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709.3235 | A one-parameter family of dendriform identities | We prove a q-identity in the dendriform dialgebra of colored free
quasi-symmetric functions. For q=1, we recover identities due to Ebrahimi-Fard,
Manchon, and Patras, in particular the noncommutative Bohnenblust-Spitzer
identity.
| math.CO | we prove a qidentity in the dendriform dialgebra of colored free quasisymmetric functions for q1 we recover identities due to ebrahimifard manchon and patras in particular the noncommutative bohnenblustspitzer identity | [['we', 'prove', 'a', 'qidentity', 'in', 'the', 'dendriform', 'dialgebra', 'of', 'colored', 'free', 'quasisymmetric', 'functions', 'for', 'q1', 'we', 'recover', 'identities', 'due', 'to', 'ebrahimifard', 'manchon', 'and', 'patras', 'in', 'particular', 'the', 'noncommutative', 'bohnenblustspitzer', 'identity']] | [-0.13442585241448665, 0.0817680435388216, -0.08361663870579962, 0.14561469606789096, -0.11394821100735239, -0.1482889213366434, -0.028899996541440487, 0.3085285223953958, -0.3856169560125896, -0.17084123264066875, 0.07118427300260269, -0.255244743012424, -0.21395938830184086, 0.17074052749999932, -0.20936462273156003, -0.027327035354184254, -0.007602176828575986, 0.07115891708859376, -0.07701237499713898, -0.24765904690138996, 0.3514857077472178, -0.026165404889200414, 0.14416450263732777, 0.0963118368360613, 0.11674118780397943, 0.07150398534057396, -0.07969516204736594, -0.09572127115513597, -0.21106607164256275, 0.08782727697065898, 0.2676494231979762, 0.08989720408239268, 0.15348431980237365, -0.342104374963258, -0.03712899464049509, 0.16952205020269112, 0.12144529456937951, 0.010447400189670069, -0.04521698452299461, -0.25537915734042016, 0.1298082148589726, -0.2583734451660088, -0.1786404994449445, -0.06198191935462611, 0.04306703800934234, 0.04454363819344768, -0.2974365699171488, 0.05020293099680982, 0.1360760955805225, 0.05428655565317188, -0.07459257281984069, -0.11840003180051488, -0.038200097175181975, 0.08891555651955839, -0.04265239029856665, 0.05447022041438946, 0.04448214835221214, -0.1598052916981812, -0.1543359207155715, 0.34144534247129094, -0.013258689072764744, -0.23989499887518054, 0.06724456724311624, -0.22358177775251015, -0.24673802951084717, 0.019631148016612445, 0.03725410725123116, 0.1228276987593355, -0.07375721391456734, 0.2320271866109189, -0.15768473036587238, 0.004247590699898345, 0.2257480549160391, 0.03352522736947451, 0.09106926770930711, -0.09726794234510246, 0.013262314023450017, 0.2791317335795611, 0.051630704530647824, -0.03435954822842697, -0.2900765543204865, -0.22210183087736368, -0.10926151229068637, 0.1257103522574263, -0.12711453078528784, -0.19204247656411358, 0.3580012180443321, 0.1440131891452308, 0.11503635107406548, 0.1279634302482009, 0.17281413899867662, 0.08723516675776669, 0.1423211672808975, 0.005950013075822166, 0.0922263880659427, 0.2522761771230892, 0.07675442086266619, -0.08111881903771843, -0.07688461009612572, 0.2548395265559001] |
709.3236 | Determining chiral couplings at NLO | We present a general method that allows to estimate the low-energy constants
of Chiral Perturbation Theory up to next-to-leading corrections in the 1/N(C)
expansion, that is, keeping full control of the renormalization scale
dependence. As a first step we have determined L(8) and C(38), the couplings
related to the difference of the two-point correlation functions of two scalar
and pseudoscalar currents, L(8)(mu_0) = (0.6 \pm 0.4) 10^{-3} and C(38)(mu_0) =
(2 \pm 6) 10^{-6}$, with mu_0 = 0.77 GeV. As in many effective approaches, one
of the main ingredients of this method is the matching procedure: some comments
related to this topic are presented here.
| hep-ph | we present a general method that allows to estimate the lowenergy constants of chiral perturbation theory up to nexttoleading corrections in the 1nc expansion that is keeping full control of the renormalization scale dependence as a first step we have determined l8 and c38 the couplings related to the difference of the twopoint correlation functions of two scalar and pseudoscalar currents l8mu_0 06 pm 04 103 and c38mu_0 2 pm 6 106 with mu_0 077 gev as in many effective approaches one of the main ingredients of this method is the matching procedure some comments related to this topic are presented here | [['we', 'present', 'a', 'general', 'method', 'that', 'allows', 'to', 'estimate', 'the', 'lowenergy', 'constants', 'of', 'chiral', 'perturbation', 'theory', 'up', 'to', 'nexttoleading', 'corrections', 'in', 'the', '1nc', 'expansion', 'that', 'is', 'keeping', 'full', 'control', 'of', 'the', 'renormalization', 'scale', 'dependence', 'as', 'a', 'first', 'step', 'we', 'have', 'determined', 'l8', 'and', 'c38', 'the', 'couplings', 'related', 'to', 'the', 'difference', 'of', 'the', 'twopoint', 'correlation', 'functions', 'of', 'two', 'scalar', 'and', 'pseudoscalar', 'currents', 'l8mu_0', '06', 'pm', '04', '103', 'and', 'c38mu_0', '2', 'pm', '6', '106', 'with', 'mu_0', '077', 'gev', 'as', 'in', 'many', 'effective', 'approaches', 'one', 'of', 'the', 'main', 'ingredients', 'of', 'this', 'method', 'is', 'the', 'matching', 'procedure', 'some', 'comments', 'related', 'to', 'this', 'topic', 'are', 'presented', 'here']] | [-0.10318055662792176, 0.16626157296355815, -0.07949632190167905, 0.07787796080112458, -0.03714909803122282, -0.09425820137374102, 0.027499822698300706, 0.33474696477875115, -0.19804441228508948, -0.34202864207327366, 0.06725256234174594, -0.3343122037012654, -0.09054416482395027, 0.13762425399385392, 0.024104515635408462, 0.07926479400601238, -0.04029281515744515, 0.023193029123358428, -0.11842973748687655, -0.24146088656038045, 0.2854460567096248, 0.0071274086181074385, 0.2254104156140238, 0.13160349797457457, 0.07782565172412433, -0.026981646250933407, -0.043488814332522455, -0.04476188822183758, -0.17329880925433827, 0.12273182190489024, 0.20074005789123475, 0.027680109944194554, 0.25140027145389465, -0.31676072282716633, -0.11474356564925983, 0.04008569484343752, 0.1541771930223331, 0.112010682602413, -0.004137744731269777, -0.2299837928218767, 0.12748763620853423, -0.1977313939947635, -0.15124944905634038, -0.09624069453217089, 0.01974476643372327, -0.05771444235462695, -0.2990207254793495, 0.1477378271202906, -0.015857492694631218, 0.025872735334560276, -0.027955969018512404, -0.16386710608843713, 0.02510134840849787, 0.11704369181999937, 0.10614949523005635, 0.1266723471181467, 0.13470235834363847, -0.1212295356951654, -0.10531929991266224, 0.4083284641371574, -0.11723437119275332, -0.15959642252506456, 0.09998722400516272, -0.15920069034211337, -0.15977834895718843, 0.11942072298377752, 0.14229857991449535, 0.1356192650506273, -0.17078095874749125, 0.08662342412688304, 0.018314142897725105, 0.18814710857230238, 0.052520847613923255, 0.034005061884527094, 0.1502589803095907, 0.1218971543200314, 0.03343063341628295, 0.04881582553964108, -0.08162039219867438, -0.06860938330879435, -0.3739859831985086, -0.08963840668089688, -0.13763795722275973, 0.06400722418911756, -0.14702452868645197, -0.13119378889910877, 0.4161665861401707, 0.1974132442753762, 0.23615159820765258, 0.045594952180981634, 0.2786564510664903, 0.13072166926926002, 0.08223402656614781, 0.054084670804440974, 0.2729680904946872, 0.207880489975214, 0.08319009887985886, -0.22360494094551542, -0.03219381534261629, 0.08145414411555976] |
709.3237 | Gradient Representations and the Perception of Luminosity | The neuronal mechanisms that serve to distinguish between light-emitting and
light reflecting objects are largely unknown. It has been suggested that
luminosity perception implements a separate pathway in the visual system, such
that luminosity constitutes an independent perceptual feature. Recently, a
psychophysical study was conducted to address the question whether luminosity
has a feature status or not. However, the results of this study lend support to
the hypothesis that luminance gradients are instead a perceptual feature. Here,
I show how the perception of luminosity can emerge from a previously proposed
neuronal architecture for generating representations of luminance gradients.
| q-bio.NC | the neuronal mechanisms that serve to distinguish between lightemitting and light reflecting objects are largely unknown it has been suggested that luminosity perception implements a separate pathway in the visual system such that luminosity constitutes an independent perceptual feature recently a psychophysical study was conducted to address the question whether luminosity has a feature status or not however the results of this study lend support to the hypothesis that luminance gradients are instead a perceptual feature here i show how the perception of luminosity can emerge from a previously proposed neuronal architecture for generating representations of luminance gradients | [['the', 'neuronal', 'mechanisms', 'that', 'serve', 'to', 'distinguish', 'between', 'lightemitting', 'and', 'light', 'reflecting', 'objects', 'are', 'largely', 'unknown', 'it', 'has', 'been', 'suggested', 'that', 'luminosity', 'perception', 'implements', 'a', 'separate', 'pathway', 'in', 'the', 'visual', 'system', 'such', 'that', 'luminosity', 'constitutes', 'an', 'independent', 'perceptual', 'feature', 'recently', 'a', 'psychophysical', 'study', 'was', 'conducted', 'to', 'address', 'the', 'question', 'whether', 'luminosity', 'has', 'a', 'feature', 'status', 'or', 'not', 'however', 'the', 'results', 'of', 'this', 'study', 'lend', 'support', 'to', 'the', 'hypothesis', 'that', 'luminance', 'gradients', 'are', 'instead', 'a', 'perceptual', 'feature', 'here', 'i', 'show', 'how', 'the', 'perception', 'of', 'luminosity', 'can', 'emerge', 'from', 'a', 'previously', 'proposed', 'neuronal', 'architecture', 'for', 'generating', 'representations', 'of', 'luminance', 'gradients']] | [-0.037179699657028734, 0.08844157078494057, -0.12990307532326908, 0.07274910151288483, -0.12305250894088222, -0.13941865411054874, 0.0029864150422568222, 0.4815672639073158, -0.22439151591792397, -0.3205758531824971, 0.047718485721092364, -0.2536447024619093, -0.24066991150160605, 0.18717945538394684, -0.1299350086685118, 0.03853686311643342, 0.033710593088026326, -0.0030821203658053156, -0.01053999496471821, -0.21015690045659335, 0.30899560748010263, 0.05677709705196321, 0.31910007206095875, 0.04050622113068037, 0.12875624555543216, -0.09677181495781227, -0.06079790023231537, -0.02824391507334551, -0.01802929163327184, 0.09961233250511696, 0.31395158850188765, 0.22530514293649337, 0.3023089122535585, -0.39066409148579956, -0.2503561898923422, 0.09684068947194183, 0.15328991802988992, 0.05794878436100422, -0.06721160055746381, -0.2689004861084478, 0.06201194375705886, -0.13104129506617176, -0.07356545276350665, -0.050956428450133116, 0.040959885042179754, -0.02915883931564167, -0.25572763095557577, 0.04328247407755377, 0.09078279168021922, 0.08375801261970584, -0.08964271486822363, -0.070348626932804, -0.02844697464143439, 0.14989577143272498, 0.02653392995422592, 0.07544679076135234, 0.17228329313291732, -0.15388672583860022, -0.15794006856728574, 0.32129473070024833, 0.010822536950047148, -0.18523861062047736, 0.24882826267988706, -0.07751086789506431, -0.12789028716197579, 0.07658977822723742, 0.1838970190883443, 0.030845779331629068, -0.2149740549787993, -0.006083747778890883, -0.05527162527646489, 0.22412461303625902, 0.03585232767675604, 0.06133602951102111, 0.286702904051968, 0.19522482395761323, -0.015397192311606236, 0.12042374663026434, -0.11677247956775282, -0.006948461627815755, -0.25223236116675696, -0.1297231131632413, -0.17523218786381944, 0.03554101598140788, -0.03162078749924798, -0.14638250006590875, 0.40222131857192334, 0.21819569001316416, 0.2653497081078893, 0.06416710439062089, 0.27811575557428353, 0.08651908890258674, 0.13326237519860876, 0.04149160295016874, 0.2843892681317366, 0.0617569600117906, 0.08373945858329535, -0.21894775786465603, 0.14614186046302927, 0.029882597252346422] |
709.3238 | Lie symmetries of multidimensional difference equations | A method is presented for calculating the Lie point symmetries of a scalar
difference equation on a two-dimensional lattice. The symmetry transformations
act on the equations and on the lattice. They take solutions into solutions and
can be used to perform symmetry reduction. The method generalizes one presented
in a recent publication for the case of ordinary difference equations. In turn,
it can easily be generalized to difference systems involving an arbitrary
number of dependent and independent variables.
| math-ph math.MP | a method is presented for calculating the lie point symmetries of a scalar difference equation on a twodimensional lattice the symmetry transformations act on the equations and on the lattice they take solutions into solutions and can be used to perform symmetry reduction the method generalizes one presented in a recent publication for the case of ordinary difference equations in turn it can easily be generalized to difference systems involving an arbitrary number of dependent and independent variables | [['a', 'method', 'is', 'presented', 'for', 'calculating', 'the', 'lie', 'point', 'symmetries', 'of', 'a', 'scalar', 'difference', 'equation', 'on', 'a', 'twodimensional', 'lattice', 'the', 'symmetry', 'transformations', 'act', 'on', 'the', 'equations', 'and', 'on', 'the', 'lattice', 'they', 'take', 'solutions', 'into', 'solutions', 'and', 'can', 'be', 'used', 'to', 'perform', 'symmetry', 'reduction', 'the', 'method', 'generalizes', 'one', 'presented', 'in', 'a', 'recent', 'publication', 'for', 'the', 'case', 'of', 'ordinary', 'difference', 'equations', 'in', 'turn', 'it', 'can', 'easily', 'be', 'generalized', 'to', 'difference', 'systems', 'involving', 'an', 'arbitrary', 'number', 'of', 'dependent', 'and', 'independent', 'variables']] | [-0.13862650010448235, 0.10224098086119063, -0.12592005545798785, 0.05645317604126504, -0.10990665850635523, -0.12093316658567159, 0.016161015624395356, 0.31295759472040796, -0.26913227558207625, -0.27449555083727223, 0.123179127363703, -0.2863499546686235, -0.12453808842632824, 0.21628100165906242, -0.0149637234564393, 0.04047911466123202, 0.037003526267094106, 0.030250719915597867, -0.09646546732162675, -0.2902479893169724, 0.31106198493104714, -0.04146784168626301, 0.2910580981331758, 0.007996825065511541, 0.13027677443833688, 0.025534188309206795, -0.01986538990138051, 0.05008219667256643, -0.0866773481337497, 0.10362433609910883, 0.2288281643548264, 0.04744239308256044, 0.17982427744815746, -0.41766774363051623, -0.21351535408160624, 0.08999617592407724, 0.15116895565715355, 0.1540864366763391, -0.03931518039481046, -0.27628131721538896, 0.04985320886883598, -0.15480142880159503, -0.1531595057175041, -0.10943138345073049, -0.006432030803691118, 0.021830050704570916, -0.28262313515043413, 0.07671092406440622, 0.04748110636137426, 0.03551011740301664, -0.06659000803931402, -0.10227067151274054, -0.01144822772878867, 0.08714734670297147, 0.026893334687114336, 0.009764660919944827, 0.07188767304894729, -0.07126645703250781, -0.1077974334684535, 0.4421733270088832, -0.058035446295084864, -0.34036726805453116, 0.15964956696216875, -0.07251318307736745, -0.14377508125005242, 0.10873520084752296, 0.20848017032497013, 0.14569761950928622, -0.12916837066698533, 0.09469537994337794, -0.033778796426187724, 0.14394225500328525, 0.05665515935442482, -0.024529887387194693, 0.17171254025724453, 0.1057478984973083, 0.08336927066258608, 0.12218174722511321, 0.028071245724836793, -0.14663160120089275, -0.34033574228389907, -0.1753340729345114, -0.16558800373847285, 0.060529977787668124, -0.08236345287523597, -0.14703223621472716, 0.39341670523087185, 0.1175971427001059, 0.18274507113995078, -0.021100783837027848, 0.2077764788021644, 0.2146659819289851, 0.10736549036720625, 0.01602082571778924, 0.18720650299189565, 0.16150750359520316, 0.08242624424971066, -0.22456785545756036, -0.0045517274605420726, 0.1339652528299783] |
709.3239 | Lambda-parameter of lattice QCD with Symanzik improved gluon actions | We compute the ratio Lambda_L/Lambda_MS, where the scale parameter Lambda_L
is associated with a lattice formulation of QCD. We consider a 3-parameter
family of gluon actions, which are most frequently used for O(a) improvement a`
la Symanzik. The gluon action is put togeter with standard discretizations for
fermions (Wilson/clover, overlap), to provide Lambda_L for several possible
combinations of fermion and gluon actions. We employ the background field
technique in order to calculate the 1PI 2-point function of the background
field; this leads to the coupling constant renormalization function, Z_g, at
1-loop level.
Our results are obtained for an extensive range of values for the Symanzik
coefficients.
| hep-lat | we compute the ratio lambda_llambda_ms where the scale parameter lambda_l is associated with a lattice formulation of qcd we consider a 3parameter family of gluon actions which are most frequently used for oa improvement a la symanzik the gluon action is put togeter with standard discretizations for fermions wilsonclover overlap to provide lambda_l for several possible combinations of fermion and gluon actions we employ the background field technique in order to calculate the 1pi 2point function of the background field this leads to the coupling constant renormalization function z_g at 1loop level our results are obtained for an extensive range of values for the symanzik coefficients | [['we', 'compute', 'the', 'ratio', 'lambda_llambda_ms', 'where', 'the', 'scale', 'parameter', 'lambda_l', 'is', 'associated', 'with', 'a', 'lattice', 'formulation', 'of', 'qcd', 'we', 'consider', 'a', '3parameter', 'family', 'of', 'gluon', 'actions', 'which', 'are', 'most', 'frequently', 'used', 'for', 'oa', 'improvement', 'a', 'la', 'symanzik', 'the', 'gluon', 'action', 'is', 'put', 'togeter', 'with', 'standard', 'discretizations', 'for', 'fermions', 'wilsonclover', 'overlap', 'to', 'provide', 'lambda_l', 'for', 'several', 'possible', 'combinations', 'of', 'fermion', 'and', 'gluon', 'actions', 'we', 'employ', 'the', 'background', 'field', 'technique', 'in', 'order', 'to', 'calculate', 'the', '1pi', '2point', 'function', 'of', 'the', 'background', 'field', 'this', 'leads', 'to', 'the', 'coupling', 'constant', 'renormalization', 'function', 'z_g', 'at', '1loop', 'level', 'our', 'results', 'are', 'obtained', 'for', 'an', 'extensive', 'range', 'of', 'values', 'for', 'the', 'symanzik', 'coefficients']] | [-0.10716291980019638, 0.1970214387902247, -0.09510277991759636, 0.07572563635296232, -0.05633570586464235, -0.06289943664866898, 0.03489211642161189, 0.3825238925360498, -0.18891214922270072, -0.25157979756948495, 0.05366584495308676, -0.28415336836839006, -0.08264739662630573, 0.1602885956122052, 0.02619651234486983, 0.06832748277215397, 0.014665966518666772, 0.04656195219168218, -0.11062777652238895, -0.28165845162057807, 0.351069889936064, 0.03610458782031423, 0.2393978055034365, 0.12552542044293313, 0.10765367591576207, 0.0366238593301248, -0.0557664906339986, -0.01915859016811564, -0.14611100128718785, 0.07730315092152783, 0.19601236835920385, 0.009741490103659175, 0.1831776662130973, -0.3175654888330471, -0.18068894379151365, 0.07798303033979166, 0.11426416435944182, 0.10481680162761006, 0.004658406023823079, -0.2286033769359901, 0.07860529879218943, -0.2032573764849942, -0.1720638046484618, -0.13208557248026842, -0.044337060415585126, -0.06933431371691681, -0.39584552660761846, 0.06256227054234062, -0.09439801407889241, 0.059943053862523465, 0.005591769075198543, -0.18890082326584628, 0.008229706525093033, 0.12763297485542438, 0.12062072400862928, 0.1172819934599656, 0.10452241600446757, -0.20904696838531112, -0.11761208731858504, 0.41150737602784787, -0.1320362581172958, -0.22403370661749727, 0.14103511588736659, -0.1416824291770657, -0.15607674051342266, 0.10788888673165015, 0.15932997231859536, 0.11801492190431981, -0.15412313353625082, 0.16232988429865577, -0.04015314697421023, 0.15879702187542405, 0.10215625701738255, 0.05274253414189886, 0.1717230927820007, 0.09785023360025315, 0.039214557879382654, 0.10698053353643489, -0.03229879084586476, -0.09733784460917204, -0.350803062000445, -0.10312588050118869, -0.1144218802751441, 0.053641594879861386, -0.15759748583867414, -0.19985318015373887, 0.38386394385071027, 0.19201287696847602, 0.18557920006015116, 0.10607896857739736, 0.2301394989115319, 0.19552508049888448, 0.10896243347254182, 0.03358206997315089, 0.19274631386977575, 0.1289451583421656, 0.051998370779412134, -0.26854067864339976, -0.08657852433001002, 0.19581476752646268] |
709.324 | Spin-texture and magneto-roton excitations at nu=1/3 | Neutral spin texture ST excitations at nu=1/3 are directly observed for the
first time by resonant inelastic light scattering. They are determined to
involve two simultaneous spin- flips. At low magnetic fields, the ST energy is
below that of the magneto-roton minimum. With increasing in-plane magnetic
field these modes energies cross at a critical ratio of the Zeeman and Coulomb
energies of eta_c=0.020 +- 0.001. Surprisingly, the intensity of the ST mode
grows with temperature in the range in which the magneto-roton modes collapse.
The temperature dependence is interpreted in terms of a competition between
coexisting phases supporting different excitations. We consider the role of the
ST excitations in activated transport at nu=1/3.
| cond-mat.str-el cond-mat.mes-hall | neutral spin texture st excitations at nu13 are directly observed for the first time by resonant inelastic light scattering they are determined to involve two simultaneous spin flips at low magnetic fields the st energy is below that of the magnetoroton minimum with increasing inplane magnetic field these modes energies cross at a critical ratio of the zeeman and coulomb energies of eta_c0020 0001 surprisingly the intensity of the st mode grows with temperature in the range in which the magnetoroton modes collapse the temperature dependence is interpreted in terms of a competition between coexisting phases supporting different excitations we consider the role of the st excitations in activated transport at nu13 | [['neutral', 'spin', 'texture', 'st', 'excitations', 'at', 'nu13', 'are', 'directly', 'observed', 'for', 'the', 'first', 'time', 'by', 'resonant', 'inelastic', 'light', 'scattering', 'they', 'are', 'determined', 'to', 'involve', 'two', 'simultaneous', 'spin', 'flips', 'at', 'low', 'magnetic', 'fields', 'the', 'st', 'energy', 'is', 'below', 'that', 'of', 'the', 'magnetoroton', 'minimum', 'with', 'increasing', 'inplane', 'magnetic', 'field', 'these', 'modes', 'energies', 'cross', 'at', 'a', 'critical', 'ratio', 'of', 'the', 'zeeman', 'and', 'coulomb', 'energies', 'of', 'eta_c0020', '0001', 'surprisingly', 'the', 'intensity', 'of', 'the', 'st', 'mode', 'grows', 'with', 'temperature', 'in', 'the', 'range', 'in', 'which', 'the', 'magnetoroton', 'modes', 'collapse', 'the', 'temperature', 'dependence', 'is', 'interpreted', 'in', 'terms', 'of', 'a', 'competition', 'between', 'coexisting', 'phases', 'supporting', 'different', 'excitations', 'we', 'consider', 'the', 'role', 'of', 'the', 'st', 'excitations', 'in', 'activated', 'transport', 'at', 'nu13']] | [-0.22232525112728277, 0.32125089499629567, -0.020597275409444765, 0.054287100464592244, 0.021828676974568684, -0.1187344135271872, 0.05983102435732747, 0.32294104671785356, -0.2659507480760415, -0.3364329576190259, -0.0179718522027739, -0.33600902019555234, -0.0466644027278767, 0.15874040599593575, 0.10813104530779628, -0.013923966770505046, -0.02456903323396906, 0.03869178997319158, -0.05947844332046304, -0.162803091738071, 0.297239910844747, 0.04446105055326411, 0.32034826546336886, 0.11450734230488338, 0.06407113895155825, 0.04274722711216692, 0.09615619787694635, 0.012554854561516025, -0.13677949148372104, -0.0027965025699420555, 0.2754999751577506, -0.07073134669681659, 0.1630558619980474, -0.42203744861658093, -0.16948874703365135, 0.04964140288296852, 0.15631586013714205, 0.12623263724664277, -0.01444566334589376, -0.20570628613502057, 0.027641782950324652, -0.08280763574162717, -0.12146529538854789, -0.04863128708339892, 0.028159169601339445, 0.007200401782913989, -0.25060052704905067, 0.16763316661272584, 0.0440035138731751, 0.08604306261671858, -0.10051671839696733, -0.15699504831856168, -0.10766230336902244, 0.052729233765873955, 0.09181113331264036, 0.036194685431247625, 0.1517642120839105, -0.1468238238589251, -0.12753843132674964, 0.31105797148104086, -0.07414056854909873, -0.09419253710652115, 0.18171538375653662, -0.20732983769148877, -0.07994814437965082, 0.23160940213212827, 0.1415397128638778, 0.09350026030143774, -0.06957717120714553, 0.05063497675514595, 0.03701067370203164, 0.1259948766354035, 0.1006185570815662, 0.09923365816520108, 0.2992715839766436, 0.16690388997609787, 0.02130801739959835, 0.11329221200651012, -0.15658888876488483, -0.055634500282640394, -0.2716009112930781, -0.10517473623307573, -0.20851233809623188, 0.021305723774439848, -0.062118986885662204, -0.13383625965640955, 0.41007917827789186, 0.08918561941948258, 0.2171698688164454, 0.0002742159413173795, 0.26112329655721245, 0.18854687172449655, 0.06360831529715913, 0.0655450582806323, 0.29934910273227655, 0.1674478744420953, 0.14339902772996072, -0.3462955964360017, 0.007716561038349126, 0.008660235245049268] |
709.3241 | Analysis of two step nilsequences | Nilsequences arose in the study of the multiple ergodic averages associated
to Furstenberg's proof of Szemer\'edi's Theorem and have since played a role in
problems in additive combinatorics. Nilsequences are a generalization of almost
periodic sequences and we study which portions of the classical theory for
almost periodic sequences can be generalized for two step nilsequences. We
state and prove basic properties for 2-step nilsequences and give a
classification scheme for them.
| math.DS math.CO math.NT | nilsequences arose in the study of the multiple ergodic averages associated to furstenbergs proof of szemeredis theorem and have since played a role in problems in additive combinatorics nilsequences are a generalization of almost periodic sequences and we study which portions of the classical theory for almost periodic sequences can be generalized for two step nilsequences we state and prove basic properties for 2step nilsequences and give a classification scheme for them | [['nilsequences', 'arose', 'in', 'the', 'study', 'of', 'the', 'multiple', 'ergodic', 'averages', 'associated', 'to', 'furstenbergs', 'proof', 'of', 'szemeredis', 'theorem', 'and', 'have', 'since', 'played', 'a', 'role', 'in', 'problems', 'in', 'additive', 'combinatorics', 'nilsequences', 'are', 'a', 'generalization', 'of', 'almost', 'periodic', 'sequences', 'and', 'we', 'study', 'which', 'portions', 'of', 'the', 'classical', 'theory', 'for', 'almost', 'periodic', 'sequences', 'can', 'be', 'generalized', 'for', 'two', 'step', 'nilsequences', 'we', 'state', 'and', 'prove', 'basic', 'properties', 'for', '2step', 'nilsequences', 'and', 'give', 'a', 'classification', 'scheme', 'for', 'them']] | [-0.1689371862998491, 0.06631472893059254, -0.1361045925748638, 0.1321043436958765, -0.02774634654633701, -0.10723276981540646, 0.04272712798006574, 0.35649909930200213, -0.33253664145660067, -0.2201825473198874, 0.1663126720134945, -0.22986694250721484, -0.18490362302852897, 0.25706677780383164, -0.15338121376569486, 0.03535560910434773, 0.10294243979216036, 0.05380010496204098, -0.0482093371425031, -0.28089959096784395, 0.34632638431180063, -0.038212171220544, 0.21566248057772303, 0.03628923264073415, 0.0852313636828007, 0.06934219523100182, -0.08589698586405979, -0.03521017176616523, -0.14165853624904734, 0.12910646909990142, 0.2722278514670001, 0.07579584977550742, 0.2898527834460967, -0.3813843413437199, -0.1835063693902662, 0.15720296638189918, 0.13764571930126598, 0.08268120238749867, -0.04408216441839209, -0.26152799976989627, 0.13985942102347812, -0.11012609822339275, -0.17301938813438433, -0.07401714591186545, 0.014097542902972136, 0.05675592895648959, -0.26041240578827757, 0.06827020905782571, 0.20143520161056788, 0.0859889238306803, -0.0612072705795678, -0.09351354291195296, 0.05896176753190553, 0.15682256225004998, 0.02380904933023784, -0.02379880221916311, 0.0612622270709835, -0.07356171008561635, -0.1946242259711855, 0.3367457367130555, -0.04425440533345358, -0.20007341872486803, 0.16174223554682815, -0.09073875947312142, -0.23776599678805926, 0.09182142248351334, 0.15087580814078036, 0.133123574236783, -0.1065547838807106, 0.09883064899218476, -0.11176359068809284, 0.09090768459848025, 0.14272681144454205, 0.08016287920893067, 0.15501401506157386, 0.09092540687157048, 0.10202149444376118, 0.15947372460990059, 0.025915172043621877, -0.13462253018385834, -0.26665473677065976, -0.18429198711075717, -0.1284056504438114, 0.09744214786527057, -0.07649878411110775, -0.22400869457245184, 0.3972684070841347, 0.06559834100496825, 0.14245046130640227, 0.10839240112141448, 0.1666677723923284, 0.09289069114149445, -0.009445681286807586, 0.03353257989510894, 0.1417073332510578, 0.22992972721112892, 0.03592674441299298, -0.12495062041206337, 0.02741846052878019, 0.2166721319986714] |
709.3242 | Bicomplex quantum mechanics: I. The generalized Schr\"odinger equation | We introduce the set of bicomplex numbers $\mathbb{T}$ which is a commutative
ring with zero divisors defined by $\mathbb{T}=\{w_0+w_1
\bold{i_1}+w_2\bold{i_2}+w_3 \bold{j}| w_0,w_1,w_2,w_3 \in \mathbb{R}\}$ where
$\bold{i^{\text 2}_1}=-1, \bold{i^{\text 2}_2}=-1, \bold{j}^2=1,\
\bold{i_1}\bold{i_2}=\bold{j}=\bold{i_2}\bold{i_1}$. We present the conjugates
and the moduli associated with the bicomplex numbers. Then we study the
bicomplex Schr\"odinger equation and found the continuity equations. The
discrete symmetries of the system of equations describing the bicomplex
Schr\"odinger equation are obtained. Finally, we study the bicomplex Born
formulas under the discrete symetries. We obtain the standard Born's formula
for the class of bicomplex wave functions having a null hyperbolic angle.
| quant-ph | we introduce the set of bicomplex numbers mathbbt which is a commutative ring with zero divisors defined by mathbbtw_0w_1 boldi_1w_2boldi_2w_3 boldj w_0w_1w_2w_3 in mathbbr where bolditext 2_11 bolditext 2_21 boldj21 boldi_1boldi_2boldjboldi_2boldi_1 we present the conjugates and the moduli associated with the bicomplex numbers then we study the bicomplex schrodinger equation and found the continuity equations the discrete symmetries of the system of equations describing the bicomplex schrodinger equation are obtained finally we study the bicomplex born formulas under the discrete symetries we obtain the standard borns formula for the class of bicomplex wave functions having a null hyperbolic angle | [['we', 'introduce', 'the', 'set', 'of', 'bicomplex', 'numbers', 'mathbbt', 'which', 'is', 'a', 'commutative', 'ring', 'with', 'zero', 'divisors', 'defined', 'by', 'mathbbtw_0w_1', 'boldi_1w_2boldi_2w_3', 'boldj', 'w_0w_1w_2w_3', 'in', 'mathbbr', 'where', 'bolditext', '2_11', 'bolditext', '2_21', 'boldj21', 'boldi_1boldi_2boldjboldi_2boldi_1', 'we', 'present', 'the', 'conjugates', 'and', 'the', 'moduli', 'associated', 'with', 'the', 'bicomplex', 'numbers', 'then', 'we', 'study', 'the', 'bicomplex', 'schrodinger', 'equation', 'and', 'found', 'the', 'continuity', 'equations', 'the', 'discrete', 'symmetries', 'of', 'the', 'system', 'of', 'equations', 'describing', 'the', 'bicomplex', 'schrodinger', 'equation', 'are', 'obtained', 'finally', 'we', 'study', 'the', 'bicomplex', 'born', 'formulas', 'under', 'the', 'discrete', 'symetries', 'we', 'obtain', 'the', 'standard', 'borns', 'formula', 'for', 'the', 'class', 'of', 'bicomplex', 'wave', 'functions', 'having', 'a', 'null', 'hyperbolic', 'angle']] | [-0.21700414413442978, 0.10424052765285903, -0.07840816336837443, 0.09803111045391064, -0.10411337079930601, -0.08679247093847492, -0.02613552852155088, 0.25792317196808673, -0.3265937182151682, -0.15589129129567972, 0.06461416283279535, -0.2777121799824002, -0.16706466809897633, 0.16653455879825813, -0.03725398638318318, 0.09273244505543467, 0.0458525130806675, 0.06385318249985986, -0.13347603129939392, -0.19353853438080257, 0.4165942561659184, -0.06972613020871694, 0.19279893812119633, -0.011246076604008552, 0.15685117869525328, 0.016609409798427927, -0.0030740119400434196, -0.0392368839091652, -0.21250166805399642, 0.12396807626278682, 0.21629853443252844, 0.0583476995496632, 0.25270042769805334, -0.424501470341296, -0.12121135127413404, 0.16491070904021898, 0.10554701570360052, 0.009910818671674601, 0.01885396445036999, -0.341769010268643, 0.049226847830341085, -0.1528262461223486, -0.2582787280354731, -0.10983728836444052, 0.051945803891662715, 0.13104526677608982, -0.22911497388690055, 0.08918441938502449, 0.04812819990687645, 0.09274860706716356, -0.1408887176690009, -0.11962016986729065, -0.06590134833918905, 0.0020411874955663313, 0.006659060972486879, -0.030062227069840325, 0.04109782014287763, -0.060241415549151515, -0.08322093940780058, 0.4009871340796843, -0.059986956750815425, -0.3185307055834558, 0.05738055941413392, -0.20314074981609706, -0.12942606736240642, 0.0749773089415752, 0.0859429054397189, 0.17566691019193648, -0.1114209406282548, 0.17952314898714547, -0.1452198131852668, 0.04884982027707028, 0.12122652406937309, 0.0339660217990628, 0.11369998539685384, 0.06273547897197224, 0.02158541407897956, 0.2000935707282234, -0.021170575937363677, -0.1379224755609367, -0.39075557298057684, -0.20809521070671277, -0.1414549328888265, 0.13723120663444904, -0.07428257453868135, -0.20675978888399327, 0.39039493042682705, 0.09642775705823634, 0.1334552694582841, 0.1510807716679135, 0.18138699339968817, 0.2267065438575298, 0.034893126892192025, 0.042614670107038795, 0.11067292260026539, 0.24004359165933187, 0.07209999003232671, -0.1838216898133876, -0.10295522412551301, 0.23227190028794192] |
709.3243 | Local electronic structure and magnetic properties of LaMn0.5Co0.5O3
studied by x-ray absorption and magnetic circular dichroism spectroscopy | We have studied the local electronic structure of LaMn0.5Co0.5O3 using
soft-x-ray absorption spectroscopy at the Co-L_3,2 and Mn-L_3,2 edges. We found
a high-spin Co^{2+}--Mn^{4+} valence state for samples with the optimal Curie
temperature. We discovered that samples with lower Curie temperatures contain
low-spin nonmagnetic Co^{3+} ions. Using soft-x-ray magnetic circular dichroism
we established that the Co^{2+} and Mn^{4+} ions are ferromagnetically aligned.
We revealed also that the Co^{2+} ions have a large orbital moment:
m_orb/m_spin ~ 0.47. Together with model calculations, this suggests the
presence of a large magnetocrystalline anisotropy in the material and predicts
a non-trivial temperature dependence for the magnetic susceptibility.
| cond-mat.str-el | we have studied the local electronic structure of lamn05co05o3 using softxray absorption spectroscopy at the col_32 and mnl_32 edges we found a highspin co2mn4 valence state for samples with the optimal curie temperature we discovered that samples with lower curie temperatures contain lowspin nonmagnetic co3 ions using softxray magnetic circular dichroism we established that the co2 and mn4 ions are ferromagnetically aligned we revealed also that the co2 ions have a large orbital moment m_orbm_spin 047 together with model calculations this suggests the presence of a large magnetocrystalline anisotropy in the material and predicts a nontrivial temperature dependence for the magnetic susceptibility | [['we', 'have', 'studied', 'the', 'local', 'electronic', 'structure', 'of', 'lamn05co05o3', 'using', 'softxray', 'absorption', 'spectroscopy', 'at', 'the', 'col_32', 'and', 'mnl_32', 'edges', 'we', 'found', 'a', 'highspin', 'co2mn4', 'valence', 'state', 'for', 'samples', 'with', 'the', 'optimal', 'curie', 'temperature', 'we', 'discovered', 'that', 'samples', 'with', 'lower', 'curie', 'temperatures', 'contain', 'lowspin', 'nonmagnetic', 'co3', 'ions', 'using', 'softxray', 'magnetic', 'circular', 'dichroism', 'we', 'established', 'that', 'the', 'co2', 'and', 'mn4', 'ions', 'are', 'ferromagnetically', 'aligned', 'we', 'revealed', 'also', 'that', 'the', 'co2', 'ions', 'have', 'a', 'large', 'orbital', 'moment', 'm_orbm_spin', '047', 'together', 'with', 'model', 'calculations', 'this', 'suggests', 'the', 'presence', 'of', 'a', 'large', 'magnetocrystalline', 'anisotropy', 'in', 'the', 'material', 'and', 'predicts', 'a', 'nontrivial', 'temperature', 'dependence', 'for', 'the', 'magnetic', 'susceptibility']] | [-0.13450304843178115, 0.23183629826220117, 0.018386978034371722, 0.03091458213328355, -0.01665710598307172, -0.11007235902025528, 0.10666613972424194, 0.4600410079295488, -0.2211549020727578, -0.3318268381558436, -0.011447410820503287, -0.3995899532719986, -0.033106480485077985, 0.11271589818247355, 0.11725660132186622, -0.024919596596707387, -0.014350086921038702, -0.03932703010193024, -0.09187898124548961, -0.20416552270762622, 0.22894126343896093, 0.058026469187791814, 0.26644043858671923, 0.10920084614940372, 0.07552024980013249, -0.006746150407407279, 0.18476129423337267, 0.07748039739840117, -0.13542122380277227, 0.07726875098287753, 0.2444662050459265, -0.09537227167603896, 0.15121451062966407, -0.4258566497604257, -0.17737975284053953, -0.01556212722909512, 0.08158160144578397, 0.17497894321520305, -0.14659423755539447, -0.24276133509564032, 0.03164882307449721, -0.12103839070757025, -0.14740300963791184, -0.16322803062377209, -0.025565809589455424, 0.012490356033763935, -0.29190191047652575, 0.13506547470316627, 0.04993344088008186, 0.16946761380962383, -0.19115298631668245, -0.20592249584259445, -0.1529783188298191, 0.006602685620105758, 0.07588525156168863, 0.049064465135950405, 0.15458844765809546, -0.018914264802024076, -0.10194686555409248, 0.3220904608708374, -0.08533022947340589, -0.010427714702337212, 0.16117596282076435, -0.26147932232148735, -0.17230050395886154, 0.2208515628116186, 0.08870891083185513, 0.14240947067881599, -0.11458527943006591, 0.06383932779900749, -0.032340158391551875, 0.24683557189136898, 0.042202761814420675, 0.06833615962454338, 0.27299679765842627, 0.14627243733974463, 0.011582807671355526, 0.1700299870338022, -0.19939529879940385, -0.0027466680273682494, -0.13734189993173807, -0.15763247702942834, -0.22090734606704762, 0.04703080442676455, -0.08717299518658486, -0.1631057762070415, 0.3517781642467244, 0.14382250113508752, 0.1806872645369011, -0.07980563179541801, 0.22089027770862138, 0.07582689630174913, 0.084283314285243, 0.10090895360047669, 0.27283600749467146, 0.21140278697244286, 0.1489877747995875, -0.3107769308016472, 0.1339123998072536, -0.016632441193652675] |
709.3244 | Spin currents in rough graphene nanoribbons: Universal fluctuations and
spin injection | We investigate spin conductance in zigzag graphene nanoribbons and propose a
spin injection mechanism based only on graphitic nanostructures. We find that
nanoribbons with atomically straight, symmetric edges show zero spin
conductance, but nonzero spin Hall conductance. Only nanoribbons with
asymmetrically shaped edges give rise to a finite spin conductance and can be
used for spin injection into graphene. Furthermore, nanoribbons with rough
edges exhibit mesoscopic spin conductance fluctuations with a universal value
of $\mathrm{rms} G_\mathrm{s}\approx 0.4 e/4\pi$.
| cond-mat.mes-hall | we investigate spin conductance in zigzag graphene nanoribbons and propose a spin injection mechanism based only on graphitic nanostructures we find that nanoribbons with atomically straight symmetric edges show zero spin conductance but nonzero spin hall conductance only nanoribbons with asymmetrically shaped edges give rise to a finite spin conductance and can be used for spin injection into graphene furthermore nanoribbons with rough edges exhibit mesoscopic spin conductance fluctuations with a universal value of mathrmrms g_mathrmsapprox 04 e4pi | [['we', 'investigate', 'spin', 'conductance', 'in', 'zigzag', 'graphene', 'nanoribbons', 'and', 'propose', 'a', 'spin', 'injection', 'mechanism', 'based', 'only', 'on', 'graphitic', 'nanostructures', 'we', 'find', 'that', 'nanoribbons', 'with', 'atomically', 'straight', 'symmetric', 'edges', 'show', 'zero', 'spin', 'conductance', 'but', 'nonzero', 'spin', 'hall', 'conductance', 'only', 'nanoribbons', 'with', 'asymmetrically', 'shaped', 'edges', 'give', 'rise', 'to', 'a', 'finite', 'spin', 'conductance', 'and', 'can', 'be', 'used', 'for', 'spin', 'injection', 'into', 'graphene', 'furthermore', 'nanoribbons', 'with', 'rough', 'edges', 'exhibit', 'mesoscopic', 'spin', 'conductance', 'fluctuations', 'with', 'a', 'universal', 'value', 'of', 'mathrmrms', 'g_mathrmsapprox', '04', 'e4pi']] | [-0.22999492520768824, 0.23923478299727688, -0.03712095302082114, -0.054785558929691065, -0.03621067594383033, -0.30307024145837536, 0.020259786542359885, 0.5015165159696495, -0.26396791951416376, -0.2448034736920487, -0.07737793498400405, -0.3196231182906535, -0.16006697658086558, 0.14679841688749465, 0.019998553378338165, 0.01562990266345925, 0.05383987755018782, -0.11604566402981276, -0.07603309552832326, -0.200927331825936, 0.1928331283005801, -0.08386450266925158, 0.29126973164739545, 0.15597205007956785, 0.05443274746830394, 0.036629807421719875, 0.1818975408972761, 0.11523696836446981, -0.21157860716356208, 0.01414706200049803, 0.25221465218376804, -0.30688589568818353, 0.113307200976974, -0.5588538287534052, -0.14120809634083084, -0.016528463408399325, 0.15168201627645206, 0.23587154480931047, -0.03900832649737645, -0.258645401009685, 0.09825325287370519, -0.14024156969730053, -0.058052417117642696, -0.06560192144681494, 0.017819059855461894, -0.06221170197906239, -0.1877015443313141, 0.13247331782764235, 0.08118590812936619, 0.043822969043893475, -0.0013975736945141832, -0.1730276131034865, -0.18090614022130702, -0.026298599565619384, -0.015733490510565506, -0.01827448265409315, 0.2749499099377494, -0.0953448929448987, -0.2052850478038482, 0.28563841556912506, -0.07249243700175316, -0.14222519748009643, 0.07774710636767378, -0.21246555529825098, -0.013781208315162689, 0.14088177018762602, 0.0631647427330495, 0.08441438010361578, -0.11819882582353017, 0.059247883712546294, -0.02434713478115472, 0.14458566446117332, 0.12660638469138316, 0.13610372482496616, 0.372110689687845, 0.17967457089621525, 0.18734148380576404, 0.14779841209090522, -0.15137259853556267, 0.025739219698861435, -0.16214219458981768, -0.18186996303885788, -0.23474496087156138, 0.2395998811373463, -0.07190203038308854, -0.3006085766745465, 0.47546531371288486, 0.16071101152882367, 0.2507606868559567, 0.044225200315235885, 0.22681971113257982, 0.16286271465216556, 0.07468160723227185, 0.05782861501438084, 0.1262049413128913, 0.25521589339069733, 0.061594836444098064, -0.2827670565358811, 0.07086387231292857, -0.035333992632154324] |
709.3245 | Modular analogues of Jordan's theorem for finite linear groups | In 1878, Jordan showed that a finite subgroup of GL(n,C) contains an abelian
normal subgroup whose index is bounded by a function of n alone. Previously,
the author has given precise bounds. Here, we consider analogues for finite
linear groups over algebraically closed fields of positive characteristic l. A
larger normal subgroup must be taken, to eliminate unipotent subgroups and
groups of Lie type and characteristic l, and we show that generically the bound
is similar to that in characteristic 0 - being (n+1)!, or (n+2)! when l divides
(n+2) - given by the faithful representations of minimal degree of the
symmetric groups. A complete answer for the optimal bounds is given for all
degrees n and every characteristic l.
| math.GR math.RT | in 1878 jordan showed that a finite subgroup of glnc contains an abelian normal subgroup whose index is bounded by a function of n alone previously the author has given precise bounds here we consider analogues for finite linear groups over algebraically closed fields of positive characteristic l a larger normal subgroup must be taken to eliminate unipotent subgroups and groups of lie type and characteristic l and we show that generically the bound is similar to that in characteristic 0 being n1 or n2 when l divides n2 given by the faithful representations of minimal degree of the symmetric groups a complete answer for the optimal bounds is given for all degrees n and every characteristic l | [['in', '1878', 'jordan', 'showed', 'that', 'a', 'finite', 'subgroup', 'of', 'glnc', 'contains', 'an', 'abelian', 'normal', 'subgroup', 'whose', 'index', 'is', 'bounded', 'by', 'a', 'function', 'of', 'n', 'alone', 'previously', 'the', 'author', 'has', 'given', 'precise', 'bounds', 'here', 'we', 'consider', 'analogues', 'for', 'finite', 'linear', 'groups', 'over', 'algebraically', 'closed', 'fields', 'of', 'positive', 'characteristic', 'l', 'a', 'larger', 'normal', 'subgroup', 'must', 'be', 'taken', 'to', 'eliminate', 'unipotent', 'subgroups', 'and', 'groups', 'of', 'lie', 'type', 'and', 'characteristic', 'l', 'and', 'we', 'show', 'that', 'generically', 'the', 'bound', 'is', 'similar', 'to', 'that', 'in', 'characteristic', '0', 'being', 'n1', 'or', 'n2', 'when', 'l', 'divides', 'n2', 'given', 'by', 'the', 'faithful', 'representations', 'of', 'minimal', 'degree', 'of', 'the', 'symmetric', 'groups', 'a', 'complete', 'answer', 'for', 'the', 'optimal', 'bounds', 'is', 'given', 'for', 'all', 'degrees', 'n', 'and', 'every', 'characteristic', 'l']] | [-0.19495815677485445, 0.1731382642772248, -0.07034888649675047, 0.043219483022428104, -0.09893939632654064, -0.18814446605047433, 0.015115050619696977, 0.32456949307835836, -0.279539517470304, -0.2393170178441678, 0.08653104129855095, -0.24787693777342595, -0.09592918982784564, 0.20155028649803125, -0.08998589563751751, -0.06361099178172742, -0.02311308694592977, 0.16563589460911007, -0.07912657946403438, -0.303295165618045, 0.3490443272413528, -0.07743425538637123, 0.2105706128157612, -0.007644648486116933, 0.08959988210255564, -0.0015725157997113163, -0.02814278721274666, 0.018004143815803324, -0.13967304087683738, 0.07289387387720773, 0.28358695850588217, 0.08087489310004828, 0.22629196959018896, -0.3480754078992828, -0.16683600919510602, 0.2477375041077829, 0.17574384876021767, 0.016770536395705353, -0.00334036246463025, -0.22484232816782038, 0.17599563798827703, -0.14117172591980662, -0.1736530584393669, -0.0031815451269937775, 0.17218954500868539, -0.03930542222224176, -0.27562454405982617, 0.0279739192071355, 0.12403972722073006, 0.15308422749956785, -0.051239909016195746, -0.15156244643632386, -0.039329161401838064, 0.11007043531177352, -0.03212042098688841, 0.03524468032548488, 0.04527618162337912, -0.07093976699067397, -0.09138471893650496, 0.35603164595757, -0.0979963481481487, -0.21520472708615965, 0.12522589840721024, -0.20268757631055126, -0.133811673995944, 0.16493232114935072, 0.09374677328298152, 0.14757720606354208, -0.015187910306726195, 0.21434020477848253, -0.1646772800486977, 0.11780073670413882, 0.08452906446941828, -0.012533124212680732, 0.10855696505030334, 0.0473323478541037, 0.09337022972009065, 0.1157277096487124, 0.052922055034472025, 0.047784374071821824, -0.383297929603417, -0.18036688437884657, -0.14161734342066004, 0.14380777807180153, -0.10675176383751855, -0.15021355836494368, 0.3902657368236174, 0.012621859412135209, 0.16554602661754114, 0.13454912343236097, 0.18326385376848658, 0.08682836904003033, 0.07438276292977192, 0.13085997613715167, 0.08181730552844829, 0.2034449573918009, -0.1281026667191142, -0.17549112784652576, -0.00010328634910411754, 0.13952234021614413] |
709.3246 | Bootstrap of means under stratified sampling | In a two-stage cluster sampling procedure, $n$ random populations are drawn
independently from independent populations and a sub-sample of observations is
taken in each of them. The estimator of the general mean of the observed
variables is asymptotically Gaussian and the asymptotic distributions of
several bootstrap versions of the normalized and studentized statistics are
studied. A weighted population resampling provides a good approximation and its
accuracy depends on the convergence rate of the sample size of the populations.
