same problem is treated in the worldsheet conformal field theory language | [['by', 'direct', 'calculation', 'we', 'showed', 'that', 'a', 'finite', 'analytic', 'solution', 'for', 'marginal', 'deformation', 'of', 'open', 'string', 'field', 'theory', 'by', 'a', 'matter', 'primary', 'operator', 'with', 'singular', 'ope', 'can', 'be', 'obtained', 'to', 'all', 'orders', 'in', 'the', 'deformation', 'parameter', 'in', 'particular', 'we', 'obtained', 'solutions', 'that', 'describe', 'lower', 'dimensional', 'dbranes', 'and', 'our', 'results', 'agree', 'with', 'the', 'results', 'obtained', 'when', 'the', 'same', 'problem', 'is', 'treated', 'in', 'the', 'worldsheet', 'conformal', 'field', 'theory', 'language']] | [-0.10440625112031156, 0.12426711447926155, -0.0783939143058969, 0.07217290580668834, -0.05176353017424247, -0.12075375266539962, -0.014605663622965786, 0.33216754358206224, -0.21773714766795957, -0.22912833884136, 0.09754543186950762, -0.25140481583996493, -0.1628922827458426, 0.1951331909217719, -0.052558569181988486, 0.052010906846332014, 0.07001241112350305, 0.07430407805229301, -0.10076334436576981, -0.2663001463706814, 0.34395659232595516, -0.006300727878488711, 0.24935006632455695, 0.06324164274690756, 0.0770719551008695, 0.026085312325340598, -0.02228527500836262, 0.0932450653748837, -0.17617508189847395, 0.1328034292013426, 0.3041289510455594, 0.06332520594292168, 0.1487763704759861, -0.45866478960127083, -0.24323043075682066, 0.021415302279725004, 0.14946826968216964, 0.1424811239173608, -0.031111655350246313, -0.27457167929622217, 0.1260191093567314, -0.1678656352572699, -0.18023740363988414, -0.10554445769860228, -0.02026678625591544, -0.052315645587088455, -0.27056708452187533, 0.07443353929904414, 0.02824377288013252, 0.03814951570899184, -0.13756542425574875, -0.10670967978328022, -0.015060932955829732, 0.08898660660688348, 0.12808135482343608, 0.09832671056710073, 0.10227350623749976, -0.17206575109333638, -0.13242602239905008, 0.32004250935278833, -0.11931904607605356, -0.23620836930210465, 0.12496138769271437, -0.17531757816366517, -0.13460932735965322, 0.0971822973806411, 0.04981548504890012, 0.14198528021685222, -0.11920951531766462, 0.20835016256306016, -0.050292907859574056, 0.13062195950222494, 0.09710937322972259, -0.0324749510679672, 0.17437221237750195, 0.0871099509201499, 0.04293586883638332, 0.13256072338302133, 0.026718066762020782, -0.13967658108823114, -0.3739880107676805, -0.11353552789052031, -0.16082309289147326, 0.08029215701563812, -0.15297098631328562, -0.17442009186566765, 0.3495798096227557, 0.1066854364260833, 0.20462980010171436, 0.06252347719647101, 0.24562786964338218, 0.17610504819643197, 0.05388099098327889, 0.05223196423473531, 0.24530722129457533, 0.15093512986369653, 0.03728292905204276, -0.20573979088647373, -0.08455453289728333, 0.1651444289861108] |
710.1343 | Dimension Reduction for the Hyperbolic Space | A dimension reduction for the hyperbolic space is established. When points
are far apart an embedding with bounded distortion into the hyperbolic plane is
achieved.
| math.MG | a dimension reduction for the hyperbolic space is established when points are far apart an embedding with bounded distortion into the hyperbolic plane is achieved | [['a', 'dimension', 'reduction', 'for', 'the', 'hyperbolic', 'space', 'is', 'established', 'when', 'points', 'are', 'far', 'apart', 'an', 'embedding', 'with', 'bounded', 'distortion', 'into', 'the', 'hyperbolic', 'plane', 'is', 'achieved']] | [-0.16107175409793853, 0.13356260998698416, -0.0017388474009931087, 0.057898882525041696, -0.11211791737005114, -0.10929293109104038, -0.0005038079619407654, 0.3486510707437992, -0.3364689952135086, -0.17994619704782963, 0.16160979345440865, -0.36300888877362014, -0.09547394618391991, 0.2736142261326313, -0.10000147458165884, 0.009801362939178944, 0.012941331826150418, 0.06704506173729896, -0.1124509371817112, -0.28605615548789504, 0.3520884173363447, -0.05651101280003786, 0.2640265326201916, 0.015377637781202793, 0.1766331396996975, -0.006597490422427655, 0.04972138684242964, 0.09789271989720874, -0.13606834661215544, 0.12638017162680626, 0.2528508011996746, 0.07156252783723176, 0.2190395455621183, -0.29713925302028654, -0.3099199271202087, 0.12850452478975058, 0.18340935869142413, 0.07727584838867188, -0.07873671152628958, -0.3070240467786789, 0.10727991728112102, 0.009354252815246582, -0.19940047847107054, -0.04718655256554485, 0.01707234187051654, -0.09215384244918823, -0.25802757710218427, -0.05270141430199146, 0.1614037761837244, 0.12815868407487868, -0.04246521292254329, -0.08941450677812099, -0.07917499743402004, 0.14360799347166903, 0.0021370368264615534, 0.1327099484577775, 0.04656536817550659, -0.023552948795258998, -0.0581303783506155, 0.4083650732971728, 0.006625630315393209, -0.31692525759339335, 0.12733834009617567, -0.13583346776664257, -0.06115757273510099, 0.2317649692296982, 0.14855776950716973, 0.03820343291386962, -0.07185564737126697, 0.21664203613996505, -0.04911580625921488, 0.17717684004455805, 0.11343599086627364, -0.0017430227994918823, 0.09140305399894715, 0.18287665138952433, 0.19626033931970596, 0.17990385815501214, -0.05145651750266552, -0.1172741885483265, -0.2769009029865265, -0.12355782892554998, -0.2319764384860173, 0.069822095669806, -0.14064526056870819, -0.1741164991259575, 0.28296449592337014, -0.09015055317431689, 0.23506939977407457, 0.09652832765132188, 0.31935603797435763, 0.16954464288894086, 0.051457011476159095, 0.10292486220598221, 0.2884538158401847, 0.06283079966902733, -0.028064908385276796, -0.07925306644290686, -0.007855862369760871, 0.1712299174274085] |
710.1344 | Decoherence rates for Galilean covariant dynamics | We introduce a measure of decoherence for a class of density operators. For
Gaussian density operators in dimension one it coincides with an index used by
Morikawa (1990). Spatial decoherence rates are derived for three large classes
of the Galilean covariant quantum semigroups introduced by Holevo. We also
characterize the relaxation to a Gaussian state for these dynamics and give a
theorem for the convergence of the Wigner function to the probability
distribution of the classical analog of the process.
