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709.0635 | Poisson Sigma Model with branes and hyperelliptic Riemann surfaces | We derive the explicit form of the superpropagators in presence of general
boundary conditions (coisotropic branes) for the Poisson Sigma Model. This
generalizes the results presented in Cattaneo and Felder's previous works for
the Kontsevich angle function used in the deformation quantization program of
Poisson manifolds without branes or with at most two branes. The relevant
superpropagators for n branes are defined as gauge fixed homotopy operators of
a complex of differential forms on n sided polygons P_n with particular
"alternating" boundary conditions.
In presence of more than three branes we use first order Riemann theta
functions with odd singular characteristics on the Jacobian variety of a
hyperelliptic Riemann surface (canonical setting). In genus g the
superpropagators present g zero modes contributions.
| math-ph hep-th math.CV math.MP | we derive the explicit form of the superpropagators in presence of general boundary conditions coisotropic branes for the poisson sigma model this generalizes the results presented in cattaneo and felders previous works for the kontsevich angle function used in the deformation quantization program of poisson manifolds without branes or with at most two branes the relevant superpropagators for n branes are defined as gauge fixed homotopy operators of a complex of differential forms on n sided polygons p_n with particular alternating boundary conditions in presence of more than three branes we use first order riemann theta functions with odd singular characteristics on the jacobian variety of a hyperelliptic riemann surface canonical setting in genus g the superpropagators present g zero modes contributions | [['we', 'derive', 'the', 'explicit', 'form', 'of', 'the', 'superpropagators', 'in', 'presence', 'of', 'general', 'boundary', 'conditions', 'coisotropic', 'branes', 'for', 'the', 'poisson', 'sigma', 'model', 'this', 'generalizes', 'the', 'results', 'presented', 'in', 'cattaneo', 'and', 'felders', 'previous', 'works', 'for', 'the', 'kontsevich', 'angle', 'function', 'used', 'in', 'the', 'deformation', 'quantization', 'program', 'of', 'poisson', 'manifolds', 'without', 'branes', 'or', 'with', 'at', 'most', 'two', 'branes', 'the', 'relevant', 'superpropagators', 'for', 'n', 'branes', 'are', 'defined', 'as', 'gauge', 'fixed', 'homotopy', 'operators', 'of', 'a', 'complex', 'of', 'differential', 'forms', 'on', 'n', 'sided', 'polygons', 'p_n', 'with', 'particular', 'alternating', 'boundary', 'conditions', 'in', 'presence', 'of', 'more', 'than', 'three', 'branes', 'we', 'use', 'first', 'order', 'riemann', 'theta', 'functions', 'with', 'odd', 'singular', 'characteristics', 'on', 'the', 'jacobian', 'variety', 'of', 'a', 'hyperelliptic', 'riemann', 'surface', 'canonical', 'setting', 'in', 'genus', 'g', 'the', 'superpropagators', 'present', 'g', 'zero', 'modes', 'contributions']] | [-0.20575634238871243, 0.09433033331259169, -0.06418867058456555, 0.06878638254444222, -0.10671485348253465, -0.18555303354610186, -0.03139315172457365, 0.29194296597213043, -0.20864973532429087, -0.23102322251337473, 0.05724236953786009, -0.2629943266663639, -0.16360451754174943, 0.16958095092654657, -0.10720998652233574, 0.04655730220409049, 0.0200969148427248, 0.04539560134614223, -0.11891884030774236, -0.2907738768987999, 0.43136077173451176, -0.050129882281371316, 0.21401207287716284, 0.02514327149151168, 0.0818701163564091, 0.015114503572923972, 0.006946231898866961, -0.023779426193719762, -0.15613352157725174, 0.09310718102010394, 0.278866471982271, -0.01363675065766104, 0.12693464020114453, -0.46530470056611983, -0.17554576400301006, 0.1317428287927855, 0.13448273856574516, 0.020976981697756737, 0.03150125871711605, -0.24633403079675847, 0.07431257950687364, -0.11263758534389991, -0.20101413903013635, -0.047034796099293, 0.03315034002584756, -0.02076496009440085, -0.24186381151075245, 0.02034075729850466, 0.06228791770036714, 0.09946254376688453, -0.05321960139553994, -0.17612634523538873, -0.07644016753698958, 0.046396189149789754, 0.06257127572831957, 0.04589512298784417, 0.09659142132379023, -0.12731114983154063, -0.10448889386626418, 0.3228146482667443, -0.08132046571377852, -0.3182690510770581, 0.11270661945607452, -0.15006911369101678, -0.1734123898204416, 0.1068776405233218, 0.09671408342594495, 0.2381597179731022, -0.057924010844321035, 0.17870020272819034, -0.04641808093273554, 0.04886355050305118, 0.1581175223436134, -0.044766176516308494, 0.16149769489057972, 0.08119242782055659, 0.09720888363624938, 0.1621982267634088, -0.03973527136258781, -0.0817063633957496, -0.4200149190108307, -0.15554463579777444, -0.10288317409176075, 0.129937060368171, -0.1826482341570167, -0.17729115243390448, 0.3715503119126909, 0.05002359346272882, 0.19986525817667364, 0.10668013690680754, 0.22553605651940967, 0.08981750009831453, 0.03281858059211222, 0.051992394694711126, 0.12694939917724457, 0.193955064287455, 0.03823757817449629, -0.1705568972746002, -0.039195658864270226, 0.21697588157305708] |
709.0636 | Internal chemo-dynamical Modeling of Gas Exchange within Galaxies and
with their Environment | By a few but important examples as models of combined radiative and
wind-driven HII regions and galactic winds we demonstrate the importance of
refined small-to-medium scale studies of chemo-dynamical effects. These
processes determine the internal dynamics and energetic of the ISM and affect
its observational signatures, e.g. by abundance contributions, but are not yet
reliably and satisfactorily explored.
| astro-ph | by a few but important examples as models of combined radiative and winddriven hii regions and galactic winds we demonstrate the importance of refined smalltomedium scale studies of chemodynamical effects these processes determine the internal dynamics and energetic of the ism and affect its observational signatures eg by abundance contributions but are not yet reliably and satisfactorily explored | [['by', 'a', 'few', 'but', 'important', 'examples', 'as', 'models', 'of', 'combined', 'radiative', 'and', 'winddriven', 'hii', 'regions', 'and', 'galactic', 'winds', 'we', 'demonstrate', 'the', 'importance', 'of', 'refined', 'smalltomedium', 'scale', 'studies', 'of', 'chemodynamical', 'effects', 'these', 'processes', 'determine', 'the', 'internal', 'dynamics', 'and', 'energetic', 'of', 'the', 'ism', 'and', 'affect', 'its', 'observational', 'signatures', 'eg', 'by', 'abundance', 'contributions', 'but', 'are', 'not', 'yet', 'reliably', 'and', 'satisfactorily', 'explored']] | [-0.029197118590296858, 0.13868459034711123, -0.036639906690809236, 0.1899985121563077, -0.07654538562176107, -0.07404719651596428, 0.06778041668364714, 0.3999805673635725, -0.2305951739243906, -0.379895292061927, 0.10986064424224455, -0.25180214659535677, -0.08932508480060718, 0.2042623421113039, 0.012399631319567561, 0.001959878884071227, 0.08864370818603141, -0.11831447641879063, 0.020532772744853243, -0.2116381669545482, 0.3196545518966841, 0.12603142926597904, 0.14536962272490953, 0.06863844162656059, 0.07234637990015848, -0.16831868212742346, -0.1480600725666716, 0.043879776775580026, -0.16647802493213837, 0.06191144768020202, 0.20861525178751716, 0.1418178297322372, 0.21500539766817256, -0.48199168477078963, -0.32519284452729186, 0.05951924995437805, 0.22465318161668055, 0.08209444645487157, -0.0818654094051955, -0.2511030480361961, 0.023133946341815693, -0.17259346682514096, -0.135142855860036, -0.0901832593251662, 0.0028270913593085676, 0.04564670357724716, -0.20916502295736353, 0.10761794376443944, 0.04355229516433359, 0.0930473342987484, -0.06477114749502326, -0.11418156272225917, -0.08999470677748643, 0.14030332199763507, 0.05581809700755724, -0.028421786316702592, 0.23290829721171857, -0.16916290373573528, -0.054466818102057384, 0.4439532449790116, -0.01982942365655868, -0.10923608080413723, 0.24964466813052522, -0.19884669682781758, -0.17156794550828636, 0.10786420676118598, 0.18750632763037395, 0.12497017879876035, -0.1447268665993008, 0.034299003115879245, 0.02638505654537986, 0.12928589780268998, -0.030702509684488177, 0.07695291872971274, 0.27677086372217485, 0.11711945799018803, -0.05438271905937842, 0.08022760359393753, -0.13203176670579303, -0.08853507878515741, -0.24028187310162546, -0.061257531705858376, -0.08046269609496512, 0.030091562850555358, -0.10340260784016272, -0.10810283980942492, 0.3795168763909746, 0.1609154211533866, 0.2109714812952383, -0.029701817138441677, 0.33384768472149456, 0.017435104303174364, 0.08294755091152058, 0.10951625363066278, 0.30484289541872667, 0.15128507395274937, 0.06206035099377663, -0.27166496490224684, 0.17782268533483148, -0.00896501618212667] |
709.0637 | Sample path properties of the local time of multifractional Brownian
motion | We establish estimates for the local and uniform moduli of continuity of the
local time of multifractional Brownian motion,
$B^H=(B^{H(t)}(t),t\in\mathbb{R}^+)$. An analogue of Chung's law of the
iterated logarithm is studied for $B^H$ and used to obtain the pointwise
H\"{o}lder exponent of the local time. A kind of local asymptotic
self-similarity is proved to be satisfied by the local time of $B^H$.
| math.PR | we establish estimates for the local and uniform moduli of continuity of the local time of multifractional brownian motion bhbhtttinmathbbr an analogue of chungs law of the iterated logarithm is studied for bh and used to obtain the pointwise holder exponent of the local time a kind of local asymptotic selfsimilarity is proved to be satisfied by the local time of bh | [['we', 'establish', 'estimates', 'for', 'the', 'local', 'and', 'uniform', 'moduli', 'of', 'continuity', 'of', 'the', 'local', 'time', 'of', 'multifractional', 'brownian', 'motion', 'bhbhtttinmathbbr', 'an', 'analogue', 'of', 'chungs', 'law', 'of', 'the', 'iterated', 'logarithm', 'is', 'studied', 'for', 'bh', 'and', 'used', 'to', 'obtain', 'the', 'pointwise', 'holder', 'exponent', 'of', 'the', 'local', 'time', 'a', 'kind', 'of', 'local', 'asymptotic', 'selfsimilarity', 'is', 'proved', 'to', 'be', 'satisfied', 'by', 'the', 'local', 'time', 'of', 'bh']] | [-0.14060465686145376, 0.06401557696159722, -0.16143308604349854, 0.10667258057147876, -0.06663274336472673, -0.0705961655810109, 0.033449980613516, 0.2805095467044682, -0.3347587714002269, -0.22370565673870751, 0.1362903222563814, -0.18703540681754469, -0.07054372525728139, 0.2220119778372225, -0.09071136075148328, 0.1236274675695134, -0.07191210549294216, 0.06876726800072022, -0.04675689973242459, -0.2717814968868357, 0.3029378256531524, 0.022681460135662166, 0.22029910731266755, -0.0360472224439021, 0.14680930127801953, 0.013834431397224792, -0.09892780271923689, 0.034096516684064125, -0.21369926439079104, 0.11713399467837127, 0.15094284108671985, 0.032947180991167904, 0.2903223834687569, -0.4111528076597902, -0.17562695685774088, 0.15952515748680615, 0.1120263066784036, -0.004196707422646587, -0.016744148173201523, -0.30563492834812306, 0.15354310085073297, -0.11429348603639079, -0.24159009202734613, -0.07181978793662103, 0.0804588815472165, 0.11112408066687525, -0.32607833396826613, 0.1981304107447628, 0.15534482920756104, 0.04082619415626663, -0.10699323355601947, 0.0032715370848042068, -0.020405117987242878, 0.13645655543497595, 0.09010645816652257, -0.0008048222965148629, 0.14366577041228532, -0.11332319643287385, -0.1024883823988379, 0.33173741901018583, -0.08553770642544402, -0.16719154610878742, 0.13390548670756036, -0.18198819825670026, -0.09601352311915061, 0.070918711864191, 0.11182882847478155, 0.15958016777478376, -0.1654279498749825, 0.1566263426870077, -0.02982375653628565, 0.13024076052987185, 0.089251003006748, 0.06871243943383948, 0.09206358650241231, 0.09874644316732883, 0.1792459258290588, 0.16380937327058284, -0.06140673283457023, -0.1194628964590489, -0.3586642583374117, -0.22631911392949644, -0.22037644885846827, 0.14227163791656494, -0.20716945112436688, -0.18110690188029263, 0.3484092665908736, 0.0643900002001739, 0.1939657816861863, 0.16384730387295857, 0.18027239903563358, 0.214714007207849, -0.01027870713351447, 0.07050240563503543, 0.22592614120116733, 0.1587467831826662, 0.10859974895100125, -0.20385099492287723, 0.09116732736774644, 0.23321761236694016] |
709.0638 | Asymptotic behavior of grafting rays | In this paper we study the convergence behavior of grafting rays to the
Thurston boundary of Teichmuller space. When the grafting is done along a
weighted system of simple closed curves or along a maximal uniquely ergodic
lamination this behavior is the same as for Teichmuller geodesics and lines of
minima. We also show that the ray grafted along a weighted system of simple
closed curves is at bounded distance from Teichmuller geodesic.
| math.GT | in this paper we study the convergence behavior of grafting rays to the thurston boundary of teichmuller space when the grafting is done along a weighted system of simple closed curves or along a maximal uniquely ergodic lamination this behavior is the same as for teichmuller geodesics and lines of minima we also show that the ray grafted along a weighted system of simple closed curves is at bounded distance from teichmuller geodesic | [['in', 'this', 'paper', 'we', 'study', 'the', 'convergence', 'behavior', 'of', 'grafting', 'rays', 'to', 'the', 'thurston', 'boundary', 'of', 'teichmuller', 'space', 'when', 'the', 'grafting', 'is', 'done', 'along', 'a', 'weighted', 'system', 'of', 'simple', 'closed', 'curves', 'or', 'along', 'a', 'maximal', 'uniquely', 'ergodic', 'lamination', 'this', 'behavior', 'is', 'the', 'same', 'as', 'for', 'teichmuller', 'geodesics', 'and', 'lines', 'of', 'minima', 'we', 'also', 'show', 'that', 'the', 'ray', 'grafted', 'along', 'a', 'weighted', 'system', 'of', 'simple', 'closed', 'curves', 'is', 'at', 'bounded', 'distance', 'from', 'teichmuller', 'geodesic']] | [-0.19416449739508432, 0.16224637762834765, -0.14972600624705218, 0.06385644074459242, -0.0627319994318771, -0.08712697902388156, 0.03328516437793278, 0.4104654569025726, -0.3666069176915574, -0.15062212364824668, 0.06377034482692866, -0.3337944280738904, -0.14974259174658522, 0.23859870106887635, -0.16699382574744012, 0.0692829092556279, 0.09453355345543321, 0.09291226334538158, -0.10306152018514296, -0.2268187237061458, 0.37206551320340536, 0.043735119042127096, 0.21897721715424567, 0.07203103108841875, 0.1277609074756197, -0.003093610415617897, 0.04738797371798795, 0.06736274365270319, -0.1917406079868271, 0.14649892213741597, 0.20903073682462517, 0.097625949573129, 0.16317318456426058, -0.37455028532812856, -0.24185162850285638, 0.18243103254943677, 0.2061500668347086, -0.015298426049212888, 0.004073183390324655, -0.24684965128257666, 0.053481502235190916, -0.03881202365131411, -0.21729317505218804, 0.03758228693973936, 0.01680531735493712, 0.07609458516785646, -0.11506692973310001, -0.005659472124335318, 0.06198749152866945, 0.16278875177751664, -0.08372450488051782, 0.003220551969381432, -0.039312726428910885, 0.10186106105189936, 0.10090036955917228, 0.11732927708861048, 0.13517046479942046, -0.013568995182389675, -0.05177916786697221, 0.3455510791646291, -0.10742047588557821, -0.22841444446973197, 0.13549738938677802, -0.1659240558973118, -0.1348767793890446, 0.1917917393817732, 0.1372480763964457, 0.1707941604178552, -0.1514588207788271, 0.1725085110791117, -0.0602378654086401, 0.03790534703596814, 0.1227359286037414, -0.06528863899907326, 0.1701471301382535, 0.11270087205626275, 0.1774583717119204, 0.17745729490607492, -0.050814033367938986, -0.05583570657731735, -0.379602832528316, -0.24515568569608748, -0.17893547999787413, 0.09144219599523876, -0.15118940632566266, -0.24372015275979694, 0.39393115803369716, -0.005867221596816631, 0.24547325656430363, 0.17893035499353524, 0.2567622979898771, 0.027451054344578864, -0.013736246893667195, 0.14278987184651706, 0.17929952339052338, 0.1273414204024697, 0.00686663917380653, -0.18849879868443392, 0.030888745197643563, 0.1919584931007966] |
709.0639 | Atomic Diffusion and Mixing in Old Stars I. VLT/FLAMES-UVES Observations
of Stars in NGC 6397 | We present a homogeneous photometric and spectroscopic analysis of 18 stars
along the evolutionary sequence of the metal-poor globular cluster NGC 6397
([Fe/H] = -2), from the main-sequence turnoff point to red giants below the
bump. The spectroscopic stellar parameters, in particular stellar-parameter
differences between groups of stars, are in good agreement with broad-band and
Stroemgren photometry calibrated on the infrared-flux method. The spectroscopic
abundance analysis reveals, for the first time, systematic trends of iron
abundance with evolutionary stage. Iron is found to be 31% less abundant in the
turnoff-point stars than in the red giants. An abundance difference in lithium
is seen between the turnoff-point and warm subgiant stars. The impact of
potential systematic errors on these abundance trends (stellar parameters, the
hydrostatic and LTE approximations) is quantitatively evaluated and found not
to alter our conclusions significantly. Trends for various elements (Li, Mg,
Ca, Ti and Fe) are compared with stellar-structure models including the effects
of atomic diffusion and radiative acceleration. Such models are found to
describe the observed element-specific trends well, if extra (turbulent) mixing
just below the convection zone is introduced. It is concluded that atomic
diffusion and turbulent mixing are largely responsible for the sub-primordial
stellar lithium abundances of warm halo stars. Other consequences of atomic
diffusion in old metal-poor stars are also discussed.
| astro-ph | we present a homogeneous photometric and spectroscopic analysis of 18 stars along the evolutionary sequence of the metalpoor globular cluster ngc 6397 feh 2 from the mainsequence turnoff point to red giants below the bump the spectroscopic stellar parameters in particular stellarparameter differences between groups of stars are in good agreement with broadband and stroemgren photometry calibrated on the infraredflux method the spectroscopic abundance analysis reveals for the first time systematic trends of iron abundance with evolutionary stage iron is found to be 31 less abundant in the turnoffpoint stars than in the red giants an abundance difference in lithium is seen between the turnoffpoint and warm subgiant stars the impact of potential systematic errors on these abundance trends stellar parameters the hydrostatic and lte approximations is quantitatively evaluated and found not to alter our conclusions significantly trends for various elements li mg ca ti and fe are compared with stellarstructure models including the effects of atomic diffusion and radiative acceleration such models are found to describe the observed elementspecific trends well if extra turbulent mixing just below the convection zone is introduced it is concluded that atomic diffusion and turbulent mixing are largely responsible for the subprimordial stellar lithium abundances of warm halo stars other consequences of atomic diffusion in old metalpoor stars are also discussed | [['we', 'present', 'a', 'homogeneous', 'photometric', 'and', 'spectroscopic', 'analysis', 'of', '18', 'stars', 'along', 'the', 'evolutionary', 'sequence', 'of', 'the', 'metalpoor', 'globular', 'cluster', 'ngc', '6397', 'feh', '2', 'from', 'the', 'mainsequence', 'turnoff', 'point', 'to', 'red', 'giants', 'below', 'the', 'bump', 'the', 'spectroscopic', 'stellar', 'parameters', 'in', 'particular', 'stellarparameter', 'differences', 'between', 'groups', 'of', 'stars', 'are', 'in', 'good', 'agreement', 'with', 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709.064 | Algebraic theta functions and Eisenstein-Kronecker numbers | In this paper, we give an overview of our previous paper concerning the
investigation of the algebraic and $p$-adic properties of Eisenstein-Kronecker
numbers using Mumford's theory of algebraic theta functions.
| math.NT math.AG | in this paper we give an overview of our previous paper concerning the investigation of the algebraic and padic properties of eisensteinkronecker numbers using mumfords theory of algebraic theta functions | [['in', 'this', 'paper', 'we', 'give', 'an', 'overview', 'of', 'our', 'previous', 'paper', 'concerning', 'the', 'investigation', 'of', 'the', 'algebraic', 'and', 'padic', 'properties', 'of', 'eisensteinkronecker', 'numbers', 'using', 'mumfords', 'theory', 'of', 'algebraic', 'theta', 'functions']] | [-0.21703871157951654, 0.009134787961860033, -0.21072417292743922, 0.035719315067399296, -0.10343103657166162, 0.00818767175078392, 0.02821707895103221, 0.23914745369305213, -0.2889408418287834, -0.27213030544420086, 0.07795276014367118, -0.21403422790269058, -0.23979674174139898, 0.25626356738309064, -0.14033491866042216, 0.02575580437357227, -0.008601941401138902, 0.04350340891008576, -0.12074417414454122, -0.29798583139975865, 0.44562642253004014, 0.0054100312292575834, 0.1776986955665052, 0.08488096743822098, 0.06261635545330743, 0.06404718828077118, -0.09952978487126529, -0.047764517615238825, -0.24687668511954447, 0.23809853525211414, 0.32841335208310435, 0.10268313501340648, 0.22073841318488122, -0.4497831713408232, -0.11794431487408777, 0.11674097428719203, 0.14751828357887764, 0.03455689201752345, -0.04304824834689498, -0.24856490852932137, 0.0748961410795649, -0.18386037610471248, -0.2053504186682403, -0.11131990440189839, 0.005141796777024865, 0.09900353737175464, -0.20772803037737805, -0.004477242038895686, 0.11811477715770403, 0.25613122976695496, -0.05711937818365793, -0.16071498355983446, 0.11624177075767268, 0.03834796131898959, 0.09202463409552972, 0.06979743439393739, 0.04016674640588462, -0.09879218699255338, -0.140417239194115, 0.303691105513523, 0.00428225276991725, -0.15615739300847054, 0.11343894430125753, -0.13868431858718394, -0.2411743072172006, 0.036245102916533746, 0.13784794900566338, 0.19232283309102058, -0.05407054315631588, 0.17091627409487653, -0.17832368810971577, 0.08820656463503837, 0.07160587143152952, 0.062107494845986363, 0.10404972184138993, 0.08760469052940607, -0.03664628090336919, 0.21293308561046917, 0.053515064219633736, -0.07066683667168643, -0.40019552906354267, -0.20171088417991995, -0.09046998998771111, 0.14212282039225102, -0.06761591923374605, -0.21207680354515712, 0.49800739977508784, 0.1703527082844327, 0.17970148641616107, 0.1609685861816009, 0.27333256900310515, 0.09673208473056244, -0.11634345532705387, -0.038235969562083486, 0.13737320801398406, 0.2552777821818987, 0.03746607067684333, -0.13296445949623983, -0.026134697844584782, 0.16797533988331756] |
709.0641 | Coherent control for the spherical symmetric box potential in short and
intensive XUV laser fields | Coherent control calculations are presented for a spherically symmetric box
potential for non-resonant two photon transition probabilities. With the help
of a genetic algorithm (GA) the population of the excited states are maximized
and minimized. The external driving field is a superposition of three intensive
extreme ultraviolet (XUV) linearly polarized laser pulses with different
frequencies in the femtosecond duration range. We solved the quantum mechanical
problem within the dipole approximation. Our investigation clearly shows that
the dynamics of the electron current has a strong correlation with the
optimized and neutralizing pulse shape.
| physics.optics physics.atom-ph | coherent control calculations are presented for a spherically symmetric box potential for nonresonant two photon transition probabilities with the help of a genetic algorithm ga the population of the excited states are maximized and minimized the external driving field is a superposition of three intensive extreme ultraviolet xuv linearly polarized laser pulses with different frequencies in the femtosecond duration range we solved the quantum mechanical problem within the dipole approximation our investigation clearly shows that the dynamics of the electron current has a strong correlation with the optimized and neutralizing pulse shape | [['coherent', 'control', 'calculations', 'are', 'presented', 'for', 'a', 'spherically', 'symmetric', 'box', 'potential', 'for', 'nonresonant', 'two', 'photon', 'transition', 'probabilities', 'with', 'the', 'help', 'of', 'a', 'genetic', 'algorithm', 'ga', 'the', 'population', 'of', 'the', 'excited', 'states', 'are', 'maximized', 'and', 'minimized', 'the', 'external', 'driving', 'field', 'is', 'a', 'superposition', 'of', 'three', 'intensive', 'extreme', 'ultraviolet', 'xuv', 'linearly', 'polarized', 'laser', 'pulses', 'with', 'different', 'frequencies', 'in', 'the', 'femtosecond', 'duration', 'range', 'we', 'solved', 'the', 'quantum', 'mechanical', 'problem', 'within', 'the', 'dipole', 'approximation', 'our', 'investigation', 'clearly', 'shows', 'that', 'the', 'dynamics', 'of', 'the', 'electron', 'current', 'has', 'a', 'strong', 'correlation', 'with', 'the', 'optimized', 'and', 'neutralizing', 'pulse', 'shape']] | [-0.14300461170142112, 0.2039053418759621, -0.058688769187859216, 0.08261934640113791, 0.024660283239031938, -0.14130167782549624, 0.03840169151384464, 0.48832850283740653, -0.21957895042293746, -0.29576727369820455, 0.014019414538305009, -0.26124669217413454, -0.0637075038191498, 0.20394144876121098, 0.048671890219734254, 0.07219711633439621, 0.04054369037444501, -0.025181819249511413, -0.010536424995339274, -0.1573671951722961, 0.29086184731947823, 0.04817662810598014, 0.2879958272628162, 0.01869593815797049, 0.0899872523681868, 0.036096907696565206, 0.02785811621857726, -0.015378212705558248, -0.06261181911371672, 0.08900160375449796, 0.22828950613494153, 0.07691695434345014, 0.2928882456566814, -0.4386718214246566, -0.2335501090704423, 0.062433956618010794, 0.1185717510730762, 0.14430781581398586, -0.10260611232977522, -0.26998335498628084, 0.0057017851580420265, -0.14111224218757581, -0.13958350097780806, -0.03031988536088687, 0.019561843770687752, 0.07808763170412378, -0.29325026042921387, 0.036000955627178366, 0.006587786991630033, 0.029658441433639382, -0.09692547780097178, -0.0668334177310538, -0.01064404592667099, 0.08104614340497748, 0.026036148726353018, 0.07033275175110801, 0.1938225351041183, -0.11687037245998078, -0.12372366049891317, 0.3496734901209888, -0.08100324448036111, -0.1364639143601222, 0.15385529929367098, -0.19454818424950962, -0.03977639504465396, 0.20910094013316152, 0.13498929313272642, 0.1631009239177017, -0.13373711705207825, 0.042173613580298086, 0.0014239138184601197, 0.21272481225162704, 0.09333181204324913, 0.06004676597797737, 0.22485691741989602, 0.14617370389675235, 0.0265846179454061, 0.16091995722735705, -0.11454308718827594, -0.1179478203918299, -0.27420325086037023, -0.047055528114509325, -0.17795489240265655, 0.05803137420393203, -0.07232563502791732, -0.16038467187140865, 0.4482403968982196, 0.09091496987916205, 0.09649411095913661, -0.00567811929985233, 0.3157673695013332, 0.17025840392908204, -0.002737027491726305, 0.027845489331926015, 0.291481235894658, 0.1509658489983691, 0.05011703461692061, -0.33136400043630326, 0.012274283779096668, -0.027592093268733308] |
709.0642 | Geometry of Liquid Crystals and the alignment of HIV-1 virus helical
filaments | Geometry of Liquid crystals as detectors of HIV twisted helical filaments is
presented.
| cond-mat.mtrl-sci cond-mat.soft | geometry of liquid crystals as detectors of hiv twisted helical filaments is presented | [['geometry', 'of', 'liquid', 'crystals', 'as', 'detectors', 'of', 'hiv', 'twisted', 'helical', 'filaments', 'is', 'presented']] | [-0.2574955503313014, 0.30934049303715044, -0.02530688362625929, 0.041778052503314726, -0.07019126243316211, -0.20092947007371828, -0.09019706226312198, 0.38787100177544814, -0.1592102930522882, -0.2423061917607601, 0.08116379910363601, -0.309830942692665, -0.1477349896270495, 0.17308818133404621, -0.0018523033135212385, 0.0765284918821775, 0.035447595497736566, -0.13005164795770094, -0.029588331969884727, -0.21679623596943343, 0.2215793480953345, 0.12639326917437407, 0.338087944027323, -0.015051723099671878, 0.1995131581162031, -0.013923685209682355, 0.06922577550778022, 0.036454190428440385, -0.19943222690087098, -0.0018048156769229816, 0.3708684808359696, -0.06690955849794242, 0.050984334773742236, -0.5722651110532192, -0.25626029991186583, -0.07907620530862075, 0.16104042802292567, 0.06407546653197362, -0.0390224470398747, -0.273583146241995, 0.04327658298783577, -0.1746571482374118, -0.23523450556855935, 0.017582491040229797, -0.05106478155805515, 0.07049403138807975, -0.07737103133247449, 0.12300833744498399, -0.0002959688695577475, 0.08210462058643596, -0.04399830074264453, -0.09173010690854146, -0.1175764576675227, 0.030837071916231744, 0.09571873881997398, 0.02002187703664486, 0.3649256143432397, -0.21552407268721324, -0.1799156449448604, 0.32360269587773544, 0.02577294409275055, -0.15079989968440854, 0.0915099078646073, -0.18638543462237486, -0.043728085091480844, 0.24751141151556602, 0.125180684030056, 0.11295475982702695, -0.03518359964856735, -0.06296645391445893, -0.16194290957915095, 0.17936750157521322, 0.08815262137124172, -0.05827138651735508, 0.3210436888755514, 0.29232923743816525, 0.022936324374033853, 0.20124510488508698, -0.18684752081305936, -0.017525407557304088, -0.2801598425094898, -0.2845566340077382, -0.12608090315300685, 0.03215676667885138, -0.00981602301964393, -0.30601486706962955, 0.39108918234705925, -0.014586195349693298, 0.037977712658735424, -0.08246006358128327, 0.19280254955475146, -0.1560636369887596, 0.06349313230468677, -0.11525080585852265, 0.2105353012537727, 0.29138480642667186, 0.09318727211883435, -0.21029797629811442, 0.039968872944322914, 0.0731981646699401] |
709.0643 | Effects of interactions in transport through Aharonov-Bohm-Casher
interferometers | We study the conductance through a ring described by the Hubbard model (such
as an array of quantum dots), threaded by a magnetic flux and subject to Rashba
spin-orbit coupling (SOC). We develop a formalism that is able to describe the
interference effects as well as the Kondo effect when the number of electrons
in the ring is odd. In the Kondo regime, the SOC reduces the conductance from
the unitary limit, and in combination with the magnetic flux, the device acts
as a spin polarizer.
| cond-mat.str-el | we study the conductance through a ring described by the hubbard model such as an array of quantum dots threaded by a magnetic flux and subject to rashba spinorbit coupling soc we develop a formalism that is able to describe the interference effects as well as the kondo effect when the number of electrons in the ring is odd in the kondo regime the soc reduces the conductance from the unitary limit and in combination with the magnetic flux the device acts as a spin polarizer | [['we', 'study', 'the', 'conductance', 'through', 'a', 'ring', 'described', 'by', 'the', 'hubbard', 'model', 'such', 'as', 'an', 'array', 'of', 'quantum', 'dots', 'threaded', 'by', 'a', 'magnetic', 'flux', 'and', 'subject', 'to', 'rashba', 'spinorbit', 'coupling', 'soc', 'we', 'develop', 'a', 'formalism', 'that', 'is', 'able', 'to', 'describe', 'the', 'interference', 'effects', 'as', 'well', 'as', 'the', 'kondo', 'effect', 'when', 'the', 'number', 'of', 'electrons', 'in', 'the', 'ring', 'is', 'odd', 'in', 'the', 'kondo', 'regime', 'the', 'soc', 'reduces', 'the', 'conductance', 'from', 'the', 'unitary', 'limit', 'and', 'in', 'combination', 'with', 'the', 'magnetic', 'flux', 'the', 'device', 'acts', 'as', 'a', 'spin', 'polarizer']] | [-0.20613789611000588, 0.156390371338666, -0.0045631790295416535, 0.023536784799098102, 0.004868873308391072, -0.17118162146314633, 0.02999404021051474, 0.33891275488814815, -0.28044028820599926, -0.3154255822300911, -0.009563352364429468, -0.2633679605327373, -0.14937594355365566, 0.19595918451100156, 0.010431563489810499, -0.0329009297975274, -0.03216556547518257, -0.02229472949321187, -0.04043585713682046, -0.19418898261650358, 0.2905323797576996, 0.07007405142770907, 0.24487444157928748, 0.08842305372317516, 0.04772069672295867, 0.054940253734415356, 0.1310037033643227, 0.06826413120143116, -0.07978038416492149, -0.019570651615774908, 0.20541619614503065, -0.10849400131075188, 0.20000309692045978, -0.47742557183427864, -0.1500320985566738, 0.010464568449140982, 0.13486598415820059, 0.1585233058742529, -0.01219558967060821, -0.30552668913895653, -0.014766518145713002, -0.22690471850855407, -0.09725246816158814, -0.05391056314760516, 0.014438690975048515, -0.0016372525051972548, -0.30149197338019, 0.04071444976901592, 0.09272927944250621, 0.07483256520530165, -0.007931907980724476, -0.06128180115808581, -0.038789516263424834, 0.07064330429386965, 0.033827559062723764, 0.05058297431258874, 0.18189873164086495, -0.13373362013073856, -0.12573313123416588, 0.3804856733483977, -0.12954036194592888, -0.16497805220789688, 0.11031435361283637, -0.1624363355912528, -0.025750356471859092, 0.09599372784628771, 0.11538347980375727, 0.05390401468287374, -0.11333452983367458, 0.16668606895913146, -0.06471495686618742, 0.13444283674200347, -0.024421903859758967, 0.0900215395119821, 0.29035981800028143, 0.1874519727209063, 0.0879935045776683, 0.19427119234988335, -0.17687582924182332, -0.056052538501315335, -0.2726540166538122, -0.14164628767985263, -0.26347162464882656, 0.12383944594550358, -0.025321477661004052, -0.17773243487097842, 0.42911423610653293, 0.1706827615690959, 0.19203485621052774, -0.04256784766479287, 0.2800062558137227, 0.1595140089156366, 0.10583721785697826, 0.0526115098043594, 0.2220616169750344, 0.23757631785972694, 0.08404419210544506, -0.3519158969635989, -0.01345088503994914, 0.031758407320350755] |
709.0644 | One-loop Self-energy and Counterterms in a Massive Yang-Mills Theory
based on the Nonlinearly Realized Gauge Group | In this paper we evaluate the self-energy of the vector mesons at one loop in
our recently proposed subtraction scheme for massive nonlinearly realized SU(2)
Yang-Mills theory. We check the fulfillment of physical unitarity. The
resulting self-mass can be compared with the value obtained in the massive
Yang-Mills theory based on the Higgs mechanism, consisting in extra terms due
to the presence of the Higgs boson (tadpoles included). Moreover we evaluate
all the one-loop counterterms necessary for the next order calculations. By
construction they satisfy all the equations of the model (Slavnov-Taylor, local
functional equation and Landau gauge equation). They are sufficient to make all
the one-loop amplitudes finite through the hierarchy encoded in the local
functional equation.
| hep-th hep-ph | in this paper we evaluate the selfenergy of the vector mesons at one loop in our recently proposed subtraction scheme for massive nonlinearly realized su2 yangmills theory we check the fulfillment of physical unitarity the resulting selfmass can be compared with the value obtained in the massive yangmills theory based on the higgs mechanism consisting in extra terms due to the presence of the higgs boson tadpoles included moreover we evaluate all the oneloop counterterms necessary for the next order calculations by construction they satisfy all the equations of the model slavnovtaylor local functional equation and landau gauge equation they are sufficient to make all the oneloop amplitudes finite through the hierarchy encoded in the local functional equation | [['in', 'this', 'paper', 'we', 'evaluate', 'the', 'selfenergy', 'of', 'the', 'vector', 'mesons', 'at', 'one', 'loop', 'in', 'our', 'recently', 'proposed', 'subtraction', 'scheme', 'for', 'massive', 'nonlinearly', 'realized', 'su2', 'yangmills', 'theory', 'we', 'check', 'the', 'fulfillment', 'of', 'physical', 'unitarity', 'the', 'resulting', 'selfmass', 'can', 'be', 'compared', 'with', 'the', 'value', 'obtained', 'in', 'the', 'massive', 'yangmills', 'theory', 'based', 'on', 'the', 'higgs', 'mechanism', 'consisting', 'in', 'extra', 'terms', 'due', 'to', 'the', 'presence', 'of', 'the', 'higgs', 'boson', 'tadpoles', 'included', 'moreover', 'we', 'evaluate', 'all', 'the', 'oneloop', 'counterterms', 'necessary', 'for', 'the', 'next', 'order', 'calculations', 'by', 'construction', 'they', 'satisfy', 'all', 'the', 'equations', 'of', 'the', 'model', 'slavnovtaylor', 'local', 'functional', 'equation', 'and', 'landau', 'gauge', 'equation', 'they', 'are', 'sufficient', 'to', 'make', 'all', 'the', 'oneloop', 'amplitudes', 'finite', 'through', 'the', 'hierarchy', 'encoded', 'in', 'the', 'local', 'functional', 'equation']] | [-0.13267845495493483, 0.1600781416725683, -0.07073192451133441, 0.12714670056583738, -0.06519042162650848, -0.1077851679144522, 0.023644199716203483, 0.2890304514380582, -0.19213598275999144, -0.2623734562736699, 0.052937373060188496, -0.26309794372231776, -0.16088245857222858, 0.08983858098212819, 0.01898405652777371, 0.08399216436792828, 0.034462946038929965, 0.06618499077098855, -0.08736095849969187, -0.3311611227572785, 0.34936829537974073, 0.007292840528199292, 0.25369277556221614, 0.07974706621153943, 0.12089956268052554, 0.04284021810044424, -0.04076821624372407, -0.04084535913889186, -0.08732791085553876, 0.0881434501103378, 0.19837585373306094, 0.04401043188063649, 0.17954432104035453, -0.4531608145936566, -0.1792829130059483, 0.08883969482602709, 0.1575556077039406, 0.1459680110279281, 0.003057315999886684, -0.28849077152119856, 0.12605036817435808, -0.19504702509720256, -0.1594578352711416, -0.1330761425650947, -0.09785902006078069, -0.087270151137106, -0.2745944372914984, 0.07704934147107652, -0.06425460739755783, -0.0035864655382884863, -0.08315764384598755, -0.10522158725692307, -0.0884582653771928, 0.07111282574439073, 0.0943416870816737, 0.036728724079617, 0.09057030586478443, -0.1930452292138598, -0.10855653242531658, 0.4086408231198251, -0.1009774228082664, -0.2495631061936334, 0.13172047834062034, -0.14710340937362762, -0.16685223091251644, 0.0983990532054045, 0.12876204931634969, 0.10723799591530331, -0.1923194176880485, 0.19639780750385707, -0.01738320961515656, 0.1334907274349924, 0.08446719569856521, 0.06784853235013404, 0.17942086465151633, 0.08964385792526211, 0.0026303122206827846, 0.09460238326968373, -0.002420530857723522, -0.12949418296674425, -0.453076203227422, -0.1267685142379763, -0.08505019787560865, 0.018001576690240054, -0.11746259429381067, -0.1460644662048731, 0.38098958810165273, 0.17349495907842924, 0.13389615936331073, 0.040263203933629824, 0.28871171823623826, 0.21777395057438684, 0.12489313417572086, 0.07045924594483764, 0.2608097399253461, 0.18737002170321104, 0.07530767632395786, -0.2906700076724766, -0.04935755983184455, 0.18376774061865853] |
709.0645 | A Substellar Companion to the Intermediate-Mass Giant 11 Com | We report the detection of a substellar companion orbiting the
intermediate-mass giant star 11 Com (G8 III). Precise Doppler measurements of
the star from Xinglong station and Okayama Astrophysical Observatory (OAO)
revealed Keplerian velocity variations with an orbital period of 326.03 +/-
0.32 days, a semiamplitude of 302.8 +/- 2.6 m/s, and an eccentricity of 0.231
+/- 0.005. Adopting a stellar mass of 2.7 +/- 0.3 M_solar, the minimum mass of
the companion is 19.4 +/- 1.5 M_Jup, well above the deuterium burning limit,
and the semimajor axis is 1.29 +/- 0.05 AU. This is the first result from the
joint planet search program between China and Japan aiming at revealing
statistics of substellar companions around intermediate-mass giants. 11 Com b
emerged from 300 targets of the planet search program at OAO. The current
detection rate of a brown dwarf candidate seems to be comparable to that around
solar-type stars within orbital separations of $\sim$3 AU.
| astro-ph | we report the detection of a substellar companion orbiting the intermediatemass giant star 11 com g8 iii precise doppler measurements of the star from xinglong station and okayama astrophysical observatory oao revealed keplerian velocity variations with an orbital period of 32603 032 days a semiamplitude of 3028 26 ms and an eccentricity of 0231 0005 adopting a stellar mass of 27 03 m_solar the minimum mass of the companion is 194 15 m_jup well above the deuterium burning limit and the semimajor axis is 129 005 au this is the first result from the joint planet search program between china and japan aiming at revealing statistics of substellar companions around intermediatemass giants 11 com b emerged from 300 targets of the planet search program at oao the current detection rate of a brown dwarf candidate seems to be comparable to that around solartype stars within orbital separations of sim3 au | [['we', 'report', 'the', 'detection', 'of', 'a', 'substellar', 'companion', 'orbiting', 'the', 'intermediatemass', 'giant', 'star', '11', 'com', 'g8', 'iii', 'precise', 'doppler', 'measurements', 'of', 'the', 'star', 'from', 'xinglong', 'station', 'and', 'okayama', 'astrophysical', 'observatory', 'oao', 'revealed', 'keplerian', 'velocity', 'variations', 'with', 'an', 'orbital', 'period', 'of', '32603', '032', 'days', 'a', 'semiamplitude', 'of', '3028', '26', 'ms', 'and', 'an', 'eccentricity', 'of', '0231', '0005', 'adopting', 'a', 'stellar', 'mass', 'of', '27', '03', 'm_solar', 'the', 'minimum', 'mass', 'of', 'the', 'companion', 'is', '194', '15', 'm_jup', 'well', 'above', 'the', 'deuterium', 'burning', 'limit', 'and', 'the', 'semimajor', 'axis', 'is', '129', '005', 'au', 'this', 'is', 'the', 'first', 'result', 'from', 'the', 'joint', 'planet', 'search', 'program', 'between', 'china', 'and', 'japan', 'aiming', 'at', 'revealing', 'statistics', 'of', 'substellar', 'companions', 'around', 'intermediatemass', 'giants', '11', 'com', 'b', 'emerged', 'from', '300', 'targets', 'of', 'the', 'planet', 'search', 'program', 'at', 'oao', 'the', 'current', 'detection', 'rate', 'of', 'a', 'brown', 'dwarf', 'candidate', 'seems', 'to', 'be', 'comparable', 'to', 'that', 'around', 'solartype', 'stars', 'within', 'orbital', 'separations', 'of', 'sim3', 'au']] | [-0.12641767767764278, 0.14451857644852856, -0.06778615444973611, 0.044788558406430305, -0.11893112672455358, -0.06722672933856363, 0.12225848550739504, 0.3077801802686272, -0.11103883330341453, -0.43629968733895547, 0.07190369933706102, -0.31830548209485116, 0.028714629720690218, 0.20263041767773013, -0.09180097130514782, 0.013453596234071575, 0.18103863699705458, -0.03198997955610597, -0.06976485235972843, -0.2017320217134981, 0.22112189902730237, 0.0903616015574326, 0.022872951913049958, -0.03672797417255656, 0.06253342077154792, -0.07900308228282245, -0.031838379382513673, -0.181422630780464, -0.19557242250077203, -0.025431824185504208, 0.26545186811919796, 0.13245554773712018, 0.2076781641866937, -0.22802261755670478, -0.101934063398348, 0.0034861872910253154, 0.14112586811834935, -0.02470193356244306, -0.0520381788854431, -0.30891652831545213, 0.11050199855106489, -0.26030143437869596, -0.20647420428049496, 0.14697021734431986, 0.1498239310622378, -0.012708186590731543, -0.2673061335531232, 0.15139693921297515, 0.047852514399959384, 0.19797521196743287, -0.18441271469084508, -0.21398879832356868, -0.0900615294317046, 0.03134072500268535, 0.03554711752296144, 0.15137396742833542, 0.17034884498160857, -0.019162523478969632, -0.03154407591627748, 0.4072159580986372, -0.1436489718347388, 0.08370929974096225, 0.24697029029781736, -0.2468802014181403, -0.15340388151535753, 0.1827044875779808, 0.18014310791951, 0.19633647150417866, -0.18221138433034487, -0.038808754453085514, 0.02812668637225276, 0.2589304220406401, 0.12521664791540463, 0.020775735732980524, 0.4748316641159406, 0.17904603796414936, 0.057974911933989834, -0.02374644341625448, -0.3883584215987049, -0.029305181612929443, -0.12984587997198105, -0.09683723538182676, -0.13259138608188836, 0.09986178722309148, -0.1481758324025455, -0.04999312312786011, 0.3166182729348793, 0.10138174664891707, 0.19225794849167235, 0.014085795642845582, 0.25930779179145624, 0.05494332242985225, 0.08635395347469271, 0.1394402676937014, 0.3574076659927432, 0.22874200095003783, 0.13212942587439871, -0.2600100818090141, 0.03255856583119939, -0.024890296472136506] |
709.0646 | Algebraic solution of a graphene layer in a transverse electric and
perpendicular magnetic fields | We present an exact algebraic solution of a single graphene plane in
transverse electric and perpendicular magnetic fields. The method presented
gives both the eigen-values and the eigen-functions of the graphene plane. It
is shown that the eigen-states of the problem can be casted in terms of
coherent states, which appears in a natural way from the formalism.
| cond-mat.mes-hall | we present an exact algebraic solution of a single graphene plane in transverse electric and perpendicular magnetic fields the method presented gives both the eigenvalues and the eigenfunctions of the graphene plane it is shown that the eigenstates of the problem can be casted in terms of coherent states which appears in a natural way from the formalism | [['we', 'present', 'an', 'exact', 'algebraic', 'solution', 'of', 'a', 'single', 'graphene', 'plane', 'in', 'transverse', 'electric', 'and', 'perpendicular', 'magnetic', 'fields', 'the', 'method', 'presented', 'gives', 'both', 'the', 'eigenvalues', 'and', 'the', 'eigenfunctions', 'of', 'the', 'graphene', 'plane', 'it', 'is', 'shown', 'that', 'the', 'eigenstates', 'of', 'the', 'problem', 'can', 'be', 'casted', 'in', 'terms', 'of', 'coherent', 'states', 'which', 'appears', 'in', 'a', 'natural', 'way', 'from', 'the', 'formalism']] | [-0.18781741856043388, 0.10472586936671648, -0.09722069456595285, 0.040368209217658976, -0.03364169493253375, -0.05293588268024654, 0.004470560808087988, 0.34635417086297066, -0.29174285015926277, -0.26809798871520263, 0.0015144395453309447, -0.2498935121914436, -0.1623783386111709, 0.2182489237105795, -0.0017443168346352618, 0.04623749813642995, 0.06211826190802044, 0.047746530766117165, -0.05161435412772899, -0.17713041495981402, 0.2853370063199565, -0.007344996042806527, 0.312259214364217, 0.07798497918350943, 0.10158247955882087, 0.005987930906422693, 0.07539549107053156, 0.03133737745470014, -0.08118831654591586, 0.11687057114563529, 0.23824909987763085, 0.03388423896555243, 0.19445037761510447, -0.4402055338603155, -0.13973331486742044, 0.06071074354333867, 0.2063070674239184, 0.17409717571592473, -0.043789781630039215, -0.2902083035963909, 0.05149067127434858, -0.11412909935260641, -0.17219573376571823, -0.06401565557687969, -0.001805556689164248, -0.009605316188314865, -0.25759818409730134, 0.08588421274105022, 0.08414693935653837, 0.01413000041040881, -0.09699267630690131, -0.08415949368520223, -0.06407835330926524, 0.06934996834024787, 0.05114467136545813, 0.07432518071687684, 0.1049728886031642, -0.10403101825042917, -0.11345777784249392, 0.4127987724215049, -0.037882086788785865, -0.2614325572383301, 0.11516499277685993, -0.16048815851260362, -0.03827378801712445, 0.13085877294812737, 0.1343257924991435, 0.17023369016784146, -0.15040629660582233, 0.1521526340953203, -0.08115714544366145, 0.10042159126043834, 0.05647617523911698, 0.025047179801261116, 0.2355763271033507, 0.0822545444624948, 0.1001988436288104, 0.19810023590528952, -0.07247223149471242, -0.05983766300025685, -0.2826692078680057, -0.1716710466120401, -0.19338307133474356, 0.060779887151197885, -0.08942068808918803, -0.22570893961829855, 0.47788217182046383, 0.11634411209198678, 0.1999741178969371, -0.03496776983455016, 0.291735444876269, 0.20166281798597555, 0.04712601919690597, 0.05661025111852535, 0.2422274361236085, 0.2120384757752241, 0.10922989721313633, -0.2062981546382773, -0.00023524150862519084, 0.044986492167387544] |
709.0647 | Sharp constants related to the triangle inequality in Lorentz spaces | We study the Lorentz spaces $L^{p,s}(R,\mu)$ in the range $1<p<s\le \infty$,
for which the standard functional $$ ||f||_{p,s}=(\int_0^\infty
(t^{1/p}f^*(t))^s\frac{dt}{t})^{1/s}
$$ is only a quasi-norm. We find the optimal constant in the triangle
inequality for this quasi-norm, which leads us to consider the following
decomposition norm: $$ ||f||_{(p,s)}=\inf\bigg\{\sum_{k}||f_k||_{p,s}\bigg\},
$$ where the infimum is taken over all finite representations $f=\sum_{k}f_k. $
We also prove that the decomposition norm and the dual norm $$ ||f||_{p,s}'=
\sup\left\{\int_R fg d\mu: ||g||_{p',s'}=1\right\} $$ agree for all values
$p,s>1$.
| math.FA math.CA | we study the lorentz spaces lpsrmu in the range 1psle infty for which the standard functional f_psint_0infty t1pftsfracdtt1s is only a quasinorm we find the optimal constant in the triangle inequality for this quasinorm which leads us to consider the following decomposition norm f_psinfbiggsum_kf_k_psbigg where the infimum is taken over all finite representations fsum_kf_k we also prove that the decomposition norm and the dual norm f_ps supleftint_r fg dmu g_ps1right agree for all values ps1 | [['we', 'study', 'the', 'lorentz', 'spaces', 'lpsrmu', 'in', 'the', 'range', '1psle', 'infty', 'for', 'which', 'the', 'standard', 'functional', 'f_psint_0infty', 't1pftsfracdtt1s', 'is', 'only', 'a', 'quasinorm', 'we', 'find', 'the', 'optimal', 'constant', 'in', 'the', 'triangle', 'inequality', 'for', 'this', 'quasinorm', 'which', 'leads', 'us', 'to', 'consider', 'the', 'following', 'decomposition', 'norm', 'f_psinfbiggsum_kf_k_psbigg', 'where', 'the', 'infimum', 'is', 'taken', 'over', 'all', 'finite', 'representations', 'fsum_kf_k', 'we', 'also', 'prove', 'that', 'the', 'decomposition', 'norm', 'and', 'the', 'dual', 'norm', 'f_ps', 'supleftint_r', 'fg', 'dmu', 'g_ps1right', 'agree', 'for', 'all', 'values', 'ps1']] | [-0.0769168680547667, 0.09361857481634439, -0.07076567126596138, 0.09553861755134065, -0.04906895336236304, -0.095218807229522, -0.003826325389195178, 0.3529747730649229, -0.3462630497402887, -0.1784263154936593, 0.12854778404180794, -0.2740059132868452, -0.0901143532524358, 0.15373488625428125, -0.09962548229342966, 0.04678633762371497, 0.04775889284575163, 0.09898516510738366, -0.11873718744505253, -0.2474609303753823, 0.32079703757650596, -0.06661767089989648, 0.24132478028647045, 0.04799236079900345, 0.09580116860095912, 0.03176131838960434, 0.028897929179079053, 0.004521453071997237, -0.22012293129282354, 0.1208868282499598, 0.25009733362734987, 0.1238351166144069, 0.29724703962330834, -0.3394698622956205, -0.1652110124062469, 0.23211411320701686, 0.09050622961914806, -0.024452302705691153, 0.01691521234018033, -0.2243479513076704, 0.11793449100232058, -0.13455369330442218, -0.09004560390264908, -0.09692318669395215, 0.01809315717042382, -0.002967779291793704, -0.37667157709487337, 0.08481033645012527, 0.04375085710033552, -3.3013599076822625e-05, -0.17371001870218497, -0.17249332928557448, 0.07622727092855902, 0.10033083903262698, 0.04956497378306769, 0.08408216106594164, 0.04859740221038906, -0.049398238002670125, -0.02954129445185857, 0.36380392457567046, -0.07331172536724984, -0.22835090862058882, 0.06906775139800425, -0.20097736177493386, -0.1591106930038711, 0.04259139962438772, 0.10861227353826276, 0.14263793295110339, -0.0951823877003878, 0.19366323179130984, -0.10357622276824802, 0.1182633444107374, 0.09865315282133533, 0.06024233050950205, 0.02864577120114396, 0.04475120028286283, 0.18304136729062492, 0.11192966858620074, -0.04569489118962813, -0.09769654945633721, -0.3846370923096564, -0.2152251668948569, -0.1715442883545783, 0.0860056220206307, -0.1555971187717931, -0.14307118343439565, 0.3512717919952389, 0.07734090640251316, 0.20194033919764098, 0.1324600555565653, 0.23242740619427232, 0.12064565901658428, 0.07633848997430681, 0.09298163610719033, 0.2375244705367889, 0.14871737570501864, 0.02605137759089859, -0.2157571945033634, -0.0016170109886286864, 0.17158838002873] |
709.0648 | Rearrangement transformations on general measure spaces | For a general set transformation ${\cal R}$ between two measure spaces, we
define the rearrangement of a measurable function by means of the Layer's cake
formula. We study some functional properties of the Lorentz spaces defined in
terms of ${\cal R}$, giving a unified approach to the classical rearrangement,
Steiner's symmetrization, the multidimensional case, and the discrete setting
of trees.