| math.ST stat.TH | in a twostage cluster sampling procedure n random populations are drawn independently from independent populations and a subsample of observations is taken in each of them the estimator of the general mean of the observed variables is asymptotically gaussian and the asymptotic distributions of several bootstrap versions of the normalized and studentized statistics are studied a weighted population resampling provides a good approximation and its accuracy depends on the convergence rate of the sample size of the populations | [['in', 'a', 'twostage', 'cluster', 'sampling', 'procedure', 'n', 'random', 'populations', 'are', 'drawn', 'independently', 'from', 'independent', 'populations', 'and', 'a', 'subsample', 'of', 'observations', 'is', 'taken', 'in', 'each', 'of', 'them', 'the', 'estimator', 'of', 'the', 'general', 'mean', 'of', 'the', 'observed', 'variables', 'is', 'asymptotically', 'gaussian', 'and', 'the', 'asymptotic', 'distributions', 'of', 'several', 'bootstrap', 'versions', 'of', 'the', 'normalized', 'and', 'studentized', 'statistics', 'are', 'studied', 'a', 'weighted', 'population', 'resampling', 'provides', 'a', 'good', 'approximation', 'and', 'its', 'accuracy', 'depends', 'on', 'the', 'convergence', 'rate', 'of', 'the', 'sample', 'size', 'of', 'the', 'populations']] | [-0.07241322825519511, 0.08115900084615135, -0.15708824471594432, 0.1092673105886206, 0.01961739501581551, -0.09843236581088068, 0.11482538368839484, 0.39362690889109403, -0.20332192739424032, -0.30357983230780333, 0.10324195068245992, -0.2860445937870118, -0.04875810616589987, 0.16544520717639571, -0.08630178646685985, 0.058118846266715526, 0.07186227693007542, 0.025180335299899943, -0.03468395866608868, -0.33773131900204295, 0.26162294662879926, 0.0661336223845585, 0.31759794007759923, -0.12497473942886035, 0.12914716246394584, 0.02349144194681102, -0.11017742936905378, 0.03896909256806024, -0.1171696302242195, 0.09520921726615574, 0.16871558043222207, 0.15617566326853613, 0.3464711877720383, -0.3160896120373367, -0.15127104342891237, 0.12292402519438511, 0.1689590587547849, 0.09208264739180987, -0.026939621668320913, -0.24232567299324542, 0.05156825076884184, -0.1142992599724004, -0.1368827048736887, 0.012738418857901333, -0.02434669213149531, 0.11944023577066568, -0.348170234893377, 0.141588425813004, 0.04483127365342508, 0.053320708887603804, -0.03691303140322606, -0.1874613093245082, -0.014740324997080442, 0.13913392775859207, 0.0474557646502478, -0.02373007797779372, 0.1289844329092795, -0.0924800381792757, -0.07255401486196579, 0.3037526123942091, -0.033922130337510355, -0.19055905154882333, 0.1704188497044528, -0.18656440402787083, -0.14735864828197429, 0.09938519342969625, 0.19351266626602945, 0.1416993223799345, -0.17345684293944102, 0.08881557223876604, -0.05531590718489427, 0.12551969065307042, 0.013834002965058271, 0.018558077452232678, 0.15933982422575355, 0.17179116149409077, 0.05150955572772103, 0.14761651978971294, -0.15838474607227956, -0.12129516921077783, -0.2959152987131324, -0.07803384884475516, -0.24377163476907673, 0.01999520813114941, -0.21947264301110034, -0.2099420849401026, 0.3932570108714012, 0.10984352990710296, 0.2085916681262927, 0.141613713462646, 0.24451913197453207, 0.13677703977252045, 0.008437960092217112, 0.07955054362089588, 0.1850167007352679, 0.21233040696153274, -0.004324582518818669, -0.1899759429656208, 0.1224146695771756, 0.033369029949729644] |
709.3247 | Recent results on 4-body, charm semileptonic decays | We summarize recent data on 4-body charm semileptonic decay concentrating on
\kklndk{} and \kpilndk{}. We begin with giving some motivation for the study of
these decays. We discuss several of the models traditionally used to describe
these decays and conclude by presenting a non-parametric analysis of \kpiendk{}
and its possible extension into non-parametric studies of \kpimndk{}.
| hep-ex | we summarize recent data on 4body charm semileptonic decay concentrating on kklndk and kpilndk we begin with giving some motivation for the study of these decays we discuss several of the models traditionally used to describe these decays and conclude by presenting a nonparametric analysis of kpiendk and its possible extension into nonparametric studies of kpimndk | [['we', 'summarize', 'recent', 'data', 'on', '4body', 'charm', 'semileptonic', 'decay', 'concentrating', 'on', 'kklndk', 'and', 'kpilndk', 'we', 'begin', 'with', 'giving', 'some', 'motivation', 'for', 'the', 'study', 'of', 'these', 'decays', 'we', 'discuss', 'several', 'of', 'the', 'models', 'traditionally', 'used', 'to', 'describe', 'these', 'decays', 'and', 'conclude', 'by', 'presenting', 'a', 'nonparametric', 'analysis', 'of', 'kpiendk', 'and', 'its', 'possible', 'extension', 'into', 'nonparametric', 'studies', 'of', 'kpimndk']] | [-0.020419181467821963, 0.10731479480790977, -0.07528538959853065, 0.11662478318724495, -0.08270865478194676, -0.11539983237162232, 0.07456539659492242, 0.3354656493936021, -0.2260884718539623, -0.23265211946832445, 0.1297002095111216, -0.3235665501561016, -0.0922556987677056, 0.20950423320755363, 0.009875462126309196, 0.10361088941191646, 0.06461864666870007, -0.014307931441670427, -0.07721753938844464, -0.23717699134543252, 0.3592885177439222, 0.0005422576617162961, 0.16571111913071945, 0.10312643156458552, 0.0011183850517856907, 0.019362616531837445, -0.19910721427116257, -0.030576618406205222, -0.2350626316261836, 0.1631961422972381, 0.1683289202033288, 0.22156995846979463, 0.24284886583112753, -0.44402221366404915, -0.1522149471566081, 0.11377846735726613, 0.16945541150366458, 0.11938234357736431, -0.09263434261531354, -0.3386159766143045, 0.0773121201648162, -0.15756465259003632, -0.07945076749624255, -0.16623487576054266, -0.022253982185457762, 0.010287095214992475, -0.2338999251727588, 0.041052067294143714, 0.03136117121455474, 0.06743694596941797, -0.03311285084838836, -0.22035414170330533, 0.08258101553208409, 0.061584317268660434, 0.1877479310720586, -0.0028144756126074265, 0.0945476275564243, -0.13982845661946788, -0.1778313795534464, 0.3517548026373753, -0.06118257268546866, -0.16835330383708844, 0.21551448713916427, -0.1508555491007148, -0.20658100462661913, 0.025550009682774544, 0.2643550782679365, 0.07550605576342115, -0.16515210781318063, 0.09456127759879634, -0.01646575229600645, 0.08231286839313376, -0.00207926747120487, 0.0471060902883227, 0.2019019931053313, 0.25890086845566446, -0.045762286691639856, 0.1516994772872959, -0.0924960432233862, -0.05304328427547052, -0.35977489393777573, -0.13620421722029838, -0.07557280006585643, 0.0793155332279499, -0.0159824796621531, -0.1279185145484427, 0.4731925379198331, 0.13955624160903077, 0.28349161941486484, 0.05983989766369072, 0.2804860906639638, 0.05913594726902934, 0.004581443025157428, 0.059026133304891676, 0.2513733976817233, 0.173383171549246, 0.06471154348065074, -0.22723551982870469, 0.022869991534837306, 0.004111101591171553] |
709.3248 | Fermion Number Fractionization | Solitons emerge as non-perturbative solutions of non-linear wave equations in
classical and quantum theories. These are non-dispersive and localised packets
of energy-remarkable properties for solutions of non-linear differential
equations. In presence of such objects, the solutions of Dirac equation lead to
the curious phenomenon of "fractional fermion number", a number which under
normal conditions takes strictly integral values. In this article, we describe
this accidental discovery and its manifestation in polyacetylene chains, which
has lead to the development of organic conductors.
| physics.pop-ph physics.gen-ph | solitons emerge as nonperturbative solutions of nonlinear wave equations in classical and quantum theories these are nondispersive and localised packets of energyremarkable properties for solutions of nonlinear differential equations in presence of such objects the solutions of dirac equation lead to the curious phenomenon of fractional fermion number a number which under normal conditions takes strictly integral values in this article we describe this accidental discovery and its manifestation in polyacetylene chains which has lead to the development of organic conductors | [['solitons', 'emerge', 'as', 'nonperturbative', 'solutions', 'of', 'nonlinear', 'wave', 'equations', 'in', 'classical', 'and', 'quantum', 'theories', 'these', 'are', 'nondispersive', 'and', 'localised', 'packets', 'of', 'energyremarkable', 'properties', 'for', 'solutions', 'of', 'nonlinear', 'differential', 'equations', 'in', 'presence', 'of', 'such', 'objects', 'the', 'solutions', 'of', 'dirac', 'equation', 'lead', 'to', 'the', 'curious', 'phenomenon', 'of', 'fractional', 'fermion', 'number', 'a', 'number', 'which', 'under', 'normal', 'conditions', 'takes', 'strictly', 'integral', 'values', 'in', 'this', 'article', 'we', 'describe', 'this', 'accidental', 'discovery', 'and', 'its', 'manifestation', 'in', 'polyacetylene', 'chains', 'which', 'has', 'lead', 'to', 'the', 'development', 'of', 'organic', 'conductors']] | [-0.22360455353045836, 0.13799140783958136, -0.08076471510867123, 0.05118045353738125, -0.0895057196932612, -0.14326788720209152, -0.011548438659519888, 0.26297882231883707, -0.24547928167739883, -0.27004219917580485, 0.08169773359113605, -0.2961308163474314, -0.21263095829635859, 0.17188538024201988, -0.023287676769541577, 0.06383028603540879, 0.010310727266187314, 0.015434670564718544, -0.06720355702564121, -0.20043881055898966, 0.32853794535622, -0.05709084465888736, 0.25124838488700335, 0.02264783373902901, 0.10602620588615537, -0.03582015349966241, 0.04667728440253995, 0.001204798649996519, -0.13741532010026275, 0.07821605034405366, 0.2936967645189725, 0.009740776411490515, 0.23145697829313577, -0.49258873020298777, -0.24088341762544588, 0.08996965922415257, 0.1600866812208551, 0.1504676062933868, -0.06586428383598104, -0.3103822525590658, 0.057347206503618506, -0.14042457888135687, -0.2273350799223408, -0.08143460944993422, 0.0014287929167039692, 0.058069010730832815, -0.19805947045097128, 0.12541897199407687, 0.07418628446757794, 0.013841008173767478, -0.09595635782025055, -0.0725901294266805, -0.015891460090642795, 0.04211301414761692, 0.11793731366633438, -0.07291136115672998, 0.04033685008289467, -0.2145057208079379, -0.11618889891542494, 0.3992854399024509, -0.06112724466947839, -0.23548794300349982, 0.19423248602834065, -0.11972353169694543, -0.100353693269426, 0.17155372397392057, 0.1741596185747767, 0.14286400169949048, -0.13050238656578586, 0.0950505367894948, -0.05594367795256403, 0.09400942190550268, 0.0977074714290211, 0.15042003700509668, 0.22124794479459525, 0.12861788200680166, 0.06755530070513487, 0.11816261480562389, -0.02060250621289015, -0.15442488760745618, -0.3224008127115667, -0.2000506890937686, -0.12134793798613827, 0.11032840881143784, -0.043129014921760245, -0.24529361465247349, 0.42206862532766537, 0.13478074226513853, 0.13473075937945395, -0.026569406795897522, 0.17801275285019075, 0.20750407489103964, 0.05568014869641047, 0.012073870286985765, 0.21492771999910473, 0.17552940968889744, 0.1344903045799583, -0.23026207458460704, 0.019959453697083518, 0.09727564374916256] |
709.3249 | NLO jet production in k_T factorization | We discuss the inclusive production of jets in the central region of rapidity
in the context of k_T-factorization at next-to-leading order (NLO).
Calculations are performed in the Regge limit making use of the NLO BFKL
results. We introduce a jet cone definition and carry out a proper phase--space
separation into multi-Regge and quasi-multi-Regge kinematic regions. We discuss
two situations: scattering of highly virtual photons, which requires a
symmetric energy scale to separate impact factors from the gluon Green's
function, and hadron-hadron collisions, where a non-symmetric scale choice is
needed.
| hep-ph | we discuss the inclusive production of jets in the central region of rapidity in the context of k_tfactorization at nexttoleading order nlo calculations are performed in the regge limit making use of the nlo bfkl results we introduce a jet cone definition and carry out a proper phasespace separation into multiregge and quasimultiregge kinematic regions we discuss two situations scattering of highly virtual photons which requires a symmetric energy scale to separate impact factors from the gluon greens function and hadronhadron collisions where a nonsymmetric scale choice is needed | [['we', 'discuss', 'the', 'inclusive', 'production', 'of', 'jets', 'in', 'the', 'central', 'region', 'of', 'rapidity', 'in', 'the', 'context', 'of', 'k_tfactorization', 'at', 'nexttoleading', 'order', 'nlo', 'calculations', 'are', 'performed', 'in', 'the', 'regge', 'limit', 'making', 'use', 'of', 'the', 'nlo', 'bfkl', 'results', 'we', 'introduce', 'a', 'jet', 'cone', 'definition', 'and', 'carry', 'out', 'a', 'proper', 'phasespace', 'separation', 'into', 'multiregge', 'and', 'quasimultiregge', 'kinematic', 'regions', 'we', 'discuss', 'two', 'situations', 'scattering', 'of', 'highly', 'virtual', 'photons', 'which', 'requires', 'a', 'symmetric', 'energy', 'scale', 'to', 'separate', 'impact', 'factors', 'from', 'the', 'gluon', 'greens', 'function', 'and', 'hadronhadron', 'collisions', 'where', 'a', 'nonsymmetric', 'scale', 'choice', 'is', 'needed']] | [-0.0989838948530888, 0.13922161332153704, -0.1919267786813251, 0.1624718272726292, -0.0556950836620304, -0.01435839868768045, -0.0003569105095910222, 0.38488750536455196, -0.17758440352934465, -0.20484404431216502, -0.030944333248248513, -0.284433458052743, 0.020387743191605204, 0.09503469039330238, 0.061612509951986937, 0.09587313557498868, 0.09464579991201001, -0.04824120968350031, -0.0668098444826744, -0.16395744441987506, 0.3847155799288721, 0.04478132063941507, 0.18585111019777112, 0.17663974406490668, 0.10203682811240132, 0.10130512356768583, -0.10909587051392418, -0.02795529274500153, -0.10943014267832041, 0.07577000123617407, 0.2978347678867619, 0.026228943708865495, 0.1954759038267644, -0.3924390273901184, -0.09255350590421912, 0.0480443611741066, 0.18613473323613322, 0.09144166009526783, 0.010075270977875824, -0.22214577965480223, 0.058525242677921155, -0.25220946296840235, -0.1676870047590915, -0.09430787365967302, -0.033252344984728635, -0.05452804288335061, -0.3130328866255501, 0.07851271260937864, -0.04048140810572364, -0.00954142086846516, 0.05315967017962608, -0.13877028200168456, -0.04640623450467593, 0.06688108548438282, 0.08899421174487288, 0.06428022301504703, 0.20127166115961384, -0.21491612678882926, -0.17935855587253743, 0.41085140197799447, 0.027908417724564757, -0.19693824345392458, 0.1544490141736532, -0.2559542213409637, -0.1710200465985396, 0.14848299234519513, 0.24356875822910767, 0.16291980041463053, -0.1877837747615354, 0.13067285479844307, 0.010111165333021265, 0.15581573707311874, 0.1143424778370961, 0.08016536189138554, 0.15837477487668897, 0.18067054713165828, -0.04591422010045708, 0.1260934991767274, -0.13603852529162436, -0.1465110946865229, -0.46728167349075, -0.10626962505741401, -0.06776346869013283, 0.041314872578205014, -0.13042322472682918, -0.12132791984365897, 0.34589668906429843, 0.1243034840858701, 0.27149555672567044, 0.029920450559545182, 0.32964971720167763, 0.12325757028655347, 0.07222245505414485, 0.11793062952085492, 0.2775786060871284, 0.15383829455037884, 0.1214714860098876, -0.22584993553640886, 0.004721827475416861, 0.11174844860444579] |
709.325 | Self-teleportation and its application on LOCC estimation and other
tasks | A way to characterize quantum nonlocality is to see difference in the figure
of merit between LOCC optimal protocol and globally optimal protocol in doing
certain task, e.g., state estimation, state discrimination, cloning and
broadcasting. Especially, we focus on the case where $n$ tensor of unknown
states.
Our conclusion is that separable pure states are more non-local than
entangled pure states. More specifically, the difference in the figure of the
merit is exponentially small if the state is entangled, and the exponent is log
of the largest Schmidt coefficient. On the other hand, in many cases,
estimation of separable states by LOCC is worse than the global optimal
estimate by $O(\frac{1}{n})$.
To show that the gap is exponentially small for entangled states, we propose
self-teleportation protocol as the key component of construct of LOCC
protocols. Objective of the protocol is to transfer Alice's part of quantum
information by LOCC, using intrinsic entanglement of $| \phi_{\theta}>
^{\otimes n}$ without using any extra resources. This protocol itself is of
interest in its own right.
| quant-ph | a way to characterize quantum nonlocality is to see difference in the figure of merit between locc optimal protocol and globally optimal protocol in doing certain task eg state estimation state discrimination cloning and broadcasting especially we focus on the case where n tensor of unknown states our conclusion is that separable pure states are more nonlocal than entangled pure states more specifically the difference in the figure of the merit is exponentially small if the state is entangled and the exponent is log of the largest schmidt coefficient on the other hand in many cases estimation of separable states by locc is worse than the global optimal estimate by ofrac1n to show that the gap is exponentially small for entangled states we propose selfteleportation protocol as the key component of construct of locc protocols objective of the protocol is to transfer alices part of quantum information by locc using intrinsic entanglement of phi_theta otimes n without using any extra resources this protocol itself is of interest in its own right | [['a', 'way', 'to', 'characterize', 'quantum', 'nonlocality', 'is', 'to', 'see', 'difference', 'in', 'the', 'figure', 'of', 'merit', 'between', 'locc', 'optimal', 'protocol', 'and', 'globally', 'optimal', 'protocol', 'in', 'doing', 'certain', 'task', 'eg', 'state', 'estimation', 'state', 'discrimination', 'cloning', 'and', 'broadcasting', 'especially', 'we', 'focus', 'on', 'the', 'case', 'where', 'n', 'tensor', 'of', 'unknown', 'states', 'our', 'conclusion', 'is', 'that', 'separable', 'pure', 'states', 'are', 'more', 'nonlocal', 'than', 'entangled', 'pure', 'states', 'more', 'specifically', 'the', 'difference', 'in', 'the', 'figure', 'of', 'the', 'merit', 'is', 'exponentially', 'small', 'if', 'the', 'state', 'is', 'entangled', 'and', 'the', 'exponent', 'is', 'log', 'of', 'the', 'largest', 'schmidt', 'coefficient', 'on', 'the', 'other', 'hand', 'in', 'many', 'cases', 'estimation', 'of', 'separable', 'states', 'by', 'locc', 'is', 'worse', 'than', 'the', 'global', 'optimal', 'estimate', 'by', 'ofrac1n', 'to', 'show', 'that', 'the', 'gap', 'is', 'exponentially', 'small', 'for', 'entangled', 'states', 'we', 'propose', 'selfteleportation', 'protocol', 'as', 'the', 'key', 'component', 'of', 'construct', 'of', 'locc', 'protocols', 'objective', 'of', 'the', 'protocol', 'is', 'to', 'transfer', 'alices', 'part', 'of', 'quantum', 'information', 'by', 'locc', 'using', 'intrinsic', 'entanglement', 'of', 'phi_theta', 'otimes', 'n', 'without', 'using', 'any', 'extra', 'resources', 'this', 'protocol', 'itself', 'is', 'of', 'interest', 'in', 'its', 'own', 'right']] | [-0.16269810166390414, 0.1640789480652583, -0.09463078856258791, 0.041957617986715844, -0.002693437227563238, -0.2545229752421291, 0.07779064675043584, 0.3552281990448928, -0.25992778865289845, -0.27237391998142707, 0.08771523108813338, -0.28399098104075393, -0.10206897075862496, 0.1894629936604678, -0.09653527160401087, 0.09144940101219542, 0.06362931277140005, 0.0660278062203888, -0.04844063684515126, -0.268571713092026, 0.3506921959941733, 0.02906406974108592, 0.30969656388324923, 0.004524377032772765, 0.06772779572972774, 0.0168468940854293, 0.026759955029074963, -0.0479744664129472, -0.0913138143287196, 0.10833669872368967, 0.2931308267009858, 0.17506115416825346, 0.28516203422407954, -0.36281840969428153, -0.16337933665769694, 0.16734438859885173, 0.10994080978901381, 0.14272766445140692, 0.02656176276887304, -0.28396759568796265, 0.06008294267998733, -0.19249366372052204, -0.06329688473522646, -0.08501232449604562, 0.03483444318649243, -0.083302470596408, -0.2693830855526912, 0.12376940864435887, 0.059047877654907176, 0.008610812616506976, 0.0018782542946820075, -0.0817515207206577, -0.01889675039627187, 0.14760004099356505, -0.0384331781364779, 0.007625735873224203, 0.14468958601080015, -0.16097785286280222, -0.13308202800101232, 0.3347335743701317, -0.035944895760449666, -0.2235894392343712, 0.12389844489564909, -0.11358492980647789, -0.08194344630464911, 0.04753945669511983, 0.09801846454140438, 0.12959334671844525, -0.08684608925370907, 0.07254079364952438, -0.0735872079592099, 0.22554999097255912, 0.0419769936610432, 0.14182628530281535, 0.08451890224899501, 0.09107969766317388, 0.1955622046391656, 0.19133599676479746, -0.020995112236233748, -0.13956701087065526, -0.29234814039602347, -0.21969179199600714, -0.29118381317473463, 0.09658432062090162, -0.0725250636164916, -0.08057720139526249, 0.38537622810087924, 0.11200811678664924, 0.1461405592571707, 0.017799891875891465, 0.31147895843760504, 0.06531788327472185, 0.00977714531972299, 0.12781875229202289, 0.26352712155193003, 0.11293538850897471, 0.031671809258501556, -0.2361730662912968, 0.13366030312774252, 0.021091444875229393] |
709.3251 | Widespread Occurrence of Trenching Patterns in the Granulation Field:
Evidence for Roll Convection? | Time-averaged series of granulation images are analysed using COLIBRI, a
purpose-adapted version of a code originally developed to detect straight or
curvilinear features in aerospace images. The algorithm of image processing
utilises a nonparametric statistical criterion that identifies a straight-line
segment as a linear feature (lineament) if the photospheric brightness at a
certain distance from this line is on both sides stochastically lower or higher
than at the line itself. Curvilinear features can be detected as chains of
lineaments, using a criterion modified in some way. Once the input parameters
used by the algorithm are properly adjusted, the algorithm highlights
``ridges'' and ``trenches'' in the relief of the brightness field, drawing
white and dark lanes. The most remarkable property of the trenching patterns is
a nearly-universally-present parallelism of ridges and trenches. Since the
material upflows are brighter than the downflows, the alternating parallel
light and dark lanes should reflect the presence of roll convection in the
subphotospheric layers. If the numerous images processed by us are
representative, the patterns revealed suggest a widespread occurrence of roll
convection in the outer solar convection zone. In particular, the roll systems
could form the fine structure of larger-scale, supergranular and/or
mesogranular convection flows. Granules appear to be overheated blobs of
material that could develop in convection rolls due to some instabilities of
roll motion.
| astro-ph | timeaveraged series of granulation images are analysed using colibri a purposeadapted version of a code originally developed to detect straight or curvilinear features in aerospace images the algorithm of image processing utilises a nonparametric statistical criterion that identifies a straightline segment as a linear feature lineament if the photospheric brightness at a certain distance from this line is on both sides stochastically lower or higher than at the line itself curvilinear features can be detected as chains of lineaments using a criterion modified in some way once the input parameters used by the algorithm are properly adjusted the algorithm highlights ridges and trenches in the relief of the brightness field drawing white and dark lanes the most remarkable property of the trenching patterns is a nearlyuniversallypresent parallelism of ridges and trenches since the material upflows are brighter than the downflows the alternating parallel light and dark lanes should reflect the presence of roll convection in the subphotospheric layers if the numerous images processed by us are representative the patterns revealed suggest a widespread occurrence of roll convection in the outer solar convection zone in particular the roll systems could form the fine structure of largerscale supergranular andor mesogranular convection flows granules appear to be overheated blobs of material that could develop in convection rolls due to some instabilities of roll motion | [['timeaveraged', 'series', 'of', 'granulation', 'images', 'are', 'analysed', 'using', 'colibri', 'a', 'purposeadapted', 'version', 'of', 'a', 'code', 'originally', 'developed', 'to', 'detect', 'straight', 'or', 'curvilinear', 'features', 'in', 'aerospace', 'images', 'the', 'algorithm', 'of', 'image', 'processing', 'utilises', 'a', 'nonparametric', 'statistical', 'criterion', 'that', 'identifies', 'a', 'straightline', 'segment', 'as', 'a', 'linear', 'feature', 'lineament', 'if', 'the', 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709.3252 | BFKL resummation effects in exclusive production of rho meson pairs at
the ILC | We calculate the Born order cross-section for the exclusive production of rho
meson pairs in e+e- scattering in the Regge limit of QCD and we show the
feasibility of the measurement of this process at the ILC. We also investigate
the leading and next-to-leading order BFKL evolution, making this process a
very clean test of the BFKL resummation effects.
| hep-ph | we calculate the born order crosssection for the exclusive production of rho meson pairs in ee scattering in the regge limit of qcd and we show the feasibility of the measurement of this process at the ilc we also investigate the leading and nexttoleading order bfkl evolution making this process a very clean test of the bfkl resummation effects | [['we', 'calculate', 'the', 'born', 'order', 'crosssection', 'for', 'the', 'exclusive', 'production', 'of', 'rho', 'meson', 'pairs', 'in', 'ee', 'scattering', 'in', 'the', 'regge', 'limit', 'of', 'qcd', 'and', 'we', 'show', 'the', 'feasibility', 'of', 'the', 'measurement', 'of', 'this', 'process', 'at', 'the', 'ilc', 'we', 'also', 'investigate', 'the', 'leading', 'and', 'nexttoleading', 'order', 'bfkl', 'evolution', 'making', 'this', 'process', 'a', 'very', 'clean', 'test', 'of', 'the', 'bfkl', 'resummation', 'effects']] | [-0.10136235681741293, 0.09374993461010567, -0.16828702051602937, 0.14673557971295617, -0.01033248384167456, -0.006957949352277033, 0.05987475319149888, 0.31678770106854076, -0.21589102160374998, -0.1646970067236383, 0.0033761740512198816, -0.3426950512359203, -0.014342632937892261, 0.07125448624966509, 0.12956968307400407, 0.1427135816380634, 0.08286105071083974, 0.028499715929945647, -0.055218304499541807, -0.23603957507885615, 0.3540631641902156, 0.08397117343147174, 0.20371292635672172, 0.18100492192148152, 0.06513240860806684, 0.10777140860209021, -0.0605038134849796, -0.08829129888218339, -0.11295178198744937, 0.07208027095747006, 0.25892803312863333, 0.011475853432538145, 0.14296619866390603, -0.3640607142726244, -0.06742166247913393, 0.09043664461538448, 0.16488280058917354, 0.12051848407392785, 0.007255525912268687, -0.24676968019960796, 0.1078939428158357, -0.2629625277625302, -0.1462145471724413, -0.10602778964281334, -0.028632752905142004, -0.08071762872701985, -0.3369597702965898, 0.051050184258571586, -0.005334226201462038, -0.04787036531478545, 0.03449682909127135, -0.11648423410952091, 0.003170363174877682, 0.07602712826929607, 0.08202085081957501, 0.03039355872798774, 0.13631063458999082, -0.24317004993336938, -0.18822610229885173, 0.4198674115083985, -0.06669086234060005, -0.14080667904562363, 0.1334212007932365, -0.3114786752247078, -0.16018615914035148, 0.10688776934866683, 0.2599167823791504, 0.13688652795222508, -0.21789675662925434, 0.14440848880202778, 0.05139530412221359, 0.12732902310899127, 0.10897802769095968, 0.05462787330340026, 0.14612410463771577, 0.260986113447254, -0.06043026804671449, 0.1281436639758995, -0.1407224735308249, -0.06841299628396913, -0.48021561248322664, -0.15045101179788678, -0.07114831018814091, 0.05225539923314068, -0.10619455289393584, -0.12038672128218715, 0.3603312687916776, 0.1760346154066718, 0.27050586013218103, 0.06906633535242182, 0.33154030958727254, 0.18959955091319852, 0.033576337928425966, 0.05468052341523817, 0.3244154352568469, 0.16302374074772252, 0.119618753886829, -0.3394109952752873, 0.033412731071081704, 0.051373687620132655] |
709.3253 | Are there approximate relations among transverse momentum dependent
distribution functions? | Certain exact relations among transverse momentum dependent parton
distribution functions due to QCD equations of motion turn into approximate
ones upon the neglect of pure twist-3 terms. On the basis of available data
from HERMES we test the practical usefulness of one such
``Wandzura-Wilczek-type approximation'', namely of that connecting
h_{1L}^{\perp(1)a}(x) to h_L^a(x), and discuss how it can be further tested by
future CLAS and COMPASS data.
| hep-ph | certain exact relations among transverse momentum dependent parton distribution functions due to qcd equations of motion turn into approximate ones upon the neglect of pure twist3 terms on the basis of available data from hermes we test the practical usefulness of one such wandzurawilczektype approximation namely of that connecting h_1lperp1ax to h_lax and discuss how it can be further tested by future clas and compass data | [['certain', 'exact', 'relations', 'among', 'transverse', 'momentum', 'dependent', 'parton', 'distribution', 'functions', 'due', 'to', 'qcd', 'equations', 'of', 'motion', 'turn', 'into', 'approximate', 'ones', 'upon', 'the', 'neglect', 'of', 'pure', 'twist3', 'terms', 'on', 'the', 'basis', 'of', 'available', 'data', 'from', 'hermes', 'we', 'test', 'the', 'practical', 'usefulness', 'of', 'one', 'such', 'wandzurawilczektype', 'approximation', 'namely', 'of', 'that', 'connecting', 'h_1lperp1ax', 'to', 'h_lax', 'and', 'discuss', 'how', 'it', 'can', 'be', 'further', 'tested', 'by', 'future', 'clas', 'and', 'compass', 'data']] | [-0.05783386860821338, 0.1438510833249893, -0.13976402414846234, 0.11865289659181144, -0.11136364753474481, -0.0697103543789126, 0.03243868234130787, 0.3496928413514979, -0.23608382645761594, -0.24592849743930856, 0.04298029547499027, -0.3009129307793046, -0.057506050914525986, 0.20483562804292887, 0.05192735110904323, 0.10549541107138793, 0.10587469569873065, -0.04571883397875354, -0.06779556920446339, -0.23516533814108698, 0.3649462787434459, 0.05938504633377306, 0.3011406175792217, 0.09835903545172187, 0.11614568309232709, 0.07516006749938242, -0.07945017196470872, 0.005741546687204391, -0.0968200301978186, 0.1031290853570681, 0.2715941070346162, 0.15671666809066664, 0.15224359721469227, -0.43857119185850024, -0.11979139869799837, 0.05285811121575534, 0.1510969475057209, 0.10147524685817189, 0.022131520256152726, -0.28661059412843315, 0.03672411245042895, -0.20293365655379603, -0.15566538650455186, -0.18200699643057305, -0.013082784520520363, 0.07098338699142914, -0.25394633515679743, 0.06467617240559775, 0.00106407368730288, 0.009769839423825033, -0.0462959418000537, -0.2153930007116287, -0.050214896553370636, 0.10637876584860351, 0.07656062379464856, 0.09207271585182752, 0.09906995499477489, -0.16034929252055008, -0.15059697939432226, 0.3965129627613351, -0.00917422361089848, -0.25453744051628746, 0.10853278887225315, -0.18269975714065367, -0.1364797178466688, 0.07854702821350656, 0.2172399895498529, 0.06728247286082478, -0.20520197270707285, 0.08150090339586313, -0.026414855565235484, 0.11974650678166654, 0.11064639595861081, 0.05429585190722719, 0.17097483766337973, 0.10620945869595744, -0.022879340271174442, 0.11588764852604072, -0.05973304258441203, -0.1584741708375077, -0.34067725950262684, -0.08251836380986788, -0.17818880077902577, 0.06459040437039221, -0.11200051338482808, -0.10752718934782024, 0.36875203397357836, 0.20316026596265147, 0.20482763225300005, 0.017214511855854653, 0.31831671309191734, 0.11479969360425457, 0.08263643262762344, 0.03319896363973385, 0.21188576212443877, 0.13711253500150633, 0.07293500836385647, -0.23339924499668996, 0.080197617491649, 0.03797539052902721] |
709.3254 | Higher Order Perturbations Around Backgrounds with One Non-Homogeneous
Dimension | It is shown that perturbations around backgrounds with one non-homogeneous
dimension, namely of co-homogeneity 1, can be canonically simplified, a
property that is shown to hold to any order in perturbation theory. Recalling
that the problem naturally reduces to 1d, a procedure is described whereby for
each gauge function in 1d two 1d fields are eliminated from the action - one is
gauge and can be eliminated without a constraint and the other is auxiliary.
These results generalize the results of hep-th/0609001 from linear to
non-linear perturbations and they unify two cases of physical interest:
cosmological perturbations and perturbations to static spherically symmetric
backgrounds. An application to black strings is discussed in some detail.
| hep-th gr-qc | it is shown that perturbations around backgrounds with one nonhomogeneous dimension namely of cohomogeneity 1 can be canonically simplified a property that is shown to hold to any order in perturbation theory recalling that the problem naturally reduces to 1d a procedure is described whereby for each gauge function in 1d two 1d fields are eliminated from the action one is gauge and can be eliminated without a constraint and the other is auxiliary these results generalize the results of hepth0609001 from linear to nonlinear perturbations and they unify two cases of physical interest cosmological perturbations and perturbations to static spherically symmetric backgrounds an application to black strings is discussed in some detail | [['it', 'is', 'shown', 'that', 'perturbations', 'around', 'backgrounds', 'with', 'one', 'nonhomogeneous', 'dimension', 'namely', 'of', 'cohomogeneity', '1', 'can', 'be', 'canonically', 'simplified', 'a', 'property', 'that', 'is', 'shown', 'to', 'hold', 'to', 'any', 'order', 'in', 'perturbation', 'theory', 'recalling', 'that', 'the', 'problem', 'naturally', 'reduces', 'to', '1d', 'a', 'procedure', 'is', 'described', 'whereby', 'for', 'each', 'gauge', 'function', 'in', '1d', 'two', '1d', 'fields', 'are', 'eliminated', 'from', 'the', 'action', 'one', 'is', 'gauge', 'and', 'can', 'be', 'eliminated', 'without', 'a', 'constraint', 'and', 'the', 'other', 'is', 'auxiliary', 'these', 'results', 'generalize', 'the', 'results', 'of', 'hepth0609001', 'from', 'linear', 'to', 'nonlinear', 'perturbations', 'and', 'they', 'unify', 'two', 'cases', 'of', 'physical', 'interest', 'cosmological', 'perturbations', 'and', 'perturbations', 'to', 'static', 'spherically', 'symmetric', 'backgrounds', 'an', 'application', 'to', 'black', 'strings', 'is', 'discussed', 'in', 'some', 'detail']] | [-0.11508414944442588, 0.14921917646915972, -0.07738999913064097, 0.09027315790133018, -0.09743104947847314, -0.17306731760618277, -0.08859105842774236, 0.34816637029247693, -0.2584405404590403, -0.2524231208704545, 0.13577000574462414, -0.27506654791899826, -0.16237564830225892, 0.1850281014922075, -0.07818871704096507, 0.027853633589984383, 0.011095110859189714, 0.07112540505477227, -0.08422592525416153, -0.29787064036229693, 0.3668213521720775, 0.01683248469323319, 0.22235946091989586, -0.0012892976540440162, 0.06973649962206505, -0.018261107004946098, -0.009863921773752995, 0.08191933137288743, -0.07490091946439341, 0.05157505196049377, 0.23959328061911428, 0.10300881435770341, 0.2169392713403795, -0.4239721783503358, -0.27415251612131086, 0.11060032575291448, 0.13417823949462868, 0.1976122884828198, -0.031038725790235082, -0.28053637347433585, 0.12421987359578322, -0.1460932465976969, -0.16818514691840392, -0.08727001022530853, -0.003678559570939147, -0.0262200590975356, -0.30981574087802854, 0.056696063913737556, 0.08684726472399364, -0.05117537038625285, -0.08382892982003146, -0.04651978118428295, -0.04682013755830537, 0.09256119406096072, 0.10525882133099783, 0.03855398229123758, 0.11993584070504378, -0.11817180818096469, -0.12250742104931435, 0.407940534538024, -0.0829136611895852, -0.3117581070899697, 0.1863748912941706, -0.11600518406235746, -0.14270904830066553, 0.1021545847449618, 0.12290986796558302, 0.12080459976901434, -0.16064756095043517, 0.13943368183605084, -0.007397916689764575, 0.15555716886696505, 0.09959126533690973, 0.011363468548682119, 0.20585270715569745, 0.07958094843239191, 0.07100650522105363, 0.14895823315029183, 0.012511463270389609, -0.10990860293635965, -0.32335712966076763, -0.10289764650847896, -0.14202352916306285, 0.07274379140497851, -0.09700209647780866, -0.1519453887693609, 0.37726410723657217, 0.1506522421259433, 0.17030743739659165, 0.029192994519170106, 0.2446014512097463, 0.12236493348609656, 0.05430836381856352, 0.06561741701859448, 0.24978881869511887, 0.1598967828093529, 0.04696765991060862, -0.15431374796337746, -0.05268942995046798, 0.08564900601673539] |
709.3255 | A new calibration of Galactic Cepheid Period-Luminosity relations from B
to K bands, and a comparison to LMC PL relations | The universality of the Cepheid Period-Luminosity relations has been under
discussion since metallicity effects have been assumed to play a role in the
value of the intercept and, more recently, of the slope of these relations. The
goal of the present study is to calibrate the Galactic PL relations in various
photometric bands (from B to K) and to compare the results to the
well-established PL relations in the LMC. We use a set of 59 calibrating stars,
the distances of which are measured using five different distance indicators:
Hubble Space Telescope and revised Hipparcos parallaxes, infrared surface
brightness and interferometric Baade-Wesselink parallaxes, and classical
Zero-Age-Main-Sequence-fitting parallaxes for Cepheids belonging to open
clusters or OB stars associations. A detailed discussion of absorption
corrections and projection factor to be used is given. We find no significant
difference in the slopes of the PL relations between LMC and our Galaxy. We
conclude that the Cepheid PL relations have universal slopes in all photometric
bands, not depending on the galaxy under study (at least for LMC and Milky
Way). The possible zero-point variation with metal content is not discussed in
the present work, but an upper limit of 18.50 for the LMC distance modulus can
be deduced from our data.
| astro-ph | the universality of the cepheid periodluminosity relations has been under discussion since metallicity effects have been assumed to play a role in the value of the intercept and more recently of the slope of these relations the goal of the present study is to calibrate the galactic pl relations in various photometric bands from b to k and to compare the results to the wellestablished pl relations in the lmc we use a set of 59 calibrating stars the distances of which are measured using five different distance indicators hubble space telescope and revised hipparcos parallaxes infrared surface brightness and interferometric baadewesselink parallaxes and classical zeroagemainsequencefitting parallaxes for cepheids belonging to open clusters or ob stars associations a detailed discussion of absorption corrections and projection factor to be used is given we find no significant difference in the slopes of the pl relations between lmc and our galaxy we conclude that the cepheid pl relations have universal slopes in all photometric bands not depending on the galaxy under study at least for lmc and milky way the possible zeropoint variation with metal content is not discussed in the present work but an upper limit of 1850 for the lmc distance modulus can be deduced from our data | [['the', 'universality', 'of', 'the', 'cepheid', 'periodluminosity', 'relations', 'has', 'been', 'under', 'discussion', 'since', 'metallicity', 'effects', 'have', 'been', 'assumed', 'to', 'play', 'a', 'role', 'in', 'the', 'value', 'of', 'the', 'intercept', 'and', 'more', 'recently', 'of', 'the', 'slope', 'of', 'these', 'relations', 'the', 'goal', 'of', 'the', 'present', 'study', 'is', 'to', 'calibrate', 'the', 'galactic', 'pl', 'relations', 'in', 'various', 'photometric', 'bands', 'from', 'b', 'to', 'k', 'and', 'to', 'compare', 'the', 'results', 'to', 'the', 'wellestablished', 'pl', 'relations', 'in', 'the', 'lmc', 'we', 'use', 'a', 'set', 'of', '59', 'calibrating', 'stars', 'the', 'distances', 'of', 'which', 'are', 'measured', 'using', 'five', 'different', 'distance', 'indicators', 'hubble', 'space', 'telescope', 'and', 'revised', 'hipparcos', 'parallaxes', 'infrared', 'surface', 'brightness', 'and', 'interferometric', 'baadewesselink', 'parallaxes', 'and', 'classical', 'zeroagemainsequencefitting', 'parallaxes', 'for', 'cepheids', 'belonging', 'to', 'open', 'clusters', 'or', 'ob', 'stars', 'associations', 'a', 'detailed', 'discussion', 'of', 'absorption', 'corrections', 'and', 'projection', 'factor', 'to', 'be', 'used', 'is', 'given', 'we', 'find', 'no', 'significant', 'difference', 'in', 'the', 'slopes', 'of', 'the', 'pl', 'relations', 'between', 'lmc', 'and', 'our', 'galaxy', 'we', 'conclude', 'that', 'the', 'cepheid', 'pl', 'relations', 'have', 'universal', 'slopes', 'in', 'all', 'photometric', 'bands', 'not', 'depending', 'on', 'the', 'galaxy', 'under', 'study', 'at', 'least', 'for', 'lmc', 'and', 'milky', 'way', 'the', 'possible', 'zeropoint', 'variation', 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709.3256 | Quantum Criticality in Dimerized Spin Ladders | We analyze a possibility of quantum criticality (gaplessness) in dimerized
antiferromagnetic two- and three-leg spin-1/2 ladders. Contrary to earlier
studies of these models, we examine different dimerization patterns in the
ladder. We find that ladders with the columnar dimerization order have lower
zero-temperature energies and they are always gapped. For the staggered
dimerization order, we find the quantum critical lines, in agreement with
earlier analyses. The bond mean-field theory we apply, demonstrates its
quantitative accuracy and agrees with available numerical results. We conclude
that unless some mechanism for locking dimerization into the energetically less
favorable staggered configuration is provided, the dimerized ladders do not
order into the phase where the quantum criticality occurs.
| cond-mat.str-el | we analyze a possibility of quantum criticality gaplessness in dimerized antiferromagnetic two and threeleg spin12 ladders contrary to earlier studies of these models we examine different dimerization patterns in the ladder we find that ladders with the columnar dimerization order have lower zerotemperature energies and they are always gapped for the staggered dimerization order we find the quantum critical lines in agreement with earlier analyses the bond meanfield theory we apply demonstrates its quantitative accuracy and agrees with available numerical results we conclude that unless some mechanism for locking dimerization into the energetically less favorable staggered configuration is provided the dimerized ladders do not order into the phase where the quantum criticality occurs | [['we', 'analyze', 'a', 'possibility', 'of', 'quantum', 'criticality', 'gaplessness', 'in', 'dimerized', 'antiferromagnetic', 'two', 'and', 'threeleg', 'spin12', 'ladders', 'contrary', 'to', 'earlier', 'studies', 'of', 'these', 'models', 'we', 'examine', 'different', 'dimerization', 'patterns', 'in', 'the', 'ladder', 'we', 'find', 'that', 'ladders', 'with', 'the', 'columnar', 'dimerization', 'order', 'have', 'lower', 'zerotemperature', 'energies', 'and', 'they', 'are', 'always', 'gapped', 'for', 'the', 'staggered', 'dimerization', 'order', 'we', 'find', 'the', 'quantum', 'critical', 'lines', 'in', 'agreement', 'with', 'earlier', 'analyses', 'the', 'bond', 'meanfield', 'theory', 'we', 'apply', 'demonstrates', 'its', 'quantitative', 'accuracy', 'and', 'agrees', 'with', 'available', 'numerical', 'results', 'we', 'conclude', 'that', 'unless', 'some', 'mechanism', 'for', 'locking', 'dimerization', 'into', 'the', 'energetically', 'less', 'favorable', 'staggered', 'configuration', 'is', 'provided', 'the', 'dimerized', 'ladders', 'do', 'not', 'order', 'into', 'the', 'phase', 'where', 'the', 'quantum', 'criticality', 'occurs']] | [-0.20662760805025432, 0.23045191484033667, -0.020344157554868576, 0.08848558297582729, -0.014949085631828129, -0.19341236915834972, 0.07579905312174552, 0.4495008864761454, -0.16916731447475938, -0.22383971016779872, 0.03652432605529418, -0.343117855250242, -0.1464845834184537, 0.1070819765430323, 0.08297503971189787, 0.015304550799990354, 0.028005677077556607, -0.003683583613122459, -0.1304379443244481, -0.2505019244550422, 0.2573211782661357, 0.00020483055510516979, 0.30402508540598233, 0.09653630249400054, -0.03647036868584367, -0.023968097288161516, 0.11945976098933447, 0.008605201839906188, -0.24820315584489372, 0.04095969272909307, 0.23084088746681464, -0.07126740435451533, 0.13823562071478898, -0.460600322870686, -0.18785874233210245, 0.062335156860341016, 0.19845352639738817, 0.23149550327025684, -0.016686116126819257, -0.2886886156155868, 0.035650796773101706, -0.21556586105854506, -0.1302698033669164, -0.15774204966455566, -0.08226262419113675, -0.012523989259075802, -0.2296440533766177, 0.11142038211094595, 0.09640635163069958, 0.10439035804958734, -0.06295073096356066, -0.12202271725158248, -0.09394910696284038, 0.11440837871184391, 0.03963552872378346, 0.04424627452050295, 0.04902558781173641, -0.09884976749761706, -0.18435171868783973, 0.35908408820695054, -0.03629142979666822, -0.12659763008257194, 0.20713532530183418, -0.19077022336588234, -0.169033289132887, 0.11858784854082408, 0.018817882259598875, 0.03029288898790832, -0.059197914947351785, 0.07020552190838679, -0.008328884642208573, 0.2066215367789949, -0.027298966748227852, 0.03629249980639969, 0.22376975202850535, 0.1588208125327277, 0.062021394775339724, 0.18800044710494462, -0.0830386852911484, -0.2527451989018416, -0.23849828208310414, -0.11106437097295327, -0.16721697189573165, 0.02231141050416766, -0.09979977539858463, -0.17671339774290018, 0.372023820526799, 0.22024534524838746, 0.17436797134743065, 0.001963778300029514, 0.21051238436845288, 0.09929919370194584, 0.030942661156136114, 0.04762674783628467, 0.24959556132362357, 0.11689134744877837, 0.0936937167811974, -0.28020892976948053, 0.03359536394740628, 0.08523778832904928] |
709.3257 | Series which are both max-plus and min-plus rational are unambiguous | Consider partial maps from the free monoid into the field of real numbers
with a rational domain. We show that two families of such series are actually
the same: the unambiguous rational series on the one hand, and the max-plus and
min-plus rational series on the other hand. The decidability of equality was
known to hold in both families with different proofs, so the above unifies the
picture. We give an effective procedure to build an unambiguous automaton from
a max-plus automaton and a min-plus one that recognize the same series.
| cs.DM | consider partial maps from the free monoid into the field of real numbers with a rational domain we show that two families of such series are actually the same the unambiguous rational series on the one hand and the maxplus and minplus rational series on the other hand the decidability of equality was known to hold in both families with different proofs so the above unifies the picture we give an effective procedure to build an unambiguous automaton from a maxplus automaton and a minplus one that recognize the same series | [['consider', 'partial', 'maps', 'from', 'the', 'free', 'monoid', 'into', 'the', 'field', 'of', 'real', 'numbers', 'with', 'a', 'rational', 'domain', 'we', 'show', 'that', 'two', 'families', 'of', 'such', 'series', 'are', 'actually', 'the', 'same', 'the', 'unambiguous', 'rational', 'series', 'on', 'the', 'one', 'hand', 'and', 'the', 'maxplus', 'and', 'minplus', 'rational', 'series', 'on', 'the', 'other', 'hand', 'the', 'decidability', 'of', 'equality', 'was', 'known', 'to', 'hold', 'in', 'both', 'families', 'with', 'different', 'proofs', 'so', 'the', 'above', 'unifies', 'the', 'picture', 'we', 'give', 'an', 'effective', 'procedure', 'to', 'build', 'an', 'unambiguous', 'automaton', 'from', 'a', 'maxplus', 'automaton', 'and', 'a', 'minplus', 'one', 'that', 'recognize', 'the', 'same', 'series']] | [-0.10376536497426639, 0.061079699743429076, -0.09839652115888484, 0.08850615711084434, -0.10942696808622433, -0.13303688249888493, 0.030614975205325818, 0.3240494485739823, -0.35738060887452666, -0.2381881326129967, 0.11668729319897286, -0.27654825968688335, -0.16222578727200135, 0.2386118923979146, -0.06451870651997543, 0.027604162924575036, 0.021289706429732696, 0.1254036041119924, -0.07132744133615723, -0.2676461953964023, 0.3517901554785587, -0.06812163834859218, 0.2519434368708631, 0.002213015132788364, 0.12646030681719492, 0.01908791052423172, -0.027225726422249942, 0.017925759188953665, -0.10233765064337634, 0.12357371694991713, 0.26188821777455756, 0.15799501152443035, 0.22258404727288328, -0.4570130053907633, -0.15656338936577624, 0.1245567408955789, 0.11541203380777286, 0.08510184708655208, -0.004888598063889031, -0.2473599436477973, 0.04766592784569813, -0.16312457750049922, -0.09044321673502634, -0.055874005635524845, 0.018168544346865798, 0.05400500900449825, -0.2500682868636571, -0.026494410924247598, 0.11305918124923994, 0.09982049628160894, -0.08248674187036538, -0.13211924424599653, 0.005506638063957075, 0.15742482632337199, 0.010826619100183822, -0.01503642658692795, 0.045283908009078805, -0.06966715774775206, -0.1722534309540476, 0.33647720053137004, -0.04641334088212186, -0.20411173860890444, 0.23136856772867798, -0.1730016249713007, -0.18036827588822324, 0.11755705029181726, 0.08425166824279906, 0.12057897538601697, -0.07186582701915241, 0.10076216102518899, -0.1477325421010891, 0.17124773062775833, 0.09963364912974802, -0.021878200409176585, 0.17165567848708604, 0.08835810706387837, 0.07969477378691618, 0.16456481842081072, 0.04167627062198225, -0.09178727618572148, -0.3322921907017519, -0.17986782114174996, -0.13798164007775895, 0.03571750166068611, -0.0641015958036795, -0.22857397751227676, 0.4200330272644431, 0.1294187844454587, 0.20648100995714522, 0.14820224788183203, 0.2640932199064192, 0.12902219636253193, 0.045009255629278475, 0.022747401506281816, 0.14329017313954595, 0.1131700615828427, 0.03133243686330228, -0.18788799453670016, 0.03350480388885794, 0.16863108769181992] |
709.3258 | The Dual-Axis Circumstellar Environment of the Type IIn Supernova 1997eg | We present multi-epoch spectral and spectropolarimetric observations of the
Type IIn supernova (SN) 1997eg that indicate the presence of a flattened
disk-like concentration of circumstellar material surrounding nonspherical
ejecta, with which the disk is misaligned. The polarization across the broad H
alpha, H beta, and He I 5876 lines of SN 1997eg forms closed loops when viewed
in the Stokes q-u plane. Such loops occur when the geometrical symmetry of one
or both of the Stokes parameters across spectral lines is broken, in this case
most likely by occultation of the ejecta by the equatorial circumstellar matter
concentration. The polarization of the narrow Balmer lines possesses an
intrinsic axis that differs by 12 degrees from that of the elongated ejecta and
probably indicates the orientation of the disk-like circumstellar material. The
existence of two different axes of symmetry in SN 1997eg suggests that neither
rotation of the progenitor nor the influence of a companion star can be the
sole mechanism creating a preferred axis within the supernova system. Our model
supports the emerging hypothesis that the progenitors of some Type IIn
supernovae are luminous blue variable stars, whose pre-supernova mass eruptions
form the circumstellar shells that physically characterize the SN IIn subclass.
These conclusions, which are independent of interstellar polarization effects,
would have been unobservable with only a single epoch of spectropolarimetry.
| astro-ph | we present multiepoch spectral and spectropolarimetric observations of the type iin supernova sn 1997eg that indicate the presence of a flattened disklike concentration of circumstellar material surrounding nonspherical ejecta with which the disk is misaligned the polarization across the broad h alpha h beta and he i 5876 lines of sn 1997eg forms closed loops when viewed in the stokes qu plane such loops occur when the geometrical symmetry of one or both of the stokes parameters across spectral lines is broken in this case most likely by occultation of the ejecta by the equatorial circumstellar matter concentration the polarization of the narrow balmer lines possesses an intrinsic axis that differs by 12 degrees from that of the elongated ejecta and probably indicates the orientation of the disklike circumstellar material the existence of two different axes of symmetry in sn 1997eg suggests that neither rotation of the progenitor nor the influence of a companion star can be the sole mechanism creating a preferred axis within the supernova system our model supports the emerging hypothesis that the progenitors of some type iin supernovae are luminous blue variable stars whose presupernova mass eruptions form the circumstellar shells that physically characterize the sn iin subclass these conclusions which are independent of interstellar polarization effects would have been unobservable with only a single epoch of spectropolarimetry | [['we', 'present', 'multiepoch', 'spectral', 'and', 'spectropolarimetric', 'observations', 'of', 'the', 'type', 'iin', 'supernova', 'sn', '1997eg', 'that', 'indicate', 'the', 'presence', 'of', 'a', 'flattened', 'disklike', 'concentration', 'of', 'circumstellar', 'material', 'surrounding', 'nonspherical', 'ejecta', 'with', 'which', 'the', 'disk', 'is', 'misaligned', 'the', 'polarization', 'across', 'the', 'broad', 'h', 'alpha', 'h', 'beta', 'and', 'he', 'i', '5876', 'lines', 'of', 'sn', '1997eg', 'forms', 'closed', 'loops', 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709.3259 | Bruhat order, smooth Schubert varieties, and hyperplane arrangements | The aim of this article is to link Schubert varieties in the flag manifold
with hyperplane arrangements. For a permutation, we construct a certain
graphical hyperplane arrangement. We show that the generating function for
regions of this arrangement coincides with the Poincare polynomial of the
corresponding Schubert variety if and only if the Schubert variety is smooth.