| math-ph math.MP | we introduce a measure of decoherence for a class of density operators for gaussian density operators in dimension one it coincides with an index used by morikawa 1990 spatial decoherence rates are derived for three large classes of the galilean covariant quantum semigroups introduced by holevo we also characterize the relaxation to a gaussian state for these dynamics and give a theorem for the convergence of the wigner function to the probability distribution of the classical analog of the process | [['we', 'introduce', 'a', 'measure', 'of', 'decoherence', 'for', 'a', 'class', 'of', 'density', 'operators', 'for', 'gaussian', 'density', 'operators', 'in', 'dimension', 'one', 'it', 'coincides', 'with', 'an', 'index', 'used', 'by', 'morikawa', '1990', 'spatial', 'decoherence', 'rates', 'are', 'derived', 'for', 'three', 'large', 'classes', 'of', 'the', 'galilean', 'covariant', 'quantum', 'semigroups', 'introduced', 'by', 'holevo', 'we', 'also', 'characterize', 'the', 'relaxation', 'to', 'a', 'gaussian', 'state', 'for', 'these', 'dynamics', 'and', 'give', 'a', 'theorem', 'for', 'the', 'convergence', 'of', 'the', 'wigner', 'function', 'to', 'the', 'probability', 'distribution', 'of', 'the', 'classical', 'analog', 'of', 'the', 'process']] | [-0.09154187724925578, 0.14938321485697087, -0.10223923737648874, 0.12142637495792315, 0.02637470609770389, -0.09539395651081577, 0.027671233573346398, 0.3153064802259905, -0.2677246812963858, -0.21418974060798063, 0.08666551978967618, -0.236015584517736, -0.12486023791134357, 0.1972190545522608, -0.07208061211276799, 0.12027763502337621, -0.021137024005292916, 0.05651340901385993, -0.09954752071062103, -0.22067189568042522, 0.3732272842898965, 0.05185388515674276, 0.2708235619706102, 0.010240571951726452, 0.12250636622775346, 0.036360030516516414, -0.02929041403112933, -0.03243194606620818, -0.164839547208976, 0.1298862299299799, 0.21444734474644064, 0.13166723887698026, 0.2678996046539396, -0.36357824695296587, -0.23587247268878855, 0.12405231942248066, 0.05701619042083621, 0.10381662321451586, -0.030631709052249788, -0.31449822278518696, 0.056984566431492564, -0.18657087053288707, -0.1818820334650809, -0.09644795749336481, 0.04707726985216141, 0.0045432084065396335, -0.29781597800320014, 0.12612923892993422, 0.10787229700072203, 0.02858254889724776, -0.0371316913398914, -0.08489655778976157, 0.02747200719313696, 0.09997883530741092, -0.019081553083742618, -0.016261259565362708, 0.10912006106664193, -0.10277699251601007, -0.15699426420032978, 0.3097996501310263, -0.10329588658642024, -0.24542415741016158, 0.156635409485898, -0.1518514738418162, -0.12429213763098232, 0.10947845288319513, 0.13993143745465203, 0.11420236133271829, -0.16549482172122226, 0.10394811470105196, -0.033586984561407005, 0.1004258413799107, 0.06954431653139181, 0.10417158231139183, 0.12147463189903647, 0.07318196186679415, 0.12061283200746402, 0.18353360219625756, -0.08517589872863027, -0.14270666873198934, -0.31875926967477425, -0.19890414767432957, -0.22175480383448304, 0.10151811201358214, -0.10174839091469039, -0.1610284139518626, 0.39809333998709917, 0.10301331965238206, 0.1808029981213622, 0.12335717502282932, 0.22290739895834122, 0.19731277043465525, 0.03686084537912393, 0.07642603403073736, 0.17393558498006315, 0.23801043478015343, 0.047662196859891995, -0.21338286309037358, 0.03355854976689443, 0.12162202259642071] |
710.1345 | GHASP : an H alpha kinematic survey of spiral and irregular galaxies. V.
Dark matter distribution in 36 nearby spiral galaxies | The results obtained from a study of the mass distribution of 36 spiral
galaxies are presented. The galaxies were observed using Fabry-Perot
interferometry as part of the GHASP survey. The main aim of obtaining high
resolution H alpha 2D velocity fields is to define more accurately the rising
part of the rotation curves which should allow to better constrain the
parameters of the mass distribution. The H alpha velocities were combined with
low resolution HI data from the literature, when available. Combining the
kinematical data with photometric data, mass models were derived from these
rotation curves using two different functional forms for the halo: an
isothermal sphere and an NFW profile. For the galaxies already modeled by other
authors, the results tend to agree. Our results point at the existence of a
constant density core in the center of the dark matter halos rather than a
cuspy core, whatever the type of the galaxy from Sab to Im. This extends to all
types the result already obtained by other authors studying dwarf and LSB
galaxies but would necessitate a larger sample of galaxies to conclude more
strongly. Whatever model is used (ISO or NFW), small core radius halos have
higher central densities, again for all morphological types. We confirm
different halo scaling laws, such as the correlations between the core radius
and the central density of the halo with the absolute magnitude of a galaxy:
low luminosity galaxies have small core radius and high central density. We
find that the product of the central density with the core radius of the dark
matter halo is nearly constant, whatever the model and whatever the absolute
magnitude of the galaxy. This suggests that the halo surface density is
independent from the galaxy type.