| math.FA | for a general set transformation cal r between two measure spaces we define the rearrangement of a measurable function by means of the layers cake formula we study some functional properties of the lorentz spaces defined in terms of cal r giving a unified approach to the classical rearrangement steiners symmetrization the multidimensional case and the discrete setting of trees | [['for', 'a', 'general', 'set', 'transformation', 'cal', 'r', 'between', 'two', 'measure', 'spaces', 'we', 'define', 'the', 'rearrangement', 'of', 'a', 'measurable', 'function', 'by', 'means', 'of', 'the', 'layers', 'cake', 'formula', 'we', 'study', 'some', 'functional', 'properties', 'of', 'the', 'lorentz', 'spaces', 'defined', 'in', 'terms', 'of', 'cal', 'r', 'giving', 'a', 'unified', 'approach', 'to', 'the', 'classical', 'rearrangement', 'steiners', 'symmetrization', 'the', 'multidimensional', 'case', 'and', 'the', 'discrete', 'setting', 'of', 'trees']] | [-0.1323114893695068, 0.08753502359613777, -0.08237754699463645, 0.10870758128197243, -0.05296970984588067, -0.07074141841537009, 0.0628204768523574, 0.32234633105496563, -0.33782972549088297, -0.24198233283435305, 0.05014440568629652, -0.23741860349352162, -0.166567023905615, 0.14375394365439811, -0.07800346763494113, 0.050722338814133155, -0.012654374559254696, 0.0037792241123194496, -0.14278093174410364, -0.21375772502894202, 0.3578434328859051, -0.025809660165881116, 0.22160956018293898, 0.02975617782988896, 0.09543589213863016, 0.07753025356990596, -0.054211908190821605, 0.05735628598680099, -0.21263753335612515, 0.1782935695722699, 0.2080902299300457, 0.13035915135017906, 0.2824938906856308, -0.37593304524198173, -0.17391209504567087, 0.14867467221726352, 0.06251214034855365, -0.004106265779895087, 0.0022634315770119428, -0.26133220789876455, 0.052186884777620436, -0.17358397909653528, -0.11594271365708361, -0.09167460510507226, 0.049926503421738745, 0.017363280038504552, -0.3153247721493244, 0.05457921622261589, 0.09848190871998667, 0.04935889593713606, -0.062287811174367866, -0.05449113437401441, -0.011270147604712595, 0.06953233173117042, 0.005962705643226703, 0.06545828675152734, 0.09928972437046468, -0.050433761750658355, -0.12406190896872431, 0.37258143710593383, -0.05055517234529058, -0.2712050940841436, 0.14095865663451454, -0.17182990386306, -0.15745576322903312, 0.04578293280210346, 0.12168075696875652, 0.17767966638008753, -0.14558843872509897, 0.156811790446712, -0.09141420130617917, 0.06340161111826698, 0.10465452340431511, 0.06792263635143173, 0.11142360870726406, 0.11541849050360421, 0.09765303642489016, 0.21271264855749905, 0.01580593862842458, -0.10059574316837824, -0.3917877360557516, -0.21092567406594753, -0.16089387414976955, 0.05857816841453314, -0.1506990493486228, -0.20080576250329613, 0.37520262176791824, 0.023712343182220746, 0.20920378885542354, 0.10164215336553753, 0.19237596977424498, 0.12508870318051776, 0.04030971853256536, 0.011521277972497046, 0.11946468195189179, 0.18395889250872036, 0.02039014835221072, -0.14946400138239066, 0.002386440841170649, 0.1902479082190742] |
709.0649 | Oscillation of Tc depending on the number of CuO2 planes in the cuprates | Using the Tc formula given by BCS, together with a shear modulus varying with
the numbering of planes, we can demonstrate that Tc oscillates depending on the
number of the cuprate planes. The maximum of Tc in these oscillations appears
for three planes irrespective of the cuprate family. Comparison with
experimental data shows good agreement and suggests that the electron-phonon
coupling predominate in the superconductivity of these materials. This model
predicts that such oscillations can also occur in many others physical
quantities that depend on Tc. The new Tc formula shows interesting prospects
towards room temperature superconductors.
| cond-mat.supr-con cond-mat.mtrl-sci | using the tc formula given by bcs together with a shear modulus varying with the numbering of planes we can demonstrate that tc oscillates depending on the number of the cuprate planes the maximum of tc in these oscillations appears for three planes irrespective of the cuprate family comparison with experimental data shows good agreement and suggests that the electronphonon coupling predominate in the superconductivity of these materials this model predicts that such oscillations can also occur in many others physical quantities that depend on tc the new tc formula shows interesting prospects towards room temperature superconductors | [['using', 'the', 'tc', 'formula', 'given', 'by', 'bcs', 'together', 'with', 'a', 'shear', 'modulus', 'varying', 'with', 'the', 'numbering', 'of', 'planes', 'we', 'can', 'demonstrate', 'that', 'tc', 'oscillates', 'depending', 'on', 'the', 'number', 'of', 'the', 'cuprate', 'planes', 'the', 'maximum', 'of', 'tc', 'in', 'these', 'oscillations', 'appears', 'for', 'three', 'planes', 'irrespective', 'of', 'the', 'cuprate', 'family', 'comparison', 'with', 'experimental', 'data', 'shows', 'good', 'agreement', 'and', 'suggests', 'that', 'the', 'electronphonon', 'coupling', 'predominate', 'in', 'the', 'superconductivity', 'of', 'these', 'materials', 'this', 'model', 'predicts', 'that', 'such', 'oscillations', 'can', 'also', 'occur', 'in', 'many', 'others', 'physical', 'quantities', 'that', 'depend', 'on', 'tc', 'the', 'new', 'tc', 'formula', 'shows', 'interesting', 'prospects', 'towards', 'room', 'temperature', 'superconductors']] | [-0.20877417805364606, 0.2008552472659185, -0.04082288991986323, 0.024202559449345105, -0.070984429497387, -0.165402520923232, 0.12965314147859505, 0.34340692042689963, -0.2147616589461098, -0.3012028921433945, -0.005700768402431966, -0.33689064159989357, -0.12841023433444657, 0.2645971692460061, -0.022727807255804006, 0.025356245716822517, -0.014089727866674591, 0.03398928336184664, -0.15542789911083185, -0.2656562039652628, 0.3050003906042248, 0.005876441188540655, 0.3531990572522135, 0.08745645648996662, 0.03576402531423097, -0.019281690999668706, 0.09999341269554186, 0.06285390896319422, -0.17280525728980964, 0.051097947508864795, 0.2875093042960909, -0.020878956518760046, 0.1477249830663588, -0.3773404359817505, -0.23150891888905892, 0.027627397247004446, 0.15423916958478884, 0.12141884689593745, -0.0644764983834526, -0.21173216414172202, 0.0316250292865137, -0.09479624986859787, -0.12366917796586592, -0.09224378218176443, -0.024264040057422574, 0.033259955522863524, -0.22786096656291754, 0.13363780447110274, 0.02104061133391464, 0.11936663170873198, -0.08661954374695868, -0.1763087457199533, -0.0539648223418704, 0.019417239468275886, 0.11057217814119476, 0.047718016978007614, 0.11645212846798535, -0.0971607460337931, -0.06497998665250146, 0.33706635041054356, -0.0800655780446514, -0.043545464178566466, 0.1785258418045093, -0.16649785441509687, -0.1130298427066084, 0.12179757521929431, 0.07576787577745188, 0.041575287975198064, -0.10228728908162142, 0.051858706989676026, -0.06256884994158118, 0.20071054541880323, 0.06529794868619479, 0.06491663379853618, 0.2684337052026975, 0.20337646431049583, 0.019093285435354625, 0.12081489857939101, -0.07405635546028767, -0.04079997842920195, -0.2842597503469508, -0.17169923306029944, -0.16169847020418526, -0.0031871161586845046, -0.13904749708878447, -0.17315410984891286, 0.38075443218971033, 0.21061783048717939, 0.261225142783831, -0.016526032597445835, 0.1759454607675524, 0.07731123214837202, 0.1029273889065941, 0.05674142036202949, 0.2904915830802134, 0.13453189472034188, 0.11288190553848122, -0.28444380679926307, 0.11882894616766074, 0.007879288766302705] |
709.065 | Limit theorems for functionals on the facets of stationary random
tessellations | We observe stationary random tessellations $X=\{\Xi_n\}_{n\ge1}$ in
$\mathbb{R}^d$ through a convex sampling window $W$ that expands unboundedly
and we determine the total $(k-1)$-volume of those $(k-1)$-dimensional manifold
processes which are induced on the $k$-facets of $X$ ($1\le k\le d-1$) by their
intersections with the $(d-1)$-facets of independent and identically
distributed motion-invariant tessellations $X_n$ generated within each cell
$\Xi_n$ of $X$. The cases of $X$ being either a Poisson hyperplane tessellation
or a random tessellation with weak dependences are treated separately. In both
cases, however, we obtain that all of the total volumes measured in $W$ are
approximately normally distributed when $W$ is sufficiently large. Structural
formulae for mean values and asymptotic variances are derived and explicit
numerical values are given for planar Poisson--Voronoi tessellations (PVTs) and
Poisson line tessellations (PLTs).
| math.PR | we observe stationary random tessellations xxi_n_nge1 in mathbbrd through a convex sampling window w that expands unboundedly and we determine the total k1volume of those k1dimensional manifold processes which are induced on the kfacets of x 1le kle d1 by their intersections with the d1facets of independent and identically distributed motioninvariant tessellations x_n generated within each cell xi_n of x the cases of x being either a poisson hyperplane tessellation or a random tessellation with weak dependences are treated separately in both cases however we obtain that all of the total volumes measured in w are approximately normally distributed when w is sufficiently large structural formulae for mean values and asymptotic variances are derived and explicit numerical values are given for planar poissonvoronoi tessellations pvts and poisson line tessellations plts | [['we', 'observe', 'stationary', 'random', 'tessellations', 'xxi_n_nge1', 'in', 'mathbbrd', 'through', 'a', 'convex', 'sampling', 'window', 'w', 'that', 'expands', 'unboundedly', 'and', 'we', 'determine', 'the', 'total', 'k1volume', 'of', 'those', 'k1dimensional', 'manifold', 'processes', 'which', 'are', 'induced', 'on', 'the', 'kfacets', 'of', 'x', '1le', 'kle', 'd1', 'by', 'their', 'intersections', 'with', 'the', 'd1facets', 'of', 'independent', 'and', 'identically', 'distributed', 'motioninvariant', 'tessellations', 'x_n', 'generated', 'within', 'each', 'cell', 'xi_n', 'of', 'x', 'the', 'cases', 'of', 'x', 'being', 'either', 'a', 'poisson', 'hyperplane', 'tessellation', 'or', 'a', 'random', 'tessellation', 'with', 'weak', 'dependences', 'are', 'treated', 'separately', 'in', 'both', 'cases', 'however', 'we', 'obtain', 'that', 'all', 'of', 'the', 'total', 'volumes', 'measured', 'in', 'w', 'are', 'approximately', 'normally', 'distributed', 'when', 'w', 'is', 'sufficiently', 'large', 'structural', 'formulae', 'for', 'mean', 'values', 'and', 'asymptotic', 'variances', 'are', 'derived', 'and', 'explicit', 'numerical', 'values', 'are', 'given', 'for', 'planar', 'poissonvoronoi', 'tessellations', 'pvts', 'and', 'poisson', 'line', 'tessellations', 'plts']] | [-0.128484757334855, 0.18049438261651732, -0.004558703544298335, 0.024150471364717103, 0.01418029197255179, -0.14781937450687918, 0.04924983444202337, 0.4287707870973954, -0.2636849496528388, -0.20783694359725194, 0.09629710695414345, -0.3222634423088046, -0.08929228100544331, 0.14864256841847526, -0.0821261586388573, 0.040096388769655725, 0.013348960822137693, 0.04976610715005783, -0.0425432009348971, -0.2930721827738342, 0.2822601491204714, -0.03661176050081849, 0.26226967268638196, -0.06587550245569132, 0.12277015293800524, 0.007323467946936568, -0.05139486054614526, 0.06076290082051451, -0.1767738431601809, 0.08747990550251589, 0.23583538812540827, 0.07131701783827527, 0.20593669465077774, -0.3704017677477428, -0.1785387957158188, 0.18305499560480554, 0.18249584037056638, 0.011983733843191572, -0.00711590408750381, -0.2436274683901242, 0.137030373770921, -0.05001251888461411, -0.13463467940141166, -0.0415807932630063, 0.060956098176243284, 0.1442422236247535, -0.32889097354685265, 0.05588938436833107, 0.07973887038875431, 0.05590750957055697, -0.018935159949164483, -0.19897422949886984, -0.07149328852057575, 0.0928710714023697, -0.0015300529443525843, 0.022125423627181187, 0.1335264954813904, -0.04053370934811288, -0.0837270007616589, 0.3693996587147315, -0.009181818363094141, -0.294384172836703, 0.10513132413856625, -0.22337127911363033, -0.15035616159476045, 0.1782511110816683, 0.1656685825441927, 0.16555417789929797, -0.12035985889584509, 0.15488989372868903, -0.05748078716357076, 0.06130810537549209, 0.1269070841723107, 0.0029462995007634163, 0.15077720031822248, 0.08077914650378276, 0.09527151017738063, 0.1314102190552235, -0.0825049018705382, -0.09867467505428644, -0.3564314204342072, -0.10856041033929657, -0.21850376980959452, 0.10306599766518625, -0.21947180236898092, -0.2055452922506938, 0.2646046219622746, 0.03544764105777537, 0.24905845873974383, 0.10582648807238522, 0.21166416583490366, 0.09396293287771562, -0.018058169472386084, 0.09825638822826838, 0.0771053291354624, 0.15169728070770996, 0.007725815641086748, -0.09195053802862291, 0.056593744525878086, 0.09349786815795279] |
709.0651 | GRB970228 and a class of GRBs with an initial spikelike emission | (Shortened) The Swift and HETE-2 discovery of an afterglow associated
possibly with short GRBs opened the new problematic of their nature and
classification. This has been further enhanced by the GRB060614 observation and
by a re-analysis of the BATSE catalog leading to the identification of a new
GRB class with "an occasional softer extended emission lasting tenths of
seconds after an initial spikelike emission". We plan: a) to fit this new class
of "hybrid" sources within our "canonical GRB" scenario, where all GRBs are
generated by a "common engine" (i.e. the gravitational collapse to a black
hole); b) to propose GRB970228 as the prototype of the such a class. We analyze
BeppoSAX data on GRB970228 in the 40-700 keV and 2-26 keV energy bands within
the "fireshell" model. We find that GRB970228 is a "canonical GRB", like e.g.
GRB050315, with the main peculiarity of a particularly low CircumBurst Medium
(CBM) average density n_{cbm}~10^{-3} #/cm^3. We also simulate the light curve
corresponding to a rescaled CBM density profile with n_{cbm}=1 #/cm^3. From
such a comparison it follows that the total time-integrated luminosity is a
faithful indicator of the GRB nature, contrary to the peak luminosity which is
merely a function of the CBM density. We call attention on discriminating the
short GRBs between the "genuine" and the "fake" ones. The "genuine" ones are
intrinsically short, with baryon loading B \la 10^{-5}, as stated in our
original classification. The "fake" ones, characterized by an initial spikelike
emission followed by an extended emission lasting tenths of seconds, have a
baryon loading 10^{-4} \la B \leq 10^{-2}. They are observed as such only due
to an underdense CBM consistent with a galactic halo environment which deflates
the afterglow intensity.
| astro-ph | shortened the swift and hete2 discovery of an afterglow associated possibly with short grbs opened the new problematic of their nature and classification this has been further enhanced by the grb060614 observation and by a reanalysis of the batse catalog leading to the identification of a new grb class with an occasional softer extended emission lasting tenths of seconds after an initial spikelike emission we plan a to fit this new class of hybrid sources within our canonical grb scenario where all grbs are generated by a common engine ie the gravitational collapse to a black hole b to propose grb970228 as the prototype of the such a class we analyze bepposax data on grb970228 in the 40700 kev and 226 kev energy bands within the fireshell model we find that grb970228 is a canonical grb like eg grb050315 with the main peculiarity of a particularly low circumburst medium cbm average density n_cbm103 cm3 we also simulate the light curve corresponding to a rescaled cbm density profile with n_cbm1 cm3 from such a comparison it follows that the total timeintegrated luminosity is a faithful indicator of the grb nature contrary to the peak luminosity which is merely a function of the cbm density we call attention on discriminating the short grbs between the genuine and the fake ones the genuine ones are intrinsically short with baryon loading b la 105 as stated in our original classification the fake ones characterized by an initial spikelike emission followed by an extended emission lasting tenths of seconds have a baryon loading 104 la b leq 102 they are observed as such only due to an underdense cbm consistent with a galactic halo environment which deflates the afterglow intensity | [['shortened', 'the', 'swift', 'and', 'hete2', 'discovery', 'of', 'an', 'afterglow', 'associated', 'possibly', 'with', 'short', 'grbs', 'opened', 'the', 'new', 'problematic', 'of', 'their', 'nature', 'and', 'classification', 'this', 'has', 'been', 'further', 'enhanced', 'by', 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709.0652 | Many Body Symmetrical Dynamical Systems | We investigate the stability of few body symmetrical dynamical systems which
include four and five body symmetrical dynamical systems. Research presented in
this thesis includes the following original investigations: determination of
some analytical solutions of the four body problem; stability analysis of the
near symmetric coplanar CSFBP ; derivation of the analytical stability
criterion valid for all time for a special symmetric configuration of the
general five-body problem, the CS5BP, which exhibits many of the salient
characteristics of the general five body problem; numerical investigation of
the hierarchical stability of the CS5BP and derivation of the stability
criterion for the CSNBP.
| math-ph math.MP | we investigate the stability of few body symmetrical dynamical systems which include four and five body symmetrical dynamical systems research presented in this thesis includes the following original investigations determination of some analytical solutions of the four body problem stability analysis of the near symmetric coplanar csfbp derivation of the analytical stability criterion valid for all time for a special symmetric configuration of the general fivebody problem the cs5bp which exhibits many of the salient characteristics of the general five body problem numerical investigation of the hierarchical stability of the cs5bp and derivation of the stability criterion for the csnbp | [['we', 'investigate', 'the', 'stability', 'of', 'few', 'body', 'symmetrical', 'dynamical', 'systems', 'which', 'include', 'four', 'and', 'five', 'body', 'symmetrical', 'dynamical', 'systems', 'research', 'presented', 'in', 'this', 'thesis', 'includes', 'the', 'following', 'original', 'investigations', 'determination', 'of', 'some', 'analytical', 'solutions', 'of', 'the', 'four', 'body', 'problem', 'stability', 'analysis', 'of', 'the', 'near', 'symmetric', 'coplanar', 'csfbp', 'derivation', 'of', 'the', 'analytical', 'stability', 'criterion', 'valid', 'for', 'all', 'time', 'for', 'a', 'special', 'symmetric', 'configuration', 'of', 'the', 'general', 'fivebody', 'problem', 'the', 'cs5bp', 'which', 'exhibits', 'many', 'of', 'the', 'salient', 'characteristics', 'of', 'the', 'general', 'five', 'body', 'problem', 'numerical', 'investigation', 'of', 'the', 'hierarchical', 'stability', 'of', 'the', 'cs5bp', 'and', 'derivation', 'of', 'the', 'stability', 'criterion', 'for', 'the', 'csnbp']] | [-0.1879491910804063, -0.0054819361442544805, -0.06657812245733415, 0.021497689850851504, -0.02446619520681755, -0.12107580202427926, 0.00010712948278523982, 0.26151461348248023, -0.19519910944412308, -0.2756858985327805, 0.163058713911596, -0.2460512922674146, -0.16820655285846442, 0.1891746484907344, 0.0027100628843375794, 0.1069775889821661, 0.06342842178613257, 0.04343335016164929, -0.09971873182075797, -0.196120821430668, 0.3577181762860467, -0.005016080744098872, 0.25099213269519777, 0.032947820446376376, 0.06428009028589561, 0.05576996270004505, -0.05327117913111579, 0.041294096891457834, -0.18091794682792775, 0.13908782830947075, 0.190900297248542, 0.13591941898630466, 0.27887760230805725, -0.3854331262312674, -0.21603587191687743, 0.059966906264889985, 0.12360066811864574, 0.13573672039152976, -0.05637920666291999, -0.25143139289381605, 0.08530255596269853, -0.17325978712566817, -0.22647093513902897, -0.045975679953699, 0.04709421037114225, 0.021365349045178544, -0.22580732508019233, 0.09101907561610763, 0.1407099022441495, 0.07748351585663234, -0.17318308608567654, -0.12699208984607444, 0.012394489080179483, 0.13564119189201543, 0.06213793383600811, -0.07489919512590859, 0.0938503913882111, -0.09362588151270756, -0.08884748083801242, 0.41326615680009127, 0.025055319092643913, -0.21307381658698432, 0.19162570914098373, -0.1488272961966383, -0.16493050968620082, 0.12361778397098533, 0.1836478848636034, 0.16273294278653339, -0.18906513372591385, 0.04945059845219172, -0.07251471331498276, 0.11462580025302789, 0.07500346628997552, 0.04112845070024681, 0.20342391203060592, 0.18784725953385836, 0.04159476277163776, 0.1836857316472257, -0.03513294433165962, -0.19925167603651062, -0.3187199313736831, -0.12210430410050321, -0.09760662716507795, -0.010582183762987066, -0.10322890938520383, -0.20130372181301937, 0.47871107580916333, 0.10916278578224592, 0.13768578276600843, 0.029166518591713004, 0.28579626195520785, 0.08024819429556374, -0.015225469491876234, 0.012719278432390032, 0.3005400879789401, 0.15253617972969855, 0.07307944669931506, -0.25925750073899206, 0.012389101320877671, 0.06905234699176314] |
709.0653 | Creating and preserving multi-partite entanglement with spin chains | We show how multi-partite entanglement, such as of W-state form, can be
created in branched spin chain systems. We also discuss the preservation of
such entanglement, once created. The technique could be applied to actual spin
chain systems, or to other physical systems such as strings of coupled quantum
dots, molecules or atoms.
| quant-ph | we show how multipartite entanglement such as of wstate form can be created in branched spin chain systems we also discuss the preservation of such entanglement once created the technique could be applied to actual spin chain systems or to other physical systems such as strings of coupled quantum dots molecules or atoms | [['we', 'show', 'how', 'multipartite', 'entanglement', 'such', 'as', 'of', 'wstate', 'form', 'can', 'be', 'created', 'in', 'branched', 'spin', 'chain', 'systems', 'we', 'also', 'discuss', 'the', 'preservation', 'of', 'such', 'entanglement', 'once', 'created', 'the', 'technique', 'could', 'be', 'applied', 'to', 'actual', 'spin', 'chain', 'systems', 'or', 'to', 'other', 'physical', 'systems', 'such', 'as', 'strings', 'of', 'coupled', 'quantum', 'dots', 'molecules', 'or', 'atoms']] | [-0.15691921013003252, 0.235669751634013, -0.03541752945561454, 0.0758625328681379, 0.025595048934502422, -0.21145957096848847, -0.012011256754257769, 0.4013026498152681, -0.3273817077279091, -0.27051757447386404, 0.09538508194085774, -0.29142731004658173, -0.11858367144112598, 0.1982244398040732, 0.0048585839499280135, 0.09478502906858921, 0.05786869495026416, 0.052526777504750016, -0.03071483016400686, -0.25337550370022655, 0.3091342239377071, -0.013340148198383176, 0.23544325328098153, 0.08679037310956221, 0.06825962841932504, 0.022695655969656864, 0.11038346252984034, 0.03989638340712156, -0.08829774961912266, 0.08334941761392467, 0.2915060554613482, 0.14066766582007678, 0.13136633893228927, -0.5076846264232442, -0.21865277057337873, 0.15103739085343648, 0.2170826423175211, 0.23894522852650932, -0.013780822538120567, -0.3092156027988443, 0.0016060697512244278, -0.22135681033415613, -0.1337772786336125, -0.14499016317872787, -0.03258106463922644, 0.0507003742463465, -0.19635816946414844, 0.06327506338788706, 0.08001418668284731, 0.04267130293092638, 0.05149997474695995, -0.040366314949010905, -0.05827762313046545, 0.1298365647605849, -0.04838275701194158, -0.0007416522481812621, 0.2176224715339969, -0.09148698954684835, -0.20176933797181779, 0.39108623680219334, -0.06418555811539574, -0.21106530356941358, 0.22534920716271648, -0.0857504749986923, -0.146755938198558, -0.004521659303034814, 0.1642105806056621, 0.10106807465682614, -0.13408807698935973, 0.00682619026036195, 0.0036627548166884567, 0.19661572491222956, 0.07421075371709072, 0.1663907900593191, 0.2842049778456677, 0.09923214078792986, 0.07406144806201446, 0.23972731052550822, -0.044565455239175, -0.12996520147272297, -0.21491774164561955, -0.2576095935062699, -0.24781630481681172, 0.14498560840509972, -0.030817241091632617, -0.13734855884158947, 0.35721983529961193, 0.1304129169461274, 0.14195050814030868, -0.07790103232716473, 0.2099239014018819, 0.09187777504272196, 0.09760034043904182, 0.01296986460263999, 0.1668559126907362, 0.1337557112411508, 0.014059776218414729, -0.2357243950114111, 0.020960229809202674, 0.007429336865414989] |
709.0654 | Mapping Neutral Hydrogen During Reionization with the Ly-alpha Emission
from Quasar Ionization Fronts | We present a new method to directly map the neutral-hydrogen distribution
during the reionization epoch and to constrain the emission properties of the
highest-redshift quasars (QSOs). As a tracer of HI, we propose to use the
Ly-alpha radiation produced by quasar ionization fronts (I-fronts) that expand
in the partially ionized intergalactic medium (IGM) before reionization is
complete. These Ly-alpha photons are mainly generated by collisional
excitations of hydrogen atoms in the boundary of the rapidly expanding HII
region. The observable signal is produced by the part of the I-front that lies
behind the QSO with respect to the observer. Combining two radiative transfer
models (one for the QSO ionizing radiation and one for the Ly-alpha photons),
we estimate the expected Ly-alpha spectral shape and surface brightness (SB)
for a large number of configurations where we varied both the properties of the
ionizing QSO and of the surrounding medium. We find that the expected signal is
observable as a single (broad) emission line with a characteristic width of
100-200 km/s. The expected SB produced at redshift z~6.5 within a fully neutral
region (at mean density) by a typical QSO I-front lies in the range
$10^{-21}-10^{-20}$ erg s$^{-1}$ cm$^{-2}$ arcsec$^{-2}$ and decreases
proportionally to $(1+z)^2$ for a given QSO age. QSOs with harder spectra may
produce a significantly brighter emission at early phases. The signal may cover
up to a few hundred square arcmin on the sky and should be already detectable
with current facilities by means of moderate/high resolution spectroscopy. The
detection of this Ly-alpha emission can shed new light on the reionization
history, the age and the emission properties of the highest-redshift QSOs.
(abridged)
| astro-ph | we present a new method to directly map the neutralhydrogen distribution during the reionization epoch and to constrain the emission properties of the highestredshift quasars qsos as a tracer of hi we propose to use the lyalpha radiation produced by quasar ionization fronts ifronts that expand in the partially ionized intergalactic medium igm before reionization is complete these lyalpha photons are mainly generated by collisional excitations of hydrogen atoms in the boundary of the rapidly expanding hii region the observable signal is produced by the part of the ifront that lies behind the qso with respect to the observer combining two radiative transfer models one for the qso ionizing radiation and one for the lyalpha photons we estimate the expected lyalpha spectral shape and surface brightness sb for a large number of configurations where we varied both the properties of the ionizing qso and of the surrounding medium we find that the expected signal is observable as a single broad emission line with a characteristic width of 100200 kms the expected sb produced at redshift z65 within a fully neutral region at mean density by a typical qso ifront lies in the range 10211020 erg s1 cm2 arcsec2 and decreases proportionally to 1z2 for a given qso age qsos with harder spectra may produce a significantly brighter emission at early phases the signal may cover up to a few hundred square arcmin on the sky and should be already detectable with current facilities by means of moderatehigh resolution spectroscopy the detection of this lyalpha emission can shed new light on the reionization history the age and the emission properties of the highestredshift qsos abridged | [['we', 'present', 'a', 'new', 'method', 'to', 'directly', 'map', 'the', 'neutralhydrogen', 'distribution', 'during', 'the', 'reionization', 'epoch', 'and', 'to', 'constrain', 'the', 'emission', 'properties', 'of', 'the', 'highestredshift', 'quasars', 'qsos', 'as', 'a', 'tracer', 'of', 'hi', 'we', 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'properties', 'of', 'the', 'ionizing', 'qso', 'and', 'of', 'the', 'surrounding', 'medium', 'we', 'find', 'that', 'the', 'expected', 'signal', 'is', 'observable', 'as', 'a', 'single', 'broad', 'emission', 'line', 'with', 'a', 'characteristic', 'width', 'of', '100200', 'kms', 'the', 'expected', 'sb', 'produced', 'at', 'redshift', 'z65', 'within', 'a', 'fully', 'neutral', 'region', 'at', 'mean', 'density', 'by', 'a', 'typical', 'qso', 'ifront', 'lies', 'in', 'the', 'range', '10211020', 'erg', 's1', 'cm2', 'arcsec2', 'and', 'decreases', 'proportionally', 'to', '1z2', 'for', 'a', 'given', 'qso', 'age', 'qsos', 'with', 'harder', 'spectra', 'may', 'produce', 'a', 'significantly', 'brighter', 'emission', 'at', 'early', 'phases', 'the', 'signal', 'may', 'cover', 'up', 'to', 'a', 'few', 'hundred', 'square', 'arcmin', 'on', 'the', 'sky', 'and', 'should', 'be', 'already', 'detectable', 'with', 'current', 'facilities', 'by', 'means', 'of', 'moderatehigh', 'resolution', 'spectroscopy', 'the', 'detection', 'of', 'this', 'lyalpha', 'emission', 'can', 'shed', 'new', 'light', 'on', 'the', 'reionization', 'history', 'the', 'age', 'and', 'the', 'emission', 'properties', 'of', 'the', 'highestredshift', 'qsos', 'abridged']] | [-0.017119377790613358, 0.14469721239749275, -0.018205717264848587, 0.08627819732230689, -0.08125562826171517, -0.06778976125233285, 0.022581329964094492, 0.4645217293839315, -0.16478366036848216, -0.3089001267705362, 0.031006512316131465, -0.3348553637076756, 0.03566047533619091, 0.17173762974050408, 0.025912142842078423, -0.04552122834650288, 0.005905024255301817, -0.10457444554808867, -0.011213172387854953, -0.2598150362757004, 0.3005918855625358, 0.12163835173379374, 0.16796998130566962, 0.02909500235154365, 0.1009722285705274, -0.09663177802032985, -0.07807558097066072, -0.013661667754048066, -0.13440898447183977, 0.043854131030717065, 0.24249708245742324, 0.17184059745013255, 0.23920385716244197, -0.33091498562049515, -0.23875315558683852, 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-0.10573340298807514, -0.14000703217018218, 0.1317914612569945, -0.12666851010830474, -0.13719221872222975, 0.38689697694524633, 0.16539205174557114, 0.2415348003309684, 0.05755156702140257, 0.33487796296805633, 0.12490235407147625, 0.05845823097503283, 0.08332787270081185, 0.32376620474343115, 0.1708866521509726, 0.09040077390224287, -0.21171334721557386, 0.07711287561783588, 0.007896005176220963] |
709.0655 | Colored Spin Systems, BKP Evolution and finite N_c effects | Even within the framework of the leading logarithmic approximation the
eigenvalues of the BKP kernel for states of more than three reggeized gluons
are unknown in general, contrary to the planar limit case where the problem
becomes integrable. We consider a 4-gluon kernel for a finite number of colors
and define some simple toy models for the configuration space dynamics, which
are directly solvable with group theoretical methods. Then we study the
dependence of the spectrum of these models with respect to the number of colors
and make comparisons with the large limit case.
| hep-th | even within the framework of the leading logarithmic approximation the eigenvalues of the bkp kernel for states of more than three reggeized gluons are unknown in general contrary to the planar limit case where the problem becomes integrable we consider a 4gluon kernel for a finite number of colors and define some simple toy models for the configuration space dynamics which are directly solvable with group theoretical methods then we study the dependence of the spectrum of these models with respect to the number of colors and make comparisons with the large limit case | [['even', 'within', 'the', 'framework', 'of', 'the', 'leading', 'logarithmic', 'approximation', 'the', 'eigenvalues', 'of', 'the', 'bkp', 'kernel', 'for', 'states', 'of', 'more', 'than', 'three', 'reggeized', 'gluons', 'are', 'unknown', 'in', 'general', 'contrary', 'to', 'the', 'planar', 'limit', 'case', 'where', 'the', 'problem', 'becomes', 'integrable', 'we', 'consider', 'a', '4gluon', 'kernel', 'for', 'a', 'finite', 'number', 'of', 'colors', 'and', 'define', 'some', 'simple', 'toy', 'models', 'for', 'the', 'configuration', 'space', 'dynamics', 'which', 'are', 'directly', 'solvable', 'with', 'group', 'theoretical', 'methods', 'then', 'we', 'study', 'the', 'dependence', 'of', 'the', 'spectrum', 'of', 'these', 'models', 'with', 'respect', 'to', 'the', 'number', 'of', 'colors', 'and', 'make', 'comparisons', 'with', 'the', 'large', 'limit', 'case']] | [-0.07424669388181313, 0.12379557083539189, -0.07661453240174562, 0.09689538615775552, -0.06391931447557155, -0.13070742316306272, 0.012641509587720453, 0.35900031511691655, -0.21839616608687062, -0.2807155844657632, 0.094527611572127, -0.308349017103381, -0.11819857415406311, 0.1673657562326085, -0.0071413734595865965, 0.04851402317550271, 0.05806453143583333, 0.06104086186895345, -0.0683187584942603, -0.24419796365645138, 0.36411668255211826, -0.019744009076756365, 0.2190227421221046, 0.03164078660081438, 0.06436928739137154, 0.028225179816140457, -0.0076537295393249456, 0.022778333976872244, -0.1107218999767359, 0.10657361766107955, 0.22121177837006473, 0.050487466473528676, 0.23434836663147238, -0.41663944943154113, -0.18779381767826828, 0.16346049660499742, 0.1267885165487198, 0.1173041700670357, 0.02793388390350725, -0.22098030064235183, 0.06511629732731888, -0.18035539207445023, -0.16588471951136524, -0.0626222714088223, 0.028519512474304065, -7.352473442145484e-06, -0.28543166172234935, 0.054637681078562074, 0.027380011034534968, 0.016059550895853193, -0.043569468298649536, -0.1239010915890871, 0.010914580554681573, 0.10380270443064102, 0.0465000150960553, 0.007422559585006154, 0.04049516876941507, -0.178824320277001, -0.09705890534306935, 0.39875077267989834, -0.06062741129627536, -0.2481495443969331, 0.18411415402079, -0.15991718423097057, -0.14939541624304145, 0.08894368267740108, 0.1558819747470478, 0.15440104868537943, -0.10810657998824373, 0.12794047681134232, -0.07329125800467234, 0.11692792667630822, 0.026333045454676005, 0.048819447665083955, 0.14135136544466653, 0.1595080305148471, 0.06186904770599559, 0.16286114137619734, -0.054342155542937996, -0.13509975581682546, -0.3323126286961772, -0.09951921714905729, -0.16355738629329394, 0.015925572055609936, -0.14267572226031297, -0.19595552701750732, 0.4040963311154554, 0.14073960808541705, 0.233661972739278, 0.1359778685666165, 0.25782016617929604, 0.17116008018282183, 0.0342542513253841, 0.09692079842368022, 0.19873210451066584, 0.1517399899027449, 0.003400296141254775, -0.21431232082776408, 0.0034067522823572794, 0.08583071803119272] |
709.0656 | Hidden Fermi Liquid: The Secret of High Tc Cuprates | I present a formalism for dealing directly with the effects of the Gutzwiller
projection, which is implicit in the t-J model widely believed to underly the
phenomenology of the high-Tc cuprates. I suggest that a true BCS condensation
from a Fermi liquid state takes place, but in the unphysical space prior to
projection. The theory which results upon projection does not follow
conventional rules of diagram theory and in fact in the normal state is a Z=0
non-Fermi liquid. Anomalous properties of this strange metal normal state are
predicted and compared to experiments.
| cond-mat.str-el cond-mat.supr-con | i present a formalism for dealing directly with the effects of the gutzwiller projection which is implicit in the tj model widely believed to underly the phenomenology of the hightc cuprates i suggest that a true bcs condensation from a fermi liquid state takes place but in the unphysical space prior to projection the theory which results upon projection does not follow conventional rules of diagram theory and in fact in the normal state is a z0 nonfermi liquid anomalous properties of this strange metal normal state are predicted and compared to experiments | [['i', 'present', 'a', 'formalism', 'for', 'dealing', 'directly', 'with', 'the', 'effects', 'of', 'the', 'gutzwiller', 'projection', 'which', 'is', 'implicit', 'in', 'the', 'tj', 'model', 'widely', 'believed', 'to', 'underly', 'the', 'phenomenology', 'of', 'the', 'hightc', 'cuprates', 'i', 'suggest', 'that', 'a', 'true', 'bcs', 'condensation', 'from', 'a', 'fermi', 'liquid', 'state', 'takes', 'place', 'but', 'in', 'the', 'unphysical', 'space', 'prior', 'to', 'projection', 'the', 'theory', 'which', 'results', 'upon', 'projection', 'does', 'not', 'follow', 'conventional', 'rules', 'of', 'diagram', 'theory', 'and', 'in', 'fact', 'in', 'the', 'normal', 'state', 'is', 'a', 'z0', 'nonfermi', 'liquid', 'anomalous', 'properties', 'of', 'this', 'strange', 'metal', 'normal', 'state', 'are', 'predicted', 'and', 'compared', 'to', 'experiments']] | [-0.07363779265784047, 0.17939161894322242, -0.1723272977496988, 0.12209063121092616, -0.07414873415023408, -0.14585952467775792, 0.10094668320129796, 0.3216870823895098, -0.23500108729887714, -0.22941219714540306, 0.011798895284613614, -0.30608671245675895, -0.12493988948206665, 0.1386573581871206, -0.019827282504348825, 0.009347766356152152, -0.028837406104655877, 0.014147780895713837, -0.18580423127008622, -0.2259040146825775, 0.32043063798819177, -0.012715916173101994, 0.34923708629143496, 0.019434469989851436, 0.05673404788267949, -0.019419561841234726, 0.0461357648444352, 0.01902301046310083, -0.09598221764338055, 0.03469415610876455, 0.27458465526190895, 0.028143825900730907, 0.19196964598070548, -0.4257491843234147, -0.2553852386972917, 0.025978489258196406, 0.12874870331236912, 0.15531384089951633, -0.035212879149263264, -0.28953504866810253, -0.007329504078839936, -0.1870657592280818, -0.15271265439498888, -0.08815029404696918, -0.036370215096300645, -0.04310548207559873, -0.22103729620275478, 0.10411014798177426, 0.09579922278131288, -0.0003000364428566348, -0.07015736774361182, -0.15417031467121134, -0.015095007175239183, 0.03569493678608729, 0.05411579417220006, 0.0908612628237054, 0.11859815215919747, -0.17556401069516375, -0.0731912580549076, 0.3954466215625245, -0.046935622980918294, -0.13714534859423355, 0.21055502837063164, -0.20320555130119927, -0.10996733067972805, 0.16222611738128528, 0.0884228949679152, 0.07554404950270088, -0.1404343495190504, 0.07776787890476845, -0.07632460192056192, 0.16161899720268544, -0.05620070880964919, 0.02076932668225259, 0.22832802438768007, 0.19634997986897987, -0.003181470705757058, 0.06583212929657631, -0.08997811639421088, -0.15113932697943622, -0.29399501400128486, -0.17985827438205496, -0.18995146388288148, 0.026888010244952985, -0.007522543486375462, -0.20784768774875148, 0.3516717503718551, 0.17098012706264853, 0.20994422350470626, -0.02942229280378469, 0.24282767135469663, 0.09509146170470342, 0.07301658769989366, 0.04400772799647624, 0.26852482705006514, 0.1340036903037339, 0.0837204036232765, -0.26770729963888, 0.10872054018921429, 0.10771810124197634] |
709.0657 | Quasi-Normal Modes and Gravitational Wave Astronomy | We review the main results obtained in the literature on quasi-normal modes
of compact stars and black holes, in the light of recent exciting developments
of gravitational wave detectors. Quasi-normal modes are a fundamental feature
of the gravitational signal emitted by compact objects in many astrophysical
processes; we will show that their eigenfrequencies encode interesting
information on the nature and on the inner structure of the emitting source and
we will discuss whether we are ready for a gravitational wave asteroseismology.
| gr-qc astro-ph | we review the main results obtained in the literature on quasinormal modes of compact stars and black holes in the light of recent exciting developments of gravitational wave detectors quasinormal modes are a fundamental feature of the gravitational signal emitted by compact objects in many astrophysical processes we will show that their eigenfrequencies encode interesting information on the nature and on the inner structure of the emitting source and we will discuss whether we are ready for a gravitational wave asteroseismology | [['we', 'review', 'the', 'main', 'results', 'obtained', 'in', 'the', 'literature', 'on', 'quasinormal', 'modes', 'of', 'compact', 'stars', 'and', 'black', 'holes', 'in', 'the', 'light', 'of', 'recent', 'exciting', 'developments', 'of', 'gravitational', 'wave', 'detectors', 'quasinormal', 'modes', 'are', 'a', 'fundamental', 'feature', 'of', 'the', 'gravitational', 'signal', 'emitted', 'by', 'compact', 'objects', 'in', 'many', 'astrophysical', 'processes', 'we', 'will', 'show', 'that', 'their', 'eigenfrequencies', 'encode', 'interesting', 'information', 'on', 'the', 'nature', 'and', 'on', 'the', 'inner', 'structure', 'of', 'the', 'emitting', 'source', 'and', 'we', 'will', 'discuss', 'whether', 'we', 'are', 'ready', 'for', 'a', 'gravitational', 'wave', 'asteroseismology']] | [-0.17395193839192757, 0.16363551233101775, -0.08698145387533271, 0.1047646708906496, -0.15552922030106003, -0.01921025590028292, -0.0017016058051843703, 0.3766975193111985, -0.1734403229697987, -0.24772042392488616, 0.09587666927118223, -0.32116785816802285, -0.1580433930143898, 0.2902491177305763, -0.015131405163786294, 0.0608812424549718, 0.0862333082858427, 0.033602856668747134, -0.05081059797207055, -0.1727413290904628, 0.3866378408310544, 0.07059018525444431, 0.19617705132214375, 0.015707716337163693, 0.053706011079527716, -0.037466947368725585, -0.09334721459926647, -0.05955403003795647, -0.13409605151213733, 0.11966106219700089, 0.27045861530451126, 0.21046322782489438, 0.1986354681358523, -0.44610597625558757, -0.24317205353513544, 0.03150294026083968, 0.1598480038566193, 0.13684414821550434, -0.11130913963144715, -0.3258617239670805, 0.04911683490614832, -0.12808457135372323, -0.13602711679413915, -0.02692106465038694, 0.08228914467272935, 0.04266443306488203, -0.1660548987558376, 0.02483323268322159, 0.06178032232011542, -0.06370245479047298, -0.09664900999884178, -0.092756779588483, 0.006159019231060405, 0.10776242536757095, 0.07551037950619457, -0.011036290236702764, 0.16169294358495576, -0.13882268688721974, -0.1043776229230894, 0.3686714641013999, -0.08553619494512217, -0.14862022640896433, 0.2179249843099603, -0.24630108760255906, -0.16045401446567273, 0.0980542715937819, 0.23046619338155896, 0.15869208329851614, -0.12057374445448434, 0.06237828057549641, 0.0219443156732459, 0.1446789168741232, 0.10964385316028823, 0.15796084753180176, 0.3988917955703298, 0.13091168232997993, -0.03758225688368749, 0.12647360290348944, -0.11335181629135745, -0.010075805648402483, -0.31681907310346025, -0.12659110500258797, -0.16941546631494053, 0.04278468566100159, -0.07073342522414384, -0.13067570596611428, 0.42274801591756167, 0.13585554583021153, 0.13320951083858992, -0.02082321281188432, 0.29134731540797937, 0.06781746303219992, 0.022929964446244233, 0.07955288626023649, 0.37898987180403904, 0.17939462038446907, 0.09198250301343239, -0.21326886512982993, -0.04831644526918499, 0.01432978203750135] |
709.0658 | Chemical evolution of bulges at high redshift | We present a new class of hydrodynamical models for the formation of bulges
(either massive elliptical galaxies or classical bulges in spirals) in which we
implement detailed prescriptions for the chemical evolution of H, He, O and Fe.
Our results hint toward an outside-in formation in the context of the
supernovae-driven wind scenario. The build-up of the chemical properties of the
stellar populations inhabiting the galactic core is very fast. Therefore we
predict a non significant evolution of both the mass-metallicity and the
mass-[alpha/Fe] relations after the first 0.5 - 1 Gyr. In this framework we
explain how the observed slopes, either positive or negative, in the radial
gradient of the mean stellar [alpha/Fe], and their apparent lack of any
correlation with all the other observables, can arise as a consequence of the
interplay between star formation and metal-enhanced internal gas flows.
| astro-ph | we present a new class of hydrodynamical models for the formation of bulges either massive elliptical galaxies or classical bulges in spirals in which we implement detailed prescriptions for the chemical evolution of h he o and fe our results hint toward an outsidein formation in the context of the supernovaedriven wind scenario the buildup of the chemical properties of the stellar populations inhabiting the galactic core is very fast therefore we predict a non significant evolution of both the massmetallicity and the massalphafe relations after the first 05 1 gyr in this framework we explain how the observed slopes either positive or negative in the radial gradient of the mean stellar alphafe and their apparent lack of any correlation with all the other observables can arise as a consequence of the interplay between star formation and metalenhanced internal gas flows | [['we', 'present', 'a', 'new', 'class', 'of', 'hydrodynamical', 'models', 'for', 'the', 'formation', 'of', 'bulges', 'either', 'massive', 'elliptical', 'galaxies', 'or', 'classical', 'bulges', 'in', 'spirals', 'in', 'which', 'we', 'implement', 'detailed', 'prescriptions', 'for', 'the', 'chemical', 'evolution', 'of', 'h', 'he', 'o', 'and', 'fe', 'our', 'results', 'hint', 'toward', 'an', 'outsidein', 'formation', 'in', 'the', 'context', 'of', 'the', 'supernovaedriven', 'wind', 'scenario', 'the', 'buildup', 'of', 'the', 'chemical', 'properties', 'of', 'the', 'stellar', 'populations', 'inhabiting', 'the', 'galactic', 'core', 'is', 'very', 'fast', 'therefore', 'we', 'predict', 'a', 'non', 'significant', 'evolution', 'of', 'both', 'the', 'massmetallicity', 'and', 'the', 'massalphafe', 'relations', 'after', 'the', 'first', '05', '1', 'gyr', 'in', 'this', 'framework', 'we', 'explain', 'how', 'the', 'observed', 'slopes', 'either', 'positive', 'or', 'negative', 'in', 'the', 'radial', 'gradient', 'of', 'the', 'mean', 'stellar', 'alphafe', 'and', 'their', 'apparent', 'lack', 'of', 'any', 'correlation', 'with', 'all', 'the', 'other', 'observables', 'can', 'arise', 'as', 'a', 'consequence', 'of', 'the', 'interplay', 'between', 'star', 'formation', 'and', 'metalenhanced', 'internal', 'gas', 'flows']] | [-0.08005287776682989, 0.10377787122866618, -0.0965312836784209, 0.13386864054631045, -0.0459382340199717, -0.040964676460238, 0.02629909481925903, 0.3955042135261052, -0.20784285921497758, -0.34526441670320135, 0.030211943048151568, -0.24184061926360248, -0.08829282071269678, 0.15427380035704014, -0.016329718043644588, -0.05229599601820323, 0.026567859555337022, -0.08407212308680652, -0.07909949029406123, -0.247424688731842, 0.34959774504329827, 0.037833855918803456, 0.15933010212545357, -0.01812718813357122, 0.031005471059722258, -0.10002422376605187, -0.06953948806535373, -0.009517135224073913, -0.15937082046178064, 0.059095230131865815, 0.18215796552344696, 0.13221098478315463, 0.25920068646999117, -0.4253000907058306, -0.20717080443142252, 0.10390701124788071, 0.20811649891118525, 0.10014173108671548, -0.14490306688842516, -0.19509056105826658, 0.04544397282367903, -0.18364069894193968, -0.17871196306779558, 0.05491272289906992, 0.04095588294633975, 0.03753885577584729, -0.221487582813955, 0.1781925956556798, 0.10371777938401446, 0.1013650917745334, -0.1222246473569238, -0.08886867989406175, -0.10493625084380784, 0.11003186314611148, 0.014221971241942218, 0.028688834934719964, 0.17188339346544224, -0.1614853830410313, -0.05656260049180293, 0.4052709030872541, -0.08101779783593742, -0.06789539133839256, 0.26697550803185144, -0.21987706532450854, -0.16054012267751264, 0.06034999758877019, 0.1677882914424788, 0.10936518371309953, -0.11178172629901227, 0.011641415379320582, 0.002198319598134105, 0.14491200922156108, 0.01000109441406655, 0.01983329590991245, 0.31934434068488315, 0.12009275152103592, 0.020004664732684904, 0.05756737489512534, -0.14081096095660478, -0.08922277059875006, -0.25701901943138833, -0.15374360018548497, -0.06316037591115789, 0.06864160391442636, -0.1548028255194419, -0.14970240479084193, 0.3430500231247316, 0.07705079556520407, 0.25545086254570504, 0.05462161913193789, 0.27981223248222725, 0.07750291577276133, 0.09644035109754731, 0.11082265996176036, 0.27215253788621185, 0.19181044549014128, 0.11101318908366539, -0.3035986613753047, 0.1126260494331149, 0.008761222544250059] |
709.0659 | Statistical Properties of the IntraCluster Light from SDSS Image
Stacking | The presence of a diffuse stellar component in galaxy clusters has been
established by a number of observational works in recent years. In this
contribution I summarize our results (Zibetti et al. 2005) obtained by stacking
SDSS images of 683 clusters, selected with the maxBCG algorithm at 0.2< z <0.3.
Thanks to our large sample and the advantages of image stacking applied to SDSS
images, we are able to measure the systematic properties of the intracluster
light (ICL) with very high accuracy. We find that the average surface
brightness of the ICL ranges between 26 and 32 mag/arcsec^2, and constantly
declines from 70 kpc cluster-centric distance (i.e. distance from the BCG) to
700 kpc. The fraction of diffuse light over the total light (including
galaxies), monotonically declines from ~50 to <~5% over the same range of
distances, thus showing that the ICL is more easily produced close to the
bottom of a cluster's potential well. Clusters lacking a bright BCG hardly
build up a large amount of intracluster stellar component. The link between the
growth of the BCG and the ICL is also suggested by the strong degree of
alignment between these two components which is observed in clusters where the
BCG displays a significant elongation. With the additional fact that the colors
of the ICL are consistent with those of galaxies, all this appears to be
evidence for IC stars being stripped from galaxies that suffer very strong
tidal interactions in the center of clusters and eventually merge into the BCG.