We give an explicit combinatorial formula for the Poincare polynomial. Our main
technical tools are chordal graphs and perfect elimination orderings.
| math.CO | the aim of this article is to link schubert varieties in the flag manifold with hyperplane arrangements for a permutation we construct a certain graphical hyperplane arrangement we show that the generating function for regions of this arrangement coincides with the poincare polynomial of the corresponding schubert variety if and only if the schubert variety is smooth we give an explicit combinatorial formula for the poincare polynomial our main technical tools are chordal graphs and perfect elimination orderings | [['the', 'aim', 'of', 'this', 'article', 'is', 'to', 'link', 'schubert', 'varieties', 'in', 'the', 'flag', 'manifold', 'with', 'hyperplane', 'arrangements', 'for', 'a', 'permutation', 'we', 'construct', 'a', 'certain', 'graphical', 'hyperplane', 'arrangement', 'we', 'show', 'that', 'the', 'generating', 'function', 'for', 'regions', 'of', 'this', 'arrangement', 'coincides', 'with', 'the', 'poincare', 'polynomial', 'of', 'the', 'corresponding', 'schubert', 'variety', 'if', 'and', 'only', 'if', 'the', 'schubert', 'variety', 'is', 'smooth', 'we', 'give', 'an', 'explicit', 'combinatorial', 'formula', 'for', 'the', 'poincare', 'polynomial', 'our', 'main', 'technical', 'tools', 'are', 'chordal', 'graphs', 'and', 'perfect', 'elimination', 'orderings']] | [-0.1823438102236161, -0.014333939613910237, -0.07410294202287705, 0.05309003267365579, -0.1556925751352444, -0.14727050710756046, -0.012827186701962581, 0.3574982163233635, -0.3582221167639662, -0.21048217650073078, 0.09622986142401202, -0.1805320172988547, -0.20573967746876848, 0.16779521540499842, -0.1756032774439798, -0.004857209379760883, 0.074971091411172, 0.04000288212242035, -0.0790556560505371, -0.317752031239275, 0.4176342651152458, -0.0510024052614776, 0.2490514264895748, 0.08637726843022765, 0.13372463727584824, 0.029985090210221898, 0.0017868115220409937, -0.01378144785308112, -0.1890199990523867, 0.17658747658611107, 0.3417977581803615, 0.14881917098775888, 0.15498232020017427, -0.3724410288895552, -0.06408006648342006, 0.235546499162387, 0.14206429284352523, 0.08882302800432229, -0.022924826731188938, -0.20875494443596557, 0.0912317470766795, -0.11497801418105762, -0.20692604256029695, -0.06055443896315037, 0.058293765207800344, 0.05266898268690476, -0.2687642772873052, -0.04476052288485404, 0.1067713669513185, 0.17023085789659467, 0.0031300060307750334, -0.11920547787434398, -0.0029475063366146805, 0.05302562047608006, -0.07746472278347191, 0.040116129365439214, 0.0815933352539268, -0.08894654578911379, -0.17836895897888985, 0.3654826085250347, 0.021090110035565417, -0.28698579520464707, 0.13061131958443767, -0.17943829612042278, -0.19052853105136025, 0.1738323267095555, 0.07346850363776469, 0.1578620880460128, -0.02948073870860613, 0.1302154231324004, -0.17980161813111642, 0.015066209882020187, 0.1333035080251881, -0.05234276575561708, 0.1247147729811378, 0.06664920852591212, 0.09508570149922982, 0.1866116151571847, -0.013874999241521344, -0.08167947242514063, -0.3928338093921924, -0.2275907963466568, -0.13731096757169908, 0.1002930676122793, -0.19220539301190562, -0.2090384921250053, 0.415208849339531, 0.027393222373062506, 0.1797925000771498, 0.14152231608302548, 0.22567018195509148, 0.03349597832838742, 0.012130624972856961, 0.03154731115612846, 0.10480403842834327, 0.2191393734463371, -0.021403288146337636, -0.13177135491516823, 0.08202626493472892, 0.19073070145140475] |
709.326 | Pauli spin-blockade in an InAs nanowire double quantum dot | We measure transport at finite bias through a double quantum dot formed by
top-gates in an InAs nanowire. Pauli spin-bockade is confirmed with several
electrons in the dot. This is expected due to the small exchange interactions
in InAs and the large singlet-triplet splitting, which can be measured and
tuned by a gate voltage.
| cond-mat.mes-hall | we measure transport at finite bias through a double quantum dot formed by topgates in an inas nanowire pauli spinbockade is confirmed with several electrons in the dot this is expected due to the small exchange interactions in inas and the large singlettriplet splitting which can be measured and tuned by a gate voltage | [['we', 'measure', 'transport', 'at', 'finite', 'bias', 'through', 'a', 'double', 'quantum', 'dot', 'formed', 'by', 'topgates', 'in', 'an', 'inas', 'nanowire', 'pauli', 'spinbockade', 'is', 'confirmed', 'with', 'several', 'electrons', 'in', 'the', 'dot', 'this', 'is', 'expected', 'due', 'to', 'the', 'small', 'exchange', 'interactions', 'in', 'inas', 'and', 'the', 'large', 'singlettriplet', 'splitting', 'which', 'can', 'be', 'measured', 'and', 'tuned', 'by', 'a', 'gate', 'voltage']] | [-0.18574161718617072, 0.24266308554220847, 0.009758426670538578, 0.03636225447594627, 0.06726947256346356, -0.22484619901427683, 0.09798641861767841, 0.3991615162846052, -0.30505097221653416, -0.3615153438921245, -0.029020479179584897, -0.29036159403094985, -0.055627822840832314, 0.24492670100112007, 0.005288660842573868, 0.021396643042845546, 0.04799371881340191, -0.06476925011232214, -0.06997427025388153, -0.19705607928116015, 0.2738421752627166, 0.04789152538034854, 0.28054864908445554, 0.15160065091584088, 0.07671854432391108, 0.0036122023373982817, 0.13205752196669016, 0.04567730818646697, -0.09298633014396676, 0.04439137529862939, 0.24818653753905925, -0.16091614624239364, 0.25548279334632856, -0.44585363306808024, -0.10928113932528023, 0.001994900115466905, 0.18307548860210995, 0.16037464697783776, -0.10236469501594328, -0.3508399397415935, 0.10012031128665186, -0.19136126936887796, -0.022852671578667074, 0.007661600702635522, -0.044503577844292486, 0.013465364410910965, -0.2603883069746618, 0.05382303301385551, 0.006433831773838907, 0.0023333999451320125, 0.05712079164519344, -0.02489722808295826, -0.018012721311160416, 0.08012880522039507, -0.03693273167108309, 0.04358335348935622, 0.23790491129851565, -0.058546052017811476, -0.1585968283866093, 0.3082593894510899, -0.1208248282870594, -0.1696207693444108, 0.09935241522935201, -0.21502832890892365, 0.014652551011235084, 0.11065134327015225, 0.1196526751484511, 0.08435146074812368, -0.19679400743038025, 0.1216251497433679, 0.04530471601997906, 0.14823855667480462, 0.02604395390119193, 0.0479964803341987, 0.25495093027656934, 0.15726910620919024, 0.05288178835696769, 0.15290377845653808, -0.15455903369441348, -0.07436449210739361, -0.2361018363878412, -0.1669400716376192, -0.25783585333528947, 0.17882732470642845, -0.049807548153385485, -0.1757999134056692, 0.391513849731605, 0.07201917538911386, 0.20282903543831604, -0.0872252387025411, 0.2670896528464443, 0.21464801542812362, 0.1511984170383756, 0.0013996355305865126, 0.24327481144441748, 0.21731875500343037, 0.016429618482021086, -0.3383590511028778, 0.07360432184529754, -0.07654608510223762] |
709.3261 | Correlations and clustering in the trading of members of the London
Stock Exchange | This paper analyzes correlations in patterns of trading of different members
of the London Stock Exchange. The collection of strategies associated with a
member institution is defined by the sequence of signs of net volume traded by
that institution in hour intervals. Using several methods we show that there
are significant and persistent correlations between institutions. In addition,
the correlations are structured into correlated and anti-correlated groups.
Clustering techniques using the correlations as a distance metric reveal a
meaningful clustering structure with two groups of institutions trading in
opposite directions.
| q-fin.ST physics.soc-ph | this paper analyzes correlations in patterns of trading of different members of the london stock exchange the collection of strategies associated with a member institution is defined by the sequence of signs of net volume traded by that institution in hour intervals using several methods we show that there are significant and persistent correlations between institutions in addition the correlations are structured into correlated and anticorrelated groups clustering techniques using the correlations as a distance metric reveal a meaningful clustering structure with two groups of institutions trading in opposite directions | [['this', 'paper', 'analyzes', 'correlations', 'in', 'patterns', 'of', 'trading', 'of', 'different', 'members', 'of', 'the', 'london', 'stock', 'exchange', 'the', 'collection', 'of', 'strategies', 'associated', 'with', 'a', 'member', 'institution', 'is', 'defined', 'by', 'the', 'sequence', 'of', 'signs', 'of', 'net', 'volume', 'traded', 'by', 'that', 'institution', 'in', 'hour', 'intervals', 'using', 'several', 'methods', 'we', 'show', 'that', 'there', 'are', 'significant', 'and', 'persistent', 'correlations', 'between', 'institutions', 'in', 'addition', 'the', 'correlations', 'are', 'structured', 'into', 'correlated', 'and', 'anticorrelated', 'groups', 'clustering', 'techniques', 'using', 'the', 'correlations', 'as', 'a', 'distance', 'metric', 'reveal', 'a', 'meaningful', 'clustering', 'structure', 'with', 'two', 'groups', 'of', 'institutions', 'trading', 'in', 'opposite', 'directions']] | [-0.1614500827776889, 0.12914626022749062, -0.12106090346868667, 0.13321986121849883, -2.974377324183782e-05, -0.1050549962092191, 0.09331066300057703, 0.46229614979690975, -0.27039020858291124, -0.3140660038010942, 0.06986444915851785, -0.36164543682502376, -0.12670510793104767, 0.14367612096377544, -0.04663616698752675, -0.070671816132704, 0.051298044471898015, 0.005263485063591765, -0.016434564146523674, -0.2760297155255911, 0.3597932319260306, -0.001949073464816643, 0.3187764834198687, 0.012461396648238103, 0.09687355743307206, 0.002767199246833722, -0.11197197048200501, 0.097377950594657, -0.060170143796939454, 0.19159561314930518, 0.2948066576228788, 0.10672191636015972, 0.33834236626668523, -0.3714917742750711, -0.14958311783977682, 0.11301559994204177, 0.1090149869159278, 0.020319851198130182, -0.015922091994434596, -0.2946259406912658, 0.021458475726346175, -0.22642983195061486, -0.0619497399052812, -0.07415756384531656, 0.06576977947519885, 0.08473561518929071, -0.2044148240736427, 0.13298444734472367, 0.010084775669707193, 0.13457745872437954, -0.0583284108252782, -0.11388900133574174, -0.033166798364578025, 0.18944754312332307, 0.10819338800954736, -0.02592161485614876, 0.09958318907043172, -0.10969551666898446, -0.20355209834330404, 0.34129067237178484, -0.06287881750613451, -0.13910343491782745, 0.1405636478629377, -0.1610496358325084, -0.14827324089904625, 0.07946477614136206, 0.2050509434283918, 0.037697429354819983, -0.16575468529287415, -0.005690298354925794, -0.04061403274536133, 0.20515634436160327, 0.06576204910460445, 0.017676023386108377, 0.21026210002601148, 0.1388270256911508, 0.09996904438982407, 0.13394691073529733, -0.06708814408177406, -0.12129786728053457, -0.27308038396553863, -0.11563922537283765, -0.1433572271735304, -0.021794522574378385, -0.1425424982221254, -0.14589814063058132, 0.4175186069061359, 0.12367546842950913, 0.1709882628172636, 0.02522800688036821, 0.21986346882250574, 0.030889230478917146, 0.09839579239487647, 0.08831890129691197, 0.16788589337245666, 0.05302798374969926, 0.10177447170846993, -0.15206260648168002, 0.13908848302542334, 0.014222242765956454] |
709.3262 | A software for learning Information Theory basics with emphasis on
Entropy of Spanish | In this paper, a tutorial software to learn Information Theory basics in a
practical way is reported. The software, called IT-tutor-UV, makes use of a
modern existing Spanish corpus for the modeling of the source. Both the source
and the channel coding are also included in this educational tool as part of
the learning experience. Entropy values of the Spanish language obtained with
the IT-tutor-UV are discussed and compared to others that were previously
calculated under limited conditions.
| cs.IT math.IT | in this paper a tutorial software to learn information theory basics in a practical way is reported the software called ittutoruv makes use of a modern existing spanish corpus for the modeling of the source both the source and the channel coding are also included in this educational tool as part of the learning experience entropy values of the spanish language obtained with the ittutoruv are discussed and compared to others that were previously calculated under limited conditions | [['in', 'this', 'paper', 'a', 'tutorial', 'software', 'to', 'learn', 'information', 'theory', 'basics', 'in', 'a', 'practical', 'way', 'is', 'reported', 'the', 'software', 'called', 'ittutoruv', 'makes', 'use', 'of', 'a', 'modern', 'existing', 'spanish', 'corpus', 'for', 'the', 'modeling', 'of', 'the', 'source', 'both', 'the', 'source', 'and', 'the', 'channel', 'coding', 'are', 'also', 'included', 'in', 'this', 'educational', 'tool', 'as', 'part', 'of', 'the', 'learning', 'experience', 'entropy', 'values', 'of', 'the', 'spanish', 'language', 'obtained', 'with', 'the', 'ittutoruv', 'are', 'discussed', 'and', 'compared', 'to', 'others', 'that', 'were', 'previously', 'calculated', 'under', 'limited', 'conditions']] | [-0.06684406063102774, 0.04586356635340244, -0.08070100038802545, 0.09114256501657349, -0.12055145125946422, -0.13766424748188766, 0.008167752842909019, 0.39841485359264833, -0.24331907195186145, -0.32393128866035686, 0.1114282080012153, -0.2866618057933489, -0.1423622400646931, 0.23997648697542517, -0.11344389856400851, 0.03294350720170769, 0.0926971947774291, 0.08896797785143319, -0.05662214579244487, -0.2602837430803399, 0.2882757874934836, 0.10101316007785499, 0.3351889698288256, 0.053395056407010234, 0.060223403832136875, -0.025356194396552286, -0.10493783919924968, -0.011308831922513874, -0.10601888071658705, 0.17392844651629658, 0.3720790813922098, 0.197431701529575, 0.3152504300110434, -0.38040270634289636, -0.20320996492610952, 0.006194333509100895, 0.0869023556404404, 0.11062506919628695, -0.062170118767474046, -0.2921076936794347, 0.06317260767039108, -0.21602757098643402, -0.07105669469915722, -0.058949405339693554, -0.023494159214590724, 0.0023723092959507517, -0.22471501720965056, -0.008232068371925331, 0.06605236058270461, 0.10686175049723763, -0.04491779240044324, -0.1516408264563468, 0.018324794627628045, 0.18270275103982145, 0.06040538350536831, 0.05380297384047145, 0.10473459088366087, -0.12431638616008538, -0.10952774082359515, 0.393712122581507, -0.060164263223812575, -0.1967297700558495, 0.17902600145852807, -0.053453919465506546, -0.1654141489722717, 0.05594325087057721, 0.18369535281932545, 0.07808182251909257, -0.22965881533118113, 0.06288361615397182, 6.870787566233623e-05, 0.17386233024482958, 0.0425249290534626, 0.04090958950722492, 0.1633487115246489, 0.191215225041991, -0.055186688985773606, 0.17277088505215943, -0.07064582072014577, -0.11868243690237011, -0.283817423948724, -0.14487623344910772, -0.1603823054557372, -0.03654343007426513, -0.023530960873023633, -0.14790926751084044, 0.3803133960004504, 0.20014714997408814, 0.09638036897185405, 0.061173015527617135, 0.33853913135336416, 0.029739489005327125, 0.06666887705949576, 0.08888382275931929, 0.20904060841827518, 0.0775554665260164, 0.18762175441646067, -0.1326459179705891, 0.09607009555972916, -0.005448598466740039] |
709.3263 | Principal Components and Independent Component Analysis of Solar and
Space Data | Principal Components Analysis (PCA) and Independent Component Analysis (ICA)
are used to identify global patterns in solar and space data. PCA seeks
orthogonal modes of the two-point correlation matrix constructed from a data
set. It permits the identification of structures that remain coherent and
correlated or which recur throughout a time series. ICA seeks for maximally
independent modes and takes into account all order correlations of the data. We
apply PCA to the interplanetary-magnetic-field polarity near one AU and to the
3.25R source-surface fields in the solar corona. The rotations of the
two-sector structures of these systems vary together to high accuracy during
the active interval of solar cycle 23. We then use PCA and ICA to hunt for
preferred longitudes in northern hemisphere, Carrington maps of magnetic
fields.
| astro-ph | principal components analysis pca and independent component analysis ica are used to identify global patterns in solar and space data pca seeks orthogonal modes of the twopoint correlation matrix constructed from a data set it permits the identification of structures that remain coherent and correlated or which recur throughout a time series ica seeks for maximally independent modes and takes into account all order correlations of the data we apply pca to the interplanetarymagneticfield polarity near one au and to the 325r sourcesurface fields in the solar corona the rotations of the twosector structures of these systems vary together to high accuracy during the active interval of solar cycle 23 we then use pca and ica to hunt for preferred longitudes in northern hemisphere carrington maps of magnetic fields | [['principal', 'components', 'analysis', 'pca', 'and', 'independent', 'component', 'analysis', 'ica', 'are', 'used', 'to', 'identify', 'global', 'patterns', 'in', 'solar', 'and', 'space', 'data', 'pca', 'seeks', 'orthogonal', 'modes', 'of', 'the', 'twopoint', 'correlation', 'matrix', 'constructed', 'from', 'a', 'data', 'set', 'it', 'permits', 'the', 'identification', 'of', 'structures', 'that', 'remain', 'coherent', 'and', 'correlated', 'or', 'which', 'recur', 'throughout', 'a', 'time', 'series', 'ica', 'seeks', 'for', 'maximally', 'independent', 'modes', 'and', 'takes', 'into', 'account', 'all', 'order', 'correlations', 'of', 'the', 'data', 'we', 'apply', 'pca', 'to', 'the', 'interplanetarymagneticfield', 'polarity', 'near', 'one', 'au', 'and', 'to', 'the', '325r', 'sourcesurface', 'fields', 'in', 'the', 'solar', 'corona', 'the', 'rotations', 'of', 'the', 'twosector', 'structures', 'of', 'these', 'systems', 'vary', 'together', 'to', 'high', 'accuracy', 'during', 'the', 'active', 'interval', 'of', 'solar', 'cycle', '23', 'we', 'then', 'use', 'pca', 'and', 'ica', 'to', 'hunt', 'for', 'preferred', 'longitudes', 'in', 'northern', 'hemisphere', 'carrington', 'maps', 'of', 'magnetic', 'fields']] | [-0.11596624754776254, 0.11257864659153453, -0.07624249185131145, 0.08019144468442134, -0.05821166781151271, -0.07815179361514454, 0.013835276334957168, 0.38566702447362305, -0.269904875851009, -0.2825518005204893, 0.1414832258202854, -0.29719697388153027, -0.11456932637686511, 0.17504553285456725, -0.024084128861088218, 0.02061276794521241, 0.05004402303950876, -0.002949762411092914, -0.0186101007073619, -0.20339437786904055, 0.251425367699364, 0.05208152478311475, 0.26127415758330286, -0.10753674872630224, 0.09775801078786736, 0.016811362352207537, -0.10849578664674768, 0.01243237242094373, -0.044467361044703786, 0.11410734715402185, 0.2931000980086566, 0.18482715781036982, 0.2185120347109953, -0.4235011657450612, -0.18739157507570064, 0.10663447133815429, 0.150307879493779, 0.030208110185083382, 0.05400121545485096, -0.24891863735466022, 0.04276707874039027, -0.07541848491789319, -0.11267908384260816, -0.08468265242793957, 0.02803256169078857, -0.02699237983622478, -0.30495151255177116, 0.09968487300917389, 0.06898336524444479, 0.0991552434549997, -0.11400500617694022, -0.12267200508719589, -0.05045255767108183, 0.17510784551772604, 0.10591051309904832, 0.023616935452813004, 0.1580677260223072, -0.01597492107168192, -0.10103102233105038, 0.34399085447437855, -0.07718718652228465, -0.13183617694523392, 0.18509367491415607, -0.1771668612518839, -0.19045044027642882, 0.17097539963992678, 0.2264568058143216, 0.0721783632060557, -0.1334059273010105, 0.01821658491637323, -0.026468408140023863, 0.20016775580167068, 0.02879085007497645, -0.009027708759971373, 0.21651499612828878, 0.11140657183310883, 0.10254627583298867, 0.1013787071491907, -0.1983406248426351, -0.05607446977194017, -0.2496657228962643, -0.10247407618114417, -0.11608849644720991, -0.016148070593943863, -0.12462390866428504, -0.18104279058523418, 0.4865524990843448, 0.14334789190146208, 0.19477301951879122, -0.0065716966871157525, 0.29047845814406403, 0.03527551997871428, 0.09099094090913605, 0.1181773141239161, 0.2508034596850318, 0.2078206322456556, 0.11180306610827312, -0.1838949201174821, 0.01696655557740216, 0.034128532026285734] |
709.3264 | The influence of the time delay of information flow on an economy
evolution. The stock market analysis | The decision process requires information about the present state of the
system, but in economy acquiring data and processing them is an expensive and
time consuming process. Therefore the state of the system is measured and
announced at the end of the well defined time intervals. The model of a stock
market coupled with an economy is investigated and the role of the length of
the time delay of information flow investigated. It is shown that increasing
the time delay leads to collective behavior of agents and oscillations of
autocorrelations in absolute log-returns.
| physics.soc-ph | the decision process requires information about the present state of the system but in economy acquiring data and processing them is an expensive and time consuming process therefore the state of the system is measured and announced at the end of the well defined time intervals the model of a stock market coupled with an economy is investigated and the role of the length of the time delay of information flow investigated it is shown that increasing the time delay leads to collective behavior of agents and oscillations of autocorrelations in absolute logreturns | [['the', 'decision', 'process', 'requires', 'information', 'about', 'the', 'present', 'state', 'of', 'the', 'system', 'but', 'in', 'economy', 'acquiring', 'data', 'and', 'processing', 'them', 'is', 'an', 'expensive', 'and', 'time', 'consuming', 'process', 'therefore', 'the', 'state', 'of', 'the', 'system', 'is', 'measured', 'and', 'announced', 'at', 'the', 'end', 'of', 'the', 'well', 'defined', 'time', 'intervals', 'the', 'model', 'of', 'a', 'stock', 'market', 'coupled', 'with', 'an', 'economy', 'is', 'investigated', 'and', 'the', 'role', 'of', 'the', 'length', 'of', 'the', 'time', 'delay', 'of', 'information', 'flow', 'investigated', 'it', 'is', 'shown', 'that', 'increasing', 'the', 'time', 'delay', 'leads', 'to', 'collective', 'behavior', 'of', 'agents', 'and', 'oscillations', 'of', 'autocorrelations', 'in', 'absolute', 'logreturns']] | [-0.168925004411659, 0.11710531069547869, -0.10079453960161215, 0.05709773888054926, -0.020700738154431825, -0.1032656694321783, 0.07749509429233649, 0.37333157234975406, -0.2940372663239638, -0.3097008885114744, 0.15111188004444284, -0.2916639493678206, -0.09795587909437957, 0.18134416176897464, -0.04220718601017549, 0.07358152383277493, 0.06720957157492477, 0.10669430108961239, 0.01671766962665784, -0.26571556834143495, 0.2811913305933597, 0.11672181323651344, 0.29971109331655565, 0.026832558490055544, 0.1632937978745328, 0.007043830812558211, -0.07565273603885084, -0.018611202652375865, -0.08185439332448113, 0.08700168117760651, 0.2362140631653689, 0.13855792132396533, 0.31347002773996324, -0.4467156652601496, -0.1757500715133163, 0.11600719290389304, 0.11335110696413184, 0.06727530117777566, 0.01757037478388958, -0.2795986045372262, 0.003912900474363117, -0.15000585390515225, -0.10442096265333314, -0.03957518420973292, 0.07080365352893389, -0.01097734073447364, -0.2620064690308545, 0.10423329995284157, 0.04768502675823026, 0.05461737562611859, -0.050083391255729144, -0.05816029904219973, -0.041898526068556534, 0.19278188492922532, 0.1090613735059867, -0.0010404579356432923, 0.13119713231039945, -0.1418567944808753, -0.12229744038514552, 0.3775583745971803, -0.04803044584289353, -0.12991099102642908, 0.14465394461908007, -0.1431600289314144, -0.052637906324478886, 0.13345671211799948, 0.17824668007507238, 0.0938999853347258, -0.16468699562854022, 0.03498150063966531, 0.03463082522233968, 0.22813874292337605, 0.01902123261243105, 0.04338208562944845, 0.1603504018757933, 0.25098862701160735, 0.08227264175131437, 0.12221077252154348, -0.0589687083074848, -0.14675365808990695, -0.25502804274200114, -0.17647039405600998, -0.18691633940143612, 0.012769973321106805, -0.08104005716762991, -0.13962205534554287, 0.3991234196370007, 0.14515411638484527, 0.19053729354298762, 0.07993110964295044, 0.2818515839115266, 0.16542982596463413, 0.02668696527759875, 0.07116116259387263, 0.19329876067136886, 0.05615775829546594, 0.19734188298925118, -0.24718032827380523, 0.15869615028201733, -0.02094299017742116] |
709.3265 | Algebraic Shifting and f-Vector Theory | This thesis focuses on algebraic shifting and its applications to f-vector
theory of simplicial complexes and more general graded posets. In particular,
several approaches and partial results concerning the g-conjecture for
simplicial spheres are presented here.
| math.CO | this thesis focuses on algebraic shifting and its applications to fvector theory of simplicial complexes and more general graded posets in particular several approaches and partial results concerning the gconjecture for simplicial spheres are presented here | [['this', 'thesis', 'focuses', 'on', 'algebraic', 'shifting', 'and', 'its', 'applications', 'to', 'fvector', 'theory', 'of', 'simplicial', 'complexes', 'and', 'more', 'general', 'graded', 'posets', 'in', 'particular', 'several', 'approaches', 'and', 'partial', 'results', 'concerning', 'the', 'gconjecture', 'for', 'simplicial', 'spheres', 'are', 'presented', 'here']] | [-0.10109311957623707, 0.03098556191091322, -0.047290632475374475, 0.09622220282067752, -0.13125178781855437, -0.09782164299394935, -0.021733053950204823, 0.37946385791939163, -0.3330051253498014, -0.1885792330528299, 0.1183085185831361, -0.2857424494706922, -0.22264515629245174, 0.20071196307738623, -0.22196371748577803, 0.010551431757954156, 0.05567161785438657, 0.017528942501586344, -0.045207366476663284, -0.32666630178896916, 0.4567783435729022, -0.02538401550716824, 0.21825914728429374, 0.18225731255693567, 0.09237675905589843, 0.005806456397597988, -0.07228659339145654, 0.08746750927012828, -0.25619463806247544, 0.27015694787001443, 0.3388856595589055, 0.08090755838849065, 0.1961381388310757, -0.436235449794266, -0.10833278430315356, 0.10626086623718341, 0.1133042140217084, 0.0708636907964117, -0.0009083984045395886, -0.2675130882610877, 0.11036171432998446, -0.12767693031734476, -0.11683357832953334, -0.09152528444408542, 0.07296315078727073, 0.0391933356748066, -0.18616767773508197, -0.04630131732362012, 0.12250666946379675, 0.14586284806460348, -0.03809581287269895, -0.1627059021589553, -0.01678715558308694, 0.04356091782554156, -0.059491352152286306, -0.052804741309955716, 0.11236269249477321, -0.09847089951573354, -0.19689496813548935, 0.4217626502116521, 0.050669433600786656, -0.2499083307468229, 0.17281147871269947, -0.1648288726185759, -0.24171721279465905, 0.11980482190847397, 0.07020213418743676, 0.2298707278031442, -0.0325964830764052, 0.16470932709085495, -0.10327305582662423, 0.031146399832020204, 0.1478995081787515, 0.056795953664631166, 0.09253425470605078, 0.16559769162106225, 0.06442763814185229, 0.15236094548082393, 0.06836163910338655, -0.1342441503268977, -0.27742483611736035, -0.17323410414004078, -0.1227699667474048, 0.04729780606511566, -0.12394512524567997, -0.1779737662937906, 0.353372319549736, 0.12757704738113615, 0.12831015492297915, 0.1533298045138104, 0.2950024295391308, -0.020058347610756755, -0.03325119450326181, -0.0664581507185681, 0.08510801372014815, 0.28752179143743384, 0.07218067165619384, -0.04826071108173993, -0.01683106360724196, 0.19783881423063576] |
709.3266 | Parametric Resonance Enhancement in Neutron Interferometry and Search
for Non-Newtonian Gravity | The parametric resonance enhancement of the phase of neutrons due to
non-Newtonian anomalous gravitational is considered. The existence of such
resonances are confirmed by numerical calculations. A possible experimental
scheme for the observation of this effect is discussed based on an existing
neutron interferometer design.
| hep-ph | the parametric resonance enhancement of the phase of neutrons due to nonnewtonian anomalous gravitational is considered the existence of such resonances are confirmed by numerical calculations a possible experimental scheme for the observation of this effect is discussed based on an existing neutron interferometer design | [['the', 'parametric', 'resonance', 'enhancement', 'of', 'the', 'phase', 'of', 'neutrons', 'due', 'to', 'nonnewtonian', 'anomalous', 'gravitational', 'is', 'considered', 'the', 'existence', 'of', 'such', 'resonances', 'are', 'confirmed', 'by', 'numerical', 'calculations', 'a', 'possible', 'experimental', 'scheme', 'for', 'the', 'observation', 'of', 'this', 'effect', 'is', 'discussed', 'based', 'on', 'an', 'existing', 'neutron', 'interferometer', 'design']] | [-0.17627723371196125, 0.14294028114818502, -0.08962979763746262, 0.05009213343728334, -0.10557074654433463, -0.08005800312384963, 0.04874891498022609, 0.3315554379175107, -0.18178614179293315, -0.2914077320446571, 0.05904574576868779, -0.26196111637271113, -0.16117123530970678, 0.24268829797187613, 0.014329461701628235, 0.11393592045125034, 0.059848562027845116, 0.019659462033046617, -0.030373839331635583, -0.15976185012453545, 0.32709573275254417, 0.09734527508003844, 0.2597642671730783, 0.09438567993541559, 0.08214056876798471, -0.03721091852833827, -0.0413715279661119, -0.03277746151304907, -0.1292023414745927, 0.05566111131985155, 0.23442073423001503, 0.03588292714363585, 0.17969597740512755, -0.4291071030518247, -0.23235954373247095, 0.06330520498255889, 0.1126144220535126, 0.14832553300592635, -0.1161447739150996, -0.34522603820595477, 0.0532966488868826, -0.17696502295633157, -0.15575611070833273, -0.08364645259247885, 0.014814713980174726, 0.01644548283269008, -0.2895288266448511, 0.0792563501228061, 0.057636437647872504, 0.04057571743469453, -0.06682009379275972, -0.14104899453620115, 0.0578065901580784, 0.005502532153493828, 0.08052560830902722, -0.0021413903683423995, 0.14102800740963883, -0.09349572979845107, -0.17086699882315265, 0.3883672917041824, -0.05859391827964121, -0.15282476734783915, 0.16221115697278746, -0.14267807976446217, -0.06599320283987456, 0.19435355704691676, 0.1393754042271111, 0.12545948904525075, -0.12288625087175105, 0.020296813195778265, -0.011555045905212561, 0.1671290621161461, 0.051237033354118465, 0.057055944038761984, 0.22291259831852384, 0.26070579944385425, -0.01383169994999965, 0.13479994808634121, -0.16746668055550093, -0.05714866750899495, -0.3219924097156359, -0.09838145887091135, -0.19075831058952544, 0.007904574492325385, -0.031711787047485514, -0.1380120037227041, 0.3400081943904095, 0.135459314338449, 0.13098586725278033, -0.07268333056320747, 0.3499069886489047, 0.14054803206947528, 0.046780850945247546, -0.04675075138608615, 0.3954856365919113, 0.18182813194580377, 0.05802991763792104, -0.3361941513243235, 0.07527809157553646, 0.005613696694167124] |
709.3267 | Analysis of equilibrium states of Markov solutions to the 3D
Navier-Stokes equations driven by additive noise | We prove that every Markov solution to the three dimensional Navier-Stokes
equation with periodic boundary conditions driven by additive Gaussian noise is
uniquely ergodic. The convergence to the (unique) invariant measure is
exponentially fast.
Moreover, we give a well-posedness criterion for the equations in terms of
invariant measures. We also analyse the energy balance and identify the term
which ensures equality in the balance.
| math-ph math.MP math.PR | we prove that every markov solution to the three dimensional navierstokes equation with periodic boundary conditions driven by additive gaussian noise is uniquely ergodic the convergence to the unique invariant measure is exponentially fast moreover we give a wellposedness criterion for the equations in terms of invariant measures we also analyse the energy balance and identify the term which ensures equality in the balance | [['we', 'prove', 'that', 'every', 'markov', 'solution', 'to', 'the', 'three', 'dimensional', 'navierstokes', 'equation', 'with', 'periodic', 'boundary', 'conditions', 'driven', 'by', 'additive', 'gaussian', 'noise', 'is', 'uniquely', 'ergodic', 'the', 'convergence', 'to', 'the', 'unique', 'invariant', 'measure', 'is', 'exponentially', 'fast', 'moreover', 'we', 'give', 'a', 'wellposedness', 'criterion', 'for', 'the', 'equations', 'in', 'terms', 'of', 'invariant', 'measures', 'we', 'also', 'analyse', 'the', 'energy', 'balance', 'and', 'identify', 'the', 'term', 'which', 'ensures', 'equality', 'in', 'the', 'balance']] | [-0.18511508122901432, 0.1187513410259271, -0.120645888375293, 0.12225280591883347, -0.03165295479630004, -0.1651912899906165, 0.015727808178780833, 0.30037282744888216, -0.34281511430162936, -0.20807762935874052, 0.1500655505251416, -0.25598221429390833, -0.146263326620101, 0.1255903606506763, -0.08466315324039897, 0.10408850334351882, 0.07842178006831091, 0.04280961774929892, -0.06596539629026665, -0.22367668652441353, 0.3671927565446822, 0.006084324122639373, 0.27765672279929277, 0.04300185138708912, 0.20410747622361214, -0.03722614934304147, -0.03516667053918354, 0.013564329477958381, -0.22394104484249056, 0.04310020678531146, 0.20902645776004647, 0.06025437380230869, 0.2786127297440544, -0.35151214834104394, -0.192043408016616, 0.15257677352929022, 0.10325500576436752, 0.05993288902209315, -0.016467610741528915, -0.28535139333689585, 0.1274237061770691, -0.10986998782027513, -0.1834090338597889, -0.13603379531923565, -0.002215951550169848, 0.06959034342435189, -0.33969272262766026, 0.1106972445518295, 0.122933155784267, 0.03366074124642182, -0.15380169475611183, 0.0023855811523390003, -0.02153434174033464, 0.07983780594804557, 0.07098582397520659, 0.0063768797317607095, 0.0683965533016817, -0.07998191255467191, -0.05536762440169696, 0.33686230043531395, -0.12967974186176434, -0.3408759562007617, 0.19629437348339707, -0.14340723161149072, -0.12849556664878037, 0.13558864979131613, 0.11765965048107319, 0.07082742652710294, -0.22120817557151895, 0.1406268028940758, -0.04668045154357969, 0.15052668418502435, 0.0759459186665481, 0.04127716540097026, 0.08336616156157106, 0.0961075326486025, 0.2126433022931451, 0.19543340752716176, -0.023766774666000856, -0.13885420054430142, -0.34021410360583104, -0.17706143027317012, -0.14955950545845553, 0.11132328219900955, -0.11036956595467018, -0.20024613698478788, 0.3785056643100688, 0.13800076723691745, 0.12661098373064306, 0.10448498274672602, 0.26051391381042777, 0.22347550169797614, -0.051201974847572274, 0.13891524282371392, 0.17298676808786695, 0.1653923236335686, 0.0843268622411415, -0.2287611733772792, 0.04496990716870641, 0.16896200424525887] |
709.3268 | FERO (Finding Extreme Relativistic Objects): statistics of relativistic
broad Fe K alpha lines in AGN | The properties of the relativistically broadened Fe K alpha line emitted in
Active Galactic Nuclei (AGN) are still debated among the AGN community. Recent
works seem to exclude that the broad Fe line is a common feature of AGN. The
analysis of a large sample composed by 157 XMM-Newton archival observations of
radio quiet AGN is presented here. This ongoing project is a development of the
work reported in Guainazzi et al. 2006.
| astro-ph | the properties of the relativistically broadened fe k alpha line emitted in active galactic nuclei agn are still debated among the agn community recent works seem to exclude that the broad fe line is a common feature of agn the analysis of a large sample composed by 157 xmmnewton archival observations of radio quiet agn is presented here this ongoing project is a development of the work reported in guainazzi et al 2006 | [['the', 'properties', 'of', 'the', 'relativistically', 'broadened', 'fe', 'k', 'alpha', 'line', 'emitted', 'in', 'active', 'galactic', 'nuclei', 'agn', 'are', 'still', 'debated', 'among', 'the', 'agn', 'community', 'recent', 'works', 'seem', 'to', 'exclude', 'that', 'the', 'broad', 'fe', 'line', 'is', 'a', 'common', 'feature', 'of', 'agn', 'the', 'analysis', 'of', 'a', 'large', 'sample', 'composed', 'by', '157', 'xmmnewton', 'archival', 'observations', 'of', 'radio', 'quiet', 'agn', 'is', 'presented', 'here', 'this', 'ongoing', 'project', 'is', 'a', 'development', 'of', 'the', 'work', 'reported', 'in', 'guainazzi', 'et', 'al', '2006']] | [-0.06530514302560025, 0.11276787467714813, 0.0021170530364745194, 0.050423208502454346, -0.15663393553242916, -0.10381120904478142, 0.07703292848438853, 0.4869990970991138, -0.09963042858321892, -0.33768263143590754, 0.011117897164593969, -0.33004169708712855, -0.015404101345565222, 0.17173542021515054, -0.028716512315440923, -0.03979028123689608, 0.005022706166427169, -0.16823604772798717, 0.014861592017243512, -0.2580158980563283, 0.26326700056799585, 0.16920141029792526, 0.22171211412771502, -0.04323704895149502, 0.013321958508135544, -0.10698948023168163, -0.17242107345049995, 0.013419660273939371, -0.08533433818683989, 0.0968532103102512, 0.355356882714356, 0.15420886100683776, 0.27664463969671893, -0.3055211986901567, -0.2563015122674794, 0.06615409907600325, 0.17778546440078774, 0.02284057065844536, -0.06799622394626365, -0.2769837616684122, 0.01587812264107116, -0.17510095259381664, -0.1833595878755053, 0.08465806376706395, 0.10037050292723709, 0.04217109578894451, -0.16550552097356153, 0.08661783047460227, 0.0965526209717306, 0.13072900970776877, -0.10814575123367831, -0.08612861705478281, -0.01056807075575408, 0.01884286447764478, 0.0520711338322144, 0.07551003241031948, 0.1842852106783539, -0.07807834377066077, -0.09692526046678217, 0.3575776430209064, 0.03318515826120145, 0.10578100041150013, 0.2031510857761734, -0.1706216235438155, -0.2471083748451848, 0.20881581514064843, 0.15682898530374384, 0.16933785003816915, -0.13081083189333892, 0.075402576469868, -0.14277332484359956, 0.25549223529459497, -0.07088079957369094, 0.03923370180160014, 0.26001655080148744, 0.10364349359749919, -0.023368324463566143, 0.09958835968670125, -0.21300762995573072, -0.02828442286651504, -0.2519725055834796, -0.06107168454521646, -0.16025346452887687, 0.09465424716634313, -0.029927060797086194, -0.12259781978274178, 0.3652582617166142, 0.08180588230930476, 0.22927357549391067, -0.05731731536151427, 0.2926681870982672, 0.010119359254733555, 0.04226392054826849, 0.12074219320978348, 0.38543584539244574, 0.17568218048674883, 0.13665743397885105, -0.23811010086986548, 0.08172908172612854, 0.01634612842462957] |
709.3269 | Magnetic bion condensation: A new mechanism of confinement and mass gap
in four dimensions | In recent work, we derived the long-distance confining dynamics of certain
QCD-like gauge theories formulated on small $S^1 \times \R^3$ based on
symmetries, an index theorem, and Abelian duality. Here, we give the
microscopic derivation. The solution reveals a new mechanism of confinement in
QCD(adj) in the regime where we have control over both perturbative and
nonperturbative aspects. In particular, consider SU(2) QCD(adj) theory with $1
\leq n_f \leq 4$ Majorana fermions, a theory which undergoes gauge symmetry
breaking at small $S^1$. If the magnetic charge of the BPS monopole is
normalized to unity, we show that confinement occurs due to condensation of
objects with magnetic charge 2, not 1. Because of index theorems, we know that
such an object cannot be a two identical monopole configuration. Its net
topological charge must vanish, and hence it must be topologically
indistinguishable from the perturbative vacuum. We construct such non-self-dual
topological excitations, the magnetically charged, topologically null molecules
of a BPS monopole and ${\bar{\rm KK}}$ antimonopole, which we refer to as
magnetic bions. An immediate puzzle with this proposal is the apparent Coulomb
repulsion between the BPS-${\bar{\rm KK}}$ pair. An attraction which overcomes
the Coulomb repulsion between the two is induced by $2n_f$-fermion exchange.
Bion condensation is also the mechanism of confinement in $\N=1$ SYM on the
same four-manifold. The SU(N) generalization hints a possible hidden
integrability behind nonsupersymmetric QCD of affine Toda type, and allows us
to analytically compute the mass gap in the gauge sector. We currently do not
know the extension to $\R^4$.
| hep-th hep-lat hep-ph | in recent work we derived the longdistance confining dynamics of certain qcdlike gauge theories formulated on small s1 times r3 based on symmetries an index theorem and abelian duality here we give the microscopic derivation the solution reveals a new mechanism of confinement in qcdadj in the regime where we have control over both perturbative and nonperturbative aspects in particular consider su2 qcdadj theory with 1 leq n_f leq 4 majorana fermions a theory which undergoes gauge symmetry breaking at small s1 if the magnetic charge of the bps monopole is normalized to unity we show that confinement occurs due to condensation of objects with magnetic charge 2 not 1 because of index theorems we know that such an object cannot be a two identical monopole configuration its net topological charge must vanish and hence it must be topologically indistinguishable from the perturbative vacuum we construct such nonselfdual topological excitations the magnetically charged topologically null molecules of a bps monopole and barrm kk antimonopole which we refer to as magnetic bions an immediate puzzle with this proposal is the apparent coulomb repulsion between the bpsbarrm kk pair an attraction which overcomes the coulomb repulsion between the two is induced by 2n_ffermion exchange bion condensation is also the mechanism of confinement in n1 sym on the same fourmanifold the sun generalization hints a possible hidden integrability behind nonsupersymmetric qcd of affine toda type and allows us to analytically compute the mass gap in the gauge sector we currently do not know the extension to r4 | [['in', 'recent', 'work', 'we', 'derived', 'the', 'longdistance', 'confining', 'dynamics', 'of', 'certain', 'qcdlike', 'gauge', 'theories', 'formulated', 'on', 'small', 's1', 'times', 'r3', 'based', 'on', 'symmetries', 'an', 'index', 'theorem', 'and', 'abelian', 'duality', 'here', 'we', 'give', 'the', 'microscopic', 'derivation', 'the', 'solution', 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709.327 | Origami constructions | A characterization of real numbers constructible by paper folding.
| math.HO | a characterization of real numbers constructible by paper folding | [['a', 'characterization', 'of', 'real', 'numbers', 'constructible', 'by', 'paper', 'folding']] | [-0.2430782061484125, 0.17278294948240122, -0.07550212120016415, 0.060524614113900393, -0.08513834989733166, -0.031093988722811144, 0.052863916291648314, 0.25715257227420807, -0.350342307653692, -0.24270327927337754, 0.04290113101402918, -0.09381348018844922, -0.36513960113128024, 0.30759500339627266, -0.09914808937658866, -0.002026571581761042, 0.1315686494215495, -0.01494426280260086, 0.02994802159567674, -0.2381729529135757, 0.43122043046686387, -0.03339590049452252, 0.15104715236359173, 0.04734752265115579, 0.034619304868910045, 0.04437381815579203, -0.04922004954682456, 0.047394632258348994, -0.24731489674498638, 0.23099258624845082, 0.30936265571249855, 0.2052519013070398, 0.2468782179057598, -0.3499980109433333, -0.12267502148946126, 0.17895802482962608, 0.1605108425849014, 0.01836541419227918, -0.06426944293909603, -0.257438310318523, 0.10638635838404298, -0.10766295260853237, -0.13263502163398597, -0.15013211427463424, 0.09059381526377466, 0.1016730693065458, -0.16600688215759066, -0.036843780531651445, 0.054130132413572736, 0.24145429208874702, -0.09696219592458671, -0.03492978711922964, -0.03603100755976306, 0.03251922539331847, -0.0836858195770118, 0.029290831751293607, 0.09067528115378486, -0.07582776331239277, -0.2111044724782308, 0.373978431440062, 0.007788293477561738, -0.2150226084308492, 0.09769400995638636, -0.13731724981011617, -0.13583959928817219, 0.2675337601039145, 0.08130999075041877, 0.21020316746499804, -0.07597242047389348, 0.19498654868867663, -0.15029683326267534, 0.08309394700659646, 0.26493406161252, -0.0570813086297777, 0.12417877424094412, 0.17419467286931145, -0.04197936463687155, 0.19135928314386141, 0.009937079416380988, -0.06630023568868637, -0.3559189463655154, -0.23464319109916687, -0.299667300333062, 0.1992192135916816, -0.03599359260665046, -0.2366835545334551, 0.42161200816432637, -0.014334295876324177, 0.2349287114209599, 0.24982061940762731, 0.38325636585553485, -0.04913321075340112, -0.05535674074457751, -0.14244726714160708, -0.030427602844105825, 0.17451835302118626, -0.001441943355732494, -0.08588857928084002, 0.06352616709450053, 0.15982831807600129] |
709.3271 | The First Empirical Mass Loss Law for Population II Giants | Using the Spitzer IRAC camera we have obtained mid-IR photometry of the red
giant branch stars in the Galactic globular cluster 47 Tuc. About 100 stars
show an excess of mid-infrared light above that expected from their
photospheric emission. This is plausibly due to dust formation in mass flowing
from these stars. This mass loss extends down to the level of the horizontal
branch and increases with luminosity. The mass loss is episodic, occurring in
only a fraction of stars at a given luminosity. Using a simple model and our
observations we derive mass loss rates for these stars. Finally, we obtain the
first empirical mass loss formula calibrated with observations of Population II
stars. The dependence on luminosity of our mass loss rate is considerably
shallower than the widely used Reimers Law. The results presented here are the
first from our Spitzer survey of a carefully chosen sample of 17 Galactic
Globular Clusters, spanning the entire metallicity range from about one
hundredth up to almost solar.
| astro-ph | using the spitzer irac camera we have obtained midir photometry of the red giant branch stars in the galactic globular cluster 47 tuc about 100 stars show an excess of midinfrared light above that expected from their photospheric emission this is plausibly due to dust formation in mass flowing from these stars this mass loss extends down to the level of the horizontal branch and increases with luminosity the mass loss is episodic occurring in only a fraction of stars at a given luminosity using a simple model and our observations we derive mass loss rates for these stars finally we obtain the first empirical mass loss formula calibrated with observations of population ii stars the dependence on luminosity of our mass loss rate is considerably shallower than the widely used reimers law the results presented here are the first from our spitzer survey of a carefully chosen sample of 17 galactic globular clusters spanning the entire metallicity range from about one hundredth up to almost solar | [['using', 'the', 'spitzer', 'irac', 'camera', 'we', 'have', 'obtained', 'midir', 'photometry', 'of', 'the', 'red', 'giant', 'branch', 'stars', 'in', 'the', 'galactic', 'globular', 'cluster', '47', 'tuc', 'about', '100', 'stars', 'show', 'an', 'excess', 'of', 'midinfrared', 'light', 'above', 'that', 'expected', 'from', 'their', 'photospheric', 'emission', 'this', 'is', 'plausibly', 'due', 'to', 'dust', 'formation', 'in', 'mass', 'flowing', 'from', 'these', 'stars', 'this', 'mass', 'loss', 'extends', 'down', 'to', 'the', 'level', 'of', 'the', 'horizontal', 'branch', 'and', 'increases', 'with', 'luminosity', 'the', 'mass', 'loss', 'is', 'episodic', 'occurring', 'in', 'only', 'a', 'fraction', 'of', 'stars', 'at', 'a', 'given', 'luminosity', 'using', 'a', 'simple', 'model', 'and', 'our', 'observations', 'we', 'derive', 'mass', 'loss', 'rates', 'for', 'these', 'stars', 'finally', 'we', 'obtain', 'the', 'first', 'empirical', 'mass', 'loss', 'formula', 'calibrated', 'with', 'observations', 'of', 'population', 'ii', 'stars', 'the', 'dependence', 'on', 'luminosity', 'of', 'our', 'mass', 'loss', 'rate', 'is', 'considerably', 'shallower', 'than', 'the', 'widely', 'used', 'reimers', 'law', 'the', 'results', 'presented', 'here', 'are', 'the', 'first', 'from', 'our', 'spitzer', 'survey', 'of', 'a', 'carefully', 'chosen', 'sample', 'of', '17', 'galactic', 'globular', 'clusters', 'spanning', 'the', 'entire', 'metallicity', 'range', 'from', 'about', 'one', 'hundredth', 'up', 'to', 'almost', 'solar']] | [0.013974458983023009, 0.12226549238268032, -0.07788953994411953, 0.10425718712361116, -0.1038818447725167, 0.011799651839419039, 0.126448056185869, 0.433789148413671, -0.16073900772451039, -0.39444211761684655, 0.03236425016145082, -0.31193134127307437, -0.020742252653096607, 0.22894758300878063, -0.08267895970772395, -0.012513429866155643, 0.10251477227719155, -0.047983912959859376, -0.04274778264784446, -0.2960745921207893, 0.3005959508092907, 0.0370271923355089, 0.1515844980516878, -0.030618888058303716, 0.07305254766293717, -0.11812273728031063, -0.05732843759441804, -0.06679925359897092, -0.16007103358729483, 0.0635162964926804, 0.193072557022717, 0.14111844946290114, 0.2088447405739191, -0.3078013322380853, -0.1978634825397372, 0.06770889597671653, 0.20378798502915635, 0.028662215067843298, -0.08041343693607515, -0.21962710128801535, 0.05986059800593439, -0.18547870852276235, -0.1997222956039937, 0.10146452627886465, 0.026075286484005564, 0.038074737066168804, -0.2434760551275072, 0.13829603319301711, 0.01940567318202292, 0.10041383685666823, -0.1415762268787551, -0.1519540948500511, -0.11373503890005637, 0.07294729235721473, 0.0213075411069614, 0.07683489704452327, 0.16531813227499048, -0.1260470396917157, -0.007130932020341342, 0.36276832742136933, -0.09805160181600012, 0.02170905038089809, 0.20943433542116852, -0.2047165310830101, -0.13543253042404038, 0.13348966376635688, 0.18650219227538672, 0.15172424265010107, -0.2239997211821422, -0.004342880000326849, -0.009714475469691623, 0.22004451832460786, 0.07559529533832819, 0.07072266846237157, 0.30042115986782186, 0.16930470981462273, 0.033963267037555755, 0.10947620766767173, -0.26956997694821283, -0.05134468895981289, -0.25956910512337605, -0.07718638244815572, -0.13752856945987055, 0.1161420433182537, -0.16462318946919013, -0.1086864920622672, 0.31936385765989606, 0.13011596735544548, 0.253100229010354, 0.1189509857401341, 0.3031755618606053, 0.12617275756951088, 0.16513099863115854, 0.1305546714982832, 0.34079609569552505, 0.17997952325905334, 0.09755768112958169, -0.2466100821087505, 0.03803301421356594, -0.017099105015475145] |
709.3272 | Azimuthal Asymmetric Distribution of Hadrons Inside a Jet at Hadron
Collider | We study the azimuthal asymmetric distribution of hadrons inside a high
energy jet in the single transverse polarized proton proton scattering, coming
from the Collins effect multiplied by the quark transversity distribution. We
argue that the Collins function in this process is the same as that in the
semi-inclusive deep inelastic scattering. The experimental study of this
process will provide us important information on the quark transversity
distribution and test the universality of the fragmentation functions.
