id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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709.3335 | The quest for three-color entanglement: experimental investigation of
new multipartite quantum correlations | We experimentally investigate quadrature correlations between pump, signal,
and idler fields in an above-threshold optical parametric oscillator. We
observe new quantum correlations among the pump and signal or idler beams, as
well as among the pump and a combined quadrature of signal and idler beams. A
further investigation of unforeseen classical noise observed in this system is
presented, which hinders the observation of the recently predicted tripartite
entanglement. In spite of this noise, current results approach the limit
required to demonstrate three-color entanglement.
| quant-ph physics.optics | we experimentally investigate quadrature correlations between pump signal and idler fields in an abovethreshold optical parametric oscillator we observe new quantum correlations among the pump and signal or idler beams as well as among the pump and a combined quadrature of signal and idler beams a further investigation of unforeseen classical noise observed in this system is presented which hinders the observation of the recently predicted tripartite entanglement in spite of this noise current results approach the limit required to demonstrate threecolor entanglement | [['we', 'experimentally', 'investigate', 'quadrature', 'correlations', 'between', 'pump', 'signal', 'and', 'idler', 'fields', 'in', 'an', 'abovethreshold', 'optical', 'parametric', 'oscillator', 'we', 'observe', 'new', 'quantum', 'correlations', 'among', 'the', 'pump', 'and', 'signal', 'or', 'idler', 'beams', 'as', 'well', 'as', 'among', 'the', 'pump', 'and', 'a', 'combined', 'quadrature', 'of', 'signal', 'and', 'idler', 'beams', 'a', 'further', 'investigation', 'of', 'unforeseen', 'classical', 'noise', 'observed', 'in', 'this', 'system', 'is', 'presented', 'which', 'hinders', 'the', 'observation', 'of', 'the', 'recently', 'predicted', 'tripartite', 'entanglement', 'in', 'spite', 'of', 'this', 'noise', 'current', 'results', 'approach', 'the', 'limit', 'required', 'to', 'demonstrate', 'threecolor', 'entanglement']] | [-0.15208334506051727, 0.18140399640202326, -0.07141109315835568, 0.051059978720956446, 0.005858879424182765, -0.16362658683883857, 0.08322981432506657, 0.43306772980883895, -0.24136275457532472, -0.28786950298102504, 0.005665346383992358, -0.27152131881609737, -0.14260076120192836, 0.2246607058732041, -0.02878949937623847, 0.12906926557251971, 0.03216328273291688, -0.022002482396853436, 0.005826743165345256, -0.16775409350485868, 0.2394284011546455, 0.056490581772985854, 0.3543992802354855, 0.02574048797790724, 0.145050503515515, 0.017475356053314114, -0.028518854763852543, -0.10663813833955181, -0.0633459429941084, 0.04918324026133282, 0.25746170502995475, 0.08217624791319965, 0.24159324891775488, -0.3794492534081261, -0.2176698530205043, 0.16624116409480214, 0.14697810450950302, 0.19510499493875372, -0.04276543533070439, -0.3459075827555484, -0.04255322472427983, -0.14313113679884967, -0.05821582565016775, -0.11329364068581756, -0.02553768091868744, 0.06080264461237982, -0.29901150008102495, 0.09603972341977508, 0.08928581691593919, 0.09236803861806192, 0.026970511279910445, -0.034719682420626376, -0.019105418756357337, 0.045012889960107494, -0.005727659212425351, -0.018550989526626933, 0.11196643562499344, -0.174172216023498, -0.16284102195851416, 0.3407552019203452, -0.08959848617472832, -0.1285791996395193, 0.13340486561408244, -0.2135277620196926, -0.02800257680152195, 0.126132399584335, 0.15973013530047722, 0.044611273855195345, -0.10924494347299438, -0.041889413711558805, 0.01673612290578165, 0.2403320738518364, 0.1434903154542378, 0.18653637594936123, 0.2126550153346665, 0.1148056605583932, 0.04156721373234527, 0.24148563668973386, -0.12621830038008203, -0.0654617498224848, -0.3024593013596822, -0.1255664041031612, -0.2292960889143757, 0.020174946966973775, -0.04276871998129547, -0.07523190223398697, 0.42715771497979044, 0.19432439490330844, 0.14951052940843335, -0.037958182609101464, 0.34974381969456214, 0.1668609728369054, 0.00011628168264785444, -0.018786504191447454, 0.33224287438374683, 0.23012266571756945, 0.11936259447002268, -0.2756330721944301, -0.019831902412024427, -0.06924873297046645] |
709.3336 | The Variable Warm Absorber in Circinus X-1 | We observed Circinus X-1 twice during a newly reached low-flux phase near
zero orbital phase using the High-Energy Transmission Grating Spectrometer
(HETGS) onboard Chandra. In both observations the source did not show the P
Cygni lines we observed during the high-flux phases of the source in 2000 and
2001. During pre-zero phase the source did not exhibit significant variability
and exhibited an emission-line spectrum rich in H- and He-like lines from high
Z elements such as Si, S, Ar, and Ca. We analyzed all high resolution X-ray
spectra by fitting photoionization and absorption models from the most recent
version of the XSTAR code. The pre-zero phase spectrum could be fully modeled
with a very hot photoionized plasma with an ionization parameter of log xi =
3.0. Post-zero phase episodes feature absorbers with variable high columns,
ionization parameter, and luminosity. While cold absorption remains at levels
quite similar to the one observed in previous years, the new observations show
unprecedented levels of variable warm absorption. The line emissivities also
indicate that the observed low source luminosity is inconsistent with a static
hot accretion disk corona (ADC), an effect that seems common to other near
edge-on ADC sources as well. We conclude that unless there exists some means of
coronal heating other than X-rays, the true source luminosity is likely much
higher and we observe obscuration in analogy to the extragalactic Seyfert II
sources. We discuss possible consequences and relate cold, luke-warm, warm, and
hot absorbers to dynamic accretion scenarios.
| astro-ph | we observed circinus x1 twice during a newly reached lowflux phase near zero orbital phase using the highenergy transmission grating spectrometer hetgs onboard chandra in both observations the source did not show the p cygni lines we observed during the highflux phases of the source in 2000 and 2001 during prezero phase the source did not exhibit significant variability and exhibited an emissionline spectrum rich in h and helike lines from high z elements such as si s ar and ca we analyzed all high resolution xray spectra by fitting photoionization and absorption models from the most recent version of the xstar code the prezero phase spectrum could be fully modeled with a very hot photoionized plasma with an ionization parameter of log xi 30 postzero phase episodes feature absorbers with variable high columns ionization parameter and luminosity while cold absorption remains at levels quite similar to the one observed in previous years the new observations show unprecedented levels of variable warm absorption the line emissivities also indicate that the observed low source luminosity is inconsistent with a static hot accretion disk corona adc an effect that seems common to other near edgeon adc sources as well we conclude that unless there exists some means of coronal heating other than xrays the true source luminosity is likely much higher and we observe obscuration in analogy to the extragalactic seyfert ii sources we discuss possible consequences and relate cold lukewarm warm and hot absorbers to dynamic accretion scenarios | [['we', 'observed', 'circinus', 'x1', 'twice', 'during', 'a', 'newly', 'reached', 'lowflux', 'phase', 'near', 'zero', 'orbital', 'phase', 'using', 'the', 'highenergy', 'transmission', 'grating', 'spectrometer', 'hetgs', 'onboard', 'chandra', 'in', 'both', 'observations', 'the', 'source', 'did', 'not', 'show', 'the', 'p', 'cygni', 'lines', 'we', 'observed', 'during', 'the', 'highflux', 'phases', 'of', 'the', 'source', 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0.0977268784347975, -0.016399203483816845] |
709.3337 | Polynomial Fusion Rings of Logarithmic Minimal Models | We identify quotient polynomial rings isomorphic to the recently found
fundamental fusion algebras of logarithmic minimal models.
| hep-th math-ph math.MP | we identify quotient polynomial rings isomorphic to the recently found fundamental fusion algebras of logarithmic minimal models | [['we', 'identify', 'quotient', 'polynomial', 'rings', 'isomorphic', 'to', 'the', 'recently', 'found', 'fundamental', 'fusion', 'algebras', 'of', 'logarithmic', 'minimal', 'models']] | [-0.14656303603859508, -0.017227352268117314, -0.06630046950543628, 0.13098152057500556, -0.09884619203341358, -0.22798391990363598, -0.11575781498344012, 0.31388463049798326, -0.501188084264012, -0.16102938373189637, 0.054379964986925614, -0.2188800836858504, -0.17680621344377012, 0.12614788816255681, -0.19169223626308582, 0.05483735484235427, 0.02323895347688128, 0.184091722154442, -0.12157573287977892, -0.39246222705525513, 0.3573657061685534, 0.06170669662327889, 0.28091636037125306, 0.05101276961538721, 0.10107371638364651, -0.07480541504371692, -0.11944989980581928, -0.05858198750544997, -0.28420187357593985, 0.0975315730799647, 0.346701657080463, -0.003292060292818967, 0.17466263553155037, -0.3691498628434013, -0.09389994775547701, 0.3110664155991638, 0.2401137973236687, -0.028400495812735137, -0.03331288311849622, -0.20077854833182165, 0.11504688708330779, -0.2643523397033705, -0.12387324195793446, -0.13133171189795523, 0.12856176944778247, -0.03582145251771983, -0.22163782707032034, 0.004881591700455721, 0.05529023230294971, 0.12605412413968758, -0.09220194904243245, -0.06986756042084273, -0.11449353511938277, -0.0021184266764013204, -0.08560164338525604, -0.022365693139898425, 0.11421366405728109, -0.1023625552873401, -0.2550593511584927, 0.37292808403863625, -0.003022654091610628, -0.14235261148389647, 0.18518254160881042, -0.18858748526476762, -0.20338760009583304, 0.10830082196523161, 0.054304333787192315, 0.1451434203533127, -0.03862905885805102, 0.20180040860877319, -0.17257791993153446, -0.00047372478772612176, 0.14273166355183897, 0.02561808914384421, 0.127974870012087, 0.08555629082462367, -0.0029535184559576653, 0.18494038075646935, 0.05773506532697117, -0.08103761389194165, -0.34382137480904074, -0.10852837589952875, 0.010579797713195576, 0.07976489273064277, -0.08266207827802967, -0.1636471579070477, 0.39486209286705537, 0.0934678596608779, 0.15441261757822597, 0.08275317778701291, 0.1940764144939535, 0.06038875910727417, 0.28548944368958473, 0.04100227202562725, 0.15326983922654214, 0.3205884726827635, -0.15456431063220782, -0.14289122951381347, -0.04457718355800299, 0.2636246036957292] |
709.3338 | The Classification of Higher Order Modular Forms and their Cohomology | We construct bases for the spaces of higher order modular forms of all orders
and weights. We also provide a cohomological interpretation of these forms.
| math.NT | we construct bases for the spaces of higher order modular forms of all orders and weights we also provide a cohomological interpretation of these forms | [['we', 'construct', 'bases', 'for', 'the', 'spaces', 'of', 'higher', 'order', 'modular', 'forms', 'of', 'all', 'orders', 'and', 'weights', 'we', 'also', 'provide', 'a', 'cohomological', 'interpretation', 'of', 'these', 'forms']] | [-0.18629178181290626, 0.07038515707477927, -0.10445279188454151, 0.11317009594291448, -0.10034691693261266, -0.017574180234223604, 0.0053505093231797215, 0.3507057291269302, -0.274338546693325, -0.2428248219192028, 0.1142131520807743, -0.22095008585602044, -0.21039947643876075, 0.22955812618136406, -0.011957096122205257, 0.00773371621966362, -0.01910211555659771, 0.08094239696045406, -0.17600419169291853, -0.3585117199271917, 0.4858650827407837, -0.024592985808849336, 0.18709553346037866, 0.0007726274430751801, 0.14125365864369088, -0.010173469576984643, -0.03514583557844162, -0.039469906091690064, -0.19120905555784704, 0.3069312532246113, 0.2963296888768673, 0.08215361565351487, 0.19528991408646107, -0.4157404148578644, -0.12289492961019277, 0.15893698986619711, 0.09774878572672606, 0.0785737556219101, 0.010913552641868591, -0.20153171688318253, 0.10948144621215761, -0.22189405262470246, -0.13909730985760688, -0.25894558653235433, 0.005904164761304855, -0.004289458505809307, -0.30591926917433737, -0.011397617432521656, 0.08103367306292057, 0.11630469493567944, -0.18328182213008404, -0.16867230918258427, -0.004608423691242933, 0.12513210313394665, -0.07046362896915526, -0.045203330982476475, 0.012242561876773835, -0.12379966147243976, -0.19715066909790038, 0.3161951319873333, -0.004226079233922065, -0.22593815818428994, 0.1941164591908455, -0.17628080200403928, -0.18005206760019063, 0.08173093188554048, 0.11298423290252685, 0.12023802809417247, -0.010724081136286258, 0.057778028061147776, -0.03465172573924065, 0.10229384943842888, 0.15290498752146958, 0.12469437580555677, 0.1325642122514546, 0.07582023967057466, 0.07455617412924767, 0.16058833479881288, 0.006662907134741544, -0.01967515504686162, -0.3792549254000187, -0.2680211317539215, -0.024138318342156708, 0.061499535143375396, -0.1562536104762694, -0.17754642009735108, 0.4344308952242136, 0.14854814492166044, 0.21462656490504742, 0.1557369539886713, 0.1914478350803256, 0.13962835125625134, 0.1171120447665453, 0.04390149559825659, 0.13593926131725312, 0.1649578633159399, -0.015920715141110122, -0.03548147860914469, -0.00021027123555541038, 0.16727346774190666] |
709.3339 | On posterior distribution of Bayesian wavelet thresholding | We investigate the posterior rate of convergence for wavelet shrinkage using
a Bayesian approach in general Besov spaces. Instead of studying the Bayesian
estimator related to a particular loss function, we focus on the posterior
distribution itself from a nonparametric Bayesian asymptotics point of view and
study its rate of convergence. We obtain the same rate as in
\citet{abramovich04} where the authors studied the convergence of several
Bayesian estimators.
| math.ST stat.TH | we investigate the posterior rate of convergence for wavelet shrinkage using a bayesian approach in general besov spaces instead of studying the bayesian estimator related to a particular loss function we focus on the posterior distribution itself from a nonparametric bayesian asymptotics point of view and study its rate of convergence we obtain the same rate as in citetabramovich04 where the authors studied the convergence of several bayesian estimators | [['we', 'investigate', 'the', 'posterior', 'rate', 'of', 'convergence', 'for', 'wavelet', 'shrinkage', 'using', 'a', 'bayesian', 'approach', 'in', 'general', 'besov', 'spaces', 'instead', 'of', 'studying', 'the', 'bayesian', 'estimator', 'related', 'to', 'a', 'particular', 'loss', 'function', 'we', 'focus', 'on', 'the', 'posterior', 'distribution', 'itself', 'from', 'a', 'nonparametric', 'bayesian', 'asymptotics', 'point', 'of', 'view', 'and', 'study', 'its', 'rate', 'of', 'convergence', 'we', 'obtain', 'the', 'same', 'rate', 'as', 'in', 'citetabramovich04', 'where', 'the', 'authors', 'studied', 'the', 'convergence', 'of', 'several', 'bayesian', 'estimators']] | [-0.031173170092241728, -0.053799975601791894, -0.16112508409766152, 0.15210711136323346, -0.04055619762306485, -0.06091477832866504, 0.10933049795601298, 0.38519107333987074, -0.3132309489061727, -0.20966200705836802, 0.16280360132633873, -0.21295428287018747, -0.14796161825549514, 0.18075895683346865, -0.10758654497262529, 0.1319061692466836, 0.03358651580535533, 0.021427850992254475, -0.15520779948393978, -0.26547796154559095, 0.3195577807560125, 0.10207379969549091, 0.3290566341191366, -0.06257679722929264, 0.11752263593542225, 0.042239465901409, -0.061154587125843936, -0.04269749517826473, -0.24808907226029345, 0.15774566066615722, 0.21250281966743334, 0.1784408487009761, 0.4170528219273204, -0.3005361885708921, -0.2164284260258736, 0.14186584501636818, 0.16729005423429258, 0.05741492984816432, -0.046935908231021395, -0.25099192302235784, 0.05039105784860166, -0.1765789343865917, -0.08351084233864266, -0.09470434102695435, -0.08855879736845107, 0.07894903334775283, -0.3582789922811036, 0.1476380503462518, 0.05569488772615681, 0.0777224495267386, -0.06644776167163133, -0.1373501906003666, 0.014753940624787527, 0.075169207274859, 0.1170112932963735, 0.0007232408320038196, 0.11857572324601386, -0.13735803778228514, -0.0905426417970482, 0.2786391138592187, -0.08417490996961373, -0.23393989283153238, 0.12000122084967135, -0.16942317957770736, -0.1723100858507678, 0.07893194290740854, 0.25273840577574447, 0.1910518041729708, -0.17852025511948502, 0.10246599325824611, -0.036556138153708374, 0.08188826958041104, 0.051228249034679985, 0.010627632040482508, 0.12182597429765497, 0.20477946889792187, 0.11856736678301412, 0.17671173478148, -0.15391565487131148, -0.1415335462002344, -0.30536290690960255, -0.13916191171087763, -0.24642861822126982, 0.014198552721234806, -0.1808465936823375, -0.219711460008779, 0.40721045976833387, 0.1872920715250075, 0.22272546246976538, 0.14741191808956072, 0.2459327211493955, 0.13662891399272828, -0.03899506208322504, 0.08053354630657636, 0.23585748310913057, 0.1687447580625303, 0.03982307186678929, -0.1570106081712498, 0.12587091787581278, 0.09180554364095717] |
709.334 | Flow Field Evolution of a Decaying Sunspot | We study the evolution of the flows and horizontal proper motions in and
around a decaying follower sunspot based on time sequences of two-dimensional
spectroscopic observations in the visible and white light imaging data obtained
over six days from June~7 to~12, 2005. During this time period the sunspot
decayed gradually to a pore. The spectroscopic observations were obtained with
the Fabry-P\'{e}rot based Visible-Light Imaging Magnetograph (VIM) in
conjunction with the high-order adaptive optics (AO) system operated at the 65
cm vacuum reflector of the Big Bear Solar Observatory (BBSO). We apply local
correlation tracking (LCT) to the speckle reconstructed time sequences of
white-light images around 600 nm to infer horizontal proper motions while the
Doppler shifts of the scanned \FeI line at 630.15 nm are used to calculate
line-of-sight (LOS) velocities with sub-arcsecond resolution. We find that the
dividing line between radial inward and outward proper motions in the inner and
outer penumbra, respectively, survives the decay phase. In particular the moat
flow is still detectable after the penumbra disappeared. Based on our
observations three major processes removed flux from the sunspot: (a)
fragmentation of the umbra, (b) flux cancelation of moving magnetic features
(MMFs; of the same polarity as the sunspot) that encounter the leading opposite
polarity network and plages areas, and (c) flux transport by MMFs (of the same
polarity as the sunspot) to the surrounding network and plage regions that have
the same polarity as the sunspot.
| astro-ph | we study the evolution of the flows and horizontal proper motions in and around a decaying follower sunspot based on time sequences of twodimensional spectroscopic observations in the visible and white light imaging data obtained over six days from june7 to12 2005 during this time period the sunspot decayed gradually to a pore the spectroscopic observations were obtained with the fabryperot based visiblelight imaging magnetograph vim in conjunction with the highorder adaptive optics ao system operated at the 65 cm vacuum reflector of the big bear solar observatory bbso we apply local correlation tracking lct to the speckle reconstructed time sequences of whitelight images around 600 nm to infer horizontal proper motions while the doppler shifts of the scanned fei line at 63015 nm are used to calculate lineofsight los velocities with subarcsecond resolution we find that the dividing line between radial inward and outward proper motions in the inner and outer penumbra respectively survives the decay phase in particular the moat flow is still detectable after the penumbra disappeared based on our observations three major processes removed flux from the sunspot a fragmentation of the umbra b flux cancelation of moving magnetic features mmfs of the same polarity as the sunspot that encounter the leading opposite polarity network and plages areas and c flux transport by mmfs of the same polarity as the sunspot to the surrounding network and plage regions that have the same polarity as the sunspot | [['we', 'study', 'the', 'evolution', 'of', 'the', 'flows', 'and', 'horizontal', 'proper', 'motions', 'in', 'and', 'around', 'a', 'decaying', 'follower', 'sunspot', 'based', 'on', 'time', 'sequences', 'of', 'twodimensional', 'spectroscopic', 'observations', 'in', 'the', 'visible', 'and', 'white', 'light', 'imaging', 'data', 'obtained', 'over', 'six', 'days', 'from', 'june7', 'to12', '2005', 'during', 'this', 'time', 'period', 'the', 'sunspot', 'decayed', 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'survives', 'the', 'decay', 'phase', 'in', 'particular', 'the', 'moat', 'flow', 'is', 'still', 'detectable', 'after', 'the', 'penumbra', 'disappeared', 'based', 'on', 'our', 'observations', 'three', 'major', 'processes', 'removed', 'flux', 'from', 'the', 'sunspot', 'a', 'fragmentation', 'of', 'the', 'umbra', 'b', 'flux', 'cancelation', 'of', 'moving', 'magnetic', 'features', 'mmfs', 'of', 'the', 'same', 'polarity', 'as', 'the', 'sunspot', 'that', 'encounter', 'the', 'leading', 'opposite', 'polarity', 'network', 'and', 'plages', 'areas', 'and', 'c', 'flux', 'transport', 'by', 'mmfs', 'of', 'the', 'same', 'polarity', 'as', 'the', 'sunspot', 'to', 'the', 'surrounding', 'network', 'and', 'plage', 'regions', 'that', 'have', 'the', 'same', 'polarity', 'as', 'the', 'sunspot']] | [-0.10888341996062811, 0.16845730832918202, -0.0388064089632558, 0.0429966196858141, -0.06553506140086356, -0.07590783210705078, 0.020142817644136432, 0.4545872616406265, -0.23669948782693892, -0.3367237175803117, 0.10135140023866443, -0.27153237694757504, -0.08142838022714505, 0.18379915460445392, -0.05966264394084654, -0.0056435392027775364, 0.13394380281542947, -0.01143775876172113, -0.01815599068379708, -0.1786339033003429, 0.2386974552295572, 0.08336895661600027, 0.24441112478548138, -0.036902669001814895, 0.07936619311411841, -0.07710218756112842, -0.10137035517924597, 0.0312881069657272, -0.10288928649589789, 0.06160969961805768, 0.18677634231855306, 0.08076492527102326, 0.23241563056591727, -0.4381499168712443, -0.19842760570378484, 0.0015492972895448489, 0.1793802595564854, 0.010906152414532074, -0.0060849317259868314, -0.3404491360427882, 0.04971522744306632, -0.04853180797466673, -0.12226969316391328, 0.07760319656353429, 0.04029036688405989, 0.027197065584655757, -0.22915224804909254, 0.0806412220305167, 0.003383693522988004, 0.1864761991141886, -0.11383835641885465, -0.07288131132920635, -0.09632016565440277, 0.1833845875985827, 0.06966262059500558, 0.054776271163178104, 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709.3341 | The QCD potential | After reviewing the definition of the heavy quark-antiquark potential in
pNRQCD, we discuss recent advances in the calculation.
| hep-ph | after reviewing the definition of the heavy quarkantiquark potential in pnrqcd we discuss recent advances in the calculation | [['after', 'reviewing', 'the', 'definition', 'of', 'the', 'heavy', 'quarkantiquark', 'potential', 'in', 'pnrqcd', 'we', 'discuss', 'recent', 'advances', 'in', 'the', 'calculation']] | [-0.07704067685537869, 0.1733526050940984, -0.07570926213843955, 0.0355299238063809, 0.020040254419048626, -0.0329421724503239, 0.05976189380615122, 0.335611822290553, -0.15411378849401242, -0.227631331110994, -0.013518124598906271, -0.32397980196401477, -0.12448010469476382, 0.10858354200091627, -0.05973887557370795, 0.07881837234728867, 0.09152557897484964, 0.03615833901696735, -0.21513928359167445, -0.2720515138159196, 0.3697083360619015, 0.019099126466446452, 0.22448954172432423, 0.2729819383886125, -0.027414841060009267, 0.16218646923597488, -0.1766628386038873, -0.07245510299172667, -0.1384247988462448, 0.15691717056971458, 0.13250573258846998, 0.12352186068892479, 0.2832170029481252, -0.49315336015489364, -0.2420262672110564, 0.052089197975065976, 0.130711043615722, 0.24988559012611708, -0.12143086626504858, -0.2797514328526126, 0.05616621166053745, -0.2720422991034057, -0.2330185031104419, -0.10852858351750506, 0.06068715163403087, -0.02989059541788366, -0.14987210867305598, 0.025457186107006338, -0.03877692705848151, 0.023914488705082074, -0.05686884125073751, -0.18647759511238998, 0.07588821856511964, 0.011570339608523581, 0.13295146243439782, 0.07476919022802678, 0.16214303147151238, -0.2780725380612744, -0.16376501422685882, 0.3762129408617814, -0.1127295270562172, -0.06828534023629294, 0.1077405091168152, -0.10928020022240365, -0.2223130702558491, 0.014912509048978487, 0.16274645095432383, 0.1121783826707138, -0.18798266309830877, 0.19490063014543718, 0.05973185210799178, -0.0202205427404907, 0.0825157627566821, 0.09292902455975612, 0.2276483772115575, 0.21952028520819214, -0.1212789881715758, 0.12455718602157301, -0.01743983870579137, -0.17956964666437772, -0.4212077290026678, -0.1403516839361853, -0.08002836847056945, 0.01786496417803897, -0.011664437130093575, -0.11004677228629589, 0.4404124011182123, 0.19380631101214224, 0.24745006455729404, -0.055684908758848906, 0.3554418716165755, 0.1119494662206206, 0.042705434943652816, 0.04720692503421257, 0.323454809271627, 0.1852932572364807, 0.18589986664139563, -0.25668470752942896, -0.05031136435637665, 0.15478874567068285] |
709.3342 | Microscopic formulation of the S-matrix in AdS/CFT | We develop the derivation we proposed in hep-th/0703177 of the dressing phase
of the S-matrix in the AdS/CFT correspondence in the framework of the
underlying bare integrable model. We elaborate the configuration of the Bethe
roots describing the physical vacuum, which consists of a long Bethe string
stretched along the imaginary axis and stacks distributed along the real axis.