Our measurements also show that IC stars are a minor component of a cluster's
baryonic budget, representing only ~10% of the total optical emission within
500 kpc. Finally, we discuss some open issues that emerge from a comparison of
the present results with other observations and recent theoretical modeling.
| astro-ph | the presence of a diffuse stellar component in galaxy clusters has been established by a number of observational works in recent years in this contribution i summarize our results zibetti et al 2005 obtained by stacking sdss images of 683 clusters selected with the maxbcg algorithm at 02 z 03 thanks to our large sample and the advantages of image stacking applied to sdss images we are able to measure the systematic properties of the intracluster light icl with very high accuracy we find that the average surface brightness of the icl ranges between 26 and 32 magarcsec2 and constantly declines from 70 kpc clustercentric distance ie distance from the bcg to 700 kpc the fraction of diffuse light over the total light including galaxies monotonically declines from 50 to 5 over the same range of distances thus showing that the icl is more easily produced close to the bottom of a clusters potential well clusters lacking a bright bcg hardly build up a large amount of intracluster stellar component the link between the growth of the bcg and the icl is also suggested by the strong degree of alignment between these two components which is observed in clusters where the bcg displays a significant elongation with the additional fact that the colors of the icl are consistent with those of galaxies all this appears to be evidence for ic stars being stripped from galaxies that suffer very strong tidal interactions in the center of clusters and eventually merge into the bcg our measurements also show that ic stars are a minor component of a clusters baryonic budget representing only 10 of the total optical emission within 500 kpc finally we discuss some open issues that emerge from a comparison of the present results with other observations and recent theoretical modeling | [['the', 'presence', 'of', 'a', 'diffuse', 'stellar', 'component', 'in', 'galaxy', 'clusters', 'has', 'been', 'established', 'by', 'a', 'number', 'of', 'observational', 'works', 'in', 'recent', 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709.066 | Oscillations of General Relativistic Multi-fluid/Multi-layer Compact
Stars | We develop the formalism for determining the quasinormal modes of general
relativistic multi-fluid compact stars in such a way that the impact of
superfluid gap data can be assessed. Our results represent the first attempt to
study true multi-layer dynamics, an important step towards considering
realistic superfluid/superconducting compact stars. We combine a relativistic
model for entrainment with model equations of state that explicity incorporate
the symmetry energy. Our analysis emphasises the many different parameters that
are required for this kind of modelling, and the fact that standard tabulated
equations of state are grossly incomplete in this respect. To make progress,
future equations of state need to provide the energy density as a function of
the various nucleon number densities, the temperature (i.e. entropy), and the
entrainment among the various components.
| gr-qc astro-ph | we develop the formalism for determining the quasinormal modes of general relativistic multifluid compact stars in such a way that the impact of superfluid gap data can be assessed our results represent the first attempt to study true multilayer dynamics an important step towards considering realistic superfluidsuperconducting compact stars we combine a relativistic model for entrainment with model equations of state that explicity incorporate the symmetry energy our analysis emphasises the many different parameters that are required for this kind of modelling and the fact that standard tabulated equations of state are grossly incomplete in this respect to make progress future equations of state need to provide the energy density as a function of the various nucleon number densities the temperature ie entropy and the entrainment among the various components | [['we', 'develop', 'the', 'formalism', 'for', 'determining', 'the', 'quasinormal', 'modes', 'of', 'general', 'relativistic', 'multifluid', 'compact', 'stars', 'in', 'such', 'a', 'way', 'that', 'the', 'impact', 'of', 'superfluid', 'gap', 'data', 'can', 'be', 'assessed', 'our', 'results', 'represent', 'the', 'first', 'attempt', 'to', 'study', 'true', 'multilayer', 'dynamics', 'an', 'important', 'step', 'towards', 'considering', 'realistic', 'superfluidsuperconducting', 'compact', 'stars', 'we', 'combine', 'a', 'relativistic', 'model', 'for', 'entrainment', 'with', 'model', 'equations', 'of', 'state', 'that', 'explicity', 'incorporate', 'the', 'symmetry', 'energy', 'our', 'analysis', 'emphasises', 'the', 'many', 'different', 'parameters', 'that', 'are', 'required', 'for', 'this', 'kind', 'of', 'modelling', 'and', 'the', 'fact', 'that', 'standard', 'tabulated', 'equations', 'of', 'state', 'are', 'grossly', 'incomplete', 'in', 'this', 'respect', 'to', 'make', 'progress', 'future', 'equations', 'of', 'state', 'need', 'to', 'provide', 'the', 'energy', 'density', 'as', 'a', 'function', 'of', 'the', 'various', 'nucleon', 'number', 'densities', 'the', 'temperature', 'ie', 'entropy', 'and', 'the', 'entrainment', 'among', 'the', 'various', 'components']] | [-0.09946465692124688, 0.1339015870015898, -0.10118574598230995, 0.08936557853415322, -0.08122684213404473, -0.05842185322052011, 0.006410721094849018, 0.3371844430024234, -0.23190835858695208, -0.31449381024442397, 0.05164894579927652, -0.24573183056826775, -0.0955801766186666, 0.17242709620712468, 0.00922879772757509, 0.06147140130543938, 0.07969987896165269, 0.013812400370415371, -0.07127256580234434, -0.18460833220384443, 0.3700452121404501, 0.04217189935824046, 0.2570783210918307, 0.02941109145848224, 0.06458432927208307, -0.041926743081645464, -0.03165953506070834, 0.01986116747228572, -0.14185866520901283, 0.11116145428341742, 0.276580327989247, 0.11130905511717383, 0.24749443061076679, -0.4697496479806992, -0.26758315697885476, 0.07543449395766053, 0.11621126072982756, 0.1519940050211377, -0.0616845255287794, -0.24726952103038247, 0.05334878831860036, -0.2187358398706867, -0.18775792994464818, -0.12252613897435367, 0.011190666627282133, 0.022590855775902478, -0.24476614956600734, 0.08748706354079051, 0.07223266413829361, -0.0070654936564656405, -0.10337311672852732, -0.13635650507013242, -0.03306143248202996, 0.14354499898349438, 0.049360825343487354, 0.015147146279923617, 0.09826362137593185, -0.15214343435811595, -0.06284987243752067, 0.39496556743979455, -0.06515899162309674, -0.21997686207043723, 0.17105758524983405, -0.12416644068434834, -0.1587590857865647, 0.09760921103163407, 0.19309909496313105, 0.12411365835354306, -0.16245585238704316, 0.022934486114312536, -0.025396404591783023, 0.15944184511183546, 0.004270314526421806, 0.036826548709695296, 0.22750307951982204, 0.1696834092744841, 0.002907501559541113, 0.11111167919768307, -0.0868616271396884, -0.10780326983748147, -0.334025012408025, -0.1667720446468593, -0.14204735912454242, 0.034957446986272074, -0.08705957541578055, -0.14375509341032458, 0.39424934117123484, 0.19662654974068014, 0.1817143008256188, 0.028749133487088747, 0.30577631938772704, 0.14017457563806182, 0.026838064652222854, 0.08510653724392446, 0.26410074174547427, 0.15636774020878455, 0.06677768658846617, -0.24569807273264116, 0.0576209357008338, 0.023206067115713196] |
709.0661 | Unresolved Classical Electromagnetic Aspects of the Aharonov-Bohm Phase
Shift | The long-standing controversy regarding the Aharonov-Bohm phase shift is
reviewed. The shifts of both optical and particle interference patterns are
summarized. It is pointed out that a line of electric dipoles and a line of
magnetic dipoles (a long solenoid) both produce experimentally observed phase
shifts similar to that produced by introducing a rectangular block of glass
behind one slit of a double-slit interference pattern; the double-slit pattern
is shifted while the single-slit envelope remains undisplaced. The quantum
explanation for the magnetic interference pattern shift introduced by Aharonov
and Bohm in 1959 involves completely different ideas from those suggested by a
semiclassical analysis. Experiments planned by Caprez, Barwick, and Batelaan
should clarify the connections between classical and quantum theories in
connection with the Ahronov-Bohm phase shift.
| physics.atom-ph | the longstanding controversy regarding the aharonovbohm phase shift is reviewed the shifts of both optical and particle interference patterns are summarized it is pointed out that a line of electric dipoles and a line of magnetic dipoles a long solenoid both produce experimentally observed phase shifts similar to that produced by introducing a rectangular block of glass behind one slit of a doubleslit interference pattern the doubleslit pattern is shifted while the singleslit envelope remains undisplaced the quantum explanation for the magnetic interference pattern shift introduced by aharonov and bohm in 1959 involves completely different ideas from those suggested by a semiclassical analysis experiments planned by caprez barwick and batelaan should clarify the connections between classical and quantum theories in connection with the ahronovbohm phase shift | [['the', 'longstanding', 'controversy', 'regarding', 'the', 'aharonovbohm', 'phase', 'shift', 'is', 'reviewed', 'the', 'shifts', 'of', 'both', 'optical', 'and', 'particle', 'interference', 'patterns', 'are', 'summarized', 'it', 'is', 'pointed', 'out', 'that', 'a', 'line', 'of', 'electric', 'dipoles', 'and', 'a', 'line', 'of', 'magnetic', 'dipoles', 'a', 'long', 'solenoid', 'both', 'produce', 'experimentally', 'observed', 'phase', 'shifts', 'similar', 'to', 'that', 'produced', 'by', 'introducing', 'a', 'rectangular', 'block', 'of', 'glass', 'behind', 'one', 'slit', 'of', 'a', 'doubleslit', 'interference', 'pattern', 'the', 'doubleslit', 'pattern', 'is', 'shifted', 'while', 'the', 'singleslit', 'envelope', 'remains', 'undisplaced', 'the', 'quantum', 'explanation', 'for', 'the', 'magnetic', 'interference', 'pattern', 'shift', 'introduced', 'by', 'aharonov', 'and', 'bohm', 'in', '1959', 'involves', 'completely', 'different', 'ideas', 'from', 'those', 'suggested', 'by', 'a', 'semiclassical', 'analysis', 'experiments', 'planned', 'by', 'caprez', 'barwick', 'and', 'batelaan', 'should', 'clarify', 'the', 'connections', 'between', 'classical', 'and', 'quantum', 'theories', 'in', 'connection', 'with', 'the', 'ahronovbohm', 'phase', 'shift']] | [-0.1691723691150546, 0.22401656572520734, -0.10291739352047444, 0.10078714530169963, -0.07061960113979876, -0.16817170488461852, 0.07120391937717796, 0.3806524169296026, -0.2455419896710664, -0.27980337670445443, 0.019165018792264163, -0.2707269244939089, -0.18784500674158336, 0.15126052908971907, -0.03752999750897288, 0.01910848904773593, 0.02850795235298574, -0.015132055081427098, -0.06265282909199596, -0.14852193816006184, 0.29327393398433926, 0.09364435019157827, 0.31044433438777924, 0.05332978012406966, 0.05522341372910887, 0.03421293531529954, -0.053890671141445634, 0.04539254461601377, -0.07535115241876338, 0.03484529988467693, 0.2178350116517395, 0.05572843273729086, 0.1865783527493477, -0.4266527891308069, -0.21755000908300282, 0.054626221420243384, 0.12613541494309902, 0.11959658461622893, -0.07009233999066054, -0.3477830056250095, 0.003373389456421137, -0.10177875584736466, -0.1222382439491339, -0.0007832056058687158, 0.027048472832888366, 0.011780160252470523, -0.18109090289473534, 0.03733023964148015, 0.09144855837756768, 0.08584150686860084, 0.00638913925178349, -0.08500456768274307, 0.053412857431918384, 0.07083083772519604, 0.016035316171124577, 0.06716564678680152, 0.10978767552599311, -0.09808679104968905, -0.176408861476928, 0.39798914571106436, -0.021588682767003774, -0.11280552433803677, 0.11081346727814526, -0.17328882852196695, -0.03363427045196295, 0.1422489870749414, 0.014766234129667282, 0.039304933242499826, -0.10996954753249884, 0.036741922864224764, -0.040857994113117455, 0.12657127886638045, 0.15799723018147052, 0.022887514118105173, 0.29198738664848495, 0.10476866997405887, 0.015677854908630252, 0.14041374318301678, -0.10561205736547709, -0.16331189566850662, -0.285223832949996, -0.12287769667804241, -0.1549915362391621, 0.028440385324880482, -0.005231682516052388, -0.13570082081854343, 0.3494362120628357, 0.10130661368882284, 0.2012926202043891, -0.05199663035012782, 0.30063597197644415, 0.09177077374607324, 0.05876241888292134, -0.022414118584245444, 0.2710855647642165, 0.2299090886414051, 0.16696978868730367, -0.27904256189707666, 0.03373939122655429, 0.0561169947758317] |
709.0662 | Structure of BSCCO supermodulation from ab initio calculations | We present results of density functional theory (DFT) calculation of the
structural supermodulation in BSCCO-2212 structure, and show that the
supermodulation is indeed a spontaneous symmetry breaking of the nominal
crystal symmetry, rather than a phenomenon driven by interstitial O dopants.
The structure obtained is in excellent quantitative agreement with recent x-ray
studies, and reproduces several qualitative aspects of scanning tunnelling
microscopy (STM) experiments as well. The primary structural modulation
affecting the CuO_2 plane is found to be a buckling wave of tilted CuO_5
half-octahedra, with maximum tilt angle near the phase of the supermodulation
where recent STM experiments have discovered an enhancement of the
superconducting gap. We argue that the tilting of the half-octahedra and
concommitant planar buckling are directly modulating the superconducting pair
interaction.
| cond-mat.supr-con cond-mat.mtrl-sci | we present results of density functional theory dft calculation of the structural supermodulation in bscco2212 structure and show that the supermodulation is indeed a spontaneous symmetry breaking of the nominal crystal symmetry rather than a phenomenon driven by interstitial o dopants the structure obtained is in excellent quantitative agreement with recent xray studies and reproduces several qualitative aspects of scanning tunnelling microscopy stm experiments as well the primary structural modulation affecting the cuo_2 plane is found to be a buckling wave of tilted cuo_5 halfoctahedra with maximum tilt angle near the phase of the supermodulation where recent stm experiments have discovered an enhancement of the superconducting gap we argue that the tilting of the halfoctahedra and concommitant planar buckling are directly modulating the superconducting pair interaction | [['we', 'present', 'results', 'of', 'density', 'functional', 'theory', 'dft', 'calculation', 'of', 'the', 'structural', 'supermodulation', 'in', 'bscco2212', 'structure', 'and', 'show', 'that', 'the', 'supermodulation', 'is', 'indeed', 'a', 'spontaneous', 'symmetry', 'breaking', 'of', 'the', 'nominal', 'crystal', 'symmetry', 'rather', 'than', 'a', 'phenomenon', 'driven', 'by', 'interstitial', 'o', 'dopants', 'the', 'structure', 'obtained', 'is', 'in', 'excellent', 'quantitative', 'agreement', 'with', 'recent', 'xray', 'studies', 'and', 'reproduces', 'several', 'qualitative', 'aspects', 'of', 'scanning', 'tunnelling', 'microscopy', 'stm', 'experiments', 'as', 'well', 'the', 'primary', 'structural', 'modulation', 'affecting', 'the', 'cuo_2', 'plane', 'is', 'found', 'to', 'be', 'a', 'buckling', 'wave', 'of', 'tilted', 'cuo_5', 'halfoctahedra', 'with', 'maximum', 'tilt', 'angle', 'near', 'the', 'phase', 'of', 'the', 'supermodulation', 'where', 'recent', 'stm', 'experiments', 'have', 'discovered', 'an', 'enhancement', 'of', 'the', 'superconducting', 'gap', 'we', 'argue', 'that', 'the', 'tilting', 'of', 'the', 'halfoctahedra', 'and', 'concommitant', 'planar', 'buckling', 'are', 'directly', 'modulating', 'the', 'superconducting', 'pair', 'interaction']] | [-0.18819101662867196, 0.1466017194278964, -0.06095549879156477, 0.02806554526389705, -0.04041603651480764, -0.09691554696745867, 0.053631655698191616, 0.4101929935225384, -0.2773872524787619, -0.3036611900642151, 0.0002729959570144008, -0.3296553519501434, -0.2070473324454473, 0.15813823328997062, 0.03268832645977173, 0.03413179566008531, 0.0041612847821741565, -0.02462969927828971, -0.12414016463127502, -0.1757918770531026, 0.274827732233713, 0.08683442186902096, 0.34230232652943066, 0.06619560547226025, 0.0024169336292680687, 0.02919631610374625, 0.07573903981232788, 0.058968710909953446, -0.1839386372212027, 0.099312576567527, 0.21945451608171868, -0.03198028936209839, 0.16065335534588715, -0.4784145091463456, -0.22982247619760957, -0.03345509427523891, 0.1345890377599905, 0.13216555111556944, -0.10881557198036916, -0.2801596752360342, 0.06937878260888704, -0.1024556017832876, -0.13991391852240614, -0.05904538026723132, -0.02528875547923087, 0.02098981682040797, -0.21585313705973538, 0.13118563685660833, 0.02779073891801593, 0.12119344234224258, -0.10444839414951157, -0.06539529129461484, -0.09647768344616563, 0.03448298402751485, 0.06470965540861877, 0.0855067722154857, 0.1642487406583003, -0.11656877385240381, -0.12044009447430934, 0.3538366542084188, -0.01930071174498833, -0.059625893555239895, 0.13424303363421855, -0.20726915888158923, -0.09515299187306829, 0.14812294030713477, 0.02820872670802386, 0.07721459566486802, -0.0960400237794587, 0.07351412064049438, -0.05776522633497986, 0.217369522766884, 0.10445761305802478, 0.03481021710444096, 0.21705433714195965, 0.20620589611419604, 0.024379616901392072, 0.12420188980195974, -0.1416883538581234, -0.08242439226875824, -0.27051158576476864, -0.13487678817738363, -0.1833194109423813, 0.010508104481491094, -0.07255556645324715, -0.16829765311180145, 0.3791790411190501, 0.10961454739884996, 0.22742763390325435, -0.06647785313851465, 0.24624319736679212, 0.09565576413036816, 0.08949654612868146, -0.04715272231118345, 0.28558944104375633, 0.16693067440679826, 0.07102033766213714, -0.30716996971230076, 0.0979253556371129, 0.007174026783237733] |
709.0663 | K3 surfaces, rational curves, and rational points | We prove that for any of a wide class of elliptic surfaces $X$ defined over a
number field $k$, if there is an algebraic point on $X$ that lies on only
finitely many rational curves, then there is an algebraic point on $X$ that
lies on no rational curves. In particular, our theorem applies to a large class
of elliptic $K3$ surfaces, which relates to a question posed by Bogomolov in
1981. We apply our results to construct an explicit algebraic point on a $K3$
surface that does not lie on any smooth rational curves.
| math.AG math.NT | we prove that for any of a wide class of elliptic surfaces x defined over a number field k if there is an algebraic point on x that lies on only finitely many rational curves then there is an algebraic point on x that lies on no rational curves in particular our theorem applies to a large class of elliptic k3 surfaces which relates to a question posed by bogomolov in 1981 we apply our results to construct an explicit algebraic point on a k3 surface that does not lie on any smooth rational curves | [['we', 'prove', 'that', 'for', 'any', 'of', 'a', 'wide', 'class', 'of', 'elliptic', 'surfaces', 'x', 'defined', 'over', 'a', 'number', 'field', 'k', 'if', 'there', 'is', 'an', 'algebraic', 'point', 'on', 'x', 'that', 'lies', 'on', 'only', 'finitely', 'many', 'rational', 'curves', 'then', 'there', 'is', 'an', 'algebraic', 'point', 'on', 'x', 'that', 'lies', 'on', 'no', 'rational', 'curves', 'in', 'particular', 'our', 'theorem', 'applies', 'to', 'a', 'large', 'class', 'of', 'elliptic', 'k3', 'surfaces', 'which', 'relates', 'to', 'a', 'question', 'posed', 'by', 'bogomolov', 'in', '1981', 'we', 'apply', 'our', 'results', 'to', 'construct', 'an', 'explicit', 'algebraic', 'point', 'on', 'a', 'k3', 'surface', 'that', 'does', 'not', 'lie', 'on', 'any', 'smooth', 'rational', 'curves']] | [-0.20008052307132043, 0.038941050687725166, -0.14084709989593217, 0.05847768327466359, -0.11084050404790201, -0.15714974320542655, 0.05855208046146129, 0.34781300594147885, -0.28464106466425093, -0.18897105733324823, 0.0832289974866925, -0.25616192840725965, -0.16559817920389927, 0.34479804874250763, -0.20556175014690348, -0.027117451608769202, 0.010557185375670854, 0.08616195557835071, -0.10543629587873032, -0.33740719381327694, 0.4302691098253586, -0.12009568339164713, 0.1896088014601877, 0.10945924252859857, 0.16275023326865937, 0.05302735257795767, 0.04468699438791526, -0.00867092936838928, -0.15803589315159786, 0.1197952880082946, 0.33630117854397545, 0.053111920581738414, 0.21390733969838996, -0.34497344044870454, -0.22902715629652926, 0.23629777149150247, 0.10260675804395425, 0.019462066941502456, -0.07061215873415533, -0.1617647145899307, 0.13603506242170146, -0.06079841647297144, -0.18684540411065284, -0.07472242608568386, 0.08577708289835995, 0.02393739118154994, -0.21380639411018867, -0.06537597142159939, 0.12646468985629708, 0.1557343487021219, -0.030078553486811488, -0.08209785440274955, -0.07406588333511824, 0.04011626545535891, -0.008394493995920608, 0.11683438103033328, 0.06177189071221571, -0.07535024609808859, -0.09398921111990746, 0.3418266692296847, -0.05476851642720009, -0.2287496089151031, 0.16815801140313086, -0.1241138031706214, -0.1653337908614623, 0.18772052639213047, 0.14411414293572306, 0.1979359601771361, -0.0158561377590032, 0.22180392907834368, -0.2000120787734264, 0.18439940670719615, 0.07607213424420671, -0.10926426876164777, 0.15661460037686323, 0.05497316778637469, 0.11132515460975763, 0.05008707118686288, -0.02623772645173104, -0.061112151941970776, -0.403049130973063, -0.1699524046313998, -0.18062010555969257, 0.178029650530784, -0.08435368097240203, -0.21913405189192608, 0.3825699184678103, 0.07408376568438191, 0.21494782702311088, 0.10212966951811196, 0.17804564021919903, 0.08766790770337378, 0.009091213169066529, 0.11440307233286531, 0.1327022113347132, 0.1328580161875212, -0.04337939639747339, -0.11033442175554994, 0.006041376111342719, 0.15011438184270734] |
709.0664 | Excited mesons on dynamical clover-Wilson lattices | We present results for masses of excited mesons from dynamical clover-Wilson
lattices provided by the CP-PACS collaboration at pion masses down to 500 MeV.
Our analysis of the data is based on using a matrix of correlators from various
source and sink operators. The spectroscopy results are discussed and compared
to experimental values.
| hep-lat | we present results for masses of excited mesons from dynamical cloverwilson lattices provided by the cppacs collaboration at pion masses down to 500 mev our analysis of the data is based on using a matrix of correlators from various source and sink operators the spectroscopy results are discussed and compared to experimental values | [['we', 'present', 'results', 'for', 'masses', 'of', 'excited', 'mesons', 'from', 'dynamical', 'cloverwilson', 'lattices', 'provided', 'by', 'the', 'cppacs', 'collaboration', 'at', 'pion', 'masses', 'down', 'to', '500', 'mev', 'our', 'analysis', 'of', 'the', 'data', 'is', 'based', 'on', 'using', 'a', 'matrix', 'of', 'correlators', 'from', 'various', 'source', 'and', 'sink', 'operators', 'the', 'spectroscopy', 'results', 'are', 'discussed', 'and', 'compared', 'to', 'experimental', 'values']] | [-0.024093195435784337, 0.21313827730855853, -0.07864218868561229, 0.07517886166416882, 0.00040662575695435253, -0.06649063338024788, 0.10171351822110701, 0.3935441064103594, -0.13245348358210526, -0.2977466293663349, 0.10745016045270944, -0.39757059442476844, -0.0082024318289082, 0.22894987560597793, 0.10486879644318009, 0.10866890987189144, 0.11347233917001846, 0.01067994921556059, -0.08991291257992105, -0.1808653527800486, 0.3856046866133528, 0.05317995233355828, 0.2247679965429992, 0.16596441027128472, 0.050557356409043214, -0.021324657246400164, -0.05568851395246555, -0.07085920685796805, -0.12101784616462746, 0.09882169233125476, 0.19728796919895653, 0.0610019383723584, 0.12705560302678146, -0.3703993008876184, -0.14367295924644424, 0.027084882915863452, 0.11766571907836171, 0.13405357480470864, -0.08686195803533818, -0.378622012283161, 0.12765783890241642, -0.15459672737655775, -0.14172896611908414, -0.11639129283029656, -0.035181308604495705, 0.015556194529569935, -0.32180937720497826, 0.08604770405481588, -0.11220564615291122, 0.08689524115607986, -0.1123320185491499, -0.25994971872500655, -0.03408372669067796, 0.09939717037497826, 0.0677409678969954, 0.05520824478271435, 0.13844635920326734, -0.08198889522848404, -0.15157889182907794, 0.40255531594860106, -0.07873571246756979, -0.14170775516837272, 0.1665368427265488, -0.13631275827767994, -0.10986539947290747, 0.10714695751139859, 0.18176899544613542, 0.08589128229134488, -0.18618453339726296, 0.028140341619222936, -0.04180047741897826, 0.20283338019870362, 0.07031862726786507, 0.04182838344559917, 0.198165403643869, 0.17802755851825736, -0.05986597107828788, 0.09974131582937432, -0.0681932922408758, -0.0800585922310656, -0.28274971886344674, -0.03003263007849455, -0.18444951342524224, 0.05634825436161163, -0.08750458692479439, -0.007177052975474101, 0.4091934864321407, 0.16216958155152653, 0.25004992066478393, 0.05893887533753548, 0.2715861530939363, 0.06338408163458742, 0.12390720650536131, 0.08227295828060652, 0.2488147274081437, 0.20083544488100089, 0.12735551248638416, -0.2229602331084744, -0.10652543227451872, 0.04733209128772734] |
709.0665 | Multiplicity fluctuations in relativistic nuclear collisions | Multiplicity distributions of hadrons produced in central nucleus-nucleus
collisions are studied within the hadron-resonance gas model in the large
volume limit. In the canonical ensemble conservation of three charges (baryon
number, electric charge, and strangeness) is enforced. In addition, in the
micro-canonical ensemble energy conservation is included. An analytical method
is used to account for resonance decays. Multiplicity distributions and scaled
variances for negatively charged hadrons are presented along the chemical
freeze-out line of central Pb+Pb (Au+Au) collisions from SIS to LHC energies.
Predictions obtained within different statistical ensembles are compared with
preliminary NA49 experimental results on central Pb+Pb collisions in the SPS
energy range. The measured fluctuations are significantly narrower than a
Poisson reference distribution, and clearly favor expectations for the
micro-canonical ensemble.
| nucl-th | multiplicity distributions of hadrons produced in central nucleusnucleus collisions are studied within the hadronresonance gas model in the large volume limit in the canonical ensemble conservation of three charges baryon number electric charge and strangeness is enforced in addition in the microcanonical ensemble energy conservation is included an analytical method is used to account for resonance decays multiplicity distributions and scaled variances for negatively charged hadrons are presented along the chemical freezeout line of central pbpb auau collisions from sis to lhc energies predictions obtained within different statistical ensembles are compared with preliminary na49 experimental results on central pbpb collisions in the sps energy range the measured fluctuations are significantly narrower than a poisson reference distribution and clearly favor expectations for the microcanonical ensemble | [['multiplicity', 'distributions', 'of', 'hadrons', 'produced', 'in', 'central', 'nucleusnucleus', 'collisions', 'are', 'studied', 'within', 'the', 'hadronresonance', 'gas', 'model', 'in', 'the', 'large', 'volume', 'limit', 'in', 'the', 'canonical', 'ensemble', 'conservation', 'of', 'three', 'charges', 'baryon', 'number', 'electric', 'charge', 'and', 'strangeness', 'is', 'enforced', 'in', 'addition', 'in', 'the', 'microcanonical', 'ensemble', 'energy', 'conservation', 'is', 'included', 'an', 'analytical', 'method', 'is', 'used', 'to', 'account', 'for', 'resonance', 'decays', 'multiplicity', 'distributions', 'and', 'scaled', 'variances', 'for', 'negatively', 'charged', 'hadrons', 'are', 'presented', 'along', 'the', 'chemical', 'freezeout', 'line', 'of', 'central', 'pbpb', 'auau', 'collisions', 'from', 'sis', 'to', 'lhc', 'energies', 'predictions', 'obtained', 'within', 'different', 'statistical', 'ensembles', 'are', 'compared', 'with', 'preliminary', 'na49', 'experimental', 'results', 'on', 'central', 'pbpb', 'collisions', 'in', 'the', 'sps', 'energy', 'range', 'the', 'measured', 'fluctuations', 'are', 'significantly', 'narrower', 'than', 'a', 'poisson', 'reference', 'distribution', 'and', 'clearly', 'favor', 'expectations', 'for', 'the', 'microcanonical', 'ensemble']] | [-0.04817565574710663, 0.21971015708303668, -0.14068378067214884, 0.16920180186054729, 0.09192671647085057, -0.09050450085346858, -0.0766968577039323, 0.34097483072189555, -0.13357349499992485, -0.28985211139004075, -0.09628143363759943, -0.38155477796681225, 0.14623120359911193, 0.12176576713212736, 0.035778914277832356, 0.10612914248579933, 0.13549436539441587, 0.018942421667405493, -0.021420313739180265, -0.17090033498712845, 0.28374140087755456, 0.14404773965643178, 0.3017498997618414, 0.12178029002802025, 0.004963698781906597, 0.03772948742017991, -0.016672891264240586, 0.06571667070872331, -0.11552787401653346, 0.06397324545762403, 0.2655487583965183, 0.036182806192476664, 0.14039201442257412, -0.3810330855419799, -0.1647232550481755, 0.18037605118907749, 0.17765691011182724, 0.11919231975691454, -0.09067192865674564, -0.2527467050709792, 0.10071412416260911, -0.23254022298891458, -0.1689096978685308, -0.06795657189345107, -0.018174217923754645, 0.10627582769901041, -0.28712728695433226, 0.19773781075397687, -0.02397986398230592, 0.1113558743419426, -0.0681285933598936, -0.2677344334341826, -0.09264095582728905, 0.012037803561636997, 0.0701671942698604, 0.04017880207843958, 0.27395188062068737, -0.09889284551853404, -0.10458774682915499, 0.38778352794132287, 0.016874573878252, -0.1820076027464482, 0.17530787947978224, -0.21240048459167743, -0.1635470887995325, 0.1679471739034559, 0.1986459916281033, 0.07158490968868136, -0.2361200204937749, 0.014913398374882226, -0.007057175569747004, 0.13712281156932155, 0.08981306327792306, 0.026811350099441987, 0.2157374157780601, 0.16442753231780033, -0.03342056311216326, 0.0973222544834566, -0.09401392267693975, -0.21598768472153274, -0.3806748752962918, -0.07633431846906821, -0.18455111215101375, 0.022343739963910213, -0.11946471591610104, -0.04352940876607693, 0.3403990653854224, 0.12278992184738238, 0.2888106166520306, 0.015774095964227474, 0.2779286154696057, 0.10570735310114199, 0.020829189292741038, 0.09079029778161296, 0.2570226265459261, 0.19355119318671285, 0.21758065202588878, -0.2527343152567834, 0.013775854604318738, 0.06021422611910009] |
709.0666 | Lepton Flavour Violation in the Constrained MSSM with Constrained
Sequential Dominance | We consider charged Lepton Flavour Violation (LFV) in the Constrained Minimal
Supersymmetric Standard Model, extended to include the see-saw mechanism with
Constrained Sequential Dominance (CSD), where CSD provides a natural see-saw
explanation of tri-bimaximal neutrino mixing. When charged lepton corrections
to tri-bimaximal neutrino mixing are included, we discover characteristic
correlations among the LFV branching ratios, depending on the mass ordering of
the right-handed neutrinos, with a pronounced dependence on the leptonic mixing
angle $\theta_{13}$ (and in some cases also on the Dirac CP phase $\delta$).
| hep-ph | we consider charged lepton flavour violation lfv in the constrained minimal supersymmetric standard model extended to include the seesaw mechanism with constrained sequential dominance csd where csd provides a natural seesaw explanation of tribimaximal neutrino mixing when charged lepton corrections to tribimaximal neutrino mixing are included we discover characteristic correlations among the lfv branching ratios depending on the mass ordering of the righthanded neutrinos with a pronounced dependence on the leptonic mixing angle theta_13 and in some cases also on the dirac cp phase delta | [['we', 'consider', 'charged', 'lepton', 'flavour', 'violation', 'lfv', 'in', 'the', 'constrained', 'minimal', 'supersymmetric', 'standard', 'model', 'extended', 'to', 'include', 'the', 'seesaw', 'mechanism', 'with', 'constrained', 'sequential', 'dominance', 'csd', 'where', 'csd', 'provides', 'a', 'natural', 'seesaw', 'explanation', 'of', 'tribimaximal', 'neutrino', 'mixing', 'when', 'charged', 'lepton', 'corrections', 'to', 'tribimaximal', 'neutrino', 'mixing', 'are', 'included', 'we', 'discover', 'characteristic', 'correlations', 'among', 'the', 'lfv', 'branching', 'ratios', 'depending', 'on', 'the', 'mass', 'ordering', 'of', 'the', 'righthanded', 'neutrinos', 'with', 'a', 'pronounced', 'dependence', 'on', 'the', 'leptonic', 'mixing', 'angle', 'theta_13', 'and', 'in', 'some', 'cases', 'also', 'on', 'the', 'dirac', 'cp', 'phase', 'delta']] | [-0.10330280871199006, 0.35552496064235184, 0.08187538716284667, 0.2758582093698137, -0.109831835915718, -0.26503723977024063, 0.10216267753173323, 0.29203247391235304, -0.2475682582870564, -0.2765647415071726, -0.020676841510131078, -0.27081502996494666, -0.04735238876960733, 0.058305313002646846, 0.06579568294041296, 0.044079090890419836, 0.012156157688621213, -0.07957240080132204, -0.14330231057863463, -0.17561924375648447, 0.2650472874807961, 0.042061623405007756, 0.1840764979010119, 0.0622779850354966, 0.035712622505996154, -0.08763341571149581, -0.03704801082939786, -0.11367327864677731, -0.09366928180131842, -0.012600621296202435, 0.10120895293486469, 0.10055977578329689, -0.03688163369455758, -0.3479846268454019, -0.11779332170262932, 0.23907164795433775, 0.15752122540793875, 0.06725654741201331, -0.12061945017673732, -0.3187203453196322, 0.023987190660965794, -0.2194424951366861, -0.09370849102817695, -0.06992314967381603, -0.058812383261016184, -0.1569103370037149, -0.44471397583975514, 0.13455087223110776, -0.060742528342148834, -0.009337968998314704, 0.07856802324052242, -0.2629220622180797, -0.0518554055953727, -0.0288902888632626, 0.29382458162932273, -0.10724755682818153, 0.1361854244626182, -0.1377837368999334, -0.16398768438409794, 0.4938895816750386, -0.06641536085482906, -0.21229477594880497, 0.08036925757632536, -0.2355004334493595, -0.20558232082711422, 0.10648343836176483, 0.20705002368811298, 0.04532770112376003, -0.18442406178647242, 0.19733280449598917, -0.1754486986381166, 0.11418005958856906, 0.05923586437916931, 0.0270516660721863, 0.2910299134824206, 0.26193298141691174, 0.12687720413566292, -0.06509197535102858, -0.11127021388315103, -0.07842203703270677, -0.4345159309094443, -0.07973025091512896, -0.02029575986020705, 0.11474423342493965, -0.12482920881234082, -0.1293802440385608, 0.4859966578181176, 0.10607349055216593, 0.2250873354866224, 0.049664325683432466, 0.27706635024069864, 0.05468058201539166, 0.06851494527038406, -0.0011225195053745718, 0.32268705347395393, 0.19176811475087616, 0.14971760889405714, -0.3488895960809553, 0.07279477842590389, 0.11446916184333318] |
709.0667 | Computation of weight lattices of G-varieties | Let G be a connected reductive group. To any irreducible G-variety one
assigns the lattice generated by all weights of B-semiinvariant rational
functions on X, where B$ is a Borel subgroup of G. This lattice is called the
weight lattice of X. We establish algorithms for computing weight lattices for
homogeneous spaces and affine homogeneous vector bundles. For affine
homogeneous spaces of rank rk(G) we present a more or less explicit
computation.
| math.AG math.RT | let g be a connected reductive group to any irreducible gvariety one assigns the lattice generated by all weights of bsemiinvariant rational functions on x where b is a borel subgroup of g this lattice is called the weight lattice of x we establish algorithms for computing weight lattices for homogeneous spaces and affine homogeneous vector bundles for affine homogeneous spaces of rank rkg we present a more or less explicit computation | [['let', 'g', 'be', 'a', 'connected', 'reductive', 'group', 'to', 'any', 'irreducible', 'gvariety', 'one', 'assigns', 'the', 'lattice', 'generated', 'by', 'all', 'weights', 'of', 'bsemiinvariant', 'rational', 'functions', 'on', 'x', 'where', 'b', 'is', 'a', 'borel', 'subgroup', 'of', 'g', 'this', 'lattice', 'is', 'called', 'the', 'weight', 'lattice', 'of', 'x', 'we', 'establish', 'algorithms', 'for', 'computing', 'weight', 'lattices', 'for', 'homogeneous', 'spaces', 'and', 'affine', 'homogeneous', 'vector', 'bundles', 'for', 'affine', 'homogeneous', 'spaces', 'of', 'rank', 'rkg', 'we', 'present', 'a', 'more', 'or', 'less', 'explicit', 'computation']] | [-0.2206980071512615, 0.14405404958254198, -0.06821320077378146, -0.012172325847106395, -0.15652195543286876, -0.1863896796466704, 0.05378090699439422, 0.44629227448727044, -0.32701108539083473, -0.09065806899796909, 0.09769639678456833, -0.22558133302151528, -0.11176390336288637, 0.18013087402648803, -0.08688384045897589, -0.04278554869684535, 0.04461146909481203, 0.1435169259899519, -0.12370175699060651, -0.34157885626797946, 0.42777079513007904, -0.08148301432145313, 0.227248574292261, -0.013091318604444534, 0.13853137546610808, 0.05512415748220724, -0.019549359455967034, -0.010925372275458256, -0.14404086516776554, 0.18413111638330237, 0.3236896774770928, 0.040106248759835116, 0.25234766695386085, -0.3281964080303278, -0.17255643911292434, 0.29617782379172636, 0.10897006381722824, -0.05266954231692452, 0.0313180642615279, -0.24465762385704987, 0.14443459539529932, -0.15502230901743325, -0.14548745586759818, -0.09869988353162164, 0.1120716467660419, -0.01063206988636037, -0.3267366004005914, -0.03339800975797042, 0.033962815055544944, 0.13430191324630253, -0.04980510426685214, -0.1549336237596794, -0.06589902515693659, 0.045528963742725234, -0.12382097196647189, 0.14046642150152738, 0.07280854270859084, -0.07340581090399392, -0.1365247082070146, 0.43734914894071475, -0.0428698065257828, -0.2830963073114694, 0.08817787838994827, -0.1460578031641182, -0.1379262243043369, 0.11896407987240334, 0.14604930519323114, 0.13876564466947047, 0.01472397812340461, 0.1864586894418454, -0.14013899366935373, 0.06097044427485638, 0.03910550791245531, -0.04558340706665751, 0.11296749886282732, 0.09450538772564958, 0.12788742320271027, 0.1379755363245429, 0.07759802286434446, 0.02843644020219766, -0.34786103655334927, -0.17234972203281565, -0.17239672894110825, 0.18123261598397938, -0.14150799193044855, -0.22089311724830366, 0.36785071398275837, 0.0022075166597857443, 0.18789466326190551, 0.1398301628011633, 0.1738628629516338, 0.051285852048493605, 0.053073222687448254, 0.13405164339396, 0.015204467354867031, 0.23209817930859264, -0.1349176513342659, -0.11658704695357404, -0.02505563077775919, 0.24448062049907068] |
709.0668 | Entropy and Uncertainty Analysis in Financial Markets | The investor is interested in the expected return and he is also concerned
about the risk and the uncertainty assumed by the investment. One of the most
popular concepts used to measure the risk and the uncertainty is the variance
and/or the standard-deviation. In this paper we explore the following issues:
Is the standard-deviation a good measure of risk and uncertainty? What are the
potentialities of the entropy in this context? Can entropy present some
advantages as a measure of uncertainty and simultaneously verify some basic
assumptions of the portfolio management theory, namely the effect of
diversification?
| q-fin.ST physics.soc-ph | the investor is interested in the expected return and he is also concerned about the risk and the uncertainty assumed by the investment one of the most popular concepts used to measure the risk and the uncertainty is the variance andor the standarddeviation in this paper we explore the following issues is the standarddeviation a good measure of risk and uncertainty what are the potentialities of the entropy in this context can entropy present some advantages as a measure of uncertainty and simultaneously verify some basic assumptions of the portfolio management theory namely the effect of diversification | [['the', 'investor', 'is', 'interested', 'in', 'the', 'expected', 'return', 'and', 'he', 'is', 'also', 'concerned', 'about', 'the', 'risk', 'and', 'the', 'uncertainty', 'assumed', 'by', 'the', 'investment', 'one', 'of', 'the', 'most', 'popular', 'concepts', 'used', 'to', 'measure', 'the', 'risk', 'and', 'the', 'uncertainty', 'is', 'the', 'variance', 'andor', 'the', 'standarddeviation', 'in', 'this', 'paper', 'we', 'explore', 'the', 'following', 'issues', 'is', 'the', 'standarddeviation', 'a', 'good', 'measure', 'of', 'risk', 'and', 'uncertainty', 'what', 'are', 'the', 'potentialities', 'of', 'the', 'entropy', 'in', 'this', 'context', 'can', 'entropy', 'present', 'some', 'advantages', 'as', 'a', 'measure', 'of', 'uncertainty', 'and', 'simultaneously', 'verify', 'some', 'basic', 'assumptions', 'of', 'the', 'portfolio', 'management', 'theory', 'namely', 'the', 'effect', 'of', 'diversification']] | [-0.05923545592435703, 0.05783911622561438, -0.09078366728979595, 0.177484148030755, -0.05436272108831357, -0.08217865830652185, 0.08380915206909832, 0.33786098645596774, -0.29342447242041875, -0.2698873581326346, 0.18388012271091228, -0.3155264932009363, -0.1148955126379415, 0.1581661635817787, -0.18481885492513628, 0.07172599867989607, 0.02020823425546135, 0.08004018655718909, -0.0029665615995289737, -0.24154933152201863, 0.34898326688532516, 0.10376418793823608, 0.30116823988669006, 0.0690557973125719, 0.10279901463960864, -0.01681933513141631, -0.05975994177297065, 0.03338695365993172, -0.1543707858444643, 0.2110663256655956, 0.2609067888373567, 0.19166433266316033, 0.38748257939425323, -0.3613948923026778, -0.20066386558230698, 0.13730287133264787, 0.03693188809952939, 0.04964424196970361, 0.00837727631778293, -0.2468313517231379, 0.011007546136376554, -0.18208628364829058, -0.12292173442901257, -0.022843355120918184, 0.004569206242785626, 0.025876860460746533, -0.24703532924933225, 0.0656533527962705, 0.05025194867120422, 0.042673789608033044, -0.02027914645486348, -0.13390941280372365, 0.005811493570157855, 0.1377007520479179, 0.14513212674748652, -0.02647065334790146, 0.13451228383448474, -0.11916961190626793, -0.1350599687700112, 0.39900869781093806, -0.055943125950114934, -0.18432489331312402, 0.11720490834877356, -0.1446637036614888, -0.13574545723434114, 0.03971622656723581, 0.16408047435046702, 0.05208803528977424, -0.2085818440182922, 0.053762066645485336, -0.0011530532261606345, 0.15710674792758583, 0.024138798951603396, 0.055283425184994094, 0.15963882956529016, 0.17501243367099883, 0.0938636587150203, 0.14036895029160396, -0.08506973747394442, -0.11583540589577451, -0.313001239153835, -0.20303195069925667, -0.131016134818507, 0.022286853849042935, -0.11127902085808244, -0.1035130975729565, 0.3727114362085296, 0.21814599150753358, 0.1493950058350858, 0.06229364960310385, 0.3012289867842013, 0.1370421957366226, -0.010094180133088118, 0.062223626358300144, 0.250137150597869, 0.0883559454928546, 0.07856068598855402, -0.22722707122333885, 0.1812872621086762, -0.009677348341600797] |
709.0669 | G_2 gauge theory at finite temperature | The gauge group being centreless, $G_2$ gauge theory is a good laboratory for
studying the role of the centre of the group for colour confinement in
Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge
theory at finite temperature on the lattice. By studying the finite size
scaling of the plaquette, the Polyakov loop and their susceptibilities, we show
that a deconfinement phase transition takes place. The analysis of the
pseudocritical exponents give strong evidence of the deconfinement transition
being first order. Implications of our findings for scenarios of colour
confinement are discussed.
| hep-lat | the gauge group being centreless g_2 gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in yangmills gauge theories in this paper we investigate g_2 pure gauge theory at finite temperature on the lattice by studying the finite size scaling of the plaquette the polyakov loop and their susceptibilities we show that a deconfinement phase transition takes place the analysis of the pseudocritical exponents give strong evidence of the deconfinement transition being first order implications of our findings for scenarios of colour confinement are discussed | [['the', 'gauge', 'group', 'being', 'centreless', 'g_2', 'gauge', 'theory', 'is', 'a', 'good', 'laboratory', 'for', 'studying', 'the', 'role', 'of', 'the', 'centre', 'of', 'the', 'group', 'for', 'colour', 'confinement', 'in', 'yangmills', 'gauge', 'theories', 'in', 'this', 'paper', 'we', 'investigate', 'g_2', 'pure', 'gauge', 'theory', 'at', 'finite', 'temperature', 'on', 'the', 'lattice', 'by', 'studying', 'the', 'finite', 'size', 'scaling', 'of', 'the', 'plaquette', 'the', 'polyakov', 'loop', 'and', 'their', 'susceptibilities', 'we', 'show', 'that', 'a', 'deconfinement', 'phase', 'transition', 'takes', 'place', 'the', 'analysis', 'of', 'the', 'pseudocritical', 'exponents', 'give', 'strong', 'evidence', 'of', 'the', 'deconfinement', 'transition', 'being', 'first', 'order', 'implications', 'of', 'our', 'findings', 'for', 'scenarios', 'of', 'colour', 'confinement', 'are', 'discussed']] | [-0.15946002501602236, 0.25095761350454077, -0.12368519319417445, 0.08942743590787837, -0.04120311068468972, -0.08977380276314523, 0.05361071361204315, 0.40246204009990355, -0.13160029169368118, -0.22581500463971965, 0.06738522581903165, -0.2608602142549659, -0.12290983091745722, 0.07968028280884028, 0.029080390498826377, -0.00041113888697796744, -0.04472025761282758, 0.09822548598443206, -0.11236651205751849, -0.24702735229297296, 0.32267605195459176, -0.021156211339525485, 0.3130526516194406, 0.1537667845424853, 0.04012622655320324, -0.01471187254953149, -0.0013689169868532764, 0.015737742940454106, -0.153149880604025, 0.039276751041363335, 0.2155774602164073, -0.013023636857733915, 0.16915526884166818, -0.36337263709620427, -0.23566647324416984, 0.09993423873950777, 0.1398407774830335, 0.12266304138067521, -0.07118654714431613, -0.2943013320358372, 0.07841090753086304, -0.15728850109796774, -0.184170803025757, -0.07805098424616613, 0.00458037349346437, -0.06562925224670356, -0.25243164480810887, 0.07403167876611022, 0.016367464698851107, 0.14086914636978978, -0.035996907331833715, -0.11010441636225503, -0.05329477464547381, 0.15655950664689666, 0.0731933763324234, 0.07086834011011217, 0.1364160000591686, -0.19125316396698747, -0.13860510860226657, 0.457834102095742, -0.033590399852561716, -0.07953083219104691, 0.14382676258683205, -0.20210284584348923, -0.2025218591143034, 0.06648760458736337, 0.1309949007632799, 0.11029638154432178, -0.07939708921078005, 0.14834915786724243, -0.03910289588139245, 0.11427535919815694, 0.022990579555105223, 0.02338525147030228, 0.2394713788146251, 0.165489035972247, 0.02888541125790461, 0.14967614640726856, 0.014567078417167067, -0.15000145056922184, -0.4247491882231675, -0.1300304064625188, -0.12753721328795348, 0.033858934571157746, -0.1974445875536491, -0.1526873570131628, 0.3942412983871212, 0.16509762727410385, 0.16071039434326323, 0.0501807162048001, 0.19757229318156055, 0.12340133274096604, 0.06146192257292569, 0.0159245826107891, 0.24893105874132168, 0.2300769816128243, 0.07759405114246827, -0.32715458059683444, -0.08685819048336461, 0.19210486700023083] |
709.067 | Using Data Compressors to Construct Rank Tests | Nonparametric rank tests for homogeneity and component independence are
proposed, which are based on data compressors. For homogeneity testing the idea
is to compress the binary string obtained by ordering the two joint samples and
writing 0 if the element is from the first sample and 1 if it is from the
second sample and breaking ties by randomization (extension to the case of
multiple samples is straightforward). $H_0$ should be rejected if the string is
compressed (to a certain degree) and accepted otherwise. We show that such a
test obtained from an ideal data compressor is valid against all alternatives.
Component independence is reduced to homogeneity testing by constructing two
samples, one of which is the first half of the original and the other is the
second half with one of the components randomly permuted.
| cs.DS cs.IT math.IT | nonparametric rank tests for homogeneity and component independence are proposed which are based on data compressors for homogeneity testing the idea is to compress the binary string obtained by ordering the two joint samples and writing 0 if the element is from the first sample and 1 if it is from the second sample and breaking ties by randomization extension to the case of multiple samples is straightforward h_0 should be rejected if the string is compressed to a certain degree and accepted otherwise we show that such a test obtained from an ideal data compressor is valid against all alternatives component independence is reduced to homogeneity testing by constructing two samples one of which is the first half of the original and the other is the second half with one of the components randomly permuted | [['nonparametric', 'rank', 'tests', 'for', 'homogeneity', 'and', 'component', 'independence', 'are', 'proposed', 'which', 'are', 'based', 'on', 'data', 'compressors', 'for', 'homogeneity', 'testing', 'the', 'idea', 'is', 'to', 'compress', 'the', 'binary', 'string', 'obtained', 'by', 'ordering', 'the', 'two', 'joint', 'samples', 'and', 'writing', '0', 'if', 'the', 'element', 'is', 'from', 'the', 'first', 'sample', 'and', '1', 'if', 'it', 'is', 'from', 'the', 'second', 'sample', 'and', 'breaking', 'ties', 'by', 'randomization', 'extension', 'to', 'the', 'case', 'of', 'multiple', 'samples', 'is', 'straightforward', 'h_0', 'should', 'be', 'rejected', 'if', 'the', 'string', 'is', 'compressed', 'to', 'a', 'certain', 'degree', 'and', 'accepted', 'otherwise', 'we', 'show', 'that', 'such', 'a', 'test', 'obtained', 'from', 'an', 'ideal', 'data', 'compressor', 'is', 'valid', 'against', 'all', 'alternatives', 'component', 'independence', 'is', 'reduced', 'to', 'homogeneity', 'testing', 'by', 'constructing', 'two', 'samples', 'one', 'of', 'which', 'is', 'the', 'first', 'half', 'of', 'the', 'original', 'and', 'the', 'other', 'is', 'the', 'second', 'half', 'with', 'one', 'of', 'the', 'components', 'randomly', 'permuted']] | [-0.06962764695944156, 0.12368339817957723, -0.08342725852750899, 0.05694905881211847, -0.09059267925947685, -0.14514158478499772, 0.03309495089086019, 0.3514811898554292, -0.28398243649451826, -0.28859706481179115, 0.15865967519964805, -0.29308279486619593, -0.04710733846364105, 0.16774249339120134, -0.020559382198638666, 0.030540293815326604, 0.032100589963032264, 0.057536332972471, -0.04008609155254603, -0.31389996241641177, 0.3384604691253865, 0.04446421964231002, 0.3177599191241076, -0.06399461319190725, 0.0952921957068611, 0.009002625986741966, -0.031957248834420596, 0.04190623066867428, -0.048361459995462874, 0.10353464793468661, 0.22277620107086157, 0.18320939189631164, 0.2640395071494448, -0.3711725705475949, -0.17685312203898587, 0.11336711297660847, 0.06565629797713722, 0.1039011415474199, -0.025168238280457444, -0.24010480475279858, 0.17229994446696603, -0.10615240619100565, -0.0933969724642606, -0.02581393831026028, 0.00928732859371367, -0.0059833975049995766, -0.32576011285624085, 0.06340524445712457, 0.08939709728720653, 0.03480717477470856, -0.013222146584131919, -0.11541089746649102, -0.00227858402478673, 0.09792499533539419, 0.06585029285805136, 0.032887265469659775, 0.08473513740703792, -0.07680349374491283, -0.08589128480696887, 0.39870187038939225, -0.038916019707839415, -0.2046509187819217, 0.17859585280358956, -0.12527625078955146, -0.13348463562707527, 0.09625460909720619, 0.08354801695574732, 0.09197095765322207, -0.14058945431743802, 0.059539718472104354, -0.0444305449097609, 0.21232241194229573, 0.07267095928546041, -0.0540949215509874, 0.17844897927716374, 0.14328789741257958, 0.06296524673015323, 0.14721652389091425, -0.10722358095261049, -0.031186711188638583, -0.32621179203038886, -0.15650779436306467, -0.2536941072432776, 0.02289039983331938, -0.11005482593356967, -0.14385451538049998, 0.3674146003528115, 0.14144384723348433, 0.18994099903605222, 0.06874322675353409, 0.31258740769493776, 0.07921988136299393, 0.08166649841886657, 0.0746899353723754, 0.2148800608702004, 0.1199969583968221, -0.0166585168301347, -0.13246763410835924, 0.10865770612144843, 0.0553435516091721] |
709.0671 | Which Partial Sums of the Taylor Series for $e$ are Convergents to $e$?
(and a Link to the Primes 2, 5, 13, 37, 463), II | This is an expanded version of our earlier paper. Let the $n$th partial sum
of the Taylor series $e = \sum_{r=0}^{\infty} 1/r!$ be $A_n/n!$, and let
$p_k/q_k$ be the $k$th convergent of the simple continued fraction for $e$.
