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 |
|---|---|---|---|---|---|---|
710.3953 | Strategy for early SUSY searches at ATLAS | The CERN Large Hadron Collider (LHC) is scheduled to commence operation in
2008 and inclusive searches for supersymmetry (SUSY) will be one of our primary
tasks in the first days of LHC operation. It is certain that the final state of
multijets + missing transverse energy will provide a superior performance in
SUSY searches. Strategies to understand the instrumental background and to
understand the Standard Model (SM) background are still under development and
are urgent issues for the coming data. We describe the strategy for early SUSY
searches at the ATLAS experiment using the fist data corresponding to an
integrated luminosity up to 1fb^-1, which comprises much progress in the
data-driven technique for the SM background estimations.
| hep-ex | the cern large hadron collider lhc is scheduled to commence operation in 2008 and inclusive searches for supersymmetry susy will be one of our primary tasks in the first days of lhc operation it is certain that the final state of multijets missing transverse energy will provide a superior performance in susy searches strategies to understand the instrumental background and to understand the standard model sm background are still under development and are urgent issues for the coming data we describe the strategy for early susy searches at the atlas experiment using the fist data corresponding to an integrated luminosity up to 1fb1 which comprises much progress in the datadriven technique for the sm background estimations | [['the', 'cern', 'large', 'hadron', 'collider', 'lhc', 'is', 'scheduled', 'to', 'commence', 'operation', 'in', '2008', 'and', 'inclusive', 'searches', 'for', 'supersymmetry', 'susy', 'will', 'be', 'one', 'of', 'our', 'primary', 'tasks', 'in', 'the', 'first', 'days', 'of', 'lhc', 'operation', 'it', 'is', 'certain', 'that', 'the', 'final', 'state', 'of', 'multijets', 'missing', 'transverse', 'energy', 'will', 'provide', 'a', 'superior', 'performance', 'in', 'susy', 'searches', 'strategies', 'to', 'understand', 'the', 'instrumental', 'background', 'and', 'to', 'understand', 'the', 'standard', 'model', 'sm', 'background', 'are', 'still', 'under', 'development', 'and', 'are', 'urgent', 'issues', 'for', 'the', 'coming', 'data', 'we', 'describe', 'the', 'strategy', 'for', 'early', 'susy', 'searches', 'at', 'the', 'atlas', 'experiment', 'using', 'the', 'fist', 'data', 'corresponding', 'to', 'an', 'integrated', 'luminosity', 'up', 'to', '1fb1', 'which', 'comprises', 'much', 'progress', 'in', 'the', 'datadriven', 'technique', 'for', 'the', 'sm', 'background', 'estimations']] | [-0.03812727331312309, 0.16465819574070087, -0.10880763702704732, 0.14595841175017493, -0.0970323470271602, -0.15439403511921007, -0.022748020533793444, 0.3552350218022435, -0.19148415569035368, -0.33789281135852495, 0.12415544927955188, -0.30786228485822936, 0.004185338506619607, 0.19463565773611632, -0.023344225796132254, 0.11021776035717078, 0.1371148541160249, -0.021235742993353755, -0.0429413480631975, -0.3005340169505056, 0.22156689632362847, 0.1588980660950444, 0.250703286283232, 0.048411318648441955, 0.06726382496156569, 0.01548876911843324, -0.07772968946313806, -0.0794478958815834, -0.09932007680574065, 0.10320467756637614, 0.33134018359424805, 0.17031481679015117, 0.17631719426797896, -0.3875300971598461, -0.10166319145756805, 0.16112693654702462, 0.10255152224723635, 0.09738657865392301, -0.06700767534544114, -0.29095984581890033, 0.12359870990872752, -0.19363826108646803, -0.10982024814162789, -0.06465945415527977, -0.023826406626351947, -0.1163434599494112, -0.30706616621143346, 0.027236137384596956, -0.03104747401285467, 0.031154931695521648, -0.013180936646551407, -0.16760384558362823, -0.029178558208514005, 0.048173055707091655, 0.11007084025788635, 0.041007142433578524, 0.16513325967665377, -0.20263528034235512, -0.2056620368444971, 0.3571635411634784, -0.024495532407007855, -0.11835508757664276, 0.20204087516196587, -0.16633335973039784, -0.1853268333880837, 0.16256127853331895, 0.2632912488429454, 0.02268196959128796, -0.2266720825854432, 0.12905429326377182, 0.04916437102706525, 0.15928460572492972, 0.030633979735661152, 0.051910807099594766, 0.24676088252755138, 0.278168396526498, 0.08524100895537513, 0.06261854156839726, -0.10927215714714136, -0.04825398933688371, -0.4256562480927798, -0.10271875036816144, -0.08006240513199812, 0.01827009741903347, 0.01038709493664571, -0.05510787042018411, 0.39267815720161486, 0.18250250670625345, 0.21624201964506687, 0.008254656561144531, 0.32377767933990226, 0.04566341301060988, 0.08142716029246443, 0.01833410178557548, 0.3233289204393353, 0.045618130369834475, 0.2093878056310069, -0.19917517676467783, -0.007028282298867045, 0.030077415036744083] |
710.3954 | Seiberg-Witten map for the 4D noncommutative BF theory | We describe the Seiberg-Witten map for the 4D noncommutative BF theory
(NCBF). We establish the existence of a map taking the abelian NCBF into its
commutative version, in agreement with the hypothesis that such maps are
available for any noncommutative theory with Schwarz type topological sectors.
| hep-th | we describe the seibergwitten map for the 4d noncommutative bf theory ncbf we establish the existence of a map taking the abelian ncbf into its commutative version in agreement with the hypothesis that such maps are available for any noncommutative theory with schwarz type topological sectors | [['we', 'describe', 'the', 'seibergwitten', 'map', 'for', 'the', '4d', 'noncommutative', 'bf', 'theory', 'ncbf', 'we', 'establish', 'the', 'existence', 'of', 'a', 'map', 'taking', 'the', 'abelian', 'ncbf', 'into', 'its', 'commutative', 'version', 'in', 'agreement', 'with', 'the', 'hypothesis', 'that', 'such', 'maps', 'are', 'available', 'for', 'any', 'noncommutative', 'theory', 'with', 'schwarz', 'type', 'topological', 'sectors']] | [-0.1317146166270091, 0.06048595871437679, -0.1038369029675695, 0.12022807931696827, -0.0367915672250092, -0.15453057759441435, -0.03123157319549302, 0.3014483878981661, -0.29819784783334896, -0.2072108210572465, 0.10488742007609372, -0.26304968425326725, -0.16805223587223075, 0.16259449508718468, -0.11396113597914916, -0.03549723325175529, 0.004521961345083334, 0.03880899562500417, -0.1349091022063724, -0.23438676668129946, 0.374165711437606, -0.031551196578551426, 0.23149058619111945, 0.024108118832704018, 0.099232207772068, 0.05522616610819982, -0.04806110087189485, 0.015286291885951703, -0.190292920373064, 0.1384287060883997, 0.2501610807905143, 0.08511145539920438, 0.11822913263247094, -0.41191224635324697, -0.20495316602120345, 0.14993811542676252, 0.05204980774909596, 0.06910315035334365, -0.06074175882068547, -0.32848476950841193, 0.11710522474128414, -0.16952205174179238, -0.14073037474670194, -0.12482127752578394, 0.0038271014451641927, -0.03521308451044289, -0.26947802220555866, 0.017393248706040056, 0.05268751201219857, 0.09061221361414275, -0.11806049065886658, -0.026426934573630042, -0.06153180556033145, 0.10638335297434506, 0.011476942592046478, 0.08872378895863552, 0.062135051729538565, -0.0907985081853853, -0.13821741151200098, 0.3630069018426267, -0.1046423262450844, -0.25213158528574486, 0.13577907358888874, -0.15482970488003708, -0.20673237102825873, 0.07564027908004144, 0.0399716465564614, 0.09051510969981212, -0.04705199514600364, 0.2614437982609326, -0.13356924073939974, 0.11847414533522996, 0.05349459450967102, 0.03128523239717073, 0.22234513798982583, 0.05628524741835215, 0.04800146013836969, 0.15873085034333848, -0.03664597468873994, -0.15366045401473952, -0.41028726168654184, -0.18958288058638573, -0.09969294490292668, 0.12935341632162983, -0.13475452397357335, -0.19762699145146392, 0.397655351341448, 0.11557998521708544, 0.13824675562368197, 0.09624802636575293, 0.1952255601275035, 0.12415812401608987, 0.03781953956720165, 0.03553388263522224, 0.18469784434207462, 0.22348094972866503, 0.03408312598582019, -0.12652596992186524, -0.09754189490128985, 0.23724589791064235] |
710.3955 | On the Behavior of the Distributed Coordination Function of IEEE 802.11
with Multirate Capability under General Transmission Conditions | The aim of this paper is threefold. First, it presents a multi-dimensional
Markovian state transition model characterizing the behavior of the IEEE 802.11
protocol at the Medium Access Control layer which accounts for packet
transmission failures due to channel errors modeling both saturated and
non-saturated traffic conditions. Second, it provides a throughput analysis of
the IEEE 802.11 protocol at the data link layer in both saturated and
non-saturated traffic conditions taking into account the impact of both the
physical propagation channel and multirate transmission in Rayleigh fading
environment. The general traffic model assumed is M/M/1/K. Finally, it shows
that the behavior of the throughput in non-saturated traffic conditions is a
linear combination of two system parameters; the payload size and the packet
rates, $\lambda^{(s)}$, of each contending station. The validity interval of
the proposed model is also derived.
Simulation results closely match the theoretical derivations, confirming the
effectiveness of the proposed models.
| cs.NI cs.PF | the aim of this paper is threefold first it presents a multidimensional markovian state transition model characterizing the behavior of the ieee 80211 protocol at the medium access control layer which accounts for packet transmission failures due to channel errors modeling both saturated and nonsaturated traffic conditions second it provides a throughput analysis of the ieee 80211 protocol at the data link layer in both saturated and nonsaturated traffic conditions taking into account the impact of both the physical propagation channel and multirate transmission in rayleigh fading environment the general traffic model assumed is mm1k finally it shows that the behavior of the throughput in nonsaturated traffic conditions is a linear combination of two system parameters the payload size and the packet rates lambdas of each contending station the validity interval of the proposed model is also derived simulation results closely match the theoretical derivations confirming the effectiveness of the proposed models | [['the', 'aim', 'of', 'this', 'paper', 'is', 'threefold', 'first', 'it', 'presents', 'a', 'multidimensional', 'markovian', 'state', 'transition', 'model', 'characterizing', 'the', 'behavior', 'of', 'the', 'ieee', '80211', 'protocol', 'at', 'the', 'medium', 'access', 'control', 'layer', 'which', 'accounts', 'for', 'packet', 'transmission', 'failures', 'due', 'to', 'channel', 'errors', 'modeling', 'both', 'saturated', 'and', 'nonsaturated', 'traffic', 'conditions', 'second', 'it', 'provides', 'a', 'throughput', 'analysis', 'of', 'the', 'ieee', '80211', 'protocol', 'at', 'the', 'data', 'link', 'layer', 'in', 'both', 'saturated', 'and', 'nonsaturated', 'traffic', 'conditions', 'taking', 'into', 'account', 'the', 'impact', 'of', 'both', 'the', 'physical', 'propagation', 'channel', 'and', 'multirate', 'transmission', 'in', 'rayleigh', 'fading', 'environment', 'the', 'general', 'traffic', 'model', 'assumed', 'is', 'mm1k', 'finally', 'it', 'shows', 'that', 'the', 'behavior', 'of', 'the', 'throughput', 'in', 'nonsaturated', 'traffic', 'conditions', 'is', 'a', 'linear', 'combination', 'of', 'two', 'system', 'parameters', 'the', 'payload', 'size', 'and', 'the', 'packet', 'rates', 'lambdas', 'of', 'each', 'contending', 'station', 'the', 'validity', 'interval', 'of', 'the', 'proposed', 'model', 'is', 'also', 'derived', 'simulation', 'results', 'closely', 'match', 'the', 'theoretical', 'derivations', 'confirming', 'the', 'effectiveness', 'of', 'the', 'proposed', 'models']] | [-0.24831513712591627, 0.015903765038513627, -0.06575536731342206, 0.00814632406782996, -0.009429709439006584, -0.19759104550681322, 0.12063043908366174, 0.3444523280118837, -0.25250315557135955, -0.259037376589779, 0.10033137757272925, -0.23879468899011905, -0.1482770876088915, 0.16422381550288073, -0.07422006773719515, 0.10342873055120244, 0.06621860376693994, 0.024034274746602597, 0.023254064334507444, -0.2567496164242345, 0.2766369157516716, 0.10642859964374159, 0.39488764168498547, 0.08128248116209809, 0.057722792333439236, 0.017262966033549196, -0.031980655070296245, -0.03625916360914217, -0.11574392642169666, 0.02912680087243452, 0.24637160628627067, 0.13553852416072532, 0.23457813689387158, -0.4305730021166566, -0.30344423260172143, 0.033009018318568305, 0.08457343031554238, 0.05224487062552821, 0.00686109988754125, -0.2826719698342985, 0.11306720829911922, -0.23424784482554778, -0.09207745555690244, 0.03541586925827065, -0.054555202126625534, 0.05186318955999301, -0.33051757354558886, 0.03219706352358212, 0.040410332723312375, 0.03254476734927218, -0.0869441496202183, -0.05095540448325521, -0.04229669979356818, 0.16142056111589467, 0.049221220114544086, -0.07665557246869675, 0.11641120905283299, -0.10685458625391077, -0.06796352697021671, 0.41222523760026025, -0.03442346140486494, -0.1650815126386557, 0.16180702791117305, -0.09361814200862059, -0.06769321751505088, 0.1611561253268615, 0.21766164734971857, 0.036289119979636256, -0.19528323584726373, 0.023695338947857778, -0.05631258021304874, 0.1753839253705289, 0.04332604294177145, 0.061893252181394735, 0.11240843294408957, 0.23487366750640304, 0.06842521203706335, 0.11251957123137177, -0.12072815957607848, -0.15702574405402533, -0.30544011305257873, -0.11503397897314771, -0.15004182360778368, -0.02774465108421665, -0.10948875121194808, -0.08699742800213005, 0.40833594716203053, 0.17828116155444723, 0.15471217121414252, 0.11619566531781426, 0.39388178643084276, 0.1154304953432936, 0.010886079521457615, 0.13322175434778297, 0.19218269154723538, 0.1343296590808007, 0.17379836314725444, -0.23285925146640357, 0.13969620440222666, -0.004706071610072334] |
710.3956 | The solution of a memorable problem by a special artifice of calculation | E731 in the Enestrom index. Originally published as "Solutio problematis ob
singularia calculi artificia memorabilis", Memoires de l'academie des sciences
de St-Petersbourg 2 (1810), 3-9.
For $z$ the distance from the origin, and $v$ a given function of $z$, Euler
wants to find a curve $s$ such that the integral of $z$ over $s$ is a maximum
or a minimum. He starts with the Euler-Lagrange equation, and does a lot of
manipulations with polar coordinates.
| math.HO math.CA | e731 in the enestrom index originally published as solutio problematis ob singularia calculi artificia memorabilis memoires de lacademie des sciences de stpetersbourg 2 1810 39 for z the distance from the origin and v a given function of z euler wants to find a curve s such that the integral of z over s is a maximum or a minimum he starts with the eulerlagrange equation and does a lot of manipulations with polar coordinates | [['e731', 'in', 'the', 'enestrom', 'index', 'originally', 'published', 'as', 'solutio', 'problematis', 'ob', 'singularia', 'calculi', 'artificia', 'memorabilis', 'memoires', 'de', 'lacademie', 'des', 'sciences', 'de', 'stpetersbourg', '2', '1810', '39', 'for', 'z', 'the', 'distance', 'from', 'the', 'origin', 'and', 'v', 'a', 'given', 'function', 'of', 'z', 'euler', 'wants', 'to', 'find', 'a', 'curve', 's', 'such', 'that', 'the', 'integral', 'of', 'z', 'over', 's', 'is', 'a', 'maximum', 'or', 'a', 'minimum', 'he', 'starts', 'with', 'the', 'eulerlagrange', 'equation', 'and', 'does', 'a', 'lot', 'of', 'manipulations', 'with', 'polar', 'coordinates']] | [-0.14284259202363697, 0.05738284813149063, -0.1354452293548409, 0.04645805233799299, -0.11570391616365616, -0.14848426218563016, 0.04035443979301962, 0.27154310392064, -0.24867134878708833, -0.3215859500772279, 0.04653799353484604, -0.31779200775022415, -0.07650697276171675, 0.17205162395966117, -0.08704623572555358, -0.004746740872877232, 0.010408594856794545, 0.051936565490061606, -0.060815433151615056, -0.2550269787915159, 0.24887563836207424, 0.039047177813515285, 0.18054877631231278, -0.05236775866048275, 0.135134027707323, 0.052984086455831275, -0.026261287194717188, -0.02369416281041028, -0.19536612852718224, 0.07547652944112601, 0.24017032513907854, 0.16864692595233952, 0.27268280483026436, -0.27661525126060715, -0.18296538007216176, 0.11137521046254298, 0.1212003207816135, 0.03823671174114165, -0.00016776868015649202, -0.25239413434072683, 0.08910414136514283, -0.16470909896104233, -0.13149299705063627, 0.09938347095326669, 0.12285192881245166, 0.0853364752214132, -0.22554152982606404, 0.06755303872911178, 0.03795557769447349, 0.10924027684360635, -0.039653144506872566, -0.18135828599063814, -0.10063279695484949, 0.025455780084366383, -0.01987302028978972, 0.1363727231779932, 0.04499044683019536, -0.10682068379136964, -0.09670445713740976, 0.38074727442817413, -0.10600842184562614, -0.10180475106597811, 0.1574098067223162, -0.1267261811805403, -0.10274419425379323, 0.13709202976694898, 0.10048398155503083, 0.13647905102782493, -0.07847168162276132, 0.1993172289651778, 0.0004912135393723198, 0.17668183520436287, 0.11699662487481491, -0.04504096264397536, 0.1697679752672928, 0.01153708561795993, 0.05083273319473517, 0.026308443958692227, -0.10425271984675656, -0.03080296770170115, -0.33306299050783983, -0.23975866622682931, -0.1361463638562439, 0.13952547820635897, -0.07748321352646335, -0.16707843570443598, 0.2997975327661666, 0.023353967869627304, 0.20641668426021392, 0.014595809156426054, 0.17098458164601008, 0.0806280753382927, 0.049753623866084694, 0.11128426441058949, 0.15128400317136792, 0.13215214868946729, 0.1532076230539225, -0.14434995392904335, 0.01404031038797204, 0.12939691704198503] |
710.3957 | Non-archimedean equidistribution on elliptic curves with global
applications | Let $E$ be an elliptic curve over an algebraically closed, complete,
non-archimedean field $K$, and let ${\mathsf E}$ denote the Berkovich analytic
space associated to $E/K$. We study the $\mu$-equidistribution of finite
subsets of $E(K)$, where $\mu$ is a certain canonical unit Borel measure on
${\mathsf E}$. Our main result is an inequality bounding the error term when
testing against a certain class of continuous functions on ${\mathsf E}$. We
then give two applications to elliptic curves over global function fields: we
prove a function field analogue of the Szpiro-Ullmo-Zhang equidistribution
theorem for small points, and a function field analogue of a result of
Baker-Ih-Rumely on the finiteness of $S$-integral torsion points. Both
applications are given in explicit quantitative form.
| math.NT math.AG | let e be an elliptic curve over an algebraically closed complete nonarchimedean field k and let mathsf e denote the berkovich analytic space associated to ek we study the muequidistribution of finite subsets of ek where mu is a certain canonical unit borel measure on mathsf e our main result is an inequality bounding the error term when testing against a certain class of continuous functions on mathsf e we then give two applications to elliptic curves over global function fields we prove a function field analogue of the szpiroullmozhang equidistribution theorem for small points and a function field analogue of a result of bakerihrumely on the finiteness of sintegral torsion points both applications are given in explicit quantitative form | [['let', 'e', 'be', 'an', 'elliptic', 'curve', 'over', 'an', 'algebraically', 'closed', 'complete', 'nonarchimedean', 'field', 'k', 'and', 'let', 'mathsf', 'e', 'denote', 'the', 'berkovich', 'analytic', 'space', 'associated', 'to', 'ek', 'we', 'study', 'the', 'muequidistribution', 'of', 'finite', 'subsets', 'of', 'ek', 'where', 'mu', 'is', 'a', 'certain', 'canonical', 'unit', 'borel', 'measure', 'on', 'mathsf', 'e', 'our', 'main', 'result', 'is', 'an', 'inequality', 'bounding', 'the', 'error', 'term', 'when', 'testing', 'against', 'a', 'certain', 'class', 'of', 'continuous', 'functions', 'on', 'mathsf', 'e', 'we', 'then', 'give', 'two', 'applications', 'to', 'elliptic', 'curves', 'over', 'global', 'function', 'fields', 'we', 'prove', 'a', 'function', 'field', 'analogue', 'of', 'the', 'szpiroullmozhang', 'equidistribution', 'theorem', 'for', 'small', 'points', 'and', 'a', 'function', 'field', 'analogue', 'of', 'a', 'result', 'of', 'bakerihrumely', 'on', 'the', 'finiteness', 'of', 'sintegral', 'torsion', 'points', 'both', 'applications', 'are', 'given', 'in', 'explicit', 'quantitative', 'form']] | [-0.23519392288684593, 0.0601434463518425, -0.12602897916162797, 0.0674756427603316, -0.0761060206164306, -0.10208125367871154, 0.026624216118006635, 0.28482388173845613, -0.3049869555072322, -0.19699901406321738, 0.03838967691053305, -0.28354893419575894, -0.09872194807739708, 0.30055083378644315, -0.15110920368835834, 0.006315285738526007, 0.014230645090041651, 0.11226590394863259, -0.06464624440226452, -0.27609659500925215, 0.36552764115444686, -0.08112203254822199, 0.20199541319793057, 0.08567315636013272, 0.10529089652167602, 0.059980057349617956, 0.019847264383146067, -0.007321914762773519, -0.21787313161954536, 0.1045797513403251, 0.2679594415674081, 0.09189804001924408, 0.2699690293520689, -0.335789353973469, -0.1695129246711415, 0.26981903583016564, 0.10915393089447407, -0.05756297741890332, -0.0063218285232956, -0.26341887885483645, 0.14223613935881355, -0.10867124566240079, -0.17072372501558167, -0.0786397074846456, 0.10514142224269177, 0.0402848045223282, -0.3398538450789401, -0.029604759850633978, 0.08227645199828765, 0.19863927690312266, -0.10238279062086496, -0.11154318648643034, 0.00023084204699212716, 0.044274220794835915, 0.02226572531133385, 0.15260629307960114, 0.07034407554133164, -0.06493430354995496, -0.10115840497931813, 0.3253197126737717, -0.14259056731569186, -0.22240260223684422, 0.07741016551647019, -0.18071078561183254, -0.08381701891815638, 0.09809828237867203, 0.1615213902461958, 0.17782196166660733, -0.023583231571399788, 0.24459504186850578, -0.12300095084356144, 0.07244191618667821, 0.0550404600522844, -0.0014764583586730946, 0.14657027880519125, 0.037623247433595866, 0.1244534633745897, 0.14368786876310863, -0.008937253501321489, -0.018704769722485946, -0.4332251938028356, -0.19524484960425456, -0.16597882498813382, 0.19807833755167864, -0.15084402886652426, -0.2251359273490133, 0.3747875502952611, 0.02740963050203745, 0.21819893225743356, 0.1190952507944746, 0.22500860631481698, 0.14164941673960252, 0.010527502343855735, 0.07365396747886503, 0.05975346693421824, 0.22077822493255075, -0.065817701052164, -0.1642377187963575, -0.021362361900697825, 0.1897276196770875] |
710.3958 | The problem of gauge invariance and the functional Schroedinger approach | Quantum field theory is assumed to be gauge invariant. However it is well
known that when certain quantities, such as the vacuum current, are calculated
the results are not gauge invariant. The non-gauge invariant terms have to be
removed in order to obtain a physically correct result. It has been shown in
Ref. [3] and [4] that this problem may be due to a mathematical inconsistency
in the canonical formulation of QFT. In this article we will review this
previous work and then examine an alternative formulation of QFT called the
functional Schroedinger approach. It will be shown that this approach produces
different results then the canonical formulation. In particular it will be
shown that in the functional Schroedinger approach the vacuum current is gauge
invariant.
| quant-ph | quantum field theory is assumed to be gauge invariant however it is well known that when certain quantities such as the vacuum current are calculated the results are not gauge invariant the nongauge invariant terms have to be removed in order to obtain a physically correct result it has been shown in ref 3 and 4 that this problem may be due to a mathematical inconsistency in the canonical formulation of qft in this article we will review this previous work and then examine an alternative formulation of qft called the functional schroedinger approach it will be shown that this approach produces different results then the canonical formulation in particular it will be shown that in the functional schroedinger approach the vacuum current is gauge invariant | [['quantum', 'field', 'theory', 'is', 'assumed', 'to', 'be', 'gauge', 'invariant', 'however', 'it', 'is', 'well', 'known', 'that', 'when', 'certain', 'quantities', 'such', 'as', 'the', 'vacuum', 'current', 'are', 'calculated', 'the', 'results', 'are', 'not', 'gauge', 'invariant', 'the', 'nongauge', 'invariant', 'terms', 'have', 'to', 'be', 'removed', 'in', 'order', 'to', 'obtain', 'a', 'physically', 'correct', 'result', 'it', 'has', 'been', 'shown', 'in', 'ref', '3', 'and', '4', 'that', 'this', 'problem', 'may', 'be', 'due', 'to', 'a', 'mathematical', 'inconsistency', 'in', 'the', 'canonical', 'formulation', 'of', 'qft', 'in', 'this', 'article', 'we', 'will', 'review', 'this', 'previous', 'work', 'and', 'then', 'examine', 'an', 'alternative', 'formulation', 'of', 'qft', 'called', 'the', 'functional', 'schroedinger', 'approach', 'it', 'will', 'be', 'shown', 'that', 'this', 'approach', 'produces', 'different', 'results', 'then', 'the', 'canonical', 'formulation', 'in', 'particular', 'it', 'will', 'be', 'shown', 'that', 'in', 'the', 'functional', 'schroedinger', 'approach', 'the', 'vacuum', 'current', 'is', 'gauge', 'invariant']] | [-0.06435677021213379, 0.145989824357255, -0.14726049752558568, 0.10565168301053789, -0.07881135020464186, -0.11586490708831994, -0.06982849816891498, 0.36475488389029154, -0.24298020866551687, -0.2968937198941906, 0.0801257400326283, -0.21711675161569718, -0.22897424219390525, 0.15539218545410902, -0.11281561074290603, 0.07121854880824685, 0.04393142831349184, 0.08207914128249126, -0.08252664224895102, -0.281138007621473, 0.30988896340279587, 0.041364197171152764, 0.2850411340274612, 0.09111438556352541, 0.07543870864901692, -0.043223506711896446, -0.022323997120284253, 0.06516228809893604, -0.10740619418807217, 0.07999668588458989, 0.2730614391879903, 0.10778022639357322, 0.23740219706225962, -0.4069517529643481, -0.2256913934612558, 0.08918471773809176, 0.13388965660262675, 0.17129269746383505, -8.170269725341646e-05, -0.2808760453592099, 0.12503903990750947, -0.18499843057777202, -0.1347016856316403, -0.12809901882613461, 0.0060516420820180975, -0.0820852337628677, -0.2557752337195866, 0.03781330778026983, 0.05306171652923767, -0.016599151915648862, -0.05371109952795364, -0.07653170250844032, 0.009349340497190871, 0.05793826036558982, 0.10981173693047215, 0.12731745643984704, 0.1079789871305582, -0.10291937512293872, -0.10165294854798251, 0.40403092883172487, -0.05020327107807148, -0.2899913354407227, 0.1623479440690033, -0.11113244955176635, -0.17306210205609363, 0.07374365904205848, 0.07594190904175833, 0.1239342159916839, -0.2083935393673037, 0.15458006630115773, -0.08471248924200024, 0.12183350951841382, 0.04818623541809973, 0.05234195362214768, 0.18544993599847195, 0.07213319090032388, 0.07085152968047334, 0.09854992962394295, 0.010706561421679835, -0.11663850992252785, -0.3561908092852386, -0.17567944301972313, -0.18458737437391565, 0.09545529145382009, -0.0038688520839463714, -0.14977689319690282, 0.3622441672025219, 0.20648131526670316, 0.155574053843757, 0.028956127609865413, 0.2635117203351997, 0.19996222905308333, 0.07951773861275306, 0.0308726626921386, 0.27199355430812355, 0.1322986359841057, 0.076869015847998, -0.1766553787063689, -0.012491132132709026, 0.08472774071352822] |
710.3959 | The t copula with Multiple Parameters of Degrees of Freedom: Bivariate
Characteristics and Application to Risk Management | The t copula is often used in risk management as it allows for modelling tail
dependence between risks and it is simple to simulate and calibrate. However,
the use of a standard t copula is often criticized due to its restriction of
having a single parameter for the degrees of freedom (dof) that may limit its
capability to model the tail dependence structure in a multivariate case. To
overcome this problem, grouped t copula was proposed recently, where risks are
grouped a priori in such a way that each group has a standard t copula with its
specific dof parameter. In this paper we propose the use of a grouped t copula,
where each group consists of one risk factor only, so that a priori grouping is
not required. The copula characteristics in the bivariate case are studied. We
explain simulation and calibration procedures, including a simulation study on
finite sample properties of the maximum likelihood estimators and Kendall's tau
approximation. This new copula can be significantly different from the standard
t copula in terms of risk measures such as tail dependence, value at risk and
expected shortfall.
Keywords: grouped t copula, tail dependence, risk management.
| math.PR q-fin.CP q-fin.RM | the t copula is often used in risk management as it allows for modelling tail dependence between risks and it is simple to simulate and calibrate however the use of a standard t copula is often criticized due to its restriction of having a single parameter for the degrees of freedom dof that may limit its capability to model the tail dependence structure in a multivariate case to overcome this problem grouped t copula was proposed recently where risks are grouped a priori in such a way that each group has a standard t copula with its specific dof parameter in this paper we propose the use of a grouped t copula where each group consists of one risk factor only so that a priori grouping is not required the copula characteristics in the bivariate case are studied we explain simulation and calibration procedures including a simulation study on finite sample properties of the maximum likelihood estimators and kendalls tau approximation this new copula can be significantly different from the standard t copula in terms of risk measures such as tail dependence value at risk and expected shortfall keywords grouped t copula tail dependence risk management | [['the', 't', 'copula', 'is', 'often', 'used', 'in', 'risk', 'management', 'as', 'it', 'allows', 'for', 'modelling', 'tail', 'dependence', 'between', 'risks', 'and', 'it', 'is', 'simple', 'to', 'simulate', 'and', 'calibrate', 'however', 'the', 'use', 'of', 'a', 'standard', 't', 'copula', 'is', 'often', 'criticized', 'due', 'to', 'its', 'restriction', 'of', 'having', 'a', 'single', 'parameter', 'for', 'the', 'degrees', 'of', 'freedom', 'dof', 'that', 'may', 'limit', 'its', 'capability', 'to', 'model', 'the', 'tail', 'dependence', 'structure', 'in', 'a', 'multivariate', 'case', 'to', 'overcome', 'this', 'problem', 'grouped', 't', 'copula', 'was', 'proposed', 'recently', 'where', 'risks', 'are', 'grouped', 'a', 'priori', 'in', 'such', 'a', 'way', 'that', 'each', 'group', 'has', 'a', 'standard', 't', 'copula', 'with', 'its', 'specific', 'dof', 'parameter', 'in', 'this', 'paper', 'we', 'propose', 'the', 'use', 'of', 'a', 'grouped', 't', 'copula', 'where', 'each', 'group', 'consists', 'of', 'one', 'risk', 'factor', 'only', 'so', 'that', 'a', 'priori', 'grouping', 'is', 'not', 'required', 'the', 'copula', 'characteristics', 'in', 'the', 'bivariate', 'case', 'are', 'studied', 'we', 'explain', 'simulation', 'and', 'calibration', 'procedures', 'including', 'a', 'simulation', 'study', 'on', 'finite', 'sample', 'properties', 'of', 'the', 'maximum', 'likelihood', 'estimators', 'and', 'kendalls', 'tau', 'approximation', 'this', 'new', 'copula', 'can', 'be', 'significantly', 'different', 'from', 'the', 'standard', 't', 'copula', 'in', 'terms', 'of', 'risk', 'measures', 'such', 'as', 'tail', 'dependence', 'value', 'at', 'risk', 'and', 'expected', 'shortfall', 'keywords', 'grouped', 't', 'copula', 'tail', 'dependence', 'risk', 'management']] | [-0.04694196125444937, 0.05268193961938425, -0.1345927242869131, 0.11656606919666733, -0.1019759936524289, -0.1554853740903758, 0.07311978133345422, 0.401297694452259, -0.26563499508691685, -0.27697261232806714, 0.0974657347940184, -0.26238034008083, -0.0998204502749865, 0.12523632806521479, -0.11753581990060226, 0.0676422077032134, -0.00997310690106634, 0.034936531587047695, -0.03637391581599202, -0.24527948576367783, 0.2719061185311222, 0.07901722557215514, 0.2931791249916851, 0.0035742404252974962, 0.10852238103718859, 0.011204110356332848, -0.011346960405828622, 0.023835958010155936, -0.11280187837626132, 0.09374871287597059, 0.27227755700599177, 0.15206827486304528, 0.34728637255124784, -0.3361923390503409, -0.23108769366897794, 0.14604592149155404, 0.11874769207230312, -0.015183645868388822, 0.010346862793382143, -0.24105041795315182, 0.04362307258701066, -0.23533648342412078, -0.11116042272164012, -0.07349582780651483, 0.008829650154327783, 0.013101558686276821, -0.35576840302561247, 0.1181244987718837, 0.04495089967041371, 0.05906426293140798, 0.02836889113870934, -0.17240796468401215, -0.008563421602474943, 0.07948742141205893, 0.12031464910013506, -0.015992461897347276, 0.1304846635083573, -0.11324987524398128, -0.08866388307010033, 0.32656397105536744, -0.04517543842844969, -0.23577568016718237, 0.1793176805046957, -0.17081214497055935, -0.15863776535784102, 0.08892003181437981, 0.18795986036884085, 0.0949745180693512, -0.21994375139124434, 0.0983864864443158, -0.035678437910974026, 0.14707048367518855, 0.05394186758037124, 0.0071616336508482994, 0.13664662933490257, 0.18180691525553905, 0.08848752810296659, 0.15268995822110326, -0.11751605410542225, -0.0733675238182198, -0.32689002130598743, -0.1462763342020406, -0.18995221522731745, -0.003100865425429739, -0.14356957126504738, -0.1822496160665261, 0.3873682739213109, 0.1650132148709102, 0.2130177139485141, 0.08282868102150114, 0.26844516137320246, 0.13996609495548837, 0.07047519025544884, 0.09509295001578498, 0.13737625221018585, 0.10965823304212215, 0.02330818708168761, -0.15851147185977815, 0.18851695507669783, 0.006321831694233934] |
710.396 | A Kruskal-Katona Type Theorem for Graphs | A bound on consecutive clique numbers of graphs is established. This bound is
evaluated and shown to often be much better than the bound of the
Kruskal-Katona theorem. A bound on non-consecutive clique numbers is also
proven.
| math.CO | a bound on consecutive clique numbers of graphs is established this bound is evaluated and shown to often be much better than the bound of the kruskalkatona theorem a bound on nonconsecutive clique numbers is also proven | [['a', 'bound', 'on', 'consecutive', 'clique', 'numbers', 'of', 'graphs', 'is', 'established', 'this', 'bound', 'is', 'evaluated', 'and', 'shown', 'to', 'often', 'be', 'much', 'better', 'than', 'the', 'bound', 'of', 'the', 'kruskalkatona', 'theorem', 'a', 'bound', 'on', 'nonconsecutive', 'clique', 'numbers', 'is', 'also', 'proven']] | [-0.1914266409774034, 0.1424078886976113, -0.14045984162068045, 0.16691276378854103, -0.06840946449822671, -0.16846325391953862, 0.11568906820203001, 0.27214784462105585, -0.21159400790929794, -0.3847345558775438, 0.11963828698404737, -0.25022426972518097, -0.1457702525501215, 0.24426156081057884, -0.10187892096016456, 0.050775556044804084, 0.10786380455199931, 0.17755543908758745, 0.05097562837338931, -0.33253944040955724, 0.23693380414231405, 0.004471321741270053, 0.2672205431460768, 0.18138864485395922, 0.024136126469317322, -0.06939077941147057, 0.03501444453423893, 0.009819648757174209, -0.16762750099941687, 0.16361396122925184, 0.21157532949252306, 0.13836325634572957, 0.23941034734299457, -0.3742916458663908, -0.12031218155312377, 0.20167650214421587, 0.18918334579447638, 0.06786389301556188, 0.06941826255815858, -0.2725173033572532, 0.14646963620986286, -0.11412331582726659, -0.07389387865928379, -0.0229826917418757, 0.08038556726800429, 0.011948279086248698, -0.3147383679107234, 0.030774616478231258, 0.13553395827074308, 0.028999669854906766, 0.06630436628050096, -0.23391745430794922, 0.012043209658381907, 0.004829564962435413, 0.002938005425086295, 0.059369928681769886, 0.035855712268400834, -0.10112418238753201, -0.1239210051056501, 0.3243305093885676, -0.004467575882036063, -0.20329218780672229, 0.14081355204453339, -0.12466518875412844, -0.13695558205851027, 0.10173450022734501, 0.10840505698846804, 0.23147639571814924, -0.07869031500524364, 0.054785615158884006, -0.1796071165669206, 0.2079630864884805, 0.19419831480528857, 0.06483464139337475, 0.06333798446969406, 0.15129803425657587, 0.1969040652636338, 0.20988847765555554, 0.02914820728521492, -0.09066555362094093, -0.17504629439900857, -0.1357315563080782, -0.3581609666800579, 0.03839487547205912, -0.11453073910977125, -0.16156213353246426, 0.33252280155146446, 0.04157863488118794, 0.17000155956358523, 0.15694686916430253, 0.30302134050509416, 0.14540693808246302, 0.0577496812691459, 0.13293380407314445, 0.20139928172166283, 0.21907054567457857, -0.05528224742266576, -0.07802653739329528, 0.11153183462148583, 0.1825829775550881] |
710.3961 | On a New Type of Information Processing for Efficient Management of
Complex Systems | It is a challenge to manage complex systems efficiently without confronting
NP-hard problems. To address the situation we suggest to use self-organization
processes of prime integer relations for information processing.
Self-organization processes of prime integer relations define correlation
structures of a complex system and can be equivalently represented by
transformations of two-dimensional geometrical patterns determining the
dynamics of the system and revealing its structural complexity. Computational
experiments raise the possibility of an optimality condition of complex systems
presenting the structural complexity of a system as a key to its optimization.
From this perspective the optimization of a system could be all about the
control of the structural complexity of the system to make it consistent with
the structural complexity of the problem. The experiments also indicate that
the performance of a complex system may behave as a concave function of the
structural complexity. Therefore, once the structural complexity could be
controlled as a single entity, the optimization of a complex system would be
potentially reduced to a one-dimensional concave optimization irrespective of
the number of variables involved its description. This might open a way to a
new type of information processing for efficient management of complex systems.
| cs.CC | it is a challenge to manage complex systems efficiently without confronting nphard problems to address the situation we suggest to use selforganization processes of prime integer relations for information processing selforganization processes of prime integer relations define correlation structures of a complex system and can be equivalently represented by transformations of twodimensional geometrical patterns determining the dynamics of the system and revealing its structural complexity computational experiments raise the possibility of an optimality condition of complex systems presenting the structural complexity of a system as a key to its optimization from this perspective the optimization of a system could be all about the control of the structural complexity of the system to make it consistent with the structural complexity of the problem the experiments also indicate that the performance of a complex system may behave as a concave function of the structural complexity therefore once the structural complexity could be controlled as a single entity the optimization of a complex system would be potentially reduced to a onedimensional concave optimization irrespective of the number of variables involved its description this might open a way to a new type of information processing for efficient management of complex systems | [['it', 'is', 'a', 'challenge', 'to', 'manage', 'complex', 'systems', 'efficiently', 'without', 'confronting', 'nphard', 'problems', 'to', 'address', 'the', 'situation', 'we', 'suggest', 'to', 'use', 'selforganization', 'processes', 'of', 'prime', 'integer', 'relations', 'for', 'information', 'processing', 'selforganization', 'processes', 'of', 'prime', 'integer', 'relations', 'define', 'correlation', 'structures', 'of', 'a', 'complex', 'system', 'and', 'can', 'be', 'equivalently', 'represented', 'by', 'transformations', 'of', 'twodimensional', 'geometrical', 'patterns', 'determining', 'the', 'dynamics', 'of', 'the', 'system', 'and', 'revealing', 'its', 'structural', 'complexity', 'computational', 'experiments', 'raise', 'the', 'possibility', 'of', 'an', 'optimality', 'condition', 'of', 'complex', 'systems', 'presenting', 'the', 'structural', 'complexity', 'of', 'a', 'system', 'as', 'a', 'key', 'to', 'its', 'optimization', 'from', 'this', 'perspective', 'the', 'optimization', 'of', 'a', 'system', 'could', 'be', 'all', 'about', 'the', 'control', 'of', 'the', 'structural', 'complexity', 'of', 'the', 'system', 'to', 'make', 'it', 'consistent', 'with', 'the', 'structural', 'complexity', 'of', 'the', 'problem', 'the', 'experiments', 'also', 'indicate', 'that', 'the', 'performance', 'of', 'a', 'complex', 'system', 'may', 'behave', 'as', 'a', 'concave', 'function', 'of', 'the', 'structural', 'complexity', 'therefore', 'once', 'the', 'structural', 'complexity', 'could', 'be', 'controlled', 'as', 'a', 'single', 'entity', 'the', 'optimization', 'of', 'a', 'complex', 'system', 'would', 'be', 'potentially', 'reduced', 'to', 'a', 'onedimensional', 'concave', 'optimization', 'irrespective', 'of', 'the', 'number', 'of', 'variables', 'involved', 'its', 'description', 'this', 'might', 'open', 'a', 'way', 'to', 'a', 'new', 'type', 'of', 'information', 'processing', 'for', 'efficient', 'management', 'of', 'complex', 'systems']] | [-0.18148138353643645, 0.060060106854378195, -0.10279598669503547, 0.08576113293077418, -0.09638918053387159, -0.1362942891776902, 0.06497522634052232, 0.3246971826934194, -0.3720047652064279, -0.33571907336147605, 0.1317686216071305, -0.22784247499214588, -0.19748820698474945, 0.20871190377392895, -0.06843564509258128, 0.08098262589251112, 0.04088270004738171, 0.021775761322558002, -0.091118402054609, -0.23715076452655348, 0.30382455211974263, 0.06402321549860505, 0.2254754156973402, 0.026062169844440663, 0.08341370162738458, -0.002265486302478286, 0.039284169409178234, 0.06613552445299961, -0.07203347339469326, 0.1646387850833811, 0.2760495725064184, 0.19574450924141606, 0.299451220840887, -0.4159451547140246, -0.23877941726040341, 0.10382928851835883, 0.1483442073005079, 0.07556121726638548, -0.018047690824109133, -0.23570840530154216, 0.07469170361486628, -0.12118775787560014, -0.13689039837389352, -0.09769153286736024, 0.004079484709049221, 0.022108046562519624, -0.2623002429558957, 0.028208864383431398, 0.0706259989756429, 0.05998292987513815, -0.056359886396841766, -0.07624959030252441, 0.002209782427848142, 0.1540058320258191, -0.01205518638385994, 0.006769995485210252, 0.1389799137543036, -0.16023074821947228, -0.14435872034882408, 0.4253900109927364, 0.02793891383169531, -0.21235245681807474, 0.21381992869892247, -0.09272847734722615, -0.16031070482600385, 0.14616923621822583, 0.21476953799557413, 0.08036591899273965, -0.16017709299449237, 0.0520297554741155, -0.023932240635090446, 0.21904487033574938, 0.013318764038743252, 0.06290806609863028, 0.2158235995592975, 0.2244869743941853, 0.0814909998393679, 0.18550570950214632, 0.011318281595476994, -0.08609048740378095, -0.24582534406788004, -0.19974508190050078, -0.1654021454186694, 0.05407642994813507, -0.097796773136006, -0.16434362650787468, 0.3709105801092565, 0.1329851323262396, 0.20159004834305666, 0.026939254056728507, 0.27987662328851554, 0.10931905246810127, 0.05558571364815692, 0.015795165715446025, 0.15325245697779324, 0.10852747770064146, 0.093138124783131, -0.2532891217337893, 0.10160157860961133, 0.011000788678429302] |
710.3962 | d+id'-wave Superconducting States in Graphene | We show that effective superconducting orders generally emerge at low energy
in the superconducting state of graphene with conventionally defined pairing
symmetry .
We study such a particular interesting example, the $d_{x^2-y^2}+id'_{xy}$
spin singlet pairing superconducting state in graphene, which can be generated
by electronic correlation as well as induced through a proximity effect with a
d-wave superconductor. We find that effectively the d-wave state is a state
with mixed s-wave and exotic $p+ip$-wave pairing orders at low energy. This
remarkable property leads to distinctive superconducting gap functions and
novel behavior of the Andreev conductance spectra.
| cond-mat.mes-hall cond-mat.supr-con | we show that effective superconducting orders generally emerge at low energy in the superconducting state of graphene with conventionally defined pairing symmetry we study such a particular interesting example the d_x2y2id_xy spin singlet pairing superconducting state in graphene which can be generated by electronic correlation as well as induced through a proximity effect with a dwave superconductor we find that effectively the dwave state is a state with mixed swave and exotic pipwave pairing orders at low energy this remarkable property leads to distinctive superconducting gap functions and novel behavior of the andreev conductance spectra | [['we', 'show', 'that', 'effective', 'superconducting', 'orders', 'generally', 'emerge', 'at', 'low', 'energy', 'in', 'the', 'superconducting', 'state', 'of', 'graphene', 'with', 'conventionally', 'defined', 'pairing', 'symmetry', 'we', 'study', 'such', 'a', 'particular', 'interesting', 'example', 'the', 'd_x2y2id_xy', 'spin', 'singlet', 'pairing', 'superconducting', 'state', 'in', 'graphene', 'which', 'can', 'be', 'generated', 'by', 'electronic', 'correlation', 'as', 'well', 'as', 'induced', 'through', 'a', 'proximity', 'effect', 'with', 'a', 'dwave', 'superconductor', 'we', 'find', 'that', 'effectively', 'the', 'dwave', 'state', 'is', 'a', 'state', 'with', 'mixed', 'swave', 'and', 'exotic', 'pipwave', 'pairing', 'orders', 'at', 'low', 'energy', 'this', 'remarkable', 'property', 'leads', 'to', 'distinctive', 'superconducting', 'gap', 'functions', 'and', 'novel', 'behavior', 'of', 'the', 'andreev', 'conductance', 'spectra']] | [-0.22133647439707266, 0.2470317096853825, -0.07823823941381354, 0.09706909757499632, -0.05692069734887857, -0.18453816041644466, 0.07345337444842842, 0.3538861105512632, -0.2573099422366603, -0.30846208161429356, -0.05818574176856169, -0.32169325096826806, -0.13196988983177824, 0.1357522658023395, 0.08386997371225764, 0.027059935699952277, -0.042620481990620886, 0.004793452368559022, -0.17264740509716303, -0.1931300552855981, 0.4054277012810895, -0.0195498265620125, 0.3627638209807245, 0.11926638596250039, 0.009308590092941334, -0.0012440100802402747, 0.20463642788266664, 0.03133305928816921, -0.10579808576501244, 0.024618215555031048, 0.3233860525204555, -0.13648741906018633, 0.16142016657579103, -0.4410661256823101, -0.21439603422890957, 0.08663098523393273, 0.14845105674313872, 0.16550780542954607, -0.047881715901588136, -0.3189078576666744, 0.0785710190324799, -0.25470971227868605, -0.1159420640305861, -0.14017455613142565, -0.05922936458924883, -0.05729999869179569, -0.22553835277886766, 0.09249019928515496, 0.04650546837549068, 0.04932101940442073, -0.04190181282495982, -0.12151940547321972, -0.07610020186065843, -0.020559964907404624, 0.039739354117773476, 0.06048051974442052, 0.1100819026769482, -0.1415522220915591, -0.12449844402665468, 0.2929699552588557, -0.06543987552194219, -0.0725656949571873, 0.1526733619798171, -0.10840828510393438, -0.033601435430740054, 0.11348386683354253, 0.05847740341958247, 0.027863443549722432, -0.09154338252387549, 0.049985549113051475, -0.03617395613538592, 0.16638086362937957, 0.018755894791530937, 0.19063546278170848, 0.24682817244412084, 0.21487027075092652, 0.08003221228718757, 0.17040415955094718, -0.0873068360893644, -0.05488852707571105, -0.27598837232707363, -0.16548042784592037, -0.21307596523608816, 0.0841270072091567, -0.0007864466846896042, -0.19423936895143828, 0.4355597558970514, 0.10849582266160532, 0.23283836266123933, -0.10648916745926008, 0.24956743405445625, 0.15268798081057244, 0.09601820069120119, 0.05560426675641027, 0.2051359973847866, 0.125366219792417, 0.05811392810489786, -0.34066858345054485, 0.07380632260128071, -0.008155258313605659] |
710.3963 | Including nonlocality in exchange-correlation kernel from time-dependent
current density functional theory: Application to the stopping power of
electron liquids | We develop a scheme for building the scalar exchange-correlation (xc) kernel
of time-dependent density functional theory (TDDFT) from the tensorial kernel
of time-dependent {\em current} density functional theory (TDCDFT) and the
Kohn-Sham current density response function. Resorting to the local
approximation to the kernel of TDCDFT results in a nonlocal approximation to
the kernel of TDDFT, which is free of the contradictions that plague the
standard local density approximation (LDA) to TDDFT. As an application of this
general scheme, we calculate the dynamical xc contribution to the stopping
power of electron liquids for slow ions to find that our results are in
considerably better agreement with experiment than those obtained using TDDFT
in the conventional LDA.
| cond-mat.mtrl-sci | we develop a scheme for building the scalar exchangecorrelation xc kernel of timedependent density functional theory tddft from the tensorial kernel of timedependent em current density functional theory tdcdft and the kohnsham current density response function resorting to the local approximation to the kernel of tdcdft results in a nonlocal approximation to the kernel of tddft which is free of the contradictions that plague the standard local density approximation lda to tddft as an application of this general scheme we calculate the dynamical xc contribution to the stopping power of electron liquids for slow ions to find that our results are in considerably better agreement with experiment than those obtained using tddft in the conventional lda | [['we', 'develop', 'a', 'scheme', 'for', 'building', 'the', 'scalar', 'exchangecorrelation', 'xc', 'kernel', 'of', 'timedependent', 'density', 'functional', 'theory', 'tddft', 'from', 'the', 'tensorial', 'kernel', 'of', 'timedependent', 'em', 'current', 'density', 'functional', 'theory', 'tdcdft', 'and', 'the', 'kohnsham', 'current', 'density', 'response', 'function', 'resorting', 'to', 'the', 'local', 'approximation', 'to', 'the', 'kernel', 'of', 'tdcdft', 'results', 'in', 'a', 'nonlocal', 'approximation', 'to', 'the', 'kernel', 'of', 'tddft', 'which', 'is', 'free', 'of', 'the', 'contradictions', 'that', 'plague', 'the', 'standard', 'local', 'density', 'approximation', 'lda', 'to', 'tddft', 'as', 'an', 'application', 'of', 'this', 'general', 'scheme', 'we', 'calculate', 'the', 'dynamical', 'xc', 'contribution', 'to', 'the', 'stopping', 'power', 'of', 'electron', 'liquids', 'for', 'slow', 'ions', 'to', 'find', 'that', 'our', 'results', 'are', 'in', 'considerably', 'better', 'agreement', 'with', 'experiment', 'than', 'those', 'obtained', 'using', 'tddft', 'in', 'the', 'conventional', 'lda']] | [-0.03934994300602582, -0.0052447057566715905, -0.1556877493256189, 0.13469110824296188, 0.004464567462303515, -0.10402994148999228, 0.04911831288461991, 0.3422343850232147, -0.2413706515417916, -0.27865220803028806, -0.023460497364104757, -0.30904019489113627, -0.14440535644775834, 0.14014442833461638, 0.02428133697610284, 0.11837455788466694, 0.008878774659965059, 0.0027284232602486835, -0.13619687830916896, -0.20494393732374663, 0.27116092941161757, 0.09448386959185631, 0.2689257062136613, 0.06702863519754389, 0.018982557888977743, 0.040082733905553045, 0.015145432476981961, 0.030901293454948683, -0.12787656943629402, 0.17421257467378445, 0.3080645596090672, 0.030426304751268493, 0.3185050746361757, -0.5429880016097992, -0.279071821534107, 0.008671067073009908, 0.04692941509460195, 0.15500450233330726, -0.00266016558503154, -0.25675102611521966, 0.05269036196364925, -0.21799846561946745, -0.1345308325353785, -0.1662223146152522, -0.022009723932193272, 0.06013927996411502, -0.30324555699039124, 0.18013809772573636, -0.020416709595683015, -0.03186861103288187, -0.11448723478403328, -0.14491790298529067, 0.05967172657557089, -0.0005913547978832804, 0.042971955016175095, 0.09448152824288941, 0.1824417895244049, -0.13337203380370768, -0.047090873765510285, 0.35510402985302536, -0.16285952092472017, -0.20039364451076835, 0.16884742775964068, -0.11967487538490316, -0.09591360928105383, 0.1161248639290189, 0.07607049548372241, 0.10966303056619804, -0.15151241766128304, 0.1463857796278999, 0.006266560419542907, 0.16000320234111157, 0.007693496215606815, 0.019285185477264318, 0.084148195747824, 0.09048451736151915, 0.08772202216666834, 0.025591391504035686, -0.062007477386565556, -0.16134665985912855, -0.29889252511302716, -0.1383956115429916, -0.24115364684659088, 0.038209976680608916, -0.09148210740298462, -0.23988636333399035, 0.42365140266984186, 0.18124414913773793, 0.12449803643414334, 0.058608230356937914, 0.3011181003671011, 0.23197534134770054, 0.03213602843581988, 0.09020882757011287, 0.2042755090279288, 0.1824848041302677, 0.03159236277710518, -0.28496441127258704, -0.0014856885852701641, 0.09579056079884798] |
710.3964 | A note on a curious formula for Euler's constant | In this short note we will use the residue theorem to establish a formula for
Euler's constant. In particular, we offer a slightly generalized version of an
interesting infinite series due to Flajolet, Gourdon, and Dumas.
| math.NT | in this short note we will use the residue theorem to establish a formula for eulers constant in particular we offer a slightly generalized version of an interesting infinite series due to flajolet gourdon and dumas | [['in', 'this', 'short', 'note', 'we', 'will', 'use', 'the', 'residue', 'theorem', 'to', 'establish', 'a', 'formula', 'for', 'eulers', 'constant', 'in', 'particular', 'we', 'offer', 'a', 'slightly', 'generalized', 'version', 'of', 'an', 'interesting', 'infinite', 'series', 'due', 'to', 'flajolet', 'gourdon', 'and', 'dumas']] | [-0.1516606703452352, 0.05000735073351987, -0.17791029805731443, 0.13994180290481179, -0.13207715842872858, -0.13031040833124685, 0.06900516850873828, 0.28374310882969034, -0.2841971448312203, -0.22813774578066337, 0.0822948393243779, -0.22502297714042166, -0.17567729432549742, 0.23842489222685495, -0.18421151434692243, -0.035293216092718974, 0.029737987988887146, 0.029624696251832776, -0.0746464692056179, -0.28510800752944004, 0.2624097122138159, 0.04550429080134361, 0.19385694194999006, 0.13869527717017466, 0.08720089236481322, 0.09615448569982415, -0.03891196386474702, -0.02012015218173878, -0.24235366134800845, 0.15232089376594457, 0.24482760711624804, 0.05965685575372643, 0.2850966828280232, -0.38772810405741137, -0.07721020030375156, 0.1403431455966913, 0.14808531428894234, 0.14301473530940711, -0.054873544024303555, -0.21441114876910838, 0.10579108854290098, -0.24392965415285695, -0.2066415637317631, -0.07171750798200567, 0.0474302181456652, 0.0445445103622559, -0.24337547101701298, 0.0476892069240825, 0.14037322995459867, 0.06624880189903909, -0.03576138105967806, -0.1223459147537748, 0.1615579311425487, 0.031386711815786034, 0.07758741054890884, 0.03462341245419035, -0.031124066225149565, -0.06257301268245404, -0.08520311070606112, 0.33201334775528973, -0.13883961854217988, -0.19793964699945515, 0.11393759810986619, -0.09194445312540564, -0.2259312539956429, 0.056308279590060316, 0.13456592616987312, 0.1459694931205983, -0.09852821271245678, 0.11779453517293506, -0.10418151313852933, 0.10395313560083094, 0.15888109422909716, 0.0003898818977177143, 0.13205961182797588, 0.04863238028742166, 0.03979957768590086, 0.2412452739663422, -0.0062826343605087865, -0.0447668986614897, -0.30931974114436245, -0.21986689553078678, -0.14459729900247315, 0.15620974068426424, -0.07013144179776039, -0.19971136677001292, 0.33644665705247057, 0.11784181815002942, 0.15303636694928477, 0.16205768717271793, 0.19399710977450013, 0.13693905585548943, 0.011928645990944156, 0.025288581072042387, 0.11999140412727785, 0.18488875145299566, 0.13223121219521594, -0.09013287305262768, -0.004718704136191971, 0.17954103175240257] |
710.3965 | Quasisymmetric functions and Kazhdan-Lusztig polynomials | We associate a quasisymmetric function to any Bruhat interval in a general
Coxeter group. This association can be seen to be a morphism of Hopf algebras
to the subalgebra of all peak functions, leading to an extension of the
cd-index of convex polytopes. We show how the Kazhdan-Lusztig polynomial of the
Bruhat interval can be expressed in terms of this complete cd-index and
otherwise explicit combinatorially defined polynomials. In particular, we
obtain the simplest closed formula for the Kazhdan-Lusztig polynomials that
holds in complete generality.
| math.CO math.RT | we associate a quasisymmetric function to any bruhat interval in a general coxeter group this association can be seen to be a morphism of hopf algebras to the subalgebra of all peak functions leading to an extension of the cdindex of convex polytopes we show how the kazhdanlusztig polynomial of the bruhat interval can be expressed in terms of this complete cdindex and otherwise explicit combinatorially defined polynomials in particular we obtain the simplest closed formula for the kazhdanlusztig polynomials that holds in complete generality | [['we', 'associate', 'a', 'quasisymmetric', 'function', 'to', 'any', 'bruhat', 'interval', 'in', 'a', 'general', 'coxeter', 'group', 'this', 'association', 'can', 'be', 'seen', 'to', 'be', 'a', 'morphism', 'of', 'hopf', 'algebras', 'to', 'the', 'subalgebra', 'of', 'all', 'peak', 'functions', 'leading', 'to', 'an', 'extension', 'of', 'the', 'cdindex', 'of', 'convex', 'polytopes', 'we', 'show', 'how', 'the', 'kazhdanlusztig', 'polynomial', 'of', 'the', 'bruhat', 'interval', 'can', 'be', 'expressed', 'in', 'terms', 'of', 'this', 'complete', 'cdindex', 'and', 'otherwise', 'explicit', 'combinatorially', 'defined', 'polynomials', 'in', 'particular', 'we', 'obtain', 'the', 'simplest', 'closed', 'formula', 'for', 'the', 'kazhdanlusztig', 'polynomials', 'that', 'holds', 'in', 'complete', 'generality']] | [-0.1712563540238668, 0.025760316964656606, -0.07775802944293793, 0.09397585322970853, -0.14523945561993648, -0.11249448621426435, 0.01903522653395639, 0.3437506185077569, -0.41172845979385514, -0.16156524587559568, 0.08082236699102556, -0.19055733150966903, -0.16055899410892058, 0.16751736428807765, -0.1950573013191495, -0.04491387710851782, 0.050666215881595714, 0.0841190287240726, -0.12545490038909896, -0.31167177270330926, 0.32144594446701164, -0.034337352690122586, 0.18298853923950126, 0.09672437355141429, 0.09213104571818428, -0.0038719055955024327, 0.03230933097245939, 0.020884443093639085, -0.15229373236558305, 0.10460680685184129, 0.36066229783327264, 0.11873182433054727, 0.1782371851012987, -0.3764675371403642, -0.05818694896913846, 0.24923088744501856, 0.2242997956516988, 0.030840054154396057, 0.011933196631862836, -0.209483933054349, 0.06409083463470726, -0.21140902500380487, -0.20443097361746956, -0.0536721641307368, 0.04728300302453777, 0.023841820964041877, -0.3354123425615184, 0.03264036192832624, 0.089987187372411, 0.13396928800160393, -0.02866277679362718, -0.08643315277637585, -0.059849500135682965, 0.09641407214050346, -0.09721006586709444, 0.08468781490536297, 0.06137805933899739, -0.05965230538893272, -0.20859373159268324, 0.4093025876647409, -0.017627038193099638, -0.3022095347809441, 0.05796917303437915, -0.2658312245107749, -0.19729542247951032, 0.11986469993477358, 0.10301072681870531, 0.13433702640605213, -0.07527797886115663, 0.13863266344278063, -0.18747308116734904, 0.007128210190464468, 0.167351249408196, 0.012262437438510139, 0.12489200201542938, 0.037433462565326515, 0.03432209860971745, 0.213712322740706, 0.10512627784491461, -0.01596718498998705, -0.3564590955125716, -0.2215264174977646, -0.11808508728932152, 0.0918212205171585, -0.17368498555203105, -0.21769675694625168, 0.4384296104311943, 0.08663035328773891, 0.17379074459347654, 0.15557861880344503, 0.15325433554620865, 0.13411897703566972, 0.10413632366587133, -0.0010557794395615074, 0.13009468721335424, 0.22993008178001378, -0.034311254618360716, -0.12349285094396156, 0.030411159203333014, 0.25470665802302606] |
710.3966 | Overview of progress in neutrino scattering measurements | Recent progress in neutrino scattering experiments with few GeV neutrino
beams is reviewed, focusing on new experimental input since the beginning of
the NuInt workshop series in 2001. Progress in neutrino quasi-elastic
scattering, resonance production, coherent pion production, scattering in the
transition region between the resonance and deep inelastic regimes, and nuclear
effects in neutrino-nucleus scattering, is discussed.
| hep-ex | recent progress in neutrino scattering experiments with few gev neutrino beams is reviewed focusing on new experimental input since the beginning of the nuint workshop series in 2001 progress in neutrino quasielastic scattering resonance production coherent pion production scattering in the transition region between the resonance and deep inelastic regimes and nuclear effects in neutrinonucleus scattering is discussed | [['recent', 'progress', 'in', 'neutrino', 'scattering', 'experiments', 'with', 'few', 'gev', 'neutrino', 'beams', 'is', 'reviewed', 'focusing', 'on', 'new', 'experimental', 'input', 'since', 'the', 'beginning', 'of', 'the', 'nuint', 'workshop', 'series', 'in', '2001', 'progress', 'in', 'neutrino', 'quasielastic', 'scattering', 'resonance', 'production', 'coherent', 'pion', 'production', 'scattering', 'in', 'the', 'transition', 'region', 'between', 'the', 'resonance', 'and', 'deep', 'inelastic', 'regimes', 'and', 'nuclear', 'effects', 'in', 'neutrinonucleus', 'scattering', 'is', 'discussed']] | [-0.04970557905995009, 0.2788292067615609, -0.02948574078056896, 0.1591801057986327, -0.04914101089040438, -0.07506206781979192, 0.0014765993365200988, 0.39124928284109683, -0.22175651615518227, -0.22959221379929468, -0.012211736399892783, -0.38350617741806464, -0.06384094019436784, 0.2123466053520117, 0.1193731224951702, 0.1138021433889343, 0.12675224878547484, -0.033516436178041134, -0.04044095482350441, -0.22559125167562774, 0.3398743546322772, 0.12283386485681771, 0.30735390515703903, 0.2234832026195108, 0.06181568084611443, 0.11447732124412269, -0.052626586280223965, -0.1896350084387354, -0.1017888951393073, 0.0833604156464469, 0.3401242096238492, 0.06125364746702345, 0.08280041369429805, -0.4678259929642081, -0.19546803364758952, 0.05432547540240513, 0.1576267226457212, 0.09783834782674124, -0.136046250802138, -0.33577747164261446, -0.10293392854203519, -0.19587290849079164, -0.050232760118026486, -0.04095825420594529, 0.03657523733808806, -0.013099796710568563, -0.2506822338817935, 0.06775931425376289, -0.06480138163948268, 0.0453468592625046, -0.03375411389003459, -0.18495022070904574, 0.10939794032540369, 0.010737053068799452, 0.12964802231280165, 0.02225727554034899, 0.15429996829398238, -0.21862397401740677, -0.1426434975052089, 0.33561103604733944, -0.048666975881675616, -0.029085563585619655, 0.12528877658769488, -0.28535159750792544, -0.12926789838820696, 0.22390939654749736, 0.24250595070617764, 0.0496408433220431, -0.203476694388021, 0.09911783210925039, -0.041156448717964325, 0.1251767057549666, 0.12028286028898467, 0.025220299787051453, 0.22788563517755583, 0.36291509487649853, -0.061754728945200905, -0.02887719725830513, -0.19660926062466674, -0.08570096347677081, -0.3939823401732403, 0.01717227937555627, -0.05154850399285032, 0.05163303625426794, 0.07317068038984169, -0.04600241015616216, 0.3273828817825568, 0.0967258430788653, 0.2505814072332884, -0.11872326055737703, 0.32533000541132007, 0.08709706862971775, 0.012990227753394529, 0.00620342315615792, 0.40026265297803965, 0.24583129238402635, 0.2033650618651065, -0.27857195357220216, 0.010577980961993728, 0.014367362071776338] |
710.3967 | Associahedra, Cyclohedra and a Topological solution to the
A_{\infty}--Deligne conjecture | We give a topological solution to the $\Ainf$ Deligne conjecture using
associahedra and cyclohedra. For this we construct three CW complexes whose
cells are indexed by products of polytopes. Giving new explicit realizations of
the polytopes in terms of different types of trees, we are able to show that
the CW complexes are cell models for the little discs. The cellular chains of
one complex in particular, which is built out of associahedra and cyclohedra,
naturally acts on the Hochschild cochains of an $\Ainf$ algebra yielding an
explicit, topological and minimal solution to the $\Ainf$ Deligne conjecture.