We determine the distribution of all Bethe roots in the thermodynamic limit. We
then directly compute the scattering phase of the fundamental excitations over
the physical vacuum and reproduce the BHL/BES dressing phase.
| hep-th | we develop the derivation we proposed in hepth0703177 of the dressing phase of the smatrix in the adscft correspondence in the framework of the underlying bare integrable model we elaborate the configuration of the bethe roots describing the physical vacuum which consists of a long bethe string stretched along the imaginary axis and stacks distributed along the real axis we determine the distribution of all bethe roots in the thermodynamic limit we then directly compute the scattering phase of the fundamental excitations over the physical vacuum and reproduce the bhlbes dressing phase | [['we', 'develop', 'the', 'derivation', 'we', 'proposed', 'in', 'hepth0703177', 'of', 'the', 'dressing', 'phase', 'of', 'the', 'smatrix', 'in', 'the', 'adscft', 'correspondence', 'in', 'the', 'framework', 'of', 'the', 'underlying', 'bare', 'integrable', 'model', 'we', 'elaborate', 'the', 'configuration', 'of', 'the', 'bethe', 'roots', 'describing', 'the', 'physical', 'vacuum', 'which', 'consists', 'of', 'a', 'long', 'bethe', 'string', 'stretched', 'along', 'the', 'imaginary', 'axis', 'and', 'stacks', 'distributed', 'along', 'the', 'real', 'axis', 'we', 'determine', 'the', 'distribution', 'of', 'all', 'bethe', 'roots', 'in', 'the', 'thermodynamic', 'limit', 'we', 'then', 'directly', 'compute', 'the', 'scattering', 'phase', 'of', 'the', 'fundamental', 'excitations', 'over', 'the', 'physical', 'vacuum', 'and', 'reproduce', 'the', 'bhlbes', 'dressing', 'phase']] | [-0.1879219438466761, 0.12309322504119741, -0.10956985636924704, 0.05735082750519117, -0.05750453388835821, -0.045949307477308646, 0.02302299273950565, 0.33688319424788155, -0.2522556546506368, -0.19429838008557757, 0.051093261192242306, -0.24887051085631054, -0.13217212425831046, 0.11228225281617293, 0.04670518722074727, 0.0533058810306506, -0.00800089411334031, 0.06773101506599535, -0.1364630820022689, -0.21471453928647355, 0.33126110571255496, -0.003089270425132579, 0.3140916070797377, 0.05127939134060095, 0.11588150057941675, 0.08009563288651407, 0.03757049784374734, -0.0639201680663973, -0.12850098898634316, 0.11882223645225168, 0.19414404437152877, 0.07714193127014571, 0.12041358403447601, -0.45363210928108955, -0.140607524970417, 0.08571600333994461, 0.19456348908651205, 0.1581563740929899, 0.044807559665706424, -0.25413343549913003, 0.010646394629859262, -0.15691668764274153, -0.23931724787172343, -0.05247560317317645, -0.013396635910289155, 0.008373043322677, -0.1864491076933013, 0.040454476139146, 0.008448461577710177, 0.037268998353263465, -0.11449398199846554, -0.09237312845264872, -0.02358428800944239, 0.12913632944950626, 0.061978815618850706, 0.010486569705729682, 0.11050996915954682, -0.1321981299875511, -0.06845310980764528, 0.35603372171107267, -0.038394579912225404, -0.180395215894613, 0.12407964136348003, -0.16206289078044292, -0.1259136453270912, 0.13490615798574354, 0.10047925979015418, 0.09978577484273249, -0.14246429862040613, 0.17801686636974207, -0.050351460640215215, 0.11306936653951803, 0.09070143319796545, 0.006114994537913137, 0.24249324096987646, 0.102469290772246, -0.06288964650076297, 0.19596291026617918, -0.05542660935057534, -0.19247393077756797, -0.37987460792064665, -0.16178113640182548, -0.2104566487807056, 0.06847141807277997, -0.15093895941422994, -0.23877351125960963, 0.4441468455104364, 0.20028297507928478, 0.22163383720132213, 0.04868393379082489, 0.2651322775468644, 0.14186675096344617, 0.059782108291983604, 0.047034472439635364, 0.2534418988352021, 0.18687049829297595, 0.08380804524834579, -0.3047553095397436, -0.027797165849349565, 0.13612160465369622] |
709.3343 | On the Schwartz space isomorphism theorem for rank one symmetric space | In this paper we give a simpler proof of the $L^p$-Schwartz space isomorphism
$(0< p\leq 2)$ under the Fourier transform for the class of functions of left
$\delta$-type on a Riemannian symmetric space of rank one. Our treatment rests
on Anker's \cite{A} proof of the corresponding result in the case of left
$K$-invariant functions on $X$. Thus we give a proof which relies only on the
Paley--Wiener theorem.
| math.RT | in this paper we give a simpler proof of the lpschwartz space isomorphism 0 pleq 2 under the fourier transform for the class of functions of left deltatype on a riemannian symmetric space of rank one our treatment rests on ankers citea proof of the corresponding result in the case of left kinvariant functions on x thus we give a proof which relies only on the paleywiener theorem | [['in', 'this', 'paper', 'we', 'give', 'a', 'simpler', 'proof', 'of', 'the', 'lpschwartz', 'space', 'isomorphism', '0', 'pleq', '2', 'under', 'the', 'fourier', 'transform', 'for', 'the', 'class', 'of', 'functions', 'of', 'left', 'deltatype', 'on', 'a', 'riemannian', 'symmetric', 'space', 'of', 'rank', 'one', 'our', 'treatment', 'rests', 'on', 'ankers', 'citea', 'proof', 'of', 'the', 'corresponding', 'result', 'in', 'the', 'case', 'of', 'left', 'kinvariant', 'functions', 'on', 'x', 'thus', 'we', 'give', 'a', 'proof', 'which', 'relies', 'only', 'on', 'the', 'paleywiener', 'theorem']] | [-0.12748043572724754, 0.03912016356523747, -0.11385311569962929, 0.05655391213185251, -0.08745224580669136, -0.11954611675716492, 0.034138520458476866, 0.3031720161549191, -0.24311797076196812, -0.17561975021415682, 0.13469871979401404, -0.2194438626739516, -0.13937863084807325, 0.2473720456334526, -0.10617673060676056, -0.0272305949292243, 0.02506018000474172, 0.08089124486406347, -0.12379173705104127, -0.27745135585819164, 0.41753152522272363, -0.07459010011447009, 0.21146890598891385, 0.07056433935006802, 0.13136730753858364, 0.0984176053151266, -0.04324769294028407, -0.10448524655527505, -0.17174292578181224, 0.14723884100233442, 0.2105286001269497, 0.11633347113853071, 0.2556963301361052, -0.3733870122275913, -0.10320366606283099, 0.15567500709291937, 0.10676005046203066, -0.007739538405048869, -0.038670140540977914, -0.30514172068102036, 0.07945203764447525, -0.08366575703344573, -0.13612009946312478, -0.08110961801747778, 0.0400828258395056, -0.00010311116686841445, -0.28055907733071206, 0.05758468802573521, 0.21169300790208934, 0.05569502016279235, -0.08635504351956631, -0.14211959456468917, 0.028337459514306773, 0.032986271716376296, 0.005394669624962913, 0.07555765946353994, 0.04133902516549648, -0.03577462939281406, -0.07796281421862876, 0.32845225551212553, -0.021167450945879986, -0.2734379226814455, 0.14204918982377693, -0.1739964980854472, -0.1767633215927366, 0.07020094245672226, 0.12710861173639101, 0.2307189786255033, -0.033335145816568344, 0.21505076329765924, -0.14330403460884716, 0.12633940350062756, 0.11391010207693968, 0.042654938968037494, 0.050211166462569096, 0.11679909463082232, 0.16157955405955662, 0.15755718918656236, 0.002850666378082624, -0.036920555988882685, -0.39251122770330577, -0.20869433029151674, -0.21028524839472193, 0.1619244463561075, -0.10561473918522694, -0.22407765619790376, 0.42127479550275787, 0.06523540430465963, 0.1712647591536837, 0.16819229651305045, 0.22536788130206847, 0.08630472922927018, 0.00930130052547068, 0.026684255936919754, 0.14474513075912177, 0.1921415209992608, 0.05806235467264457, -0.09552626337494645, 0.0030609565967721726, 0.24233164831495552] |
709.3344 | On the cohomology of orbit space of free \pmb{${\ZZ}_{p}$}-actions on
lens spaces | Let $G = \ZZ_p$, $p$ an odd prime, act freely on a finite-dimensional
CW-complex $X$ with mod $p$ cohomology isomorphic to that of a lens space
$L^{2m-1} (p;q_1,...,q_m)$. In this paper, we determine the mod $p$ cohomology
ring of the orbit space $X/G$, when $p^2\nmid m$.
| math.AT | let g zz_p p an odd prime act freely on a finitedimensional cwcomplex x with mod p cohomology isomorphic to that of a lens space l2m1 pq_1q_m in this paper we determine the mod p cohomology ring of the orbit space xg when p2nmid m | [['let', 'g', 'zz_p', 'p', 'an', 'odd', 'prime', 'act', 'freely', 'on', 'a', 'finitedimensional', 'cwcomplex', 'x', 'with', 'mod', 'p', 'cohomology', 'isomorphic', 'to', 'that', 'of', 'a', 'lens', 'space', 'l2m1', 'pq_1q_m', 'in', 'this', 'paper', 'we', 'determine', 'the', 'mod', 'p', 'cohomology', 'ring', 'of', 'the', 'orbit', 'space', 'xg', 'when', 'p2nmid', 'm']] | [-0.33206065536238427, 0.09189246260584061, -0.13327068014633517, -0.04581179133708437, -0.09736663601252922, -0.21669666116060907, -0.02088790250194887, 0.3200481274749997, -0.3742397296740565, -0.21284827732935893, -0.019689425915414685, -0.2174651761820843, -0.0977559561223918, 0.16256449158779931, -0.1967130530798851, -0.07263587756883787, 0.06236566360606704, 0.19391499269147253, -0.04998277735809774, -0.3525204781096342, 0.379481119731831, -0.0641886163286345, 0.10577390375438818, -0.0941497016438218, 0.09182405374337767, 0.10094567448940388, 0.055211399486938185, -0.04439617687603459, -0.26037743952491477, 0.07457253713767197, 0.39737638519253843, -0.04387423063650034, 0.18181394092836092, -0.31538404985655877, -0.05636735836607079, 0.3236456766378048, 0.15804491233253895, -0.16840357750892465, 0.0690308450044371, -0.2699584457156963, 0.19492771506829318, -0.2194163444950137, -0.132414921793307, -0.06084072174027909, 0.2735655382708755, -0.020232938923114955, -0.274844229481248, -0.12334092875379463, 0.1189700840257628, 0.17199381317423526, -0.07382566238710181, -0.12153655466038821, -0.12270769788775333, 0.02474845708469687, -0.07993195210258629, 0.16778940486526767, 0.10937458766234476, 0.015044193373733136, -0.09238852729457755, 0.4191337927829388, -0.06891705521360733, -0.2056437074098476, 0.05338629725020985, -0.26941456892635934, -0.1801935763336545, 0.17228297529698805, 0.07821263546167417, 0.18655929397141865, 0.1360589082844875, 0.2998810996799621, -0.16037139110267162, 0.1243928374592648, 0.08053295974901249, -0.08371528494713265, 0.1316456522705943, 0.04244144051877219, 0.10475438827889712, 0.05978630747386189, -0.015340021806011019, 0.16669296343312706, -0.37549892830294235, -0.2284625943880095, -0.16783325188944853, 0.27060874328450407, -0.08214399604083494, -0.09515679833414249, 0.2884928669650541, 0.04236364741484786, 0.17809384272888648, 0.09015017130607089, 0.19079302472257337, -0.04050452678550988, -0.006255152732740308, 0.0774747057246629, -0.012971091019206269, 0.23338353603558484, -0.1144768152613366, -0.14888500647489414, -0.12341440102995135, 0.23709821405409034] |
709.3345 | Approximation of functions of two variables by certain linear positive
operators | We introduce certain linear positive operators and study some approximation
properties of these operators in the space of functions, continuous on a
compact set, of two variables. We also find the order of this approximation by
using modulus of continuity. Moreover we define an $r$th order generalization
of these operators and observe its approximation properties. Furthermore, we
study the convergence of the linear positive operators in a weighted space of
functions of two variables and find the rate of this convergence using weighted
modulus of continuity.
| math.CA | we introduce certain linear positive operators and study some approximation properties of these operators in the space of functions continuous on a compact set of two variables we also find the order of this approximation by using modulus of continuity moreover we define an rth order generalization of these operators and observe its approximation properties furthermore we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity | [['we', 'introduce', 'certain', 'linear', 'positive', 'operators', 'and', 'study', 'some', 'approximation', 'properties', 'of', 'these', 'operators', 'in', 'the', 'space', 'of', 'functions', 'continuous', 'on', 'a', 'compact', 'set', 'of', 'two', 'variables', 'we', 'also', 'find', 'the', 'order', 'of', 'this', 'approximation', 'by', 'using', 'modulus', 'of', 'continuity', 'moreover', 'we', 'define', 'an', 'rth', 'order', 'generalization', 'of', 'these', 'operators', 'and', 'observe', 'its', 'approximation', 'properties', 'furthermore', 'we', 'study', 'the', 'convergence', 'of', 'the', 'linear', 'positive', 'operators', 'in', 'a', 'weighted', 'space', 'of', 'functions', 'of', 'two', 'variables', 'and', 'find', 'the', 'rate', 'of', 'this', 'convergence', 'using', 'weighted', 'modulus', 'of', 'continuity']] | [-0.14369172221699425, 0.07274423236028037, -0.09032776663188151, 0.06703529477411838, -0.029257137512484956, 0.0005272274003039266, 0.07510500752399567, 0.355682709909499, -0.3309675593708837, -0.2141346324365153, 0.12626924045481394, -0.2729623257290832, -0.1862863849761874, 0.1655391011560379, -0.022992676210611365, 0.073499273399817, -0.0016999337822198868, 0.06061503172007411, -0.18960001936918774, -0.27734834838084615, 0.4199194456667228, -0.047389590473802284, 0.20396649288717483, 0.036716429689942404, 0.1379776995163411, 0.006914094204169719, -0.044649465215327436, 0.03604350824837659, -0.16792504307489062, 0.1716216095008476, 0.1697674092544286, 0.11193960659790697, 0.31834274617045427, -0.38727913918190227, -0.15575376806000985, 0.18154022863221375, 0.08541638425789601, -0.003744953412151094, -0.020332816139480837, -0.22648730591416014, 0.10458693750809099, -0.13749005424595157, -0.14029243443063785, -0.15617209761186915, -0.0222639893506502, 0.11884713765818539, -0.30176620457191455, 0.0751010095995044, 0.08625543971957508, 0.059707807150410845, -0.13215037935743715, -0.10305388507346601, 0.019971736395450006, 0.09186814030697353, 0.01868973914967027, 0.007240120437927544, 0.04335233921098501, -0.11301516236461223, -0.11216364282746474, 0.3337497496111102, -0.11712110048257421, -0.26240334042542895, 0.14042368468416985, -0.19935578052062802, -0.1285498119663274, 0.028499223205239274, 0.21512775144778018, 0.18770272349722164, -0.1365802331697629, 0.11653633502130613, -0.06532180098123676, 0.11645568389618813, 0.06511884972149896, 0.10831304478220814, 0.07323367538493733, 0.10015191594788501, 0.14256301034934993, 0.19525497046645818, -0.02917923902020638, -0.062055092954704925, -0.36764910799819367, -0.18949952006859835, -0.15045667003277083, 0.04737129618229648, -0.16950476886978683, -0.22794673788946035, 0.425406159364705, 0.10903342709291813, 0.2268043132228127, 0.12234002609498972, 0.21726744986669874, 0.20130513371987035, 0.039285755104406975, 0.058042407117047626, 0.20805876737976242, 0.17719006951259406, 0.05181785690771459, -0.20868208943893266, 0.03951686166692525, 0.15846725741704537] |
709.3346 | On an inequality concerning the polar derivative of a polynomial | In this paper, we present a correct proof of an $L_p$-inequality concerning
the polar derivative of a polynomial with restricted zeros. We also extend
Zygmund's inequality to the polar derivative of a polynomial.
| math.CV | in this paper we present a correct proof of an l_pinequality concerning the polar derivative of a polynomial with restricted zeros we also extend zygmunds inequality to the polar derivative of a polynomial | [['in', 'this', 'paper', 'we', 'present', 'a', 'correct', 'proof', 'of', 'an', 'l_pinequality', 'concerning', 'the', 'polar', 'derivative', 'of', 'a', 'polynomial', 'with', 'restricted', 'zeros', 'we', 'also', 'extend', 'zygmunds', 'inequality', 'to', 'the', 'polar', 'derivative', 'of', 'a', 'polynomial']] | [-0.19194987925584428, 0.00037638446201526676, -0.11314181531633949, 0.04382895498929429, -0.1419127708650194, -0.07037684008537326, 0.055689724100375315, 0.2760953465185594, -0.29063658381346613, -0.18027758135576732, 0.12016926482829149, -0.19113436015322804, -0.20711044443305582, 0.17080600163899362, -0.1260563527175691, 0.043637186725391075, -0.020371989288832992, 0.07280623223050497, -0.1623557492348482, -0.30274260754231364, 0.29302126460243016, 0.028193354519316927, 0.11145952247898094, 0.12249995261663571, 0.1306354382832069, 0.008969983231509104, -0.02452554105548188, -0.05194851546548307, -0.20545739677618258, 0.20232211012626067, 0.22624938853550702, 0.06570761842885986, 0.2613027469487861, -0.39418279216624796, -0.11122086059185676, 0.18206485453993082, 0.13477079820586368, 0.09305370145011693, -0.050862387171946466, -0.23087345901876688, 0.06728823206503876, -0.18038304935907945, -0.22736064449418336, -0.04731477762106806, -0.01172450534068048, 0.03511976098525338, -0.2968581273162272, 0.09927425017576752, 0.15957586403237656, 0.10703682305756956, -0.057451772183412686, -0.09395164041779935, 0.1193304696935229, -0.007140608984627761, 0.04144540865672752, 0.06856190582038835, -0.03464972076471895, -0.06583703401702223, -0.12307012727251276, 0.3188074550125748, -0.09782224040827714, -0.25315565889468417, 0.10543067686376162, -0.17756782588548958, -0.22193839753163047, 0.06981900462994872, 0.1604726440855302, 0.19327500165672973, -0.09457074766396545, 0.13825051284220535, -0.14249128359369934, 0.1684356591431424, 0.13268120560678653, 0.01386358984746039, 0.10741428903747874, 0.03605395799968392, 0.11270455035264604, 0.2681990737328306, -0.030290477792732418, -0.09424669615691528, -0.38042610604315996, -0.2685253795643803, -0.19955177599331364, 0.02735932549694553, -0.10624334670137614, -0.21035178867168725, 0.44869303912855685, 0.12771302214241587, 0.1720708046341315, 0.1517388355860021, 0.2474514158675447, 0.13314142340095714, 0.016885420816834085, 0.056758393067866564, 0.19463438692037016, 0.1743723888648674, 0.11388768267352134, -0.17543151671998203, 0.07485071192786563, 0.1453592180623673] |
709.3347 | Weighted composition operators from Bergman-type spaces into Bloch
spaces | Let $\phi$ be an analytic self-map and $u$ be a fixed analytic function on
the open unit disk $D$ in the complex plane $\CC.$ The weighted composition
operator is defined\break by \begin{equation*} uC_\phi f =u \cdot (f\circ
\phi), f \in H(D). \end{equation*} Weighted composition operators from
Bergman-type spaces into Bloch spaces and little Bloch spaces are characterized
by function theoretic properties of their inducing maps.