| hep-ph | we study the azimuthal asymmetric distribution of hadrons inside a high energy jet in the single transverse polarized proton proton scattering coming from the collins effect multiplied by the quark transversity distribution we argue that the collins function in this process is the same as that in the semiinclusive deep inelastic scattering the experimental study of this process will provide us important information on the quark transversity distribution and test the universality of the fragmentation functions | [['we', 'study', 'the', 'azimuthal', 'asymmetric', 'distribution', 'of', 'hadrons', 'inside', 'a', 'high', 'energy', 'jet', 'in', 'the', 'single', 'transverse', 'polarized', 'proton', 'proton', 'scattering', 'coming', 'from', 'the', 'collins', 'effect', 'multiplied', 'by', 'the', 'quark', 'transversity', 'distribution', 'we', 'argue', 'that', 'the', 'collins', 'function', 'in', 'this', 'process', 'is', 'the', 'same', 'as', 'that', 'in', 'the', 'semiinclusive', 'deep', 'inelastic', 'scattering', 'the', 'experimental', 'study', 'of', 'this', 'process', 'will', 'provide', 'us', 'important', 'information', 'on', 'the', 'quark', 'transversity', 'distribution', 'and', 'test', 'the', 'universality', 'of', 'the', 'fragmentation', 'functions']] | [-0.04631247228673218, 0.23760906825038164, -0.20426829625686974, 0.17763171332765187, -0.049688957999215314, -0.005538639047268876, 0.010810778090289156, 0.3633391195418019, -0.2288701613433659, -0.1860614965277675, -0.07043124955778599, -0.2913720939112337, -0.007927998312209783, 0.10505389025753462, 0.08217914712517277, 0.10358629842582893, 0.060338630923070014, -0.05313277547515769, -0.037258690988988076, -0.17699922390870357, 0.42922911572417144, 0.06264947453708278, 0.30843094578257907, 0.19418134166564988, 0.05433453802681087, 0.16061238402586528, -0.0846936536744531, -0.09942186993928197, -0.10464531058038885, 0.07797395195321817, 0.19170803034304348, 0.08893490048419488, 0.10907809740226519, -0.3865011616511957, -0.15050975653024293, 0.08285425652406718, 0.14610023535542974, 0.09278114418817782, -0.038467871786499595, -0.23949226523798547, 0.00574565394536445, -0.241157250993542, -0.15832056132708922, -0.08428713038416677, 0.0130859905375952, 0.045100438586240146, -0.3114755041897297, 0.08319251400596266, 0.04608877628159366, -0.012436934048309922, -0.015906380605883896, -0.21661803643464259, -0.038597694052824455, 0.06321426057624385, 0.11276997083807241, 0.15295634080968357, 0.16910632405626147, -0.230663474152894, -0.15613583450842844, 0.3384696765876326, -0.0262300727098543, -0.19975458170703955, 0.06596228249959256, -0.3260005119710082, -0.14957621405023688, 0.12408669841610581, 0.2703041657315273, 0.09781067164026593, -0.20626169738457784, 0.04766108024494698, -0.1110787206868592, 0.12618838863349274, 0.11267889238354799, 0.02009556134458092, 0.22075226410341106, 0.19373667828346552, -0.04725560776301121, 0.1436562188288295, -0.17957035608675428, -0.06909136716766577, -0.36959311302359166, -0.1197517411201261, -0.18227981479446353, 0.09965366012980476, -0.0817761817626505, -0.11080655482548632, 0.40730818437020244, 0.11456077773810218, 0.272899416354975, -0.03338916199955795, 0.34646026530352075, 0.11042591823283338, 0.08980694435855471, 0.0487283201655373, 0.23840258481275095, 0.17112299543192708, 0.202997661652166, -0.26752377476996597, 0.12181479466686908, 0.0071909308960465225] |
709.3273 | Detection of quantum critical points by a probe qubit | Quantum phase transitions occur when the ground state of a quantum system
undergoes a qualitative change when an external control parameter reaches a
critical value. Here, we demonstrate a technique for studying quantum systems
undergoing a phase transition by coupling the system to a probe qubit. It uses
directly the increased sensibility of the quantum system to perturbations when
it is close to a critical point. Using an NMR quantum simulator, we demonstrate
this measurement technique for two different types of quantum phase transitions
in an Ising spin chain.
| quant-ph | quantum phase transitions occur when the ground state of a quantum system undergoes a qualitative change when an external control parameter reaches a critical value here we demonstrate a technique for studying quantum systems undergoing a phase transition by coupling the system to a probe qubit it uses directly the increased sensibility of the quantum system to perturbations when it is close to a critical point using an nmr quantum simulator we demonstrate this measurement technique for two different types of quantum phase transitions in an ising spin chain | [['quantum', 'phase', 'transitions', 'occur', 'when', 'the', 'ground', 'state', 'of', 'a', 'quantum', 'system', 'undergoes', 'a', 'qualitative', 'change', 'when', 'an', 'external', 'control', 'parameter', 'reaches', 'a', 'critical', 'value', 'here', 'we', 'demonstrate', 'a', 'technique', 'for', 'studying', 'quantum', 'systems', 'undergoing', 'a', 'phase', 'transition', 'by', 'coupling', 'the', 'system', 'to', 'a', 'probe', 'qubit', 'it', 'uses', 'directly', 'the', 'increased', 'sensibility', 'of', 'the', 'quantum', 'system', 'to', 'perturbations', 'when', 'it', 'is', 'close', 'to', 'a', 'critical', 'point', 'using', 'an', 'nmr', 'quantum', 'simulator', 'we', 'demonstrate', 'this', 'measurement', 'technique', 'for', 'two', 'different', 'types', 'of', 'quantum', 'phase', 'transitions', 'in', 'an', 'ising', 'spin', 'chain']] | [-0.18289874363272043, 0.22131618276533405, -0.08352026486706533, 0.00024201576545667113, 0.026807665343532402, -0.20214946246235055, 0.10147546179948395, 0.32997667316472934, -0.2753991166945924, -0.2748394889150108, 0.0755409598703695, -0.2816126859809659, -0.15968044409842302, 0.22135417406143768, 0.02491763082929374, 0.09941914342762379, 0.04502632934600115, 0.05349999628542514, -0.1122285732894801, -0.16653126166359092, 0.3154836369395842, 0.0122699461840721, 0.3036190416778992, 0.0195976968022754, 0.11388418053831445, 0.003959949801560214, 0.16312243108993418, 0.0022978342577731343, -0.13324358269802472, -0.018146221217270313, 0.23670747512320364, 0.04697652576292415, 0.2480739022322585, -0.38372469875501114, -0.2159052106206504, 0.10943908505194057, 0.09908660386134399, 0.23571255037121558, -0.0399309942143017, -0.3430112243598599, 0.023854089163118198, -0.18089776561239712, -0.12818746570644252, -0.11349032141707754, -0.008688607682170493, -0.07095948370890377, -0.2769576447016528, 0.02852302556334252, 0.06359042144861868, 0.09783278915277693, -0.036546740476879176, 0.01956036200961412, 0.04368432365316019, 0.16436121079075316, -0.06409970123394068, 0.07203657271110275, 0.18654872632972644, -0.136820634238401, -0.15312906312285346, 0.3451849389193433, -0.04528414810421678, -0.14870497158446003, 0.17633629060256178, -0.12430011774570252, -0.11865625341077533, 0.12145134268244834, 0.13329279614779888, 0.09380546114355158, -0.11467712667095083, 0.04082924767993809, 0.08440886442601848, 0.2562647783370777, -0.05348282839757589, 0.028004395749336213, 0.2484177281724268, 0.1937912836477286, 0.0871294415294287, 0.23324903450759776, -0.09702055266106062, -0.20644912539635984, -0.25585552798374817, -0.205516342670144, -0.2286977041094156, 0.08600756866083051, -0.07636075484137354, -0.18509055407236466, 0.39715489173266155, 0.18223718991288315, 0.20549356284436215, -0.06338143813570313, 0.28984829670948425, 0.17431068059391855, 0.004798099879970711, 0.016926079835439246, 0.2689411908157923, 0.14597079171171265, 0.11627625187942653, -0.29296306994209964, 0.03454261769676644, 0.021990822102309446] |
709.3274 | Observation of a 500meV Collective Mode in La$_{2-x}$Sr$_x$CuO$_4$ and
Nd$_2$CuO$_4$ | Utilizing resonant inelastic x-ray scattering, we report a previously
unobserved mode in the excitation spectrum of La$_{2-x}$Sr$_x$CuO$_4$ at 500
meV. The mode is peaked around the ($\pi$,0) point in reciprocal space and is
observed to soften, and broaden, away from this point. Samples with x=0, 0.01,
0.05, and 0.17 were studied. The new mode is found to be rapidly suppressed
with increasing Sr content and is absent at $x$=0.17, where it is replaced by a
continuum of excitations. The peak is only observed when the incident x-ray
polarization is normal to the CuO planes and is also present in Nd$_2$CuO$_4$.
We suggest possible explanations for this excitation.
| cond-mat.str-el cond-mat.supr-con | utilizing resonant inelastic xray scattering we report a previously unobserved mode in the excitation spectrum of la_2xsr_xcuo_4 at 500 mev the mode is peaked around the pi0 point in reciprocal space and is observed to soften and broaden away from this point samples with x0 001 005 and 017 were studied the new mode is found to be rapidly suppressed with increasing sr content and is absent at x017 where it is replaced by a continuum of excitations the peak is only observed when the incident xray polarization is normal to the cuo planes and is also present in nd_2cuo_4 we suggest possible explanations for this excitation | [['utilizing', 'resonant', 'inelastic', 'xray', 'scattering', 'we', 'report', 'a', 'previously', 'unobserved', 'mode', 'in', 'the', 'excitation', 'spectrum', 'of', 'la_2xsr_xcuo_4', 'at', '500', 'mev', 'the', 'mode', 'is', 'peaked', 'around', 'the', 'pi0', 'point', 'in', 'reciprocal', 'space', 'and', 'is', 'observed', 'to', 'soften', 'and', 'broaden', 'away', 'from', 'this', 'point', 'samples', 'with', 'x0', '001', '005', 'and', '017', 'were', 'studied', 'the', 'new', 'mode', 'is', 'found', 'to', 'be', 'rapidly', 'suppressed', 'with', 'increasing', 'sr', 'content', 'and', 'is', 'absent', 'at', 'x017', 'where', 'it', 'is', 'replaced', 'by', 'a', 'continuum', 'of', 'excitations', 'the', 'peak', 'is', 'only', 'observed', 'when', 'the', 'incident', 'xray', 'polarization', 'is', 'normal', 'to', 'the', 'cuo', 'planes', 'and', 'is', 'also', 'present', 'in', 'nd_2cuo_4', 'we', 'suggest', 'possible', 'explanations', 'for', 'this', 'excitation']] | [-0.0877398624755094, 0.23419593339818573, -0.0510841367949044, 0.0531581549831257, -0.07017090415204527, -0.12914514585145723, 0.1202991712037648, 0.43388799156680286, -0.2561904739971473, -0.2641219249882988, 0.026116320725190934, -0.4062569499903611, -0.045779212943722156, 0.16055521177493523, 0.04159357270800343, -0.02830571386632379, -0.03144186800650417, 0.009897126611670323, -0.05148604744229309, -0.13596099675263096, 0.2837338572690072, 0.06393985119082521, 0.29732198195932347, 0.05167729976351991, 0.030254840124050313, 0.012709208503017358, 0.0395856867370274, -0.025275686242243398, -0.11990911297709028, 0.013921361233795358, 0.28717917573821045, -0.01705100669342781, 0.16728918014581654, -0.33686468318522533, -0.1931726378704221, 0.040298528669001625, 0.18622195238473815, 0.09070835031664748, -0.04961663017171287, -0.23811833680581265, 0.10472529211514586, -0.08335822827626611, -0.162857110849277, -0.015624578759317921, 0.025476530233450305, -0.046342351856841664, -0.2572907511684521, 0.13223677121563032, 0.014741745033240486, 0.0774721842537695, -0.09825995950480905, -0.14307710894809983, -0.07308745879906221, -0.009877677420186854, 0.09378514000188524, 0.11479487117362495, 0.13030361442551425, -0.07063807710944284, -0.05294927002896912, 0.3743836197743157, -0.040861427057186296, -0.061357780061541155, 0.13360470225251167, -0.2577643607847532, -0.10118762091472397, 0.23992980154944915, 0.09955550730500423, 0.11377172004518525, -0.1183233368804811, 0.04473347029872848, -0.0018745583360231367, 0.2198640580412009, 0.09603404941333231, 0.05744964478071779, 0.24046886753874055, 0.2016794473176526, -0.003469861417173225, 0.13444244564689312, -0.19546739546425432, 0.002933745415528766, -0.2211279249184321, -0.10524999749004649, -0.16176802250061612, 0.04972494829654972, -0.00532091090335428, -0.0965380881101499, 0.35514279662698905, 0.10526242758643543, 0.24044727646336655, -0.030388798730047507, 0.2621014837619509, 0.18467725109456926, 0.07495951963257845, 0.07358528607063622, 0.3180834524176806, 0.11479052145330008, 0.11154157627443566, -0.2210504089408145, 0.051582879212763263, -0.07351928512417824] |
709.3275 | Galois groups of the basic hypergeometric equations | In this paper we compute the Galois groups of basic hypergeometric equations.
| math.CA | in this paper we compute the galois groups of basic hypergeometric equations | [['in', 'this', 'paper', 'we', 'compute', 'the', 'galois', 'groups', 'of', 'basic', 'hypergeometric', 'equations']] | [-0.2219201442785561, 0.012148617689187327, -0.15718653549750647, 0.08583942213833022, -0.14503418685247502, -0.04269312787801027, -0.023774902248987928, 0.24311947418997684, -0.3998810326059659, -0.23581975201765695, 0.02538871282983261, -0.2340955873951316, -0.2454223603126593, 0.17900376518567404, -0.22496326935167113, 0.002655173341433207, -0.032776137930341065, 0.10079562881340583, -0.19350788354252776, -0.3753799206266801, 0.46039139355222386, -0.09153293414662282, 0.1328492589915792, -0.027693424373865128, 0.14614929142408073, 0.001974367070943117, -0.08095338211084406, -0.13093081628903747, -0.21755064992854992, 0.15698878544693193, 0.4421719911818703, 0.03838977823033929, 0.25055088351170224, -0.42827079507211846, -0.04810238629579544, 0.22622574834773937, 0.23360983561724424, 0.07530188522408328, -0.012004760714868704, -0.20942774415016174, 0.05165434589919945, -0.21735585372274122, -0.19848920172080398, -0.0970256021246314, 0.0092554222792387, 0.1450274440770348, -0.10718395933508873, 0.041207131541644536, 0.00047364838731785613, 0.19802973473755023, -0.09475942219917972, -0.12432665067414443, 0.10568947779635589, 0.08377454290166497, 0.053775911820897214, -0.0740667119777451, 0.0635212972216929, -0.1519637787520575, -0.09114313606793682, 0.4017740332831939, -0.045569866274793945, -0.2055368386209011, 0.03209008897344271, -0.1604146498333042, -0.32954292340825003, 0.050702416338026524, 0.23177612541864315, 0.2233921531587839, -0.13833947898820043, 0.13952187813508013, -0.22174824696655074, 0.07269698645298679, 0.13408086526518068, -0.061556410044431686, 0.044817377463914454, 0.0437780786305666, -0.053994194294015564, 0.16365421190857887, 0.09145025163888931, -0.04261763673275709, -0.44286374871929485, -0.26924569501231116, -0.0064373161815941176, 0.07395720082179953, -0.06655488287409146, -0.18563895309731984, 0.5402609029163917, 0.23812932521104813, 0.007425256073474884, 0.2043789237892876, 0.24902454608430466, 0.20039183894793192, 0.024776791998495657, 0.046237701550126076, 0.07089329836890101, 0.3244395215685169, -0.012111792030433813, -0.17697664784888426, -0.09028965649971117, 0.2529368191802253] |
709.3276 | Infinite slabs and other weird plane symmetric space-times with constant
positive density | We present the exact solution of Einstein's equation corresponding to a
static and plane symmetric distribution of matter with constant positive
density located below $z=0$. This solution depends essentially on two
constants: the density $\rho$ and a parameter $\kappa$. We show that this
space-time finishes down below at an inner singularity at finite depth. We
match this solution to the vacuum one and compute the external gravitational
field in terms of slab's parameters. Depending on the value of $\kappa$, these
slabs can be attractive, repulsive or neutral. In the first case, the
space-time also finishes up above at another singularity. In the other cases,
they turn out to be semi-infinite and asymptotically flat when $z\to\infty$.
We also find solutions consisting of joining an attractive slab and a
repulsive one, and two neutral ones. We also discuss how to assemble a
"gravitational capacitor" by inserting a slice of vacuum between two such
slabs.
| gr-qc | we present the exact solution of einsteins equation corresponding to a static and plane symmetric distribution of matter with constant positive density located below z0 this solution depends essentially on two constants the density rho and a parameter kappa we show that this spacetime finishes down below at an inner singularity at finite depth we match this solution to the vacuum one and compute the external gravitational field in terms of slabs parameters depending on the value of kappa these slabs can be attractive repulsive or neutral in the first case the spacetime also finishes up above at another singularity in the other cases they turn out to be semiinfinite and asymptotically flat when ztoinfty we also find solutions consisting of joining an attractive slab and a repulsive one and two neutral ones we also discuss how to assemble a gravitational capacitor by inserting a slice of vacuum between two such slabs | [['we', 'present', 'the', 'exact', 'solution', 'of', 'einsteins', 'equation', 'corresponding', 'to', 'a', 'static', 'and', 'plane', 'symmetric', 'distribution', 'of', 'matter', 'with', 'constant', 'positive', 'density', 'located', 'below', 'z0', 'this', 'solution', 'depends', 'essentially', 'on', 'two', 'constants', 'the', 'density', 'rho', 'and', 'a', 'parameter', 'kappa', 'we', 'show', 'that', 'this', 'spacetime', 'finishes', 'down', 'below', 'at', 'an', 'inner', 'singularity', 'at', 'finite', 'depth', 'we', 'match', 'this', 'solution', 'to', 'the', 'vacuum', 'one', 'and', 'compute', 'the', 'external', 'gravitational', 'field', 'in', 'terms', 'of', 'slabs', 'parameters', 'depending', 'on', 'the', 'value', 'of', 'kappa', 'these', 'slabs', 'can', 'be', 'attractive', 'repulsive', 'or', 'neutral', 'in', 'the', 'first', 'case', 'the', 'spacetime', 'also', 'finishes', 'up', 'above', 'at', 'another', 'singularity', 'in', 'the', 'other', 'cases', 'they', 'turn', 'out', 'to', 'be', 'semiinfinite', 'and', 'asymptotically', 'flat', 'when', 'ztoinfty', 'we', 'also', 'find', 'solutions', 'consisting', 'of', 'joining', 'an', 'attractive', 'slab', 'and', 'a', 'repulsive', 'one', 'and', 'two', 'neutral', 'ones', 'we', 'also', 'discuss', 'how', 'to', 'assemble', 'a', 'gravitational', 'capacitor', 'by', 'inserting', 'a', 'slice', 'of', 'vacuum', 'between', 'two', 'such', 'slabs']] | [-0.1413676761225552, 0.14070430718531593, -0.06085712333687728, 0.046187449100359934, -0.055525046537360664, -0.16406103245313525, 0.029730006399883057, 0.3692325662919565, -0.24583320262363964, -0.2656124452960763, 0.08516970079309479, -0.32062785469736954, -0.07585383135837649, 0.13672690786724592, 0.036812466909300144, -0.01874768017104974, -0.01784820028574598, 0.05984714727750734, -0.10747408598973907, -0.23597583057371116, 0.37013768764997, 0.011070003481826893, 0.2235564703648714, 0.07001759639120121, 0.09360532057747294, -0.02492500342869837, 0.04378008432563787, 0.05647047850737564, -0.1784218459080014, 0.04430773164341716, 0.19972847779832878, 0.02444387290406188, 0.22603837231413068, -0.41463796943916303, -0.15196151924809734, 0.10656253192389972, 0.15926994472484743, 0.13089160740645112, -0.049712479707331544, -0.26348752218549826, 0.07973660857073571, -0.13302504888116873, -0.19328714628691637, -0.0043333229167680995, 0.035406194502444886, -0.008078268747531661, -0.22621670605516747, 0.07590440866069433, 0.034433866149476286, -0.0322829844004254, -0.0973267687889012, -0.09831225998430837, -0.002379462260777425, 0.08330352777269773, 0.06755700577540617, 0.036035000465314, 0.13428165250776433, -0.14913230675646397, -0.03462210894978948, 0.35208488414431677, -0.11683340160265002, -0.23631800381515763, 0.1839766001197093, -0.15504702793642586, -0.06257685130204711, 0.12632767867762595, 0.12860958007360368, 0.12526924004716994, -0.09259939209550794, 0.11842448733391632, -0.031048380841017013, 0.18561693256043854, 0.1631957034053477, -0.016880649304336037, 0.28004292676862524, 0.09426039448590018, 0.08975313364843666, 0.15749853335230574, -0.03033024292917138, -0.07530776487883965, -0.36389471399659096, -0.1552787478270291, -0.15452668981666456, 0.07062331807958942, -0.14052168015137126, -0.212596307630424, 0.3542953964512746, 0.1038520814127926, 0.2031235942788618, 0.03321010885931747, 0.27508484423895807, 0.10927038677312483, 0.02219836352435921, 0.10054594485125945, 0.2812424663233718, 0.09830997611769769, 0.0726372839463262, -0.19589716872417884, -0.032534514075929395, 0.05132765625450319] |
709.3277 | On soliton structure of the Vakhnenko equation with a 'dissipative'
term: a peculiar fission phenomenon | In the present work, we investigate the soliton structure of the Vakhnenko
equation with a 'dissipative' term, by means of the Hirota's method. As a
result, we unearth three kinds of soliton solutions depending upon the
dissipation parameter. We further find that the scattering behavior among such
structures exhibits a peculiar feature that may be the fission phenomenon.
| math-ph math.MP | in the present work we investigate the soliton structure of the vakhnenko equation with a dissipative term by means of the hirotas method as a result we unearth three kinds of soliton solutions depending upon the dissipation parameter we further find that the scattering behavior among such structures exhibits a peculiar feature that may be the fission phenomenon | [['in', 'the', 'present', 'work', 'we', 'investigate', 'the', 'soliton', 'structure', 'of', 'the', 'vakhnenko', 'equation', 'with', 'a', 'dissipative', 'term', 'by', 'means', 'of', 'the', 'hirotas', 'method', 'as', 'a', 'result', 'we', 'unearth', 'three', 'kinds', 'of', 'soliton', 'solutions', 'depending', 'upon', 'the', 'dissipation', 'parameter', 'we', 'further', 'find', 'that', 'the', 'scattering', 'behavior', 'among', 'such', 'structures', 'exhibits', 'a', 'peculiar', 'feature', 'that', 'may', 'be', 'the', 'fission', 'phenomenon']] | [-0.1692056454028653, 0.10637461113069079, -0.1502604509768044, 0.05174709603607912, -0.08216539545562761, -0.08390298228036484, 0.01668146969991383, 0.335984920504792, -0.29101045929891023, -0.27120393675206034, 0.07056608317411858, -0.270423929656631, -0.2404559397957577, 0.19149862306899038, 0.044301542541782916, 0.006873072235411483, 0.055810039596038, 0.0234041013514045, -0.06605666048889017, -0.17261525528938992, 0.4002420953314366, -0.002111479047392816, 0.2519400916544014, 0.054834642343158865, 0.09449809368956706, -0.05262412211921965, 0.025012105647153383, 0.011766706368532675, -0.18475054820386316, 0.0651834505160564, 0.17681708361086404, 0.052081086435997535, 0.22271586450796318, -0.3891214734617749, -0.2697830281124033, 0.08273038666309981, 0.17073084385102166, 0.17518819425985666, -0.07505820460360625, -0.28515724686841515, 0.044454193095965634, -0.18077041157360735, -0.17640090088263669, -0.10529689409705842, -0.017176952855340367, 0.0812073338190736, -0.22218355056046957, 0.12179411302224316, 0.11470695390719278, -0.009185749090051857, -0.10966569368310015, -0.047006837967462065, -0.01771823230103172, 0.04183907009629083, 0.08108536855735142, -0.057962781420491376, 0.07372291083447635, -0.14354666084821882, -0.1166844293073719, 0.3852587131590679, -0.11688600695724118, -0.19854673213432825, 0.1502948160251153, -0.09091463689050026, -0.11542812742870943, 0.11220226295950726, 0.12200249994880166, 0.137861933430721, -0.14546955368935194, 0.03872887722762494, -0.04596972569887494, 0.1740415621597063, 0.08984683176647101, 0.07032349158142662, 0.1739831154780655, 0.20816479160065024, 0.04815947372016722, 0.18001819263686072, -0.08279596896167717, -0.10171373021499865, -0.2981425801870124, -0.1443105576969362, -0.13049277199175338, 0.05736964445657514, -0.09280058972593717, -0.16470572785956078, 0.43806139964224966, 0.13047422694467842, 0.22748810653414192, -0.02087011089516354, 0.2156627824337318, 0.15075297552313463, 0.0765234487580842, 0.04773126569865593, 0.26175820822666945, 0.09189205321659945, 0.10082526250485459, -0.28300673315494224, 0.05134960546575744, 0.08828693446863828] |
709.3278 | Morse and Lyapunov Spectra and Dynamics on Flag Bundles | This paper studies characteristic exponents of flows in relation with the
dynamics of flows on flag bundles. The starting point is a flow on a principal
bundle with semi-simple group $G$. Projection against the Iwasawa decomposition
$G = KAN$ defines an additive cocycle over the flow with values in $\frak{a} =
\log A$. Its Lyapunov exponents (limits along trajectories) and Morse exponents
(limits along chains) are studied. It is proved a symmetric property of these
spectral sets, namely invariance under the Weyl group. It is proved also that
these sets are located in certain Weyl chambers, defined from the dynamics on
the associated flag bundles. As a special case linear flows on vector bundles
are considered.
| math.DS | this paper studies characteristic exponents of flows in relation with the dynamics of flows on flag bundles the starting point is a flow on a principal bundle with semisimple group g projection against the iwasawa decomposition g kan defines an additive cocycle over the flow with values in fraka log a its lyapunov exponents limits along trajectories and morse exponents limits along chains are studied it is proved a symmetric property of these spectral sets namely invariance under the weyl group it is proved also that these sets are located in certain weyl chambers defined from the dynamics on the associated flag bundles as a special case linear flows on vector bundles are considered | [['this', 'paper', 'studies', 'characteristic', 'exponents', 'of', 'flows', 'in', 'relation', 'with', 'the', 'dynamics', 'of', 'flows', 'on', 'flag', 'bundles', 'the', 'starting', 'point', 'is', 'a', 'flow', 'on', 'a', 'principal', 'bundle', 'with', 'semisimple', 'group', 'g', 'projection', 'against', 'the', 'iwasawa', 'decomposition', 'g', 'kan', 'defines', 'an', 'additive', 'cocycle', 'over', 'the', 'flow', 'with', 'values', 'in', 'fraka', 'log', 'a', 'its', 'lyapunov', 'exponents', 'limits', 'along', 'trajectories', 'and', 'morse', 'exponents', 'limits', 'along', 'chains', 'are', 'studied', 'it', 'is', 'proved', 'a', 'symmetric', 'property', 'of', 'these', 'spectral', 'sets', 'namely', 'invariance', 'under', 'the', 'weyl', 'group', 'it', 'is', 'proved', 'also', 'that', 'these', 'sets', 'are', 'located', 'in', 'certain', 'weyl', 'chambers', 'defined', 'from', 'the', 'dynamics', 'on', 'the', 'associated', 'flag', 'bundles', 'as', 'a', 'special', 'case', 'linear', 'flows', 'on', 'vector', 'bundles', 'are', 'considered']] | [-0.25615569275166644, 0.1027516293266161, -0.10891023464500904, 0.021914181750872286, -0.06640620590105914, -0.1521594813583713, -0.031038545553057798, 0.36753942736469436, -0.3159795206187195, -0.14121689996273631, 0.1458380043990665, -0.2645550458303963, -0.154863294753197, 0.2261985545945272, -0.09759629115854439, 0.03389863911140485, 0.033115506666945294, 0.10491135618812814, -0.07896753379936215, -0.23215721674332918, 0.40629609396452443, -0.013504629297051252, 0.298725598512152, 0.009472719562677014, 0.1012245008084727, -0.024636744599168498, -0.02085669409777773, 0.03983883199224804, -0.15125704854309382, 0.08640609532104511, 0.26323291089941275, 0.017403848448833616, 0.2082652480488545, -0.33113133600145056, -0.19215668384557621, 0.15328180842232286, 0.10480339947695795, -0.03021787647811467, 0.009317732297635654, -0.2929343941617398, 0.11169417850313741, -0.12319021871346131, -0.14864215748016968, -0.055789006730999076, 0.04275809828061284, 0.03918008239155537, -0.2179532597952506, 0.0009723310417540601, 0.05174446910652414, 0.14267384862167792, -0.08143766660737527, -0.08449576474039962, -0.0980944199193465, 0.08293509668376493, 0.05788707023020834, 0.005783918659864484, 0.16039408376162642, -0.06661255870284022, -0.12814175891138516, 0.3938370531653626, -0.06925900579070705, -0.27267351065223155, 0.14427394658866288, -0.13200613059789726, -0.1616761801874657, 0.13465292507623272, 0.11651998140293647, 0.1443394972093142, -0.030618987056394025, 0.1517276196212614, -0.13424354878237896, 0.04337780664929213, 0.07365642310316234, -0.03845046253940254, 0.15485848059567311, 0.07760160119403481, 0.11622257247207719, 0.08900120293133353, -0.023711891052938115, -0.10949430487265713, -0.3611824093141446, -0.16405718372889647, -0.12664503197332747, 0.13786516411295324, -0.11996085945046568, -0.17628999327088854, 0.39871387739191977, 0.03170198119621266, 0.22754177619833826, 0.12917592659135135, 0.21108898739616402, 0.07791361397258904, 0.06702799305499516, 0.09928640083965372, 0.17770001209104075, 0.2728156832418519, 0.014410072348382846, -0.13697848244357788, 0.005799706400323071, 0.20560261687639644] |
709.3279 | Asymptotic entanglement in the discrete-time quantum walk | The coin-position entanglement generated by the evolution operator of a
discrete--time quantum walk converges, in the long time limit, to a well
defined value which depends on the initial state. We also discuss the
asymptotic bi-partite entanglement generated by several non-separable coin
operations for two coherent quantum walkers, for which the entropy of
entanglement increases logarithmically.
| quant-ph | the coinposition entanglement generated by the evolution operator of a discretetime quantum walk converges in the long time limit to a well defined value which depends on the initial state we also discuss the asymptotic bipartite entanglement generated by several nonseparable coin operations for two coherent quantum walkers for which the entropy of entanglement increases logarithmically | [['the', 'coinposition', 'entanglement', 'generated', 'by', 'the', 'evolution', 'operator', 'of', 'a', 'discretetime', 'quantum', 'walk', 'converges', 'in', 'the', 'long', 'time', 'limit', 'to', 'a', 'well', 'defined', 'value', 'which', 'depends', 'on', 'the', 'initial', 'state', 'we', 'also', 'discuss', 'the', 'asymptotic', 'bipartite', 'entanglement', 'generated', 'by', 'several', 'nonseparable', 'coin', 'operations', 'for', 'two', 'coherent', 'quantum', 'walkers', 'for', 'which', 'the', 'entropy', 'of', 'entanglement', 'increases', 'logarithmically']] | [-0.1514456059584128, 0.2877936434233561, -0.09294814383611083, 0.0626069612007346, 0.05644889912218787, -0.19281342043541372, 0.04166001529665664, 0.3213506360937442, -0.2855253112169781, -0.17960692829053318, 0.13953296102824556, -0.26818794746525654, -0.09667521300226715, 0.18781125156341918, -0.040832163682872694, 0.1534299608652613, 0.08065117513511463, 0.08786680402200935, -0.05530229300659682, -0.2753696045006758, 0.3376757780289544, 0.0325827126216609, 0.29948935290199835, 0.05088355894466596, 0.1548039285865213, 0.053674378046707716, 0.006645541388674506, 0.013314012537843414, -0.13706759202094482, 0.03224513556675187, 0.18519769366165356, 0.10766398752873231, 0.2902738235757819, -0.38770554228020565, -0.16620175794897868, 0.15544954404634023, 0.130271836317531, 0.1664417307682535, 0.020060431168531068, -0.3351931595908744, -0.0318374228913204, -0.19157312644529156, -0.1221865597679945, -0.03200695763475129, 0.03199260789967541, -0.009677520021796227, -0.26182853490380303, 0.09771218930161142, 0.062261352155474015, 0.014458321234477418, 0.01809868635609746, 0.004575165919959545, -0.042421770747751, 0.1498396848162104, -0.02324030564964882, -0.0071057428306500825, 0.15251367648098885, -0.11741853751508254, -0.19306316689055944, 0.2939687915079828, -0.0948005217194025, -0.19529878733945744, 0.1214243945601733, -0.14929431294357137, -0.1051959410069685, 0.02030420154499422, 0.09762874290546668, 0.13076691115773947, -0.0888457590647574, 0.10137510399467178, -0.033148923024003, 0.14543925927552795, 0.0698766497662291, 0.15580669541044959, 0.14357482830694476, 0.08579952349620205, 0.15196983643441594, 0.25476917371686014, -0.011243021635371926, -0.2512930919183418, -0.31962371371420367, -0.17646830821675913, -0.32504691037216354, 0.14505247075742642, -0.16152455536316015, -0.19626626738214067, 0.4656952058098146, 0.10548341620181288, 0.2120964227443827, 0.10634977798326872, 0.24274294477488315, 0.1739154291239434, -0.010181674700496452, 0.12178811627174062, 0.17568892130761274, 0.13415114475979603, 0.073442555240555, -0.3052023500869317, 0.09376433483391468, 0.1138502958139205] |
709.328 | Spontaneous gauge symmetry breaking in a supersymmetric Chern-Simons
model | This works presents a perturbative analysis of the supersymmetric
Chern-Simons model in three spacetime dimensions coupled to a Higgs field,
using the superfield formalism. We study the spontaneous symmetry breaking of
the U(1) gauge symmetry and evaluate the first quantum corrections to the
effective action in the broken phase. We show that the infinite renormalization
of the gap equation is enough to ensure the renormalizability of the model at
the first loop level.
| hep-th | this works presents a perturbative analysis of the supersymmetric chernsimons model in three spacetime dimensions coupled to a higgs field using the superfield formalism we study the spontaneous symmetry breaking of the u1 gauge symmetry and evaluate the first quantum corrections to the effective action in the broken phase we show that the infinite renormalization of the gap equation is enough to ensure the renormalizability of the model at the first loop level | [['this', 'works', 'presents', 'a', 'perturbative', 'analysis', 'of', 'the', 'supersymmetric', 'chernsimons', 'model', 'in', 'three', 'spacetime', 'dimensions', 'coupled', 'to', 'a', 'higgs', 'field', 'using', 'the', 'superfield', 'formalism', 'we', 'study', 'the', 'spontaneous', 'symmetry', 'breaking', 'of', 'the', 'u1', 'gauge', 'symmetry', 'and', 'evaluate', 'the', 'first', 'quantum', 'corrections', 'to', 'the', 'effective', 'action', 'in', 'the', 'broken', 'phase', 'we', 'show', 'that', 'the', 'infinite', 'renormalization', 'of', 'the', 'gap', 'equation', 'is', 'enough', 'to', 'ensure', 'the', 'renormalizability', 'of', 'the', 'model', 'at', 'the', 'first', 'loop', 'level']] | [-0.1802608476415889, 0.17904199370380797, -0.10559389300083052, 0.08323576487600803, -0.07275464370438497, -0.12766620477227725, 0.009000507626708036, 0.3038399355383973, -0.179469583638982, -0.26754115243467874, 0.059584752363089015, -0.2635610244198613, -0.16383369575726658, 0.02340058415286141, 0.004636143525577572, 0.06681564549137264, -0.04433195282743402, 0.06641306067268325, -0.11826747587933013, -0.24562749405684944, 0.3347174643765344, 0.004275028400875832, 0.28957491194548673, 0.09528146628035258, 0.1332070293935169, -0.024749865503471396, 0.018547256630271264, -0.04701319407059314, -0.09842430660869904, 0.09830506756895362, 0.16944635849229175, 0.0008278302848339081, 0.15914250775048994, -0.4083994292488245, -0.2110279854227572, 0.056381287703877445, 0.1433356657675276, 0.20165055388048903, -0.023493850348542813, -0.331066865040219, 0.07981409783130639, -0.21514071507558022, -0.15943585996586218, -0.1021919144789548, -0.0746339284224844, -0.17177187057199236, -0.2631452758541356, 0.07395586912155036, 0.015528328755028444, 0.05460199138328229, -0.043458254114814, 0.0047918802592903376, -0.06496292912107829, 0.079989952303163, 0.16447265048779242, 0.02820531244282866, 0.10559336439553291, -0.20885522870180653, -0.14105823926295932, 0.43949249565397225, -0.11553853631580938, -0.20256027595095388, 0.10741593223065138, -0.1515709654059682, -0.2111504425562612, 0.10264861034723764, 0.14314615961215268, 0.13996285986002177, -0.14153160916462745, 0.23081890150365636, -0.005181094274333079, 0.1700440441219978, 0.012883548918243956, -0.003607407091057872, 0.1942425251568425, 0.144907317787715, 0.03218199275689174, 0.15414179711640902, -0.014805577126050955, -0.16894470733807307, -0.46951687596228026, -0.160051790926869, -0.12737788555965032, 0.06493875003030702, -0.0955324634614206, -0.1310662847867057, 0.46086530317233443, 0.21835128260036446, 0.15079864787499178, 0.05464856579185349, 0.2807519844197349, 0.1658446645070735, 0.11088876363068614, 0.01369136461528809, 0.25985698427363896, 0.16356389074784078, 0.05757756385161248, -0.3173216705669789, -0.13641637790795058, 0.1599730277459507] |
709.3281 | Variable Stars in the Newly Discovered Milky Way Dwarf Spheroidal
Satellite Canes Venatici I | We have identified 23 RR Lyrae stars and 3 possible Anomalous Cepheids among
84 candidate variables in the recently discovered Canes Venatici I dwarf
spheroidal galaxy. The mean period of 18 RRab type stars is <Pab> = 0.60
+/-0.01 days. This period, and the location of these stars in the
period-amplitude diagram, suggest that Canes Venatici I is likely an
Oosterhoff-intermediate system. The average apparent magnitude of the RR Lyrae
stars <V> = 22.17 +/-0.02 is used to obtain a precision distance estimate of
210 +7/-5 kpc, for an adopted reddening E(B-V)=0.03 mag. We present a B,V
color-magnitude diagram of Canes Venatici I that reaches V about 25 mag, and
shows that the galaxy has a mainly old stellar population with a metal
abundance near [Fe/H] = -2.0 dex. The width of the red giant branch and the
location of the candidate Anomalous Cepheids on the color-magnitude diagram may
indicate that the galaxy hosts a complex stellar population with stars from
about 13 Gyr to as young as about 0.6 Gyr.
| astro-ph | we have identified 23 rr lyrae stars and 3 possible anomalous cepheids among 84 candidate variables in the recently discovered canes venatici i dwarf spheroidal galaxy the mean period of 18 rrab type stars is pab 060 001 days this period and the location of these stars in the periodamplitude diagram suggest that canes venatici i is likely an oosterhoffintermediate system the average apparent magnitude of the rr lyrae stars v 2217 002 is used to obtain a precision distance estimate of 210 75 kpc for an adopted reddening ebv003 mag we present a bv colormagnitude diagram of canes venatici i that reaches v about 25 mag and shows that the galaxy has a mainly old stellar population with a metal abundance near feh 20 dex the width of the red giant branch and the location of the candidate anomalous cepheids on the colormagnitude diagram may indicate that the galaxy hosts a complex stellar population with stars from about 13 gyr to as young as about 06 gyr | [['we', 'have', 'identified', '23', 'rr', 'lyrae', 'stars', 'and', '3', 'possible', 'anomalous', 'cepheids', 'among', '84', 'candidate', 'variables', 'in', 'the', 'recently', 'discovered', 'canes', 'venatici', 'i', 'dwarf', 'spheroidal', 'galaxy', 'the', 'mean', 'period', 'of', '18', 'rrab', 'type', 'stars', 'is', 'pab', '060', '001', 'days', 'this', 'period', 'and', 'the', 'location', 'of', 'these', 'stars', 'in', 'the', 'periodamplitude', 'diagram', 'suggest', 'that', 'canes', 'venatici', 'i', 'is', 'likely', 'an', 'oosterhoffintermediate', 'system', 'the', 'average', 'apparent', 'magnitude', 'of', 'the', 'rr', 'lyrae', 'stars', 'v', '2217', '002', 'is', 'used', 'to', 'obtain', 'a', 'precision', 'distance', 'estimate', 'of', '210', '75', 'kpc', 'for', 'an', 'adopted', 'reddening', 'ebv003', 'mag', 'we', 'present', 'a', 'bv', 'colormagnitude', 'diagram', 'of', 'canes', 'venatici', 'i', 'that', 'reaches', 'v', 'about', '25', 'mag', 'and', 'shows', 'that', 'the', 'galaxy', 'has', 'a', 'mainly', 'old', 'stellar', 'population', 'with', 'a', 'metal', 'abundance', 'near', 'feh', '20', 'dex', 'the', 'width', 'of', 'the', 'red', 'giant', 'branch', 'and', 'the', 'location', 'of', 'the', 'candidate', 'anomalous', 'cepheids', 'on', 'the', 'colormagnitude', 'diagram', 'may', 'indicate', 'that', 'the', 'galaxy', 'hosts', 'a', 'complex', 'stellar', 'population', 'with', 'stars', 'from', 'about', '13', 'gyr', 'to', 'as', 'young', 'as', 'about', '06', 'gyr']] | [-0.05622716544617322, 0.1051070579548347, -0.104429771002504, 0.09751353164929674, -0.13788200437903425, -0.08034000998651165, 0.1731350823524519, 0.4244145904445932, -0.12389263410053293, -0.3990131442911834, -0.00801854916166381, -0.32264887516378493, -0.04457664499066249, 0.17614322583956113, -0.13963035551881017, -0.1220198299193899, 0.08937944191192011, -0.03857031354536524, -0.03573372278541293, -0.3557629267840336, 0.21309329405388175, -0.08763184076884672, 0.09194135720220704, -0.15608559309995534, 0.025242435546325787, -0.13395618648029908, -0.06926009417241273, -0.07727276869783443, -0.21451035555028716, -0.0005451203199169998, 0.20595049378573008, 0.11447524676138225, 0.21340401503922685, -0.21327580667344764, -0.12557058043568672, 0.039897744227865975, 0.30022483061821686, -0.017511991936425192, -0.06370261671101962, -0.275884947894762, 0.08997354434956963, -0.17446383737426782, -0.25434177751525394, 0.1630103100545793, 0.18586153435587352, 0.021918682879047646, -0.17853520396775344, 0.20810462732402984, 0.00932820693040932, 0.21846097959150074, -0.1206673877812656, -0.2412076934782644, -0.09668965525703416, 0.05380660056003502, -0.03257447339100985, 0.1591804953696694, 0.11885247590059105, -0.09950439457038772, 0.0022528265426877796, 0.3944157117844692, -0.08995760525188719, 0.10758124054354128, 0.17739507720051778, -0.1952802863615077, -0.16846148904629185, 0.04449726804159582, 0.09900411986745894, 0.12214057093730107, -0.22628048634422676, 0.007427255458120878, 0.02115089405976635, 0.2619854433190388, 0.04410857087974104, 0.06906477695805993, 0.3140127482613371, 0.12158126006778773, 0.015918518442915575, -0.007382528839765915, -0.36884133388715173, -0.04565592496718247, -0.2211781643785625, -0.11700466050145526, -0.06005604564069515, 0.11986235225465082, -0.2423735480014806, -0.14153665841911875, 0.3348485716435659, 0.0945959014151456, 0.20183798679084117, 0.01663424929193709, 0.2081845355458513, 0.07672451831638769, 0.13784128352615102, 0.15584655499107958, 0.3418152756002244, 0.2558447312552571, 0.07842464267152882, -0.24087864928982786, 0.09843488425914464, 0.009635778318624943] |
709.3282 | Unified Treatment of Mixed Vector-Scalar Screened Coulomb Potentials for
Fermions | The problem of a fermion subject to a general mixing of vector and scalar
screened Coulomb potentials in a two-dimensional world is analyzed and
quantization conditions are found.
| hep-th quant-ph | the problem of a fermion subject to a general mixing of vector and scalar screened coulomb potentials in a twodimensional world is analyzed and quantization conditions are found | [['the', 'problem', 'of', 'a', 'fermion', 'subject', 'to', 'a', 'general', 'mixing', 'of', 'vector', 'and', 'scalar', 'screened', 'coulomb', 'potentials', 'in', 'a', 'twodimensional', 'world', 'is', 'analyzed', 'and', 'quantization', 'conditions', 'are', 'found']] | [-0.17959878241111124, 0.21113884315959044, -0.04578482821982886, 0.11769785155359257, -0.03313687303203291, -0.1988617203231635, 0.0026567240711301565, 0.32312787477193133, -0.2089489493851683, -0.23530725216759102, 0.010775727232352697, -0.25820858284298864, -0.19097295390175922, 0.10691082517483405, -0.004687373825748052, 0.0783312545224492, 0.04591831811038511, 0.08835848647036723, -0.109154273090618, -0.2772675131314567, 0.34121270570904016, -0.028811696434526572, 0.2449581061622926, 0.11043723586148449, 0.06642781648718353, -0.005494049733637699, 0.009502777318370395, 0.061165649576910903, -0.07844154708852459, 0.07816957585496961, 0.17482656426727772, -0.016026407280670747, 0.2531101778149605, -0.3890156759880483, -0.24835984482030785, 0.07700192555785179, 0.10781884923510786, 0.11482537735719234, -0.11325105605646968, -0.30724730369235786, 0.065098301756994, -0.12467401065597576, -0.1400681952945888, -0.06409833819738456, 0.021130841624523913, -0.039686882901670675, -0.3999224573905979, 0.08394074493220874, -0.017117271133299385, 0.0240203977362918, -0.1407947192201391, -0.09161681388754264, -0.0395914547677551, 0.04889674343368305, 0.08061960255560864, 0.02887241233007184, 0.09478844046991851, -0.1893319913319179, -0.06740488428373023, 0.481114426361663, -0.06864801262106214, -0.3111236189891185, 0.16801398074520485, -0.08863405381063265, -0.0489490918116644, 0.08960683170672772, 0.1737216277314084, 0.1395723885424169, -0.23072891369728105, 0.20196468435876472, -0.043920455766575675, 0.06882198197750508, 0.06373189108645809, 0.004583831005480273, 0.22864587445344245, 0.12735651962326042, 0.04086924251168966, 0.14962415882785404, -0.03692915669775435, -0.1943900654025908, -0.30288662096219404, -0.11721145494707993, -0.18263020047119685, 0.06423472962342203, -0.03061106311984726, -0.22252793363960727, 0.4141708617898985, 0.07437123231855887, 0.18342346931707912, -0.01391236502760356, 0.2397964562904755, 0.14219562842377595, 0.0810181148616331, 0.0072297273270253625, 0.24934489220114692, 0.22191475704312325, 0.13073694200388022, -0.20598210462568595, -0.07787372896979962, 0.05721591918596199] |
709.3283 | Algorithmic and topological aspects of semi-algebraic sets defined by
quadratic polynomial | In this thesis, we consider semi-algebraic sets over a real closed field $R$
defined by quadratic polynomials. Semi-algebraic sets of $R^k$ are defined as
the smallest family of sets in $R^k$ that contains the algebraic sets as well
as the sets defined by polynomial inequalities, and which is also closed under
the boolean operations (complementation, finite unions and finite
intersections). We prove new bounds on the Betti numbers as well as on the
number of different stable homotopy types of certain fibers of semi-algebraic
sets over a real closed field $R$ defined by quadratic polynomials, in terms of
the parameters of the system of polynomials defining them, which improve the
known results. We conclude the thesis with presenting two new algorithms along
with their implementations. The first algorithm computes the number of
connected components and the first Betti number of a semi-algebraic set defined
by compact objects in $\mathbb{R}^k$ which are simply connected. This algorithm
improves the well-know method using a triangulation of the semi-algebraic set.
Moreover, the algorithm has been efficiently implemented which was not possible
before. The second algorithm computes efficiently the real intersection of
three quadratic surfaces in $\mathbb{R}^3$ using a semi-numerical approach.
| math.AG cs.CG math.AT math.GT | in this thesis we consider semialgebraic sets over a real closed field r defined by quadratic polynomials semialgebraic sets of rk are defined as the smallest family of sets in rk that contains the algebraic sets as well as the sets defined by polynomial inequalities and which is also closed under the boolean operations complementation finite unions and finite intersections we prove new bounds on the betti numbers as well as on the number of different stable homotopy types of certain fibers of semialgebraic sets over a real closed field r defined by quadratic polynomials in terms of the parameters of the system of polynomials defining them which improve the known results we conclude the thesis with presenting two new algorithms along with their implementations the first algorithm computes the number of connected components and the first betti number of a semialgebraic set defined by compact objects in mathbbrk which are simply connected this algorithm improves the wellknow method using a triangulation of the semialgebraic set moreover the algorithm has been efficiently implemented which was not possible before the second algorithm computes efficiently the real intersection of three quadratic surfaces in mathbbr3 using a seminumerical approach | [['in', 'this', 'thesis', 'we', 'consider', 'semialgebraic', 'sets', 'over', 'a', 'real', 'closed', 'field', 'r', 'defined', 'by', 'quadratic', 'polynomials', 'semialgebraic', 'sets', 'of', 'rk', 'are', 'defined', 'as', 'the', 'smallest', 'family', 'of', 'sets', 'in', 'rk', 'that', 'contains', 'the', 'algebraic', 'sets', 'as', 'well', 'as', 'the', 'sets', 'defined', 'by', 'polynomial', 'inequalities', 'and', 'which', 'is', 'also', 'closed', 'under', 'the', 'boolean', 'operations', 'complementation', 'finite', 'unions', 'and', 'finite', 'intersections', 'we', 'prove', 'new', 'bounds', 'on', 'the', 'betti', 'numbers', 'as', 'well', 'as', 'on', 'the', 'number', 'of', 'different', 'stable', 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709.3284 | Scaling solution for small cosmic string loops | The equation governing the time evolution of the number density of loops in a
cosmic string network is a detailed balance determined by energy conservation.