Along the way we obtain new results about the cyclohedra, such as a new
decompositions into products of cubes and simplices, which can be used to
realize them via a new iterated blow--up construction.
| math.AT math.QA | we give a topological solution to the ainf deligne conjecture using associahedra and cyclohedra for this we construct three cw complexes whose cells are indexed by products of polytopes giving new explicit realizations of the polytopes in terms of different types of trees we are able to show that the cw complexes are cell models for the little discs the cellular chains of one complex in particular which is built out of associahedra and cyclohedra naturally acts on the hochschild cochains of an ainf algebra yielding an explicit topological and minimal solution to the ainf deligne conjecture along the way we obtain new results about the cyclohedra such as a new decompositions into products of cubes and simplices which can be used to realize them via a new iterated blowup construction | [['we', 'give', 'a', 'topological', 'solution', 'to', 'the', 'ainf', 'deligne', 'conjecture', 'using', 'associahedra', 'and', 'cyclohedra', 'for', 'this', 'we', 'construct', 'three', 'cw', 'complexes', 'whose', 'cells', 'are', 'indexed', 'by', 'products', 'of', 'polytopes', 'giving', 'new', 'explicit', 'realizations', 'of', 'the', 'polytopes', 'in', 'terms', 'of', 'different', 'types', 'of', 'trees', 'we', 'are', 'able', 'to', 'show', 'that', 'the', 'cw', 'complexes', 'are', 'cell', 'models', 'for', 'the', 'little', 'discs', 'the', 'cellular', 'chains', 'of', 'one', 'complex', 'in', 'particular', 'which', 'is', 'built', 'out', 'of', 'associahedra', 'and', 'cyclohedra', 'naturally', 'acts', 'on', 'the', 'hochschild', 'cochains', 'of', 'an', 'ainf', 'algebra', 'yielding', 'an', 'explicit', 'topological', 'and', 'minimal', 'solution', 'to', 'the', 'ainf', 'deligne', 'conjecture', 'along', 'the', 'way', 'we', 'obtain', 'new', 'results', 'about', 'the', 'cyclohedra', 'such', 'as', 'a', 'new', 'decompositions', 'into', 'products', 'of', 'cubes', 'and', 'simplices', 'which', 'can', 'be', 'used', 'to', 'realize', 'them', 'via', 'a', 'new', 'iterated', 'blowup', 'construction']] | [-0.13329921669383596, 0.07466103898859867, -0.07274120659318589, 0.07817948572622001, -0.09490652753480973, -0.10656352372633876, 0.02249084279840485, 0.3614680677668355, -0.3377492206725683, -0.23030923801751538, 0.12229560001198743, -0.225940024497997, -0.1799797679489578, 0.2118660298652435, -0.12783054151849552, -0.038304528057973346, 0.033263038711458845, 0.012903902818313764, -0.04671985960835662, -0.3001491636862509, 0.3657136992018186, -0.004568405676889055, 0.2041625651772639, 0.04425583487618288, 0.11969440720818994, -0.03231232580799922, -0.009013669853247986, -0.013880394498696763, -0.19573049941696696, 0.19746235366697415, 0.256940403440795, 0.1039029767146718, 0.13080667237971574, -0.4241084945423685, -0.1332983900737355, 0.14327260159944247, 0.1468295276108134, 0.11470445345568236, -0.014211468893558298, -0.26866354708709106, 0.11116333136989073, -0.1896924267639406, -0.12908182762748072, -0.12671540511900004, 0.009396068686050654, 0.0319668467348541, -0.24428914596134696, -0.036771831532783864, 0.0809493436449641, 0.06964440779575637, -0.056364266411579066, -0.11642063486937235, -0.07704732075461564, 0.1213768612884895, -0.030901488892463896, -0.0058022681339323975, 0.05598361400411045, -0.0760408038440523, -0.2028495678464875, 0.36983886834603685, -0.017160183181346374, -0.21341499694416882, 0.188954979311035, -0.10841017165967753, -0.16829449816816663, 0.12354673005868005, 0.0897287554996273, 0.15886925647874142, -0.06987552712707006, 0.08983274325835057, -0.10481780510082955, 0.05963870997625965, 0.15266677640904566, 0.02294132343443637, 0.1816061990875893, 0.12031049667928681, 0.08620474636305892, 0.19045125270982846, 0.019930856437235717, -0.07788542117781312, -0.2856398812488063, -0.2195294477022875, -0.10267526829146019, 0.10982417857686755, -0.1279036507205078, -0.19111582135269775, 0.3949499014366902, 0.05580243057009714, 0.21964465100176006, 0.09910797845849498, 0.21978696435689926, 0.056686858226232345, 0.09673402179032564, -0.003986929120311073, 0.1123444919229151, 0.19239105473144535, 0.015153939263425937, -0.08758828591222996, -0.02591884462518319, 0.19159306436492743] |
710.3968 | Gromov-Witten invariants of blow-ups along submanifolds with convex
normal bundles | Given a submanifold Z inside X, let Y be the blow-up of X along Z. When the
normal bundle of Z in X is convex with a minor assumption, we prove that
genus-zero GW-invariants of Y with cohomology insertions from X, are identical
to GW-invariants of X. Under the same hypothesis, a vanishing theorem is also
proved. An example to which these two theorems apply is when the normal bundle
is generated by global sections. These two main theorems do not hold for
arbitrary blow-ups, and counter-examples are included.
| math.AG | given a submanifold z inside x let y be the blowup of x along z when the normal bundle of z in x is convex with a minor assumption we prove that genuszero gwinvariants of y with cohomology insertions from x are identical to gwinvariants of x under the same hypothesis a vanishing theorem is also proved an example to which these two theorems apply is when the normal bundle is generated by global sections these two main theorems do not hold for arbitrary blowups and counterexamples are included | [['given', 'a', 'submanifold', 'z', 'inside', 'x', 'let', 'y', 'be', 'the', 'blowup', 'of', 'x', 'along', 'z', 'when', 'the', 'normal', 'bundle', 'of', 'z', 'in', 'x', 'is', 'convex', 'with', 'a', 'minor', 'assumption', 'we', 'prove', 'that', 'genuszero', 'gwinvariants', 'of', 'y', 'with', 'cohomology', 'insertions', 'from', 'x', 'are', 'identical', 'to', 'gwinvariants', 'of', 'x', 'under', 'the', 'same', 'hypothesis', 'a', 'vanishing', 'theorem', 'is', 'also', 'proved', 'an', 'example', 'to', 'which', 'these', 'two', 'theorems', 'apply', 'is', 'when', 'the', 'normal', 'bundle', 'is', 'generated', 'by', 'global', 'sections', 'these', 'two', 'main', 'theorems', 'do', 'not', 'hold', 'for', 'arbitrary', 'blowups', 'and', 'counterexamples', 'are', 'included']] | [-0.1818249071137247, 0.09852136364563112, -0.09682783841291505, 0.07600157836117269, -0.02122865684246749, -0.20623392972237106, 0.009828952517820878, 0.3830794097248758, -0.2768827797321791, -0.1789360360054069, 0.09043680984144925, -0.26934075479008507, -0.08691393373157369, 0.18910652538369085, -0.1370178930817193, -0.02722123723995108, 0.036254772644364434, 0.07240399744445353, -0.12058201702991815, -0.33869432603804334, 0.3868304586896066, -0.10995806222049039, 0.22097194361176048, 0.06093456628771624, 0.12235247212451662, 0.03539205017091518, -0.003413410062033139, -0.009699147479776083, -0.13697156396191215, 0.08404121082276106, 0.28803602350729235, 0.07618509488065173, 0.19973016064614058, -0.35550324122808624, -0.12848494491759646, 0.20549817187083738, 0.10846002737918262, -0.003781939753373101, 0.0022677289233072086, -0.24715832710852115, 0.20422917005888533, -0.05891122552827838, -0.19576891134440733, -0.048918509322187206, 0.03478138741063938, 0.07093648539249146, -0.272346259523811, 0.014161283126443604, 0.153388182454732, 0.06440515438450521, -0.02811527174238241, -0.10300574299952622, -0.15931159404388975, 0.05195274943122222, 0.07989757009938861, 0.12340446555296357, 0.09974022538419498, -0.03294048871154363, -0.08636387072377995, 0.3311183273457409, -0.07225506148939387, -0.24598466134054608, 0.11853816412360502, -0.1906531423047771, -0.17467834531026108, 0.1625128191335943, 0.09399513059996822, 0.17244592171915796, -0.0820736370714554, 0.20024948108750343, -0.10945104543914956, 0.09484474761202262, 0.08871893146797345, -0.042387967317082574, 0.15228439154877757, 0.061894919948254745, 0.09476298116555626, 0.0693231949444044, -0.03359750120474151, -0.005935055847290192, -0.42916448539897295, -0.21238508642640677, -0.117061025317689, 0.21744419519512867, -0.09828174598707969, -0.1422381287733658, 0.27481693437511334, 0.04080060308045718, 0.24877620883955714, 0.09771806749468145, 0.22759346946487935, 0.06899533050364992, 0.014797414946003576, 0.0646510027202495, 0.12872739665450925, 0.2078821089961095, -0.02541114048760259, -0.06025647136299044, 0.030936545336598092, 0.1657030973269531] |
710.3969 | Primordial Mass Segregation in Starburst Stellar Clusters | We present a model to explain the mass segregation and shallow mass functions
observed in the central parts of dense and young starburst stellar clusters.
The model assumes that the initial pre-stellar cores mass function resulting
from the turbulent fragmentation of the proto-cluster cloud is significantly
altered by the cores coalescence before they collapse to form stars. With
appropriate, yet realistic parameters, this model based on the competition
between cores coalescence and collapse reproduces the mass spectra of the well
studied Arches cluster. Namely, the slopes at the intermediate and high mass
ends are reproduced, as well as the peculiar bump observed at 6 M_sol. This
coalescence-collapse process occurs on short timescale of the order of one
fourth the free fall time of the proto-cluster cloud (i.e., a few 10^{4}
years), suggesting that mass segregation in Arches and similar clusters is
primordial. The best fitting model implies the total mass of the Arches cluster
is 1.45 10^{5} M_sol, which is slightly higher than the often quoted, but
completeness affected, observational value of a few 10^{4} M_sol. The derived
star formation efficiency is ~30 percent which implies that the Arches cluster
is likely to be gravitationally bound.
| astro-ph | we present a model to explain the mass segregation and shallow mass functions observed in the central parts of dense and young starburst stellar clusters the model assumes that the initial prestellar cores mass function resulting from the turbulent fragmentation of the protocluster cloud is significantly altered by the cores coalescence before they collapse to form stars with appropriate yet realistic parameters this model based on the competition between cores coalescence and collapse reproduces the mass spectra of the well studied arches cluster namely the slopes at the intermediate and high mass ends are reproduced as well as the peculiar bump observed at 6 m_sol this coalescencecollapse process occurs on short timescale of the order of one fourth the free fall time of the protocluster cloud ie a few 104 years suggesting that mass segregation in arches and similar clusters is primordial the best fitting model implies the total mass of the arches cluster is 145 105 m_sol which is slightly higher than the often quoted but completeness affected observational value of a few 104 m_sol the derived star formation efficiency is 30 percent which implies that the arches cluster is likely to be gravitationally bound | [['we', 'present', 'a', 'model', 'to', 'explain', 'the', 'mass', 'segregation', 'and', 'shallow', 'mass', 'functions', 'observed', 'in', 'the', 'central', 'parts', 'of', 'dense', 'and', 'young', 'starburst', 'stellar', 'clusters', 'the', 'model', 'assumes', 'that', 'the', 'initial', 'prestellar', 'cores', 'mass', 'function', 'resulting', 'from', 'the', 'turbulent', 'fragmentation', 'of', 'the', 'protocluster', 'cloud', 'is', 'significantly', 'altered', 'by', 'the', 'cores', 'coalescence', 'before', 'they', 'collapse', 'to', 'form', 'stars', 'with', 'appropriate', 'yet', 'realistic', 'parameters', 'this', 'model', 'based', 'on', 'the', 'competition', 'between', 'cores', 'coalescence', 'and', 'collapse', 'reproduces', 'the', 'mass', 'spectra', 'of', 'the', 'well', 'studied', 'arches', 'cluster', 'namely', 'the', 'slopes', 'at', 'the', 'intermediate', 'and', 'high', 'mass', 'ends', 'are', 'reproduced', 'as', 'well', 'as', 'the', 'peculiar', 'bump', 'observed', 'at', '6', 'm_sol', 'this', 'coalescencecollapse', 'process', 'occurs', 'on', 'short', 'timescale', 'of', 'the', 'order', 'of', 'one', 'fourth', 'the', 'free', 'fall', 'time', 'of', 'the', 'protocluster', 'cloud', 'ie', 'a', 'few', '104', 'years', 'suggesting', 'that', 'mass', 'segregation', 'in', 'arches', 'and', 'similar', 'clusters', 'is', 'primordial', 'the', 'best', 'fitting', 'model', 'implies', 'the', 'total', 'mass', 'of', 'the', 'arches', 'cluster', 'is', '145', '105', 'm_sol', 'which', 'is', 'slightly', 'higher', 'than', 'the', 'often', 'quoted', 'but', 'completeness', 'affected', 'observational', 'value', 'of', 'a', 'few', '104', 'm_sol', 'the', 'derived', 'star', 'formation', 'efficiency', 'is', '30', 'percent', 'which', 'implies', 'that', 'the', 'arches', 'cluster', 'is', 'likely', 'to', 'be', 'gravitationally', 'bound']] | [-0.08223803512728176, 0.16011359635024117, -0.058584212867590864, 0.14606073566937994, -0.031008114748132917, -0.03032794370053288, 0.061975664595285286, 0.34023189921027575, -0.15640688569117814, -0.3921146892345487, 0.05216247549352165, -0.2315989008030066, -0.004113222013872403, 0.13818101310290587, 0.0014134654458851004, -0.022687167898775677, 0.09363299172180585, 0.005475694581102102, -0.043349757620420024, -0.2664184981957078, 0.3406005615058045, 0.073036759509108, 0.18739651622137246, 0.02674831766157578, 0.05953169845892355, -0.12579139742331627, -0.01735863232603058, -0.03794070252527793, -0.1589935007283855, 0.017540450306394353, 0.14119439487560437, 0.1200115768573223, 0.24135425676329014, -0.36200407886734376, -0.20513739045709373, 0.06047487822413528, 0.21778952446407995, 0.0474899802589789, -0.05324887088499963, -0.24457718207596396, 0.100205745229211, -0.2195402472291906, -0.1752155240553503, 0.08736509668509453, 0.056283529019222046, 0.020646155193352545, -0.2328926333727745, 0.22758782206712147, 0.016648748790463193, 0.00495274966248335, -0.10765265106128004, -0.14399795485899233, -0.08866283776572882, 0.06604440264069499, 0.021921856663016697, 0.09070083489402747, 0.2393687270844403, -0.1381610216668401, 0.01640328640261522, 0.4370904147147368, -0.037220394436810286, -0.023989438593912966, 0.2504244620458056, -0.21616941425585165, -0.18280719924861422, 0.16859506994891815, 0.12919273200229955, 0.10249462607913674, -0.15351584482317168, -0.0361541238723872, -0.02197793341982059, 0.23152437010923257, 0.08462115862669471, 0.004493073577013535, 0.3142199644809947, 0.1807253385356699, 0.005718123939079352, 0.09585496460099538, -0.14805453050738343, -0.12691317580592557, -0.22418680856159579, -0.07592148770942377, -0.1481519717991782, 0.04702017984878367, -0.13914837420713574, -0.13456427578856117, 0.31590968266201136, 0.09757390756231661, 0.25760208452359223, 0.07714992721553128, 0.26866375929317793, 0.11634920443742512, 0.16479665850742886, 0.1306765682852039, 0.28642363930598663, 0.17666041360069543, 0.07062576371483886, -0.20879424107380404, 0.0877359178609764, 0.0028968526587749904] |
710.397 | An Overview of the SPACE Mission Proposal | SPACE (SPectroscopic All-sky Cosmic Explorer) is a class-M mission proposed
to ESA for the Cosmic Vision 2015-2025 call and recently promoted to the next
assessment study phase. SPACE will produce the first all-sky spectroscopic
survey of the Universe, taking spectra of more than 500 million galaxies over a
wide range of redshifts. SPACE will operate in slit mode (MEMS) at R~400
between 0.8 and 1.8micron down to AB~23, providing redshifts to an accuracy of
Delta z~0.001, regardless on the presence of bright emission lines, together
with the most relevant physical and evolutionary properties. The catalog of
spectroscopic redshift will allow to place the ultimate constraints on the
Baryon Acoustic Oscillations and the nature of Dark Energy. By obtaining the
first 3-D all-sky map of the Universe at z~2 and beyond, SPACE will trace the
growth rate of cosmic structures, the large scale structure of luminous baryons
and its cosmic evolution. Besides the all-sky survey, SPACE will carry out a
deep extragalactic survey over an area of ~10 sq. deg., enabling a most
powerful supernova search program, and a galactic plane survey in integral
field mode. Approximately 30% of the time will be open. Due to its versatility,
SPACE is a ``self-sufficient'' observatory which can attack and solve the most
compelling questions on the nature of the Dark Energy without complementary
data from the Earth or space. Its unique wide-field capabilities in the near-IR
make SPACE the ideal complement to JWST, ALMA, and the future 25-50 m
telescopes.
| astro-ph | space spectroscopic allsky cosmic explorer is a classm mission proposed to esa for the cosmic vision 20152025 call and recently promoted to the next assessment study phase space will produce the first allsky spectroscopic survey of the universe taking spectra of more than 500 million galaxies over a wide range of redshifts space will operate in slit mode mems at r400 between 08 and 18micron down to ab23 providing redshifts to an accuracy of delta z0001 regardless on the presence of bright emission lines together with the most relevant physical and evolutionary properties the catalog of spectroscopic redshift will allow to place the ultimate constraints on the baryon acoustic oscillations and the nature of dark energy by obtaining the first 3d allsky map of the universe at z2 and beyond space will trace the growth rate of cosmic structures the large scale structure of luminous baryons and its cosmic evolution besides the allsky survey space will carry out a deep extragalactic survey over an area of 10 sq deg enabling a most powerful supernova search program and a galactic plane survey in integral field mode approximately 30 of the time will be open due to its versatility space is a selfsufficient observatory which can attack and solve the most compelling questions on the nature of the dark energy without complementary data from the earth or space its unique widefield capabilities in the nearir make space the ideal complement to jwst alma and the future 2550 m telescopes | [['space', 'spectroscopic', 'allsky', 'cosmic', 'explorer', 'is', 'a', 'classm', 'mission', 'proposed', 'to', 'esa', 'for', 'the', 'cosmic', 'vision', '20152025', 'call', 'and', 'recently', 'promoted', 'to', 'the', 'next', 'assessment', 'study', 'phase', 'space', 'will', 'produce', 'the', 'first', 'allsky', 'spectroscopic', 'survey', 'of', 'the', 'universe', 'taking', 'spectra', 'of', 'more', 'than', '500', 'million', 'galaxies', 'over', 'a', 'wide', 'range', 'of', 'redshifts', 'space', 'will', 'operate', 'in', 'slit', 'mode', 'mems', 'at', 'r400', 'between', '08', 'and', '18micron', 'down', 'to', 'ab23', 'providing', 'redshifts', 'to', 'an', 'accuracy', 'of', 'delta', 'z0001', 'regardless', 'on', 'the', 'presence', 'of', 'bright', 'emission', 'lines', 'together', 'with', 'the', 'most', 'relevant', 'physical', 'and', 'evolutionary', 'properties', 'the', 'catalog', 'of', 'spectroscopic', 'redshift', 'will', 'allow', 'to', 'place', 'the', 'ultimate', 'constraints', 'on', 'the', 'baryon', 'acoustic', 'oscillations', 'and', 'the', 'nature', 'of', 'dark', 'energy', 'by', 'obtaining', 'the', 'first', '3d', 'allsky', 'map', 'of', 'the', 'universe', 'at', 'z2', 'and', 'beyond', 'space', 'will', 'trace', 'the', 'growth', 'rate', 'of', 'cosmic', 'structures', 'the', 'large', 'scale', 'structure', 'of', 'luminous', 'baryons', 'and', 'its', 'cosmic', 'evolution', 'besides', 'the', 'allsky', 'survey', 'space', 'will', 'carry', 'out', 'a', 'deep', 'extragalactic', 'survey', 'over', 'an', 'area', 'of', '10', 'sq', 'deg', 'enabling', 'a', 'most', 'powerful', 'supernova', 'search', 'program', 'and', 'a', 'galactic', 'plane', 'survey', 'in', 'integral', 'field', 'mode', 'approximately', '30', 'of', 'the', 'time', 'will', 'be', 'open', 'due', 'to', 'its', 'versatility', 'space', 'is', 'a', 'selfsufficient', 'observatory', 'which', 'can', 'attack', 'and', 'solve', 'the', 'most', 'compelling', 'questions', 'on', 'the', 'nature', 'of', 'the', 'dark', 'energy', 'without', 'complementary', 'data', 'from', 'the', 'earth', 'or', 'space', 'its', 'unique', 'widefield', 'capabilities', 'in', 'the', 'nearir', 'make', 'space', 'the', 'ideal', 'complement', 'to', 'jwst', 'alma', 'and', 'the', 'future', '2550', 'm', 'telescopes']] | [-0.0882952431099478, 0.09804693358652916, -0.06902981773094248, 0.0843477339647816, -0.156118452772385, -0.017000659969390222, 0.04835920808610585, 0.37024494894753823, -0.2175448969688063, -0.36193567128882176, 0.11842194575696678, -0.3206227023818112, -0.018390492929206022, 0.23978779823194965, 0.017055915925003256, -0.013789329220878284, 0.05497615532157754, -0.06883150456673069, -0.024675101454137364, -0.29556027556456593, 0.27802082241667425, 0.17655688861226154, 0.2128686082977349, -0.040561579354484435, 0.11908187050427035, -0.04806657447687045, -0.1123442651783135, -0.022778456689891695, -0.17384927859712487, 0.07814112299372657, 0.26964270032977405, 0.1830519330744379, 0.2454274349482089, -0.34714339497812124, -0.20807235252002804, 0.12673078491616435, 0.17589969232688193, 0.03481030568569099, -0.024885747541952972, -0.31350875117623733, 0.05364740575330996, -0.13575460751039478, -0.15625790044710583, -0.026585855608455354, 0.014053291481399253, 0.016830534012733697, -0.1838766837876473, 0.023408995793287753, -0.039804141450997255, 0.0760853065815019, -0.12734395003385526, -0.06844677845099073, -0.03428699184390094, 0.09983888000279556, -0.030154531703072293, 0.1157317931866575, 0.12765755597879047, -0.17170187976420576, -0.04561469047085235, 0.4230501877703904, -0.08317865793922442, 0.005348893023861444, 0.16831621206657743, -0.20933255467277306, -0.15822982623124957, 0.16043028098942055, 0.18223877254683102, 0.08356653706232832, -0.16507531653147997, 0.08075786796883917, 0.032294584494762815, 0.21388243794439338, 0.04205381524511556, 0.09664617845711891, 0.32712668899884106, 0.18193229081991472, 0.12113304551349584, 0.07635742197871805, -0.23115831852875468, -0.02077377653069915, -0.26787703705862964, -0.1546461099630546, -0.14543327332124575, 0.07733551916847314, -0.09185999991255106, -0.09749908870282142, 0.38051712334058, 0.13912900657815339, 0.1704705704007343, 0.04470588418000909, 0.30868246290184226, -0.020511035075003983, 0.09138529948057864, 0.03360441501011039, 0.30997864699164623, 0.10136406243824012, 0.14752775818573288, -0.17627118798708052, -0.014436688047441604, 0.004917900924484136] |
710.3971 | Spontaneous Supersymmetry Breaking by Large-N Matrices | Motivated by supersymmetry breaking in matrix model formulations of
superstrings, we present some concrete models, in which the supersymmetry is
preserved for any finite $N$, but gets broken at infinite $N$, where $N$ is the
rank of matrix variables. The models are defined as supersymmetric field
theories coupled to some matrix models, and in the induced action obtained
after integrating out the matrices, supersymmetry is spontaneously broken only
when $N$ is infinity. In our models, the large value of $N$ gives a natural
explanation for the origin of small parameters appearing in the field theories
which trigger the supersymmetry breaking. In particular, in the case of the
O'Raifeartaigh model coupled to a certain supersymmetric matrix model, a
nonsupersymmetric metastable vacuum appears near the origin of the field space,
which is far from the position of the supersymmetric vacuum. We estimate its
lifetime as a function of $N$.
| hep-th hep-ph | motivated by supersymmetry breaking in matrix model formulations of superstrings we present some concrete models in which the supersymmetry is preserved for any finite n but gets broken at infinite n where n is the rank of matrix variables the models are defined as supersymmetric field theories coupled to some matrix models and in the induced action obtained after integrating out the matrices supersymmetry is spontaneously broken only when n is infinity in our models the large value of n gives a natural explanation for the origin of small parameters appearing in the field theories which trigger the supersymmetry breaking in particular in the case of the oraifeartaigh model coupled to a certain supersymmetric matrix model a nonsupersymmetric metastable vacuum appears near the origin of the field space which is far from the position of the supersymmetric vacuum we estimate its lifetime as a function of n | [['motivated', 'by', 'supersymmetry', 'breaking', 'in', 'matrix', 'model', 'formulations', 'of', 'superstrings', 'we', 'present', 'some', 'concrete', 'models', 'in', 'which', 'the', 'supersymmetry', 'is', 'preserved', 'for', 'any', 'finite', 'n', 'but', 'gets', 'broken', 'at', 'infinite', 'n', 'where', 'n', 'is', 'the', 'rank', 'of', 'matrix', 'variables', 'the', 'models', 'are', 'defined', 'as', 'supersymmetric', 'field', 'theories', 'coupled', 'to', 'some', 'matrix', 'models', 'and', 'in', 'the', 'induced', 'action', 'obtained', 'after', 'integrating', 'out', 'the', 'matrices', 'supersymmetry', 'is', 'spontaneously', 'broken', 'only', 'when', 'n', 'is', 'infinity', 'in', 'our', 'models', 'the', 'large', 'value', 'of', 'n', 'gives', 'a', 'natural', 'explanation', 'for', 'the', 'origin', 'of', 'small', 'parameters', 'appearing', 'in', 'the', 'field', 'theories', 'which', 'trigger', 'the', 'supersymmetry', 'breaking', 'in', 'particular', 'in', 'the', 'case', 'of', 'the', 'oraifeartaigh', 'model', 'coupled', 'to', 'a', 'certain', 'supersymmetric', 'matrix', 'model', 'a', 'nonsupersymmetric', 'metastable', 'vacuum', 'appears', 'near', 'the', 'origin', 'of', 'the', 'field', 'space', 'which', 'is', 'far', 'from', 'the', 'position', 'of', 'the', 'supersymmetric', 'vacuum', 'we', 'estimate', 'its', 'lifetime', 'as', 'a', 'function', 'of', 'n']] | [-0.13851655060330367, 0.21566909296298717, -0.028840082707073614, 0.08503983804059602, -0.026801050697662393, -0.17904290978537024, -0.007364163332029569, 0.30168341139496185, -0.2265647805999128, -0.28298414386111964, 0.12512616751965794, -0.2551424001109134, -0.13353795987010622, 0.07243004108804474, -0.024367509175370745, 0.029882322419925788, -0.027308579036953294, 0.09067195920957899, -0.10572189724604998, -0.24628929771026786, 0.29831959677188574, 0.021047077601027933, 0.21944990505299652, 0.01976437924341077, 0.11112701119007669, -0.024155151811713467, 0.03951286845745481, -0.011367096537351925, -0.07457552070659744, 0.07589109542266446, 0.20903722522275436, 0.11144653499937382, 0.17551238498520613, -0.4349725588294519, -0.21073560280959774, 0.1676352718737306, 0.1529331036073593, 0.14671964321814504, -0.01930039204961183, -0.27269688043284046, 0.07204942028455458, -0.1479089041794872, -0.17687766241593933, -0.027751227400165057, 0.015036241943333424, -0.110672952594603, -0.2974737188105668, 0.059523538949259484, 0.01895838077845318, 0.03566446888963787, -0.04296458678456264, -0.09800811263187757, -0.06620402904195698, 0.05163110002537169, 0.13923879678845785, 0.021827169546705424, 0.12156923322108429, -0.20689172107333534, -0.09332086714174674, 0.39539965099281293, -0.07167961302238712, -0.2110339424186418, 0.13394728809639456, -0.1409839161190198, -0.1701691347383419, 0.1289908159714268, 0.11811040280399476, 0.1634687255186165, -0.09337748415329807, 0.24424952227696714, -0.06939718095256256, 0.1480729752505312, 0.04184653536498952, 0.023545427925783357, 0.22807211584734674, 0.1639485974276603, 0.046426862307196975, 0.13832147883213297, 0.00760956721849182, -0.13053445509147077, -0.42689975551297876, -0.12132809792018058, -0.17268105199699904, 0.08569833763786369, -0.12673548367308043, -0.15962119547485495, 0.3953558704245608, 0.12461480047857883, 0.24605945572193685, 0.06428224520779968, 0.20461928696200557, 0.1324335233629903, 0.09542974222730212, 0.0162098735323822, 0.21525044750452332, 0.14231651785884838, 0.06155835333134548, -0.21476634782992404, -0.04001597526679639, 0.12566056621393987] |
710.3972 | Centrality measures and thermodynamic formalism for complex networks | In the study of small and large networks it is customary to perform a simple
random walk, where the random walker jumps from one node to one of its
neighbours with uniform probability. The properties of this random walk are
intimately related to the combinatorial properties of the network. In this
paper we propose to use the Ruelle-Bowens random walk instead, whose
probability transitions are chosen in order to maximise the entropy rate of the
walk on an unweighted graph. If the graph is weighted, then a free energy is
optimised instead of entropy rate.
Specifically, we introduce a centrality measure for large networks, which is
the stationary distribution attained by the the Ruelle-Bowens random walk; we
name it Entropy Rank. We introduce a more general version, able to deal with
disconnected networks, under the name of Free Energy Rank. We compare the
properties of those centrality measures with the classic PageRank and HITS on
both toy and real-life examples, in particular their robustness to small
modifications of the network. It is observed that our centrality measures have
a better discriminating power than PageRank, being able to distinguish clearly
pages that PageRank holds for almost equally interesting, and is more sensitive
to the medium-scale details of the graph.
| physics.data-an cond-mat.stat-mech physics.soc-ph | in the study of small and large networks it is customary to perform a simple random walk where the random walker jumps from one node to one of its neighbours with uniform probability the properties of this random walk are intimately related to the combinatorial properties of the network in this paper we propose to use the ruellebowens random walk instead whose probability transitions are chosen in order to maximise the entropy rate of the walk on an unweighted graph if the graph is weighted then a free energy is optimised instead of entropy rate specifically we introduce a centrality measure for large networks which is the stationary distribution attained by the the ruellebowens random walk we name it entropy rank we introduce a more general version able to deal with disconnected networks under the name of free energy rank we compare the properties of those centrality measures with the classic pagerank and hits on both toy and reallife examples in particular their robustness to small modifications of the network it is observed that our centrality measures have a better discriminating power than pagerank being able to distinguish clearly pages that pagerank holds for almost equally interesting and is more sensitive to the mediumscale details of the graph | [['in', 'the', 'study', 'of', 'small', 'and', 'large', 'networks', 'it', 'is', 'customary', 'to', 'perform', 'a', 'simple', 'random', 'walk', 'where', 'the', 'random', 'walker', 'jumps', 'from', 'one', 'node', 'to', 'one', 'of', 'its', 'neighbours', 'with', 'uniform', 'probability', 'the', 'properties', 'of', 'this', 'random', 'walk', 'are', 'intimately', 'related', 'to', 'the', 'combinatorial', 'properties', 'of', 'the', 'network', 'in', 'this', 'paper', 'we', 'propose', 'to', 'use', 'the', 'ruellebowens', 'random', 'walk', 'instead', 'whose', 'probability', 'transitions', 'are', 'chosen', 'in', 'order', 'to', 'maximise', 'the', 'entropy', 'rate', 'of', 'the', 'walk', 'on', 'an', 'unweighted', 'graph', 'if', 'the', 'graph', 'is', 'weighted', 'then', 'a', 'free', 'energy', 'is', 'optimised', 'instead', 'of', 'entropy', 'rate', 'specifically', 'we', 'introduce', 'a', 'centrality', 'measure', 'for', 'large', 'networks', 'which', 'is', 'the', 'stationary', 'distribution', 'attained', 'by', 'the', 'the', 'ruellebowens', 'random', 'walk', 'we', 'name', 'it', 'entropy', 'rank', 'we', 'introduce', 'a', 'more', 'general', 'version', 'able', 'to', 'deal', 'with', 'disconnected', 'networks', 'under', 'the', 'name', 'of', 'free', 'energy', 'rank', 'we', 'compare', 'the', 'properties', 'of', 'those', 'centrality', 'measures', 'with', 'the', 'classic', 'pagerank', 'and', 'hits', 'on', 'both', 'toy', 'and', 'reallife', 'examples', 'in', 'particular', 'their', 'robustness', 'to', 'small', 'modifications', 'of', 'the', 'network', 'it', 'is', 'observed', 'that', 'our', 'centrality', 'measures', 'have', 'a', 'better', 'discriminating', 'power', 'than', 'pagerank', 'being', 'able', 'to', 'distinguish', 'clearly', 'pages', 'that', 'pagerank', 'holds', 'for', 'almost', 'equally', 'interesting', 'and', 'is', 'more', 'sensitive', 'to', 'the', 'mediumscale', 'details', 'of', 'the', 'graph']] | [-0.08214580212398749, 0.1221917218532785, -0.07955217494819204, 0.10569550535750115, -0.07215024011200565, -0.16325909430607566, 0.06164818359493703, 0.3992978897379729, -0.2729324315746939, -0.25417769703114385, 0.08457669494357141, -0.3131109153856388, -0.15874050585134858, 0.13337099146396283, -0.09598212079958791, 0.057281413319852946, 0.05987669955102672, 0.13119792673302796, -0.010672873526310618, -0.27161426142124273, 0.3388960153425058, 0.09027448074566652, 0.28417911132892537, 0.05003058656827474, 0.08694218078320756, 0.01101576314687512, -0.026514018526090564, 0.07338642827981125, -0.1321849489872919, 0.1170486344866007, 0.2006265456715906, 0.1332080626286096, 0.28970721365603647, -0.3669982673306452, -0.19156843236222573, 0.18640002353513585, 0.07512260860428938, 0.08879447873914614, 0.0027003515784352343, -0.2695923800324768, 0.13786261636202643, -0.1534237189227444, -0.09538807381776351, -0.08237967392750699, 0.03209751199826923, 0.05895392560028836, -0.24739557000564286, 0.05900125276270205, 0.04460818259253447, -0.011196214518084833, 0.034958787127940476, -0.07518022169655153, -0.01228024522339907, 0.13367179571763946, 0.0310150208471578, 0.03419187165530019, 0.13884966332664334, -0.10582236828987748, -0.161382022384414, 0.3950845009457428, -0.03510702328590588, -0.2250997639595739, 0.19180076795537476, -0.13111618044560105, -0.165601476183776, 0.08350692391712038, 0.2036037369567937, 0.13429709070715917, -0.15168176165745748, 0.01590131882474152, -0.05341464327761307, 0.12809895656525963, 0.03240314103861891, 0.02859411502479648, 0.12028586934998776, 0.148761970279241, 0.13075089286837627, 0.18761451891849487, -0.07777329104459726, -0.13363579624599226, -0.2451934437357902, -0.13632985415362112, -0.2585068131622958, 0.06458751324030743, -0.16489164617553453, -0.21601353840053633, 0.4682115596239862, 0.18309479233926362, 0.23911452748432974, 0.11310187747500819, 0.2737450442837497, 0.11102333766446693, 0.03832343255366918, 0.12026516148296085, 0.1645473915489065, 0.1348090588162626, 0.09920786816210857, -0.12857508469142417, 0.11464655684031437, 0.06101015642244658] |
710.3973 | Diffusion in the Continuous-Imaginary-Time Quantum World-Line Monte
Carlo Simulations with Extended Ensembles | The dynamics of samples in the continuous-imaginary-time quantum world-line
Monte Carlo simulations with extended ensembles are investigated. In the case
of a conventional flat ensemble on the one-dimensional quantum S=1 bi-quadratic
model, the asymmetric behavior of Monte Carlo samples appears in the diffusion
process in the space of the number of vertices. We prove that a local
diffusivity is asymptotically proportional to the number of vertices, and we
demonstrate the asymmetric behavior in the flat ensemble case. On the basis of
the asymptotic form, we propose the weight of an optimal ensemble as
$1/\sqrt{n}$, where $n$ denotes the number of vertices in a sample. It is shown
that the asymmetric behavior completely vanishes in the case of the proposed
ensemble on the one-dimensional quantum S=1 bi-quadratic model.
| cond-mat.stat-mech cond-mat.str-el | the dynamics of samples in the continuousimaginarytime quantum worldline monte carlo simulations with extended ensembles are investigated in the case of a conventional flat ensemble on the onedimensional quantum s1 biquadratic model the asymmetric behavior of monte carlo samples appears in the diffusion process in the space of the number of vertices we prove that a local diffusivity is asymptotically proportional to the number of vertices and we demonstrate the asymmetric behavior in the flat ensemble case on the basis of the asymptotic form we propose the weight of an optimal ensemble as 1sqrtn where n denotes the number of vertices in a sample it is shown that the asymmetric behavior completely vanishes in the case of the proposed ensemble on the onedimensional quantum s1 biquadratic model | [['the', 'dynamics', 'of', 'samples', 'in', 'the', 'continuousimaginarytime', 'quantum', 'worldline', 'monte', 'carlo', 'simulations', 'with', 'extended', 'ensembles', 'are', 'investigated', 'in', 'the', 'case', 'of', 'a', 'conventional', 'flat', 'ensemble', 'on', 'the', 'onedimensional', 'quantum', 's1', 'biquadratic', 'model', 'the', 'asymmetric', 'behavior', 'of', 'monte', 'carlo', 'samples', 'appears', 'in', 'the', 'diffusion', 'process', 'in', 'the', 'space', 'of', 'the', 'number', 'of', 'vertices', 'we', 'prove', 'that', 'a', 'local', 'diffusivity', 'is', 'asymptotically', 'proportional', 'to', 'the', 'number', 'of', 'vertices', 'and', 'we', 'demonstrate', 'the', 'asymmetric', 'behavior', 'in', 'the', 'flat', 'ensemble', 'case', 'on', 'the', 'basis', 'of', 'the', 'asymptotic', 'form', 'we', 'propose', 'the', 'weight', 'of', 'an', 'optimal', 'ensemble', 'as', '1sqrtn', 'where', 'n', 'denotes', 'the', 'number', 'of', 'vertices', 'in', 'a', 'sample', 'it', 'is', 'shown', 'that', 'the', 'asymmetric', 'behavior', 'completely', 'vanishes', 'in', 'the', 'case', 'of', 'the', 'proposed', 'ensemble', 'on', 'the', 'onedimensional', 'quantum', 's1', 'biquadratic', 'model']] | [-0.1542490721216396, 0.15584025558143375, -0.06386032562673562, 0.04540768595590033, 0.023951346787998058, -0.09943154579996476, 0.021428466684690964, 0.3847044839516399, -0.2394696948683168, -0.2615319703811941, 0.04990298036342912, -0.3188961570877142, -0.14383738970303336, 0.13824424349636896, 0.015375769601797495, 0.04200648904345402, 0.03583756856451647, 0.09347541679400863, -0.05153851835497134, -0.2745552270207554, 0.2686516175809221, 0.06830363450150233, 0.3012378130577446, -0.03535309895565073, 0.10737181224266258, 0.04033239960201143, 0.043389350872516164, 0.01981369267363563, -0.1422251362293293, 0.07708267813299115, 0.1868262715256355, 0.033092369939618574, 0.23238411432546455, -0.3976112069177884, -0.20373776439929336, 0.15235809540086404, 0.16604916944615836, 0.10570281554805482, -0.02068556439934489, -0.23253427232399318, 0.032472399107407866, -0.1619651118572068, -0.16588118366024449, -0.028262926400918698, -0.00983951114646093, 0.016053628068285312, -0.2684731584584971, 0.09139621051717696, 0.06354458317688601, 0.03464700962878822, 0.006408102520719523, -0.12804080254038958, -0.0052912813266665915, 0.06616180683907825, 0.020852288099025985, -0.012502667422619039, 0.10669621815318316, -0.12608005161815156, -0.11511955768837938, 0.3393850039514735, -0.08929827119275106, -0.22426581040838747, 0.15046699196796895, -0.15776327607317234, -0.09375214850801358, 0.12342146883799335, 0.1472492127781954, 0.1717349149334413, -0.10691931801958113, 0.1549729414895639, -0.0745681045635596, 0.1314549538610305, -0.028463810590631144, -0.003810290217868925, 0.146755028098059, 0.15035990993748968, 0.06116278599361031, 0.212467877142036, -0.1118424193086616, -0.20324209643395866, -0.3090360818328116, -0.16329546807256828, -0.25395435578827785, 0.09437407398647739, -0.14621602699486447, -0.2071641769567706, 0.3561307771193729, 0.16231811295930795, 0.23423019227916447, 0.0673464091098684, 0.23410751867863372, 0.10033337947798848, 0.025696951785953496, 0.09625995992206213, 0.19296946995854963, 0.13863342476818036, 0.026847422328286283, -0.27988899000333695, 0.03826310233268924, 0.09198926366484306] |
710.3974 | Distributed source coding in dense sensor networks | We study the problem of the reconstruction of a Gaussian field defined in
[0,1] using N sensors deployed at regular intervals. The goal is to quantify
the total data rate required for the reconstruction of the field with a given
mean square distortion. We consider a class of two-stage mechanisms which a)
send information to allow the reconstruction of the sensor's samples within
sufficient accuracy, and then b) use these reconstructions to estimate the
entire field. To implement the first stage, the heavy correlation between the
sensor samples suggests the use of distributed coding schemes to reduce the
total rate. We demonstrate the existence of a distributed block coding scheme
that achieves, for a given fidelity criterion for the reconstruction of the
field, a total information rate that is bounded by a constant, independent of
the number $N$ of sensors. The constant in general depends on the
autocorrelation function of the field and the desired distortion criterion for
the sensor samples. We then describe a scheme which can be implemented using
only scalar quantizers at the sensors, without any use of distributed source
coding, and which also achieves a total information rate that is a constant,
independent of the number of sensors. While this scheme operates at a rate that
is greater than the rate achievable through distributed coding and entails
greater delay in reconstruction, its simplicity makes it attractive for
implementation in sensor networks.
| cs.IT math.IT | we study the problem of the reconstruction of a gaussian field defined in 01 using n sensors deployed at regular intervals the goal is to quantify the total data rate required for the reconstruction of the field with a given mean square distortion we consider a class of twostage mechanisms which a send information to allow the reconstruction of the sensors samples within sufficient accuracy and then b use these reconstructions to estimate the entire field to implement the first stage the heavy correlation between the sensor samples suggests the use of distributed coding schemes to reduce the total rate we demonstrate the existence of a distributed block coding scheme that achieves for a given fidelity criterion for the reconstruction of the field a total information rate that is bounded by a constant independent of the number n of sensors the constant in general depends on the autocorrelation function of the field and the desired distortion criterion for the sensor samples we then describe a scheme which can be implemented using only scalar quantizers at the sensors without any use of distributed source coding and which also achieves a total information rate that is a constant independent of the number of sensors while this scheme operates at a rate that is greater than the rate achievable through distributed coding and entails greater delay in reconstruction its simplicity makes it attractive for implementation in sensor networks | [['we', 'study', 'the', 'problem', 'of', 'the', 'reconstruction', 'of', 'a', 'gaussian', 'field', 'defined', 'in', '01', 'using', 'n', 'sensors', 'deployed', 'at', 'regular', 'intervals', 'the', 'goal', 'is', 'to', 'quantify', 'the', 'total', 'data', 'rate', 'required', 'for', 'the', 'reconstruction', 'of', 'the', 'field', 'with', 'a', 'given', 'mean', 'square', 'distortion', 'we', 'consider', 'a', 'class', 'of', 'twostage', 'mechanisms', 'which', 'a', 'send', 'information', 'to', 'allow', 'the', 'reconstruction', 'of', 'the', 'sensors', 'samples', 'within', 'sufficient', 'accuracy', 'and', 'then', 'b', 'use', 'these', 'reconstructions', 'to', 'estimate', 'the', 'entire', 'field', 'to', 'implement', 'the', 'first', 'stage', 'the', 'heavy', 'correlation', 'between', 'the', 'sensor', 'samples', 'suggests', 'the', 'use', 'of', 'distributed', 'coding', 'schemes', 'to', 'reduce', 'the', 'total', 'rate', 'we', 'demonstrate', 'the', 'existence', 'of', 'a', 'distributed', 'block', 'coding', 'scheme', 'that', 'achieves', 'for', 'a', 'given', 'fidelity', 'criterion', 'for', 'the', 'reconstruction', 'of', 'the', 'field', 'a', 'total', 'information', 'rate', 'that', 'is', 'bounded', 'by', 'a', 'constant', 'independent', 'of', 'the', 'number', 'n', 'of', 'sensors', 'the', 'constant', 'in', 'general', 'depends', 'on', 'the', 'autocorrelation', 'function', 'of', 'the', 'field', 'and', 'the', 'desired', 'distortion', 'criterion', 'for', 'the', 'sensor', 'samples', 'we', 'then', 'describe', 'a', 'scheme', 'which', 'can', 'be', 'implemented', 'using', 'only', 'scalar', 'quantizers', 'at', 'the', 'sensors', 'without', 'any', 'use', 'of', 'distributed', 'source', 'coding', 'and', 'which', 'also', 'achieves', 'a', 'total', 'information', 'rate', 'that', 'is', 'a', 'constant', 'independent', 'of', 'the', 'number', 'of', 'sensors', 'while', 'this', 'scheme', 'operates', 'at', 'a', 'rate', 'that', 'is', 'greater', 'than', 'the', 'rate', 'achievable', 'through', 'distributed', 'coding', 'and', 'entails', 'greater', 'delay', 'in', 'reconstruction', 'its', 'simplicity', 'makes', 'it', 'attractive', 'for', 'implementation', 'in', 'sensor', 'networks']] | [-0.1593786801746551, 0.066544095314841, -0.05169766934172429, 0.011688628023430864, -0.015212900602714496, -0.14542098349118804, 0.08819897955362783, 0.3655252865337311, -0.280034835914031, -0.3050022012930601, 0.12350832343824762, -0.24408862754662938, -0.10860314728380081, 0.1877784016244906, -0.08452389704836334, 0.05588942461404355, 0.0363702960867197, 0.10727754449372755, -0.07756378509641744, -0.2805351819169331, 0.27946212690402855, 0.10274842008155712, 0.31675846687755843, 0.023263269352251068, 0.1709985503138593, 0.03262248084096466, -0.037132506129970315, 0.009062859111842006, -0.11832756636518132, 0.12220965265445015, 0.22640046882344053, 0.16411776588480434, 0.2898812484278522, -0.3860239782588596, -0.21576518960931199, 0.11826977397790774, 0.11556315770164687, 0.11050364514961443, -0.0647448833501759, -0.21443608645845125, 0.14606307209667532, -0.14069760784982366, -0.07328709141410729, -0.013755918321932884, -0.006746227166892842, 0.036637936973141785, -0.36149997794406213, 0.07257098672760433, 0.008013498513622487, 0.01717610726866158, -0.05805417297338631, -0.06774797700692285, 0.024994265038440835, 0.15090443972458548, -0.008444817328052794, 0.059165954391194625, 0.1378027434867034, -0.12783296138464295, -0.08545706975001327, 0.3444329490132154, -0.07225182997787302, -0.223294683009822, 0.12439128001235386, -0.10589652560611672, -0.0849593604914844, 0.16538830295482532, 0.2190106290341801, 0.1356232929419964, -0.14137485393105034, 0.055279853415398046, -0.006760925756014408, 0.22185872193287187, 0.04997236589861519, 0.067649432077776, 0.14910374779571245, 0.16511312688482885, 0.12779100931229745, 0.15119322075389643, -0.13845596058749932, -0.0581182247463693, -0.3090653544925946, -0.15747430621388744, -0.23724793994977594, 0.004336267951479618, -0.12384512466650971, -0.12995682428293723, 0.3766073272450972, 0.1635932925434664, 0.18960018794626948, 0.08758733828522344, 0.3334134508122472, 0.09239196235269427, 0.08552892873722545, 0.09996816435868436, 0.2208358795560421, 0.12883675536239877, 0.07110651228923667, -0.19656503865733108, 0.07307327481065976, 0.025120095161168757] |
710.3975 | Homotopy nilpotency in p-compact groups | A p-compact group is a mod p homotopy theoretical analogue of a compact Lie
group. It is determined the homotopy nilpotency class of a p-compact group
having the homotopy type of the $p$-completion of the direct product of
spheres.
| math.AT | a pcompact group is a mod p homotopy theoretical analogue of a compact lie group it is determined the homotopy nilpotency class of a pcompact group having the homotopy type of the pcompletion of the direct product of spheres | [['a', 'pcompact', 'group', 'is', 'a', 'mod', 'p', 'homotopy', 'theoretical', 'analogue', 'of', 'a', 'compact', 'lie', 'group', 'it', 'is', 'determined', 'the', 'homotopy', 'nilpotency', 'class', 'of', 'a', 'pcompact', 'group', 'having', 'the', 'homotopy', 'type', 'of', 'the', 'pcompletion', 'of', 'the', 'direct', 'product', 'of', 'spheres']] | [-0.26654957994245565, 0.05940139766495962, -0.13497821690562445, 0.06527007350292152, -0.15296925098086014, -0.10461937063015424, 0.028240710210341673, 0.3445831381190473, -0.3322595323746403, -0.19847852946856084, 0.09803851066419902, -0.198084940130894, -0.08636704717691128, 0.16048854981095362, -0.1422416144170058, -0.07534403165276998, 0.005587563085823487, 0.2119258801178195, -0.10305723244658647, -0.2277589337183879, 0.44129419575134915, -0.08145913214330228, 0.19585405158851735, -0.03769331839747536, 0.09723305730865552, -0.02108290186151862, -0.023620627814521775, 0.017529490356070872, -0.11615489174922307, 0.17870610075381896, 0.3154966578078576, -0.014732928851094002, 0.22029525863054472, -0.2458485727890944, -0.13902290017367938, 0.2239332910722647, 0.08573228416916652, -0.07154308398588537, -0.060363717950307406, -0.3271040442662361, 0.15903547406196594, -0.27401651976964414, -0.14811874458040947, -0.022479170909485757, 0.14108878344249648, -0.00018015699699903146, -0.21467029551664987, -0.03634092906633249, 0.08917705523662078, 0.1714432376365249, -0.07599787750185873, -0.04134279327132763, -0.08119226758105633, 0.12421640577033544, -0.03333924553142144, 0.005687514439416237, 0.16219136071128723, -0.05020540697165789, -0.1339709636850808, 0.47515733645130426, 0.001580785745038436, -0.1582863728824752, 0.16160738181609374, -0.1709640954549496, -0.25821190217557627, 0.21791027794377163, -0.014942610851274086, 0.22319502994800225, 0.03732065092294644, 0.2541391782414837, -0.15679334056300995, 0.09191918203559442, 0.03423197488658703, -0.05918256053701043, 0.08087025064592943, 0.16457974689845473, 0.10341499803157952, 0.08339795079798652, 0.045394980324766576, 0.033274760230993614, -0.361870552580326, -0.28715094595622176, -0.13698961509343904, 0.19735075891591036, -0.13972984341149314, -0.18427883931555045, 0.40608765543080294, -0.061655159562061995, 0.10539007120025463, 0.19605889056737608, 0.16279643045690578, 0.023066204083032716, 0.10029970353039411, -0.021297143390163396, 0.14984142030469882, 0.32419510988088757, -0.10469214090456565, -0.12605534145274225, -0.11069327142710488, 0.3280950696207583] |
710.3976 | An attempt to control a manmade nuclear fusion | A detailed simple model is applied to study a high temperature hydrogen
plasma ball. It is assumed that the ions and delocalized electrons are
distributed randomly throughout the charged plasma ball (extra/missing charge
is assumed to be found in a thin layer on the surface of a ball). The energy of
the microscopic electrostatic field around the ions is taken into account and
calculated. It is shown in the framework of the model that charged hydrogen
plasma ball can be stable as a metastable state, when subjected to external
(atmospheric) pressure. Equilibrium radius of a ball, the barrier and the
enthalpy of the equilibrium ball are calculated. It looks like the charged
plasma ball in a metastable equilibrium should be used to conduct controllable
nuclear fusion. Changes in the electric charge can be used to control the
volume of a plasma ball.