| math.CV | let phi be an analytic selfmap and u be a fixed analytic function on the open unit disk d in the complex plane cc the weighted composition operator is definedbreak by beginequation uc_phi f u cdot fcirc phi f in hd endequation weighted composition operators from bergmantype spaces into bloch spaces and little bloch spaces are characterized by function theoretic properties of their inducing maps | [['let', 'phi', 'be', 'an', 'analytic', 'selfmap', 'and', 'u', 'be', 'a', 'fixed', 'analytic', 'function', 'on', 'the', 'open', 'unit', 'disk', 'd', 'in', 'the', 'complex', 'plane', 'cc', 'the', 'weighted', 'composition', 'operator', 'is', 'definedbreak', 'by', 'beginequation', 'uc_phi', 'f', 'u', 'cdot', 'fcirc', 'phi', 'f', 'in', 'hd', 'endequation', 'weighted', 'composition', 'operators', 'from', 'bergmantype', 'spaces', 'into', 'bloch', 'spaces', 'and', 'little', 'bloch', 'spaces', 'are', 'characterized', 'by', 'function', 'theoretic', 'properties', 'of', 'their', 'inducing', 'maps']] | [-0.21017359416296202, 0.1184958322770572, -0.04864068622405212, 0.05868068665066468, -0.0639488164793759, -0.10217361985188392, 0.00973204128252017, 0.3920379884481903, -0.39521447261647574, -0.1433502928287323, 0.05507232489374777, -0.3282467918322673, -0.10517020683203425, 0.2037203156736694, -0.06563286957818837, 0.028352777296233745, 0.002218468247779778, 0.049510910737490844, -0.13459340728346317, -0.2158672543249965, 0.386479915784938, -0.10796717940164464, 0.08430243743258337, 0.034573579606200965, 0.03740105328578797, 0.020325949053383537, 0.03496928184869744, -0.08583886066584714, -0.23410878524125095, 0.09391461472426142, 0.2254311465436504, 0.1210606969109485, 0.278015532131706, -0.3672980997593157, -0.18267389366196263, 0.22330831746674246, 0.15389177198004392, -0.2205872590993605, 0.040211975624385686, -0.33894297179012073, 0.08615902453542702, -0.048635344213199996, -0.1214417012644902, -0.06661836649956447, 0.10856475868809318, 0.0590489056249637, -0.343374875285441, 0.028432169263916358, 0.07935495614369828, 0.10974443183531837, -0.13218536785256768, -0.17291314409129202, -0.1115403099665566, 0.07396163823201306, -0.10310823319938094, 0.2723770825236681, 0.08735654077359609, -0.04662352847674536, 0.005236151007314523, 0.34272259071705835, -0.12039924952541552, -0.3391404432791566, 0.037322009810143046, -0.22106872862648397, -0.07986057586672288, 0.06851027303537915, 0.11435461723654981, 0.1874512643922889, -0.09481094177398416, 0.3036266096095214, -0.10221811147436263, 0.13919130345207772, 0.10204477144760035, 0.03970750346262422, 0.13975056230519262, 0.03121510124395764, 0.14177383036197475, 0.1264044018129685, 0.06863170488560129, -0.04085709894582304, -0.2983579548696677, -0.1225533386662839, -0.13645831086961108, 0.16021812645097575, -0.12899127896710683, -0.18000197564325635, 0.3202153332531452, -0.07579335107076322, 0.24850218265413468, 0.03743440110147709, 0.2203556958526846, 0.15876688719505355, 0.031964949047606855, 0.06042232829338265, 0.057750938105441275, 0.21754096055196392, 0.06163739372370026, -0.199281394950092, 0.03210642726145803, 0.20262758735389935] |
709.3348 | A generalization of d'Alembert formula | In this paper we find a closed form of the solution for the factored
inhomogeneous linear equation \begin{equation*}
\prod_{j=1}^{n}(\frac{\hbox{d}}{\hbox{d}t}-A_{j}) u(t) =f(t). \end{equation*}
Under the hypothesis $A_{1},A_{2}, ..., A_{n}$ are infinitesimal generators of
mutually commuting strongly continuous semigroups of bounded linear operators
on a Banach space $X$. Here we do not assume that $A_{j}$s are distinct and we
offer the computational method to get explicit solutions of certain partial
differential equations.
| math.AP | in this paper we find a closed form of the solution for the factored inhomogeneous linear equation beginequation prod_j1nfrachboxdhboxdta_j ut ft endequation under the hypothesis a_1a_2 a_n are infinitesimal generators of mutually commuting strongly continuous semigroups of bounded linear operators on a banach space x here we do not assume that a_js are distinct and we offer the computational method to get explicit solutions of certain partial differential equations | [['in', 'this', 'paper', 'we', 'find', 'a', 'closed', 'form', 'of', 'the', 'solution', 'for', 'the', 'factored', 'inhomogeneous', 'linear', 'equation', 'beginequation', 'prod_j1nfrachboxdhboxdta_j', 'ut', 'ft', 'endequation', 'under', 'the', 'hypothesis', 'a_1a_2', 'a_n', 'are', 'infinitesimal', 'generators', 'of', 'mutually', 'commuting', 'strongly', 'continuous', 'semigroups', 'of', 'bounded', 'linear', 'operators', 'on', 'a', 'banach', 'space', 'x', 'here', 'we', 'do', 'not', 'assume', 'that', 'a_js', 'are', 'distinct', 'and', 'we', 'offer', 'the', 'computational', 'method', 'to', 'get', 'explicit', 'solutions', 'of', 'certain', 'partial', 'differential', 'equations']] | [-0.19611378798863904, 0.10366675837020226, -0.043868214282316756, 0.04115588717018802, -0.1022218759479823, -0.14430983897353358, -0.02598099715781727, 0.3677056597764878, -0.3384485989809036, -0.1277606504804948, 0.10098727887516896, -0.3335130695075564, -0.13130102938671104, 0.1691666158097659, -0.06530052787103854, 0.08978223085047349, 0.047910054430009466, 0.08754145132158608, -0.13823131126392743, -0.24865298253579943, 0.3912066456122214, -0.13558065365342534, 0.1856076104689718, -0.021021763805252062, 0.1940752183607615, -0.04974952289451133, 0.01731948384001632, -0.006612910485487459, -0.2220257675205229, 0.07814876746167154, 0.293560027363984, 0.10374081899028491, 0.27359017371610905, -0.4663248706115958, -0.12049102003905265, 0.19349049664828377, 0.16549122567726848, 0.006893886431284687, -0.019660835190306362, -0.2705863299231757, 0.08047337917035774, -0.14410899675396435, -0.1320004654253888, -0.11550304985276479, 0.018595014178358456, 0.0668991492883138, -0.3599264751571943, 0.09842744044384316, 0.13656938043149078, 0.035962048291420454, -0.09221914338687544, -0.09977555120884277, -0.033054423319888025, 0.03459156554548398, -0.003508717701633406, 0.01025429752874462, 0.025976747763171958, -0.028581792019608924, -0.06559933247198761, 0.3146508493296364, -0.06964503235512358, -0.32071528512546243, 0.08033607073251486, -0.21657643809585886, -0.19663284953875357, 0.10824721680803444, 0.16128773827735773, 0.18660423519416808, -0.1626063641297686, 0.2210172920184799, -0.1350522256209789, 0.12513113636797404, 0.06444443932131809, 0.03453354806611862, 0.08342852331150104, 0.057206882775062695, 0.10491935824222096, 0.07145268733010572, 0.09066231817568597, -0.07781767066540744, -0.38976526701384606, -0.15882101902560167, -0.08447794229312636, 0.1675438708936032, -0.10059108313790228, -0.21078955899814472, 0.3205207844627747, 0.09688939599265509, 0.16581441556541798, 0.09793613840113669, 0.15588080407092897, 0.2054999527411864, -0.02144500347511733, 0.072898409630665, 0.11084430489469976, 0.1448101584409254, 0.0642100356045001, -0.19796146922196975, 0.007911314886501607, 0.1494909193551233] |
709.3349 | A sharp upper bound for the first eigenvalue of the Laplacian of compact
hypersurfaces in rank-1 symmetric spaces | Let $M$ be a closed hypersurface in a simply connected rank-1 symmetric space
$\olm$. In this paper, we give an upper bound for the first eigenvalue of the
Laplacian of $M$ in terms of the Ricci curvature of $\olm$ and the square of
the length of the second fundamental form of the geodesic spheres with center
at the center-of-mass of $M$.
| math.DG math.MG | let m be a closed hypersurface in a simply connected rank1 symmetric space olm in this paper we give an upper bound for the first eigenvalue of the laplacian of m in terms of the ricci curvature of olm and the square of the length of the second fundamental form of the geodesic spheres with center at the centerofmass of m | [['let', 'm', 'be', 'a', 'closed', 'hypersurface', 'in', 'a', 'simply', 'connected', 'rank1', 'symmetric', 'space', 'olm', 'in', 'this', 'paper', 'we', 'give', 'an', 'upper', 'bound', 'for', 'the', 'first', 'eigenvalue', 'of', 'the', 'laplacian', 'of', 'm', 'in', 'terms', 'of', 'the', 'ricci', 'curvature', 'of', 'olm', 'and', 'the', 'square', 'of', 'the', 'length', 'of', 'the', 'second', 'fundamental', 'form', 'of', 'the', 'geodesic', 'spheres', 'with', 'center', 'at', 'the', 'centerofmass', 'of', 'm']] | [-0.20692869230005584, 0.11325646919550443, -0.0548748320854101, -0.03915231346084019, -0.05298648528815782, -0.07985700118798213, -0.030036468972971082, 0.27590512505686676, -0.2434154527383994, -0.25368105110208516, 0.0952555529456433, -0.263108376001359, -0.11911907577581826, 0.147971347298809, -0.0621223441767888, -0.019045997288871984, 0.04503519828889336, 0.19623260276361568, -0.08332277970296927, -0.2556405602114611, 0.4014835667903306, 0.016697469121608577, 0.1641127138902418, 0.10924376401912848, 0.1266950146814228, -0.009713263037141229, 0.03077815624992134, 0.026261801147722776, -0.2015942117413048, 0.18727137836948282, 0.21316077922028107, 0.06124916371935215, 0.2273355281194214, -0.38711162503869806, -0.13225930678032216, 0.20249659221497227, 0.1642383860164612, -0.022800814151405127, 0.02085651080200418, -0.2858429409441401, 0.11211888627225503, -0.08815983072167537, -0.1814302526191106, 0.036792828716704105, 0.05516054661425411, -0.0008001083844020718, -0.22323701961240808, 0.08074607423766227, 0.12711756346655673, 0.04938147781506471, -0.07210890432728119, -0.14303461341645385, -0.01691842602840701, 0.09240766621164245, -0.01000824088200194, 0.04226064536964796, 0.029250014825250772, -0.069546875631681, -0.07986212559960416, 0.3805419553117063, -0.13403511632111717, -0.24881131348551297, 0.04751322968084304, -0.16991508422327822, -0.07058011824417798, 0.12318375028791975, 0.20867281460554385, 0.179746276134106, -0.09081011609418592, 0.18503690971973824, -0.09746675539883923, 0.08184504936846188, 0.11350587764602216, -0.011413240377775958, 0.17823553245636772, 0.13419889405247618, 0.16610304896765557, 0.1539227407574501, -0.06671552190587657, -0.029808680679588043, -0.4072610781085296, -0.22673069173947252, -0.2511631901085865, 0.13520364121335451, -0.17583514797309466, -0.17853776750261666, 0.380221129566828, -0.023924640202837553, 0.24335766937889036, 0.12304632535173757, 0.2561585037190406, 0.09290051478587213, 0.02615650329494574, 0.15133251565065783, 0.19353319620560916, 0.1979895567189383, 0.021458976337167084, -0.19524718534447574, -0.06628562593221908, 0.15204194030098495] |
709.335 | Equivariant embeddings of Hermitian symmetric spaces | We prove that equivariant, holomorphic embeddings of Hermitian symmetric
spaces are totally geodesic (when the image is not of exceptional type).
| math.MG | we prove that equivariant holomorphic embeddings of hermitian symmetric spaces are totally geodesic when the image is not of exceptional type | [['we', 'prove', 'that', 'equivariant', 'holomorphic', 'embeddings', 'of', 'hermitian', 'symmetric', 'spaces', 'are', 'totally', 'geodesic', 'when', 'the', 'image', 'is', 'not', 'of', 'exceptional', 'type']] | [-0.1895318819830815, 0.07286569799873091, -0.06449056940064543, 0.15588164083947914, -0.1770313633162351, -0.17374473921067657, -0.11482044335986887, 0.4596141179402669, -0.323866104973214, -0.07443993494269394, 0.145028095936314, -0.28403001048025633, -0.22854042585406983, 0.17950320128528846, -0.20903406771165983, -0.015221122009236188, 0.1212050534030866, 0.16456918702239082, -0.19783139037012698, -0.3280826196936514, 0.5524551038231168, -0.14680613289099365, 0.2344645403680347, 0.07127161093410991, 0.10711880524953206, 0.0009076120997113841, -0.030282528716183844, -0.0693249519736994, -0.05903673312977411, 0.1390963244761917, 0.34894009519900593, 0.07584398952756255, 0.12292570117417545, -0.3262818937322923, -0.14196805682565486, 0.37309383210681735, 0.17030385143256613, -0.02378315451954092, -0.019383987555989905, -0.3368071403709196, 0.13757633570847766, -0.036664338560686224, -0.16083514641615607, -0.14392627216875553, 0.06673003591242291, 0.0469896024359124, -0.2133550421068711, -0.012145246068636576, 0.23326182099325315, 0.12376559893822386, -0.11995571911601084, -0.03531532916462138, -0.08784003640037208, 0.039696854912021774, 0.004460495974247654, 0.04439365453574629, 0.11142860319731492, -0.010844550361590726, -0.09586994323347296, 0.38350502703161465, -0.053647918560143025, -0.33615634058203014, 0.037765427581256346, -0.16622999492323115, -0.16619428812659212, 0.15484272218531087, 0.0941928421102819, 0.18597576179585995, -0.030808543911830168, 0.23950393728557087, -0.17263594030269555, 0.008841013907277514, 0.11787902189063884, -0.02430570075687553, 0.13949593972592128, 0.013104892856929274, 0.09468821263206857, 0.1340043464054664, -0.0255354843324139, -0.0800318091836137, -0.34588321125400917, -0.19886966688292368, -0.15646347554311865, 0.22502062046260107, -0.2045394190631452, -0.2608899598320325, 0.38348352447861717, -0.0171875072909253, 0.17265777697875387, 0.18408643228134938, 0.20148802012027728, 0.007461978610427607, 0.03973523877738487, 0.08257329763312425, 0.20668913592540084, 0.17578138260259515, -0.06325502205817472, -0.04269571941612022, -0.08564756061172202, 0.2620863393392591] |
709.3351 | A succession of relaxor ferroelectric transitions coexisting with
ferroelectric states in Ba_0.55Sr_0.45TiO_3 | We present here the results of frequency dependent dielectric, polarization
and powder X-ray powder diffraction studies in the 300 to 100K temperature
range for Ba_0.55Sr_0.45TiO_3. The dielectric results indicate a succession of
three relaxor ferroelectric transitions accompanying the cubic to tetragonal to
orthorhombic to rhombohedral phase transitions confirmed by XRD studies. Our
results confirm the coexistence of the relaxor ferroelectric and ferroelectric
behaviours.
| cond-mat.mtrl-sci | we present here the results of frequency dependent dielectric polarization and powder xray powder diffraction studies in the 300 to 100k temperature range for ba_055sr_045tio_3 the dielectric results indicate a succession of three relaxor ferroelectric transitions accompanying the cubic to tetragonal to orthorhombic to rhombohedral phase transitions confirmed by xrd studies our results confirm the coexistence of the relaxor ferroelectric and ferroelectric behaviours | [['we', 'present', 'here', 'the', 'results', 'of', 'frequency', 'dependent', 'dielectric', 'polarization', 'and', 'powder', 'xray', 'powder', 'diffraction', 'studies', 'in', 'the', '300', 'to', '100k', 'temperature', 'range', 'for', 'ba_055sr_045tio_3', 'the', 'dielectric', 'results', 'indicate', 'a', 'succession', 'of', 'three', 'relaxor', 'ferroelectric', 'transitions', 'accompanying', 'the', 'cubic', 'to', 'tetragonal', 'to', 'orthorhombic', 'to', 'rhombohedral', 'phase', 'transitions', 'confirmed', 'by', 'xrd', 'studies', 'our', 'results', 'confirm', 'the', 'coexistence', 'of', 'the', 'relaxor', 'ferroelectric', 'and', 'ferroelectric', 'behaviours']] | [-0.12659142675599264, 0.23445965668877528, -0.04583093983631942, -0.08978789822468834, -0.1405486029032017, -0.04212191967564004, 0.1846630302700965, 0.5302125997841358, -0.2229823237285018, -0.23936246221344318, 0.03331568096050872, -0.3622899811729909, -0.13706802920768818, 0.18895207075101714, 0.09330540902221636, 0.027269841765143698, -0.10039273781641837, -0.12567413902480998, -0.13481895789980977, -0.19162290146754635, 0.19026151012569184, -0.022953426510456107, 0.35829737678080076, 0.10783331519022825, 0.016396168762096954, -0.0487256619268127, 0.13804266175195093, 0.05527307476187425, -0.19632607479129108, -0.01899462639384212, 0.3431750156526123, -0.11148836445664206, 0.0985118456545376, -0.3924741502851248, -0.2564618566163605, -0.05542201765121952, 0.060235501999305864, 0.0701525425463314, -0.10733741305528148, -0.27647140865484554, 0.07362323996025108, -0.026039179669873368, -0.1414987184933477, -0.18014707891721157, -0.10474187893522603, 0.025556551840817256, -0.23959533867215918, 0.11962195401710848, 0.06833494180107429, 0.16393858847779133, -0.24517908445259015, -0.1578997540768356, -0.025830659275544027, -0.031138042822637924, 0.10831003888480124, 0.05563469756124241, 0.16786041538110905, 0.024417371057244317, -0.17246147094955366, 0.41238069702540675, 0.015409118616052212, 0.0944329108141603, 0.1349179361901817, -0.31929866617335184, -0.13743514144012042, 0.2779632836820618, 0.0704441147165433, 0.10570322701917781, -0.15269819692701042, -0.0055642364670582594, 0.04655399427358662, 0.3112302650246889, 0.1169202754334096, 0.04807115918506057, 0.17581339997629966, 0.2218573577570609, -0.13096572027631825, 0.25447529558497933, -0.13219872464035307, -0.016701307975792237, -0.17207652298853762, -0.1588770991281396, -0.18715351099719205, 0.015660808301500736, -0.18899947743545542, -0.2374664476336611, 0.37652117050733536, 0.10692956686891135, 0.10709569657281522, -0.06467445378732536, 0.2519080176228477, -0.016875028555777164, 0.06393334064670207, -0.0600381116307671, 0.2756848805246033, 0.20351404431200917, 0.23629063454967353, -0.35903206114251646, 0.10431889213261104, -0.06881079031154513] |
709.3352 | Relation between fundamental estimation limit and stability in linear
quantum systems with imperfect measurement | From the noncommutative nature of quantum mechanics, estimation of canonical
observables $\hat{q}$ and $\hat{p}$ is essentially restricted in its
performance by the Heisenberg uncertainty relation, $\mean{\Delta
\hat{q}^2}\mean{\Delta \hat{p}^2}\geq \hbar^2/4$. This fundamental lower-bound
may become bigger when taking the structure and quality of a specific
measurement apparatus into account. In this paper, we consider a particle
subjected to a linear dynamics that is continuously monitored with efficiency
$\eta\in(0,1]$. It is then clarified that the above Heisenberg uncertainty
relation is replaced by $\mean{\Delta \hat{q}^2}\mean{\Delta \hat{p}^2}\geq
\hbar^2/4\eta$ if the monitored system is unstable, while there exists a stable
quantum system for which the Heisenberg limit is reached.
| quant-ph | from the noncommutative nature of quantum mechanics estimation of canonical observables hatq and hatp is essentially restricted in its performance by the heisenberg uncertainty relation meandelta hatq2meandelta hatp2geq hbar24 this fundamental lowerbound may become bigger when taking the structure and quality of a specific measurement apparatus into account in this paper we consider a particle subjected to a linear dynamics that is continuously monitored with efficiency etain01 it is then clarified that the above heisenberg uncertainty relation is replaced by meandelta hatq2meandelta hatp2geq hbar24eta if the monitored system is unstable while there exists a stable quantum system for which the heisenberg limit is reached | [['from', 'the', 'noncommutative', 'nature', 'of', 'quantum', 'mechanics', 'estimation', 'of', 'canonical', 'observables', 'hatq', 'and', 'hatp', 'is', 'essentially', 'restricted', 'in', 'its', 'performance', 'by', 'the', 'heisenberg', 'uncertainty', 'relation', 'meandelta', 'hatq2meandelta', 'hatp2geq', 'hbar24', 'this', 'fundamental', 'lowerbound', 'may', 'become', 'bigger', 'when', 'taking', 'the', 'structure', 'and', 'quality', 'of', 'a', 'specific', 'measurement', 'apparatus', 'into', 'account', 'in', 'this', 'paper', 'we', 'consider', 'a', 'particle', 'subjected', 'to', 'a', 'linear', 'dynamics', 'that', 'is', 'continuously', 'monitored', 'with', 'efficiency', 'etain01', 'it', 'is', 'then', 'clarified', 'that', 'the', 'above', 'heisenberg', 'uncertainty', 'relation', 'is', 'replaced', 'by', 'meandelta', 'hatq2meandelta', 'hatp2geq', 'hbar24eta', 'if', 'the', 'monitored', 'system', 'is', 'unstable', 'while', 'there', 'exists', 'a', 'stable', 'quantum', 'system', 'for', 'which', 'the', 'heisenberg', 'limit', 'is', 'reached']] | [-0.12130515684839338, 0.19592447993151532, -0.10373668514754779, 0.061578879577912936, -0.03172706779635822, -0.17721299523933945, 0.040200321410035635, 0.3371769120567478, -0.2866827206259283, -0.2399878909539742, 0.10203647298233894, -0.2536941603757441, -0.08688596369271788, 0.21731655978389122, -0.061043267138302326, 0.05179836030523196, 0.08868342641896258, 0.0930356654280331, -0.09149654496771593, -0.21662422418012284, 0.3071401890483685, 0.06798604311916279, 0.27293046705259866, 0.013878996471855013, 0.1481807435823915, 0.045272181057953276, 0.058455914191047974, 0.0688451827057482, -0.15057861967534336, 0.09045385978727911, 0.2255676867401538, 0.07453432751450843, 0.26946105831545236, -0.3545399946742691, -0.19714393464770788, 0.12132380272669252, 0.1282948540720099, 0.04666560413049107, 0.0009113563364735455, -0.2889009683470552, 0.06648928136064569, -0.17758618227283782, -0.11000299185009983, -0.054935742470358186, 0.0485287789585224, -0.060566014790310874, -0.2223581947018829, 0.10020489864594613, 0.12109517181427994, 0.05316946121941631, -0.03393266810962814, -0.03087844038721717, -0.013696634453178072, 0.13373493518065516, 0.011591635608056094, 0.03342551907311039, 0.12682297360394537, -0.10106556653530181, -0.07144762285073132, 0.41927964768062037, -0.01936983385530766, -0.2384234777224871, 0.10701858881899777, -0.161783884492858, -0.1304894544664421, 0.08414491313548449, 0.1016494906822724, 0.04660429677945407, -0.15707331930646737, 0.14193635507278182, -0.02629352021419133, 0.20990120034548454, 0.014041351993607046, 0.018087922042468563, 0.19882820892538197, 0.18498336481813263, 0.09392669779481366, 0.15308060889947228, -0.028560158282440778, -0.16125743672212897, -0.2956357298923346, -0.1596757330995994, -0.20635006828039573, 0.12243669940896022, -0.06292088421923836, -0.10979401288204826, 0.33198948157951236, 0.1309665418146627, 0.1838325809876551, 0.0018889180319092702, 0.29194243071227294, 0.18237587696057744, 0.032193146318604704, 0.05962423646512131, 0.2899464313716938, 0.16909640471082335, 0.05441417436910948, -0.2237758577806138, 0.06428772841172758, 0.06326670609269058] |
709.3353 | A trivial observation on time reversal in random matrix theory | It is commonly thought that a state-dependent quantity, after being averaged
over a classical ensemble of random Hamiltonians, will always become
independent of the state. We point out that this is in general incorrect: if
the ensemble of Hamiltonians is time reversal invariant, and the quantity
involves the state in higher than bilinear order, then we show that the
quantity is only a constant over the orbits of the invariance group on the
Hilbert space. Examples include fidelity and decoherence in appropriate models.