Using a recent measure of irrationality for $e$, we prove weak versions of our
conjecture that only two of the partial sums are convergents to $e$. A related
result about the denominators $q_k$ and powers of factorials is proved. We also
show a surprising connection between the $A_n$ and the primes 2, 5, 13, 37,
463. In the Appendix, we give a conditional proof of the conjecture, assuming a
second conjecture we make about the zeros of $A_n$ and $q_k$ modulo powers of
2. Tables supporting this Zeros Conjecture are presented and we discuss a
2-adic reformulation of it.
| math.NT math.HO | this is an expanded version of our earlier paper let the nth partial sum of the taylor series e sum_r0infty 1r be a_nn and let p_kq_k be the kth convergent of the simple continued fraction for e using a recent measure of irrationality for e we prove weak versions of our conjecture that only two of the partial sums are convergents to e a related result about the denominators q_k and powers of factorials is proved we also show a surprising connection between the a_n and the primes 2 5 13 37 463 in the appendix we give a conditional proof of the conjecture assuming a second conjecture we make about the zeros of a_n and q_k modulo powers of 2 tables supporting this zeros conjecture are presented and we discuss a 2adic reformulation of it | [['this', 'is', 'an', 'expanded', 'version', 'of', 'our', 'earlier', 'paper', 'let', 'the', 'nth', 'partial', 'sum', 'of', 'the', 'taylor', 'series', 'e', 'sum_r0infty', '1r', 'be', 'a_nn', 'and', 'let', 'p_kq_k', 'be', 'the', 'kth', 'convergent', 'of', 'the', 'simple', 'continued', 'fraction', 'for', 'e', 'using', 'a', 'recent', 'measure', 'of', 'irrationality', 'for', 'e', 'we', 'prove', 'weak', 'versions', 'of', 'our', 'conjecture', 'that', 'only', 'two', 'of', 'the', 'partial', 'sums', 'are', 'convergents', 'to', 'e', 'a', 'related', 'result', 'about', 'the', 'denominators', 'q_k', 'and', 'powers', 'of', 'factorials', 'is', 'proved', 'we', 'also', 'show', 'a', 'surprising', 'connection', 'between', 'the', 'a_n', 'and', 'the', 'primes', '2', '5', '13', '37', '463', 'in', 'the', 'appendix', 'we', 'give', 'a', 'conditional', 'proof', 'of', 'the', 'conjecture', 'assuming', 'a', 'second', 'conjecture', 'we', 'make', 'about', 'the', 'zeros', 'of', 'a_n', 'and', 'q_k', 'modulo', 'powers', 'of', '2', 'tables', 'supporting', 'this', 'zeros', 'conjecture', 'are', 'presented', 'and', 'we', 'discuss', 'a', '2adic', 'reformulation', 'of', 'it']] | [-0.21600508407059618, 0.06989489656435206, -0.11469154718660694, 0.05649949853335891, -0.04946105052059626, -0.08618078644726399, 0.052404575071919035, 0.2643625284476644, -0.2780582079670721, -0.24667734674548067, 0.072877054074471, -0.30526997772155, -0.13688561560154675, 0.19487834507291316, -0.07778911922565278, -0.007585251303252709, 0.04597962647676468, 0.07027415368322502, -0.050140984528886344, -0.3389202959917705, 0.30033482547493323, -0.02385509236688342, 0.14330690501083154, 0.11015198412282831, 0.08858608876985005, 0.014003999784643598, -0.05671680281118503, -0.052220471511485386, -0.16482162235078088, 0.14619602968313677, 0.2233900665767792, 0.11480441418140852, 0.2753813292228562, -0.35001901005093444, -0.054935761237763524, 0.1788464802392649, 0.16309613396665287, -0.021930793800172124, 0.014988262834616335, -0.2278548005817677, 0.17468729656299248, -0.19157353405813304, -0.18663711619378506, -0.0654340025914066, 0.09958332453328801, 0.06948160076931612, -0.3170818506692098, 0.07565763941773399, 0.12878057775977889, 0.09719047483946162, -0.009432951017515734, -0.19398289596703014, 0.04394490872715216, 0.02231374421321294, 0.05162627233521027, 0.05338447239003418, -0.0028156555798726484, -0.055847682777847, -0.13874484258806608, 0.33776371667216365, -0.04263001947187791, -0.17109166136394968, 0.07438504769165508, -0.2169934061136754, -0.16631469472914057, 0.10430062608793378, 0.0830269855351242, 0.15570672620635698, -0.020284407813211575, 0.11473006836390329, -0.14087819412730718, 0.13378250150023685, 0.17096262922346153, -0.02174130394055015, 0.15791759462102645, 0.03860897002296577, 0.030530013763756657, 0.1481516999997171, -0.009800922582679264, -0.0018708606983315857, -0.37495650188066065, -0.21195795705459794, -0.18181956359972795, 0.1620970593101126, -0.12651088246072023, -0.128913713097812, 0.35195380141821636, 0.07845358926501564, 0.2269806768573985, 0.16375360961982927, 0.20667008294121308, 0.15802895452104757, -0.020282276383916137, 0.05317005854072597, 0.11527232947136166, 0.21811819502823604, 0.031928729402031474, -0.1254104653851434, 0.013071532510580523, 0.159188836477423] |
709.0672 | Harmonic morphisms on heaven spaces | We prove that any (real or complex) analytic horizontally conformal
submersion from a three-dimensional conformal manifold M to a two-dimensional
conformal manifold N can be, locally, `extended' to a unique harmonic morphism
from the heaven space of M to N.
| math.DG | we prove that any real or complex analytic horizontally conformal submersion from a threedimensional conformal manifold m to a twodimensional conformal manifold n can be locally extended to a unique harmonic morphism from the heaven space of m to n | [['we', 'prove', 'that', 'any', 'real', 'or', 'complex', 'analytic', 'horizontally', 'conformal', 'submersion', 'from', 'a', 'threedimensional', 'conformal', 'manifold', 'm', 'to', 'a', 'twodimensional', 'conformal', 'manifold', 'n', 'can', 'be', 'locally', 'extended', 'to', 'a', 'unique', 'harmonic', 'morphism', 'from', 'the', 'heaven', 'space', 'of', 'm', 'to', 'n']] | [-0.17140779020264746, 0.12541536253411323, -0.0897019302006811, 0.028014914691448213, -0.1677809830289334, -0.18469556138152257, -0.06128812644165009, 0.3867258299142122, -0.30905358283780515, -0.17615964612923563, 0.08410591239662608, -0.24393866683822124, -0.1956242189218756, 0.14664317852002567, -0.05727781641762704, 0.04186247671023011, 0.034429566282778976, 0.09775437247008086, -0.1520865493628662, -0.2326189833227545, 0.4350846276851371, -0.053991277469322085, 0.17538011027500033, -0.03362682798178866, 0.15065069225966, -0.04224426263244822, 0.06748993610963225, 0.05846291402049246, -0.12989219579121708, 0.1099289812380448, 0.2831231155723799, 0.06724204515921883, 0.17391399322077633, -0.38590812776237726, -0.23951246227370576, 0.1893849574960768, 0.15163256467785685, 0.024072758038528264, 0.013285044021904469, -0.3437138090375811, 0.11409109965898097, -0.03662303300807253, -0.2079969405895099, -0.10573865950573236, 0.03929184174630791, -0.09506582969333977, -0.28995010247454045, -0.06838514539413154, 0.0935589972883463, 0.07437402789946645, -0.05121916136704385, 0.007532235351391137, -0.14581442051567137, 0.10738480449072085, -0.05888857760000974, 0.19305137175833806, 0.13872471960494295, -0.0007614331319928169, -0.05646469141356647, 0.35778465792536734, -0.15530588906258344, -0.3395735093392432, 0.1468754862435162, -0.2153745531104505, -0.12581338069867343, 0.15928202797658741, 0.15357915512286127, 0.15455587394535542, -0.05548676080652513, 0.25565466191619635, -0.12033097788225859, 0.12407953287474811, 0.098661038139835, -0.11050822389079258, 0.20362518867477775, 0.0649523232714273, 0.15164747929666192, 0.1301270377385663, 0.01183578153140843, -0.021178397815674543, -0.34793610661290586, -0.2666910077648936, -0.20523551110527477, 0.32974592689424753, -0.15371354488888755, -0.18656861521303653, 0.314754282485228, -0.02139398251856619, 0.2403882910963148, 0.11561289229430258, 0.2292362975073047, -0.019260757649317384, 0.05578485634177923, 0.12418199328240007, 0.08790918645681814, 0.1828609005198814, 0.016682889175717718, -0.09606317229336128, -0.20882318451767787, 0.1546611153986305] |
709.0673 | Excited Fermions at H1 | We present a search for excited neutrinos and electrons using all data
collected by the H1 experiment at HERA at a center-of-mass energy of 320 GeV
with an integrated luminosity of up to 435 pb$^{-1}$. No evidence for excited
neutrino or electron production is found. Mass dependent exclusion limits are
determined for the ratio of the coupling to the compositeness scale,
$f/{\Lambda}$. These limits greatly extend the excluded region to higher masses
than has been possible in previous searches.
| hep-ex | we present a search for excited neutrinos and electrons using all data collected by the h1 experiment at hera at a centerofmass energy of 320 gev with an integrated luminosity of up to 435 pb1 no evidence for excited neutrino or electron production is found mass dependent exclusion limits are determined for the ratio of the coupling to the compositeness scale flambda these limits greatly extend the excluded region to higher masses than has been possible in previous searches | [['we', 'present', 'a', 'search', 'for', 'excited', 'neutrinos', 'and', 'electrons', 'using', 'all', 'data', 'collected', 'by', 'the', 'h1', 'experiment', 'at', 'hera', 'at', 'a', 'centerofmass', 'energy', 'of', '320', 'gev', 'with', 'an', 'integrated', 'luminosity', 'of', 'up', 'to', '435', 'pb1', 'no', 'evidence', 'for', 'excited', 'neutrino', 'or', 'electron', 'production', 'is', 'found', 'mass', 'dependent', 'exclusion', 'limits', 'are', 'determined', 'for', 'the', 'ratio', 'of', 'the', 'coupling', 'to', 'the', 'compositeness', 'scale', 'flambda', 'these', 'limits', 'greatly', 'extend', 'the', 'excluded', 'region', 'to', 'higher', 'masses', 'than', 'has', 'been', 'possible', 'in', 'previous', 'searches']] | [-0.06261246892788648, 0.23023654853713646, -0.007186333866954981, 0.14303942571270362, -0.05006878723425767, -0.08205520357093715, 0.05396354753417965, 0.363340757804911, -0.14308914186173602, -0.3946649777832665, 0.05229634975961445, -0.3446961357199316, 0.13383034568669014, 0.20103443776481325, 0.13854217101028485, 0.06638139156223852, 0.07008828947179113, -0.001885777127139176, -0.06126379785850008, -0.2161837199915059, 0.26616856885802803, 0.12167245832484073, 0.21611892330589927, 0.1434111435709026, 0.10907520183002506, -0.04208176664689768, -0.055967518979465426, -0.08369849501413447, -0.16027766189691198, 0.084650123910389, 0.2421223113941076, 0.06629418503033303, 0.14157422393843344, -0.34918839776817756, -0.11684642153308739, 0.15176384630789863, 0.18814887110544723, 0.05581356534333546, -0.05595377850923923, -0.3412653935743095, 0.07779580509125054, -0.19631571757689684, -0.1433683872706245, 0.024151289776627775, 0.05287339748178102, -0.06286710394617123, -0.3076689517408421, 0.11567754651525919, -0.06752788520689253, 0.041950895383223136, -0.05484250225008854, -0.2164625918044697, -0.0674936324682181, -0.029459421615016093, 0.07231192698678639, 0.04458752418190382, 0.17707192184273862, -0.10532398191811163, -0.162692706342315, 0.34223866915401024, -0.07484993829094964, -0.10095419080543355, 0.20740379673086956, -0.19547903603768046, -0.10751169291030191, 0.223657466494773, 0.21954028522359986, 0.045352635522007564, -0.2315555058443282, 0.09656662191485373, -0.025241736075074614, 0.21805225265259512, 0.11126661387307546, 0.045012026239787756, 0.22057831007397816, 0.24116417688989564, 0.04379007866299605, 0.02927527156410904, -0.14754945382216497, -0.006270219802508673, -0.35571882642711267, -0.06175647943598937, -0.12386636171324909, 0.05952838237715673, -0.03782805106053689, -0.00397519544474309, 0.32410544080400394, 0.14017789384837945, 0.2727748786063888, 0.061490249218820014, 0.23938473955362657, 0.14919450302030654, 0.12309442349131915, 0.08484493599780187, 0.38311138692535934, 0.11829449504885022, 0.12923648092848591, -0.19537653675585798, -0.012450722824263422, -0.013997410217748035] |
709.0674 | Simple Algorithmic Principles of Discovery, Subjective Beauty, Selective
Attention, Curiosity & Creativity | I postulate that human or other intelligent agents function or should
function as follows. They store all sensory observations as they come - the
data is holy. At any time, given some agent's current coding capabilities, part
of the data is compressible by a short and hopefully fast program / description
/ explanation / world model. In the agent's subjective eyes, such data is more
regular and more "beautiful" than other data. It is well-known that knowledge
of regularity and repeatability may improve the agent's ability to plan actions
leading to external rewards. In absence of such rewards, however, known beauty
is boring. Then "interestingness" becomes the first derivative of subjective
beauty: as the learning agent improves its compression algorithm, formerly
apparently random data parts become subjectively more regular and beautiful.
Such progress in compressibility is measured and maximized by the curiosity
drive: create action sequences that extend the observation history and yield
previously unknown / unpredictable but quickly learnable algorithmic
regularity. We discuss how all of the above can be naturally implemented on
computers, through an extension of passive unsupervised learning to the case of
active data selection: we reward a general reinforcement learner (with access
to the adaptive compressor) for actions that improve the subjective
compressibility of the growing data. An unusually large breakthrough in
compressibility deserves the name "discovery". The "creativity" of artists,
dancers, musicians, pure mathematicians can be viewed as a by-product of this
principle. Several qualitative examples support this hypothesis.
| cs.AI cs.GR | i postulate that human or other intelligent agents function or should function as follows they store all sensory observations as they come the data is holy at any time given some agents current coding capabilities part of the data is compressible by a short and hopefully fast program description explanation world model in the agents subjective eyes such data is more regular and more beautiful than other data it is wellknown that knowledge of regularity and repeatability may improve the agents ability to plan actions leading to external rewards in absence of such rewards however known beauty is boring then interestingness becomes the first derivative of subjective beauty as the learning agent improves its compression algorithm formerly apparently random data parts become subjectively more regular and beautiful such progress in compressibility is measured and maximized by the curiosity drive create action sequences that extend the observation history and yield previously unknown unpredictable but quickly learnable algorithmic regularity we discuss how all of the above can be naturally implemented on computers through an extension of passive unsupervised learning to the case of active data selection we reward a general reinforcement learner with access to the adaptive compressor for actions that improve the subjective compressibility of the growing data an unusually large breakthrough in compressibility deserves the name discovery the creativity of artists dancers musicians pure mathematicians can be viewed as a byproduct of this principle several qualitative examples support this hypothesis | [['i', 'postulate', 'that', 'human', 'or', 'other', 'intelligent', 'agents', 'function', 'or', 'should', 'function', 'as', 'follows', 'they', 'store', 'all', 'sensory', 'observations', 'as', 'they', 'come', 'the', 'data', 'is', 'holy', 'at', 'any', 'time', 'given', 'some', 'agents', 'current', 'coding', 'capabilities', 'part', 'of', 'the', 'data', 'is', 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709.0675 | Magnetic field induced singlet - triplet phase transition in quasi
one-dimensional organic superconductors | We propose a theoretical model of quasi-one-dimensional superconductors, with
attractive electron-electron interactions dominant in the singlet d-wave
channel and sub-dominant in the p-wave channel. We discuss, in the mean field
approximation, the effect of a magnetic field applied perpendicularly to the
direction of the lowest conductivity. The lowest free energy phase corresponds
to a singlet d-wave symmetry in low fields, but to a triplet symmetry in high
fields. A first order singlet-triplet phase transition is expected at moderate
applied fields of a few teslas. We propose to ascribe the recent critical field
and NMR experimental data, observed in superconducting (TMTSF)2ClO4 to such an
effect.
| cond-mat.str-el cond-mat.supr-con | we propose a theoretical model of quasionedimensional superconductors with attractive electronelectron interactions dominant in the singlet dwave channel and subdominant in the pwave channel we discuss in the mean field approximation the effect of a magnetic field applied perpendicularly to the direction of the lowest conductivity the lowest free energy phase corresponds to a singlet dwave symmetry in low fields but to a triplet symmetry in high fields a first order singlettriplet phase transition is expected at moderate applied fields of a few teslas we propose to ascribe the recent critical field and nmr experimental data observed in superconducting tmtsf2clo4 to such an effect | [['we', 'propose', 'a', 'theoretical', 'model', 'of', 'quasionedimensional', 'superconductors', 'with', 'attractive', 'electronelectron', 'interactions', 'dominant', 'in', 'the', 'singlet', 'dwave', 'channel', 'and', 'subdominant', 'in', 'the', 'pwave', 'channel', 'we', 'discuss', 'in', 'the', 'mean', 'field', 'approximation', 'the', 'effect', 'of', 'a', 'magnetic', 'field', 'applied', 'perpendicularly', 'to', 'the', 'direction', 'of', 'the', 'lowest', 'conductivity', 'the', 'lowest', 'free', 'energy', 'phase', 'corresponds', 'to', 'a', 'singlet', 'dwave', 'symmetry', 'in', 'low', 'fields', 'but', 'to', 'a', 'triplet', 'symmetry', 'in', 'high', 'fields', 'a', 'first', 'order', 'singlettriplet', 'phase', 'transition', 'is', 'expected', 'at', 'moderate', 'applied', 'fields', 'of', 'a', 'few', 'teslas', 'we', 'propose', 'to', 'ascribe', 'the', 'recent', 'critical', 'field', 'and', 'nmr', 'experimental', 'data', 'observed', 'in', 'superconducting', 'tmtsf2clo4', 'to', 'such', 'an', 'effect']] | [-0.22472377147641964, 0.21131928886251655, -0.036295456078033354, 0.07784605456645995, -0.06393433799474643, -0.14341399824927345, 0.06033953107320345, 0.37881046377767164, -0.24094936481784457, -0.2831447144182256, -0.023402389902352858, -0.2762813146646994, -0.06283750314077434, 0.10558818614495416, 0.05912454775086819, 0.022202559934857372, -0.07437180967714924, 0.053044021693774715, -0.10430643477369674, -0.21474842440623504, 0.30552983125492644, 0.009590192742717382, 0.33837341986453306, 0.11255074977368797, 0.03468001583846322, -0.01029091367112974, 0.14294991502090573, -0.02625307889740305, -0.12941208452237055, 0.02759276178235618, 0.26191155498739904, -0.10131909271988732, 0.20605450150413582, -0.45622242501793575, -0.19626551692803892, 0.0906528892116442, 0.16076612196719417, 0.19841721277379504, -0.08122998064992806, -0.2755543706365503, 0.03519009075646933, -0.17612229929699635, -0.11807576286978125, -0.08342329463742387, -0.028834851690379974, -0.06224205017161484, -0.2927258862630249, 0.13131796203267115, 0.02090553095667229, 0.09428886500581239, -0.09495855002135684, -0.13274985609146264, -0.0011557190043206972, 0.007271181850228459, 0.09761430144135375, 0.11629867096109173, 0.10342443358072509, -0.1860285528237, -0.11783527036627325, 0.36203777564402956, -0.1269443270821984, -0.08512314852291289, 0.1406957554292883, -0.18650993857926762, -0.08156011383163367, 0.1684892624616623, 0.1643747330392496, 0.06767131733851364, -0.11129960569982919, 0.0776004767453392, 0.022062339381171532, 0.16531633235549983, -0.05511532961211812, 0.05063806588833149, 0.2199112821209173, 0.18142702405412608, 0.03505495673744008, 0.17720522583336928, -0.17167642961095014, -0.07545949659274462, -0.2844638677421384, -0.15076436096121773, -0.18357477034442127, 0.017156168883397747, -0.03675752702642617, -0.16555933462670788, 0.4279808602385366, 0.21240291126126137, 0.2111327491629009, -0.08617974544848458, 0.27129250955141077, 0.1211876674877623, 0.10293443706513454, 0.040081213732684355, 0.2829679420773083, 0.22305300238524348, 0.09623034961875349, -0.28699929271197805, 0.000171870634613487, -0.04413469603213553] |
709.0676 | The potential for Earth-mass planet formation around brown dwarfs | Recent observations point to the presence of structured dust grains in the
discs surrounding young brown dwarfs, thus implying that the first stages of
planet formation take place also in the sub-stellar regime. Here, we
investigate the potential for planet formation around brown dwarfs and very low
mass stars according to the sequential core accretion model of planet
formation. We find that, for a brown dwarfs of mass 0.05M_{\odot}, our models
predict a maximum planetary mass of ~5M_{\oplus}, orbiting with semi-major axis
~1AU. However, we note that the predictions for the mass - semi-major axis
distribution are strongly dependent upon the models chosen for the disc surface
density profiles and the assumed distribution of disc masses. In particular, if
brown dwarf disc masses are of the order of a few Jupiter masses, Earth-mass
planets might be relatively frequent, while if typical disc masses are only a
fraction of Jupiter mass, we predict that planet formation would be extremely
rare in the sub-stellar regime. As the observational constraints on disc
profiles, mass dependencies and their distributions are poor in the brown dwarf
regime, we advise caution in validating theoretical models only on stars
similar to the Sun and emphasise the need for observational data on planetary
systems around a wide range of stellar masses. We also find that, unlike the
situation around solar-like stars, Type-II migration is totally absent from the
planet formation process around brown dwarfs, suggesting that any future
observations of planets around brown dwarfs would provide a direct measure of
the role of other types of migration.
| astro-ph | recent observations point to the presence of structured dust grains in the discs surrounding young brown dwarfs thus implying that the first stages of planet formation take place also in the substellar regime here we investigate the potential for planet formation around brown dwarfs and very low mass stars according to the sequential core accretion model of planet formation we find that for a brown dwarfs of mass 005m_odot our models predict a maximum planetary mass of 5m_oplus orbiting with semimajor axis 1au however we note that the predictions for the mass semimajor axis distribution are strongly dependent upon the models chosen for the disc surface density profiles and the assumed distribution of disc masses in particular if brown dwarf disc masses are of the order of a few jupiter masses earthmass planets might be relatively frequent while if typical disc masses are only a fraction of jupiter mass we predict that planet formation would be extremely rare in the substellar regime as the observational constraints on disc profiles mass dependencies and their distributions are poor in the brown dwarf regime we advise caution in validating theoretical models only on stars similar to the sun and emphasise the need for observational data on planetary systems around a wide range of stellar masses we also find that unlike the situation around solarlike stars typeii migration is totally absent from the planet formation process around brown dwarfs suggesting that any future observations of planets around brown dwarfs would provide a direct measure of the role of other types of migration | [['recent', 'observations', 'point', 'to', 'the', 'presence', 'of', 'structured', 'dust', 'grains', 'in', 'the', 'discs', 'surrounding', 'young', 'brown', 'dwarfs', 'thus', 'implying', 'that', 'the', 'first', 'stages', 'of', 'planet', 'formation', 'take', 'place', 'also', 'in', 'the', 'substellar', 'regime', 'here', 'we', 'investigate', 'the', 'potential', 'for', 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709.0677 | On the Complexity of Protein Local Structure Alignment Under the
Discrete Fr\'echet Distance | We show that given $m$ proteins (or protein backbones, which are modeled as
3D polygonal chains each of length O(n)) the problem of protein local structure
alignment under the discrete Fr\'{e}chet distance is as hard as Independent
Set. So the problem does not admit any approximation of factor
$n^{1-\epsilon}$. This is the strongest negative result regarding the protein
local structure alignment problem. On the other hand, if $m$ is a constant,
then the problem can be solved in polygnomial time.
| cs.CC cs.DS | we show that given m proteins or protein backbones which are modeled as 3d polygonal chains each of length on the problem of protein local structure alignment under the discrete frechet distance is as hard as independent set so the problem does not admit any approximation of factor n1epsilon this is the strongest negative result regarding the protein local structure alignment problem on the other hand if m is a constant then the problem can be solved in polygnomial time | [['we', 'show', 'that', 'given', 'm', 'proteins', 'or', 'protein', 'backbones', 'which', 'are', 'modeled', 'as', '3d', 'polygonal', 'chains', 'each', 'of', 'length', 'on', 'the', 'problem', 'of', 'protein', 'local', 'structure', 'alignment', 'under', 'the', 'discrete', 'frechet', 'distance', 'is', 'as', 'hard', 'as', 'independent', 'set', 'so', 'the', 'problem', 'does', 'not', 'admit', 'any', 'approximation', 'of', 'factor', 'n1epsilon', 'this', 'is', 'the', 'strongest', 'negative', 'result', 'regarding', 'the', 'protein', 'local', 'structure', 'alignment', 'problem', 'on', 'the', 'other', 'hand', 'if', 'm', 'is', 'a', 'constant', 'then', 'the', 'problem', 'can', 'be', 'solved', 'in', 'polygnomial', 'time']] | [-0.14840104485142835, 0.09824203719868313, -0.027660798611520213, 0.06326184101414549, -0.08825207501649857, -0.1558211301748134, 0.01491403431171858, 0.4201716162452969, -0.3499553796917766, -0.27994734370680174, 0.07874358373935794, -0.2153175244390776, -0.17194524404144834, 0.14509065899868273, -0.026465013611448717, 0.02410834465953934, 0.08560515814048203, 0.10616545933239822, -0.0341893471630078, -0.23427997871974035, 0.28342754843267554, 0.02762586118865617, 0.23365204804871656, 0.07700321346129396, 0.1126489625312388, 0.022121706016691802, 0.03171208961807852, 0.08594355248857903, -0.13217733163746512, 0.10085380769959545, 0.22243637032217428, 0.12917417984909327, 0.26563065759012405, -0.426915582623097, -0.21049217052191874, 0.16919817850936816, 0.1646655255787169, 0.09786715093687695, 0.029553069211424716, -0.22096322419098283, 0.14962921920527197, -0.05197355209531475, -0.08633899210681077, 0.014585551817583132, 0.015053560320712343, 0.037364003248512745, -0.2388617081605959, 0.09439184155928183, 0.09829451707545432, 0.008283301728152776, -0.08733728312286018, -0.11405704252398279, -0.008508066195829571, 0.16959345721215294, 0.04416014833222556, 0.0783835330306069, 0.1374149688142293, -0.07437742009605694, -0.10658985668722587, 0.4226053837639622, -0.037145274160783504, -0.2918634820505505, 0.1535831104015012, -0.07119724389071329, -0.16087476415205984, 0.10991286634337864, 0.12216837647594983, 0.17266179515119595, -0.11174714235335446, 0.15598041506460572, -0.12219496434436569, 0.23263307462764693, 0.12067551781788846, -0.01470035480193888, 0.15713518584453606, 0.13577334445465025, 0.15165611124845058, 0.12759588783108805, -0.05255840321018396, -0.07494319121270807, -0.2598868588669391, -0.120224156593786, -0.23684159692235385, 0.07945952811178934, -0.1296478804625288, -0.23064663366096305, 0.320335353005536, 0.022988404271110326, 0.23384824872629928, 0.09441854912769992, 0.26804492375047145, 0.08864173963330715, 0.05608823755461298, 0.07117716824824485, 0.1529816471385074, 0.061546650404240226, 0.0007840978523975686, -0.20737069932437396, 0.15587583982939773, 0.1191733403225677] |
709.0678 | Constraints on Unparticle Physics from Solar and KamLAND Neutrinos | Interest has been directed recently towards low energy implications of a
non-trivial conformal sector of an effective field theory with an IR fixed
point (\Lambda), manifest in terms of ``unparticles'' with bizarre properties.
We re-examine the implications of the limits on decay lifetimes of solar
neutrinos for unparticle interactions. We study in detail the fundamental
parameter space (\Lambda, M) and derive bounds on the energy scale M
characterizing the new physics. We work strictly within the framework where
conformal invariance holds down to low energies. We first assume that couplings
of the unparticle sector to the Higgs field are suppressed and derive bounds
with \Lambda in the TeV region from neutrino decay into scalar unparticles.
These bounds are significant for values of the anomalous dimension of the
unparticle operator 1.0 < d < 1.2. For a region of the parameter space, we show
that the bounds are comparable to those arising from production rates at high
energy colliders. We then relax our assumption, by considering a more natural
framework which does not require a priori restrictions on couplings of
Higgs-unparticle operators, and derive bounds with \Lambda in meV region from
neutrino decay into vector unparticles. Such low scales for the IR fixed point
are relevant in gauge theories with many flavors.
| hep-ph | interest has been directed recently towards low energy implications of a nontrivial conformal sector of an effective field theory with an ir fixed point lambda manifest in terms of unparticles with bizarre properties we reexamine the implications of the limits on decay lifetimes of solar neutrinos for unparticle interactions we study in detail the fundamental parameter space lambda m and derive bounds on the energy scale m characterizing the new physics we work strictly within the framework where conformal invariance holds down to low energies we first assume that couplings of the unparticle sector to the higgs field are suppressed and derive bounds with lambda in the tev region from neutrino decay into scalar unparticles these bounds are significant for values of the anomalous dimension of the unparticle operator 10 d 12 for a region of the parameter space we show that the bounds are comparable to those arising from production rates at high energy colliders we then relax our assumption by considering a more natural framework which does not require a priori restrictions on couplings of higgsunparticle operators and derive bounds with lambda in mev region from neutrino decay into vector unparticles such low scales for the ir fixed point are relevant in gauge theories with many flavors | [['interest', 'has', 'been', 'directed', 'recently', 'towards', 'low', 'energy', 'implications', 'of', 'a', 'nontrivial', 'conformal', 'sector', 'of', 'an', 'effective', 'field', 'theory', 'with', 'an', 'ir', 'fixed', 'point', 'lambda', 'manifest', 'in', 'terms', 'of', 'unparticles', 'with', 'bizarre', 'properties', 'we', 'reexamine', 'the', 'implications', 'of', 'the', 'limits', 'on', 'decay', 'lifetimes', 'of', 'solar', 'neutrinos', 'for', 'unparticle', 'interactions', 'we', 'study', 'in', 'detail', 'the', 'fundamental', 'parameter', 'space', 'lambda', 'm', 'and', 'derive', 'bounds', 'on', 'the', 'energy', 'scale', 'm', 'characterizing', 'the', 'new', 'physics', 'we', 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709.0679 | Curvature and torsion in growing actin networks | Intracellular pathogens such as Listeria monocytogenes and Rickettsia
rickettsii move within a host cell by polymerizing a comet-tail of actin fibers
that ultimately pushes the cell forward. This dense network of cross-linked
actin polymers typically exhibits a striking curvature that causes bacteria to
move in gently looping paths. Theoretically, tail curvature has been linked to
details of motility by considering force and torque balances from a finite
number of polymerizing filaments. Here we track beads coated with a prokaryotic
activator of actin polymerization in three dimensions to directly quantify the
curvature and torsion of bead motility paths. We find that bead paths are more
likely to have low rather than high curvature at any given time. Furthermore,
path curvature changes very slowly in time, with an autocorrelation decay time
of 200 seconds. Paths with a small radius of curvature, therefore, remain so
for an extended period resulting in loops when confined to two dimensions. When
allowed to explore a 3D space, path loops are less evident. Finally, we
quantify the torsion in the bead paths and show that beads do not exhibit a
significant left- or right-handed bias to their motion in 3D. These results
suggest that paths of actin-propelled objects may be attributed to slow changes
in curvature rather than a fixed torque.
| q-bio.BM physics.bio-ph q-bio.CB | intracellular pathogens such as listeria monocytogenes and rickettsia rickettsii move within a host cell by polymerizing a comettail of actin fibers that ultimately pushes the cell forward this dense network of crosslinked actin polymers typically exhibits a striking curvature that causes bacteria to move in gently looping paths theoretically tail curvature has been linked to details of motility by considering force and torque balances from a finite number of polymerizing filaments here we track beads coated with a prokaryotic activator of actin polymerization in three dimensions to directly quantify the curvature and torsion of bead motility paths we find that bead paths are more likely to have low rather than high curvature at any given time furthermore path curvature changes very slowly in time with an autocorrelation decay time of 200 seconds paths with a small radius of curvature therefore remain so for an extended period resulting in loops when confined to two dimensions when allowed to explore a 3d space path loops are less evident finally we quantify the torsion in the bead paths and show that beads do not exhibit a significant left or righthanded bias to their motion in 3d these results suggest that paths of actinpropelled objects may be attributed to slow changes in curvature rather than a fixed torque | [['intracellular', 'pathogens', 'such', 'as', 'listeria', 'monocytogenes', 'and', 'rickettsia', 'rickettsii', 'move', 'within', 'a', 'host', 'cell', 'by', 'polymerizing', 'a', 'comettail', 'of', 'actin', 'fibers', 'that', 'ultimately', 'pushes', 'the', 'cell', 'forward', 'this', 'dense', 'network', 'of', 'crosslinked', 'actin', 'polymers', 'typically', 'exhibits', 'a', 'striking', 'curvature', 'that', 'causes', 'bacteria', 'to', 'move', 'in', 'gently', 'looping', 'paths', 'theoretically', 'tail', 'curvature', 'has', 'been', 'linked', 'to', 'details', 'of', 'motility', 'by', 'considering', 'force', 'and', 'torque', 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709.068 | Designing a Virtual Manikin Animation Framework Aimed at Virtual
Prototyping | In the industry, numerous commercial packages provide tools to introduce, and
analyse human behaviour in the product's environment (for maintenance,
ergonomics...), thanks to Virtual Humans. We will focus on control. Thanks to
algorithms newly introduced in recent research papers, we think we can provide
an implementation, which even widens, and simplifies the animation capacities
of virtual manikins. In order to do so, we are going to express the industrial
expectations as for Virtual Humans, without considering feasibility (not to
bias the issue). The second part will show that no commercial application
provides the tools that perfectly meet the needs. Thus we propose a new
animation framework that better answers the problem. Our contribution is the
integration - driven by need ~ of available new scientific techniques to
animate Virtual Humans, in a new control scheme that better answers industrial
expectations.
| cs.RO | in the industry numerous commercial packages provide tools to introduce and analyse human behaviour in the products environment for maintenance ergonomics thanks to virtual humans we will focus on control thanks to algorithms newly introduced in recent research papers we think we can provide an implementation which even widens and simplifies the animation capacities of virtual manikins in order to do so we are going to express the industrial expectations as for virtual humans without considering feasibility not to bias the issue the second part will show that no commercial application provides the tools that perfectly meet the needs thus we propose a new animation framework that better answers the problem our contribution is the integration driven by need of available new scientific techniques to animate virtual humans in a new control scheme that better answers industrial expectations | [['in', 'the', 'industry', 'numerous', 'commercial', 'packages', 'provide', 'tools', 'to', 'introduce', 'and', 'analyse', 'human', 'behaviour', 'in', 'the', 'products', 'environment', 'for', 'maintenance', 'ergonomics', 'thanks', 'to', 'virtual', 'humans', 'we', 'will', 'focus', 'on', 'control', 'thanks', 'to', 'algorithms', 'newly', 'introduced', 'in', 'recent', 'research', 'papers', 'we', 'think', 'we', 'can', 'provide', 'an', 'implementation', 'which', 'even', 'widens', 'and', 'simplifies', 'the', 'animation', 'capacities', 'of', 'virtual', 'manikins', 'in', 'order', 'to', 'do', 'so', 'we', 'are', 'going', 'to', 'express', 'the', 'industrial', 'expectations', 'as', 'for', 'virtual', 'humans', 'without', 'considering', 'feasibility', 'not', 'to', 'bias', 'the', 'issue', 'the', 'second', 'part', 'will', 'show', 'that', 'no', 'commercial', 'application', 'provides', 'the', 'tools', 'that', 'perfectly', 'meet', 'the', 'needs', 'thus', 'we', 'propose', 'a', 'new', 'animation', 'framework', 'that', 'better', 'answers', 'the', 'problem', 'our', 'contribution', 'is', 'the', 'integration', 'driven', 'by', 'need', 'of', 'available', 'new', 'scientific', 'techniques', 'to', 'animate', 'virtual', 'humans', 'in', 'a', 'new', 'control', 'scheme', 'that', 'better', 'answers', 'industrial', 'expectations']] | [-0.07968952310393038, 0.06186585779990613, -0.07398140442598125, 0.06888010579353684, -0.15763189136793, -0.1319207875597952, 0.05753632591348951, 0.4172069778956095, -0.25434312627286365, -0.3413695150081986, 0.0856883167483223, -0.247923680851101, -0.17522744510484778, 0.2587597216352942, -0.1653569659548879, 0.05480171940154464, 0.08170585303003833, -0.0003145640219082597, 0.0007082629152506158, -0.2756084924170653, 0.2849867048477619, 0.055385982152074575, 0.29115470188696857, 0.09832477064101376, 0.03485257921915879, 0.014445377635243147, -0.07853218882371658, -0.021654997743072286, -0.10266577102099647, 0.18991248338463027, 0.3223793349714707, 0.20395128408352425, 0.344774487124675, -0.46558730319088354, -0.16551593869276668, 0.07236539724998284, 0.14948576168440605, 0.09719912526349578, -0.058404167456910065, -0.27068462048529013, 0.09920900938290077, -0.21863796523994888, -0.14752382037493036, -0.13577458657749483, -0.0382448472150102, -0.012103044200162201, -0.2230662507641102, -0.05687780334003459, 0.01712217765684793, 0.05320229978584077, -0.02727425336142651, -0.08985851645348189, 0.0557840166333388, 0.2329957525083876, 0.026249648313092042, 0.009969202440528981, 0.14349512549697596, -0.15594128027315374, -0.17888146477575967, 0.3965360124366007, -0.023339073238658137, -0.21204551650157225, 0.21325323360287113, -0.09031375940463951, -0.15544561659276107, 0.08950984189109674, 0.2135616243729179, 0.058631188701838255, -0.18354772689981738, 0.07358729865729297, 0.016617606333254473, 0.1701997444404802, 0.01419155416753737, -0.022068707232761695, 0.16399877128466303, 0.17110190421774768, 0.06374419357904328, 0.1416155420761704, 0.004126937177531637, -0.10288337641901782, -0.24364089982354661, -0.19036186804347063, -0.11067286582893111, 0.01166680963565275, -0.0027595598322754404, -0.14738835067744704, 0.32536822421892453, 0.24589870949410766, 0.11290238326604383, 0.04877585454833815, 0.3820119784837859, 0.035685004617097664, 0.09796495398547014, 0.063263570030424, 0.21071280128292172, 0.006209966444842302, 0.20343285885072596, -0.13720512999988504, 0.09791166144102623, 0.026728158889243892] |
709.0681 | Strong-coupling expansion of cusp anomaly from quantum superstring | We consider the world surface in AdS_5 that ends on two intersecting null
lines at the boundary. The corresponding string partition function describes
the expectation value of the Wilson line with a null cusp in dual large N
maximally supersymmetric gauge theory and thus determines the cusp anomaly
function f(\lambda) of the gauge coupling. The first two coefficients in its
strong-coupling or string inverse tension expansion were determined in
hep-th/0210115 (a_1=1) and in arXiv:0707.4254 (a_2=- 3 log 2). Here we find
that the 2-loop coefficient is a_2 = - K where K is the Catalan's constant.
This is in agreement (expected on general grounds) with the previous results
for f(\lambda) as the coefficient of log(S) term in the energy of closed
spinning string in AdS_5. The string theory value for a_2 is in agreement with
the numerical result in hep-th/0611135 and the recent analytic result in
arXiv:0708.3933 for the solution of the BES equation following from the
asymptotic Bethe ansatz for the spectrum of the theory. We explicitly verify
the cancellation of 2-loop 2d logarithmic divergences thus demonstrating the
quantum consistency of the AdS_5 x S^5 superstring. We also discuss the
structure of higher loop string corrections to the cusp anomaly giving a 2d QFT
diagrammatic interpretation to the strong-coupling expansion of the cusp
anomaly function as solution of the BES equation found in arXiv:0708.3933.
| hep-th | we consider the world surface in ads_5 that ends on two intersecting null lines at the boundary the corresponding string partition function describes the expectation value of the wilson line with a null cusp in dual large n maximally supersymmetric gauge theory and thus determines the cusp anomaly function flambda of the gauge coupling the first two coefficients in its strongcoupling or string inverse tension expansion were determined in hepth0210115 a_11 and in arxiv07074254 a_2 3 log 2 here we find that the 2loop coefficient is a_2 k where k is the catalans constant this is in agreement expected on general grounds with the previous results for flambda as the coefficient of logs term in the energy of closed spinning string in ads_5 the string theory value for a_2 is in agreement with the numerical result in hepth0611135 and the recent analytic result in arxiv07083933 for the solution of the bes equation following from the asymptotic bethe ansatz for the spectrum of the theory we explicitly verify the cancellation of 2loop 2d logarithmic divergences thus demonstrating the quantum consistency of the ads_5 x s5 superstring we also discuss the structure of higher loop string corrections to the cusp anomaly giving a 2d qft diagrammatic interpretation to the strongcoupling expansion of the cusp anomaly function as solution of the bes equation found in arxiv07083933 | [['we', 'consider', 'the', 'world', 'surface', 'in', 'ads_5', 'that', 'ends', 'on', 'two', 'intersecting', 'null', 'lines', 'at', 'the', 'boundary', 'the', 'corresponding', 'string', 'partition', 'function', 'describes', 'the', 'expectation', 'value', 'of', 'the', 'wilson', 'line', 'with', 'a', 'null', 'cusp', 'in', 'dual', 'large', 'n', 'maximally', 'supersymmetric', 'gauge', 'theory', 'and', 'thus', 'determines', 'the', 'cusp', 'anomaly', 'function', 'flambda', 'of', 'the', 'gauge', 'coupling', 'the', 'first', 'two', 'coefficients', 'in', 'its', 'strongcoupling', 'or', 'string', 'inverse', 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709.0682 | Pressure sensor-based tongue-placed electrotactile biofeedback for
balance improvement - Biomedical application to prevent pressure sores
formation and falls | We introduce the innovative technologies, based on the concept of "sensory
substitution", we are developing in the fields of biomedical engineering and
human disability. Precisely, our goal is to design, develop and validate
practical assistive biomedical and/or technical devices and/or rehabilitating
procedures for persons with disabilities, using artificial tongue-placed
tactile biofeedback systems. Proposed applications are dealing with: (1)
pressure sores prevention in case of spinal cord injuries (persons with
paraplegia, or tetraplegia); and (2) balance control improvement to prevent
fall in older and/or disabled adults. This paper describes the architecture and
the functioning principle of these biofeedback systems and presents preliminary
results of two feasibility studies performed on young healthy adults.
| physics.med-ph q-bio.NC | we introduce the innovative technologies based on the concept of sensory substitution we are developing in the fields of biomedical engineering and human disability precisely our goal is to design develop and validate practical assistive biomedical andor technical devices andor rehabilitating procedures for persons with disabilities using artificial tongueplaced tactile biofeedback systems proposed applications are dealing with 1 pressure sores prevention in case of spinal cord injuries persons with paraplegia or tetraplegia and 2 balance control improvement to prevent fall in older andor disabled adults this paper describes the architecture and the functioning principle of these biofeedback systems and presents preliminary results of two feasibility studies performed on young healthy adults | [['we', 'introduce', 'the', 'innovative', 'technologies', 'based', 'on', 'the', 'concept', 'of', 'sensory', 'substitution', 'we', 'are', 'developing', 'in', 'the', 'fields', 'of', 'biomedical', 'engineering', 'and', 'human', 'disability', 'precisely', 'our', 'goal', 'is', 'to', 'design', 'develop', 'and', 'validate', 'practical', 'assistive', 'biomedical', 'andor', 'technical', 'devices', 'andor', 'rehabilitating', 'procedures', 'for', 'persons', 'with', 'disabilities', 'using', 'artificial', 'tongueplaced', 'tactile', 'biofeedback', 'systems', 'proposed', 'applications', 'are', 'dealing', 'with', '1', 'pressure', 'sores', 'prevention', 'in', 'case', 'of', 'spinal', 'cord', 'injuries', 'persons', 'with', 'paraplegia', 'or', 'tetraplegia', 'and', '2', 'balance', 'control', 'improvement', 'to', 'prevent', 'fall', 'in', 'older', 'andor', 'disabled', 'adults', 'this', 'paper', 'describes', 'the', 'architecture', 'and', 'the', 'functioning', 'principle', 'of', 'these', 'biofeedback', 'systems', 'and', 'presents', 'preliminary', 'results', 'of', 'two', 'feasibility', 'studies', 'performed', 'on', 'young', 'healthy', 'adults']] | [-0.09808552344245752, 0.10214615227688137, -0.0229642959982828, 0.0063436943282549445, -0.12031934919624447, -0.19191683162641418, 0.04465832424597597, 0.3976290473160711, -0.1565514896987929, -0.3450689466653375, 0.12815758440672914, -0.2806858625221024, -0.22202580569202904, 0.22743768888307517, -0.24431151439024656, 0.05132772476907383, 0.09760941115841437, 0.01685430850835752, 0.054935183854320564, -0.2557075270095018, 0.2917726165394777, 0.011970459462588167, 0.32390328896911563, 0.042513189898166166, 0.08724868707232983, -0.0016193888234058479, -0.05197876899268243, -0.04303035145910742, -0.08623439103557921, 0.20655655164716277, 0.3522317449683911, 0.21642000393245603, 0.4039313531866683, -0.48320162811459183, -0.20677394635539065, 0.05715163604373129, 0.08631340960388886, 0.06785542531744451, -0.1017268779414899, -0.34560596295380713, 0.10793912621699525, -0.16762140845913473, -0.12166850064104519, -0.050801100151672086, -0.030422893856224174, 0.013063492155361182, -0.2598956374887813, 0.07603563383422993, 0.013788530977468032, 0.22160584122982915, -0.12193164263124608, -0.14304518240277428, 0.06709311553277075, 0.2217588019829982, 0.03996924712712801, -0.005624622307919167, 0.24134553613577475, -0.1685030582751072, -0.15225233420360465, 0.33122038050881913, 0.08575332166861978, -0.17038760137186293, 0.27655817345959377, -0.05694950298146085, -0.12935575420825599, 0.02809557444122326, 0.2300687586712475, 0.05799711624848413, -0.2074491991504171, -0.05369071990119394, 0.10850003020217021, 0.15190378442691924, 0.07982996918118417, -0.040809678895449314, 0.15879716333169658, 0.24333827994629606, 0.018087605232591026, 0.12464274277885419, -0.07023862618449572, -0.020365761290933634, -0.2194209697112013, -0.16776032530207624, -0.06618737034407352, 0.013852135974678907, -0.025583884639844828, -0.12162149279705577, 0.3451272201732741, 0.21355094494821708, 0.04206037863686278, 0.05021939613344567, 0.3137976218115639, -0.018476650839344272, 0.0923724616688953, 0.005900150920088227, 0.1625043355339618, 0.0584196512260147, 0.17375410206380998, -0.20847441287719654, 0.10221872176253446, -0.016011675473654997] |
709.0683 | Framework for a low-cost intra-operative image-guided neuronavigator
including brain shift compensation | In this paper we present a methodology to address the problem of brain tissue
deformation referred to as 'brain-shift'. This deformation occurs throughout a
neurosurgery intervention and strongly alters the accuracy of the
neuronavigation systems used to date in clinical routine which rely solely on
pre-operative patient imaging to locate the surgical target, such as a tumour
or a functional area. After a general description of the framework of our
intra-operative image-guided system, we describe a procedure to generate
patient specific finite element meshes of the brain and propose a biomechanical
model which can take into account tissue deformations and surgical procedures
that modify the brain structure, like tumour or tissue resection.
| physics.med-ph | in this paper we present a methodology to address the problem of brain tissue deformation referred to as brainshift this deformation occurs throughout a neurosurgery intervention and strongly alters the accuracy of the neuronavigation systems used to date in clinical routine which rely solely on preoperative patient imaging to locate the surgical target such as a tumour or a functional area after a general description of the framework of our intraoperative imageguided system we describe a procedure to generate patient specific finite element meshes of the brain and propose a biomechanical model which can take into account tissue deformations and surgical procedures that modify the brain structure like tumour or tissue resection | [['in', 'this', 'paper', 'we', 'present', 'a', 'methodology', 'to', 'address', 'the', 'problem', 'of', 'brain', 'tissue', 'deformation', 'referred', 'to', 'as', 'brainshift', 'this', 'deformation', 'occurs', 'throughout', 'a', 'neurosurgery', 'intervention', 'and', 'strongly', 'alters', 'the', 'accuracy', 'of', 'the', 'neuronavigation', 'systems', 'used', 'to', 'date', 'in', 'clinical', 'routine', 'which', 'rely', 'solely', 'on', 'preoperative', 'patient', 'imaging', 'to', 'locate', 'the', 'surgical', 'target', 'such', 'as', 'a', 'tumour', 'or', 'a', 'functional', 'area', 'after', 'a', 'general', 'description', 'of', 'the', 'framework', 'of', 'our', 'intraoperative', 'imageguided', 'system', 'we', 'describe', 'a', 'procedure', 'to', 'generate', 'patient', 'specific', 'finite', 'element', 'meshes', 'of', 'the', 'brain', 'and', 'propose', 'a', 'biomechanical', 'model', 'which', 'can', 'take', 'into', 'account', 'tissue', 'deformations', 'and', 'surgical', 'procedures', 'that', 'modify', 'the', 'brain', 'structure', 'like', 'tumour', 'or', 'tissue', 'resection']] | [0.009949760792592357, 0.04475933633459447, -0.0848905560917112, 0.06426523460352139, -0.0888768003263452, -0.13979943511957252, 0.03330344983968078, 0.3748760436166514, -0.22733596142230406, -0.2724905126971436, 0.11951336029052802, -0.21435998597283018, -0.2370007222587545, 0.17722090042766755, -0.1866152505642055, 0.05846446148447088, 0.10809287004307047, 0.052348938437078045, 0.003045999442923579, -0.19148229563247984, 0.26511249747462906, 0.007175925410633722, 0.3163917384420832, 0.038758207631700146, 0.14188558521453995, 0.05080385136770437, -0.01722232251520361, 0.02918344068651398, -0.12899499518099622, 0.16240258847451391, 0.3512659456312388, 0.19296887006426044, 0.33266796413095884, -0.5084143766277546, -0.27681392943067057, 0.07965962986906504, 0.13578730100463773, 0.1346683641801261, -0.0004211727011663554, -0.2953755237174699, 0.056704441922389576, -0.14456526612913287, -0.09181703504663682, -0.10033752551084166, -0.062469883494683215, -0.04034703720396653, -0.2772552465158934, 0.10278998463423, 0.028500166117540887, 0.11020036538441975, -0.1305926389077695, -0.023596105310512153, 0.007401001906055991, 0.2108317376995409, 0.013756788863280267, 0.08095639488903118, 0.23328486982909208, -0.16464388447442418, -0.05988014757901699, 0.3726924192663786, 0.08771751335452872, -0.21625657490379102, 0.16500125079508032, -0.1065176903712773, -0.12193096201417984, 0.12178143976373715, 0.2530389526892487, 0.125636324905245, -0.19493192648315835, -0.00716947474640685, 0.08022078783628908, 0.19044738611927978, 0.048581613865387334, -0.081947654667667, 0.15488156293275523, 0.2481090928142605, 0.009729512214140446, 0.14003268488355586, -0.14259375624467727, 0.005417559178428607, -0.27977459863885434, -0.1952204884004754, -0.09013141063881014, 0.010690201463509217, -0.05724686873315829, -0.2726391524261048, 0.43235712003399124, 0.15634356412487546, 0.16735725052684108, 0.011398172073133357, 0.29796813519856147, -0.00794684333277883, 0.11118405417912547, -0.05134168849116913, 0.15464889847564403, 0.028827096964337502, 0.09830780881498982, -0.25648897888164063, 0.12040421777396454, 0.06505291448562062] |
709.0684 | Muon spin rotation studies of spin dynamics at avoided level crossings
in LiY0.998Ho0.002F4 | We have studied the Ho3+ spin dynamics for LiY0.998Ho0.002F4 through the
positive muon (mu+) transverse field depolarization rate lambda_TF as a
function of temperature and magnetic field. We find sharp reductions in
lambda_TF(H) at fields of 23, 46 and 69 mT, for which the Ho3+ ion system has
field-induced (avoided) level crossings. The reduction scales with calculated
level repulsions, suggesting that mu+ depolarization by slow fluctuations of
non-resonant Ho3+ spin states is partially suppressed when resonant tunneling
opens new fluctuation channels at frequencies much greater than the muon
precession frequency.
| cond-mat.mes-hall | we have studied the ho3 spin dynamics for liy0998ho0002f4 through the positive muon mu transverse field depolarization rate lambda_tf as a function of temperature and magnetic field we find sharp reductions in lambda_tfh at fields of 23 46 and 69 mt for which the ho3 ion system has fieldinduced avoided level crossings the reduction scales with calculated level repulsions suggesting that mu depolarization by slow fluctuations of nonresonant ho3 spin states is partially suppressed when resonant tunneling opens new fluctuation channels at frequencies much greater than the muon precession frequency | [['we', 'have', 'studied', 'the', 'ho3', 'spin', 'dynamics', 'for', 'liy0998ho0002f4', 'through', 'the', 'positive', 'muon', 'mu', 'transverse', 'field', 'depolarization', 'rate', 'lambda_tf', 'as', 'a', 'function', 'of', 'temperature', 'and', 'magnetic', 'field', 'we', 'find', 'sharp', 'reductions', 'in', 'lambda_tfh', 'at', 'fields', 'of', '23', '46', 'and', '69', 'mt', 'for', 'which', 'the', 'ho3', 'ion', 'system', 'has', 'fieldinduced', 'avoided', 'level', 'crossings', 'the', 'reduction', 'scales', 'with', 'calculated', 'level', 'repulsions', 'suggesting', 'that', 'mu', 'depolarization', 'by', 'slow', 'fluctuations', 'of', 'nonresonant', 'ho3', 'spin', 'states', 'is', 'partially', 'suppressed', 'when', 'resonant', 'tunneling', 'opens', 'new', 'fluctuation', 'channels', 'at', 'frequencies', 'much', 'greater', 'than', 'the', 'muon', 'precession', 'frequency']] | [-0.20913258874949453, 0.32728935952630195, 0.04234187087665001, 0.1148167871776433, 0.029822557008471983, -0.1437899663605481, 0.0727454933509145, 0.3455407991577154, -0.24810195901837928, -0.3121855406026388, -0.019429623792964923, -0.28599363192915916, -0.012920948723598715, 0.20828013079262328, 0.08886269560276434, -0.03462137933954297, -0.011484528677645087, 0.01038896744995881, -0.04798113094541062, -0.16984701512552713, 0.24211135656497945, 0.09405562315864124, 0.2772980533625888, 0.11213918371746938, 0.10556111160408833, 0.016038102519313067, 0.11042264936727354, -0.005047411232351743, -0.13405287890180198, -0.017340142050377982, 0.22709215949985317, -0.047722370294190346, 0.18714154587694626, -0.3897499969635887, -0.16670403736054726, 0.04515530047978371, 0.16432039603194887, 0.15717723315726195, -0.033050355268642306, -0.26296128410760355, 0.053429342410259546, -0.10917687517772803, -0.13466458608685383, -0.07710827412833085, 0.04514955505247003, -0.04305737396038469, -0.28308948176516885, 0.16398556089970742, 0.07641965624121629, 0.16691839273740677, -0.07467774690353665, -0.1690079963695119, -0.04387398695187836, 0.00831668394324691, 0.10875697726993983, 0.12158320971895759, 0.21376487659290433, -0.0870275126299125, -0.1701263875684476, 0.2865870164281785, -0.13485798830699694, -0.12630672100931406, 0.16633199498956575, -0.3075492331576159, -0.08232137531941307, 0.27319337348400174, 0.14576721961620723, 0.06123143172389346, -0.13506582292849226, 0.06007477753372842, 0.06444265976034362, 0.16545659975884194, 0.10580717424337549, 0.07411065135129738, 0.23699469158918351, 0.15209023781581085, 0.07070008361572935, 0.12377903514408543, -0.1873249358486855, -0.05248284892810658, -0.2098404017715961, -0.09755069299081832, -0.13596770396434713, 0.11621066987857051, -0.05075542185550566, -0.08888425523864812, 0.3998336746603593, 0.10656186887103229, 0.17758510952504972, -0.004925115112932506, 0.26628270985066205, 0.16977848845196825, 0.1175978052344216, 0.07284697894028377, 0.2665198756617376, 0.19643341219480867, 0.11260900382573406, -0.3317737869714954, 0.020046556919770336, -0.04072293469511058] |
709.0685 | Not Only Because of Theory: Dyson, Eddington and the Competing Myths of
the 1919 Eclipse Expedition | The 1919 Eclipse Expedition to test the light-bending prediction of General
Relativity remains one of the most famous physics experiments of the 20th
century. However, in recent decades it has been increasingly often alleged that
the data-analysis of the expedition's leaders was faulty and biased in favor of
Einstein's theory. Arthur Stanley Eddington is particularly alleged to have
been prejudiced in favor of general relativity. Specifically it is claimed that
some of the data, which would have favored the so-called Newtonian prediction,
was thrown out on dubious grounds. This paper argues that a close examination
of the views of the expedition's organizers, and of their data analysis,
suggests that they had good grounds for acting as they did, and that the key
people involved, in particular the astronomer Frank Watson Dyson, were not
biased in favor of Einstein. It also draws attention to a modern re-analysis of
the most important eclipse plates which, though overlooked until now, tends to
strongly support the thesis of this paper.