We solve this equation with the inclusion of the gravitational radiation effect
which causes the loops to shrink (and eventually decay) as time elapses. The
solution approaches a scaling regime in which the total energy density in loops
remains finite, converging both in the infrared and in the ultraviolet.
| gr-qc astro-ph | the equation governing the time evolution of the number density of loops in a cosmic string network is a detailed balance determined by energy conservation we solve this equation with the inclusion of the gravitational radiation effect which causes the loops to shrink and eventually decay as time elapses the solution approaches a scaling regime in which the total energy density in loops remains finite converging both in the infrared and in the ultraviolet | [['the', 'equation', 'governing', 'the', 'time', 'evolution', 'of', 'the', 'number', 'density', 'of', 'loops', 'in', 'a', 'cosmic', 'string', 'network', 'is', 'a', 'detailed', 'balance', 'determined', 'by', 'energy', 'conservation', 'we', 'solve', 'this', 'equation', 'with', 'the', 'inclusion', 'of', 'the', 'gravitational', 'radiation', 'effect', 'which', 'causes', 'the', 'loops', 'to', 'shrink', 'and', 'eventually', 'decay', 'as', 'time', 'elapses', 'the', 'solution', 'approaches', 'a', 'scaling', 'regime', 'in', 'which', 'the', 'total', 'energy', 'density', 'in', 'loops', 'remains', 'finite', 'converging', 'both', 'in', 'the', 'infrared', 'and', 'in', 'the', 'ultraviolet']] | [-0.16126010789082865, 0.18436132579085393, -0.0931415527152854, 0.08110132626245252, -0.0281765678696133, -0.03130274546030607, 0.05566001215295212, 0.29526405751302437, -0.28448678087443113, -0.32659611579288755, 0.07918756732849304, -0.2845074036032767, -0.08346312203620737, 0.11645683333768535, 0.03547327125419837, 0.0495139179323372, 0.02700877033576772, 0.03631302322311377, -0.04978097118814853, -0.18266003088069124, 0.3271861982003257, 0.10641437933176152, 0.2677862390724791, 0.0715644192705686, 0.09732958902856587, -0.04183902744380002, -0.05081375213843342, 0.06343404772987186, -0.13298620626242277, 0.025786801707392837, 0.18035238614853322, 0.07166472375015351, 0.2694752238725463, -0.461964001249824, -0.24975673559851744, 0.09535674741995093, 0.17173390820421078, 0.10807127765744824, -0.029815290547982865, -0.1933524361434015, 0.02373591168607409, -0.13809274470534277, -0.16647294847722593, -0.0009108460130723747, 0.039366173155203056, 0.032570565635388765, -0.2265417311101447, 0.11059834668412805, 0.013218597206916358, -0.046392420948659245, -0.12062249263446476, -0.014326728012010053, -0.03847359999309521, 0.11738866258009865, 0.10483070906893527, 0.03822514295854883, 0.11531843559036183, -0.19241116508979955, -0.05924762028735131, 0.3557784943967252, -0.08757480898418941, -0.16976107208402763, 0.1319386313316991, -0.1724286916527293, -0.10383443000751573, 0.19697548104198398, 0.14044643100980367, 0.12073031301937394, -0.15352124773670692, 0.13189880374812749, 0.028084445791948284, 0.15346743677415559, 0.08477474038010917, 0.02688487310189049, 0.21817006543278694, 0.1639335354714579, 0.05542630816470026, 0.11552939642019369, -0.07941231855216462, -0.12280622057969103, -0.35083066771511695, -0.13588394715475874, -0.1338834281306009, 0.08171085647080799, -0.09795635871902246, -0.20567857141833049, 0.38443835245797764, 0.1087793837100066, 0.21116245996106314, 0.06948964192368393, 0.3188676866073463, 0.187937596347183, 0.08022304715956813, 0.11828544615088282, 0.24269503273220883, 0.1448922846214594, 0.1610158122824253, -0.3340523780663372, 0.012595270316720614, 0.09691605648982364] |
709.3285 | Effect of frequency mismatched photons in quantum information processing | Many promising schemes for quantum information processing (QIP) rely on
few-photon interference effects. In these proposals, the photons are treated as
being indistinguishable particles. However, single photon sources are typically
subject to variation from device to device. Thus the photons emitted from
different sources will not be perfectly identical, and there will be some
variation in their frequencies. Here, we analyse the effect of this frequency
mismatch on QIP schemes. As examples, we consider the distributed QIP protocol
proposed by Barrett and Kok, and Hong-Ou-Mandel interference which lies at the
heart of many linear optical schemes for quantum computing. In the distributed
QIP protocol, we find that the fidelity of entangled qubit states depends
crucially on the time resolution of single photon detectors. In particular,
there is no reduction in the fidelity when an ideal detector model is assumed,
while reduced fidelities may be encountered when using realistic detectors with
a finite response time. We obtain similar results in the case of Hong-Ou-Mandel
interference -- with perfect detectors, a modified version of quantum
interference is seen, and the visibility of the interference pattern is reduced
as the detector time resolution is reduced. Our findings indicate that problems
due to frequency mismatch can be overcome, provided sufficiently fast detectors
are available.
| quant-ph | many promising schemes for quantum information processing qip rely on fewphoton interference effects in these proposals the photons are treated as being indistinguishable particles however single photon sources are typically subject to variation from device to device thus the photons emitted from different sources will not be perfectly identical and there will be some variation in their frequencies here we analyse the effect of this frequency mismatch on qip schemes as examples we consider the distributed qip protocol proposed by barrett and kok and hongoumandel interference which lies at the heart of many linear optical schemes for quantum computing in the distributed qip protocol we find that the fidelity of entangled qubit states depends crucially on the time resolution of single photon detectors in particular there is no reduction in the fidelity when an ideal detector model is assumed while reduced fidelities may be encountered when using realistic detectors with a finite response time we obtain similar results in the case of hongoumandel interference with perfect detectors a modified version of quantum interference is seen and the visibility of the interference pattern is reduced as the detector time resolution is reduced our findings indicate that problems due to frequency mismatch can be overcome provided sufficiently fast detectors are available | [['many', 'promising', 'schemes', 'for', 'quantum', 'information', 'processing', 'qip', 'rely', 'on', 'fewphoton', 'interference', 'effects', 'in', 'these', 'proposals', 'the', 'photons', 'are', 'treated', 'as', 'being', 'indistinguishable', 'particles', 'however', 'single', 'photon', 'sources', 'are', 'typically', 'subject', 'to', 'variation', 'from', 'device', 'to', 'device', 'thus', 'the', 'photons', 'emitted', 'from', 'different', 'sources', 'will', 'not', 'be', 'perfectly', 'identical', 'and', 'there', 'will', 'be', 'some', 'variation', 'in', 'their', 'frequencies', 'here', 'we', 'analyse', 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709.3286 | Perihelion precession and deflection of light in gravitational field of
wormholes | Quite exotic relativistic objects known as wormholes are hypothetical
candidates for central machine of active galactic nuclei as well as black
holes. We find the magnitude of the perihelion precession and the deflection of
light in gravitational field of a wormhole and compare them with those for a
black hole. The impact parameter is taken to be much larger than the wormhole
throat size. We show that the relative difference between results for a black
hole and a wormhole may be significant and amount to tens of percent.
| gr-qc astro-ph | quite exotic relativistic objects known as wormholes are hypothetical candidates for central machine of active galactic nuclei as well as black holes we find the magnitude of the perihelion precession and the deflection of light in gravitational field of a wormhole and compare them with those for a black hole the impact parameter is taken to be much larger than the wormhole throat size we show that the relative difference between results for a black hole and a wormhole may be significant and amount to tens of percent | [['quite', 'exotic', 'relativistic', 'objects', 'known', 'as', 'wormholes', 'are', 'hypothetical', 'candidates', 'for', 'central', 'machine', 'of', 'active', 'galactic', 'nuclei', 'as', 'well', 'as', 'black', 'holes', 'we', 'find', 'the', 'magnitude', 'of', 'the', 'perihelion', 'precession', 'and', 'the', 'deflection', 'of', 'light', 'in', 'gravitational', 'field', 'of', 'a', 'wormhole', 'and', 'compare', 'them', 'with', 'those', 'for', 'a', 'black', 'hole', 'the', 'impact', 'parameter', 'is', 'taken', 'to', 'be', 'much', 'larger', 'than', 'the', 'wormhole', 'throat', 'size', 'we', 'show', 'that', 'the', 'relative', 'difference', 'between', 'results', 'for', 'a', 'black', 'hole', 'and', 'a', 'wormhole', 'may', 'be', 'significant', 'and', 'amount', 'to', 'tens', 'of', 'percent']] | [-0.1251580012612976, 0.10490321006562392, -0.06492969702759926, 0.16878979733155575, -0.09740391585298559, -0.13064872722183776, 0.030473309696059336, 0.32650119737213984, -0.1578706430313601, -0.39827223194085737, 0.07201808094528546, -0.33560879850252107, -0.03415468914847059, 0.25803384494925424, -0.06291221638887444, 0.00987526565917175, -0.004770388794978234, 0.03679936624724756, -0.08309673259447498, -0.20249688527970153, 0.34980911600922066, 0.09503578873012554, 0.15731151454912667, 0.009851589492014185, 0.06418575377690351, -0.04443952294108881, 0.039833159651607275, 0.09536560082977469, -0.11790497970692244, 0.04466250711332329, 0.19403741743934172, 0.11487268690358508, 0.20694653948091649, -0.4039979532615028, -0.235313455902294, 0.09344037078897766, 0.16908030573342164, 0.19784462129146876, -0.13598898297641426, -0.29706126283483836, 0.08637247402062216, -0.2658977291059934, -0.16815864490556784, -0.01911116288763217, 0.13997860059845896, 0.03479318669997156, -0.18435896776447241, 0.08720548811305145, 0.01790039129570108, -0.048775443516205996, -0.10774805160921956, -0.1033018523171036, -0.04554547253329391, 0.0863029404585673, 0.1837620078665416, 0.04714497047164266, 0.23495596810244024, -0.13246762987480246, -0.09907433946765112, 0.4143116815777665, -0.047291947188238155, -0.13232057486576113, 0.15898320103191177, -0.24969961455049502, -0.04275439186974175, 0.10986057616008277, 0.19169911391906103, 0.20697570342401211, -0.10450243279972876, 0.01597078822669573, 0.001752743383721364, 0.19011236574839463, 0.10928621751108122, 0.09442732388428836, 0.3794544246894392, 0.13788574331821027, 0.03325497482331808, 0.1515613596314903, -0.12792369593973324, -0.07036198323740708, -0.3109321832942607, -0.14758213649673219, -0.13205429338797164, 0.0802697908313183, -0.1795861756750541, -0.1303274038384023, 0.3238120082427155, 0.09891521536602257, 0.21093717564574696, -0.003710314747877419, 0.25841443396434854, 0.014303203669524837, 0.08941488415637816, 0.11717347072342156, 0.4194592253982343, 0.0935395851265639, 0.08734911816215819, -0.1879820402642839, -0.005818193201610649, 0.009859395245174792] |
709.3287 | A convexity theorem for the real part of a Borel invariant subvariety | M. Brion proved a convexity result for the moment map image of an irreducible
subvariety of a compact integral Kaehler manifold preserved by the
complexification of the Hamiltonian group action. V. Guillemin and R. Sjamaar
generalized this result to irreducible subvarieties preserved only by a Borel
subgroup. In another direction, L. O'Shea and R. Sjamaar proved a convexity
result for the moment map image of the submanifold fixed by an antisymplectic
involution. Analogous to Guillemin and Sjamaar's generalization of Brion's
theorem, in this paper we generalize O'Shea and Sjamaar's result, proving a
convexity theorem for the moment map image of the involution fixed set of an
irreducible subvariety preserved by a Borel subgroup.
| math.SG math.AG | m brion proved a convexity result for the moment map image of an irreducible subvariety of a compact integral kaehler manifold preserved by the complexification of the hamiltonian group action v guillemin and r sjamaar generalized this result to irreducible subvarieties preserved only by a borel subgroup in another direction l oshea and r sjamaar proved a convexity result for the moment map image of the submanifold fixed by an antisymplectic involution analogous to guillemin and sjamaars generalization of brions theorem in this paper we generalize oshea and sjamaars result proving a convexity theorem for the moment map image of the involution fixed set of an irreducible subvariety preserved by a borel subgroup | [['m', 'brion', 'proved', 'a', 'convexity', 'result', 'for', 'the', 'moment', 'map', 'image', 'of', 'an', 'irreducible', 'subvariety', 'of', 'a', 'compact', 'integral', 'kaehler', 'manifold', 'preserved', 'by', 'the', 'complexification', 'of', 'the', 'hamiltonian', 'group', 'action', 'v', 'guillemin', 'and', 'r', 'sjamaar', 'generalized', 'this', 'result', 'to', 'irreducible', 'subvarieties', 'preserved', 'only', 'by', 'a', 'borel', 'subgroup', 'in', 'another', 'direction', 'l', 'oshea', 'and', 'r', 'sjamaar', 'proved', 'a', 'convexity', 'result', 'for', 'the', 'moment', 'map', 'image', 'of', 'the', 'submanifold', 'fixed', 'by', 'an', 'antisymplectic', 'involution', 'analogous', 'to', 'guillemin', 'and', 'sjamaars', 'generalization', 'of', 'brions', 'theorem', 'in', 'this', 'paper', 'we', 'generalize', 'oshea', 'and', 'sjamaars', 'result', 'proving', 'a', 'convexity', 'theorem', 'for', 'the', 'moment', 'map', 'image', 'of', 'the', 'involution', 'fixed', 'set', 'of', 'an', 'irreducible', 'subvariety', 'preserved', 'by', 'a', 'borel', 'subgroup']] | [-0.22503412402836623, 0.001278515558342647, -0.12413466434546672, 0.06234456516958905, -0.10496649992924216, -0.13590219878154783, 0.023283769830389656, 0.30512330399216275, -0.34203245418261635, -0.17986380605983127, 0.08175416000442892, -0.21648990770851353, -0.12333818213948239, 0.15237508610970613, -0.2296322263299232, -0.0013893583904852908, 0.10649857730851962, 0.06488683124163509, -0.09838986801049482, -0.28498787780712664, 0.41405154163825564, -0.032993457882780484, 0.1988179657745387, 0.07188634503327837, 0.1683309833865316, 0.05367950230128074, -0.01233884432163518, -0.06200171828649081, -0.1285799252182509, 0.11562274419496545, 0.26885843250191716, 0.07661556516798725, 0.18108291598551998, -0.2926216024114231, -0.11831665941693334, 0.20031575619581, 0.10636206833744603, -0.06702258719741243, -0.016215060450202597, -0.3622599422140459, 0.0931037386871083, -0.15163309532588562, -0.24209534426722512, -0.10005540697448022, 0.10165353240939763, -0.0453584850477302, -0.2632009167887633, -0.023973238061025606, 0.25250261853885864, 0.18132706681965435, -0.05844124746138016, -0.09888156177063959, -0.08266399550020892, 0.007537629076205523, 0.014845769957997796, 0.18647924141826488, 0.10455424440777407, -0.05141165012708016, -0.0743555983083438, 0.34917160715347373, -0.10218120401877646, -0.2650334376479145, 0.04299641252635459, -0.15793992525942863, -0.19914325566929394, 0.12280531155679013, 0.023756015534817643, 0.17732369378868457, -0.07682892075220568, 0.22912758431166608, -0.16651943668854974, 0.01926026260068195, 0.1471116829754175, -0.07264074566155936, 0.09964285337209569, 0.04632081629902091, 0.1523770111637701, 0.1395886613311559, 0.044626689705569135, 0.049986706506790574, -0.3480868301296656, -0.19681128015972477, -0.17711294535959585, 0.19859321303335967, -0.13989897138610136, -0.12561335675500795, 0.3602446326244194, 0.02318751275028407, 0.17894096750419883, 0.13380789304300483, 0.1967680275242413, 0.03795283024554219, 0.025374758757848656, 0.05696594700695271, 0.07933324510314033, 0.2828097553857792, -0.04915494582228429, -0.15199716135847127, -0.05518041005918542, 0.28676505114850215] |
709.3288 | Cosmological versions of Vaidya's radiating stellar exterior, an
accelerating reference frame, and Kinnersley's photon rocket | The spacetimes for Vaidya's radiating stellar exterior and Kinnersley's
photon rocket in a cosmological background are obtained by performing the same
conformal transformation as is used to obtain the Robertson-Walker metric from
Minkowski spacetime. In the case of the cosmological radiating stellar
exterior, a two-fluid solution is found that obeys all of the energy conditions
and consists of a null fluid and a perfect fluid that asymptotically falls off
to the standard cosmological values for pressure and density at infinite
radius. For the cosmological photon rocket, the massless case is first
interpreted to obtain a solution for an accelerating cosmological reference
frame, and then the general case is interpreted: in both cases, a two-fluid
solution is found that consists of a null fluid and an imperfect fluid that
possesses heat conduction and anisotropic stress. The imperfect fluid appears
to contain an inhomogeneous dark energy component that acts to accelerate the
matter through space via a pressure gradient, but this component has negative
energy density on the trailing side of the rocket, meaning only the leading
side of the rocket is guaranteed to satisfy the weak and dominant energy
conditions. Unlike spacetimes that have rotation but no acceleration, the
cosmological photon rocket can serve as an example of a spacetime that
contradicts Mach's notion of acceleration, since an observer would see
empirical evidence of acceleration even though the matter does not accelerate
relative to the universe's background matter distribution.
| gr-qc | the spacetimes for vaidyas radiating stellar exterior and kinnersleys photon rocket in a cosmological background are obtained by performing the same conformal transformation as is used to obtain the robertsonwalker metric from minkowski spacetime in the case of the cosmological radiating stellar exterior a twofluid solution is found that obeys all of the energy conditions and consists of a null fluid and a perfect fluid that asymptotically falls off to the standard cosmological values for pressure and density at infinite radius for the cosmological photon rocket the massless case is first interpreted to obtain a solution for an accelerating cosmological reference frame and then the general case is interpreted in both cases a twofluid solution is found that consists of a null fluid and an imperfect fluid that possesses heat conduction and anisotropic stress the imperfect fluid appears to contain an inhomogeneous dark energy component that acts to accelerate the matter through space via a pressure gradient but this component has negative energy density on the trailing side of the rocket meaning only the leading side of the rocket is guaranteed to satisfy the weak and dominant energy conditions unlike spacetimes that have rotation but no acceleration the cosmological photon rocket can serve as an example of a spacetime that contradicts machs notion of acceleration since an observer would see empirical evidence of acceleration even though the matter does not accelerate relative to the universes background matter distribution | [['the', 'spacetimes', 'for', 'vaidyas', 'radiating', 'stellar', 'exterior', 'and', 'kinnersleys', 'photon', 'rocket', 'in', 'a', 'cosmological', 'background', 'are', 'obtained', 'by', 'performing', 'the', 'same', 'conformal', 'transformation', 'as', 'is', 'used', 'to', 'obtain', 'the', 'robertsonwalker', 'metric', 'from', 'minkowski', 'spacetime', 'in', 'the', 'case', 'of', 'the', 'cosmological', 'radiating', 'stellar', 'exterior', 'a', 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709.3289 | On Dynamics and Optimal Number of Replicas in Parallel Tempering
Simulations | We study the dynamics of parallel tempering simulations, also known as the
replica exchange technique, which has become the method of choice for
simulation of proteins and other complex systems. Recent results for the
optimal choice of the control parameter discretization allow a treatment
independent of the system in question. Analyzing mean first passage times
across control parameter space, we find an expression for the optimal number of
replicas in simulations covering a given temperature range. Our results suggest
a particular protocol to optimize the number of replicas in actual simulations.
| cond-mat.stat-mech cond-mat.soft physics.comp-ph q-bio.BM | we study the dynamics of parallel tempering simulations also known as the replica exchange technique which has become the method of choice for simulation of proteins and other complex systems recent results for the optimal choice of the control parameter discretization allow a treatment independent of the system in question analyzing mean first passage times across control parameter space we find an expression for the optimal number of replicas in simulations covering a given temperature range our results suggest a particular protocol to optimize the number of replicas in actual simulations | [['we', 'study', 'the', 'dynamics', 'of', 'parallel', 'tempering', 'simulations', 'also', 'known', 'as', 'the', 'replica', 'exchange', 'technique', 'which', 'has', 'become', 'the', 'method', 'of', 'choice', 'for', 'simulation', 'of', 'proteins', 'and', 'other', 'complex', 'systems', 'recent', 'results', 'for', 'the', 'optimal', 'choice', 'of', 'the', 'control', 'parameter', 'discretization', 'allow', 'a', 'treatment', 'independent', 'of', 'the', 'system', 'in', 'question', 'analyzing', 'mean', 'first', 'passage', 'times', 'across', 'control', 'parameter', 'space', 'we', 'find', 'an', 'expression', 'for', 'the', 'optimal', 'number', 'of', 'replicas', 'in', 'simulations', 'covering', 'a', 'given', 'temperature', 'range', 'our', 'results', 'suggest', 'a', 'particular', 'protocol', 'to', 'optimize', 'the', 'number', 'of', 'replicas', 'in', 'actual', 'simulations']] | [-0.14851328690669366, 0.08861053541221446, -0.08172743178003437, 0.014713877356600957, -0.007238155266699882, -0.0964543477652574, 0.09709429427991612, 0.38229056468212996, -0.25499437331314107, -0.3480852361113488, 0.09007759821207191, -0.22623572193065677, -0.13945726496628025, 0.2527763959900527, -0.0012807532387611631, 0.07628161186905025, 0.07830692016120468, 0.012889761308842635, -0.04441826340261396, -0.2405346340325835, 0.26364758216192596, 0.06423401364360701, 0.2956933358602308, 0.0205278412354496, 0.1023616329050408, 0.06172723874992148, -0.045052835247018835, 0.015077367828900486, -0.18028488921789596, 0.06304929562035826, 0.2411164044310431, 0.11208469459873684, 0.29778928424303347, -0.3935523666032068, -0.235152085577803, 0.09920932082996632, 0.16607610940175888, 0.14678648726600171, -0.05371693186052553, -0.21056659975099368, 0.05351182846237322, -0.16531639552296518, -0.14400232287512704, -0.08249961297222219, -0.007302016301264802, 0.049448528375660813, -0.3024708296243961, 0.049611086053658625, -0.019441791236973725, 0.047632108964435343, -0.07728455204434775, -0.08965829549648972, 0.01626279483713046, 0.16072681848251436, 0.0459918628682147, 0.007607846450480213, 0.14718199035684978, -0.09262915993375438, -0.12875772249158268, 0.3503131602614463, -0.016324510460125875, -0.20803132190645396, 0.16823861509520602, -0.10655111607655392, -0.14781557034271267, 0.11728867132134818, 0.18187617985429344, 0.15130839793390216, -0.11882060349683513, 0.059223292768385345, -0.03991409958273705, 0.19363537690714822, 0.006960247663760578, -0.00014553582398118552, 0.13757520553829905, 0.18840842325352952, 0.0928790317592467, 0.13530854101019021, -0.06148778980055435, -0.20196853883073226, -0.27183156309055756, -0.16350186723642623, -0.19882278673985337, 0.01685516205667467, -0.1466889238024353, -0.16631178031317317, 0.37846473100400724, 0.20450004450286033, 0.1848127453966619, 0.06660090945757015, 0.2900157670111774, 0.09187405977070659, 0.025395090481941843, 0.048675215004810264, 0.1795221839898399, 0.09940204818497647, 0.08473471709741996, -0.2599273424360205, 0.06419035660711905, 0.030682499356731608] |
709.329 | Discovery of an M9.5 Candidate Brown Dwarf in the TW Hydrae Association
- DENIS J124514.1-442907 | We report the discovery of a fifth candidate substellar system in the ~5-10
Myr TW Hydrae Association - DENIS J124514.1-442907. This object has a NIR
spectrum remarkably similar to that of 2MASS J1139511-315921, a known TW Hydrae
brown dwarf, with low surface gravity features such as a triangular-shaped
H-band, deep H2O absorption, weak alkali lines, and weak hydride bands. We find
an optical spectral type of M9.5 and estimate a mass of <24 M_Jup, assuming an
age of ~5-10 Myr. While the measured proper motion for DENIS J124514.1-442907
is inconclusive as a test for membership, its position in the sky is coincident
with the TW Hydrae Association. A more accurate proper motion measurement,
higher resolution spectroscopy for radial velocity, and a parallax measurement
are needed to derive the true space motion and to confirm its membership.
| astro-ph | we report the discovery of a fifth candidate substellar system in the 510 myr tw hydrae association denis j1245141442907 this object has a nir spectrum remarkably similar to that of 2mass j1139511315921 a known tw hydrae brown dwarf with low surface gravity features such as a triangularshaped hband deep h2o absorption weak alkali lines and weak hydride bands we find an optical spectral type of m95 and estimate a mass of 24 m_jup assuming an age of 510 myr while the measured proper motion for denis j1245141442907 is inconclusive as a test for membership its position in the sky is coincident with the tw hydrae association a more accurate proper motion measurement higher resolution spectroscopy for radial velocity and a parallax measurement are needed to derive the true space motion and to confirm its membership | [['we', 'report', 'the', 'discovery', 'of', 'a', 'fifth', 'candidate', 'substellar', 'system', 'in', 'the', '510', 'myr', 'tw', 'hydrae', 'association', 'denis', 'j1245141442907', 'this', 'object', 'has', 'a', 'nir', 'spectrum', 'remarkably', 'similar', 'to', 'that', 'of', '2mass', 'j1139511315921', 'a', 'known', 'tw', 'hydrae', 'brown', 'dwarf', 'with', 'low', 'surface', 'gravity', 'features', 'such', 'as', 'a', 'triangularshaped', 'hband', 'deep', 'h2o', 'absorption', 'weak', 'alkali', 'lines', 'and', 'weak', 'hydride', 'bands', 'we', 'find', 'an', 'optical', 'spectral', 'type', 'of', 'm95', 'and', 'estimate', 'a', 'mass', 'of', '24', 'm_jup', 'assuming', 'an', 'age', 'of', '510', 'myr', 'while', 'the', 'measured', 'proper', 'motion', 'for', 'denis', 'j1245141442907', 'is', 'inconclusive', 'as', 'a', 'test', 'for', 'membership', 'its', 'position', 'in', 'the', 'sky', 'is', 'coincident', 'with', 'the', 'tw', 'hydrae', 'association', 'a', 'more', 'accurate', 'proper', 'motion', 'measurement', 'higher', 'resolution', 'spectroscopy', 'for', 'radial', 'velocity', 'and', 'a', 'parallax', 'measurement', 'are', 'needed', 'to', 'derive', 'the', 'true', 'space', 'motion', 'and', 'to', 'confirm', 'its', 'membership']] | [-0.08305961517809674, 0.04856337490600982, -0.0919351211216833, 0.05628775812062274, -0.14387298108750773, -0.1392391832148012, 0.1212391647006056, 0.44569764616794155, -0.19895216685201608, -0.32977150492650226, 0.05795790635826612, -0.25248613321621505, 0.00015391972523420714, 0.15840196146811814, -0.09319042514692782, 0.0005785999670834805, 0.14309300714753626, -0.018989053080418615, -0.037044291935959144, -0.20134017805400817, 0.23294866442176185, 0.051462866199383145, 0.09869000089137737, -0.02702488309766789, 0.0828935712141762, -0.05564764058882637, -0.09133521474099585, -0.08361723642692116, -0.15949265091511275, 0.06272990963967952, 0.19130291447701647, 0.06940139018531356, 0.23154248853557205, -0.22048727533590973, -0.18728435458221535, 0.042912839342055746, 0.1679439696700389, 0.019784884560587152, -0.05608391027105009, -0.31264450360891316, 0.09872357807773396, -0.19755692993066645, -0.2023383241314861, 0.04089836276896102, 0.14603210045234824, 0.001533056390069117, -0.2782613241421829, 0.14493437811620252, -0.007116698519907948, 0.17140434906972027, -0.19669657557173387, -0.1481146513636721, -0.0521496302217133, 0.08309228123074636, -0.05780648804598845, 0.11889086018099372, 0.1226554189780657, -0.17071114782124927, -0.09400075576198112, 0.42113559349278984, -0.14973255129061863, -0.02840889052704985, 0.2762228904950215, -0.20859539242727415, -0.1687634553352399, 0.17159503591912134, 0.09189272955536171, 0.15973659537914664, -0.20615305631207934, -0.012416952959904307, -0.03879981061541721, 0.22787771773125445, 0.08831391419560641, 0.09066802090825163, 0.316210303171993, 0.13630915111428848, 0.05151004214855121, 0.05727413833479194, -0.34712997245553295, 0.000842925203137828, -0.23065989302765383, -0.1578294830824576, -0.11510732148150753, 0.05739954925760193, -0.09542208821539018, -0.136923755386046, 0.31167748127538797, 0.09669788291719847, 0.18380245885328578, 0.050599366608530955, 0.27194951619966923, 0.07968030152737367, 0.11211574788352377, 0.08958153646523342, 0.3299083663500789, 0.18382057510981603, 0.09642136041460124, -0.23978966301135524, 0.04330869489944631, -0.006153693884835208] |
709.3291 | Functional Annotation of Genes in Saccharomyces cerevisiae based on
Joint Betweenness | This paper has been withdrawn.
| q-bio.QM q-bio.MN | this paper has been withdrawn | [['this', 'paper', 'has', 'been', 'withdrawn']] | [-0.14966976195573806, -0.11479587350040674, -0.26925536394119265, -0.2174653896363452, -0.24278417900204657, -0.06483052410185337, -0.18645338097121567, 0.4360402226448059, -0.2831330731511116, -0.34362963438034055, 0.12004837393760681, -0.3683081828057766, -0.1602430183440447, -0.10558439195156097, -0.49794104844331744, 0.22114052325487138, 0.020489710569381713, -0.13509191051125527, -0.003394755348563194, -0.4261150062084198, 0.24723864942789078, 0.20099691897630692, 0.29493145644664764, 0.43429074883461, 0.01915901619940996, -0.230447637476027, -0.11513714343309403, 0.020372361689805985, -0.20633925572037698, 0.044814842939376834, 0.2428473174571991, 0.019041498890146613, 0.6547030150890351, -0.4033622771501541, -0.3201997369527817, 0.3520198702812195, 0.42603884935379027, 0.23336923271417617, -0.27920777946710584, -0.36215683072805405, 0.36309435218572617, -0.5702161848545074, -0.1315121427178383, 0.06789367422461509, 0.22953803576529025, -0.3321428090333939, 0.017446409910917282, -0.028199871815741063, 0.24563229084014893, 0.3347385682165623, 0.15144075378775596, -0.2489987626671791, 0.17282117679715156, 0.24701693132519723, 0.3440325528383255, 0.20867147911339998, -0.13285142406821251, 0.07563621033914388, -0.044104534387588504, 0.3356690138578415, 0.23557274155318736, -0.24962785169482232, 0.046857850253582, 0.04556192234158516, -0.26518367901444434, 0.15704565420746802, 0.21749483253806828, 0.11799136139452457, -0.5040611356496811, 0.422764346562326, -0.18172579109668732, 0.19774497151374817, 0.28551970086991785, -0.06363286226987838, 0.07455872595310212, 0.30426284223794936, -0.09061564113944769, 0.28927659466862676, -0.06672459170222282, 0.09313873648643493, -0.03926684409379959, -0.2222803145647049, -0.3248200133442879, 0.10310854855924845, 0.5389873318374157, -0.09992984607815743, 0.42208007872104647, 0.27619058787822726, 0.03591356128454208, -0.16131918579339982, 0.3660829946398735, 0.27453771883156153, 0.06713124886155128, -0.09843106493353844, 0.49104041904211043, 0.10996200516819954, 0.28820077180862425, 0.10187920853495598, 0.42227696925401687, 0.2043190725147724] |
709.3292 | Neon and Sulfur Abundances of Planetary Nebulae in the Magellanic Clouds | The chemical abundances of neon and sulfur for 25 planetary nebulae (PNe) in
the Magellanic Clouds are presented. These abundances have been derived using
mainly infrared data from the Spitzer Space Telescope. The implications for the
chemical evolution of these elements are discussed. A comparison with similarly
obtained abundances of Galactic PNe and HII regions and Magellanic Clouds HII
regions is also given. The average neon abundances are 6.0x10(-5) and
2.7x10(-5) for the PNe in the Large and Small Magellanic Clouds respectively.
These are ~1/3 and 1/6 of the average abundances of Galactic planetary nebulae
to which we compare. The average sulfur abundances for the LMC and SMC are
respectively 2.7x10(-6) and 1.0x10(-6). The Ne/S ratio (23.5) is on average
higher than the ratio found in Galactic PNe (16) but the range of values in
both data sets is similar for most of the objects. The neon abundances found in
PNe and HII regions agree with each other. It is possible that a few (3-4) of
the PNe in the sample have experienced some neon enrichment, but for two of
these objects the high Ne/S ratio can be explained by their very low sulfur
abundances. The neon and sulfur abundances derived in this paper are also
compared to previously published abundances using optical data and
photo-ionization models.
| astro-ph | the chemical abundances of neon and sulfur for 25 planetary nebulae pne in the magellanic clouds are presented these abundances have been derived using mainly infrared data from the spitzer space telescope the implications for the chemical evolution of these elements are discussed a comparison with similarly obtained abundances of galactic pne and hii regions and magellanic clouds hii regions is also given the average neon abundances are 60x105 and 27x105 for the pne in the large and small magellanic clouds respectively these are 13 and 16 of the average abundances of galactic planetary nebulae to which we compare the average sulfur abundances for the lmc and smc are respectively 27x106 and 10x106 the nes ratio 235 is on average higher than the ratio found in galactic pne 16 but the range of values in both data sets is similar for most of the objects the neon abundances found in pne and hii regions agree with each other it is possible that a few 34 of the pne in the sample have experienced some neon enrichment but for two of these objects the high nes ratio can be explained by their very low sulfur abundances the neon and sulfur abundances derived in this paper are also compared to previously published abundances using optical data and photoionization models | [['the', 'chemical', 'abundances', 'of', 'neon', 'and', 'sulfur', 'for', '25', 'planetary', 'nebulae', 'pne', 'in', 'the', 'magellanic', 'clouds', 'are', 'presented', 'these', 'abundances', 'have', 'been', 'derived', 'using', 'mainly', 'infrared', 'data', 'from', 'the', 'spitzer', 'space', 'telescope', 'the', 'implications', 'for', 'the', 'chemical', 'evolution', 'of', 'these', 'elements', 'are', 'discussed', 'a', 'comparison', 'with', 'similarly', 'obtained', 'abundances', 'of', 'galactic', 'pne', 'and', 'hii', 'regions', 'and', 'magellanic', 'clouds', 'hii', 'regions', 'is', 'also', 'given', 'the', 'average', 'neon', 'abundances', 'are', '60x105', 'and', '27x105', 'for', 'the', 'pne', 'in', 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709.3293 | Stellar Population Challenge: analysis of M67 with the VO | In this poster we present the analysis of the CMD of M67 (proposed in the
Stellar Population Challenge) performed with VO applications. We found that,
although the VO environment is still not ready to perform a complete analysis,
its use provides highly useful additional information for the analysis. Thanks
to the current VO framework, we are able to identify stars in the provided CMD
that are not suitable for isochrone fitting. Additionally, we can complete our
knowledge of this cluster extending the analysis to IR colors, which were not
provided in the original data but that are available thanks to the VO. On the
negative side, we find it difficult to access theoretical data from VO
applications, so, currently, it is not possible to perform completely the
analysis of the cluster inside the VO framework. However it is expected that
the situation will improve in a near future.
| astro-ph | in this poster we present the analysis of the cmd of m67 proposed in the stellar population challenge performed with vo applications we found that although the vo environment is still not ready to perform a complete analysis its use provides highly useful additional information for the analysis thanks to the current vo framework we are able to identify stars in the provided cmd that are not suitable for isochrone fitting additionally we can complete our knowledge of this cluster extending the analysis to ir colors which were not provided in the original data but that are available thanks to the vo on the negative side we find it difficult to access theoretical data from vo applications so currently it is not possible to perform completely the analysis of the cluster inside the vo framework however it is expected that the situation will improve in a near future | [['in', 'this', 'poster', 'we', 'present', 'the', 'analysis', 'of', 'the', 'cmd', 'of', 'm67', 'proposed', 'in', 'the', 'stellar', 'population', 'challenge', 'performed', 'with', 'vo', 'applications', 'we', 'found', 'that', 'although', 'the', 'vo', 'environment', 'is', 'still', 'not', 'ready', 'to', 'perform', 'a', 'complete', 'analysis', 'its', 'use', 'provides', 'highly', 'useful', 'additional', 'information', 'for', 'the', 'analysis', 'thanks', 'to', 'the', 'current', 'vo', 'framework', 'we', 'are', 'able', 'to', 'identify', 'stars', 'in', 'the', 'provided', 'cmd', 'that', 'are', 'not', 'suitable', 'for', 'isochrone', 'fitting', 'additionally', 'we', 'can', 'complete', 'our', 'knowledge', 'of', 'this', 'cluster', 'extending', 'the', 'analysis', 'to', 'ir', 'colors', 'which', 'were', 'not', 'provided', 'in', 'the', 'original', 'data', 'but', 'that', 'are', 'available', 'thanks', 'to', 'the', 'vo', 'on', 'the', 'negative', 'side', 'we', 'find', 'it', 'difficult', 'to', 'access', 'theoretical', 'data', 'from', 'vo', 'applications', 'so', 'currently', 'it', 'is', 'not', 'possible', 'to', 'perform', 'completely', 'the', 'analysis', 'of', 'the', 'cluster', 'inside', 'the', 'vo', 'framework', 'however', 'it', 'is', 'expected', 'that', 'the', 'situation', 'will', 'improve', 'in', 'a', 'near', 'future']] | [-0.020007044163444457, 0.01197411899605917, -0.11619581410510314, 0.09262944855160911, -0.12106066156883498, -0.09685492363594775, 0.09907900929652355, 0.45871055131224364, -0.23315855109988637, -0.3348431742555034, 0.13132452189126304, -0.2580074286843474, -0.12176195893914916, 0.211984629679874, -0.08831199550548115, 0.012050640284370102, 0.13376005382412365, 0.019449688362058352, -3.0135854251204512e-05, -0.27731782859317156, 0.27994971962589016, 0.06709538670445515, 0.2424036261477709, 0.07038889963154656, -0.013662328127129758, -0.033153506637727086, -0.0772846862233269, -0.010380632741175391, -0.12320736996893224, 0.15319241961107175, 0.30259098726438005, 0.176034479046467, 0.2277499197337641, -0.3971636524247761, -0.18347995440047737, 0.0550096335229338, 0.1833090991146762, 0.1241648545601984, -0.07921309540491879, -0.27017294162431277, 0.11566534445493645, -0.14735243815890942, -0.15003537072334439, -0.1123812717410761, -0.006114394844484491, -0.026470214421892336, -0.2489114328149102, 0.010051307837145302, 0.017738838796110545, 0.05752290127723402, -0.07189538185028485, -0.10296620844510963, -0.04274132241639686, 0.20385346857113512, -0.0033804434776381663, 0.05118856928075311, 0.09139073869792393, -0.10658201747070495, -0.0438591684513675, 0.40903614446319436, -0.06822561479419016, -0.13907051452662092, 0.2323738995395173, -0.13939006236142706, -0.18432095731809936, 0.08897566676416711, 0.11780691340666365, 0.10170226060231594, -0.21751884503818647, 0.0692171261274583, -0.010353080255004603, 0.20668958439617544, -0.029890696798149194, 0.014862617295285737, 0.21312666435197397, 0.1704185250356032, 0.06264726752163591, 0.09249421564320959, -0.12250382774603881, -0.07810378534053893, -0.27064217884420744, -0.13126919239230855, -0.16161741561734597, -0.00952816341973753, -0.024267775277179236, -0.1626136602229766, 0.3573715126038076, 0.24904441510364916, 0.16750877009817977, 0.0025327510217745862, 0.3401376776950988, 0.06524318411892809, 0.12049227859156295, 0.09644829653946028, 0.2730046315193396, 0.060810125182772914, 0.13797178267299928, -0.1834000180179656, 0.0821102198616073, -0.04485799588665769] |
709.3294 | General Conditions for Lepton Flavour Violation at Tree- and 1-Loop
Level | In this work, we compile the necessary and sufficient conditions a theory has
to fulfill in order to ensure general lepton flavour conservation, in the
spirit of the Glashow-Weinberg criteria for the absence of flavour-changing
neutral currents. At tree-level, interactions involving electrically neutral
and doubly charged bosons are investigated. We also investigate flavour changes
at 1-loop level. In all cases we find that the essential theoretical
requirements can be reduced to a few basic conditions on the particle content
and the coupling matrices. For 1-loop diagrams, we also investigate how exactly
a GIM-suppression can occur that will strongly reduce the rates of lepton
flavour violating effects even if they are in principle present in a certain
theory. In all chapters, we apply our criteria to several models which can in
general induce lepton flavour violation, e.g. LR-symmetric models or the MSSM.
In the end we give a summarizing table of the obtained results, thereby
demonstrating the applicability of our criteria to a large class of models
beyond the Standard Model.
| hep-ph | in this work we compile the necessary and sufficient conditions a theory has to fulfill in order to ensure general lepton flavour conservation in the spirit of the glashowweinberg criteria for the absence of flavourchanging neutral currents at treelevel interactions involving electrically neutral and doubly charged bosons are investigated we also investigate flavour changes at 1loop level in all cases we find that the essential theoretical requirements can be reduced to a few basic conditions on the particle content and the coupling matrices for 1loop diagrams we also investigate how exactly a gimsuppression can occur that will strongly reduce the rates of lepton flavour violating effects even if they are in principle present in a certain theory in all chapters we apply our criteria to several models which can in general induce lepton flavour violation eg lrsymmetric models or the mssm in the end we give a summarizing table of the obtained results thereby demonstrating the applicability of our criteria to a large class of models beyond the standard model | [['in', 'this', 'work', 'we', 'compile', 'the', 'necessary', 'and', 'sufficient', 'conditions', 'a', 'theory', 'has', 'to', 'fulfill', 'in', 'order', 'to', 'ensure', 'general', 'lepton', 'flavour', 'conservation', 'in', 'the', 'spirit', 'of', 'the', 'glashowweinberg', 'criteria', 'for', 'the', 'absence', 'of', 'flavourchanging', 'neutral', 'currents', 'at', 'treelevel', 'interactions', 'involving', 'electrically', 'neutral', 'and', 'doubly', 'charged', 'bosons', 'are', 'investigated', 'we', 'also', 'investigate', 'flavour', 'changes', 'at', '1loop', 'level', 'in', 'all', 'cases', 'we', 'find', 'that', 'the', 'essential', 'theoretical', 'requirements', 'can', 'be', 'reduced', 'to', 'a', 'few', 'basic', 'conditions', 'on', 'the', 'particle', 'content', 'and', 'the', 'coupling', 'matrices', 'for', '1loop', 'diagrams', 'we', 'also', 'investigate', 'how', 'exactly', 'a', 'gimsuppression', 'can', 'occur', 'that', 'will', 'strongly', 'reduce', 'the', 'rates', 'of', 'lepton', 'flavour', 'violating', 'effects', 'even', 'if', 'they', 'are', 'in', 'principle', 'present', 'in', 'a', 'certain', 'theory', 'in', 'all', 'chapters', 'we', 'apply', 'our', 'criteria', 'to', 'several', 'models', 'which', 'can', 'in', 'general', 'induce', 'lepton', 'flavour', 'violation', 'eg', 'lrsymmetric', 'models', 'or', 'the', 'mssm', 'in', 'the', 'end', 'we', 'give', 'a', 'summarizing', 'table', 'of', 'the', 'obtained', 'results', 'thereby', 'demonstrating', 'the', 'applicability', 'of', 'our', 'criteria', 'to', 'a', 'large', 'class', 'of', 'models', 'beyond', 'the', 'standard', 'model']] | [-0.09322053700036902, 0.1902355137641453, -0.01449256494171485, 0.151641445219866, -0.036997940384372624, -0.14594054164453632, 0.07286161987438045, 0.32158580486707034, -0.203858579109822, -0.2934000540380588, 0.07575904372649911, -0.25364389810212223, -0.10203409360006585, 0.1307968687095646, -0.025537102594084683, 0.0422592713002814, 0.03811899489457054, -0.002409670874753612, -0.1043232835037911, -0.2713749184456122, 0.29944371439272627, 0.019449257258591906, 0.2390188120992943, 0.12440990228649407, 0.036939306023885454, -0.0212433347450791, -0.03815416334795633, 0.015206368165471369, -0.1327556588752313, 0.08195125769760211, 0.22613146127538303, 0.12274216365213284, 0.1691965133428485, -0.44934115189659807, -0.1550474919599115, 0.1547149453240092, 0.12720425988135547, 0.17865880332326578, -0.0599410510024297, -0.2632995527972179, 0.12984492825177898, -0.17944484204885416, -0.14390656297438822, -0.12229808555483553, -0.04479906308032306, -0.017359033642735864, -0.3230496963397378, 0.06283560029641237, 0.035460740682624635, 0.011622728002423952, -0.011830324966770908, -0.10610630972604711, -0.027417340895183207, 0.10619415506482169, 0.0980098274265488, -0.05188335553196209, 0.11286162996077023, -0.19228203053214765, -0.1498525472305205, 0.43114187331714976, -0.07034469390401639, -0.23583079330689674, 0.19846951943223498, -0.17950057232588906, -0.21295451184379913, 0.0676642170458633, 0.2076012553464222, 0.09541402281389483, -0.19005653246061965, 0.14264632164468777, -0.05238166552624621, 0.1210376756138257, 0.05031381414959296, 0.059248022746898985, 0.21951961190123775, 0.1282982002677662, 0.058683548113636096, 0.10654421941130533, -0.03000716373207979, -0.0689739860092578, -0.4133524506386103, -0.13534539014272878, -0.05902444487132709, 0.04800984864059068, -0.045594656160617544, -0.11017615384272565, 0.4372005628954087, 0.18670295784249902, 0.19297912591424565, 0.0445789453439093, 0.2598712351782957, 0.10577976132065357, 0.08088133158173064, 0.030319920510962783, 0.26891225280650405, 0.12088516329060353, 0.10934100155663189, -0.20591162890750206, 0.03570387747632118, 0.08899208132754124] |
709.3295 | Synthesis models in the VO framework | The theory interest group in the International Virtual Observatory Alliance
(IVOA) has the goal of ensuring that theoretical data and services are taken
into account in the IVOA standards process. In this poster we present some of
the efforts carried out by this group to include evolutionary synthesis models
in the VO framework. In particular we present the VO tool PGos3, developed by
the INAOE (Mexico) and the Spanish Virtual Observatory which includes most of
public SSP models in the VO framework (e.g. VOSpec). We also describe the
problems related with the inclusion of synthesis models in the VO framework and
we try to encourage people to define the way in which synthesis models should
be described. This issue has implications not only for the inclusion of
synthesis models in the the VO framework but also for a proper usage of
synthesis models.
| astro-ph | the theory interest group in the international virtual observatory alliance ivoa has the goal of ensuring that theoretical data and services are taken into account in the ivoa standards process in this poster we present some of the efforts carried out by this group to include evolutionary synthesis models in the vo framework in particular we present the vo tool pgos3 developed by the inaoe mexico and the spanish virtual observatory which includes most of public ssp models in the vo framework eg vospec we also describe the problems related with the inclusion of synthesis models in the vo framework and we try to encourage people to define the way in which synthesis models should be described this issue has implications not only for the inclusion of synthesis models in the the vo framework but also for a proper usage of synthesis models | [['the', 'theory', 'interest', 'group', 'in', 'the', 'international', 'virtual', 'observatory', 'alliance', 'ivoa', 'has', 'the', 'goal', 'of', 'ensuring', 'that', 'theoretical', 'data', 'and', 'services', 'are', 'taken', 'into', 'account', 'in', 'the', 'ivoa', 'standards', 'process', 'in', 'this', 'poster', 'we', 'present', 'some', 'of', 'the', 'efforts', 'carried', 'out', 'by', 'this', 'group', 'to', 'include', 'evolutionary', 'synthesis', 'models', 'in', 'the', 'vo', 'framework', 'in', 'particular', 'we', 'present', 'the', 'vo', 'tool', 'pgos3', 'developed', 'by', 'the', 'inaoe', 'mexico', 'and', 'the', 'spanish', 'virtual', 'observatory', 'which', 'includes', 'most', 'of', 'public', 'ssp', 'models', 'in', 'the', 'vo', 'framework', 'eg', 'vospec', 'we', 'also', 'describe', 'the', 'problems', 'related', 'with', 'the', 'inclusion', 'of', 'synthesis', 'models', 'in', 'the', 'vo', 'framework', 'and', 'we', 'try', 'to', 'encourage', 'people', 'to', 'define', 'the', 'way', 'in', 'which', 'synthesis', 'models', 'should', 'be', 'described', 'this', 'issue', 'has', 'implications', 'not', 'only', 'for', 'the', 'inclusion', 'of', 'synthesis', 'models', 'in', 'the', 'the', 'vo', 'framework', 'but', 'also', 'for', 'a', 'proper', 'usage', 'of', 'synthesis', 'models']] | [-0.051811529728022554, 0.04667810395571357, -0.08762604982347776, 0.07582616314243912, -0.06749807393297236, -0.09222813228356606, 0.07005111380820393, 0.41884306886940137, -0.25705325023307474, -0.33998897130079303, 0.1127410683184796, -0.2371691992367677, -0.1451683892597649, 0.17763862900389688, -0.08010903576798473, 0.01327454422498188, 0.08561708492141032, -0.03900802705489786, 0.021453742816357327, -0.2347491003691833, 0.30574679479055794, 0.07727698090070105, 0.28274284990121284, 0.057856735053425985, 0.033870231024161354, -0.005982301652048391, -0.10829681536044053, -0.017970365452322553, -0.10595835730333768, 0.19476202132299225, 0.3429675312610719, 0.21299466922060184, 0.28572582397211577, -0.4312250184833158, -0.20921480202558615, 0.04699835423644341, 0.1095948819287166, 0.09158330593845998, -0.08293702097358645, -0.30480076083979496, 0.06433599364633362, -0.23942784894363467, -0.13297131672131676, -0.043385198280373787, -0.0176563238318851, -0.0016741567284714247, -0.20226410604313227, -0.08110981393342917, 0.00648307710958658, 0.0783661476679886, -0.12181349205355166, -0.11989000155375808, -0.029667113640127665, 0.22244796832917746, 0.020021672783120607, -0.006441204601003795, 0.0464170259970128, -0.1388859963771088, -0.11504670317575388, 0.4520777069719125, -0.09951214274351901, -0.14061128229632683, 0.17533480702463458, -0.09476567037958414, -0.24694547332255234, 0.03714665975289565, 0.20513056791288423, 0.09612479925003722, -0.21489359254394377, 0.1455647611106826, -0.01285229833360682, 0.1651261490340351, -0.04018469155990644, -0.0015858134770012917, 0.2039341242911281, 0.21004882074251824, 0.014834002089680087, 0.0889908730883006, -0.05497377645224333, -0.09163924010721504, -0.2892509061605372, -0.1668540993259546, -0.0570484400868865, -0.05097671985906526, 0.002239461694592247, -0.1402065595876135, 0.4111778311801295, 0.2286507355392719, 0.1003150912001729, 0.004668216450562608, 0.29863182677068345, 0.05755429525351059, 0.11589727131980108, 0.06374803749870853, 0.2159041811372335, 0.03506083072143349, 0.1515408963566078, -0.16607655735739263, 0.11462057078693141, 0.061046413945179456] |
709.3296 | M-Theory Through the Looking Glass: Tachyon Condensation in the E_8
Heterotic String | We study the spacetime decay to nothing in string theory and M-theory. First
we recall a nonsupersymmetric version of heterotic M-theory, in which bubbles
of nothing -- connecting the two E_8 boundaries by a throat -- are expected to
be nucleated. We argue that the fate of this system should be addressed at weak
string coupling, where the nonperturbative instanton instability is expected to
turn into a perturbative tachyonic one. We identify the unique string theory
that could describe this process: The heterotic model with one E_8 gauge group
and a singlet tachyon. We then use worldsheet methods to study the tachyon
condensation in the NSR formulation of this model, and show that it induces a
worldsheet super-Higgs effect. The main theme of our analysis is the
possibility of making meaningful alternative gauge choices for worldsheet
supersymmetry, in place of the conventional superconformal gauge. We show in a
version of unitary gauge how the worldsheet gravitino assimilates the goldstino
and becomes dynamical. This picture clarifies recent results of Hellerman and
Swanson. We also present analogs of R_\xi gauges, and note the importance of
logarithmic CFT in the context of tachyon condensation.
| hep-th | we study the spacetime decay to nothing in string theory and mtheory first we recall a nonsupersymmetric version of heterotic mtheory in which bubbles of nothing connecting the two e_8 boundaries by a throat are expected to be nucleated we argue that the fate of this system should be addressed at weak string coupling where the nonperturbative instanton instability is expected to turn into a perturbative tachyonic one we identify the unique string theory that could describe this process the heterotic model with one e_8 gauge group and a singlet tachyon we then use worldsheet methods to study the tachyon condensation in the nsr formulation of this model and show that it induces a worldsheet superhiggs effect the main theme of our analysis is the possibility of making meaningful alternative gauge choices for worldsheet supersymmetry in place of the conventional superconformal gauge we show in a version of unitary gauge how the worldsheet gravitino assimilates the goldstino and becomes dynamical this picture clarifies recent results of hellerman and swanson we also present analogs of r_xi gauges and note the importance of logarithmic cft in the context of tachyon condensation | [['we', 'study', 'the', 'spacetime', 'decay', 'to', 'nothing', 'in', 'string', 'theory', 'and', 'mtheory', 'first', 'we', 'recall', 'a', 'nonsupersymmetric', 'version', 'of', 'heterotic', 'mtheory', 'in', 'which', 'bubbles', 'of', 'nothing', 'connecting', 'the', 'two', 'e_8', 'boundaries', 'by', 'a', 'throat', 'are', 'expected', 'to', 'be', 'nucleated', 'we', 'argue', 'that', 'the', 'fate', 'of', 'this', 'system', 'should', 'be', 'addressed', 'at', 'weak', 'string', 'coupling', 'where', 'the', 'nonperturbative', 'instanton', 'instability', 'is', 'expected', 'to', 'turn', 'into', 'a', 'perturbative', 'tachyonic', 'one', 'we', 'identify', 'the', 'unique', 'string', 'theory', 'that', 'could', 'describe', 'this', 'process', 'the', 'heterotic', 'model', 'with', 'one', 'e_8', 'gauge', 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709.3297 | Master equation approach to computing RVB bond amplitudes | We describe a "master equation" analysis for the bond amplitudes h(r) of an
RVB wavefunction. Starting from any initial guess, h(r) evolves (in a manner
dictated by the spin hamiltonian under consideration) toward a steady-state
distribution representing an approximation to the true ground state. Unknown
transition coefficients in the master equation are treated as variational
parameters. We illustrate the method by applying it to the J1-J2
antiferromagnetic Heisenberg model. Without frustration (J2=0), the amplitudes
are radially symmetric and fall off as 1/r^3 in the bond length. As the
frustration increases, there are precursor signs of columnar or plaquette VBS
order: the bonds preferentially align along the axes of the square lattice and
weight accrues in the nearest-neighbour bond amplitudes. The Marshall sign rule
holds over a large range of couplings, J2/J1 < 0.418. It fails when the r=(2,1)
bond amplitude first goes negative, a point also marked by a cusp in the ground
state energy. A nonrigourous extrapolation of the staggered magnetic moment
(through this point of nonanalyticity) shows it vanishing continuously at a
critical value J2/J1 = 0.447. This may be preempted by a first-order transition
to a state of broken translational symmetry.