| quant-ph | it is commonly thought that a statedependent quantity after being averaged over a classical ensemble of random hamiltonians will always become independent of the state we point out that this is in general incorrect if the ensemble of hamiltonians is time reversal invariant and the quantity involves the state in higher than bilinear order then we show that the quantity is only a constant over the orbits of the invariance group on the hilbert space examples include fidelity and decoherence in appropriate models | [['it', 'is', 'commonly', 'thought', 'that', 'a', 'statedependent', 'quantity', 'after', 'being', 'averaged', 'over', 'a', 'classical', 'ensemble', 'of', 'random', 'hamiltonians', 'will', 'always', 'become', 'independent', 'of', 'the', 'state', 'we', 'point', 'out', 'that', 'this', 'is', 'in', 'general', 'incorrect', 'if', 'the', 'ensemble', 'of', 'hamiltonians', 'is', 'time', 'reversal', 'invariant', 'and', 'the', 'quantity', 'involves', 'the', 'state', 'in', 'higher', 'than', 'bilinear', 'order', 'then', 'we', 'show', 'that', 'the', 'quantity', 'is', 'only', 'a', 'constant', 'over', 'the', 'orbits', 'of', 'the', 'invariance', 'group', 'on', 'the', 'hilbert', 'space', 'examples', 'include', 'fidelity', 'and', 'decoherence', 'in', 'appropriate', 'models']] | [-0.1530842180083315, 0.18773137966552414, -0.11355544213789055, 0.08574948395765106, -0.004816285098190363, -0.10532197909968266, 0.035308530206332005, 0.37245787935982266, -0.2647350003426693, -0.22044796425938964, 0.1159443409428988, -0.25962934650884695, -0.13695493789883442, 0.21026063316602664, -0.06605922911001975, 0.05302953006452825, 0.0558711252882179, 0.12640137485290193, -0.09973904617545924, -0.29244869188910505, 0.35591697434793756, 0.05797657258359783, 0.2466203700526651, -0.025822922194668328, 0.12837017100887843, 0.009571564176220852, 0.011314366040162248, 0.0038447611125786395, -0.0634537765920879, 0.06376487778567047, 0.21184495941607642, 0.08573740681257107, 0.2670134643081531, -0.3625642963382135, -0.22854594999071526, 0.15789754456049393, 0.11917256598686238, 0.15001934217513505, 0.028542963232486004, -0.260566379269024, 0.04977714971089399, -0.16606509598555513, -0.120680176148034, -0.10405556233711989, 0.06887277471552412, -0.03962922827845596, -0.277586420763744, 0.10658174427787223, 0.08780678402610033, 0.04668180252907865, -0.04253258191172527, -0.073837510073075, -0.007978901699050722, 0.07977851167116426, 0.031080573713070297, 0.050053830011691676, 0.13716170723628568, -0.09001665108792305, -0.07093709713431547, 0.3777738521885441, -0.07751108760295397, -0.24282862556851412, 0.1516446341081601, -0.13746108766645193, -0.13123452492585652, 0.11672011434650385, 0.10969329548225436, 0.13625089094850673, -0.13647421732185835, 0.10169894647565726, -0.07166632033704994, 0.17481793957819927, 0.009581440655761454, 0.0529762224654712, 0.16633829535742525, 0.08096220376564706, 0.13369831328381257, 0.13537083641648381, -0.020814968180472414, -0.1853608075607882, -0.33409955581448164, -0.19093141856277923, -0.2255759923157832, 0.11458101668900036, -0.07943538192579669, -0.12494932769247925, 0.40123284715283886, 0.15567964141703133, 0.19131734442100468, 0.04276525720965162, 0.2541300807911229, 0.15294163992785545, 0.08109164707284107, 0.07862855404536857, 0.229149762024901, 0.08255932280367398, 0.02368929749635239, -0.19078461078685674, 0.07507528300700059, 0.0808570983157639] |
709.3354 | Some notes on the equivalence of first-order rigidity in various
geometries | These pages serve two purposes. First, they are notes to accompany the talk
"Hyperbolic and projective geometry in constraint programming for CAD" by
Walter Whiteley at the "Janos Bolyai Conference on Hyperbolic Geometry", 8--12
July 2002, in Budapest, Hungary. Second, they sketch results that will be
included in a forthcoming paper that will present the equivalence of the
first-order rigidity theories of bar-and-joint frameworks in various
geometries, including Euclidean, hyperbolic and spherical geometry. The bulk of
the theory is outlined here, with remarks and comments alluding to other
results that will make the final version of the paper.
| math.MG math.CO | these pages serve two purposes first they are notes to accompany the talk hyperbolic and projective geometry in constraint programming for cad by walter whiteley at the janos bolyai conference on hyperbolic geometry 812 july 2002 in budapest hungary second they sketch results that will be included in a forthcoming paper that will present the equivalence of the firstorder rigidity theories of barandjoint frameworks in various geometries including euclidean hyperbolic and spherical geometry the bulk of the theory is outlined here with remarks and comments alluding to other results that will make the final version of the paper | [['these', 'pages', 'serve', 'two', 'purposes', 'first', 'they', 'are', 'notes', 'to', 'accompany', 'the', 'talk', 'hyperbolic', 'and', 'projective', 'geometry', 'in', 'constraint', 'programming', 'for', 'cad', 'by', 'walter', 'whiteley', 'at', 'the', 'janos', 'bolyai', 'conference', 'on', 'hyperbolic', 'geometry', '812', 'july', '2002', 'in', 'budapest', 'hungary', 'second', 'they', 'sketch', 'results', 'that', 'will', 'be', 'included', 'in', 'a', 'forthcoming', 'paper', 'that', 'will', 'present', 'the', 'equivalence', 'of', 'the', 'firstorder', 'rigidity', 'theories', 'of', 'barandjoint', 'frameworks', 'in', 'various', 'geometries', 'including', 'euclidean', 'hyperbolic', 'and', 'spherical', 'geometry', 'the', 'bulk', 'of', 'the', 'theory', 'is', 'outlined', 'here', 'with', 'remarks', 'and', 'comments', 'alluding', 'to', 'other', 'results', 'that', 'will', 'make', 'the', 'final', 'version', 'of', 'the', 'paper']] | [-0.09946191495246424, 0.11496616633281073, -0.0985892746616535, 0.07558702423394069, -0.11912522677389183, -0.140033456729725, -0.037407334491239896, 0.3324649157501491, -0.19938771822252216, -0.31306116744799883, 0.17257801530293512, -0.30417488698790573, -0.19256482380965, 0.21752751925580052, -0.16306812877883203, -0.013974883432062914, 0.08908052704230483, 0.0015283125352912716, -0.10255077569650448, -0.3067252134193894, 0.3235285526227054, 0.08093180879000195, 0.23168238284237377, 0.11495486164479801, 0.03547272954506762, 0.014186944551195721, -0.0684573543733176, 0.04630989348515868, -0.18012536799038312, 0.15329274772761428, 0.3289150282151389, 0.13896916749470212, 0.21779971523923153, -0.452708105594383, -0.12265410923342011, -0.0065249034811799625, 0.04593836459834889, 0.09601843119503892, -0.03465862365140181, -0.3241069412277061, 0.04921906976485435, -0.14098059596037682, -0.14321203394353446, -0.032171915076216875, 0.023440122732664555, 0.015125013213148531, -0.12189711567622666, 0.0034921141281933047, 0.11523235960844525, 0.0821737646581415, -0.025794987295925314, -0.12434773976030779, -0.02354420318234978, 0.09060381458625577, 0.01467961870010334, 0.041068313246573875, 0.08603399498768304, -0.05032471653159556, -0.1688032271815654, 0.39829761907458305, -0.02522067653433401, -0.16970241142018716, 0.16978896713378477, -0.1277652593206006, -0.21962809998409025, 0.06700943408020753, 0.2352002410560238, 0.09949489163557942, -0.13953579481149433, 0.12106629498409849, -0.04481356804290601, 0.1311324415633417, 0.10899965198501488, -0.042759214335463334, 0.1912997464829942, 0.08875337481612758, -0.006342836707944469, 0.0961735894736045, -0.021559304693162595, -0.09348800132640314, -0.3813142827426901, -0.17595823660340845, -0.09730951991098534, 0.032913047720545104, -0.026765937888870082, -0.13213349096667099, 0.33413807323620637, 0.12987325885048023, 0.10808584318325228, 0.028941177504080137, 0.21453864528436442, 0.0025838390747037697, -0.004387809526429473, 0.05829205058458052, 0.2577618980229053, 0.12119011539842325, 0.17526625821423925, -0.08430207629803312, -0.03903004440136862, 0.15655800125713706] |
709.3355 | On the Gauss Map with Vanishing Biharmonic stress-energy tensor | We study the biharmonic stress-energy tensor $S_2$ of Gauss map. Adding few
assumptions, the Gauss map with vanishing $S_2$ would be harmonic.
| math.DG | we study the biharmonic stressenergy tensor s_2 of gauss map adding few assumptions the gauss map with vanishing s_2 would be harmonic | [['we', 'study', 'the', 'biharmonic', 'stressenergy', 'tensor', 's_2', 'of', 'gauss', 'map', 'adding', 'few', 'assumptions', 'the', 'gauss', 'map', 'with', 'vanishing', 's_2', 'would', 'be', 'harmonic']] | [-0.24225047658282248, 0.13518805027177389, 0.007879435084760189, 0.03373184783214873, -0.1241684067486362, -0.15490249078720808, -0.12430670637298714, 0.3864994225176898, -0.31143802738833154, -0.19277812862260776, 0.10984919886951419, -0.30849359641698276, -0.10812989618121223, 0.13479626991532065, -0.03937087097967213, 0.03356017146936872, 0.061367363880642435, 0.09170558642257344, -0.17154815854324956, -0.2578800351104953, 0.37496695955368603, -0.01403196266090328, 0.15268246372315017, 0.09377803357148712, 0.13978712455454198, -0.11719713474369862, -0.01572193886915391, -0.035895572721280834, -0.18067545896734705, 0.13852186763489788, 0.12166246348483996, 0.09943776459179142, 0.19166655719957568, -0.39382565241645684, -0.2303523120724342, 0.26146549883891235, 0.030966034783473748, 0.003878146748651158, 0.04880700632929802, -0.27028641472993925, 0.05908400658518076, -0.10672949004749005, -0.12717918357388538, -0.23301220266148448, -0.010611396960236809, 0.05647606867238541, -0.22423170941924167, 0.1697442846542055, 0.14695460061458024, 0.08271936238320036, -0.031923579179089175, -0.1019779501313513, -0.05635747516697103, 0.10645513661967759, 0.12443722098727118, 0.15255549536298282, 0.17837191409092734, -0.10308843478560448, 0.0684549290348183, 0.3421150981025262, -0.2068344053219665, -0.3073788267052309, -0.014038327065381136, -0.13931221328675747, -0.1964885055256838, 0.08918105336752805, 0.015734601765871048, 0.17678203823214228, -0.1354293701323596, 0.12685844166712326, -0.03136535606939684, 0.12195744873447852, 0.27205020388249646, -0.06711214120415124, 0.23102228402752767, -0.07288873161781918, 0.14563879362222823, 0.250328257039655, -0.05142755162986842, -0.02147180214524269, -0.44283126904205844, -0.17424550191075963, -0.21867740958590398, 0.28800152377648786, -0.19063395750708878, -0.10706018021499569, 0.40871459364213725, 0.05245583483271978, 0.13282911839566872, 0.08308263444765047, 0.2547544045797126, 0.1287782597778873, 0.07006308537992564, 0.05229508453472094, 0.20917223783379252, 0.28228470852429216, 0.027290420691398056, -0.1355113442352211, -0.1794586663176729, 0.20385254648598758] |
709.3356 | Discovery of Par 1802 as a Low-Mass, Pre-Main-Sequence Eclipsing Binary
in the Orion Star-Forming Region | We report the discovery of a pre-main-sequence, low-mass, double-lined,
spectroscopic, eclipsing binary in the Orion star-forming region. We present
our observations including radial velocities derived from optical
high-resolution spectroscopy, and present an orbit solution that permits the
determination of precise empirical masses for both components of the system. We
measure that Par 1802 is composed of two equal mass (0.39+-0.03, 0.40+-0.03
Msun) stars in a circular, 4.7 day orbit. There is strong evidence, such as the
system exhibiting strong Li lines and a center-of-mass velocity consistent with
cluster membership, that this system is a member of the Orion star-forming
region and quite possibly the Orion Nebula Cluster, and therefore has an age of
only a few million years. As there are currently only a few empirical mass and
radius measurements for low-mass, PMS stars, this system presents an
interesting test for the predictions of current theoretical models of pre-main
sequence stellar evolution.
| astro-ph | we report the discovery of a premainsequence lowmass doublelined spectroscopic eclipsing binary in the orion starforming region we present our observations including radial velocities derived from optical highresolution spectroscopy and present an orbit solution that permits the determination of precise empirical masses for both components of the system we measure that par 1802 is composed of two equal mass 039003 040003 msun stars in a circular 47 day orbit there is strong evidence such as the system exhibiting strong li lines and a centerofmass velocity consistent with cluster membership that this system is a member of the orion starforming region and quite possibly the orion nebula cluster and therefore has an age of only a few million years as there are currently only a few empirical mass and radius measurements for lowmass pms stars this system presents an interesting test for the predictions of current theoretical models of premain sequence stellar evolution | [['we', 'report', 'the', 'discovery', 'of', 'a', 'premainsequence', 'lowmass', 'doublelined', 'spectroscopic', 'eclipsing', 'binary', 'in', 'the', 'orion', 'starforming', 'region', 'we', 'present', 'our', 'observations', 'including', 'radial', 'velocities', 'derived', 'from', 'optical', 'highresolution', 'spectroscopy', 'and', 'present', 'an', 'orbit', 'solution', 'that', 'permits', 'the', 'determination', 'of', 'precise', 'empirical', 'masses', 'for', 'both', 'components', 'of', 'the', 'system', 'we', 'measure', 'that', 'par', '1802', 'is', 'composed', 'of', 'two', 'equal', 'mass', '039003', '040003', 'msun', 'stars', 'in', 'a', 'circular', '47', 'day', 'orbit', 'there', 'is', 'strong', 'evidence', 'such', 'as', 'the', 'system', 'exhibiting', 'strong', 'li', 'lines', 'and', 'a', 'centerofmass', 'velocity', 'consistent', 'with', 'cluster', 'membership', 'that', 'this', 'system', 'is', 'a', 'member', 'of', 'the', 'orion', 'starforming', 'region', 'and', 'quite', 'possibly', 'the', 'orion', 'nebula', 'cluster', 'and', 'therefore', 'has', 'an', 'age', 'of', 'only', 'a', 'few', 'million', 'years', 'as', 'there', 'are', 'currently', 'only', 'a', 'few', 'empirical', 'mass', 'and', 'radius', 'measurements', 'for', 'lowmass', 'pms', 'stars', 'this', 'system', 'presents', 'an', 'interesting', 'test', 'for', 'the', 'predictions', 'of', 'current', 'theoretical', 'models', 'of', 'premain', 'sequence', 'stellar', 'evolution']] | [-0.12565116418235694, 0.09859827834762408, -0.07479045426300326, 0.026446954640929915, -0.08653750973414408, -0.07825054624272103, 0.08723334022658871, 0.4159012672472869, -0.13986415909726593, -0.3395361544329994, 0.05427437038345891, -0.2826941952460896, -0.027351524534370036, 0.2223371953074358, -0.04864654481597553, 0.01653075783855794, 0.18718383959895432, -0.01653993691260686, -0.040924135310303984, -0.22125223514836725, 0.3126857290476166, 0.025447357371942887, 0.08565187063191505, -0.05177390648187786, 0.08085659563322459, -0.09947747247453952, -0.03211744432800159, -0.04528628199651147, -0.17076742673358866, 0.07306031121052062, 0.2051975123195368, 0.1601782356302519, 0.24137202739586056, -0.2804578295754676, -0.17371364706041698, 0.04309400273425295, 0.21308669762759908, 0.03694492074913833, -0.10876533757611517, -0.2693594033122124, 0.088415496614885, -0.21681324781970251, -0.1875697988199551, 0.02005486091790067, 0.10159116875787345, 0.022207719233775177, -0.24442144495046494, 0.13620959436952673, 0.00970053675874377, 0.16210668141158013, -0.15871026137819058, -0.15633698901321913, -0.0180756454063049, 0.10310390281386131, 0.007570059015569801, 0.08764155140603024, 0.12789350745903438, -0.11751607684295205, -0.03896739864791281, 0.38573913651808406, -0.08053374062878209, 0.0030288368144337804, 0.2620575270100515, -0.1895786030403036, -0.20854022190135146, 0.10977153454456996, 0.13860453590318955, 0.17098373954572918, -0.2125692127815244, -0.009011884574972661, -0.07367174085830985, 0.2598529306197206, 0.012507591849125132, 0.0655559861596168, 0.3408856472919467, 0.1719347695443804, 0.024565261583156583, 0.0750731805864481, -0.2457099088825384, -0.07251804900071923, -0.23372554561949724, -0.13083431591890407, -0.11355961334567043, 0.06243993084267127, -0.1130276046124162, -0.16296524735513013, 0.3333943404121608, 0.09526140118169672, 0.22222680711366286, 0.04131525381088923, 0.29992567384553864, 0.07716939387078219, 0.09119801445327262, 0.11296631785152814, 0.30961709777324997, 0.20158225601841234, 0.08265853462901139, -0.23021755338683478, 0.0748273385719501, -0.0026913899650784913] |
709.3357 | Spectrum of the non-commutative spherical well | We give precise meaning to piecewise constant potentials in non-commutative
quantum mechanics. In particular we discuss the infinite and finite
non-commutative spherical well in two dimensions. Using this, bound-states and
scattering can be discussed unambiguously. Here we focus on the infinite well
and solve for the eigenvalues and eigenfunctions. We find that time reversal
symmetry is broken by the non-commutativity. We show that in the commutative
and thermodynamic limits the eigenstates and eigenfunctions of the commutative
spherical well are recovered and time reversal symmetry is restored.
| hep-th | we give precise meaning to piecewise constant potentials in noncommutative quantum mechanics in particular we discuss the infinite and finite noncommutative spherical well in two dimensions using this boundstates and scattering can be discussed unambiguously here we focus on the infinite well and solve for the eigenvalues and eigenfunctions we find that time reversal symmetry is broken by the noncommutativity we show that in the commutative and thermodynamic limits the eigenstates and eigenfunctions of the commutative spherical well are recovered and time reversal symmetry is restored | [['we', 'give', 'precise', 'meaning', 'to', 'piecewise', 'constant', 'potentials', 'in', 'noncommutative', 'quantum', 'mechanics', 'in', 'particular', 'we', 'discuss', 'the', 'infinite', 'and', 'finite', 'noncommutative', 'spherical', 'well', 'in', 'two', 'dimensions', 'using', 'this', 'boundstates', 'and', 'scattering', 'can', 'be', 'discussed', 'unambiguously', 'here', 'we', 'focus', 'on', 'the', 'infinite', 'well', 'and', 'solve', 'for', 'the', 'eigenvalues', 'and', 'eigenfunctions', 'we', 'find', 'that', 'time', 'reversal', 'symmetry', 'is', 'broken', 'by', 'the', 'noncommutativity', 'we', 'show', 'that', 'in', 'the', 'commutative', 'and', 'thermodynamic', 'limits', 'the', 'eigenstates', 'and', 'eigenfunctions', 'of', 'the', 'commutative', 'spherical', 'well', 'are', 'recovered', 'and', 'time', 'reversal', 'symmetry', 'is', 'restored']] | [-0.1285480199446685, 0.20191019861742335, -0.06891042019543779, 0.12382998682022485, -0.06116209742288257, -0.13291100304313871, -0.01096657123470809, 0.3908626247240707, -0.2887499922789027, -0.22547413959969267, 0.11081314954343577, -0.2468758400009815, -0.14714878214371585, 0.1280982023711468, -0.054919769122471034, 0.06952559178002006, -0.013845851287505654, 0.05719326828541451, -0.13757952530110298, -0.21022304173472317, 0.33848899730676135, -0.0007296530651686669, 0.23525821061555816, 0.10729948723645405, 0.08835307177194113, 0.022474584283393828, 0.0035249313859398975, 0.019223874034143464, -0.14163436624847575, 0.033703518013448217, 0.2440773705125456, 0.042440972079761156, 0.12025995069551607, -0.4623545922425597, -0.15585741387182023, 0.11830905696572086, 0.1897908326801519, 0.1421009600812266, -0.043135806150615304, -0.3136698353255904, 0.040693873106393705, -0.1517289954800765, -0.17987638805603046, -0.1366408148747977, 0.028698028671706833, -0.01652019117352401, -0.21069438389480807, 0.11899870139178495, 0.09294944607820578, 0.08178303058280847, -0.09723701676202201, -0.04545259168154971, -0.011788366565502487, 0.0940693833886884, 0.03900059756043172, -0.07356123276986182, 0.07866585925817056, -0.02522477984894067, -0.1258891489881979, 0.4064056893680678, -0.04401186256680291, -0.2598026920499843, 0.13457573142422494, -0.21120188968407727, -0.15726043014288987, 0.03439399256739159, 0.10420623934979356, 0.14388173080027797, -0.068317084172524, 0.20734406643354897, -0.04511146341602123, 0.12082414846694053, 0.10355907464724813, 0.04694513093983365, 0.17606386270504013, 0.06668893529134694, 0.042808735380382386, 0.16270100981688132, -0.02141257177031231, -0.14685870757932926, -0.3715389569311641, -0.15727180981098912, -0.21926335652553758, 0.09956582115291683, -0.10619911388917096, -0.1457294134726358, 0.39960775541704757, 0.12466873459756202, 0.21171331679621755, 0.05855555831303084, 0.24702593846636456, 0.18939098544678715, 0.04593499004908534, 0.06147254260018641, 0.24127403122567853, 0.15664991757935345, 0.049565358845981344, -0.23917613168745194, -0.05001543156347822, 0.10862642539351053] |
709.3358 | Polarization-independent CP-odd Observable in e^+e^- Chargino Production
at One Loop | We discuss CP violation in the process e^+e^- \to
\tilde\chi^+_i\tilde\chi^-_j with unpolarized beams. When the scalars are
heavy, the box-diagram results constitute a major part of the full result.