| astro-ph | the results obtained from a study of the mass distribution of 36 spiral galaxies are presented the galaxies were observed using fabryperot interferometry as part of the ghasp survey the main aim of obtaining high resolution h alpha 2d velocity fields is to define more accurately the rising part of the rotation curves which should allow to better constrain the parameters of the mass distribution the h alpha velocities were combined with low resolution hi data from the literature when available combining the kinematical data with photometric data mass models were derived from these rotation curves using two different functional forms for the halo an isothermal sphere and an nfw profile for the galaxies already modeled by other authors the results tend to agree our results point at the existence of a constant density core in the center of the dark matter halos rather than a cuspy core whatever the type of the galaxy from sab to im this extends to all types the result already obtained by other authors studying dwarf and lsb galaxies but would necessitate a larger sample of galaxies to conclude more strongly whatever model is used iso or nfw small core radius halos have higher central densities again for all morphological types we confirm different halo scaling laws such as the correlations between the core radius and the central density of the halo with the absolute magnitude of a galaxy low luminosity galaxies have small core radius and high central density we find that the product of the central density with the core radius of the dark matter halo is nearly constant whatever the model and whatever the absolute magnitude of the galaxy this suggests that the halo surface density is independent from the galaxy type | [['the', 'results', 'obtained', 'from', 'a', 'study', 'of', 'the', 'mass', 'distribution', 'of', '36', 'spiral', 'galaxies', 'are', 'presented', 'the', 'galaxies', 'were', 'observed', 'using', 'fabryperot', 'interferometry', 'as', 'part', 'of', 'the', 'ghasp', 'survey', 'the', 'main', 'aim', 'of', 'obtaining', 'high', 'resolution', 'h', 'alpha', '2d', 'velocity', 'fields', 'is', 'to', 'define', 'more', 'accurately', 'the', 'rising', 'part', 'of', 'the', 'rotation', 'curves', 'which', 'should', 'allow', 'to', 'better', 'constrain', 'the', 'parameters', 'of', 'the', 'mass', 'distribution', 'the', 'h', 'alpha', 'velocities', 'were', 'combined', 'with', 'low', 'resolution', 'hi', 'data', 'from', 'the', 'literature', 'when', 'available', 'combining', 'the', 'kinematical', 'data', 'with', 'photometric', 'data', 'mass', 'models', 'were', 'derived', 'from', 'these', 'rotation', 'curves', 'using', 'two', 'different', 'functional', 'forms', 'for', 'the', 'halo', 'an', 'isothermal', 'sphere', 'and', 'an', 'nfw', 'profile', 'for', 'the', 'galaxies', 'already', 'modeled', 'by', 'other', 'authors', 'the', 'results', 'tend', 'to', 'agree', 'our', 'results', 'point', 'at', 'the', 'existence', 'of', 'a', 'constant', 'density', 'core', 'in', 'the', 'center', 'of', 'the', 'dark', 'matter', 'halos', 'rather', 'than', 'a', 'cuspy', 'core', 'whatever', 'the', 'type', 'of', 'the', 'galaxy', 'from', 'sab', 'to', 'im', 'this', 'extends', 'to', 'all', 'types', 'the', 'result', 'already', 'obtained', 'by', 'other', 'authors', 'studying', 'dwarf', 'and', 'lsb', 'galaxies', 'but', 'would', 'necessitate', 'a', 'larger', 'sample', 'of', 'galaxies', 'to', 'conclude', 'more', 'strongly', 'whatever', 'model', 'is', 'used', 'iso', 'or', 'nfw', 'small', 'core', 'radius', 'halos', 'have', 'higher', 'central', 'densities', 'again', 'for', 'all', 'morphological', 'types', 'we', 'confirm', 'different', 'halo', 'scaling', 'laws', 'such', 'as', 'the', 'correlations', 'between', 'the', 'core', 'radius', 'and', 'the', 'central', 'density', 'of', 'the', 'halo', 'with', 'the', 'absolute', 'magnitude', 'of', 'a', 'galaxy', 'low', 'luminosity', 'galaxies', 'have', 'small', 'core', 'radius', 'and', 'high', 'central', 'density', 'we', 'find', 'that', 'the', 'product', 'of', 'the', 'central', 'density', 'with', 'the', 'core', 'radius', 'of', 'the', 'dark', 'matter', 'halo', 'is', 'nearly', 'constant', 'whatever', 'the', 'model', 'and', 'whatever', 'the', 'absolute', 'magnitude', 'of', 'the', 'galaxy', 'this', 'suggests', 'that', 'the', 'halo', 'surface', 'density', 'is', 'independent', 'from', 'the', 'galaxy', 'type']] | [-0.06434901668834164, 0.07764565866991407, -0.11462309399197243, 0.09693564693251452, -0.08022381152311192, -0.0503307841734199, -0.0029291116642122415, 0.36930623744643226, -0.1634280675657324, -0.37162388171168537, 0.06342970771047757, -0.28173070239972103, -0.0021546830581597137, 0.1952498390209698, -0.007587381384153034, 0.011639663964810804, 0.007253427379300555, -0.01591486155849168, -0.08091379671167147, -0.25929168707937567, 0.35427101024288904, 0.06800187968479347, 0.21306215666388115, -0.04920433198031409, 0.04120369589946767, -0.05238960048222204, -0.08498819001479861, 0.008244023405501932, -0.18397112600242319, 0.0705135475639718, 0.21014648375175246, 0.10808056308096295, 0.2130443252194225, -0.37243338050852315, -0.2093129943499399, 0.08680390801418356, 0.1693377141233476, 0.06504150959095019, -0.0694382809958848, -0.2705256688293338, 0.0902352969275581, -0.19112233170572207, -0.20134554196891608, 0.03982802058643697, 0.03548565948273206, 0.07817280147891953, -0.19703045613420456, 0.1677170941995015, 0.02958486965878249, 0.052624111521438637, -0.09145533579123236, -0.15826011878435092, -0.07227641127161887, 0.09508522409560476, 0.033775286526976096, 0.04787122017441516, 0.21372859491894655, -0.15366031059073573, 0.013863883382893613, 0.3976219136386316, -0.07372701847614742, -0.05103274675796634, 0.21750067626694186, -0.2122873401947806, -0.12588230341263243, 0.10463131176463018, 0.12514193695121767, 0.0700968200568097, -0.1197874907469093, 0.030264315888272834, -0.04808445794778297, 0.22048943816923017, 0.045177771817073484, -0.0059854403533012674, 0.290567631063554, 0.08667517453352072, 0.08101728245219107, 0.058595659571725404, -0.17408797564465053, -0.04026685130247955, -0.2667829650598242, -0.10773718744017106, -0.16776290980545336, 0.026461951751453976, -0.15339720152018238, -0.10984737873621464, 0.34928480454454924, 0.09216241129910849, 0.26050724036978795, 0.08504747166626372, 0.3105522763564914, 0.1037746197123983, 0.13726777462784803, 0.09538366605409283, 0.2783423069899716, 0.1802284078891757, 0.05698113625427497, -0.2205313706380088, 0.03961090516231801, -0.0017460293442177301] |
710.1346 | On the Limiting Empirical Measure of the sum of rank one matrices with
log-concave distribution | We consider $n\times n$ real symmetric and hermitian random matrices
$H_{n,m}$ equals the sum of a non-random matrix $H_{n}^{(0)}$ matrix and the
sum of $m$ rank-one matrices determined by $m$ i.i.d. isotropic random vectors
with log-concave probability law and i.i.d. random amplitudes $\{\tau_{\alpha
}\}_{\alpha =1}^{m}$. This is a generalization of the case of vectors uniformly
distributed over the unit sphere, studied in [Marchenko-Pastur (1967)]. We
prove that if $n\to \infty, m\to \infty, m/n\to c\in \lbrack 0,\infty)$ and
that the empirical eigenvalue measure of $H_{n}^{(0)}$ converges weakly, then
the empirical eigenvalue measure of $H_{n,m}$ converges in probability to a
non-random limit, found in [Marchenko-Pastur (1967)].