| physics.plasm-ph hep-ph physics.chem-ph | a detailed simple model is applied to study a high temperature hydrogen plasma ball it is assumed that the ions and delocalized electrons are distributed randomly throughout the charged plasma ball extramissing charge is assumed to be found in a thin layer on the surface of a ball the energy of the microscopic electrostatic field around the ions is taken into account and calculated it is shown in the framework of the model that charged hydrogen plasma ball can be stable as a metastable state when subjected to external atmospheric pressure equilibrium radius of a ball the barrier and the enthalpy of the equilibrium ball are calculated it looks like the charged plasma ball in a metastable equilibrium should be used to conduct controllable nuclear fusion changes in the electric charge can be used to control the volume of a plasma ball | [['a', 'detailed', 'simple', 'model', 'is', 'applied', 'to', 'study', 'a', 'high', 'temperature', 'hydrogen', 'plasma', 'ball', 'it', 'is', 'assumed', 'that', 'the', 'ions', 'and', 'delocalized', 'electrons', 'are', 'distributed', 'randomly', 'throughout', 'the', 'charged', 'plasma', 'ball', 'extramissing', 'charge', 'is', 'assumed', 'to', 'be', 'found', 'in', 'a', 'thin', 'layer', 'on', 'the', 'surface', 'of', 'a', 'ball', 'the', 'energy', 'of', 'the', 'microscopic', 'electrostatic', 'field', 'around', 'the', 'ions', 'is', 'taken', 'into', 'account', 'and', 'calculated', 'it', 'is', 'shown', 'in', 'the', 'framework', 'of', 'the', 'model', 'that', 'charged', 'hydrogen', 'plasma', 'ball', 'can', 'be', 'stable', 'as', 'a', 'metastable', 'state', 'when', 'subjected', 'to', 'external', 'atmospheric', 'pressure', 'equilibrium', 'radius', 'of', 'a', 'ball', 'the', 'barrier', 'and', 'the', 'enthalpy', 'of', 'the', 'equilibrium', 'ball', 'are', 'calculated', 'it', 'looks', 'like', 'the', 'charged', 'plasma', 'ball', 'in', 'a', 'metastable', 'equilibrium', 'should', 'be', 'used', 'to', 'conduct', 'controllable', 'nuclear', 'fusion', 'changes', 'in', 'the', 'electric', 'charge', 'can', 'be', 'used', 'to', 'control', 'the', 'volume', 'of', 'a', 'plasma', 'ball']] | [-0.07109096050049296, 0.22230779054299207, -0.0854935206466315, 0.06882053860676357, 0.030255912101342226, -0.14413861927746888, 0.02482475831770194, 0.3843478967606182, -0.25904676071892846, -0.24745704744234157, 0.05517658209231433, -0.2842576474600642, 0.005515315386296158, 0.11951497263311159, -0.03297531640183338, 0.04512061517764355, 0.027145485023141538, 0.06545027163089581, -0.002973079481358889, -0.17114338789522177, 0.2618625435960138, 0.0932782044581754, 0.2631046101057404, 0.10493915437222262, 0.05956925524720057, -0.05457929839399761, 0.06692371856253988, 0.09628286707201894, -0.13601264806544658, 0.040565115081207435, 0.1956609386990083, 0.018833059215800127, 0.25775540885712267, -0.4856691046053885, -0.23565866031460989, 0.08136340997404826, 0.11559647660125309, 0.09697895553487708, -0.09046238419209594, -0.23122630960924526, 0.05465547230199609, -0.13780320806323854, -0.18339200577580592, -0.051132877540945164, 0.03409824259726751, 0.03687957431432384, -0.31707101069844956, 0.05186851211810406, 0.03389480245844002, -0.03575452436483137, -0.14011962860691504, -0.10215554113539171, -0.08334333260714168, 0.08749772682003054, 0.03887642221197381, 0.09864339867810076, 0.3182411203636381, -0.05800343194400931, 0.011216451525425827, 0.4300236708786286, -0.05640844400959011, -0.2008485799576615, 0.15417558657871167, -0.1952879175996329, -0.02669970156677382, 0.20101666846640512, 0.16701875687380072, 0.11767644105433211, -0.1705792670874589, 0.08754829728433167, -0.050234494184006113, 0.16177912966453167, 0.08596159042265843, -0.02924041427068517, 0.27289493050767294, 0.16860514952847078, 0.044539598787439544, 0.17765734299097513, -0.089490797244419, -0.11124031342120028, -0.27826045818862993, -0.17669899128770955, -0.18769311914581177, 0.04042511399914051, -0.04321082812886846, -0.19061137110213783, 0.3584736573582017, 0.06963826346696472, 0.17662778370652976, -0.11102930581013501, 0.2647953730135579, 0.08623979075952813, 0.027729725888208816, 0.08057359493547447, 0.25952018825271705, 0.16341212088845566, 0.12982234049395372, -0.2374592293480175, 0.0341852491518194, 0.04386059668334857] |
710.3977 | Reconstruction of the Berger measure when the core is of tensor form | Let $\mathfrak{H}_{0}$ denote the class of commuting pairs of subnormal
operators on Hilbert space, and let $\mathcal{TC}:=\{\mathbf{T}\in \mathfrak{%
H}_{0}:c(\mathbf{T)}$ is of tensor form$\}$, where $c(\mathbf{T})$ is the core
of $\mathbf{T}$. We obtain a concrete necessary and sufficient condition for
the subnormality of $\mathbf{T}\equiv (T_{1},T_{2})\in \mathcal{TC}$ in terms
of $c(\mathbf{T})$, the marginal measures of $T_{1}$ and $T_{2}$, and the
weight $\alpha_{01}$.
| math.FA | let mathfrakh_0 denote the class of commuting pairs of subnormal operators on hilbert space and let mathcaltcmathbftin mathfrak h_0cmathbft is of tensor form where cmathbft is the core of mathbft we obtain a concrete necessary and sufficient condition for the subnormality of mathbftequiv t_1t_2in mathcaltc in terms of cmathbft the marginal measures of t_1 and t_2 and the weight alpha_01 | [['let', 'mathfrakh_0', 'denote', 'the', 'class', 'of', 'commuting', 'pairs', 'of', 'subnormal', 'operators', 'on', 'hilbert', 'space', 'and', 'let', 'mathcaltcmathbftin', 'mathfrak', 'h_0cmathbft', 'is', 'of', 'tensor', 'form', 'where', 'cmathbft', 'is', 'the', 'core', 'of', 'mathbft', 'we', 'obtain', 'a', 'concrete', 'necessary', 'and', 'sufficient', 'condition', 'for', 'the', 'subnormality', 'of', 'mathbftequiv', 't_1t_2in', 'mathcaltc', 'in', 'terms', 'of', 'cmathbft', 'the', 'marginal', 'measures', 'of', 't_1', 'and', 't_2', 'and', 'the', 'weight', 'alpha_01']] | [-0.17110907174646856, 0.19374922651120208, -0.0066777320409362965, 0.0050266524480486454, -0.05289700586264107, -0.09737372265451334, -0.01237390263598751, 0.3136542460457845, -0.2756686520170082, -0.15743812714195388, 0.09050484341992573, -0.2679260731251402, -0.052446457845243544, 0.15881146348335526, -0.09597901554608887, -0.03550032096152956, 0.05038541097786616, 0.16468069518662312, -0.14120350154963407, -0.20347475436600773, 0.4252139655703848, -0.0493347743018107, 0.19635340832173825, 0.09042255626144734, 0.14971623974428935, 0.027940257249230688, 0.01445716736753556, -0.04441811812840487, -0.16330829464237798, 0.12859136475758118, 0.26572220841084015, 0.17275658326900817, 0.24926341338591143, -0.3710191598670049, -0.0735381411219185, 0.29507792929018084, 0.12419105852446095, -0.11063632423227483, 0.07329540424345231, -0.2791004585271532, 0.10947529455138878, -0.14005313979525288, -0.07925350286743858, -0.1243153992024335, 0.0999856601384553, -0.0013698850673708048, -0.39177349785512144, 0.0797560100782324, 0.11184835430573334, 0.07239956420592286, -0.09874936677938835, -0.12865438788324934, -0.11219555738974701, 0.06712635730985891, -0.07959073352712122, 0.037012074201960454, 0.013911241411485455, -0.04773863272910768, -0.060769444212994794, 0.3767601338299838, -0.07057334042302417, -0.2002784684977748, 0.08346303560009057, -0.20621062313121827, -0.09223701513626359, 0.012307315616106445, 0.11565247360108928, 0.18429779325696555, -0.05972273260016333, 0.211262242203917, -0.09924924107776446, 0.04481406044214964, 0.058275204750878565, 0.0762805645100095, 0.09074464850127698, 0.08682787285440348, 0.11889641727744178, 0.17466996214246716, 0.017973892809823155, 0.003243594616651535, -0.3970026444305073, -0.20388589840043675, -0.17887397448278286, 0.1276384101672606, -0.12003073728622192, -0.16941551207141442, 0.40717133910564535, 0.04350056643174453, 0.21127533948324112, 0.12702328190207482, 0.16413359186527404, 0.12702306284336373, 0.06563422216779806, 0.051211795066906644, 0.017685728333890437, 0.2552941550246694, -0.0453848219815303, -0.1979937805963511, 0.043776687258452344, 0.19347854033959183] |
710.3978 | Dielectric anomaly at T_N in LaMnO3 | We observe a distinct anomaly in dielectric permittivity (epsilon') as well
as relaxation time (tao_0) versus temperature (T) pattern at the
antiferromagnetic transition point (T_N) in single crystal of LaMnO3. The
equivalent circuit analysis of the impedance spectra across T_N reveals clear
anomaly in the capacitive component C_0 at T_N. Since no structural transition
takes place across T_N, the anomaly in tao_0 and C_0 at T_N possibly signifies
multiferroicity stemming from coupling between orbital and spin order in
LaMnO3.
| cond-mat.str-el | we observe a distinct anomaly in dielectric permittivity epsilon as well as relaxation time tao_0 versus temperature t pattern at the antiferromagnetic transition point t_n in single crystal of lamno3 the equivalent circuit analysis of the impedance spectra across t_n reveals clear anomaly in the capacitive component c_0 at t_n since no structural transition takes place across t_n the anomaly in tao_0 and c_0 at t_n possibly signifies multiferroicity stemming from coupling between orbital and spin order in lamno3 | [['we', 'observe', 'a', 'distinct', 'anomaly', 'in', 'dielectric', 'permittivity', 'epsilon', 'as', 'well', 'as', 'relaxation', 'time', 'tao_0', 'versus', 'temperature', 't', 'pattern', 'at', 'the', 'antiferromagnetic', 'transition', 'point', 't_n', 'in', 'single', 'crystal', 'of', 'lamno3', 'the', 'equivalent', 'circuit', 'analysis', 'of', 'the', 'impedance', 'spectra', 'across', 't_n', 'reveals', 'clear', 'anomaly', 'in', 'the', 'capacitive', 'component', 'c_0', 'at', 't_n', 'since', 'no', 'structural', 'transition', 'takes', 'place', 'across', 't_n', 'the', 'anomaly', 'in', 'tao_0', 'and', 'c_0', 'at', 't_n', 'possibly', 'signifies', 'multiferroicity', 'stemming', 'from', 'coupling', 'between', 'orbital', 'and', 'spin', 'order', 'in', 'lamno3']] | [-0.20675370704939033, 0.22673164102454463, -0.0005547602081901164, -0.06067572401038238, -0.032867212489537605, -0.1302035616819638, 0.12692151275802066, 0.4445577408489469, -0.2800477443337773, -0.2803828231325107, 0.014847668713486343, -0.37513275826712705, -0.13078775948711804, 0.11092532087456096, 0.08247516012762661, -0.03812622460355232, -0.10615669873047184, 0.101122687298611, -0.12770589728924361, -0.11056418152671162, 0.20672773361181865, -0.029806499922793214, 0.2646885674882245, 0.09589084767579258, 0.08272018666415439, -0.006740093279581565, 0.13938365392870716, 0.010454436782263703, -0.12304172794751872, -0.07746053124209504, 0.3461830308025872, -0.059993880909758726, 0.1363061351774188, -0.37214168885650184, -0.1847882221102134, 0.010401061923521292, 0.11822933150914969, 0.0594019451505178, -0.0027902354864258465, -0.23329232105767572, 0.026736356257521486, -0.029098330618958775, -0.046742113501395934, -0.08890399653706457, -0.014406212666011477, -0.09652843773848825, -0.2878847611560063, 0.20098459647436226, 0.15990462687695037, 0.18707696950764624, -0.06682158231904561, -0.18147828473177338, -0.05126801147972318, 0.08925584416425267, 0.10109986677499753, 0.07606071316903192, 0.12442581904689212, -0.05657380521932447, -0.10053701539729516, 0.345284468288739, -0.12494807971441853, 0.0517644729562007, 0.13556769637802205, -0.2437779943204739, -0.11001092289247877, 0.23110519247976216, 0.09103319844663409, 0.06198124045675451, -0.11184645165967477, 0.12242767070692226, 0.05774281652910369, 0.24592574708981668, 0.11568508176858742, 0.06362446366549264, 0.28086747043439514, 0.17228480034157054, 0.056349623032131944, 0.17649121598231715, -0.06096943568849525, -0.04301935837108206, -0.2999578579994185, -0.14068062490082117, -0.22864868644286285, 0.05982490365133415, -0.19110415891597543, -0.20598310296871253, 0.33679041872405774, 0.1359544682812381, 0.2527250498291347, -0.030753049350119886, 0.19939993903518644, 0.09354882323570163, 0.10758594791223476, 0.01634827094430757, 0.18915877619443774, 0.18751353853043506, 0.20174871720736484, -0.3439779444627899, 0.09107081214715908, 0.04440900897335068] |
710.3979 | Toward Trusted Sharing of Network Packet Traces Using Anonymization:
Single-Field Privacy/Analysis Tradeoffs | Network data needs to be shared for distributed security analysis.
Anonymization of network data for sharing sets up a fundamental tradeoff
between privacy protection versus security analysis capability. This
privacy/analysis tradeoff has been acknowledged by many researchers but this is
the first paper to provide empirical measurements to characterize the
privacy/analysis tradeoff for an enterprise dataset. Specifically we perform
anonymization options on single-fields within network packet traces and then
make measurements using intrusion detection system alarms as a proxy for
security analysis capability. Our results show: (1) two fields have a zero sum
tradeoff (more privacy lessens security analysis and vice versa) and (2) eight
fields have a more complex tradeoff (that is not zero sum) in which both
privacy and analysis can both be simultaneously accomplished.
| cs.CR cs.NI | network data needs to be shared for distributed security analysis anonymization of network data for sharing sets up a fundamental tradeoff between privacy protection versus security analysis capability this privacyanalysis tradeoff has been acknowledged by many researchers but this is the first paper to provide empirical measurements to characterize the privacyanalysis tradeoff for an enterprise dataset specifically we perform anonymization options on singlefields within network packet traces and then make measurements using intrusion detection system alarms as a proxy for security analysis capability our results show 1 two fields have a zero sum tradeoff more privacy lessens security analysis and vice versa and 2 eight fields have a more complex tradeoff that is not zero sum in which both privacy and analysis can both be simultaneously accomplished | [['network', 'data', 'needs', 'to', 'be', 'shared', 'for', 'distributed', 'security', 'analysis', 'anonymization', 'of', 'network', 'data', 'for', 'sharing', 'sets', 'up', 'a', 'fundamental', 'tradeoff', 'between', 'privacy', 'protection', 'versus', 'security', 'analysis', 'capability', 'this', 'privacyanalysis', 'tradeoff', 'has', 'been', 'acknowledged', 'by', 'many', 'researchers', 'but', 'this', 'is', 'the', 'first', 'paper', 'to', 'provide', 'empirical', 'measurements', 'to', 'characterize', 'the', 'privacyanalysis', 'tradeoff', 'for', 'an', 'enterprise', 'dataset', 'specifically', 'we', 'perform', 'anonymization', 'options', 'on', 'singlefields', 'within', 'network', 'packet', 'traces', 'and', 'then', 'make', 'measurements', 'using', 'intrusion', 'detection', 'system', 'alarms', 'as', 'a', 'proxy', 'for', 'security', 'analysis', 'capability', 'our', 'results', 'show', '1', 'two', 'fields', 'have', 'a', 'zero', 'sum', 'tradeoff', 'more', 'privacy', 'lessens', 'security', 'analysis', 'and', 'vice', 'versa', 'and', '2', 'eight', 'fields', 'have', 'a', 'more', 'complex', 'tradeoff', 'that', 'is', 'not', 'zero', 'sum', 'in', 'which', 'both', 'privacy', 'and', 'analysis', 'can', 'both', 'be', 'simultaneously', 'accomplished']] | [-0.15283858555654484, -0.03184037128237598, -0.08813582254468554, 0.09421313361024423, -0.0778986533480366, -0.23708771253305097, 0.12330949410980177, 0.3887735878628108, -0.2687444829029001, -0.3584421698807649, 0.14620590658629343, -0.32214770323386593, -0.1470588542250616, 0.20766950716384716, -0.1283186545892198, 0.0818732171657405, 0.052767758693305716, 0.0013293080867902796, -0.0029614031175902535, -0.2949664840895322, 0.3176157139927044, 0.04760729378059266, 0.3700577698107208, 0.097975074223453, 0.038371354403469955, -0.012308190777642471, -0.02741874120904193, -0.004892240258707334, -0.07363407347838802, 0.13178543214904023, 0.3389107573048903, 0.2645170568296547, 0.353246281636999, -0.3879364879140931, -0.2089568378493911, 0.1066182687175188, 0.1994743665620204, 0.04351648796657701, -0.06885352054251276, -0.27288205631925994, 0.1068255380809968, -0.21475625411239302, -0.02755495449978738, -0.17494598181257326, -0.008074967062941963, -0.009904513052935082, -0.28090575972436777, -0.012968596986367277, 0.01215192650617551, 0.13450509071305033, -0.004103263320904525, -0.041985711960625206, -0.010346385676624072, 0.19857720552658242, 0.04804146446422824, -0.001623790271790518, 0.12074430090104861, -0.11249938428649799, -0.15420899634538668, 0.33863319229004124, -0.018972955928831886, -0.23184968386551424, 0.14732202911569225, -0.05107674418550526, -0.15401690196426165, 0.07907492163799508, 0.22014633096630626, 0.017703683361516245, -0.2199551995032497, -0.0004990442013818651, -0.024823264113717502, 0.22029804264105135, 0.06558470492769454, 0.06901185820911891, 0.14387706735907424, 0.21595424538358085, 0.12979888977931678, 0.1068177680511238, -0.09017078058546289, -0.07303557478500748, -0.23603327973415295, -0.16722277577425684, -0.15265280430790998, 0.019439291230692986, -0.09683847236550308, -0.06330404871503913, 0.36241516429600457, 0.1856253613875578, 0.15567138046213996, 0.08921776128455906, 0.42153176255223734, 0.05156031990190968, 0.06470784159647601, 0.12100210543271274, 0.221523524791513, 0.040044894650383224, 0.1266028665854866, -0.13098619464829925, 0.13139688451173565, -0.060329083918458634] |
710.398 | Some properties of minimizers for the Chan-Esedoglu L1TV functional | We present two results characterizing minimizers of the Chan-Esedoglu L1TV
functional $F(u) \equiv \int |\nabla u | dx + \lambda \int |u - f| dx $;
$u,f:\Bbb{R}^n \to \Bbb{R}$. If we restrict to $u = \chi_{\Sigma}$ and $f =
\chi_{\Omega}$, $\Sigma, \Omega \in \Bbb{R}^n$, the $L^1$TV functional reduces
to $E(\Sigma) = \Per(\Sigma) + \lambda |\Sigma\vartriangle \Omega |$. We show
that there is a minimizer $\Sigma$ such that its boundary $\partial\Sigma$ lies
between the union of all balls of radius $\frac{n}{\lambda}$ contained in
$\Omega$ and the corresponding union of $\frac{n}{\lambda}$-balls in
$\Omega^c$. We also show that if a ball of radius $\frac{n}{\lambda} +
\epsilon$ is almost contained in $\Omega$, a slightly smaller concentric ball
can be added to $\Sigma$ to get another minimizer. Finally, we comment on
recent results Allard has obtained on $L^1$TV minimizers and how these relate
to our results.
| math.OC math.AP math.CA | we present two results characterizing minimizers of the chanesedoglu l1tv functional fu equiv int nabla u dx lambda int u f dx ufbbbrn to bbbr if we restrict to u chi_sigma and f chi_omega sigma omega in bbbrn the l1tv functional reduces to esigma persigma lambda sigmavartriangle omega we show that there is a minimizer sigma such that its boundary partialsigma lies between the union of all balls of radius fracnlambda contained in omega and the corresponding union of fracnlambdaballs in omegac we also show that if a ball of radius fracnlambda epsilon is almost contained in omega a slightly smaller concentric ball can be added to sigma to get another minimizer finally we comment on recent results allard has obtained on l1tv minimizers and how these relate to our results | [['we', 'present', 'two', 'results', 'characterizing', 'minimizers', 'of', 'the', 'chanesedoglu', 'l1tv', 'functional', 'fu', 'equiv', 'int', 'nabla', 'u', 'dx', 'lambda', 'int', 'u', 'f', 'dx', 'ufbbbrn', 'to', 'bbbr', 'if', 'we', 'restrict', 'to', 'u', 'chi_sigma', 'and', 'f', 'chi_omega', 'sigma', 'omega', 'in', 'bbbrn', 'the', 'l1tv', 'functional', 'reduces', 'to', 'esigma', 'persigma', 'lambda', 'sigmavartriangle', 'omega', 'we', 'show', 'that', 'there', 'is', 'a', 'minimizer', 'sigma', 'such', 'that', 'its', 'boundary', 'partialsigma', 'lies', 'between', 'the', 'union', 'of', 'all', 'balls', 'of', 'radius', 'fracnlambda', 'contained', 'in', 'omega', 'and', 'the', 'corresponding', 'union', 'of', 'fracnlambdaballs', 'in', 'omegac', 'we', 'also', 'show', 'that', 'if', 'a', 'ball', 'of', 'radius', 'fracnlambda', 'epsilon', 'is', 'almost', 'contained', 'in', 'omega', 'a', 'slightly', 'smaller', 'concentric', 'ball', 'can', 'be', 'added', 'to', 'sigma', 'to', 'get', 'another', 'minimizer', 'finally', 'we', 'comment', 'on', 'recent', 'results', 'allard', 'has', 'obtained', 'on', 'l1tv', 'minimizers', 'and', 'how', 'these', 'relate', 'to', 'our', 'results']] | [-0.18270356788080397, 0.03799362947153518, -0.0591223273630731, 0.03424729334618291, -0.05422574299864653, -0.11800057872584681, 0.038687771267628644, 0.35886547712957473, -0.29461852709452313, -0.1708096607353508, 0.05829224150961008, -0.378906031752505, -0.09510960728280261, 0.13856291273851098, -0.12592846423016513, 0.010960697305740834, 0.050490321140978636, 0.10440648123016202, -0.07220133198841619, -0.2353369826867389, 0.3233735496405421, -0.1249216730835113, 0.13288297505133095, 0.10063620134279495, 0.059603504764627876, -0.03783924705528737, 0.06678467283282823, 0.0452569549642049, -0.32201854765647786, 0.10477974058064533, 0.19571616814085624, 0.13971945110943199, 0.2972232792375049, -0.36647584904515285, -0.1440860879242163, 0.1931003994361414, 0.12545310879671356, -0.10161376686963608, 0.051264665996262095, -0.2650094673262788, 0.1624407030384594, -0.05949392724721655, -0.16271412555824935, -0.06434151900523319, 0.15121846342444178, 0.059255430344265045, -0.2974006180477336, 0.12119436677998666, 0.08780887296586108, -0.01829484327789964, -0.10029703330502247, -0.20758834437134002, -0.08350042618122103, 0.03967133688748004, 0.04055932855680282, 0.2061062007763885, 0.07774644787612606, -0.06986285678709184, 0.028379113072665725, 0.35648892047565156, -0.14094127191474842, -0.26357897421027104, 0.11486820289032246, -0.23286542910476768, -0.13882083947414425, 0.04329059906758186, 0.08036878446450199, 0.11397958911834209, -0.0644588813988295, 0.24472383072276077, -0.10306907972468562, 0.1937952734174101, 0.13092961988404272, -0.011089007805548305, 0.06357779533922203, 0.11109176930608, 0.1363018357338823, 0.11222603504178758, -0.07775702866029024, 0.01150914829421213, -0.4150357087998371, -0.09760768508644609, -0.17125250577900133, 0.10802835968088328, -0.06942209732736275, -0.1312679967396264, 0.2717066624512275, 0.08054995116951867, 0.2238318139338881, 0.05784034052848574, 0.15017609916460828, 0.11083978242373352, 0.023298681234728877, 0.12544146317958346, 0.16010630628608954, 0.10879646265894417, 0.019202671680084573, -0.2135792511280596, -0.05314388877155668, 0.09887375638676368] |
710.3981 | The importance of the Selberg integral | It has been remarked that a fair measure of the impact of Atle Selberg's work
is the number of mathematical terms which bear his name. One of these is the
Selberg integral, an n-dimensional generalization of the Euler beta integral.
We trace its sudden rise to prominence, initiated by a question to Selberg from
Enrico Bombieri, more than thirty years after publication. In quick succession
the Selberg integral was used to prove an outstanding conjecture in random
matrix theory, and cases of the Macdonald conjectures. It further initiated the
study of q-analogues, which in turn enriched the Macdonald conjectures. We
review these developments and proceed to exhibit the sustained prominence of
the Selberg integral, evidenced by its central role in random matrix theory,
Calogero-Sutherland quantum many body systems, Knizhnik-Zamolodchikov
equations, and multivariable orthogonal polynomial theory.
| math.CA math-ph math.CO math.MP math.QA | it has been remarked that a fair measure of the impact of atle selbergs work is the number of mathematical terms which bear his name one of these is the selberg integral an ndimensional generalization of the euler beta integral we trace its sudden rise to prominence initiated by a question to selberg from enrico bombieri more than thirty years after publication in quick succession the selberg integral was used to prove an outstanding conjecture in random matrix theory and cases of the macdonald conjectures it further initiated the study of qanalogues which in turn enriched the macdonald conjectures we review these developments and proceed to exhibit the sustained prominence of the selberg integral evidenced by its central role in random matrix theory calogerosutherland quantum many body systems knizhnikzamolodchikov equations and multivariable orthogonal polynomial theory | [['it', 'has', 'been', 'remarked', 'that', 'a', 'fair', 'measure', 'of', 'the', 'impact', 'of', 'atle', 'selbergs', 'work', 'is', 'the', 'number', 'of', 'mathematical', 'terms', 'which', 'bear', 'his', 'name', 'one', 'of', 'these', 'is', 'the', 'selberg', 'integral', 'an', 'ndimensional', 'generalization', 'of', 'the', 'euler', 'beta', 'integral', 'we', 'trace', 'its', 'sudden', 'rise', 'to', 'prominence', 'initiated', 'by', 'a', 'question', 'to', 'selberg', 'from', 'enrico', 'bombieri', 'more', 'than', 'thirty', 'years', 'after', 'publication', 'in', 'quick', 'succession', 'the', 'selberg', 'integral', 'was', 'used', 'to', 'prove', 'an', 'outstanding', 'conjecture', 'in', 'random', 'matrix', 'theory', 'and', 'cases', 'of', 'the', 'macdonald', 'conjectures', 'it', 'further', 'initiated', 'the', 'study', 'of', 'qanalogues', 'which', 'in', 'turn', 'enriched', 'the', 'macdonald', 'conjectures', 'we', 'review', 'these', 'developments', 'and', 'proceed', 'to', 'exhibit', 'the', 'sustained', 'prominence', 'of', 'the', 'selberg', 'integral', 'evidenced', 'by', 'its', 'central', 'role', 'in', 'random', 'matrix', 'theory', 'calogerosutherland', 'quantum', 'many', 'body', 'systems', 'knizhnikzamolodchikov', 'equations', 'and', 'multivariable', 'orthogonal', 'polynomial', 'theory']] | [-0.12494471564683925, 0.08416616196119497, -0.1322332032914482, 0.08926653817779065, -0.08622290751438087, -0.12059013582001538, -0.004326158537661462, 0.2692169207843271, -0.26885954671497664, -0.250910933112114, 0.08939922306644939, -0.2547839536494923, -0.22358996955566665, 0.22103253619939978, -0.11564721948981507, 0.07536364699724311, 0.06937716544411186, 0.041512196264994236, -0.08564546119261866, -0.35538795215786617, 0.30467819894921144, 0.06115013188526118, 0.19613707567731947, 0.07110799249928834, 0.0643645980284174, 0.02626760354666943, -0.07592204819544594, -0.05323118655741749, -0.13519789860176606, 0.15561125479089513, 0.26483923221118194, 0.10092732430185511, 0.3304392012294882, -0.4400270685775956, -0.16084048546326812, 0.10489829873610566, 0.1434187253977523, 0.026819772884569396, -0.0008682907328101695, -0.29726847342507384, 0.015540971764738657, -0.22313278657731725, -0.21357610666040164, -0.04795579203498313, 0.06465596576401991, 0.0157773322686414, -0.20716183276155464, 0.058127175307651956, 0.09576286397589398, 0.09113534377358329, -0.026480265658473903, -0.1406316935578222, 0.05025065820247157, 0.09245661438057032, 0.1018763227933851, 0.05994998855184444, 0.08390628796682428, -0.12109630062668793, -0.1481233153539126, 0.3235682854150881, -0.033846579525648415, -0.13633012664573851, 0.12527855784187455, -0.16801201819864436, -0.20111312730839032, 0.1224771068473138, 0.09478179888049168, 0.10944950647492295, -0.1096523918781374, 0.10090124488803003, -0.13043235775444711, 0.04680184241551072, 0.15736581760444748, -0.006074867511008268, 0.18111299549632554, 0.03822275858421101, 0.008192660560251088, 0.14987818267606476, 0.0036063932452295253, -0.151050169507403, -0.2601252609182761, -0.2372514781031285, -0.1605113524276374, 0.13705122794212302, -0.05750724276731489, -0.1875118529910583, 0.3823521684841322, 0.10627842435974684, 0.1288662230623747, 0.03188294404075106, 0.16129776329186973, 0.17143952338426346, 0.049971486982166656, 0.01474053057522249, 0.16979076892290432, 0.2841246169818037, 0.13284587681140583, -0.18005831523906135, 0.02909750621348842, 0.2047638821158447] |
710.3982 | Covariant differentiation of spinors for a general affine connection | We show that the covariant derivative of a spinor for a general affine
connection, not restricted to be metric compatible, is given by the
Fock-Ivanenko coefficients with the antisymmetric part of the Lorentz
connection. The projective invariance of the spinor connection allows to
introduce gauge fields interacting with spinors. We also derive the relation
between the curvature spinor and the curvature tensor for a general connection.
| gr-qc math-ph math.MP | we show that the covariant derivative of a spinor for a general affine connection not restricted to be metric compatible is given by the fockivanenko coefficients with the antisymmetric part of the lorentz connection the projective invariance of the spinor connection allows to introduce gauge fields interacting with spinors we also derive the relation between the curvature spinor and the curvature tensor for a general connection | [['we', 'show', 'that', 'the', 'covariant', 'derivative', 'of', 'a', 'spinor', 'for', 'a', 'general', 'affine', 'connection', 'not', 'restricted', 'to', 'be', 'metric', 'compatible', 'is', 'given', 'by', 'the', 'fockivanenko', 'coefficients', 'with', 'the', 'antisymmetric', 'part', 'of', 'the', 'lorentz', 'connection', 'the', 'projective', 'invariance', 'of', 'the', 'spinor', 'connection', 'allows', 'to', 'introduce', 'gauge', 'fields', 'interacting', 'with', 'spinors', 'we', 'also', 'derive', 'the', 'relation', 'between', 'the', 'curvature', 'spinor', 'and', 'the', 'curvature', 'tensor', 'for', 'a', 'general', 'connection']] | [-0.19835618557408452, 0.157185585163957, -0.07684796318150774, 0.0730559820058812, -0.19782780350722146, -0.13182205769628513, -0.04970322154236562, 0.35607129696643713, -0.22895751462783664, -0.2042869385331869, 0.03194529291552802, -0.19344985001446208, -0.2162310111576296, 0.09827050778690274, -0.013767652566347158, -0.014529957513635358, -0.025264105128096133, 0.11672595283016562, -0.17065976417242465, -0.2377330529976241, 0.4470195815136487, 0.028074470045270795, 0.28163390744223515, 0.05448876420092402, 0.18957203345472048, 0.009396883941283731, -0.025158890142020853, 0.009275301006820166, -0.09380800916628548, 0.17704760851902943, 0.19473199986598708, 0.07751807965564006, 0.14111760134498277, -0.41114253519723815, -0.18278429799741416, 0.13835441024804657, 0.061832243181539306, 0.054024272242024766, -0.013052426659586754, -0.3073383822867816, 0.0116106282185876, -0.1453026437172384, -0.17561562570115324, -0.12002551140771671, 0.013824585945147908, -0.06129363931320382, -0.23051527673096367, 0.10999782128342442, 0.05477717701719622, 0.0432313583777145, -0.08977727484836412, -0.02216637224509296, -0.024426827686979916, 0.049228269437497314, 0.05396816753217894, 0.05738194149241529, 0.04212132651556396, -0.13289964575828475, -0.09650526135793012, 0.3931803032755852, -0.14962314769879662, -0.33867469015107915, 0.12856907125167322, -0.1266927089132933, -0.13656326484951106, 0.030309593094733082, 0.11784836010668766, 0.11665032146442117, -0.12499626549525243, 0.1813194672709373, -0.06255829040751312, 0.06586318072919367, 0.0802740109378867, 0.0072333721856755965, 0.21012692015607504, -9.75630951650215e-05, 0.08631128152465505, 0.15200763819986163, -0.0008976678857862046, -0.13360799293062, -0.42717225736740866, -0.28325212015911483, -0.14179992656025922, 0.12297955545209609, -0.14033833100918194, -0.13297242997214198, 0.40234172931223205, 0.0748717426745729, 0.1821339127306022, 0.12464266325079018, 0.23077040704700982, 0.1444779058607916, 0.09026635271694625, 0.05536558666746273, 0.29450417471569823, 0.2938611445927315, 0.03868291255220714, -0.21209344805472277, -0.0689571293734127, 0.1152222930369052] |
710.3983 | Long time simulation of a beam in a periodic focusing channel via a
two-scale PIC-method | We study the two-scale asymptotics for a charged beam under the action of a
rapidly oscillating external electric field. After proving the convergence to
the correct asymptotic state, we develop a numerical method for solving the
limit model involving two time scales and validate its efficiency for the
simulation of long time beam evolution.
| math.NA | we study the twoscale asymptotics for a charged beam under the action of a rapidly oscillating external electric field after proving the convergence to the correct asymptotic state we develop a numerical method for solving the limit model involving two time scales and validate its efficiency for the simulation of long time beam evolution | [['we', 'study', 'the', 'twoscale', 'asymptotics', 'for', 'a', 'charged', 'beam', 'under', 'the', 'action', 'of', 'a', 'rapidly', 'oscillating', 'external', 'electric', 'field', 'after', 'proving', 'the', 'convergence', 'to', 'the', 'correct', 'asymptotic', 'state', 'we', 'develop', 'a', 'numerical', 'method', 'for', 'solving', 'the', 'limit', 'model', 'involving', 'two', 'time', 'scales', 'and', 'validate', 'its', 'efficiency', 'for', 'the', 'simulation', 'of', 'long', 'time', 'beam', 'evolution']] | [-0.15079650573898107, 0.10039290754745404, -0.1323693544017496, 0.06895030282989696, -0.00013952050358057022, -0.10086499969474971, 0.058557147367133036, 0.3610135969636893, -0.244728931122356, -0.2956030909316959, 0.1342590412521666, -0.22186375706008188, -0.050276870744440844, 0.20227038002728173, 0.041697961666310825, 0.12400660441252748, 0.08804588120741148, 0.025950086699729716, -0.05782988306169433, -0.1938093111988295, 0.2759442239551357, 0.09904095446863384, 0.2857615072495752, 0.04325969618447642, 0.14895195325974514, 0.0012611911494146894, 0.0036740288897245017, 0.021961435054739315, -0.10640771280008333, 0.04781971895998275, 0.15644713532593515, 0.06790866530327885, 0.3160503975771092, -0.4665072100168025, -0.19452858498940864, 0.07660290842047995, 0.1697446136666393, 0.15535392284531285, -0.09892036332921297, -0.27032383207093785, 0.08448635436663474, -0.14715263757992675, -0.21360020192891913, -0.10258408028770376, 0.011503116324699173, 0.0714215286101939, -0.33603148943856703, 0.06879350698027001, 0.049606648118545614, 0.03197687645270317, -0.10185689876002639, -0.049027362217505775, 0.06327128893247357, 0.1223904764952345, 0.12907122534104726, -0.00019729410349908803, 0.11968158511444926, -0.15587137155752215, -0.057389766805701785, 0.31978342016400013, -0.11602527368813753, -0.20926131777189397, 0.1449377994156546, -0.1526618836171649, -0.08283572639683606, 0.12370086088776588, 0.19681252007959066, 0.20858305627135215, -0.15166494141643247, 0.08464441851053077, 0.011340778321027756, 0.1325977982401296, 0.07825160711244852, -0.019448558523975038, 0.16419054200458857, 0.23062751307669613, 0.06184780977114483, 0.19466472813790595, -0.09596185683255533, -0.14525589208911965, -0.3267308423916499, -0.15888447446438173, -0.13222477826531287, 0.07231342429467649, -0.11471304919164309, -0.1555273327631531, 0.45874392340408154, 0.19273421290779003, 0.1276285932485566, 0.1288565636302034, 0.30335322981355367, 0.15393564429272105, -0.03011707762359745, 0.07637540620527472, 0.22149610317622623, 0.15625730381105785, 0.14171635076679565, -0.32040774613549866, 0.01970309735258558, 0.11089642423515518] |
710.3984 | A model for giant flares in soft gamma repeaters | We argue that giant flares in SGRs can be associated to the core conversion
of an isolated neutron star having a subcritical magnetic field $\sim 10^{12}$
G and a fallback disk around it. We show that, in a timescale of $\lesssim
10^5$ yrs, accretion from the fallback disk can increase the mass of the
central object up to the critical mass for the conversion of the core of the
star into quark matter. A small fraction of the neutrino-antineutrino emission
from the just-converted quark-matter hot core annihilates into $e^+e^-$ pairs
above the neutron star surface originating the gamma emission of the spike
while the further cooling of the heated neutron star envelope originates the
tail of the burst. We show that several characteristics of the giant flare of
the SGR 1806-20 of 27 December 2004 (spike and tail energies, timescales, and
spectra) can be explained by this mechanism.
| astro-ph | we argue that giant flares in sgrs can be associated to the core conversion of an isolated neutron star having a subcritical magnetic field sim 1012 g and a fallback disk around it we show that in a timescale of lesssim 105 yrs accretion from the fallback disk can increase the mass of the central object up to the critical mass for the conversion of the core of the star into quark matter a small fraction of the neutrinoantineutrino emission from the justconverted quarkmatter hot core annihilates into ee pairs above the neutron star surface originating the gamma emission of the spike while the further cooling of the heated neutron star envelope originates the tail of the burst we show that several characteristics of the giant flare of the sgr 180620 of 27 december 2004 spike and tail energies timescales and spectra can be explained by this mechanism | [['we', 'argue', 'that', 'giant', 'flares', 'in', 'sgrs', 'can', 'be', 'associated', 'to', 'the', 'core', 'conversion', 'of', 'an', 'isolated', 'neutron', 'star', 'having', 'a', 'subcritical', 'magnetic', 'field', 'sim', '1012', 'g', 'and', 'a', 'fallback', 'disk', 'around', 'it', 'we', 'show', 'that', 'in', 'a', 'timescale', 'of', 'lesssim', '105', 'yrs', 'accretion', 'from', 'the', 'fallback', 'disk', 'can', 'increase', 'the', 'mass', 'of', 'the', 'central', 'object', 'up', 'to', 'the', 'critical', 'mass', 'for', 'the', 'conversion', 'of', 'the', 'core', 'of', 'the', 'star', 'into', 'quark', 'matter', 'a', 'small', 'fraction', 'of', 'the', 'neutrinoantineutrino', 'emission', 'from', 'the', 'justconverted', 'quarkmatter', 'hot', 'core', 'annihilates', 'into', 'ee', 'pairs', 'above', 'the', 'neutron', 'star', 'surface', 'originating', 'the', 'gamma', 'emission', 'of', 'the', 'spike', 'while', 'the', 'further', 'cooling', 'of', 'the', 'heated', 'neutron', 'star', 'envelope', 'originates', 'the', 'tail', 'of', 'the', 'burst', 'we', 'show', 'that', 'several', 'characteristics', 'of', 'the', 'giant', 'flare', 'of', 'the', 'sgr', '180620', 'of', '27', 'december', '2004', 'spike', 'and', 'tail', 'energies', 'timescales', 'and', 'spectra', 'can', 'be', 'explained', 'by', 'this', 'mechanism']] | [-0.10046203133846525, 0.2098076141188531, -0.06993182699614185, 0.10972794461805298, -0.08510038151475442, -0.003344484872571161, 0.08684226459361055, 0.3613155951001206, -0.21683830251207664, -0.3478959060217045, 0.04145600445106068, -0.2920022452421182, 0.009873316198790155, 0.21873964271096347, -0.0025208424555049056, -0.06203923414961821, 0.08790135702599777, 0.002449309469998947, -0.06614231985208079, -0.1736613091225514, 0.30236154746067817, 0.05217768546973108, 0.13191957077404268, 0.05576317681658532, 0.036449283270361725, -0.12165078683281128, 0.030591719405294784, -0.10052316257932863, -0.12205482054248153, 0.023942592421540242, 0.16451019474240272, 0.13367227357843903, 0.1743669736857976, -0.43000088253242225, -0.2277914061207882, 0.07896044762919144, 0.16997745136261544, -0.02398239948064545, -0.06432471910672148, -0.25413238298350654, 0.09492257646709477, -0.2822167203083736, -0.12835131937536556, 0.08357655121406325, 0.07013514571186459, 0.03185320662161918, -0.24037199715535681, 0.12745525016129447, 0.11133425551479315, -0.0279018526808137, -0.09331434308772996, -0.05477217896873144, -0.07551411945106727, 0.03394200860722257, 0.10313462153026441, 0.08448627133074464, 0.2326304009215919, -0.1578206403741651, -0.047083587601121996, 0.38778074209888774, -0.09346594456203129, 0.06380730959567793, 0.1763874915599519, -0.2559328155249965, -0.1499846592200223, 0.22805900826137893, 0.17291688067889233, 0.12669338644513872, -0.14177981348467522, -0.015344418238034332, -0.02131752694678195, 0.18865439608110254, 0.08544462445654533, 0.011741577240568743, 0.37076667988938944, 0.17191671072917225, -0.013679953611956364, 0.1313723848758861, -0.25042417549193985, -0.02992125649993517, -0.2698497934691405, -0.08422697948760727, -0.14609073289293087, 0.133445248213679, -0.1226991617314234, -0.10626344821498203, 0.36720661747548095, 0.04618193217090705, 0.2385281818177627, -0.017752162040271448, 0.24779619996873092, 0.1418451122570542, 0.09358256681961621, 0.16480948112676946, 0.3246566824374252, 0.20201820637048762, 0.07939549223250601, -0.2976335298783165, 0.04518531441536485, -0.010058422960961858] |
710.3985 | Antiproton-deuteron atoms in models of realistic potentials | The antiproton-deuteron atoms are studied in models of various realistic,
popular nucleon-antinucleon potentials. The small energy shifts and decay
widths of the atoms, which stem from the short-ranged strong interactions
between the antiproton and deuteron, are evaluated in a well-established,
accurate approach based on the Sturmian functions. The investigation reveals
that none of the employed potentials, which reproduce the nucleon-antinucleon
scattering data quite well, is able to reproduce the experimental data of the
energy shifts of the 2p antiproton-deuteron atomic states. The energy shifts of
the 2p antiproton-deuteron atomic states are very sensitive to the
nucleon-antinucleon strong interactions, hence the investigation of the
antiproton-deuteron atoms is expected to provide a good platform for refining
the nucleon-antinucleon interaction, especially at zero energy.
| physics.atom-ph | the antiprotondeuteron atoms are studied in models of various realistic popular nucleonantinucleon potentials the small energy shifts and decay widths of the atoms which stem from the shortranged strong interactions between the antiproton and deuteron are evaluated in a wellestablished accurate approach based on the sturmian functions the investigation reveals that none of the employed potentials which reproduce the nucleonantinucleon scattering data quite well is able to reproduce the experimental data of the energy shifts of the 2p antiprotondeuteron atomic states the energy shifts of the 2p antiprotondeuteron atomic states are very sensitive to the nucleonantinucleon strong interactions hence the investigation of the antiprotondeuteron atoms is expected to provide a good platform for refining the nucleonantinucleon interaction especially at zero energy | [['the', 'antiprotondeuteron', 'atoms', 'are', 'studied', 'in', 'models', 'of', 'various', 'realistic', 'popular', 'nucleonantinucleon', 'potentials', 'the', 'small', 'energy', 'shifts', 'and', 'decay', 'widths', 'of', 'the', 'atoms', 'which', 'stem', 'from', 'the', 'shortranged', 'strong', 'interactions', 'between', 'the', 'antiproton', 'and', 'deuteron', 'are', 'evaluated', 'in', 'a', 'wellestablished', 'accurate', 'approach', 'based', 'on', 'the', 'sturmian', 'functions', 'the', 'investigation', 'reveals', 'that', 'none', 'of', 'the', 'employed', 'potentials', 'which', 'reproduce', 'the', 'nucleonantinucleon', 'scattering', 'data', 'quite', 'well', 'is', 'able', 'to', 'reproduce', 'the', 'experimental', 'data', 'of', 'the', 'energy', 'shifts', 'of', 'the', '2p', 'antiprotondeuteron', 'atomic', 'states', 'the', 'energy', 'shifts', 'of', 'the', '2p', 'antiprotondeuteron', 'atomic', 'states', 'are', 'very', 'sensitive', 'to', 'the', 'nucleonantinucleon', 'strong', 'interactions', 'hence', 'the', 'investigation', 'of', 'the', 'antiprotondeuteron', 'atoms', 'is', 'expected', 'to', 'provide', 'a', 'good', 'platform', 'for', 'refining', 'the', 'nucleonantinucleon', 'interaction', 'especially', 'at', 'zero', 'energy']] | [-0.0781039491580599, 0.16268601100737892, -0.06582187026188793, 0.18553131412953322, 0.0171733210902384, -0.14108215143888697, 0.044735087984249244, 0.3681364073610503, -0.2175094248526845, -0.2758971135293649, -0.04812896816629516, -0.3444807310704111, -0.034160998988197154, 0.16293031314372525, 0.10702868435947487, 0.060473359959615655, 0.09305743270742223, 0.028567325427968533, -0.0440425762910519, -0.16712865556305476, 0.3160584556508409, 0.09665352231168672, 0.29225236950211286, 0.15820782154429058, 0.0044696345128703956, 0.02711856143148847, 0.013853331015653107, -0.0459539222315508, -0.1019724932760082, 0.16152700518877514, 0.24347610844959805, 0.026916378935845184, 0.18323875374491672, -0.44496755680638894, -0.1709421671549828, 0.0902757039216678, 0.10374494573517033, 0.1575833274617268, -0.05671345155343629, -0.33002007761123503, 0.016603242517410476, -0.14017481649340677, -0.13490297285140462, -0.12205497828535428, 0.04746577052076247, 0.09493184116599727, -0.2852838520145367, 0.05298797777384397, -0.002262661090189945, 0.04679271891282117, -0.11786702456730148, -0.1580697254062253, -0.032738594970404176, 0.12188589756477101, 0.03529661322351207, 0.011215317721116887, 0.12260866972563927, -0.11174721274648078, -0.06801016068024453, 0.43923816971542423, -0.05713534209115261, -0.10962176329094517, 0.21110641041362643, -0.14500251022063596, -0.08117759781928102, 0.19148479999728069, 0.13140114027360253, 0.07175758868948487, -0.12533086883904768, 0.0883508152280326, -0.012483945793726227, 0.17800948001090283, 0.06712269345452347, 0.07976829365650115, 0.14877885744776115, 0.13140417133604199, 0.007429909022632709, 0.07807529589145883, -0.1065855258132893, -0.09812765553101035, -0.29146499859846453, -0.07027725513708442, -0.18834127045490526, -0.014424115284692403, -0.009766349122303439, -0.15029849984090438, 0.3736817521266331, 0.09031719007059809, 0.23417703527187514, -0.02142553420714295, 0.29314393314632997, 0.1094802067084007, 0.10557585844215898, -0.0005383072016868463, 0.3079097003114125, 0.16086265243866965, 0.08963146378201517, -0.29510691874537404, 0.05880317530471616, -0.015281255022153136] |
710.3986 | Microwave band on-chip coil technique for single electron spin resonance
in a quantum dot | Microwave band on-chip microcoils are developed for the application to single
electron spin resonance measurement with a single quantum dot. Basic properties
such as characteristic impedance and electromagnetic field distribution are
examined for various coil designs by means of experiment and simulation. The
combined setup operates relevantly in the experiment at dilution temperature.
The frequency responses of the return loss and Coulomb blockade current are
examined. Capacitive coupling between a coil and a quantum dot causes photon
assisted tunneling, whose signal can greatly overlap the electron spin
resonance signal. To suppress the photon assisted tunneling effect, a technique
for compensating for the microwave electric field is developed. Good
performance of this technique is confirmed from measurement of Coulomb blockade
oscillations.
| cond-mat.mes-hall | microwave band onchip microcoils are developed for the application to single electron spin resonance measurement with a single quantum dot basic properties such as characteristic impedance and electromagnetic field distribution are examined for various coil designs by means of experiment and simulation the combined setup operates relevantly in the experiment at dilution temperature the frequency responses of the return loss and coulomb blockade current are examined capacitive coupling between a coil and a quantum dot causes photon assisted tunneling whose signal can greatly overlap the electron spin resonance signal to suppress the photon assisted tunneling effect a technique for compensating for the microwave electric field is developed good performance of this technique is confirmed from measurement of coulomb blockade oscillations | [['microwave', 'band', 'onchip', 'microcoils', 'are', 'developed', 'for', 'the', 'application', 'to', 'single', 'electron', 'spin', 'resonance', 'measurement', 'with', 'a', 'single', 'quantum', 'dot', 'basic', 'properties', 'such', 'as', 'characteristic', 'impedance', 'and', 'electromagnetic', 'field', 'distribution', 'are', 'examined', 'for', 'various', 'coil', 'designs', 'by', 'means', 'of', 'experiment', 'and', 'simulation', 'the', 'combined', 'setup', 'operates', 'relevantly', 'in', 'the', 'experiment', 'at', 'dilution', 'temperature', 'the', 'frequency', 'responses', 'of', 'the', 'return', 'loss', 'and', 'coulomb', 'blockade', 'current', 'are', 'examined', 'capacitive', 'coupling', 'between', 'a', 'coil', 'and', 'a', 'quantum', 'dot', 'causes', 'photon', 'assisted', 'tunneling', 'whose', 'signal', 'can', 'greatly', 'overlap', 'the', 'electron', 'spin', 'resonance', 'signal', 'to', 'suppress', 'the', 'photon', 'assisted', 'tunneling', 'effect', 'a', 'technique', 'for', 'compensating', 'for', 'the', 'microwave', 'electric', 'field', 'is', 'developed', 'good', 'performance', 'of', 'this', 'technique', 'is', 'confirmed', 'from', 'measurement', 'of', 'coulomb', 'blockade', 'oscillations']] | [-0.16303156488502282, 0.20259976374994343, -0.01990606882997478, 0.03403531840983002, -0.03496508540993091, -0.2100278556967775, 0.05544524418219225, 0.39282027669639014, -0.22758614025078713, -0.33214232564593354, -0.005248232857047697, -0.2817208408766116, -0.08508711868780665, 0.27672846951754765, 0.02048304578832661, 0.07113343118301903, 0.03353092744170378, -0.011901842364265273, -0.008713571281017114, -0.11631786861689761, 0.25182733035762794, 0.10933921857310148, 0.36445365676966807, 0.08284570053898885, 0.12012458077903526, 0.07508145550188298, 0.052787297176352395, 0.019179938605520874, -0.08512375222356544, 0.01835937419285377, 0.24557874780536318, -0.0151722812152002, 0.20412743091583252, -0.44381411857903, -0.19747269422902416, 0.04084358001127839, 0.13065251495766764, 0.1571280108849654, -0.10850497498759068, -0.28488054499030113, 0.0018555554638927181, -0.16345795896680404, -0.08028626656547809, -0.05262396237982709, -0.0663085914158728, 0.01911474436055869, -0.337071255253007, 0.08566593514212097, 0.009611778880935163, 0.07249053495276409, -0.00459136109178265, -0.05369965186497817, 0.03396937208696424, 0.07545045075627664, -0.037924059949970494, 0.02743013617582619, 0.2703249813532845, -0.10351441378200738, -0.14993935183932383, 0.2694780080579221, -0.07555173265282064, -0.13850762846996076, 0.12812001846420268, -0.19570688762081165, 0.005163634106672059, 0.1529498627098898, 0.09854087132844143, 0.03987534073336671, -0.18382837361326285, 0.06391159732011147, 0.08843659580840418, 0.16612650679113963, 0.09551296388187135, 0.10096711753867567, 0.26308299640271193, 0.187867962087815, 0.019247691500155876, 0.1473050094830493, -0.18802636947366408, -0.04149330898653716, -0.25250025913119317, -0.13182102698483505, -0.22944883193510274, 0.08837028515990823, -0.03870774882319286, -0.14148569981722783, 0.41245020124139653, 0.13679508691032727, 0.1251050687705477, -0.06991545672353823, 0.3649271158191065, 0.15987906948721503, 0.09674535886539767, -0.05178654345994194, 0.2966313786465131, 0.22198805828229523, 0.10375676952923338, -0.34645756669924593, -0.00617541290509204, -0.04192158697599856] |
710.3987 | Nonequilibrium electron charging in carbon-nanotube-based molecular
bridges | We evidence the importance of electron charging under nonequilibrium
conditions for carbon-nanotube-based molecular bridges, using a self-consistent
Green's function method with an extended Huckel Hamiltonian and a
three-dimensional Poisson solver. Our analysis demonstrates that such feature
is highly dependent on the chirality of the carbon nanotube as well as on the
type of the contact metal, conditioning in a nongeneralized way the system's
conduction mechanism. Based on its impact on transport, we argue that
self-consistency is essential for the current-voltage calculations of
semiconducting nanotubes, whereas less significant in the case of metallic
ones.
| cond-mat.mes-hall cond-mat.mtrl-sci | we evidence the importance of electron charging under nonequilibrium conditions for carbonnanotubebased molecular bridges using a selfconsistent greens function method with an extended huckel hamiltonian and a threedimensional poisson solver our analysis demonstrates that such feature is highly dependent on the chirality of the carbon nanotube as well as on the type of the contact metal conditioning in a nongeneralized way the systems conduction mechanism based on its impact on transport we argue that selfconsistency is essential for the currentvoltage calculations of semiconducting nanotubes whereas less significant in the case of metallic ones | [['we', 'evidence', 'the', 'importance', 'of', 'electron', 'charging', 'under', 'nonequilibrium', 'conditions', 'for', 'carbonnanotubebased', 'molecular', 'bridges', 'using', 'a', 'selfconsistent', 'greens', 'function', 'method', 'with', 'an', 'extended', 'huckel', 'hamiltonian', 'and', 'a', 'threedimensional', 'poisson', 'solver', 'our', 'analysis', 'demonstrates', 'that', 'such', 'feature', 'is', 'highly', 'dependent', 'on', 'the', 'chirality', 'of', 'the', 'carbon', 'nanotube', 'as', 'well', 'as', 'on', 'the', 'type', 'of', 'the', 'contact', 'metal', 'conditioning', 'in', 'a', 'nongeneralized', 'way', 'the', 'systems', 'conduction', 'mechanism', 'based', 'on', 'its', 'impact', 'on', 'transport', 'we', 'argue', 'that', 'selfconsistency', 'is', 'essential', 'for', 'the', 'currentvoltage', 'calculations', 'of', 'semiconducting', 'nanotubes', 'whereas', 'less', 'significant', 'in', 'the', 'case', 'of', 'metallic', 'ones']] | [-0.12102042085501136, 0.06887300801166128, -0.08339450057716138, 0.03173178834189731, -0.00106705077773621, -0.13119476865376195, 0.08986686636763876, 0.41743436886338137, -0.20812787315858308, -0.2639042406633336, 0.0136477719937321, -0.27907053749727945, -0.18943734955723568, 0.22626143933514192, 0.026764316339125876, 0.028727054457391127, 0.06449853998899299, -0.052384327546322856, -0.08381057599238971, -0.14477868868859226, 0.3087651252205814, 0.06319081593024474, 0.3139517849776894, 0.1311893403068215, 0.049474667151889175, 0.036411042881222634, 0.04804013978679895, 0.04619802683792127, -0.09588610459969038, 0.07593579656664803, 0.1883371967536908, -0.04985465424295555, 0.245342618625571, -0.48276942179247895, -0.2330344270887254, -0.012639613417778365, 0.13776974028767516, 0.12395221327421485, -0.06981914898040154, -0.24533318018450612, 0.041624188660994495, -0.16020181734034772, -0.12187015995763803, -0.064619733359895, -0.007571544923809587, 0.04210109195061108, -0.22911144753978138, 0.08750653600505483, 0.06442709955241611, 0.035372412700868855, -0.1008437688885537, -0.14044015814540206, -0.07086643699796931, 0.05909428809536621, 0.0045660914983400094, -0.02829507740417255, 0.20465903494742407, -0.11233927521564227, -0.07595257486857634, 0.4070653924217788, -0.07663952990845647, -0.19349195350021606, 0.19948164630250664, -0.10797614172746937, -0.12071692581308545, 0.12395445969436437, 0.09733920848818235, 0.15806449102538248, -0.1799162587912012, 0.060319735625413276, -0.04774619512740643, 0.13519034426539175, -0.0040281080110098726, 0.03342564574252534, 0.22226529256365593, 0.26096355201055604, 0.06791679306276223, 0.10764456747640525, -0.1127661419531671, -0.09931096252334375, -0.2742578473883451, -0.20101035458301145, -0.2212970401260561, 0.09335120628282467, -0.07432816173084536, -0.24269773314271362, 0.403375532157639, 0.14841899513116769, 0.14233284838302362, -0.0027307697787119817, 0.2785173056456911, 0.1236344663944516, 0.07269738389739908, 0.0309681878475252, 0.199074113240806, 0.1728562258624582, 0.07796282853971245, -0.2876735470227657, 0.10181382786662828, 0.03485017853678875] |
710.3988 | Sexual reproduction from the male (men) point of view | To counterbalance the views presented here by Suzana Moss de Oliveira, we
explain here the truth: How men are oppressed by Mother Nature, who may have
made an error inventing us, and by living women, who could get rid of most of
us. Why do women live longer than us? Why is the Y chromosome for men so small?