However, there are situations when the vertex and self-energy corrections
dominate over the box diagrams. We also comment on CP violation in the final
chargino decay.
| hep-ph | we discuss cp violation in the process ee to tildechi_itildechi_j with unpolarized beams when the scalars are heavy the boxdiagram results constitute a major part of the full result however there are situations when the vertex and selfenergy corrections dominate over the box diagrams we also comment on cp violation in the final chargino decay | [['we', 'discuss', 'cp', 'violation', 'in', 'the', 'process', 'ee', 'to', 'tildechi_itildechi_j', 'with', 'unpolarized', 'beams', 'when', 'the', 'scalars', 'are', 'heavy', 'the', 'boxdiagram', 'results', 'constitute', 'a', 'major', 'part', 'of', 'the', 'full', 'result', 'however', 'there', 'are', 'situations', 'when', 'the', 'vertex', 'and', 'selfenergy', 'corrections', 'dominate', 'over', 'the', 'box', 'diagrams', 'we', 'also', 'comment', 'on', 'cp', 'violation', 'in', 'the', 'final', 'chargino', 'decay']] | [-0.10715391241352666, 0.2008338700725951, -0.018496280832385473, 0.13459704148028157, -0.040406838702884584, -0.13566097132014956, 0.06909519259563901, 0.3182958324524489, -0.2025255768305876, -0.2163977835835381, 0.04384446978907693, -0.35801577229391446, -0.0339733844792301, 0.1682813700627197, 0.03692894650792534, 0.034893195263364096, 0.10755254697393288, -0.021102688478475268, -0.07939721914114092, -0.2641108089719306, 0.3310911916535009, -0.0017250941685316237, 0.19647279670462012, 0.16221088313243606, -0.010025535456158897, 0.050734154329719866, -0.06734141406010498, -0.054466719993136146, -0.09199492863633416, -0.006517904249697246, 0.2044538066637787, 0.10635910740714859, 0.11003678268329664, -0.36790823157538066, -0.08510671352798288, 0.1887608862566677, 0.1413751494139433, 0.14118386063386093, -0.056953684132630855, -0.3074088556522673, 0.06440396639095111, -0.18162720728326928, -0.08891417853407223, -0.07828216297043995, -0.001566412350670858, -0.06794629508248445, -0.2925210130824284, 0.09029892147465779, 0.005674426393075423, -0.02450007996098562, 0.04822414388710802, -0.19745012170381165, -0.02555260140110146, 0.07557666232830591, 0.16079616119862872, 0.005226936165920713, 0.13251045358536595, -0.1846724065190012, -0.15527796636504884, 0.42257994095032864, -0.04548723944462836, -0.19729665053839032, 0.11770147940313275, -0.23767808333716609, -0.15643856850537388, 0.13217299971729518, 0.1965923813087019, 0.07097454089671373, -0.14741444063891487, 0.1582533264014108, -0.037080874310975724, 0.099040235477415, 0.0749027134892954, 0.09920029824345626, 0.2182577991011468, 0.13810442217033017, 0.04719150180674412, 0.11418915289792825, -0.06881054970435799, -0.09830883249471134, -0.4490760934623805, -0.16096643248403614, -0.05783439192243598, 0.028806260545653377, -0.057148111873803746, -0.11238268136300823, 0.3636822017248381, 0.10983131096105683, 0.19811271351328205, 0.007933507453311573, 0.3135375749319792, 0.12418655576396057, 0.08125619713894346, 0.06909613782031969, 0.305920374257998, 0.12485962162979625, 0.1171015997565436, -0.26583963309160685, 0.030532372061332518, 0.034871354673735123] |
709.3359 | Transition states in protein folding kinetics: Modeling Phi-values of
small beta-sheet proteins | Small single-domain proteins often exhibit only a single free-energy barrier,
or transition state, between the denatured and the native state. The folding
kinetics of these proteins is usually explored via mutational analysis. A
central question is which structural information on the transition state can be
derived from the mutational data. In this article, we model and structurally
interpret mutational Phi-values for two small beta-sheet proteins, the PIN and
the FBP WW domain. The native structure of these WW domains comprises two
beta-hairpins that form a three-stranded beta-sheet. In our model, we assume
that the transition state consists of two conformations in which either one of
the hairpins is formed. Such a transition state has been recently observed in
Molecular Dynamics folding-unfolding simulations of a small designed
three-stranded beta-sheet protein. We obtain good agreement with the
experimental data (i) by splitting up the mutation-induced free-energy changes
into terms for the two hairpins and for the small hydrophobic core of the
proteins, and (ii) by fitting a single parameter, the relative degree to which
hairpin 1 and 2 are formed in the transition state. The model helps to
understand how mutations affect the folding kinetics of WW domains, and
captures also negative Phi-values that have been difficult to interpret.
| q-bio.BM | small singledomain proteins often exhibit only a single freeenergy barrier or transition state between the denatured and the native state the folding kinetics of these proteins is usually explored via mutational analysis a central question is which structural information on the transition state can be derived from the mutational data in this article we model and structurally interpret mutational phivalues for two small betasheet proteins the pin and the fbp ww domain the native structure of these ww domains comprises two betahairpins that form a threestranded betasheet in our model we assume that the transition state consists of two conformations in which either one of the hairpins is formed such a transition state has been recently observed in molecular dynamics foldingunfolding simulations of a small designed threestranded betasheet protein we obtain good agreement with the experimental data i by splitting up the mutationinduced freeenergy changes into terms for the two hairpins and for the small hydrophobic core of the proteins and ii by fitting a single parameter the relative degree to which hairpin 1 and 2 are formed in the transition state the model helps to understand how mutations affect the folding kinetics of ww domains and captures also negative phivalues that have been difficult to interpret | [['small', 'singledomain', 'proteins', 'often', 'exhibit', 'only', 'a', 'single', 'freeenergy', 'barrier', 'or', 'transition', 'state', 'between', 'the', 'denatured', 'and', 'the', 'native', 'state', 'the', 'folding', 'kinetics', 'of', 'these', 'proteins', 'is', 'usually', 'explored', 'via', 'mutational', 'analysis', 'a', 'central', 'question', 'is', 'which', 'structural', 'information', 'on', 'the', 'transition', 'state', 'can', 'be', 'derived', 'from', 'the', 'mutational', 'data', 'in', 'this', 'article', 'we', 'model', 'and', 'structurally', 'interpret', 'mutational', 'phivalues', 'for', 'two', 'small', 'betasheet', 'proteins', 'the', 'pin', 'and', 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'are', 'formed', 'in', 'the', 'transition', 'state', 'the', 'model', 'helps', 'to', 'understand', 'how', 'mutations', 'affect', 'the', 'folding', 'kinetics', 'of', 'ww', 'domains', 'and', 'captures', 'also', 'negative', 'phivalues', 'that', 'have', 'been', 'difficult', 'to', 'interpret']] | [-0.09156673882440057, 0.154208660616139, -0.06945492341048151, 0.08577460259230636, -0.007803722295419714, -0.1513386405194583, 0.053176371806980545, 0.386296220285737, -0.2918423352862038, -0.2824876125506013, 0.02474263036603351, -0.2682260782390401, -0.1629194593662171, 0.10876172343898871, 0.023859318667473855, 0.012817259320588827, 0.09000400221593911, 0.026132036794588906, 0.010123127753112988, -0.16950664783553512, 0.29859673987696134, 0.01509785683542166, 0.26564572449629575, 0.05740219481730303, 0.06443889982489968, -0.06508505562149385, 0.06651538017358864, 0.011915613987127652, -0.18747659911893522, 0.12140334333641964, 0.2497423014194133, 0.07444656480051429, 0.21917647102753213, 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709.336 | A non-monotone conservation law for dune morphodynamics | We investigate a non-local non linear conservation law, first introduced by
A.C. Fowler to describe morphodynamics of dunes, see \cite{Fow01, Fow02}. A
remarkable feature is the violation of the maximum principle, which allows for
erosion phenomenon. We prove well-posedness for initial data in $L^2$ and give
explicit counterexample for the maximum principle. We also provide numerical
simulations corroborating our theoretical results.
| math.AP | we investigate a nonlocal non linear conservation law first introduced by ac fowler to describe morphodynamics of dunes see citefow01 fow02 a remarkable feature is the violation of the maximum principle which allows for erosion phenomenon we prove wellposedness for initial data in l2 and give explicit counterexample for the maximum principle we also provide numerical simulations corroborating our theoretical results | [['we', 'investigate', 'a', 'nonlocal', 'non', 'linear', 'conservation', 'law', 'first', 'introduced', 'by', 'ac', 'fowler', 'to', 'describe', 'morphodynamics', 'of', 'dunes', 'see', 'citefow01', 'fow02', 'a', 'remarkable', 'feature', 'is', 'the', 'violation', 'of', 'the', 'maximum', 'principle', 'which', 'allows', 'for', 'erosion', 'phenomenon', 'we', 'prove', 'wellposedness', 'for', 'initial', 'data', 'in', 'l2', 'and', 'give', 'explicit', 'counterexample', 'for', 'the', 'maximum', 'principle', 'we', 'also', 'provide', 'numerical', 'simulations', 'corroborating', 'our', 'theoretical', 'results']] | [-0.1268310162664975, 0.053890478256616296, -0.13606501028131127, 0.12106835336416517, -0.09234046018919197, -0.11896097489585311, 0.04973354350017794, 0.2696294553451619, -0.24591882009122332, -0.27723992082400845, 0.08270120034901962, -0.25004308558314825, -0.1730757306203625, 0.20162980443150816, -0.09621181869405811, 0.09929493942566342, 0.07504770469109891, -0.06214306101358843, -0.031034102915959844, -0.1994390338343584, 0.30011627654213524, 0.052057973870324854, 0.27149443039512733, 0.12542017309342401, 0.1306743783722395, -0.005060178835450088, -0.045663356709972784, 0.02537600805793526, -0.25137459835574283, 0.08768933425831088, 0.22407489352054516, 0.11701329235161134, 0.23951195140953285, -0.4398688958421097, -0.22818519751999086, 0.08063588623683583, 0.06531228346481793, 0.17000958224624332, -0.09897691116005308, -0.23675520242965323, 0.10604552578938714, -0.15263757704741368, -0.21440200793351663, -0.14638842339232816, 0.048312455376262886, 0.025628938008162936, -0.3271296954382274, 0.1475647352512539, 0.14033979821508213, 0.1089625574364248, -0.09347248556569882, -0.0533710530627582, -0.008513553573165909, 0.04263931135765387, 0.05186632878967892, -0.05701628244497766, 0.04176248828643712, -0.04125384145053262, -0.12446079557856261, 0.3457348424373037, -0.08031208870016922, -0.1660744335699207, 0.14769774220757564, -0.1309191515842863, -0.13508009870726048, 0.05340331267186646, 0.1532110370206252, 0.10036856358561574, -0.13557779670582484, 0.04851653297348895, -0.11793424193826267, 0.10735830569923935, 0.07418686979829128, -0.021716211827755984, 0.1313301985451983, 0.161571683441052, 0.1358095964858845, 0.16521681709830666, -0.04943293596665233, -0.09487842368277705, -0.39170222469976457, -0.18138386882936297, -0.16532948903218544, 0.07061363980016214, -0.10361774504096918, -0.09422900794484353, 0.35801964853022056, 0.15446173859034049, 0.15657319128513336, 0.12091049734479353, 0.22002724830013842, 0.13464398386343618, 0.0028658630168538982, 0.0744030204743652, 0.28789361297957977, 0.1788310212896095, 0.1474940557569518, -0.25153930694401516, 0.06040414552780468, 0.1269669173506357] |
709.3361 | On a property of the number 977731833235239280 | We solve a theoretical arithmetics problem stated by Wac{\l}aw Sierpi\'nski.
The problem has remained open for a couple of decades.
| math.NT | we solve a theoretical arithmetics problem stated by waclaw sierpinski the problem has remained open for a couple of decades | [['we', 'solve', 'a', 'theoretical', 'arithmetics', 'problem', 'stated', 'by', 'waclaw', 'sierpinski', 'the', 'problem', 'has', 'remained', 'open', 'for', 'a', 'couple', 'of', 'decades']] | [-0.11118867218886551, 0.05541239159279748, -0.08550653268436068, 0.08923133854803286, -0.09524571856385783, -0.1772119055355066, 0.035717233427261054, 0.3851537833872594, -0.34180480280989095, -0.30405972388229874, 0.19185461385763788, -0.2607462243422082, -0.1129173455563815, 0.24341865452496628, -0.12634205935817017, 0.19754816616248144, 0.11524233594536781, -0.013892792067245432, -0.02863313125348405, -0.3224068261486919, 0.2904557456311427, -0.0729304258956721, 0.16255851227201915, 0.17850764046766257, 0.16986500099301338, -0.058963221522342214, -0.0025910285154455586, 0.032639620016868175, -0.15781398477817052, 0.14592827110257195, 0.23755187845151676, 0.15853204342879748, 0.4140001484437993, -0.4361803410084624, -0.2627023497694417, 0.10269790392761168, 0.18245800981592192, 0.11056862232324324, -0.07200687672746808, -0.1824096178537921, 0.05316099779386269, -0.08662031654660639, -0.15712561862739294, 0.012401112992512552, 0.08733935622302325, -0.1406242569026194, -0.1458490622278891, 0.061110465444232286, 0.07031474135031826, 0.09097464985557292, -0.12487349678811274, -0.11485155083631214, 0.23028871220977684, 0.1254608418032723, 0.01926882525807933, 0.03554295878367204, -0.022844327393134956, -0.08012634849077777, -0.25724496770846217, 0.3962993157145224, 0.03427553924388791, -0.222625325188825, 0.08334445232819569, -0.009283200519061402, -0.2034558091116579, 0.08747251018097527, 0.11750294537724633, 0.12786225111860977, -0.16292800303352506, 0.2799565379360789, -0.2349008926141419, 0.14625867330591732, 0.14234479786337992, -0.12341275034276278, 0.18961897551229126, 0.2497589211714895, 0.07063137087970972, 0.2082191213818365, 0.08496997270144914, -0.12638141861871668, -0.14876564425465308, -0.09693511869562299, -0.18342611977928563, 0.10558881914537203, 0.07228874824450988, -0.22284568302137286, 0.4511527301449525, 0.16943692678193512, 0.15600022085403142, 0.03263339052270902, 0.25014584648766014, 0.1260582950750464, 0.037743759185296336, 0.11180368217786676, 0.259760298227009, 0.23785936108202135, 0.09384236408789691, -0.11720051067440133, 0.03078427227017911, 0.10666821897029877] |
709.3362 | Standard-smooth hybrid inflation | We consider the extended supersymmetric Pati-Salam model which, for mu>0 and
universal boundary conditions, succeeds to yield experimentally acceptable
b-quark masses by moderately violating Yukawa unification. It is known that
this model can lead to new shifted or new smooth hybrid inflation. We show that
a successful two-stage inflationary scenario can be realized within this model
based only on renormalizable superpotential interactions. The cosmological
scales exit the horizon during the first stage of inflation, which is of the
standard hybrid type and takes place along the trivial flat direction with the
inflaton driven by radiative corrections. Spectral indices compatible with the
recent data can be achieved in global supersymmetry or minimal supergravity by
restricting the number of e-foldings of our present horizon during the first
inflationary stage. The additional e-foldings needed for solving the horizon
and flatness problems are naturally provided by a second stage of inflation,
which occurs mainly along the built-in new smooth hybrid inflationary path
appearing right after the destabilization of the trivial flat direction at its
critical point. Monopoles are formed at the end of the first stage of inflation
and are, subsequently, diluted by the second stage of inflation to become
utterly negligible in the present universe for almost all (for all) the allowed
values of the parameters in the case of global supersymmetry (minimal
supergravity).
| hep-ph astro-ph | we consider the extended supersymmetric patisalam model which for mu0 and universal boundary conditions succeeds to yield experimentally acceptable bquark masses by moderately violating yukawa unification it is known that this model can lead to new shifted or new smooth hybrid inflation we show that a successful twostage inflationary scenario can be realized within this model based only on renormalizable superpotential interactions the cosmological scales exit the horizon during the first stage of inflation which is of the standard hybrid type and takes place along the trivial flat direction with the inflaton driven by radiative corrections spectral indices compatible with the recent data can be achieved in global supersymmetry or minimal supergravity by restricting the number of efoldings of our present horizon during the first inflationary stage the additional efoldings needed for solving the horizon and flatness problems are naturally provided by a second stage of inflation which occurs mainly along the builtin new smooth hybrid inflationary path appearing right after the destabilization of the trivial flat direction at its critical point monopoles are formed at the end of the first stage of inflation and are subsequently diluted by the second stage of inflation to become utterly negligible in the present universe for almost all for all the allowed values of the parameters in the case of global supersymmetry minimal supergravity | [['we', 'consider', 'the', 'extended', 'supersymmetric', 'patisalam', 'model', 'which', 'for', 'mu0', 'and', 'universal', 'boundary', 'conditions', 'succeeds', 'to', 'yield', 'experimentally', 'acceptable', 'bquark', 'masses', 'by', 'moderately', 'violating', 'yukawa', 'unification', 'it', 'is', 'known', 'that', 'this', 'model', 'can', 'lead', 'to', 'new', 'shifted', 'or', 'new', 'smooth', 'hybrid', 'inflation', 'we', 'show', 'that', 'a', 'successful', 'twostage', 'inflationary', 'scenario', 'can', 'be', 'realized', 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709.3363 | Can a resonance theory be a renormalizable theory? | In this talk we make an exhaustive analysis of the possible chiral invariant
operators that may described the resonance decay S->pi pi. These provide at the
same time the only available chiral invariant structures for the loop
ultraviolet divergences in this amplitude. Independently of the order in
perturbation theory, we find just one single-trace term (four if multi-trace
operators are allowed), whose renormalization renders the matrix element
finite.
| hep-ph | in this talk we make an exhaustive analysis of the possible chiral invariant operators that may described the resonance decay spi pi these provide at the same time the only available chiral invariant structures for the loop ultraviolet divergences in this amplitude independently of the order in perturbation theory we find just one singletrace term four if multitrace operators are allowed whose renormalization renders the matrix element finite | [['in', 'this', 'talk', 'we', 'make', 'an', 'exhaustive', 'analysis', 'of', 'the', 'possible', 'chiral', 'invariant', 'operators', 'that', 'may', 'described', 'the', 'resonance', 'decay', 'spi', 'pi', 'these', 'provide', 'at', 'the', 'same', 'time', 'the', 'only', 'available', 'chiral', 'invariant', 'structures', 'for', 'the', 'loop', 'ultraviolet', 'divergences', 'in', 'this', 'amplitude', 'independently', 'of', 'the', 'order', 'in', 'perturbation', 'theory', 'we', 'find', 'just', 'one', 'singletrace', 'term', 'four', 'if', 'multitrace', 'operators', 'are', 'allowed', 'whose', 'renormalization', 'renders', 'the', 'matrix', 'element', 'finite']] | [-0.16720687466509201, 0.223301104922404, -0.11277938396532965, 0.10484009511042934, -0.0747583193005994, -0.12146915910382043, 0.012789650327142547, 0.34683306915137696, -0.24708765936905847, -0.22960742649978355, 0.09145560775547945, -0.30755478779182716, -0.1413826560601592, 0.06688339389203225, 0.01909089307574665, 0.07891141649280839, 0.03072355453075622, 0.11824614981656743, -0.10394312841013101, -0.2291547457468422, 0.3475938291247824, -0.001282116334871663, 0.2126714963438537, 0.06497537273475353, 0.04948722393087605, 0.0218966884935713, -0.09964420460164547, -0.04236505141563933, -0.09973006938665041, 0.09190127893003484, 0.2786313272492193, 0.0206967256278457, 0.16854220249361412, -0.4360959488241112, -0.16307747483883492, 0.08310587003635352, 0.1790713739293792, 0.10432114773977767, 0.003250639104996534, -0.26499573653563857, 0.06677019015392836, -0.1792672791189569, -0.17956970237633763, -0.11247260251205743, 0.0003967355758718708, -0.12025079809074454, -0.2885210092919057, 0.04655266927746946, 0.004863915602019166, 0.06298860755529911, -0.01025573626461932, -0.12105646930799327, 0.0012745285160182154, 0.12548737334744894, 0.07302001328549951, 0.008946261717937887, 0.11795647327295121, -0.09725271311232492, -0.10592842258184272, 0.3324516122777234, -0.08469895570134908, -0.18789290372446618, 0.10792482199202127, -0.18676531017648385, -0.17819457733318866, 0.12864962217110373, 0.08230512218056794, 0.1415217459503123, -0.16899883850505026, 0.17928749172246813, -0.024123711018439603, 0.19003191409180598, 0.08060205913395346, 0.07179420090773526, 0.16555652761941447, 0.062158384514452124, 0.05976459778214442, 0.07609557619948379, -0.018979434184182215, -0.10614167496318902, -0.43521307006149607, -0.06342558140921242, -0.12283078664811053, 0.046450130163815204, -0.0905229668612318, -0.21806212491355836, 0.424711832899929, 0.14025817056330303, 0.18891737207784043, 0.021584472358774615, 0.2656294313423774, 0.16126931486103466, 0.14745200933505068, 0.04657810238902183, 0.2571769565316465, 0.10784019373685998, 0.07329483452828273, -0.2644332809140906, -0.03036964651854599, 0.13580533746383427] |
709.3364 | Baryon Modes of B Meson Decays | The baryon decay modes of B,bar{B}-> N_{1}bar{N}_{2}(f),
bar{N}_{1}N_{2}(bar{f}) provide a frame work to test CP-invariance in baryon
sector. It is shown that in the rest frame of B, N_{1} and bar{N}_{2} come out
with longitudnal polarization lambda_{1}=lambda_{2}=\pm 1 with decay width
Gamma_{f}=Gamma_{f}^{++}+Gamma_{f}^{--} and the asymmetry parameter alpha
_{f}=\Delta \Gamma_{f}=\Gamma_{f}^{++}-Gamma_{f}^{--} . It is shown that CP
invariance prediction alpha_{f}=-\bar{alpha}_{bar{f}} can be tested in these
decay modes; especially in the time dependent decays of
B_{q}^{0}-bar{B}_{q}^{0} complex. Apart from this, it is shown that decay modes
B(bar{B})->N_{1}bar{N}_{2}(bar{N}_{1}N_{2}) and subsequent non leptonic decays
of N_{2},bar{N}_{2} or (N_{1},bar{N}_{1}) into hyperon (antihyperon) also
provide a frame work to study CP-odd observables in hyperon decays.