| math.PR math.SP | we consider ntimes n real symmetric and hermitian random matrices h_nm equals the sum of a nonrandom matrix h_n0 matrix and the sum of m rankone matrices determined by m iid isotropic random vectors with logconcave probability law and iid random amplitudes tau_alpha _alpha 1m this is a generalization of the case of vectors uniformly distributed over the unit sphere studied in marchenkopastur 1967 we prove that if nto infty mto infty mnto cin lbrack 0infty and that the empirical eigenvalue measure of h_n0 converges weakly then the empirical eigenvalue measure of h_nm converges in probability to a nonrandom limit found in marchenkopastur 1967 | [['we', 'consider', 'ntimes', 'n', 'real', 'symmetric', 'and', 'hermitian', 'random', 'matrices', 'h_nm', 'equals', 'the', 'sum', 'of', 'a', 'nonrandom', 'matrix', 'h_n0', 'matrix', 'and', 'the', 'sum', 'of', 'm', 'rankone', 'matrices', 'determined', 'by', 'm', 'iid', 'isotropic', 'random', 'vectors', 'with', 'logconcave', 'probability', 'law', 'and', 'iid', 'random', 'amplitudes', 'tau_alpha', '_alpha', '1m', 'this', 'is', 'a', 'generalization', 'of', 'the', 'case', 'of', 'vectors', 'uniformly', 'distributed', 'over', 'the', 'unit', 'sphere', 'studied', 'in', 'marchenkopastur', '1967', 'we', 'prove', 'that', 'if', 'nto', 'infty', 'mto', 'infty', 'mnto', 'cin', 'lbrack', '0infty', 'and', 'that', 'the', 'empirical', 'eigenvalue', 'measure', 'of', 'h_n0', 'converges', 'weakly', 'then', 'the', 'empirical', 'eigenvalue', 'measure', 'of', 'h_nm', 'converges', 'in', 'probability', 'to', 'a', 'nonrandom', 'limit', 'found', 'in', 'marchenkopastur', '1967']] | [-0.144910518411332, 0.17963373355227163, -0.022003171371090084, 0.03480112759056143, 0.06313664331817283, -0.16609776038519788, 0.06137548711222525, 0.3638803555379407, -0.2922461455902801, -0.07401243240859073, 0.07345280618923986, -0.37582715106411624, -0.18470754426492092, 0.04151934595546873, -0.08933211756923881, 0.10116312453577009, 0.024814420899089713, 0.10667661856412171, -0.07654156076023355, -0.2648094035080598, 0.2752384043202395, -0.03143244188350554, 0.25736099609639496, -0.05574895798837623, 0.12062815121428755, 0.060049370531207666, -0.019437866339173455, -0.06144568737811194, -0.14364003994160157, 0.008349155089280639, 0.23415678361645684, 0.11244703894548226, 0.27111908700317144, -0.29777034988197, -0.09283542380524942, 0.28175513725727797, 0.17737031820266005, -0.1389020680843924, 0.05828564259102747, -0.28529382208496545, 0.14122472611443998, -0.1347836256788399, -0.19331565533334819, -0.014769085705316124, 0.1192349650664255, 0.07362643612297969, -0.42820944930784977, 0.0962265620339447, 0.1303767336805602, 0.0001421518442769481, -0.009813674031577718, -0.25261895976459176, 0.0418953966223993, 0.07047255474697942, 0.04664526377522494, 0.054484338741391324, 0.12242476568700603, 0.05378486284350332, -0.037657370384504944, 0.33657217054189037, -0.12619125050976157, -0.27798275806792216, 0.035035390191926405, -0.2288999778818554, -0.13526683641024506, 0.08580068812275735, 0.12141663625908013, 0.13523884015215187, -0.07902016083803923, 0.26502210755447425, -0.18831521465192333, 0.11706514181815482, 0.10960154260437076, -0.016403947905368674, 0.08802627358370675, 0.03207305529101107, 0.1557002214428324, 0.11579464543879461, -0.01576543357133722, -0.12249085014096076, -0.27972534033828056, -0.14261695098740837, -0.3678553973843988, 0.2516588416004267, -0.23481729363321882, -0.21202019660939606, 0.26464905665488914, 0.03501600749754848, 0.2363362906079811, 0.24573225480540153, 0.17915996259006745, 0.14420055010570929, -0.0891567599946239, 0.11201186020312329, 0.03572161207109904, 0.2883934025639274, 0.04892354318312405, -0.11649872898907723, -0.0007370454259216785, 0.1419661516825167] |
710.1347 | The asymptotic Tian-Yau-Zelditch expansion on Riemann surfaces with
Constant Curvature | Let $M$ be a regular Riemann surface with a metric which has constant scalar
curvature $\rho$. We give the asymptotic expansion of the sum of the square
norm of the sections of the pluricanonical bundles $K_{M}^{m}$. That is,
\[\sum_{i=0}^{d_{m}-1}\|S_{i}(x_{0})\|_{h_{m}}^{2} \sim m(1+\frac{\rho}{2
m})+O(e^{-\frac{(\log m)^{2}}{8}}),\] where $\{S_{0},...,S_{d_{m}-1}\}$ is an
orthonormal basis for $H^{0}(M, K_{M}^{m})$ for sufficiently large $m$.