| physics.hist-ph astro-ph gr-qc | the 1919 eclipse expedition to test the lightbending prediction of general relativity remains one of the most famous physics experiments of the 20th century however in recent decades it has been increasingly often alleged that the dataanalysis of the expeditions leaders was faulty and biased in favor of einsteins theory arthur stanley eddington is particularly alleged to have been prejudiced in favor of general relativity specifically it is claimed that some of the data which would have favored the socalled newtonian prediction was thrown out on dubious grounds this paper argues that a close examination of the views of the expeditions organizers and of their data analysis suggests that they had good grounds for acting as they did and that the key people involved in particular the astronomer frank watson dyson were not biased in favor of einstein it also draws attention to a modern reanalysis of the most important eclipse plates which though overlooked until now tends to strongly support the thesis of this paper | [['the', '1919', 'eclipse', 'expedition', 'to', 'test', 'the', 'lightbending', 'prediction', 'of', 'general', 'relativity', 'remains', 'one', 'of', 'the', 'most', 'famous', 'physics', 'experiments', 'of', 'the', '20th', 'century', 'however', 'in', 'recent', 'decades', 'it', 'has', 'been', 'increasingly', 'often', 'alleged', 'that', 'the', 'dataanalysis', 'of', 'the', 'expeditions', 'leaders', 'was', 'faulty', 'and', 'biased', 'in', 'favor', 'of', 'einsteins', 'theory', 'arthur', 'stanley', 'eddington', 'is', 'particularly', 'alleged', 'to', 'have', 'been', 'prejudiced', 'in', 'favor', 'of', 'general', 'relativity', 'specifically', 'it', 'is', 'claimed', 'that', 'some', 'of', 'the', 'data', 'which', 'would', 'have', 'favored', 'the', 'socalled', 'newtonian', 'prediction', 'was', 'thrown', 'out', 'on', 'dubious', 'grounds', 'this', 'paper', 'argues', 'that', 'a', 'close', 'examination', 'of', 'the', 'views', 'of', 'the', 'expeditions', 'organizers', 'and', 'of', 'their', 'data', 'analysis', 'suggests', 'that', 'they', 'had', 'good', 'grounds', 'for', 'acting', 'as', 'they', 'did', 'and', 'that', 'the', 'key', 'people', 'involved', 'in', 'particular', 'the', 'astronomer', 'frank', 'watson', 'dyson', 'were', 'not', 'biased', 'in', 'favor', 'of', 'einstein', 'it', 'also', 'draws', 'attention', 'to', 'a', 'modern', 'reanalysis', 'of', 'the', 'most', 'important', 'eclipse', 'plates', 'which', 'though', 'overlooked', 'until', 'now', 'tends', 'to', 'strongly', 'support', 'the', 'thesis', 'of', 'this', 'paper']] | [-0.07517730809063707, 0.07923604658081096, -0.14611584736393338, 0.10555801478057471, -0.15059289668759623, -0.15297312222712908, 0.03949153823399333, 0.3168977436115853, -0.1441393083211102, -0.31981391301490814, 0.13560874436502288, -0.29586448273845917, -0.16577121065172132, 0.18991796725712917, -0.14853001106530428, 0.03251951825889164, 0.07336528270704537, 0.028824573072060627, -0.009002580797280106, -0.32996752275804797, 0.2867457273637831, 0.14871214256139406, 0.2643416252727789, 0.04863844931697899, 0.03113075729416745, 0.0001865902646298868, -0.07718827924410622, 0.023802507708707534, -0.07925393171886337, 0.0993537594415584, 0.26645471408110427, 0.16819379689222402, 0.34152094565376817, -0.424085736375706, -0.19563300413618157, 0.0916287199066705, 0.13306714111976942, 0.10618809823378786, -0.02791431240375569, -0.2793126273058714, 0.025661773993689792, -0.1772690462200981, -0.1250312930949212, -0.013110955334156302, 0.09785138682500145, -0.03820924032605758, -0.14763299310972622, 0.05306733963735463, 0.09732050416115896, 0.07179211160863738, -0.0330255521518874, -0.14655514332712685, 0.003510114672050793, 0.1345556733529476, 0.15303684427986392, 0.06070492007623775, 0.08659507603670684, -0.10804723885894967, -0.08884866491411757, 0.4304501952670784, -0.005912914306924017, -0.08318646248087781, 0.20408817574364999, -0.17706342883469783, -0.1954190171329327, 0.07414919807412942, 0.12347026676197637, 0.08342005014952542, -0.14507989832256213, 0.049319149845305, -0.08866801506458187, 0.13798861623410674, 0.11257505856583411, -0.045585351406332915, 0.27694750474260965, 0.13050651052231754, -0.025134119848967587, 0.03445203915934067, -0.05119661441078432, -0.11799233763435567, -0.24065644660661648, -0.15859300101944526, -0.16813396869216068, 0.06226619308842809, 0.0069589688086213195, -0.173237117241608, 0.3212381125798067, 0.20133735746964362, 0.11661252680273884, -0.0006721321793542389, 0.2505505904611425, 0.0592476575279816, 0.07597403725958429, 0.05993327548368329, 0.37163336396147917, 0.1088188196467909, 0.14666968060612498, -0.12566733818658324, 0.13293978077407187, 0.017632739269875932] |
709.0686 | Bio-Mechanical Model of the Brain for a Per-Operative Image-Guided
Neuronavigator Compensating for "Brain-Shift" Deformations | In this paper we present a methodology to address the problem of brain tissue
deformation referred to as 'brain-shift'. This deformation occurs throughout a
neurosurgery intervention and strongly alters the accuracy of the
neuronavigation systems used to date in clinical routine which rely solely on
pre-operative patient imaging to locate the surgical target, such as a tumour
or a functional area. After a general description of the framework of our
intra-operative image-guided system, we describe a procedure to generate
patient specific finite element meshes of the brain and propose a biomechanical
model which can take into account tissue deformations and surgical procedures
that modify the brain structure, like tumour or tissue resection.
| physics.med-ph | in this paper we present a methodology to address the problem of brain tissue deformation referred to as brainshift this deformation occurs throughout a neurosurgery intervention and strongly alters the accuracy of the neuronavigation systems used to date in clinical routine which rely solely on preoperative patient imaging to locate the surgical target such as a tumour or a functional area after a general description of the framework of our intraoperative imageguided system we describe a procedure to generate patient specific finite element meshes of the brain and propose a biomechanical model which can take into account tissue deformations and surgical procedures that modify the brain structure like tumour or tissue resection | [['in', 'this', 'paper', 'we', 'present', 'a', 'methodology', 'to', 'address', 'the', 'problem', 'of', 'brain', 'tissue', 'deformation', 'referred', 'to', 'as', 'brainshift', 'this', 'deformation', 'occurs', 'throughout', 'a', 'neurosurgery', 'intervention', 'and', 'strongly', 'alters', 'the', 'accuracy', 'of', 'the', 'neuronavigation', 'systems', 'used', 'to', 'date', 'in', 'clinical', 'routine', 'which', 'rely', 'solely', 'on', 'preoperative', 'patient', 'imaging', 'to', 'locate', 'the', 'surgical', 'target', 'such', 'as', 'a', 'tumour', 'or', 'a', 'functional', 'area', 'after', 'a', 'general', 'description', 'of', 'the', 'framework', 'of', 'our', 'intraoperative', 'imageguided', 'system', 'we', 'describe', 'a', 'procedure', 'to', 'generate', 'patient', 'specific', 'finite', 'element', 'meshes', 'of', 'the', 'brain', 'and', 'propose', 'a', 'biomechanical', 'model', 'which', 'can', 'take', 'into', 'account', 'tissue', 'deformations', 'and', 'surgical', 'procedures', 'that', 'modify', 'the', 'brain', 'structure', 'like', 'tumour', 'or', 'tissue', 'resection']] | [0.009949760792592357, 0.04475933633459447, -0.0848905560917112, 0.06426523460352139, -0.0888768003263452, -0.13979943511957252, 0.03330344983968078, 0.3748760436166514, -0.22733596142230406, -0.2724905126971436, 0.11951336029052802, -0.21435998597283018, -0.2370007222587545, 0.17722090042766755, -0.1866152505642055, 0.05846446148447088, 0.10809287004307047, 0.052348938437078045, 0.003045999442923579, -0.19148229563247984, 0.26511249747462906, 0.007175925410633722, 0.3163917384420832, 0.038758207631700146, 0.14188558521453995, 0.05080385136770437, -0.01722232251520361, 0.02918344068651398, -0.12899499518099622, 0.16240258847451391, 0.3512659456312388, 0.19296887006426044, 0.33266796413095884, -0.5084143766277546, -0.27681392943067057, 0.07965962986906504, 0.13578730100463773, 0.1346683641801261, -0.0004211727011663554, -0.2953755237174699, 0.056704441922389576, -0.14456526612913287, -0.09181703504663682, -0.10033752551084166, -0.062469883494683215, -0.04034703720396653, -0.2772552465158934, 0.10278998463423, 0.028500166117540887, 0.11020036538441975, -0.1305926389077695, -0.023596105310512153, 0.007401001906055991, 0.2108317376995409, 0.013756788863280267, 0.08095639488903118, 0.23328486982909208, -0.16464388447442418, -0.05988014757901699, 0.3726924192663786, 0.08771751335452872, -0.21625657490379102, 0.16500125079508032, -0.1065176903712773, -0.12193096201417984, 0.12178143976373715, 0.2530389526892487, 0.125636324905245, -0.19493192648315835, -0.00716947474640685, 0.08022078783628908, 0.19044738611927978, 0.048581613865387334, -0.081947654667667, 0.15488156293275523, 0.2481090928142605, 0.009729512214140446, 0.14003268488355586, -0.14259375624467727, 0.005417559178428607, -0.27977459863885434, -0.1952204884004754, -0.09013141063881014, 0.010690201463509217, -0.05724686873315829, -0.2726391524261048, 0.43235712003399124, 0.15634356412487546, 0.16735725052684108, 0.011398172073133357, 0.29796813519856147, -0.00794684333277883, 0.11118405417912547, -0.05134168849116913, 0.15464889847564403, 0.028827096964337502, 0.09830780881498982, -0.25648897888164063, 0.12040421777396454, 0.06505291448562062] |
709.0687 | On the concept of relativistic mass | Within the past fifteen years the use of the concept of "relativistic mass"
has been on the decline and has been replaced by the concept of "proper mass"
(aka "rest mass") - ?simply referred to as "mass" and labeled "m" by its
proponents. This decline in usage appears to be due to arguments presented in
several journal articles over the last thirty-five years, as well as to
standard practices in the field of particle physics. The aforementioned debate
consists of arguments as to how the term "mass" should be defined to maximize
logic as well as to be less confusing to the layman and people just starting to
learn relativity. Lacking in the debate is a clear definition of all types of
mass and all its usages in a wide variety of cases. The purpose in this article
is to bring a unifying perspective to the subject. In doing so I will explore
those things omitted from previous articles on this subject including the
importance of point particles vs. extended objects; open vs. closed systems and
gravitational mass. Although I argue for the usage of relativistic mass I do
"not" argue that proper mass is not an important tool in relativistic dynamics.
| physics.gen-ph | within the past fifteen years the use of the concept of relativistic mass has been on the decline and has been replaced by the concept of proper mass aka rest mass simply referred to as mass and labeled m by its proponents this decline in usage appears to be due to arguments presented in several journal articles over the last thirtyfive years as well as to standard practices in the field of particle physics the aforementioned debate consists of arguments as to how the term mass should be defined to maximize logic as well as to be less confusing to the layman and people just starting to learn relativity lacking in the debate is a clear definition of all types of mass and all its usages in a wide variety of cases the purpose in this article is to bring a unifying perspective to the subject in doing so i will explore those things omitted from previous articles on this subject including the importance of point particles vs extended objects open vs closed systems and gravitational mass although i argue for the usage of relativistic mass i do not argue that proper mass is not an important tool in relativistic dynamics | [['within', 'the', 'past', 'fifteen', 'years', 'the', 'use', 'of', 'the', 'concept', 'of', 'relativistic', 'mass', 'has', 'been', 'on', 'the', 'decline', 'and', 'has', 'been', 'replaced', 'by', 'the', 'concept', 'of', 'proper', 'mass', 'aka', 'rest', 'mass', 'simply', 'referred', 'to', 'as', 'mass', 'and', 'labeled', 'm', 'by', 'its', 'proponents', 'this', 'decline', 'in', 'usage', 'appears', 'to', 'be', 'due', 'to', 'arguments', 'presented', 'in', 'several', 'journal', 'articles', 'over', 'the', 'last', 'thirtyfive', 'years', 'as', 'well', 'as', 'to', 'standard', 'practices', 'in', 'the', 'field', 'of', 'particle', 'physics', 'the', 'aforementioned', 'debate', 'consists', 'of', 'arguments', 'as', 'to', 'how', 'the', 'term', 'mass', 'should', 'be', 'defined', 'to', 'maximize', 'logic', 'as', 'well', 'as', 'to', 'be', 'less', 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-0.14066408643387815, 0.04687325528994277, 0.02101606493514606] |
709.0688 | rho0(770)-f0(980) mixing and CPT violation in a non-unitary evolution of
pion creation process pi(-)p->pi(-)pi(+)n on polarized target | Unitary evolution from pure initial states to pure final states in pi(-)p->
pi(-)pi(+)n imposes constraints on pion production amplitudes that are violated
by CERN data on polarized target at 17.2 GeV/c. The pion creation is a
non-unitary process arising from a unitary co-evolution of the pion creation
process with a quantum environment. The purpose of this work is to identify the
interacting degrees of freedom of the environment in a high resolution
amplitude analysis of CERN data on polarized target for dipion masses 580-1080
MeV. The S-wave spectra |S|^2 show presence of rho0(770) while P-wave spectra
|L|^2 show a dip at f0(980) mass. The observed rho0(770)-f0(980) mixing is
encoded in all measured density matrix elements which also encode a level
splitting of the spectra arising from the interaction of the pion creation
process with the environment. The analytical form of the level splitting
reveals the existence of a new quantum number characterizing the environment.
We propose a model for the CPT violating interaction of the pion creation
process with the environment in which non-diagonal transitions between resonant
qqbar modes and pi(-)pi(+) states lead to vector-scalar mixing and a dynamic
entanglement of the pi(-)pi(+) isospin states. The final states pi(-)p(+)n do
not posses CPT cojugate states and the concept of CPT symmetry looses its
meanining.
| hep-ph hep-th | unitary evolution from pure initial states to pure final states in pip pipin imposes constraints on pion production amplitudes that are violated by cern data on polarized target at 172 gevc the pion creation is a nonunitary process arising from a unitary coevolution of the pion creation process with a quantum environment the purpose of this work is to identify the interacting degrees of freedom of the environment in a high resolution amplitude analysis of cern data on polarized target for dipion masses 5801080 mev the swave spectra s2 show presence of rho0770 while pwave spectra l2 show a dip at f0980 mass the observed rho0770f0980 mixing is encoded in all measured density matrix elements which also encode a level splitting of the spectra arising from the interaction of the pion creation process with the environment the analytical form of the level splitting reveals the existence of a new quantum number characterizing the environment we propose a model for the cpt violating interaction of the pion creation process with the environment in which nondiagonal transitions between resonant qqbar modes and pipi states lead to vectorscalar mixing and a dynamic entanglement of the pipi isospin states the final states pipn do not posses cpt cojugate states and the concept of cpt symmetry looses its meanining | [['unitary', 'evolution', 'from', 'pure', 'initial', 'states', 'to', 'pure', 'final', 'states', 'in', 'pip', 'pipin', 'imposes', 'constraints', 'on', 'pion', 'production', 'amplitudes', 'that', 'are', 'violated', 'by', 'cern', 'data', 'on', 'polarized', 'target', 'at', '172', 'gevc', 'the', 'pion', 'creation', 'is', 'a', 'nonunitary', 'process', 'arising', 'from', 'a', 'unitary', 'coevolution', 'of', 'the', 'pion', 'creation', 'process', 'with', 'a', 'quantum', 'environment', 'the', 'purpose', 'of', 'this', 'work', 'is', 'to', 'identify', 'the', 'interacting', 'degrees', 'of', 'freedom', 'of', 'the', 'environment', 'in', 'a', 'high', 'resolution', 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709.0689 | A Plantar-pressure Based Tongue-placed Tactile Biofeedback System for
Balance Improvement | Maintaining an upright stance represents a complex task, which is achieved by
integrating sensory information from the visual, vestibular and somatosensory
systems. When one of these sensory inputs becomes unavailable and/or inaccurate
and/or unreliable, postural control generally is degraded. One way to solve
this problem is to supplement and/or substitute limited/altered/missing sensory
information by providing additional sensory information to the central nervous
system via an alternative sensory modality. Along these lines, we developed an
original biofeedback system [1] whose underlying principle consists in
supplying the user with supplementary sensory information related to foot sole
pressure distribution through a tongue-placed output device (Tongue Display
Unit, "TDU" [2]). The purpose of the present experiment was to assess its
effectiveness in improving balance in young healthy adults.
| physics.med-ph q-bio.NC | maintaining an upright stance represents a complex task which is achieved by integrating sensory information from the visual vestibular and somatosensory systems when one of these sensory inputs becomes unavailable andor inaccurate andor unreliable postural control generally is degraded one way to solve this problem is to supplement andor substitute limitedalteredmissing sensory information by providing additional sensory information to the central nervous system via an alternative sensory modality along these lines we developed an original biofeedback system 1 whose underlying principle consists in supplying the user with supplementary sensory information related to foot sole pressure distribution through a tongueplaced output device tongue display unit tdu 2 the purpose of the present experiment was to assess its effectiveness in improving balance in young healthy adults | [['maintaining', 'an', 'upright', 'stance', 'represents', 'a', 'complex', 'task', 'which', 'is', 'achieved', 'by', 'integrating', 'sensory', 'information', 'from', 'the', 'visual', 'vestibular', 'and', 'somatosensory', 'systems', 'when', 'one', 'of', 'these', 'sensory', 'inputs', 'becomes', 'unavailable', 'andor', 'inaccurate', 'andor', 'unreliable', 'postural', 'control', 'generally', 'is', 'degraded', 'one', 'way', 'to', 'solve', 'this', 'problem', 'is', 'to', 'supplement', 'andor', 'substitute', 'limitedalteredmissing', 'sensory', 'information', 'by', 'providing', 'additional', 'sensory', 'information', 'to', 'the', 'central', 'nervous', 'system', 'via', 'an', 'alternative', 'sensory', 'modality', 'along', 'these', 'lines', 'we', 'developed', 'an', 'original', 'biofeedback', 'system', '1', 'whose', 'underlying', 'principle', 'consists', 'in', 'supplying', 'the', 'user', 'with', 'supplementary', 'sensory', 'information', 'related', 'to', 'foot', 'sole', 'pressure', 'distribution', 'through', 'a', 'tongueplaced', 'output', 'device', 'tongue', 'display', 'unit', 'tdu', '2', 'the', 'purpose', 'of', 'the', 'present', 'experiment', 'was', 'to', 'assess', 'its', 'effectiveness', 'in', 'improving', 'balance', 'in', 'young', 'healthy', 'adults']] | [-0.10136833396641826, 0.07643613682591784, -0.034193876805162525, 0.033416899241037606, -0.14221441351271014, -0.21304856877910291, 0.043775877032269976, 0.3841512575442713, -0.279984831023011, -0.3375449217076279, 0.10562307381722319, -0.26727331251027137, -0.18276894069466043, 0.17577370294044173, -0.21916545313563884, 0.04240183585949954, 0.07229030022503642, 0.10022912049671726, 0.06152812364829204, -0.19964599441590233, 0.27854033088409985, 0.08864942380336939, 0.27114106782658093, -0.020045309293470006, 0.14912147170720183, 0.02450119317849962, -0.05322032390404644, -0.08106156733129324, -0.03782037447009811, 0.17943367365145738, 0.32074044985181793, 0.20322987455798963, 0.34381239580338807, -0.48278924791006056, -0.24553292549813424, 0.04708910485960513, 0.11879235144129129, 0.08367636665887374, -0.03498626259208574, -0.3329080705023636, 0.08959911365016568, -0.13015165339731347, -0.08436162111953249, -0.029290691972142312, -0.01704900784025677, -0.04295382119631925, -0.3084555066444313, 0.07007501488816507, 0.05652980892388983, 0.1581931757642244, -0.11265039192304409, -0.047392947938126644, -0.051454856698363416, 0.25564975397802353, 0.030987311022098715, 0.0720574563478945, 0.2502319887015454, -0.18841329665960577, -0.06928114124906923, 0.3325254435128555, 0.05312082060135719, -0.22339101645497347, 0.2042479708012784, -0.06642002935475874, -0.08059254455251422, 0.13892504202421543, 0.14740832038678048, 0.019440740180330547, -0.23761553347086614, -0.0683145518684419, 0.029351777094227028, 0.23665244815439532, 0.07772242042379893, 0.010447330466221745, 0.21609263405264392, 0.1884769165913983, 0.03834058437685717, 0.16795000935028254, -0.07034192151911518, -0.059568263225946425, -0.21528691220725696, -0.12890167640355543, -0.13345267854789952, 0.017936116864344452, -0.08313085664689779, -0.08263979209359826, 0.32975627981671474, 0.16039812682968815, 0.19300637293296555, 0.013915606750728093, 0.3619394249063197, 0.06560390723899491, 0.07754276571530334, 0.030387655449027908, 0.1706177373217964, 0.06592421730359395, 0.1701492429833965, -0.2198512682149838, 0.15385079959301445, 0.012666368932743383] |
709.069 | Constructing presentations of subgroups of right-angled Artin groups | Let $G$ be the right-angled Artin group associated to the flag complex
$\Sigma$ and let $\pi:G\to\Z$ be its canonical height function. We investigate
the presentation theory of the groups $\Gamma_n=\pi^{-1}(n\Z)$ and construct an
algorithm that, given $n$ and $\Sigma$, outputs a presentation of optimal
deficiency on a minimal generating set, provided $\Sigma$ is triangle-free; the
deficiency tends to infinity as $n\to\infty$ if and only if the corresponding
Bestvina-Brady kernel $\bigcap_n\Gamma_n$ is not finitely presented, and the
algorithm detects whether this is the case. We explain why there cannot exist
an algorithm that constructs finite presentations with these properties in the
absence of the triangle-free hypothesis. We explore what is possible in the
general case, describing how to use the configuration of 2-simplices in
$\Sigma$ to simplify presentations and giving conditions on $\Sigma$ that
ensure that the deficiency goes to infinity with $n$. We also prove, for
general $\Sigma$, that the abelianized deficiency of $\Gamma_n$ tends to
infinity if and only if $\Sigma$ is 1-acyclic, and discuss connections with the
relation gap problem.
| math.GR | let g be the rightangled artin group associated to the flag complex sigma and let pigtoz be its canonical height function we investigate the presentation theory of the groups gamma_npi1nz and construct an algorithm that given n and sigma outputs a presentation of optimal deficiency on a minimal generating set provided sigma is trianglefree the deficiency tends to infinity as ntoinfty if and only if the corresponding bestvinabrady kernel bigcap_ngamma_n is not finitely presented and the algorithm detects whether this is the case we explain why there cannot exist an algorithm that constructs finite presentations with these properties in the absence of the trianglefree hypothesis we explore what is possible in the general case describing how to use the configuration of 2simplices in sigma to simplify presentations and giving conditions on sigma that ensure that the deficiency goes to infinity with n we also prove for general sigma that the abelianized deficiency of gamma_n tends to infinity if and only if sigma is 1acyclic and discuss connections with the relation gap problem | [['let', 'g', 'be', 'the', 'rightangled', 'artin', 'group', 'associated', 'to', 'the', 'flag', 'complex', 'sigma', 'and', 'let', 'pigtoz', 'be', 'its', 'canonical', 'height', 'function', 'we', 'investigate', 'the', 'presentation', 'theory', 'of', 'the', 'groups', 'gamma_npi1nz', 'and', 'construct', 'an', 'algorithm', 'that', 'given', 'n', 'and', 'sigma', 'outputs', 'a', 'presentation', 'of', 'optimal', 'deficiency', 'on', 'a', 'minimal', 'generating', 'set', 'provided', 'sigma', 'is', 'trianglefree', 'the', 'deficiency', 'tends', 'to', 'infinity', 'as', 'ntoinfty', 'if', 'and', 'only', 'if', 'the', 'corresponding', 'bestvinabrady', 'kernel', 'bigcap_ngamma_n', 'is', 'not', 'finitely', 'presented', 'and', 'the', 'algorithm', 'detects', 'whether', 'this', 'is', 'the', 'case', 'we', 'explain', 'why', 'there', 'can', 'not', 'exist', 'an', 'algorithm', 'that', 'constructs', 'finite', 'presentations', 'with', 'these', 'properties', 'in', 'the', 'absence', 'of', 'the', 'trianglefree', 'hypothesis', 'we', 'explore', 'what', 'is', 'possible', 'in', 'the', 'general', 'case', 'describing', 'how', 'to', 'use', 'the', 'configuration', 'of', '2simplices', 'in', 'sigma', 'to', 'simplify', 'presentations', 'and', 'giving', 'conditions', 'on', 'sigma', 'that', 'ensure', 'that', 'the', 'deficiency', 'goes', 'to', 'infinity', 'with', 'n', 'we', 'also', 'prove', 'for', 'general', 'sigma', 'that', 'the', 'abelianized', 'deficiency', 'of', 'gamma_n', 'tends', 'to', 'infinity', 'if', 'and', 'only', 'if', 'sigma', 'is', '1acyclic', 'and', 'discuss', 'connections', 'with', 'the', 'relation', 'gap', 'problem']] | [-0.10033595272389477, 0.11464670508670809, -0.0831716188598843, 0.08668816337339888, -0.0999092362096434, -0.15870525624834486, 0.036863618543421156, 0.3756485090524884, -0.299061464148535, -0.2524983548068789, 0.08862789348112254, -0.29851202406099386, -0.16752648245289745, 0.14099914487451315, -0.11071519248914966, -0.04500554678114352, 0.03524056002745658, 0.1238900271861555, -0.056599091380605884, -0.2799364146397631, 0.33981524445612493, 0.0012709311424539639, 0.21537197539004216, 0.05906796898721606, 0.07959708377419965, -0.006790999155050728, 0.009108728563864908, 0.03343078748119124, -0.17122969751150008, 0.07638719727108861, 0.26496738197623626, 0.15156658778942506, 0.22234412316321092, -0.38198015970018134, -0.14143917404291545, 0.21115188068743332, 0.15332626820867054, 0.03764278363689957, -0.005883555068529746, -0.21002151478445652, 0.17036220697972293, -0.12850631054555556, -0.19112333787306207, -0.03195111279392383, 0.08155394938344565, -0.01639207135114444, -0.23746558389979133, 0.0012533926064377243, 0.10307551924822599, 0.053748582516481395, -0.0009177073391330754, -0.10948746469692938, -0.04053273445998247, 0.12782008063665332, 0.03121782642976552, 0.049439151966999446, 0.05804647362554038, -0.09192983111636659, -0.08553442780545653, 0.3895249353312218, -0.07092695835338542, -0.2536498689445386, 0.16185301708156716, -0.18067778840512258, -0.15512479870916296, 0.08861001798354046, 0.10809320982300384, 0.0921061505899715, -0.049748524910489304, 0.1723270900630166, -0.10756893090617198, 0.16732956489448894, 0.07085690479835816, -0.04190563483813987, 0.12094256134852546, 0.1128922653695866, 0.10754089767234565, 0.12843410872314234, -0.006979535793618315, 0.022010829157441215, -0.39095995513468806, -0.17320053124546828, -0.14499294532589702, 0.11228475763518281, -0.08637572032573065, -0.17942521382900253, 0.3458715639953342, 0.13488328842358036, 0.19641130792318717, 0.13725666460972388, 0.20600272592201213, 0.12656806723620073, 0.022554581141727564, 0.10948327775719471, 0.11582671184390342, 0.1954818165726056, -0.03493327541089446, -0.19694175363963293, 0.041683873208515215, 0.11424195715198679] |
709.0691 | Dynamical modelling of luminous and dark matter in 17 Coma early-type
galaxies | Dynamical models for 17 Coma early-type galaxies are presented. The galaxy
sample consists of flattened, rotating as well as non-rotating early-types
including cD and S0 galaxies with luminosities between M=-18.79 and M=-22.56.
Kinematical long-slit observations cover at least the major and minor axis and
extend to 1-4 effective radii. Axisymmetric Schwarzschild models are used to
derive stellar mass-to-light ratios and dark halo parameters. In every galaxy
models with a dark matter halo match the data better than models without. The
statistical significance is over 95 percent for 8 galaxies, around 90 percent
for 5 galaxies and for four galaxies it is not significant. For the highly
significant cases systematic deviations between observed and modelled
kinematics are clearly seen; for the remaining galaxies differences are more
statistical in nature. Best-fit models contain 10-50 percent dark matter inside
the half-light radius. The central dark matter density is at least one order of
magnitude lower than the luminous mass density. The central phase-space density
of dark matter is often orders of magnitude lower than in the luminous
component, especially when the halo core radius is large. The orbital system of
the stars along the major-axis is slightly dominated by radial motions. Some
galaxies show tangential anisotropy along the minor-axis, which is correlated
with the minor-axis Gauss-Hermite coefficient H4. Changing the balance between
data-fit and regularisation constraints does not change the reconstructed mass
structure significantly. Model anisotropies tend to strengthen if the weight on
regularisation is reduced, but the general property of a galaxy to be radially
or tangentially anisotropic, respectively, does not change. (abridged)
| astro-ph | dynamical models for 17 coma earlytype galaxies are presented the galaxy sample consists of flattened rotating as well as nonrotating earlytypes including cd and s0 galaxies with luminosities between m1879 and m2256 kinematical longslit observations cover at least the major and minor axis and extend to 14 effective radii axisymmetric schwarzschild models are used to derive stellar masstolight ratios and dark halo parameters in every galaxy models with a dark matter halo match the data better than models without the statistical significance is over 95 percent for 8 galaxies around 90 percent for 5 galaxies and for four galaxies it is not significant for the highly significant cases systematic deviations between observed and modelled kinematics are clearly seen for the remaining galaxies differences are more statistical in nature bestfit models contain 1050 percent dark matter inside the halflight radius the central dark matter density is at least one order of magnitude lower than the luminous mass density the central phasespace density of dark matter is often orders of magnitude lower than in the luminous component especially when the halo core radius is large the orbital system of the stars along the majoraxis is slightly dominated by radial motions some galaxies show tangential anisotropy along the minoraxis which is correlated with the minoraxis gausshermite coefficient h4 changing the balance between datafit and regularisation constraints does not change the reconstructed mass structure significantly model anisotropies tend to strengthen if the weight on regularisation is reduced but the general property of a galaxy to be radially or tangentially anisotropic respectively does not change abridged | [['dynamical', 'models', 'for', '17', 'coma', 'earlytype', 'galaxies', 'are', 'presented', 'the', 'galaxy', 'sample', 'consists', 'of', 'flattened', 'rotating', 'as', 'well', 'as', 'nonrotating', 'earlytypes', 'including', 'cd', 'and', 's0', 'galaxies', 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709.0692 | Thickness-dependence of the electronic properties in V2O3 thin films | High quality vanadium sesquioxide V2O3 films (170-1100 {\AA}) were grown
using the pulsed laser deposition technique on (0001)-oriented sapphire
substrates, and the effects of film thickness on the lattice strain and
electronic properties were examined. X-ray diffraction indicates that there is
an in-plane compressive lattice parameter (a), close to -3.5% with respect to
the substrate and an out-of-plane tensile lattice parameter (c) . The thin film
samples display metallic character between 2-300 K, and no metal-to-insulator
transition is observed. At low temperature, the V2O3 films behave as a strongly
correlated metal, and the resistivity (\rho) follows the equation \rho =\rho_0
+ A T^2, where A is the transport coefficient in a Fermi liquid. Typical values
of A have been calculated to be 0.14 \mu\Omega cm K^{-2}, which is in agreement
with the coefficient reported for V2O3 single crystals under high pressure.
Moreover, a strong temperature-dependence of the Hall resistance confirms the
electronic correlations of these V2O3 thin films samples.
| cond-mat.str-el cond-mat.mtrl-sci | high quality vanadium sesquioxide v2o3 films 1701100 aa were grown using the pulsed laser deposition technique on 0001oriented sapphire substrates and the effects of film thickness on the lattice strain and electronic properties were examined xray diffraction indicates that there is an inplane compressive lattice parameter a close to 35 with respect to the substrate and an outofplane tensile lattice parameter c the thin film samples display metallic character between 2300 k and no metaltoinsulator transition is observed at low temperature the v2o3 films behave as a strongly correlated metal and the resistivity rho follows the equation rho rho_0 a t2 where a is the transport coefficient in a fermi liquid typical values of a have been calculated to be 014 muomega cm k2 which is in agreement with the coefficient reported for v2o3 single crystals under high pressure moreover a strong temperaturedependence of the hall resistance confirms the electronic correlations of these v2o3 thin films samples | [['high', 'quality', 'vanadium', 'sesquioxide', 'v2o3', 'films', '1701100', 'aa', 'were', 'grown', 'using', 'the', 'pulsed', 'laser', 'deposition', 'technique', 'on', '0001oriented', 'sapphire', 'substrates', 'and', 'the', 'effects', 'of', 'film', 'thickness', 'on', 'the', 'lattice', 'strain', 'and', 'electronic', 'properties', 'were', 'examined', 'xray', 'diffraction', 'indicates', 'that', 'there', 'is', 'an', 'inplane', 'compressive', 'lattice', 'parameter', 'a', 'close', 'to', '35', 'with', 'respect', 'to', 'the', 'substrate', 'and', 'an', 'outofplane', 'tensile', 'lattice', 'parameter', 'c', 'the', 'thin', 'film', 'samples', 'display', 'metallic', 'character', 'between', '2300', 'k', 'and', 'no', 'metaltoinsulator', 'transition', 'is', 'observed', 'at', 'low', 'temperature', 'the', 'v2o3', 'films', 'behave', 'as', 'a', 'strongly', 'correlated', 'metal', 'and', 'the', 'resistivity', 'rho', 'follows', 'the', 'equation', 'rho', 'rho_0', 'a', 't2', 'where', 'a', 'is', 'the', 'transport', 'coefficient', 'in', 'a', 'fermi', 'liquid', 'typical', 'values', 'of', 'a', 'have', 'been', 'calculated', 'to', 'be', '014', 'muomega', 'cm', 'k2', 'which', 'is', 'in', 'agreement', 'with', 'the', 'coefficient', 'reported', 'for', 'v2o3', 'single', 'crystals', 'under', 'high', 'pressure', 'moreover', 'a', 'strong', 'temperaturedependence', 'of', 'the', 'hall', 'resistance', 'confirms', 'the', 'electronic', 'correlations', 'of', 'these', 'v2o3', 'thin', 'films', 'samples']] | [-0.1441969481141617, 0.23412101628808812, -0.05745559503049709, -0.07002669714618093, -0.0007008748361840844, -0.17753587333031762, 0.0843663673224047, 0.47016218427616435, -0.25356841504085775, -0.27384471790514325, 0.007420607700717086, -0.374068004413484, -0.0655298637620245, 0.21639624436815771, 0.04157675917546536, 0.05933127030561408, -0.06821324267254497, -0.09750336366824996, -0.1337641213217583, -0.20036359128500456, 0.22198144469756442, 0.04011539068484966, 0.37719462416134775, 0.09758924219521503, 0.040840402320146754, -0.05170289862853212, 0.17242156143467396, 0.06474125254541062, -0.2152240657987232, -0.015580980853440288, 0.2536497570033997, -0.20354001544972514, 0.15873021728550205, -0.40215864951889485, -0.23119600144071648, -0.05775727807597902, 0.05032332725199805, 0.06731815300997532, -0.06994759071116838, -0.23083969338749272, 0.08213104800774883, -0.10159645406887509, -0.0889965874554876, -0.05213537691340137, 0.0027173841431832467, -0.027046274626814127, -0.2615327055212289, 0.12364108684377219, 0.025327200144648742, 0.16508391078036183, -0.1258286128166872, -0.17670716830672553, -0.11125633772462606, 0.004501527832009089, 0.060064295444112174, 0.11252228481671175, 0.2340555002894969, -0.1096820438412042, -0.024783016645158522, 0.37434145184950185, -0.06309617470758848, -0.03280925336264026, 0.1553532000935565, -0.22822369917188412, -0.05333035874467056, 0.2223373912483788, 0.0904780089085062, 0.09219666805345184, -0.11493695641640955, 0.06213422570185802, -0.026652971047531955, 0.29426657339671436, 0.09288701269393548, 0.03259416864113099, 0.19259809701142308, 0.2155185263530793, -0.024318549109664626, 0.15715634501583947, -0.14957904301058406, 0.058138681754756436, -0.16911600503282478, -0.19005723854393297, -0.2199581800870454, 0.100054515828677, -0.14355961557801214, -0.22750267555835682, 0.327216265630574, 0.07297764641220848, 0.20193721202966303, -0.06884363650281627, 0.18921396715524727, 0.08713266850622275, 0.05033391388357044, 0.01324040316290055, 0.2592610761236686, 0.2023640012052149, 0.14834106590868218, -0.2671220593440991, 0.14497736651892176, -0.04382905057923964] |
709.0693 | The closed string spectrum of SU(N) gauge theories in 2+1 dimensions | We use lattice techniques to study the closed-string spectrum of SU(N) gauge
theories in 2+1 dimensions. We calculate the energies of the lowest lying ~30
states for strings with lengths between l ~ 0.45 fm and l ~ 3 fm, and compare
to different theoretical predictions. We obtain unambiguous evidence that the
closed-strings are in the universality class of the Nambu-Goto free bosonic
string. Moreover, we clearly see that our data can be described by a covariant
string theory with a small/moderate correction down to very short distance
scales, and possibly on all distance scales at large-N.
| hep-lat hep-th | we use lattice techniques to study the closedstring spectrum of sun gauge theories in 21 dimensions we calculate the energies of the lowest lying 30 states for strings with lengths between l 045 fm and l 3 fm and compare to different theoretical predictions we obtain unambiguous evidence that the closedstrings are in the universality class of the nambugoto free bosonic string moreover we clearly see that our data can be described by a covariant string theory with a smallmoderate correction down to very short distance scales and possibly on all distance scales at largen | [['we', 'use', 'lattice', 'techniques', 'to', 'study', 'the', 'closedstring', 'spectrum', 'of', 'sun', 'gauge', 'theories', 'in', '21', 'dimensions', 'we', 'calculate', 'the', 'energies', 'of', 'the', 'lowest', 'lying', '30', 'states', 'for', 'strings', 'with', 'lengths', 'between', 'l', '045', 'fm', 'and', 'l', '3', 'fm', 'and', 'compare', 'to', 'different', 'theoretical', 'predictions', 'we', 'obtain', 'unambiguous', 'evidence', 'that', 'the', 'closedstrings', 'are', 'in', 'the', 'universality', 'class', 'of', 'the', 'nambugoto', 'free', 'bosonic', 'string', 'moreover', 'we', 'clearly', 'see', 'that', 'our', 'data', 'can', 'be', 'described', 'by', 'a', 'covariant', 'string', 'theory', 'with', 'a', 'smallmoderate', 'correction', 'down', 'to', 'very', 'short', 'distance', 'scales', 'and', 'possibly', 'on', 'all', 'distance', 'scales', 'at', 'largen']] | [-0.1235603388368843, 0.2109471999173884, -0.07833769205555205, 0.13415428592513004, -0.018969950228629094, -0.13745340082033347, 0.059511044351834685, 0.36757733480584237, -0.2099840081477117, -0.31324951845892174, 0.04278065805493664, -0.2944478933769529, -0.06588543919966586, 0.14614953455184737, 0.030598953726791566, -0.00639581667279364, 0.017525076255282407, 0.038514902434682335, -0.1399620958123236, -0.2225067095170098, 0.2948443256769209, 0.033494872251345266, 0.2524772962875744, 0.0794926472809366, 0.035701883597529786, -0.029771158847236825, -0.014020893662687271, 0.02524699373871729, -0.17600491662057222, 0.11223389365727843, 0.22880206142942752, 0.035480635556121985, 0.12575322918353543, -0.3943385725780841, -0.19968555549720443, 0.04690729614387276, 0.14077827587263078, 0.16460699895496972, 0.05950505794551704, -0.2482548925665117, 0.13340339025542622, -0.15101313767754423, -0.16456805457115695, -0.059234002524966835, 0.06408573906888725, -0.054397412307900926, -0.22359598092284175, 0.0933482172893941, 0.003787461588139175, 0.06357634470107094, -0.04091281937535412, -0.12936905724927783, -0.0013677569864954929, 0.13072629335025945, 0.08357740115494497, 0.09325056225411914, 0.0747253162716265, -0.11306086811487392, -0.15395160211670783, 0.3754335298773743, -0.11281307226031899, -0.1556119408949168, 0.22464971639896913, -0.1672860652018058, -0.15005113109846108, 0.107012685155496, 0.12237780835599668, 0.10429587787497908, -0.1108526046518036, 0.13663279977997939, -0.01949561810651694, 0.19449412633172958, 0.08931032781018525, 0.06689882427153568, 0.24071034845165026, 0.10282674444068263, 0.01152667554936582, 0.11335917731361483, -0.11028649361794113, -0.1034403661796723, -0.3655909701132826, -0.07337525765591811, -0.15473203235481095, 0.09325091182554682, -0.11751063175011872, -0.13196259352468676, 0.336079193859972, 0.1602313983634675, 0.23870652270633527, 0.12265189847613495, 0.19144975303882553, 0.06822146838455792, 0.07120191524185801, 0.08864170433052125, 0.2195724159121133, 0.14790769550018013, 0.04467212514806619, -0.22779554989369166, -0.12307051465576214, 0.1030098056741139] |
709.0694 | A Rigid-Field Hydrodynamics approach to modeling the magnetospheres of
massive stars | We introduce a new Rigid-Field Hydrodynamics approach to modeling the
magnetospheres of massive stars in the limit of very-strong magnetic fields.
Treating the field lines as effectively rigid, we develop hydrodynamical
equations describing the 1-dimensional flow along each, subject to pressure,
radiative, gravitational, and centrifugal forces. We solve these equations
numerically for a large ensemble of field lines, to build up a 3-dimensional
time-dependent simulation of a model star with parameters similar to the
archetypal Bp star sigma Ori E. Since the flow along each field line can be
solved for independently of other field lines, the computational cost of this
approach is a fraction of an equivalent magnetohydrodynamical treatment.
The simulations confirm many of the predictions of previous analytical and
numerical studies. Collisions between wind streams from opposing magnetic
hemispheres lead to strong shock heating. The post-shock plasma cools initially
via X-ray emission, and eventually accumulates into a warped, rigidly rotating
disk defined by the locus of minima of the effective (gravitational plus
centrifugal) potential. But a number of novel results also emerge. For field
lines extending far from the star, the rapid area divergence enhances the
radiative acceleration of the wind, resulting in high shock velocities (up to
~3,000 km/s) and hard X-rays. Moreover, the release of centrifugal potential
energy continues to heat the wind plasma after the shocks, up to temperatures
around twice those achieved at the shocks themselves. Finally, in some
circumstances the cool plasma in the accumulating disk can oscillate about its
equilibrium position, possibly due to radiative cooling instabilities in the
adjacent post-shock regions.
| astro-ph | we introduce a new rigidfield hydrodynamics approach to modeling the magnetospheres of massive stars in the limit of verystrong magnetic fields treating the field lines as effectively rigid we develop hydrodynamical equations describing the 1dimensional flow along each subject to pressure radiative gravitational and centrifugal forces we solve these equations numerically for a large ensemble of field lines to build up a 3dimensional timedependent simulation of a model star with parameters similar to the archetypal bp star sigma ori e since the flow along each field line can be solved for independently of other field lines the computational cost of this approach is a fraction of an equivalent magnetohydrodynamical treatment the simulations confirm many of the predictions of previous analytical and numerical studies collisions between wind streams from opposing magnetic hemispheres lead to strong shock heating the postshock plasma cools initially via xray emission and eventually accumulates into a warped rigidly rotating disk defined by the locus of minima of the effective gravitational plus centrifugal potential but a number of novel results also emerge for field lines extending far from the star the rapid area divergence enhances the radiative acceleration of the wind resulting in high shock velocities up to 3000 kms and hard xrays moreover the release of centrifugal potential energy continues to heat the wind plasma after the shocks up to temperatures around twice those achieved at the shocks themselves finally in some circumstances the cool plasma in the accumulating disk can oscillate about its equilibrium position possibly due to radiative cooling instabilities in the adjacent postshock regions | [['we', 'introduce', 'a', 'new', 'rigidfield', 'hydrodynamics', 'approach', 'to', 'modeling', 'the', 'magnetospheres', 'of', 'massive', 'stars', 'in', 'the', 'limit', 'of', 'verystrong', 'magnetic', 'fields', 'treating', 'the', 'field', 'lines', 'as', 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709.0695 | A Reformulation of the Hoop Conjecture | A reformulation of the Hoop Conjecture based on the concept of trapped circle
is presented. The problems of severe compactness in every spatial direction,
and of how to superpose the hoops with the surface of the black hole, are
resolved. A new conjecture concerning "peeling" properties of
dynamical/trapping horizons is propounded. A novel geometric Hoop inequality is
put forward. The possibility of carrying over the results to arbitrary
dimension is discussed.
| gr-qc | a reformulation of the hoop conjecture based on the concept of trapped circle is presented the problems of severe compactness in every spatial direction and of how to superpose the hoops with the surface of the black hole are resolved a new conjecture concerning peeling properties of dynamicaltrapping horizons is propounded a novel geometric hoop inequality is put forward the possibility of carrying over the results to arbitrary dimension is discussed | [['a', 'reformulation', 'of', 'the', 'hoop', 'conjecture', 'based', 'on', 'the', 'concept', 'of', 'trapped', 'circle', 'is', 'presented', 'the', 'problems', 'of', 'severe', 'compactness', 'in', 'every', 'spatial', 'direction', 'and', 'of', 'how', 'to', 'superpose', 'the', 'hoops', 'with', 'the', 'surface', 'of', 'the', 'black', 'hole', 'are', 'resolved', 'a', 'new', 'conjecture', 'concerning', 'peeling', 'properties', 'of', 'dynamicaltrapping', 'horizons', 'is', 'propounded', 'a', 'novel', 'geometric', 'hoop', 'inequality', 'is', 'put', 'forward', 'the', 'possibility', 'of', 'carrying', 'over', 'the', 'results', 'to', 'arbitrary', 'dimension', 'is', 'discussed']] | [-0.18197640243119428, 0.10360045820873763, -0.14758173299155064, 0.0560076916656856, -0.104143862951813, -0.14764034251150276, 0.008660114277154208, 0.2858108404491629, -0.24700421432831457, -0.24116131564868348, 0.1282413854180569, -0.23797176507567722, -0.11588423959245639, 0.22898944150407, -0.14151850112747136, 0.05349415139311792, 0.028917588612862994, 0.010583999872739827, -0.09432294499461673, -0.25408529035214866, 0.3594840214720794, 0.065103779733181, 0.26580977865627836, 0.13431640028055492, 0.1433929678318756, 0.037729263851153, -0.008739090777401414, 0.06308717251356159, -0.16971629211413009, 0.19455330068511623, 0.15250816295987793, 0.13657944007676892, 0.26286690402776003, -0.41280166581730426, -0.20544622164618756, 0.04598860007577709, 0.09515051702702684, 0.10460586624353059, -0.07979016798448615, -0.2821297717413732, 0.0952457710435348, -0.10817789641608085, -0.23087823653061476, -0.016619096844390568, 0.048559962116580986, -0.011313038479004587, -0.18677889161543654, 0.08283028263997819, 0.11731009563165051, 0.008495472318359783, -0.08496043335513345, -0.039408726191946436, -0.029080092294939925, 0.07567359653933506, 0.0909405146991568, 0.04552480964256184, 0.09932584398609054, -0.07187431993495141, -0.15723694379308395, 0.34423310653572636, 0.011890024766658566, -0.23628301500741924, 0.14279082338076218, -0.16718634982992495, -0.1382268696092069, 0.09224471463821829, 0.15284698038761105, 0.16633531911564725, -0.08075802875682711, 0.09539130303393384, -0.10563623178750277, 0.12396930726245045, 0.13234005315628436, 0.014512902085802385, 0.25386068472372636, 0.15670678596943616, 0.113597781916282, 0.1836520825047046, -0.10742892362509987, -0.07851313729105251, -0.32936311763312137, -0.19659083843497294, -0.17090687020016568, 0.06176366319081613, -0.10643152231994983, -0.17093276493251325, 0.34488552297864644, 0.0983027929839279, 0.18153866196849516, 0.030277462669515184, 0.2558883078662412, 0.08884835179362978, 0.022343961402241673, 0.042550877295434476, 0.2506479084292161, 0.21047900190044727, 0.08320211733392041, -0.19237612701420273, 0.008179154000910266, 0.14340379175929618] |
709.0696 | Resonant x-ray scattering study of NpRhGa_5 and NpCoGa_5 | We report a resonant x-ray scattering (RXS) study of antiferromagnetic
neptunium compounds NpCoGa_5 and NpRhGa_5 at the Np M_4 and Ga K-edges. Large
resonant signals of magnetic dipole character are observed below the Neel
temperatures at both edges. The signals at the Np edges confirm the behaviour
determined previously from neutron diffraction, i.e. the moments along [001] in
NpCoGa_{5} and in NpRhGa_5 a reorientation of the moments from the c-axis
direction to the ab plane. In the latter material, on application of magnetic
field of 9 Tesla along the [010] direction we observe a change in the
population of different [110]-type domains. We observe also a magnetic dipole
signal at the Ga K-edge, similarly to the reported UGa_3 case, that can be
interpreted within a semi-localized model as an orbital polarization of the Ga
4p states induced via strong hybridization with the Np 5f valence band.
Quantitative analysis of the signal shows that the Ga dipole on the two
different Ga sites follows closely the Np magnetic moment reorientation in
NpRhGa_5. The ratios of the signals on the two inequivalent Ga sites are not
the same for the different compounds.
| cond-mat.str-el | we report a resonant xray scattering rxs study of antiferromagnetic neptunium compounds npcoga_5 and nprhga_5 at the np m_4 and ga kedges large resonant signals of magnetic dipole character are observed below the neel temperatures at both edges the signals at the np edges confirm the behaviour determined previously from neutron diffraction ie the moments along 001 in npcoga_5 and in nprhga_5 a reorientation of the moments from the caxis direction to the ab plane in the latter material on application of magnetic field of 9 tesla along the 010 direction we observe a change in the population of different 110type domains we observe also a magnetic dipole signal at the ga kedge similarly to the reported uga_3 case that can be interpreted within a semilocalized model as an orbital polarization of the ga 4p states induced via strong hybridization with the np 5f valence band quantitative analysis of the signal shows that the ga dipole on the two different ga sites follows closely the np magnetic moment reorientation in nprhga_5 the ratios of the signals on the two inequivalent ga sites are not the same for the different compounds | [['we', 'report', 'a', 'resonant', 'xray', 'scattering', 'rxs', 'study', 'of', 'antiferromagnetic', 'neptunium', 'compounds', 'npcoga_5', 'and', 'nprhga_5', 'at', 'the', 'np', 'm_4', 'and', 'ga', 'kedges', 'large', 'resonant', 'signals', 'of', 'magnetic', 'dipole', 'character', 'are', 'observed', 'below', 'the', 'neel', 'temperatures', 'at', 'both', 'edges', 'the', 'signals', 'at', 'the', 'np', 'edges', 'confirm', 'the', 'behaviour', 'determined', 'previously', 'from', 'neutron', 'diffraction', 'ie', 'the', 'moments', 'along', '001', 'in', 'npcoga_5', 'and', 'in', 'nprhga_5', 'a', 'reorientation', 'of', 'the', 'moments', 'from', 'the', 'caxis', 'direction', 'to', 'the', 'ab', 'plane', 'in', 'the', 'latter', 'material', 'on', 'application', 'of', 'magnetic', 'field', 'of', '9', 'tesla', 'along', 'the', '010', 'direction', 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0.08865655879071228, -0.006580743891871953] |
709.0697 | A Note on Gravitational Baryogenesis | The coupling between Ricci scalar curvature and the baryon number current
dynamically breaks CPT in an expanding universe and leads to baryon asymmetry.