| hep-ph | the baryon decay modes of bbarb n_1barn_2f barn_1n_2barf provide a frame work to test cpinvariance in baryon sector it is shown that in the rest frame of b n_1 and barn_2 come out with longitudnal polarization lambda_1lambda_2pm 1 with decay width gamma_fgamma_fgamma_f and the asymmetry parameter alpha _fdelta gamma_fgamma_fgamma_f it is shown that cp invariance prediction alpha_fbaralpha_barf can be tested in these decay modes especially in the time dependent decays of b_q0barb_q0 complex apart from this it is shown that decay modes bbarbn_1barn_2barn_1n_2 and subsequent non leptonic decays of n_2barn_2 or n_1barn_1 into hyperon antihyperon also provide a frame work to study cpodd observables in hyperon decays | [['the', 'baryon', 'decay', 'modes', 'of', 'bbarb', 'n_1barn_2f', 'barn_1n_2barf', 'provide', 'a', 'frame', 'work', 'to', 'test', 'cpinvariance', 'in', 'baryon', 'sector', 'it', 'is', 'shown', 'that', 'in', 'the', 'rest', 'frame', 'of', 'b', 'n_1', 'and', 'barn_2', 'come', 'out', 'with', 'longitudnal', 'polarization', 'lambda_1lambda_2pm', '1', 'with', 'decay', 'width', 'gamma_fgamma_fgamma_f', 'and', 'the', 'asymmetry', 'parameter', 'alpha', '_fdelta', 'gamma_fgamma_fgamma_f', 'it', 'is', 'shown', 'that', 'cp', 'invariance', 'prediction', 'alpha_fbaralpha_barf', 'can', 'be', 'tested', 'in', 'these', 'decay', 'modes', 'especially', 'in', 'the', 'time', 'dependent', 'decays', 'of', 'b_q0barb_q0', 'complex', 'apart', 'from', 'this', 'it', 'is', 'shown', 'that', 'decay', 'modes', 'bbarbn_1barn_2barn_1n_2', 'and', 'subsequent', 'non', 'leptonic', 'decays', 'of', 'n_2barn_2', 'or', 'n_1barn_1', 'into', 'hyperon', 'antihyperon', 'also', 'provide', 'a', 'frame', 'work', 'to', 'study', 'cpodd', 'observables', 'in', 'hyperon', 'decays']] | [-0.06863278256067516, 0.2626001369673759, -0.09669431488973236, 0.10424844006713675, -0.06803805143817475, -0.18946200940561922, 0.036238794414767704, 0.3119991122499893, -0.23728746626232017, -0.20336357792042883, 0.001149150458360581, -0.2972616346994121, 0.002675130853037301, 0.1195726950481338, 0.09445319669811349, 0.05002219694862632, 0.10486712891020272, 0.04824992192382189, -0.014820143406426437, -0.20024455734773686, 0.26316195433273126, 0.03238452237748884, 0.2305579064462922, 0.07438767107301637, -0.028092076109820292, -0.05243259859026263, -0.06948745374224688, -0.02992352692312316, -0.13247266668009902, -0.004526064731180668, 0.19585386952875475, 0.14538679227821136, 0.1540694396550718, -0.34939925504946395, -0.1228809755295515, 0.1870335648816667, 0.20897115279773348, 0.11190982472739722, -0.04733256430994707, -0.3387007834340789, 0.10385304060519526, -0.14036019223889237, -0.08039412387236218, -0.12231650048082596, 0.06758453951854455, -0.07391393791246963, -0.3464938253605444, 0.1106773658235876, -0.0067563804160607486, -0.01653074871650652, -0.012336496045616896, -0.1505875037786992, -0.02315969749500877, 0.03357360709250267, 0.21505638953837516, 0.07510496218394684, 0.1418468875418368, -0.10055903326719999, -0.10054682949067731, 0.4133038861971152, -0.09395842749233309, -0.21788894906640052, 0.10979135364637171, -0.219277083805125, -0.1533844169278286, 0.14264073962296703, 0.18080732637991834, 0.06025890309951807, -0.1506360766330832, 0.1156209257216879, -0.01764799720166545, 0.18845376869369496, 0.09399772557969156, 0.10442846705156722, 0.19776438329564897, 0.16638135859056524, 0.007409101116814112, 0.0663375558037507, -0.060991171865086805, -0.026227829518335823, -0.3864510573924666, -0.1480569399256063, -0.10690487676153057, 0.07945213186505594, 0.0030343395956534598, -0.08264027106802371, 0.4167614865459894, 0.04829366513478913, 0.25496907231250876, 0.02046714576059266, 0.2913517122107901, 0.08571408540500622, 0.08416365149100066, 0.06150800637582219, 0.35546080070106606, 0.18360212472754556, 0.11562691861763597, -0.2773511150386184, 0.002705478849575708, -0.005369702834439905] |
709.3365 | A deep Large Binocular Telescope view of the Canes Venatici I dwarf
galaxy | We present the first deep color-magnitude diagram of the Canes Venatici I
(CVnI) dwarf galaxy from observations with the wide field Large Binocular
Camera on the Large Binocular Telescope. Reaching down to the main-sequence
turnoff of the oldest stars, it reveals a dichotomy in the stellar populations
of CVnI: it harbors an old (> 10 Gyr), metal-poor ([Fe/H] ~ -2.0) and spatially
extended population along with a much younger (~ 1.4-2.0 Gyr), 0.5 dex more
metal-rich, and spatially more concentrated population. These young stars are
also offset by 64_{-20}^{+40} pc to the East of the galaxy center. The data
suggest that this young population, which represent ~ 3-5 % of the stellar mass
of the galaxy within its half-light radius, should be identified with the
kinematically cold stellar component found by Ibata et al. (2006). CVnI
therefore follows the behavior of the other remote MW dwarf spheroidals which
all contain intermediate age and/or young populations: a complex star formation
history is possible in extremely low-mass galaxies.
| astro-ph | we present the first deep colormagnitude diagram of the canes venatici i cvni dwarf galaxy from observations with the wide field large binocular camera on the large binocular telescope reaching down to the mainsequence turnoff of the oldest stars it reveals a dichotomy in the stellar populations of cvni it harbors an old 10 gyr metalpoor feh 20 and spatially extended population along with a much younger 1420 gyr 05 dex more metalrich and spatially more concentrated population these young stars are also offset by 64_2040 pc to the east of the galaxy center the data suggest that this young population which represent 35 of the stellar mass of the galaxy within its halflight radius should be identified with the kinematically cold stellar component found by ibata et al 2006 cvni therefore follows the behavior of the other remote mw dwarf spheroidals which all contain intermediate age andor young populations a complex star formation history is possible in extremely lowmass galaxies | [['we', 'present', 'the', 'first', 'deep', 'colormagnitude', 'diagram', 'of', 'the', 'canes', 'venatici', 'i', 'cvni', 'dwarf', 'galaxy', 'from', 'observations', 'with', 'the', 'wide', 'field', 'large', 'binocular', 'camera', 'on', 'the', 'large', 'binocular', 'telescope', 'reaching', 'down', 'to', 'the', 'mainsequence', 'turnoff', 'of', 'the', 'oldest', 'stars', 'it', 'reveals', 'a', 'dichotomy', 'in', 'the', 'stellar', 'populations', 'of', 'cvni', 'it', 'harbors', 'an', 'old', '10', 'gyr', 'metalpoor', 'feh', '20', 'and', 'spatially', 'extended', 'population', 'along', 'with', 'a', 'much', 'younger', '1420', 'gyr', '05', 'dex', 'more', 'metalrich', 'and', 'spatially', 'more', 'concentrated', 'population', 'these', 'young', 'stars', 'are', 'also', 'offset', 'by', '64_2040', 'pc', 'to', 'the', 'east', 'of', 'the', 'galaxy', 'center', 'the', 'data', 'suggest', 'that', 'this', 'young', 'population', 'which', 'represent', '35', 'of', 'the', 'stellar', 'mass', 'of', 'the', 'galaxy', 'within', 'its', 'halflight', 'radius', 'should', 'be', 'identified', 'with', 'the', 'kinematically', 'cold', 'stellar', 'component', 'found', 'by', 'ibata', 'et', 'al', '2006', 'cvni', 'therefore', 'follows', 'the', 'behavior', 'of', 'the', 'other', 'remote', 'mw', 'dwarf', 'spheroidals', 'which', 'all', 'contain', 'intermediate', 'age', 'andor', 'young', 'populations', 'a', 'complex', 'star', 'formation', 'history', 'is', 'possible', 'in', 'extremely', 'lowmass', 'galaxies']] | [-0.027207713916141074, 0.14368499556667302, -0.10537750959629193, 0.11390673728310503, -0.14951175955065993, -0.06700594968278892, 0.06237175555870635, 0.4314489312469959, -0.13003617219874286, -0.4165434158872813, 0.0009739807981532067, -0.26554948485354546, -0.012035239183751401, 0.18008573814513512, -0.11730600726878038, -0.1313310167290183, 0.10877344175241888, -0.09838727469468722, 0.011116903430593083, -0.3281436375968042, 0.29394116286130156, 0.01739861992664373, 0.07840688476135256, -0.14830881571979262, 0.021207459650759118, -0.135924103364232, -0.07195470464066603, -0.06568018470716197, -0.14799537333697116, 0.006932277331361547, 0.2801421615498839, 0.14259716161177494, 0.2518838199728634, -0.30097011955222114, -0.17441242216154934, 0.02804808208165923, 0.2661790770158404, 0.020280128439480904, -0.13952542657807498, -0.32832260814029723, 0.059334246476282715, -0.2100041099722148, -0.24243292734608984, 0.18140511672245338, 0.09571406103859773, 0.004214276622224134, -0.1717390269972384, 0.20453143703034585, 0.017392165322962682, 0.15724698909907603, -0.12454169399716193, -0.16521552847116255, -0.0863339418930991, 0.08342690525460057, -0.04255818051606184, 0.10393311429288588, 0.1802862348675262, -0.11542629881587345, 0.056547176451567795, 0.3779160204809159, -0.05734250265159062, 0.09999772023875267, 0.26407766962656753, -0.24131440490600653, -0.1993926407303661, 0.07421030316618271, 0.11002102436032146, 0.13917059902159962, -0.2085653573187301, 0.013636214730649954, -0.04461428105350933, 0.24358169778133743, 0.029028221328917424, 0.039419021118646924, 0.3685776814527344, 0.13172097023234527, 0.05835677546565421, 0.02566687340986391, -0.2989514906104887, -0.09357581813492288, -0.1366582462193037, -0.0791768503944695, -0.07504858690299443, 0.09726282755436841, -0.1973827071253254, -0.13447810652432962, 0.3182117756281514, 0.10289167252776679, 0.23616106059052983, 0.07282408548344392, 0.27629754252557176, 0.033292516932124275, 0.1872334765474079, 0.1719235100055812, 0.28426818776060825, 0.22841686971732997, 0.07296865598327713, -0.24779816388263498, 0.06896221259667072, -0.06031299898313591] |
709.3366 | Jozso's Legacy: Chemical and Kinetic Freeze-out in Heavy-Ion Collisions | We review J. Zimanyi's key contributions to the theoretical understanding of
dynamical freeze-out in nuclear collisions and their subsequent applications to
ultra-relativistic heavy-ion collisions, leading to the discovery of a
freeze-out hierarchy where chemical freeze-out of hadron yields precedes the
thermal decoupling of their momentum spectra. Following Zimanyi's lines of
reasoning we show that kinetic freeze-out necessarily leads to a dependence of
the corresponding freeze-out temperature on collision centrality. This
centrality dependence can be predicted within hydrodynamic models, and for
Au+Au collisions at RHIC this prediction is shown to reproduce the
experimentally observed centrality dependence of the thermal decoupling
temperature, extracted from hadron momentum spectra. The fact that no such
centrality dependence is observed for the chemical decoupling temperature,
extracted from the hadron yields measured in these collisions, excludes a
similar kinetic interpretation of the chemical decoupling process. We argue
that the chemical decoupling data from Au+Au collisions at RHIC can only be
consistently understood if the chemical freeze-out process is driven by a phase
transition, and that the measured chemical decoupling temperature therefore
measures the critical temperature of the quark-hadron phase transition. We
propose additional experiments to further test this interpretation.
| nucl-th | we review j zimanyis key contributions to the theoretical understanding of dynamical freezeout in nuclear collisions and their subsequent applications to ultrarelativistic heavyion collisions leading to the discovery of a freezeout hierarchy where chemical freezeout of hadron yields precedes the thermal decoupling of their momentum spectra following zimanyis lines of reasoning we show that kinetic freezeout necessarily leads to a dependence of the corresponding freezeout temperature on collision centrality this centrality dependence can be predicted within hydrodynamic models and for auau collisions at rhic this prediction is shown to reproduce the experimentally observed centrality dependence of the thermal decoupling temperature extracted from hadron momentum spectra the fact that no such centrality dependence is observed for the chemical decoupling temperature extracted from the hadron yields measured in these collisions excludes a similar kinetic interpretation of the chemical decoupling process we argue that the chemical decoupling data from auau collisions at rhic can only be consistently understood if the chemical freezeout process is driven by a phase transition and that the measured chemical decoupling temperature therefore measures the critical temperature of the quarkhadron phase transition we propose additional experiments to further test this interpretation | [['we', 'review', 'j', 'zimanyis', 'key', 'contributions', 'to', 'the', 'theoretical', 'understanding', 'of', 'dynamical', 'freezeout', 'in', 'nuclear', 'collisions', 'and', 'their', 'subsequent', 'applications', 'to', 'ultrarelativistic', 'heavyion', 'collisions', 'leading', 'to', 'the', 'discovery', 'of', 'a', 'freezeout', 'hierarchy', 'where', 'chemical', 'freezeout', 'of', 'hadron', 'yields', 'precedes', 'the', 'thermal', 'decoupling', 'of', 'their', 'momentum', 'spectra', 'following', 'zimanyis', 'lines', 'of', 'reasoning', 'we', 'show', 'that', 'kinetic', 'freezeout', 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709.3367 | Implementing Few-Body Algorithmic Regularization with Post-Newtonian
Terms | We discuss the implementation of a new regular algorithm for simulation of
the gravitational few-body problem. The algorithm uses components from earlier
methods, including the chain structure, the logarithmic Hamiltonian, and the
time-transformed leapfrog. This algorithmic regularization code, AR-CHAIN, can
be used for the normal N-body problem, as well as for problems with softened
potentials and/or with velocity-dependent external perturbations, including
post-Newtonian terms, which we include up to order PN2.5. Arbitrarily extreme
mass ratios are allowed. Only linear coordinate transformations are used and
thus the algorithm is somewhat simpler than many earlier regularized schemes.
We present the results of performance tests which suggest that the new code is
either comparable in performance or superior to the existing regularization
schemes based on the Kustaanheimo-Stiefel (KS) transformation. This is true
even for the two-body problem, independent of eccentricity. An important
advantage of the new method is that, contrary to the older KS-CHAIN code, zero
masses are allowed. We use our algorithm to integrate the orbits of the S stars
around the Milky Way supermassive black hole for one million years, including
PN2.5 terms and an intermediate-mass black hole. The three S stars with
shortest periods are observed to escape from the system after a few hundred
thousand years.
| astro-ph | we discuss the implementation of a new regular algorithm for simulation of the gravitational fewbody problem the algorithm uses components from earlier methods including the chain structure the logarithmic hamiltonian and the timetransformed leapfrog this algorithmic regularization code archain can be used for the normal nbody problem as well as for problems with softened potentials andor with velocitydependent external perturbations including postnewtonian terms which we include up to order pn25 arbitrarily extreme mass ratios are allowed only linear coordinate transformations are used and thus the algorithm is somewhat simpler than many earlier regularized schemes we present the results of performance tests which suggest that the new code is either comparable in performance or superior to the existing regularization schemes based on the kustaanheimostiefel ks transformation this is true even for the twobody problem independent of eccentricity an important advantage of the new method is that contrary to the older kschain code zero masses are allowed we use our algorithm to integrate the orbits of the s stars around the milky way supermassive black hole for one million years including pn25 terms and an intermediatemass black hole the three s stars with shortest periods are observed to escape from the system after a few hundred thousand years | [['we', 'discuss', 'the', 'implementation', 'of', 'a', 'new', 'regular', 'algorithm', 'for', 'simulation', 'of', 'the', 'gravitational', 'fewbody', 'problem', 'the', 'algorithm', 'uses', 'components', 'from', 'earlier', 'methods', 'including', 'the', 'chain', 'structure', 'the', 'logarithmic', 'hamiltonian', 'and', 'the', 'timetransformed', 'leapfrog', 'this', 'algorithmic', 'regularization', 'code', 'archain', 'can', 'be', 'used', 'for', 'the', 'normal', 'nbody', 'problem', 'as', 'well', 'as', 'for', 'problems', 'with', 'softened', 'potentials', 'andor', 'with', 'velocitydependent', 'external', 'perturbations', 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709.3368 | Track Based Alignment in CMS | The strategy for track based alignment of the CMS tracking and muon detectors
is presented. After an overview over the used data samples, the general
alignment strategy is presented, with a focus of the procedures envisaged at
the start of data taking in 2008. The three currently used alignment algorithms
are discussed and first results on their application to the CMS tracker are
presented, as well as studies on the alignment of the Muon detector with
tracks.
| physics.ins-det | the strategy for track based alignment of the cms tracking and muon detectors is presented after an overview over the used data samples the general alignment strategy is presented with a focus of the procedures envisaged at the start of data taking in 2008 the three currently used alignment algorithms are discussed and first results on their application to the cms tracker are presented as well as studies on the alignment of the muon detector with tracks | [['the', 'strategy', 'for', 'track', 'based', 'alignment', 'of', 'the', 'cms', 'tracking', 'and', 'muon', 'detectors', 'is', 'presented', 'after', 'an', 'overview', 'over', 'the', 'used', 'data', 'samples', 'the', 'general', 'alignment', 'strategy', 'is', 'presented', 'with', 'a', 'focus', 'of', 'the', 'procedures', 'envisaged', 'at', 'the', 'start', 'of', 'data', 'taking', 'in', '2008', 'the', 'three', 'currently', 'used', 'alignment', 'algorithms', 'are', 'discussed', 'and', 'first', 'results', 'on', 'their', 'application', 'to', 'the', 'cms', 'tracker', 'are', 'presented', 'as', 'well', 'as', 'studies', 'on', 'the', 'alignment', 'of', 'the', 'muon', 'detector', 'with', 'tracks']] | [-0.04813509334072277, 0.072303478716602, -0.06600544004785744, 0.059012913825474196, -0.021613918843546083, -0.09924977186268993, -0.0393782446959189, 0.38780180626101307, -0.18412949841517906, -0.37754773511853695, 0.15103668481710233, -0.2991359762532951, -0.054377678564036046, 0.23732868506113527, -0.04592229895801707, 0.10443857319459512, 0.1098990487539536, 0.03847977740980395, -0.07601248621093956, -0.2805662765470031, 0.2604715074593951, 0.1475200927393003, 0.3195458659539362, 0.013206633799648905, 0.14735420494848353, 0.05719187808549636, -0.12685008332520337, -0.00894447560603549, -0.12310976250847051, 0.09026284968214375, 0.2696185055878255, 0.16554130599289746, 0.17467848417143544, -0.4289936419915069, -0.09333060454432067, 0.038518326453767814, 0.09586338235621715, 0.08672444212746311, -0.1289289934929557, -0.3219414603013497, 0.10855106431869911, -0.14942206922531515, -0.08197791151121839, -0.007593347932901475, -0.0564467827849961, 0.039151445418209224, -0.25871437158006205, -0.009636063987461778, 0.03869285886387595, 0.06271956929961195, -0.06555406466223203, -0.18714361652193665, 0.03009648831839395, 0.1292702735268644, 0.0790854967320217, 0.042091055144253486, 0.12395108615157086, -0.11458076990221615, -0.19908470674962192, 0.3524725458088827, -0.02254874422517303, -0.19530214521695266, 0.21123288983370286, -0.09273160171586198, -0.10052072842206274, 0.11330765732503556, 0.20719930678364132, 0.12869549959946375, -0.20317643290603316, 0.03347572915153215, 0.03156704237902319, 0.12357152113086217, -0.010412693567961068, 0.0008869702457571281, 0.18834710777616248, 0.29415374332676075, 0.07841565191455475, 0.11234944007909772, -0.1791863572396725, -0.06267665237091578, -0.3531225594607266, -0.11602804446351025, -0.1613910806716069, -0.08330080337677297, 0.002614209410664928, -0.09001316730078164, 0.40837524636488337, 0.1369031724556313, 0.23861642157683124, -0.005525632785609016, 0.36004699389268824, 0.023242835049190884, 0.0949870041819507, 0.005683612347544207, 0.28926824791925393, 0.08196914196014404, 0.14931777769596885, -0.20775685205378316, 0.0778229482979937, 0.043589976709940796] |
709.3369 | On the magnetically driven ferroelectric phase in GdMnO3 | At room temperature, GdMnO3 is a paraelectric and paramagnetic with a
distorted perovskite structure of orthorhombic symmetry (space group Pnma). On
cooling, it undergoes a phase transition sequence to a magnetic incommensurate
phase (k=delta a*; Tc1=42K) and a A-type antiferromagnetic phase (Tc2=27K). At
low temperatures (T<12K), a magnetic field applied along the a-axis
destabilizes the antiferromagnetic phase and induces a first order transition
to a magnetic commensurate modulated phase (delta=1/4) that is also
ferroelectric (P//c). This work analyses this field induced phase transition
from the point of view of the symmetry and Landau theory.