What are the dangers of marital fidelity? In an appendix we mention the
demographic challenges of the future with many old and few young people.
| q-bio.PE | to counterbalance the views presented here by suzana moss de oliveira we explain here the truth how men are oppressed by mother nature who may have made an error inventing us and by living women who could get rid of most of us why do women live longer than us why is the y chromosome for men so small what are the dangers of marital fidelity in an appendix we mention the demographic challenges of the future with many old and few young people | [['to', 'counterbalance', 'the', 'views', 'presented', 'here', 'by', 'suzana', 'moss', 'de', 'oliveira', 'we', 'explain', 'here', 'the', 'truth', 'how', 'men', 'are', 'oppressed', 'by', 'mother', 'nature', 'who', 'may', 'have', 'made', 'an', 'error', 'inventing', 'us', 'and', 'by', 'living', 'women', 'who', 'could', 'get', 'rid', 'of', 'most', 'of', 'us', 'why', 'do', 'women', 'live', 'longer', 'than', 'us', 'why', 'is', 'the', 'y', 'chromosome', 'for', 'men', 'so', 'small', 'what', 'are', 'the', 'dangers', 'of', 'marital', 'fidelity', 'in', 'an', 'appendix', 'we', 'mention', 'the', 'demographic', 'challenges', 'of', 'the', 'future', 'with', 'many', 'old', 'and', 'few', 'young', 'people']] | [-0.04539660294399967, 0.16781738936004834, -0.09023400780980487, 0.1693769358841882, -0.17416982715163964, -0.16193625122218966, 0.11154534186921027, 0.397560836186251, -0.176059316626346, -0.35787551269406476, 0.08653786778309752, -0.3083728561304083, -0.16674682585500092, 0.16835073257813296, -0.25023489518382824, -0.08236276533830551, 0.049816799831172695, 0.054338767114712534, 0.04027937280283456, -0.38470632488087536, 0.2734245767323188, 0.07653263394709632, 0.1873585978881961, -0.0006107083796691822, 0.027325027639113635, -0.025460262378924584, -0.06721186314159668, -0.00782253708780171, -0.1341133911793081, 0.15035655693689653, 0.31045686770006115, 0.20359212947807398, 0.36199735100549385, -0.4759047269619193, -0.14739787563715265, 0.11382083884294493, 0.17236749998276987, 0.12111525083274906, -0.0077466719099376575, -0.3285955293440675, 0.06311934327788045, -0.17051419595548187, -0.14510975481313934, -0.0776532142625067, 0.04855899653588253, -0.01901343473266945, -0.16791078958278857, 0.07956139686943806, 0.016983342598226057, 0.09259518630892398, -0.026827702312786358, -0.1611204878258777, 0.021203168690294386, 0.2207340967269188, 0.13652304588138203, 0.015024459561759448, 0.11076353964429483, -0.14140321190906577, -0.13749716664294162, 0.31192082604281157, 0.05248912537652096, -0.14899394164108729, 0.20601712556342672, -0.16249711202536093, -0.12526412155613842, 0.07805034861596952, 0.09919321027315076, 0.055261123689811634, -0.16142294770218882, -0.004528206303233214, -0.05922838716756507, 0.16451459721078626, 0.15294764319950915, 0.008285394612368735, 0.21633560762527476, 0.0909738478598645, 0.01790829611512978, 0.0015559859001582645, -0.06415807238095496, -0.08553399927689727, -0.21059624063053045, -0.19372153350612126, -0.07456498449466314, 0.09085667329694493, -0.019809753235348174, -0.10301017384213138, 0.3263933058401727, 0.2096573415461995, 0.16378569677023283, 0.007217937087393309, 0.1933274927874466, -0.019665268889392715, 0.06515248313950128, 0.0746824218981327, 0.20367336085245732, 0.05857912317221334, 0.14495077917733826, -0.15484223988872156, 0.12305672110495977, -0.007047347836645253] |
710.3989 | C1-generic conservative diffeomorphisms have trivial centralizer | We prove that the spaces of C1 symplectomorphisms and of C1 volume-preserving
diffeomorphisms of connected manifolds both contain residual subsets of
diffeomorphisms whose centralizers are trivial. (Les diff\'eomorphismes
conservatifs C1-g\'en\'eriques ont un centralisateur trivial. Nous montrons que
l'espace des symplectomorphismes de classe C1 et l'espace des
diff\'eomomorphismes de classe C1 pr\'eservant une forme volume contiennent
tous deux des sous-ensembles r\'esiduels de diff\'eomorphismes dont le
centralisateur est trivial.)
| math.DS | we prove that the spaces of c1 symplectomorphisms and of c1 volumepreserving diffeomorphisms of connected manifolds both contain residual subsets of diffeomorphisms whose centralizers are trivial les diffeomorphismes conservatifs c1generiques ont un centralisateur trivial nous montrons que lespace des symplectomorphismes de classe c1 et lespace des diffeomomorphismes de classe c1 preservant une forme volume contiennent tous deux des sousensembles residuels de diffeomorphismes dont le centralisateur est trivial | [['we', 'prove', 'that', 'the', 'spaces', 'of', 'c1', 'symplectomorphisms', 'and', 'of', 'c1', 'volumepreserving', 'diffeomorphisms', 'of', 'connected', 'manifolds', 'both', 'contain', 'residual', 'subsets', 'of', 'diffeomorphisms', 'whose', 'centralizers', 'are', 'trivial', 'les', 'diffeomorphismes', 'conservatifs', 'c1generiques', 'ont', 'un', 'centralisateur', 'trivial', 'nous', 'montrons', 'que', 'lespace', 'des', 'symplectomorphismes', 'de', 'classe', 'c1', 'et', 'lespace', 'des', 'diffeomomorphismes', 'de', 'classe', 'c1', 'preservant', 'une', 'forme', 'volume', 'contiennent', 'tous', 'deux', 'des', 'sousensembles', 'residuels', 'de', 'diffeomorphismes', 'dont', 'le', 'centralisateur', 'est', 'trivial']] | [-0.375244690105319, 0.038117960824941594, -0.1762257742113434, 0.06230470680942138, -0.09129895409569144, -0.15884419458452612, -0.28182827748629885, 0.08443818705078836, -0.14337237342260778, -0.18521096274877588, 0.08684309082260976, -0.4119010508681337, -0.17483276166021824, 0.13566045234232055, -0.40382777416768173, -0.04337054876426313, -0.08757001249662912, -0.11528111668303609, 0.0019698393414728345, -0.3276980326200525, 0.3206206314779896, 0.02153768005470435, 0.24158625279863674, -0.07202288531698287, 0.21220551214840574, 0.08592933420247088, 0.07943767014270027, -0.15773006358649583, -0.37418431171354316, 0.03817858876039584, 0.4305358306039125, 0.12830712121988957, 0.16182158471395572, -0.31093574191133183, -0.006069756858050823, 0.22797350787441245, 0.14323030712936693, -0.10320637413921456, 0.026795417920220645, -0.5149725643607478, 0.20373756460224587, -0.20748143546904127, -0.0550558977915595, -0.08702246068666379, -0.10710050445050001, 0.05894903712905943, -0.1348582800477743, 0.1610759777482599, 0.15246388275797168, 0.21392897977493702, -0.05382843473150085, -0.23533967562252656, -0.3975589372528096, 0.00474976053131589, -0.17238479079290603, 0.15635650787347308, 0.043902081274427476, 0.17166504490499696, -0.01015736081947883, 0.26311692520199964, -0.14664326138639203, -0.11681143802901109, 0.14005226561178763, -0.07970696115129007, -0.42461294574507824, 0.11351916363152365, 0.03593723879506191, 0.18385626583670575, 0.26133197494782506, 0.47680157475697343, 0.04178462012981375, 0.11142370343829194, 0.26069418992071103, -0.08263607278931887, 0.0826017930948486, -0.1014959201682359, 0.09251121679650774, -0.2721983357730399, 0.021588419424369933, 0.04849898131894103, -0.2452887818062057, -0.3948577736193935, -0.007284007718165716, 0.1639700326602906, -0.050111117306854185, -0.38952640822778145, 0.11287103270490964, -0.066549159369121, 0.060771570288731404, 0.18409061377557615, 0.04471613764762879, -0.2932498701227208, -0.11215845125261695, 0.1489612736739218, 0.04140393150349458, 0.04940107327420264, 0.11782104171191653, -0.1827682574900488, -0.16252659161109478, 0.3825390465829211] |
710.399 | Scattering of Low-Frequency Radiation by a Gyrating Electron | The scattering of electromagnetic radiation by the particle gyrating in an
external magnetic field is considered. Particular attention is paid to the
low-frequency case, when the frequencies of incident radiation are much less
than the electron gyrofrequency. The spectral and polarization features of the
scattering cross-section are analyzed in detail. It is found that the
scattering transfers the low-frequency photons to high harmonics of the
gyrofrequency, into the range of the synchrotron emission of the electron. The
total scattering cross-section appears much larger than that for the particle
at rest. The problem studied is directly applicable to the radio wave
scattering in the magnetosphere of a pulsar. The particles acquire relativistic
rotational energies as a result of resonant absorption of the high-frequency
radio waves and concurrently scatter the low-frequency radio waves, which are
still below the resonance. It is shown that the scattering can affect the radio
intensity and polarization at the lowest frequencies and can compete with the
resonant absorption in contributing to the low-frequency turnover in the pulsar
spectrum. Moreover, the scattering can be an efficient mechanism of the pulsar
high-energy emission, in addition to the synchrotron re-emission of the
particles. Other astrophysical applications of the scattering by gyrating
particles are pointed out as well.
| astro-ph | the scattering of electromagnetic radiation by the particle gyrating in an external magnetic field is considered particular attention is paid to the lowfrequency case when the frequencies of incident radiation are much less than the electron gyrofrequency the spectral and polarization features of the scattering crosssection are analyzed in detail it is found that the scattering transfers the lowfrequency photons to high harmonics of the gyrofrequency into the range of the synchrotron emission of the electron the total scattering crosssection appears much larger than that for the particle at rest the problem studied is directly applicable to the radio wave scattering in the magnetosphere of a pulsar the particles acquire relativistic rotational energies as a result of resonant absorption of the highfrequency radio waves and concurrently scatter the lowfrequency radio waves which are still below the resonance it is shown that the scattering can affect the radio intensity and polarization at the lowest frequencies and can compete with the resonant absorption in contributing to the lowfrequency turnover in the pulsar spectrum moreover the scattering can be an efficient mechanism of the pulsar highenergy emission in addition to the synchrotron reemission of the particles other astrophysical applications of the scattering by gyrating particles are pointed out as well | [['the', 'scattering', 'of', 'electromagnetic', 'radiation', 'by', 'the', 'particle', 'gyrating', 'in', 'an', 'external', 'magnetic', 'field', 'is', 'considered', 'particular', 'attention', 'is', 'paid', 'to', 'the', 'lowfrequency', 'case', 'when', 'the', 'frequencies', 'of', 'incident', 'radiation', 'are', 'much', 'less', 'than', 'the', 'electron', 'gyrofrequency', 'the', 'spectral', 'and', 'polarization', 'features', 'of', 'the', 'scattering', 'crosssection', 'are', 'analyzed', 'in', 'detail', 'it', 'is', 'found', 'that', 'the', 'scattering', 'transfers', 'the', 'lowfrequency', 'photons', 'to', 'high', 'harmonics', 'of', 'the', 'gyrofrequency', 'into', 'the', 'range', 'of', 'the', 'synchrotron', 'emission', 'of', 'the', 'electron', 'the', 'total', 'scattering', 'crosssection', 'appears', 'much', 'larger', 'than', 'that', 'for', 'the', 'particle', 'at', 'rest', 'the', 'problem', 'studied', 'is', 'directly', 'applicable', 'to', 'the', 'radio', 'wave', 'scattering', 'in', 'the', 'magnetosphere', 'of', 'a', 'pulsar', 'the', 'particles', 'acquire', 'relativistic', 'rotational', 'energies', 'as', 'a', 'result', 'of', 'resonant', 'absorption', 'of', 'the', 'highfrequency', 'radio', 'waves', 'and', 'concurrently', 'scatter', 'the', 'lowfrequency', 'radio', 'waves', 'which', 'are', 'still', 'below', 'the', 'resonance', 'it', 'is', 'shown', 'that', 'the', 'scattering', 'can', 'affect', 'the', 'radio', 'intensity', 'and', 'polarization', 'at', 'the', 'lowest', 'frequencies', 'and', 'can', 'compete', 'with', 'the', 'resonant', 'absorption', 'in', 'contributing', 'to', 'the', 'lowfrequency', 'turnover', 'in', 'the', 'pulsar', 'spectrum', 'moreover', 'the', 'scattering', 'can', 'be', 'an', 'efficient', 'mechanism', 'of', 'the', 'pulsar', 'highenergy', 'emission', 'in', 'addition', 'to', 'the', 'synchrotron', 'reemission', 'of', 'the', 'particles', 'other', 'astrophysical', 'applications', 'of', 'the', 'scattering', 'by', 'gyrating', 'particles', 'are', 'pointed', 'out', 'as', 'well']] | [-0.09599005830629419, 0.2340725081971934, -0.02886248074903868, 0.12037351261655652, -0.08158680063037985, -0.05277195863272761, -0.03198853946304408, 0.404439196512463, -0.25185615411208234, -0.2882775233851539, 0.032464739134319236, -0.3184670355611881, -0.040633924237951854, 0.23152154276219472, 0.08073767167032395, 0.0020942618296558154, 0.011855668433298524, 0.010344793372180151, 0.027836172856111528, -0.1249873531054495, 0.291773352742753, 0.15596050942757567, 0.2562286981610932, 0.08152020637031447, 0.05035156062534214, 0.020823948865909363, -0.014896190401328646, -0.036199748126906905, -0.028167584245642904, 0.06544175594375842, 0.2450753043929862, 0.0411705073196405, 0.1540369596557269, -0.4318441100202609, -0.24501241401629748, 0.06367095316431805, 0.17986814596505774, 0.10089881395288981, -0.014890243550132654, -0.24790222547973106, 0.011269634549060593, -0.15249979188935697, -0.1598715635560957, 0.038260490678749634, 0.04113632518570906, 0.030794450785438326, -0.23965724137418223, 0.07482716865423653, 0.0454044568432261, -0.013864008835764323, -0.10538318801833235, -0.08814939615375178, -0.040014904101518686, 0.04946824288569899, 0.11327691514332945, 0.017958793143521327, 0.18026961907879382, -0.15234157501760384, -0.08359196674385769, 0.4337131922472952, -0.047828165931961215, -0.12511076839867943, 0.184878308603828, -0.2676107227905757, -0.07399899371256287, 0.2642196482182413, 0.15871447487171866, 0.10278289027260122, -0.13735211638719402, 0.044994094754357776, -0.011466639201819857, 0.16705430980888758, 0.11694257534536474, 0.08249912600838331, 0.25827862280938363, 0.1316813711368857, 0.013167519259585994, 0.13616678675671517, -0.2014572192028453, 0.016107404010667317, -0.26406798404663945, -0.07027288364327472, -0.18393049241214596, 0.06404544861787866, -0.05104840373425522, -0.11589589049735395, 0.39558764690407305, 0.12621615261766286, 0.14232367981261246, -0.0008379214523126177, 0.34922418761368534, 0.21457426508569163, 0.07613350637482057, 0.08347573730608691, 0.374689157312097, 0.15863982308543498, 0.13830353093113085, -0.27744876379979516, 0.018270477200385885, -0.05973489326481136] |
710.3991 | Dirichlet Duality and the Nonlinear Dirichlet Problem | We study the Dirichlet problem for fully nonlinear, degenerate elliptic
equations of the form f(Hess, u)=0 on a smoothly bounded domain D in R^n. In
our approach the equation is replaced by a subset F of the space of symmetric
nxn-matrices, with bdy(F) contined in the set {f=0}. We establish the existence
and uniqueness of continuous solutions under an explicit geometric
``F-convexity'' assumption on the boundary bdy(F). The topological structure of
F-convex domains is also studied and a theorem of Andreotti-Frankel type is
proved for them. Two key ingredients in the analysis are the use of subaffine
functions and Dirichlet duality, both introduced here. Associated to F is a
Dirichlet dual set F* which gives a dual Dirichlet problem. This pairing is a
true duality in that the dual of F* is F and in the analysis the roles of F and
F* are interchangeable. The duality also clarifies many features of the problem
including the appropriate conditions on the boundary. Many interesting examples
are covered by these results including: All branches of the homogeneous
Monge-Ampere equation over R, C and H; equations appearing naturally in
calibrated geometry, Lagrangian geometry and p-convex riemannian geometry, and
all branches of the Special Lagrangian potential equation.
| math.AP math.CV math.DG | we study the dirichlet problem for fully nonlinear degenerate elliptic equations of the form fhess u0 on a smoothly bounded domain d in rn in our approach the equation is replaced by a subset f of the space of symmetric nxnmatrices with bdyf contined in the set f0 we establish the existence and uniqueness of continuous solutions under an explicit geometric fconvexity assumption on the boundary bdyf the topological structure of fconvex domains is also studied and a theorem of andreottifrankel type is proved for them two key ingredients in the analysis are the use of subaffine functions and dirichlet duality both introduced here associated to f is a dirichlet dual set f which gives a dual dirichlet problem this pairing is a true duality in that the dual of f is f and in the analysis the roles of f and f are interchangeable the duality also clarifies many features of the problem including the appropriate conditions on the boundary many interesting examples are covered by these results including all branches of the homogeneous mongeampere equation over r c and h equations appearing naturally in calibrated geometry lagrangian geometry and pconvex riemannian geometry and all branches of the special lagrangian potential equation | [['we', 'study', 'the', 'dirichlet', 'problem', 'for', 'fully', 'nonlinear', 'degenerate', 'elliptic', 'equations', 'of', 'the', 'form', 'fhess', 'u0', 'on', 'a', 'smoothly', 'bounded', 'domain', 'd', 'in', 'rn', 'in', 'our', 'approach', 'the', 'equation', 'is', 'replaced', 'by', 'a', 'subset', 'f', 'of', 'the', 'space', 'of', 'symmetric', 'nxnmatrices', 'with', 'bdyf', 'contined', 'in', 'the', 'set', 'f0', 'we', 'establish', 'the', 'existence', 'and', 'uniqueness', 'of', 'continuous', 'solutions', 'under', 'an', 'explicit', 'geometric', 'fconvexity', 'assumption', 'on', 'the', 'boundary', 'bdyf', 'the', 'topological', 'structure', 'of', 'fconvex', 'domains', 'is', 'also', 'studied', 'and', 'a', 'theorem', 'of', 'andreottifrankel', 'type', 'is', 'proved', 'for', 'them', 'two', 'key', 'ingredients', 'in', 'the', 'analysis', 'are', 'the', 'use', 'of', 'subaffine', 'functions', 'and', 'dirichlet', 'duality', 'both', 'introduced', 'here', 'associated', 'to', 'f', 'is', 'a', 'dirichlet', 'dual', 'set', 'f', 'which', 'gives', 'a', 'dual', 'dirichlet', 'problem', 'this', 'pairing', 'is', 'a', 'true', 'duality', 'in', 'that', 'the', 'dual', 'of', 'f', 'is', 'f', 'and', 'in', 'the', 'analysis', 'the', 'roles', 'of', 'f', 'and', 'f', 'are', 'interchangeable', 'the', 'duality', 'also', 'clarifies', 'many', 'features', 'of', 'the', 'problem', 'including', 'the', 'appropriate', 'conditions', 'on', 'the', 'boundary', 'many', 'interesting', 'examples', 'are', 'covered', 'by', 'these', 'results', 'including', 'all', 'branches', 'of', 'the', 'homogeneous', 'mongeampere', 'equation', 'over', 'r', 'c', 'and', 'h', 'equations', 'appearing', 'naturally', 'in', 'calibrated', 'geometry', 'lagrangian', 'geometry', 'and', 'pconvex', 'riemannian', 'geometry', 'and', 'all', 'branches', 'of', 'the', 'special', 'lagrangian', 'potential', 'equation']] | [-0.17241387606272238, 0.046658939599880336, -0.07408163120478467, 0.05977862014324135, -0.09515424329978958, -0.12959057415083883, -0.02061551305474855, 0.3034616417882652, -0.3046433015107201, -0.21652822916013031, 0.1259268344525333, -0.2702449021877503, -0.15062168400101175, 0.19470502049922186, -0.06259909202462904, 0.057428414848288, 0.031767186874802684, 0.06261722473333103, -0.08967843290322654, -0.22891657283236533, 0.4058401984952125, -0.09340727586431552, 0.2399914904525929, 0.06150293352258472, 0.10054435197802894, -0.0039277313924796385, -0.010510288639854507, 0.012506612262016086, -0.17608412556359243, 0.1332332535645674, 0.24941055232725168, 0.07763187731214359, 0.2727851445395452, -0.3947906125062689, -0.2082361002726868, 0.12225263678293845, 0.0944412484544041, 0.009966801919946021, -0.01848381758445335, -0.276556696733318, 0.08935817353295039, -0.07892366872656012, -0.16365993574148205, -0.05266048275005205, 0.025385398807732135, 0.038980047225592854, -0.30077235007730696, 0.06384658207127063, 0.12794445215388756, 0.03611870945625121, -0.1314408992532981, -0.10508212669832906, -0.05489079862346088, 0.0630275226046856, 0.027666174111708165, 0.060720423127756204, 0.02618271248240194, -0.12580282175984367, -0.04967275360920632, 0.3475258085400405, -0.05816461941047671, -0.2903895867222608, 0.17465075125284305, -0.12047564789302988, -0.1311030984320796, 0.07566128111725702, 0.12308111489008224, 0.18145793443309322, -0.1274061862353902, 0.22565874919593146, -0.0934703787067801, 0.08443670407017967, 0.10202140858229061, -0.008172655038459955, 0.1374034589040684, 0.09058306728806441, 0.09830164381711824, 0.15404819025478425, -0.0033879512216278876, -0.11511852581356534, -0.3887265226354605, -0.15132837030276666, -0.15440288888007464, 0.07633224620512181, -0.10458065851574981, -0.18993899481475052, 0.3826970275843677, 0.05625958389219672, 0.19631326553851441, 0.020856088872994224, 0.20557945029843164, 0.12804435898604813, 0.004688725977554577, 0.05829834026818726, 0.15137464844806092, 0.1856712347586748, 0.05947149360758078, -0.19631489727712298, 0.008456218990067087, 0.1470923867849438] |
710.3992 | Zero modes for the magnetic Pauli operator in even-dimensional Euclidean
space | We study the ground state of the Pauli Hamiltonian with a magnetic field in
R^(2d). We consider the case where a scalar potential W is present and the
magnetic field B is given by $B=2i\partial\bar\partial W$. The main result is
that there are no zero modes if the magnetic field decays faster than
quadratically at infinity. If the magnetic field decays quadratically then zero
modes may appear, and we give a lower bound for the number of them. The results
in this paper partly correct a mistake in a paper from 1993.
| math.SP | we study the ground state of the pauli hamiltonian with a magnetic field in r2d we consider the case where a scalar potential w is present and the magnetic field b is given by b2ipartialbarpartial w the main result is that there are no zero modes if the magnetic field decays faster than quadratically at infinity if the magnetic field decays quadratically then zero modes may appear and we give a lower bound for the number of them the results in this paper partly correct a mistake in a paper from 1993 | [['we', 'study', 'the', 'ground', 'state', 'of', 'the', 'pauli', 'hamiltonian', 'with', 'a', 'magnetic', 'field', 'in', 'r2d', 'we', 'consider', 'the', 'case', 'where', 'a', 'scalar', 'potential', 'w', 'is', 'present', 'and', 'the', 'magnetic', 'field', 'b', 'is', 'given', 'by', 'b2ipartialbarpartial', 'w', 'the', 'main', 'result', 'is', 'that', 'there', 'are', 'no', 'zero', 'modes', 'if', 'the', 'magnetic', 'field', 'decays', 'faster', 'than', 'quadratically', 'at', 'infinity', 'if', 'the', 'magnetic', 'field', 'decays', 'quadratically', 'then', 'zero', 'modes', 'may', 'appear', 'and', 'we', 'give', 'a', 'lower', 'bound', 'for', 'the', 'number', 'of', 'them', 'the', 'results', 'in', 'this', 'paper', 'partly', 'correct', 'a', 'mistake', 'in', 'a', 'paper', 'from', '1993']] | [-0.17509224268884122, 0.23315588311691368, -0.048002540886115566, 0.038429811845052536, -0.0595955065308282, -0.13443417711551864, 0.04052054468839133, 0.30464938600742064, -0.22029496420297648, -0.2738623518271597, 0.06459547390593318, -0.28445294624255907, -0.12126206105145124, 0.17001200905376737, -0.010351389216688963, -0.028345018579204986, 0.07018291436463267, 0.12517976642146214, -0.03851998326941752, -0.26037697303927615, 0.3359883027151227, -0.015129369435381594, 0.20590146050716823, 0.05568457261792251, 0.011918762870833974, 0.0008369021803386263, 0.05757247384351034, 0.03627002592311128, -0.14124520027098197, 0.036761180753563785, 0.16864853834344462, 0.08224784981991563, 0.2971916770316906, -0.4055747033127553, -0.12403822919752981, 0.13613408219560488, 0.1593117298415074, 0.15411242622124788, -0.05925736592693643, -0.24604003051306111, 0.11986272496805823, -0.11160585703839968, -0.12380636622105817, -0.04035182299788345, 0.03733565632233417, -0.03553644046033886, -0.29180450108066036, 0.07167387794150593, 0.09216254678104523, 0.06503819760221702, -0.056487641942042574, -0.14399866360127106, -0.00398782956424159, 0.04488897677715663, 0.12352395402190817, 0.13791626955095965, 0.09138936743365375, -0.13403238984244456, -0.0944245427163768, 0.3486915856681682, -0.11985566136558351, -0.20338712888513946, 0.17379697918339254, -0.186665289989253, -0.08830100298951288, 0.1317250191715065, 0.15403911837755324, 0.12494485422068245, -0.10202129251722779, 0.1653870758485397, -0.05553387651977303, 0.13477308708396588, 0.027868587631159104, 0.02748927398160059, 0.17520656082574482, 0.08444286503696016, 0.10572720011491533, 0.1643416736873665, -0.0791086784828132, -0.008646386128000833, -0.3645093682181131, -0.18330397400403764, -0.1992246506653808, 0.08457883479646765, -0.01838287300203804, -0.1614918894758755, 0.4027396452787158, 0.13447997159872122, 0.21700756256929138, 0.04637110943568277, 0.29730769625486253, 0.1632299086355328, 0.028950015454588886, 0.13064883204028624, 0.2688721338655431, 0.1876655256984612, 0.09389878041878506, -0.203536504672349, -0.006771609740418761, 0.040596269603286474] |
710.3993 | A Study of the Radiative Ke3 Decay and Search for Direct Photon Emission
with the KLOE Detector | We present a measurement of the ratio R =
\Gamma(\keg;\Estar>30\mev,\qstar>20^\circ)$/$\Gamma(\kegf)$ and a first
measurement of the direct emission contribution in KL semileptonic decays. The
measurement is done at the DAFNE phi-factory selecting phi->KL KS decays with
the KLOE detector. We use 328 pb^{-1}$ of data corresponding to about 3.5
million Ke3(g) events and about 9000 radiative events. Our result is R=(924 +/-
23(stat) +/-16(syst)10^{-5} for the branching ratio and X=-2.3 +/- 1.3(stat)
+/- 1.4(syst) for the parameter describing direct emission.
| hep-ex | we present a measurement of the ratio r gammakegestar30mevqstar20circgammakegf and a first measurement of the direct emission contribution in kl semileptonic decays the measurement is done at the dafne phifactory selecting phikl ks decays with the kloe detector we use 328 pb1 of data corresponding to about 35 million ke3g events and about 9000 radiative events our result is r924 23stat 16syst105 for the branching ratio and x23 13stat 14syst for the parameter describing direct emission | [['we', 'present', 'a', 'measurement', 'of', 'the', 'ratio', 'r', 'gammakegestar30mevqstar20circgammakegf', 'and', 'a', 'first', 'measurement', 'of', 'the', 'direct', 'emission', 'contribution', 'in', 'kl', 'semileptonic', 'decays', 'the', 'measurement', 'is', 'done', 'at', 'the', 'dafne', 'phifactory', 'selecting', 'phikl', 'ks', 'decays', 'with', 'the', 'kloe', 'detector', 'we', 'use', '328', 'pb1', 'of', 'data', 'corresponding', 'to', 'about', '35', 'million', 'ke3g', 'events', 'and', 'about', '9000', 'radiative', 'events', 'our', 'result', 'is', 'r924', '23stat', '16syst105', 'for', 'the', 'branching', 'ratio', 'and', 'x23', '13stat', '14syst', 'for', 'the', 'parameter', 'describing', 'direct', 'emission']] | [-0.06770465931359967, 0.11138827533913698, -0.051883743531529754, 0.06415806564831988, -0.05312812018116385, -0.0994038235291209, 0.10374002292437452, 0.3011868975164605, -0.16619653380672697, -0.3416327285214695, 0.027900166355375147, -0.42595789933078726, 0.09049180096251444, 0.1691906863305403, 0.09270608476297536, 0.09743860263121643, 0.13746298707260843, -0.03140261949656505, -0.04663863646122299, -0.15903394911962915, 0.2127611157812283, 0.10745397392450504, 0.20446064554049936, 0.07870341156622473, 0.06941253102456653, 0.01157492615813783, -0.11779490283782214, -0.08281501627225481, -0.1797855742354418, 0.044511640444397926, 0.22253285574031548, 0.17619109002161693, 0.16415955228599863, -0.289934097972869, -0.0320193242858833, 0.12274814707974732, 0.11744549093951642, 0.026765013375962283, -0.012531278399147198, -0.34708228483009085, 0.10968961912981222, -0.1653981668559808, -0.039545783550071885, 0.03698074136545856, 0.08444046264540561, -0.10717870948285284, -0.3576147648650156, 0.1071528628678389, -0.0493539411895974, 0.10548943109133176, -0.010920884192619525, -0.20840047749126672, 0.055068820508354356, 0.017908755624273295, 0.060677103586757264, 0.08473137383755873, 0.19328018987525097, -0.07566697957177818, -0.13168948828439478, 0.33058936122647475, -0.10218875356753107, -0.07109396296067977, 0.14041407663427607, -0.21103034835492432, -0.13433266369442284, 0.20435893190631144, 0.20194660180943533, 0.09384657430764236, -0.20700252090226595, 0.00988033638601388, -0.0035097874884664174, 0.20092649869358456, 0.07339787974455197, 0.03542929636576856, 0.1479588648645391, 0.22706337406260657, -0.03652758256886417, 0.09826613920675197, -0.20789940120048925, -0.0067713049988091835, -0.3894272878713591, -0.17619094039308575, -0.09038912858748414, 0.13346873323472452, -0.06820404530411855, -0.020388616576895748, 0.3793243303842528, 0.09265918783764814, 0.29316988729045423, 0.03996211295606385, 0.3121609606544002, 0.08128107947208853, 0.035209001481375644, 0.047991034955206055, 0.33307766123399346, 0.17286822253684053, 0.1470914028689895, -0.2363354533412297, 0.03538238914998274, -0.012443239472701515] |
710.3994 | Accelerating Universe and Pioneer anomaly as manifestation of conformal
time inhomogeneity | The description of the cosmological expansion and its possible local
manifestations via treating the proper conformal transformations as a
coordinate transformation from a comoving Lorentz reference frame (RF) to an
uniformly accelerated RF is given. The explicit form of the conformal
deformation of time is established. The expression defining the location
cosmological distance in the form of simple function on the red shift is
obtained. By coupling it with the well known relativistic formula defining the
relative velocity of the mutually moving apart source and receiver of the
signal, the explicit analytic expression for the Hubble law is obtained. The
connection between acceleration and the Hubble constant follows therefrom
immediately. The expression for the conformal time deformation in the small
time limit leads to the quadratic time nonlinearity. Being applied to describe
the location-type experiments, this predicts the existence of the uniformly
changing blue-shifted frequency drift. Phenomenon of the Pioneer Anomaly (PA)
is treated as the first of such a kind of effects discovered experimentally.
The obtained formulae reproduce the PA experimental data. The expression
generalizing the conventional Hubble law reproduces the experimentally observed
phenomenon which in the frame of the conventional cosmological paradigm is
treated as the transition from the decelerated expansion of the Universe to the
accelerated one.
| gr-qc | the description of the cosmological expansion and its possible local manifestations via treating the proper conformal transformations as a coordinate transformation from a comoving lorentz reference frame rf to an uniformly accelerated rf is given the explicit form of the conformal deformation of time is established the expression defining the location cosmological distance in the form of simple function on the red shift is obtained by coupling it with the well known relativistic formula defining the relative velocity of the mutually moving apart source and receiver of the signal the explicit analytic expression for the hubble law is obtained the connection between acceleration and the hubble constant follows therefrom immediately the expression for the conformal time deformation in the small time limit leads to the quadratic time nonlinearity being applied to describe the locationtype experiments this predicts the existence of the uniformly changing blueshifted frequency drift phenomenon of the pioneer anomaly pa is treated as the first of such a kind of effects discovered experimentally the obtained formulae reproduce the pa experimental data the expression generalizing the conventional hubble law reproduces the experimentally observed phenomenon which in the frame of the conventional cosmological paradigm is treated as the transition from the decelerated expansion of the universe to the accelerated one | [['the', 'description', 'of', 'the', 'cosmological', 'expansion', 'and', 'its', 'possible', 'local', 'manifestations', 'via', 'treating', 'the', 'proper', 'conformal', 'transformations', 'as', 'a', 'coordinate', 'transformation', 'from', 'a', 'comoving', 'lorentz', 'reference', 'frame', 'rf', 'to', 'an', 'uniformly', 'accelerated', 'rf', 'is', 'given', 'the', 'explicit', 'form', 'of', 'the', 'conformal', 'deformation', 'of', 'time', 'is', 'established', 'the', 'expression', 'defining', 'the', 'location', 'cosmological', 'distance', 'in', 'the', 'form', 'of', 'simple', 'function', 'on', 'the', 'red', 'shift', 'is', 'obtained', 'by', 'coupling', 'it', 'with', 'the', 'well', 'known', 'relativistic', 'formula', 'defining', 'the', 'relative', 'velocity', 'of', 'the', 'mutually', 'moving', 'apart', 'source', 'and', 'receiver', 'of', 'the', 'signal', 'the', 'explicit', 'analytic', 'expression', 'for', 'the', 'hubble', 'law', 'is', 'obtained', 'the', 'connection', 'between', 'acceleration', 'and', 'the', 'hubble', 'constant', 'follows', 'therefrom', 'immediately', 'the', 'expression', 'for', 'the', 'conformal', 'time', 'deformation', 'in', 'the', 'small', 'time', 'limit', 'leads', 'to', 'the', 'quadratic', 'time', 'nonlinearity', 'being', 'applied', 'to', 'describe', 'the', 'locationtype', 'experiments', 'this', 'predicts', 'the', 'existence', 'of', 'the', 'uniformly', 'changing', 'blueshifted', 'frequency', 'drift', 'phenomenon', 'of', 'the', 'pioneer', 'anomaly', 'pa', 'is', 'treated', 'as', 'the', 'first', 'of', 'such', 'a', 'kind', 'of', 'effects', 'discovered', 'experimentally', 'the', 'obtained', 'formulae', 'reproduce', 'the', 'pa', 'experimental', 'data', 'the', 'expression', 'generalizing', 'the', 'conventional', 'hubble', 'law', 'reproduces', 'the', 'experimentally', 'observed', 'phenomenon', 'which', 'in', 'the', 'frame', 'of', 'the', 'conventional', 'cosmological', 'paradigm', 'is', 'treated', 'as', 'the', 'transition', 'from', 'the', 'decelerated', 'expansion', 'of', 'the', 'universe', 'to', 'the', 'accelerated', 'one']] | [-0.13774451211709796, 0.1094002390837586, -0.09718197638655758, 0.04700968296681508, -0.09789876917457324, -0.11188049609527777, 0.0014006539511674811, 0.319584453853881, -0.280870600258174, -0.2615183214322802, 0.05101994968534104, -0.23158288679785277, -0.10542579119319445, 0.19204995218156415, 0.0010500122797474907, 0.018102857466669012, -0.018943200598617916, 0.09284228328882792, -0.07414607337534508, -0.18041392627648972, 0.2741602133340135, 0.10652915956859108, 0.2705545811323476, -0.01029314237767073, 0.15487579826397027, -0.023229613606082767, -0.05825248011081528, 0.016772507821347867, -0.14187508263139492, 0.07196939967875703, 0.20203352565587493, 0.12333474905591048, 0.21256149249178086, -0.38299396430904215, -0.20557701297140007, 0.08161351752760442, 0.13143442801320168, 0.1390573706909007, -0.04750869418026514, -0.2903229782946016, -0.0005247202193872495, -0.14611633069831076, -0.19495592289047237, -0.014750232258321424, 0.01778220791039926, 0.01243290121769577, -0.24593684776646027, 0.13891151084672337, 0.04718062125384372, 0.03295347624587599, -0.10712544879548555, -0.04387553050138199, 0.013621672367427552, 0.13290602079276262, 0.09634030158754046, 0.07488037449971698, 0.13679991217199758, -0.10414853208012094, -0.058725343894605576, 0.422932757960374, -0.10590674221386429, -0.14922459218715112, 0.12503408047629067, -0.17337150147862054, -0.07516831169060864, 0.11737051816505678, 0.08956034261394631, 0.09573401486938073, -0.15384173250153357, 0.10911766651256954, -0.003212762428403043, 0.10628788387146668, 0.11968759731857471, 0.008955599620668707, 0.18062163908179385, 0.09202343708296355, 0.014283854347257095, 0.13958681554368665, -0.09369928061930935, -0.103894822001201, -0.3897168398990728, -0.12790683719538973, -0.21727987654556177, 0.05256856529601364, -0.15142408897410956, -0.15510999837903636, 0.3746998802999382, 0.08660433812154085, 0.23410935254553644, 0.06769010638896127, 0.3154211805834832, 0.1540980145505643, 0.10048646914647918, 0.04647895981085322, 0.29187830621220673, 0.1399434310145694, 0.11470625448979506, -0.26295907456766476, 0.07168544134869838, 0.10318962339106857] |
710.3995 | The Hubble constant and dark energy from cosmological distance measures | We study how the determination of the Hubble constant from cosmological
distance measures is affected by models of dark energy and vice versa. For this
purpose, constraints on the Hubble constant and dark energy are investigated
using the cosmological observations of cosmic microwave background, baryon
acoustic oscillations and type Ia suprenovae. When one investigates dark
energy, the Hubble constant is often a nuisance parameter, thus it is usually
marginalized over. On the other hand, when one focuses on the Hubble constant,
simple dark energy models such as a cosmological constant and a constant
equation of state are usually assumed. Since we do not know the nature of dark
energy yet, it is interesting to investigate the Hubble constant assuming some
types of dark energy and see to what extent the constraint on the Hubble
constant is affected by the assumption concerning dark energy. We show that the
constraint on the Hubble constant is not affected much by the assumption for
dark energy. We furthermore show that this holds true even if we remove the
assumption that the universe is flat. We also discuss how the prior on the
Hubble constant affects the constraints on dark energy and/or the curvature of
the universe.
| astro-ph | we study how the determination of the hubble constant from cosmological distance measures is affected by models of dark energy and vice versa for this purpose constraints on the hubble constant and dark energy are investigated using the cosmological observations of cosmic microwave background baryon acoustic oscillations and type ia suprenovae when one investigates dark energy the hubble constant is often a nuisance parameter thus it is usually marginalized over on the other hand when one focuses on the hubble constant simple dark energy models such as a cosmological constant and a constant equation of state are usually assumed since we do not know the nature of dark energy yet it is interesting to investigate the hubble constant assuming some types of dark energy and see to what extent the constraint on the hubble constant is affected by the assumption concerning dark energy we show that the constraint on the hubble constant is not affected much by the assumption for dark energy we furthermore show that this holds true even if we remove the assumption that the universe is flat we also discuss how the prior on the hubble constant affects the constraints on dark energy andor the curvature of the universe | [['we', 'study', 'how', 'the', 'determination', 'of', 'the', 'hubble', 'constant', 'from', 'cosmological', 'distance', 'measures', 'is', 'affected', 'by', 'models', 'of', 'dark', 'energy', 'and', 'vice', 'versa', 'for', 'this', 'purpose', 'constraints', 'on', 'the', 'hubble', 'constant', 'and', 'dark', 'energy', 'are', 'investigated', 'using', 'the', 'cosmological', 'observations', 'of', 'cosmic', 'microwave', 'background', 'baryon', 'acoustic', 'oscillations', 'and', 'type', 'ia', 'suprenovae', 'when', 'one', 'investigates', 'dark', 'energy', 'the', 'hubble', 'constant', 'is', 'often', 'a', 'nuisance', 'parameter', 'thus', 'it', 'is', 'usually', 'marginalized', 'over', 'on', 'the', 'other', 'hand', 'when', 'one', 'focuses', 'on', 'the', 'hubble', 'constant', 'simple', 'dark', 'energy', 'models', 'such', 'as', 'a', 'cosmological', 'constant', 'and', 'a', 'constant', 'equation', 'of', 'state', 'are', 'usually', 'assumed', 'since', 'we', 'do', 'not', 'know', 'the', 'nature', 'of', 'dark', 'energy', 'yet', 'it', 'is', 'interesting', 'to', 'investigate', 'the', 'hubble', 'constant', 'assuming', 'some', 'types', 'of', 'dark', 'energy', 'and', 'see', 'to', 'what', 'extent', 'the', 'constraint', 'on', 'the', 'hubble', 'constant', 'is', 'affected', 'by', 'the', 'assumption', 'concerning', 'dark', 'energy', 'we', 'show', 'that', 'the', 'constraint', 'on', 'the', 'hubble', 'constant', 'is', 'not', 'affected', 'much', 'by', 'the', 'assumption', 'for', 'dark', 'energy', 'we', 'furthermore', 'show', 'that', 'this', 'holds', 'true', 'even', 'if', 'we', 'remove', 'the', 'assumption', 'that', 'the', 'universe', 'is', 'flat', 'we', 'also', 'discuss', 'how', 'the', 'prior', 'on', 'the', 'hubble', 'constant', 'affects', 'the', 'constraints', 'on', 'dark', 'energy', 'andor', 'the', 'curvature', 'of', 'the', 'universe']] | [-0.13450484553036923, 0.15059905313418723, -0.0832038879329663, 0.14413368617895694, -0.16593068268205693, -0.12144120349849931, 0.015807698232895552, 0.34600301572487724, -0.25758670282953267, -0.3390820277825841, 0.10192823565486281, -0.22112159962436898, -0.05025100972693395, 0.20284523979693522, -0.01458876787114944, -0.03852236594319047, 0.021068191289002846, 0.0739144242591044, -0.029808526124286267, -0.30056944013971704, 0.401678047258759, 0.10645203659338738, 0.24390078816025412, 0.044715031389545516, 0.11707809598495562, -0.048444371407536505, -0.09915009096718917, 0.019348582315990768, -0.2571525028953459, 0.024057330921887703, 0.13013570102219688, 0.14046531256788702, 0.2450991119223355, -0.4018341121889317, -0.26220876634797424, 0.20930138825258213, 0.1448716854390489, 0.12240999162113711, -0.017791078029205067, -0.25247367840742146, 0.028489359875154028, -0.09924480247552234, -0.08518012120522818, -0.011029915187961946, -0.025268516202100473, 0.008242678149737677, -0.20494981414281685, 0.16104047715913536, -0.02542179467420636, -0.06889185370339905, -0.14705230739542205, -0.09389590195366251, -0.0019284921712172565, 0.015931800655633748, 0.10698133005253248, 0.01378488356701622, 0.1530906796983596, -0.19156061784498654, 0.00818046832003107, 0.4103220095649473, -0.13553221684151368, -0.17458600160290502, 0.1252401332922317, -0.13995136424959337, -0.13995215498937286, 0.056751589293114434, 0.1022989071537254, 0.05886609950427207, -0.12535196633859472, 0.18171258825914174, -0.004051516119817003, 0.2284368440898052, 0.07463082124940143, 0.052877631073178194, 0.2482965603072326, 0.12673139814241088, 0.09652840407143592, 0.030236778317763013, -0.09311485618691132, -0.045217930729644584, -0.3348691466435864, -0.13062414746564716, -0.22766059837350391, 0.08405577557509537, -0.1228263315993601, -0.14132059255003263, 0.352764553886222, 0.09765988201903764, 0.20807585206846543, 0.041697465351305495, 0.35072262227461115, 0.06363953271387283, 0.03623625977122368, 0.08520250678043906, 0.3548902715656232, 0.07888610654427156, 0.1051675451969246, -0.2313715631515251, 0.056989332297307196, -0.002001673696720185] |
710.3996 | Universal quantum computation with electronic qubits in decoherence-free
subspace | We investigate how to carry out universal quantum computation
deterministically with free electrons in decoherence-free subspace by using
polarizing beam splitters, charge detectors, and single-spin rotations. Quantum
information in our case is encoded in spin degrees of freedom of the
electron-pairs which construct a decoherence-free subspace. We design building
blocks for two noncommutable single-logic-qubit gates and a logic controlled
phase gate, based on which a universal and scalable quantum information
processing robust to dephasing is available in a deterministic way.
| quant-ph | we investigate how to carry out universal quantum computation deterministically with free electrons in decoherencefree subspace by using polarizing beam splitters charge detectors and singlespin rotations quantum information in our case is encoded in spin degrees of freedom of the electronpairs which construct a decoherencefree subspace we design building blocks for two noncommutable singlelogicqubit gates and a logic controlled phase gate based on which a universal and scalable quantum information processing robust to dephasing is available in a deterministic way | [['we', 'investigate', 'how', 'to', 'carry', 'out', 'universal', 'quantum', 'computation', 'deterministically', 'with', 'free', 'electrons', 'in', 'decoherencefree', 'subspace', 'by', 'using', 'polarizing', 'beam', 'splitters', 'charge', 'detectors', 'and', 'singlespin', 'rotations', 'quantum', 'information', 'in', 'our', 'case', 'is', 'encoded', 'in', 'spin', 'degrees', 'of', 'freedom', 'of', 'the', 'electronpairs', 'which', 'construct', 'a', 'decoherencefree', 'subspace', 'we', 'design', 'building', 'blocks', 'for', 'two', 'noncommutable', 'singlelogicqubit', 'gates', 'and', 'a', 'logic', 'controlled', 'phase', 'gate', 'based', 'on', 'which', 'a', 'universal', 'and', 'scalable', 'quantum', 'information', 'processing', 'robust', 'to', 'dephasing', 'is', 'available', 'in', 'a', 'deterministic', 'way']] | [-0.17739045662404615, 0.21896809194519928, -0.06829068489679241, -0.010021164211668546, -0.010486844974228098, -0.24792250978489278, 0.06533469223782798, 0.4160246467099914, -0.2750287095108364, -0.23148133056356182, 0.03603411176465923, -0.21895992079207413, -0.10492095533283899, 0.22363823232582852, -0.04778942641989281, 0.11312993587572363, 0.023332055764202074, -0.035814387322981145, -0.10842321078069037, -0.2388609700093541, 0.2395325771391486, 0.04780453144236692, 0.30945335474761226, -0.03078060804665843, 0.1744950775858722, 0.07564414871703315, 0.026533452416711217, -0.05787850000388638, -0.10326217028129657, 0.12884530218176637, 0.333085804773919, 0.10434449518901072, 0.2143907881978475, -0.4751512941939733, -0.1662992465433582, 0.058951415899622286, 0.14273509282996005, 0.23741667296537022, -0.06796565764624908, -0.28576715720546303, 0.021635740441329116, -0.17588775706347787, -0.05858846089973621, -0.1678341444275236, -0.003186525458682187, -0.07250013280235514, -0.24172976305944066, 0.00913923260861937, 0.08848222992324, 0.035397327139596396, 0.09171399620620982, -0.016942205473403388, 0.01741571770686232, 0.08517069761977307, -0.13808956289003732, 0.047575006287992945, 0.23894392295823066, -0.07211087901982231, -0.21845229325485946, 0.3039040515505815, 0.0001652705883960935, -0.2732697615836146, 0.08587698808199243, -0.09956210997556866, -0.09810909063590667, 0.047891984646550464, 0.15623346666062746, 0.1073931355642367, -0.16781212231497974, 0.0821938169862238, 0.02798907261760316, 0.24351425369894958, 0.052296177693347955, 0.1859020535433311, 0.2313550556184653, 0.1395016807143258, 0.11798487732163336, 0.1875219524504994, -0.0651396157933234, -0.15326274023096584, -0.2997397672667911, -0.19102871888376113, -0.2456202481753971, 0.1047018811200993, -0.02516903106916749, -0.12840376108814078, 0.42841110257078197, 0.13896255460243578, 0.154347060330778, -0.02893429268092577, 0.347809901484583, 0.04141828535224865, 0.09758784053729305, 0.09786741062409327, 0.16454401244763048, 0.18671459202135948, 0.005831638439499502, -0.2574629206092486, 0.002108694219230851, 0.021705744154397633] |
710.3997 | Reversibility in the group of homeomorphisms of the circle | We identify those elements of the homeomorphism group of the circle that can
be expressed as a composite of two involutions.
| math.DS | we identify those elements of the homeomorphism group of the circle that can be expressed as a composite of two involutions | [['we', 'identify', 'those', 'elements', 'of', 'the', 'homeomorphism', 'group', 'of', 'the', 'circle', 'that', 'can', 'be', 'expressed', 'as', 'a', 'composite', 'of', 'two', 'involutions']] | [-0.23359875611606098, 0.14047326285037257, -0.09425300271028564, 0.04978129507175514, -0.04451075342616865, -0.08230272935526002, 0.03565917714011101, 0.3652025354760034, -0.34655676569257465, -0.29539880498001975, 0.13465923627483703, -0.3070669863373041, -0.1571305560923758, 0.1879484240586559, -0.11855378511938311, -0.039454856887459755, 0.003896377980709076, 0.08135913915577389, -0.14275732857086473, -0.2123885080218315, 0.3740306340512775, -0.11651432948807876, 0.15143353891159808, -0.028116249568050818, 0.04155520917404266, -0.06701919432019904, -0.012444535447728066, 0.06241598139916148, -0.029017489549351877, 0.1304682826712018, 0.26912522808249506, 0.1035071859091875, 0.1607467762771107, -0.37278272885651814, -0.15894676784851722, 0.18475965924915813, 0.20394013396331243, -0.04588527004012749, -0.04225718660191411, -0.26174934208393097, 0.06741429900839216, -0.1688823558035351, -0.1677531792915293, -0.06359326023431051, -0.023992207256101426, 0.07857603978897844, -0.24643905984149092, -0.030791683876443477, 0.06771886277766455, 0.09592818728248988, -0.009563423249693144, -0.09070664693024896, -0.11265101842582226, 0.22881853595996896, 0.04033611892234711, 0.04368254289563213, 0.1808353345175939, -0.04609469962971551, -0.1332256787767013, 0.46133011224723997, -0.09824504756501742, -0.24609322092008024, 0.1463765955219666, -0.14629410287099226, -0.16277876638230823, 0.07633744166897875, 0.1429019659048035, 0.14229327635396094, -0.13639242769706816, 0.05573554212848345, -0.18783078551115023, 0.12860724188032605, 0.07970392415743499, 0.003113238872694118, 0.16807474054041363, 0.0914829612399141, 0.06029413392146429, 0.13539691282147986, 0.015428380242415838, 0.02582485672263872, -0.3792340670313154, -0.22820314135225045, -0.1251696563946704, 0.08583202816191174, -0.11340928525619563, -0.20123417400533244, 0.4442407488822937, 0.06268412502305139, 0.21615741016077145, 0.053630916002605646, 0.1343643055075691, 0.07639128780768563, 0.13402204268745013, -0.01993610332941725, 0.18887068703770638, 0.12491213681087607, -0.1593018907698847, -0.18154911350991046, -0.017318540452314273, 0.2031618624570824] |
710.3998 | Charged Lepton Flavour Violation in Littlest Higgs model with T-parity | The Little Higgs model with T-parity (LHT) belongs to the non-minimal flavour
violating model. This model has new sources of flavour and CP violation both in
quark and leptonic sectors. These new sources of flavour violation originates
by the interaction of Standard Model (SM) fermions with heavy gauge bosons and
heavy (or mirror) fermions. In this work we will present the impact of the new
flavour structure of T-parity models on flavour violations in leptonic sector.
| hep-ph | the little higgs model with tparity lht belongs to the nonminimal flavour violating model this model has new sources of flavour and cp violation both in quark and leptonic sectors these new sources of flavour violation originates by the interaction of standard model sm fermions with heavy gauge bosons and heavy or mirror fermions in this work we will present the impact of the new flavour structure of tparity models on flavour violations in leptonic sector | [['the', 'little', 'higgs', 'model', 'with', 'tparity', 'lht', 'belongs', 'to', 'the', 'nonminimal', 'flavour', 'violating', 'model', 'this', 'model', 'has', 'new', 'sources', 'of', 'flavour', 'and', 'cp', 'violation', 'both', 'in', 'quark', 'and', 'leptonic', 'sectors', 'these', 'new', 'sources', 'of', 'flavour', 'violation', 'originates', 'by', 'the', 'interaction', 'of', 'standard', 'model', 'sm', 'fermions', 'with', 'heavy', 'gauge', 'bosons', 'and', 'heavy', 'or', 'mirror', 'fermions', 'in', 'this', 'work', 'we', 'will', 'present', 'the', 'impact', 'of', 'the', 'new', 'flavour', 'structure', 'of', 'tparity', 'models', 'on', 'flavour', 'violations', 'in', 'leptonic', 'sector']] | [-0.09567761548954111, 0.32466311610034226, 0.003188640988235803, 0.1806956979685071, -0.14035701955129443, -0.2831639325687368, 0.10536701540695503, 0.2754123662843516, -0.18640926841793484, -0.2853013342246413, -0.04079688927863332, -0.30691708205880497, 0.0055471622403466, -0.004429461584598022, 0.029218504327888552, 0.08227893928261965, 0.016057830536738038, -0.0750413274662079, -0.07491022983786504, -0.22789535293735466, 0.3202586976664239, 0.01045515714213252, 0.20566056853797482, 0.12035625454920687, 0.008633224299716713, -0.04168185812886804, -0.043806486009424064, -0.12137541562122733, -0.035628018410582295, 0.0870134273396903, 0.059531596488341165, 0.07889517013743323, -0.009931994268156, -0.3823131195906746, -0.19046400443001307, 0.23239589777873143, 0.11522567620819532, 0.1255787606626798, -0.12357060290339991, -0.3976025163122502, 0.04023579164947334, -0.2749365136260167, -0.11317397520638463, -0.10089548058366697, -0.11375939475347925, -0.18172894374124313, -0.3467536765912021, 0.0915361818961652, -0.07734362683013866, 0.05775857425760478, 0.09058092453664071, -0.18679416728647133, -0.05530196617627026, -0.03210400109406022, 0.288112116554801, -0.005395611784862061, 0.09196513036486546, -0.27508614633207845, -0.2678295294509122, 0.5101714184213626, -0.11354103042302947, -0.20801378291186043, 0.18964641731183388, -0.1916725647376887, -0.2648974037344344, 0.031795118206278665, 0.2683183476022494, -0.0056532183478243256, -0.21305143795248832, 0.29428619584206517, -0.12449538630531415, 0.14861678348633608, -0.014681634346121237, 0.07853077576912351, 0.29317216408487995, 0.21121944957657865, 0.020213608127577526, 0.03566663476062546, -0.057865182798674426, -0.071565133384674, -0.5091193028309039, -0.13638458876429418, -0.024032944638747722, 0.04455151316391206, -0.08079335601991931, -0.08583796774129089, 0.4942861366281776, 0.11304306042821784, 0.14562846181031905, -0.0005898444858183595, 0.24706269097269365, 0.011551326643185396, 0.09897628924686853, 0.01790321730444894, 0.32746390063364644, 0.13387361354206836, 0.16803640593456007, -0.27555819151625893, 0.012525054687438043, 0.09966309686608024] |
710.3999 | WD0433+270: an old Hyades stream member or an Fe-core white dwarf? | G39-27/289 is a common proper motion pair formed by a white dwarf
(WD0433+270) and a main-sequence star (BD+26 730) that apparently has been
classified as a member of the Hyades open cluster. Previous studies of the
white dwarf component yielded a cooling time of ~4 Gyr. Although it has not
been pointed out before explicitly, this result is 6 times larger than the age
of the Hyades cluster, giving rise to an apparent conflict between the physics
of white dwarfs and cluster main-sequence fitting. We investigate whether this
system belongs to the Hyades cluster and, accordingly, give a plausible
explanation to the nature of the white dwarf member. From kinematic and
chemical composition considerations we believe that the system was a former
member of the Hyades cluster and therefore has an evolutionary link with it.