| math.DG | let m be a regular riemann surface with a metric which has constant scalar curvature rho we give the asymptotic expansion of the sum of the square norm of the sections of the pluricanonical bundles k_mm that is sum_i0d_m1s_ix_0_h_m2 sim m1fracrho2 moefraclog m28 where s_0s_d_m1 is an orthonormal basis for h0m k_mm for sufficiently large m | [['let', 'm', 'be', 'a', 'regular', 'riemann', 'surface', 'with', 'a', 'metric', 'which', 'has', 'constant', 'scalar', 'curvature', 'rho', 'we', 'give', 'the', 'asymptotic', 'expansion', 'of', 'the', 'sum', 'of', 'the', 'square', 'norm', 'of', 'the', 'sections', 'of', 'the', 'pluricanonical', 'bundles', 'k_mm', 'that', 'is', 'sum_i0d_m1s_ix_0_h_m2', 'sim', 'm1fracrho2', 'moefraclog', 'm28', 'where', 's_0s_d_m1', 'is', 'an', 'orthonormal', 'basis', 'for', 'h0m', 'k_mm', 'for', 'sufficiently', 'large', 'm']] | [-0.20764821810343376, 0.14229886350361853, -0.09433629392935053, 0.0008513840998952779, -0.07082519875481151, -0.12542664365341458, -0.06223826740796749, 0.29695371233929807, -0.21543593976933223, -0.19187366496771574, 0.11400279840633559, -0.27660845628438085, -0.10386955367777354, 0.1473539125514575, -0.028656697402206752, -0.01633969140955462, 0.03989094356970432, 0.14318222921484938, -0.08963873851238392, -0.2754925621601825, 0.37026627759377545, 0.026141965717005614, 0.15425371887305608, 0.07153301023824427, 0.11805556103802071, -0.020106536846679565, 0.04773937253496395, -0.004303553486421991, -0.1764886163477618, 0.13132016520159176, 0.24298266893646753, 0.10430390147778851, 0.24176141565952164, -0.33043828970179534, -0.13994723711556828, 0.20080050356829396, 0.1303905620633696, -0.07653583803151448, 0.01713404428357115, -0.23842373772416836, 0.12621249386575073, -0.1217341276530463, -0.16140242341834193, -0.0724974318425386, 0.11919874171368204, 0.02079054130277095, -0.3263442792858069, 0.05134748413155858, 0.04154510606223574, 0.0666524907753158, -0.06749202388499935, -0.1639854787096668, -0.03739626132524931, 0.03684758643906277, 0.047658265416080564, 0.13839574183265752, 0.053695715605639495, -0.07152862087465249, -0.009785245595804345, 0.35493863982936513, -0.16963189435549653, -0.2431265851482749, 0.031426601514864996, -0.19649356454969025, -0.0697681340478504, 0.13740896014496684, 0.13902694848366082, 0.1818679144176153, -0.028317909598207243, 0.21425185108987185, -0.13092847533810598, 0.13068875960575846, 0.09205556924168307, 0.0009228443601526893, 0.17854289436497942, 0.10293342843383121, 0.11841240484052552, 0.07323771820609601, -0.10876245882648689, -0.0005653684672254783, -0.3805648844617491, -0.22449383608405837, -0.20019870536186948, 0.21223922313835758, -0.20487864999673688, -0.22919467425135037, 0.3270845709798428, -0.05740829762250472, 0.24346685299399093, 0.14563378081164466, 0.223223140463233, 0.1096970399376005, 0.06475708277699035, 0.11091318389830682, 0.18830803262356383, 0.23367096541019586, -0.027918759608068146, -0.14316409272858158, -0.027702460584875483, 0.15498826634855226] |
710.1348 | Two-step Quantum Key Distribution Schemes Using Polarization and
Frequency Doubly Entangled Photons | A two-step quantum key distribution protocol using frequency and polarization
doubly entangled photons is proposed. In this protocol, information is encoded
by a unitary operation on each of the two doubly entangled photons and sent
from Alice to Bob in two steps. State measurement device is designed. The
security of the communication is analyzed.
| quant-ph | a twostep quantum key distribution protocol using frequency and polarization doubly entangled photons is proposed in this protocol information is encoded by a unitary operation on each of the two doubly entangled photons and sent from alice to bob in two steps state measurement device is designed the security of the communication is analyzed | [['a', 'twostep', 'quantum', 'key', 'distribution', 'protocol', 'using', 'frequency', 'and', 'polarization', 'doubly', 'entangled', 'photons', 'is', 'proposed', 'in', 'this', 'protocol', 'information', 'is', 'encoded', 'by', 'a', 'unitary', 'operation', 'on', 'each', 'of', 'the', 'two', 'doubly', 'entangled', 'photons', 'and', 'sent', 'from', 'alice', 'to', 'bob', 'in', 'two', 'steps', 'state', 'measurement', 'device', 'is', 'designed', 'the', 'security', 'of', 'the', 'communication', 'is', 'analyzed']] | [-0.20144635190997548, 0.20080943793679276, -0.11617274641024845, -0.010735293542017677, 0.0550376930170589, -0.31803939810574605, 0.07531132045874579, 0.3958675083186891, -0.26646737312829055, -0.2514448937511555, 0.04325782588286394, -0.3009914371564432, -0.020030911906225676, 0.1591965489572397, -0.06379134740887417, 0.13840223697372023, 0.07897659630894109, 0.03967485431995657, 0.03696919015298287, -0.24172116684968825, 0.32443141343968884, 0.06046065688779992, 0.34941444677059297, -0.020245916451568955, 0.15191624487784725, 0.08460744929982832, -0.01915569206768716, -0.0986688991456672, -0.023859679379879876, 0.08889511501830485, 0.28307741919653145, 0.17923628722524476, 0.27290088935168805, -0.3742192381372054, -0.13602352478644913, 0.08397025954090404, 0.10982143583586784, 0.17141729351822976, -0.055763502340091184, -0.3605652095543014, 0.013475818749241255, -0.1918111392641785, -0.026292755958382732, -0.00367491250788724, -0.05005746876338014, -0.04845068814163959, -0.2637158861314809, -0.005196143234907477, 0.005748277775839799, -0.022424980929052388, 0.06877452874107769, 0.015105330281787448, -0.006531956484886231, 0.15588657477767104, -0.0830592133484229, 0.006703811389376858, 0.15636661972988536, -0.06626921274733764, -0.21123788742072605, 0.31752850149792655, -0.01712091401202121, -0.19620135506718522, 0.0759098147628484, -0.1195581989897484, -0.08938970603911137, 0.11328271371139972, 0.1667051730953433, 0.11121151391071854, -0.18046448962047212, -0.008140090475703968, -0.02073058636031217, 0.2665765672163279, 0.07239715105647014, 0.15426615511791575, 0.1655417149412204, 0.12991734464756316, 0.06131929438884577, 0.1841911381903898, -0.08103030262497703, -0.15492122973901806, -0.32849112608366543, -0.19674544178673792, -0.30443072224173834, 0.08171935222560057, -0.009231205839400732, 0.0005697121981669355, 0.43441986513358577, 0.08935271808877587, 0.1525259868810988, -0.05587098136958149, 0.42752493928290075, 0.05583428409536956, 0.041686013237469725, 0.10849216583840272, 0.2511790583462075, 0.1855498730696531, 0.08756695009112635, -0.2077984959706319, 0.1181692414123703, -0.00024056037956917726] |
710.1349 | Derivation of asymptotic two-dimensional time-dependent equations for
ocean wave propagation | A general method for the derivation of asymptotic nonlinear shallow water and
deep water models is presented. Starting from a general dimensionless version
of the water-wave equations, we reduce the problem to a system of two equations
on the surface elevation and the velocity potential at the free surface. These
equations involve a Dirichlet-Neumann operator and we show that all the
asymptotic models can be recovered by a simple asymptotic expansion of this
operator, in function of the shallowness parameter (shallow water limit) or the
steepness parameter (deep water limit). Based on this method, a new
two-dimensional fully dispersive model for small wave steepness is also
derived, which extends to uneven bottom the approach developed by Matsuno
\cite{matsuno3} and Choi \cite{choi}. This model is still valid in shallow
water but with less precision than what can be achieved with Green-Naghdi
model, when fully nonlinear waves are considered. The combination, or the
coupling, of the new fully dispersive equations with the fully nonlinear
shallow water Green-Naghdi equations represents a relevant model for describing
ocean wave propagation from deep to shallow waters.