| cond-mat.mtrl-sci | at room temperature gdmno3 is a paraelectric and paramagnetic with a distorted perovskite structure of orthorhombic symmetry space group pnma on cooling it undergoes a phase transition sequence to a magnetic incommensurate phase kdelta a tc142k and a atype antiferromagnetic phase tc227k at low temperatures t12k a magnetic field applied along the aaxis destabilizes the antiferromagnetic phase and induces a first order transition to a magnetic commensurate modulated phase delta14 that is also ferroelectric pc this work analyses this field induced phase transition from the point of view of the symmetry and landau theory | [['at', 'room', 'temperature', 'gdmno3', 'is', 'a', 'paraelectric', 'and', 'paramagnetic', 'with', 'a', 'distorted', 'perovskite', 'structure', 'of', 'orthorhombic', 'symmetry', 'space', 'group', 'pnma', 'on', 'cooling', 'it', 'undergoes', 'a', 'phase', 'transition', 'sequence', 'to', 'a', 'magnetic', 'incommensurate', 'phase', 'kdelta', 'a', 'tc142k', 'and', 'a', 'atype', 'antiferromagnetic', 'phase', 'tc227k', 'at', 'low', 'temperatures', 't12k', 'a', 'magnetic', 'field', 'applied', 'along', 'the', 'aaxis', 'destabilizes', 'the', 'antiferromagnetic', 'phase', 'and', 'induces', 'a', 'first', 'order', 'transition', 'to', 'a', 'magnetic', 'commensurate', 'modulated', 'phase', 'delta14', 'that', 'is', 'also', 'ferroelectric', 'pc', 'this', 'work', 'analyses', 'this', 'field', 'induced', 'phase', 'transition', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'symmetry', 'and', 'landau', 'theory']] | [-0.24124661049015983, 0.3166252645137517, -0.07549027551684286, -0.038845129650207644, -0.0865848906991153, -0.09714362322373073, 0.16268588396538372, 0.43877378292381763, -0.28177529458543693, -0.21925256512654218, 0.04911080044289322, -0.2982109017649908, -0.1538588497079099, 0.07014642203727778, 0.09291164356830489, -0.08108906307556342, -0.0975310746681593, 0.030677826019160893, -0.21146182058146223, -0.13793916663954683, 0.2504680309211835, -0.02076985530109833, 0.29973499499180395, -0.0011750025644331522, 0.07252329510494905, -0.06866554754861168, 0.23482342681888005, 0.02898682632107723, -0.16991911370235396, -0.06256395132969254, 0.2541854787395214, -0.15121764855196132, 0.14066589998496373, -0.3640261752045025, -0.20196708373259753, 0.024180773911370045, 0.0968964666472343, 0.15510684972547967, -0.11960635567716647, -0.3176980678893059, 0.04379598811615522, -0.10606393982711977, -0.13086206086977062, -0.11207126341152775, -0.05573658257186332, -0.09145984108276341, -0.28817268122981227, 0.11410104116626114, 0.10543086468849493, 0.17358588650012793, -0.14037160602722154, -0.08243687073295207, -0.10607884993331264, 0.022827431969547077, 0.05373470241244396, 0.2590066781773677, 0.15676771884065363, -0.0506693996532071, -0.09398669314206294, 0.40306784625104425, -0.036048966547241434, 0.0526181751445857, 0.11152029165026286, -0.24210231758289688, -0.12511723782644485, 0.2962227330806301, 0.08533449884271249, 0.07299871602520833, -0.04148007566476261, 0.09657769198763519, 0.07628054489665058, 0.23330924260770428, 0.04322959098752345, 0.01357669796814899, 0.2735075546307084, 0.2125874119178068, 0.038088669737234064, 0.18665876841860946, -0.1212718078952647, -0.09644431875937659, -0.21822253143941256, -0.16247823952353033, -0.19068091012456495, 0.019546062442595543, -0.12939959828698824, -0.23696998905633454, 0.3898977718933526, 0.13750489611613928, 0.16176527644426603, -0.1014491757782905, 0.2612075341622467, 0.05358738386649233, 0.04373890102547391, 0.007414589772689278, 0.21160421503009275, 0.2393204793435238, 0.17793631150751657, -0.27487110149915045, 0.047435408182259976, 0.05280641510635969] |
709.337 | Nucleon form factors on the lattice with light dynamical fermions | The electromagnetic form factors provide important insight into the internal
structure of the nucleon and continue to be of major interest for experiment
and phenomenology. For an intermediate range of momenta the form factors can be
calculated on the lattice. However, the reliability of the results is limited
by systematic errors mostly due to the required extrapolation to physical quark
masses. Chiral effective field theories predict a rather strong quark mass
dependence in a range which was yet inaccessible for lattice simulations. We
give an update on recent results from the QCDSF collaboration using gauge
configurations with dynamical Nf=2, non-perturbatively O(a)-improved Wilson
fermions at pion masses as low as 350 MeV.
| hep-lat | the electromagnetic form factors provide important insight into the internal structure of the nucleon and continue to be of major interest for experiment and phenomenology for an intermediate range of momenta the form factors can be calculated on the lattice however the reliability of the results is limited by systematic errors mostly due to the required extrapolation to physical quark masses chiral effective field theories predict a rather strong quark mass dependence in a range which was yet inaccessible for lattice simulations we give an update on recent results from the qcdsf collaboration using gauge configurations with dynamical nf2 nonperturbatively oaimproved wilson fermions at pion masses as low as 350 mev | [['the', 'electromagnetic', 'form', 'factors', 'provide', 'important', 'insight', 'into', 'the', 'internal', 'structure', 'of', 'the', 'nucleon', 'and', 'continue', 'to', 'be', 'of', 'major', 'interest', 'for', 'experiment', 'and', 'phenomenology', 'for', 'an', 'intermediate', 'range', 'of', 'momenta', 'the', 'form', 'factors', 'can', 'be', 'calculated', 'on', 'the', 'lattice', 'however', 'the', 'reliability', 'of', 'the', 'results', 'is', 'limited', 'by', 'systematic', 'errors', 'mostly', 'due', 'to', 'the', 'required', 'extrapolation', 'to', 'physical', 'quark', 'masses', 'chiral', 'effective', 'field', 'theories', 'predict', 'a', 'rather', 'strong', 'quark', 'mass', 'dependence', 'in', 'a', 'range', 'which', 'was', 'yet', 'inaccessible', 'for', 'lattice', 'simulations', 'we', 'give', 'an', 'update', 'on', 'recent', 'results', 'from', 'the', 'qcdsf', 'collaboration', 'using', 'gauge', 'configurations', 'with', 'dynamical', 'nf2', 'nonperturbatively', 'oaimproved', 'wilson', 'fermions', 'at', 'pion', 'masses', 'as', 'low', 'as', '350', 'mev']] | [-0.08133884907389681, 0.26209493907119213, -0.08708300440874253, 0.10240120333850149, -0.07032396601274954, -0.05385995944563367, 0.09004076045879104, 0.3755484333446434, -0.14909614493382406, -0.3298242894202672, 0.05523141175886062, -0.25294239280392994, -0.04304634412616357, 0.1625505457674195, 0.051087504026253484, 0.07810240556897076, 0.062203676217478944, 0.019270828864505717, -0.09970254251976741, -0.20857853801535056, 0.3321884435513434, 0.08564779618838886, 0.2321703001890365, 0.15959967217231924, 0.05777247362929556, 0.000876778668539414, -0.02513400682381633, -0.030523264849860524, -0.10907755936454008, 0.06463748774583544, 0.19215287030821349, 0.001669130151722211, 0.17778283574509327, -0.39688676234905246, -0.1897657831254004, 0.04108941856444486, 0.16160605226953825, 0.13109240166922645, -0.049505186017585905, -0.2912530169658665, 0.07888268284197594, -0.20878845587507025, -0.16001312083120015, -0.14320379451991203, -0.00948908430343779, -0.034937255542834396, -0.3109053338836954, 0.049995776824600706, -0.06648222741021707, 0.08927229491402269, -0.044285084422979806, -0.21757378959755605, -0.007356790053817603, 0.13590683207557713, 0.09573848021367716, 0.11080034133801991, 0.14634528882205822, -0.18104453269299958, -0.12128892627351724, 0.45868915260710696, -0.04229080064016654, -0.17430729319987534, 0.1613204856177683, -0.15021456968928645, -0.14074691266308095, 0.1391352836143195, 0.2033668081816244, 0.05233502493718186, -0.1977019911251232, 0.08332854496060267, -0.04495031745718406, 0.19686273999432488, 0.056682706911217524, 0.06414332380098803, 0.27850804997289236, 0.15865946796026315, -0.022254302552355838, 0.06654406470028465, -0.01911392936751515, -0.10120578950925453, -0.30541852286068705, -0.055720182559411, -0.12885295167179392, 0.09523267942472352, -0.1088745393293442, -0.10575257166632795, 0.377618023261495, 0.15326389097314966, 0.23162844408773356, 0.016750246803444047, 0.26745366581992525, 0.09398188283625017, 0.13265963649662496, 0.03767402728742643, 0.27301199468658177, 0.1872160281012724, 0.10302716188199885, -0.260672440678972, -0.04522298045586459, 0.07490244019474532] |
709.3371 | Search for the C-parity violating process J/psi->gamma gamma via
psi(2S)->pi+pi- J/psi | Using 14.0\times 10^6 \psi(2S) events collected with the BES-II detector, the
C-parity violating process J/psi->gamma gamma via psi(2S)->pi+pi- J/psi is
studied. We determine a new upper limit for the J/psi->gamma gamma branching
ratio of B(J/psi->gamma gamma)<2.2\times 10^{-5} at the 90% C.L., which is
about 20 times lower than the previous measurement.
| hep-ex | using 140times 106 psi2s events collected with the besii detector the cparity violating process jpsigamma gamma via psi2spipi jpsi is studied we determine a new upper limit for the jpsigamma gamma branching ratio of bjpsigamma gamma22times 105 at the 90 cl which is about 20 times lower than the previous measurement | [['using', '140times', '106', 'psi2s', 'events', 'collected', 'with', 'the', 'besii', 'detector', 'the', 'cparity', 'violating', 'process', 'jpsigamma', 'gamma', 'via', 'psi2spipi', 'jpsi', 'is', 'studied', 'we', 'determine', 'a', 'new', 'upper', 'limit', 'for', 'the', 'jpsigamma', 'gamma', 'branching', 'ratio', 'of', 'bjpsigamma', 'gamma22times', '105', 'at', 'the', '90', 'cl', 'which', 'is', 'about', '20', 'times', 'lower', 'than', 'the', 'previous', 'measurement']] | [-0.06594929303997671, 0.24269812192995938, -0.02328374548530092, 0.11929585116729645, -0.0012730524438072223, -0.09092105312120853, 0.18044157972445293, 0.2366636166044948, -0.07644931259279956, -0.321590890461693, 0.025923592390074413, -0.4162415973842144, 0.12434877311734825, 0.1967905676039886, 0.10949001424204634, 0.09338467273557065, 0.10400844678966975, 0.03621387534432721, -0.034205582057011824, -0.18649945907978988, 0.13990967678932512, 0.09065702952900712, 0.23832128356610024, 0.07373222556649422, 0.03845670013403406, 0.002138963349315585, -0.053602171757695626, -0.14722495039506833, -0.23391208602875777, 0.010126444796214298, 0.2027282960171222, 0.12623356069837297, 0.08084458573626316, -0.30146156186808126, -0.015539547694580895, 0.18661659362497834, 0.13809740998573145, -0.04637308198987145, 0.05101535134777731, -0.4017327157210331, 0.18587077602896154, -0.19365410039163367, -0.010677311683491784, 0.06355213050787546, 0.07295120317412883, -0.1498456098595444, -0.35157031402448, 0.13768632861082347, -0.06925176228491628, 0.03393867132384615, 0.023130403641535312, -0.2576816410173149, 0.007399987800008789, -0.06091051777748733, 0.03567952720617058, 0.12329796177087998, 0.2423410462975806, -0.04905219246842423, -0.17006726289994786, 0.3450548516168278, -0.11185799623757592, -0.11059357625033174, 0.12415259546239157, -0.28142745384224216, -0.16475842465475507, 0.2938515521604948, 0.22681051523101572, 0.0874640098345295, -0.24657252529750065, 0.09044053162239035, -0.007129287190393222, 0.18018424830266408, 0.14401224963557052, 0.05699023650008805, 0.08638010300429803, 0.2449758635947899, -0.010304958255467365, 0.06632564379358474, -0.14722340987349042, 0.01484484955364344, -0.3548002993516928, -0.11426064270377463, -0.0391333194744146, 0.1802015951597037, -0.0928992473862457, 0.019796103127395773, 0.2880952274236752, 0.0370037116832575, 0.35192473278361924, 0.05560307430188951, 0.2637765609792301, 0.18941728339283442, -0.01728770654762582, 0.06256815763570521, 0.34161188461038533, 0.18254492160084904, 0.10475987355623927, -0.19296202798402506, 0.08823490362823466, -0.014382789339109952] |
709.3372 | Two-dimensional Radiation-hydrodynamic Model for Supercritical Disk
Accretion Flows onto Neutron Stars | We performed two-dimensional radiation hydrodynamic simulations of
supercritical accretion flows around neutron stars (NSs). In contrast with the
accretion flows onto black holes (BHs), we find that the shell-shaped
high-density regions form around the NSs, since the radiation force is enhanced
in the innermost regions. The enhanced radiation force drives strong outflows
above and below the disk. The mass-accretion rate onto the NS exceeds the
critical rate, $L_{\rm E}/c^2$, with $L_{\rm E}$ being the Eddington
luminosity. However it is about $20-30%$ of that onto the BH, under the
condition that we employ the same mass-input rate, $\dot{M}_{\rm input}$, which
is mass injected from the outer disk boundary per unit time. The mass-outflow
rate is a few-times larger in flows around NSs than in flows around BHs. The
supercritical NS accretion flows mainly release the accretion energy as the
kinetic energy of the outflows, though the disk luminosity is predominant over
the kinetic energy output rate in the BH accretion flows. The resulting
velocity and mass-outflow rate of the outflows are $0.2-0.3c$ and
$150-700L_{\rm E}/c^2$, respectively, for the mass-input rate of $3\times
10^2\lsim \dot{M}_{\rm input}/(L_{\rm E}/c^2)\lsim 3\times 10^3$. This implies
that the SS433 jets can be roughly explained by the supercritical accretion
onto a NS. However, the collimation angle of the outflows in our simulations
($\sim 20^\circ$) is larger than that of the SS433 jets (a few degrees).
| astro-ph | we performed twodimensional radiation hydrodynamic simulations of supercritical accretion flows around neutron stars nss in contrast with the accretion flows onto black holes bhs we find that the shellshaped highdensity regions form around the nss since the radiation force is enhanced in the innermost regions the enhanced radiation force drives strong outflows above and below the disk the massaccretion rate onto the ns exceeds the critical rate l_rm ec2 with l_rm e being the eddington luminosity however it is about 2030 of that onto the bh under the condition that we employ the same massinput rate dotm_rm input which is mass injected from the outer disk boundary per unit time the massoutflow rate is a fewtimes larger in flows around nss than in flows around bhs the supercritical ns accretion flows mainly release the accretion energy as the kinetic energy of the outflows though the disk luminosity is predominant over the kinetic energy output rate in the bh accretion flows the resulting velocity and massoutflow rate of the outflows are 0203c and 150700l_rm ec2 respectively for the massinput rate of 3times 102lsim dotm_rm inputl_rm ec2lsim 3times 103 this implies that the ss433 jets can be roughly explained by the supercritical accretion onto a ns however the collimation angle of the outflows in our simulations sim 20circ is larger than that of the ss433 jets a few degrees | [['we', 'performed', 'twodimensional', 'radiation', 'hydrodynamic', 'simulations', 'of', 'supercritical', 'accretion', 'flows', 'around', 'neutron', 'stars', 'nss', 'in', 'contrast', 'with', 'the', 'accretion', 'flows', 'onto', 'black', 'holes', 'bhs', 'we', 'find', 'that', 'the', 'shellshaped', 'highdensity', 'regions', 'form', 'around', 'the', 'nss', 'since', 'the', 'radiation', 'force', 'is', 'enhanced', 'in', 'the', 'innermost', 'regions', 'the', 'enhanced', 'radiation', 'force', 'drives', 'strong', 'outflows', 'above', 'and', 'below', 'the', 'disk', 'the', 'massaccretion', 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709.3373 | Hyperbolicity of general deformations: proofs | We modify the deformation method explored previously in a joint work of B.
Shiffman and the author, in order to construct further examples of Kobayashi
hyperbolic surfaces in the projective 3-space of any even degree starting with
degree 8.
| math.AG math.CV | we modify the deformation method explored previously in a joint work of b shiffman and the author in order to construct further examples of kobayashi hyperbolic surfaces in the projective 3space of any even degree starting with degree 8 | [['we', 'modify', 'the', 'deformation', 'method', 'explored', 'previously', 'in', 'a', 'joint', 'work', 'of', 'b', 'shiffman', 'and', 'the', 'author', 'in', 'order', 'to', 'construct', 'further', 'examples', 'of', 'kobayashi', 'hyperbolic', 'surfaces', 'in', 'the', 'projective', '3space', 'of', 'any', 'even', 'degree', 'starting', 'with', 'degree', '8']] | [-0.14355073577891558, 0.0649893645149393, -0.0668740247686704, 0.013790400173419561, -0.07416751966453515, -0.1428100195570061, 0.02677846283245927, 0.3434078239668638, -0.23869376728693262, -0.3058995202374764, 0.04175579874143482, -0.2350492598488927, -0.2057263262760945, 0.16382799135186735, -0.14612895171516216, 0.043052846673302926, 0.0011818688780737992, 0.055805063543793484, -0.10681114591156635, -0.34446738161242163, 0.3739923384661476, 0.014923444447609095, 0.1789130570175938, 0.05410247698474007, 0.09212430471029037, 0.027522538131914843, -0.03875665213817205, 0.03876716411935213, -0.22455635664459223, 0.15260273675458172, 0.24431679980495039, 0.056363917457369656, 0.16079820877012724, -0.346878642287965, -0.23395845186538422, 0.15945185145410973, 0.10115557747821395, 0.12405898383794686, -0.0015190715829913432, -0.26529237150381774, 0.07913578635989091, -0.14304921486585115, -0.24538737802933425, -0.0670469734005821, 0.021080431456749257, 0.0005598807086547216, -0.18997788018523118, 0.016839819076733712, 0.15721223904536322, 0.15882884345662135, -0.028858867139579393, -0.08343206950200674, -0.06074093516247395, 0.07570017261717182, -0.004541228668620953, 0.10252463441485396, 0.01404608954460575, -0.04897284326262963, -0.1429632169743761, 0.3283620174401082, -0.04173461323042806, -0.2490118442533108, 0.16627625272107813, -0.19509244519166458, -0.16971976653887674, 0.13877711626581657, 0.20403907775210264, 0.1795883992782388, -0.05977434657800656, 0.16007076596500924, -0.04362841953451817, 0.09955417631098475, 0.1788057860894463, -0.07202526415960911, 0.05028824043722871, 0.08579247237111513, 0.03905008024034592, 0.12377461524775778, -0.04776797676458955, -0.038740905574881114, -0.3282527979224538, -0.2411806861129709, -0.1729333134702383, 0.08881464487132736, -0.09167580802004056, -0.09843752100968207, 0.417721310009559, 0.06780808526449479, 0.22485293419315264, 0.06444686682273944, 0.21346754523424002, -0.015350911209586626, 0.02308684879561695, 0.09024466450015704, 0.22418255250280103, 0.14917727703085312, 0.050411912540976815, -0.12653513481983772, 0.008164947721151969, 0.14249286186905244] |
709.3374 | Local equivalence of symmetric hypersurfaces in $\mathbb C^2$ | The Chern-Moser normal form and its analog on finite type hypersurfaces in
general do not respect symmetries. Extending the work of N. K. Stanton, we
consider the local equivalence problem for symmetric Levi degenerate
hypersurfaces of finite type in $\mathbb C^2$. The results give for all such
hypersurfaces a complete normalization which respects the symmetries. In
particular, they apply to tubes and rigid hypersurfaces, providing an effective
classification. The main tool is a complete normal form constructed for a
general hypersurface with a tube model. As an application, we describe all
biholomorphic maps between tubes, answering a question posed by N. Hanges.
| math.CV | the chernmoser normal form and its analog on finite type hypersurfaces in general do not respect symmetries extending the work of n k stanton we consider the local equivalence problem for symmetric levi degenerate hypersurfaces of finite type in mathbb c2 the results give for all such hypersurfaces a complete normalization which respects the symmetries in particular they apply to tubes and rigid hypersurfaces providing an effective classification the main tool is a complete normal form constructed for a general hypersurface with a tube model as an application we describe all biholomorphic maps between tubes answering a question posed by n hanges | [['the', 'chernmoser', 'normal', 'form', 'and', 'its', 'analog', 'on', 'finite', 'type', 'hypersurfaces', 'in', 'general', 'do', 'not', 'respect', 'symmetries', 'extending', 'the', 'work', 'of', 'n', 'k', 'stanton', 'we', 'consider', 'the', 'local', 'equivalence', 'problem', 'for', 'symmetric', 'levi', 'degenerate', 'hypersurfaces', 'of', 'finite', 'type', 'in', 'mathbb', 'c2', 'the', 'results', 'give', 'for', 'all', 'such', 'hypersurfaces', 'a', 'complete', 'normalization', 'which', 'respects', 'the', 'symmetries', 'in', 'particular', 'they', 'apply', 'to', 'tubes', 'and', 'rigid', 'hypersurfaces', 'providing', 'an', 'effective', 'classification', 'the', 'main', 'tool', 'is', 'a', 'complete', 'normal', 'form', 'constructed', 'for', 'a', 'general', 'hypersurface', 'with', 'a', 'tube', 'model', 'as', 'an', 'application', 'we', 'describe', 'all', 'biholomorphic', 'maps', 'between', 'tubes', 'answering', 'a', 'question', 'posed', 'by', 'n', 'hanges']] | [-0.14917818288143614, 0.05643048010435702, -0.022671173133029795, 0.07256237868943463, -0.08249439502891043, -0.15268220740490326, -0.030047065689053278, 0.3181222512520444, -0.23484910584266971, -0.2123875321277491, 0.09444598392191536, -0.2468342916754139, -0.12211306275578566, 0.18262852417503364, -0.13022179559961256, 0.014220703706159118, 0.03306169023433018, 0.05887741085123455, -0.11521775161243496, -0.28697787838328703, 0.3889677200171322, -0.05289272780041441, 0.2604410360581103, 0.05882918074874595, 0.09990278371416106, 0.02194039406494634, 0.010604542518716932, 0.028162865134158936, -0.18350864708709466, 0.11882594025043752, 0.2648167962595673, 0.09229828705918966, 0.19797714745008047, -0.41120530735000527, -0.19168755460512077, 0.19033338814296086, 0.14091086428667796, 0.0583604025956483, -0.02206712780810782, -0.266125928463027, 0.08518043002067595, -0.11096899807545366, -0.24000344962563994, -0.07920746426420784, 0.03559590854894112, -0.01070083899995183, -0.23296142854534163, 0.034261956505216934, 0.18631546126475723, 0.10523880394590594, -0.09003144569607396, -0.05578364009305024, -0.006321894281571454, 0.10417318850811018, -0.02581980385550178, 0.07460503566936397, 0.04040892393325944, -0.07665469405232089, -0.0947651918332028, 0.40107525531018134, -0.07543374367961937, -0.2708193965389919, 0.1392709696181303, -0.08142094176244175, -0.14400916500478098, 0.09046104306926822, 0.13977193495830392, 0.17728197301212367, -0.09244585452868723, 0.18213199152689574, -0.10353260132308939, 0.049612186405355904, 0.1058437693472214, -0.051532896985945355, 0.1585260063460521, 0.09556464981610453, 0.10905187820674538, 0.12145791373602899, 0.02827740831607215, -0.03926659037939983, -0.3906151263578103, -0.20912511637065523, -0.10711180559696058, 0.13761826681384084, -0.10121796110911194, -0.20415138187218862, 0.38349547813932344, 0.007443933680856434, 0.24154647341975483, 0.10288664402721431, 0.22537312360646405, 0.03008016934364776, 0.030468103478173955, 0.1092333003456732, 0.14009373493972097, 0.21002863104326078, 0.03277396676268908, -0.12598748394982004, -0.026162722194106272, 0.15431994843379696] |
709.3375 | Compatible Geometric Matchings | This paper studies non-crossing geometric perfect matchings. Two such perfect
matchings are \emph{compatible} if they have the same vertex set and their
union is also non-crossing. Our first result states that for any two perfect
matchings $M$ and $M'$ of the same set of $n$ points, for some $k\in\Oh{\log
n}$, there is a sequence of perfect matchings $M=M_0,M_1,...,M_k=M'$, such that
each $M_i$ is compatible with $M_{i+1}$. This improves the previous best bound
of $k\leq n-2$. We then study the conjecture: \emph{every perfect matching with
an even number of edges has an edge-disjoint compatible perfect matching}. We
introduce a sequence of stronger conjectures that imply this conjecture, and
prove the strongest of these conjectures in the case of perfect matchings that
consist of vertical and horizontal segments. Finally, we prove that every
perfect matching with $n$ edges has an edge-disjoint compatible matching with
approximately $4n/5$ edges.