However, the evidence is not conclusive. With regards to the nature of the
white dwarf component, we find that two core compositions (C/O and Fe) are
compatible with the observed effective temperature and radius. These
compositions yield very different cooling times of ~4 Gyr and ~1 Gyr,
respectively. We distinguish two posssible scenarios. If the pair does not
belong to the Hyades cluster but only to the Hyades stream, this would indicate
that such stream contains rather old objects and definitely not coeval with the
cluster. This has interesting consequences for Galactic dynamics. On the
contrary, if the white dwarf has an Fe core, it will have a cooling time
compatible with the Hyades age. This is a tantalizing result that would have
implications for the thermonuclear explosion of white dwarfs and explosion
theories of degenerate nuclei.
| astro-ph | g3927289 is a common proper motion pair formed by a white dwarf wd0433270 and a mainsequence star bd26 730 that apparently has been classified as a member of the hyades open cluster previous studies of the white dwarf component yielded a cooling time of 4 gyr although it has not been pointed out before explicitly this result is 6 times larger than the age of the hyades cluster giving rise to an apparent conflict between the physics of white dwarfs and cluster mainsequence fitting we investigate whether this system belongs to the hyades cluster and accordingly give a plausible explanation to the nature of the white dwarf member from kinematic and chemical composition considerations we believe that the system was a former member of the hyades cluster and therefore has an evolutionary link with it however the evidence is not conclusive with regards to the nature of the white dwarf component we find that two core compositions co and fe are compatible with the observed effective temperature and radius these compositions yield very different cooling times of 4 gyr and 1 gyr respectively we distinguish two posssible scenarios if the pair does not belong to the hyades cluster but only to the hyades stream this would indicate that such stream contains rather old objects and definitely not coeval with the cluster this has interesting consequences for galactic dynamics on the contrary if the white dwarf has an fe core it will have a cooling time compatible with the hyades age this is a tantalizing result that would have implications for the thermonuclear explosion of white dwarfs and explosion theories of degenerate nuclei | [['g3927289', 'is', 'a', 'common', 'proper', 'motion', 'pair', 'formed', 'by', 'a', 'white', 'dwarf', 'wd0433270', 'and', 'a', 'mainsequence', 'star', 'bd26', '730', 'that', 'apparently', 'has', 'been', 'classified', 'as', 'a', 'member', 'of', 'the', 'hyades', 'open', 'cluster', 'previous', 'studies', 'of', 'the', 'white', 'dwarf', 'component', 'yielded', 'a', 'cooling', 'time', 'of', '4', 'gyr', 'although', 'it', 'has', 'not', 'been', 'pointed', 'out', 'before', 'explicitly', 'this', 'result', 'is', '6', 'times', 'larger', 'than', 'the', 'age', 'of', 'the', 'hyades', 'cluster', 'giving', 'rise', 'to', 'an', 'apparent', 'conflict', 'between', 'the', 'physics', 'of', 'white', 'dwarfs', 'and', 'cluster', 'mainsequence', 'fitting', 'we', 'investigate', 'whether', 'this', 'system', 'belongs', 'to', 'the', 'hyades', 'cluster', 'and', 'accordingly', 'give', 'a', 'plausible', 'explanation', 'to', 'the', 'nature', 'of', 'the', 'white', 'dwarf', 'member', 'from', 'kinematic', 'and', 'chemical', 'composition', 'considerations', 'we', 'believe', 'that', 'the', 'system', 'was', 'a', 'former', 'member', 'of', 'the', 'hyades', 'cluster', 'and', 'therefore', 'has', 'an', 'evolutionary', 'link', 'with', 'it', 'however', 'the', 'evidence', 'is', 'not', 'conclusive', 'with', 'regards', 'to', 'the', 'nature', 'of', 'the', 'white', 'dwarf', 'component', 'we', 'find', 'that', 'two', 'core', 'compositions', 'co', 'and', 'fe', 'are', 'compatible', 'with', 'the', 'observed', 'effective', 'temperature', 'and', 'radius', 'these', 'compositions', 'yield', 'very', 'different', 'cooling', 'times', 'of', '4', 'gyr', 'and', '1', 'gyr', 'respectively', 'we', 'distinguish', 'two', 'posssible', 'scenarios', 'if', 'the', 'pair', 'does', 'not', 'belong', 'to', 'the', 'hyades', 'cluster', 'but', 'only', 'to', 'the', 'hyades', 'stream', 'this', 'would', 'indicate', 'that', 'such', 'stream', 'contains', 'rather', 'old', 'objects', 'and', 'definitely', 'not', 'coeval', 'with', 'the', 'cluster', 'this', 'has', 'interesting', 'consequences', 'for', 'galactic', 'dynamics', 'on', 'the', 'contrary', 'if', 'the', 'white', 'dwarf', 'has', 'an', 'fe', 'core', 'it', 'will', 'have', 'a', 'cooling', 'time', 'compatible', 'with', 'the', 'hyades', 'age', 'this', 'is', 'a', 'tantalizing', 'result', 'that', 'would', 'have', 'implications', 'for', 'the', 'thermonuclear', 'explosion', 'of', 'white', 'dwarfs', 'and', 'explosion', 'theories', 'of', 'degenerate', 'nuclei']] | [-0.06061432043659604, 0.14058832706472862, -0.12395461171917203, 0.08456294606396653, -0.12166027213722744, -0.10027476249918066, 0.09933831688033899, 0.40346527603213433, -0.18195017261853166, -0.3406332441088226, 0.05340613194189414, -0.2766134758553192, -0.05658968069625121, 0.1926268355325899, -0.08478980318527815, -0.07378902816541355, 0.12864802944370443, 0.04299200289835291, -0.05763372097604184, -0.32318576956081585, 0.32367863566787153, 0.03636523537613728, 0.11745549293183204, -0.042881255065677346, 0.04676188621281956, -0.11301724322321308, -0.025882265552947366, -0.03348024852090964, -0.1437266914551502, -0.006286085961403808, 0.2041441268209989, 0.13104353244588882, 0.23301024965217543, -0.3351227935817507, -0.23826915438263246, 0.0890610965149891, 0.20229734038606423, 0.047523660430494975, -0.10739910371765425, -0.25084723929736624, 0.1418793713277275, -0.2068043011255752, -0.16990343550634052, 0.06934799148908091, 0.10573672046195026, -0.00739431212078435, -0.21290191187419824, 0.11266916338041752, 0.11377348805501782, 0.057894586826916096, -0.13114568169435692, -0.16550923224228123, -0.00985908357736965, 0.10729409093080365, 0.026240631757752486, 0.07119298272968821, 0.1140279093619298, -0.08073705234381594, -0.052331993537653165, 0.4045973083726562, -0.04916604944204058, -0.0211093802414662, 0.287371176147523, -0.14560788392360943, -0.15635499887651316, 0.09032887697426809, 0.07473870061084098, 0.08668416463080104, -0.20189080144045873, 0.022678918451398473, -0.042638868612185535, 0.20389302641938062, 0.04202270232382472, 0.021584736786920716, 0.3269303801503998, 0.1604675653813131, 0.059455467313872995, 0.044113691242549706, -0.18188728777933175, -0.08207034116990312, -0.21748159396186195, -0.14158829000123122, -0.1103861180679545, 0.09082392761505347, -0.0669411835759766, -0.1749928407853952, 0.3250810963032698, 0.12055405544131106, 0.210428425150544, -0.00966603689033676, 0.23616972329370953, 0.08477542927031646, 0.1258804679468826, 0.11715095312619168, 0.2690111764430724, 0.21197655382134986, 0.06565040186633943, -0.22350891591049732, 0.10610436032940117, -0.00919859984855133] |
710.4 | Exact Solutions of Diffusion-Convection Equations | In the presented paper known (up to the beginning of 2008) Lie- and non-Lie
exact solutions of different $(1+1)$-dimensional diffusion-convection equations
of form $f(x)u_t=(g(x)A(u)u_x)_x+h(x)B(u)u_x$ are collected.
| math-ph math.MP | in the presented paper known up to the beginning of 2008 lie and nonlie exact solutions of different 11dimensional diffusionconvection equations of form fxu_tgxauu_x_xhxbuu_x are collected | [['in', 'the', 'presented', 'paper', 'known', 'up', 'to', 'the', 'beginning', 'of', '2008', 'lie', 'and', 'nonlie', 'exact', 'solutions', 'of', 'different', '11dimensional', 'diffusionconvection', 'equations', 'of', 'form', 'fxu_tgxauu_x_xhxbuu_x', 'are', 'collected']] | [-0.1464884400439377, 0.04226459928143483, -0.03250127486311472, 0.01574489212809847, -0.12189253118748848, -0.11199879689285389, -0.06228473393443542, 0.2530453456644094, -0.21268242619072014, -0.3472910365806176, 0.12453688617992717, -0.29131787241651463, -0.14782422322493333, 0.19028515529890472, -0.026544339023530483, 0.07973903886830577, 0.058255568836242534, 0.03564886347605632, -0.11143061343150643, -0.3048047460615635, 0.3296342732814642, 0.005130516006969488, 0.23744202534166667, -0.06355826370418072, 0.1758768563517011, -0.08126160652878192, -0.08738189007943639, -0.023851006399266995, -0.19039364273731524, 0.11037014458829966, 0.32396591286389875, 0.061960360751702234, 0.14171284394195446, -0.450165380938695, -0.11201986323039119, 0.04397817178575609, 0.1788874741894408, 0.09623895298976165, -0.015005333384928795, -0.31062264281969804, 0.06563215165470655, -0.20185379046373642, -0.19557015024698698, -0.0012240278033109812, 0.06599564604962674, 0.029495382251647804, -0.19802061661791343, 0.13304247230721208, 0.03378201093381414, 0.023041923673680194, -0.13965708459727466, -0.13012880344803518, -0.05343980822139061, 0.08102885705347244, 0.028252726662545823, -0.03057099187460083, 0.007359484712091776, -0.09988466625173505, -0.1284271040214942, 0.36454317829786587, -0.00019063728933150953, -0.1499295779145681, 0.21835274322746465, -0.1176380320595434, -0.13049635317964622, 0.14834691276057407, 0.21217344710245156, 0.17304408127585283, -0.2513449190972516, 0.1636480042115391, -0.05765272189791386, 0.02718854765407741, 0.13123395091567475, -0.06056066398293926, 0.0779715220694645, 0.09408916167628306, -0.053944360178250536, 0.1253676203867564, 0.05439044961419243, -0.15275545450500572, -0.37118759808632046, -0.10627694783929306, -0.08025561953679873, 0.09637997514353348, -0.05051885378634324, -0.1505316044920339, 0.40929764583527756, 0.13937839575541708, 0.14091737389277953, 0.06317380606196821, 0.11484651131412157, 0.16696489566507247, -0.000526873108286124, 0.11509492749778125, 0.2199874887099633, 0.17587431699324113, 0.14330775351621783, -0.16937962930219677, -0.09035528531799522, 0.13359690984137929] |
710.4001 | Fluctuation induces evolutionary branching in a modeled microbial
ecosystem | The impact of environmental fluctuation on species diversity is studied with
a model of the evolutionary ecology of microorganisms. We show that
environmental fluctuation induces evolutionary branching and assures the
consequential coexistence of multiple species. Pairwise invasibility analysis
is applied to illustrate the speciation process. We also discuss how
fluctuation affects species diversity.
| q-bio.PE | the impact of environmental fluctuation on species diversity is studied with a model of the evolutionary ecology of microorganisms we show that environmental fluctuation induces evolutionary branching and assures the consequential coexistence of multiple species pairwise invasibility analysis is applied to illustrate the speciation process we also discuss how fluctuation affects species diversity | [['the', 'impact', 'of', 'environmental', 'fluctuation', 'on', 'species', 'diversity', 'is', 'studied', 'with', 'a', 'model', 'of', 'the', 'evolutionary', 'ecology', 'of', 'microorganisms', 'we', 'show', 'that', 'environmental', 'fluctuation', 'induces', 'evolutionary', 'branching', 'and', 'assures', 'the', 'consequential', 'coexistence', 'of', 'multiple', 'species', 'pairwise', 'invasibility', 'analysis', 'is', 'applied', 'to', 'illustrate', 'the', 'speciation', 'process', 'we', 'also', 'discuss', 'how', 'fluctuation', 'affects', 'species', 'diversity']] | [-0.14193662420850914, 0.19368395269057662, -0.13038079999387264, 0.14527647658641793, -0.0012093738846059114, -0.075649969552134, 0.08500197513977874, 0.3437002723649988, -0.272203442693319, -0.2655510149614991, 0.00871270663052235, -0.2380344912515215, -0.22235603363446468, 0.08860479229248462, -0.06589698413703239, -0.06865832026837007, 0.05623253167800184, -0.029244166324442288, 0.07309536899896865, -0.23798850695339013, 0.30809791196348535, 0.033393218401678894, 0.33444464663570783, 0.0657420055765026, 0.13127540603701798, -0.014858951229812964, -0.09072521895627086, 0.02093896860221647, -0.1768337226049142, 0.0813061460009161, 0.23128375143937344, 0.24262567984713418, 0.2402660645685106, -0.3720139985517511, -0.2851671826551264, 0.17581043272929373, 0.17188283809864857, 0.1470205574735718, -0.04975308628339883, -0.21787129831061047, 0.0013799120469967711, -0.16513549255312615, -0.12694300431758165, -0.05610975041493492, 0.02837629913229425, 0.09442570753272553, -0.2517017562574935, 0.1420036249410774, 0.037573641517533445, 0.1252778596332613, -0.05202803235360474, -0.16923542510067938, -0.12528097306220037, 0.17677626583971223, 0.10193434818636819, -0.10963709325582352, 0.2320730910583768, -0.09965086004362916, -0.10511646350792977, 0.36357094825438735, -0.08693546733274213, -0.1635357305969832, 0.29614248098629825, -0.14769214042901713, -0.2081840146719566, 0.07565349189318576, 0.19505729209983125, 0.021840376709148568, -0.18496843053133422, 0.04676464365087977, 0.0419909287033216, 0.1655679832230199, 0.06374735160256331, 0.013706271681618297, 0.20880050347450207, 0.2621572399336212, 0.07822217942953531, 0.13133268485302632, -0.07394171859805454, -0.19759220923384968, -0.17740474811003912, -0.13755431411049837, -0.07601626472161063, 0.03662302098808072, -0.11749352572265055, -0.12093987038253613, 0.3866312610301769, 0.21995313352584522, 0.16529412586944844, 0.01881227898850756, 0.23794619539392375, 0.04923071207935518, -0.007500769561683794, -0.049108517742803635, 0.18137275543995202, 0.16575547258527773, 0.08326831791233623, -0.3389259077221999, 0.20047213687157295, -0.012791053989445264] |
710.4002 | Chow--Kuenneth decomposition for special varieties | In this paper we investigate Murre's conjecture on the Chow--K\"unneth
decomposition for two classes of examples. We look at the universal families of
smooth curves over spaces which dominate the moduli space $\cM_g$, in genus at
most 8 and show existence of a Chow--K\"unneth decomposition. The second class
of examples include the representation varieties of a finitely generated group
with one relation. This is done in the setting of equivariant cohomology and
equivariant Chow groups to get equivariant Chow--K\"unneth decompositions.
| math.AG math.AC | in this paper we investigate murres conjecture on the chowkunneth decomposition for two classes of examples we look at the universal families of smooth curves over spaces which dominate the moduli space cm_g in genus at most 8 and show existence of a chowkunneth decomposition the second class of examples include the representation varieties of a finitely generated group with one relation this is done in the setting of equivariant cohomology and equivariant chow groups to get equivariant chowkunneth decompositions | [['in', 'this', 'paper', 'we', 'investigate', 'murres', 'conjecture', 'on', 'the', 'chowkunneth', 'decomposition', 'for', 'two', 'classes', 'of', 'examples', 'we', 'look', 'at', 'the', 'universal', 'families', 'of', 'smooth', 'curves', 'over', 'spaces', 'which', 'dominate', 'the', 'moduli', 'space', 'cm_g', 'in', 'genus', 'at', 'most', '8', 'and', 'show', 'existence', 'of', 'a', 'chowkunneth', 'decomposition', 'the', 'second', 'class', 'of', 'examples', 'include', 'the', 'representation', 'varieties', 'of', 'a', 'finitely', 'generated', 'group', 'with', 'one', 'relation', 'this', 'is', 'done', 'in', 'the', 'setting', 'of', 'equivariant', 'cohomology', 'and', 'equivariant', 'chow', 'groups', 'to', 'get', 'equivariant', 'chowkunneth', 'decompositions']] | [-0.1863718237138436, 0.03731279127606297, -0.13957750935201782, 0.08961295055172441, -0.06256931390660474, -0.09202230905618848, -0.028193172325285835, 0.32537847687785004, -0.3475755859310798, -0.22350217903598765, 0.11921594986733332, -0.21469561294416745, -0.17043950243652622, 0.24512198491941525, -0.16350167579477345, -0.043381373767882495, 0.04092814925397876, 0.05462330862691131, -0.10834649385577894, -0.3408476872656265, 0.4831724087648754, -0.11091027066960366, 0.24586157960510707, 0.03147053468642356, 0.11381544448623929, -0.012058681113604173, -0.06439770455766894, -0.04974677502744996, -0.15252050144975132, 0.18147691299172142, 0.3342382500561166, 0.03795874108784372, 0.20766751795912844, -0.3352383085868404, -0.14167566537633067, 0.2419789908453822, 0.09542771748302481, 0.04753192052498601, 0.0018793007968983884, -0.22092806968743664, 0.12442792101492044, -0.17804116196930408, -0.165454439454877, -0.11475680617592003, 0.04774703462667103, -0.009184705529692052, -0.18823337775973392, -0.02890611063877616, 0.09324632851477666, 0.14240438047843643, -0.10182067450383513, -0.1063691034582974, -0.05151863173947115, 0.07499356794206402, 0.010390183567128416, 0.016041696059835863, 0.07081482549421961, -0.11236288929593903, -0.13184193024246754, 0.36754063865806486, -0.05822336085470794, -0.19981450509704365, 0.13368040713469817, -0.168334906885424, -0.24619840288275405, 0.13142740088691818, 0.1249998124239707, 0.19966178467567963, 0.03975084579632252, 0.15803442094799225, -0.13808920009273895, 0.05807652043862433, 0.13048045687330298, -0.0025539068104345588, 0.10887916500479737, 0.0801095991937703, 0.062416525746259506, 0.15744148400063993, 0.004008310307642516, -0.027628796242171592, -0.36941098388803156, -0.22236556540938873, -0.07996704978750477, 0.12606023665800503, -0.11612665032506685, -0.1754648319321767, 0.46665576873111386, 0.047053110051923724, 0.1976936294378925, 0.17699177226175472, 0.22387460597991188, 0.006742463423575782, 0.017494717742540414, 0.0527819220589686, 0.14163403981659986, 0.22456353401788806, -0.04136922122185602, -0.09774355586254203, -0.05266488194421429, 0.2650468766429945] |
710.4003 | YREC: The Yale Rotating Stellar Evolution Code | The stellar evolution code YREC is outlined with emphasis on its applications
to helio- and asteroseismology. The procedure for calculating calibrated solar
and stellar models is described. Other features of the code such as a non-local
treatment of convective core overshoot, and the implementation of a
parametrized description of turbulence in stellar models, are considered in
some detail. The code has been extensively used for other astrophysical
applications, some of which are briefly mentioned at the end of the paper.
| astro-ph | the stellar evolution code yrec is outlined with emphasis on its applications to helio and asteroseismology the procedure for calculating calibrated solar and stellar models is described other features of the code such as a nonlocal treatment of convective core overshoot and the implementation of a parametrized description of turbulence in stellar models are considered in some detail the code has been extensively used for other astrophysical applications some of which are briefly mentioned at the end of the paper | [['the', 'stellar', 'evolution', 'code', 'yrec', 'is', 'outlined', 'with', 'emphasis', 'on', 'its', 'applications', 'to', 'helio', 'and', 'asteroseismology', 'the', 'procedure', 'for', 'calculating', 'calibrated', 'solar', 'and', 'stellar', 'models', 'is', 'described', 'other', 'features', 'of', 'the', 'code', 'such', 'as', 'a', 'nonlocal', 'treatment', 'of', 'convective', 'core', 'overshoot', 'and', 'the', 'implementation', 'of', 'a', 'parametrized', 'description', 'of', 'turbulence', 'in', 'stellar', 'models', 'are', 'considered', 'in', 'some', 'detail', 'the', 'code', 'has', 'been', 'extensively', 'used', 'for', 'other', 'astrophysical', 'applications', 'some', 'of', 'which', 'are', 'briefly', 'mentioned', 'at', 'the', 'end', 'of', 'the', 'paper']] | [-0.039177992340410125, 0.11430277060717345, -0.041648672852898014, 0.14149125510302837, -0.06691194996237755, -0.11288334972341545, -0.046304079914989416, 0.37471559215337036, -0.21272408406366594, -0.3411462270189077, 0.1459011985018151, -0.22607862642034887, -0.10473106340505182, 0.28824767988116945, -0.04695560609106906, 0.10268039039729046, 0.08872006679885089, 0.018549232225632296, -0.06565645411028527, -0.2372815225739032, 0.33275714256451466, 0.10817676790757105, 0.1499079965899, 0.039349814265733585, 0.06155045311897993, -0.11124361355905421, -0.13466461813659408, -0.004853513173293323, -0.1669342186418362, 0.0804732569726184, 0.24794229799708772, 0.18502893205441068, 0.23511683217948304, -0.40965013653039933, -0.28584185368381443, 0.013799350592307746, 0.14485685336985626, 0.11135351866687415, -0.0693896910190233, -0.21482584384502842, 0.05826305155060254, -0.2159223574803036, -0.13640959122567436, -0.01324463005294092, 0.022666593757458033, 0.0642788942437619, -0.21505281295976603, -0.0074720025761052964, 0.055202096281573174, 0.11803790874546394, -0.09354626144631766, -0.1463111268123612, -0.06578297098749317, 0.13595031128497795, 0.03691314001916908, 0.021709677198668943, 0.11403289307490923, -0.1430861331813503, -0.04291481032596493, 0.4482372566126287, -0.04663286212598905, -0.16393186139757746, 0.20272511314833536, -0.09081606036634185, -0.1633095741388388, 0.011303740036964882, 0.18147833000402896, 0.12325489451177418, -0.1720298177737277, 0.0925493707743044, 0.013024946535006165, 0.08562625520862639, 0.03252798124449328, 0.036710262903943656, 0.24439471825025977, 0.19685924223740586, -0.05536244527902454, 0.08530522724759067, -0.12821089407370892, -0.11024393010884523, -0.3009307859931141, -0.11781582494731993, -0.1260324836242944, -0.007925349727156573, -0.053481604222361055, -0.19374723588116466, 0.43921873248182236, 0.1793826449313201, 0.1376180069288239, -0.011101120537205134, 0.313664935156703, 0.11322291879769182, 0.05759146910859272, 0.08841861059190706, 0.2509921163706167, 0.19943791862460786, 0.09708232490229421, -0.23746623719052878, 0.09954103016498266, 0.06312057485920378] |
710.4004 | The N-Vortex Problem on a Symmetric Ellipsoid: A Perturbation Approach | We consider the N-vortex problem on a ellipsoid of revolution. Applying
standard techniques of classical perturbation theory we construct a sequence of
conformal transformations from the ellipsoid into the complex plane. Using
these transformations the equations of motion for the N-vortex problem on the
ellipsoid are written as a formal series on the eccentricity of the ellipsoid's
generating ellipse. First order equations are obtained explicitly. We show
numerically that the truncated first order system for the three-vortices system
on the symmetric ellipsoid is non-integrable.
| math.DS | we consider the nvortex problem on a ellipsoid of revolution applying standard techniques of classical perturbation theory we construct a sequence of conformal transformations from the ellipsoid into the complex plane using these transformations the equations of motion for the nvortex problem on the ellipsoid are written as a formal series on the eccentricity of the ellipsoids generating ellipse first order equations are obtained explicitly we show numerically that the truncated first order system for the threevortices system on the symmetric ellipsoid is nonintegrable | [['we', 'consider', 'the', 'nvortex', 'problem', 'on', 'a', 'ellipsoid', 'of', 'revolution', 'applying', 'standard', 'techniques', 'of', 'classical', 'perturbation', 'theory', 'we', 'construct', 'a', 'sequence', 'of', 'conformal', 'transformations', 'from', 'the', 'ellipsoid', 'into', 'the', 'complex', 'plane', 'using', 'these', 'transformations', 'the', 'equations', 'of', 'motion', 'for', 'the', 'nvortex', 'problem', 'on', 'the', 'ellipsoid', 'are', 'written', 'as', 'a', 'formal', 'series', 'on', 'the', 'eccentricity', 'of', 'the', 'ellipsoids', 'generating', 'ellipse', 'first', 'order', 'equations', 'are', 'obtained', 'explicitly', 'we', 'show', 'numerically', 'that', 'the', 'truncated', 'first', 'order', 'system', 'for', 'the', 'threevortices', 'system', 'on', 'the', 'symmetric', 'ellipsoid', 'is', 'nonintegrable']] | [-0.16216003387066794, 0.01679045319871371, -0.10079668442079101, 0.04688394629166473, -0.060791792942727185, -0.035380304504904043, -0.05450916547799505, 0.3363987907587764, -0.2874549116310944, -0.24736875134060182, 0.1508641451364383, -0.28092469885406723, -0.17260473451565905, 0.2199084164956248, -0.04882525173520826, 0.12290567473413042, 0.05508878233236631, 0.0382607052192451, -0.12927351736867554, -0.25188022301285473, 0.3726564696092293, -0.09570553228932333, 0.18178475475365138, -0.07059006823832731, 0.15434024596295084, 0.05637171874748521, 0.042059545102248706, 0.04666294279250215, -0.16494862615533737, 0.14607860709692025, 0.15108068239964903, 0.11505506455292364, 0.21182603902935263, -0.4176604696829994, -0.1602072040045477, 0.05010288494852293, 0.1504452461713409, 0.12884239714413162, -0.03288439250865345, -0.2932727770004646, 0.06411308280461614, -0.14672013263201275, -0.1967473708384906, -0.1007903929440731, 0.016792812508093304, 0.017667272083281754, -0.221723686842001, 0.08543426241635917, 0.1085571649748024, 0.05897860021431403, -0.09467748623251555, -0.0857845089448818, 0.010054332937719861, 0.10279550502660224, 0.01995273491687489, 0.035472081244799746, 0.1073822653179158, -0.06150748126814703, -0.08918471429118303, 0.4412239079689046, -0.06715908428199634, -0.30497399782649726, 0.07945933145841202, -0.13953675180449185, -0.12164289275947285, 0.08313632425459394, 0.21285359559199177, 0.16851549030068408, -0.1106423847938338, 0.13277635810874314, -0.052416117025920785, 0.13644480945806142, 0.08821867876517844, -0.1232925507531737, 0.22732935168118362, 0.09267783867677741, 0.067616841001913, 0.18241542097495264, -0.03834794481924499, -0.1608009769368064, -0.3315140372029988, -0.14348686484238468, -0.19323333085329464, 0.04262103600405067, -0.132947141785702, -0.1934057356430644, 0.40438102089227684, 0.08800012761771157, 0.1802383679447763, 0.08253914900460696, 0.27966680970177593, 0.17742887726025544, 0.007502732158874173, 0.03527490182566535, 0.23589596730875725, 0.12969520336847348, 0.04638093138108008, -0.19631609967096247, -0.01753269523068006, 0.15705228467887067] |
710.4005 | Dynamo quenching due to shear flow | We provide a theory of dynamo ($\alpha$ effect) and momentum transport in
three-dimensional magnetohydrodynamics. For the first time, we show that the
$\alpha$ effect is severely reduced by the shear even in the absence of
magnetic field. The $\alpha$ effect is further suppressed by magnetic fields
well below equipartition (with the large-scale flow) with different scalings
depending on the relative strength of shear and magnetic field. The turbulent
viscosity is also found to be significantly reduced by shear and magnetic
fields, with positive value. These results suggest a crucial effect of shear
and magnetic field on dynamo quenching and momentum transport reduction, with
important implications for laboratory and astrophysical plasmas, in particular
for the dynamics of the Sun.
| physics.flu-dyn astro-ph | we provide a theory of dynamo alpha effect and momentum transport in threedimensional magnetohydrodynamics for the first time we show that the alpha effect is severely reduced by the shear even in the absence of magnetic field the alpha effect is further suppressed by magnetic fields well below equipartition with the largescale flow with different scalings depending on the relative strength of shear and magnetic field the turbulent viscosity is also found to be significantly reduced by shear and magnetic fields with positive value these results suggest a crucial effect of shear and magnetic field on dynamo quenching and momentum transport reduction with important implications for laboratory and astrophysical plasmas in particular for the dynamics of the sun | [['we', 'provide', 'a', 'theory', 'of', 'dynamo', 'alpha', 'effect', 'and', 'momentum', 'transport', 'in', 'threedimensional', 'magnetohydrodynamics', 'for', 'the', 'first', 'time', 'we', 'show', 'that', 'the', 'alpha', 'effect', 'is', 'severely', 'reduced', 'by', 'the', 'shear', 'even', 'in', 'the', 'absence', 'of', 'magnetic', 'field', 'the', 'alpha', 'effect', 'is', 'further', 'suppressed', 'by', 'magnetic', 'fields', 'well', 'below', 'equipartition', 'with', 'the', 'largescale', 'flow', 'with', 'different', 'scalings', 'depending', 'on', 'the', 'relative', 'strength', 'of', 'shear', 'and', 'magnetic', 'field', 'the', 'turbulent', 'viscosity', 'is', 'also', 'found', 'to', 'be', 'significantly', 'reduced', 'by', 'shear', 'and', 'magnetic', 'fields', 'with', 'positive', 'value', 'these', 'results', 'suggest', 'a', 'crucial', 'effect', 'of', 'shear', 'and', 'magnetic', 'field', 'on', 'dynamo', 'quenching', 'and', 'momentum', 'transport', 'reduction', 'with', 'important', 'implications', 'for', 'laboratory', 'and', 'astrophysical', 'plasmas', 'in', 'particular', 'for', 'the', 'dynamics', 'of', 'the', 'sun']] | [-0.1552198455447994, 0.24570866051856113, -0.029596894560801064, 0.04927146517557202, -0.04052761029767788, -0.0350169448450334, -0.025242585749010223, 0.31807275645245436, -0.27709247467060716, -0.3500195907239439, 0.06260812426108267, -0.17873776183311701, -0.11213516711920374, 0.2505078717782083, 0.04947522320484711, 0.010980040119108508, 0.00887270622602585, 0.02514997828516012, -0.02284425810389852, -0.19995037044430056, 0.3543438280230167, 0.11016743922195697, 0.28939890798370715, 0.07436967599284598, 0.04745236417215507, -0.0430414074562269, -0.009496521309286483, 0.13780986361395, -0.1743573977603203, 0.004152680980041623, 0.152380589304997, -0.026969247584436404, 0.22638308220558753, -0.44897189003936316, -0.2525756961460841, 0.032966481725945754, 0.13854485891080634, 0.10225841008379298, -0.07789754807175595, -0.23510304652154446, 0.07083601032736932, -0.1225989994541663, -0.10640960269986446, -0.0849152800461309, 0.045513727480222047, 0.03954744050910665, -0.32320517422759637, 0.16971734146191936, 0.05881881111794027, 0.11384245916664348, -0.13832735902456156, -0.10349365360285076, -0.06382702993647338, 0.08706065200237652, 0.15195670689878418, 0.07651552140724577, 0.2032443840703848, -0.22093392934618614, -0.07498628488284047, 0.3866367176238258, -0.08610920347589052, -0.18759339004439318, 0.18146368020640338, -0.2518379216405989, -0.10424392162901112, 0.15477829860026113, 0.1735058952186067, 0.09691385958754158, -0.0571563585456145, 0.06290660849555348, -0.010539115440116216, 0.12109703471158016, -0.0011534542792429358, -0.0018975101805970831, 0.22953496593192724, 0.16086663444175275, 0.06231871405142849, 0.10659590209696158, -0.152041791961923, -0.022799579020179178, -0.2745729504958174, -0.15165775498746248, -0.12559097909400144, 0.08745993628616493, -0.12053374000514218, -0.14162665294972643, 0.34068022458419456, 0.20276096994373, 0.1575999440767376, -0.02050769193318941, 0.2866539377008833, 0.14367137724233758, 0.04308179115592423, 0.12333548439556133, 0.3390999594861168, 0.22023813932210648, 0.1381957957410585, -0.31187512040911713, 0.041361821519400356, 0.04052048846408409] |
710.4006 | Critical Temperature for Bose-Einstein condensation in quartic
potentials | The quartic confining potential has emerged as a key ingredient to obtain
fast rotating vortices in BEC as well as observation of quantum phase
transitions in optical lattices. We calculate the critical temperature $T_c$ of
bosons at which normal to BEC transition occurs for the quartic confining
potential. Further more, we evaluate the effect of finite particle number on
$T_c$ and find that $\Delta T_c/T_c$ is larger in quartic potential as compared
to quadratic potential for number of particles $ < 10^5$. Interestingly, the
situation is reversed if the number of particles is $\gtrsim10^5$.
| physics.atom-ph cond-mat.other cond-mat.stat-mech | the quartic confining potential has emerged as a key ingredient to obtain fast rotating vortices in bec as well as observation of quantum phase transitions in optical lattices we calculate the critical temperature t_c of bosons at which normal to bec transition occurs for the quartic confining potential further more we evaluate the effect of finite particle number on t_c and find that delta t_ct_c is larger in quartic potential as compared to quadratic potential for number of particles 105 interestingly the situation is reversed if the number of particles is gtrsim105 | [['the', 'quartic', 'confining', 'potential', 'has', 'emerged', 'as', 'a', 'key', 'ingredient', 'to', 'obtain', 'fast', 'rotating', 'vortices', 'in', 'bec', 'as', 'well', 'as', 'observation', 'of', 'quantum', 'phase', 'transitions', 'in', 'optical', 'lattices', 'we', 'calculate', 'the', 'critical', 'temperature', 't_c', 'of', 'bosons', 'at', 'which', 'normal', 'to', 'bec', 'transition', 'occurs', 'for', 'the', 'quartic', 'confining', 'potential', 'further', 'more', 'we', 'evaluate', 'the', 'effect', 'of', 'finite', 'particle', 'number', 'on', 't_c', 'and', 'find', 'that', 'delta', 't_ct_c', 'is', 'larger', 'in', 'quartic', 'potential', 'as', 'compared', 'to', 'quadratic', 'potential', 'for', 'number', 'of', 'particles', '105', 'interestingly', 'the', 'situation', 'is', 'reversed', 'if', 'the', 'number', 'of', 'particles', 'is', 'gtrsim105']] | [-0.144673018456872, 0.24919109857317223, -0.03210864684281304, 0.04399560935385323, -0.03773441073565703, -0.19290947414549958, 0.05647223342321408, 0.31376429064118344, -0.20503040295823113, -0.2761303934410376, 0.01119750918967285, -0.3014496894674781, -0.12015776174223941, 0.19875231415220618, 0.0331053510282958, 0.04518894439198724, -0.055338567244293896, 0.08420332446926097, -0.06067207006929928, -0.2649448770098388, 0.28499763119717775, 0.015262963071860291, 0.23209844791816306, 0.13011607698812758, 0.03991080006412433, 0.0066054506966358294, 0.1030688339682377, -0.01594435782475478, -0.13474332309701625, -0.031322187369527375, 0.20581376913722363, -0.018773565556013793, 0.21429640273108025, -0.3901930402195, -0.21948071464936694, 0.16769627541172036, 0.2074758465928228, 0.16129581232772858, -0.0884879516210197, -0.23281452948551462, 0.03957159520739325, -0.14911048132521304, -0.21175122197272014, -0.0981852893575864, 0.07972814975453177, 0.007250228204572088, -0.27239600352376053, 0.11048914335728825, 0.025037268673970728, 0.05668817335010871, -0.01876561747074289, -0.10483923726512687, -0.031628167423743594, 0.043999417927926, 0.06617536046036074, 0.10161571326139181, 0.14218939318538026, -0.18060517527405667, -0.05700829350794463, 0.42113152562397654, -0.12999998672318686, -0.10713360460637056, 0.16918626362862793, -0.15726851697241806, -0.05476826402034773, 0.14392364649709477, 0.18522923618919498, 0.07436708494028806, -0.08326232329051456, 0.08726786086070047, 0.005079374942199692, 0.1324616980475738, 0.07711355202406159, 0.04905161855276674, 0.2413321320048493, 0.18513849583636646, 0.06652513159560444, 0.18547011798490648, -0.10397680933617623, -0.1334824509534013, -0.2936683607328197, -0.16897116497515843, -0.22355659781707168, 0.03917804539441536, -0.1016384955878691, -0.18461998440730182, 0.343375512054595, 0.13093499223823132, 0.21628157695016378, 0.016006134552931737, 0.2348755813942736, 0.12973592083637966, 0.08975865206498977, 0.013979504464457379, 0.2810877570781209, 0.16384407371768486, 0.09172157055708459, -0.2578811776601588, -0.038223892870440104, 0.06946063761437393] |
710.4007 | Dynamics of horizontal-like maps in higher dimension | We study the regularity of the Green currents and of the equilibrium measure
associated to a horizontal-like map in C^k, under a natural assumption on the
dynamical degrees. We estimate the speed of convergence towards the Green
currents, the decay of correlations for the equilibrium measure and the
Lyapounov exponents. We show in particular that the equilibrium measure is
hyperbolic. We also show that the Green currents are the unique invariant
vertical and horizontal positive closed currents. The results apply, in
particular, to Henon-like maps, to regular polynomial automorphisms of C^k and
to their small pertubations.
| math.DS math.CV | we study the regularity of the green currents and of the equilibrium measure associated to a horizontallike map in ck under a natural assumption on the dynamical degrees we estimate the speed of convergence towards the green currents the decay of correlations for the equilibrium measure and the lyapounov exponents we show in particular that the equilibrium measure is hyperbolic we also show that the green currents are the unique invariant vertical and horizontal positive closed currents the results apply in particular to henonlike maps to regular polynomial automorphisms of ck and to their small pertubations | [['we', 'study', 'the', 'regularity', 'of', 'the', 'green', 'currents', 'and', 'of', 'the', 'equilibrium', 'measure', 'associated', 'to', 'a', 'horizontallike', 'map', 'in', 'ck', 'under', 'a', 'natural', 'assumption', 'on', 'the', 'dynamical', 'degrees', 'we', 'estimate', 'the', 'speed', 'of', 'convergence', 'towards', 'the', 'green', 'currents', 'the', 'decay', 'of', 'correlations', 'for', 'the', 'equilibrium', 'measure', 'and', 'the', 'lyapounov', 'exponents', 'we', 'show', 'in', 'particular', 'that', 'the', 'equilibrium', 'measure', 'is', 'hyperbolic', 'we', 'also', 'show', 'that', 'the', 'green', 'currents', 'are', 'the', 'unique', 'invariant', 'vertical', 'and', 'horizontal', 'positive', 'closed', 'currents', 'the', 'results', 'apply', 'in', 'particular', 'to', 'henonlike', 'maps', 'to', 'regular', 'polynomial', 'automorphisms', 'of', 'ck', 'and', 'to', 'their', 'small', 'pertubations']] | [-0.17807311607818854, 0.1032097418498444, -0.09489648957785807, 0.10895445770951674, 0.0035602330548786805, -0.04669375728056031, 0.0339718487554867, 0.3612858899881279, -0.2950105625547861, -0.16393586426581208, 0.12770556208836895, -0.27465652593068385, -0.1484762348914764, 0.1757288072552336, -0.03784990364520605, 0.04332943730252354, 0.010964380817389803, 0.0520738446790921, -0.08486602794575064, -0.17772277203069903, 0.38145142864239845, -0.01090685946768836, 0.2539652523633681, 0.09618482457069484, 0.1179275402014977, -0.07147224094032457, -0.017898034681811146, 0.04989533560399554, -0.1908578540059113, 0.11471678802841588, 0.14856248361940838, 0.0909564321909688, 0.21288086727604663, -0.356594982909921, -0.14979222401682485, 0.16300934916852336, 0.08096860420007847, 0.0630898214435499, -0.033682345017472186, -0.27461968029015943, 0.12194173339950411, -0.08707680209098678, -0.21398704073538904, -0.10566341574058721, 0.055457336426173384, 0.08035145159565697, -0.29397423741848844, 0.057252413904184084, 0.10213565910081869, 0.07485938409441396, -0.08516433153938698, -0.07539080982831747, -0.08788597545537509, 0.16523915808157702, 0.03385410953656231, 0.038948093054473006, 0.15014446334619272, -0.12584863249212502, -0.07336096991049616, 0.31714894573547336, -0.15008072805419367, -0.24607621592126394, 0.2079999712786, -0.2515939609882863, -0.15388885769796998, 0.11719957517558023, 0.16713300167926048, 0.1137381683642927, -0.13718761190477954, 0.10985333037954804, -0.07729707046068812, 0.08571519754630955, 0.08521647299884966, 0.021316697242620745, 0.14952343402332383, 0.05074006712652351, 0.16065572312984028, 0.17034078710222322, -0.05154472570682533, -0.11648500323001491, -0.3055635359530386, -0.19549002830233228, -0.13431534266687536, 0.11548493689563322, -0.08385885014186466, -0.1757611851354963, 0.4373782193190173, 0.14258086274525053, 0.18160517970590215, 0.1261039521153036, 0.25833526739948676, 0.13521804298139423, 0.04816368197850687, 0.10867541151513395, 0.21659980369241613, 0.1634014591917788, 0.05917685318640188, -0.2574255773552546, 0.007994306710009513, 0.07866755726404095] |
710.4008 | Scale-free networks resistant to intentional attacks | We study the detailed mechanism of the failure of scale-free networks under
intentional attacks. Although it is generally accepted that such networks are
very sensitive to targeted attacks, we show that for a particular type of
structure such networks surprisingly remain very robust even under removal of a
large fraction of their nodes, which in some cases can be up to 70%. The degree
distribution $P(k)$ of these structures is such that for small values of the
degree $k$ the distribution is constant with $k$, up to a critical value $k_c$,
and thereafter it decays with $k$ with the usual power law. We describe in
detail a model for such a scale-free network with this modified degree
distribution, and we show both analytically and via simulations, that this
model can adequately describe all the features and breakdown characteristics of
these attacks. We have found several experimental networks with such features,
such as for example the IMDB actors collaboration network or the citations
network, whose resilience to attacks can be accurately described by our model.
| physics.soc-ph | we study the detailed mechanism of the failure of scalefree networks under intentional attacks although it is generally accepted that such networks are very sensitive to targeted attacks we show that for a particular type of structure such networks surprisingly remain very robust even under removal of a large fraction of their nodes which in some cases can be up to 70 the degree distribution pk of these structures is such that for small values of the degree k the distribution is constant with k up to a critical value k_c and thereafter it decays with k with the usual power law we describe in detail a model for such a scalefree network with this modified degree distribution and we show both analytically and via simulations that this model can adequately describe all the features and breakdown characteristics of these attacks we have found several experimental networks with such features such as for example the imdb actors collaboration network or the citations network whose resilience to attacks can be accurately described by our model | [['we', 'study', 'the', 'detailed', 'mechanism', 'of', 'the', 'failure', 'of', 'scalefree', 'networks', 'under', 'intentional', 'attacks', 'although', 'it', 'is', 'generally', 'accepted', 'that', 'such', 'networks', 'are', 'very', 'sensitive', 'to', 'targeted', 'attacks', 'we', 'show', 'that', 'for', 'a', 'particular', 'type', 'of', 'structure', 'such', 'networks', 'surprisingly', 'remain', 'very', 'robust', 'even', 'under', 'removal', 'of', 'a', 'large', 'fraction', 'of', 'their', 'nodes', 'which', 'in', 'some', 'cases', 'can', 'be', 'up', 'to', '70', 'the', 'degree', 'distribution', 'pk', 'of', 'these', 'structures', 'is', 'such', 'that', 'for', 'small', 'values', 'of', 'the', 'degree', 'k', 'the', 'distribution', 'is', 'constant', 'with', 'k', 'up', 'to', 'a', 'critical', 'value', 'k_c', 'and', 'thereafter', 'it', 'decays', 'with', 'k', 'with', 'the', 'usual', 'power', 'law', 'we', 'describe', 'in', 'detail', 'a', 'model', 'for', 'such', 'a', 'scalefree', 'network', 'with', 'this', 'modified', 'degree', 'distribution', 'and', 'we', 'show', 'both', 'analytically', 'and', 'via', 'simulations', 'that', 'this', 'model', 'can', 'adequately', 'describe', 'all', 'the', 'features', 'and', 'breakdown', 'characteristics', 'of', 'these', 'attacks', 'we', 'have', 'found', 'several', 'experimental', 'networks', 'with', 'such', 'features', 'such', 'as', 'for', 'example', 'the', 'imdb', 'actors', 'collaboration', 'network', 'or', 'the', 'citations', 'network', 'whose', 'resilience', 'to', 'attacks', 'can', 'be', 'accurately', 'described', 'by', 'our', 'model']] | [-0.12718691070424928, 0.10014892851628748, -0.0625350711513953, 0.06548865723768892, -0.02990109134925765, -0.15780427721436083, 0.057230339765591526, 0.38581684330242805, -0.27113838965640585, -0.32336746887892653, 0.08430464006826581, -0.289394135706678, -0.22842019847353343, 0.1719278216458343, -0.02446012735238363, 0.05815893421479803, 0.036167031571525954, 0.0545359299405767, 0.009187343272102204, -0.2653710700708024, 0.33238351247112813, 0.06839697930597882, 0.2744780548221978, 0.0634944171828068, 0.039369515373489296, -0.05340960033468089, 0.033688349114067255, 0.08554412599060851, -0.10062199882342046, 0.0778063848793999, 0.2473774263876137, 0.14066223329168626, 0.25055202445812824, -0.39451731726441575, -0.2483263284546034, 0.1467843091158175, 0.09844765649101865, 0.12710980555623363, -0.005535188984746735, -0.2680881308049135, 0.1790788065262096, -0.20366787227984964, -0.12463467184657595, -0.13433876674857803, 0.027209227634379746, 0.07725067722782407, -0.2660176572593962, 0.043966031531621326, 0.061317336493996025, 0.04702582019755895, 0.008343282118225577, -0.1055103817462236, -0.0175758534078968, 0.13422186483010842, 0.04619058076266434, -0.0022535609795936735, 0.12748690170969215, -0.1649456640100642, -0.09247083168466115, 0.3828816249024594, -0.04664787049030607, -0.17416472472892752, 0.1803083634689777, -0.10244162795776181, -0.1518187767855459, 0.0963904001300448, 0.18777769704980926, 0.11040501966330674, -0.12994646116182604, 0.005962146468898455, -0.04812769905460634, 0.1651288723016436, 0.0334924545685022, 0.03442955822897968, 0.16981141510066286, 0.16783106308591006, 0.05394020738767931, 0.1187323105331489, -0.09240917605883174, -0.0751407522488728, -0.27440613058085245, -0.09842796136368194, -0.17079479550345983, 0.08300295176691022, -0.1095751119913378, -0.14718194369523754, 0.42465852400630544, 0.15205328659978748, 0.2456684031298962, 0.09402465069968917, 0.2782250354789069, 0.08230454501115192, 0.10107982996048341, 0.12153236413155094, 0.21185838389722228, 0.06377995550504019, 0.07788468996563327, -0.14736623949125066, 0.14530676529721367, -0.048090993351806166] |
710.4009 | The congruence kernel of an arithmetic lattice in a rank one algebraic
group over a local field | Let k be a global field and let k_v be the completion of k with respect to v,
a non-archimedean place of k. Let \mathbf{G} be a connected, simply-connected
algebraic group over k, which is absolutely almost simple of k_v-rank 1. Let
G=\mathbf{G}(k_v). Let \Gamma be an arithmetic lattice in G and let C=C(\Gamma)
be its congruence kernel. Lubotzky has shown that C is infinite, confirming an
earlier conjecture of Serre. Here we provide complete solution of the
congruence subgroup problem for \Gamm$ by determining the structure of C. It is
shown that C is a free profinite product, one of whose factors is
\hat{F}_{\omega}, the free profinite group on countably many generators. The
most surprising conclusion from our results is that the structure of C depends
only on the characteristic of k. The structure of C is already known for a
number of special cases. Perhaps the most important of these is the
(non-uniform) example \Gamma=SL_2(\mathcal{O}(S)), where \mathcal{O}(S) is the
ring of S-integers in k, with S=\{v\}, which plays a central role in the theory
of Drinfeld modules. The proof makes use of a decomposition theorem of
Lubotzky, arising from the action of \Gamma on the Bruhat-Tits tree associated
with G.
| math.GR math.NT | let k be a global field and let k_v be the completion of k with respect to v a nonarchimedean place of k let mathbfg be a connected simplyconnected algebraic group over k which is absolutely almost simple of k_vrank 1 let gmathbfgk_v let gamma be an arithmetic lattice in g and let ccgamma be its congruence kernel lubotzky has shown that c is infinite confirming an earlier conjecture of serre here we provide complete solution of the congruence subgroup problem for gamm by determining the structure of c it is shown that c is a free profinite product one of whose factors is hatf_omega the free profinite group on countably many generators the most surprising conclusion from our results is that the structure of c depends only on the characteristic of k the structure of c is already known for a number of special cases perhaps the most important of these is the nonuniform example gammasl_2mathcalos where mathcalos is the ring of sintegers in k with sv which plays a central role in the theory of drinfeld modules the proof makes use of a decomposition theorem of lubotzky arising from the action of gamma on the bruhattits tree associated with g | [['let', 'k', 'be', 'a', 'global', 'field', 'and', 'let', 'k_v', 'be', 'the', 'completion', 'of', 'k', 'with', 'respect', 'to', 'v', 'a', 'nonarchimedean', 'place', 'of', 'k', 'let', 'mathbfg', 'be', 'a', 'connected', 'simplyconnected', 'algebraic', 'group', 'over', 'k', 'which', 'is', 'absolutely', 'almost', 'simple', 'of', 'k_vrank', '1', 'let', 'gmathbfgk_v', 'let', 'gamma', 'be', 'an', 'arithmetic', 'lattice', 'in', 'g', 'and', 'let', 'ccgamma', 'be', 'its', 'congruence', 'kernel', 'lubotzky', 'has', 'shown', 'that', 'c', 'is', 'infinite', 'confirming', 'an', 'earlier', 'conjecture', 'of', 'serre', 'here', 'we', 'provide', 'complete', 'solution', 'of', 'the', 'congruence', 'subgroup', 'problem', 'for', 'gamm', 'by', 'determining', 'the', 'structure', 'of', 'c', 'it', 'is', 'shown', 'that', 'c', 'is', 'a', 'free', 'profinite', 'product', 'one', 'of', 'whose', 'factors', 'is', 'hatf_omega', 'the', 'free', 'profinite', 'group', 'on', 'countably', 'many', 'generators', 'the', 'most', 'surprising', 'conclusion', 'from', 'our', 'results', 'is', 'that', 'the', 'structure', 'of', 'c', 'depends', 'only', 'on', 'the', 'characteristic', 'of', 'k', 'the', 'structure', 'of', 'c', 'is', 'already', 'known', 'for', 'a', 'number', 'of', 'special', 'cases', 'perhaps', 'the', 'most', 'important', 'of', 'these', 'is', 'the', 'nonuniform', 'example', 'gammasl_2mathcalos', 'where', 'mathcalos', 'is', 'the', 'ring', 'of', 'sintegers', 'in', 'k', 'with', 'sv', 'which', 'plays', 'a', 'central', 'role', 'in', 'the', 'theory', 'of', 'drinfeld', 'modules', 'the', 'proof', 'makes', 'use', 'of', 'a', 'decomposition', 'theorem', 'of', 'lubotzky', 'arising', 'from', 'the', 'action', 'of', 'gamma', 'on', 'the', 'bruhattits', 'tree', 'associated', 'with', 'g']] | [-0.188602431822801, 0.10648901033761436, -0.1275054676989752, -0.027814875217507397, -0.09753021803411721, -0.14240034591321918, 0.004822899525129058, 0.32988282548019077, -0.31772449963392146, -0.22801489603260033, 0.09837297525437963, -0.2569089793515476, -0.09807538568286808, 0.22817289151458275, -0.08429082460710872, -0.07945441221024586, 0.03634583002446626, 0.1755892160230121, -0.025388038421468338, -0.2708782890136589, 0.3445957745590031, 0.0011134356297928878, 0.19851182329332023, 0.06635432566440842, 0.07168136475692419, 0.01854839239953288, -0.009698547916769079, 0.003950098160873834, -0.12098672976913583, 0.11997669314285929, 0.3039780153347311, 0.1020268573408586, 0.2525202311751285, -0.33915457315507785, -0.16971650910963576, 0.19382166502717413, 0.13059675142361848, -0.030829717782608262, 0.0017357996301584396, -0.23426360136246063, 0.1715674831560164, -0.14346576248756562, -0.13562833485099476, -0.03392888366061291, 0.11937750726432605, -0.01688787301607204, -0.26642574992405976, -0.007216295410850735, 0.1057665429567222, 0.11757956002250954, -0.03520798668643987, -0.13924562215341743, -0.052826767205260694, 0.07763386033052071, -0.0060375396343362, 0.11706154057614956, 0.07057000297554439, -0.09480289239530461, -0.10077455011196434, 0.432833607061625, -0.07733110821984633, -0.14503087257293779, 0.1345586373854071, -0.17600721505828051, -0.14200946499800515, 0.12905347650350926, 0.08015313407293323, 0.1568745773760696, -0.026197285937895585, 0.24837653453384215, -0.1666442170966125, 0.10256699334848861, 0.056486120344036155, -0.040761941688774964, 0.14747862401183207, 0.11037759198054596, 0.09152063007059041, 0.1273289199693909, 0.031983687782852974, 0.02942986439236186, -0.35483602637594397, -0.17215913357542395, -0.1546266604158463, 0.16928158863682788, -0.12407095759687828, -0.1810281463822872, 0.38040694535940395, 0.06106802574688136, 0.1786358848783291, 0.0712332588096027, 0.19328133634649067, 0.09845560454267237, 0.06988509434023683, 0.09373995705479474, 0.08130642633587934, 0.25278747681471886, -0.0864239613639633, -0.17325969852008527, 0.05031651613476564, 0.14696250590284102] |
710.401 | A stochastic theory for temporal fluctuations in self-organized critical
systems | A stochastic theory for the toppling activity in sandpile models is
developed, based on a simple mean-field assumption about the toppling process.
The theory describes the process as an anti-persistent Gaussian walk, where the
diffusion coefficient is proportional to the activity. It is formulated as a
generalization of the It\^{o} stochastic differential equation with an
anti-persistent fractional Gaussian noise source. An essential element of the
theory is re-scaling to obtain a proper thermodynamic limit, and it captures
all temporal features of the toppling process obtained by numerical simulation
of the Bak-Tang-Wiesenfeld sandpile in this limit.
| q-fin.ST nlin.AO nlin.CG | a stochastic theory for the toppling activity in sandpile models is developed based on a simple meanfield assumption about the toppling process the theory describes the process as an antipersistent gaussian walk where the diffusion coefficient is proportional to the activity it is formulated as a generalization of the ito stochastic differential equation with an antipersistent fractional gaussian noise source an essential element of the theory is rescaling to obtain a proper thermodynamic limit and it captures all temporal features of the toppling process obtained by numerical simulation of the baktangwiesenfeld sandpile in this limit | [['a', 'stochastic', 'theory', 'for', 'the', 'toppling', 'activity', 'in', 'sandpile', 'models', 'is', 'developed', 'based', 'on', 'a', 'simple', 'meanfield', 'assumption', 'about', 'the', 'toppling', 'process', 'the', 'theory', 'describes', 'the', 'process', 'as', 'an', 'antipersistent', 'gaussian', 'walk', 'where', 'the', 'diffusion', 'coefficient', 'is', 'proportional', 'to', 'the', 'activity', 'it', 'is', 'formulated', 'as', 'a', 'generalization', 'of', 'the', 'ito', 'stochastic', 'differential', 'equation', 'with', 'an', 'antipersistent', 'fractional', 'gaussian', 'noise', 'source', 'an', 'essential', 'element', 'of', 'the', 'theory', 'is', 'rescaling', 'to', 'obtain', 'a', 'proper', 'thermodynamic', 'limit', 'and', 'it', 'captures', 'all', 'temporal', 'features', 'of', 'the', 'toppling', 'process', 'obtained', 'by', 'numerical', 'simulation', 'of', 'the', 'baktangwiesenfeld', 'sandpile', 'in', 'this', 'limit']] | [-0.07201005202767095, 0.11559073615154423, -0.11361242944472714, 0.07676177884198918, -0.05296533945947886, -0.12126792956229397, 0.03198135139445137, 0.3197923016783438, -0.32281251006612655, -0.21687312157530533, 0.10189614298655407, -0.2795750896593458, -0.19258373599303397, 0.1415229940198754, -0.07057155756966065, 0.05705416782906181, -0.009206162242365904, 0.07889981034554933, 0.0361574741815658, -0.20359785070544795, 0.26296674888090865, 0.09682730602982798, 0.2900539015468798, -0.021234687780471224, 0.1896717630669867, 0.01536482631375915, -0.04451324784834134, 0.0018643922907741447, -0.13256845140927717, 0.05242525400887979, 0.17226328627427728, 0.031328023533876, 0.26524632002079956, -0.42852829820231386, -0.28200778520151387, 0.07226622609519645, 0.0942993557760737, 0.0864107453509381, 0.024919492842041348, -0.26791040074864503, 0.052740298652727356, -0.17360435740434024, -0.1657569680264906, -0.031159373666895064, 0.043570296054607945, 0.04793301311468608, -0.3280999536773092, 0.08369428911001274, 0.1428294177485728, 0.056348421660674684, -0.026680815861388846, -0.059663078914347446, -0.020372197992707553, 0.1041989888505716, 0.02827320165448136, -0.007793509715089673, 0.1476296220771282, -0.14176512050540432, -0.17294255406840853, 0.3520660063938091, -0.12044875272794774, -0.24988993416099173, 0.15031798330723847, -0.12290592971135322, -0.13209973853571635, 0.13767115999209253, 0.1172424082007063, 0.11018318463312952, -0.20486285455132786, 0.08572657952317968, -0.06950244797197612, 0.15764701927178784, 0.001834749851964022, -0.04928710860641379, 0.1209898912641955, 0.2399212599584931, 0.0812234668600324, 0.143039585409784, -0.06165780390269662, -0.21786255593852777, -0.3424259565966694, -0.11391586815252115, -0.1998756692511961, 0.1115772872550511, -0.15366810736672243, -0.22955212888038276, 0.35741848943656995, 0.15071405455666154, 0.1655566042448443, 0.08913310174095003, 0.23133236056585846, 0.25327550073546407, -0.032011681481411584, 0.06333252520937668, 0.12670132803093445, 0.20945524608128166, 0.10464929585884276, -0.23356471658855874, 0.11901768294261082, 0.13532613946222946] |
710.4011 | Counting BPS Solitons and Applications | We propose a novel and simple method of computing the volume of the moduli
space of BPS solitons in supersymmetric gauge theory. We use a D-brane
realization of vortices and T-duality relation to domain walls. We there use a
special limit where domain walls reduce to gas of hard (soft) one-dimensional
rods for the Abelian (non-Abelian) cases. In the simpler cases of the
Abelian-Higgs model on a torus, our results agree with exact results which are
geometrically derived by an explicit integration over the moduli space of the
vortices. On the other side of the limit, we can compute the volume of the
moduli space in the combinatorial way, where the problem on the random (plane)
partition appears as well as the four dimensional instanton calculus. A part of
this talk is based on collaboration with M. Eto, T. Fujimori, M. Nitta, K.
Ohashi and N. Sakai [hep-th/0703197].
| hep-th | we propose a novel and simple method of computing the volume of the moduli space of bps solitons in supersymmetric gauge theory we use a dbrane realization of vortices and tduality relation to domain walls we there use a special limit where domain walls reduce to gas of hard soft onedimensional rods for the abelian nonabelian cases in the simpler cases of the abelianhiggs model on a torus our results agree with exact results which are geometrically derived by an explicit integration over the moduli space of the vortices on the other side of the limit we can compute the volume of the moduli space in the combinatorial way where the problem on the random plane partition appears as well as the four dimensional instanton calculus a part of this talk is based on collaboration with m eto t fujimori m nitta k ohashi and n sakai hepth0703197 | [['we', 'propose', 'a', 'novel', 'and', 'simple', 'method', 'of', 'computing', 'the', 'volume', 'of', 'the', 'moduli', 'space', 'of', 'bps', 'solitons', 'in', 'supersymmetric', 'gauge', 'theory', 'we', 'use', 'a', 'dbrane', 'realization', 'of', 'vortices', 'and', 'tduality', 'relation', 'to', 'domain', 'walls', 'we', 'there', 'use', 'a', 'special', 'limit', 'where', 'domain', 'walls', 'reduce', 'to', 'gas', 'of', 'hard', 'soft', 'onedimensional', 'rods', 'for', 'the', 'abelian', 'nonabelian', 'cases', 'in', 'the', 'simpler', 'cases', 'of', 'the', 'abelianhiggs', 'model', 'on', 'a', 'torus', 'our', 'results', 'agree', 'with', 'exact', 'results', 'which', 'are', 'geometrically', 'derived', 'by', 'an', 'explicit', 'integration', 'over', 'the', 'moduli', 'space', 'of', 'the', 'vortices', 'on', 'the', 'other', 'side', 'of', 'the', 'limit', 'we', 'can', 'compute', 'the', 'volume', 'of', 'the', 'moduli', 'space', 'in', 'the', 'combinatorial', 'way', 'where', 'the', 'problem', 'on', 'the', 'random', 'plane', 'partition', 'appears', 'as', 'well', 'as', 'the', 'four', 'dimensional', 'instanton', 'calculus', 'a', 'part', 'of', 'this', 'talk', 'is', 'based', 'on', 'collaboration', 'with', 'm', 'eto', 't', 'fujimori', 'm', 'nitta', 'k', 'ohashi', 'and', 'n', 'sakai', 'hepth0703197']] | [-0.1459946871206931, 0.11931250249378171, -0.06918835116005471, 0.0541025721943196, -0.09635945503935725, -0.08819648089064729, 0.05996733285458188, 0.3459168182635287, -0.21082182182315864, -0.2539897572825707, 0.10955926782505422, -0.23992583734224088, -0.14114419301357248, 0.1731294814503568, -0.07160509622902894, 0.013696331606835735, -0.013261247592579042, 0.03951980396915151, -0.06687983696195131, -0.26776645102595187, 0.3454384272918105, -0.03878819629103326, 0.26199798814027386, 0.038909618856803496, 0.10053184820769899, 0.017829149734976443, -0.016527768230813297, 0.018280353502830336, -0.17836189907848785, 0.146019603448071, 0.2237540386224381, 0.0073675707134665275, 0.136616508558798, -0.429513148874754, -0.19512626372252395, 0.11339013690610422, 0.16595022927424838, 0.09478896127959878, 0.01052067163843839, -0.2731145105022164, 0.05867126106354249, -0.16084325224237175, -0.1386052476801295, -0.07465776217894289, 0.04293597285116256, -0.012836655395954442, -0.21752108448837587, 0.02984316632322663, 0.04717604318383422, 0.026663153060493345, -0.052446971859681564, -0.10444599553961686, -0.04044292433200036, 0.07286993801264333, 0.05731058091980082, 0.07782863236355539, 0.10533689026131618, -0.15634673884437225, -0.13618932029574501, 0.3840429534958232, -0.07742984682879075, -0.2307567027378447, 0.16879357340259377, -0.10518509659719762, -0.13596050104215032, 0.10691181165213716, 0.12557518995385997, 0.17514860238658175, -0.05350105951026994, 0.19431219665772365, -0.12253606812331547, 0.12844195783745693, 0.08596738317322468, -0.0019619529940137245, 0.19843014967184336, 0.16177533345841835, 0.059441214938945816, 0.17410664694014696, -0.06988638407886535, -0.12417915922456554, -0.3928470278703639, -0.16707262957110672, -0.17657185026973513, 0.07229267518181785, -0.11067355465475347, -0.18315575978889756, 0.3399500938696267, 0.06574875228605899, 0.23043048305779087, 0.06542601398477246, 0.24699814872322035, 0.06803788936484706, 0.03309855307927545, 0.05154439394020152, 0.16638104218457425, 0.14565213350262365, 0.08636038648170502, -0.2105073633502383, -0.10120492166963083, 0.1730937449464283] |
710.4012 | Experimental and First principle calculation of Co_xNi_{(1-x)}Si solid
solution structural stability | We report the investigation of the structural stability of
Co$_{(1-x)}$Ni$_x$Si monosilicides for $0<x<1$. As CoSi crystallizes in the
FeSi-type structure (B20) and NiSi is stable in the MnP-type structure (B31), a
complete set of samples has been synthesized and a systematic study of phase
formation under different annealing conditions were carried out in order to
understand the reason of such a structural transition when x goes from 0 to 1.