| physics.ao-ph | a general method for the derivation of asymptotic nonlinear shallow water and deep water models is presented starting from a general dimensionless version of the waterwave equations we reduce the problem to a system of two equations on the surface elevation and the velocity potential at the free surface these equations involve a dirichletneumann operator and we show that all the asymptotic models can be recovered by a simple asymptotic expansion of this operator in function of the shallowness parameter shallow water limit or the steepness parameter deep water limit based on this method a new twodimensional fully dispersive model for small wave steepness is also derived which extends to uneven bottom the approach developed by matsuno citematsuno3 and choi citechoi this model is still valid in shallow water but with less precision than what can be achieved with greennaghdi model when fully nonlinear waves are considered the combination or the coupling of the new fully dispersive equations with the fully nonlinear shallow water greennaghdi equations represents a relevant model for describing ocean wave propagation from deep to shallow waters | [['a', 'general', 'method', 'for', 'the', 'derivation', 'of', 'asymptotic', 'nonlinear', 'shallow', 'water', 'and', 'deep', 'water', 'models', 'is', 'presented', 'starting', 'from', 'a', 'general', 'dimensionless', 'version', 'of', 'the', 'waterwave', 'equations', 'we', 'reduce', 'the', 'problem', 'to', 'a', 'system', 'of', 'two', 'equations', 'on', 'the', 'surface', 'elevation', 'and', 'the', 'velocity', 'potential', 'at', 'the', 'free', 'surface', 'these', 'equations', 'involve', 'a', 'dirichletneumann', 'operator', 'and', 'we', 'show', 'that', 'all', 'the', 'asymptotic', 'models', 'can', 'be', 'recovered', 'by', 'a', 'simple', 'asymptotic', 'expansion', 'of', 'this', 'operator', 'in', 'function', 'of', 'the', 'shallowness', 'parameter', 'shallow', 'water', 'limit', 'or', 'the', 'steepness', 'parameter', 'deep', 'water', 'limit', 'based', 'on', 'this', 'method', 'a', 'new', 'twodimensional', 'fully', 'dispersive', 'model', 'for', 'small', 'wave', 'steepness', 'is', 'also', 'derived', 'which', 'extends', 'to', 'uneven', 'bottom', 'the', 'approach', 'developed', 'by', 'matsuno', 'citematsuno3', 'and', 'choi', 'citechoi', 'this', 'model', 'is', 'still', 'valid', 'in', 'shallow', 'water', 'but', 'with', 'less', 'precision', 'than', 'what', 'can', 'be', 'achieved', 'with', 'greennaghdi', 'model', 'when', 'fully', 'nonlinear', 'waves', 'are', 'considered', 'the', 'combination', 'or', 'the', 'coupling', 'of', 'the', 'new', 'fully', 'dispersive', 'equations', 'with', 'the', 'fully', 'nonlinear', 'shallow', 'water', 'greennaghdi', 'equations', 'represents', 'a', 'relevant', 'model', 'for', 'describing', 'ocean', 'wave', 'propagation', 'from', 'deep', 'to', 'shallow', 'waters']] | [-0.0735081561841721, 0.08820504488100886, -0.06784017219379877, 0.06882642101959519, -0.07753884320683237, -0.14765327134788786, 0.008959920127361014, 0.29109216516566927, -0.2898829358905637, -0.26956809172146645, 0.11903444630114685, -0.2557754648859774, -0.17244032071383056, 0.1986523470269027, -0.011611777620504521, 0.09276715154608701, 0.07993465183724197, -0.02042552009979315, -0.06068220632488959, -0.18961398518129186, 0.31660035164121475, 0.013442068213275659, 0.25397054177797374, 0.060850404052053414, 0.13794344135003384, -0.025142694272259614, 0.0050387427200401964, 0.02039127025295403, -0.13109805953693635, 0.1147526861412331, 0.22415568005976003, 0.03939722657630314, 0.24327702661612013, -0.464708510520946, -0.3082551971967618, 0.03735782299450906, 0.12526088311108005, 0.1693313317522979, -0.0014532975157899731, -0.2873708139792834, 0.030261789496035925, -0.15522640103776028, -0.1784920707532314, -0.028320915055299937, -0.01743998717745589, 0.04559081783726312, -0.25906268960416484, 0.13552431004917295, 0.06507615995197948, 0.015068998233013262, -0.1045900404881868, -0.11940617158855493, -0.056428638770760105, 0.05218380621674096, -0.0002997784937768342, 0.017735714241946844, 0.06214474406686492, -0.17718426185639252, 0.03552292325851305, 0.3737523120583436, -0.16243436576464595, -0.2679769468686268, 0.18681700829437325, -0.11595038625111871, -0.07149784541662844, 0.15390366525519328, 0.19812968938335693, 0.13429977888938602, -0.18064281853690142, 0.07150366167569086, -0.05875189442108854, 0.17042793472448375, 0.06418776004080916, -0.040383215007039217, 0.19350759846850313, 0.22463925631180948, 0.07064979185750864, 0.1032419996271066, -0.08562306886247499, -0.08889994452390092, -0.28691412407551065, -0.12390133174521296, -0.13146322528641755, 0.020322436776874567, -0.08040469702217447, -0.18091924089480546, 0.3907069286654115, 0.12636181848467062, 0.1343877536853432, 0.09715407904739591, 0.2870733932014451, 0.19778757075409734, 0.06142938054848317, 0.09436070236413839, 0.2751677622706447, 0.1277823491950712, 0.12122542794674177, -0.20975187899383543, 0.044980405085829386, 0.12178453708629451] |
710.135 | On the Kirchheim-Magnani counterexample to metric differentiability | In this short note we give an interpretation of the Kirchheim-Magnani
counterexample to metric differentiability in terms of dilatation structures.