| cond-mat.str-el | we describe a master equation analysis for the bond amplitudes hr of an rvb wavefunction starting from any initial guess hr evolves in a manner dictated by the spin hamiltonian under consideration toward a steadystate distribution representing an approximation to the true ground state unknown transition coefficients in the master equation are treated as variational parameters we illustrate the method by applying it to the j1j2 antiferromagnetic heisenberg model without frustration j20 the amplitudes are radially symmetric and fall off as 1r3 in the bond length as the frustration increases there are precursor signs of columnar or plaquette vbs order the bonds preferentially align along the axes of the square lattice and weight accrues in the nearestneighbour bond amplitudes the marshall sign rule holds over a large range of couplings j2j1 0418 it fails when the r21 bond amplitude first goes negative a point also marked by a cusp in the ground state energy a nonrigourous extrapolation of the staggered magnetic moment through this point of nonanalyticity shows it vanishing continuously at a critical value j2j1 0447 this may be preempted by a firstorder transition to a state of broken translational symmetry | [['we', 'describe', 'a', 'master', 'equation', 'analysis', 'for', 'the', 'bond', 'amplitudes', 'hr', 'of', 'an', 'rvb', 'wavefunction', 'starting', 'from', 'any', 'initial', 'guess', 'hr', 'evolves', 'in', 'a', 'manner', 'dictated', 'by', 'the', 'spin', 'hamiltonian', 'under', 'consideration', 'toward', 'a', 'steadystate', 'distribution', 'representing', 'an', 'approximation', 'to', 'the', 'true', 'ground', 'state', 'unknown', 'transition', 'coefficients', 'in', 'the', 'master', 'equation', 'are', 'treated', 'as', 'variational', 'parameters', 'we', 'illustrate', 'the', 'method', 'by', 'applying', 'it', 'to', 'the', 'j1j2', 'antiferromagnetic', 'heisenberg', 'model', 'without', 'frustration', 'j20', 'the', 'amplitudes', 'are', 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709.3298 | Calculation of DOS-Dependent Channel Potentials in FETs in the
Saturation Condition | We calculated functions for the potential, Vch, in the channel of a field
effect transistor with various densities of the localized states (DOS) by using
a device simulator. In the saturation condition, Vch is found to fit
satisfactorily to the analytical function, Vch(y)=Vg(1-(1-y/L) k), where Vg is
the gate bias, y is the position along the channel, and L is the channel
length. The power k, which depends on the DOS, ranges from 0 to 0.5 even with
an extensive variation of DOS. As a result, the total induced charge density in
the saturation condition can be expressed a way similar to the linear condition
by introducing a correction factor, alpha, ranging between 0.65 and 1.0.
| cond-mat.mtrl-sci | we calculated functions for the potential vch in the channel of a field effect transistor with various densities of the localized states dos by using a device simulator in the saturation condition vch is found to fit satisfactorily to the analytical function vchyvg11yl k where vg is the gate bias y is the position along the channel and l is the channel length the power k which depends on the dos ranges from 0 to 05 even with an extensive variation of dos as a result the total induced charge density in the saturation condition can be expressed a way similar to the linear condition by introducing a correction factor alpha ranging between 065 and 10 | [['we', 'calculated', 'functions', 'for', 'the', 'potential', 'vch', 'in', 'the', 'channel', 'of', 'a', 'field', 'effect', 'transistor', 'with', 'various', 'densities', 'of', 'the', 'localized', 'states', 'dos', 'by', 'using', 'a', 'device', 'simulator', 'in', 'the', 'saturation', 'condition', 'vch', 'is', 'found', 'to', 'fit', 'satisfactorily', 'to', 'the', 'analytical', 'function', 'vchyvg11yl', 'k', 'where', 'vg', 'is', 'the', 'gate', 'bias', 'y', 'is', 'the', 'position', 'along', 'the', 'channel', 'and', 'l', 'is', 'the', 'channel', 'length', 'the', 'power', 'k', 'which', 'depends', 'on', 'the', 'dos', 'ranges', 'from', '0', 'to', '05', 'even', 'with', 'an', 'extensive', 'variation', 'of', 'dos', 'as', 'a', 'result', 'the', 'total', 'induced', 'charge', 'density', 'in', 'the', 'saturation', 'condition', 'can', 'be', 'expressed', 'a', 'way', 'similar', 'to', 'the', 'linear', 'condition', 'by', 'introducing', 'a', 'correction', 'factor', 'alpha', 'ranging', 'between', '065', 'and', '10']] | [-0.17311263314812728, 0.13230363300553227, -0.08586076704339812, 0.019551516376921665, 0.007995548925322036, -0.15302615986894005, 0.0715505462018368, 0.33314341948489135, -0.2715457764575663, -0.35929946224002735, 0.037659991076013644, -0.2793995266375334, -0.08330302185014538, 0.16115730876993875, -0.010258582768880803, 0.03632651027292013, -0.025527160161215326, 0.040768343644500105, -0.08347694265008297, -0.1893702234303498, 0.29571371206446834, 0.06905031735482423, 0.284658229674982, 0.10316250533417232, 0.06849418640460657, 0.011626201046063848, 0.05375075754912003, 0.04218628736941711, -0.1499745796110643, 0.024967246083036552, 0.21670192857475384, 0.03846868239748089, 0.2328136140278176, -0.36937523067159495, -0.20073117220814785, 0.051775126693689305, 0.09545873614311542, 0.08420383591589559, -0.006386953722888037, -0.25594506424082364, 0.12801307800995268, -0.17072206769624482, -0.13371822776110923, 0.009969499103886925, 0.04282305857834771, 0.03352143814706284, -0.32266054219039886, 0.10163203239764856, 0.02437689313057648, 0.04206454054978879, -0.0506871956360081, -0.1604656440448826, -0.05027722901482459, 0.1028980069834253, 0.0070385892531308145, 0.09726558088365456, 0.16483821704902726, -0.13561874835994905, -0.04329120715189239, 0.31686401829609406, -0.11587826748095129, -0.18696643359194834, 0.10731439304325487, -0.16378080424974145, -0.026487903007427635, 0.1431282453643887, 0.11909126797690987, 0.09823430025059243, -0.12803102198978075, 0.09942800168089731, -0.009622481273001303, 0.19134515782048844, 0.05769068727917645, 0.03733217509149614, 0.15681856328054614, 0.1152064951936431, 0.08024033384154672, 0.1330141606123146, -0.13783257246300903, -0.04245973289336847, -0.3111745879378008, -0.10945139622882656, -0.19070131389586173, 0.0753817823998954, -0.08344646873656134, -0.13169286989647408, 0.39959570832712493, 0.09453043341231734, 0.25122477910683855, 0.02858089878446544, 0.2848516073644809, 0.19721456387019515, 0.07912563032106212, 0.06859583010816056, 0.1777579671845002, 0.15877984127576422, 0.06836967522116459, -0.2395210321324513, 0.0831644648645559, -0.019469919486943148] |
709.3299 | Multifield DBI Inflation and Non-Gaussianities | We analyze the trajectories for multifield DBI inflation, which can arise in
brane inflation models, and show that the trajectories are the same as in
typical slow roll inflation. We calculate the power spectrum and find that the
higher derivative terms of the DBI action lead to a suppression of the
contribution from the isocurvature perturbations. We also calculate the
bispectrum generated by the isocurvature perturbation, and find that it leads
to distinctive features.
| hep-th astro-ph gr-qc hep-ph | we analyze the trajectories for multifield dbi inflation which can arise in brane inflation models and show that the trajectories are the same as in typical slow roll inflation we calculate the power spectrum and find that the higher derivative terms of the dbi action lead to a suppression of the contribution from the isocurvature perturbations we also calculate the bispectrum generated by the isocurvature perturbation and find that it leads to distinctive features | [['we', 'analyze', 'the', 'trajectories', 'for', 'multifield', 'dbi', 'inflation', 'which', 'can', 'arise', 'in', 'brane', 'inflation', 'models', 'and', 'show', 'that', 'the', 'trajectories', 'are', 'the', 'same', 'as', 'in', 'typical', 'slow', 'roll', 'inflation', 'we', 'calculate', 'the', 'power', 'spectrum', 'and', 'find', 'that', 'the', 'higher', 'derivative', 'terms', 'of', 'the', 'dbi', 'action', 'lead', 'to', 'a', 'suppression', 'of', 'the', 'contribution', 'from', 'the', 'isocurvature', 'perturbations', 'we', 'also', 'calculate', 'the', 'bispectrum', 'generated', 'by', 'the', 'isocurvature', 'perturbation', 'and', 'find', 'that', 'it', 'leads', 'to', 'distinctive', 'features']] | [-0.15053629862597664, 0.18286147868462108, -0.1481292996023832, 0.14948930675667282, -0.057247058085694504, -0.10008520767017193, -0.0856057511928894, 0.2674714211072471, -0.24935245695146355, -0.277046847119424, 0.05659506485539463, -0.26285498031742266, -0.20710229964272395, 0.15727517153513995, -0.06201322966985203, -0.020257910644333507, 0.04590957416095645, 0.031962826319441605, -0.01153071433293155, -0.2504055628024444, 0.32169391300428557, 0.07153568761045667, 0.24401633761118394, -0.011106819625490823, 0.053103311805406936, -0.11307422700338066, 0.004176412092370761, -0.01511313850563523, -0.14179077809761087, 0.08437460169473009, 0.14676882358976032, 0.11953337671788963, 0.17671855969505534, -0.4391807117876974, -0.26269546217864026, 0.17024062453089533, 0.13925946363549982, 0.19107779518644502, -0.006863656856522367, -0.24775677730606213, 0.08649636289054477, -0.1983619881227512, -0.07726405082094306, -0.16888849915168877, -0.022753221284900163, -0.04790888447314501, -0.3033745784148876, 0.12326000831868637, -0.00234282758036578, -0.05003098671551089, -0.04039284582501529, -0.023010081013765286, -0.09619992489397929, 0.04534882220213075, 0.1837775714796137, -0.015674292223175634, 0.17042820337480186, -0.1937909083931732, -0.07253899476868478, 0.4366767735195321, -0.23929571299939542, -0.12913472580446586, 0.08309430221875978, -0.16292380310620205, -0.14183472193827903, 0.07898534067742337, 0.15246898748886747, 0.10310150377414617, -0.07387712805506748, 0.1274152006301085, 0.10614084831212421, 0.13589308605957273, 0.12413993688627474, 0.05149846187339643, 0.27990235232848776, 0.03328541239937516, 0.08090260348005875, 0.1787582236165936, -0.07130540074226824, -0.12431208937856797, -0.395264536935232, -0.03978372393081569, -0.11502195513379332, 0.04220323881285416, -0.1559980026113162, -0.20427176780444947, 0.48590215451612667, 0.19818164566154214, 0.24882751820936194, 0.10436496700040644, 0.2819210566026536, 0.17333506850440786, 0.04830839343343836, 0.06946875075369167, 0.3315424960786225, 0.04943827146072746, 0.11228808091097586, -0.2737107699378268, -0.060894331341055596, 0.008745574002229684] |
709.33 | Cosmological Cosmic Rays: Sharpening the Primordial Lithium Problem | Cosmic structure formation leads to large-scale shocked baryonic flows which
are expected to produce a cosmological population of structure-formation cosmic
rays (SFCRs). Interactions between SFCRs and ambient baryons will produce
lithium isotopes via \alpha+\alpha \to ^{6,7}Li. This pre-Galactic (but
non-primordial) lithium should contribute to the primordial 7Li measured in
halo stars and must be subtracted in order to arrive to the true observed
primordial lithium abundance. In this paper we point out that the recent halo
star 6Li measurements can be used to place a strong constraint to the level of
such contamination, because the exclusive astrophysical production of 6Li is
from cosmic-ray interactions. We find that the putative 6Li plateau, if due to
pre-Galactic cosmic-ray interactions, implies that SFCR-produced lithium
represents Li_{SFCR}/Li_{plateau}\approx 15% of the observed elemental Li
plateau. Taking the remaining plateau Li to be cosmological 7Li, we find a
revised (and slightly worsened) discrepancy between the Li observations and Big
Bang Nucleosynthesis predictions by a factor of ^7Li_{BBN}/^7Li_{plateau}
\approx 3.7. Moreover, SFCRs would also contribute to the extragalactic
gamma-ray background (EGRB) through neutral pion production. This gamma-ray
production is tightly related to the amount of lithium produced by the same
cosmic rays; the 6Li plateau limits the pre-Galactic (high-redshift) SFCR
contribution to be at the level of I_{\pi_{\gamma}SFCR}/I_{EGRB} < 5% of the
currently observed EGRB.
| astro-ph | cosmic structure formation leads to largescale shocked baryonic flows which are expected to produce a cosmological population of structureformation cosmic rays sfcrs interactions between sfcrs and ambient baryons will produce lithium isotopes via alphaalpha to 67li this pregalactic but nonprimordial lithium should contribute to the primordial 7li measured in halo stars and must be subtracted in order to arrive to the true observed primordial lithium abundance in this paper we point out that the recent halo star 6li measurements can be used to place a strong constraint to the level of such contamination because the exclusive astrophysical production of 6li is from cosmicray interactions we find that the putative 6li plateau if due to pregalactic cosmicray interactions implies that sfcrproduced lithium represents li_sfcrli_plateauapprox 15 of the observed elemental li plateau taking the remaining plateau li to be cosmological 7li we find a revised and slightly worsened discrepancy between the li observations and big bang nucleosynthesis predictions by a factor of 7li_bbn7li_plateau approx 37 moreover sfcrs would also contribute to the extragalactic gammaray background egrb through neutral pion production this gammaray production is tightly related to the amount of lithium produced by the same cosmic rays the 6li plateau limits the pregalactic highredshift sfcr contribution to be at the level of i_pi_gammasfcri_egrb 5 of the currently observed egrb | [['cosmic', 'structure', 'formation', 'leads', 'to', 'largescale', 'shocked', 'baryonic', 'flows', 'which', 'are', 'expected', 'to', 'produce', 'a', 'cosmological', 'population', 'of', 'structureformation', 'cosmic', 'rays', 'sfcrs', 'interactions', 'between', 'sfcrs', 'and', 'ambient', 'baryons', 'will', 'produce', 'lithium', 'isotopes', 'via', 'alphaalpha', 'to', '67li', 'this', 'pregalactic', 'but', 'nonprimordial', 'lithium', 'should', 'contribute', 'to', 'the', 'primordial', '7li', 'measured', 'in', 'halo', 'stars', 'and', 'must', 'be', 'subtracted', 'in', 'order', 'to', 'arrive', 'to', 'the', 'true', 'observed', 'primordial', 'lithium', 'abundance', 'in', 'this', 'paper', 'we', 'point', 'out', 'that', 'the', 'recent', 'halo', 'star', '6li', 'measurements', 'can', 'be', 'used', 'to', 'place', 'a', 'strong', 'constraint', 'to', 'the', 'level', 'of', 'such', 'contamination', 'because', 'the', 'exclusive', 'astrophysical', 'production', 'of', '6li', 'is', 'from', 'cosmicray', 'interactions', 'we', 'find', 'that', 'the', 'putative', '6li', 'plateau', 'if', 'due', 'to', 'pregalactic', 'cosmicray', 'interactions', 'implies', 'that', 'sfcrproduced', 'lithium', 'represents', 'li_sfcrli_plateauapprox', '15', 'of', 'the', 'observed', 'elemental', 'li', 'plateau', 'taking', 'the', 'remaining', 'plateau', 'li', 'to', 'be', 'cosmological', '7li', 'we', 'find', 'a', 'revised', 'and', 'slightly', 'worsened', 'discrepancy', 'between', 'the', 'li', 'observations', 'and', 'big', 'bang', 'nucleosynthesis', 'predictions', 'by', 'a', 'factor', 'of', '7li_bbn7li_plateau', 'approx', '37', 'moreover', 'sfcrs', 'would', 'also', 'contribute', 'to', 'the', 'extragalactic', 'gammaray', 'background', 'egrb', 'through', 'neutral', 'pion', 'production', 'this', 'gammaray', 'production', 'is', 'tightly', 'related', 'to', 'the', 'amount', 'of', 'lithium', 'produced', 'by', 'the', 'same', 'cosmic', 'rays', 'the', '6li', 'plateau', 'limits', 'the', 'pregalactic', 'highredshift', 'sfcr', 'contribution', 'to', 'be', 'at', 'the', 'level', 'of', 'i_pi_gammasfcri_egrb', '5', 'of', 'the', 'currently', 'observed', 'egrb']] | [-0.040310244886468186, 0.2308040616972337, -0.05762367558479968, 0.14821136263715332, -0.05825880230766862, -0.06256119374906258, 0.05701229200623754, 0.3345868049830831, -0.22525047836166298, -0.36612479759485655, -0.05692117880889267, -0.3253416946464776, 0.052604869005867756, 0.15225736340969134, 0.011415351878517782, -0.03704757881290411, 0.07393860239519097, 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709.3301 | Monochromatic Neutrino Signals from Dark Matter Annihilation | Dark matter annihilations in the Sun to neutrino-antineutrino pairs have
striking signatures in neutrino detectors such as IceCube and KM3. We make a
model independent study of the signals after propagation of the neutrinos from
the center of the Sun to the Earth. A large spin-dependent DM capture cross
section in the Sun make the discovery prospects robust.
| astro-ph hep-ph | dark matter annihilations in the sun to neutrinoantineutrino pairs have striking signatures in neutrino detectors such as icecube and km3 we make a model independent study of the signals after propagation of the neutrinos from the center of the sun to the earth a large spindependent dm capture cross section in the sun make the discovery prospects robust | [['dark', 'matter', 'annihilations', 'in', 'the', 'sun', 'to', 'neutrinoantineutrino', 'pairs', 'have', 'striking', 'signatures', 'in', 'neutrino', 'detectors', 'such', 'as', 'icecube', 'and', 'km3', 'we', 'make', 'a', 'model', 'independent', 'study', 'of', 'the', 'signals', 'after', 'propagation', 'of', 'the', 'neutrinos', 'from', 'the', 'center', 'of', 'the', 'sun', 'to', 'the', 'earth', 'a', 'large', 'spindependent', 'dm', 'capture', 'cross', 'section', 'in', 'the', 'sun', 'make', 'the', 'discovery', 'prospects', 'robust']] | [-0.08374115717115588, 0.2182786980290608, -0.06475327367636431, 0.2054692398564055, -0.06501131357047064, -0.03616875228632627, 0.02260479424148798, 0.30953059871058813, -0.2223261659001482, -0.3596357587596466, -0.009435554185545007, -0.34566663552460997, -0.06714484278626483, 0.17901155540362354, 0.056181856278522777, 0.015894643047117983, 0.10085441762228207, 0.05938331596553326, -0.08100281281653664, -0.2253198711008861, 0.22892897360926046, 0.12742011666554828, 0.20793821954907016, 0.07185364766688697, 0.07419892307370901, 0.00490085585925985, -0.09469693599686284, -0.13584234642571416, -0.07691862920684547, 0.06217552299193781, 0.22388888967769413, 0.12466364575172112, 0.06485167444796013, -0.4601960011340421, -0.2086726369432591, 0.20578081844824142, 0.10784843414700751, 0.10281496411510582, -0.11191656870831704, -0.4111563371301725, 0.06352125878188887, -0.23678014305388106, -0.12425379638142627, 0.06451664943697638, 0.03061010645188648, -0.025631929270056045, -0.2089095178786826, 0.05692935034889599, -0.02675443870047557, -0.04533303501726738, -0.029499344062060118, -0.1257526134461935, 0.0007477553625558985, 0.03971973267094842, 0.1595091468730845, -0.04545484521378089, 0.19191989186621303, -0.2100200386846374, -0.11719521413685689, 0.42705325620120455, -0.12330907925658313, -0.0812473419796804, 0.17426405924147573, -0.20102753067250637, -0.1340849018326543, 0.1656427019564756, 0.23729998379712924, 0.07335722521308745, -0.18140870583211555, 0.09162003925804788, -0.0784851486537734, 0.1079650583741223, 0.04958929730065424, 0.035544562025059914, 0.3733515172458157, 0.24520187632277093, 0.14073614652894822, -0.022321475575405078, -0.23968382571534863, 0.013060170514830228, -0.33732237973840556, -0.15624173132076474, -0.0964833561347091, 0.04103977281744752, -0.023484467183277895, -0.0946516353347949, 0.4048967306213132, 0.1979176341796872, 0.26152466052886225, -0.07623293507715752, 0.30559413905801447, 0.0018351743909016509, 0.06199069769956685, 0.0197607764918036, 0.39149524652045864, 0.173802197445184, 0.11428623779773198, -0.19308437445955673, -0.009127776323143265, 0.030923219710781144] |
709.3302 | Coherent states in quantum cosmology | In the realm of a quantum cosmological model for dark energy in which we have
been able to construct a well-defined Hilbert space, a consistent coherent
state representation has been formulated that may describe the quantum state of
the universe and has a well-behaved semiclassical limit.
| gr-qc | in the realm of a quantum cosmological model for dark energy in which we have been able to construct a welldefined hilbert space a consistent coherent state representation has been formulated that may describe the quantum state of the universe and has a wellbehaved semiclassical limit | [['in', 'the', 'realm', 'of', 'a', 'quantum', 'cosmological', 'model', 'for', 'dark', 'energy', 'in', 'which', 'we', 'have', 'been', 'able', 'to', 'construct', 'a', 'welldefined', 'hilbert', 'space', 'a', 'consistent', 'coherent', 'state', 'representation', 'has', 'been', 'formulated', 'that', 'may', 'describe', 'the', 'quantum', 'state', 'of', 'the', 'universe', 'and', 'has', 'a', 'wellbehaved', 'semiclassical', 'limit']] | [-0.09964667706061965, 0.13193172534279848, -0.2050886179988637, 0.1158888926324637, -0.05967274417533823, -0.09499556619835936, -0.01951253188409559, 0.34470194298774004, -0.20979633077007273, -0.2274614253445812, 0.06167861835970341, -0.19955764253340338, -0.06753399347602997, 0.1807352042827836, -0.05361479640249973, 0.09513435369033528, 0.031082374112093417, 0.10313392594537657, -0.048906183533330004, -0.2048054768136986, 0.3330780927537252, 0.043076876080190035, 0.26837065305722796, -0.0037031025301827035, 0.19563223615936612, -0.05445825230107521, 0.0483683371592475, 0.05975780722054997, -0.15524834030609624, 0.09335337099416749, 0.2936426347081104, 0.09391553559259552, 0.2866593166507538, -0.43518377257430035, -0.31571566310215177, 0.16199891072819414, 0.17815460469232083, 0.18800398319423117, -0.04593255178516974, -0.3089237038410552, 0.06037425145547351, -0.23124592154003357, -0.11181331553455928, -0.14882874140596908, 0.018256073230472597, -0.09966051323420327, -0.1937413948547581, 0.03683484054130057, 0.013826210294728693, -0.060767142365322165, -0.08414922592878017, -0.03728651524642888, 0.004792977453452413, 0.10079552456939025, -0.04095556583184668, 0.05329055449186379, 0.06111949360575122, -0.1467529383295661, -0.14390136451338945, 0.39626207235066785, -0.10456249022567847, -0.1696783769065919, 0.1687096552518399, -0.1317059768303095, -0.13804126267432762, 0.10687378067624471, 0.12817472462420879, 0.0892532607641719, -0.1442775974738533, 0.2290167350957231, -0.0877360773637243, 0.15595723814128534, 0.02596015962468379, 0.11009464122395476, 0.27482142408742855, 0.1502266919604786, 0.039327160764040185, 0.10522612508224405, -0.06233109239205394, -0.19484374890832798, -0.3191392865517865, -0.20333994386474724, -0.20038150475137745, 0.10613602881684252, -0.0045794226813165514, -0.18404571379980314, 0.40691359736956656, 0.1078497506551566, 0.19868908621087347, 0.011838797481133319, 0.22314304732920034, 0.15386610308095164, 0.037220506857999644, 0.04782569033863104, 0.29721735691165796, 0.1485913037828615, 0.06906360252152967, -0.1825393016004692, 0.02539232528626757, 0.05073071153753478] |
709.3303 | Colliders and Cosmology | Dark matter in variations of constrained minimal supersymmetric standard
models will be discussed. Particular attention will be given to the comparison
between accelerator and direct detection constraints.
| hep-ph | dark matter in variations of constrained minimal supersymmetric standard models will be discussed particular attention will be given to the comparison between accelerator and direct detection constraints | [['dark', 'matter', 'in', 'variations', 'of', 'constrained', 'minimal', 'supersymmetric', 'standard', 'models', 'will', 'be', 'discussed', 'particular', 'attention', 'will', 'be', 'given', 'to', 'the', 'comparison', 'between', 'accelerator', 'and', 'direct', 'detection', 'constraints']] | [-0.06684996177338892, 0.13838278143494218, -0.03887172358938389, 0.16559821378474157, -0.1654258144122583, -0.19871530226535267, -0.047963631649812065, 0.35637856780171945, -0.2454853079074787, -0.3750219358890145, 0.11786116954991249, -0.24842610910396884, -0.060748305896090135, 0.21283969559051372, -0.08137284783232543, 0.06982111537622081, 0.10126136774542155, 0.02455583939121829, -0.15937649179250002, -0.24927170712638785, 0.21429119562661206, 0.12164135911950359, 0.1984656481762175, 0.09832779042146823, 0.029964262412654027, -0.044275420586388836, -0.09790312422922363, 0.012372013836823128, -0.15466926771181602, 0.16125188441947103, 0.2525117000694553, 0.15971508011635807, 0.13538633825912796, -0.463825991584195, -0.2671512862391494, 0.266971873326434, 0.1277354946359992, 0.06222272026180117, -0.08433281557841434, -0.32239138352236263, 0.07086994878827008, -0.23328882742121262, -0.048349208715889186, -0.024187879947324593, -0.007952181277451691, 0.010727336630225182, -0.24733768479415663, 0.0317361313026157, -0.05335979663801414, -0.055905941804801976, -0.01996832796268993, -0.09728175845790517, -0.033022591913187946, 0.006092969811073056, 0.09514914873849463, -0.005995503126609104, 0.1874223907512647, -0.20736511136163716, -0.1478183057754197, 0.44796243751490555, -0.12153811759694859, -0.2343433859102704, 0.19864509675513814, -0.10032018637974505, -0.192082187919705, 0.05478341429045907, 0.20106250961759575, 0.06599311606475601, -0.16413515437118434, 0.12953855304038842, -0.030346137574977346, 0.17030663786593964, 0.05182170467796149, 0.03541775102968569, 0.35979156106434484, 0.2547953935874695, 0.07303860202362691, 0.05733562242757115, -0.07539000139675206, -0.10487119170526664, -0.3927788817220264, -0.1180217708978388, -0.0941478436536811, -0.05281550806291677, -0.0014040804132862293, -0.043808403683619365, 0.37238325992668114, 0.12966140332045378, 0.15064973674749058, 0.018000877790015052, 0.29567628540098667, 0.10336420416004127, 0.04570332707630263, -0.05259649193397275, 0.3417955286697381, 0.11987390658921665, 0.060742330426971115, -0.17820095615806403, -0.03764455498161691, -0.014638369877098335] |
709.3304 | HST morphologies of local Lyman break galaxy analogs I: Evidence for
starbursts triggered by merging | Heckman et al. (2005) used the Galaxy Evolution Explorer (GALEX) UV imaging
survey to show that there exists a rare population of nearby compact
UV-luminous galaxies (UVLGs) that closely resembles high redshift Lyman break
galaxies (LBGs). We present HST images in the UV, optical, and Ha, and
resimulate them at the depth and resolution of the GOODS/UDF fields to show
that the morphologies of UVLGs are also similar to those of LBGs. Our sample of
8 LBG analogs thus provides detailed insight into the connection between star
formation and LBG morphology. Faint tidal features or companions can be seen in
all of the rest-frame optical images, suggesting that the starbursts are the
result of a merger or interaction. The UV/optical light is dominated by
unresolved (~100-300 pc) super starburst regions (SSBs). A detailed comparison
with the galaxies Haro 11 and VV 114 at z=0.02 indicates that the SSBs
themselves consist of diffuse stars and (super) star clusters. The structural
features revealed by the new HST images occur on very small physical scales and
are thus not detectable in images of high redshift LBGs, except in a few cases
where they are magnified by gravitational lensing. We propose, therefore, that
LBGs are mergers of gas-rich, relatively low-mass (~10^10 Msun) systems, and
that the mergers trigger the formation of SSBs. If galaxies at high redshifts
are dominated by SSBs, then the faint end slope of the luminosity function is
predicted to have slope alpha~2. Our results are the most direct confirmation
to date of models that predict that the main mode of star formation in the
early universe was highly collisional.
| astro-ph | heckman et al 2005 used the galaxy evolution explorer galex uv imaging survey to show that there exists a rare population of nearby compact uvluminous galaxies uvlgs that closely resembles high redshift lyman break galaxies lbgs we present hst images in the uv optical and ha and resimulate them at the depth and resolution of the goodsudf fields to show that the morphologies of uvlgs are also similar to those of lbgs our sample of 8 lbg analogs thus provides detailed insight into the connection between star formation and lbg morphology faint tidal features or companions can be seen in all of the restframe optical images suggesting that the starbursts are the result of a merger or interaction the uvoptical light is dominated by unresolved 100300 pc super starburst regions ssbs a detailed comparison with the galaxies haro 11 and vv 114 at z002 indicates that the ssbs themselves consist of diffuse stars and super star clusters the structural features revealed by the new hst images occur on very small physical scales and are thus not detectable in images of high redshift lbgs except in a few cases where they are magnified by gravitational lensing we propose therefore that lbgs are mergers of gasrich relatively lowmass 1010 msun systems and that the mergers trigger the formation of ssbs if galaxies at high redshifts are dominated by ssbs then the faint end slope of the luminosity function is predicted to have slope alpha2 our results are the most direct confirmation to date of models that predict that the main mode of star formation in the early universe was highly collisional | [['heckman', 'et', 'al', '2005', 'used', 'the', 'galaxy', 'evolution', 'explorer', 'galex', 'uv', 'imaging', 'survey', 'to', 'show', 'that', 'there', 'exists', 'a', 'rare', 'population', 'of', 'nearby', 'compact', 'uvluminous', 'galaxies', 'uvlgs', 'that', 'closely', 'resembles', 'high', 'redshift', 'lyman', 'break', 'galaxies', 'lbgs', 'we', 'present', 'hst', 'images', 'in', 'the', 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709.3305 | Single Production of Heavy Charged Leptons at the ILC | This paper has been withdrawn by the authors due to a coding error and a
missed diagram. The calculation has been completely redone, with very different
results, and with an additional author, and will be submitted to the arxiv
shortly.
| hep-ph | this paper has been withdrawn by the authors due to a coding error and a missed diagram the calculation has been completely redone with very different results and with an additional author and will be submitted to the arxiv shortly | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'due', 'to', 'a', 'coding', 'error', 'and', 'a', 'missed', 'diagram', 'the', 'calculation', 'has', 'been', 'completely', 'redone', 'with', 'very', 'different', 'results', 'and', 'with', 'an', 'additional', 'author', 'and', 'will', 'be', 'submitted', 'to', 'the', 'arxiv', 'shortly']] | [-0.08857598467729985, 0.057878959880690674, -0.15153858971316367, -0.030771196287241766, -0.10908866015961394, -0.1382543155224994, 0.05058324158017058, 0.36033059703186154, -0.21505841966718436, -0.3398226897697896, 0.1783531755208969, -0.2998088664491661, -0.13999570300802588, 0.11935223736800253, -0.1850670381449163, 0.05661188717931509, 0.0614732388406992, -0.005367049435153604, -0.0724605226481799, -0.38160369963152335, 0.2874919858877547, 0.1677042021183297, 0.2116527394624427, 0.14124607008416207, 0.018708701396826656, -0.04238426514202729, -0.1222643677610904, 0.04970023678615689, -0.15097584524191915, 0.08308383881812915, 0.2537249495275319, 0.055241348233539614, 0.3208549299277365, -0.3837449177866802, -0.21361311844084413, 0.09348681673873216, 0.15985276878345758, 0.19955005645751953, -0.08366387300193309, -0.3577710333280265, 0.1468149904627353, -0.28868670540396124, -0.07417595639126376, -0.0401983002666384, 0.07498379498720169, -0.028502257424406707, -0.1897452577482909, -0.009805213543586433, 0.09199368013069034, 0.09462796146981418, -0.015078512171749025, -0.14374806629493833, 0.04798403847962618, 0.16102402887772768, 0.13360145511105656, 0.1434737029951066, -0.00537978895008564, -0.0705123051739065, -0.10305735729634762, 0.3555147485341877, -0.0037505207350477577, -0.17700173403136432, 0.18913305657915772, -0.06585683355806396, -0.1645244290586561, 0.16263323170132934, 0.11024780116858893, 0.047860372986178845, -0.2320583009859547, 0.09154463696322637, -0.01383462401572615, 0.17330270847305657, 0.13075017626397312, -0.022802837379276752, 0.13786324177053758, 0.11623575240373611, -0.022398949158377944, 0.16592018119699786, -0.0484961214940995, -0.011474331771023572, -0.23055758252739905, -0.13920565554872155, -0.2077282818965614, 0.03720767686609179, 0.10645748874048877, -0.09910510010086, 0.38973200963810084, 0.12244475702755153, 0.16150512007297949, -0.047798923536902294, 0.27639524471014737, 0.15157596915669275, 0.09142460585571825, 0.0676226990763098, 0.277014656632673, 0.12956375228823164, 0.16867521936073898, -0.08502728808089159, 0.12973750471137463, 0.09227343411184848] |
709.3306 | A refinement of the Kushnirenko-Bernstein estimate | A theorem of Kushnirenko and Bernstein shows that the number of isolated
roots of a system of polynomials in a torus is bounded above by the mixed
volume of the Newton polytopes of the given polynomials, and this upper bound
is generically exact. We improve on this result by introducing refined
combinatorial invariants of polynomials and a generalization of the mixed
volume of convex bodies: the mixed integral of concave functions. The proof is
based on new techniques and results from relative toric geometry.
| math.AG math.CO | a theorem of kushnirenko and bernstein shows that the number of isolated roots of a system of polynomials in a torus is bounded above by the mixed volume of the newton polytopes of the given polynomials and this upper bound is generically exact we improve on this result by introducing refined combinatorial invariants of polynomials and a generalization of the mixed volume of convex bodies the mixed integral of concave functions the proof is based on new techniques and results from relative toric geometry | [['a', 'theorem', 'of', 'kushnirenko', 'and', 'bernstein', 'shows', 'that', 'the', 'number', 'of', 'isolated', 'roots', 'of', 'a', 'system', 'of', 'polynomials', 'in', 'a', 'torus', 'is', 'bounded', 'above', 'by', 'the', 'mixed', 'volume', 'of', 'the', 'newton', 'polytopes', 'of', 'the', 'given', 'polynomials', 'and', 'this', 'upper', 'bound', 'is', 'generically', 'exact', 'we', 'improve', 'on', 'this', 'result', 'by', 'introducing', 'refined', 'combinatorial', 'invariants', 'of', 'polynomials', 'and', 'a', 'generalization', 'of', 'the', 'mixed', 'volume', 'of', 'convex', 'bodies', 'the', 'mixed', 'integral', 'of', 'concave', 'functions', 'the', 'proof', 'is', 'based', 'on', 'new', 'techniques', 'and', 'results', 'from', 'relative', 'toric', 'geometry']] | [-0.1479532504967037, 0.05961342035637548, -0.1447730883678776, 0.052367394791439266, -0.06239374266893026, -0.09846623965893828, 0.060023549345455, 0.21895383633229704, -0.2981551003952821, -0.2522879574625265, 0.13954683673052518, -0.22971515687337765, -0.1672047409007237, 0.23439468749954054, -0.1628324511527483, 0.03345689204122339, 0.040174454816484025, 0.02716164229648365, -0.12477586880578158, -0.3008418272781585, 0.3932994608656459, -0.011113883417454503, 0.18198428286095372, 0.11390545928762072, 0.12456199797868196, 0.011272069939877838, -0.032984076300635934, 0.02648828502389647, -0.1596521454385289, 0.21515227539376133, 0.21137394210589783, 0.1404535236790599, 0.21703517281760773, -0.37531778265145566, -0.1072421853619051, 0.14707874124758832, 0.08906695743401845, 0.051099112833894435, -0.00797724413652239, -0.24257194312355881, 0.07006427332470637, -0.11497376505507245, -0.20637621089727395, -0.035270498311590584, -0.009912729623638802, 0.09335188853687473, -0.2685662414532133, 0.06032860271876589, 0.12701722666099072, 0.11099720507679324, -0.05584394976141907, -0.15951166910512948, -0.018973277671085226, 0.015014636047583605, -0.014130600969240601, 0.042962673402923555, 0.060848716785022544, -0.11593532266228326, -0.1363698769238822, 0.3251391599353935, -0.030418513633776456, -0.25334083038337885, 0.14326396375240402, -0.14137936406768858, -0.15101520947202862, 0.17280891406837673, 0.16574955438928946, 0.18821999389633892, -0.054331502389340175, 0.13565645124929557, -0.1491469425603836, 0.09380514553881117, 0.11170583797086563, 0.005654390330337698, 0.149891825758719, 0.08502300369131956, 0.10187737569989015, 0.22611339079975595, 0.003390622136759616, -0.0924064933510852, -0.3332404914711203, -0.1850088160017982, -0.2662451589740591, 0.060722098364272996, -0.16322447270795237, -0.19398460558867164, 0.3847205457055852, 0.008803616743534803, 0.15977663675411827, 0.12462826117760935, 0.27140926264802967, 0.11957712387291915, 0.040670651371502095, 0.04623348049708078, 0.17918217403487124, 0.2022569118500022, 0.02824560294504322, -0.18664147621963084, 0.03136978859436654, 0.21897569501691447] |
709.3307 | Unitary equivalence between ordinary intelligent states and generalized
intelligent states | Ordinary intelligent states (OIS) hold equality in the Heisenberg uncertainty
relation involving two noncommuting observables {A, B}, whereas generalized
intelligent states (GIS) do so in the more generalized uncertainty relation,
the Schrodinger-Robertson inequality. In general, OISs form a subset of GISs.
However, if there exists a unitary evolution U that transforms the operators
{A, B} to a new pair of operators in a rotation form, it is shown that an
arbitrary GIS can be generated by applying the rotation operator U to a certain
OIS. In this sense, the set of OISs is unitarily equivalent to the set of GISs.
It is the case, for example, with the su(2) and the su(1,1) algebra that have
been extensively studied particularly in quantum optics. When these algebras
are represented by two bosonic operators (nondegenerate case), or by a single
bosonic operator (degenerate case), the rotation, or pseudo-rotation, operator
U corresponds to phase shift, beam splitting, or parametric amplification,
depending on two observables {A, B}.
| quant-ph | ordinary intelligent states ois hold equality in the heisenberg uncertainty relation involving two noncommuting observables a b whereas generalized intelligent states gis do so in the more generalized uncertainty relation the schrodingerrobertson inequality in general oiss form a subset of giss however if there exists a unitary evolution u that transforms the operators a b to a new pair of operators in a rotation form it is shown that an arbitrary gis can be generated by applying the rotation operator u to a certain ois in this sense the set of oiss is unitarily equivalent to the set of giss it is the case for example with the su2 and the su11 algebra that have been extensively studied particularly in quantum optics when these algebras are represented by two bosonic operators nondegenerate case or by a single bosonic operator degenerate case the rotation or pseudorotation operator u corresponds to phase shift beam splitting or parametric amplification depending on two observables a b | [['ordinary', 'intelligent', 'states', 'ois', 'hold', 'equality', 'in', 'the', 'heisenberg', 'uncertainty', 'relation', 'involving', 'two', 'noncommuting', 'observables', 'a', 'b', 'whereas', 'generalized', 'intelligent', 'states', 'gis', 'do', 'so', 'in', 'the', 'more', 'generalized', 'uncertainty', 'relation', 'the', 'schrodingerrobertson', 'inequality', 'in', 'general', 'oiss', 'form', 'a', 'subset', 'of', 'giss', 'however', 'if', 'there', 'exists', 'a', 'unitary', 'evolution', 'u', 'that', 'transforms', 'the', 'operators', 'a', 'b', 'to', 'a', 'new', 'pair', 'of', 'operators', 'in', 'a', 'rotation', 'form', 'it', 'is', 'shown', 'that', 'an', 'arbitrary', 'gis', 'can', 'be', 'generated', 'by', 'applying', 'the', 'rotation', 'operator', 'u', 'to', 'a', 'certain', 'ois', 'in', 'this', 'sense', 'the', 'set', 'of', 'oiss', 'is', 'unitarily', 'equivalent', 'to', 'the', 'set', 'of', 'giss', 'it', 'is', 'the', 'case', 'for', 'example', 'with', 'the', 'su2', 'and', 'the', 'su11', 'algebra', 'that', 'have', 'been', 'extensively', 'studied', 'particularly', 'in', 'quantum', 'optics', 'when', 'these', 'algebras', 'are', 'represented', 'by', 'two', 'bosonic', 'operators', 'nondegenerate', 'case', 'or', 'by', 'a', 'single', 'bosonic', 'operator', 'degenerate', 'case', 'the', 'rotation', 'or', 'pseudorotation', 'operator', 'u', 'corresponds', 'to', 'phase', 'shift', 'beam', 'splitting', 'or', 'parametric', 'amplification', 'depending', 'on', 'two', 'observables', 'a', 'b']] | [-0.15015070575318532, 0.17873712401860758, -0.057310963361487666, 0.08433843266466283, -0.06457518024835736, -0.1824512578197755, 0.004168300209857989, 0.3473873421549797, -0.292615561990533, -0.21017655521573034, 0.10190904605915421, -0.2843530959653435, -0.1249607878664392, 0.19991479036179954, -0.054579492830089296, 0.04928540435284958, 0.058336092488025314, 0.09741005041869358, -0.116254083396052, -0.21638691025509615, 0.3668514729477465, -0.06402234968045377, 0.2430718548654113, -0.02969117836037185, 0.09261932178633288, 0.02305391417175997, 0.03278927687788382, -0.002514077414525673, -0.07094361857666627, 0.0984589815219806, 0.24531514170230367, 0.0985734540518024, 0.252607737359358, -0.37309507936006414, -0.1615858896228019, 0.16231144906778355, 0.13077140178356786, 0.05871837628510548, -0.022895001200686237, -0.29675127462978707, 0.014948993986763526, -0.19800344847899395, -0.1366001562884776, -0.07257507063695812, 0.05755517651223272, -0.029567919020337285, -0.30823080693371596, 0.0680193388427142, 0.10469103659779648, 0.06358284866146277, -0.025224608622374946, -0.06123534545404254, -0.05593242085305974, 0.07248889527782013, -0.04197423407313181, 0.060172468420933004, 0.08444540569034871, -0.08470473374618451, -0.10910825656974339, 0.38412997974628527, -0.047201324996422045, -0.2801320392274647, 0.12437647277583892, -0.16741015675652307, -0.13430009486328345, 0.0347838874484296, 0.09491681360523216, 0.10777973961958195, -0.16295262349203768, 0.14974090954601707, -0.07594893762725405, 0.1302088697964791, 0.08735737086681183, 0.03879831003323488, 0.16344281354831763, 0.051248461937939284, 0.10791632696345914, 0.1201405897816585, -0.006285736696736421, -0.1226284863485489, -0.32558646276593206, -0.13908953094796744, -0.13735060104518199, 0.11192851024970878, -0.04724870198397184, -0.1466629173291949, 0.3429055263957707, 0.07536912785872119, 0.18887882108101622, -0.018823234297451565, 0.24685202655018657, 0.18218699711596856, 0.09068315304721182, 0.06232041166476847, 0.21462572054952034, 0.17622236194147262, 0.044088386712246574, -0.20090008238039445, 0.016085103893419727, 0.11288843964284752] |
709.3308 | Are There Enough Ionizing Photons to Reionize the Universe by z=6? | An estimate for the number of ionizing photons per baryon as a function of
redshift is computed based on the plausible extrapolation of the observed
galaxy UV luminosity function and the latest results on the properties of the
escape fraction of ionizing radiation. It is found that, if the escape fraction
for low mass galaxies (Mtot<10^{11}Msun) is assumed to be negligibly small, as
indicated by numerical simulations, then there are not enough ionizing photons
to reionize the universe by z=6 for the cosmology favored by the WMAP 3rd year
results, while the WMAP 1st year cosmology is marginally consistent with the
reionization requirement. The escape fraction as a function of galaxy mass
would have to be constant to within a factor of two for the whole mass range of
galaxies for reionization to be possible within the WMAP 3rd year cosmology.
| astro-ph | an estimate for the number of ionizing photons per baryon as a function of redshift is computed based on the plausible extrapolation of the observed galaxy uv luminosity function and the latest results on the properties of the escape fraction of ionizing radiation it is found that if the escape fraction for low mass galaxies mtot1011msun is assumed to be negligibly small as indicated by numerical simulations then there are not enough ionizing photons to reionize the universe by z6 for the cosmology favored by the wmap 3rd year results while the wmap 1st year cosmology is marginally consistent with the reionization requirement the escape fraction as a function of galaxy mass would have to be constant to within a factor of two for the whole mass range of galaxies for reionization to be possible within the wmap 3rd year cosmology | [['an', 'estimate', 'for', 'the', 'number', 'of', 'ionizing', 'photons', 'per', 'baryon', 'as', 'a', 'function', 'of', 'redshift', 'is', 'computed', 'based', 'on', 'the', 'plausible', 'extrapolation', 'of', 'the', 'observed', 'galaxy', 'uv', 'luminosity', 'function', 'and', 'the', 'latest', 'results', 'on', 'the', 'properties', 'of', 'the', 'escape', 'fraction', 'of', 'ionizing', 'radiation', 'it', 'is', 'found', 'that', 'if', 'the', 'escape', 'fraction', 'for', 'low', 'mass', 'galaxies', 'mtot1011msun', 'is', 'assumed', 'to', 'be', 'negligibly', 'small', 'as', 'indicated', 'by', 'numerical', 'simulations', 'then', 'there', 'are', 'not', 'enough', 'ionizing', 'photons', 'to', 'reionize', 'the', 'universe', 'by', 'z6', 'for', 'the', 'cosmology', 'favored', 'by', 'the', 'wmap', '3rd', 'year', 'results', 'while', 'the', 'wmap', '1st', 'year', 'cosmology', 'is', 'marginally', 'consistent', 'with', 'the', 'reionization', 'requirement', 'the', 'escape', 'fraction', 'as', 'a', 'function', 'of', 'galaxy', 'mass', 'would', 'have', 'to', 'be', 'constant', 'to', 'within', 'a', 'factor', 'of', 'two', 'for', 'the', 'whole', 'mass', 'range', 'of', 'galaxies', 'for', 'reionization', 'to', 'be', 'possible', 'within', 'the', 'wmap', '3rd', 'year', 'cosmology']] | [-0.019450570017631563, 0.1747287592893242, -0.023049653402995317, 0.11284582740294614, -0.0710878379593071, -0.04152481734054163, 0.044288955658807284, 0.3566379085781851, -0.15493520850847875, -0.3728849291335791, 0.05371869451233319, -0.31416851123462297, 0.049463329911148844, 0.23740483367416476, 0.010345812910652187, -0.009241128972332393, 0.0289590446478022, -0.03587518893847508, 0.004406398403911486, -0.34960511163808405, 0.29978249315421895, 0.1599782723268228, 0.16182452176165368, 0.03578840708027461, 0.09832827916501888, -0.10304668581312788, -0.08306372563570871, -0.020006647592942628, -0.15057344898674013, -0.007520912393894312, 0.215536201030149, 0.1746825677675328, 0.25343410492475543, -0.3451809332306896, -0.22609774002589153, 0.15242833897853936, 0.17656351120843153, 0.0880144103746196, -0.07862653117127982, -0.2356455403446619, 0.06215661450821374, -0.18268615596129426, -0.15266123125329614, 0.0617256886924484, 0.03726721978413739, 0.0015625345716086616, -0.25008234149177694, 0.17226316130254418, -0.07757368002619063, -0.025978523988409767, -0.07498358085285872, -0.06017525111591177, -0.10439276202315731, 0.06529830341044414, 0.05253958738675075, 0.10278086484343346, 0.20081652076914908, -0.16387139723104024, -0.021004443429410456, 0.4463883174849408, -0.08126692074750151, -0.05588875130883285, 0.11881397492418598, -0.22885778007579835, -0.15840975461261614, 0.1645454177616297, 0.12358643380658967, 0.04115161612031183, -0.14642241396941244, 0.039786197366317666, -0.005679695042116301, 0.24723352336358012, 0.04515310401579232, 0.018615062761195338, 0.3129609760429178, 0.10264946605478015, 0.06812394618089976, 0.050822754245018587, -0.12675422204192727, -0.006481187318734425, -0.3202357335282224, -0.08022782144668911, -0.19991341230592558, 0.09750658996313827, -0.1273024867728444, -0.1307805668047097, 0.33908616417486753, 0.13068254184909164, 0.23776403828524054, 0.1086193698707835, 0.3381270908417979, 0.11624933019380218, 0.09788881332247651, 0.04812651848686593, 0.3689345006431852, 0.14379598086234183, 0.07242518948041834, -0.20161811444309674, 0.06525874290881413, 0.017274294627298202] |
709.3309 | Aspects of power corrections in hadron-hadron collisions | The program of understanding inverse-power law corrections to event shapes
and energy flow observables in e+ e- annihilation to two jets and DIS (1+1)
jets has been a significant success of QCD phenomenology over the last decade.