This study has revealed a limit in the solubility of Ni in CoSi B20 structure
of about 17.5 at.% and of Co in NiSi B31 phase of about 13 at.%. For
$0.35<x<0.74$ both B20 and B31 phases are present in the sample at there
respective limits of solubility. The temperature dependence of the magnetic
susceptibility has also been measured revealing diamagnetic behaviors. Optimal
structural parameters and phase stability of the solid solution have been
investigated using self-consistent full-potential linearized augmented plane
wave method (FP-LAPW) based on the density functional theory (DFT). This
calculation well predicts the structural instability observed experimentally.
| cond-mat.mtrl-sci cond-mat.other | we report the investigation of the structural stability of co_1xni_xsi monosilicides for 0x1 as cosi crystallizes in the fesitype structure b20 and nisi is stable in the mnptype structure b31 a complete set of samples has been synthesized and a systematic study of phase formation under different annealing conditions were carried out in order to understand the reason of such a structural transition when x goes from 0 to 1 this study has revealed a limit in the solubility of ni in cosi b20 structure of about 175 at and of co in nisi b31 phase of about 13 at for 035x074 both b20 and b31 phases are present in the sample at there respective limits of solubility the temperature dependence of the magnetic susceptibility has also been measured revealing diamagnetic behaviors optimal structural parameters and phase stability of the solid solution have been investigated using selfconsistent fullpotential linearized augmented plane wave method fplapw based on the density functional theory dft this calculation well predicts the structural instability observed experimentally | [['we', 'report', 'the', 'investigation', 'of', 'the', 'structural', 'stability', 'of', 'co_1xni_xsi', 'monosilicides', 'for', '0x1', 'as', 'cosi', 'crystallizes', 'in', 'the', 'fesitype', 'structure', 'b20', 'and', 'nisi', 'is', 'stable', 'in', 'the', 'mnptype', 'structure', 'b31', 'a', 'complete', 'set', 'of', 'samples', 'has', 'been', 'synthesized', 'and', 'a', 'systematic', 'study', 'of', 'phase', 'formation', 'under', 'different', 'annealing', 'conditions', 'were', 'carried', 'out', 'in', 'order', 'to', 'understand', 'the', 'reason', 'of', 'such', 'a', 'structural', 'transition', 'when', 'x', 'goes', 'from', '0', 'to', '1', 'this', 'study', 'has', 'revealed', 'a', 'limit', 'in', 'the', 'solubility', 'of', 'ni', 'in', 'cosi', 'b20', 'structure', 'of', 'about', '175', 'at', 'and', 'of', 'co', 'in', 'nisi', 'b31', 'phase', 'of', 'about', '13', 'at', 'for', '035x074', 'both', 'b20', 'and', 'b31', 'phases', 'are', 'present', 'in', 'the', 'sample', 'at', 'there', 'respective', 'limits', 'of', 'solubility', 'the', 'temperature', 'dependence', 'of', 'the', 'magnetic', 'susceptibility', 'has', 'also', 'been', 'measured', 'revealing', 'diamagnetic', 'behaviors', 'optimal', 'structural', 'parameters', 'and', 'phase', 'stability', 'of', 'the', 'solid', 'solution', 'have', 'been', 'investigated', 'using', 'selfconsistent', 'fullpotential', 'linearized', 'augmented', 'plane', 'wave', 'method', 'fplapw', 'based', 'on', 'the', 'density', 'functional', 'theory', 'dft', 'this', 'calculation', 'well', 'predicts', 'the', 'structural', 'instability', 'observed', 'experimentally']] | [-0.1262811766017206, 0.10472989404674418, -0.09226850949752027, 0.0008715915258048091, -0.00765067057734255, -0.03909192210855241, 0.09802666901886842, 0.39453473815437917, -0.23360343036885947, -0.31964522949838176, 0.0895967452381152, -0.30319298984494036, -0.12567209058112191, 0.127953107056102, 0.07623115236017697, 0.07147875925369873, -0.04878970726761231, 0.008941583248959509, -0.14975296002450192, -0.1843368041058612, 0.2564421622012881, 0.04922720020871141, 0.297959816452495, 0.05322184956396935, 0.07234298523995066, -0.026739600320865295, 0.06839091325189896, 0.05195317054892371, -0.19310509867709644, 0.018550166260718762, 0.23938914417278043, 0.011563757999136509, 0.2031188509106346, -0.42155080779941306, -0.23313240079532663, 0.01506313202905463, 0.09657724938650955, 0.09479119744107216, -0.07926669370865416, -0.23910113772053918, 0.13157316761280963, -0.09702131743082766, -0.13265501604830945, -0.10907081751610169, -0.0020770556669860722, 0.008536278245089476, -0.2217499312138168, 0.09394708241619766, 0.02753169589305107, 0.15424293431475714, -0.1258308778957514, -0.1725081060092874, -0.0939519320765209, 0.07657154726961064, 0.03005810396489269, 0.048737206473991185, 0.10919171878733411, -0.07051091745752328, -0.043998926677211316, 0.38625143932925904, -0.026661112314106863, -0.055998359840296344, 0.14917531587925187, -0.20499615984333436, -0.16333497861333326, 0.19091505044792406, 0.12229509422315764, 0.13397200667009337, -0.1525601208333552, 0.11505558624588968, -0.008134403955355193, 0.2159688260620962, 0.0745683147928895, 0.022352419735049596, 0.18226465553848328, 0.22828983596991748, -0.007795521686924343, 0.15351625099362706, -0.13465772981443136, -0.07897141966466864, -0.2181902505306828, -0.1680850511874089, -0.14199286591732863, 0.05341038285518653, -0.06583722077913423, -0.1809432410333908, 0.39413588814169703, 0.1253677328433674, 0.1715606948762329, -0.057486211284325864, 0.20141528265182665, 0.07040563958683428, 0.043702900277947015, 0.01952263275663296, 0.28630122871969094, 0.18921421191091845, 0.10930375247624909, -0.252828125737351, 0.12544583784371705, 0.024997231657867748] |
710.4013 | Screened Coulomb interaction in the maximally localized Wannier basis | We discuss a maximally localized Wannier function approach for constructing
lattice models from first-principles electronic structure calculations, where
the effective Coulomb interactions are calculated in the constrained
random-phase-approximation. The method is applied to the 3d transition metals
and a perovskite (SrVO_3). We also optimize the Wannier functions by unitary
transformation so that U is maximized. Such Wannier functions unexpectedly
turned out to be very close to the maximally localized ones.
| cond-mat.str-el | we discuss a maximally localized wannier function approach for constructing lattice models from firstprinciples electronic structure calculations where the effective coulomb interactions are calculated in the constrained randomphaseapproximation the method is applied to the 3d transition metals and a perovskite srvo_3 we also optimize the wannier functions by unitary transformation so that u is maximized such wannier functions unexpectedly turned out to be very close to the maximally localized ones | [['we', 'discuss', 'a', 'maximally', 'localized', 'wannier', 'function', 'approach', 'for', 'constructing', 'lattice', 'models', 'from', 'firstprinciples', 'electronic', 'structure', 'calculations', 'where', 'the', 'effective', 'coulomb', 'interactions', 'are', 'calculated', 'in', 'the', 'constrained', 'randomphaseapproximation', 'the', 'method', 'is', 'applied', 'to', 'the', '3d', 'transition', 'metals', 'and', 'a', 'perovskite', 'srvo_3', 'we', 'also', 'optimize', 'the', 'wannier', 'functions', 'by', 'unitary', 'transformation', 'so', 'that', 'u', 'is', 'maximized', 'such', 'wannier', 'functions', 'unexpectedly', 'turned', 'out', 'to', 'be', 'very', 'close', 'to', 'the', 'maximally', 'localized', 'ones']] | [-0.07446778645472867, 0.15943577638162035, -0.0670541559254551, 0.14204125753936492, 0.0015432244698916162, -0.15968050393941147, 0.10810861589520106, 0.4517287194196667, -0.2741873840668372, -0.20537362404699835, -0.009771290582804276, -0.3254348013550043, -0.2261881044666682, 0.11473029275491302, 0.07892789226690573, 0.06408341656705098, 0.03812076087508883, -0.08051522438680488, -0.20004065192104983, -0.21431160391241844, 0.29049390227134736, 0.04065902237780392, 0.27977757533746106, 0.06481722088397614, -0.015314629474388702, 0.028508648608944247, 0.09401823348099632, 0.019467757748706, -0.10812128471329092, 0.12986880021302827, 0.2978759554903393, 0.0015040517052901643, 0.2390041772575517, -0.4615367623844317, -0.17739677720570138, 0.007544246678506689, 0.11486593351167228, 0.17999524347750204, -0.036556010280868835, -0.28719361670581356, 0.03184149403075155, -0.1705533549987844, -0.13866612319834531, -0.19915373950664486, -0.002467482882950987, -0.004604513796844653, -0.31869360864179075, 0.04821759811368663, -0.0493558836784879, -0.010721492725029489, -0.11665278472937643, -0.12775697352231613, -0.12097175255018686, 0.05611522415918963, 3.752344554024083e-05, 0.13801734913140534, 0.1528284681229187, -0.08475922453882438, -0.05436114200690229, 0.41107875726052695, -0.018243554859821286, -0.23393904481615338, 0.13830033647827805, -0.13304127319715917, -0.08801418845541775, 0.11965299401698368, 0.1209294831180679, 0.18720597395274255, -0.16458301180225265, 0.11446332132493678, -0.03237891217369387, 0.17167365961774653, -0.002201559893520815, 0.04150864628941885, 0.21288054717505084, 0.10907106822290058, 0.04192292937077582, 0.13957013855521966, -0.04569108043797314, -0.12314885243041707, -0.23790523995246207, -0.07129674197307655, -0.2956827204208821, 0.03945952249424798, -0.044647325342313186, -0.2191276597042036, 0.44184676839047043, 0.10738057071742202, 0.15698095227791262, -0.01911551737492638, 0.18159717401888753, 0.1578381453773805, 0.1071581557393074, 0.04634155090898275, 0.2823356279038957, 0.1262242910385664, 0.007272909195827586, -0.2375755637052602, -0.003728099154042346, 0.126691687759012] |
710.4014 | Dynamic Control of Laser Produced Proton Beams | The emission characteristics of intense laser driven protons are controlled
using ultra-strong (of the order of 10^9 V/m) electrostatic fields varying on a
few ps timescale. The field structures are achieved by exploiting the high
potential of the target (reaching multi-MV during the laser interaction).
Suitably shaped targets result in a reduction in the proton beam divergence,
and hence an increase in proton flux while preserving the high beam quality.
The peak focusing power and its temporal variation are shown to depend on the
target characteristics, allowing for the collimation of the inherently highly
divergent beam and the design of achromatic electrostatic lenses.
| physics.plasm-ph physics.acc-ph | the emission characteristics of intense laser driven protons are controlled using ultrastrong of the order of 109 vm electrostatic fields varying on a few ps timescale the field structures are achieved by exploiting the high potential of the target reaching multimv during the laser interaction suitably shaped targets result in a reduction in the proton beam divergence and hence an increase in proton flux while preserving the high beam quality the peak focusing power and its temporal variation are shown to depend on the target characteristics allowing for the collimation of the inherently highly divergent beam and the design of achromatic electrostatic lenses | [['the', 'emission', 'characteristics', 'of', 'intense', 'laser', 'driven', 'protons', 'are', 'controlled', 'using', 'ultrastrong', 'of', 'the', 'order', 'of', '109', 'vm', 'electrostatic', 'fields', 'varying', 'on', 'a', 'few', 'ps', 'timescale', 'the', 'field', 'structures', 'are', 'achieved', 'by', 'exploiting', 'the', 'high', 'potential', 'of', 'the', 'target', 'reaching', 'multimv', 'during', 'the', 'laser', 'interaction', 'suitably', 'shaped', 'targets', 'result', 'in', 'a', 'reduction', 'in', 'the', 'proton', 'beam', 'divergence', 'and', 'hence', 'an', 'increase', 'in', 'proton', 'flux', 'while', 'preserving', 'the', 'high', 'beam', 'quality', 'the', 'peak', 'focusing', 'power', 'and', 'its', 'temporal', 'variation', 'are', 'shown', 'to', 'depend', 'on', 'the', 'target', 'characteristics', 'allowing', 'for', 'the', 'collimation', 'of', 'the', 'inherently', 'highly', 'divergent', 'beam', 'and', 'the', 'design', 'of', 'achromatic', 'electrostatic', 'lenses']] | [-0.1325864512188013, 0.18767935081054662, -0.03508286714079041, 0.047384038951028794, -0.019760118350021394, -0.10492572632924124, -0.0010751713633391203, 0.4474129163313146, -0.23157115382891075, -0.3655540737159112, 0.03663522354897806, -0.24889725910536215, 0.0017386961125713937, 0.22453286653092386, -0.018192026471974803, 0.06126137570347911, 0.015657539876616177, -0.04295462674881313, -0.03184989955751043, -0.18262838007078744, 0.2946645697423567, 0.15110619385799795, 0.32765065445153807, 0.08585737307793369, 0.15858449753574735, 0.006764907243789411, -0.01003903642698538, -0.009130700767569827, -0.037288010494747, 0.11564295531214014, 0.16912658159979435, 0.059292284616579614, 0.2541870073068376, -0.4512011050885799, -0.20553779229179353, 0.032003740752663684, 0.13070042351461655, 0.06759871666858375, -0.07309057056451873, -0.2653488171213836, 0.05166330457637634, -0.13311995554249734, -0.13957991422263577, -0.016393392517998377, 0.006533500958717994, 0.14109094284746485, -0.27296903908398806, 0.01463455108551345, 0.041811443892691064, 0.08048856476613996, -0.06014888518742131, -0.05938371500073403, -0.017982251764110783, 0.07621146393392016, 0.06337174201639843, 0.08347368997284303, 0.2097251766119335, -0.19384999045024753, -0.04274233621682095, 0.37399366659605326, -0.05013925763070766, -0.13864723592996597, 0.14094550602192826, -0.19520322101957657, -0.025276953710571808, 0.24190026312591692, 0.1813492806920526, 0.12594751840201662, -0.11443401071957458, 0.012462265134957967, 0.08769839739098269, 0.20435700280701413, 0.14809596957867124, 0.06460938860169228, 0.2114556780924984, 0.19535665375217065, 0.054775374180262945, 0.13120030787974304, -0.14136356864051491, -0.03027762628306507, -0.2588117576989473, -0.06184192088560438, -0.13343793112675056, 0.029558616074021247, -0.07139445988729017, -0.11753131508657151, 0.4355457001228762, 0.09288887548096039, 0.15603367171670293, -0.03786338501445511, 0.29911892946042556, 0.15033176043709995, 0.06716330384141674, 0.012665606738415127, 0.31176056332119245, 0.13094570002217285, 0.1350834739426443, -0.27785222822179395, 0.058941803973022046, -0.04236413560711833] |
710.4015 | A new extended KP hierarchy | A method is proposed to construct a new extended KP hierarchy, which includes
two types of KP equation with self-consistent sources and admits reductions to
k-constrained KP hierarchy and to Gelfand-Dickey hierarchy with sources. It
provides a general way to construct soliton equations with sources and their
Lax representations.
| nlin.SI | a method is proposed to construct a new extended kp hierarchy which includes two types of kp equation with selfconsistent sources and admits reductions to kconstrained kp hierarchy and to gelfanddickey hierarchy with sources it provides a general way to construct soliton equations with sources and their lax representations | [['a', 'method', 'is', 'proposed', 'to', 'construct', 'a', 'new', 'extended', 'kp', 'hierarchy', 'which', 'includes', 'two', 'types', 'of', 'kp', 'equation', 'with', 'selfconsistent', 'sources', 'and', 'admits', 'reductions', 'to', 'kconstrained', 'kp', 'hierarchy', 'and', 'to', 'gelfanddickey', 'hierarchy', 'with', 'sources', 'it', 'provides', 'a', 'general', 'way', 'to', 'construct', 'soliton', 'equations', 'with', 'sources', 'and', 'their', 'lax', 'representations']] | [-0.11930357451949801, 0.00556288139742552, -0.10767392205948732, 0.15578132270293651, -0.1748068093569303, -0.1922184374202423, 0.006470211610502126, 0.31834028068245673, -0.3086261945795648, -0.3503774697227137, 0.02908531203866005, -0.28911497276656484, -0.14811154743846583, 0.1610266412323227, 0.028282569322202886, -0.010666504967957735, 0.0716963906259257, -0.02406718137160856, -0.1444383673940082, -0.21155489865234312, 0.35020521273646427, -0.037093237498585056, 0.2063389128568221, -0.04921918053522098, 0.23236556225741395, -0.05977105506106603, -0.034359619724659285, -0.05575986810940869, -0.11104614120356891, 0.1313318328323717, 0.284652906184902, 0.13409540391698174, 0.10304521141592793, -0.34036698766356827, -0.21827297828787443, 0.10223592173460187, 0.15490810854398473, 0.1539442078566787, -0.031247674354485104, -0.3189301525185607, 0.09660736363077042, -0.17959964111903493, -0.20287912587958332, -0.12239224566099215, 0.04919638674782247, 0.04764677515747596, -0.26369763641827265, 0.08941794362641414, 0.023242331490072668, -0.08889447112700768, -0.09819613942610365, -0.09878930038706, -0.0648235792142092, 0.0038010445613490076, -0.0264524373853085, -0.0029292348202089873, -0.07020623445016694, -0.0643075916070339, -0.13521567637062804, 0.44717647561005186, -0.0817056642845273, -0.29431309224087365, 0.19549015174828926, 0.00039497667885556514, -0.15363292065354026, 0.1449574829478349, 0.1059674125221767, 0.06153639137972983, -0.19609891188007836, 0.061337454801624905, -0.09358976500070824, 0.1901157390948727, 0.06912830943355755, 0.029699683726328065, 0.1681775126739272, 0.19386078383089328, 0.07014319072572553, 0.12395289954634345, -0.025735791411478907, -0.13611439192591576, -0.2861518665996133, -0.10205474698307868, 0.0030135661030986477, 0.08201427812859112, -0.045481402378550695, -0.1826657074163858, 0.44113290537985006, 0.10075261071324348, 0.104835339044981, 0.12558251108299484, 0.16210298134698248, 0.2171102642480816, 0.10486904014263074, 0.05899285292252898, 0.09021455593103049, 0.21520819967346533, 0.10408514356050565, -0.1519327394911373, -0.14022371755456742, 0.1841404253749975] |
710.4016 | Equicontinuous Geodesic Flows | The author shows that equicontinuous geodesic flows on surfaces are periodic.
A similar result for flows on 3-manifolds is also proven. The idea of the proof
is to show that the return map is recurrent and therefore periodic.
| math.DS math.DG | the author shows that equicontinuous geodesic flows on surfaces are periodic a similar result for flows on 3manifolds is also proven the idea of the proof is to show that the return map is recurrent and therefore periodic | [['the', 'author', 'shows', 'that', 'equicontinuous', 'geodesic', 'flows', 'on', 'surfaces', 'are', 'periodic', 'a', 'similar', 'result', 'for', 'flows', 'on', '3manifolds', 'is', 'also', 'proven', 'the', 'idea', 'of', 'the', 'proof', 'is', 'to', 'show', 'that', 'the', 'return', 'map', 'is', 'recurrent', 'and', 'therefore', 'periodic']] | [-0.20621652107097602, 0.09997769026085734, -0.1405423216423706, 0.12394931823885265, -0.06912118929291242, -0.12260163633005791, -0.020460515319810885, 0.38555798326667984, -0.2713788245853625, -0.1815334224191151, 0.1636478628865198, -0.3119826656521151, -0.21735512099755733, 0.3019334621433365, -0.1792256590224018, 0.04011113788491409, 0.12834231704963664, 0.06976720707883176, -0.011815991191389529, -0.2697449806391409, 0.3870195497415568, -0.02048372097411438, 0.2798880865111163, 0.11589129720079272, 0.10432102688049015, -0.08778884801033296, -0.06374004453812775, 0.006267666767694448, -0.12010714400898187, 0.1100070753232821, 0.1717798463804157, 0.017429272546187827, 0.18913519696185463, -0.3487820197386961, -0.24391754165193752, 0.077261468456862, 0.09854741795233597, 0.054894818863096204, -0.05496577536809797, -0.26436017684050295, 0.1672353763010745, -0.07783004205281797, -0.1488952345802988, -0.09196156282958232, 0.0651763386436199, 0.05395449457788154, -0.22353078072008334, 0.007281435009453593, 0.20744781083378352, 0.07588879805744479, -0.07132036328364752, 0.007028327850428851, -0.06307975212602239, 0.13335683977378435, 0.0865113465666869, 0.08804938937292288, 0.0855443513413009, -0.014518699339149814, -0.08182557169838171, 0.3609156726222289, -0.0893989990612394, -0.25832024108814566, 0.20908186212182045, -0.11681947629212548, -0.1671544109397617, 0.15162034555779477, 0.14570716709682816, 0.12688364485572828, -0.11232469962468665, 0.07695623913528643, -0.15611782819522838, 0.1339944677525445, 0.09741082646589923, -0.07725988637263838, 0.15907784855287327, 0.13552384256189198, 0.19655127453274632, 0.1380453630791683, -0.02189119247180459, -0.10592853818333854, -0.27482456321779053, -0.2121094026063618, -0.20620672880843477, 0.08494650658318087, -0.04318175887601683, -0.21094050091740332, 0.3798020951645939, 0.06263373017703232, 0.1763764312000651, 0.14649641636366906, 0.24514537856080815, 0.06501962621941378, 0.03709725109786775, 0.14618740243052966, 0.22856501040146932, 0.12268062086628848, 0.06750289887483966, -0.14084459786107273, 0.06774448249243985, 0.21612696692739664] |
710.4017 | Eta and Eta' physics | This talk describes the reasons why $\eta$ and $\eta^\prime$ decays are an
interesting topic of study for both theory and experiment. The main part
discusses the results of the recent calculation of $\eta\to3\pi$ at two-loop
order in ChPT. Some puzzling aspects of the results compared to earlier
dispersive calculations are highlighted. I also like to remind the reader of
the use of $\eta$ and $\eta^\prime$ decays for studying the anomaly.
| nucl-th hep-ph | this talk describes the reasons why eta and etaprime decays are an interesting topic of study for both theory and experiment the main part discusses the results of the recent calculation of etato3pi at twoloop order in chpt some puzzling aspects of the results compared to earlier dispersive calculations are highlighted i also like to remind the reader of the use of eta and etaprime decays for studying the anomaly | [['this', 'talk', 'describes', 'the', 'reasons', 'why', 'eta', 'and', 'etaprime', 'decays', 'are', 'an', 'interesting', 'topic', 'of', 'study', 'for', 'both', 'theory', 'and', 'experiment', 'the', 'main', 'part', 'discusses', 'the', 'results', 'of', 'the', 'recent', 'calculation', 'of', 'etato3pi', 'at', 'twoloop', 'order', 'in', 'chpt', 'some', 'puzzling', 'aspects', 'of', 'the', 'results', 'compared', 'to', 'earlier', 'dispersive', 'calculations', 'are', 'highlighted', 'i', 'also', 'like', 'to', 'remind', 'the', 'reader', 'of', 'the', 'use', 'of', 'eta', 'and', 'etaprime', 'decays', 'for', 'studying', 'the', 'anomaly']] | [-0.07973786027702902, 0.12890591891004338, -0.10397943888175568, 0.1247073672029988, -0.08491576372512749, -0.10654295020337616, 0.02110589718213305, 0.2818736596032977, -0.16673884193712313, -0.24333508139742271, 0.041426691018776704, -0.3830136035169874, -0.17199189734778234, 0.1645115014340263, -0.00151663799104946, 0.051099358153130325, 0.05869736485183239, 0.06186239205832992, -0.061947470770350524, -0.20706972225037004, 0.3358077621420047, 0.07141126026565742, 0.19274676151440612, 0.1762155117733138, -0.04566056647870157, -0.0014756849235189812, -0.14424234246835113, -0.07003562059918685, -0.17437704369159682, 0.10813798547522831, 0.2603959577690278, 0.08401450328528881, 0.1939270219233419, -0.39877567554691007, -0.1192935317089515, 0.036580078776127525, 0.1686412814871541, 0.12165116711403243, -0.05358057084626385, -0.3060212571706091, 0.1041452534230692, -0.174543358585132, -0.18226035466151577, -0.12777564451098442, 0.020014787644946148, -0.025589512957126966, -0.22072489649789143, 0.044169511316327514, 0.017455588161413158, 0.0497753393594134, -0.03703793631866574, -0.2376605922489294, 0.11556435476855507, 0.09826057503897963, 0.2171265048773161, 0.05000893316298191, 0.09697520780776228, -0.17579691310280135, -0.14775327883128608, 0.4199336941753115, -0.027409897619924906, -0.10630630133673549, 0.16651993194661502, -0.1804376604434635, -0.20592705967969127, 0.094272110800791, 0.1502770706445777, 0.06823878619616153, -0.13551308655712221, 0.07694924200768583, -0.020436749357863198, 0.13231029292302474, 0.05386302695343537, 0.06359588986794863, 0.1468780560344125, 0.20215772625857165, -0.09289606576785445, 0.06742398303135165, -0.025937147737879838, -0.09720791916229896, -0.4197673459537327, -0.17054621489452465, -0.08688251152634621, 0.008174399511023825, -0.016585385765522785, -0.06586018091599856, 0.40071267733084304, 0.18153929920600995, 0.22983602450362273, 0.001886857021600008, 0.3133587310356753, 0.09785192034074239, -0.0003298907673784665, 0.013688305795325765, 0.2822059041774732, 0.20025123663778815, 0.17529649254200713, -0.25928974727700865, 0.015891693893354385, 0.05211088069980698] |
710.4018 | Correcting \alpha_3(M_Z) in the NMSGUT | We show that superheavy threshold corrections in the New Minimal
Supersymmetric GUT based on the SO(10) Higgs system ${\bf{210\oplus 126\oplus
{\bar {126}}\oplus 10 \oplus 120}} $ can comfortably correct the prediction for
the value of $\alpha_3(M_Z)$ from the relatively large value predicted by the
two loop RG equations to the central value determined by the current world
average. The unification scale is raised above the one loop value over almost
all of the viable parameter space.
| hep-ph | we show that superheavy threshold corrections in the new minimal supersymmetric gut based on the so10 higgs system bf210oplus 126oplus bar 126oplus 10 oplus 120 can comfortably correct the prediction for the value of alpha_3m_z from the relatively large value predicted by the two loop rg equations to the central value determined by the current world average the unification scale is raised above the one loop value over almost all of the viable parameter space | [['we', 'show', 'that', 'superheavy', 'threshold', 'corrections', 'in', 'the', 'new', 'minimal', 'supersymmetric', 'gut', 'based', 'on', 'the', 'so10', 'higgs', 'system', 'bf210oplus', '126oplus', 'bar', '126oplus', '10', 'oplus', '120', 'can', 'comfortably', 'correct', 'the', 'prediction', 'for', 'the', 'value', 'of', 'alpha_3m_z', 'from', 'the', 'relatively', 'large', 'value', 'predicted', 'by', 'the', 'two', 'loop', 'rg', 'equations', 'to', 'the', 'central', 'value', 'determined', 'by', 'the', 'current', 'world', 'average', 'the', 'unification', 'scale', 'is', 'raised', 'above', 'the', 'one', 'loop', 'value', 'over', 'almost', 'all', 'of', 'the', 'viable', 'parameter', 'space']] | [-0.10909459487379838, 0.18371598946551482, -0.002523062778636813, 0.11857365688464294, -0.05236335491761565, -0.14040491943868497, 0.06614096719150742, 0.28457642608011763, -0.21018627328177295, -0.3322310632963975, 0.1175632216486459, -0.22440982790042957, -0.019955430272966625, 0.17191379251579444, -0.034369731781383354, 0.06600340073307355, 0.0027596309843162694, 0.07195969338528813, -0.06648371677535275, -0.2230270260820786, 0.30648405180623134, 0.04613217399145166, 0.22819038044661283, 0.05257178732194007, 0.09692906230688095, -0.059951651943847536, 0.044723063578518726, -0.03710257777983012, -0.1449320114812387, 0.10002214052714407, 0.18485079412659008, 0.07527187580863635, 0.18888583684961002, -0.3269641674372057, -0.14512915890663863, 0.13947336816539366, 0.1472173426176111, 0.05593931413566073, -0.010443796436302364, -0.2771048787236214, 0.1492092918480436, -0.2052738023797671, -0.10726637205109, -0.017279205912103256, -0.0022659943501154582, -0.13653471772869427, -0.2710566636174917, 0.0773013612565895, -0.06576965746780236, 0.022721936665475367, -0.030763710054258507, -0.1900857374832655, -0.07045200961952408, 0.05832481828207771, 0.10708129478618503, 0.047899726734807094, 0.191430168778946, -0.18671718715379634, -0.1114821705284218, 0.3944278857111931, -0.1169410385377705, -0.11107542527645516, 0.0753317544888705, -0.1756485116109252, -0.12069990972056985, 0.13925581223952274, 0.10144223815451066, 0.10127958280344804, -0.10007491759955883, 0.17868059939394396, -0.07122698174789548, 0.1783810230034093, 0.04626473713666201, -0.048174948437760275, 0.22179015620184753, 0.16424357139815887, 0.055359120815992355, -0.006453500539064408, -0.05360026385324697, -0.14966862918188176, -0.39132603933413823, -0.09135802897314231, -0.07091025908943266, 0.07494127828783045, -0.15862588590631882, -0.09109170449276766, 0.40781863608087104, 0.16489991250137487, 0.2660529733200868, 0.07868853073567152, 0.22939918965722123, 0.10402032694468896, 0.14236509782572587, 0.06662199078127742, 0.3127241114837428, 0.08199832053855062, 0.05867390958437075, -0.24070581529599924, -0.027850567487378915, 0.11215411977221569] |
710.4019 | A principal component analysis approach to the morphology of Planetary
Nebulae | Principal Component Analysis (PCA) is a well-known technique used to
decorrelate a set of vectors. It has been applied to explore the star formation
history of galaxies or to determine distances of mass-lossing stars. Here we
apply PCA to the optical data of Planetary Nebulae (PNe) with the aim of
extracting information about their morphological differences. Preliminary
analysis of a sample of 55 PNe with known abundances and morphology shows that
the second component (PC2), which results from a relation produced by the
parameters log(N/O), initial and final mass of PNe, is depending on the
morphology of PNe. It has been found that when log(N/O) < -0.18 the PNe's
nitrogen is low independently on the oxygen abundance for either Bipolar (B),
Elliptical (E) or Round (R) PNe. An interesting result is that both E and R PNe
have log(N/O) < 0 while only B PNe show negative and positive values.
Consequently, B PNe are expected to have higher nitrogen values than the E and
R PNe. Following that and a second sample of 35 PNe, n_{e} is also found to be
higher in B PNe. Also, in all PNe morphologies PC2 appears to have a minimum at
0.89 and PNe's initial mass at 2.6 solar masses. 5-D diagrams between PCAs
components and physical parameters are also presented. More results will follow
while simple models will be applied in order to try to give a physical meaning
to the components.
| astro-ph | principal component analysis pca is a wellknown technique used to decorrelate a set of vectors it has been applied to explore the star formation history of galaxies or to determine distances of masslossing stars here we apply pca to the optical data of planetary nebulae pne with the aim of extracting information about their morphological differences preliminary analysis of a sample of 55 pne with known abundances and morphology shows that the second component pc2 which results from a relation produced by the parameters logno initial and final mass of pne is depending on the morphology of pne it has been found that when logno 018 the pnes nitrogen is low independently on the oxygen abundance for either bipolar b elliptical e or round r pne an interesting result is that both e and r pne have logno 0 while only b pne show negative and positive values consequently b pne are expected to have higher nitrogen values than the e and r pne following that and a second sample of 35 pne n_e is also found to be higher in b pne also in all pne morphologies pc2 appears to have a minimum at 089 and pnes initial mass at 26 solar masses 5d diagrams between pcas components and physical parameters are also presented more results will follow while simple models will be applied in order to try to give a physical meaning to the components | [['principal', 'component', 'analysis', 'pca', 'is', 'a', 'wellknown', 'technique', 'used', 'to', 'decorrelate', 'a', 'set', 'of', 'vectors', 'it', 'has', 'been', 'applied', 'to', 'explore', 'the', 'star', 'formation', 'history', 'of', 'galaxies', 'or', 'to', 'determine', 'distances', 'of', 'masslossing', 'stars', 'here', 'we', 'apply', 'pca', 'to', 'the', 'optical', 'data', 'of', 'planetary', 'nebulae', 'pne', 'with', 'the', 'aim', 'of', 'extracting', 'information', 'about', 'their', 'morphological', 'differences', 'preliminary', 'analysis', 'of', 'a', 'sample', 'of', '55', 'pne', 'with', 'known', 'abundances', 'and', 'morphology', 'shows', 'that', 'the', 'second', 'component', 'pc2', 'which', 'results', 'from', 'a', 'relation', 'produced', 'by', 'the', 'parameters', 'logno', 'initial', 'and', 'final', 'mass', 'of', 'pne', 'is', 'depending', 'on', 'the', 'morphology', 'of', 'pne', 'it', 'has', 'been', 'found', 'that', 'when', 'logno', '018', 'the', 'pnes', 'nitrogen', 'is', 'low', 'independently', 'on', 'the', 'oxygen', 'abundance', 'for', 'either', 'bipolar', 'b', 'elliptical', 'e', 'or', 'round', 'r', 'pne', 'an', 'interesting', 'result', 'is', 'that', 'both', 'e', 'and', 'r', 'pne', 'have', 'logno', '0', 'while', 'only', 'b', 'pne', 'show', 'negative', 'and', 'positive', 'values', 'consequently', 'b', 'pne', 'are', 'expected', 'to', 'have', 'higher', 'nitrogen', 'values', 'than', 'the', 'e', 'and', 'r', 'pne', 'following', 'that', 'and', 'a', 'second', 'sample', 'of', '35', 'pne', 'n_e', 'is', 'also', 'found', 'to', 'be', 'higher', 'in', 'b', 'pne', 'also', 'in', 'all', 'pne', 'morphologies', 'pc2', 'appears', 'to', 'have', 'a', 'minimum', 'at', '089', 'and', 'pnes', 'initial', 'mass', 'at', '26', 'solar', 'masses', '5d', 'diagrams', 'between', 'pcas', 'components', 'and', 'physical', 'parameters', 'are', 'also', 'presented', 'more', 'results', 'will', 'follow', 'while', 'simple', 'models', 'will', 'be', 'applied', 'in', 'order', 'to', 'try', 'to', 'give', 'a', 'physical', 'meaning', 'to', 'the', 'components']] | [-0.04899846600719838, 0.06531337079631759, -0.0883216995951104, 0.05683171708320299, -0.06444118912567304, -0.10362665794254083, 0.03666444679809008, 0.4198536494602765, -0.16987577825784683, -0.34580426567068356, 0.04487479010930332, -0.2852697572808997, -0.0454904626457068, 0.1851449897493062, -0.05514135912368548, -0.042225259988962364, 0.06944011765437484, -0.02170383736641162, -0.049692775405967074, -0.2857819759065948, 0.2763532374322541, 0.030257425908299194, 0.16085549883378703, -0.007029937552603878, 0.03624555197986133, -0.12375134653293417, -0.03979987837966153, 0.009806695927459336, -0.15917939242982834, 0.08132720543308404, 0.2537796662908307, 0.15353912152192098, 0.1991946870417697, -0.32659695155777274, -0.16216822878173473, 0.09583055705741696, 0.1898675430881775, 0.04520217450266562, -0.024900874148936394, -0.21063546897198263, 0.14517550486518796, -0.15758887404266161, -0.16357158452580225, 0.006099325480613901, 0.12819899504775403, 0.02541677685902391, -0.2826063082419273, 0.08894362766209346, 0.044498724266304635, 0.10603539799182218, -0.0881546403131432, -0.19851236135533112, -0.09667249651669162, 0.09680168532978022, 0.01166161501649925, 0.05171485647625266, 0.15741556655157798, -0.0881132686340992, -0.03658129933479605, 0.4011868424397909, -0.04044407768199917, -0.08617540796768804, 0.25864925327458244, -0.20942766145384728, -0.15063322068910287, 0.1377612783532132, 0.14917602768597998, 0.11985070591346535, -0.16131512481272586, 0.03150723082069169, -0.029461742111040728, 0.21073021687235746, 0.0653842674939246, 0.030696370602897132, 0.24359315493483474, 0.06147892624672534, 0.061513430626322495, 0.08667978308049142, -0.1672658573804518, -0.008918229938421588, -0.21941575708441927, -0.1389918845454951, -0.12250752375072452, 0.0789205898058214, -0.13874364537887385, -0.11242440899328912, 0.3341732874189077, 0.10180944052793212, 0.23399030280896854, -0.015863793220872186, 0.2635130641697827, 0.0704603809918207, 0.0868330435695174, 0.0943796390853033, 0.28622566757060713, 0.21281596598850752, 0.09048916204680563, -0.19375557651061573, 0.12383801422224755, -0.0021409610714526626] |
710.402 | Dice and Pulsars | The pulse sequence is interpreted as a realization of a random electron
discharge process in a vacuum gap over the polar cap (PC) - the open magnetic
force line region on the neutron star surface. This point of view is
illustrated by an example based on the dice. The generators of the random
numbers are a cube and a coin. Throwing of dice and coin tossing determine the
discharge places on the "light" and "dark" sides of PC, and correspondingly -
the "shape" of the individual pulses and their statistical properties The
physical mechanism giving such discharge scheme is shortly discussed. It may be
a charge drained down from a sharp top of surface waves in a parallel electric
field on the liquid PC surface of a neutron star.
| astro-ph | the pulse sequence is interpreted as a realization of a random electron discharge process in a vacuum gap over the polar cap pc the open magnetic force line region on the neutron star surface this point of view is illustrated by an example based on the dice the generators of the random numbers are a cube and a coin throwing of dice and coin tossing determine the discharge places on the light and dark sides of pc and correspondingly the shape of the individual pulses and their statistical properties the physical mechanism giving such discharge scheme is shortly discussed it may be a charge drained down from a sharp top of surface waves in a parallel electric field on the liquid pc surface of a neutron star | [['the', 'pulse', 'sequence', 'is', 'interpreted', 'as', 'a', 'realization', 'of', 'a', 'random', 'electron', 'discharge', 'process', 'in', 'a', 'vacuum', 'gap', 'over', 'the', 'polar', 'cap', 'pc', 'the', 'open', 'magnetic', 'force', 'line', 'region', 'on', 'the', 'neutron', 'star', 'surface', 'this', 'point', 'of', 'view', 'is', 'illustrated', 'by', 'an', 'example', 'based', 'on', 'the', 'dice', 'the', 'generators', 'of', 'the', 'random', 'numbers', 'are', 'a', 'cube', 'and', 'a', 'coin', 'throwing', 'of', 'dice', 'and', 'coin', 'tossing', 'determine', 'the', 'discharge', 'places', 'on', 'the', 'light', 'and', 'dark', 'sides', 'of', 'pc', 'and', 'correspondingly', 'the', 'shape', 'of', 'the', 'individual', 'pulses', 'and', 'their', 'statistical', 'properties', 'the', 'physical', 'mechanism', 'giving', 'such', 'discharge', 'scheme', 'is', 'shortly', 'discussed', 'it', 'may', 'be', 'a', 'charge', 'drained', 'down', 'from', 'a', 'sharp', 'top', 'of', 'surface', 'waves', 'in', 'a', 'parallel', 'electric', 'field', 'on', 'the', 'liquid', 'pc', 'surface', 'of', 'a', 'neutron', 'star']] | [-0.1293421562002077, 0.16710817508638276, -0.10380994554931723, 0.03202433315503393, -0.033279594972612354, -0.11192833411133313, 0.10656183127288187, 0.38414633708206686, -0.2441201086236736, -0.28030803452033226, 0.11979046471116286, -0.2692061085858947, -0.05050930945481372, 0.22331070252712523, -0.05895967058691665, 0.0013137792216936551, 0.012937065496248758, 0.05790485923479157, -0.039342433360852594, -0.1923973977540099, 0.282000063478536, 0.04796678806823774, 0.25377255967106876, 0.07884886116156076, 0.12628265258335458, -0.022284327650545385, 0.008912201695818835, -0.003976354203150263, -0.10576823733629674, 0.06448401329309247, 0.14281583423762928, 0.05288506619720243, 0.21639994193990458, -0.43128669745926784, -0.1862623136651915, 0.025554182988730825, 0.096095575470712, 0.09008407640256222, -0.09262242280020136, -0.27864827772998435, 0.038876583706220894, -0.153668746099657, -0.1245077010537461, 0.04313753868680535, 0.022345159929722372, 0.0662472441452867, -0.23992869924885904, 0.04254959894006881, 0.05495340686372122, 0.07908680800744515, -0.051243342972529214, -0.10097419374299742, -0.03142304288032721, 0.09795705187244444, 0.030973592397021715, 0.09546323067152976, 0.22524112102201604, -0.1383114494181671, -0.09420865518224286, 0.3904803490016873, -0.023858820954447715, -0.1467446977727291, 0.13997420231540372, -0.17958794286892582, -0.029922692581835227, 0.14146412162139543, 0.14532349188628746, 0.12200721531857069, -0.11630668543924497, 0.04040885952394822, -0.06362473339165055, 0.16404358245176628, 0.12365009789318433, -0.006482726230660057, 0.33018120986182153, 0.18094883986756088, 0.05943085065507513, 0.14701103128577164, -0.1708407118856012, -0.08143329433363489, -0.31326128427291244, -0.15863768193196123, -0.19950585854863087, 0.07370956859727368, -0.11597570117256388, -0.19252394231432302, 0.4048674227368198, 0.06761796616740143, 0.18971061443279344, -0.03737413267949669, 0.27607050080468337, 0.09122953733234981, 0.045249310569603025, 0.05266722213792226, 0.20385900267590512, 0.17307015681661314, 0.09747751956112595, -0.23535117268466985, 0.05686032322077741, 0.06193570101699667] |
710.4021 | Flat-brane Compactifications in Supergravity Induced by Scalars | We discuss flat compactifications of supergravities in diverse dimensions in
the presence of branes. The compactification is induced by the scalar fields of
supergravity and it is such that there is no relic cosmological constant on the
brane, rendering this way the latter flat. We discuss in particular the D=4,
$N=2,4$ and D=8, N=1 supergravities with $n=1,2,3$ vector multiplets where the
scalar manifolds are Grassmannian cosets of the form $SO(2,n)/SO(2)\times
SO(n)$. By introducing branes at certain points in the transverse space, finite
energy solutions to the field equations are constructed. Some of the solutions
we present may be interpreted as intersecting branes.
| hep-th | we discuss flat compactifications of supergravities in diverse dimensions in the presence of branes the compactification is induced by the scalar fields of supergravity and it is such that there is no relic cosmological constant on the brane rendering this way the latter flat we discuss in particular the d4 n24 and d8 n1 supergravities with n123 vector multiplets where the scalar manifolds are grassmannian cosets of the form so2nso2times son by introducing branes at certain points in the transverse space finite energy solutions to the field equations are constructed some of the solutions we present may be interpreted as intersecting branes | [['we', 'discuss', 'flat', 'compactifications', 'of', 'supergravities', 'in', 'diverse', 'dimensions', 'in', 'the', 'presence', 'of', 'branes', 'the', 'compactification', 'is', 'induced', 'by', 'the', 'scalar', 'fields', 'of', 'supergravity', 'and', 'it', 'is', 'such', 'that', 'there', 'is', 'no', 'relic', 'cosmological', 'constant', 'on', 'the', 'brane', 'rendering', 'this', 'way', 'the', 'latter', 'flat', 'we', 'discuss', 'in', 'particular', 'the', 'd4', 'n24', 'and', 'd8', 'n1', 'supergravities', 'with', 'n123', 'vector', 'multiplets', 'where', 'the', 'scalar', 'manifolds', 'are', 'grassmannian', 'cosets', 'of', 'the', 'form', 'so2nso2times', 'son', 'by', 'introducing', 'branes', 'at', 'certain', 'points', 'in', 'the', 'transverse', 'space', 'finite', 'energy', 'solutions', 'to', 'the', 'field', 'equations', 'are', 'constructed', 'some', 'of', 'the', 'solutions', 'we', 'present', 'may', 'be', 'interpreted', 'as', 'intersecting', 'branes']] | [-0.20105977495671204, 0.19618888049026822, 0.00936061449090738, 0.10032688935015277, -0.10052746048861064, -0.1620592295219845, -0.06740834809480106, 0.30530452254772333, -0.13886548346369573, -0.24436186240654034, 0.1194862254288988, -0.29013852213537045, -0.1343596480454844, 0.08575861940695213, -0.08756936906484224, -0.013778071951969425, -0.0516054800891382, 0.03664446280955678, -0.05943475012888781, -0.3259157457637905, 0.40713401021531526, -0.03407016594543832, 0.23202342409778867, 0.017265207452312258, 0.08554401732796785, -0.05682830758494242, 0.023821189414045894, 0.027346356494967725, -0.13272867930655674, 0.10564679721610086, 0.2641170537606398, 0.0974821242651358, 0.0708780409307173, -0.44811212066745404, -0.22155785079270895, 0.15329890899673695, 0.21456613673800878, 0.14715006357372398, -0.020497038348411937, -0.28228331857941824, 0.08815670049504958, -0.11109401838909282, -0.19555755625340607, -0.08377667287673506, 0.020989988719592664, -0.06416795469156586, -0.22532820723729557, 0.04844404745957639, 0.009141731893155022, 0.03995297804686914, -0.07843176670612233, -0.09585008557683022, -0.10619246346027691, 0.01249292344869216, 0.15914628392380506, 0.05695157060584072, 0.10953450138855836, -0.16404165896024592, -0.1342851579682625, 0.35650242695418916, -0.08183653899791217, -0.2791023811244459, 0.10953892790481891, -0.13409924219445427, -0.1372618063832495, 0.076811277906936, 0.08734169134888614, 0.18065041907611165, -0.07355740199806077, 0.2783653964092586, -0.040729498546017276, 0.07576473014853378, 0.1537740227240737, 0.06005474781078093, 0.2516544817826978, 0.10107369195107407, 0.07341467174597656, 0.13627860589427782, -0.0100078402147029, -0.09891606301143027, -0.46039828824082224, -0.13542784602925328, -0.08965802978779568, 0.1309560667538997, -0.2098361374576931, -0.1669632778641316, 0.3714250372284747, 0.03233771407999799, 0.21571802959712869, 0.017920352269591083, 0.18406475894153118, 0.07333063744677065, 0.06263118564372532, 0.10936213665213067, 0.25499789133387857, 0.1388923329725345, 0.07185944505865768, -0.18171338489253794, -0.17642278070699904, 0.150110295282142] |
710.4022 | Some series and integrals involving the Riemann zeta function, binomial
coefficients and the harmonic numbers. Volume I | In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.
| math.HO | in this series of seven papers predominantly by means of elementary analysis we establish a number of identities related to the riemann zeta function whilst this paper is mainly expository some of the formulae reported in it are believed to be new and the paper may also be of interest specifically due to the fact that most of the various identities have been derived by elementary methods | [['in', 'this', 'series', 'of', 'seven', 'papers', 'predominantly', 'by', 'means', 'of', 'elementary', 'analysis', 'we', 'establish', 'a', 'number', 'of', 'identities', 'related', 'to', 'the', 'riemann', 'zeta', 'function', 'whilst', 'this', 'paper', 'is', 'mainly', 'expository', 'some', 'of', 'the', 'formulae', 'reported', 'in', 'it', 'are', 'believed', 'to', 'be', 'new', 'and', 'the', 'paper', 'may', 'also', 'be', 'of', 'interest', 'specifically', 'due', 'to', 'the', 'fact', 'that', 'most', 'of', 'the', 'various', 'identities', 'have', 'been', 'derived', 'by', 'elementary', 'methods']] | [-0.11530844273554759, 0.09796234634724435, -0.11181551533570486, 0.08285223662596085, -0.10019141775486406, -0.07045825119755829, 0.001738097848815482, 0.31895867048470833, -0.26462381259267176, -0.33202195352415986, 0.14744018157596575, -0.2559475443923651, -0.22675369485496863, 0.2414655297883411, -0.07703294169936162, 0.02793497772393887, 0.004810208249698157, 0.02656108716766892, -0.04363426519905342, -0.30633718591989645, 0.36903676232184046, 0.02141095799352251, 0.22950457837154617, 0.09362406602629753, 0.016599788803106814, -0.051795356267534974, -0.12081624449355834, 0.015973334025188503, -0.11335698942318924, 0.1965965145587254, 0.26960807536214365, 0.10351958150502795, 0.28993866152004966, -0.4178510364701054, -0.16775346978275635, 0.1099543594824734, 0.19732889588296748, 0.08244064319600809, -0.043593217396358054, -0.233937191929835, 0.12298338900584338, -0.17212058239574754, -0.11378449098721369, -0.07115564289600101, 0.03544019835431184, 0.06641828557198394, -0.18374236443761124, 0.04907473093272298, 0.08099632804045703, 0.08167863368932436, -0.03087533965407968, -0.148290196252959, 0.038993890416363614, 0.09878097657364474, 0.16383473701260762, 0.02020909290399347, 0.040877069506460605, -0.11442601549397431, -0.08200953381810226, 0.3663112541188055, -0.003367277863087939, -0.20124467017490472, 0.19949098930471756, -0.14208516757935286, -0.20912745483775638, 0.1306870207955032, 0.13827305175920032, 0.15634538947062485, -0.23816977445480983, 0.07164386397057365, -0.08534707949121496, 0.08678917135042485, 0.08112536022550802, 0.03780368293649448, 0.1905557096296393, 0.06179735582989099, -0.02625887847588912, 0.16479074014976286, -0.00984903444438728, -0.055438731505132434, -0.30756636515760155, -0.19097129919969325, -0.19515685026825808, 0.04476317543876983, -0.005288883937486281, -0.1452647893369865, 0.412656592955785, 0.16589506411292493, 0.18187849815073076, 0.03138844425609307, 0.24487331184322264, 0.16966137813696108, 0.08632345867357147, -0.0008725327884416972, 0.21814804887894276, 0.1649707533078574, 0.058915188795593286, -0.11575055822257453, 0.09453293450399121, 0.10555030840210992] |
710.4023 | Some series and integrals involving the Riemann zeta function, binomial
coefficients and the harmonic numbers. Volume II(a) | In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.
| math.HO | in this series of seven papers predominantly by means of elementary analysis we establish a number of identities related to the riemann zeta function whilst this paper is mainly expository some of the formulae reported in it are believed to be new and the paper may also be of interest specifically due to the fact that most of the various identities have been derived by elementary methods | [['in', 'this', 'series', 'of', 'seven', 'papers', 'predominantly', 'by', 'means', 'of', 'elementary', 'analysis', 'we', 'establish', 'a', 'number', 'of', 'identities', 'related', 'to', 'the', 'riemann', 'zeta', 'function', 'whilst', 'this', 'paper', 'is', 'mainly', 'expository', 'some', 'of', 'the', 'formulae', 'reported', 'in', 'it', 'are', 'believed', 'to', 'be', 'new', 'and', 'the', 'paper', 'may', 'also', 'be', 'of', 'interest', 'specifically', 'due', 'to', 'the', 'fact', 'that', 'most', 'of', 'the', 'various', 'identities', 'have', 'been', 'derived', 'by', 'elementary', 'methods']] | [-0.11530844273554759, 0.09796234634724435, -0.11181551533570486, 0.08285223662596085, -0.10019141775486406, -0.07045825119755829, 0.001738097848815482, 0.31895867048470833, -0.26462381259267176, -0.33202195352415986, 0.14744018157596575, -0.2559475443923651, -0.22675369485496863, 0.2414655297883411, -0.07703294169936162, 0.02793497772393887, 0.004810208249698157, 0.02656108716766892, -0.04363426519905342, -0.30633718591989645, 0.36903676232184046, 0.02141095799352251, 0.22950457837154617, 0.09362406602629753, 0.016599788803106814, -0.051795356267534974, -0.12081624449355834, 0.015973334025188503, -0.11335698942318924, 0.1965965145587254, 0.26960807536214365, 0.10351958150502795, 0.28993866152004966, -0.4178510364701054, -0.16775346978275635, 0.1099543594824734, 0.19732889588296748, 0.08244064319600809, -0.043593217396358054, -0.233937191929835, 0.12298338900584338, -0.17212058239574754, -0.11378449098721369, -0.07115564289600101, 0.03544019835431184, 0.06641828557198394, -0.18374236443761124, 0.04907473093272298, 0.08099632804045703, 0.08167863368932436, -0.03087533965407968, -0.148290196252959, 0.038993890416363614, 0.09878097657364474, 0.16383473701260762, 0.02020909290399347, 0.040877069506460605, -0.11442601549397431, -0.08200953381810226, 0.3663112541188055, -0.003367277863087939, -0.20124467017490472, 0.19949098930471756, -0.14208516757935286, -0.20912745483775638, 0.1306870207955032, 0.13827305175920032, 0.15634538947062485, -0.23816977445480983, 0.07164386397057365, -0.08534707949121496, 0.08678917135042485, 0.08112536022550802, 0.03780368293649448, 0.1905557096296393, 0.06179735582989099, -0.02625887847588912, 0.16479074014976286, -0.00984903444438728, -0.055438731505132434, -0.30756636515760155, -0.19097129919969325, -0.19515685026825808, 0.04476317543876983, -0.005288883937486281, -0.1452647893369865, 0.412656592955785, 0.16589506411292493, 0.18187849815073076, 0.03138844425609307, 0.24487331184322264, 0.16966137813696108, 0.08632345867357147, -0.0008725327884416972, 0.21814804887894276, 0.1649707533078574, 0.058915188795593286, -0.11575055822257453, 0.09453293450399121, 0.10555030840210992] |
710.4024 | Some series and integrals involving the Riemann zeta function, binomial
coefficients and the harmonic numbers. Volume II(b) | In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.
| math.HO | in this series of seven papers predominantly by means of elementary analysis we establish a number of identities related to the riemann zeta function whilst this paper is mainly expository some of the formulae reported in it are believed to be new and the paper may also be of interest specifically due to the fact that most of the various identities have been derived by elementary methods | [['in', 'this', 'series', 'of', 'seven', 'papers', 'predominantly', 'by', 'means', 'of', 'elementary', 'analysis', 'we', 'establish', 'a', 'number', 'of', 'identities', 'related', 'to', 'the', 'riemann', 'zeta', 'function', 'whilst', 'this', 'paper', 'is', 'mainly', 'expository', 'some', 'of', 'the', 'formulae', 'reported', 'in', 'it', 'are', 'believed', 'to', 'be', 'new', 'and', 'the', 'paper', 'may', 'also', 'be', 'of', 'interest', 'specifically', 'due', 'to', 'the', 'fact', 'that', 'most', 'of', 'the', 'various', 'identities', 'have', 'been', 'derived', 'by', 'elementary', 'methods']] | [-0.11530844273554759, 0.09796234634724435, -0.11181551533570486, 0.08285223662596085, -0.10019141775486406, -0.07045825119755829, 0.001738097848815482, 0.31895867048470833, -0.26462381259267176, -0.33202195352415986, 0.14744018157596575, -0.2559475443923651, -0.22675369485496863, 0.2414655297883411, -0.07703294169936162, 0.02793497772393887, 0.004810208249698157, 0.02656108716766892, -0.04363426519905342, -0.30633718591989645, 0.36903676232184046, 0.02141095799352251, 0.22950457837154617, 0.09362406602629753, 0.016599788803106814, -0.051795356267534974, -0.12081624449355834, 0.015973334025188503, -0.11335698942318924, 0.1965965145587254, 0.26960807536214365, 0.10351958150502795, 0.28993866152004966, -0.4178510364701054, -0.16775346978275635, 0.1099543594824734, 0.19732889588296748, 0.08244064319600809, -0.043593217396358054, -0.233937191929835, 0.12298338900584338, -0.17212058239574754, -0.11378449098721369, -0.07115564289600101, 0.03544019835431184, 0.06641828557198394, -0.18374236443761124, 0.04907473093272298, 0.08099632804045703, 0.08167863368932436, -0.03087533965407968, -0.148290196252959, 0.038993890416363614, 0.09878097657364474, 0.16383473701260762, 0.02020909290399347, 0.040877069506460605, -0.11442601549397431, -0.08200953381810226, 0.3663112541188055, -0.003367277863087939, -0.20124467017490472, 0.19949098930471756, -0.14208516757935286, -0.20912745483775638, 0.1306870207955032, 0.13827305175920032, 0.15634538947062485, -0.23816977445480983, 0.07164386397057365, -0.08534707949121496, 0.08678917135042485, 0.08112536022550802, 0.03780368293649448, 0.1905557096296393, 0.06179735582989099, -0.02625887847588912, 0.16479074014976286, -0.00984903444438728, -0.055438731505132434, -0.30756636515760155, -0.19097129919969325, -0.19515685026825808, 0.04476317543876983, -0.005288883937486281, -0.1452647893369865, 0.412656592955785, 0.16589506411292493, 0.18187849815073076, 0.03138844425609307, 0.24487331184322264, 0.16966137813696108, 0.08632345867357147, -0.0008725327884416972, 0.21814804887894276, 0.1649707533078574, 0.058915188795593286, -0.11575055822257453, 0.09453293450399121, 0.10555030840210992] |
710.4025 | Some series and integrals involving the Riemann zeta function, binomial
coefficients and the harmonic numbers. Volume III | In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.
| math.HO | in this series of seven papers predominantly by means of elementary analysis we establish a number of identities related to the riemann zeta function whilst this paper is mainly expository some of the formulae reported in it are believed to be new and the paper may also be of interest specifically due to the fact that most of the various identities have been derived by elementary methods | [['in', 'this', 'series', 'of', 'seven', 'papers', 'predominantly', 'by', 'means', 'of', 'elementary', 'analysis', 'we', 'establish', 'a', 'number', 'of', 'identities', 'related', 'to', 'the', 'riemann', 'zeta', 'function', 'whilst', 'this', 'paper', 'is', 'mainly', 'expository', 'some', 'of', 'the', 'formulae', 'reported', 'in', 'it', 'are', 'believed', 'to', 'be', 'new', 'and', 'the', 'paper', 'may', 'also', 'be', 'of', 'interest', 'specifically', 'due', 'to', 'the', 'fact', 'that', 'most', 'of', 'the', 'various', 'identities', 'have', 'been', 'derived', 'by', 'elementary', 'methods']] | [-0.11530844273554759, 0.09796234634724435, -0.11181551533570486, 0.08285223662596085, -0.10019141775486406, -0.07045825119755829, 0.001738097848815482, 0.31895867048470833, -0.26462381259267176, -0.33202195352415986, 0.14744018157596575, -0.2559475443923651, -0.22675369485496863, 0.2414655297883411, -0.07703294169936162, 0.02793497772393887, 0.004810208249698157, 0.02656108716766892, -0.04363426519905342, -0.30633718591989645, 0.36903676232184046, 0.02141095799352251, 0.22950457837154617, 0.09362406602629753, 0.016599788803106814, -0.051795356267534974, -0.12081624449355834, 0.015973334025188503, -0.11335698942318924, 0.1965965145587254, 0.26960807536214365, 0.10351958150502795, 0.28993866152004966, -0.4178510364701054, -0.16775346978275635, 0.1099543594824734, 0.19732889588296748, 0.08244064319600809, -0.043593217396358054, -0.233937191929835, 0.12298338900584338, -0.17212058239574754, -0.11378449098721369, -0.07115564289600101, 0.03544019835431184, 0.06641828557198394, -0.18374236443761124, 0.04907473093272298, 0.08099632804045703, 0.08167863368932436, -0.03087533965407968, -0.148290196252959, 0.038993890416363614, 0.09878097657364474, 0.16383473701260762, 0.02020909290399347, 0.040877069506460605, -0.11442601549397431, -0.08200953381810226, 0.3663112541188055, -0.003367277863087939, -0.20124467017490472, 0.19949098930471756, -0.14208516757935286, -0.20912745483775638, 0.1306870207955032, 0.13827305175920032, 0.15634538947062485, -0.23816977445480983, 0.07164386397057365, -0.08534707949121496, 0.08678917135042485, 0.08112536022550802, 0.03780368293649448, 0.1905557096296393, 0.06179735582989099, -0.02625887847588912, 0.16479074014976286, -0.00984903444438728, -0.055438731505132434, -0.30756636515760155, -0.19097129919969325, -0.19515685026825808, 0.04476317543876983, -0.005288883937486281, -0.1452647893369865, 0.412656592955785, 0.16589506411292493, 0.18187849815073076, 0.03138844425609307, 0.24487331184322264, 0.16966137813696108, 0.08632345867357147, -0.0008725327884416972, 0.21814804887894276, 0.1649707533078574, 0.058915188795593286, -0.11575055822257453, 0.09453293450399121, 0.10555030840210992] |
710.4026 | Scalar Field with Robin Boundary Conditions in the Worldline Formalism | The worldline formalism has been widely used to compute physical quantities
in quantum field theory. However, applications of this formalism to quantum
fields in the presence of boundaries have been studied only recently. In this
article we show how to compute in the worldline approach the heat kernel
expansion for a scalar field with boundary conditions of Robin type. In order
to describe how this mechanism works, we compute the contributions due to the
boundary conditions to the coefficients A_1, A_{3/2} and A_2 of the heat kernel
expansion of a scalar field on the positive real line.
| hep-th | the worldline formalism has been widely used to compute physical quantities in quantum field theory however applications of this formalism to quantum fields in the presence of boundaries have been studied only recently in this article we show how to compute in the worldline approach the heat kernel expansion for a scalar field with boundary conditions of robin type in order to describe how this mechanism works we compute the contributions due to the boundary conditions to the coefficients a_1 a_32 and a_2 of the heat kernel expansion of a scalar field on the positive real line | [['the', 'worldline', 'formalism', 'has', 'been', 'widely', 'used', 'to', 'compute', 'physical', 'quantities', 'in', 'quantum', 'field', 'theory', 'however', 'applications', 'of', 'this', 'formalism', 'to', 'quantum', 'fields', 'in', 'the', 'presence', 'of', 'boundaries', 'have', 'been', 'studied', 'only', 'recently', 'in', 'this', 'article', 'we', 'show', 'how', 'to', 'compute', 'in', 'the', 'worldline', 'approach', 'the', 'heat', 'kernel', 'expansion', 'for', 'a', 'scalar', 'field', 'with', 'boundary', 'conditions', 'of', 'robin', 'type', 'in', 'order', 'to', 'describe', 'how', 'this', 'mechanism', 'works', 'we', 'compute', 'the', 'contributions', 'due', 'to', 'the', 'boundary', 'conditions', 'to', 'the', 'coefficients', 'a_1', 'a_32', 'and', 'a_2', 'of', 'the', 'heat', 'kernel', 'expansion', 'of', 'a', 'scalar', 'field', 'on', 'the', 'positive', 'real', 'line']] | [-0.12075218663925362, 0.10268718051272877, -0.10272409221800716, 0.04542460278775927, -0.10428885133821786, -0.09868577588349581, -0.029805009624171888, 0.36069660858471986, -0.2288091429269191, -0.23667298253510416, 0.09882958366213962, -0.23520406487292236, -0.18020805683150196, 0.17161564259626663, -0.03017145916627547, 0.06602234356873429, 0.0031307207668901027, 0.09597126822726629, -0.06010432884135505, -0.2532574624812096, 0.3552828295415594, 0.005917536044378102, 0.2601514129140942, 0.12314190213405288, 0.07439160588936708, -0.02569909853687913, -0.011635203116102931, 0.00722617727041859, -0.17631716632581862, 0.11307943366784795, 0.2321883239831353, 0.04693285257737968, 0.23324002066300703, -0.4432042240712446, -0.24522331032479547, 0.12072072914782335, 0.13715343546007097, 0.11675213134281107, -0.009689544391165459, -0.22997293300619445, 0.08562910399152465, -0.15106701929621474, -0.16175010197402276, -0.1017810913551714, 0.03721959763998646, -0.052221586664936974, -0.2775670589648725, 0.06416765904802944, -0.0004463077453205112, 0.019826865342167235, -0.06209319967238866, -0.07292383069594957, 0.04798202808063055, 0.11141542916560603, 0.08675239514559507, 0.03261751926278446, 0.11216490466109257, -0.15706611943392793, -0.12191640693915182, 0.3566910155578372, -0.10024568402645245, -0.23964599427458358, 0.1639204509172243, -0.1631046709503748, -0.12903787880252623, 0.0685889053772943, 0.17637876086129048, 0.16706855172926283, -0.18964763156578818, 0.18702790124963528, 0.016336295477681093, 0.08124440678001679, 0.0785004756936669, 0.007652360273851562, 0.15102986193540477, 0.017737271091372697, 0.005058523788376106, 0.16385129402324403, -0.041485565438501765, -0.14765297621008508, -0.33006978457428743, -0.1987412451597959, -0.19815339419520317, 0.06429081718850228, -0.06479848092214863, -0.21743403609419606, 0.3989918169171847, 0.20890894409067468, 0.21387744625819097, -0.024237029638487038, 0.2727984575861969, 0.17262773817769952, 0.10745107314847026, 0.05912162688051917, 0.21889291104582168, 0.214552960137731, 0.1495176980262334, -0.2560538071802981, -0.01642355346120894, 0.11440621192576651] |
710.4027 | Ultra-Peripheral Collisions at RHIC | This presentation summarizes the results on ultra-peripheral collisions
obtained at RHIC. It also discusses some aspects of the corresponding
electromagnetic interactions in pp and pbarp collisions.
| hep-ph | this presentation summarizes the results on ultraperipheral collisions obtained at rhic it also discusses some aspects of the corresponding electromagnetic interactions in pp and pbarp collisions | [['this', 'presentation', 'summarizes', 'the', 'results', 'on', 'ultraperipheral', 'collisions', 'obtained', 'at', 'rhic', 'it', 'also', 'discusses', 'some', 'aspects', 'of', 'the', 'corresponding', 'electromagnetic', 'interactions', 'in', 'pp', 'and', 'pbarp', 'collisions']] | [-0.09247781468841892, 0.19086565277449644, -0.1893422200922102, 0.14616807866752005, 0.004822162356084356, -0.027975382892271645, -0.1444490414399367, 0.3234455487601316, -0.18189662508666515, -0.21302907111553046, -0.10283082056020458, -0.4252568834389632, 0.017338490686737575, 0.1849841191791571, 0.08562022297141644, 0.049646226975780264, 0.24230673656655619, 0.008368722019860378, -0.020517872610630896, -0.2587506783624681, 0.29515197517601055, 0.16916616490254036, 0.22398837784735057, 0.2512626260554848, 0.03482737209504613, 0.14907812368339643, -0.07994760676788595, -0.07532237747755761, -0.20293118976629698, 0.09164956308981906, 0.36561248265206814, 0.07285171049611214, 0.12785294924217921, -0.4014346953481436, -0.028401677182186037, 0.06977019552141428, 0.08088339352980256, 0.122572894852895, -0.10505729817445032, -0.33589109692436, 0.10603536042169882, -0.2683704050186162, -0.11087073077662633, 0.018607438470308598, 0.000698552610209355, 0.05535944622869675, -0.24171745246992662, 0.01642500396813445, 0.01009791910361785, 0.15777329341150248, -0.04428743223588054, -0.2374085375609306, -0.014092349751780812, -0.07610321877739178, 0.11472644069446968, 0.10004793626901048, 0.17726765487056512, -0.19209540354159588, -0.2094780019699381, 0.40999693960811084, 0.1181728056846903, -0.09528553707954976, 0.287865036023924, -0.2448953869394385, -0.20435505417677072, 0.12593163052000678, 0.33076155798223156, 0.022874964616046503, -0.27330107417387456, 0.08741804770901442, -0.020798976264464166, 0.09938770287688105, 0.1670858029347773, 0.10952066446099287, 0.10836262872012761, 0.2188428771467163, -0.122302804966099, 0.092588549775358, 0.0072342195780947804, -0.03688510539583289, -0.5637912245897146, -0.04864200005809275, -0.07012762820634705, 0.010818053395129167, 0.03450763861026364, 0.06585258195320001, 0.3481833536464434, 0.16778198013511988, 0.3019315898776628, -0.03545275270544852, 0.3022373033185991, 0.04817187169996592, -0.04790217658648124, 0.11980803318035144, 0.3239431950642029, 0.14562759039780268, 0.34774647862650454, -0.23988918078920016, 0.03365988788741211, 0.11207960965111852] |
710.4028 | Some series and integrals involving the Riemann zeta function, binomial
coefficients and the harmonic numbers. Volume IV | In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.
| math.HO | in this series of seven papers predominantly by means of elementary analysis we establish a number of identities related to the riemann zeta function whilst this paper is mainly expository some of the formulae reported in it are believed to be new and the paper may also be of interest specifically due to the fact that most of the various identities have been derived by elementary methods | [['in', 'this', 'series', 'of', 'seven', 'papers', 'predominantly', 'by', 'means', 'of', 'elementary', 'analysis', 'we', 'establish', 'a', 'number', 'of', 'identities', 'related', 'to', 'the', 'riemann', 'zeta', 'function', 'whilst', 'this', 'paper', 'is', 'mainly', 'expository', 'some', 'of', 'the', 'formulae', 'reported', 'in', 'it', 'are', 'believed', 'to', 'be', 'new', 'and', 'the', 'paper', 'may', 'also', 'be', 'of', 'interest', 'specifically', 'due', 'to', 'the', 'fact', 'that', 'most', 'of', 'the', 'various', 'identities', 'have', 'been', 'derived', 'by', 'elementary', 'methods']] | [-0.11530844273554759, 0.09796234634724435, -0.11181551533570486, 0.08285223662596085, -0.10019141775486406, -0.07045825119755829, 0.001738097848815482, 0.31895867048470833, -0.26462381259267176, -0.33202195352415986, 0.14744018157596575, -0.2559475443923651, -0.22675369485496863, 0.2414655297883411, -0.07703294169936162, 0.02793497772393887, 0.004810208249698157, 0.02656108716766892, -0.04363426519905342, -0.30633718591989645, 0.36903676232184046, 0.02141095799352251, 0.22950457837154617, 0.09362406602629753, 0.016599788803106814, -0.051795356267534974, -0.12081624449355834, 0.015973334025188503, -0.11335698942318924, 0.1965965145587254, 0.26960807536214365, 0.10351958150502795, 0.28993866152004966, -0.4178510364701054, -0.16775346978275635, 0.1099543594824734, 0.19732889588296748, 0.08244064319600809, -0.043593217396358054, -0.233937191929835, 0.12298338900584338, -0.17212058239574754, -0.11378449098721369, -0.07115564289600101, 0.03544019835431184, 0.06641828557198394, -0.18374236443761124, 0.04907473093272298, 0.08099632804045703, 0.08167863368932436, -0.03087533965407968, -0.148290196252959, 0.038993890416363614, 0.09878097657364474, 0.16383473701260762, 0.02020909290399347, 0.040877069506460605, -0.11442601549397431, -0.08200953381810226, 0.3663112541188055, -0.003367277863087939, -0.20124467017490472, 0.19949098930471756, -0.14208516757935286, -0.20912745483775638, 0.1306870207955032, 0.13827305175920032, 0.15634538947062485, -0.23816977445480983, 0.07164386397057365, -0.08534707949121496, 0.08678917135042485, 0.08112536022550802, 0.03780368293649448, 0.1905557096296393, 0.06179735582989099, -0.02625887847588912, 0.16479074014976286, -0.00984903444438728, -0.055438731505132434, -0.30756636515760155, -0.19097129919969325, -0.19515685026825808, 0.04476317543876983, -0.005288883937486281, -0.1452647893369865, 0.412656592955785, 0.16589506411292493, 0.18187849815073076, 0.03138844425609307, 0.24487331184322264, 0.16966137813696108, 0.08632345867357147, -0.0008725327884416972, 0.21814804887894276, 0.1649707533078574, 0.058915188795593286, -0.11575055822257453, 0.09453293450399121, 0.10555030840210992] |
710.4029 | An analytical model of surface mass densities of cold dark matter haloes
- with an application to MACHO microlensing optical depths | The cold dark matter (CDM) scenario generically predicts the existence of
triaxial dark matter haloes which contain notable amounts of substructure.