We study the effect of time dependence of equation of state parameter of the
FRW universe on this asymmetry.
| gr-qc hep-th | the coupling between ricci scalar curvature and the baryon number current dynamically breaks cpt in an expanding universe and leads to baryon asymmetry we study the effect of time dependence of equation of state parameter of the frw universe on this asymmetry | [['the', 'coupling', 'between', 'ricci', 'scalar', 'curvature', 'and', 'the', 'baryon', 'number', 'current', 'dynamically', 'breaks', 'cpt', 'in', 'an', 'expanding', 'universe', 'and', 'leads', 'to', 'baryon', 'asymmetry', 'we', 'study', 'the', 'effect', 'of', 'time', 'dependence', 'of', 'equation', 'of', 'state', 'parameter', 'of', 'the', 'frw', 'universe', 'on', 'this', 'asymmetry']] | [-0.21748235633241988, 0.21465967162380584, -0.11561146839743569, 0.0663724294946795, -0.15263593560528188, -0.05248922384565785, 0.01921606326885965, 0.2529298479979237, -0.22934053607639812, -0.2964756942376317, -0.019518127113336788, -0.2713872037295784, 0.015269796319660685, 0.059216831189890705, 0.07044180553583872, -0.04569526796140486, -0.08455497237099778, 0.05006531005104383, 0.011536852988813604, -0.25159041517015013, 0.40888226369307157, 0.059943549742456526, 0.3021874807863718, 0.10163881461180392, 0.10414053324521297, -0.1017331629326301, -0.02499245377700953, 0.032852782690454094, -0.16676984357071065, -0.016324055625037068, 0.10333253775856324, 0.10910727189011163, 0.20887403509446553, -0.43382365930648076, -0.20484753600543454, 0.2463002316875472, 0.1687338865317759, 0.2143540773918392, -0.10168858026875005, -0.3191965374918211, -0.017605793706717946, -0.1367230573225589, -0.16898315825216872, -0.07458297176552671, 0.028307022925998484, -0.07387888126097442, -0.24597339673588672, 0.26206076045387555, -0.043460835342384166, -0.0261163496678429, -0.08155197756631034, -0.0430496766098908, -0.0793013031638804, 0.008506287998032002, 0.15372207423760778, 0.027963511573727288, 0.13973158013652123, -0.1505543381097682, -0.048958688300834705, 0.3584645972808912, -0.1801287350688307, -0.15813187323510647, 0.01580909648466678, -0.19755880100031695, -0.09702828140663249, 0.05135111563972065, 0.16705075021655785, 0.08044446543568656, -0.12095003733078816, 0.17000425950391218, 0.0482655178001594, 0.1644575009122491, 0.07880171729872625, 0.05550811772367784, 0.24013727406660715, 0.1715611131872893, 0.06783444500927414, 0.10218242517051597, -0.020458368512447037, -0.11431441314163662, -0.4129957565594287, -0.16206074443956217, -0.15059516676479862, 0.0949421865599496, -0.19984258030516294, -0.1428771050247763, 0.4718872619171937, 0.10873170791282541, 0.23708163374768837, 0.009588311042794626, 0.29006765423608677, 0.05314769870823338, -0.001683398105558895, 0.09561979668658405, 0.28169084313724724, 0.2258738653562475, 0.1976234742684201, -0.37763438662070603, -0.02101245178727411, 0.02969390350127859] |
709.0698 | Probing two-fluid hydrodynamics in a trapped Fermi superfluid at
unitarity | We develop a variational approach to calculate the density response function
at finite temperatures of the lowest-lying two-fluid modes in a trapped
two-component Fermi superfluid close to a Feshbach resonance. The out-of-phase
oscillations, which are the analogue in trapped gases of second sound in
uniform superfluids, have so far not been observed in cold-atom experiments. At
unitarity, we show that these modes are observable at finite temperatures via
two-photon Bragg scattering, whose spectrum is related to the imaginary part of
density response function. This provides direct evidence for superfluidity and
a promising way to test microscopic results for thermodynamics at unitarity.
| cond-mat.other | we develop a variational approach to calculate the density response function at finite temperatures of the lowestlying twofluid modes in a trapped twocomponent fermi superfluid close to a feshbach resonance the outofphase oscillations which are the analogue in trapped gases of second sound in uniform superfluids have so far not been observed in coldatom experiments at unitarity we show that these modes are observable at finite temperatures via twophoton bragg scattering whose spectrum is related to the imaginary part of density response function this provides direct evidence for superfluidity and a promising way to test microscopic results for thermodynamics at unitarity | [['we', 'develop', 'a', 'variational', 'approach', 'to', 'calculate', 'the', 'density', 'response', 'function', 'at', 'finite', 'temperatures', 'of', 'the', 'lowestlying', 'twofluid', 'modes', 'in', 'a', 'trapped', 'twocomponent', 'fermi', 'superfluid', 'close', 'to', 'a', 'feshbach', 'resonance', 'the', 'outofphase', 'oscillations', 'which', 'are', 'the', 'analogue', 'in', 'trapped', 'gases', 'of', 'second', 'sound', 'in', 'uniform', 'superfluids', 'have', 'so', 'far', 'not', 'been', 'observed', 'in', 'coldatom', 'experiments', 'at', 'unitarity', 'we', 'show', 'that', 'these', 'modes', 'are', 'observable', 'at', 'finite', 'temperatures', 'via', 'twophoton', 'bragg', 'scattering', 'whose', 'spectrum', 'is', 'related', 'to', 'the', 'imaginary', 'part', 'of', 'density', 'response', 'function', 'this', 'provides', 'direct', 'evidence', 'for', 'superfluidity', 'and', 'a', 'promising', 'way', 'to', 'test', 'microscopic', 'results', 'for', 'thermodynamics', 'at', 'unitarity']] | [-0.12631337784488897, 0.24888673585627485, -0.12099415552571859, 0.06371579365516634, -0.052046135658084754, -0.13435145004624777, 0.056512938868853786, 0.3514830261413561, -0.21921451876659204, -0.22084657814916187, -0.004274852255746575, -0.3160737401040474, -0.07537860092292033, 0.16093982443545418, 0.07874595530395682, 0.10504476951047925, -0.006404688328246374, 0.03455330546378241, -0.07651667617316736, -0.1711991440947398, 0.29603316609305097, 0.04747509992782875, 0.3051807996816933, 0.13061110505668244, 0.048438815582119446, -0.028904162066075767, 0.09725163431635292, -0.029036386906731836, -0.1648304345619163, 0.04024454772513876, 0.3105939565558392, -0.02165505998435956, 0.2187601832285671, -0.4486705628546453, -0.22742374717617536, 0.07082748066375752, 0.1859708727420409, 0.17882607962203093, -0.05049730818557304, -0.2830431792921949, -0.012252104496306713, -0.1647544928393004, -0.20265444199379423, -0.15590052981169358, 0.005022794211117348, -0.032869485926141244, -0.24667266914206049, 0.1291419771467658, 0.009933276097336323, 0.0922086238215613, -0.0874545585161241, -0.07172791338018557, 0.019487589317613678, 0.0059209657408813435, -0.0028562310018051085, -0.0057559936620885195, 0.12827650892852557, -0.11018627342574372, -0.06189751297253931, 0.36740804246008985, -0.13889154127918849, -0.14187164169431912, 0.21800688694987336, -0.2205509274165229, -0.10267535396989914, 0.17562978929554177, 0.15141009236916458, 0.08680284919567627, -0.12634535769166627, 0.027714496634619327, -0.06901945796389465, 0.12188789075111399, 0.09279368553854672, 0.0531575753270547, 0.31694410228640724, 0.15595759536237064, 0.022023319808471175, 0.1338759077099696, -0.10966712242398079, -0.06994850116569808, -0.32702922190327455, -0.12229325694244096, -0.2320824464423453, -0.013956183643572467, 0.031485435300902004, -0.16974278967735348, 0.36794506641344565, 0.1404354197507964, 0.19221193514911844, 0.016206447601014067, 0.32602063359895556, 0.18052519367440686, 0.07449012924686517, 0.05186691396122817, 0.31042935079572226, 0.17788114619561204, 0.06712097835053901, -0.29667158796490023, -0.020414015914470254, 0.05772264950475333] |
709.0699 | Optical-approximation analysis of sidewall-spacing effects on the force
between two squares with parallel sidewalls | Using the ray-optics approximation, we analyze the Casimir force in a two
dimensional domain formed by two metallic blocks adjacent to parallel metallic
sidewalls, which are separated from the blocks by a finite distance h. For h >
0, the ray-optics approach is not exact because diffraction effects are
neglected. Nevertheless, we show that ray optics is able to qualitatively
reproduce a surprising effect recently identified in an exact numerical
calculation: the force between the blocks varies non-monotonically with h. In
this sense, the ray-optics approach captures an essential part of the physics
of multi-body interactions in this system, unlike simpler pairwise-interaction
approximations such as PFA. Furthermore, by comparison to the exact numerical
results, we are able to quantify the impact of diffraction on Casimir forces in
this geometry.
| quant-ph | using the rayoptics approximation we analyze the casimir force in a two dimensional domain formed by two metallic blocks adjacent to parallel metallic sidewalls which are separated from the blocks by a finite distance h for h 0 the rayoptics approach is not exact because diffraction effects are neglected nevertheless we show that ray optics is able to qualitatively reproduce a surprising effect recently identified in an exact numerical calculation the force between the blocks varies nonmonotonically with h in this sense the rayoptics approach captures an essential part of the physics of multibody interactions in this system unlike simpler pairwiseinteraction approximations such as pfa furthermore by comparison to the exact numerical results we are able to quantify the impact of diffraction on casimir forces in this geometry | [['using', 'the', 'rayoptics', 'approximation', 'we', 'analyze', 'the', 'casimir', 'force', 'in', 'a', 'two', 'dimensional', 'domain', 'formed', 'by', 'two', 'metallic', 'blocks', 'adjacent', 'to', 'parallel', 'metallic', 'sidewalls', 'which', 'are', 'separated', 'from', 'the', 'blocks', 'by', 'a', 'finite', 'distance', 'h', 'for', 'h', '0', 'the', 'rayoptics', 'approach', 'is', 'not', 'exact', 'because', 'diffraction', 'effects', 'are', 'neglected', 'nevertheless', 'we', 'show', 'that', 'ray', 'optics', 'is', 'able', 'to', 'qualitatively', 'reproduce', 'a', 'surprising', 'effect', 'recently', 'identified', 'in', 'an', 'exact', 'numerical', 'calculation', 'the', 'force', 'between', 'the', 'blocks', 'varies', 'nonmonotonically', 'with', 'h', 'in', 'this', 'sense', 'the', 'rayoptics', 'approach', 'captures', 'an', 'essential', 'part', 'of', 'the', 'physics', 'of', 'multibody', 'interactions', 'in', 'this', 'system', 'unlike', 'simpler', 'pairwiseinteraction', 'approximations', 'such', 'as', 'pfa', 'furthermore', 'by', 'comparison', 'to', 'the', 'exact', 'numerical', 'results', 'we', 'are', 'able', 'to', 'quantify', 'the', 'impact', 'of', 'diffraction', 'on', 'casimir', 'forces', 'in', 'this', 'geometry']] | [-0.12206945925572654, 0.11742616394826655, -0.09821099187547588, 0.07408227390169486, -0.04016940287328907, -0.11360557205262012, 0.0036420734832063317, 0.39612226738245226, -0.27061683225474553, -0.2817185179592343, 0.016306754295328574, -0.2946056900982512, -0.18114898023833348, 0.1976199858399923, -0.024741211182117695, 0.026226652331047262, 0.042015129101855564, 0.008809575991108431, -0.07155514473470248, -0.20028929311956745, 0.2857950791512849, 0.03136165277828695, 0.2614804491204268, 0.07827800101222238, 0.05197316922203754, 0.00875852176659464, 0.00023186304679256864, 0.07086003307631472, -0.16270977549567078, 0.07814010602305643, 0.23479966608829272, -0.009857507237029495, 0.22677911490609404, -0.46744094772293465, -0.19021634948967403, 0.03828223193750091, 0.15856649062698125, 0.1153752844356859, -0.03282039006626292, -0.251886021484097, 0.04752344932512642, -0.14363996231622878, -0.1289011345070321, -0.06139016129236552, 0.00841207844496239, 0.005212879151713423, -0.24161716291928315, 0.06554407495286796, 0.07062002607472095, 0.027149521658429876, -0.05187141367150616, -0.09464804437720886, 0.02179022210475523, 0.12373971274791984, 0.052048186040337896, 0.010401079187431606, 0.11566630723245908, -0.08781792363407703, -0.09042415548628924, 0.3798529217019677, -0.058157984994977596, -0.21292050909323734, 0.22376621514558792, -0.14589593835353298, -0.07279244680103147, 0.13779696843994316, 0.1297201833103827, 0.1104854639415862, -0.15389773969582166, 0.11132752746925689, -0.029595723452075617, 0.15678662119898945, 0.08891906715507503, -0.004378119181637885, 0.16702745459770085, 0.13420507763657952, 0.03442065465787891, 0.1380956746306765, -0.07378753717057407, -0.10032721091556596, -0.3159059909376083, -0.1287780425436722, -0.2215211619877664, 0.020111658706923663, -0.06523656028366531, -0.18304882814118173, 0.31301654389244504, 0.16048827525582965, 0.1843950796619538, 0.009449170350308123, 0.3223465486371424, 0.08139801571178396, 0.09154564971322543, 0.04470163778387359, 0.2930621432933549, 0.15196765697146475, 0.06231338339057402, -0.2506361611212924, 0.04811103317842935, 0.09574353613061248] |
709.07 | Abundance of elliptic dynamics on conservative 3-flows | We consider a compact 3-dimensional boundaryless Riemannian manifold M and
the set of divergence-free (or zero divergence) vector fields without
singularities, then we prove that this set has a C1-residual such that any
vector field inside it is Anosov or else its elliptical orbits are dense in the
manifold M.
| math.DS | we consider a compact 3dimensional boundaryless riemannian manifold m and the set of divergencefree or zero divergence vector fields without singularities then we prove that this set has a c1residual such that any vector field inside it is anosov or else its elliptical orbits are dense in the manifold m | [['we', 'consider', 'a', 'compact', '3dimensional', 'boundaryless', 'riemannian', 'manifold', 'm', 'and', 'the', 'set', 'of', 'divergencefree', 'or', 'zero', 'divergence', 'vector', 'fields', 'without', 'singularities', 'then', 'we', 'prove', 'that', 'this', 'set', 'has', 'a', 'c1residual', 'such', 'that', 'any', 'vector', 'field', 'inside', 'it', 'is', 'anosov', 'or', 'else', 'its', 'elliptical', 'orbits', 'are', 'dense', 'in', 'the', 'manifold', 'm']] | [-0.24451150638982655, 0.1310478330589831, -0.08942202758044004, 0.05765783319249749, -0.16161581233143807, -0.13425388881005346, -0.03858928077854216, 0.40232687756419183, -0.23429800037294626, -0.17026364272460343, 0.13917924028122797, -0.2775792002119124, -0.14115507983602582, 0.126311267754063, -0.10017872407101094, 0.0143178084527608, 0.09841043250635266, 0.16512228190200404, -0.10668909699656069, -0.24434366629458965, 0.49449952960014343, -0.11810204112902284, 0.1662397561734542, -0.013495321460068226, 0.19270786455832423, -0.016374205136671663, 0.06393665032461286, 0.07057001937180757, -0.10658522135723615, 0.06601369425654412, 0.1903644274920225, 0.14327187986578793, 0.2345837141480297, -0.3923644005507231, -0.2630604899954051, 0.2250146473478526, 0.12491639758460224, 0.018177689500153065, -0.050603400566615164, -0.2936676642484963, 0.1833187121571973, -0.09315470041707158, -0.2059665342979133, -0.0969644207181409, 0.05668189779156819, -0.026103960499167442, -0.24956930931657553, 0.000596103947609663, 0.18269391236128285, 0.10578192748129368, -0.0796606684406288, -0.07276379521936178, -0.08090351012535393, 0.06176859325729311, -0.017920493425335735, 0.18291672555729746, 0.14415619099512697, -0.06444372768048197, -0.049013710604049264, 0.35634455842897295, -0.12146651159971952, -0.3491380349546671, 0.17900756262242795, -0.1961638097651303, -0.08915638898033648, 0.1305576678365469, 0.1795331791229546, 0.1579354740679264, -0.06874449625611305, 0.21862493656459264, -0.10882992461323739, 0.05234964640811086, 0.06450875061564147, -0.054278412871062755, 0.19103831836953758, 0.06294533981010318, 0.17706051010638477, 0.05021691344678402, -0.06774771462194622, 0.0017952248826622963, -0.32174843285232785, -0.21998757496476173, -0.1815974365361035, 0.20388482701033353, -0.09686361156374915, -0.22414942920207978, 0.30475194964557883, -0.007846011631190777, 0.2262293930305168, 0.05102817591279745, 0.29745609559118746, 0.03906410384050105, 0.03924945077858865, 0.21872854835353792, 0.17313999822828918, 0.17836606610566377, -0.007466445043683052, -0.0976024716719985, -0.10326749376952649, 0.09722900008782745] |
709.0701 | Statistical mechanics of non-hamiltonian systems: Traffic flow | Statistical mechanics of a small system of cars on a single-lane road is
developed. The system is not characterized by a Hamiltonian but by a
conditional probability of a velocity of a car for the given velocity and
distance of the car ahead. Distribution of car velocities for various densities
of a group of cars are derived as well as probabilities of density fluctuations
of the group for different velocities. For high braking abilities of cars
free-flow and congested phases are found. Platoons of cars are formed for
system of cars with inefficient brakes. A first order phase transition between
free-flow and congested phase is suggested.
| physics.soc-ph | statistical mechanics of a small system of cars on a singlelane road is developed the system is not characterized by a hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car ahead distribution of car velocities for various densities of a group of cars are derived as well as probabilities of density fluctuations of the group for different velocities for high braking abilities of cars freeflow and congested phases are found platoons of cars are formed for system of cars with inefficient brakes a first order phase transition between freeflow and congested phase is suggested | [['statistical', 'mechanics', 'of', 'a', 'small', 'system', 'of', 'cars', 'on', 'a', 'singlelane', 'road', 'is', 'developed', 'the', 'system', 'is', 'not', 'characterized', 'by', 'a', 'hamiltonian', 'but', 'by', 'a', 'conditional', 'probability', 'of', 'a', 'velocity', 'of', 'a', 'car', 'for', 'the', 'given', 'velocity', 'and', 'distance', 'of', 'the', 'car', 'ahead', 'distribution', 'of', 'car', 'velocities', 'for', 'various', 'densities', 'of', 'a', 'group', 'of', 'cars', 'are', 'derived', 'as', 'well', 'as', 'probabilities', 'of', 'density', 'fluctuations', 'of', 'the', 'group', 'for', 'different', 'velocities', 'for', 'high', 'braking', 'abilities', 'of', 'cars', 'freeflow', 'and', 'congested', 'phases', 'are', 'found', 'platoons', 'of', 'cars', 'are', 'formed', 'for', 'system', 'of', 'cars', 'with', 'inefficient', 'brakes', 'a', 'first', 'order', 'phase', 'transition', 'between', 'freeflow', 'and', 'congested', 'phase', 'is', 'suggested']] | [-0.18402295346802347, 0.20275320619002055, -0.10751131399235916, 0.015971505055687268, -0.013325504721405933, -0.13335508871647828, 0.09535316066192638, 0.3713951802654368, -0.22769147447609114, -0.3074343497293808, 0.09732173249632876, -0.2710282538648484, -0.09405015606679162, 0.21055920362112307, -0.09114717632391543, 0.08690849058154337, 0.06709865776971334, 0.08297981979228768, -0.017789179418578674, -0.1351933778210912, 0.3152382662871255, -0.023288000462893046, 0.2651734316352544, 0.009732916793030387, 0.13191062690830738, -0.02626948151078497, 0.017032302349348955, 0.07241255053723196, -0.06785003117830404, 0.07847825129832721, 0.22777507766062077, 0.08476028513198472, 0.25305796654473217, -0.4046239575792877, -0.25515880831956583, 0.062272301284192165, 0.13787839051230616, 0.04586229288405826, -0.012531470157039124, -0.3465040658583056, 0.06047186687897439, -0.24387421371977566, -0.16081549723650207, -0.01739569647756036, 0.09680977203874444, 0.10144917387076004, -0.2770047461271356, 0.09298995197893402, 0.0008183145656180128, 0.09794331691008201, -0.03296471584394996, -0.06291045955896273, -0.06766390688783261, 0.20085180629888233, 0.022104811593275167, -0.020265328803292987, 0.14449656734963492, -0.19560290723687634, -0.08481246647688578, 0.46799721322813126, -0.01767450586106312, -0.10994523863817723, 0.19476430105563816, -0.12465517938739448, -0.08506928587042428, 0.15146697257021619, 0.20134934944645413, 0.11351328753462096, -0.11107977275859635, -0.07379397225537654, -0.0200982055470857, 0.10363108588312313, 0.02798024814066319, -0.028343085436818172, 0.20125073472143346, 0.18397757778260507, 0.11838466186023686, 0.08336704902632057, -0.16293404519092292, -0.11717243013323618, -0.24305238896313142, -0.1901798875879426, -0.19361599086660822, -0.023895304120570764, -0.08149988636473866, -0.14218025349678015, 0.33562802007193415, 0.13190802947929972, 0.2436984028702356, 0.05884968404622994, 0.3194185223579758, 0.14551819889270262, -0.004223063974729124, 0.10643961699020539, 0.20558289164360963, 0.08987121880142335, 0.11283572475461043, -0.19287520531072933, 0.12489615070616018, 0.05692924411730173] |
709.0702 | On two-component contact model in continuum with one independent
component | Properties of a contact process in continuum for a system of two type
particles one type of which is independent are considered. We study dynamics of
the first and second order correlation functions, their asymptotics and
dependence on parameters of the system.
| math-ph math.CA math.DS math.MP | properties of a contact process in continuum for a system of two type particles one type of which is independent are considered we study dynamics of the first and second order correlation functions their asymptotics and dependence on parameters of the system | [['properties', 'of', 'a', 'contact', 'process', 'in', 'continuum', 'for', 'a', 'system', 'of', 'two', 'type', 'particles', 'one', 'type', 'of', 'which', 'is', 'independent', 'are', 'considered', 'we', 'study', 'dynamics', 'of', 'the', 'first', 'and', 'second', 'order', 'correlation', 'functions', 'their', 'asymptotics', 'and', 'dependence', 'on', 'parameters', 'of', 'the', 'system']] | [-0.1586275009793185, 0.08401451053630028, -0.09296536999976351, 0.06001803870861165, -0.014199336015042804, -0.0861373055681941, 0.023521146271377802, 0.3328425636115883, -0.24676396087965086, -0.2743802379728073, 0.13594922742396148, -0.2992758953145572, -0.1465162756808457, 0.17732315226679757, 0.05820406501048377, 0.0459081643105795, 0.007541066068889839, 0.04313937764215682, -0.0694616377087576, -0.20913107671020997, 0.41228452013317674, -0.0027050220939729896, 0.22485972328909806, 0.02904794274252795, 0.10813543404496852, 0.01794733602686652, -0.013491602226470908, 0.022039650495918023, -0.12355009313406688, 0.10878394467623106, 0.11112309728438656, 0.04440790751427163, 0.2410118209996394, -0.37587820405938793, -0.19310201105794736, 0.08266992729511999, 0.11709979964819338, 0.072034812496332, 0.015884430532986743, -0.21777916167463576, 0.04873476402523617, -0.14938731897356256, -0.1632072907135201, -0.007024458520824001, 0.05470794486990642, 0.10580485116224736, -0.2853655592050581, 0.08095005881928262, 0.09423395096036118, 0.03281470350477667, -0.07645688999799036, -0.08377366009101804, 0.01011592197409343, 0.19408856505262, 0.03595101313840132, -0.05653732470125847, 0.10314870193334562, -0.1545151671660798, -0.10462757102296953, 0.3760175528669996, -0.08181062309969482, -0.23306107476708435, 0.21846009161145913, -0.17457218072377145, -0.16294234768221422, 0.11853356190424945, 0.21939188414918526, 0.1592232808470726, -0.20263987626614316, 0.04812326933911425, 0.01603837346746808, 0.17447793665563777, -0.004406349722384697, 0.07166553581399578, 0.16866793374841413, 0.18313584024352686, 0.024401023983955383, 0.1602548352398333, -0.06691095208017421, -0.11725376555252642, -0.35349133025322643, -0.18139029746609076, -0.19855223946450723, 0.0324121203351145, -0.08600846574838561, -0.18959442237835555, 0.43427726222823065, 0.09908316785558349, 0.21507558634593374, 0.034524395443787353, 0.21431287160764137, 0.14154063278277004, 0.017689962932352154, 0.0015239006773169553, 0.23139084973150775, 0.14782573464548304, 0.07855742102089737, -0.21516245361930314, 0.08169572960053172, 0.1037861411016257] |
709.0703 | Modules of covariants in modular invariant theory | Let the finite group $G$ act linearly on the vector space $V$ over the field
$k$ of arbitrary characteristic. If $H<G$ is a subgroup the extension of
invariant rings $k[V]^G\subset k[V]^H$ is studied using modules of covariants.
An example of our results is the following. Let $W$ be the subgroup of $G$
generated by the reflections in $G$. A classical theorem due to Serre says that
if $k[V]$ is a free $k[V]^G$-module then $G=W$. We generalize this result as
follows. If $k[V]^H$ is a free $k[V]^G$-module then $G$ is generated by $H$ and
$W$, and the invariant ring $k[V]^{H\cap W}$ is free over $k[V]^W$ and
generated as an algebra by $H$-invariants and $W$-invariants.
| math.AC | let the finite group g act linearly on the vector space v over the field k of arbitrary characteristic if hg is a subgroup the extension of invariant rings kvgsubset kvh is studied using modules of covariants an example of our results is the following let w be the subgroup of g generated by the reflections in g a classical theorem due to serre says that if kv is a free kvgmodule then gw we generalize this result as follows if kvh is a free kvgmodule then g is generated by h and w and the invariant ring kvhcap w is free over kvw and generated as an algebra by hinvariants and winvariants | [['let', 'the', 'finite', 'group', 'g', 'act', 'linearly', 'on', 'the', 'vector', 'space', 'v', 'over', 'the', 'field', 'k', 'of', 'arbitrary', 'characteristic', 'if', 'hg', 'is', 'a', 'subgroup', 'the', 'extension', 'of', 'invariant', 'rings', 'kvgsubset', 'kvh', 'is', 'studied', 'using', 'modules', 'of', 'covariants', 'an', 'example', 'of', 'our', 'results', 'is', 'the', 'following', 'let', 'w', 'be', 'the', 'subgroup', 'of', 'g', 'generated', 'by', 'the', 'reflections', 'in', 'g', 'a', 'classical', 'theorem', 'due', 'to', 'serre', 'says', 'that', 'if', 'kv', 'is', 'a', 'free', 'kvgmodule', 'then', 'gw', 'we', 'generalize', 'this', 'result', 'as', 'follows', 'if', 'kvh', 'is', 'a', 'free', 'kvgmodule', 'then', 'g', 'is', 'generated', 'by', 'h', 'and', 'w', 'and', 'the', 'invariant', 'ring', 'kvhcap', 'w', 'is', 'free', 'over', 'kvw', 'and', 'generated', 'as', 'an', 'algebra', 'by', 'hinvariants', 'and', 'winvariants']] | [-0.16534699670769074, 0.17923210538438153, -0.10218949595399134, -0.02141033484902535, -0.08076258429309337, -0.12067227460746024, -0.02650956982360767, 0.34893074114848904, -0.34703532364722844, -0.22374438255740045, 0.07510336444646053, -0.2433952712915368, -0.08433928436322792, 0.23001063641093605, -0.09757274705371274, -0.09539842205373822, 0.05679966210857504, 0.1506620563340147, -0.04735430803879894, -0.2614356084844215, 0.3473624900520385, -0.019418897770076722, 0.19525509828970106, 0.017784211195183097, 0.11829820171267062, 0.0720237970901737, -0.017113811502166024, 0.009683816460630362, -0.12799060091551714, 0.06914984938470428, 0.24854732349070277, 0.07743820256599737, 0.24722753511322243, -0.2906321666815931, -0.1659517188573273, 0.18146637924065864, 0.10140035159650955, -0.020016162169610593, -0.016202483948127174, -0.2703896740803847, 0.21167311235121242, -0.19960935908445232, -0.12177895606067535, -0.001396281342651393, 0.1334198668259846, -0.01173425998605855, -0.2899963229072389, -0.0064893933705280765, 0.10647964250581625, 0.08236803158673013, -0.0227905871778693, -0.07922634971957351, -0.09633418252095916, 0.04729176472939618, -0.02375594587568697, 0.12249561809087256, 0.10246794444701827, -0.06742685468791909, -0.12790850397652467, 0.414093320064985, -0.15670408866460528, -0.1808844035541689, 0.10452517570071929, -0.16173633738832027, -0.05174654489802616, 0.1103149875683861, 0.055196447564322536, 0.14826713442416475, -0.030881621228816273, 0.24380447170781055, -0.16374705095884498, 0.09296724725900604, 0.0737024690402118, -0.06045804485292719, 0.1207261545591996, 0.06388945028034819, 0.08602859140064374, 0.13736239382221052, 0.011913480431151887, 0.10078927479801816, -0.3737151906699748, -0.16940341091102307, -0.19038045608547624, 0.1495684225884107, -0.03622169980542264, -0.11670895516956309, 0.38664274299852885, 0.048932201602928306, 0.16255088174833102, 0.0450067178069337, 0.19608266467043944, 0.11774170957820339, 0.07011223687194623, 0.10481344883540973, 0.06112671588814444, 0.26629660563199437, -0.08581101112613068, -0.1596861977742666, -0.015349694135439422, 0.15058900748572504] |
709.0704 | White Paper on the Status and Future of Ground-based Gamma-ray Astronomy | In recent years, ground-based gamma-ray observatories have made a number of
important astrophysical discoveries which have attracted the attention of the
wider scientific community. The Division of Astrophysics of the American
Physical Society has requested the preparation of a white paper on the status
and future of ground-based gamma-ray astronomy to define the science goals of
the future observatory, to determine the performance specifications, and to
identify the areas of necessary technology development. In this contribution we
give a brief overview of the activities of the current white paper team and
invite the international community to contribute to the white paper.
| astro-ph | in recent years groundbased gammaray observatories have made a number of important astrophysical discoveries which have attracted the attention of the wider scientific community the division of astrophysics of the american physical society has requested the preparation of a white paper on the status and future of groundbased gammaray astronomy to define the science goals of the future observatory to determine the performance specifications and to identify the areas of necessary technology development in this contribution we give a brief overview of the activities of the current white paper team and invite the international community to contribute to the white paper | [['in', 'recent', 'years', 'groundbased', 'gammaray', 'observatories', 'have', 'made', 'a', 'number', 'of', 'important', 'astrophysical', 'discoveries', 'which', 'have', 'attracted', 'the', 'attention', 'of', 'the', 'wider', 'scientific', 'community', 'the', 'division', 'of', 'astrophysics', 'of', 'the', 'american', 'physical', 'society', 'has', 'requested', 'the', 'preparation', 'of', 'a', 'white', 'paper', 'on', 'the', 'status', 'and', 'future', 'of', 'groundbased', 'gammaray', 'astronomy', 'to', 'define', 'the', 'science', 'goals', 'of', 'the', 'future', 'observatory', 'to', 'determine', 'the', 'performance', 'specifications', 'and', 'to', 'identify', 'the', 'areas', 'of', 'necessary', 'technology', 'development', 'in', 'this', 'contribution', 'we', 'give', 'a', 'brief', 'overview', 'of', 'the', 'activities', 'of', 'the', 'current', 'white', 'paper', 'team', 'and', 'invite', 'the', 'international', 'community', 'to', 'contribute', 'to', 'the', 'white', 'paper']] | [-0.1021800089078854, 0.08980430309928142, -0.04710492530450373, 0.04048523179942391, -0.17806784639891127, -0.034470095119374516, 0.03471123647650169, 0.3306276557395364, -0.1969616563833955, -0.37582619422770075, 0.12221520075731275, -0.28652370817922423, -0.14345670603953375, 0.23603373251873816, -0.10211144273381421, 0.0176351162245368, 0.1354913665627194, 0.007745096591960565, -0.005668036012661339, -0.3216176034495382, 0.2853297762858617, 0.18859685521277755, 0.2731036941087482, 0.047299596398036076, 0.04949738020722819, -0.027682014178521563, -0.17355581094501632, -0.07322535886991732, -0.16604797284771217, 0.17460842473008256, 0.376166431316276, 0.24570145951768402, 0.35733632444597707, -0.4156212527304888, -0.21770517463279465, 0.09558119954504442, 0.06866857173188709, 0.013387155217708707, -0.061749817191457175, -0.32868236952488966, -0.003383830390261984, -0.24144842968054928, -0.15919816699616685, 0.023337760086097562, 0.07573527843682187, 0.06618830253655958, -0.1455005850956434, -0.0715624293644387, 0.015865398764536524, 0.06983769973820665, -0.06636603958535903, -0.15873521682806313, 0.0570699266517664, 0.1992412481530763, 0.06575826482932627, 0.0573305600313562, 0.08360982406884432, -0.19147135476618637, -0.14042414886194585, 0.4094320771965604, -0.024706410997925272, -0.02531282475683838, 0.19655923922154314, -0.19039431849199503, -0.2113486467353483, 0.055795809521459704, 0.26757731038781973, 0.056995032871566195, -0.19063489377904352, 0.07094553276483836, 0.02399747853748279, 0.12051833844697564, 0.04183826110519395, 0.09358627416336411, 0.31965357155797286, 0.24015022057228455, 0.0706646851595897, 0.09346071038381334, -0.1476455515707004, -0.06247423107431519, -0.266599588769276, -0.15942932099177695, -0.11185971367182118, 0.06041951586796653, 0.06123564500603156, -0.1434651716326428, 0.4639930950090437, 0.2210370119808629, 0.08053588547218259, -0.0355068437402404, 0.2896031192250292, -0.002558477006801911, 0.04449178413534076, -0.0012467287591483333, 0.3026729286002862, 0.1106714602043428, 0.2139075328411516, -0.1360418430649408, 0.07606241173032524, -0.033867697388228805] |
709.0705 | Search for resonant ttbar production in ppbar collisions at sqrt{s}=1.96
TeV | We report on a search for narrow-width particles decaying to a top and
antitop quark pair. The data set used in the analysis corresponds to an
integrated luminosity of 680 pb^{-1} collected with the Collider Detector at
Fermilab in Run II. We present 95% confidence level upper limits on the cross
section times branching ratio. Assuming a specific topcolor-assisted
technicolor production model, the leptophobic Z' with width
\Gamma_{Z'}=0.012M_{Z'}, we exclude the mass range M_{Z'} < 725 GeV/c^2 at the
95% confidence level.
| hep-ex | we report on a search for narrowwidth particles decaying to a top and antitop quark pair the data set used in the analysis corresponds to an integrated luminosity of 680 pb1 collected with the collider detector at fermilab in run ii we present 95 confidence level upper limits on the cross section times branching ratio assuming a specific topcolorassisted technicolor production model the leptophobic z with width gamma_z0012m_z we exclude the mass range m_z 725 gevc2 at the 95 confidence level | [['we', 'report', 'on', 'a', 'search', 'for', 'narrowwidth', 'particles', 'decaying', 'to', 'a', 'top', 'and', 'antitop', 'quark', 'pair', 'the', 'data', 'set', 'used', 'in', 'the', 'analysis', 'corresponds', 'to', 'an', 'integrated', 'luminosity', 'of', '680', 'pb1', 'collected', 'with', 'the', 'collider', 'detector', 'at', 'fermilab', 'in', 'run', 'ii', 'we', 'present', '95', 'confidence', 'level', 'upper', 'limits', 'on', 'the', 'cross', 'section', 'times', 'branching', 'ratio', 'assuming', 'a', 'specific', 'topcolorassisted', 'technicolor', 'production', 'model', 'the', 'leptophobic', 'z', 'with', 'width', 'gamma_z0012m_z', 'we', 'exclude', 'the', 'mass', 'range', 'm_z', '725', 'gevc2', 'at', 'the', '95', 'confidence', 'level']] | [-0.05667848027733271, 0.17075078279176523, -0.03088535668211989, 0.13643409283467917, -0.03576815876003821, -0.13250544230104425, 0.14934332755801732, 0.3481067053973675, -0.09017462972551585, -0.36595405425177885, 0.02157219334912952, -0.35645548672182487, 0.16517385792103595, 0.14019303499662783, 0.12634457247331737, 0.11640489654382691, 0.1269370356167201, 0.022845704082283192, -0.01162425319198519, -0.25004380055470393, 0.2081631455977913, 0.08826589022064582, 0.25931144506903364, 0.12258657244383357, 0.09990970846702112, 0.02482338999980129, -0.02143724400884821, -0.16402696570730768, -0.158008143461484, 0.06510447928012582, 0.21871640469980774, 0.0956743767746957, 0.09969068567734211, -0.27123921923339367, 0.009091093970346265, 0.15484509590896778, 0.14017685455037282, 0.015110814085346647, -0.031748626360786146, -0.37344491607509556, 0.12947873054072262, -0.23137464364990593, -0.09512338250060566, 0.0922486430295976, 0.017355698434403165, -0.15329481587104965, -0.33732634214684365, 0.11376422469038516, -0.08096900345990435, 0.09254532409795502, 0.0198640774236992, -0.23784786510514094, -0.09183078857313376, -0.10712707415805198, 0.019357850802771283, 0.06105129610732547, 0.24141128314076923, -0.14343177630798892, -0.19687906596809626, 0.3175948582822457, -0.18309522098861636, -0.1468218592897756, 0.20241215471178292, -0.2040034887555521, -0.1517378948192345, 0.1646280575892888, 0.36505815528798846, 0.048205363392480646, -0.24885665320325642, 0.15437233051561633, -0.016065488825552164, 0.2749993494217051, 0.07701577808475121, -0.0007164487615227699, 0.26433680636109785, 0.30213278329465537, 0.014393056579865515, 0.03729259754763916, -0.21562290361034683, -0.025173903175164013, -0.4743242216529325, -0.09498663881677202, 0.0038963303915807044, 0.0428345606327639, -0.058055333327320116, -0.06762077519670129, 0.35566667856182904, 0.16232793885010324, 0.36221412102459, 0.12195741636678577, 0.22340073048253545, 0.15307701279980393, 0.07919748484164302, 0.07579202017641365, 0.3201568327611312, 0.10891371732577682, 0.10657797264866531, -0.1284557525534183, -0.010127292975084856, 0.033316823584027586] |
709.0706 | Leading Order QED Electrical Conductivity from the 3PI Effective Action | In this article we study the electrical conductivity in QED using the
resummed 3PI effective action. We work to 3-loop order in the effective action.
We show that the resulting expression for the conductivity is explicitly gauge
invariant, and that the integral equations that resum the pinching and colinear
contributions are produced naturally by the formalism. All leading order terms
are included, without the need for any kind of power counting arguments.
| hep-ph | in this article we study the electrical conductivity in qed using the resummed 3pi effective action we work to 3loop order in the effective action we show that the resulting expression for the conductivity is explicitly gauge invariant and that the integral equations that resum the pinching and colinear contributions are produced naturally by the formalism all leading order terms are included without the need for any kind of power counting arguments | [['in', 'this', 'article', 'we', 'study', 'the', 'electrical', 'conductivity', 'in', 'qed', 'using', 'the', 'resummed', '3pi', 'effective', 'action', 'we', 'work', 'to', '3loop', 'order', 'in', 'the', 'effective', 'action', 'we', 'show', 'that', 'the', 'resulting', 'expression', 'for', 'the', 'conductivity', 'is', 'explicitly', 'gauge', 'invariant', 'and', 'that', 'the', 'integral', 'equations', 'that', 'resum', 'the', 'pinching', 'and', 'colinear', 'contributions', 'are', 'produced', 'naturally', 'by', 'the', 'formalism', 'all', 'leading', 'order', 'terms', 'are', 'included', 'without', 'the', 'need', 'for', 'any', 'kind', 'of', 'power', 'counting', 'arguments']] | [-0.1329485374282942, 0.15349933167453855, -0.09160529960839388, 0.07515203822145446, -0.07850427016900438, -0.02682347512745764, -0.013822883483953774, 0.3241274852674299, -0.18654246226651594, -0.26681833176472636, 0.05683342309364687, -0.3118804671103135, -0.20893354838093123, 0.16284285920361677, -0.00334712661181887, 0.04773311014287174, 0.03645605377257905, 0.04570844645301501, -0.04687970133899297, -0.2535954068266114, 0.37011817700436545, -0.015362223674957123, 0.2252035560991822, 0.11925230921608293, 0.08385770738176587, 0.02328254117067748, -0.054211985643228724, 0.057672928934658155, -0.13528537763654136, 0.13395336986124878, 0.2491527595654285, -0.01259820957461165, 0.1416348866187036, -0.41368735749791896, -0.1719307668455359, 0.07681736987756772, 0.1711602673943465, 0.12818940778055954, 0.002257897285744548, -0.2152845307201561, 0.10896771562046423, -0.228616044882478, -0.14739824873686302, -0.1997643843642436, -0.03391253099673324, -0.05751285452667313, -0.2971928020965101, 0.05598912275147288, 0.05432524323583089, 0.006804197289360066, -0.060540724748635616, -0.0840613645915356, 0.026207196765527543, 0.14825856849913382, 0.09467868630438009, 0.04882728344333979, 0.10506981285935682, -0.17202625682047154, -0.1139517629061528, 0.4034039253472454, -0.10577596836891542, -0.22550954017788172, 0.07609606713231187, -0.17476109091270095, -0.13862148566598384, 0.1485639000457013, 0.13315702565402412, 0.13651489545938805, -0.22617865472825038, 0.16171174665537869, 0.022726018098182976, 0.12067382531111231, 0.09171839350731009, 0.03605690979424657, 0.12014651878012551, 0.04258516432795053, -0.003571772779751983, 0.1498079992662598, -0.036923397306559816, -0.07683237618119973, -0.42100259119696504, -0.13425526649749978, -0.12202011868389996, 0.10298576827982389, -0.10012602714212132, -0.1252461482719001, 0.3971397485713371, 0.2045063475476733, 0.14720793902718773, 0.0772887767978116, 0.33790455686135423, 0.21034184927379507, 0.10944650615500803, 0.06459155535170187, 0.22439131537814522, 0.08852992655981022, 0.07296729600057006, -0.2985391954749098, -0.01830714898985914, 0.15027193038258702] |
709.0707 | The extremal volume ellipsoids of convex bodies, their symmetry
properties, and their determination in some special cases | A convex body K has associated with it a unique circumscribed ellipsoid CE(K)
with minimum volume, and a unique inscribed ellipsoid IE(K) with maximum
volume. We first give a unified, modern exposition of the basic theory of these
extremal ellipsoids using the semi-infinite programming approach pioneered by
Fritz John in his seminal 1948 paper. We then investigate the automorphism
groups of convex bodies and their extremal ellipsoids. We show that if the
automorphism group of a convex body K is large enough, then it is possible to
determine the extremal ellipsoids CE(K) and IE(K) exactly, using either
semi-infinite programming or nonlinear programming. As examples, we compute the
extremal ellipsoids when the convex body K is the part of a given ellipsoid
between two parallel hyperplanes, and when K is a truncated second order cone
or an ellipsoidal cylinder.
| math.MG math.FA | a convex body k has associated with it a unique circumscribed ellipsoid cek with minimum volume and a unique inscribed ellipsoid iek with maximum volume we first give a unified modern exposition of the basic theory of these extremal ellipsoids using the semiinfinite programming approach pioneered by fritz john in his seminal 1948 paper we then investigate the automorphism groups of convex bodies and their extremal ellipsoids we show that if the automorphism group of a convex body k is large enough then it is possible to determine the extremal ellipsoids cek and iek exactly using either semiinfinite programming or nonlinear programming as examples we compute the extremal ellipsoids when the convex body k is the part of a given ellipsoid between two parallel hyperplanes and when k is a truncated second order cone or an ellipsoidal cylinder | [['a', 'convex', 'body', 'k', 'has', 'associated', 'with', 'it', 'a', 'unique', 'circumscribed', 'ellipsoid', 'cek', 'with', 'minimum', 'volume', 'and', 'a', 'unique', 'inscribed', 'ellipsoid', 'iek', 'with', 'maximum', 'volume', 'we', 'first', 'give', 'a', 'unified', 'modern', 'exposition', 'of', 'the', 'basic', 'theory', 'of', 'these', 'extremal', 'ellipsoids', 'using', 'the', 'semiinfinite', 'programming', 'approach', 'pioneered', 'by', 'fritz', 'john', 'in', 'his', 'seminal', '1948', 'paper', 'we', 'then', 'investigate', 'the', 'automorphism', 'groups', 'of', 'convex', 'bodies', 'and', 'their', 'extremal', 'ellipsoids', 'we', 'show', 'that', 'if', 'the', 'automorphism', 'group', 'of', 'a', 'convex', 'body', 'k', 'is', 'large', 'enough', 'then', 'it', 'is', 'possible', 'to', 'determine', 'the', 'extremal', 'ellipsoids', 'cek', 'and', 'iek', 'exactly', 'using', 'either', 'semiinfinite', 'programming', 'or', 'nonlinear', 'programming', 'as', 'examples', 'we', 'compute', 'the', 'extremal', 'ellipsoids', 'when', 'the', 'convex', 'body', 'k', 'is', 'the', 'part', 'of', 'a', 'given', 'ellipsoid', 'between', 'two', 'parallel', 'hyperplanes', 'and', 'when', 'k', 'is', 'a', 'truncated', 'second', 'order', 'cone', 'or', 'an', 'ellipsoidal', 'cylinder']] | [-0.12243191439968844, 0.04751658285101218, -0.11240618226482817, 0.015452999539801554, -0.12797533280715562, -0.144881075831886, 0.010104332183339242, 0.33724278138538794, -0.31030224463430006, -0.24385031260064113, 0.15849613576648297, -0.3313793147360717, -0.160468547169686, 0.13601072804421943, -0.12113844086348578, 0.06845674504512463, 0.026499589695932642, 0.04666280678972818, -0.0987484128392838, -0.27191483815862, 0.3059389004711588, -0.06944360440273, 0.14438709463127822, 0.0602060433011502, 0.12504664581649486, 0.0723299957184202, 0.06879293549792383, 0.12139612617497535, -0.20332040126374087, 0.17547139742047244, 0.26542500160850474, 0.15547725232992915, 0.2692830457041661, -0.38472102060104196, -0.12182555528884025, 0.11034976901230065, 0.09926810623500901, 0.029575614061879762, -0.028347411867825016, -0.21424166163078684, 0.07751600080898599, -0.1145868417604462, -0.19032732565023436, -0.03310386744746263, 0.09594569126383631, -0.009907654419109442, -0.19734458278221806, 0.025116443833120276, 0.13651383755242694, 0.08677369552542982, -0.05873304417869751, -0.13528079694082987, 0.0032487945568720825, 0.04425163176357814, 0.036034140722367214, 0.07610806377699086, 0.11424574670314357, -0.004404025125330773, -0.10300148801500167, 0.39804895592016587, -0.018748062917544252, -0.228761892657781, 0.15005981156845455, -0.17235774637969292, -0.058987908744408436, 0.12330492412455488, 0.19519483211004865, 0.19836334196978883, -0.11131945864516361, 0.1545933273644524, -0.13178203791798349, 0.11562393430242504, 0.13213974078172358, -0.12174311279575678, 0.22794822007552654, 0.08824241564666474, 0.11050649406725838, 0.2164782675825046, -0.017780382080303938, -0.08047409416758455, -0.3122185980766148, -0.1898646930138162, -0.21905490427541183, 0.04608984161978182, -0.13513922415955493, -0.1980810538932902, 0.33479540102669725, -0.015835950964305928, 0.17623014279735694, 0.09515860739528485, 0.2639718446408169, 0.0548841669823151, 0.023686284683577283, 0.1448295727233821, 0.2109955475139229, 0.17827820496640398, -0.011272008851359504, -0.16886586499036849, -0.004369994692936324, 0.12954388774148579] |
709.0708 | Pion Production in Neutrino-Nucleon Reactions | We construct a model for the weak pion production off the nucleon, which in
addition to the weak excitation of the $\Delta(1232)$ resonance and its
subsequent decay into $N\pi$, it includes also some background terms required
by chiral symmetry. We re-fit the $C_5^A(q^2)$ form factor to the flux averaged
$\nu_\mu p \to \mu^-p\pi^+$ ANL $q^2-$differential cross section data, finding
a substantially smaller contribution of the $\Delta$ pole mechanism than
traditionally assumed in the literature. We also show that the interference
between the Delta pole and the background terms produces parity-violating
contributions to the pion angular differential cross section.
| nucl-th | we construct a model for the weak pion production off the nucleon which in addition to the weak excitation of the delta1232 resonance and its subsequent decay into npi it includes also some background terms required by chiral symmetry we refit the c_5aq2 form factor to the flux averaged nu_mu p to muppi anl q2differential cross section data finding a substantially smaller contribution of the delta pole mechanism than traditionally assumed in the literature we also show that the interference between the delta pole and the background terms produces parityviolating contributions to the pion angular differential cross section | [['we', 'construct', 'a', 'model', 'for', 'the', 'weak', 'pion', 'production', 'off', 'the', 'nucleon', 'which', 'in', 'addition', 'to', 'the', 'weak', 'excitation', 'of', 'the', 'delta1232', 'resonance', 'and', 'its', 'subsequent', 'decay', 'into', 'npi', 'it', 'includes', 'also', 'some', 'background', 'terms', 'required', 'by', 'chiral', 'symmetry', 'we', 'refit', 'the', 'c_5aq2', 'form', 'factor', 'to', 'the', 'flux', 'averaged', 'nu_mu', 'p', 'to', 'muppi', 'anl', 'q2differential', 'cross', 'section', 'data', 'finding', 'a', 'substantially', 'smaller', 'contribution', 'of', 'the', 'delta', 'pole', 'mechanism', 'than', 'traditionally', 'assumed', 'in', 'the', 'literature', 'we', 'also', 'show', 'that', 'the', 'interference', 'between', 'the', 'delta', 'pole', 'and', 'the', 'background', 'terms', 'produces', 'parityviolating', 'contributions', 'to', 'the', 'pion', 'angular', 'differential', 'cross', 'section']] | [-0.1040174060035497, 0.1415068149547448, -0.07006637175020176, 0.14835348786766997, -0.07165914169781525, -0.04803387313773952, 0.057138256440611226, 0.3020744271403582, -0.21810389492545545, -0.268254218128577, -0.06802903994385, -0.3376565372868988, -0.06081058395085568, 0.13294673212995925, 0.0878907644871584, 0.04672370652233721, 0.044596824386954004, 0.06336101703825839, -0.038369389394893476, -0.19366437276902118, 0.33937046873700066, 0.08209536075784066, 0.23902869736535726, 0.14668859174167834, 0.06555027384966547, 0.03684121255580451, -0.06378379242540308, -0.0679011311593283, -0.15481589458315434, 0.07090557437658924, 0.20112705427058733, 0.04970277330271669, 0.08733387084164147, -0.37774565650783865, -0.11233908090543616, 0.12965170786591226, 0.16355726013401733, 0.12464447573341007, 0.0072887587005790976, -0.2882310021284622, 0.06830635837749723, -0.19851363795934265, -0.1352818955561703, -0.07302995126444808, 0.016086135477250078, -0.05524348678816225, -0.33023316397802116, 0.08434831822883894, 0.031052182870196926, -0.019188129259081383, -0.048271340784885604, -0.22708418341257522, -0.038998794379480874, 0.05406275834196929, 0.12524016883065828, 0.09354903525912885, 0.15069511385044063, -0.1588719489662572, -0.06400572540257703, 0.3715689775831613, -0.09371276906305641, -0.2012238059740168, 0.05703750694381822, -0.21312961250678011, -0.10398409228181447, 0.22308057944107915, 0.17381551742707332, 0.047198658166081195, -0.20281385609246405, 0.06868930159919157, 0.0019563688541349676, 0.18925152042731835, 0.12045263362683586, 0.02827455758203551, 0.13404738070616096, 0.12363498342060245, 0.03187604617212236, 0.06175171712307816, -0.14317652438143172, -0.0860259225111954, -0.3883945177664462, -0.06691740032707907, -0.033835425492875354, 0.07071642235363114, -0.04195535446477564, -0.11395430457346219, 0.3518386153173009, 0.0782547351452954, 0.26238068466833264, 0.011804701257545078, 0.3538377514857914, 0.14154809512877262, 0.09852057327420365, 0.040432455767061296, 0.30591179559771786, 0.17810178616506614, 0.12788103200188003, -0.27645571852467726, 0.014396051136949627, 0.03253605594071224] |
709.0709 | One-dimensional resistive states in quasi-two-dimensional
superconductors | We investigate competition between one- and two-dimensional topological
excitations - phase slips and vortices - in formation of resistive states in
quasi-two-dimensional superconductors in a wide temperature range below the
mean-field transition temperature $T_{C0}$. The widths $w$ = 100 nm of our
ultrathin NbN samples is substantially larger than the Ginzburg-Landau
coherence length $\xi$ = 4nm and the fluctuation resistivity above $T_{C0}$ has
a two-dimensional character. However, our data shows that the resistivity below
$T_{C0}$ is produced by one-dimensional excitations, - thermally activated
phase slip strips (PSSs) overlapping the sample cross-section. We also
determine the scaling phase diagram, which shows that even in wider samples the
PSS contribution dominates over vortices in a substantial region of
current/temperature variations. Measuring the resistivity within seven orders
of magnitude, we find that the quantum phase slips can only be essential below
this level.
| cond-mat.supr-con cond-mat.dis-nn | we investigate competition between one and twodimensional topological excitations phase slips and vortices in formation of resistive states in quasitwodimensional superconductors in a wide temperature range below the meanfield transition temperature t_c0 the widths w 100 nm of our ultrathin nbn samples is substantially larger than the ginzburglandau coherence length xi 4nm and the fluctuation resistivity above t_c0 has a twodimensional character however our data shows that the resistivity below t_c0 is produced by onedimensional excitations thermally activated phase slip strips psss overlapping the sample crosssection we also determine the scaling phase diagram which shows that even in wider samples the pss contribution dominates over vortices in a substantial region of currenttemperature variations measuring the resistivity within seven orders of magnitude we find that the quantum phase slips can only be essential below this level | [['we', 'investigate', 'competition', 'between', 'one', 'and', 'twodimensional', 'topological', 'excitations', 'phase', 'slips', 'and', 'vortices', 'in', 'formation', 'of', 'resistive', 'states', 'in', 'quasitwodimensional', 'superconductors', 'in', 'a', 'wide', 'temperature', 'range', 'below', 'the', 'meanfield', 'transition', 'temperature', 't_c0', 'the', 'widths', 'w', '100', 'nm', 'of', 'our', 'ultrathin', 'nbn', 'samples', 'is', 'substantially', 'larger', 'than', 'the', 'ginzburglandau', 'coherence', 'length', 'xi', '4nm', 'and', 'the', 'fluctuation', 'resistivity', 'above', 't_c0', 'has', 'a', 'twodimensional', 'character', 'however', 'our', 'data', 'shows', 'that', 'the', 'resistivity', 'below', 't_c0', 'is', 'produced', 'by', 'onedimensional', 'excitations', 'thermally', 'activated', 'phase', 'slip', 'strips', 'psss', 'overlapping', 'the', 'sample', 'crosssection', 'we', 'also', 'determine', 'the', 'scaling', 'phase', 'diagram', 'which', 'shows', 'that', 'even', 'in', 'wider', 'samples', 'the', 'pss', 'contribution', 'dominates', 'over', 'vortices', 'in', 'a', 'substantial', 'region', 'of', 'currenttemperature', 'variations', 'measuring', 'the', 'resistivity', 'within', 'seven', 'orders', 'of', 'magnitude', 'we', 'find', 'that', 'the', 'quantum', 'phase', 'slips', 'can', 'only', 'be', 'essential', 'below', 'this', 'level']] | [-0.19742630674607223, 0.2854137754723154, -0.032829726487398146, 0.03085751186935576, 0.012173240885345472, -0.1272083581045822, 0.11025798794537507, 0.33833766412679794, -0.238841654236118, -0.27608367329187417, 0.01911147650141545, -0.3363248202639321, -0.05568354936937491, 0.20456125285062526, 0.04467677404323627, 0.003611815803580814, -0.03864155522444182, -0.03737166424764803, -0.11263598180893394, -0.20325255996927066, 0.2632212752683295, -0.007737717498956179, 0.35643060773059176, 0.08227357135188801, -0.0064970511003155955, -0.04902540273593601, 0.12452343774752485, 0.05549537453248545, -0.21850608522325746, -0.0446900451853354, 0.27904882353506294, -0.13565233738196117, 0.16975486555171235, -0.37418994996669763, -0.25458580613463977, 0.06113326633866462, 0.19182697678398755, 0.11711645820781727, -0.006906203071034893, -0.2685440688773438, 0.08286485450204324, -0.13054453650558437, -0.09210959161045375, -0.05308644975604558, 0.03740653116600933, -0.02658302342536411, -0.20573856506358695, 0.14995234033105792, 0.07910073604132911, 0.10574421082209381, -0.06473240874949153, -0.12430103306693059, -0.06666378530639189, 0.023537255827061555, 0.021562100895163087, 0.053258891346976506, 0.18576136658796005, -0.142592468669776, -0.054410467433087806, 0.3062422399616076, -0.06721715381233177, -0.03210604424001994, 0.14948449050662693, -0.2237446875009617, -0.031065250126024086, 0.26042704073781214, 0.09684569720885958, 0.09107301360841288, -0.10956302585977096, 0.042207360195634126, -0.008795688382384401, 0.2666692517549058, 0.048422135236776534, 0.05678780307924306, 0.23451853228939903, 0.2563496239552343, 0.021502104132539696, 0.16886898812027304, -0.17459962847470134, -0.10002532262286103, -0.27674529552459715, -0.14660216311199797, -0.18668360435748818, 0.0399241208176439, -0.09890414337353798, -0.17764386917567915, 0.38289366096810057, 0.18162779537615953, 0.21081620784286687, 0.0008273717507513033, 0.23460940037750536, 0.11082732135352368, 0.10275205257348716, 0.06116526382802813, 0.2576769367929686, 0.1726555336189146, 0.12601562857507143, -0.2603444059569113, 0.0632406242467739, 0.011066117094338147] |
709.071 | Combinatorically Prescribed Packings and Applications to Conformal and
Quasiconformal Maps | The Andreev-Thurston Circle Packing Theorem is generalized to packings of
convex bodies in planar simply connected domains. This turns out to be a useful
tool for constructing conformal and quasiconformal mappings with interesting
geometric properties. We attempt to illustrate this with a few results about
uniformizations of finitely connected planar domains. For example, the
following variation of a theorem by Courant, Manel and Shiffman is proved and
generalized. If $G$ is an $n+1$-connected bounded planar domain, $H$ is a
simply connected bounded planar domain, and $P_1,P_2,...,P_n$ are (compact)
planar convex bodies, then sets $P_j'$ can be found so that $G$ is conformally
equivalent to $H-\cup_{j=1}^n P_j'$, and each $P_j'$ is either a point, or is
positively homothetic to $P_j$.
| math.CV math.CO math.MG | the andreevthurston circle packing theorem is generalized to packings of convex bodies in planar simply connected domains this turns out to be a useful tool for constructing conformal and quasiconformal mappings with interesting geometric properties we attempt to illustrate this with a few results about uniformizations of finitely connected planar domains for example the following variation of a theorem by courant manel and shiffman is proved and generalized if g is an n1connected bounded planar domain h is a simply connected bounded planar domain and p_1p_2p_n are compact planar convex bodies then sets p_j can be found so that g is conformally equivalent to hcup_j1n p_j and each p_j is either a point or is positively homothetic to p_j | [['the', 'andreevthurston', 'circle', 'packing', 'theorem', 'is', 'generalized', 'to', 'packings', 'of', 'convex', 'bodies', 'in', 'planar', 'simply', 'connected', 'domains', 'this', 'turns', 'out', 'to', 'be', 'a', 'useful', 'tool', 'for', 'constructing', 'conformal', 'and', 'quasiconformal', 'mappings', 'with', 'interesting', 'geometric', 'properties', 'we', 'attempt', 'to', 'illustrate', 'this', 'with', 'a', 'few', 'results', 'about', 'uniformizations', 'of', 'finitely', 'connected', 'planar', 'domains', 'for', 'example', 'the', 'following', 'variation', 'of', 'a', 'theorem', 'by', 'courant', 'manel', 'and', 'shiffman', 'is', 'proved', 'and', 'generalized', 'if', 'g', 'is', 'an', 'n1connected', 'bounded', 'planar', 'domain', 'h', 'is', 'a', 'simply', 'connected', 'bounded', 'planar', 'domain', 'and', 'p_1p_2p_n', 'are', 'compact', 'planar', 'convex', 'bodies', 'then', 'sets', 'p_j', 'can', 'be', 'found', 'so', 'that', 'g', 'is', 'conformally', 'equivalent', 'to', 'hcup_j1n', 'p_j', 'and', 'each', 'p_j', 'is', 'either', 'a', 'point', 'or', 'is', 'positively', 'homothetic', 'to', 'p_j']] | [-0.1425325755191886, 0.1349155005321929, -0.07073070427969746, 0.02262691205225723, -0.15755231810490722, -0.17209648152651347, -0.014460479686765566, 0.4051946646493414, -0.31043671029417413, -0.20262243283669587, 0.13815146927094168, -0.30218261545524, -0.15765532502378135, 0.2035580947327063, -0.16383408610911473, 0.046950403924869454, 0.043123764945599045, 0.06663926518319742, -0.017364356089788285, -0.25265259081902713, 0.337777632150961, -0.10186407188884913, 0.17757500148499789, 0.12216929346019322, 0.10586386087714977, -0.02140134966365345, 0.011032718310699515, 0.12030214257538319, -0.18484086980062547, 0.1268143188694249, 0.30352513927804387, 0.09152384586632252, 0.2250503445489575, -0.37834120520755, -0.16820883454511995, 0.17741955151862424, 0.10863808018924749, -0.01669739994989789, -0.001650739157491404, -0.26562699566230824, 0.15320671307449432, -0.06476269535234441, -0.1903351904500438, -0.033494786529437354, 0.1014867328107357, 0.031184925373805607, -0.2643033963344667, 0.010916669227425818, 0.16053072574862237, 0.020442947850603126, -0.010239946331990801, -0.06809249811036432, -0.04605079877554723, 0.06640518005815861, -0.01965805887163657, 0.13633777075649603, 0.1134228818361526, -0.017595235622771408, -0.11320762365408565, 0.39044581697443903, -0.01478518030565718, -0.30504200818907956, 0.15815245370259104, -0.134593598002001, -0.1507918638865585, 0.11071071290694501, 0.11053693744596904, 0.1711755875579041, -0.1493842330072885, 0.17103323957670238, -0.11174617407074117, 0.11592219480156453, 0.1542323701772029, -0.08711841274457781, 0.20085183592999112, 0.09577512897794013, 0.16153933140797205, 0.2053422449723534, 0.046943931690538704, -0.027105248654666153, -0.32653849876445273, -0.14444414414465429, -0.2370771125687853, 0.11263905445128963, -0.13169313824226897, -0.17542812631986832, 0.3243820910625484, -0.017380235399468803, 0.15438988658235125, 0.0933459049353943, 0.20622931200525035, 0.08614839251234156, 0.04046681391318207, 0.1277965820191995, 0.13592865489747213, 0.19233945912033643, -0.02773393220976805, -0.08270179871469736, -0.037467952898663025, 0.1318628776785614] |
709.0711 | Bayesian posterior classification of planetary nebulae according to the
Peimbert types | In this paper we present a re-analysis of the criteria used to characterize
the Peimbert classes I, IIa, IIb, III and IV, through a statistical study of a
large sample of planetary nebulae previously classified according to these
groups. In the original classification, it is usual to find planetary nebulae
that cannot be associated with a single type; these most likely have dubious
classifications into two or three types. Statistical methods can greatly
contribute in providing a better characterization of planetary nebulae groups.