The important extension of this program to similar observables in hadron
collisions is not straightforward, being obscured by both conceptual and
technical issues. In this paper we shed light on some of these issues by
providing an estimate of power corrections to the inter-jet E_t flow
distribution in hadron collisions using the techniques that were employed in
the e+ e- annihilation and DIS cases.
| hep-ph | the program of understanding inversepower law corrections to event shapes and energy flow observables in e e annihilation to two jets and dis 11 jets has been a significant success of qcd phenomenology over the last decade the important extension of this program to similar observables in hadron collisions is not straightforward being obscured by both conceptual and technical issues in this paper we shed light on some of these issues by providing an estimate of power corrections to the interjet e_t flow distribution in hadron collisions using the techniques that were employed in the e e annihilation and dis cases | [['the', 'program', 'of', 'understanding', 'inversepower', 'law', 'corrections', 'to', 'event', 'shapes', 'and', 'energy', 'flow', 'observables', 'in', 'e', 'e', 'annihilation', 'to', 'two', 'jets', 'and', 'dis', '11', 'jets', 'has', 'been', 'a', 'significant', 'success', 'of', 'qcd', 'phenomenology', 'over', 'the', 'last', 'decade', 'the', 'important', 'extension', 'of', 'this', 'program', 'to', 'similar', 'observables', 'in', 'hadron', 'collisions', 'is', 'not', 'straightforward', 'being', 'obscured', 'by', 'both', 'conceptual', 'and', 'technical', 'issues', 'in', 'this', 'paper', 'we', 'shed', 'light', 'on', 'some', 'of', 'these', 'issues', 'by', 'providing', 'an', 'estimate', 'of', 'power', 'corrections', 'to', 'the', 'interjet', 'e_t', 'flow', 'distribution', 'in', 'hadron', 'collisions', 'using', 'the', 'techniques', 'that', 'were', 'employed', 'in', 'the', 'e', 'e', 'annihilation', 'and', 'dis', 'cases']] | [-0.07136975556132522, 0.11372024066746811, -0.1762201677924852, 0.14676229367470645, -0.05202180531456845, -0.08417804866088646, -0.019831625974073196, 0.3559087962649836, -0.21868342181003772, -0.2937173108100006, 0.03525508000944179, -0.32333803231744923, -0.01426848135531262, 0.18992385166780193, -0.03857414098687027, 0.11093490998638739, 0.07678289501236217, -0.04324664469891329, -0.027792758481245083, -0.251575543250114, 0.31563103150594796, 0.10954231080958748, 0.21252657755250387, 0.13419102409872974, 0.06445682930787748, 0.026040464393577843, -0.09031818383477057, -0.003367767070921047, -0.12029043216487949, 0.11736131964843849, 0.2727917861723627, 0.09286987849299123, 0.19270354278914695, -0.4024207376238733, -0.17639199822609736, 0.1490597457735624, 0.15830654979194744, 0.05755857620151981, -0.043357119873617914, -0.22865306503960106, 0.060739759774187045, -0.23547429741719866, -0.11563607192791925, -0.07090450039520713, 0.057585016178833964, 0.004800616127282086, -0.23973811426578034, 0.05554327520883024, 0.04435075547241855, 0.03457468537853496, 0.015367309392273132, -0.13410334160901827, -0.01930358524591026, 0.04835913785834714, 0.1270372608635058, 0.07409349642232946, 0.1508444028740546, -0.20336460637269854, -0.18634385379529236, 0.40109714272773206, 0.006455373968744632, -0.11508047286107546, 0.17166871368184244, -0.21124777836162634, -0.18071437178935745, 0.15748299286691564, 0.25483483357336556, 0.08616581311748227, -0.1817761822695853, 0.10667895652713383, 0.005290573187366054, 0.10397473449408455, 0.05354880318875507, 0.04830648188045857, 0.20761548045395625, 0.16830669047476926, -0.012187457805969706, 0.052146200376498225, -0.09425017272472602, -0.06520849280059338, -0.38307319007039364, -0.10207814769358328, -0.09026991671393855, 0.06828247331152555, -0.03276909884966744, -0.06337060193452837, 0.3792990888883867, 0.10218439254181294, 0.2691095655249192, -0.03854003940745819, 0.3275043779596834, 0.08167592585916714, 0.05605690045245361, 0.0939143555893535, 0.29254581087002635, 0.13935263796783245, 0.1763120200657885, -0.20506202076713895, 0.04560150211621629, 0.05527085479865275] |
709.331 | Final Report on ECCS/NSF Workshop on Quantum, Molecular and High
Performance Modeling and Simulation for Devices and Systems (QMHP) | The National Science Foundation has identified a new thrust area in Quantum,
Molecular and High Performance Modeling and Simulation for Devices and Systems
(QMHP) in its core program. The main purpose of this thrust area is to capture
scientific opportunities that result from new fundamental cross-cutting
research involving three core research communities: (1) experts in modeling and
simulation of electronic devices and systems; (2) high performance computing
relevant to devices and systems; and (3) the quantum many-body principles
relevant to devices and systems. ECCS is especially interested in learning how
work in these areas could enable whole new classes of systems or devices,
beyond what is already under development in existing mainstream research. The
workshop helped identify technical areas that will enable fundamental
breakthroughs in the future. Modeling and simulation in the electronics and
optoelectronics areas, in general, have already resulted in important
fundamental scientific understanding and advances in design and development of
devices and systems. With the increasing emphasis on the next generation of
devices and systems at the nano, micro, and macro scales and the
interdisciplinary nature of the research, it is imperative that we explore new
mathematical models and simulation techniques. This workshop report provides a
better understanding of unmet emerging new opportunities to improve modeling,
simulation and design techniques for hybrid devices and systems. The purpose
the QMHP workshop was to define the field and strengthen the focus of the
thrust. The ultimate goal of the workshop was to produce a final report (this
document) that will be posted on the web so that the NSF can use it to guide
reviewers and researchers in this field.
| quant-ph | the national science foundation has identified a new thrust area in quantum molecular and high performance modeling and simulation for devices and systems qmhp in its core program the main purpose of this thrust area is to capture scientific opportunities that result from new fundamental crosscutting research involving three core research communities 1 experts in modeling and simulation of electronic devices and systems 2 high performance computing relevant to devices and systems and 3 the quantum manybody principles relevant to devices and systems eccs is especially interested in learning how work in these areas could enable whole new classes of systems or devices beyond what is already under development in existing mainstream research the workshop helped identify technical areas that will enable fundamental breakthroughs in the future modeling and simulation in the electronics and optoelectronics areas in general have already resulted in important fundamental scientific understanding and advances in design and development of devices and systems with the increasing emphasis on the next generation of devices and systems at the nano micro and macro scales and the interdisciplinary nature of the research it is imperative that we explore new mathematical models and simulation techniques this workshop report provides a better understanding of unmet emerging new opportunities to improve modeling simulation and design techniques for hybrid devices and systems the purpose the qmhp workshop was to define the field and strengthen the focus of the thrust the ultimate goal of the workshop was to produce a final report this document that will be posted on the web so that the nsf can use it to guide reviewers and researchers in this field | [['the', 'national', 'science', 'foundation', 'has', 'identified', 'a', 'new', 'thrust', 'area', 'in', 'quantum', 'molecular', 'and', 'high', 'performance', 'modeling', 'and', 'simulation', 'for', 'devices', 'and', 'systems', 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709.3311 | Harmonic functions via restricted mean-value theorems | Let $f$ be a function on a bounded domain $\Omega \subseteq \mathbb{R}^n$ and
$\delta$ be a positive function on $\Omega$ such that $B(x,\delta(x))\subseteq
\Omega$. Let $\sigma(f)(x)$ be the average of $f$ over the ball
$B(x,\delta(x))$. The restricted mean-value theorems discuss the conditions on
$f,\delta,$ and $\Omega$ under which $\sigma(f)=f$ implies that $f$ is
harmonic. In this paper, we study the stability of harmonic functions with
respect to the map $\sigma$. One expects that, in general, the sequence
$\sigma^n(f)$ converges to a harmonic function. Among our results, we show that
if $\Omega$ is strongly convex (respectively $C^{2,\alpha}$-smooth for some
$\alpha\in [0,1]$), the function $\delta(x)$ is continuous, and $f\in C^0(\bar
\Omega)$ (respectively, $f\in C^{2,\alpha}(\bar \Omega)$), then $\sigma^n(f)$
converges to a harmonic function uniformly on $\bar \Omega$.
| math.AP | let f be a function on a bounded domain omega subseteq mathbbrn and delta be a positive function on omega such that bxdeltaxsubseteq omega let sigmafx be the average of f over the ball bxdeltax the restricted meanvalue theorems discuss the conditions on fdelta and omega under which sigmaff implies that f is harmonic in this paper we study the stability of harmonic functions with respect to the map sigma one expects that in general the sequence sigmanf converges to a harmonic function among our results we show that if omega is strongly convex respectively c2alphasmooth for some alphain 01 the function deltax is continuous and fin c0bar omega respectively fin c2alphabar omega then sigmanf converges to a harmonic function uniformly on bar omega | [['let', 'f', 'be', 'a', 'function', 'on', 'a', 'bounded', 'domain', 'omega', 'subseteq', 'mathbbrn', 'and', 'delta', 'be', 'a', 'positive', 'function', 'on', 'omega', 'such', 'that', 'bxdeltaxsubseteq', 'omega', 'let', 'sigmafx', 'be', 'the', 'average', 'of', 'f', 'over', 'the', 'ball', 'bxdeltax', 'the', 'restricted', 'meanvalue', 'theorems', 'discuss', 'the', 'conditions', 'on', 'fdelta', 'and', 'omega', 'under', 'which', 'sigmaff', 'implies', 'that', 'f', 'is', 'harmonic', 'in', 'this', 'paper', 'we', 'study', 'the', 'stability', 'of', 'harmonic', 'functions', 'with', 'respect', 'to', 'the', 'map', 'sigma', 'one', 'expects', 'that', 'in', 'general', 'the', 'sequence', 'sigmanf', 'converges', 'to', 'a', 'harmonic', 'function', 'among', 'our', 'results', 'we', 'show', 'that', 'if', 'omega', 'is', 'strongly', 'convex', 'respectively', 'c2alphasmooth', 'for', 'some', 'alphain', '01', 'the', 'function', 'deltax', 'is', 'continuous', 'and', 'fin', 'c0bar', 'omega', 'respectively', 'fin', 'c2alphabar', 'omega', 'then', 'sigmanf', 'converges', 'to', 'a', 'harmonic', 'function', 'uniformly', 'on', 'bar', 'omega']] | [-0.17254737543006396, 0.09570980212924167, -0.0769066321382556, -0.014942511560893136, -0.050121084801001664, -0.12300560228799566, 0.02498390695987398, 0.3749879603986709, -0.32054645131374226, -0.10034825059370507, 0.07491274235633619, -0.32314034197318914, -0.10658594721864009, 0.21797972835664606, -0.08313097479223305, 0.022883575422697346, 0.03901018814087428, 0.12397374146104116, -0.06165971838194748, -0.19256847764461718, 0.3435227989042499, -0.13656448423541312, 0.15925275178722523, 0.09688793788894866, 0.08775576793765329, -0.03472639110886717, 0.08975911253645759, -0.011113852820487628, -0.2468026405501938, 0.06618995241146407, 0.19479533140387, 0.12098126549370072, 0.34904052949799547, -0.310747085900622, -0.16822105805903417, 0.2197327235761773, 0.12500265327980742, -0.1204600902886435, 0.0284206198141027, -0.2637261022524587, 0.18313513762831432, -0.04679247638479614, -0.16390850904783041, -0.04838847672438313, 0.11004382559371277, 0.10259852843993375, -0.39201595936099004, 0.08982295831183679, 0.13225222358897584, 0.008044311375325096, -0.09078606588621463, -0.14439333064766632, -0.04806863627163693, 0.042763219921496405, -0.009341635466312411, 0.258586174094897, 0.08855417001880063, -0.047638271760661155, -0.004275751167683509, 0.36794336401086686, -0.1682878904253373, -0.3480265330169992, 0.1011685969324076, -0.27727975551006867, -0.12301711018341754, 0.03411614766408657, 0.14274114449403114, 0.18378012548682504, -0.057875603188535775, 0.2231336383932824, -0.0995403977335784, 0.19863026069099854, 0.1418707614587941, -0.004890482440683188, 0.1091412136545465, 0.08046147633135191, 0.18902452336222833, 0.16292780409627272, 0.0009018894333135465, 0.011180395280524832, -0.39436757015385504, -0.10863009165041149, -0.19942624284885824, 0.12388676689166961, -0.10448255405948469, -0.15315464923784522, 0.33800842625827626, 0.035525606985300266, 0.2015438116043164, 0.1333629707414416, 0.2079377880095151, 0.1943168224945488, -0.01100064160559198, 0.07168013653477076, 0.08801528070335767, 0.14847440915061802, 0.016838670687163892, -0.21311894491925065, 0.0005270892489251906, 0.06373231949177792] |
709.3312 | Obstruction bundles over moduli spaces with boundary and the action
filtration in symplectic field theory | Branched covers of orbit cylinders are the basic examples of holomorphic
curves studied in symplectic field theory. Since all curves with Fredholm index
one can never be regular for any choice of cylindrical almost complex
structure, we generalize the obstruction bundle technique of Taubes for
determining multiple cover contributions from Gromov-Witten theory to the case
of moduli spaces with boundary. Our result proves that the differential in
rational symplectic field theory and contact homology is strictly decreasing
with respect to the natural action filtration.
| math.SG math.DG | branched covers of orbit cylinders are the basic examples of holomorphic curves studied in symplectic field theory since all curves with fredholm index one can never be regular for any choice of cylindrical almost complex structure we generalize the obstruction bundle technique of taubes for determining multiple cover contributions from gromovwitten theory to the case of moduli spaces with boundary our result proves that the differential in rational symplectic field theory and contact homology is strictly decreasing with respect to the natural action filtration | [['branched', 'covers', 'of', 'orbit', 'cylinders', 'are', 'the', 'basic', 'examples', 'of', 'holomorphic', 'curves', 'studied', 'in', 'symplectic', 'field', 'theory', 'since', 'all', 'curves', 'with', 'fredholm', 'index', 'one', 'can', 'never', 'be', 'regular', 'for', 'any', 'choice', 'of', 'cylindrical', 'almost', 'complex', 'structure', 'we', 'generalize', 'the', 'obstruction', 'bundle', 'technique', 'of', 'taubes', 'for', 'determining', 'multiple', 'cover', 'contributions', 'from', 'gromovwitten', 'theory', 'to', 'the', 'case', 'of', 'moduli', 'spaces', 'with', 'boundary', 'our', 'result', 'proves', 'that', 'the', 'differential', 'in', 'rational', 'symplectic', 'field', 'theory', 'and', 'contact', 'homology', 'is', 'strictly', 'decreasing', 'with', 'respect', 'to', 'the', 'natural', 'action', 'filtration']] | [-0.19437003018157112, 0.07177167563211351, -0.1109924488035696, 0.07557906784045156, -0.10564288795770456, -0.1495648607212518, -0.05546543305501386, 0.3593784474679047, -0.32564872798199457, -0.2365974924240228, 0.08879222208911199, -0.23533681369874448, -0.2106465639635211, 0.22033327516345752, -0.18235857718225038, 0.03266748212765725, 0.058172368648532334, 0.05515367154675048, -0.08361815888201818, -0.2940050382596729, 0.4548593968363656, -0.05157929842382492, 0.19857566794269674, 0.05809630330796132, 0.0749374101211461, 0.04805305386448059, -0.03258003833858917, 0.013146389173232905, -0.154540271404455, 0.13153058458175065, 0.31778832165790455, 0.011525095529144718, 0.12485882350232541, -0.3821880421878415, -0.1994396002281584, 0.15331589860198575, 0.10282159812881478, 0.013931085633798614, 0.03999329065637929, -0.22821498271687665, 0.1018815459461794, -0.11563892957443993, -0.24049010226458667, -0.09081299066366184, 0.03224376994018842, 0.0346662417675058, -0.17843864243158827, -0.04165770082978443, 0.06809555733620766, 0.12269167623127855, -0.09576692036353052, -0.06775111215566063, -0.08587703464408628, 0.1003725714538069, 0.061955421073694845, 0.08597020393270734, 0.11789947939437947, -0.0902015935807001, -0.11223630002322829, 0.3603512902863302, -0.09489855169141222, -0.25615767997113015, 0.10744862982426726, -0.16722376745504638, -0.16544852046562092, 0.2200436486566018, 0.04599214999359988, 0.17960356224163357, -0.029573791993676594, 0.18311507366750102, -0.07025287239160943, 0.08430091391173414, 0.13683134220385304, -0.050703526191812544, 0.1644748788593071, 0.09734189579085935, 0.12171342868047456, 0.08811935743766039, 0.0017210952133782918, -0.15516668528531832, -0.3371679889976457, -0.21213501487814246, -0.08302742868268286, 0.13516865330027594, -0.12075187611775445, -0.22546077198127196, 0.3872104328613551, 0.021877854344590258, 0.17084030712222947, 0.14170944426829615, 0.23714136641605624, 0.06542004177130625, 0.06363540605664075, 0.01426666762147631, 0.17784267074118057, 0.2443866602122961, -0.0002708560565397853, -0.11027323748151373, -0.04599906040155994, 0.18964488995316925] |
709.3313 | Oxygen pumping II: Probing the Inhomogeneous Metal Enrichment at the
Epoch of Reionization with High Frequency CMB Observations | At the epoch of reionization, when the high-redshift inter-galactic medium
(IGM) is being enriched with metals, the 63.2 micron fine structure line of OI
is pumped by the ~ 1300 AA soft UV background and introduces a spectral
distortion in the Cosmic Microwave Background (CMB). Here we use a toy model
for the spatial distribution of neutral oxygen, assuming metal bubbles surround
dark matter halos, and compute the fluctuations of this distortion, and the
angular power spectrum it imprints on the CMB. We discuss the dependence of the
power spectrum on the velocity of the winds polluting the IGM with metals, the
minimum mass of the halos producing these winds, and on the cosmic epoch when
the OI pumping occurs. We find that, although the clustering signal of the CMB
distortion is weak \delta y_{rms} ~ 10^{-7} (roughly corresponding to a
temperature anisotropy of few nK), it may be reachable in deep integrations
with high-sensitivity infrared detectors. Even without a detection, these
instruments should be able to useful constraints on the heavy element
enrichment history of the IGM.
| astro-ph | at the epoch of reionization when the highredshift intergalactic medium igm is being enriched with metals the 632 micron fine structure line of oi is pumped by the 1300 aa soft uv background and introduces a spectral distortion in the cosmic microwave background cmb here we use a toy model for the spatial distribution of neutral oxygen assuming metal bubbles surround dark matter halos and compute the fluctuations of this distortion and the angular power spectrum it imprints on the cmb we discuss the dependence of the power spectrum on the velocity of the winds polluting the igm with metals the minimum mass of the halos producing these winds and on the cosmic epoch when the oi pumping occurs we find that although the clustering signal of the cmb distortion is weak delta y_rms 107 roughly corresponding to a temperature anisotropy of few nk it may be reachable in deep integrations with highsensitivity infrared detectors even without a detection these instruments should be able to useful constraints on the heavy element enrichment history of the igm | [['at', 'the', 'epoch', 'of', 'reionization', 'when', 'the', 'highredshift', 'intergalactic', 'medium', 'igm', 'is', 'being', 'enriched', 'with', 'metals', 'the', '632', 'micron', 'fine', 'structure', 'line', 'of', 'oi', 'is', 'pumped', 'by', 'the', '1300', 'aa', 'soft', 'uv', 'background', 'and', 'introduces', 'a', 'spectral', 'distortion', 'in', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'here', 'we', 'use', 'a', 'toy', 'model', 'for', 'the', 'spatial', 'distribution', 'of', 'neutral', 'oxygen', 'assuming', 'metal', 'bubbles', 'surround', 'dark', 'matter', 'halos', 'and', 'compute', 'the', 'fluctuations', 'of', 'this', 'distortion', 'and', 'the', 'angular', 'power', 'spectrum', 'it', 'imprints', 'on', 'the', 'cmb', 'we', 'discuss', 'the', 'dependence', 'of', 'the', 'power', 'spectrum', 'on', 'the', 'velocity', 'of', 'the', 'winds', 'polluting', 'the', 'igm', 'with', 'metals', 'the', 'minimum', 'mass', 'of', 'the', 'halos', 'producing', 'these', 'winds', 'and', 'on', 'the', 'cosmic', 'epoch', 'when', 'the', 'oi', 'pumping', 'occurs', 'we', 'find', 'that', 'although', 'the', 'clustering', 'signal', 'of', 'the', 'cmb', 'distortion', 'is', 'weak', 'delta', 'y_rms', '107', 'roughly', 'corresponding', 'to', 'a', 'temperature', 'anisotropy', 'of', 'few', 'nk', 'it', 'may', 'be', 'reachable', 'in', 'deep', 'integrations', 'with', 'highsensitivity', 'infrared', 'detectors', 'even', 'without', 'a', 'detection', 'these', 'instruments', 'should', 'be', 'able', 'to', 'useful', 'constraints', 'on', 'the', 'heavy', 'element', 'enrichment', 'history', 'of', 'the', 'igm']] | [-0.08980731276263083, 0.17178257884923367, -0.03737124928672399, 0.09178610589355231, -0.07243687901113714, -0.04712423457631043, 0.0027652856947055883, 0.4226911376243723, -0.22321452920724238, -0.31046158771695836, 0.039006640199305755, -0.3375021863941635, 0.006050951747622873, 0.13989095157012343, 0.053023500916148936, -0.03932934443599411, -0.011382142143723156, -0.06551686165854335, -0.02094523302545505, -0.26488915349223785, 0.3124243668242239, 0.17535249988265736, 0.21961027011541384, 0.04051096155574279, 0.08534163094524826, -0.09719988470098802, -0.0711915059018481, -0.008579809383622237, -0.14636616927858476, 0.050153880954853125, 0.20687399996444583, 0.12887525567784905, 0.19018242140633188, -0.382552872842976, -0.25829418484653743, 0.130805052912661, 0.14719955114913838, 0.11131127006507345, -0.07112695591790336, -0.2589769567442792, 0.037631975657173564, -0.13846687428453672, -0.11070622255426965, 0.027908329019056898, -0.027618821593267576, 0.0006716889475605317, -0.2453763025776217, 0.11639031977259687, 0.011268144371985858, 0.03435162534338555, -0.0555573310436947, -0.06836398264925395, -0.07263782559494887, 0.03916164613761274, 0.007464484152650194, 0.016749030042971885, 0.22833816620654293, -0.17808213497778136, 0.03176949474694473, 0.423291330385421, -0.14298424224768366, -0.021749629032398972, 0.15687491744224513, -0.23135296729226995, -0.14743925332224794, 0.18354366045445203, 0.14374418120964297, 0.07777944069355726, -0.11347442622545974, 0.07497142380901746, -0.0015396601600306374, 0.22968140262312123, 0.07587532001148377, 0.07461221683504327, 0.33909557049827915, 0.1277604041354997, 0.06672975015693478, 0.0715823710616678, -0.18280342537643654, 0.049504089525767736, -0.26684014840849807, -0.10137464182983552, -0.14291483274527958, 0.09948607000123177, -0.1559348164522089, -0.14832963990978898, 0.36544817458039947, 0.16443845599158002, 0.23226433864262488, 0.023364115990698337, 0.36933636693017824, 0.0877171896717378, 0.047852450702339414, 0.06760480239189097, 0.30655045565749917, 0.16308494109793434, 0.1160285855530362, -0.25732299324258096, 0.05349773171224764, 0.001990224825151797] |
709.3314 | The Cosmological Constant is Probably Zero, and a Proof is Possibly
Right | Hawking proposed that the cosmological constant is probably zero in quantum
cosmology. Duff claimed that Hawking's proof is invalidated. Using the right
configuration for the wave function of the universe, we provide a complete
proof.
| gr-qc astro-ph hep-th | hawking proposed that the cosmological constant is probably zero in quantum cosmology duff claimed that hawkings proof is invalidated using the right configuration for the wave function of the universe we provide a complete proof | [['hawking', 'proposed', 'that', 'the', 'cosmological', 'constant', 'is', 'probably', 'zero', 'in', 'quantum', 'cosmology', 'duff', 'claimed', 'that', 'hawkings', 'proof', 'is', 'invalidated', 'using', 'the', 'right', 'configuration', 'for', 'the', 'wave', 'function', 'of', 'the', 'universe', 'we', 'provide', 'a', 'complete', 'proof']] | [-0.13993151994155986, 0.09511737677135639, -0.18337669420455183, 0.13837911410124173, -0.13630982472428255, -0.15772653529420494, -0.004913507006131112, 0.24616222982960087, -0.14887647603505424, -0.20342097064214093, 0.0583814067998901, -0.26282534676470926, -0.10111162627914122, 0.19908056615718772, -0.05882841798343829, 0.00038245213883263726, 0.007235063160104411, 0.02057704350195958, -0.009175568938787494, -0.3003457440495757, 0.33896758130618504, 0.12372082728293858, 0.2177262294771416, 0.09273025106106486, 0.1381064023955592, -0.0039487521297165325, -0.0179615903911846, -0.0025606506104980196, -0.1978199353994569, 0.011014346844915833, 0.2037502711439239, 0.21622599996626377, 0.24205970588539327, -0.36790134917412487, -0.21626581693666855, 0.09044248586786645, 0.141088129407061, 0.19470912175519126, -0.09718565685408456, -0.3026165523965444, 0.10253080951848201, -0.17564527168869973, -0.16834234055131675, -0.004805402085185051, 0.03731703151549612, -0.13196657039225101, -0.1762748222798109, 0.10998753559376512, 0.09001963298235621, -0.03316150507224458, -0.05144336537591049, -0.06452845209943396, 0.051740553230047226, 0.03110267619735428, 0.07396666283852288, 0.08037370002795277, 0.11624740662851504, -0.06067935542336532, -0.10545932888718589, 0.37073130221771344, -0.12182982840708324, -0.15286990345588752, 0.08902624094459627, -0.15841410434139627, -0.10415768100480949, 0.07960218540392816, -0.028970122603433474, 0.1103781419140952, -0.1095386939389365, 0.17884445022791623, -0.04315459616440681, 0.17386046424508095, 0.11700744724699429, 0.021468071985457624, 0.2853944565036467, 0.06306427866220474, 0.07574102761490005, 0.0862029179930687, 0.03091067915250148, -0.09957223377589669, -0.4054849340181266, -0.188021960322346, -0.2757170344569853, 0.15461290705716238, -0.11464703707024455, -0.2304261959024838, 0.33880999141505785, 0.1539271494107587, 0.12542159284598062, 0.0736733954133732, 0.2845704587442534, 0.11229275959943022, 0.01159290999307164, 0.07010546683200768, 0.31483370374355996, 0.1612245702384306, 0.14892544474984917, -0.1968266916594335, 0.04068346144631505, 0.1287230395179774] |
709.3315 | FSR584 - a new globular cluster in the Galaxy? | We investigate the nature of the recently catalogued star cluster candidate
FSR584, which is projected in the direction of the molecular cloud W3 and may
be the nearest globular cluster to the Sun. 2MASS CMDs, the stellar radial
density profile, and proper motions are employed to derive fundamental and
structural parameters. The CMD morphology and the radial density profile show
that FSR584 is an old star cluster. With proper motions, the properties of
FSR584 are consistent with a metal-poor globular cluster with a well-defined
turnoff and evidence of a blue horizontal-branch. FSR584 might be a
Palomar-like halo globular cluster that is moving towards the Galactic plane.
The distance from the Sun is approx 1.4kpc, and it is located at approx 1kpc
outside the Solar circle. The radial density profile is characterized by a core
radius of rc=0.3+/-0.1 pc. However, we cannot exclude the possibility of an old
open cluster. Near-infrared photometry coupled to proper motions support the
scenario where FSR584 is a new globular cluster in the Galaxy. The absorption
is A_V=9.2+/-0.6$, which makes it a limiting object in the optical and explains
why it has so far been overlooked
| astro-ph | we investigate the nature of the recently catalogued star cluster candidate fsr584 which is projected in the direction of the molecular cloud w3 and may be the nearest globular cluster to the sun 2mass cmds the stellar radial density profile and proper motions are employed to derive fundamental and structural parameters the cmd morphology and the radial density profile show that fsr584 is an old star cluster with proper motions the properties of fsr584 are consistent with a metalpoor globular cluster with a welldefined turnoff and evidence of a blue horizontalbranch fsr584 might be a palomarlike halo globular cluster that is moving towards the galactic plane the distance from the sun is approx 14kpc and it is located at approx 1kpc outside the solar circle the radial density profile is characterized by a core radius of rc0301 pc however we cannot exclude the possibility of an old open cluster nearinfrared photometry coupled to proper motions support the scenario where fsr584 is a new globular cluster in the galaxy the absorption is a_v9206 which makes it a limiting object in the optical and explains why it has so far been overlooked | [['we', 'investigate', 'the', 'nature', 'of', 'the', 'recently', 'catalogued', 'star', 'cluster', 'candidate', 'fsr584', 'which', 'is', 'projected', 'in', 'the', 'direction', 'of', 'the', 'molecular', 'cloud', 'w3', 'and', 'may', 'be', 'the', 'nearest', 'globular', 'cluster', 'to', 'the', 'sun', '2mass', 'cmds', 'the', 'stellar', 'radial', 'density', 'profile', 'and', 'proper', 'motions', 'are', 'employed', 'to', 'derive', 'fundamental', 'and', 'structural', 'parameters', 'the', 'cmd', 'morphology', 'and', 'the', 'radial', 'density', 'profile', 'show', 'that', 'fsr584', 'is', 'an', 'old', 'star', 'cluster', 'with', 'proper', 'motions', 'the', 'properties', 'of', 'fsr584', 'are', 'consistent', 'with', 'a', 'metalpoor', 'globular', 'cluster', 'with', 'a', 'welldefined', 'turnoff', 'and', 'evidence', 'of', 'a', 'blue', 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-0.25249173484678583, 0.06075023622720172, 0.006050562251681984] |
709.3316 | Line crossing problem for biased monotonic random walks in the plane | In this paper, we study the problem of finding the probability that the
two-dimensional (biased) monotonic random walk crosses the line $y=\alpha x+d$,
where $\alpha,d \geq 0$. A $\beta$-biased monotonic random walk moves from
$(a,b)$ to $(a+1,b)$ or $(a,b+1)$ with probabilities $1/(\beta + 1)$ and
$\beta/(\beta + 1)$, respectively. Among our results, we show that if $\beta
\geq \lceil \alpha \rceil$, then the $\beta$-biased monotonic random walk,
starting from the origin, crosses the line $y=\alpha x+d$ for all $d\geq 0$
with probability 1.
| math.PR math.CO | in this paper we study the problem of finding the probability that the twodimensional biased monotonic random walk crosses the line yalpha xd where alphad geq 0 a betabiased monotonic random walk moves from ab to a1b or ab1 with probabilities 1beta 1 and betabeta 1 respectively among our results we show that if beta geq lceil alpha rceil then the betabiased monotonic random walk starting from the origin crosses the line yalpha xd for all dgeq 0 with probability 1 | [['in', 'this', 'paper', 'we', 'study', 'the', 'problem', 'of', 'finding', 'the', 'probability', 'that', 'the', 'twodimensional', 'biased', 'monotonic', 'random', 'walk', 'crosses', 'the', 'line', 'yalpha', 'xd', 'where', 'alphad', 'geq', '0', 'a', 'betabiased', 'monotonic', 'random', 'walk', 'moves', 'from', 'ab', 'to', 'a1b', 'or', 'ab1', 'with', 'probabilities', '1beta', '1', 'and', 'betabeta', '1', 'respectively', 'among', 'our', 'results', 'we', 'show', 'that', 'if', 'beta', 'geq', 'lceil', 'alpha', 'rceil', 'then', 'the', 'betabiased', 'monotonic', 'random', 'walk', 'starting', 'from', 'the', 'origin', 'crosses', 'the', 'line', 'yalpha', 'xd', 'for', 'all', 'dgeq', '0', 'with', 'probability', '1']] | [-0.10537721118947238, 0.19916978726209497, -0.015163629281300085, 0.008944963602303171, 0.024598573863414335, -0.30453103787070257, 0.09878391482907543, 0.4059342211457314, -0.27090800561608724, -0.14468227387808355, 0.024791522125460576, -0.3791040662722087, -0.13067648907330026, 0.08574046534888538, 0.007429249274233977, 0.026335469981724466, -0.0029627374016944273, 0.07538452366206014, -0.03677582793098725, -0.2410637911087201, 0.28845483506167374, -0.05635665000680788, 0.13648627637483088, 0.006644648436548902, 0.049813494781883044, 0.03660784248423613, 0.045733038198064874, -0.0016557971866410456, -0.2655899419406512, -0.02585884127449704, 0.19042235157556003, 0.12352609974734577, 0.2747179540046663, -0.2911029906920445, -0.14789952989092764, 0.2493865187452347, 0.20526012596041884, -0.01853178979621993, 0.016760226965732414, -0.26278482402249437, 0.15000751228244216, -0.06885148512406482, -0.17978698452129777, 0.07792369705153468, 0.13114573325915838, 0.04756445247668451, -0.34229900901792226, 0.05715733800689908, 0.12836631102326476, -0.0077652071177223584, 0.01288941779093426, -0.21266239028378034, -0.019513476625613778, 0.0849079624088596, 0.00020942147131319398, 0.15275273152719032, 0.08179848059367986, -0.07780763487055621, -0.12460461579102242, 0.32828333955488087, -0.07134689678104571, -0.15049462729237145, 0.08787670140844528, -0.2635038238030249, -0.2020866940556853, 0.1516664310094015, 0.07197328929409937, 0.16121081393901948, -0.032999442913282065, 0.1707903658504092, -0.05940114292330511, 0.15862562809783368, 0.10133477589287967, -0.06596132619651379, 0.11109613444955077, 0.07788445978471434, 0.11845833755293746, 0.08814778212561375, -0.11211964890452815, -0.05516160337576344, -0.3487165505871361, -0.14334538208757652, -0.2312306392216411, 0.19975809856996307, -0.1758376159645936, -0.1393418557550988, 0.2942963377285151, 0.1498956874610833, 0.24897039996713033, 0.1989203453362908, 0.19172537005448967, 0.12433396789883436, -0.11077899706584436, 0.1258293432758454, 0.08905770218022811, 0.08515038304418947, 0.026359806797340696, -0.14082823198196698, 0.0465280275941355, 0.07918944355836254] |
709.3317 | Stick-Breaking Model for Variable-Range Hopping | We consider the optimal conduction path of the one-dimensional variable-range
hopping problem. We describe a hierarchical procedure for constructing the path
which is in excellent agreement with numerical results obtained from a
percolation approach. The advantage of the hierarchical construction is that it
is easier to analyse. We show that the distribution of hopping lengths is well
approximated by a model for the repeated breaking of a stick at its weakest
point, until the fragments are too strong to be broken.
| cond-mat.dis-nn | we consider the optimal conduction path of the onedimensional variablerange hopping problem we describe a hierarchical procedure for constructing the path which is in excellent agreement with numerical results obtained from a percolation approach the advantage of the hierarchical construction is that it is easier to analyse we show that the distribution of hopping lengths is well approximated by a model for the repeated breaking of a stick at its weakest point until the fragments are too strong to be broken | [['we', 'consider', 'the', 'optimal', 'conduction', 'path', 'of', 'the', 'onedimensional', 'variablerange', 'hopping', 'problem', 'we', 'describe', 'a', 'hierarchical', 'procedure', 'for', 'constructing', 'the', 'path', 'which', 'is', 'in', 'excellent', 'agreement', 'with', 'numerical', 'results', 'obtained', 'from', 'a', 'percolation', 'approach', 'the', 'advantage', 'of', 'the', 'hierarchical', 'construction', 'is', 'that', 'it', 'is', 'easier', 'to', 'analyse', 'we', 'show', 'that', 'the', 'distribution', 'of', 'hopping', 'lengths', 'is', 'well', 'approximated', 'by', 'a', 'model', 'for', 'the', 'repeated', 'breaking', 'of', 'a', 'stick', 'at', 'its', 'weakest', 'point', 'until', 'the', 'fragments', 'are', 'too', 'strong', 'to', 'be', 'broken']] | [-0.11507709825951835, 0.14047127940841478, -0.09351051782752261, 0.09891811371953399, -0.046605111847137226, -0.1510978052450091, 0.07686263302134143, 0.42778151772088474, -0.29891039312667683, -0.2584978020922453, 0.0897388792651372, -0.2531581548973918, -0.16019135975152438, 0.17217169740858176, 0.0004937150688083084, 0.035905807164790866, 0.09217119566164911, 0.008216005862104121, -0.05394841624239897, -0.2116755944458239, 0.2675631682583947, 0.06245759864521707, 0.2583111943015944, 0.03441792339615432, 0.09454295739680989, 0.03878107831962867, 0.01720769510799904, 0.050493744736606325, -0.1505642528958291, 0.10063388099589235, 0.20209957029164574, 0.03085833964984358, 0.24270883899894946, -0.39714700471103925, -0.21167171177602326, 0.07143591615704843, 0.1353193347365308, 0.16535062369758285, -0.028392811823222373, -0.23824938854639544, 0.118427707189924, -0.17919508106776594, -0.163161446829039, -0.04042107997646118, -0.006681847894840219, 0.02401588535235252, -0.31542291096699093, 0.08310322260576082, 0.062051683619767886, -0.0011088006589331744, -0.03155085944461372, -0.05093049964534096, -0.031171311227673734, 0.1292708556363244, 0.044310475754218155, 0.024177541220445693, 0.0713543433374093, -0.09959938573179605, -0.10911159463985651, 0.4090260359470123, -0.028774792397463764, -0.16331917986871652, 0.16264523412848328, -0.09753065730335858, -0.12724198887331617, 0.1658958916172937, 0.0864120796840224, 0.10959235631090439, -0.15769622622080792, 0.08665381183410868, -0.07161210565022941, 0.12682358728417045, 0.031927915580317746, -0.025399510151606748, 0.19762406986221862, 0.22500493986831036, 0.08794620319235104, 0.1896518715499199, -0.06859446454356298, -0.16765372203318057, -0.2960670423912413, -0.11830901252544186, -0.23054166610444676, 0.02764715209465336, -0.08632318389222578, -0.1706645605786715, 0.36852259575216856, 0.1734965981133742, 0.25255484637562875, 0.11616417006905662, 0.2560215272544021, 0.1636842750472787, 0.06324335301501884, 0.058479885927137036, 0.2092849147149626, 0.09997510477572817, 0.053780902496159626, -0.23260825059238682, 0.07258183758038982, 0.08887292712604926] |
709.3318 | Yields from AGB Stars and their Impact on the Chemical Evolution of
Dwarf Galaxies | By means of 2--D chemodynamical simulations, we study the evolution of dwarf
galaxies with structural parameters similar to IZw18 and to tidal dwarf
galaxies. Different sets of yields from intermediate-mass stars are tested, in
order to discover which one best reproduces the observed chemical compositions
(in particular for nitrogen). Different choices of yields from
intermediate-mass stars lead to differences of up to 0.3--0.6 dex, depending on
the assumptions. It is also shown that, given the dependence of the cooling
function on the metallicity, the dynamics of galaxies is also significantly
affected by the choice of nucleosynthetic yields.
| astro-ph | by means of 2d chemodynamical simulations we study the evolution of dwarf galaxies with structural parameters similar to izw18 and to tidal dwarf galaxies different sets of yields from intermediatemass stars are tested in order to discover which one best reproduces the observed chemical compositions in particular for nitrogen different choices of yields from intermediatemass stars lead to differences of up to 0306 dex depending on the assumptions it is also shown that given the dependence of the cooling function on the metallicity the dynamics of galaxies is also significantly affected by the choice of nucleosynthetic yields | [['by', 'means', 'of', '2d', 'chemodynamical', 'simulations', 'we', 'study', 'the', 'evolution', 'of', 'dwarf', 'galaxies', 'with', 'structural', 'parameters', 'similar', 'to', 'izw18', 'and', 'to', 'tidal', 'dwarf', 'galaxies', 'different', 'sets', 'of', 'yields', 'from', 'intermediatemass', 'stars', 'are', 'tested', 'in', 'order', 'to', 'discover', 'which', 'one', 'best', 'reproduces', 'the', 'observed', 'chemical', 'compositions', 'in', 'particular', 'for', 'nitrogen', 'different', 'choices', 'of', 'yields', 'from', 'intermediatemass', 'stars', 'lead', 'to', 'differences', 'of', 'up', 'to', '0306', 'dex', 'depending', 'on', 'the', 'assumptions', 'it', 'is', 'also', 'shown', 'that', 'given', 'the', 'dependence', 'of', 'the', 'cooling', 'function', 'on', 'the', 'metallicity', 'the', 'dynamics', 'of', 'galaxies', 'is', 'also', 'significantly', 'affected', 'by', 'the', 'choice', 'of', 'nucleosynthetic', 'yields']] | [-0.006734093428246158, 0.09695290086656502, -0.09608908254682019, 0.08535692788247672, -0.07794605665984228, -0.03325577523948183, 0.04576104563977761, 0.39465712337303405, -0.15133271057197115, -0.37556926669437707, -0.025682377770600708, -0.2825753066650371, -0.060809187327041145, 0.2401528463353278, -0.050754962258578576, -0.01195468252870379, 0.08172595118815751, -0.05167120721517611, -0.10576337503662966, -0.3265951744943243, 0.367968355655939, 0.048335410817766315, 0.1486527710413733, -0.05623230607412064, 0.055635802177760325, -0.13352235193969203, -0.050726399531338326, -0.0209096573946095, -0.19230007872589416, 0.00851205984831394, 0.2281494554199432, 0.12106294560332581, 0.1773542440640404, -0.359616210857003, -0.21327678145859966, 0.05653276841741862, 0.17482001454924645, 0.07110197354736977, -0.10609680637189177, -0.23661353247547426, 0.1136381818538474, -0.1393274488755665, -0.1479726306477216, 0.001414807090900608, 0.011245769976647859, 0.07607050174991264, -0.2809933930366617, 0.11896485545055595, 0.056066887222768105, 0.07833432840644237, -0.0967657408657839, -0.1509557639719131, -0.09506197832524776, 0.11615088925884134, 0.07429265189128592, 0.025979705142894202, 0.18663159340197585, -0.10284454462156851, -0.000707547463591873, 0.4555486161261797, -0.1017977823515317, -0.06147530667013345, 0.2565824730302562, -0.2003711864409834, -0.1646053643714752, 0.08099596771008345, 0.13339697136591697, 0.11845261760574487, -0.17135586144076181, 0.02372027032939026, 0.008581423230070774, 0.19830610397627058, 0.06094895056976946, 0.05357750850614429, 0.25998955440333055, 0.15668323605090917, 0.03442459552039959, 0.0696449442046512, -0.12210508274183292, -0.08837011009190693, -0.19393801313618525, -0.09911404084414244, -0.11574380271636027, 0.09673792202044855, -0.18152511040497085, -0.13650671117452992, 0.3930395139554112, 0.16451524031473344, 0.23445178400341077, 0.027467370953785313, 0.24803467818713487, 0.09627820034847431, 0.11658345199353301, 0.0751503419764724, 0.28573727252480297, 0.1772259883558589, 0.016062824746843465, -0.3063254593871534, 0.1505727927805376, 0.0138510923506212] |
709.3319 | Photovoltaic Oscillations Due to Edge-Magnetoplasmon Modes in a
Very-High Mobility 2D Electron Gas | Using very-high mobility GaAs/AlGaAs 2D electron Hall bar samples, we have
experimentally studied the photoresistance/photovoltaic oscillations induced by
microwave irradiation in the regime where both 1/B and B-periodic oscillations
can be observed. In the frequency range between 27 and 130 GHz we found that
these two types of oscillations are decoupled from each other, consistent with
the respective models that 1/B oscillations occur in bulk while the
B-oscillations occur along the edges of the Hall bars. In contrast to the
original report of this phenomenon (Ref. 1) the periodicity of the
B-oscillations in our samples are found to be independent of L, the length of
the Hall bar section between voltage measuring leads.
| cond-mat.mes-hall | using veryhigh mobility gaasalgaas 2d electron hall bar samples we have experimentally studied the photoresistancephotovoltaic oscillations induced by microwave irradiation in the regime where both 1b and bperiodic oscillations can be observed in the frequency range between 27 and 130 ghz we found that these two types of oscillations are decoupled from each other consistent with the respective models that 1b oscillations occur in bulk while the boscillations occur along the edges of the hall bars in contrast to the original report of this phenomenon ref 1 the periodicity of the boscillations in our samples are found to be independent of l the length of the hall bar section between voltage measuring leads | [['using', 'veryhigh', 'mobility', 'gaasalgaas', '2d', 'electron', 'hall', 'bar', 'samples', 'we', 'have', 'experimentally', 'studied', 'the', 'photoresistancephotovoltaic', 'oscillations', 'induced', 'by', 'microwave', 'irradiation', 'in', 'the', 'regime', 'where', 'both', '1b', 'and', 'bperiodic', 'oscillations', 'can', 'be', 'observed', 'in', 'the', 'frequency', 'range', 'between', '27', 'and', '130', 'ghz', 'we', 'found', 'that', 'these', 'two', 'types', 'of', 'oscillations', 'are', 'decoupled', 'from', 'each', 'other', 'consistent', 'with', 'the', 'respective', 'models', 'that', '1b', 'oscillations', 'occur', 'in', 'bulk', 'while', 'the', 'boscillations', 'occur', 'along', 'the', 'edges', 'of', 'the', 'hall', 'bars', 'in', 'contrast', 'to', 'the', 'original', 'report', 'of', 'this', 'phenomenon', 'ref', '1', 'the', 'periodicity', 'of', 'the', 'boscillations', 'in', 'our', 'samples', 'are', 'found', 'to', 'be', 'independent', 'of', 'l', 'the', 'length', 'of', 'the', 'hall', 'bar', 'section', 'between', 'voltage', 'measuring', 'leads']] | [-0.16068409604070308, 0.2259669299736353, -0.02076038335300317, -0.00258331933894494, 0.022235518109352728, -0.13258908288220742, 0.02840702493787311, 0.358564911726197, -0.24804926257015072, -0.3446418476357524, 0.039955610516439526, -0.3008381459845363, -0.10033855318033602, 0.22527868607513873, 0.007168691272714308, 0.011276690262353182, -0.001991666873696626, -0.030299044375299542, -0.042066582856932655, -0.19443502208741847, 0.25878360679572715, 0.016059404333905798, 0.28026523509262397, 0.009747958293051593, 0.02654143126814493, -0.055868809489766136, 0.005026750538880671, 0.05105698062106967, -0.1316026068521491, 0.00033262177437011687, 0.24866229125619352, -0.04067009249365583, 0.17507705820025876, -0.4193645469245634, -0.16903487384011637, 0.060755575358468504, 0.14841910522123467, 0.10376553868783438, -0.03399223865874644, -0.2811661158630159, 0.09118066383442576, -0.12252088546353791, -0.07008587741542474, 0.03521013348030725, 0.04369388061708638, 0.006135872431644073, -0.222717416821979, 0.1601377699823518, 0.04258246925227078, 0.06102518776398418, -0.06425815717167487, -0.14219126679069763, -0.0500488746848922, 0.1011032408862645, 0.03959019019800637, 0.039890796135296114, 0.1544912609554428, -0.08545481839142408, -0.15772706812172796, 0.3368460022320505, -0.07343206252802961, -0.10972501979514553, 0.19013929394921952, -0.26306162444961956, -0.07430596078795913, 0.12685641184881596, 0.12025910817568988, 0.0402887154549327, -0.10420354911288346, 0.05153001179964382, -0.049441413324010294, 0.15308051932203984, 0.1206942433990272, 0.07033022837380745, 0.22876576686654257, 0.1375661793827021, 0.0003086576408739867, 0.10927119152048752, -0.18597859318833798, -0.00855387864950379, -0.27406282229016404, -0.09672628790472768, -0.14552696603849263, 0.06531455727859534, -0.033660322909781826, -0.12955447252274357, 0.41899831110744606, 0.16671885766637778, 0.26093463311761816, -0.026646328959031962, 0.25171427711445304, 0.12729331376301292, 0.09018805336329803, 0.0554263259650075, 0.29999001363259076, 0.13439447564035487, 0.09601190518463097, -0.2847258198910692, 0.044446432320650535, -0.06056716451504534] |
709.332 | The Abelian Monodromy Extension Property for Families of Curves | Necessary and sufficient conditions are given (in terms of monodromy) for
extending a family of smooth curves over an open subset U of S to a family of
stable curves over S. More precisely, we introduce the abelian monodromy
extension (AME) property and show that the standard Deligne-Mumford
compactification is the unique, maximal AME compactification of the moduli
space of curves. We also show that the Baily-Borel compactification is the
unique, maximal projective AME compactification of the moduli space of abelian
varieties.
| math.AG | necessary and sufficient conditions are given in terms of monodromy for extending a family of smooth curves over an open subset u of s to a family of stable curves over s more precisely we introduce the abelian monodromy extension ame property and show that the standard delignemumford compactification is the unique maximal ame compactification of the moduli space of curves we also show that the bailyborel compactification is the unique maximal projective ame compactification of the moduli space of abelian varieties | [['necessary', 'and', 'sufficient', 'conditions', 'are', 'given', 'in', 'terms', 'of', 'monodromy', 'for', 'extending', 'a', 'family', 'of', 'smooth', 'curves', 'over', 'an', 'open', 'subset', 'u', 'of', 's', 'to', 'a', 'family', 'of', 'stable', 'curves', 'over', 's', 'more', 'precisely', 'we', 'introduce', 'the', 'abelian', 'monodromy', 'extension', 'ame', 'property', 'and', 'show', 'that', 'the', 'standard', 'delignemumford', 'compactification', 'is', 'the', 'unique', 'maximal', 'ame', 'compactification', 'of', 'the', 'moduli', 'space', 'of', 'curves', 'we', 'also', 'show', 'that', 'the', 'bailyborel', 'compactification', 'is', 'the', 'unique', 'maximal', 'projective', 'ame', 'compactification', 'of', 'the', 'moduli', 'space', 'of', 'abelian', 'varieties']] | [-0.1992854527467521, 0.10154358386903257, -0.10706100185079111, 0.09661624616114195, -0.120093763871232, -0.0909302412168827, 0.023198362942444296, 0.3225702564799931, -0.3131121995336399, -0.15926143173809823, 0.11750347798451691, -0.20570650218599817, -0.1151564423358295, 0.2683033377681745, -0.18212546328389337, 0.0013821883717688118, -0.006614352636061973, 0.03729517098016492, -0.08616234050927365, -0.35676822353370213, 0.4438692124605906, -0.08265087607021375, 0.2526497529342589, 0.037688630837492826, 0.12495086124030555, -0.03875613484031907, -0.010605257410533362, -0.01965722286713128, -0.16934075340626495, 0.19867638064684665, 0.27764017678365654, 0.12655454415191963, 0.08146991037831801, -0.310904264847589, -0.23095420136956907, 0.28971944929941035, 0.10332159137512308, 0.004770970642112377, 0.048387802531623295, -0.2383385341523624, 0.10835626845179898, -0.14160898395973007, -0.24023088381523494, -0.11044399368735712, 0.12498712155786229, -0.01743040304267552, -0.22966385654332797, -0.06679515200191484, 0.04692067981203564, 0.13437286377657295, -0.08830825275196354, -0.049084200285284256, -0.12966780026057145, 0.00593376046092045, 0.020872874883934855, 0.0665641957212512, 0.059541130313513484, -0.10875901889919144, -0.07802249402199622, 0.36004701704667064, -0.1385372518930902, -0.17058556022622237, 0.1064334194482554, -0.1768426931713049, -0.10214229940618502, 0.1738439082826783, 0.03792559287351806, 0.1889332183523149, -0.02147982925994367, 0.26214231335893046, -0.16620515310773398, 0.10621531618753358, 0.10756986691025881, 0.04827436836572682, 0.15646525288409577, 0.11035143749833834, 0.15197748730027275, 0.14097281593528418, -0.03604252578508926, -0.03429635689116833, -0.47381890922921094, -0.19382008694384883, -0.07529190983396114, 0.1777395154122354, -0.1482292454822483, -0.1930326613620287, 0.4232306663378528, 0.05262386669532933, 0.22515005429797783, 0.07556240128852972, 0.1738153856429385, -0.03228240189065861, 0.012384865183110645, 0.06676012841507611, 0.12896569101594207, 0.17705545807257295, -0.10092192455251678, -0.1756602895883389, -0.05411861414407811, 0.17583087075887838] |
709.3321 | Gamma-ray emission from dark matter wakes of recoiled black holes | A new scenario for the emission of high-energy gamma-rays from dark matter
annihilation around massive black holes is presented. A black hole can leave
its parent halo, by means of gravitational radiation recoil, in a merger event
or in the asymmetric collapse of its progenitor star. A recoiled black hole
which moves on an almost-radial orbit outside the virial radius of its central
halo, in the cold dark matter background, reaches its apapsis in a finite time.