| math.MG | in this short note we give an interpretation of the kirchheimmagnani counterexample to metric differentiability in terms of dilatation structures | [['in', 'this', 'short', 'note', 'we', 'give', 'an', 'interpretation', 'of', 'the', 'kirchheimmagnani', 'counterexample', 'to', 'metric', 'differentiability', 'in', 'terms', 'of', 'dilatation', 'structures']] | [-0.19252031727841026, 0.01626990467852202, -0.0976422487905151, 0.11651859066669683, -0.09003141747885629, 0.017431819615395444, -0.041410880065278, 0.3814900062586132, -0.29896201428614166, -0.2341220660233184, 0.06037894015102402, -0.25699328729196597, -0.24675986092341573, 0.13384409993886948, -0.2268959258339907, -0.026301100850105286, 0.05784176623350695, 0.059464695226205025, -0.1267579281457553, -0.2796642388168134, 0.3489567347263035, 0.0891319298626561, 0.18401295118229954, 0.17566428059025815, 0.10681544577604846, -0.03249143684086831, -0.0020935850119904466, -0.03155041427204484, -0.21330979074302472, 0.18810764102167205, 0.22925746383292503, 0.14217052765582738, 0.2059120484872868, -0.41829484505088704, -0.10605620448232482, 0.14181163260026983, 0.09050808854303077, 0.09135390024044011, -0.016195344297509445, -0.25526134395285655, 0.07749976462831623, -0.15185692342684456, -0.1900431251055316, -0.10218528560117672, 0.061041109656032766, -0.0583198519521638, -0.16274376086106426, 0.08492757610388492, 0.2078916582425958, 0.14034542240398495, -0.09309570148195091, 0.01589033311527026, 0.09402360845553248, 0.03182016479733743, 0.11689993428483017, 0.07841768260358979, -0.032073783026518005, -0.09440594900546498, -0.14719312400312015, 0.33461788512374224, -0.10206809929130893, -0.25775269164066567, 0.16545957253363572, -0.14844854450539538, -0.1883170726267915, 0.0861900611535499, 0.15618096725819142, 0.14303648589473023, -0.17800315851835827, 0.1248398196246279, -0.058677429823498974, 0.11622411865544946, 0.141997318910925, 0.10762625952300273, 0.12204609860322978, 0.11270698380509489, 0.1304011068453914, 0.23096337836039693, 0.06419348589291698, -0.011753859880723451, -0.49300386168454824, -0.21344185286771358, -0.13371430160967926, 0.13516957254001968, -0.10542420984098785, -0.2730315393327098, 0.3984954354206198, 0.16721342366776967, 0.21128557191083305, 0.14428469837692223, 0.20997145262203717, 0.11399286076132405, 0.007756661231580533, 0.02948752817648806, 0.2025471259594748, 0.1542781512988241, 0.08645160523194231, -0.10957404853481996, 0.04933931722648834, 0.17922103434408965] |
710.1351 | Strong cosmic censorship for T^2-symmetric spacetimes with cosmological
constant and matter | We address the issue of strong cosmic censorship for T^2-symmetric spacetimes
with positive cosmological constant. In the case of collisionless matter, we
complete the proof of the C^2 formulation of the conjecture for this class of
spacetimes. In the vacuum case, we prove that the conjecture holds for the
special cases where the area element of the group orbits does not vanish on the
past boundary of the maximal Cauchy development.
| gr-qc math.AP math.DG | we address the issue of strong cosmic censorship for t2symmetric spacetimes with positive cosmological constant in the case of collisionless matter we complete the proof of the c2 formulation of the conjecture for this class of spacetimes in the vacuum case we prove that the conjecture holds for the special cases where the area element of the group orbits does not vanish on the past boundary of the maximal cauchy development | [['we', 'address', 'the', 'issue', 'of', 'strong', 'cosmic', 'censorship', 'for', 't2symmetric', 'spacetimes', 'with', 'positive', 'cosmological', 'constant', 'in', 'the', 'case', 'of', 'collisionless', 'matter', 'we', 'complete', 'the', 'proof', 'of', 'the', 'c2', 'formulation', 'of', 'the', 'conjecture', 'for', 'this', 'class', 'of', 'spacetimes', 'in', 'the', 'vacuum', 'case', 'we', 'prove', 'that', 'the', 'conjecture', 'holds', 'for', 'the', 'special', 'cases', 'where', 'the', 'area', 'element', 'of', 'the', 'group', 'orbits', 'does', 'not', 'vanish', 'on', 'the', 'past', 'boundary', 'of', 'the', 'maximal', 'cauchy', 'development']] | [-0.20811871634665088, 0.07039819436121575, -0.043510970436561276, 0.0724936931141534, -0.07079270221686489, -0.10577402961715845, -0.03611189087616726, 0.26942936472699675, -0.2005149366294729, -0.2160899898850582, 0.11120432092886891, -0.23953810973998002, -0.07768095327331356, 0.19659143413456392, -0.08735377843898366, 0.03997579094966952, 0.04371924990866805, 0.03855042305978303, -0.08069545062403129, -0.3063731768896515, 0.42988676567312695, 0.0212370507996267, 0.2593314616717923, 0.12719080456808, 0.09946068766539995, 0.022465563143118168, -0.019995270742916724, 0.03892308222902115, -0.19309494223719886, 0.06493875141744174, 0.22298100307373933, 0.13112311502328325, 0.25462083622336085, -0.4076852998893026, -0.2260541237864486, 0.18208993269576573, 0.12006415849105573, 0.13738242266568498, -0.06587956320907606, -0.25705897873005185, 0.1136337702595432, -0.13454777600479798, -0.23538233080065588, 0.012645855040984675, 0.026639727022971064, -0.04320860543931034, -0.2234116434381986, 0.12058616626325627, 0.1296504974155359, 0.007956183909005682, -0.12741630368301987, -0.03916177955049444, 0.028130511110517342, 0.09070520079366758, 0.13525088591842163, -0.004874275257797833, 0.055313168100120734, -0.145979750862109, -0.07445498757575914, 0.38504299085954546, -0.06877888096365291, -0.204565825439255, 0.11457406168698635, -0.2384388622053912, -0.2035775386702112, 0.06465701167438914, 0.12652201060546744, 0.19675220201500285, -0.05513862527014924, 0.21379871985179857, -0.11270476243963701, 0.08860135338151119, 0.11485019100593849, -0.004719881517943782, 0.21629247950835967, 0.07368250831987866, 0.11677896830049986, 0.10622432629879512, -0.02245398939416652, -0.07030598841391136, -0.412013816791521, -0.22360423116774206, -0.1541396064919905, 0.1029838956960126, -0.11617188871195408, -0.24615163550200597, 0.3464668656987938, 0.11839964623812219, 0.10058078903075256, 0.10632294441350329, 0.21408072391419974, 0.05311438146139115, 0.008121402327522216, 0.10329281917812538, 0.2762977091044607, 0.14098351297926315, 0.10336671674519148, -0.20627024997366775, 0.018845437953747074, 0.12509245411033781] |
710.1352 | NGC 346 in The Small Magellanic Cloud. IV. Triggered Star Formation in
the HII Region N66 | Stellar feedback, expanding HII regions, wind-blown bubbles, and supernovae
are thought to be important triggering mechanisms of star formation. Stellar
associations, being hosts of significant numbers of early-type stars, are the
loci where these mechanisms act. In this part of our photometric study of the
star-forming region NGC346/N66 in the Small Magellanic Cloud, we present
evidence based on previous and recent detailed studies, that it hosts at least
two different events of triggered star formation and we reveal the complexity
of its recent star formation history. In our earlier studies of this region
(Papers I, III) we find that besides the central part of N66, where the bright
OB stellar content of the association NGC346 is concentrated, an arc-like
nebular feature, north of the association, hosts recent star formation. This
feature is characterized by a high concentration of emission-line stars and
Young Stellar Objects, as well as embedded sources seen as IR-emission peaks
that coincide with young compact clusters of low-mass pre-main sequence stars.