We use the Bayes Theorem to calculate the posterior probabilities for an object
to be member of each of the types I, IIa, IIb, III and IV. This calculation is
particularly important for planetary nebulae that are ambiguously classified in
the traditional method. The posterior probabilities are defined from the
probability density function of classificatory parameters of a well-defined
sample, composed only by planetary nebulae unambiguously fitted into the
Peimbert types. Because the probabilities depend on the available observational
data, they are conditional probabilities, and, as new observational data are
added to the sample, the classification of the nebula can be improved, to take
into account this new information. This method differs from the original
classificatory scheme, because it provides a quantitative result of the
representativity of the object within its group. Also, through the use of
marginal distributions it is possible to extend the Peimbert classification
even to those objects for which only a few classificatory parameters are known.
| astro-ph | in this paper we present a reanalysis of the criteria used to characterize the peimbert classes i iia iib iii and iv through a statistical study of a large sample of planetary nebulae previously classified according to these groups in the original classification it is usual to find planetary nebulae that cannot be associated with a single type these most likely have dubious classifications into two or three types statistical methods can greatly contribute in providing a better characterization of planetary nebulae groups we use the bayes theorem to calculate the posterior probabilities for an object to be member of each of the types i iia iib iii and iv this calculation is particularly important for planetary nebulae that are ambiguously classified in the traditional method the posterior probabilities are defined from the probability density function of classificatory parameters of a welldefined sample composed only by planetary nebulae unambiguously fitted into the peimbert types because the probabilities depend on the available observational data they are conditional probabilities and as new observational data are added to the sample the classification of the nebula can be improved to take into account this new information this method differs from the original classificatory scheme because it provides a quantitative result of the representativity of the object within its group also through the use of marginal distributions it is possible to extend the peimbert classification even to those objects for which only a few classificatory parameters are known | [['in', 'this', 'paper', 'we', 'present', 'a', 'reanalysis', 'of', 'the', 'criteria', 'used', 'to', 'characterize', 'the', 'peimbert', 'classes', 'i', 'iia', 'iib', 'iii', 'and', 'iv', 'through', 'a', 'statistical', 'study', 'of', 'a', 'large', 'sample', 'of', 'planetary', 'nebulae', 'previously', 'classified', 'according', 'to', 'these', 'groups', 'in', 'the', 'original', 'classification', 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0.11993230274137964, 0.04007642159302152, -0.16562817978184122, 0.10875772660766102, 0.05627623734000706] |
709.0712 | Invariant theory of abelian transvection groups | Let $G$ be a finite group acting linearly on the vector space $V$ over a
field of arbitrary characteristic. The action is called {\em coregular} if the
invariant ring is generated by algebraically independent homogeneous invariants
and the {\em direct summand property} holds if there is a surjective
$k[V]^G$-linear map $\pi:k[V]\to k[V]^G$. The following
Chevalley--Shephard--Todd type theorem is proved. Suppose $G$ is abelian, then
the action is coregular if and only if $G$ is generated by pseudo-reflections
and the direct summand property holds.
| math.AC | let g be a finite group acting linearly on the vector space v over a field of arbitrary characteristic the action is called em coregular if the invariant ring is generated by algebraically independent homogeneous invariants and the em direct summand property holds if there is a surjective kvglinear map pikvto kvg the following chevalleyshephardtodd type theorem is proved suppose g is abelian then the action is coregular if and only if g is generated by pseudoreflections and the direct summand property holds | [['let', 'g', 'be', 'a', 'finite', 'group', 'acting', 'linearly', 'on', 'the', 'vector', 'space', 'v', 'over', 'a', 'field', 'of', 'arbitrary', 'characteristic', 'the', 'action', 'is', 'called', 'em', 'coregular', 'if', 'the', 'invariant', 'ring', 'is', 'generated', 'by', 'algebraically', 'independent', 'homogeneous', 'invariants', 'and', 'the', 'em', 'direct', 'summand', 'property', 'holds', 'if', 'there', 'is', 'a', 'surjective', 'kvglinear', 'map', 'pikvto', 'kvg', 'the', 'following', 'chevalleyshephardtodd', 'type', 'theorem', 'is', 'proved', 'suppose', 'g', 'is', 'abelian', 'then', 'the', 'action', 'is', 'coregular', 'if', 'and', 'only', 'if', 'g', 'is', 'generated', 'by', 'pseudoreflections', 'and', 'the', 'direct', 'summand', 'property', 'holds']] | [-0.2360676479278661, 0.2083437243177567, -0.10857757555182886, -0.008979810891891427, -0.15113649815665903, -0.18789649711645864, -0.05925331609668555, 0.3684660932164133, -0.3750112452256827, -0.1392814391752544, 0.08636197864572391, -0.24414892542394406, -0.11713444238620592, 0.20982643360570993, -0.07977071819528017, -0.12122755349947163, 0.0831884196959436, 0.20034078878844963, -0.024196647288691666, -0.2858079719460673, 0.3815838811505172, -0.09918580227244048, 0.2280843310966444, 0.04247176478168479, 0.1849114065817385, 0.08709393229542507, -0.030258363716442277, 0.060170519467152905, -0.12470059639509813, 0.013162316362097583, 0.2548863383722894, 0.11978174561272119, 0.24211320736916897, -0.2934948760142297, -0.15704116870269733, 0.2870430753416853, 0.0792145180274491, -0.0728833083362307, -0.020052238679376007, -0.26673813074551245, 0.24439613529147558, -0.16157471953120864, -0.12716951128095388, -0.026674364015092083, 0.17267798190436293, -0.042893668480022, -0.3328065794007278, -0.022956692153748907, 0.1277783006015751, 0.10944915820131607, -0.0206632154241325, -0.03206965414646231, -0.09823215683853184, 0.042354809746928054, -0.01931548272230789, 0.14412628898948984, 0.10202293059455207, -0.05351731162748219, -0.07409108265441049, 0.3983590593216596, -0.12743942000339797, -0.23881608905431664, 0.10122952071007019, -0.16134889865363086, -0.0853877591866034, 0.12839245557552204, -0.026306648638076437, 0.16636742734246784, 0.006727552558812831, 0.30211692910287874, -0.19598866412761035, 0.11771243378336047, 0.053316659604509674, -0.03806705790698344, 0.1250828462422906, 0.022593647646890196, 0.1498465032757254, 0.10805143379566064, 0.05518156068434042, 0.08662026311144416, -0.3522596383858242, -0.16389320172185515, -0.22333281641872024, 0.2049398147098628, -0.0591249872866032, -0.13424861394328835, 0.35370515985414386, 0.007662194246357238, 0.12323414650458245, 0.08586946903601472, 0.24526058200654793, 0.1193468663726508, 0.0561542863164235, 0.11956828892989843, 0.08622433093985842, 0.2616212420154041, -0.12655213135035914, -0.12488033892701805, 0.03199486109646566, 0.2472259537661793] |
709.0713 | The geometrically-averaged density of states calculated from the local
Green's function as a measure of localization | With the goal of measuring localization in disordered interacting systems, we
examine the finite-size scaling of the geometrically-averaged density of states
calculated from the local Green's function with finite energy resolution. Our
results show that, unlike in a simple energy binning procedure, there is no
limit in which the finite energy resolution is irrelevant.
| cond-mat.str-el cond-mat.dis-nn | with the goal of measuring localization in disordered interacting systems we examine the finitesize scaling of the geometricallyaveraged density of states calculated from the local greens function with finite energy resolution our results show that unlike in a simple energy binning procedure there is no limit in which the finite energy resolution is irrelevant | [['with', 'the', 'goal', 'of', 'measuring', 'localization', 'in', 'disordered', 'interacting', 'systems', 'we', 'examine', 'the', 'finitesize', 'scaling', 'of', 'the', 'geometricallyaveraged', 'density', 'of', 'states', 'calculated', 'from', 'the', 'local', 'greens', 'function', 'with', 'finite', 'energy', 'resolution', 'our', 'results', 'show', 'that', 'unlike', 'in', 'a', 'simple', 'energy', 'binning', 'procedure', 'there', 'is', 'no', 'limit', 'in', 'which', 'the', 'finite', 'energy', 'resolution', 'is', 'irrelevant']] | [-0.12719782431311202, 0.14564458615550735, -0.12364707750988738, 0.07425340943758921, 0.04805321625943454, -0.08717269344114752, 0.03711403324708061, 0.3662988699902341, -0.21881901453477595, -0.2729187299901584, 0.027347534194254793, -0.30296885334658175, -0.09513847388432554, 0.15682988540040996, 0.00456630312925521, 0.05431974481545248, 0.050507238833233714, 0.05514259425536642, -0.10453679285644782, -0.16492748568010218, 0.3154854538920775, 0.06546084939080449, 0.3236489907820832, 0.08312709554854147, 0.07602989409154035, 0.07169228177605513, -0.03409073017713315, 0.0671441980356456, -0.1409876904729589, 0.07030145691615476, 0.25933827401604503, 0.02515625886900245, 0.25149403045059376, -0.39208101034867315, -0.2485583403130185, 0.10591974193757435, 0.13336842708983723, 0.12152712047759022, -0.05877627907232996, -0.23298020263747224, 0.10424672221800066, -0.1643362386406944, -0.16098826603507096, -0.0544437733742426, -0.02341006393983679, 0.04835540595692846, -0.22421344378435948, 0.14284893290473605, 0.038150862175619825, 0.055220166695708374, -0.08803747152417617, -0.061897921006915706, -0.02470154854258136, 0.10707718928186398, 0.004592562173405346, 0.0029359867110989005, 0.10370914044983263, -0.16408944463814204, -0.07186672984367623, 0.3496706713834461, -0.05512743130466848, -0.22179365098775136, 0.22203837178717806, -0.17603940440271543, -0.12751459441903346, 0.14750836745677692, 0.08173606802164665, 0.1067551741341375, -0.12013821922383218, 0.12051764053275, -0.02817475352269369, 0.21234915835589593, 0.0339112738147378, 0.0553697218991078, 0.1633093914825399, 0.1901056762995585, 0.08918163874450158, 0.13477134763017157, -0.11557311234327983, -0.11739957832977316, -0.33074912903303244, -0.11664162642972649, -0.29239579367468943, 0.07862111884345002, -0.10312560778814105, -0.18136944927556334, 0.38286880772771703, 0.17656176414270447, 0.21887303192941648, 0.07521164137211118, 0.28922900156873577, 0.19443779876499595, 0.08219365504974464, 0.08621287717536655, 0.21856512051989446, 0.10382473116020127, 0.03719066513948283, -0.27921531656493415, -0.023504325162338198, 0.07010919969300476] |
709.0714 | The permutation group S_N and large Nc excited baryons | We study the excited baryon states for an arbitrary number of colors Nc from
the perspective of the permutation group S_N of N objects. Classifying the
transformation properties of states and quark-quark interaction operators under
S_N allows a general analysis of the spin-flavor structure of the mass operator
of these states, in terms of a few unknown constants parameterizing the unknown
spatial structure. We explain how to perform the matching calculation of a
general two-body quark-quark interaction onto the operators of the 1/Nc
expansion. The inclusion of core and excited quark operators is shown to be
necessary. Considering the case of the negative parity L=1 states transforming
in the MS of S_N, we discuss the matching of the one-gluon and the
Goldstone-boson exchange interactions.
| hep-ph hep-th nucl-th | we study the excited baryon states for an arbitrary number of colors nc from the perspective of the permutation group s_n of n objects classifying the transformation properties of states and quarkquark interaction operators under s_n allows a general analysis of the spinflavor structure of the mass operator of these states in terms of a few unknown constants parameterizing the unknown spatial structure we explain how to perform the matching calculation of a general twobody quarkquark interaction onto the operators of the 1nc expansion the inclusion of core and excited quark operators is shown to be necessary considering the case of the negative parity l1 states transforming in the ms of s_n we discuss the matching of the onegluon and the goldstoneboson exchange interactions | [['we', 'study', 'the', 'excited', 'baryon', 'states', 'for', 'an', 'arbitrary', 'number', 'of', 'colors', 'nc', 'from', 'the', 'perspective', 'of', 'the', 'permutation', 'group', 's_n', 'of', 'n', 'objects', 'classifying', 'the', 'transformation', 'properties', 'of', 'states', 'and', 'quarkquark', 'interaction', 'operators', 'under', 's_n', 'allows', 'a', 'general', 'analysis', 'of', 'the', 'spinflavor', 'structure', 'of', 'the', 'mass', 'operator', 'of', 'these', 'states', 'in', 'terms', 'of', 'a', 'few', 'unknown', 'constants', 'parameterizing', 'the', 'unknown', 'spatial', 'structure', 'we', 'explain', 'how', 'to', 'perform', 'the', 'matching', 'calculation', 'of', 'a', 'general', 'twobody', 'quarkquark', 'interaction', 'onto', 'the', 'operators', 'of', 'the', '1nc', 'expansion', 'the', 'inclusion', 'of', 'core', 'and', 'excited', 'quark', 'operators', 'is', 'shown', 'to', 'be', 'necessary', 'considering', 'the', 'case', 'of', 'the', 'negative', 'parity', 'l1', 'states', 'transforming', 'in', 'the', 'ms', 'of', 's_n', 'we', 'discuss', 'the', 'matching', 'of', 'the', 'onegluon', 'and', 'the', 'goldstoneboson', 'exchange', 'interactions']] | [-0.1648816951642549, 0.19253886324804625, -0.08470513837293707, 0.10993685825040654, -0.03490228102835376, -0.05630456249890549, 0.06419788370652485, 0.3179491242664235, -0.25276493090355107, -0.27248858950371224, 0.02485406782568222, -0.28478014212481456, -0.0720684006265665, 0.06296605290093969, 0.04044012234906756, 0.020470628351998334, 0.031766888599151805, 0.07989860137533997, -0.09521707340759496, -0.19948624651278218, 0.39102929847074613, -0.006538721567560588, 0.22275398528173326, 0.0769860991628863, 0.05401468798217754, 0.05263285368451879, -0.04810459706031026, -0.058592069173051466, -0.07365972355065394, 0.12866271845057548, 0.20180228163888153, 0.09607017152067725, 0.18438316158003984, -0.4143272248216935, -0.13378133264843434, 0.12260270438667747, 0.14608660509299126, 0.13445471627863065, -0.0319091523697059, -0.31490226655695286, 0.03506907387336175, -0.19401014164736075, -0.16841736682991107, -0.09508591097208761, 0.032565069636480225, -0.019211793868547124, -0.3182607322993253, 0.0741359565103736, 0.042356688619380994, 0.00410699628053173, -0.07134273712149626, -0.15143718834658484, -0.04504470587632949, 0.14839400851257867, 0.054600275562880864, 0.007584534527268261, 0.10290890272271129, -0.16434294594106294, -0.09201053517209666, 0.40585323675505575, -0.04738099745384628, -0.1914201169800494, 0.12159688028529467, -0.16043907502523413, -0.13596214297332712, 0.06429864445536007, 0.1714439309829275, 0.15211495667350508, -0.1355686324372542, 0.13176458446738956, -0.05251586093236842, 0.14692877509420918, 0.09282227290133314, 0.06989871634399489, 0.14629102794964227, 0.11005626152262031, 0.029392924418883217, 0.13981703463697717, -0.0289524900726974, -0.09283986571244895, -0.3454623949834176, -0.09849358238880673, -0.15513923428502055, 0.044149485132243906, -0.11945845081525829, -0.14410559845888318, 0.45566066932083377, 0.0825064386196074, 0.22088852687433716, 0.024922710795973187, 0.2514066618243833, 0.12523370414536686, 0.08687943095085962, 0.03390302346087992, 0.19734151524701907, 0.2455974307789978, 0.00037857163706869485, -0.3047364722175013, 0.017247777976726573, 0.11319995271755502] |
709.0715 | On Chevalley-Shephard-Todd's theorem in positive characteristic | Let $G$ be a finite group acting linearly on the vector space $V$ over a
field of arbitrary characteristic. The action is called coregular if the
invariant ring is generated by algebraically independent homogeneous invariants
and the direct summand property holds if there is a surjective $k[V]^G$-linear
map $\pi:k[V]\to k[V]^G$. The following Chevalley-Shephard-Todd type theorem is
proved. Suppose $V$ is an irreducible $kG$-representation, then the action is
coregular if and only if $G$ is generated by pseudo-reflections and the direct
summand property holds.
| math.AC | let g be a finite group acting linearly on the vector space v over a field of arbitrary characteristic the action is called coregular if the invariant ring is generated by algebraically independent homogeneous invariants and the direct summand property holds if there is a surjective kvglinear map pikvto kvg the following chevalleyshephardtodd type theorem is proved suppose v is an irreducible kgrepresentation then the action is coregular if and only if g is generated by pseudoreflections and the direct summand property holds | [['let', 'g', 'be', 'a', 'finite', 'group', 'acting', 'linearly', 'on', 'the', 'vector', 'space', 'v', 'over', 'a', 'field', 'of', 'arbitrary', 'characteristic', 'the', 'action', 'is', 'called', 'coregular', 'if', 'the', 'invariant', 'ring', 'is', 'generated', 'by', 'algebraically', 'independent', 'homogeneous', 'invariants', 'and', 'the', 'direct', 'summand', 'property', 'holds', 'if', 'there', 'is', 'a', 'surjective', 'kvglinear', 'map', 'pikvto', 'kvg', 'the', 'following', 'chevalleyshephardtodd', 'type', 'theorem', 'is', 'proved', 'suppose', 'v', 'is', 'an', 'irreducible', 'kgrepresentation', 'then', 'the', 'action', 'is', 'coregular', 'if', 'and', 'only', 'if', 'g', 'is', 'generated', 'by', 'pseudoreflections', 'and', 'the', 'direct', 'summand', 'property', 'holds']] | [-0.23111989377939607, 0.19689328623517213, -0.11039872334222309, -0.027056538600299974, -0.13086995290941558, -0.19054470479604788, -0.07220356757752597, 0.3665093403309584, -0.38561485428363085, -0.11737182732322253, 0.08453228150610811, -0.2546761334582698, -0.11178687025676481, 0.21784193300409244, -0.08209695630939677, -0.12696521253674292, 0.08584630598197691, 0.2007871275069192, -0.04103686328744516, -0.28944658108521254, 0.38949169125407934, -0.10237250695936381, 0.22319967920193448, 0.05581713361898437, 0.19310727340052836, 0.07864874451770447, -0.01875975671573542, 0.04379027929644508, -0.11782525740563869, 0.01787583646218991, 0.25358249694108964, 0.12074214368249159, 0.24242390446015633, -0.2916030624415725, -0.15021419135155156, 0.2892738422611728, 0.09784215240506455, -0.06826618635095656, -0.019475125732424204, -0.2723776147002354, 0.2379397076438181, -0.16163317285245285, -0.13630925359902904, -0.02701032746117562, 0.17891011880274163, -0.04714436484937323, -0.3316522098146379, -0.021324770769570022, 0.13191830057185144, 0.12162072900100611, -0.03394947415399656, -0.03958963281475007, -0.10573108750395477, 0.06081517314887606, -0.023972335290454793, 0.14137336763669736, 0.09606198294786736, -0.05341620678082108, -0.06825386696436908, 0.3958838479127735, -0.12149824736407026, -0.2479231222998351, 0.1047147620585747, -0.16159310177899897, -0.08460959335789084, 0.12872122313347062, -0.019813857509871014, 0.15666263597086072, -0.005266539158765226, 0.29363399268841023, -0.1870679130544886, 0.12624000413343311, 0.04841143221128732, -0.04197564534260891, 0.13192127368529327, 0.03169382990454324, 0.1497095822069241, 0.10299994321976555, 0.05161430499574635, 0.08709278423339128, -0.356283479440026, -0.1718750287545845, -0.21612194071640262, 0.19951331227784977, -0.06702821134986152, -0.12283639997476711, 0.3531053285987582, 0.007245136838173493, 0.14198705652961507, 0.08559018817031756, 0.24527970989001915, 0.1331247268128209, 0.05667532178922556, 0.10844000317738392, 0.07711390848853625, 0.25750169713865034, -0.11632678136375034, -0.12510623078560457, 0.035321343847317624, 0.23509256962570363] |
709.0716 | Maximum Entanglement in Squeezed Boson and Fermion States | A class of squeezed boson and fermion states is studied with particular
emphasis on the nature of entanglement. We first investigate the case of
bosons, considering two-mode squeezed states. Then we construct the fermion
version to show that such states are maximum entangled, for both bosons and
fermions. To achieve these results, we demonstrate some relations involving
squeezed boson states. The generalization to the case of fermions is made by
using Grassmann variables.
| quant-ph | a class of squeezed boson and fermion states is studied with particular emphasis on the nature of entanglement we first investigate the case of bosons considering twomode squeezed states then we construct the fermion version to show that such states are maximum entangled for both bosons and fermions to achieve these results we demonstrate some relations involving squeezed boson states the generalization to the case of fermions is made by using grassmann variables | [['a', 'class', 'of', 'squeezed', 'boson', 'and', 'fermion', 'states', 'is', 'studied', 'with', 'particular', 'emphasis', 'on', 'the', 'nature', 'of', 'entanglement', 'we', 'first', 'investigate', 'the', 'case', 'of', 'bosons', 'considering', 'twomode', 'squeezed', 'states', 'then', 'we', 'construct', 'the', 'fermion', 'version', 'to', 'show', 'that', 'such', 'states', 'are', 'maximum', 'entangled', 'for', 'both', 'bosons', 'and', 'fermions', 'to', 'achieve', 'these', 'results', 'we', 'demonstrate', 'some', 'relations', 'involving', 'squeezed', 'boson', 'states', 'the', 'generalization', 'to', 'the', 'case', 'of', 'fermions', 'is', 'made', 'by', 'using', 'grassmann', 'variables']] | [-0.12563366206898674, 0.2816445224612237, -0.04899956366327936, 0.10397210524238851, -0.012790186662380009, -0.17317790417510964, 0.06025227350629356, 0.36784241317886196, -0.18341223722043104, -0.22825337710394844, 0.0441615823050323, -0.3021587933834693, -0.10004565702776795, 0.17222529858963131, 0.0006228446871144314, 0.10557258490804736, 0.11080932906790547, 0.020331821519218078, -0.052513017411637185, -0.30456796334418534, 0.39131677780963786, -0.05823700984761323, 0.26934403408165664, 0.04952242378821622, 0.10571995258892644, 0.06010362524411654, 0.04421059018613337, -0.05476773372047568, -0.09409720455473751, 0.09730158553280141, 0.18943992821971745, 0.05008109396782844, 0.17995324052155834, -0.36158768858199253, -0.16952900121575348, 0.14603795935336042, 0.11373299186130705, 0.18097859186643403, -0.03188757642574149, -0.3709802134281458, 0.03309326991438866, -0.19446095391750745, -0.13748603550500352, -0.15504765286658928, -0.06055333638844425, -0.057481606911918885, -0.2800115477038573, 0.06858454176467167, -0.0005739610578405531, 0.014163031613762006, 0.0029869751098935736, -0.11534769367426634, -0.05556634403382466, 0.015644460725151514, 0.03670341521342068, -0.05077624817263998, 0.07329979818952206, -0.22782437910313066, -0.18456498472887564, 0.37314953408778123, -0.10531647666676404, -0.260873258203166, 0.19004637138178088, -0.11394965950374121, -0.13011106261218044, -0.016642797381094056, 0.15983742479336996, 0.10118302116042947, -0.10048147359837407, 0.09730946410236854, -0.10777391535421349, 0.16061313945340783, 0.0839447154510409, 0.16156055833761618, 0.21907875551650785, 0.08759123667092254, 0.023825846331780903, 0.27756800957036853, -0.05933712368945859, -0.13938854606056664, -0.3263991840234766, -0.2152660875007102, -0.22183090444233217, 0.07185252649990255, -0.02208437704543379, -0.12436527807316551, 0.4368606668271839, 0.12859308154462543, 0.1861868484634651, 0.037125590206315257, 0.19701538516259562, 0.14710338270827517, 0.014952493372232947, 0.06782697282144673, 0.28498515982558786, 0.20601648454911597, 0.011083321409835799, -0.200213420123487, -0.07745759152769022, 0.08317344259368638] |
709.0717 | Representation functions of bases for binary linear forms | Let F(x_1,...,x_m) = u_1 x_1 + ... + u_m x_m be a linear form with nonzero,
relatively prime integer coefficients u_1,..., u_m. For any set A of integers,
let F(A) = {F(a_1,...,a_m) : a_i in A for i=1,...,m}. The representation
function associated with the form F is
R_{A,F}(n) = card {(a_1,...,a_m) in A^m: F(a_1,..., a_m) = n}. The set A is a
basis with respect to F for almost all integers the set Z\F(A) has asymptotic
density zero. Equivalently, the representation function of an asymptotic basis
is a function f:Z -> N_0 U {\infty} such that f^{-1}(0) has density zero. Given
such a function, the inverse problem for bases is to construct a set A whose
representation function is f. In this paper the inverse problem is solved for
binary linear forms.
| math.NT math.CO | let fx_1x_m u_1 x_1 u_m x_m be a linear form with nonzero relatively prime integer coefficients u_1 u_m for any set a of integers let fa fa_1a_m a_i in a for i1m the representation function associated with the form f is r_afn card a_1a_m in am fa_1 a_m n the set a is a basis with respect to f for almost all integers the set zfa has asymptotic density zero equivalently the representation function of an asymptotic basis is a function fz n_0 u infty such that f10 has density zero given such a function the inverse problem for bases is to construct a set a whose representation function is f in this paper the inverse problem is solved for binary linear forms | [['let', 'fx_1x_m', 'u_1', 'x_1', 'u_m', 'x_m', 'be', 'a', 'linear', 'form', 'with', 'nonzero', 'relatively', 'prime', 'integer', 'coefficients', 'u_1', 'u_m', 'for', 'any', 'set', 'a', 'of', 'integers', 'let', 'fa', 'fa_1a_m', 'a_i', 'in', 'a', 'for', 'i1m', 'the', 'representation', 'function', 'associated', 'with', 'the', 'form', 'f', 'is', 'r_afn', 'card', 'a_1a_m', 'in', 'am', 'fa_1', 'a_m', 'n', 'the', 'set', 'a', 'is', 'a', 'basis', 'with', 'respect', 'to', 'f', 'for', 'almost', 'all', 'integers', 'the', 'set', 'zfa', 'has', 'asymptotic', 'density', 'zero', 'equivalently', 'the', 'representation', 'function', 'of', 'an', 'asymptotic', 'basis', 'is', 'a', 'function', 'fz', 'n_0', 'u', 'infty', 'such', 'that', 'f10', 'has', 'density', 'zero', 'given', 'such', 'a', 'function', 'the', 'inverse', 'problem', 'for', 'bases', 'is', 'to', 'construct', 'a', 'set', 'a', 'whose', 'representation', 'function', 'is', 'f', 'in', 'this', 'paper', 'the', 'inverse', 'problem', 'is', 'solved', 'for', 'binary', 'linear', 'forms']] | [-0.2130903417322164, 0.0990416553386846, -0.06451180567964912, -0.014094801944641707, -0.06190813465897615, -0.14886127742550645, -0.02768421111977659, 0.30928818917212386, -0.3360378306979934, -0.16392788394829647, 0.06955491001232682, -0.3415198422037065, -0.12445758005487732, 0.14801875419604282, -0.008960269857198, 0.04171444189948185, 0.0072731411588999135, 0.14634166332737852, -0.0892202505977669, -0.23345760704639057, 0.2994561241241172, -0.0807761344127357, 0.1498315211618319, -0.04400634189854221, 0.15079877656535245, 0.003910581335852233, 0.07701142081447566, -0.016666003918120016, -0.15468466269309525, 0.06385737778424906, 0.314311825344339, 0.15052370371607443, 0.3532398977782577, -0.322616530112767, -0.09660613735516867, 0.25724939588302126, 0.17047984930686652, -0.055670950359975296, -0.024635715829208493, -0.18232727897993756, 0.18645589521232372, -0.1603899484713717, -0.16672749197265754, -0.0402125616344468, 0.16111301205528433, 0.03921237960166764, -0.4573075325849156, 0.015051016110616426, 0.04374249296282263, 0.09058765537726382, -0.04227322720277395, -0.21899695127503946, -0.002625774786186715, 0.0435408344763952, -0.03421741295217847, 0.17779231742412474, 0.025741415483450207, -0.08330521378084085, -0.026617634928940485, 0.3407075623254059, -0.0981249055165487, -0.32175425354701775, 0.05438938530860469, -0.16740718960451584, -0.10104770417868471, 0.0912075674549366, 0.09474979448908319, 0.1283534764079377, -0.07312954367468288, 0.25348149293567984, -0.1414348419154218, 0.158477572677657, 0.08026455283785859, -0.012930801270219188, 0.18750329710892402, 0.05365312439389527, 0.10520047886917988, 0.11217661693129534, 0.0215599707516958, 0.06776649925935392, -0.3594856936484575, -0.14908844899230947, -0.2408683902496705, 0.16794879552908243, -0.122841399081517, -0.2125788574029381, 0.3385154111427255, 0.024526166475455587, 0.24324805915821343, 0.11579090214800089, 0.20140618210468045, 0.21055813921896818, 0.026994162254656354, 0.07800302993661413, 0.00850556989510854, 0.17346963248564862, -0.034585447912104425, -0.1594047242232288, 0.048433737643063066, 0.16134106869576498] |
709.0718 | Evidence for a finite temperature phase transition in a bilayer quantum
Hall system | We study the Josephson-like interlayer tunneling signature of the strongly
correlated $\nu_T = 1$ quantum Hall phase in bilayer two-dimensional electron
systems as a function of the layer separation, temperature and interlayer
charge imbalance. Our results offer strong evidence that a finite temperature
phase transition separates the interlayer coherent phase from incoherent phases
which lack strong interlayer correlations. The transition temperature is
dependent on both the layer spacing and charge imbalance between the layers.
| cond-mat.mes-hall cond-mat.str-el | we study the josephsonlike interlayer tunneling signature of the strongly correlated nu_t 1 quantum hall phase in bilayer twodimensional electron systems as a function of the layer separation temperature and interlayer charge imbalance our results offer strong evidence that a finite temperature phase transition separates the interlayer coherent phase from incoherent phases which lack strong interlayer correlations the transition temperature is dependent on both the layer spacing and charge imbalance between the layers | [['we', 'study', 'the', 'josephsonlike', 'interlayer', 'tunneling', 'signature', 'of', 'the', 'strongly', 'correlated', 'nu_t', '1', 'quantum', 'hall', 'phase', 'in', 'bilayer', 'twodimensional', 'electron', 'systems', 'as', 'a', 'function', 'of', 'the', 'layer', 'separation', 'temperature', 'and', 'interlayer', 'charge', 'imbalance', 'our', 'results', 'offer', 'strong', 'evidence', 'that', 'a', 'finite', 'temperature', 'phase', 'transition', 'separates', 'the', 'interlayer', 'coherent', 'phase', 'from', 'incoherent', 'phases', 'which', 'lack', 'strong', 'interlayer', 'correlations', 'the', 'transition', 'temperature', 'is', 'dependent', 'on', 'both', 'the', 'layer', 'spacing', 'and', 'charge', 'imbalance', 'between', 'the', 'layers']] | [-0.2465365217896561, 0.29374121498852357, -0.049250249699880816, 0.050002766168701834, 0.037388544555192124, -0.1775493977132113, 0.15054839078260407, 0.37915043402718357, -0.310856297714253, -0.2384397489216485, -0.047761331585057284, -0.3244350663807294, -0.14592704314049587, 0.11286127719109597, 0.10660933393806424, -0.009872797085610155, -0.033696352249036915, -0.11817686716477348, -0.14438689122142348, -0.12636153672324263, 0.3547702840822813, -0.015892831941951728, 0.40741913227287874, 0.17460609612705774, 0.05413783957850035, 0.017548268731071116, 0.112793789997901, 0.04770345095391959, -0.14810619128547842, -0.042867825940659604, 0.23547514135094538, -0.17319507047865693, 0.1910200228225695, -0.4047948061807515, -0.2010611511339523, 0.012355992819297395, 0.10979614968209093, 0.1579016840311839, -0.07621859548109494, -0.2814574956141208, -0.0167800399525831, -0.17810710259292223, -0.04713219035518904, -0.07757956645617338, 0.012371303628466716, 0.005413059244085461, -0.27578653267597497, 0.19343627285059184, 0.09628332421591837, 0.09074525610377936, -0.07166794799459614, -0.10368253638942355, -0.11453097318107747, 0.11983442477393921, 0.011657480440702136, 0.08181566439173503, 0.16772323922088292, -0.12820964605126478, -0.08043530682573886, 0.2808925628355921, -0.0803013545626851, -0.08791343199267779, 0.21625694475608737, -0.19565032109676395, 0.0007735594966742274, 0.15574061388328467, 0.11106782882595562, 0.07036333876240948, -0.0774310339650471, 0.026161612319275225, -0.004969993488199703, 0.2492969508780396, 0.00689599643882415, 0.13981249862771533, 0.2935775420692277, 0.18824670316447337, 0.07883242513882378, 0.16167773038774014, -0.16318906150592413, -0.11966396607331013, -0.24462704010920167, -0.14589971980105523, -0.23358994930319182, 0.039900974089866634, -0.11737671990724191, -0.22622160353276827, 0.4120269902305652, 0.15256757773171906, 0.21611707477690015, -0.06927864484597406, 0.2718334408119729, 0.14799274442947075, 0.05394331694976108, -0.017878158655885146, 0.2598902422947528, 0.1988360118918274, 0.1506263674491991, -0.3234527791205998, 0.07222750506759303, 0.041027921009553624] |
709.0719 | Estimation of Possible Selectivity and Sensitivity of a Cooperative
System to Low-Intensive Microwave Radiation | Recently, origins of non-deterministic behavior and free will in living
systems obtain growing interest (see, e.g. Maye A, Hsieh C, Sugihara G, Brembs
B (2007) Order in Spontaneous Behavior. PLoS ONE 2(5): e443.
doi:10.1371/journal.pone.0000443). In this text, devoted to electromagnetic
hypersensitivity, in n.2 and n.4, a possible physical mechanism of free will
and consequent indeterminacy in behavior is discussed.
| physics.bio-ph | recently origins of nondeterministic behavior and free will in living systems obtain growing interest see eg maye a hsieh c sugihara g brembs b 2007 order in spontaneous behavior plos one 25 e443 doi101371journalpone0000443 in this text devoted to electromagnetic hypersensitivity in n2 and n4 a possible physical mechanism of free will and consequent indeterminacy in behavior is discussed | [['recently', 'origins', 'of', 'nondeterministic', 'behavior', 'and', 'free', 'will', 'in', 'living', 'systems', 'obtain', 'growing', 'interest', 'see', 'eg', 'maye', 'a', 'hsieh', 'c', 'sugihara', 'g', 'brembs', 'b', '2007', 'order', 'in', 'spontaneous', 'behavior', 'plos', 'one', '25', 'e443', 'doi101371journalpone0000443', 'in', 'this', 'text', 'devoted', 'to', 'electromagnetic', 'hypersensitivity', 'in', 'n2', 'and', 'n4', 'a', 'possible', 'physical', 'mechanism', 'of', 'free', 'will', 'and', 'consequent', 'indeterminacy', 'in', 'behavior', 'is', 'discussed']] | [-0.14086853080132808, 0.18673943934792822, -0.038864254968410186, 0.06512186032804576, -0.08867060132324696, -0.14501346554607153, 0.03683687722818418, 0.31576370053702374, -0.20835201713171872, -0.319681154191494, 0.07327262449967252, -0.2841539632359689, -0.19099333750253375, 0.14094429717145182, -0.11413861189714887, 0.046455287120559, -0.027897564101625572, 0.049700323441489176, 0.014365857381331311, -0.23950509219007057, 0.23895488830113953, 0.02323411897840825, 0.2715937553481622, 0.06382977796549147, 0.0413071843880144, 0.006891507121988319, -0.050066999854011966, -0.017180492407218976, -0.14848543480038642, 0.08838677184486932, 0.288106126033447, 0.1273313103201376, 0.27258790995587, -0.40742163378745316, -0.19198437544771216, 0.08755889987488362, 0.14096060620954218, 0.057309869829226624, -0.028720611418512735, -0.2386411089450121, 0.037348290211097764, -0.18700028615580364, -0.1490560763261535, -0.03058044835925102, 0.1673458112827079, -0.02934523625722663, -0.21793510443107647, 0.03677776413546367, 0.09029349159788001, 0.09298384853384711, -0.027445550974119794, -0.09167083034461194, -0.025147051982242954, 0.09815578106790782, 0.06276370687833564, 0.05873425923372534, 0.07896143594248728, -0.1525940030601553, -0.16030390402725475, 0.40995595807378943, -0.03921124338468706, -0.13333070579577577, 0.22143807966600765, -0.17634472896090964, -0.17366892245005477, 0.13450429624962537, 0.15403536859561096, 0.10011607494459233, -0.13795166467739778, 0.1522963340447115, 0.022402088276364588, 0.14410039132291622, 0.10000940723006022, 0.03286808121272109, 0.17154102726754816, 0.1552702888973396, -0.01763271310112693, 0.1475159764289856, 0.00404268539595333, -0.057757272267587145, -0.2832253877750852, -0.1686728703344918, -0.10083198307759382, 0.12996113334189763, -0.003854025842156261, -0.11181950790976936, 0.34772546053440734, 0.1390706313435327, 0.1696871510960839, -0.04581575618358329, 0.15150794156573036, 0.019260140491480178, 0.0016358988560651513, 0.021155255211686545, 0.2168592838401144, 0.11482930411161348, 0.18747751245444472, -0.19304906181483106, 0.038618124877526, 0.0774495220108127] |
709.072 | On knot Floer width and Turaev genus | To each knot $K\subset S^3$ one can associated its knot Floer homology
$\hat{HFK}(K)$, a finitely generated bigraded abelian group. In general, the
nonzero ranks of these homology groups lie on a finite number of slope one
lines with respect to the bigrading. The width of the homology is, in essence,
the largest horizontal distance between two such lines. Also, for each diagram
$D$ of $K$ there is an associated Turaev surface, and the Turaev genus is the
minimum genus of all Turaev surfaces for $K$. We show that the width of knot
Floer homology is bounded by Turaev genus plus one. Skein relations for genus
of the Turaev surface and width of a complex that generates knot Floer homology
are given.
| math.GT math.AT | to each knot ksubset s3 one can associated its knot floer homology hathfkk a finitely generated bigraded abelian group in general the nonzero ranks of these homology groups lie on a finite number of slope one lines with respect to the bigrading the width of the homology is in essence the largest horizontal distance between two such lines also for each diagram d of k there is an associated turaev surface and the turaev genus is the minimum genus of all turaev surfaces for k we show that the width of knot floer homology is bounded by turaev genus plus one skein relations for genus of the turaev surface and width of a complex that generates knot floer homology are given | [['to', 'each', 'knot', 'ksubset', 's3', 'one', 'can', 'associated', 'its', 'knot', 'floer', 'homology', 'hathfkk', 'a', 'finitely', 'generated', 'bigraded', 'abelian', 'group', 'in', 'general', 'the', 'nonzero', 'ranks', 'of', 'these', 'homology', 'groups', 'lie', 'on', 'a', 'finite', 'number', 'of', 'slope', 'one', 'lines', 'with', 'respect', 'to', 'the', 'bigrading', 'the', 'width', 'of', 'the', 'homology', 'is', 'in', 'essence', 'the', 'largest', 'horizontal', 'distance', 'between', 'two', 'such', 'lines', 'also', 'for', 'each', 'diagram', 'd', 'of', 'k', 'there', 'is', 'an', 'associated', 'turaev', 'surface', 'and', 'the', 'turaev', 'genus', 'is', 'the', 'minimum', 'genus', 'of', 'all', 'turaev', 'surfaces', 'for', 'k', 'we', 'show', 'that', 'the', 'width', 'of', 'knot', 'floer', 'homology', 'is', 'bounded', 'by', 'turaev', 'genus', 'plus', 'one', 'skein', 'relations', 'for', 'genus', 'of', 'the', 'turaev', 'surface', 'and', 'width', 'of', 'a', 'complex', 'that', 'generates', 'knot', 'floer', 'homology', 'are', 'given']] | [-0.2930172751968106, 0.12225154124231873, -0.10865711238390456, 0.1064194983143049, -0.11958119444316254, -0.20777038317949822, -0.025149228563532234, 0.3582391494632854, -0.34610371937354406, -0.2934748729210696, 0.02234151975135319, -0.26420190511562397, -0.1531534352960686, 0.16877321944727253, -0.18742994739247176, -0.04623988051595613, 0.06086229437884564, 0.15753053256388133, -0.06484732423171712, -0.2683989619060109, 0.41268930496104683, -0.09186967664087813, 0.12331753345400405, 0.1284163327111552, 0.0646031852811575, -0.06054134797110843, -0.026510958509364475, 0.006916388357058168, -0.21517167157786996, 0.12380133833503351, 0.2850222539544726, 0.0004927847650833428, 0.09861412596267959, -0.3160320676242312, -0.1210818866500631, 0.18110366942128167, 0.11318164105759934, -0.04536245074511195, 0.029251944856756987, -0.25821675937234734, 0.1254991745809093, -0.16138219825613, -0.16985058449596788, 0.02639593029549966, 0.11182835797468821, 0.011791557065832119, -0.07303023400017991, -0.0377831359047074, -0.0023706805892288684, 0.17598632522082577, 0.03169276607125842, -0.14212634068971966, -0.17125204349479947, 0.1647362662983748, 0.010731000379504014, 0.13152961916833494, 0.11019290861440822, -0.14395689075657478, -0.14074235043954103, 0.3489744250662625, -0.07848524650714049, -0.21640250510536135, 0.1232809604902286, -0.1456385684083216, -0.2192678658485723, 0.26490412885323167, -0.03126315481495112, 0.12615264119425168, 0.02895986718746523, 0.16940469929540997, -0.14509347543741266, 0.09680242091417313, 0.12608211860254717, -0.09226191804967433, 0.1829121143440716, 0.0351673596072942, 0.11244970393793968, 0.1595750968330928, -0.08791447699477431, -0.03002918060325707, -0.35218362698021033, -0.26779604230153686, -0.14571585840409776, 0.11547888191028809, -0.14272319406324338, -0.1947322268213611, 0.4610990349048128, -0.00042245957689980665, 0.15292130050559838, 0.1882940886183254, 0.2847237198303143, 0.013119860990749051, 0.08634218661269794, 0.0956981210426117, 0.06263105528584371, 0.2619426684551096, -0.09414615615969524, -0.1482237029452032, -0.023275714103753366, 0.3285125336341783] |
709.0721 | A remark on degenerate singularity in three dimensional Ricci flow | We show that a rescale limit at any degenerate singularity of Ricci flow in
dimension 3 is a steady gradient soliton. In particular, we give a geometric
description of type I and type II singularities.
| math.DG | we show that a rescale limit at any degenerate singularity of ricci flow in dimension 3 is a steady gradient soliton in particular we give a geometric description of type i and type ii singularities | [['we', 'show', 'that', 'a', 'rescale', 'limit', 'at', 'any', 'degenerate', 'singularity', 'of', 'ricci', 'flow', 'in', 'dimension', '3', 'is', 'a', 'steady', 'gradient', 'soliton', 'in', 'particular', 'we', 'give', 'a', 'geometric', 'description', 'of', 'type', 'i', 'and', 'type', 'ii', 'singularities']] | [-0.16329527271113226, 0.059812766526426586, -0.13963883312951242, 0.08473780377701456, -0.07367103433768664, -0.22357892938224333, -0.04235966317355633, 0.3190627365240029, -0.2390492182358035, -0.13008165157267026, 0.1312107658745455, -0.271466135765825, -0.14887460938521793, 0.114443071000278, -0.08754866403926696, -0.06849312830184187, 0.07800552966073156, 0.09331985139953239, -0.10829247147776186, -0.2258612803116973, 0.436178853894983, -0.09463788515755109, 0.23687004902000938, 0.09096559666961963, 0.1449589080842478, -0.054412829343761716, 0.04020048755088023, 0.0962069344041603, -0.2406658172418247, 0.05908826577610203, 0.19768014213602458, 0.07145351773527052, 0.20505558997392653, -0.3776317923728909, -0.23099420931456344, 0.16313898057809897, 0.20426518120137707, 0.19086168722382613, -0.05321985888960106, -0.19088929572275706, 0.10468582125114544, -0.13367150920842374, -0.24113021917208763, -0.05163637244009546, 0.038788477703928945, 0.0421129743169461, -0.23353524547336357, 0.1166323719812291, 0.15673804389578955, 0.07437625825405121, -0.05348791921777385, -0.01406271689172302, -0.029089400291975057, 0.01722595083327698, -0.032793257365535414, -0.007384645965482508, 0.06207001557839768, -0.17954251909894603, -0.08086570517293044, 0.31301593630175506, -0.1663481068132179, -0.2020330108968275, 0.16769349854439497, -0.12921247457021048, -0.1416631611928876, 0.12491710207292012, 0.15235714401517594, 0.15097453012796386, -0.04045649844753955, 0.14453594866707656, 0.008039431513420172, 0.099649373122624, 0.11285762009876114, -0.004845052412045854, 0.13559977593166486, 0.129675353737548, 0.14852009109620537, 0.08888567320204206, -0.08480071361575808, -0.07127029475356851, -0.4482153756277902, -0.21097334727112735, -0.13605191446840764, 0.19289474138723953, -0.14323949450585394, -0.17370181695691178, 0.40537828175084933, 0.02011260933109692, 0.26183322918202195, 0.05989448802678713, 0.2024345450369375, 0.1094046413898468, -0.010869474921907698, 0.1656952555058524, 0.24008981000099863, 0.10504555255174637, 0.1293284188423838, -0.18691482534632087, -0.06636999496924026, 0.18152233761336123] |
709.0722 | Lattice Formulation of the N=4 D=3 Twisted Super Yang-Mills | A lattice formulation of a three dimensional super Yang-Mills model with a
twisted N=4 supersymmetry is proposed. The extended supersymmetry algebra of
all eight supercharges is fully and exactly realized on the lattice with a
modified "Leibniz rule". The formulation we employ here is a three dimensional
extension of the manifestly gauge covariant method which was developed in our
previous proposal of Dirac-K\"ahler twisted N=2 super Yang-Mills on a two
dimensional lattice. The twisted N=4 supersymmetry algebra is geometrically
realized on a three dimensional lattice with link supercharges and the use of
"shifted" (anti-)commutators. A possible solution to the recent critiques on
the link formulation will be discussed.
| hep-lat hep-th | a lattice formulation of a three dimensional super yangmills model with a twisted n4 supersymmetry is proposed the extended supersymmetry algebra of all eight supercharges is fully and exactly realized on the lattice with a modified leibniz rule the formulation we employ here is a three dimensional extension of the manifestly gauge covariant method which was developed in our previous proposal of dirackahler twisted n2 super yangmills on a two dimensional lattice the twisted n4 supersymmetry algebra is geometrically realized on a three dimensional lattice with link supercharges and the use of shifted anticommutators a possible solution to the recent critiques on the link formulation will be discussed | [['a', 'lattice', 'formulation', 'of', 'a', 'three', 'dimensional', 'super', 'yangmills', 'model', 'with', 'a', 'twisted', 'n4', 'supersymmetry', 'is', 'proposed', 'the', 'extended', 'supersymmetry', 'algebra', 'of', 'all', 'eight', 'supercharges', 'is', 'fully', 'and', 'exactly', 'realized', 'on', 'the', 'lattice', 'with', 'a', 'modified', 'leibniz', 'rule', 'the', 'formulation', 'we', 'employ', 'here', 'is', 'a', 'three', 'dimensional', 'extension', 'of', 'the', 'manifestly', 'gauge', 'covariant', 'method', 'which', 'was', 'developed', 'in', 'our', 'previous', 'proposal', 'of', 'dirackahler', 'twisted', 'n2', 'super', 'yangmills', 'on', 'a', 'two', 'dimensional', 'lattice', 'the', 'twisted', 'n4', 'supersymmetry', 'algebra', 'is', 'geometrically', 'realized', 'on', 'a', 'three', 'dimensional', 'lattice', 'with', 'link', 'supercharges', 'and', 'the', 'use', 'of', 'shifted', 'anticommutators', 'a', 'possible', 'solution', 'to', 'the', 'recent', 'critiques', 'on', 'the', 'link', 'formulation', 'will', 'be', 'discussed']] | [-0.14165754991376567, 0.1507309133756078, -0.06758936797268689, 0.04467912799144095, -0.0938936291926506, -0.17418324530849028, -0.025753351820943255, 0.37817285277156365, -0.1735388860710103, -0.2120268131709761, 0.15155420348768261, -0.22876474701506258, -0.19717156718036644, 0.08271747735044402, -0.05678007039198376, 0.051069247277660504, 0.042025399762981884, 0.08716620945509661, -0.14428483626721167, -0.3251157449170326, 0.3282394011470455, -0.020819220148647826, 0.27858232343310696, 0.005415719433653134, 0.16064993329173713, 0.004210687259695044, -0.00446660246665555, 0.03629053421146064, -0.08725343576063299, 0.1852977982532509, 0.17680290841531973, 0.002506559546519485, 0.11579320788452471, -0.41939172858406826, -0.2099445142990185, 0.027793792016045364, 0.1304374150155733, 0.10035870801463413, 0.0032206951094411597, -0.24702534183031982, -0.0015571851766219846, -0.2338981009778325, -0.17069211307831142, -0.07990346370368367, -0.04057068726763612, -0.16516530711669475, -0.2708489580804275, 0.037775675731676596, 0.009572824517144236, 0.07069329935539928, -0.04544444410216615, -0.09813637230803983, -0.08995595237852454, -0.008203588995254703, 0.009717072695450581, 0.0648205730960601, 0.0546743936051994, -0.1246245628413076, -0.23017561043336712, 0.40675546742837737, -0.023047464158110046, -0.2728237109603705, 0.19532065460009984, -0.12456020885104037, -0.22931653009382663, 0.07506498258940324, 0.06113247246550465, 0.16311653087743455, -0.13056539998527755, 0.201034304533904, -0.14361094671336036, 0.11601747936112117, 0.08343921973439003, -0.029005350562295428, 0.2285274349808417, 0.1631925663979793, 0.05044293837811522, 0.15611450210174857, 0.010108689734436295, -0.1469082891627396, -0.4002425965542595, -0.17583302669636733, -0.1480349596531596, 0.12601341134049343, -0.09277297612425173, -0.12253826209861371, 0.3872440602130222, 0.09374432860123408, 0.1429917189223623, 0.054429944321883444, 0.21330477471066708, 0.13469220478523145, 0.13924190511978748, 0.01142764134608485, 0.20518929911432443, 0.20200917616064004, 0.06666852591054824, -0.23621655357742888, -0.22113628314131079, 0.2701316174115399] |
709.0723 | Viscous regularization and r-adaptive remeshing for finite element
analysis of lipid membrane mechanics | As two-dimensional fluid shells, lipid bilayer membranes resist bending and
stretching but are unable to sustain shear stresses. This property gives
membranes the ability to adopt dramatic shape changes. In this paper, a finite
element model is developed to study static equilibrium mechanics of membranes.