Near or at the apapsis passage, a high-density wake extending over a large
radius of influence, forms around the black hole. It is shown that significant
gamma-ray emission can result from the enhancement of neutralino annihilation
in these wakes. At its apapsis passage, a black hole is shown to produce a
flash of high-energy gamma-rays whose duration is determined by the mass of the
black hole and the redshift at which it is ejected. The ensemble of such black
holes in the Hubble volume is shown to produce a diffuse high-energy gamma-ray
background whose magnitude is compared to the diffuse emission from dark matter
haloes alone.
| astro-ph gr-qc | a new scenario for the emission of highenergy gammarays from dark matter annihilation around massive black holes is presented a black hole can leave its parent halo by means of gravitational radiation recoil in a merger event or in the asymmetric collapse of its progenitor star a recoiled black hole which moves on an almostradial orbit outside the virial radius of its central halo in the cold dark matter background reaches its apapsis in a finite time near or at the apapsis passage a highdensity wake extending over a large radius of influence forms around the black hole it is shown that significant gammaray emission can result from the enhancement of neutralino annihilation in these wakes at its apapsis passage a black hole is shown to produce a flash of highenergy gammarays whose duration is determined by the mass of the black hole and the redshift at which it is ejected the ensemble of such black holes in the hubble volume is shown to produce a diffuse highenergy gammaray background whose magnitude is compared to the diffuse emission from dark matter haloes alone | [['a', 'new', 'scenario', 'for', 'the', 'emission', 'of', 'highenergy', 'gammarays', 'from', 'dark', 'matter', 'annihilation', 'around', 'massive', 'black', 'holes', 'is', 'presented', 'a', 'black', 'hole', 'can', 'leave', 'its', 'parent', 'halo', 'by', 'means', 'of', 'gravitational', 'radiation', 'recoil', 'in', 'a', 'merger', 'event', 'or', 'in', 'the', 'asymmetric', 'collapse', 'of', 'its', 'progenitor', 'star', 'a', 'recoiled', 'black', 'hole', 'which', 'moves', 'on', 'an', 'almostradial', 'orbit', 'outside', 'the', 'virial', 'radius', 'of', 'its', 'central', 'halo', 'in', 'the', 'cold', 'dark', 'matter', 'background', 'reaches', 'its', 'apapsis', 'in', 'a', 'finite', 'time', 'near', 'or', 'at', 'the', 'apapsis', 'passage', 'a', 'highdensity', 'wake', 'extending', 'over', 'a', 'large', 'radius', 'of', 'influence', 'forms', 'around', 'the', 'black', 'hole', 'it', 'is', 'shown', 'that', 'significant', 'gammaray', 'emission', 'can', 'result', 'from', 'the', 'enhancement', 'of', 'neutralino', 'annihilation', 'in', 'these', 'wakes', 'at', 'its', 'apapsis', 'passage', 'a', 'black', 'hole', 'is', 'shown', 'to', 'produce', 'a', 'flash', 'of', 'highenergy', 'gammarays', 'whose', 'duration', 'is', 'determined', 'by', 'the', 'mass', 'of', 'the', 'black', 'hole', 'and', 'the', 'redshift', 'at', 'which', 'it', 'is', 'ejected', 'the', 'ensemble', 'of', 'such', 'black', 'holes', 'in', 'the', 'hubble', 'volume', 'is', 'shown', 'to', 'produce', 'a', 'diffuse', 'highenergy', 'gammaray', 'background', 'whose', 'magnitude', 'is', 'compared', 'to', 'the', 'diffuse', 'emission', 'from', 'dark', 'matter', 'haloes', 'alone']] | [-0.09062815896650536, 0.15582949061090304, -0.11808528379885132, 0.15412918770632061, -0.08242538905508079, -0.03282030862193186, 0.0014428402985456389, 0.3509520249809701, -0.18446935512570684, -0.32140462170099166, 0.025878356293785376, -0.3399529850908688, 0.04250427786578107, 0.22255183181598792, 0.007698214160032816, -0.027968040103627533, 0.014230657791063845, 0.06566293682943988, -0.06654751496087276, -0.22975454690538674, 0.3166930699889845, 0.14011735515668988, 0.1435734885194656, 0.01960053133450776, 0.09422037056596069, -0.04537357582332014, -0.006714338129693335, -0.029770700534125075, -0.11643396008134964, 0.007732299570976705, 0.1819856647263885, 0.1260559067851608, 0.18435787883776517, -0.36599847541643554, -0.2534835443110461, 0.10371569266982868, 0.1904056678055325, 0.09809172213903326, -0.15184772019031467, -0.314105892472051, 0.06500015603020214, -0.28677498388544215, -0.1718374689002163, 0.10428794219342807, 0.06937786351357188, -0.015829737722914624, -0.18717047725650635, 0.14694505254738033, 0.038939854743568085, -0.13430343357498173, -0.0822298989079862, -0.0051167247571296745, -0.06539869201778956, 0.012372511917479581, 0.10691662626161885, 0.055166843644046525, 0.28008238213382414, -0.15788348328711077, -0.054349382676614016, 0.4185407796444801, -0.05564123468350742, -0.02337129892327869, 0.19216358809537448, -0.2656595586174792, -0.1032147387446897, 0.24824130488303744, 0.16013750931437404, 0.14334950555412734, -0.13017695762503606, 0.08778755391844302, 0.00046181053071600066, 0.19136243472982373, 0.13018890816058226, 0.03362072817725385, 0.4743815182738907, 0.16544996188943284, 0.0510852056002797, 0.10424193656833197, -0.16894798427896962, -0.03097581586820984, -0.2698804290330672, -0.09718633594073273, -0.19163604520752534, 0.10748861044399687, -0.13178904681998385, -0.16554379460269428, 0.32076021261349486, 0.053761808577781685, 0.2104566612032723, -0.015166896788127065, 0.3054345131637532, 0.07124415498577406, 0.055856232068266023, 0.1318898113101598, 0.36336158503583826, 0.15086624665559362, 0.10046618141088082, -0.24619375183477302, 0.00013540991950411718, 0.027164501503908207] |
709.3322 | Multiplier ideal sheaves, Nevanlinna theory, and diophantine
approximation | This note states a conjecture for Nevanlinna theory or diophantine
approximation, with a sheaf of ideals in place of the normal crossings divisor.
This is done by using a correction term involving a multiplier ideal sheaf.
This new conjecture trivially implies earlier conjectures in Nevanlinna theory
or diophantine approximation, and in fact is equivalent to these conjectures.
Although it does not provide anything new, it may be a more convenient
formulation for some applications.
| math.NT math.AG | this note states a conjecture for nevanlinna theory or diophantine approximation with a sheaf of ideals in place of the normal crossings divisor this is done by using a correction term involving a multiplier ideal sheaf this new conjecture trivially implies earlier conjectures in nevanlinna theory or diophantine approximation and in fact is equivalent to these conjectures although it does not provide anything new it may be a more convenient formulation for some applications | [['this', 'note', 'states', 'a', 'conjecture', 'for', 'nevanlinna', 'theory', 'or', 'diophantine', 'approximation', 'with', 'a', 'sheaf', 'of', 'ideals', 'in', 'place', 'of', 'the', 'normal', 'crossings', 'divisor', 'this', 'is', 'done', 'by', 'using', 'a', 'correction', 'term', 'involving', 'a', 'multiplier', 'ideal', 'sheaf', 'this', 'new', 'conjecture', 'trivially', 'implies', 'earlier', 'conjectures', 'in', 'nevanlinna', 'theory', 'or', 'diophantine', 'approximation', 'and', 'in', 'fact', 'is', 'equivalent', 'to', 'these', 'conjectures', 'although', 'it', 'does', 'not', 'provide', 'anything', 'new', 'it', 'may', 'be', 'a', 'more', 'convenient', 'formulation', 'for', 'some', 'applications']] | [-0.1589520131536709, 0.02690430061035865, -0.17956049794431878, 0.12865453104431918, -0.1388382160583058, -0.21575503353960812, 0.037570623948389816, 0.27130490350159436, -0.30866671766381004, -0.22349986489988058, 0.09155105294917736, -0.2058144273123125, -0.16745520041424883, 0.18788877904188592, -0.16406308108235937, 0.021537707816507365, 0.065427074762615, 0.03086659591369696, -0.1004813226770509, -0.3126041656297103, 0.37435390932384777, -0.028897068337411493, 0.19721747335751313, 0.10948613278467108, 0.03449618628223401, -0.009485136453263663, 0.018714136129396187, -0.010504308328145763, -0.13694783616685183, 0.14095694286279958, 0.333125103928929, 0.0994356040012192, 0.2947925978617088, -0.43165224216677045, -0.16057364055509302, 0.12982279652528264, 0.14572227783414624, 0.08029538353376493, -0.020015329919555666, -0.20471215973029266, 0.06669759414334958, -0.1579707869001337, -0.21674467732097852, -0.09911623716706762, 0.0365340818550337, -0.02524917368852609, -0.3054316195193678, 0.03587707729909469, 0.12475104960361244, 0.10725175272466152, -0.01467391598113888, -0.08538561092919318, 0.07229614321998246, -0.020766919749361033, 0.01982978662173893, 0.09325749505109884, 0.0358242272675459, -0.10406864165466882, -0.1139750861864839, 0.37064608365196633, -0.04071225959656609, -0.2448895559520335, 0.10825724567513208, -0.14308760173593624, -0.21886824196003177, 0.12089796233418826, 0.0064535803300001335, 0.166918223232937, -0.053101249039173126, 0.15019562832202535, -0.158263340667897, 0.11795860856167369, 0.14300170510604576, -0.005191170132240733, 0.1685210008951332, 0.0519399149374835, 0.063217929831857, 0.07506860720742545, 0.05405822650504273, -0.04248265428720294, -0.3574477823300136, -0.1988704915196207, -0.14751237963729008, 0.16080117443709388, -0.03664357153792406, -0.21289826824480818, 0.35696162669793574, 0.12459996317016162, 0.13728915686039506, 0.10069876543019672, 0.266730487799725, 0.1435340207724555, 0.04930525214562344, 0.05199752367932249, 0.1971598258953875, 0.21573595594728012, 0.013360462831081572, -0.06340684083516936, 0.029011761215893, 0.18907747135774508] |
709.3323 | Chemistry in Protoplanetary Disks: A Sensitivity Analysis | We study how uncertainties in the rate coefficients of chemical reactions in
the RATE06 database affect abundances and column densities of key molecules in
protoplanetary disks. We randomly varied the gas-phase reaction rates within
their uncertainty limits and calculated the time-dependent abundances and
column densities using a gas-grain chemical model and a flaring steady-state
disk model. We find that key species can be separated into two distinct groups
according to the sensitivity of their column densities to the rate
uncertainties. The first group includes CO, C$^+$, H$_3^+$, H$_2$O, NH$_3$,
N$_2$H$^+$, and HCNH$^+$. For these species, the column densities are not very
sensitive to the rate uncertainties but the abundances in specific regions are.
The second group includes CS, CO$_2$, HCO$^+$, H$_2$CO, C$_2$H, CN, HCN, HNC
and other, more complex species, for which high abundances and abundance
uncertainties co-exist in the same disk region, leading to larger scatters in
the column densities. However, even for complex and heavy molecules, the
dispersion in their column densities is not more than a factor of ~4. We
perform a sensitivity analysis of the computed abundances to rate uncertainties
and identify those reactions with the most problematic rate coefficients. We
conclude that the rate coefficients of about a hundred of chemical reactions
need to be determined more accurately in order to greatly improve the
reliability of modern astrochemical models. This improvement should be an
ultimate goal for future laboratory studies and theoretical investigations.
| astro-ph | we study how uncertainties in the rate coefficients of chemical reactions in the rate06 database affect abundances and column densities of key molecules in protoplanetary disks we randomly varied the gasphase reaction rates within their uncertainty limits and calculated the timedependent abundances and column densities using a gasgrain chemical model and a flaring steadystate disk model we find that key species can be separated into two distinct groups according to the sensitivity of their column densities to the rate uncertainties the first group includes co c h_3 h_2o nh_3 n_2h and hcnh for these species the column densities are not very sensitive to the rate uncertainties but the abundances in specific regions are the second group includes cs co_2 hco h_2co c_2h cn hcn hnc and other more complex species for which high abundances and abundance uncertainties coexist in the same disk region leading to larger scatters in the column densities however even for complex and heavy molecules the dispersion in their column densities is not more than a factor of 4 we perform a sensitivity analysis of the computed abundances to rate uncertainties and identify those reactions with the most problematic rate coefficients we conclude that the rate coefficients of about a hundred of chemical reactions need to be determined more accurately in order to greatly improve the reliability of modern astrochemical models this improvement should be an ultimate goal for future laboratory studies and theoretical investigations | [['we', 'study', 'how', 'uncertainties', 'in', 'the', 'rate', 'coefficients', 'of', 'chemical', 'reactions', 'in', 'the', 'rate06', 'database', 'affect', 'abundances', 'and', 'column', 'densities', 'of', 'key', 'molecules', 'in', 'protoplanetary', 'disks', 'we', 'randomly', 'varied', 'the', 'gasphase', 'reaction', 'rates', 'within', 'their', 'uncertainty', 'limits', 'and', 'calculated', 'the', 'timedependent', 'abundances', 'and', 'column', 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709.3324 | Comment on "Interaction-driven Relaxation of Two-level Systems in
Glasses" | We comment on recent work of Bodea et al and discuss the numerical prefactor
in the interaction stimulated relaxation in amorphous solids.
| cond-mat.dis-nn cond-mat.mes-hall | we comment on recent work of bodea et al and discuss the numerical prefactor in the interaction stimulated relaxation in amorphous solids | [['we', 'comment', 'on', 'recent', 'work', 'of', 'bodea', 'et', 'al', 'and', 'discuss', 'the', 'numerical', 'prefactor', 'in', 'the', 'interaction', 'stimulated', 'relaxation', 'in', 'amorphous', 'solids']] | [-0.08594735728746111, 0.12919455524653048, -0.043548601573671804, -0.07980227382028136, -0.036172548245469276, -0.03287317294796759, 0.0704085928895934, 0.35979218493131077, -0.2069641569502313, -0.2992512546479702, -0.019679461679929358, -0.3143592872656882, -0.2774171322922815, 0.18271192705089395, -0.0935587724803058, 0.07677745624360713, -0.025786650070751257, -0.17808177398348396, -0.04182964586652815, -0.31314281712878833, 0.2522520705295557, 0.14300716778432782, 0.2711972108280117, 0.17588371614163573, -0.0455585121685131, 0.028155905194580555, -0.09511903470212763, -0.062141164459965446, -0.2656952135942199, 0.07171072709289464, 0.17424605558467607, -0.014283533483235673, 0.22297605431892656, -0.5545238981192763, -0.28262784497135063, -0.026735360056839207, 0.09562465010888198, 0.17454741632735188, -0.09344407292188738, -0.25716183006509463, -0.0643227266317064, -0.20152095942334694, -0.06480208928273483, -0.08300463588569652, 0.17580641670660538, 0.004741136736067181, -0.21721719984303822, 0.17728617922826248, 0.10549936769530177, 0.03476388392631303, -0.09953074072572318, -0.13605497879060832, 0.04806607013398951, -0.10372204714539376, 0.07714186278595166, 0.008699657691811974, 0.1380209815476767, -0.09429623449051922, -0.18493771565739403, 0.30118508670817723, -0.03568230805368247, -0.022526564245874233, 0.2569632743569938, -0.10895321712913839, -0.1620046165348454, 0.06043838828124783, 0.17621440516615455, 0.14369098770178176, -0.06204203397712924, 0.17961754014620304, -0.06243518062613227, 0.10145344206301327, 0.1036092823117294, -0.0005767274309288372, 0.09647581214085221, 0.1975672755559737, -0.124250282893296, 0.11242728519507429, -0.03742003789044578, -0.11586338674533181, -0.23394380141557616, -0.1768673466603187, -0.28068634613671084, 0.059901199684563006, -0.010384686396388464, -0.07914890954270959, 0.3460514291443608, 0.22283698703077706, 0.24706245958805084, -0.027441847857765177, 0.1846357069232247, 0.0863450128077106, -0.08896653811891818, 0.07387583592737262, 0.35320570929483935, 0.13864512013440783, 0.1159027447627688, -0.3160012670030648, 0.03523137046299367, 0.08340759617699818] |
709.3325 | Hochschild homology and cohomology of {\ell}^1({\mathbb Z}_+^k) | Building on the recent determination of the simplicial cohomology groups of
the convolution algebra ${\ell}^1({\mathbb Z}_+^k)$ [Gourdeau, Lykova, White,
2005] we investigate what can be said for cohomology of this algebra with more
general symmetric coefficients. Our approach leads us to a discussion of
Harrison homology and cohomology in the context of Banach algebras, and a
development of some of its basic features. As an application of our techniques
we reprove some known results on second-degree cohomology.
| math.FA math.AC | building on the recent determination of the simplicial cohomology groups of the convolution algebra ell1mathbb z_k gourdeau lykova white 2005 we investigate what can be said for cohomology of this algebra with more general symmetric coefficients our approach leads us to a discussion of harrison homology and cohomology in the context of banach algebras and a development of some of its basic features as an application of our techniques we reprove some known results on seconddegree cohomology | [['building', 'on', 'the', 'recent', 'determination', 'of', 'the', 'simplicial', 'cohomology', 'groups', 'of', 'the', 'convolution', 'algebra', 'ell1mathbb', 'z_k', 'gourdeau', 'lykova', 'white', '2005', 'we', 'investigate', 'what', 'can', 'be', 'said', 'for', 'cohomology', 'of', 'this', 'algebra', 'with', 'more', 'general', 'symmetric', 'coefficients', 'our', 'approach', 'leads', 'us', 'to', 'a', 'discussion', 'of', 'harrison', 'homology', 'and', 'cohomology', 'in', 'the', 'context', 'of', 'banach', 'algebras', 'and', 'a', 'development', 'of', 'some', 'of', 'its', 'basic', 'features', 'as', 'an', 'application', 'of', 'our', 'techniques', 'we', 'reprove', 'some', 'known', 'results', 'on', 'seconddegree', 'cohomology']] | [-0.13337332003376154, 0.010843666811285258, -0.12641386712264074, 0.05606486029328631, -0.13724588496169368, -0.09506922843253338, -0.01803601627991731, 0.3143148929812014, -0.34121641329195546, -0.22554879216477275, 0.16022949951768264, -0.21348595249123478, -0.20799049672572628, 0.1980046447562544, -0.21017029304302445, -0.03632058619941266, 0.05814094451795283, 0.08742441831227073, -0.09879167099164701, -0.2973203767140053, 0.4073306516572637, 0.03499778529543331, 0.19737250905937367, 0.053738277809890475, 0.05566216426852502, 0.010880372866890147, -0.0782145275428009, -0.055660456437372455, -0.1793841434088168, 0.1722506863420437, 0.3195306517085747, 0.06366793143464938, 0.206740737224831, -0.3963073003841074, -0.11107199473649655, 0.13053532818632543, 0.10847079223266949, 0.04320467210881792, -0.03803927203932146, -0.3097657163284327, 0.08120232574966442, -0.2327843105763589, -0.14080731293774748, -0.12520583774159222, 0.05677114868855202, 0.01564406336432225, -0.23045897007135577, -0.01307915821426401, 0.11034866483686001, 0.09810656054239524, -0.09365327345164444, -0.11730167624313924, -0.03402079991677678, 0.10104886944234175, -0.03381018112045958, 0.04004083159624746, 0.13613168871961534, -0.09648786720170296, -0.19012722004768684, 0.3752573413083538, -0.02633499726653099, -0.18816009164622396, 0.14925734538241828, -0.17184784967378763, -0.24674258903159121, 0.03839704215734903, 0.07080476902621358, 0.18277121739658087, -0.025723039050047334, 0.16536897314118074, -0.11304130881877714, 0.04460111596639954, 0.0744611197442282, 0.01265633141539231, 0.14174976169536085, 0.1314107125355421, 0.036415207080273446, 0.11999735563049878, 0.03260031404390343, -0.06547538624267633, -0.3110769053945612, -0.21248823624888533, -0.1116391833117967, 0.15818143464428813, -0.1285548620887168, -0.16728716114793266, 0.4423246086133938, 0.15962080324779412, 0.17793523359853824, 0.12329790382155854, 0.2133007322585112, 0.04842030382133089, 0.09274699980711662, 0.0039062291126404154, 0.11189444351399097, 0.2854866324188678, 0.04089513249499233, -0.10998148007753403, -0.02400027172437771, 0.21068773528953133] |
709.3326 | Thermodynamic guidelines for the prediction of hydrogen storage
reactions and their application to destabilized hydride mixtures | We propose a set of thermodynamic guidelines aimed at facilitating more
robust screening of hydrogen storage reactions. The utility of the guidelines
is illustrated by reassessing the validity of reactions recently proposed in
the literature, and through vetting a list of more than 20 candidate reactions
based on destabilized LiBH4 and Ca(BH4)2 borohydrides. Our analysis reveals
several new reactions having both favorable thermodynamics and relatively high
hydrogen densities (5-9 wt.% H2 & 85-100 g H2 /L), and demonstrates that
chemical intuition alone is not sufficient to identify valid reaction pathways.
| cond-mat.mtrl-sci cond-mat.other | we propose a set of thermodynamic guidelines aimed at facilitating more robust screening of hydrogen storage reactions the utility of the guidelines is illustrated by reassessing the validity of reactions recently proposed in the literature and through vetting a list of more than 20 candidate reactions based on destabilized libh4 and cabh42 borohydrides our analysis reveals several new reactions having both favorable thermodynamics and relatively high hydrogen densities 59 wt h2 85100 g h2 l and demonstrates that chemical intuition alone is not sufficient to identify valid reaction pathways | [['we', 'propose', 'a', 'set', 'of', 'thermodynamic', 'guidelines', 'aimed', 'at', 'facilitating', 'more', 'robust', 'screening', 'of', 'hydrogen', 'storage', 'reactions', 'the', 'utility', 'of', 'the', 'guidelines', 'is', 'illustrated', 'by', 'reassessing', 'the', 'validity', 'of', 'reactions', 'recently', 'proposed', 'in', 'the', 'literature', 'and', 'through', 'vetting', 'a', 'list', 'of', 'more', 'than', '20', 'candidate', 'reactions', 'based', 'on', 'destabilized', 'libh4', 'and', 'cabh42', 'borohydrides', 'our', 'analysis', 'reveals', 'several', 'new', 'reactions', 'having', 'both', 'favorable', 'thermodynamics', 'and', 'relatively', 'high', 'hydrogen', 'densities', '59', 'wt', 'h2', '85100', 'g', 'h2', 'l', 'and', 'demonstrates', 'that', 'chemical', 'intuition', 'alone', 'is', 'not', 'sufficient', 'to', 'identify', 'valid', 'reaction', 'pathways']] | [-0.07386624754409157, 0.08021273924334144, -0.03237795473945549, 0.07470692923049103, -0.037800922079689124, -0.16137122786180538, 0.16679292533610185, 0.3457912713268094, -0.16392531072382222, -0.3033014793287624, 0.03226484878872394, -0.2747888232115656, -0.10598603108982471, 0.19209844286193734, 0.012493610636077145, 0.0292569065508856, 0.042371751470372226, -0.029526759539625014, -0.015699681399961595, -0.24014678567288106, 0.2588643284133551, 0.12953876863254912, 0.26379899496466597, 0.1364364486865022, 0.0364169501487843, -0.059163615776924416, -0.054304623531854966, -0.041997533101080495, -0.14734204226500547, 0.148021318372974, 0.2821346396707337, 0.14207674519010735, 0.25302149658091366, -0.4236488910391927, -0.2431984242866747, 0.05720378108989363, 0.10366329721661961, 0.1044257371633483, -0.10928546970436318, -0.23182066453790123, 0.08480011514620855, -0.1574638580310751, -0.10771924635231368, -0.12508907569149, 0.07134252710701813, 0.02286630051887848, -0.2778129746809348, 0.07216537136859684, 0.01778902051525868, 0.11479510219810023, -0.09290272561536933, -0.19333273471883414, -0.09011865728958086, 0.0504888217494061, -0.019335264049004763, 0.00037937895930636756, 0.20658790919696912, -0.07707816980440509, -0.03919935424214187, 0.4307577592288991, -0.03127704144390009, -0.12863562532319603, 0.2503643676940225, -0.11552411798832261, -0.16174031789837914, 0.19887808157893067, 0.09153257033904083, 0.16089288671289317, -0.23307003000412474, 0.006722739566943015, 0.061401049796999854, 0.16998183613230305, 0.06954592836766758, 0.0030927360388556158, 0.17270434825596484, 0.22699539048136846, 0.03392272563227876, 0.11209703382337466, -0.08635151854832657, -0.07152395299635828, -0.2836785812766969, -0.16448275298303502, -0.11839522084813904, 0.05451549135035417, -0.06893446576842424, -0.08355950681619685, 0.3198347135912627, 0.13151471845974977, 0.17383176712742585, 0.0141621982276609, 0.2423578625417907, 0.02202956624205399, 0.04435685594746081, 0.05439805552702059, 0.21230851674177262, 0.15704162656170825, 0.07163701060397382, -0.21970994821326298, 0.12299169418507848, -0.0041181012162600054] |
709.3327 | Rearrangements and radial graphs of constant mean curvature in
hyperbolic space | We investigate the problem of finding smooth hypersurfaces of constant mean
curvature in hyperbolic space, which can be represented as radial graphs over a
subdomain of the upper hemisphere. Our approach is variational and our main
results are proved via rearrangement techniques.
| math.AP | we investigate the problem of finding smooth hypersurfaces of constant mean curvature in hyperbolic space which can be represented as radial graphs over a subdomain of the upper hemisphere our approach is variational and our main results are proved via rearrangement techniques | [['we', 'investigate', 'the', 'problem', 'of', 'finding', 'smooth', 'hypersurfaces', 'of', 'constant', 'mean', 'curvature', 'in', 'hyperbolic', 'space', 'which', 'can', 'be', 'represented', 'as', 'radial', 'graphs', 'over', 'a', 'subdomain', 'of', 'the', 'upper', 'hemisphere', 'our', 'approach', 'is', 'variational', 'and', 'our', 'main', 'results', 'are', 'proved', 'via', 'rearrangement', 'techniques']] | [-0.13811250305956319, 0.0684484381206511, -0.09758175141178071, 0.03922069228220997, -0.0761093725450337, -0.04994466582623621, -0.020372796271528517, 0.3824771285456206, -0.3062055685690471, -0.2968700129893564, 0.12260058174918716, -0.21818911614606068, -0.16813610485267072, 0.2511338714864992, -0.10457668749482504, 0.033093919866674, 0.10526498356124475, 0.03628767281770706, -0.05564027004653499, -0.28423085038195406, 0.35172132921538185, -0.050834842381023225, 0.18614607942955835, 0.10692247489350848, 0.10344511787185356, -0.031100548648585875, -0.039436533293198975, 0.08571172007733756, -0.18255434240148002, 0.17529079754604027, 0.25363746031542267, 0.11056556446211678, 0.2786111630931763, -0.3530544185833562, -0.2684354453258926, 0.14691424601533937, 0.17624088105124733, 0.07604088714911736, 0.0023494666397926352, -0.29346858989447355, 0.08470752921753696, -0.0383920265317318, -0.1690755735728003, -0.06238734708832843, -0.047815325625595595, 0.05721189608309595, -0.27931952033014523, 0.10193258727945033, 0.08374056903024514, 0.051603046250723615, -0.11428798935819595, -0.13524548437756798, -0.04500679530125732, 0.10198616982615065, 0.05592538996799184, 0.10116677968541071, 0.07590647713680353, -0.02885515148574043, -0.1144406878766382, 0.3451100234829244, -0.10581466768469129, -0.2589513626880944, 0.11138096737808414, -0.12729576547142296, -0.11431944913541277, 0.11189663842586535, 0.21177200839710644, 0.219993153542635, -0.10589214789104603, 0.13105376696607673, -0.09218101972891461, 0.09677196380549244, 0.10675805244993951, -0.039770433790094796, 0.1409193146253182, 0.14678832567075178, 0.19118663668632507, 0.14550110622630677, -0.06204607080490816, -0.11648442719264754, -0.3353124000132084, -0.19296182408219292, -0.22640239779970475, 0.04194533241735328, -0.1517156495021828, -0.19604187312402896, 0.3590480832360862, 0.019093139695801904, 0.1882421471001137, 0.12279552649540294, 0.2657220506419738, 0.0896201331841959, 0.03779331801481368, 0.1413620388844893, 0.21892386039863118, 0.1617796891590669, 0.03209455837661933, -0.14673668141421375, 0.034030221125465776, 0.1553696507721075] |
709.3328 | Gevrey regularity of the global attractor of the 3D Navier-Stokes-Voight
equations | Recently, the Navier-Stokes-Voight (NSV) model of viscoelastic incompressible
fluid has been proposed as a regularization of the 3D Navier-Stokes equations
for the purpose of direct numerical simulations. In this work we prove that the
global attractor of the $D NSV equations, driven by an analytic forcing,
consists of analytic functions. A consequence of this result is that the
spectrum of the solutions of the 3D NSV system, lying on the global attractor,
have exponentially decaying tail, despite the fact that the equations behave
like a damped hyperbolic system, rather than the parabolic one. This result
provides an additional evidence that the 3D NSV with the small regularization
parameter enjoys similar statistical properties as the 3D Navier-Stokes
equations. Finally, we calculate a lower bound for the exponential decaying
scale -- the scale at which the spectrum of the solution start to decay
exponentially, and establish a similar bound for the steady state solutions of
the 3D NSV and 3D Navier-Stokes equations. Our estimate coincides with similar
available lower bound for the smallest dissipation length scale of solutions of
the 3D Navier-Stokes equations.
| math.AP math-ph math.MP | recently the navierstokesvoight nsv model of viscoelastic incompressible fluid has been proposed as a regularization of the 3d navierstokes equations for the purpose of direct numerical simulations in this work we prove that the global attractor of the d nsv equations driven by an analytic forcing consists of analytic functions a consequence of this result is that the spectrum of the solutions of the 3d nsv system lying on the global attractor have exponentially decaying tail despite the fact that the equations behave like a damped hyperbolic system rather than the parabolic one this result provides an additional evidence that the 3d nsv with the small regularization parameter enjoys similar statistical properties as the 3d navierstokes equations finally we calculate a lower bound for the exponential decaying scale the scale at which the spectrum of the solution start to decay exponentially and establish a similar bound for the steady state solutions of the 3d nsv and 3d navierstokes equations our estimate coincides with similar available lower bound for the smallest dissipation length scale of solutions of the 3d navierstokes equations | [['recently', 'the', 'navierstokesvoight', 'nsv', 'model', 'of', 'viscoelastic', 'incompressible', 'fluid', 'has', 'been', 'proposed', 'as', 'a', 'regularization', 'of', 'the', '3d', 'navierstokes', 'equations', 'for', 'the', 'purpose', 'of', 'direct', 'numerical', 'simulations', 'in', 'this', 'work', 'we', 'prove', 'that', 'the', 'global', 'attractor', 'of', 'the', 'd', 'nsv', 'equations', 'driven', 'by', 'an', 'analytic', 'forcing', 'consists', 'of', 'analytic', 'functions', 'a', 'consequence', 'of', 'this', 'result', 'is', 'that', 'the', 'spectrum', 'of', 'the', 'solutions', 'of', 'the', '3d', 'nsv', 'system', 'lying', 'on', 'the', 'global', 'attractor', 'have', 'exponentially', 'decaying', 'tail', 'despite', 'the', 'fact', 'that', 'the', 'equations', 'behave', 'like', 'a', 'damped', 'hyperbolic', 'system', 'rather', 'than', 'the', 'parabolic', 'one', 'this', 'result', 'provides', 'an', 'additional', 'evidence', 'that', 'the', '3d', 'nsv', 'with', 'the', 'small', 'regularization', 'parameter', 'enjoys', 'similar', 'statistical', 'properties', 'as', 'the', '3d', 'navierstokes', 'equations', 'finally', 'we', 'calculate', 'a', 'lower', 'bound', 'for', 'the', 'exponential', 'decaying', 'scale', 'the', 'scale', 'at', 'which', 'the', 'spectrum', 'of', 'the', 'solution', 'start', 'to', 'decay', 'exponentially', 'and', 'establish', 'a', 'similar', 'bound', 'for', 'the', 'steady', 'state', 'solutions', 'of', 'the', '3d', 'nsv', 'and', '3d', 'navierstokes', 'equations', 'our', 'estimate', 'coincides', 'with', 'similar', 'available', 'lower', 'bound', 'for', 'the', 'smallest', 'dissipation', 'length', 'scale', 'of', 'solutions', 'of', 'the', '3d', 'navierstokes', 'equations']] | [-0.13973240393162187, 0.07091672571211044, -0.11178706942074415, 0.0703575065656979, -0.05248115327364455, 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0.16148526824286413] |
709.3329 | Steady-state, effective-temperature dynamics in a glassy material | We present an STZ-based analysis of numerical simulations by Haxton and Liu
(HL). The extensive HL data sharply test the basic assumptions of the STZ
theory, especially the central role played by the effective disorder
temperature as a dynamical state variable. We find that the theory survives
these tests, and that the HL data provide important and interesting constraints
on some of its specific ingredients. Our most surprising conclusion is that,
when driven at various constant shear rates in the low-temperature glassy
state, the HL system exhibits a classic glass transition, including
super-Arrhenius behavior, as a function of the effective temperature.
| cond-mat.soft cond-mat.mtrl-sci | we present an stzbased analysis of numerical simulations by haxton and liu hl the extensive hl data sharply test the basic assumptions of the stz theory especially the central role played by the effective disorder temperature as a dynamical state variable we find that the theory survives these tests and that the hl data provide important and interesting constraints on some of its specific ingredients our most surprising conclusion is that when driven at various constant shear rates in the lowtemperature glassy state the hl system exhibits a classic glass transition including superarrhenius behavior as a function of the effective temperature | [['we', 'present', 'an', 'stzbased', 'analysis', 'of', 'numerical', 'simulations', 'by', 'haxton', 'and', 'liu', 'hl', 'the', 'extensive', 'hl', 'data', 'sharply', 'test', 'the', 'basic', 'assumptions', 'of', 'the', 'stz', 'theory', 'especially', 'the', 'central', 'role', 'played', 'by', 'the', 'effective', 'disorder', 'temperature', 'as', 'a', 'dynamical', 'state', 'variable', 'we', 'find', 'that', 'the', 'theory', 'survives', 'these', 'tests', 'and', 'that', 'the', 'hl', 'data', 'provide', 'important', 'and', 'interesting', 'constraints', 'on', 'some', 'of', 'its', 'specific', 'ingredients', 'our', 'most', 'surprising', 'conclusion', 'is', 'that', 'when', 'driven', 'at', 'various', 'constant', 'shear', 'rates', 'in', 'the', 'lowtemperature', 'glassy', 'state', 'the', 'hl', 'system', 'exhibits', 'a', 'classic', 'glass', 'transition', 'including', 'superarrhenius', 'behavior', 'as', 'a', 'function', 'of', 'the', 'effective', 'temperature']] | [-0.11513240310527144, 0.14072282759528632, -0.14100129239832854, 0.07160985752096455, -0.01804396681865622, -0.14052175533713424, 0.06402066975168072, 0.29163266640931074, -0.21942683131927349, -0.2785440950036639, 0.14022364334023493, -0.2725355997773828, -0.17851218155188725, 0.15650482154866258, -0.00043740049742236, 0.04655860378787309, 0.026709789600416943, 0.018844127859332423, -0.0788832263730577, -0.19711501861456782, 0.3202646490841145, 0.11530422483856725, 0.26976679321055735, 0.06300245136907785, 0.059477390958881465, 0.006379905956714313, 0.005561534868608607, 0.05546549699352224, -0.19713375202285316, 0.01660641139871118, 0.22665761997185574, 0.06072430964098266, 0.24918093680321138, -0.4223148981777785, -0.24403021496600738, 0.022321735109931025, 0.0779823635792415, 0.08813121375520622, -0.09211305329647597, -0.2442531973782853, 0.04211881994684734, -0.13069652105764587, -0.14527314379471262, -0.0986701887409839, 0.04789534829427848, -0.010912865762239193, -0.25006301681704746, 0.11950769141895033, 0.10873419790854907, 0.0673130092713613, -0.06761225968908223, -0.11918771449859153, -0.037529580068018396, 0.11265745648386943, 0.09292113259757435, 0.057889317752479914, 0.1775804777343822, -0.17716581391004643, -0.08566429663338873, 0.36439563697296207, -0.09037800831662601, -0.11041193893916978, 0.2458989817169633, -0.15021661946107404, -0.1821543702274782, 0.09600655157764507, 0.09758466317250375, 0.10459663256043845, -0.11334298331463954, 0.08059541043182282, -0.04037915704665835, 0.16921086979587333, -0.009546027212210073, 0.040433209477047816, 0.21961860760751337, 0.21400045194792203, -0.030600409844134112, 0.1561042117692604, -0.08749792582383102, -0.14526053460886573, -0.32679422067635056, -0.13869713572785258, -0.16565390763859641, 0.05133770893922647, -0.18152465209745836, -0.13932584132999182, 0.3624923664795253, 0.16231598998065508, 0.1940743915153446, 0.02119197950947403, 0.24011351791957375, 0.12159861327208911, 0.014114309693594455, 0.061202060601830775, 0.27472078626759877, 0.14267982040661029, 0.10974224470555782, -0.2761526141029847, 0.07532180171911743, 0.018750159743029883] |
709.333 | Photometric Redshifts and Photometry Errors | We examine the impact of non-Gaussian photometry errors on photometric
redshift performance. We find that they greatly increase the scatter, but this
can be mitigated to some extent by incorporating the correct noise model into
the photometric redshift estimation process. However, the remaining scatter is
still equivalent to that of a much shallower survey with Gaussian photometry
errors. We also estimate the impact of non-Gaussian errors on the spectroscopic
sample size required to verify the photometric redshift rms scatter to a given
precision. Even with Gaussian {\it photometry} errors, photometric redshift
errors are sufficiently non-Gaussian to require an order of magnitude larger
sample than simple Gaussian statistics would indicate. The requirements
increase from this baseline if non-Gaussian photometry errors are included.
Again the impact can be mitigated by incorporating the correct noise model, but
only to the equivalent of a survey with much larger Gaussian photometry errors.
However, these requirements may well be overestimates because they are based on
a need to know the rms, which is particularly sensitive to tails. Other
parametrizations of the distribution may require smaller samples.
| astro-ph | we examine the impact of nongaussian photometry errors on photometric redshift performance we find that they greatly increase the scatter but this can be mitigated to some extent by incorporating the correct noise model into the photometric redshift estimation process however the remaining scatter is still equivalent to that of a much shallower survey with gaussian photometry errors we also estimate the impact of nongaussian errors on the spectroscopic sample size required to verify the photometric redshift rms scatter to a given precision even with gaussian it photometry errors photometric redshift errors are sufficiently nongaussian to require an order of magnitude larger sample than simple gaussian statistics would indicate the requirements increase from this baseline if nongaussian photometry errors are included again the impact can be mitigated by incorporating the correct noise model but only to the equivalent of a survey with much larger gaussian photometry errors however these requirements may well be overestimates because they are based on a need to know the rms which is particularly sensitive to tails other parametrizations of the distribution may require smaller samples | [['we', 'examine', 'the', 'impact', 'of', 'nongaussian', 'photometry', 'errors', 'on', 'photometric', 'redshift', 'performance', 'we', 'find', 'that', 'they', 'greatly', 'increase', 'the', 'scatter', 'but', 'this', 'can', 'be', 'mitigated', 'to', 'some', 'extent', 'by', 'incorporating', 'the', 'correct', 'noise', 'model', 'into', 'the', 'photometric', 'redshift', 'estimation', 'process', 'however', 'the', 'remaining', 'scatter', 'is', 'still', 'equivalent', 'to', 'that', 'of', 'a', 'much', 'shallower', 'survey', 'with', 'gaussian', 'photometry', 'errors', 'we', 'also', 'estimate', 'the', 'impact', 'of', 'nongaussian', 'errors', 'on', 'the', 'spectroscopic', 'sample', 'size', 'required', 'to', 'verify', 'the', 'photometric', 'redshift', 'rms', 'scatter', 'to', 'a', 'given', 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0.2856666715176996, 0.09076903836491207, 0.013800205805131959, -0.18088066724724033, 0.14508496499620377, -0.0767918966180231] |
709.3331 | Parallel TREE code for two-component ultracold plasma analysis | The TREE method has been widely used for long-range interaction {\it N}-body
problems. We have developed a parallel TREE code for two-component classical
plasmas with open boundary conditions and highly non-uniform charge
distributions. The program efficiently handles millions of particles evolved
over long relaxation times requiring millions of time steps. Appropriate domain
decomposition and dynamic data management were employed, and large-scale
parallel processing was achieved using an intermediate level of granularity of
domain decomposition and ghost TREE communication. Even though the
computational load is not fully distributed in fine grains, high parallel
efficiency was achieved for ultracold plasma systems of charged particles. As
an application, we performed simulations of an ultracold neutral plasma with a
half million particles and a half million time steps. For the long temporal
trajectories of relaxation between heavy ions and light electrons, large
configurations of ultracold plasmas can now be investigated, which was not
possible in past studies.
| physics.comp-ph physics.plasm-ph | the tree method has been widely used for longrange interaction it nbody problems we have developed a parallel tree code for twocomponent classical plasmas with open boundary conditions and highly nonuniform charge distributions the program efficiently handles millions of particles evolved over long relaxation times requiring millions of time steps appropriate domain decomposition and dynamic data management were employed and largescale parallel processing was achieved using an intermediate level of granularity of domain decomposition and ghost tree communication even though the computational load is not fully distributed in fine grains high parallel efficiency was achieved for ultracold plasma systems of charged particles as an application we performed simulations of an ultracold neutral plasma with a half million particles and a half million time steps for the long temporal trajectories of relaxation between heavy ions and light electrons large configurations of ultracold plasmas can now be investigated which was not possible in past studies | [['the', 'tree', 'method', 'has', 'been', 'widely', 'used', 'for', 'longrange', 'interaction', 'it', 'nbody', 'problems', 'we', 'have', 'developed', 'a', 'parallel', 'tree', 'code', 'for', 'twocomponent', 'classical', 'plasmas', 'with', 'open', 'boundary', 'conditions', 'and', 'highly', 'nonuniform', 'charge', 'distributions', 'the', 'program', 'efficiently', 'handles', 'millions', 'of', 'particles', 'evolved', 'over', 'long', 'relaxation', 'times', 'requiring', 'millions', 'of', 'time', 'steps', 'appropriate', 'domain', 'decomposition', 'and', 'dynamic', 'data', 'management', 'were', 'employed', 'and', 'largescale', 'parallel', 'processing', 'was', 'achieved', 'using', 'an', 'intermediate', 'level', 'of', 'granularity', 'of', 'domain', 'decomposition', 'and', 'ghost', 'tree', 'communication', 'even', 'though', 'the', 'computational', 'load', 'is', 'not', 'fully', 'distributed', 'in', 'fine', 'grains', 'high', 'parallel', 'efficiency', 'was', 'achieved', 'for', 'ultracold', 'plasma', 'systems', 'of', 'charged', 'particles', 'as', 'an', 'application', 'we', 'performed', 'simulations', 'of', 'an', 'ultracold', 'neutral', 'plasma', 'with', 'a', 'half', 'million', 'particles', 'and', 'a', 'half', 'million', 'time', 'steps', 'for', 'the', 'long', 'temporal', 'trajectories', 'of', 'relaxation', 'between', 'heavy', 'ions', 'and', 'light', 'electrons', 'large', 'configurations', 'of', 'ultracold', 'plasmas', 'can', 'now', 'be', 'investigated', 'which', 'was', 'not', 'possible', 'in', 'past', 'studies']] | [-0.1292747268529329, 0.19807010280298223, -0.05457813452984042, 0.060764812119457313, -0.018573428172423363, -0.14279587942120783, 0.014687037768049372, 0.42010605595762435, -0.25969064172990375, -0.35642042924083916, 0.08402462854899247, -0.23410805904122337, -0.006897942867629181, 0.17905250100382403, 0.019448395191503116, 0.12331881080114958, 0.1327471695870794, -0.030127607345325397, -0.0033439561390634504, -0.27388101621847477, 0.22261167290465286, 0.10142634816930379, 0.27461092633018697, 0.05408183089723762, 0.13299346357367908, 0.010999060738101309, -0.029140189938320248, 0.02595520917983616, -0.06584890091885338, 0.07142931852014918, 0.2457913192056783, 0.09134735543816502, 0.262071574630301, -0.5155234824184304, -0.2391814646399367, 0.09115351490475529, 0.20576904833109844, 0.13210708235795274, -0.05728418501763562, -0.23902543495999637, 0.05516039462778352, -0.14980791997487103, -0.12045637131029484, -0.07461033409820517, 0.03974024169268756, 0.010030279897786433, -0.26487801831483454, 0.0617631624629295, 0.0051803958398332585, 0.08913014518641836, -0.0465770258623011, -0.1089161487366225, 0.03316826824999713, 0.10881536699651917, -0.0031307608367010854, 0.0351509530490243, 0.15432018108264195, -0.10332356167811096, -0.14202575770882414, 0.3790591586551635, -0.05371838412551952, -0.17795838172748393, 0.2508273132273233, -0.10637947013206, -0.11745897050660858, 0.19112763661599041, 0.19289944526051578, 0.16308643627497885, -0.20229116424589472, 0.08088545316869844, -0.024222457261749975, 0.18821218582722388, 0.1039838101836591, -0.0027287329708414725, 0.22069439060188636, 0.22251487224441924, 0.01698819478955485, 0.13585335537836904, -0.09208517303331558, -0.11643968817809888, -0.1839056515067913, -0.16606955730593673, -0.17650515503353542, -0.007894415155569018, -0.07997736248915888, -0.16381677365831399, 0.3661255347694642, 0.11577823993961442, 0.1403463328245029, -0.028611400975005738, 0.30953469014197005, 0.06757255042735731, 0.09038486857776792, 0.12341791522549161, 0.16802946905897675, 0.10625441971819337, 0.16153181404761022, -0.20436111790450667, 0.03042489692897481, 0.020969499620834206] |
709.3332 | Probing the Efficiency of Electron-Proton Coupling in Relativistic
Collisionless Shocks through the Radio Polarimetry of Gamma-Ray Burst
Afterglows | The late-time optical/radio afterglows of $\gamma$-ray bursts (GRBs) are
believed to be synchrotron emission of electrons accelerated in relativistic
collisionless shocks propagating in the ambient medium of the sources. However,
the fraction $f$ of electrons that are coupled to protons and accelerated
remains unclear and a large number of thermal electrons that are not coupled to
protons may be left behind. If $f<1$, the true explosion energies of GRBs are
$f^{-1}$ times larger than those commonly estimated with $f=1$. Thus the value
of $f$ gives an important constraint on the nature of the central engine of
GRBs and the physics of collisionless shocks. Although early-time radio
observations can probe the thermal electrons, they are difficult at present. We
show that the Faraday rotation effects of the thermal electrons may suppress
the linear polarization of the afterglow at frequencies higher than the
absorption frequency in the late time, if the magnetic field is ordered at
least in parts, and that $f$ can be constrained through the observation of the
effects. We find that those effects may be detected with late-time, > 1 day,
polarimetry with ALMA for a burst occurring within 1 Gpc (i.e., z ~ 0.2), if $f
\sim 10^{-1}$.
| astro-ph | the latetime opticalradio afterglows of gammaray bursts grbs are believed to be synchrotron emission of electrons accelerated in relativistic collisionless shocks propagating in the ambient medium of the sources however the fraction f of electrons that are coupled to protons and accelerated remains unclear and a large number of thermal electrons that are not coupled to protons may be left behind if f1 the true explosion energies of grbs are f1 times larger than those commonly estimated with f1 thus the value of f gives an important constraint on the nature of the central engine of grbs and the physics of collisionless shocks although earlytime radio observations can probe the thermal electrons they are difficult at present we show that the faraday rotation effects of the thermal electrons may suppress the linear polarization of the afterglow at frequencies higher than the absorption frequency in the late time if the magnetic field is ordered at least in parts and that f can be constrained through the observation of the effects we find that those effects may be detected with latetime 1 day polarimetry with alma for a burst occurring within 1 gpc ie z 02 if f sim 101 | [['the', 'latetime', 'opticalradio', 'afterglows', 'of', 'gammaray', 'bursts', 'grbs', 'are', 'believed', 'to', 'be', 'synchrotron', 'emission', 'of', 'electrons', 'accelerated', 'in', 'relativistic', 'collisionless', 'shocks', 'propagating', 'in', 'the', 'ambient', 'medium', 'of', 'the', 'sources', 'however', 'the', 'fraction', 'f', 'of', 'electrons', 'that', 'are', 'coupled', 'to', 'protons', 'and', 'accelerated', 'remains', 'unclear', 'and', 'a', 'large', 'number', 'of', 'thermal', 'electrons', 'that', 'are', 'not', 'coupled', 'to', 'protons', 'may', 'be', 'left', 'behind', 'if', 'f1', 'the', 'true', 'explosion', 'energies', 'of', 'grbs', 'are', 'f1', 'times', 'larger', 'than', 'those', 'commonly', 'estimated', 'with', 'f1', 'thus', 'the', 'value', 'of', 'f', 'gives', 'an', 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709.3333 | Viscosity of Earth's Outer Core | A viscosity profile across the entire fluid outer core is found by
interpolating between measured boundary values, using a differential form of
the Arrhenius law governing pressure and temperature dependence. The discovery
that both the retrograde and prograde free core nutations are in free decay
(Palmer and Smylie, 2005) allows direct measures of viscosity at the top of the
outer core, while the reduction in the rotational splitting of the two
equatorial translational modes of the inner core allows it to be measured at
the bottom. We find 2,371 plus/minus 1,530 Pa.s at the top and 1.247 plus/minus
0.035 x 10^11 Pa.s at the bottom. Following Brazhkin (1998) and Brazhkin and
Lyapin (2000) who get 10^2 Pa.s at the top, 10^11 Pa.s at the bottom, by an
Arrhenius extrapolation of laboratory experiments, we use a differential form
of the Arrhenius law to interpolate along the melting temperature curve to find
a viscosity profile across the outer core. We find the variation to be closely
log-linear between the measured boundary values. The close agreement of the
boundary values of viscosity, found by Arrhenius extrapolation of laboratory
experiments, with those found from the free core nutations, and the inner core
translational modes, suggests that core flows are laminar and that the returned
viscosities are measures of their molecular values. This would not be the case
in the presence of the vigorous turbulent convection sometimes postulated by
dynamo theorists. The local Ekman number is found to range from 10^-2 at the
bottom of the outer core to 10^-10 at the top. Except in the very lower part of
the outer core, Ekman numbers are in the range 10^-4 to 10^-5, or below, in
which the laminar flows of numerical dynamos and laboratory rotating fluids
experiments occur.
| physics.geo-ph | a viscosity profile across the entire fluid outer core is found by interpolating between measured boundary values using a differential form of the arrhenius law governing pressure and temperature dependence the discovery that both the retrograde and prograde free core nutations are in free decay palmer and smylie 2005 allows direct measures of viscosity at the top of the outer core while the reduction in the rotational splitting of the two equatorial translational modes of the inner core allows it to be measured at the bottom we find 2371 plusminus 1530 pas at the top and 1247 plusminus 0035 x 1011 pas at the bottom following brazhkin 1998 and brazhkin and lyapin 2000 who get 102 pas at the top 1011 pas at the bottom by an arrhenius extrapolation of laboratory experiments we use a differential form of the arrhenius law to interpolate along the melting temperature curve to find a viscosity profile across the outer core we find the variation to be closely loglinear between the measured boundary values the close agreement of the boundary values of viscosity found by arrhenius extrapolation of laboratory experiments with those found from the free core nutations and the inner core translational modes suggests that core flows are laminar and that the returned viscosities are measures of their molecular values this would not be the case in the presence of the vigorous turbulent convection sometimes postulated by dynamo theorists the local ekman number is found to range from 102 at the bottom of the outer core to 1010 at the top except in the very lower part of the outer core ekman numbers are in the range 104 to 105 or below in which the laminar flows of numerical dynamos and laboratory rotating fluids experiments occur | [['a', 'viscosity', 'profile', 'across', 'the', 'entire', 'fluid', 'outer', 'core', 'is', 'found', 'by', 'interpolating', 'between', 'measured', 'boundary', 'values', 'using', 'a', 'differential', 'form', 'of', 'the', 'arrhenius', 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709.3334 | Mistake Analyses on Proof about Perfect Secrecy of One-time-pad | This paper has been withdrawn
| cs.CR | this paper has been withdrawn | [['this', 'paper', 'has', 'been', 'withdrawn']] | [-0.14966976195573806, -0.11479587350040674, -0.26925536394119265, -0.2174653896363452, -0.24278417900204657, -0.06483052410185337, -0.18645338097121567, 0.4360402226448059, -0.2831330731511116, -0.34362963438034055, 0.12004837393760681, -0.3683081828057766, -0.1602430183440447, -0.10558439195156097, -0.49794104844331744, 0.22114052325487138, 0.020489710569381713, -0.13509191051125527, -0.003394755348563194, -0.4261150062084198, 0.24723864942789078, 0.20099691897630692, 0.29493145644664764, 0.43429074883461, 0.01915901619940996, -0.230447637476027, -0.11513714343309403, 0.020372361689805985, -0.20633925572037698, 0.044814842939376834, 0.2428473174571991, 0.019041498890146613, 0.6547030150890351, -0.4033622771501541, -0.3201997369527817, 0.3520198702812195, 0.42603884935379027, 0.23336923271417617, -0.27920777946710584, -0.36215683072805405, 0.36309435218572617, -0.5702161848545074, -0.1315121427178383, 0.06789367422461509, 0.22953803576529025, -0.3321428090333939, 0.017446409910917282, -0.028199871815741063, 0.24563229084014893, 0.3347385682165623, 0.15144075378775596, -0.2489987626671791, 0.17282117679715156, 0.24701693132519723, 0.3440325528383255, 0.20867147911339998, -0.13285142406821251, 0.07563621033914388, -0.044104534387588504, 0.3356690138578415, 0.23557274155318736, -0.24962785169482232, 0.046857850253582, 0.04556192234158516, -0.26518367901444434, 0.15704565420746802, 0.21749483253806828, 0.11799136139452457, -0.5040611356496811, 0.422764346562326, -0.18172579109668732, 0.19774497151374817, 0.28551970086991785, -0.06363286226987838, 0.07455872595310212, 0.30426284223794936, -0.09061564113944769, 0.28927659466862676, -0.06672459170222282, 0.09313873648643493, -0.03926684409379959, -0.2222803145647049, -0.3248200133442879, 0.10310854855924845, 0.5389873318374157, -0.09992984607815743, 0.42208007872104647, 0.27619058787822726, 0.03591356128454208, -0.16131918579339982, 0.3660829946398735, 0.27453771883156153, 0.06713124886155128, -0.09843106493353844, 0.49104041904211043, 0.10996200516819954, 0.28820077180862425, 0.10187920853495598, 0.42227696925401687, 0.2043190725147724] |
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