However, analytical halo models with smooth, spherically symmetric density
profiles are routinely adopted in the modelling of light propagation effects
through such objects. In this paper, we address the biases introduced by this
procedure by comparing the surface mass densities of actual N-body haloes
against the widely used analytical model suggested by Navarro, Frenk and White
(1996) (NFW).
We conduct our analysis in the redshift range of 0.0 - 1.5. In cluster sized
haloes, we find that triaxiality can cause scatter in the surface mass density
of the haloes up to sigma_+ = +60% and sigma_- = -70%, where the 1-sigma limits
are relative to the analytical NFW model given value. Subhaloes can increase
this scatter to sigma_+ = +70% and sigma_- = -80%. In galaxy sized haloes, the
triaxial scatter can be as high as sigma_+ = +80% and sigma_- = -70%, and with
subhaloes the values can change to sigma_+ = +40% and sigma_- = -80%.
We present an analytical model for the surface mass density scatter as a
function of distance to the halo centre, halo redshift and halo mass. The
analytical description enables one to investigate the reliability of results
obtained with simplified halo models. Additionally, it provides the means to
add simulated surface density scatter to analytical density profiles. As an
example, we discuss the impact of our results on the calculation of
microlensing optical depths for MACHOs in CDM haloes.
| astro-ph | the cold dark matter cdm scenario generically predicts the existence of triaxial dark matter haloes which contain notable amounts of substructure however analytical halo models with smooth spherically symmetric density profiles are routinely adopted in the modelling of light propagation effects through such objects in this paper we address the biases introduced by this procedure by comparing the surface mass densities of actual nbody haloes against the widely used analytical model suggested by navarro frenk and white 1996 nfw we conduct our analysis in the redshift range of 00 15 in cluster sized haloes we find that triaxiality can cause scatter in the surface mass density of the haloes up to sigma_ 60 and sigma_ 70 where the 1sigma limits are relative to the analytical nfw model given value subhaloes can increase this scatter to sigma_ 70 and sigma_ 80 in galaxy sized haloes the triaxial scatter can be as high as sigma_ 80 and sigma_ 70 and with subhaloes the values can change to sigma_ 40 and sigma_ 80 we present an analytical model for the surface mass density scatter as a function of distance to the halo centre halo redshift and halo mass the analytical description enables one to investigate the reliability of results obtained with simplified halo models additionally it provides the means to add simulated surface density scatter to analytical density profiles as an example we discuss the impact of our results on the calculation of microlensing optical depths for machos in cdm haloes | [['the', 'cold', 'dark', 'matter', 'cdm', 'scenario', 'generically', 'predicts', 'the', 'existence', 'of', 'triaxial', 'dark', 'matter', 'haloes', 'which', 'contain', 'notable', 'amounts', 'of', 'substructure', 'however', 'analytical', 'halo', 'models', 'with', 'smooth', 'spherically', 'symmetric', 'density', 'profiles', 'are', 'routinely', 'adopted', 'in', 'the', 'modelling', 'of', 'light', 'propagation', 'effects', 'through', 'such', 'objects', 'in', 'this', 'paper', 'we', 'address', 'the', 'biases', 'introduced', 'by', 'this', 'procedure', 'by', 'comparing', 'the', 'surface', 'mass', 'densities', 'of', 'actual', 'nbody', 'haloes', 'against', 'the', 'widely', 'used', 'analytical', 'model', 'suggested', 'by', 'navarro', 'frenk', 'and', 'white', '1996', 'nfw', 'we', 'conduct', 'our', 'analysis', 'in', 'the', 'redshift', 'range', 'of', '00', '15', 'in', 'cluster', 'sized', 'haloes', 'we', 'find', 'that', 'triaxiality', 'can', 'cause', 'scatter', 'in', 'the', 'surface', 'mass', 'density', 'of', 'the', 'haloes', 'up', 'to', 'sigma_', '60', 'and', 'sigma_', '70', 'where', 'the', '1sigma', 'limits', 'are', 'relative', 'to', 'the', 'analytical', 'nfw', 'model', 'given', 'value', 'subhaloes', 'can', 'increase', 'this', 'scatter', 'to', 'sigma_', '70', 'and', 'sigma_', '80', 'in', 'galaxy', 'sized', 'haloes', 'the', 'triaxial', 'scatter', 'can', 'be', 'as', 'high', 'as', 'sigma_', '80', 'and', 'sigma_', '70', 'and', 'with', 'subhaloes', 'the', 'values', 'can', 'change', 'to', 'sigma_', '40', 'and', 'sigma_', '80', 'we', 'present', 'an', 'analytical', 'model', 'for', 'the', 'surface', 'mass', 'density', 'scatter', 'as', 'a', 'function', 'of', 'distance', 'to', 'the', 'halo', 'centre', 'halo', 'redshift', 'and', 'halo', 'mass', 'the', 'analytical', 'description', 'enables', 'one', 'to', 'investigate', 'the', 'reliability', 'of', 'results', 'obtained', 'with', 'simplified', 'halo', 'models', 'additionally', 'it', 'provides', 'the', 'means', 'to', 'add', 'simulated', 'surface', 'density', 'scatter', 'to', 'analytical', 'density', 'profiles', 'as', 'an', 'example', 'we', 'discuss', 'the', 'impact', 'of', 'our', 'results', 'on', 'the', 'calculation', 'of', 'microlensing', 'optical', 'depths', 'for', 'machos', 'in', 'cdm', 'haloes']] | [-0.06696361318033943, 0.0996561241637767, -0.11281833112344987, 0.1358445686867438, -0.0725324644365408, -0.037033604225613206, 0.006137815152478945, 0.39077985996470577, -0.1361158717078187, -0.44402933237893927, -0.011438857474375607, -0.2916014143716424, -0.044207350345283385, 0.18081850494397053, -0.03159822073611131, 0.05444417419171406, 0.0036640644144837653, -0.07264817044943489, -0.0914992267131428, -0.2853257448690373, 0.29842022899162746, 0.08103315138836362, 0.19819637490887074, -0.0014033214557134816, 0.048708531805224935, -0.05672112055077788, -0.04313422392513002, 0.0034650069287782835, -0.20215144285556297, 0.034245826632550526, 0.2250986625735271, 0.1153293167627717, 0.19249538809714478, -0.380433507066036, -0.2277071864133881, 0.10730732215245464, 0.2092241947945783, 0.10472581858771117, -0.11843658170959491, -0.2694315778362873, 0.06978896635607065, -0.25624836265248424, -0.19813382007076494, 0.01580995032488699, 0.03225379329805653, 0.03528757845643052, -0.20163777122657084, 0.24814801956076296, -0.019620245334643245, -0.007390576616613074, -0.06756712032403166, -0.13393135133176862, -0.08448551510058853, 0.010907460137405582, 0.05389301782152841, 0.02156922996472267, 0.2530704899559609, -0.11468496354721155, 0.04363706979934397, 0.4211203257551871, -0.09011306624855817, -0.12215179951571402, 0.16928732966546028, -0.15546292524572158, -0.10672826364245866, 0.08881205084523366, 0.17019421349358443, 0.04704331824060289, -0.11333200979542228, 0.056514657841621706, -0.04346057947728813, 0.23880080647640786, 0.07693874711666497, -0.039325905647333015, 0.32742179873504584, 0.0929360726356296, 0.022993350882203348, 0.029476370247955914, -0.18805405423477023, -0.0436405508042944, -0.23402055426906312, -0.09260896582066291, -0.10992654973937709, 0.02544856109072439, -0.1497764823392748, -0.1156576004164714, 0.34069828137439945, 0.1466904220850988, 0.2586909775216613, 0.1506680696935115, 0.34378116923260443, 0.10228191282541017, 0.06063388346040982, 0.09483194103907613, 0.27102087603904484, 0.20796420249802572, -0.007527858687324389, -0.2111918117884817, 0.024105786835970058, -0.06582503125818837] |
710.403 | From DNA sequence analysis to modeling replication in the human genome | We explore the large-scale behavior of nucleotide compositional strand
asymmetries along human chromosomes. As we observe for 7 of 9 origins of
replication experimentally identified so far, the (TA+GC) skew displays rather
sharp upward jumps, with a linear decreasing profile in between two successive
jumps. We present a model of replication with well positioned replication
origins and random terminations that accounts for the observed characteristic
serrated skew profiles. We succeed in identifying 287 pairs of putative
adjacent replication origins with an origin spacing approximately 1-2 Mbp that
are likely to correspond to replication foci observed in interphase nuclei and
recognized as stable structures that persist throughout subsequent cell
generations.
| q-bio.GN | we explore the largescale behavior of nucleotide compositional strand asymmetries along human chromosomes as we observe for 7 of 9 origins of replication experimentally identified so far the tagc skew displays rather sharp upward jumps with a linear decreasing profile in between two successive jumps we present a model of replication with well positioned replication origins and random terminations that accounts for the observed characteristic serrated skew profiles we succeed in identifying 287 pairs of putative adjacent replication origins with an origin spacing approximately 12 mbp that are likely to correspond to replication foci observed in interphase nuclei and recognized as stable structures that persist throughout subsequent cell generations | [['we', 'explore', 'the', 'largescale', 'behavior', 'of', 'nucleotide', 'compositional', 'strand', 'asymmetries', 'along', 'human', 'chromosomes', 'as', 'we', 'observe', 'for', '7', 'of', '9', 'origins', 'of', 'replication', 'experimentally', 'identified', 'so', 'far', 'the', 'tagc', 'skew', 'displays', 'rather', 'sharp', 'upward', 'jumps', 'with', 'a', 'linear', 'decreasing', 'profile', 'in', 'between', 'two', 'successive', 'jumps', 'we', 'present', 'a', 'model', 'of', 'replication', 'with', 'well', 'positioned', 'replication', 'origins', 'and', 'random', 'terminations', 'that', 'accounts', 'for', 'the', 'observed', 'characteristic', 'serrated', 'skew', 'profiles', 'we', 'succeed', 'in', 'identifying', '287', 'pairs', 'of', 'putative', 'adjacent', 'replication', 'origins', 'with', 'an', 'origin', 'spacing', 'approximately', '12', 'mbp', 'that', 'are', 'likely', 'to', 'correspond', 'to', 'replication', 'foci', 'observed', 'in', 'interphase', 'nuclei', 'and', 'recognized', 'as', 'stable', 'structures', 'that', 'persist', 'throughout', 'subsequent', 'cell', 'generations']] | [-0.16173762257622676, 0.1879370653953595, -0.021461374790373224, 0.10127205076019487, -0.012580078349586713, -0.16921245276979688, 0.08512716637751847, 0.44063496912174205, -0.2911686137301364, -0.27479186472138045, 0.04721511723861719, -0.2813348089171254, -0.15483965612603007, 0.12056407594354823, -0.03622963021216155, -0.0501258466090938, 0.019470527819875214, -0.025889854985979146, 0.009633917433718496, -0.19310954407383515, 0.21600467239127116, 0.023411168268433324, 0.2611518223391074, -0.012744664629078924, 0.09349306784915151, -0.02228286225764114, -0.017943959924633855, 0.022275067089746397, -0.16013896751051274, 0.08185235599564665, 0.25554175207313773, 0.09612265044523627, 0.2316564841678849, -0.45097937431462387, -0.17117281417207172, 0.091573945231546, 0.20300064802049073, 0.11385884113540803, -0.06183745854327248, -0.2047449615094121, 0.10050449354781045, -0.10202528445774482, -0.17160183516400004, 0.004814895456311879, 0.062120716665285056, 0.044268748630269396, -0.1846430079097411, 0.11470566337272801, 0.039561831496906015, 0.1378295594606445, -0.08752226585056633, -0.15320068084488245, -0.06280751732669564, 0.15679941908011744, 0.0706056429200409, -0.02950558931614203, 0.15781153444442209, -0.0525642059305769, -0.16566732223792416, 0.3263617175872679, -0.036335799470112694, -0.10050426168298279, 0.177337572864619, -0.19206839722701935, -0.13069284176324597, 0.1828241525562825, 0.11747391392580336, 0.04245174550278871, -0.1412458519183996, -0.032140538407407736, 0.0017506678338611015, 0.16211938856307556, 0.14947316778125241, 0.02553562548860942, 0.2567742358789676, 0.16606921268868502, 0.015499849187175709, 0.1362617563292453, -0.16998412446291358, -0.14349030073477748, -0.256914569866947, -0.11799147951252828, -0.08553333387465466, 0.031857367027206, -0.0722916046482472, -0.20204874202264128, 0.37835079092635876, 0.0902590374376073, 0.2764960976179551, 0.052745936744570454, 0.1951297875170389, -0.0032755339332787253, 0.11972300711884734, 0.044986332508011, 0.17992583933044914, 0.10336415136784867, 0.08475795106669129, -0.21628854069556971, 0.1705001746455242, -0.01238760601134143] |
710.4031 | On the critical exponent of generalized Thue-Morse words | For certain generalized Thue-Morse words t, we compute the "critical
exponent", i.e., the supremum of the set of rational numbers that are exponents
of powers in t, and determine exactly the occurrences of powers realizing it.
| math.CO cs.DM | for certain generalized thuemorse words t we compute the critical exponent ie the supremum of the set of rational numbers that are exponents of powers in t and determine exactly the occurrences of powers realizing it | [['for', 'certain', 'generalized', 'thuemorse', 'words', 't', 'we', 'compute', 'the', 'critical', 'exponent', 'ie', 'the', 'supremum', 'of', 'the', 'set', 'of', 'rational', 'numbers', 'that', 'are', 'exponents', 'of', 'powers', 'in', 't', 'and', 'determine', 'exactly', 'the', 'occurrences', 'of', 'powers', 'realizing', 'it']] | [-0.21816534507605764, 0.21007405764733753, -0.010129031472994635, 0.0774942964522375, -0.02833085619204212, -0.12820656494134003, 0.1082792602893379, 0.25503859507605536, -0.3440806187637564, -0.20849790484903175, 0.056831210421579376, -0.3227798822077198, -0.14737232650319734, 0.2279628457310739, 0.009092390437015437, 0.09451938821520242, -0.07273869873541924, 0.1749125184594757, -0.054726000739416726, -0.274441826933374, 0.34573651929228316, -0.043658464205994583, 0.20342222383866707, 0.006884441051321725, 0.10214074990815586, -0.036137273910248444, -0.013684876366621919, -0.004590815127206345, -0.1989328099179046, 0.0662955986853275, 0.2717427045313848, 0.09762309543374512, 0.2411540641138951, -0.28410010329551166, -0.14867419198465845, 0.24484512486702037, 0.11586563313742065, -0.041508370590034045, 0.0868431255997469, -0.15683837035774356, 0.2061529049468744, -0.1399879371229973, -0.16914777050260454, -0.09599696323534267, 0.13726255375271043, 0.11603829047332208, -0.3098388646612875, 0.03360602724003709, 0.10264800861477852, 0.08716785542977352, -0.03424852146094458, -0.14738429734845543, 0.02381804045419105, 0.15185878172309863, 0.03612328164227721, -0.02165508874329842, 0.062083925883699626, -0.1323973844345245, -0.14110428037949735, 0.35301216950433123, -0.0009493472365041574, -0.18852302473452356, 0.06323954711357753, -0.2320754694648915, -0.1327428439916629, 0.11266612773761153, 0.07811061468803221, 0.13167404155764315, -0.027838462627389364, 0.16082336898802574, -0.07428451177353661, 0.11511207743832427, 0.21159900796030545, 0.06938343493837035, 0.1561340998030371, 0.02193142554541636, 0.02749434108328488, 0.16903092903602454, -0.026567504611901112, -0.08092932819595768, -0.3634840701189306, -0.1787917159187297, -0.21949108027749592, 0.1093811557835175, -0.170019664439072, -0.19660744433187777, 0.3949397844779823, 0.14355843648728397, 0.23068703237610558, 0.17283619800582528, 0.16613369579944345, 0.20070954088563062, 0.02931080953890665, 0.09098255135015482, 0.06203580031999283, 0.12571048172604707, 0.004801577215807306, -0.21417954155347413, 0.05435654603772693, 0.21873167941036323] |
710.4032 | Some series and integrals involving the Riemann zeta function, binomial
coefficients and the harmonic numbers. Volume VI | In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.
| math.HO | in this series of seven papers predominantly by means of elementary analysis we establish a number of identities related to the riemann zeta function whilst this paper is mainly expository some of the formulae reported in it are believed to be new and the paper may also be of interest specifically due to the fact that most of the various identities have been derived by elementary methods | [['in', 'this', 'series', 'of', 'seven', 'papers', 'predominantly', 'by', 'means', 'of', 'elementary', 'analysis', 'we', 'establish', 'a', 'number', 'of', 'identities', 'related', 'to', 'the', 'riemann', 'zeta', 'function', 'whilst', 'this', 'paper', 'is', 'mainly', 'expository', 'some', 'of', 'the', 'formulae', 'reported', 'in', 'it', 'are', 'believed', 'to', 'be', 'new', 'and', 'the', 'paper', 'may', 'also', 'be', 'of', 'interest', 'specifically', 'due', 'to', 'the', 'fact', 'that', 'most', 'of', 'the', 'various', 'identities', 'have', 'been', 'derived', 'by', 'elementary', 'methods']] | [-0.11530844273554759, 0.09796234634724435, -0.11181551533570486, 0.08285223662596085, -0.10019141775486406, -0.07045825119755829, 0.001738097848815482, 0.31895867048470833, -0.26462381259267176, -0.33202195352415986, 0.14744018157596575, -0.2559475443923651, -0.22675369485496863, 0.2414655297883411, -0.07703294169936162, 0.02793497772393887, 0.004810208249698157, 0.02656108716766892, -0.04363426519905342, -0.30633718591989645, 0.36903676232184046, 0.02141095799352251, 0.22950457837154617, 0.09362406602629753, 0.016599788803106814, -0.051795356267534974, -0.12081624449355834, 0.015973334025188503, -0.11335698942318924, 0.1965965145587254, 0.26960807536214365, 0.10351958150502795, 0.28993866152004966, -0.4178510364701054, -0.16775346978275635, 0.1099543594824734, 0.19732889588296748, 0.08244064319600809, -0.043593217396358054, -0.233937191929835, 0.12298338900584338, -0.17212058239574754, -0.11378449098721369, -0.07115564289600101, 0.03544019835431184, 0.06641828557198394, -0.18374236443761124, 0.04907473093272298, 0.08099632804045703, 0.08167863368932436, -0.03087533965407968, -0.148290196252959, 0.038993890416363614, 0.09878097657364474, 0.16383473701260762, 0.02020909290399347, 0.040877069506460605, -0.11442601549397431, -0.08200953381810226, 0.3663112541188055, -0.003367277863087939, -0.20124467017490472, 0.19949098930471756, -0.14208516757935286, -0.20912745483775638, 0.1306870207955032, 0.13827305175920032, 0.15634538947062485, -0.23816977445480983, 0.07164386397057365, -0.08534707949121496, 0.08678917135042485, 0.08112536022550802, 0.03780368293649448, 0.1905557096296393, 0.06179735582989099, -0.02625887847588912, 0.16479074014976286, -0.00984903444438728, -0.055438731505132434, -0.30756636515760155, -0.19097129919969325, -0.19515685026825808, 0.04476317543876983, -0.005288883937486281, -0.1452647893369865, 0.412656592955785, 0.16589506411292493, 0.18187849815073076, 0.03138844425609307, 0.24487331184322264, 0.16966137813696108, 0.08632345867357147, -0.0008725327884416972, 0.21814804887894276, 0.1649707533078574, 0.058915188795593286, -0.11575055822257453, 0.09453293450399121, 0.10555030840210992] |
710.4033 | Application of Groebner bases to the cup-length of oriented Grassmann
manifolds | We determine the cup-length of some oriented Grassmann manifolds by finding a
Groebner basis associated with a certain subring of the cohomology of them. As
its applications, we provide not only a lower but also an upper bound for the
LS-category of some oriented Grassmann manifolds. We also study the immersion
problem of them.
| math.AT | we determine the cuplength of some oriented grassmann manifolds by finding a groebner basis associated with a certain subring of the cohomology of them as its applications we provide not only a lower but also an upper bound for the lscategory of some oriented grassmann manifolds we also study the immersion problem of them | [['we', 'determine', 'the', 'cuplength', 'of', 'some', 'oriented', 'grassmann', 'manifolds', 'by', 'finding', 'a', 'groebner', 'basis', 'associated', 'with', 'a', 'certain', 'subring', 'of', 'the', 'cohomology', 'of', 'them', 'as', 'its', 'applications', 'we', 'provide', 'not', 'only', 'a', 'lower', 'but', 'also', 'an', 'upper', 'bound', 'for', 'the', 'lscategory', 'of', 'some', 'oriented', 'grassmann', 'manifolds', 'we', 'also', 'study', 'the', 'immersion', 'problem', 'of', 'them']] | [-0.2081488138883961, 0.051927424228105576, -0.07682666757695929, 0.08935850796600182, -0.10750813420896453, -0.11610314115467998, 0.04374732430679379, 0.3725081806554011, -0.2963197443772245, -0.27020790572795605, 0.16723321258366383, -0.2274184264242649, -0.1822793522366771, 0.2290392900230708, -0.11459981725999603, -0.008111701520478905, 0.04197539868160944, 0.13641518850743994, -0.12040971212640957, -0.3139636343758967, 0.4029692103741346, -0.007766076984504859, 0.18134846012711664, 0.09711322148709937, 0.08778944318355233, -0.03520084784745618, 0.013943741667187877, 0.012426559796073922, -0.19602408151021572, 0.23509810140347798, 0.2638191513510214, 0.14061166449553436, 0.1862088083806965, -0.3943149348789895, -0.1152901159323476, 0.16861712120266426, 0.13096383504604023, 0.05135994946532366, -0.04388516522185118, -0.24098724219085718, 0.06613576051744598, -0.15417656116187572, -0.17622410209366568, -0.09994228956875978, 0.035098201491766505, 0.00810942224106165, -0.1806252440567025, -0.0715714264240685, 0.12977627288826085, 0.12675831397441303, -0.08266630704747513, -0.1473097727737493, -0.05406996514648199, 0.1014889186869065, -0.03989358603333434, 0.0552538777830907, 0.08224348907565905, -0.13107242380027417, -0.13333369826001149, 0.352402168981455, -0.052143172128126025, -0.27264888410421984, 0.1190162812601085, -0.11185934328198156, -0.18946174133775961, 0.11788963440253779, 0.1230472064818497, 0.20702311879506818, -0.07334891323828036, 0.13210221471402933, -0.14619065696994463, 0.05587045751787998, 0.08628219588556224, 0.047469418996048195, 0.14367341088924418, 0.08897384848225759, 0.15821673393387486, 0.16389906285675587, -0.016662702216611553, -0.01135125835598619, -0.3387875299969757, -0.24641097431541076, -0.15882558406641087, 0.1256742332849104, -0.14293591636750433, -0.204421265706144, 0.3823385196565478, 0.07610040861699316, 0.232767135111822, 0.10694826247722462, 0.2465889885055798, 0.09160460217605794, 0.0315596015209815, 0.09496578601775346, 0.15936566053359355, 0.22001790504092006, -0.021008941482890536, -0.11604062360021528, -0.008660333791609716, 0.16505413405873157] |
710.4034 | On the stability of AdS black strings | We explore via linearized perturbation theory the Gregory-Laflamme
instability of the black string solutions of Einstein's equations with negative
cosmological constant recently discussed in literature. Our results indicate
that the black strings whose conformal infinity is the product of time and
$S^{d-3}\times S^1$ are stable for large enough values of the event horizon
radius. All topological black strings are also classically stable. We argue
that this provides an explicit realization of the Gubser-Mitra conjecture.
| hep-th | we explore via linearized perturbation theory the gregorylaflamme instability of the black string solutions of einsteins equations with negative cosmological constant recently discussed in literature our results indicate that the black strings whose conformal infinity is the product of time and sd3times s1 are stable for large enough values of the event horizon radius all topological black strings are also classically stable we argue that this provides an explicit realization of the gubsermitra conjecture | [['we', 'explore', 'via', 'linearized', 'perturbation', 'theory', 'the', 'gregorylaflamme', 'instability', 'of', 'the', 'black', 'string', 'solutions', 'of', 'einsteins', 'equations', 'with', 'negative', 'cosmological', 'constant', 'recently', 'discussed', 'in', 'literature', 'our', 'results', 'indicate', 'that', 'the', 'black', 'strings', 'whose', 'conformal', 'infinity', 'is', 'the', 'product', 'of', 'time', 'and', 'sd3times', 's1', 'are', 'stable', 'for', 'large', 'enough', 'values', 'of', 'the', 'event', 'horizon', 'radius', 'all', 'topological', 'black', 'strings', 'are', 'also', 'classically', 'stable', 'we', 'argue', 'that', 'this', 'provides', 'an', 'explicit', 'realization', 'of', 'the', 'gubsermitra', 'conjecture']] | [-0.20686776057676706, 0.14470818041913908, -0.08398690754675293, 0.11584806110556811, -0.08925938531628823, -0.13868792213448514, -0.038336579738924764, 0.27569027326694906, -0.19663797858273227, -0.2337441073654041, 0.13724803606092878, -0.2935284380641549, -0.13617232393422354, 0.176632869715981, -0.032949628416857085, 0.06374188109914204, 0.03620704703594316, 0.0699762606559551, -0.07682372455657396, -0.2844987894210658, 0.36784800989649014, 0.07642104368248623, 0.2539116747115981, 0.025960278327334416, 0.08766887501625294, -0.06155571124631248, 0.006704471290928044, 0.06023534493240183, -0.23507111249726795, 0.0811910579134136, 0.23603483587375854, 0.13352715844058827, 0.19118462245247952, -0.4368491128138075, -0.21059799608009014, 0.057104990115925056, 0.14834698273685493, 0.21724340884606608, -0.08536709097137496, -0.2714145502190374, 0.15431156536972482, -0.1907107702277805, -0.18763084542516567, -0.06628184751543688, 0.0920333242273494, -0.025683116792918067, -0.17906198030567333, 0.10106670842880754, 0.06263668477943499, -0.05640675160676649, -0.13578037842980598, -0.03299134107281084, -0.03160179547697612, 0.05828891466180348, 0.18086385379596423, 0.023037681349693504, 0.09534757501407437, -0.09672693723544784, -0.14036731585247875, 0.3209309651427073, -0.07779047571837086, -0.18774800368087136, 0.1390799922001076, -0.18411988030149512, -0.1250991904151256, 0.12073169450900734, 0.0779844917267663, 0.21522370996336415, -0.07178029068426726, 0.18373831413759634, -0.04295000985539072, 0.16364115155429568, 0.13075878600628205, 0.04669895587163684, 0.33017630780702584, 0.08579205663249612, 0.041784149046017696, 0.13429343628646065, -0.0065357737906583365, -0.13758523793482821, -0.39512033602350377, -0.137347977225707, -0.12301066341931127, 0.10349195125219349, -0.20763763461293086, -0.24338120192110743, 0.290605496079342, 0.12916216186837018, 0.1919014173024015, 0.08233731598529505, 0.1936215694534452, 0.11669922184537178, 0.022250212336673517, 0.10905834808562921, 0.30828542414134086, 0.1362768554906935, 0.09208948365954861, -0.22561675191167996, -0.05833537710913495, 0.15087070782694403] |
710.4035 | Pairs of commuting Hamiltonians quadratic in momenta | In the case of two degree system the pairs of quadratic in momenta
Hamiltonians commuting according the standard Poisson bracket are considered.
The new many-parametrical families of such pairs are founded. The universal
method of constructing the full solution of Hamilton - Jacobi equation in terms
of integrals on some algebraic curve is proposed. For some examples this curve
is non-hyperelliptic covering over the elliptic curve.
| nlin.SI | in the case of two degree system the pairs of quadratic in momenta hamiltonians commuting according the standard poisson bracket are considered the new manyparametrical families of such pairs are founded the universal method of constructing the full solution of hamilton jacobi equation in terms of integrals on some algebraic curve is proposed for some examples this curve is nonhyperelliptic covering over the elliptic curve | [['in', 'the', 'case', 'of', 'two', 'degree', 'system', 'the', 'pairs', 'of', 'quadratic', 'in', 'momenta', 'hamiltonians', 'commuting', 'according', 'the', 'standard', 'poisson', 'bracket', 'are', 'considered', 'the', 'new', 'manyparametrical', 'families', 'of', 'such', 'pairs', 'are', 'founded', 'the', 'universal', 'method', 'of', 'constructing', 'the', 'full', 'solution', 'of', 'hamilton', 'jacobi', 'equation', 'in', 'terms', 'of', 'integrals', 'on', 'some', 'algebraic', 'curve', 'is', 'proposed', 'for', 'some', 'examples', 'this', 'curve', 'is', 'nonhyperelliptic', 'covering', 'over', 'the', 'elliptic', 'curve']] | [-0.22943422447133344, 0.041493339056614786, -0.09186025775852613, 0.06849405621505866, -0.0797274302385631, -0.11926328286062926, -0.04593604507681448, 0.3041876385686919, -0.2983533770311624, -0.2541323861805722, 0.04966033339042042, -0.29762775351991877, -0.15723505188361742, 0.300112916942453, -0.10675861841446022, 0.08768829712062143, 0.08524598188523669, 0.09718687130589387, -0.1209757902979618, -0.3329053519992158, 0.40008787700207904, -0.062790162381134, 0.20110755620407872, -0.024923331024183426, 0.13486060562718194, 0.034785125175403664, -0.012117084424971836, -0.05028596582008049, -0.11720023403177038, 0.12834491817920934, 0.251967960386537, 0.09508205104793888, 0.16146376985489042, -0.3177467705390882, -0.1759625138656702, 0.16057260548404884, 0.12246382814191747, 0.053941848236718215, 0.026020762137704878, -0.21214056161625194, 0.04802454852506344, -0.14439778301152728, -0.20439637172967196, -0.0661738267626788, 0.012234175883349963, 0.0950148571137106, -0.2129075544216903, 0.05235957445256645, 0.09226946215494536, 0.1326326408307068, -0.054188994952710345, -0.14439923753161565, -0.04202182534936583, 0.020758273065439425, -0.002649102796567604, -0.0049334122722939355, 0.019085410167463124, -0.07958539641913376, -0.1087486974975036, 0.38664687974960543, -0.026954344042678713, -0.25504802202340215, 0.08860873858793639, -0.11455087341892067, -0.13296697501209565, 0.16040434133901726, 0.13125732169646653, 0.17014409309558687, -0.1598124138545245, 0.15703317298175534, -0.09047094967900193, 0.04305173526518047, 0.0968365419539623, -0.010235244291834533, 0.15305272125260672, 0.05721139657543972, 0.05543979848152958, 0.12082184010068886, 0.010920604563580127, -0.18528417334891856, -0.397156560793519, -0.18928032639814774, -0.15072503831470385, 0.07613381703231425, -0.1514438454832998, -0.17683674863656051, 0.4866317114792764, 0.04098781375796534, 0.18929205104359426, 0.060607134917518124, 0.206530483730603, 0.17000129189909785, 0.0510245223849779, 0.08050409571296768, 0.1746087679393895, 0.17342202922372962, 0.02999541209828749, -0.17738359218856203, -0.01242813592125458, 0.17368489737418713] |
710.4036 | A SINFONI view of Galaxy Centers: Morphology and Kinematics of five
Nuclear Star Formation Rings | We present near-infrared (H- and K-band) integral-field observations of the
circumnuclear star formation rings in five nearby spiral galaxies. The data,
obtained at the Very Large Telescope with the SINFONI spectrograph, are used to
construct maps of various emission lines that reveal the individual star
forming regions ("hot spots") delineating the rings. We derive the
morphological parameters of the rings, and construct velocity fields of the
stars and the emission line gas. We propose a qualitative, but robust,
diagnostic for relative hot spot ages based on the intensity ratios of the
emission lines Brackett gamma, HeI, and [FeII]. Application of this diagnostic
to the data presented here provides tentative support for a scenario in which
star formation in the rings is triggered predominantly at two well-defined
regions close to, and downstream from, the intersection of dust lanes along the
bar with the inner Lindblad resonance.
| astro-ph | we present nearinfrared h and kband integralfield observations of the circumnuclear star formation rings in five nearby spiral galaxies the data obtained at the very large telescope with the sinfoni spectrograph are used to construct maps of various emission lines that reveal the individual star forming regions hot spots delineating the rings we derive the morphological parameters of the rings and construct velocity fields of the stars and the emission line gas we propose a qualitative but robust diagnostic for relative hot spot ages based on the intensity ratios of the emission lines brackett gamma hei and feii application of this diagnostic to the data presented here provides tentative support for a scenario in which star formation in the rings is triggered predominantly at two welldefined regions close to and downstream from the intersection of dust lanes along the bar with the inner lindblad resonance | [['we', 'present', 'nearinfrared', 'h', 'and', 'kband', 'integralfield', 'observations', 'of', 'the', 'circumnuclear', 'star', 'formation', 'rings', 'in', 'five', 'nearby', 'spiral', 'galaxies', 'the', 'data', 'obtained', 'at', 'the', 'very', 'large', 'telescope', 'with', 'the', 'sinfoni', 'spectrograph', 'are', 'used', 'to', 'construct', 'maps', 'of', 'various', 'emission', 'lines', 'that', 'reveal', 'the', 'individual', 'star', 'forming', 'regions', 'hot', 'spots', 'delineating', 'the', 'rings', 'we', 'derive', 'the', 'morphological', 'parameters', 'of', 'the', 'rings', 'and', 'construct', 'velocity', 'fields', 'of', 'the', 'stars', 'and', 'the', 'emission', 'line', 'gas', 'we', 'propose', 'a', 'qualitative', 'but', 'robust', 'diagnostic', 'for', 'relative', 'hot', 'spot', 'ages', 'based', 'on', 'the', 'intensity', 'ratios', 'of', 'the', 'emission', 'lines', 'brackett', 'gamma', 'hei', 'and', 'feii', 'application', 'of', 'this', 'diagnostic', 'to', 'the', 'data', 'presented', 'here', 'provides', 'tentative', 'support', 'for', 'a', 'scenario', 'in', 'which', 'star', 'formation', 'in', 'the', 'rings', 'is', 'triggered', 'predominantly', 'at', 'two', 'welldefined', 'regions', 'close', 'to', 'and', 'downstream', 'from', 'the', 'intersection', 'of', 'dust', 'lanes', 'along', 'the', 'bar', 'with', 'the', 'inner', 'lindblad', 'resonance']] | [-0.08353427825455458, 0.048489208612591025, -0.06475932876226204, 0.06462531266412859, -0.08581459689564232, -0.08485399457658159, 0.0159179612432189, 0.45022497308151477, -0.17806495934692693, -0.27478787708577923, 0.05699827415499322, -0.2747605298549451, -0.0076797758967712005, 0.18000316954667456, -0.008930058117779293, -0.06895509235689352, 0.05435869102205696, -0.08492166808934819, 0.0033341047418271675, -0.21157203550015954, 0.33588425049494053, 0.07014011111238908, 0.17273277751137983, 0.018909912547578327, 0.033035308156355185, -0.12820802855722863, -0.10669789173608196, -0.03671461889231256, -0.20505253314386837, 0.10130498061791576, 0.2609527036290744, 0.12737392761648214, 0.17622355712128096, -0.3848728184158721, -0.16664574894138837, 0.04551867470787517, 0.2005459333207972, 0.012519707623066317, -0.08045451228009087, -0.2957857678419557, 0.01950264050753723, -0.11808156357227086, -0.17598923162460842, 0.056878743706078365, 0.05049767216089471, 0.04882140255790075, -0.2698535909105478, 0.09009949209987475, 0.0014864574718903268, 0.16296783749271057, -0.10641830728132406, -0.05545712079660132, -0.07847905462961002, 0.07816658890645566, -0.027912482779055576, 0.034206921305378966, 0.22559617028796466, -0.1469232164162757, -0.02625324528118403, 0.3685851580077975, -0.11789930808390009, 0.010470479871306953, 0.2566538215213423, -0.2549583529876866, -0.17706385985145282, 0.18940365003293444, 0.1446787579434699, 0.14779392576551642, -0.12130258891667271, -0.01889273824274604, -0.05680125228225671, 0.15169906187160262, 0.05663506157760476, 0.07605971580307032, 0.3473207394570385, 0.06232788858871008, 0.02009664053932346, 0.15503919538399527, -0.304619487167882, -0.0650110203194721, -0.26165875735540134, -0.12046025825086339, -0.07555197647226781, 0.011194212972347078, -0.10491769911414253, -0.12004415331857986, 0.3705845851065784, 0.08773908177310408, 0.2725391724243246, 0.008171006406512882, 0.3136764660670326, 0.05618664905557345, 0.13269426992387864, 0.10253403104584792, 0.2742598372094076, 0.20026289828699725, 0.08661823764379169, -0.2720364686374649, 0.03970590991706684, 0.008702954916476175] |
710.4037 | Cross Section Constrained Top Quark Mass Measurement from Dilepton
Events at the Tevatron | We report the first top quark mass measurement that uses a cross section
constraint to improve the mass determination. This measurement is made with a
dilepton $t\bar{t}$ event sample collected with the CDF II detector. From a
data sample corresponding to an integrated luminosity of 1.2 fb$^{-1}$, we
measure a top quark mass of $\rm{170.7^{+4.2}_{-3.9}(stat)\pm2.6(syst)}$
$\rm{\pm2.4(theory) GeV/{\it{c}}^{2}}$. The measurement without the cross
section constraint results in a top quark mass of
$\rm{169.7^{+5.2}_{-4.9}(stat)\pm3.1(syst) GeV/{\it{c}}^{2}}$.
| hep-ex | we report the first top quark mass measurement that uses a cross section constraint to improve the mass determination this measurement is made with a dilepton tbart event sample collected with the cdf ii detector from a data sample corresponding to an integrated luminosity of 12 fb1 we measure a top quark mass of rm170742_39statpm26syst rmpm24theory gevitc2 the measurement without the cross section constraint results in a top quark mass of rm169752_49statpm31syst gevitc2 | [['we', 'report', 'the', 'first', 'top', 'quark', 'mass', 'measurement', 'that', 'uses', 'a', 'cross', 'section', 'constraint', 'to', 'improve', 'the', 'mass', 'determination', 'this', 'measurement', 'is', 'made', 'with', 'a', 'dilepton', 'tbart', 'event', 'sample', 'collected', 'with', 'the', 'cdf', 'ii', 'detector', 'from', 'a', 'data', 'sample', 'corresponding', 'to', 'an', 'integrated', 'luminosity', 'of', '12', 'fb1', 'we', 'measure', 'a', 'top', 'quark', 'mass', 'of', 'rm170742_39statpm26syst', 'rmpm24theory', 'gevitc2', 'the', 'measurement', 'without', 'the', 'cross', 'section', 'constraint', 'results', 'in', 'a', 'top', 'quark', 'mass', 'of', 'rm169752_49statpm31syst', 'gevitc2']] | [-0.0285237489733845, 0.12706493555507384, -0.10651709826882272, 0.06799506176920499, -0.08034143396242358, -0.06329909411450739, 0.09374248682904769, 0.32341191052075696, -0.13170819413190818, -0.3754038336577223, 0.010658670208238833, -0.3802909559214159, 0.13156282625106328, 0.150016309642096, 0.0353419862632804, 0.1535700012874954, 0.1916151148650576, 0.026074083076844758, -0.15637299513293648, -0.24239992404096378, 0.32864231476560235, 0.05170636281699819, 0.2442997288890183, 0.13387486330397866, 0.10590321928269558, 0.04476485903005061, -0.13100850968347752, -0.0897129362257307, -0.1099083520758166, 0.055405751651372105, 0.19338356361207415, 0.10049724966451964, 0.09993958196547978, -0.2872576805040059, 0.010848838236758156, 0.1238984653233167, 0.0900295029654551, 0.0777614713036147, -0.10977143160177066, -0.3183864175944644, 0.10704248647808152, -0.2639969915480298, -0.10927666693597156, 0.07829445879906416, 0.007754696033182828, -0.10966905184528407, -0.3679101496167919, 0.08896581679308678, -0.053465650170384085, 0.023933483253452268, -0.007731345954679829, -0.18837479763554738, -0.10477947613553089, -0.020593827569802457, 0.04773255676948739, 0.06470980020479628, 0.25167524468098934, -0.1495578984339612, -0.1789021699634545, 0.29010129133787227, -0.10657121147960424, -0.18151564734494863, 0.11187414493521347, -0.20967762044165283, -0.10977835934746134, 0.1264446704812786, 0.3229139792760286, 0.07267933334771763, -0.3112897648311713, 0.061731336022015006, -0.045741437989122724, 0.2777605999726802, 0.05016257789205102, 0.024560331866857323, 0.2040524572983165, 0.30031807405655, 0.03363941891310627, 0.04642228942761636, -0.20965284848695293, -0.00983617898515042, -0.430595601497985, -0.1554018456954509, -0.11631812618168838, 0.09283774961060022, -0.04773427436456961, -0.11858649608021711, 0.35642038804807646, 0.12497486360371113, 0.3839228983201525, 0.05029176330358228, 0.3315402163356981, 0.13760697600596092, 0.1177668379198568, 0.06058239930665449, 0.3304798119865796, 0.20002141305902862, 0.17166734489557497, -0.20335278149543548, 0.025903908446814644, 0.028433354996035203] |
710.4038 | Charged Higgs production in the flavored MSSM | In the Minimal Supersymmetric Standard Model squark mixing can significantly
change the pattern of charged-Higgs production. We find that non-minimal flavor
structures can have a sizeable impact on the charged-Higgs production cross
section, whereas charged-Higgs searches may be able to probe flavor structures
not accessible to rare kaon, bottom or charm experiments, and can invalidate
the assumption of minimal flavor violation.
| hep-ph | in the minimal supersymmetric standard model squark mixing can significantly change the pattern of chargedhiggs production we find that nonminimal flavor structures can have a sizeable impact on the chargedhiggs production cross section whereas chargedhiggs searches may be able to probe flavor structures not accessible to rare kaon bottom or charm experiments and can invalidate the assumption of minimal flavor violation | [['in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'squark', 'mixing', 'can', 'significantly', 'change', 'the', 'pattern', 'of', 'chargedhiggs', 'production', 'we', 'find', 'that', 'nonminimal', 'flavor', 'structures', 'can', 'have', 'a', 'sizeable', 'impact', 'on', 'the', 'chargedhiggs', 'production', 'cross', 'section', 'whereas', 'chargedhiggs', 'searches', 'may', 'be', 'able', 'to', 'probe', 'flavor', 'structures', 'not', 'accessible', 'to', 'rare', 'kaon', 'bottom', 'or', 'charm', 'experiments', 'and', 'can', 'invalidate', 'the', 'assumption', 'of', 'minimal', 'flavor', 'violation']] | [-0.08567567501736224, 0.3273925806441512, -0.04918113024141945, 0.21365029799950416, -0.12820323272684558, -0.18596125384181983, 0.09502078672168685, 0.29114342354176964, -0.2154359234283205, -0.2911865482809114, 0.0005789151067891326, -0.30075273189510476, 0.0043760235669457765, 0.11594458283917582, 0.04228485975658796, 0.07514654406819676, 0.11968920204872419, -0.02416749523006013, -0.06781302932764358, -0.21357985250041134, 0.24810870092545376, 0.03717320195597704, 0.22436623200468842, 0.245943971749273, -0.04954862529717264, -0.05864000425780894, -0.07121216350609101, -0.049799452612146, -0.09751783420208204, 0.03266397623925424, 0.17028813754193117, 0.1200104469173878, -0.014019924719802668, -0.38562295905535765, -0.15370811007489435, 0.24856781482421716, 0.2104433262720704, 0.13087488693322558, -0.055528770309689716, -0.31250184154534927, 0.10700353183859929, -0.2221401350068875, -0.07604191182791943, -0.1240051133161197, -0.08714678046888992, -0.1449740917620356, -0.33774107750352533, 0.07258424816698936, -0.06498440936757405, -0.021548637349280666, 0.10158844451710093, -0.18208786834138216, -0.11882838947301516, -0.005783010258904246, 0.16196017710255367, 0.0004854182217491516, 0.25057929373331, -0.1884486737019825, -0.21633093930841957, 0.4526121008103011, -0.13696709552161457, -0.25765290541849173, 0.17708121449304898, -0.24222722900726024, -0.17542966399876186, 0.11463203600256658, 0.2846976172972898, 0.04793053026479043, -0.19116788084206524, 0.16875764783987104, -0.06583988560424721, 0.21929306226217601, 0.11307680331643855, 0.05917087142340473, 0.2574027847712401, 0.20052649706724238, 0.02486940557671497, -0.013191430098529845, -0.07734185108747028, -0.08678666548040069, -0.43107068145525507, -0.09260994788320338, 0.007198332537912199, 0.08000062751516004, -0.06639056143586593, -0.11862180162160123, 0.39720419672180396, 0.10738581597240122, 0.2052777319474787, -0.023365127182275545, 0.2639234075628099, 0.027182952302401184, 0.154448327738181, 0.006361563857950148, 0.3605237592194901, 0.10075164205761107, 0.10922152047488289, -0.25857258650672726, 0.11606570879058516, 0.026250665702047895] |
710.4039 | SAXJ1712.6-3739: a persistent hard X-ray source as monitored with
INTEGRAL | The X-ray source SAXJ1712.6-3739 is a very weak Low Mass X-ray Binary
discovered in 1999 with BeppoSAX and located in the Galactic Center. This
region has been deeply investigated by the INTEGRAL satellite with an
unprecedented exposure time, giving us an unique opportunity to study the hard
X-ray behavior also for weak objects. The spectral results are based on the
systematic analysis of all INTEGRAL observations covering the source position
performed between February 2003 and October 2006. SAXJ1712.6-3739 did not shows
any flux variation along this period as well as compared to previous BeppoSAX
observation. Hence, to better constrain the physical parameters we combined
both instrument data. Long INTEGRAL monitoring reveals, for the first time,
that this X-ray burster is a weak persistent source, displaying a X-ray
spectrum extended to high energy and spending most of the time in a low
luminosity hard state. The broad-band spectrum is well modeled with a simple
Comptonized model with a seed photons temperature of ~0.5keV and an electron
temperature of ~24keV. The low mass accretion rate (~2x10^{-10} Msun/yr), the
long bursts recurrence time, the small sizes of the region emitting the seed
photons consisting with the inner disk radius and the high luminosity ratio in
the 40-100keV and 20-40keV band, are all features common to the Ultra Compact
source class.
| astro-ph | the xray source saxj171263739 is a very weak low mass xray binary discovered in 1999 with bepposax and located in the galactic center this region has been deeply investigated by the integral satellite with an unprecedented exposure time giving us an unique opportunity to study the hard xray behavior also for weak objects the spectral results are based on the systematic analysis of all integral observations covering the source position performed between february 2003 and october 2006 saxj171263739 did not shows any flux variation along this period as well as compared to previous bepposax observation hence to better constrain the physical parameters we combined both instrument data long integral monitoring reveals for the first time that this xray burster is a weak persistent source displaying a xray spectrum extended to high energy and spending most of the time in a low luminosity hard state the broadband spectrum is well modeled with a simple comptonized model with a seed photons temperature of 05kev and an electron temperature of 24kev the low mass accretion rate 2x1010 msunyr the long bursts recurrence time the small sizes of the region emitting the seed photons consisting with the inner disk radius and the high luminosity ratio in the 40100kev and 2040kev band are all features common to the ultra compact source class | [['the', 'xray', 'source', 'saxj171263739', 'is', 'a', 'very', 'weak', 'low', 'mass', 'xray', 'binary', 'discovered', 'in', '1999', 'with', 'bepposax', 'and', 'located', 'in', 'the', 'galactic', 'center', 'this', 'region', 'has', 'been', 'deeply', 'investigated', 'by', 'the', 'integral', 'satellite', 'with', 'an', 'unprecedented', 'exposure', 'time', 'giving', 'us', 'an', 'unique', 'opportunity', 'to', 'study', 'the', 'hard', 'xray', 'behavior', 'also', 'for', 'weak', 'objects', 'the', 'spectral', 'results', 'are', 'based', 'on', 'the', 'systematic', 'analysis', 'of', 'all', 'integral', 'observations', 'covering', 'the', 'source', 'position', 'performed', 'between', 'february', '2003', 'and', 'october', '2006', 'saxj171263739', 'did', 'not', 'shows', 'any', 'flux', 'variation', 'along', 'this', 'period', 'as', 'well', 'as', 'compared', 'to', 'previous', 'bepposax', 'observation', 'hence', 'to', 'better', 'constrain', 'the', 'physical', 'parameters', 'we', 'combined', 'both', 'instrument', 'data', 'long', 'integral', 'monitoring', 'reveals', 'for', 'the', 'first', 'time', 'that', 'this', 'xray', 'burster', 'is', 'a', 'weak', 'persistent', 'source', 'displaying', 'a', 'xray', 'spectrum', 'extended', 'to', 'high', 'energy', 'and', 'spending', 'most', 'of', 'the', 'time', 'in', 'a', 'low', 'luminosity', 'hard', 'state', 'the', 'broadband', 'spectrum', 'is', 'well', 'modeled', 'with', 'a', 'simple', 'comptonized', 'model', 'with', 'a', 'seed', 'photons', 'temperature', 'of', '05kev', 'and', 'an', 'electron', 'temperature', 'of', '24kev', 'the', 'low', 'mass', 'accretion', 'rate', '2x1010', 'msunyr', 'the', 'long', 'bursts', 'recurrence', 'time', 'the', 'small', 'sizes', 'of', 'the', 'region', 'emitting', 'the', 'seed', 'photons', 'consisting', 'with', 'the', 'inner', 'disk', 'radius', 'and', 'the', 'high', 'luminosity', 'ratio', 'in', 'the', '40100kev', 'and', '2040kev', 'band', 'are', 'all', 'features', 'common', 'to', 'the', 'ultra', 'compact', 'source', 'class']] | [-0.09842303528957629, 0.10482172562571039, -0.07256264488558184, 0.10101235035518316, -0.10018908853222891, -0.08609951511156601, 0.05582560496535939, 0.44027260365620463, -0.2214995080117626, -0.371715280419749, 0.12156340266668626, -0.2988863787438913, 0.004180263800048073, 0.23177411656350141, -0.03509951324531144, 0.02344712228547047, 0.05532360407048312, -0.02467125969908327, -0.05265424815400071, -0.19960777177650288, 0.25418997173549546, 0.1631094192268388, 0.21864815294182915, 0.018124928553654274, 0.10318050522875355, 0.006492591639018744, -0.046807873610023434, -0.03188521826602606, -0.09400735063902065, 0.04841197569561606, 0.24113818131356626, 0.07077912776457679, 0.20724252962502934, -0.3677389094422401, -0.22856915555894375, 0.06107395164616091, 0.10667270853046433, -0.013206352713679623, -0.036647464682680375, -0.25442268124272166, 0.02294430848658675, -0.19078260083259804, -0.1701611358226395, 0.0417838068591527, 0.06163495858615273, 0.03168654394584179, -0.21656923825708282, 0.09561177477786567, 0.007344168024968374, 0.034859704159794835, -0.13859561304212, -0.035988678757818374, -0.013572873623319274, 0.11342246437165449, 0.057561620991751376, 0.06604366707003417, 0.11114009344969994, -0.1122492179329214, -0.0734645001783731, 0.320993270361009, -0.07649182795302094, -0.007475730788155061, 0.2279123776868869, -0.20364662669292988, -0.16299574333571, 0.2160576438846093, 0.14257274245834547, 0.11701118256219012, -0.17018525953242827, 0.04185585993403725, -0.03533022750569114, 0.2683908592170638, 0.04526170372018512, 0.07481108880120858, 0.2792732876642419, 0.1509819313836778, 0.011850411786168743, 0.1555947856944789, -0.2282059118971491, -0.01733155457571831, -0.25124615055679433, -0.08799561898157376, -0.1547293629964044, 0.09444369769830338, -0.09706622359909646, -0.15176109460011963, 0.36411155504283843, 0.060546891698220244, 0.24386067612385245, 0.021283505757737187, 0.2907020543317175, 0.13183200331907632, 0.0577583236611222, 0.12655949232522662, 0.2878203003300013, 0.12244198030459874, 0.14679491677771853, -0.21940114358090249, 0.045490509922235786, -0.0040330406357075126] |
710.404 | Elastic Nd scattering at intermediate energies as a tool for probing the
short-range deuteron structure | A calculation of the deuteron polarization observables $A^d_y$, $A_{yy}$,
$A_{xx}$, $A_{xz}$ and the differential cross-section for elastic
nucleon-deuteron scattering at incident deuteron energies 270 and 880 MeV in
lab is presented. A comparison of the calculations with two different deuteron
wave-functions derived from the Bonn-CD $NN$-potential model and the dressed
bag quark model is carried out. A model-independent approach, based on an
optical potential framework, is used in which a nucleon-nucleon $T$-matrix is
assumed to be local and taken on the energy shell, but still depends on the
internal nucleon momentum in a deuteron.