All these objects indicate that the northern arc of N66 encompasses the most
current star formation event in the region. We present evidence that this star
formation is the product of a different mechanism than that in the general area
of the association, and that it is triggered by a wind-driven expanding HII
region (or bubble) blown by a massive supernova progenitor, and possibly other
bright stars, a few Myr ago. We propose a scenario according to which this
mechanism triggered star formation away from the bar of N66, while in the bar
of N66 star formation is introduced by the photo-ionizing OB stars of the
association itself.
| astro-ph | stellar feedback expanding hii regions windblown bubbles and supernovae are thought to be important triggering mechanisms of star formation stellar associations being hosts of significant numbers of earlytype stars are the loci where these mechanisms act in this part of our photometric study of the starforming region ngc346n66 in the small magellanic cloud we present evidence based on previous and recent detailed studies that it hosts at least two different events of triggered star formation and we reveal the complexity of its recent star formation history in our earlier studies of this region papers i iii we find that besides the central part of n66 where the bright ob stellar content of the association ngc346 is concentrated an arclike nebular feature north of the association hosts recent star formation this feature is characterized by a high concentration of emissionline stars and young stellar objects as well as embedded sources seen as iremission peaks that coincide with young compact clusters of lowmass premain sequence stars all these objects indicate that the northern arc of n66 encompasses the most current star formation event in the region we present evidence that this star formation is the product of a different mechanism than that in the general area of the association and that it is triggered by a winddriven expanding hii region or bubble blown by a massive supernova progenitor and possibly other bright stars a few myr ago we propose a scenario according to which this mechanism triggered star formation away from the bar of n66 while in the bar of n66 star formation is introduced by the photoionizing ob stars of the association itself | [['stellar', 'feedback', 'expanding', 'hii', 'regions', 'windblown', 'bubbles', 'and', 'supernovae', 'are', 'thought', 'to', 'be', 'important', 'triggering', 'mechanisms', 'of', 'star', 'formation', 'stellar', 'associations', 'being', 'hosts', 'of', 'significant', 'numbers', 'of', 'earlytype', 'stars', 'are', 'the', 'loci', 'where', 'these', 'mechanisms', 'act', 'in', 'this', 'part', 'of', 'our', 'photometric', 'study', 'of', 'the', 'starforming', 'region', 'ngc346n66', 'in', 'the', 'small', 'magellanic', 'cloud', 'we', 'present', 'evidence', 'based', 'on', 'previous', 'and', 'recent', 'detailed', 'studies', 'that', 'it', 'hosts', 'at', 'least', 'two', 'different', 'events', 'of', 'triggered', 'star', 'formation', 'and', 'we', 'reveal', 'the', 'complexity', 'of', 'its', 'recent', 'star', 'formation', 'history', 'in', 'our', 'earlier', 'studies', 'of', 'this', 'region', 'papers', 'i', 'iii', 'we', 'find', 'that', 'besides', 'the', 'central', 'part', 'of', 'n66', 'where', 'the', 'bright', 'ob', 'stellar', 'content', 'of', 'the', 'association', 'ngc346', 'is', 'concentrated', 'an', 'arclike', 'nebular', 'feature', 'north', 'of', 'the', 'association', 'hosts', 'recent', 'star', 'formation', 'this', 'feature', 'is', 'characterized', 'by', 'a', 'high', 'concentration', 'of', 'emissionline', 'stars', 'and', 'young', 'stellar', 'objects', 'as', 'well', 'as', 'embedded', 'sources', 'seen', 'as', 'iremission', 'peaks', 'that', 'coincide', 'with', 'young', 'compact', 'clusters', 'of', 'lowmass', 'premain', 'sequence', 'stars', 'all', 'these', 'objects', 'indicate', 'that', 'the', 'northern', 'arc', 'of', 'n66', 'encompasses', 'the', 'most', 'current', 'star', 'formation', 'event', 'in', 'the', 'region', 'we', 'present', 'evidence', 'that', 'this', 'star', 'formation', 'is', 'the', 'product', 'of', 'a', 'different', 'mechanism', 'than', 'that', 'in', 'the', 'general', 'area', 'of', 'the', 'association', 'and', 'that', 'it', 'is', 'triggered', 'by', 'a', 'winddriven', 'expanding', 'hii', 'region', 'or', 'bubble', 'blown', 'by', 'a', 'massive', 'supernova', 'progenitor', 'and', 'possibly', 'other', 'bright', 'stars', 'a', 'few', 'myr', 'ago', 'we', 'propose', 'a', 'scenario', 'according', 'to', 'which', 'this', 'mechanism', 'triggered', 'star', 'formation', 'away', 'from', 'the', 'bar', 'of', 'n66', 'while', 'in', 'the', 'bar', 'of', 'n66', 'star', 'formation', 'is', 'introduced', 'by', 'the', 'photoionizing', 'ob', 'stars', 'of', 'the', 'association', 'itself']] | [-0.10070632156803859, 0.11034790210957268, -0.05725026440254792, 0.09922532692068704, -0.1045366694156891, -0.014851522416359297, 0.08591298471955168, 0.40391494045378984, -0.15107802151469513, -0.31201320200192706, 0.0608209754120455, -0.2598470191436785, -0.06865785479528347, 0.15262909690004395, -0.048243853754684096, -0.11739151814275559, 0.10623397612168144, -0.04431761555477149, 0.022229979980598998, -0.28063217954011094, 0.3639568405087899, 0.07177235199207509, 0.13433284655868732, -0.025909511773001954, 0.027180446269577024, -0.1600582798253055, -0.09474064913530902, -0.043679614119146545, -0.15817257756315048, 0.0653246695147741, 0.23207067695378403, 0.17583737071707017, 0.24586944327499993, -0.3657927270633755, -0.25155551597062087, 0.0507139136273138, 0.24345197233768112, 0.018832764399876058, -0.15087523929196997, -0.2860202362105526, 0.09025125357460369, -0.22218745306470536, -0.16922969718601694, 0.11676700142453666, 0.06975887619234898, 0.04526503629413465, -0.2197544452420617, 0.15404639639762333, 0.04605307366431656, 0.08109665340571492, -0.09613428831540255, -0.06998627543302804, -0.0731916883037667, 0.09020555835234484, 0.030626201542542763, 0.11333444061671832, 0.18658065512189986, -0.17829542333794826, -0.05416578079090902, 0.3777556946065656, -0.01582045504496987, 0.018989307628254647, 0.294708274924455, -0.24219664163818513, -0.20618715211749078, 0.14562956429155613, 0.1348373400564823, 0.17537664477196005, -0.15506302341473877, -0.04131018301359964, -0.04220781411320247, 0.14597764191329823, 0.05248264884403734, 0.07737488853629286, 0.3511753345971185, 0.16894116384425648, 0.006066387429557465, 0.14396214217305425, -0.21568008516311507, -0.12058913846396738, -0.24578087430326612, -0.10659363037492665, -0.09239076148865193, 0.05229864967297073, -0.10688756676293755, -0.1325168718856865, 0.32539497007684853, 0.04521631580191078, 0.22277719874400645, -0.030551098269858846, 0.26589772440234405, 0.035677957862046444, 0.14697181422401356, 0.14429333622360396, 0.27875809340772256, 0.16274485154232632, 0.06746617673499579, -0.23869164491016245, 0.11207785340569293, 0.016968355464955998] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.