In particular, a viscous regularization method is proposed to stabilize
tangential mesh deformations and improve the convergence rate of nonlinear
solvers. The Augmented Lagrangian method is used to enforce global constraints
on area and volume during membrane deformations. As a validation of the method,
equilibrium shapes for a shape-phase diagram of lipid bilayer vesicle are
calculated. These numerical techniques are also shown to be useful for
simulations of three-dimensional large-deformation problems: the formation of
tethers (long tube-like exetensions); and Ginzburg-Landau phase separation of a
two-lipid-component vesicle. To deal with the large mesh distortions of the
two-phase model, modification of vicous regularization is explored to achieve
r-adaptive mesh optimization.
| physics.bio-ph physics.comp-ph | as twodimensional fluid shells lipid bilayer membranes resist bending and stretching but are unable to sustain shear stresses this property gives membranes the ability to adopt dramatic shape changes in this paper a finite element model is developed to study static equilibrium mechanics of membranes in particular a viscous regularization method is proposed to stabilize tangential mesh deformations and improve the convergence rate of nonlinear solvers the augmented lagrangian method is used to enforce global constraints on area and volume during membrane deformations as a validation of the method equilibrium shapes for a shapephase diagram of lipid bilayer vesicle are calculated these numerical techniques are also shown to be useful for simulations of threedimensional largedeformation problems the formation of tethers long tubelike exetensions and ginzburglandau phase separation of a twolipidcomponent vesicle to deal with the large mesh distortions of the twophase model modification of vicous regularization is explored to achieve radaptive mesh optimization | [['as', 'twodimensional', 'fluid', 'shells', 'lipid', 'bilayer', 'membranes', 'resist', 'bending', 'and', 'stretching', 'but', 'are', 'unable', 'to', 'sustain', 'shear', 'stresses', 'this', 'property', 'gives', 'membranes', 'the', 'ability', 'to', 'adopt', 'dramatic', 'shape', 'changes', 'in', 'this', 'paper', 'a', 'finite', 'element', 'model', 'is', 'developed', 'to', 'study', 'static', 'equilibrium', 'mechanics', 'of', 'membranes', 'in', 'particular', 'a', 'viscous', 'regularization', 'method', 'is', 'proposed', 'to', 'stabilize', 'tangential', 'mesh', 'deformations', 'and', 'improve', 'the', 'convergence', 'rate', 'of', 'nonlinear', 'solvers', 'the', 'augmented', 'lagrangian', 'method', 'is', 'used', 'to', 'enforce', 'global', 'constraints', 'on', 'area', 'and', 'volume', 'during', 'membrane', 'deformations', 'as', 'a', 'validation', 'of', 'the', 'method', 'equilibrium', 'shapes', 'for', 'a', 'shapephase', 'diagram', 'of', 'lipid', 'bilayer', 'vesicle', 'are', 'calculated', 'these', 'numerical', 'techniques', 'are', 'also', 'shown', 'to', 'be', 'useful', 'for', 'simulations', 'of', 'threedimensional', 'largedeformation', 'problems', 'the', 'formation', 'of', 'tethers', 'long', 'tubelike', 'exetensions', 'and', 'ginzburglandau', 'phase', 'separation', 'of', 'a', 'twolipidcomponent', 'vesicle', 'to', 'deal', 'with', 'the', 'large', 'mesh', 'distortions', 'of', 'the', 'twophase', 'model', 'modification', 'of', 'vicous', 'regularization', 'is', 'explored', 'to', 'achieve', 'radaptive', 'mesh', 'optimization']] | [-0.11486095663548136, 0.0742252087344726, -0.10733245829275499, 0.026467891947055858, -0.06649745302895704, -0.15587557995381454, -0.0343905872766239, 0.3850403590500355, -0.30126532051712274, -0.2806617964742084, 0.07191946177898596, -0.20893726853653788, -0.16832370518085857, 0.11553442784585059, -0.0916645177360624, 0.10348651169178387, 0.05125399200323348, -0.070898694836845, -0.0668655876753231, -0.19879053661599755, 0.2357351885549724, 0.068302796172599, 0.3112476843347152, 0.07506287627543012, 0.0911508931729865, -0.06434430665336549, 0.026333737842117746, 0.1129575234092772, -0.22092862373838823, 0.08997641286895183, 0.23737941298575607, -0.020062617662673195, 0.2383927407146742, -0.48579983368515967, -0.2770148524414981, 0.06387657444613676, 0.16458876829594374, 0.1573489583345751, -0.02568268084190398, -0.2204178514579932, 0.10667464341347416, -0.17001157116144897, -0.13650125961285084, -0.126354008850952, -0.00983612371608615, 0.054423371800221505, -0.27616601100812355, 0.12501010973996018, 0.029615609056393925, 0.04375993136006097, -0.12231861149116109, -0.04759136642639836, -0.06453276060832043, 0.09767663929689055, 0.07767700711730868, 0.04441411173747232, 0.2230427550462385, -0.12121421614040931, -0.05399952759112542, 0.4325090109060208, 0.0055379050721724825, -0.2805226694544156, 0.18531120153454442, -0.07283951911143959, -0.08185207821428776, 0.1873069602297619, 0.2109733835219716, 0.1314411306194961, -0.1287386686789493, 0.041779599632136524, 0.025284064901837457, 0.17426150871595988, 0.08460945101765295, -0.06326874903713664, 0.18849368885314713, 0.2221219310335194, 0.0802878376469016, 0.16272278998512774, -0.08428318698162912, -0.13648585313931108, -0.2598478052206337, -0.14317429827215772, -0.15516796386490264, -0.016372984905416766, -0.10686644731671549, -0.2585878645727644, 0.34044490947936235, 0.09478307554808756, 0.14927248077389474, 0.045717984813575946, 0.2737475444469601, 0.013221467775292695, 0.07519930341746658, -0.008257514930640657, 0.2648805712031511, 0.16474653379370768, 0.12914017220726237, -0.263257016337011, 0.021158539010211825, 0.1202509821097677] |
709.0724 | From Time-symmetric Microscopic Dynamics to Time-asymmetric Macroscopic
Behavior: An Overview | Time-asymmetric behavior as embodied in the second law of thermodynamics is
observed in {\it individual macroscopic} systems. It can be understood as
arising naturally from time-symmetric microscopic laws when account is taken of
a) the great disparity between microscopic and macroscopic scales, b) a low
entropy state of the early universe, and c) the fact that what we observe is
the behavior of systems coming from such an initial state--not all possible
systems. The explanation of the origin of the second law based on these
ingredients goes back to Maxwell, Thomson and particularly Boltzmann. Common
alternate explanations, such as those based on the ergodic or mixing properties
of probability distributions (ensembles) already present for chaotic dynamical
systems having only a few degrees of freedom or on the impossibility of having
a truly isolated system, are either unnecessary, misguided or misleading.
Specific features of macroscopic evolution, such as the diffusion equation, do
however depend on the dynamical instability (deterministic chaos) of
trajectories of isolated macroscopic systems.
The extensions of these classical notions to the quantum world is in many
ways fairly direct. It does however also bring in some new problems. These will
be discussed but not resolved.
| cond-mat.stat-mech | timeasymmetric behavior as embodied in the second law of thermodynamics is observed in it individual macroscopic systems it can be understood as arising naturally from timesymmetric microscopic laws when account is taken of a the great disparity between microscopic and macroscopic scales b a low entropy state of the early universe and c the fact that what we observe is the behavior of systems coming from such an initial statenot all possible systems the explanation of the origin of the second law based on these ingredients goes back to maxwell thomson and particularly boltzmann common alternate explanations such as those based on the ergodic or mixing properties of probability distributions ensembles already present for chaotic dynamical systems having only a few degrees of freedom or on the impossibility of having a truly isolated system are either unnecessary misguided or misleading specific features of macroscopic evolution such as the diffusion equation do however depend on the dynamical instability deterministic chaos of trajectories of isolated macroscopic systems the extensions of these classical notions to the quantum world is in many ways fairly direct it does however also bring in some new problems these will be discussed but not resolved | [['timeasymmetric', 'behavior', 'as', 'embodied', 'in', 'the', 'second', 'law', 'of', 'thermodynamics', 'is', 'observed', 'in', 'it', 'individual', 'macroscopic', 'systems', 'it', 'can', 'be', 'understood', 'as', 'arising', 'naturally', 'from', 'timesymmetric', 'microscopic', 'laws', 'when', 'account', 'is', 'taken', 'of', 'a', 'the', 'great', 'disparity', 'between', 'microscopic', 'and', 'macroscopic', 'scales', 'b', 'a', 'low', 'entropy', 'state', 'of', 'the', 'early', 'universe', 'and', 'c', 'the', 'fact', 'that', 'what', 'we', 'observe', 'is', 'the', 'behavior', 'of', 'systems', 'coming', 'from', 'such', 'an', 'initial', 'statenot', 'all', 'possible', 'systems', 'the', 'explanation', 'of', 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709.0725 | Theory of spin Hall effect | An extension of Drude model is proposed that accounts for spin and spin-orbit
interaction of charge carriers. Spin currents appear due to combined action of
the external electric field, crystal field and scattering of charge carriers.
The expression for spin Hall conductivity is derived for metals and
semiconductors that is independent of the scattering mechanism. In cubic
metals, spin Hall conductivity $\sigma_s$ and charge conductivity $\sigma_c$
are related through $\sigma_s = [2 \pi \hbar/(3mc^2)]\sigma_c^2$ with $m$ being
the bare electron mass. Theoretically computed value is in agreement with
experiment.
| cond-mat.mes-hall | an extension of drude model is proposed that accounts for spin and spinorbit interaction of charge carriers spin currents appear due to combined action of the external electric field crystal field and scattering of charge carriers the expression for spin hall conductivity is derived for metals and semiconductors that is independent of the scattering mechanism in cubic metals spin hall conductivity sigma_s and charge conductivity sigma_c are related through sigma_s 2 pi hbar3mc2sigma_c2 with m being the bare electron mass theoretically computed value is in agreement with experiment | [['an', 'extension', 'of', 'drude', 'model', 'is', 'proposed', 'that', 'accounts', 'for', 'spin', 'and', 'spinorbit', 'interaction', 'of', 'charge', 'carriers', 'spin', 'currents', 'appear', 'due', 'to', 'combined', 'action', 'of', 'the', 'external', 'electric', 'field', 'crystal', 'field', 'and', 'scattering', 'of', 'charge', 'carriers', 'the', 'expression', 'for', 'spin', 'hall', 'conductivity', 'is', 'derived', 'for', 'metals', 'and', 'semiconductors', 'that', 'is', 'independent', 'of', 'the', 'scattering', 'mechanism', 'in', 'cubic', 'metals', 'spin', 'hall', 'conductivity', 'sigma_s', 'and', 'charge', 'conductivity', 'sigma_c', 'are', 'related', 'through', 'sigma_s', '2', 'pi', 'hbar3mc2sigma_c2', 'with', 'm', 'being', 'the', 'bare', 'electron', 'mass', 'theoretically', 'computed', 'value', 'is', 'in', 'agreement', 'with', 'experiment']] | [-0.17016743390617528, 0.24750251115996247, 0.0007800121267122784, -1.9024570483243327e-05, -0.017870104400676556, -0.17385920207819033, 0.016267345353811122, 0.37640975822491207, -0.22441361095199638, -0.2619739895707917, -0.03804157754866642, -0.3634065281514121, -0.1088100569643851, 0.18815829767042708, 0.0616579395049819, -0.009845101445827675, -0.08320737012726223, -0.021548840345750594, -0.058805994898209285, -0.17505340402860237, 0.2781965782030903, -0.006291513218833455, 0.29838390543992666, 0.14601895624193653, 0.06241525799549859, 0.07838624199830938, 0.0673191848354168, 0.04483098128339511, -0.09975666103796932, 0.03273630273881657, 0.2407073911778554, -0.16497463924783862, 0.07949658207616758, -0.4338093487674306, -0.1777742545504455, -0.01402187041253194, 0.10012697078951302, 0.17436079113562217, -0.08754522931473009, -0.21975148277291653, 0.0374159019108562, -0.1944890370105404, -0.15240709811192135, -0.08816851285853605, 0.0914791966815233, -0.07099538939287779, -0.32043466099334517, 0.1686980623414676, 0.03871270265944045, 0.04624555554326581, -0.14101281171616423, -0.2082859695080839, -0.09175208197028815, 0.05095199867012514, 0.11364490965825516, 0.10566439436770034, 0.2336361234400143, -0.18533785204435216, -0.1303703184212804, 0.36351738677456463, -0.09491832637838249, -0.1731568823793325, 0.10046849660735963, -0.21265946588500392, 0.052024253836736596, 0.19559851621716529, 0.09455857728808668, 0.05548465517403065, -0.17149788814586128, 0.13269657054755452, -0.03955144876207428, 0.14967429390760545, 0.03098210953068973, 0.0858055237651737, 0.28034875210074856, 0.1679518667809751, 0.007724890817256494, 0.05515092326563665, -0.12588679741254483, -0.008415633271951443, -0.2226253030821681, -0.18316791456021453, -0.26796218778552683, 0.1224092289901756, -0.07233737189063118, -0.12406668224339855, 0.369848539833322, 0.16275638772238946, 0.14136210639008331, -0.02019816114642154, 0.26591199897657863, 0.18485821261145602, 0.106361775150544, 0.051783470886534656, 0.2271720840001543, 0.2700931518927388, 0.0998318701093995, -0.3687994047737113, 0.04471128622816618, 0.029151781515657216] |
709.0726 | Inducing the Lovelock action | We re-analyze a possible ambiguity in the application of dimensional
regularization to Einstein-Gauss-Bonnet gravity, arising from the way one
treats the Gauss-Bonnet term. It is demonstrated that the addition of such a
term to the action gives rise to a non-minimal graviton wave operator, but does
not produce new on shell divergences at one loop order in d=4. However, from a
d-dimensional perspective the Gauss-Bonnet term is shown to generate new
divergences in the form of the six-dimensional Euler density. The conjecture
that one would next produce the eight-dimensional Euler term is shown to be
false.
| gr-qc hep-th | we reanalyze a possible ambiguity in the application of dimensional regularization to einsteingaussbonnet gravity arising from the way one treats the gaussbonnet term it is demonstrated that the addition of such a term to the action gives rise to a nonminimal graviton wave operator but does not produce new on shell divergences at one loop order in d4 however from a ddimensional perspective the gaussbonnet term is shown to generate new divergences in the form of the sixdimensional euler density the conjecture that one would next produce the eightdimensional euler term is shown to be false | [['we', 'reanalyze', 'a', 'possible', 'ambiguity', 'in', 'the', 'application', 'of', 'dimensional', 'regularization', 'to', 'einsteingaussbonnet', 'gravity', 'arising', 'from', 'the', 'way', 'one', 'treats', 'the', 'gaussbonnet', 'term', 'it', 'is', 'demonstrated', 'that', 'the', 'addition', 'of', 'such', 'a', 'term', 'to', 'the', 'action', 'gives', 'rise', 'to', 'a', 'nonminimal', 'graviton', 'wave', 'operator', 'but', 'does', 'not', 'produce', 'new', 'on', 'shell', 'divergences', 'at', 'one', 'loop', 'order', 'in', 'd4', 'however', 'from', 'a', 'ddimensional', 'perspective', 'the', 'gaussbonnet', 'term', 'is', 'shown', 'to', 'generate', 'new', 'divergences', 'in', 'the', 'form', 'of', 'the', 'sixdimensional', 'euler', 'density', 'the', 'conjecture', 'that', 'one', 'would', 'next', 'produce', 'the', 'eightdimensional', 'euler', 'term', 'is', 'shown', 'to', 'be', 'false']] | [-0.152164069666469, 0.0974663527837644, -0.10948075135790229, 0.12707053053964046, -0.1581534094948438, -0.15633716664403133, -0.04667787348929172, 0.25929361923772376, -0.23527548515509503, -0.2543557558286314, 0.06682635258645557, -0.2909618441766118, -0.18436471797758713, 0.15207508417370263, -0.10422171528625768, -0.01251174698700197, 0.01335346974034716, 0.0900647646485595, -0.0685910221903517, -0.2834608536407662, 0.3842163528315723, 0.024621906721828662, 0.21836011514460552, 0.07902250146435108, 0.1540066810363593, -0.05839247776020784, -0.009766626598623892, 0.038914404140086845, -0.09767772233635696, 0.0862521330503417, 0.2107124839045961, 0.0486763601511484, 0.2189898458677059, -0.3909014331099267, -0.27021186893155874, 0.08351649936715451, 0.1380043931712862, 0.1781872901095388, -0.025087328643470148, -0.23214906448265538, 0.03371061573852785, -0.21667110509588383, -0.15978205315574692, -0.09679944252517696, 0.007575475940636049, -0.1230337558293589, -0.30781801013411797, 0.06512748645036481, 0.04153471022921925, -0.06976288946073812, -0.04792916572720666, -0.06868072257445117, -0.03025316036170504, 0.0833795449725585, 0.15930598041207608, 0.11576940259935024, 0.04904223651101347, -0.1513382750664126, -0.10030255566622752, 0.4030051481289168, -0.12900379526763572, -0.24649716403412944, 0.15877066920317398, -0.15720322192889094, -0.12563202648016158, 0.13592924711701926, 0.11193733965046704, 0.1432480517833028, -0.14029943556912863, 0.16203475818232013, 0.009658046545913143, 0.16570465080440044, 0.12800357864277126, 0.04615006080227128, 0.222399184734968, 0.06190428550083501, 0.08932073287238988, 0.15606873230596344, -0.07291158541678062, -0.12705589270687292, -0.37849411834031343, -0.17144577138242312, -0.15488143476492647, 0.11675255966171487, -0.08597974680985014, -0.21340343938391015, 0.36352757276957465, 0.15193541831771049, 0.14776805616080915, 0.058447468628097944, 0.24165653578044535, 0.1341007828207997, 0.1525063144217711, 0.049648826539244816, 0.2743152931992275, 0.09893964237805146, 0.08009726221644087, -0.2241671440230372, -0.033939627818957284, 0.16519786062660083] |
709.0727 | Probing the doping in metallic and semiconducting carbon nanotubes by
Raman and transport measurements | In-situ Raman experiments together with transport measurements have been
carried out on carbon nanotubes as a function of gate voltage. In metallic
tubes, a large increase in the Raman frequency of the $G^-$ band, accompanied
by a substantial decrease of its line-width, is observed with electron or hole
doping. In addition, we see an increase in Raman frequency of the $G^+$ band in
semiconducting tubes. These results are quantitatively explained using
ab-initio calculations that take into account effects beyond the adiabatic
approximation. Our results imply that Raman spectroscopy can be used as an
accurate measure of the doping of both metallic and semiconducting nanotubes.
| cond-mat.mes-hall cond-mat.str-el | insitu raman experiments together with transport measurements have been carried out on carbon nanotubes as a function of gate voltage in metallic tubes a large increase in the raman frequency of the g band accompanied by a substantial decrease of its linewidth is observed with electron or hole doping in addition we see an increase in raman frequency of the g band in semiconducting tubes these results are quantitatively explained using abinitio calculations that take into account effects beyond the adiabatic approximation our results imply that raman spectroscopy can be used as an accurate measure of the doping of both metallic and semiconducting nanotubes | [['insitu', 'raman', 'experiments', 'together', 'with', 'transport', 'measurements', 'have', 'been', 'carried', 'out', 'on', 'carbon', 'nanotubes', 'as', 'a', 'function', 'of', 'gate', 'voltage', 'in', 'metallic', 'tubes', 'a', 'large', 'increase', 'in', 'the', 'raman', 'frequency', 'of', 'the', 'g', 'band', 'accompanied', 'by', 'a', 'substantial', 'decrease', 'of', 'its', 'linewidth', 'is', 'observed', 'with', 'electron', 'or', 'hole', 'doping', 'in', 'addition', 'we', 'see', 'an', 'increase', 'in', 'raman', 'frequency', 'of', 'the', 'g', 'band', 'in', 'semiconducting', 'tubes', 'these', 'results', 'are', 'quantitatively', 'explained', 'using', 'abinitio', 'calculations', 'that', 'take', 'into', 'account', 'effects', 'beyond', 'the', 'adiabatic', 'approximation', 'our', 'results', 'imply', 'that', 'raman', 'spectroscopy', 'can', 'be', 'used', 'as', 'an', 'accurate', 'measure', 'of', 'the', 'doping', 'of', 'both', 'metallic', 'and', 'semiconducting', 'nanotubes']] | [-0.09982333406626892, 0.1575414650659905, -0.06250157965741192, -0.02707813345142103, 0.02387501334753604, -0.1340919826627494, 0.1419139254050186, 0.4976034899457143, -0.21914538768648456, -0.2918909363842641, 0.0058407045244866125, -0.3188672332482663, -0.1116649421724455, 0.23959204997831526, 0.011664610382957527, 0.01456732644440378, 0.06795894058170514, -0.09264870167960627, -0.08891160616454166, -0.1797054281520944, 0.21290392616692072, 0.08217750364341415, 0.2937650991393289, 0.13864369611166275, 0.011952594101715546, -0.017661162468497284, 0.03861928406807307, 0.06554235910208753, -0.11537234692975919, 0.025843440026689608, 0.3040249199996022, -0.09062931449555506, 0.2327637085870195, -0.5130618814414797, -0.2425251285581348, -0.006553269210808839, 0.16109826856364423, 0.11038193099487287, -0.05330167271649071, -0.264528960446254, 0.04930020102675861, -0.16377407311497685, -0.09296316251017672, -0.1145625626310133, -0.018262107552100833, 0.02407750908213739, -0.2186421196831641, 0.07460638664241952, 0.04309752917526147, 0.07844910363026149, -0.11829397296465825, -0.12181948956388694, -0.07570776969917531, 0.0731571945342204, 0.04940222938659225, 0.029754385562577788, 0.2222707913897466, -0.05554055969696492, -0.12154417348882326, 0.3666854047109015, -0.12707989231253472, -0.05953758374716227, 0.12038983892013605, -0.20036366322668842, -0.05131148114854183, 0.2015599595839516, 0.0960128574918669, 0.09149184292003226, -0.11024213492950927, 0.03953363331507157, -0.02212678043780705, 0.1879148543633234, 0.08654224857813321, 0.08792362173195355, 0.23926729874577946, 0.20901341167224857, 0.01395436100070723, 0.11330390718984955, -0.136054608149257, 0.057990847065901525, -0.21090009733318135, -0.16484344394330736, -0.21729678601528016, 0.08912673369139576, -0.07956188066866442, -0.1863285950743235, 0.3908519317718366, 0.1187166058852409, 0.18870939190786046, -0.0554510947482553, 0.25674629557089734, 0.16804180048235978, 0.1208517507329816, -0.02290529665053607, 0.30168511919104135, 0.20152016824487454, 0.0767373261668791, -0.2968511921219313, 0.04229123822789496, -0.05849013145780191] |
709.0728 | Coherent pion production in neutrino-nucleus collisions | We have investigated the neutrino induced coherent pion production reaction
at low and intermediate energies including pion, nucleon and Delta(1232)
resonance. Medium effects in the production mechanism and the distortion of the
pion wave function are included in the calculation. We find a strong reduction
of the cross section due to these effects and also substantial modifications in
the energy distributions of the final pion. The dependence on the atomic number
is discussed.
| nucl-th hep-ex nucl-ex | we have investigated the neutrino induced coherent pion production reaction at low and intermediate energies including pion nucleon and delta1232 resonance medium effects in the production mechanism and the distortion of the pion wave function are included in the calculation we find a strong reduction of the cross section due to these effects and also substantial modifications in the energy distributions of the final pion the dependence on the atomic number is discussed | [['we', 'have', 'investigated', 'the', 'neutrino', 'induced', 'coherent', 'pion', 'production', 'reaction', 'at', 'low', 'and', 'intermediate', 'energies', 'including', 'pion', 'nucleon', 'and', 'delta1232', 'resonance', 'medium', 'effects', 'in', 'the', 'production', 'mechanism', 'and', 'the', 'distortion', 'of', 'the', 'pion', 'wave', 'function', 'are', 'included', 'in', 'the', 'calculation', 'we', 'find', 'a', 'strong', 'reduction', 'of', 'the', 'cross', 'section', 'due', 'to', 'these', 'effects', 'and', 'also', 'substantial', 'modifications', 'in', 'the', 'energy', 'distributions', 'of', 'the', 'final', 'pion', 'the', 'dependence', 'on', 'the', 'atomic', 'number', 'is', 'discussed']] | [-0.1037087081548796, 0.23680466072225612, -0.05825174379534063, 0.18219231399037708, 0.011851653058005318, -0.004655185608473951, 0.06527167769812353, 0.33847286453955383, -0.20207562233155515, -0.2547952868809847, -0.052363513967290214, -0.33911815593146705, -0.033938700645804815, 0.12749858751688917, 0.12585299832695354, 0.07184927666253627, 0.05502455065358583, 0.0279019737156899, -0.05302266120808582, -0.17965276598490212, 0.38669469309588, 0.11520555440642655, 0.2523305820020503, 0.2663813764739731, 0.09688382053569164, 0.05607561112942863, -0.06502989729808975, -0.0744823305165931, -0.13503984019976772, 0.054050402001362956, 0.20090522861414373, 0.018886009007947496, 0.13494226963527195, -0.3893128411257512, -0.16249506555701773, 0.10239265761529542, 0.12356793411651766, 0.18162537981079865, -0.0805696093091384, -0.2428362488918874, 0.057726679965837746, -0.2327633110729799, -0.10970402888360446, -0.07495565148555253, 0.005769395786146186, 0.052268371840760317, -0.2746575571060793, 0.09424705222553624, -0.021055964402191034, 0.03210288156716995, -0.09740093781625571, -0.22740536648780107, -0.039737296364053265, 0.06241449259527742, 0.12136141153065207, 0.04694730258899205, 0.200024367657758, -0.1856738515836123, -0.08110643798255757, 0.4165213347144731, -0.06226893264659974, -0.1764610820284037, 0.1154106613631322, -0.21807578237956926, -0.10337956591305157, 0.20907297660277724, 0.23726387597199478, 0.03656908718881848, -0.14976454575941578, 0.05733800703725037, 0.01569241088873241, 0.15677638019575443, 0.1267498650281907, 0.10853492446588225, 0.13833502358565591, 0.18311379462072294, -0.04571581163367078, 0.0932408636053131, -0.136140251490734, -0.08924211030953551, -0.3814964053565509, -0.07830251271083746, -0.06393738064200502, 0.05337204937308816, -0.05992661110262629, -0.11009302547150483, 0.3672463088041197, 0.06300415929521702, 0.2518924691918472, -0.07641361991887631, 0.32583756974502787, 0.15247667727558173, 0.09147289969435293, 0.04395222687481405, 0.32735094703631856, 0.19672244679093462, 0.13135995041604523, -0.3044136987220853, 0.043694936753288935, -0.00034553054018481954] |
709.0729 | Topological phases and topological entropy of two-dimensional systems
with finite correlation length | We elucidate the topological features of the entanglement entropy of a region
in two dimensional quantum systems in a topological phase with a finite
correlation length $\xi$. Firstly, we suggest that simpler reduced quantities,
related to the von Neumann entropy, could be defined to compute the topological
entropy. We use our methods to compute the entanglement entropy for the ground
state wave function of a quantum eight-vertex model in its topological phase,
and show that a finite correlation length adds corrections of the same order as
the topological entropy which come from sharp features of the boundary of the
region under study. We also calculate the topological entropy for the ground
state of the quantum dimer model on a triangular lattice by using a mapping to
a loop model. The topological entropy of the state is determined by loop
configurations with a non-trivial winding number around the region under study.
Finally, we consider extensions of the Kitaev wave function, which incorporate
the effects of electric and magnetic charge fluctuations, and use it to
investigate the stability of the topological phase by calculating the
topological entropy.
| cond-mat.str-el | we elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length xi firstly we suggest that simpler reduced quantities related to the von neumann entropy could be defined to compute the topological entropy we use our methods to compute the entanglement entropy for the ground state wave function of a quantum eightvertex model in its topological phase and show that a finite correlation length adds corrections of the same order as the topological entropy which come from sharp features of the boundary of the region under study we also calculate the topological entropy for the ground state of the quantum dimer model on a triangular lattice by using a mapping to a loop model the topological entropy of the state is determined by loop configurations with a nontrivial winding number around the region under study finally we consider extensions of the kitaev wave function which incorporate the effects of electric and magnetic charge fluctuations and use it to investigate the stability of the topological phase by calculating the topological entropy | [['we', 'elucidate', 'the', 'topological', 'features', 'of', 'the', 'entanglement', 'entropy', 'of', 'a', 'region', 'in', 'two', 'dimensional', 'quantum', 'systems', 'in', 'a', 'topological', 'phase', 'with', 'a', 'finite', 'correlation', 'length', 'xi', 'firstly', 'we', 'suggest', 'that', 'simpler', 'reduced', 'quantities', 'related', 'to', 'the', 'von', 'neumann', 'entropy', 'could', 'be', 'defined', 'to', 'compute', 'the', 'topological', 'entropy', 'we', 'use', 'our', 'methods', 'to', 'compute', 'the', 'entanglement', 'entropy', 'for', 'the', 'ground', 'state', 'wave', 'function', 'of', 'a', 'quantum', 'eightvertex', 'model', 'in', 'its', 'topological', 'phase', 'and', 'show', 'that', 'a', 'finite', 'correlation', 'length', 'adds', 'corrections', 'of', 'the', 'same', 'order', 'as', 'the', 'topological', 'entropy', 'which', 'come', 'from', 'sharp', 'features', 'of', 'the', 'boundary', 'of', 'the', 'region', 'under', 'study', 'we', 'also', 'calculate', 'the', 'topological', 'entropy', 'for', 'the', 'ground', 'state', 'of', 'the', 'quantum', 'dimer', 'model', 'on', 'a', 'triangular', 'lattice', 'by', 'using', 'a', 'mapping', 'to', 'a', 'loop', 'model', 'the', 'topological', 'entropy', 'of', 'the', 'state', 'is', 'determined', 'by', 'loop', 'configurations', 'with', 'a', 'nontrivial', 'winding', 'number', 'around', 'the', 'region', 'under', 'study', 'finally', 'we', 'consider', 'extensions', 'of', 'the', 'kitaev', 'wave', 'function', 'which', 'incorporate', 'the', 'effects', 'of', 'electric', 'and', 'magnetic', 'charge', 'fluctuations', 'and', 'use', 'it', 'to', 'investigate', 'the', 'stability', 'of', 'the', 'topological', 'phase', 'by', 'calculating', 'the', 'topological', 'entropy']] | [-0.16127130326034653, 0.19975511116806316, -0.10171368733123952, 0.07995540038367885, 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-0.299023893960072, 0.027568853563452896, 0.15074490662286613] |
709.073 | The Star Formation and Extinction Co-Evolution of UV-Selected Galaxies
over 0.05<z<1.2 | We use a new stacking technique to obtain mean mid IR and far IR to far UV
flux ratios over the rest near-UV/near-IR color-magnitude diagram. We employ
COMBO-17 redshifts and COMBO-17 optical, GALEX far and near UV, Spitzer IRAC
and MIPS Mid IR photometry. This technique permits us to probe infrared excess
(IRX), the ratio of far IR to far UV luminosity, and specific star formation
rate (SSFR) and their co-evolution over two orders of magnitude of stellar mass
and redshift 0.1<z<1.2. We find that the SSFR and the characteristic mass (M_0)
above which the SSFR drops increase with redshift (downsizing). At any given
epoch, IRX is an increasing function of mass up to M_0. Above this mass IRX
falls, suggesting gas exhaustion. In a given mass bin below M_0 IRX increases
with time in a fashion consistent with enrichment. We interpret these trends
using a simple model with a Schmidt-Kennicutt law and extinction that tracks
gas density and enrichment. We find that the average IRX and SSFR follows a
galaxy age parameter which is determined mainly by the galaxy mass and time
since formation. We conclude that blue sequence galaxies have properties which
show simple, systematic trends with mass and time such as the steady build-up
of heavy elements in the interstellar media of evolving galaxies and the
exhaustion of gas in galaxies that are evolving off the blue sequence. The IRX
represents a tool for selecting galaxies at various stages of evolution.
| astro-ph | we use a new stacking technique to obtain mean mid ir and far ir to far uv flux ratios over the rest nearuvnearir colormagnitude diagram we employ combo17 redshifts and combo17 optical galex far and near uv spitzer irac and mips mid ir photometry this technique permits us to probe infrared excess irx the ratio of far ir to far uv luminosity and specific star formation rate ssfr and their coevolution over two orders of magnitude of stellar mass and redshift 01z12 we find that the ssfr and the characteristic mass m_0 above which the ssfr drops increase with redshift downsizing at any given epoch irx is an increasing function of mass up to m_0 above this mass irx falls suggesting gas exhaustion in a given mass bin below m_0 irx increases with time in a fashion consistent with enrichment we interpret these trends using a simple model with a schmidtkennicutt law and extinction that tracks gas density and enrichment we find that the average irx and ssfr follows a galaxy age parameter which is determined mainly by the galaxy mass and time since formation we conclude that blue sequence galaxies have properties which show simple systematic trends with mass and time such as the steady buildup of heavy elements in the interstellar media of evolving galaxies and the exhaustion of gas in galaxies that are evolving off the blue sequence the irx represents a tool for selecting galaxies at various stages of evolution | [['we', 'use', 'a', 'new', 'stacking', 'technique', 'to', 'obtain', 'mean', 'mid', 'ir', 'and', 'far', 'ir', 'to', 'far', 'uv', 'flux', 'ratios', 'over', 'the', 'rest', 'nearuvnearir', 'colormagnitude', 'diagram', 'we', 'employ', 'combo17', 'redshifts', 'and', 'combo17', 'optical', 'galex', 'far', 'and', 'near', 'uv', 'spitzer', 'irac', 'and', 'mips', 'mid', 'ir', 'photometry', 'this', 'technique', 'permits', 'us', 'to', 'probe', 'infrared', 'excess', 'irx', 'the', 'ratio', 'of', 'far', 'ir', 'to', 'far', 'uv', 'luminosity', 'and', 'specific', 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709.0731 | The Geometric Phase in Supersymmetric Quantum Mechanics | We explore the geometric phase in N=(2,2) supersymmetric quantum mechanics.
The Witten index ensures the existence of degenerate ground states, resulting
in a non-Abelian Berry connection. We exhibit a non-renormalization theorem
which prohibits the connection from receiving perturbative corrections.
However, we show that it does receive corrections from BPS instantons. We
compute the one-instanton contribution to the Berry connection for the massive
CP^1 sigma-model as the potential is varied. This system has two ground states
and the associated Berry connection is the smooth SU(2) 't Hooft-Polyakov
monopole.
| hep-th | we explore the geometric phase in n22 supersymmetric quantum mechanics the witten index ensures the existence of degenerate ground states resulting in a nonabelian berry connection we exhibit a nonrenormalization theorem which prohibits the connection from receiving perturbative corrections however we show that it does receive corrections from bps instantons we compute the oneinstanton contribution to the berry connection for the massive cp1 sigmamodel as the potential is varied this system has two ground states and the associated berry connection is the smooth su2 t hooftpolyakov monopole | [['we', 'explore', 'the', 'geometric', 'phase', 'in', 'n22', 'supersymmetric', 'quantum', 'mechanics', 'the', 'witten', 'index', 'ensures', 'the', 'existence', 'of', 'degenerate', 'ground', 'states', 'resulting', 'in', 'a', 'nonabelian', 'berry', 'connection', 'we', 'exhibit', 'a', 'nonrenormalization', 'theorem', 'which', 'prohibits', 'the', 'connection', 'from', 'receiving', 'perturbative', 'corrections', 'however', 'we', 'show', 'that', 'it', 'does', 'receive', 'corrections', 'from', 'bps', 'instantons', 'we', 'compute', 'the', 'oneinstanton', 'contribution', 'to', 'the', 'berry', 'connection', 'for', 'the', 'massive', 'cp1', 'sigmamodel', 'as', 'the', 'potential', 'is', 'varied', 'this', 'system', 'has', 'two', 'ground', 'states', 'and', 'the', 'associated', 'berry', 'connection', 'is', 'the', 'smooth', 'su2', 't', 'hooftpolyakov', 'monopole']] | [-0.21379546622007056, 0.18940070820115934, -0.12384588622498786, 0.14132330661516465, -0.09752497828469195, -0.14485401271617618, 0.0535727445512539, 0.29702192352249707, -0.17533601972477875, -0.27221234394344446, 0.04041430692391834, -0.31636583650934286, -0.24270544271787692, 0.06157251468848908, -0.08591933610538642, 0.019210924580425625, -0.00863020516525226, 0.05312030025136968, -0.13789353124401266, -0.20071281600829172, 0.3393367678154495, -0.05601505791880833, 0.26878907439438093, 0.08942878835208329, 0.07696988927093389, -0.008036528590895322, 0.025933805933414864, -0.04043594719413882, -0.11979299005772985, 0.06798735767704617, 0.19434234020353733, -0.006459985741938667, 0.11001254468299877, -0.4029201392897929, -0.20127068211634955, 0.1509277921453675, 0.13733742206261076, 0.1571126300881713, -0.02604055374154243, -0.3040154127553962, 0.04804465608221704, -0.1767569743953217, -0.17643851068154534, -0.12556842900812626, 0.026380673885859292, -0.115610658347703, -0.2059326266024219, 0.07912990937930071, 0.010231896506986398, -0.010098952858912191, -0.03432479320928968, -0.06869869365158823, -0.12894490378341456, 0.1247424830511298, 0.09301899789415043, 0.07423144320411415, 0.08952629699468098, -0.1847637386473388, -0.16715882661827336, 0.3485055959130498, -0.07031284178200381, -0.1917745885412455, 0.10628081443880139, -0.12872063996398758, -0.1710985960310389, 0.1401582507994668, 0.0768714565034399, 0.130786022182083, -0.04497761008511672, 0.2235797313517013, -0.02638554199994809, 0.10706703409809491, 0.05109228406786576, 0.06876945662735051, 0.268790605456579, 0.049469705084981073, 0.06832249107738507, 0.16687383275778814, -0.07276982893891654, -0.19861233289000288, -0.40605024948191626, -0.17125029466650182, -0.20213556380664138, 0.15820143872004902, -0.08581177823111046, -0.19682360497228374, 0.389640264448592, 0.10711596076826341, 0.16227969740271225, 0.044339458831457484, 0.20748701075027728, 0.1350267077294371, 0.05284290420876323, 0.06507113604437045, 0.2999508311094224, 0.23127171780175432, 0.09761644178872993, -0.2856227767402199, -0.137655823057967, 0.16287937683278117] |
709.0732 | Exact solution to the averaging problem in cosmology | The exact solution of a two-scale Buchert average of the Einstein equations
is derived for an inhomogeneous universe which represents a close approximation
to the observed universe. The two scales represent voids, and the bubble walls
surrounding them within which clusters of galaxies are located. As described
elsewhere [gr-qc/0702082], apparent cosmic acceleration can be recognised as a
consequence of quasilocal gravitational energy gradients between observers in
bound systems and the volume average position in freely expanding space. With
this interpretation, the new solution presented here replaces the Friedmann
solutions, in representing the average evolution of a matter-dominated universe
without exotic dark energy, while being observationally viable.
| gr-qc astro-ph hep-ph hep-th | the exact solution of a twoscale buchert average of the einstein equations is derived for an inhomogeneous universe which represents a close approximation to the observed universe the two scales represent voids and the bubble walls surrounding them within which clusters of galaxies are located as described elsewhere grqc0702082 apparent cosmic acceleration can be recognised as a consequence of quasilocal gravitational energy gradients between observers in bound systems and the volume average position in freely expanding space with this interpretation the new solution presented here replaces the friedmann solutions in representing the average evolution of a matterdominated universe without exotic dark energy while being observationally viable | [['the', 'exact', 'solution', 'of', 'a', 'twoscale', 'buchert', 'average', 'of', 'the', 'einstein', 'equations', 'is', 'derived', 'for', 'an', 'inhomogeneous', 'universe', 'which', 'represents', 'a', 'close', 'approximation', 'to', 'the', 'observed', 'universe', 'the', 'two', 'scales', 'represent', 'voids', 'and', 'the', 'bubble', 'walls', 'surrounding', 'them', 'within', 'which', 'clusters', 'of', 'galaxies', 'are', 'located', 'as', 'described', 'elsewhere', 'grqc0702082', 'apparent', 'cosmic', 'acceleration', 'can', 'be', 'recognised', 'as', 'a', 'consequence', 'of', 'quasilocal', 'gravitational', 'energy', 'gradients', 'between', 'observers', 'in', 'bound', 'systems', 'and', 'the', 'volume', 'average', 'position', 'in', 'freely', 'expanding', 'space', 'with', 'this', 'interpretation', 'the', 'new', 'solution', 'presented', 'here', 'replaces', 'the', 'friedmann', 'solutions', 'in', 'representing', 'the', 'average', 'evolution', 'of', 'a', 'matterdominated', 'universe', 'without', 'exotic', 'dark', 'energy', 'while', 'being', 'observationally', 'viable']] | [-0.13548312689222042, 0.11712222109629129, -0.1362081580307512, 0.12984071355035884, -0.0805790832687524, -0.06530515426947248, -0.028158808801145782, 0.324925022164271, -0.21903083363459225, -0.34076587446033957, 0.05016172047194448, -0.24213325834966132, -0.014666036356772695, 0.15448435036731617, 0.014596148804273634, -0.03566350187396719, -0.006068376067560166, 0.023365616487960022, -0.05202076009785136, -0.23302274791834254, 0.29826094628799527, 0.11425644221405189, 0.21921292788659533, -0.03597559495163816, 0.14127984303936716, -0.11427952385108386, -0.04576184807755496, 0.07406776229867579, -0.16049716492139157, 0.06840638036762053, 0.22263155324118478, 0.11207674018861283, 0.24322427048436587, -0.41633253078020754, -0.2334981828897504, 0.11461710354224557, 0.22327663732160416, 0.14411301720801498, -0.07892718582990624, -0.3237159383350185, 0.006060183380863496, -0.16668733112691414, -0.21219822139080083, 0.00941837152155737, 0.05071448509891828, 0.015227204037364573, -0.16938781586608717, 0.17886361335404216, -0.007537512596519221, -0.04360329987747329, -0.16216488079212252, -0.04759084518910164, -0.014956751909284364, 0.06927302520544756, 0.05488988892064386, 0.04686851105431006, 0.16529562816556012, -0.14509056565085693, -0.03513288691728598, 0.42053233377103294, -0.10759451104372385, -0.16386322169786408, 0.15231170435879557, -0.14820938077588966, -0.0862850427272774, 0.11631361327488862, 0.1147899319062985, 0.10135413455732521, -0.19244556802191903, 0.1051287403851997, 0.0007784409315458366, 0.14515868991812958, 0.12641395547515935, 0.03445489840315921, 0.31091724970333634, 0.15024715652356724, 0.06240037959955987, 0.0886831315173324, -0.035917839445894405, -0.12434347680814209, -0.367111889654327, -0.1802650291090166, -0.19202039951425312, 0.05497914001434332, -0.1663764380847126, -0.20140747963672592, 0.31399279326821367, 0.07768286732247189, 0.1764963641917954, 0.027565074887215383, 0.27082413562706537, 0.06139539110230371, 0.03867149268764825, 0.14701175162834781, 0.305243607681422, 0.11576077799268422, 0.12141054131179338, -0.20199924432894303, 0.041971096560536394, 0.07820760398837072] |
709.0733 | Discovery of the Narrow-Line Seyfert 1 galaxy Mkn 335 in an historical
low X-ray flux state | We report the discovery of the Narrow-Line Seyfert 1 galaxy Mkn 335 in an
extremely low X-ray state. A comparison of Swift observations obtained in May
and June/July 2007 with all previous X-ray observations between 1971 to 2006
show the AGN to have diminished in flux by a factor of more than 30, the lowest
X-ray flux Mkn 335 has ever been observed in. The Swift observations show an
extremely hard X-ray spectrum at energies above 2 keV. Possible interpretations
include partial covering absorption or X-ray reflection from the disk. In this
letter we consider the partial covering interpretation. The Swift observations
can be well fit by a strong partial covering absorber with varying absorption
column density N_H= 1-4 x 10^{23} cm-2 and a covering fraction f_c=0.9 - 1.
When corrected for intrinsic absorption, the X-ray flux of Mkn 335 varies by
only factors of 4-6. In the UV Mkn 335 shows variability in the order of 0.2
mag. We discuss the similarity of Mkn 335 with the highly variable NLS1
WPVS007, and speculate about a possible link between NLS1 galaxies and
broad-absorption line quasars.
| astro-ph | we report the discovery of the narrowline seyfert 1 galaxy mkn 335 in an extremely low xray state a comparison of swift observations obtained in may and junejuly 2007 with all previous xray observations between 1971 to 2006 show the agn to have diminished in flux by a factor of more than 30 the lowest xray flux mkn 335 has ever been observed in the swift observations show an extremely hard xray spectrum at energies above 2 kev possible interpretations include partial covering absorption or xray reflection from the disk in this letter we consider the partial covering interpretation the swift observations can be well fit by a strong partial covering absorber with varying absorption column density n_h 14 x 1023 cm2 and a covering fraction f_c09 1 when corrected for intrinsic absorption the xray flux of mkn 335 varies by only factors of 46 in the uv mkn 335 shows variability in the order of 02 mag we discuss the similarity of mkn 335 with the highly variable nls1 wpvs007 and speculate about a possible link between nls1 galaxies and broadabsorption line quasars | [['we', 'report', 'the', 'discovery', 'of', 'the', 'narrowline', 'seyfert', '1', 'galaxy', 'mkn', '335', 'in', 'an', 'extremely', 'low', 'xray', 'state', 'a', 'comparison', 'of', 'swift', 'observations', 'obtained', 'in', 'may', 'and', 'junejuly', '2007', 'with', 'all', 'previous', 'xray', 'observations', 'between', '1971', 'to', '2006', 'show', 'the', 'agn', 'to', 'have', 'diminished', 'in', 'flux', 'by', 'a', 'factor', 'of', 'more', 'than', '30', 'the', 'lowest', 'xray', 'flux', 'mkn', '335', 'has', 'ever', 'been', 'observed', 'in', 'the', 'swift', 'observations', 'show', 'an', 'extremely', 'hard', 'xray', 'spectrum', 'at', 'energies', 'above', '2', 'kev', 'possible', 'interpretations', 'include', 'partial', 'covering', 'absorption', 'or', 'xray', 'reflection', 'from', 'the', 'disk', 'in', 'this', 'letter', 'we', 'consider', 'the', 'partial', 'covering', 'interpretation', 'the', 'swift', 'observations', 'can', 'be', 'well', 'fit', 'by', 'a', 'strong', 'partial', 'covering', 'absorber', 'with', 'varying', 'absorption', 'column', 'density', 'n_h', '14', 'x', '1023', 'cm2', 'and', 'a', 'covering', 'fraction', 'f_c09', '1', 'when', 'corrected', 'for', 'intrinsic', 'absorption', 'the', 'xray', 'flux', 'of', 'mkn', '335', 'varies', 'by', 'only', 'factors', 'of', '46', 'in', 'the', 'uv', 'mkn', '335', 'shows', 'variability', 'in', 'the', 'order', 'of', '02', 'mag', 'we', 'discuss', 'the', 'similarity', 'of', 'mkn', '335', 'with', 'the', 'highly', 'variable', 'nls1', 'wpvs007', 'and', 'speculate', 'about', 'a', 'possible', 'link', 'between', 'nls1', 'galaxies', 'and', 'broadabsorption', 'line', 'quasars']] | [-0.04261578093295742, 0.0913538092051733, 0.009527054260284202, 0.097169650705063, -0.06594439006528884, -0.1087223212620583, 0.07330210051031073, 0.5096559638250104, -0.1274403638331199, -0.42587275049798395, 0.08125428700220169, -0.35323991221298584, -0.00012006800884164828, 0.19406064061154688, -0.03693405739469093, -0.013459096799054033, -0.016555986395465898, -0.13078054625191082, -0.049673547055598, -0.24010350789813048, 0.23482277685228364, 0.07735916306341879, 0.1647155378888572, 0.014707527216009342, 0.0919216802390035, -0.02244489346547258, -0.10590048223600121, -0.024032710840441902, -0.10991538736392945, 0.051296671554034584, 0.27624140195265534, 0.08911456365764749, 0.22185619086160926, -0.2937692459325373, -0.227285236984656, 0.016556794978986954, 0.14329396914632847, -0.06467286880688937, 0.004648908119483398, -0.2563240258897866, 0.026846674860722657, -0.20485076388519113, -0.1576137830971519, 0.08380522447746268, 0.09912697156345811, 0.012295139701368071, -0.17632157419864808, 0.13410643390952276, -0.013083391213784436, 0.09852181886225034, -0.16561560621690932, -0.09404751537264792, -0.026732854652527248, 0.011978202559425655, 0.04097608079650125, 0.06537115898045058, 0.1262003344957053, -0.149487330547395, -0.11347249979719273, 0.35842193508757414, -0.04427640900784108, 0.10682312142392054, 0.19005742113399243, -0.2445247905490951, -0.24265686785081886, 0.24985941529829694, 0.08945483443692573, 0.0775309823754434, -0.09479749530918179, 0.031124154181838375, -0.08338738003300596, 0.32619005006876933, 0.05024467263555988, 0.06423636394540344, 0.23188612422422192, 0.07823911314580631, 0.01964947699250149, 0.11920604307026968, -0.26518289723500443, 0.07748708954448838, -0.25855812383622695, -0.08124827311338229, -0.10740481827085924, 0.1847031371480173, -0.12145587184562255, -0.07478443299322415, 0.3692229728790731, 0.05814995863719313, 0.2886655085336787, -0.007204142315519037, 0.2386956071810416, 0.13113708834958812, 0.010466769674679686, 0.13318860460875442, 0.3524350017072499, 0.1543909755640905, 0.11249516061532892, -0.18111653257681068, 0.042908113013736864, -0.03439266532427986] |
709.0734 | Predictions for the Cosmogenic Neutrino Flux in Light of New Data from
the Pierre Auger Observatory | The Pierre Auger Observatory (PAO) has measured the spectrum and composition
of the ultrahigh energy cosmic rays with unprecedented precision. We use these
measurements to constrain their spectrum and composition as injected from their
sources and, in turn, use these results to estimate the spectrum of cosmogenic
neutrinos generated in their propagation through intergalactic space. We find
that the PAO measurements can be well fit if the injected cosmic rays consist
entirely of nuclei with masses in the intermediate (C, N, O) to heavy (Fe, Si)
range. A mixture of protons and heavier species is also acceptable but (on the
basis of existing hadronic interaction models) injection of pure light nuclei
(p, He) results in unacceptable fits to the new elongation rate data. The
expected spectrum of cosmogenic neutrinos can vary considerably, depending on
the precise spectrum and chemical composition injected from the cosmic ray
sources. In the models where heavy nuclei dominate the cosmic ray spectrum and
few dissociated protons exceed GZK energies, the cosmogenic neutrino flux can
be suppressed by up to two orders of magnitude relative to the all-proton
prediction, making its detection beyond the reach of current and planned
neutrino telescopes. Other models consistent with the data, however, are
proton-dominated with only a small (1-10%) admixture of heavy nuclei and
predict an associated cosmogenic flux within the reach of upcoming experiments.
Thus a detection or non-detection of cosmogenic neutrinos can assist in
discriminating between these possibilities.
| astro-ph hep-ph | the pierre auger observatory pao has measured the spectrum and composition of the ultrahigh energy cosmic rays with unprecedented precision we use these measurements to constrain their spectrum and composition as injected from their sources and in turn use these results to estimate the spectrum of cosmogenic neutrinos generated in their propagation through intergalactic space we find that the pao measurements can be well fit if the injected cosmic rays consist entirely of nuclei with masses in the intermediate c n o to heavy fe si range a mixture of protons and heavier species is also acceptable but on the basis of existing hadronic interaction models injection of pure light nuclei p he results in unacceptable fits to the new elongation rate data the expected spectrum of cosmogenic neutrinos can vary considerably depending on the precise spectrum and chemical composition injected from the cosmic ray sources in the models where heavy nuclei dominate the cosmic ray spectrum and few dissociated protons exceed gzk energies the cosmogenic neutrino flux can be suppressed by up to two orders of magnitude relative to the allproton prediction making its detection beyond the reach of current and planned neutrino telescopes other models consistent with the data however are protondominated with only a small 110 admixture of heavy nuclei and predict an associated cosmogenic flux within the reach of upcoming experiments thus a detection or nondetection of cosmogenic neutrinos can assist in discriminating between these possibilities | [['the', 'pierre', 'auger', 'observatory', 'pao', 'has', 'measured', 'the', 'spectrum', 'and', 'composition', 'of', 'the', 'ultrahigh', 'energy', 'cosmic', 'rays', 'with', 'unprecedented', 'precision', 'we', 'use', 'these', 'measurements', 'to', 'constrain', 'their', 'spectrum', 'and', 'composition', 'as', 'injected', 'from', 'their', 'sources', 'and', 'in', 'turn', 'use', 'these', 'results', 'to', 'estimate', 'the', 'spectrum', 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