| nucl-th | a calculation of the deuteron polarization observables ad_y a_yy a_xx a_xz and the differential crosssection for elastic nucleondeuteron scattering at incident deuteron energies 270 and 880 mev in lab is presented a comparison of the calculations with two different deuteron wavefunctions derived from the bonncd nnpotential model and the dressed bag quark model is carried out a modelindependent approach based on an optical potential framework is used in which a nucleonnucleon tmatrix is assumed to be local and taken on the energy shell but still depends on the internal nucleon momentum in a deuteron | [['a', 'calculation', 'of', 'the', 'deuteron', 'polarization', 'observables', 'ad_y', 'a_yy', 'a_xx', 'a_xz', 'and', 'the', 'differential', 'crosssection', 'for', 'elastic', 'nucleondeuteron', 'scattering', 'at', 'incident', 'deuteron', 'energies', '270', 'and', '880', 'mev', 'in', 'lab', 'is', 'presented', 'a', 'comparison', 'of', 'the', 'calculations', 'with', 'two', 'different', 'deuteron', 'wavefunctions', 'derived', 'from', 'the', 'bonncd', 'nnpotential', 'model', 'and', 'the', 'dressed', 'bag', 'quark', 'model', 'is', 'carried', 'out', 'a', 'modelindependent', 'approach', 'based', 'on', 'an', 'optical', 'potential', 'framework', 'is', 'used', 'in', 'which', 'a', 'nucleonnucleon', 'tmatrix', 'is', 'assumed', 'to', 'be', 'local', 'and', 'taken', 'on', 'the', 'energy', 'shell', 'but', 'still', 'depends', 'on', 'the', 'internal', 'nucleon', 'momentum', 'in', 'a', 'deuteron']] | [-0.048821252262037575, 0.17038030243803287, -0.14678149044250502, 0.11732877205308202, -0.03146994052329556, -0.07277033096381827, 0.03440429133352945, 0.36917360260596743, -0.17032005374178127, -0.2505571462780885, -0.08183631461756506, -0.3209727114957312, 0.008824892048521535, 0.1597623311757596, 0.12786627005097334, 0.09811627758039243, 0.06040762834574865, 0.046582250476247915, -0.0732438561314231, -0.14388034550432602, 0.3430339889347796, 0.10150543568939295, 0.24556068073877174, 0.20202123025513213, 0.11823447427773119, 0.09352392286667094, -0.035054293466205505, -0.050778952518316066, -0.0890500953309643, 0.07865689451737916, 0.23211462786307296, -0.005207620302984572, 0.1079802801655403, -0.43460709868889785, -0.14874414021260632, 0.02922107893264974, 0.09671886714236082, 0.14664180323091822, -0.004967479036523677, -0.2979642170805322, 0.00045380082978543055, -0.2366540959287111, -0.13178010491411324, -0.09138623466867063, 0.02057841568476642, 0.006974076209387377, -0.2923143978190163, 0.04700994668794168, -0.07227203824921795, 0.030577952479333086, -0.1377096582765934, -0.2621441795111067, -0.035266173464428306, 0.00965103435547739, 0.03548613068414852, 0.12226195361100785, 0.18816521660040092, -0.11186858600400307, -0.05551109826900875, 0.44027006893378234, -0.020622492747624285, -0.19789256311639253, 0.0802883107402443, -0.1355116841352909, -0.06752075177981802, 0.1606266249436885, 0.18098353135713335, 0.11348770039140894, -0.2429392606920927, 0.08039920392152651, -0.05219300236279631, 0.2085164416702869, 0.10681113392195624, 0.005447622176016803, 0.1696381111447092, 0.19859708951907637, -0.058593255842266524, 0.05055936937012872, -0.14847695314497483, -0.09025098740771088, -0.3640704793936532, -0.03435420245438328, -0.17314899083145935, 0.05580819452829335, -0.04673180150553969, -0.08666472625918686, 0.3757254698961649, 0.05751134189979538, 0.22046679832957403, -0.027947144014710237, 0.3307164551123329, 0.12413992072739032, 0.08352645530628608, 0.0600103725142696, 0.3211393389324455, 0.20384321532860075, 0.11260297009215245, -0.2555602667220544, 0.0096928469489364, 0.042405202714017716] |
710.4041 | Area limit laws for symmetry classes of staircase polygons | We derive area limit laws for the various symmetry classes of staircase
polygons on the square lattice, in a uniform ensemble where, for fixed
perimeter, each polygon occurs with the same probability. This complements a
previous study by Leroux and Rassart, where explicit expressions for the area
and perimeter generating functions of these classes have been derived.
| math.CO math.PR | we derive area limit laws for the various symmetry classes of staircase polygons on the square lattice in a uniform ensemble where for fixed perimeter each polygon occurs with the same probability this complements a previous study by leroux and rassart where explicit expressions for the area and perimeter generating functions of these classes have been derived | [['we', 'derive', 'area', 'limit', 'laws', 'for', 'the', 'various', 'symmetry', 'classes', 'of', 'staircase', 'polygons', 'on', 'the', 'square', 'lattice', 'in', 'a', 'uniform', 'ensemble', 'where', 'for', 'fixed', 'perimeter', 'each', 'polygon', 'occurs', 'with', 'the', 'same', 'probability', 'this', 'complements', 'a', 'previous', 'study', 'by', 'leroux', 'and', 'rassart', 'where', 'explicit', 'expressions', 'for', 'the', 'area', 'and', 'perimeter', 'generating', 'functions', 'of', 'these', 'classes', 'have', 'been', 'derived']] | [-0.12912889207447215, 0.09521339309867471, -0.03594732058367559, 0.057534074034525214, -0.022429232539642335, -0.10783345737893667, 0.08310748723202518, 0.3509166726310338, -0.21592020788479463, -0.25558909968822263, 0.12295511850347143, -0.2723750055052473, -0.127032466831484, 0.18355092370100984, -0.08781545610067301, 0.09344550691145871, -0.018974864759781798, 0.0492839435714164, -0.07135767755763871, -0.24394057672803424, 0.31805279747849063, -0.0031753459895428804, 0.31254436963770005, 0.043465587572427467, 0.11131387945663716, 0.05755833265305098, -0.0022396783294555333, 0.08313213195859655, -0.2355517698784492, 0.13361012233820344, 0.20211390854092315, 0.043112881851681904, 0.20010131996657168, -0.4121397780919714, -0.20560976177720086, 0.1312689331659515, 0.14179478908148926, 0.07731618678995542, -0.041235812218344235, -0.22669214208976232, 0.06216866668546572, -0.1337279428927494, -0.1721954551675091, -0.01306915916835091, 0.09570697795632961, 0.12030945014391493, -0.26381367817521095, 0.011559564849449089, 0.09034110572455185, 0.12754952816093074, -0.03760670283476689, -0.18012021881129062, 0.04271848413918633, 0.16037129313086293, 0.017891611587921425, 0.01581397756984058, 0.07736021865067803, -0.11759160498539652, -0.11117443598673812, 0.3576059739404757, 0.024698901921510696, -0.23981852718861774, 0.1260804539737624, -0.17793923168626083, -0.16557248095549376, 0.11672841162570487, 0.13545616929020202, 0.1128575480543077, -0.1547644772633378, 0.13598499684511417, -0.12979739164334855, 0.0668899827869609, 0.14210919836269958, 0.017319983237289956, 0.19638850415192013, 0.0738201945620988, 0.11897239588350723, 0.23451059451326728, -0.08897047353093512, -0.1496452995675749, -0.33328230905213524, -0.12339976107302521, -0.2053855328122154, 0.032589848552431376, -0.1232728926609395, -0.17595733592419752, 0.3799135160100247, 0.03176415554480627, 0.24530018727195316, 0.17685137346519955, 0.22132531262884317, 0.14971486214614874, 0.08525656275118568, 0.08625894082277748, 0.13651517891724194, 0.0664468807475974, -0.004162341414485127, -0.16833937496994622, 0.008515535704126316, 0.1739459439413622] |
710.4042 | Physics from HBT radii | An approximate formula connecting the true and the HBT homogeneity regions in
multiparticle production processes is derived. It implies that when calculating
the HBT radii one should use the ceter of mass systems of the pairs rather than
the now popular LCMS system. A discussion of several examples clarifies the
potential and limitations of the HBT method. The even cumulants of the
X-distribution, inculding the HBT radii, can be determined for each homogeneity
region, but the relative positions of the homogeneity regions are
unconstrained. This makes the HBT radii of little use for calculating
quantities dependent on the interparticle interactions in coordinate space.
| hep-ph | an approximate formula connecting the true and the hbt homogeneity regions in multiparticle production processes is derived it implies that when calculating the hbt radii one should use the ceter of mass systems of the pairs rather than the now popular lcms system a discussion of several examples clarifies the potential and limitations of the hbt method the even cumulants of the xdistribution inculding the hbt radii can be determined for each homogeneity region but the relative positions of the homogeneity regions are unconstrained this makes the hbt radii of little use for calculating quantities dependent on the interparticle interactions in coordinate space | [['an', 'approximate', 'formula', 'connecting', 'the', 'true', 'and', 'the', 'hbt', 'homogeneity', 'regions', 'in', 'multiparticle', 'production', 'processes', 'is', 'derived', 'it', 'implies', 'that', 'when', 'calculating', 'the', 'hbt', 'radii', 'one', 'should', 'use', 'the', 'ceter', 'of', 'mass', 'systems', 'of', 'the', 'pairs', 'rather', 'than', 'the', 'now', 'popular', 'lcms', 'system', 'a', 'discussion', 'of', 'several', 'examples', 'clarifies', 'the', 'potential', 'and', 'limitations', 'of', 'the', 'hbt', 'method', 'the', 'even', 'cumulants', 'of', 'the', 'xdistribution', 'inculding', 'the', 'hbt', 'radii', 'can', 'be', 'determined', 'for', 'each', 'homogeneity', 'region', 'but', 'the', 'relative', 'positions', 'of', 'the', 'homogeneity', 'regions', 'are', 'unconstrained', 'this', 'makes', 'the', 'hbt', 'radii', 'of', 'little', 'use', 'for', 'calculating', 'quantities', 'dependent', 'on', 'the', 'interparticle', 'interactions', 'in', 'coordinate', 'space']] | [-0.11395419609161223, 0.12983090656542676, -0.14270484907896083, 0.15053450337399055, -0.008207908250612787, -0.11293741857337922, -0.0471627379324988, 0.3287073396478254, -0.22524504328958025, -0.2791166841836259, 0.05235705236295736, -0.3072313129219531, -0.05045330654691425, 0.2114231377692506, -0.011252750045825072, 0.025176152743694214, 0.06313367741237773, 0.028312330408538186, -0.1372547765345414, -0.20739246876264858, 0.3697488164796614, 0.0936979320537677, 0.2368172232965284, 0.1185266086923899, 0.0673056277584764, 0.03159525461430376, -0.0624673739600106, 0.05368755861977346, -0.131121594526031, 0.11237514602241687, 0.1815125653981277, 0.09451803994263605, 0.23105080890478474, -0.3223532509095598, -0.1676884799271287, 0.1407566290408705, 0.15019974728935573, 0.12555433903811591, -0.00942064150545451, -0.24885290802115262, 0.04536425235616689, -0.16082110665830793, -0.16877191568180772, -0.05516226182110829, 0.05153520988521747, 0.05855398251223239, -0.2543604617182276, 0.12545854411327675, 0.03263628018807013, 0.0594438490858947, -0.02935593553108744, -0.16682974965021125, -0.006853583462462567, 0.14928428663977072, 0.035344204162293585, -0.02532697705054047, 0.1927043892360191, -0.1227581985594502, -0.04798939939367004, 0.3851567291387237, 0.015565598401267516, -0.22171706012259976, 0.16483914446187123, -0.17554489031692247, -0.09513548480249978, 0.1082983538842677, 0.11840998116387332, 0.14304054587028256, -0.1886114239916586, 0.007705756830798443, -0.01768680652695717, 0.18967051099349588, 0.12242320642488465, 0.06263700222117033, 0.2464273739652247, 0.12944874716784324, 0.03427488461026166, 0.10462190225227082, -0.11697403539553064, -0.1394580256027898, -0.31634216939126797, -0.1144969391977728, -0.19416995264018083, -0.028436507261941718, -0.13774674015072413, -0.1339730849065403, 0.3455903387840579, 0.15101719530078, 0.2264131821166392, 0.046986855398218084, 0.3119596692890224, 0.08946591476439544, 0.12621437618047884, 0.052130367284142734, 0.2698757299729208, 0.15856467270393773, 0.11979769243130295, -0.24909224876117347, 0.08999415175841734, 0.07190448911583955] |
710.4043 | Observation of magnetization reversal and negative magnetization in a
double perovskite compound Sr2YbRuO6 | Detailed magnetic properties of the compound Sr2YbRuO6 are presented here.
The compound belongs to the family of double perovskites forming a monoclinic
structure. Magnetization meas-urements reveal clear evidence for two components
of magnetic ordering aligned opposite to each other, leading to a magnetization
reversal, compensation temperature (T* = 34 K) and neg-ative magnetization at
low temperatures and low magnetic fields. Heat capacity measurements
corroborate the presence of two components in the magnetic ordering and a
noticeable third anomaly at low temperatures (~15 K) which cannot be attributed
the Schottky effect. The calcu-lated magnetic entropy is substantially lower
than that expected for the ground states of the or-dered moments of Ru5+ and
Yb3+, indicating the presence of large crystal field effects and/ or
in-complete magnetic ordering and/or magnetic frustrations well above the
magnetic ordering. An attempt is made to explain the magnetization reversal
within the frameworks of available models.
| cond-mat.str-el cond-mat.mtrl-sci | detailed magnetic properties of the compound sr2ybruo6 are presented here the compound belongs to the family of double perovskites forming a monoclinic structure magnetization measurements reveal clear evidence for two components of magnetic ordering aligned opposite to each other leading to a magnetization reversal compensation temperature t 34 k and negative magnetization at low temperatures and low magnetic fields heat capacity measurements corroborate the presence of two components in the magnetic ordering and a noticeable third anomaly at low temperatures 15 k which cannot be attributed the schottky effect the calculated magnetic entropy is substantially lower than that expected for the ground states of the ordered moments of ru5 and yb3 indicating the presence of large crystal field effects and or incomplete magnetic ordering andor magnetic frustrations well above the magnetic ordering an attempt is made to explain the magnetization reversal within the frameworks of available models | [['detailed', 'magnetic', 'properties', 'of', 'the', 'compound', 'sr2ybruo6', 'are', 'presented', 'here', 'the', 'compound', 'belongs', 'to', 'the', 'family', 'of', 'double', 'perovskites', 'forming', 'a', 'monoclinic', 'structure', 'magnetization', 'measurements', 'reveal', 'clear', 'evidence', 'for', 'two', 'components', 'of', 'magnetic', 'ordering', 'aligned', 'opposite', 'to', 'each', 'other', 'leading', 'to', 'a', 'magnetization', 'reversal', 'compensation', 'temperature', 't', '34', 'k', 'and', 'negative', 'magnetization', 'at', 'low', 'temperatures', 'and', 'low', 'magnetic', 'fields', 'heat', 'capacity', 'measurements', 'corroborate', 'the', 'presence', 'of', 'two', 'components', 'in', 'the', 'magnetic', 'ordering', 'and', 'a', 'noticeable', 'third', 'anomaly', 'at', 'low', 'temperatures', '15', 'k', 'which', 'can', 'not', 'be', 'attributed', 'the', 'schottky', 'effect', 'the', 'calculated', 'magnetic', 'entropy', 'is', 'substantially', 'lower', 'than', 'that', 'expected', 'for', 'the', 'ground', 'states', 'of', 'the', 'ordered', 'moments', 'of', 'ru5', 'and', 'yb3', 'indicating', 'the', 'presence', 'of', 'large', 'crystal', 'field', 'effects', 'and', 'or', 'incomplete', 'magnetic', 'ordering', 'andor', 'magnetic', 'frustrations', 'well', 'above', 'the', 'magnetic', 'ordering', 'an', 'attempt', 'is', 'made', 'to', 'explain', 'the', 'magnetization', 'reversal', 'within', 'the', 'frameworks', 'of', 'available', 'models']] | [-0.20056079920748768, 0.24363166509842782, -0.0008157588265120324, 0.04860672335849986, -0.08184202864835811, -0.11430176014245368, 0.08842840378622518, 0.3924981798773923, -0.2673696410494974, -0.3529390004292435, 0.0360196794622394, -0.3038994450736664, -0.0525372608780202, 0.1432083012444303, 0.08849426707867407, -0.05358456388483344, -0.05787710926406795, 0.06185885695312932, -0.11679101597397354, -0.19426011107164098, 0.24487056344395922, 0.04499475060499647, 0.31877901537191805, 0.09492027859336563, 0.05611193646379069, -0.05298086159013617, 0.10907982153894037, 0.0721820362457106, -0.10214198132954913, 0.025472456720407394, 0.21776631365635224, -0.07536210975970845, 0.14965806666565235, -0.42203361519808774, -0.19733153959596847, 0.0482860666249885, 0.09646486540382006, 0.09959197311335857, -0.07569374392113211, -0.2336533889744659, 0.09524298525180946, -0.09401427403957184, -0.1316143523483556, -0.11738127837041519, -0.03833365277466396, -0.009216487423523146, -0.2840259553707002, 0.11754904367460482, 0.1262106531359838, 0.15550207766723267, -0.14922475362225074, -0.18102728909191987, -0.08267765761302391, 0.0595166172854425, 0.08959360065597559, 0.07822111982940919, 0.14291044440576617, -0.0984493339783512, -0.13521966223009438, 0.3272898187872726, -0.04068932654924111, -0.06121661878970205, 0.16746217149490378, -0.2551764630345108, -0.12288107040661331, 0.21245514496932832, 0.11105673157310646, 0.11354094819081821, -0.13048749779181582, 0.02383084379815256, 0.030383163790668355, 0.16801428725011647, 0.03152761925930525, 0.051687867532731316, 0.2819588465844186, 0.12055359583436734, 0.036877320923262, 0.1550216703532346, -0.15227547071582706, -0.06663650942041355, -0.2310573756061241, -0.16046223301617873, -0.18372467499492423, 0.05083521196581455, -0.08584266545702023, -0.17779004367204623, 0.34875090123109875, 0.14147183826814094, 0.19939253086439607, -0.06911716503677193, 0.27133985547044753, 0.08612541913777133, 0.10016044164963421, 0.07433016181901275, 0.21321969657984316, 0.24151766688252488, 0.1445344514672828, -0.3010328518746256, 0.14904987774662623, -0.03905513697639615] |
710.4044 | Compactified Jacobians, Abel maps and Theta divisors | This is an expository paper about the topics listed in the title.
| math.AG | this is an expository paper about the topics listed in the title | [['this', 'is', 'an', 'expository', 'paper', 'about', 'the', 'topics', 'listed', 'in', 'the', 'title']] | [-0.11976149662708242, 0.04377265597698473, -0.04058115929365158, 0.11684245647241671, -0.17135288783659539, 0.07137525950868924, -0.01938171629444696, 0.3362434655427933, -0.30587771721184254, -0.2972278295395275, 0.08170640308526345, -0.3613065608466665, -0.18327017834720513, 0.1504794651409611, -0.24853443478544554, -0.16040543901423612, 0.033302703561882176, 0.13710926317920288, -0.03267473440306882, -0.48686810707052547, 0.42283564309279126, 0.13270033554484448, 0.22387927770614624, 0.16558879210303226, 0.00047218000205854577, -0.018032473667214315, -0.12379912302518885, -0.11666015721857548, -0.21509048684189716, 0.2319431675132364, 0.4203292957196633, 0.0515156666127344, 0.36395391014715034, -0.282262591800342, -0.0791774974592651, 0.009718495421111584, 0.1411215839907527, 0.10064664886643489, -0.009848972937713066, -0.28928431247671443, 0.06433734577149153, -0.15948534896597266, -0.1413499428308569, 0.05814287283768257, 0.05589375039562583, -0.012327658322950205, -0.023457006861766178, 0.006744268738354246, 0.24867250009750327, 0.203166412965705, -0.025628631391252082, -0.20819690699378648, 0.17802724055945873, 0.14171364391222596, 0.17871774630233025, 0.08696517744101584, 0.04019227437674999, -0.12078342041543995, -0.1052026622928679, 0.4459961714843909, 0.023758310281361144, -0.09314767116059859, 0.06202258068757752, -0.024868730843688052, -0.2474942822009325, 0.08622339460998774, 0.18860572669655085, 0.12694452594344816, -0.31636717543005943, 0.0902723124017939, -0.20757288734118143, 0.23396809523304304, 0.04846780917917689, -0.026866058818995953, 0.20725233728686968, 0.17125852471023487, -0.08018652823132773, 0.13336261082440615, 0.06340714606146018, -0.030587955998877685, -0.45205281923214596, -0.20510601873199144, -0.14116220362484455, 0.0235334694540749, 0.14502339685956636, -0.09715885412879288, 0.4661886927982171, 0.2586375909547011, 0.13794533240919313, -0.07600458276768525, 0.26671737898141146, 0.08250442457695802, -0.12229103889937203, 0.10535587832176437, 0.10267460905015469, 0.07193668714414041, 0.2674953459451596, 0.0007115406527494391, 0.0721030371884505, 0.08790908590890467] |
710.4045 | A new formulation of the relativistic many-body theory of electric
dipole moments of closed shell atoms | The electric dipole moments of closed-shell atoms are sensitive to the parity
and time-reversal violating phenomena in the nucleus. The nuclear Schiff moment
is one such property, it arises from the parity and time reversal violating
quark-quark interactions and the quark-chromo electric dipole moments. We
calculate the electric dipole moment of atomic $^{199}{\rm Hg}$ arising from
the nuclear Schiff moment using the relativistic coupled-cluster theory. This
is the most accurate calculation of the quantity to date. Our calculations in
combination with the experiment data provide important insights to the P and T
violating coupling constants at the elementary particle level. In addition, a
new limit on the tensor-pseudo tensor induced atomic EDM, calculated using the
relativistic coupled-cluster theory is also presented.
| physics.atom-ph | the electric dipole moments of closedshell atoms are sensitive to the parity and timereversal violating phenomena in the nucleus the nuclear schiff moment is one such property it arises from the parity and time reversal violating quarkquark interactions and the quarkchromo electric dipole moments we calculate the electric dipole moment of atomic 199rm hg arising from the nuclear schiff moment using the relativistic coupledcluster theory this is the most accurate calculation of the quantity to date our calculations in combination with the experiment data provide important insights to the p and t violating coupling constants at the elementary particle level in addition a new limit on the tensorpseudo tensor induced atomic edm calculated using the relativistic coupledcluster theory is also presented | [['the', 'electric', 'dipole', 'moments', 'of', 'closedshell', 'atoms', 'are', 'sensitive', 'to', 'the', 'parity', 'and', 'timereversal', 'violating', 'phenomena', 'in', 'the', 'nucleus', 'the', 'nuclear', 'schiff', 'moment', 'is', 'one', 'such', 'property', 'it', 'arises', 'from', 'the', 'parity', 'and', 'time', 'reversal', 'violating', 'quarkquark', 'interactions', 'and', 'the', 'quarkchromo', 'electric', 'dipole', 'moments', 'we', 'calculate', 'the', 'electric', 'dipole', 'moment', 'of', 'atomic', '199rm', 'hg', 'arising', 'from', 'the', 'nuclear', 'schiff', 'moment', 'using', 'the', 'relativistic', 'coupledcluster', 'theory', 'this', 'is', 'the', 'most', 'accurate', 'calculation', 'of', 'the', 'quantity', 'to', 'date', 'our', 'calculations', 'in', 'combination', 'with', 'the', 'experiment', 'data', 'provide', 'important', 'insights', 'to', 'the', 'p', 'and', 't', 'violating', 'coupling', 'constants', 'at', 'the', 'elementary', 'particle', 'level', 'in', 'addition', 'a', 'new', 'limit', 'on', 'the', 'tensorpseudo', 'tensor', 'induced', 'atomic', 'edm', 'calculated', 'using', 'the', 'relativistic', 'coupledcluster', 'theory', 'is', 'also', 'presented']] | [-0.09631878415061461, 0.21512547115621677, -0.03216104113380425, 0.12369314653570053, -0.03465535752159559, -0.07290826405998382, 0.040042791195446625, 0.2969511519580827, -0.2459726365316675, -0.29439078808083374, -0.05193409605752835, -0.3353112890243025, -0.03335226752639401, 0.09726176628649583, 0.12140710161548991, 0.015054383959376522, -0.0221534620248318, 0.07652722125289907, -0.08416196922534856, -0.14354761067178037, 0.2757070407318741, 0.08991801061951635, 0.2538871131205963, 0.13495481030930917, 0.03811702356867145, 0.04435111054661289, 0.029960279325338995, -0.0055625432533985475, -0.06249140504495067, 0.1494603483243135, 0.1979555964462017, 0.03459609241098544, 0.12182302020670958, -0.49469818100648916, -0.07515553275115346, 0.06862254738926067, 0.041860279623198056, 0.20027830828991483, -0.10011018385372708, -0.3197643108512038, -0.0003698514853367361, -0.18590825231019723, -0.16428375939672846, -0.18135773723597748, 0.039023310380151215, 0.03530172199421262, -0.34453198176382455, 0.08239482296408762, 0.048037539188892156, 0.06560848693710394, -0.06615941953782181, -0.2084591592014846, 0.03819262188409408, 0.05719167736390511, 0.11217241076223741, 0.07288143420083866, 0.1874298615641576, -0.10035588646650914, -0.12093576332810729, 0.4581642958603926, -0.061494849989253836, -0.15004977301331396, 0.11098470888100564, -0.2204751152845131, -0.18550035178314073, 0.12204355391736885, 0.14367780704406422, 0.14292048876000157, -0.15278655795727747, 0.15295230477882582, -0.008116031910087598, 0.14664699175687096, 0.057456218112670515, 0.04421040208978673, 0.19475008698054036, 0.09984578028068704, 0.03684532202748676, 0.07873051447825412, -0.13446686040685055, -0.10624559036598115, -0.34825912349604826, -0.0988691875845997, -0.21351914185935916, 0.07065617794297256, -0.05738632938128075, -0.10951699113662718, 0.3599662125047486, 0.10176680861356652, 0.1044769563038352, -0.06868661978771373, 0.3112242141012418, 0.14870555909701733, 0.08119310272099861, 0.00904039581211568, 0.3306766744403137, 0.24556905619200256, 0.06995015356283224, -0.3584679099139205, 0.06438707776853057, 0.11711076700712665] |
710.4046 | Bit-interleaved coded modulation in the wideband regime | The wideband regime of bit-interleaved coded modulation (BICM) in Gaussian
channels is studied. The Taylor expansion of the coded modulation capacity for
generic signal constellations at low signal-to-noise ratio (SNR) is derived and
used to determine the corresponding expansion for the BICM capacity. Simple
formulas for the minimum energy per bit and the wideband slope are given. BICM
is found to be suboptimal in the sense that its minimum energy per bit can be
larger than the corresponding value for coded modulation schemes. The minimum
energy per bit using standard Gray mapping on M-PAM or M^2-QAM is given by a
simple formula and shown to approach -0.34 dB as M increases. Using the low SNR
expansion, a general trade-off between power and bandwidth in the wideband
regime is used to show how a power loss can be traded off against a bandwidth
gain.
| cs.IT math.IT | the wideband regime of bitinterleaved coded modulation bicm in gaussian channels is studied the taylor expansion of the coded modulation capacity for generic signal constellations at low signaltonoise ratio snr is derived and used to determine the corresponding expansion for the bicm capacity simple formulas for the minimum energy per bit and the wideband slope are given bicm is found to be suboptimal in the sense that its minimum energy per bit can be larger than the corresponding value for coded modulation schemes the minimum energy per bit using standard gray mapping on mpam or m2qam is given by a simple formula and shown to approach 034 db as m increases using the low snr expansion a general tradeoff between power and bandwidth in the wideband regime is used to show how a power loss can be traded off against a bandwidth gain | [['the', 'wideband', 'regime', 'of', 'bitinterleaved', 'coded', 'modulation', 'bicm', 'in', 'gaussian', 'channels', 'is', 'studied', 'the', 'taylor', 'expansion', 'of', 'the', 'coded', 'modulation', 'capacity', 'for', 'generic', 'signal', 'constellations', 'at', 'low', 'signaltonoise', 'ratio', 'snr', 'is', 'derived', 'and', 'used', 'to', 'determine', 'the', 'corresponding', 'expansion', 'for', 'the', 'bicm', 'capacity', 'simple', 'formulas', 'for', 'the', 'minimum', 'energy', 'per', 'bit', 'and', 'the', 'wideband', 'slope', 'are', 'given', 'bicm', 'is', 'found', 'to', 'be', 'suboptimal', 'in', 'the', 'sense', 'that', 'its', 'minimum', 'energy', 'per', 'bit', 'can', 'be', 'larger', 'than', 'the', 'corresponding', 'value', 'for', 'coded', 'modulation', 'schemes', 'the', 'minimum', 'energy', 'per', 'bit', 'using', 'standard', 'gray', 'mapping', 'on', 'mpam', 'or', 'm2qam', 'is', 'given', 'by', 'a', 'simple', 'formula', 'and', 'shown', 'to', 'approach', '034', 'db', 'as', 'm', 'increases', 'using', 'the', 'low', 'snr', 'expansion', 'a', 'general', 'tradeoff', 'between', 'power', 'and', 'bandwidth', 'in', 'the', 'wideband', 'regime', 'is', 'used', 'to', 'show', 'how', 'a', 'power', 'loss', 'can', 'be', 'traded', 'off', 'against', 'a', 'bandwidth', 'gain']] | [-0.1967582422510301, 0.07971117654520178, -0.03441641634841725, 0.08741352670952271, -0.023631279497787778, -0.2222520280334259, 0.13531700838488384, 0.37993320245066214, -0.27838008315630364, -0.2834852457663018, 0.10352499951677345, -0.2288739737123251, -0.12385781277397412, 0.23858165134131437, -0.14682623560646546, 0.04545850064367725, 0.002285395701363368, 0.07137545651402062, -0.0961642400000874, -0.25732347723358956, 0.188509048671055, 0.19864032765142095, 0.3395729110474554, 0.010652683107969416, 0.10847671126658229, -0.001767568160701071, 0.033909542659874746, -0.05625964409317559, -0.13156955542468546, 0.06431023514514762, 0.2839951014923404, 0.1241151344122916, 0.20010820658169162, -0.3293559061606008, -0.2507872652774021, 0.08229391039414725, 0.16249162762452074, 0.054116772358227046, -0.015042666143337657, -0.1753803752362728, 0.1641259771856991, -0.2281792732103216, -0.035248468443095475, -0.008592725747828963, -0.027220764633556698, 0.05467375502167401, -0.36300579792964205, 0.08218859172340902, -0.027370462908973575, 0.012126477894333887, -0.01871327580441393, -0.14594834607707757, 0.038045355764834185, 0.09594964386049239, -0.03123120822727313, 0.04777194276242189, 0.06305707626464502, -0.0783710374601815, -0.05622790345977861, 0.3639655360610972, -0.09285285285377669, -0.21801938109991836, 0.06747803203991129, -0.1358900842171582, 0.0027266089322002815, 0.21843784638273883, 0.19638186530538007, 0.04628622581080442, -0.11339318421734891, 0.029599882395442863, 0.02879488553432092, 0.2638535891252924, 0.18019655946983207, 0.12905794713510083, 0.1721100053015414, 0.12515318821984486, 0.0708125779080585, 0.18084443982733203, -0.17838111820033895, -0.07762411663728491, -0.22981954687340578, -0.07760215860883325, -0.24777881639704608, 0.02052007135476025, -0.17679980403742043, -0.0695443836729039, 0.3360504659063275, 0.08361868331418701, 0.1538768033169105, 0.11691705375240827, 0.384819479855958, 0.2421907207225187, 0.0650644557071771, 0.13660930192202958, 0.2220465554265489, 0.14259101010524525, 0.10366629999668771, -0.19719682564519503, 0.02509600531414781, 0.03612497565008595] |
710.4047 | Some series and integrals involving the Riemann zeta function, binomial
coefficients and the harmonic numbers. Volume V | In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.
| math.HO | in this series of seven papers predominantly by means of elementary analysis we establish a number of identities related to the riemann zeta function whilst this paper is mainly expository some of the formulae reported in it are believed to be new and the paper may also be of interest specifically due to the fact that most of the various identities have been derived by elementary methods | [['in', 'this', 'series', 'of', 'seven', 'papers', 'predominantly', 'by', 'means', 'of', 'elementary', 'analysis', 'we', 'establish', 'a', 'number', 'of', 'identities', 'related', 'to', 'the', 'riemann', 'zeta', 'function', 'whilst', 'this', 'paper', 'is', 'mainly', 'expository', 'some', 'of', 'the', 'formulae', 'reported', 'in', 'it', 'are', 'believed', 'to', 'be', 'new', 'and', 'the', 'paper', 'may', 'also', 'be', 'of', 'interest', 'specifically', 'due', 'to', 'the', 'fact', 'that', 'most', 'of', 'the', 'various', 'identities', 'have', 'been', 'derived', 'by', 'elementary', 'methods']] | [-0.11530844273554759, 0.09796234634724435, -0.11181551533570486, 0.08285223662596085, -0.10019141775486406, -0.07045825119755829, 0.001738097848815482, 0.31895867048470833, -0.26462381259267176, -0.33202195352415986, 0.14744018157596575, -0.2559475443923651, -0.22675369485496863, 0.2414655297883411, -0.07703294169936162, 0.02793497772393887, 0.004810208249698157, 0.02656108716766892, -0.04363426519905342, -0.30633718591989645, 0.36903676232184046, 0.02141095799352251, 0.22950457837154617, 0.09362406602629753, 0.016599788803106814, -0.051795356267534974, -0.12081624449355834, 0.015973334025188503, -0.11335698942318924, 0.1965965145587254, 0.26960807536214365, 0.10351958150502795, 0.28993866152004966, -0.4178510364701054, -0.16775346978275635, 0.1099543594824734, 0.19732889588296748, 0.08244064319600809, -0.043593217396358054, -0.233937191929835, 0.12298338900584338, -0.17212058239574754, -0.11378449098721369, -0.07115564289600101, 0.03544019835431184, 0.06641828557198394, -0.18374236443761124, 0.04907473093272298, 0.08099632804045703, 0.08167863368932436, -0.03087533965407968, -0.148290196252959, 0.038993890416363614, 0.09878097657364474, 0.16383473701260762, 0.02020909290399347, 0.040877069506460605, -0.11442601549397431, -0.08200953381810226, 0.3663112541188055, -0.003367277863087939, -0.20124467017490472, 0.19949098930471756, -0.14208516757935286, -0.20912745483775638, 0.1306870207955032, 0.13827305175920032, 0.15634538947062485, -0.23816977445480983, 0.07164386397057365, -0.08534707949121496, 0.08678917135042485, 0.08112536022550802, 0.03780368293649448, 0.1905557096296393, 0.06179735582989099, -0.02625887847588912, 0.16479074014976286, -0.00984903444438728, -0.055438731505132434, -0.30756636515760155, -0.19097129919969325, -0.19515685026825808, 0.04476317543876983, -0.005288883937486281, -0.1452647893369865, 0.412656592955785, 0.16589506411292493, 0.18187849815073076, 0.03138844425609307, 0.24487331184322264, 0.16966137813696108, 0.08632345867357147, -0.0008725327884416972, 0.21814804887894276, 0.1649707533078574, 0.058915188795593286, -0.11575055822257453, 0.09453293450399121, 0.10555030840210992] |
710.4048 | Evidence for a Type 1/Type 2 dichotomy in the correlation between quasar
optical polarization and host galaxy/extended emission position angles | For Seyfert galaxies, the AGN unification model provides a simple and well
established explanation of the Type 1/Type 2 dichotomy through orientation
based effects. The generalization of this unification model to the higher
luminosity AGNs that are the quasars remains a key question. The recent
detection of Type 2 Radio-Quiet quasars seems to support such an extension. We
propose to further test this scenario.
On the basis of a compilation of quasar host galaxy position angles
consisting of previously published data and of new measurements performed using
HST Archive images, we investigate the possible existence of a correlation
between the linear polarization position angle and the host galaxy/extended
emission position angle of quasars.
We find that the orientation of the rest-frame UV/blue extended emission is
correlated to the direction of the quasar polarization. For Type 1 quasars, the
polarization is aligned with the extended UV/blue emission while these two
quantities are perpendicular in Type 2 objects. This result is independent of
the quasar radio-loudness. We interpret this (anti-)alignment effect in terms
of scattering in a two-component polar+equatorial model which applies to both
Type 1 and Type 2 objects. Moreover the orientation of the polarization -and
then of the UV/blue scattered light- does not appear correlated to the major
axis of the stellar component of the host galaxy measured from near-IR images.
| astro-ph | for seyfert galaxies the agn unification model provides a simple and well established explanation of the type 1type 2 dichotomy through orientation based effects the generalization of this unification model to the higher luminosity agns that are the quasars remains a key question the recent detection of type 2 radioquiet quasars seems to support such an extension we propose to further test this scenario on the basis of a compilation of quasar host galaxy position angles consisting of previously published data and of new measurements performed using hst archive images we investigate the possible existence of a correlation between the linear polarization position angle and the host galaxyextended emission position angle of quasars we find that the orientation of the restframe uvblue extended emission is correlated to the direction of the quasar polarization for type 1 quasars the polarization is aligned with the extended uvblue emission while these two quantities are perpendicular in type 2 objects this result is independent of the quasar radioloudness we interpret this antialignment effect in terms of scattering in a twocomponent polarequatorial model which applies to both type 1 and type 2 objects moreover the orientation of the polarization and then of the uvblue scattered light does not appear correlated to the major axis of the stellar component of the host galaxy measured from nearir images | [['for', 'seyfert', 'galaxies', 'the', 'agn', 'unification', 'model', 'provides', 'a', 'simple', 'and', 'well', 'established', 'explanation', 'of', 'the', 'type', '1type', '2', 'dichotomy', 'through', 'orientation', 'based', 'effects', 'the', 'generalization', 'of', 'this', 'unification', 'model', 'to', 'the', 'higher', 'luminosity', 'agns', 'that', 'are', 'the', 'quasars', 'remains', 'a', 'key', 'question', 'the', 'recent', 'detection', 'of', 'type', '2', 'radioquiet', 'quasars', 'seems', 'to', 'support', 'such', 'an', 'extension', 'we', 'propose', 'to', 'further', 'test', 'this', 'scenario', 'on', 'the', 'basis', 'of', 'a', 'compilation', 'of', 'quasar', 'host', 'galaxy', 'position', 'angles', 'consisting', 'of', 'previously', 'published', 'data', 'and', 'of', 'new', 'measurements', 'performed', 'using', 'hst', 'archive', 'images', 'we', 'investigate', 'the', 'possible', 'existence', 'of', 'a', 'correlation', 'between', 'the', 'linear', 'polarization', 'position', 'angle', 'and', 'the', 'host', 'galaxyextended', 'emission', 'position', 'angle', 'of', 'quasars', 'we', 'find', 'that', 'the', 'orientation', 'of', 'the', 'restframe', 'uvblue', 'extended', 'emission', 'is', 'correlated', 'to', 'the', 'direction', 'of', 'the', 'quasar', 'polarization', 'for', 'type', '1', 'quasars', 'the', 'polarization', 'is', 'aligned', 'with', 'the', 'extended', 'uvblue', 'emission', 'while', 'these', 'two', 'quantities', 'are', 'perpendicular', 'in', 'type', '2', 'objects', 'this', 'result', 'is', 'independent', 'of', 'the', 'quasar', 'radioloudness', 'we', 'interpret', 'this', 'antialignment', 'effect', 'in', 'terms', 'of', 'scattering', 'in', 'a', 'twocomponent', 'polarequatorial', 'model', 'which', 'applies', 'to', 'both', 'type', '1', 'and', 'type', '2', 'objects', 'moreover', 'the', 'orientation', 'of', 'the', 'polarization', 'and', 'then', 'of', 'the', 'uvblue', 'scattered', 'light', 'does', 'not', 'appear', 'correlated', 'to', 'the', 'major', 'axis', 'of', 'the', 'stellar', 'component', 'of', 'the', 'host', 'galaxy', 'measured', 'from', 'nearir', 'images']] | [-0.08703529864878339, 0.0630278197382245, -0.037689451456946486, 0.09709495372756287, -0.124505252008457, -0.11434811285941343, 0.018414000230440996, 0.44513402848053574, -0.19631591946206886, -0.30565652676027827, 0.050674107804898665, -0.2731510875788749, -0.04878902277588945, 0.17459966531929422, -0.022255370126851744, -0.041046249739218894, -0.01920753704990804, -0.09635946108238999, -0.03741799806886272, -0.23706673909973236, 0.3244267726576217, 0.05147111909021518, 0.23003089870642282, -0.016090846043164374, 0.09686247477090888, -0.010482293625290576, -0.09068194075753044, 0.01399693205716653, -0.09153684166243471, 0.09643825574048975, 0.22382841860913413, 0.138748768929041, 0.18359586089739904, -0.29791472100007993, -0.17304630899102305, 0.08904265373633391, 0.17273377184229333, 0.07160738969855937, -0.049485560941164346, -0.26995583210873725, 0.029890254137793143, -0.15384971648370382, -0.19386834771755865, 0.07074249617763842, 0.03538332623113537, 0.024392625278786953, -0.21691790225913504, 0.1261033044677076, 0.06888677471615501, 0.08751687791433693, -0.11203528161695843, -0.06588214768804779, -0.05040301439748462, 0.07418787660134105, 0.03325919693123077, 0.07649320602518131, 0.12197951892942899, -0.14246030450731145, -0.11908488845472684, 0.40123650864002663, -0.037500968951483284, -0.07677074335726206, 0.2010348613008623, -0.19515315712691914, -0.1512427258450639, 0.1046883491757094, 0.18046510635087123, 0.13939905344883646, -0.10865543988992658, 0.009786588275474307, -0.06951225289392256, 0.24747967960763875, -0.006588100990895772, 0.07666540248290535, 0.2781901141497985, 0.08950754731779757, 0.023655750534846975, 0.11780744193414673, -0.22606040605942285, 0.008534668754876856, -0.29849208958817824, -0.11190280560045861, -0.14170348397940735, 0.10281184445483224, -0.11399173705986905, -0.12804313123276737, 0.4201441065269223, 0.12445646556456703, 0.23774054444529857, 0.057815566044237585, 0.29450873543858125, 0.058960303868065965, 0.08857843049444211, 0.05058839643264518, 0.33991791073620586, 0.14981780849329757, 0.067431568063804, -0.21460512712149044, 0.08544114965137423, 0.0359864463365681] |
710.4049 | Parity violating cylindrical shell in the framework of QED | We present calculations of Casimir energy (CE) in a system of quantized
electromagnetic (EM) field interacting with an infinite circular cylindrical
shell (which we call `the defect'). Interaction is described in the only
QFT-consistent way by Chern-Simon action concentrated on the defect, with a
single coupling constant $a$.
For regularization of UV divergencies of the theory we use % physically
motivated Pauli-Villars regularization of the free EM action. The divergencies
are extracted as a polynomial in regularization mass $M$, and they renormalize
classical part of the surface action.
We reveal the dependence of CE on the coupling constant $a$. Corresponding
Casimir force is attractive for all values of $a$. For $a\to\infty$ we
reproduce the known results for CE for perfectly conducting cylindrical shell
first obtained by DeRaad and Milton.
| hep-th cond-mat.stat-mech quant-ph | we present calculations of casimir energy ce in a system of quantized electromagnetic em field interacting with an infinite circular cylindrical shell which we call the defect interaction is described in the only qftconsistent way by chernsimon action concentrated on the defect with a single coupling constant a for regularization of uv divergencies of the theory we use physically motivated paulivillars regularization of the free em action the divergencies are extracted as a polynomial in regularization mass m and they renormalize classical part of the surface action we reveal the dependence of ce on the coupling constant a corresponding casimir force is attractive for all values of a for atoinfty we reproduce the known results for ce for perfectly conducting cylindrical shell first obtained by deraad and milton | [['we', 'present', 'calculations', 'of', 'casimir', 'energy', 'ce', 'in', 'a', 'system', 'of', 'quantized', 'electromagnetic', 'em', 'field', 'interacting', 'with', 'an', 'infinite', 'circular', 'cylindrical', 'shell', 'which', 'we', 'call', 'the', 'defect', 'interaction', 'is', 'described', 'in', 'the', 'only', 'qftconsistent', 'way', 'by', 'chernsimon', 'action', 'concentrated', 'on', 'the', 'defect', 'with', 'a', 'single', 'coupling', 'constant', 'a', 'for', 'regularization', 'of', 'uv', 'divergencies', 'of', 'the', 'theory', 'we', 'use', 'physically', 'motivated', 'paulivillars', 'regularization', 'of', 'the', 'free', 'em', 'action', 'the', 'divergencies', 'are', 'extracted', 'as', 'a', 'polynomial', 'in', 'regularization', 'mass', 'm', 'and', 'they', 'renormalize', 'classical', 'part', 'of', 'the', 'surface', 'action', 'we', 'reveal', 'the', 'dependence', 'of', 'ce', 'on', 'the', 'coupling', 'constant', 'a', 'corresponding', 'casimir', 'force', 'is', 'attractive', 'for', 'all', 'values', 'of', 'a', 'for', 'atoinfty', 'we', 'reproduce', 'the', 'known', 'results', 'for', 'ce', 'for', 'perfectly', 'conducting', 'cylindrical', 'shell', 'first', 'obtained', 'by', 'deraad', 'and', 'milton']] | [-0.1633262579100177, 0.1402910135517549, -0.07448661689543062, 0.059622219204717865, -0.05399145217730649, -0.11897190680934323, 0.0025619659323378335, 0.3670927788175288, -0.21685258455071893, -0.27437102924367146, 0.036734152527984294, -0.281090127939861, -0.1438797091442601, 0.1505763845791715, -0.014987096885248782, 0.017084014513423586, 0.013603839797839995, 0.08134562427931953, -0.08682319987657672, -0.1971039942750178, 0.3649965554719702, 0.05462625398049279, 0.21270283127927947, 0.048642852136658296, 0.0964552712643386, 0.05463776776071874, 0.01123948112159731, 0.055439348546935927, -0.14362933967883387, 0.10669179903786807, 0.18453202565572047, 0.004162889441460489, 0.2260258511994921, -0.4153234225269111, -0.21458987972610408, 0.025825622433330864, 0.12458403215980128, 0.11328328674980662, -0.05985514524148866, -0.22849160350031322, 0.03928808663927373, -0.1847760789558321, -0.13814674925321477, -0.07931798868738706, -0.019889780223214377, -0.021126530236668058, -0.28678319187805296, 0.07549501195298655, 0.011162398102146292, 0.0423008290812764, -0.1281963144281199, -0.0920577973251172, -0.023114565878160416, 0.09630040410122583, 0.06019058554906339, 0.03143939235439849, 0.1379070330987729, -0.1506765452084235, -0.06832154664314455, 0.3799863653553147, -0.1264622576131914, -0.2048293427519855, 0.1628129126444932, -0.12068421812728047, -0.09242656849516881, 0.12901851072877882, 0.08655951142547623, 0.1459472922142595, -0.1272092027855771, 0.15932913259368636, -0.031840413738603864, 0.12393469792062653, 0.09128260768077795, 0.005941322188831807, 0.1984771270053609, 0.10056991066916712, 0.03653202878518237, 0.1338426941462482, -0.05395758504580174, -0.07815735112129164, -0.37017222060748034, -0.14332868429898685, -0.22312497606386417, 0.058608627660081736, -0.09938832061674302, -0.23346011455185592, 0.3398926638395688, 0.09809779955419741, 0.19754354377454592, 0.02063558722147718, 0.25671580859592985, 0.12630922884942727, 0.09717375802112714, 0.06907062573609726, 0.2955158694928128, 0.13473931788041862, 0.05216436666096487, -0.26865435465209425, -0.04656736967375591, 0.11831784826363363] |
710.405 | Pseudo-goldstone higgs from five dimensions | I discuss radiative generation of the higgs potential in 5D models of
gauge-higgs unification.
| hep-ph | i discuss radiative generation of the higgs potential in 5d models of gaugehiggs unification | [['i', 'discuss', 'radiative', 'generation', 'of', 'the', 'higgs', 'potential', 'in', '5d', 'models', 'of', 'gaugehiggs', 'unification']] | [-0.08614252680646521, 0.1803387991551842, 0.14141477052388446, 0.24218782423330204, -0.04536095919632187, -0.25459255810294834, -0.043761754142386575, 0.37032270963702885, -0.16824220090971462, -0.26414814478318605, -0.02174460582734485, -0.1494729522216533, -0.04483859377380993, 0.01830194577840822, 0.060293540358543396, -0.016204835015482137, -0.04040635057858059, -0.12411295835460935, -0.08668956040803875, -0.2619691999363048, 0.3829708365457399, 0.03822123525398118, 0.20976430576826846, 0.11368656224970307, 0.03832176321053079, -0.10063920113524157, 0.016438092105090618, -0.21812794557107346, -0.11130204637135778, 0.20429724654448883, 0.10083024577475694, 0.13527437685323612, 0.14881940984300204, -0.3807398223850344, -0.26336204579898287, 0.12142245744221977, 0.15994932655511157, 0.17865124344825745, -0.1304389379386391, -0.2823976108006069, 0.03865634184330702, -0.31673855813486235, -0.0660203184400286, -0.04204001197857516, -0.07002839725464582, -0.16965174648378575, -0.36038763501814436, -0.006839725039234119, -0.0765503521210381, 0.048944743017532995, -0.07234007878495115, -0.12069501049284424, -0.14621508760111673, -0.037953185848891735, 0.27181265729346443, -0.021208242546500906, 0.09634640459885954, -0.356707437230008, -0.2926447564137301, 0.5560609357697623, -0.2141586590026106, -0.13954432832542807, 0.1578910437279514, -0.16345371413210938, -0.1683647786932332, -0.013323033494608743, 0.23822341726294585, 0.10194126982241869, -0.039944209956697056, 0.32981217918651445, 0.05370004940778017, 0.10207396958555494, -0.06277161251221385, 0.057523439006347744, 0.38795917481184006, 0.29064842207091196, -0.09494948729739658, 0.05456155086202281, -0.04009277080850942, -0.16104122856631875, -0.5555284853492465, -0.17659988786493028, -0.016349957457610538, 0.125130697685693, -0.15351227617689542, -0.1010311424200024, 0.4556797317096165, 0.20374440348574094, 0.17918061092495918, -0.017780763496245657, 0.2030310689338616, 0.05464075379339712, 0.07491117323349629, -0.08400671716247286, 0.41670938168785404, 0.10675773157605103, 0.13812584829117572, -0.3195387343210833, -0.16948235294382488, 0.2415982488143657] |
710.4051 | On the capacity achieving covariance matrix for Rician MIMO channels: an
asymptotic approach | The capacity-achieving input covariance matrices for coherent block-fading
correlated MIMO Rician channels are determined. In this case, no closed-form
expressions for the eigenvectors of the optimum input covariance matrix are
available. An approximation of the average mutual information is evaluated in
this paper in the asymptotic regime where the number of transmit and receive
antennas converge to $+\infty$. New results related to the accuracy of the
corresponding large system approximation are provided. An attractive
optimization algorithm of this approximation is proposed and we establish that
it yields an effective way to compute the capacity achieving covariance matrix
for the average mutual information. Finally, numerical simulation results show
that, even for a moderate number of transmit and receive antennas, the new
approach provides the same results as direct maximization approaches of the
average mutual information, while being much more computationally attractive.
| math.PR cs.IT math.IT | the capacityachieving input covariance matrices for coherent blockfading correlated mimo rician channels are determined in this case no closedform expressions for the eigenvectors of the optimum input covariance matrix are available an approximation of the average mutual information is evaluated in this paper in the asymptotic regime where the number of transmit and receive antennas converge to infty new results related to the accuracy of the corresponding large system approximation are provided an attractive optimization algorithm of this approximation is proposed and we establish that it yields an effective way to compute the capacity achieving covariance matrix for the average mutual information finally numerical simulation results show that even for a moderate number of transmit and receive antennas the new approach provides the same results as direct maximization approaches of the average mutual information while being much more computationally attractive | [['the', 'capacityachieving', 'input', 'covariance', 'matrices', 'for', 'coherent', 'blockfading', 'correlated', 'mimo', 'rician', 'channels', 'are', 'determined', 'in', 'this', 'case', 'no', 'closedform', 'expressions', 'for', 'the', 'eigenvectors', 'of', 'the', 'optimum', 'input', 'covariance', 'matrix', 'are', 'available', 'an', 'approximation', 'of', 'the', 'average', 'mutual', 'information', 'is', 'evaluated', 'in', 'this', 'paper', 'in', 'the', 'asymptotic', 'regime', 'where', 'the', 'number', 'of', 'transmit', 'and', 'receive', 'antennas', 'converge', 'to', 'infty', 'new', 'results', 'related', 'to', 'the', 'accuracy', 'of', 'the', 'corresponding', 'large', 'system', 'approximation', 'are', 'provided', 'an', 'attractive', 'optimization', 'algorithm', 'of', 'this', 'approximation', 'is', 'proposed', 'and', 'we', 'establish', 'that', 'it', 'yields', 'an', 'effective', 'way', 'to', 'compute', 'the', 'capacity', 'achieving', 'covariance', 'matrix', 'for', 'the', 'average', 'mutual', 'information', 'finally', 'numerical', 'simulation', 'results', 'show', 'that', 'even', 'for', 'a', 'moderate', 'number', 'of', 'transmit', 'and', 'receive', 'antennas', 'the', 'new', 'approach', 'provides', 'the', 'same', 'results', 'as', 'direct', 'maximization', 'approaches', 'of', 'the', 'average', 'mutual', 'information', 'while', 'being', 'much', 'more', 'computationally', 'attractive']] | [-0.1682320499218934, 0.03804450963954358, -0.0439773315630321, 0.07937352577074697, -0.04225635238523994, -0.20204420724018876, 0.05437145142599807, 0.3767768297610538, -0.23001140973397663, -0.2750328879570588, 0.08373892208910547, -0.2926098932911243, -0.1866471820693862, 0.16419914372132294, -0.060144493999957506, 0.072398138797975, 0.06995308736472257, 0.08085635697768469, -0.09153386006198291, -0.28234946747044365, 0.24264842031989248, 0.13085050019601893, 0.32741665950577176, 0.028738596100759295, 0.11739614908250846, 0.04059584495844319, -0.024883147771886018, -0.02207964782470039, -0.1107751919049146, 0.11224988300486334, 0.29851774397372666, 0.17383424243557133, 0.2726252072790105, -0.38806225532441335, -0.17951652368397586, 0.09665835879277437, 0.18870348618719227, 0.1086803654857379, -0.03785232702222337, -0.2479863770489049, 0.12153095143314983, -0.19353705484287015, -0.062340802426583, -0.0763981142380674, -0.01774275745265186, 0.025505016331278187, -0.4143776097068829, 0.06471715668511543, 0.019231555241692278, 0.02028025252012802, -0.03050281275895291, -0.19324789851920546, 0.052605468089625775, 0.1759383843845821, 0.06464127758850477, -0.02946271556013796, 0.0842659848555091, -0.11678706718209599, -0.05168177074330223, 0.3190762075329466, -0.00987940624930031, -0.27234996117248167, 0.1334129890526778, -0.12339815563588802, -0.05705084089588906, 0.17949084008744517, 0.22752908043164227, 0.1080293073917606, -0.15807072536221572, 0.04340524464454835, -0.06487992579516555, 0.16973612734000199, 0.04572735230904072, 0.13816851131268776, 0.1172591995140205, 0.12494149480813316, 0.13299197635081197, 0.16145040375413372, -0.08192331587862489, -0.12201971526789879, -0.26774513813933093, -0.12401216694020799, -0.28372757256895836, 0.013184576862425143, -0.18058637100735464, -0.12195009590193097, 0.33512362386765226, 0.1797750471575585, 0.15267135308988924, 0.16563778901472687, 0.3636102439503052, 0.15786118213769182, 0.007847013896597282, 0.136296751712715, 0.23640739889815449, 0.15780203710310162, 0.0614082802403053, -0.21322124760398375, 0.06101135887272124, 0.007027554977685213] |
710.4052 | Metastable Feshbach Molecules in High Rotational States | We experimentally demonstrate Cs2 Feshbach molecules well above the
dissociation threshold, which are stable against spontaneous decay on the
timescale of one second. An optically trapped sample of ultracold dimers is
prepared in an l-wave state and magnetically tuned into a region with negative
binding energy. The metastable character of these molecules arises from the
large centrifugal barrier in combination with negligible coupling to states
with low rotational angular momentum. A sharp onset of dissociation with
increasing magnetic field is mediated by a crossing with a g-wave dimer state
and facilitates dissociation on demand with a well defined energy.
| cond-mat.other | we experimentally demonstrate cs2 feshbach molecules well above the dissociation threshold which are stable against spontaneous decay on the timescale of one second an optically trapped sample of ultracold dimers is prepared in an lwave state and magnetically tuned into a region with negative binding energy the metastable character of these molecules arises from the large centrifugal barrier in combination with negligible coupling to states with low rotational angular momentum a sharp onset of dissociation with increasing magnetic field is mediated by a crossing with a gwave dimer state and facilitates dissociation on demand with a well defined energy | [['we', 'experimentally', 'demonstrate', 'cs2', 'feshbach', 'molecules', 'well', 'above', 'the', 'dissociation', 'threshold', 'which', 'are', 'stable', 'against', 'spontaneous', 'decay', 'on', 'the', 'timescale', 'of', 'one', 'second', 'an', 'optically', 'trapped', 'sample', 'of', 'ultracold', 'dimers', 'is', 'prepared', 'in', 'an', 'lwave', 'state', 'and', 'magnetically', 'tuned', 'into', 'a', 'region', 'with', 'negative', 'binding', 'energy', 'the', 'metastable', 'character', 'of', 'these', 'molecules', 'arises', 'from', 'the', 'large', 'centrifugal', 'barrier', 'in', 'combination', 'with', 'negligible', 'coupling', 'to', 'states', 'with', 'low', 'rotational', 'angular', 'momentum', 'a', 'sharp', 'onset', 'of', 'dissociation', 'with', 'increasing', 'magnetic', 'field', 'is', 'mediated', 'by', 'a', 'crossing', 'with', 'a', 'gwave', 'dimer', 'state', 'and', 'facilitates', 'dissociation', 'on', 'demand', 'with', 'a', 'well', 'defined', 'energy']] | [-0.13199661837507395, 0.2820527362616643, 0.008122730341674102, 0.021603986524478203, 0.02565488212440878, -0.15701842419520923, 0.08925352874917514, 0.3947465873859597, -0.24580928297581697, -0.29831333618347694, -0.016274392139166594, -0.27619797228412196, -0.0018767408022393633, 0.14405868825211068, 0.054951208846754106, 0.019450009875752107, 0.04545352375252417, 0.020067988551513413, -0.0030369002447284835, -0.15286758077340296, 0.31287260406246087, 0.07702820969515038, 0.2614276361360092, 0.15938244530028015, 0.07785551350639024, -0.027365835962083303, 0.1569909303251541, -0.045866663341946674, -0.15287409067733657, 0.09763821954497917, 0.20703788381069899, -0.04336465732429666, 0.21932595489414955, -0.43501929898305053, -0.1914924711195959, 0.0665795383797788, 0.16166858612136406, 0.1921684513788087, -0.08815613231825116, -0.3241716337512539, -0.028879419524184984, -0.1538566949052943, -0.13551504522881874, -0.10987213293485569, 0.016732643303141524, 0.03868289178030358, -0.27715629727269214, 0.12224184190195919, 0.013281100201467522, 0.09728673352116737, -0.14218861819480103, -0.10594236615320875, -0.1117048769991732, 0.018622705592971408, 0.03939655181867155, 0.06165237873063582, 0.20341022295708006, -0.15215742538125734, -0.09032162775125618, 0.3509440813119514, -0.12537859574035562, -0.10953949758726539, 0.2090418470195598, -0.14663374389644074, -0.030144981052162068, 0.26380976384524446, 0.11403768354405959, 0.13920770090713044, -0.05757839923649274, 0.016906877595406836, 0.019399109559905047, 0.2116825892578227, 0.08551243152892725, 0.045490017812228715, 0.24323988896253698, 0.19196661319959946, 0.030534044016303136, 0.1980942641808228, -0.13622803199152, -0.15972711388586144, -0.24441510111074707, -0.14186538850907424, -0.20166607602320688, 0.05794689415441356, -0.010111247518304453, -0.15326246885451103, 0.35095529870666337, 0.00975938949432939, 0.26364560227022704, -0.04416944577495069, 0.2657984199397492, 0.13690534092937456, 0.07267809610324677, 0.04360052361057523, 0.2664739243460424, 0.1312906893576975, 0.039979857771252895, -0.29472469045537186, 0.04831618605877715, -0.0023327090041335634] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.