| math.CO | this paper studies noncrossing geometric perfect matchings two such perfect matchings are emphcompatible if they have the same vertex set and their union is also noncrossing our first result states that for any two perfect matchings m and m of the same set of n points for some kinohlog n there is a sequence of perfect matchings mm_0m_1m_km such that each m_i is compatible with m_i1 this improves the previous best bound of kleq n2 we then study the conjecture emphevery perfect matching with an even number of edges has an edgedisjoint compatible perfect matching we introduce a sequence of stronger conjectures that imply this conjecture and prove the strongest of these conjectures in the case of perfect matchings that consist of vertical and horizontal segments finally we prove that every perfect matching with n edges has an edgedisjoint compatible matching with approximately 4n5 edges | [['this', 'paper', 'studies', 'noncrossing', 'geometric', 'perfect', 'matchings', 'two', 'such', 'perfect', 'matchings', 'are', 'emphcompatible', 'if', 'they', 'have', 'the', 'same', 'vertex', 'set', 'and', 'their', 'union', 'is', 'also', 'noncrossing', 'our', 'first', 'result', 'states', 'that', 'for', 'any', 'two', 'perfect', 'matchings', 'm', 'and', 'm', 'of', 'the', 'same', 'set', 'of', 'n', 'points', 'for', 'some', 'kinohlog', 'n', 'there', 'is', 'a', 'sequence', 'of', 'perfect', 'matchings', 'mm_0m_1m_km', 'such', 'that', 'each', 'm_i', 'is', 'compatible', 'with', 'm_i1', 'this', 'improves', 'the', 'previous', 'best', 'bound', 'of', 'kleq', 'n2', 'we', 'then', 'study', 'the', 'conjecture', 'emphevery', 'perfect', 'matching', 'with', 'an', 'even', 'number', 'of', 'edges', 'has', 'an', 'edgedisjoint', 'compatible', 'perfect', 'matching', 'we', 'introduce', 'a', 'sequence', 'of', 'stronger', 'conjectures', 'that', 'imply', 'this', 'conjecture', 'and', 'prove', 'the', 'strongest', 'of', 'these', 'conjectures', 'in', 'the', 'case', 'of', 'perfect', 'matchings', 'that', 'consist', 'of', 'vertical', 'and', 'horizontal', 'segments', 'finally', 'we', 'prove', 'that', 'every', 'perfect', 'matching', 'with', 'n', 'edges', 'has', 'an', 'edgedisjoint', 'compatible', 'matching', 'with', 'approximately', '4n5', 'edges']] | [-0.21798002273633985, 0.12753324464589955, -0.026366273963732735, -0.0003613887934365889, -0.06501947401964164, -0.14594176533742698, 0.040888397603530205, 0.38656357912854716, -0.2376023448248218, -0.3212584401643672, 0.03956954734696245, -0.33254040718417277, -0.12989050761301565, 0.08162929379166318, -0.1198371162042152, 0.008233752712229644, 0.1428763385653704, 0.08431425137718866, 0.03387278259383397, -0.3464177131206709, 0.3103070866440299, -0.06105386069812975, 0.230462866353353, 0.06158907602824453, 0.08974025481530315, 0.05729407946728952, 0.027424991215494545, 0.07649173271041233, -0.2159818077449857, 0.08952547476742534, 0.2586740093839752, 0.14979417204296777, 0.19391146294082273, -0.4205524541746574, -0.11375053159540871, 0.22629921054597812, 0.13465783316206506, 0.09112234738446981, -0.018989340385904052, -0.15327627683169098, 0.19358499792984107, -0.08462984576944255, -0.10159210141233684, 0.04632501533072624, 0.06363497909900921, 0.016827179612331353, -0.3040676931622666, -0.03387871371778347, 0.15297179837170596, 0.03455569716235558, 0.009838044350328562, -0.18332905569309174, -0.05278789962420462, 0.11851962211613472, -0.04118651480387922, 0.04925720273171897, -0.04986437753052939, -0.1057916481041356, -0.1991909355791351, 0.3583639152478296, -0.045622639672690674, -0.14575129653444396, 0.12254432564067257, -0.11710013261624982, -0.17199137180691937, 0.11050150379655765, 0.0030440688247212787, 0.17610099701328086, -0.05475350345771473, 0.09632995679577279, -0.2646146672354503, 0.12993714564408249, 0.2088820080898077, 0.0477975296879096, 0.1906919136018186, 0.0835058362983571, 0.19050046397939688, 0.12975873230220555, 0.03166644524138134, -0.01534577880471528, -0.3084951866144588, -0.14519618092946565, -0.20483135323893356, 0.05096277212268197, -0.18316571512121146, -0.2131079558634779, 0.3344911995728116, 0.11562642752082197, 0.22748803478072177, 0.13170341164414232, 0.2560338535951776, 0.06247201156773982, -0.023209560944184245, 0.1703552647129066, 0.16315235825148866, 0.16121524840453313, -0.08494188147597015, -0.13172655918316303, 0.026731646792324898, 0.0802444928110792] |
709.3376 | Bar formation and galaxy interactions in MOND | The LCDM model is the most commonly admitted to describe our Universe. In
spite of a great success with regard to the large scale structure formation,
some problems are still unresolved at galactic scales. Alternative scenarios
have to be explored such as modified gravity. We have developed an N-body code
able to solve in a self consistent way the galactic dynamics in MOND. The first
version of the code consists in solving the modified Poisson equation on a
uniform Cartesian grid to derive the gravitational force on each particle. With
it, we study the evolution of isolated galaxies, like the bar instability, the
angular momentum transfer, etc. Galaxies in MOND are found to form stronger
bars, faster than in Newtonian dynamics with dark matter. In a second step, we
implement an adaptive mesh refinement technique in the code, allowing to run
more contrasted simulations on larger scales, like interacting galaxies. During
an interaction, the dynamical friction forces are less important in MOND, and
merging times are longer than in DM models. The different morphologies of
interacting galaxies in the two models are discussed. All simulations are
performed in both frameworks of modified gravity and Newtonian gravity with
dark matter with equivalent initial conditions.
| astro-ph | the lcdm model is the most commonly admitted to describe our universe in spite of a great success with regard to the large scale structure formation some problems are still unresolved at galactic scales alternative scenarios have to be explored such as modified gravity we have developed an nbody code able to solve in a self consistent way the galactic dynamics in mond the first version of the code consists in solving the modified poisson equation on a uniform cartesian grid to derive the gravitational force on each particle with it we study the evolution of isolated galaxies like the bar instability the angular momentum transfer etc galaxies in mond are found to form stronger bars faster than in newtonian dynamics with dark matter in a second step we implement an adaptive mesh refinement technique in the code allowing to run more contrasted simulations on larger scales like interacting galaxies during an interaction the dynamical friction forces are less important in mond and merging times are longer than in dm models the different morphologies of interacting galaxies in the two models are discussed all simulations are performed in both frameworks of modified gravity and newtonian gravity with dark matter with equivalent initial conditions | [['the', 'lcdm', 'model', 'is', 'the', 'most', 'commonly', 'admitted', 'to', 'describe', 'our', 'universe', 'in', 'spite', 'of', 'a', 'great', 'success', 'with', 'regard', 'to', 'the', 'large', 'scale', 'structure', 'formation', 'some', 'problems', 'are', 'still', 'unresolved', 'at', 'galactic', 'scales', 'alternative', 'scenarios', 'have', 'to', 'be', 'explored', 'such', 'as', 'modified', 'gravity', 'we', 'have', 'developed', 'an', 'nbody', 'code', 'able', 'to', 'solve', 'in', 'a', 'self', 'consistent', 'way', 'the', 'galactic', 'dynamics', 'in', 'mond', 'the', 'first', 'version', 'of', 'the', 'code', 'consists', 'in', 'solving', 'the', 'modified', 'poisson', 'equation', 'on', 'a', 'uniform', 'cartesian', 'grid', 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709.3377 | Algebraic causality: Bayes nets and beyond | The relationship between algebraic geometry and the inferential framework of
the Bayesian Networks with hidden variables has now been fruitfully explored
and exploited by a number of authors. More recently the algebraic formulation
of Causal Bayesian Networks has also been investigated in this context. After
reviewing these newer relationships, we proceed to demonstrate that many of the
ideas embodied in the concept of a ``causal model'' can be more generally
expressed directly in terms of a partial order and a family of polynomial maps.
The more conventional graphical constructions, when available, remain a
powerful tool.
| stat.ME | the relationship between algebraic geometry and the inferential framework of the bayesian networks with hidden variables has now been fruitfully explored and exploited by a number of authors more recently the algebraic formulation of causal bayesian networks has also been investigated in this context after reviewing these newer relationships we proceed to demonstrate that many of the ideas embodied in the concept of a causal model can be more generally expressed directly in terms of a partial order and a family of polynomial maps the more conventional graphical constructions when available remain a powerful tool | [['the', 'relationship', 'between', 'algebraic', 'geometry', 'and', 'the', 'inferential', 'framework', 'of', 'the', 'bayesian', 'networks', 'with', 'hidden', 'variables', 'has', 'now', 'been', 'fruitfully', 'explored', 'and', 'exploited', 'by', 'a', 'number', 'of', 'authors', 'more', 'recently', 'the', 'algebraic', 'formulation', 'of', 'causal', 'bayesian', 'networks', 'has', 'also', 'been', 'investigated', 'in', 'this', 'context', 'after', 'reviewing', 'these', 'newer', 'relationships', 'we', 'proceed', 'to', 'demonstrate', 'that', 'many', 'of', 'the', 'ideas', 'embodied', 'in', 'the', 'concept', 'of', 'a', 'causal', 'model', 'can', 'be', 'more', 'generally', 'expressed', 'directly', 'in', 'terms', 'of', 'a', 'partial', 'order', 'and', 'a', 'family', 'of', 'polynomial', 'maps', 'the', 'more', 'conventional', 'graphical', 'constructions', 'when', 'available', 'remain', 'a', 'powerful', 'tool']] | [-0.07051557148439123, 0.05375958906339579, -0.12603167328787476, 0.12103995325313391, -0.12201004704754603, -0.13187492929497047, 0.02833278848771251, 0.36759324446320535, -0.3102231713060878, -0.31803475448273516, 0.10736263483199046, -0.20921182591762197, -0.22918653784221724, 0.1989546510219378, -0.07698086873677217, 0.07825331780079164, 0.008115271302430253, 0.04463157879286691, -0.08467654763034692, -0.26619294614065436, 0.3247810852566832, 0.04867984464539117, 0.2592660428662049, 0.01119326532720343, 0.10037674710742737, 0.004771822686062048, -0.08146112070565945, 0.10301590662841734, -0.11353771913663398, 0.2002669780245541, 0.3015527030355052, 0.18561682666308785, 0.326936194114387, -0.4571353189255062, -0.281873236470672, 0.12570710051804782, 0.15601417137996146, 0.11271447534427831, -0.006722163849994295, -0.2971648706319301, 0.07366297369528758, -0.21674942718818785, -0.08267858149728885, -0.11796691140380541, -0.009061869126009314, -0.031419927662079176, -0.2130297851123798, 0.01292340757147605, 0.07275364005840139, 0.09845644978953427, 0.040934742496986136, -0.09943841805706095, -0.018812843868018764, 0.10852909364008442, 0.03402827272167135, 0.011900342999050687, 0.05316367277287339, -0.11775899683125317, -0.15304052802292925, 0.3189545644073453, -0.000661876896935466, -0.23203523740368454, 0.1901330631128267, -0.06803066070240579, -0.19170763941579744, 0.0706079361568156, 0.17188991875828882, 0.1352046726614629, -0.22486152184076338, 0.1044356089164993, -0.06639707336986536, 0.11851200218263426, 0.03968101121289165, 0.03210359976479882, 0.19693916730190578, 0.1690967942220404, -0.010592983972501795, 0.139285195284327, -0.027156968919658346, -0.13044577709546215, -0.2437432090114606, -0.14776280171384937, -0.13601396272792235, -0.0001828263072591079, -0.09586289532981984, -0.12665440636981082, 0.3938726980435221, 0.138033466026383, 0.17547403624477356, 0.04982900557745444, 0.2712916689238658, 0.09485942927238188, 0.07908827405618994, 0.05871833374380673, 0.2254456017509495, 0.18898972488792712, 0.0962205106000367, -0.10442567327991129, 0.13706562200463132, 0.047158099201164747] |
709.3378 | Intersection numbers of Riemann surfaces from Gaussian matrix models | We consider a Gaussian random matrix theory in the presence of an external
matrix source. This matrix model, after duality (a simple version of the
closed/open string duality), yields a generalized Kontsevich model through an
appropriate tuning of the external source. The n-point correlation functions of
this theory are shown to provide the intersection numbers of the moduli space
of curves with a p-spin structure, n marked points and top Chern class. This
sheds some light on Witten's conjecture on the relationship with the pth-KdV
equation.
| hep-th | we consider a gaussian random matrix theory in the presence of an external matrix source this matrix model after duality a simple version of the closedopen string duality yields a generalized kontsevich model through an appropriate tuning of the external source the npoint correlation functions of this theory are shown to provide the intersection numbers of the moduli space of curves with a pspin structure n marked points and top chern class this sheds some light on wittens conjecture on the relationship with the pthkdv equation | [['we', 'consider', 'a', 'gaussian', 'random', 'matrix', 'theory', 'in', 'the', 'presence', 'of', 'an', 'external', 'matrix', 'source', 'this', 'matrix', 'model', 'after', 'duality', 'a', 'simple', 'version', 'of', 'the', 'closedopen', 'string', 'duality', 'yields', 'a', 'generalized', 'kontsevich', 'model', 'through', 'an', 'appropriate', 'tuning', 'of', 'the', 'external', 'source', 'the', 'npoint', 'correlation', 'functions', 'of', 'this', 'theory', 'are', 'shown', 'to', 'provide', 'the', 'intersection', 'numbers', 'of', 'the', 'moduli', 'space', 'of', 'curves', 'with', 'a', 'pspin', 'structure', 'n', 'marked', 'points', 'and', 'top', 'chern', 'class', 'this', 'sheds', 'some', 'light', 'on', 'wittens', 'conjecture', 'on', 'the', 'relationship', 'with', 'the', 'pthkdv', 'equation']] | [-0.1801660990164451, 0.13640275665264412, -0.12936896964469377, 0.10605521743487129, -0.05743130396175034, -0.13265011472737087, 0.0632199148674879, 0.3181994769064819, -0.29176593118292443, -0.256957081157495, 0.04624789806548506, -0.2572368188350297, -0.21945504151996884, 0.14248505912392456, -0.058009178826914115, 0.036435454566141265, 0.024755815652144304, 0.03244230085744194, -0.1151130708591903, -0.28745605676873204, 0.3761707708129988, -0.00019689428702215938, 0.2816375060116543, 0.06622312404215336, 0.11402266848394099, 0.08984899507452021, -0.008133662020897164, -0.03000532307641526, -0.07975434400141239, 0.16440468102090938, 0.17911131533191485, 0.08063649302896331, 0.17758832637713673, -0.4210793210303082, -0.22857030595324057, 0.12833936168702648, 0.05736575486302814, 0.09144134416847545, -0.027880234219243422, -0.26226112882004066, 0.06064240769483149, -0.15588691081194317, -0.20575131280895542, -0.04044915256638299, 0.007035805832813768, -0.0019973313655046857, -0.25079600715612554, 0.010949155173319227, 0.03988912953611683, 0.08412304477875723, -0.05014249733649194, -0.08213834153378712, -0.008710395966601722, 0.046876697795575156, 0.03180041251950624, 0.06955559539115604, 0.05417565110084765, -0.14986290686544687, -0.10662025627337725, 0.33354705615407404, -0.07157667632050374, -0.25353784079060837, 0.09803319482735413, -0.09920853116713903, -0.1465482727405341, 0.06602832826183122, 0.10786879224812283, 0.13966606458758607, -0.09406609479406411, 0.1793227325898924, -0.11069031824522159, 0.1499161048545776, 0.05120615611291107, -0.0009404418770881261, 0.21295722375678666, 0.10924636415370247, 0.027237924997804357, 0.21667566318201886, -0.04314643516588737, -0.14344005451044617, -0.37987903119886623, -0.14337079016601337, -0.1625153506804696, 0.13428326377316432, -0.1873768863869105, -0.2304206914114355, 0.3993860688991845, 0.06602015740731183, 0.23313929517479504, 0.09310624544673106, 0.21066677958211477, 0.12630078328554245, 0.005339074945625137, 0.02583702944273896, 0.15840221690185205, 0.22181015416212818, 0.048770360084360136, -0.18850505766732728, 0.006934310090454186, 0.19467385497820727] |
709.3379 | Luescher-Weisz algorithm for excited states of the QCD flux-tube | We present a version of the Luescher-Weisz multilevel algorithm ideally
suited for studying excited states of the QCD flux tube. While the original
version achieved error reduction only in the temporal direction, the new
algorithm reduces fluctuations in the sources as well. We report on the
implementation of this algorithm as well as improvement over the older method.
We also present first results, where we see a good agreement with theoretical
predictions from bosonic string models.
| hep-lat | we present a version of the luescherweisz multilevel algorithm ideally suited for studying excited states of the qcd flux tube while the original version achieved error reduction only in the temporal direction the new algorithm reduces fluctuations in the sources as well we report on the implementation of this algorithm as well as improvement over the older method we also present first results where we see a good agreement with theoretical predictions from bosonic string models | [['we', 'present', 'a', 'version', 'of', 'the', 'luescherweisz', 'multilevel', 'algorithm', 'ideally', 'suited', 'for', 'studying', 'excited', 'states', 'of', 'the', 'qcd', 'flux', 'tube', 'while', 'the', 'original', 'version', 'achieved', 'error', 'reduction', 'only', 'in', 'the', 'temporal', 'direction', 'the', 'new', 'algorithm', 'reduces', 'fluctuations', 'in', 'the', 'sources', 'as', 'well', 'we', 'report', 'on', 'the', 'implementation', 'of', 'this', 'algorithm', 'as', 'well', 'as', 'improvement', 'over', 'the', 'older', 'method', 'we', 'also', 'present', 'first', 'results', 'where', 'we', 'see', 'a', 'good', 'agreement', 'with', 'theoretical', 'predictions', 'from', 'bosonic', 'string', 'models']] | [-0.06377632873083808, 0.05139595770742744, -0.07108902584418263, 0.09917382400109138, -0.008074950604503485, -0.11180487011657342, 0.0860556092689206, 0.4004378359470713, -0.1874141563832956, -0.34326531779707264, 0.0890568586305323, -0.22330236165343145, -0.1412826537362937, 0.226468935216728, -0.057447068577044104, 0.07470738539766324, 0.1204184623508665, 0.022766385080390854, -0.06937221384233501, -0.23996993448389203, 0.24348550260459123, 0.11472729725861236, 0.2735617322430603, 0.04519188146744119, 0.095553865472443, 0.021085981634984676, -0.038632539395046864, 0.030595516859504738, -0.10755943529013741, 0.1216098584141276, 0.1952690928950879, 0.08108333959611819, 0.21502257912958922, -0.39578709534467443, -0.1832071922498902, 0.048986072511118105, 0.18467749551085658, 0.1959290517169345, -0.05302047853106878, -0.28389891070362766, 0.06024746128547888, -0.16673020794252424, -0.12497203380457665, -0.09218877726724665, -0.06008046659898307, 0.006306550329961618, -0.24117352308607415, 0.11964600803721144, 0.03674113669886107, 0.04217685833818426, -0.05604124004879084, -0.158833573890948, 0.058696495669305716, 0.08748097768004395, 0.02846588011782028, 0.08793794901698436, 0.08024219691900439, -0.14056095517987974, -0.1720770519857883, 0.39336222782731056, -0.1396007911764747, -0.16163849181152487, 0.12080275803485788, -0.08817837954694896, -0.15321905830090768, 0.09709020906226024, 0.15355786301906368, 0.1371732829016094, -0.08362684098660554, 0.05152150853475752, -0.04868056827322825, 0.18752343859523535, 0.008573435639080248, 0.057713538952731666, 0.15998052875511348, 0.2304534371842716, 0.05596258497404817, 0.19247289644983157, -0.08854959357076471, -0.11275090881329226, -0.3588489616338752, -0.14764366579536153, -0.15198915166853877, 0.012950286048611528, -0.05924261409764815, -0.15527539546402344, 0.40293926874322716, 0.19472482942632938, 0.2047382484582302, 0.09675829921922598, 0.333485173208541, 0.08603357952118754, 0.04045005940669829, 0.12612094155414716, 0.21163412931032086, 0.12562370816196658, 0.13653438206376067, -0.22261741148663292, 0.020601591493591274, 0.08758135956687559] |
709.338 | The causal manipulation of chain event graphs | Discrete Bayesian Networks have been very successful as a framework both for
inference and for expressing certain causal hypotheses. In this paper we
present a class of graphical models called the chain event graph (CEG) models,
that generalises the class of discrete BN models. It provides a flexible and
expressive framework for representing and analysing the implications of causal
hypotheses, expressed in terms of the effects of a manipulation of the
generating underlying system. We prove that, as for a BN, identifiability
analyses of causal effects can be performed through examining the topology of
the CEG graph, leading to theorems analogous to the back-door theorem for the
BN.
| stat.ME | discrete bayesian networks have been very successful as a framework both for inference and for expressing certain causal hypotheses in this paper we present a class of graphical models called the chain event graph ceg models that generalises the class of discrete bn models it provides a flexible and expressive framework for representing and analysing the implications of causal hypotheses expressed in terms of the effects of a manipulation of the generating underlying system we prove that as for a bn identifiability analyses of causal effects can be performed through examining the topology of the ceg graph leading to theorems analogous to the backdoor theorem for the bn | [['discrete', 'bayesian', 'networks', 'have', 'been', 'very', 'successful', 'as', 'a', 'framework', 'both', 'for', 'inference', 'and', 'for', 'expressing', 'certain', 'causal', 'hypotheses', 'in', 'this', 'paper', 'we', 'present', 'a', 'class', 'of', 'graphical', 'models', 'called', 'the', 'chain', 'event', 'graph', 'ceg', 'models', 'that', 'generalises', 'the', 'class', 'of', 'discrete', 'bn', 'models', 'it', 'provides', 'a', 'flexible', 'and', 'expressive', 'framework', 'for', 'representing', 'and', 'analysing', 'the', 'implications', 'of', 'causal', 'hypotheses', 'expressed', 'in', 'terms', 'of', 'the', 'effects', 'of', 'a', 'manipulation', 'of', 'the', 'generating', 'underlying', 'system', 'we', 'prove', 'that', 'as', 'for', 'a', 'bn', 'identifiability', 'analyses', 'of', 'causal', 'effects', 'can', 'be', 'performed', 'through', 'examining', 'the', 'topology', 'of', 'the', 'ceg', 'graph', 'leading', 'to', 'theorems', 'analogous', 'to', 'the', 'backdoor', 'theorem', 'for', 'the', 'bn']] | [-0.10133219750908513, 0.017985511798609945, -0.09397924021403822, 0.12962512079846217, -0.09783299248320637, -0.13761732444011918, 0.05415274827693658, 0.36149372034533706, -0.27000980575879413, -0.2888180607352061, 0.09902357295612563, -0.1942086373973224, -0.18329727615195293, 0.18795524234021152, -0.042198902164171964, 0.07096904769746794, 0.08047489659360575, 0.036708916198996897, -0.04144206782156187, -0.1795556707834799, 0.32166634894760876, 0.03202636679634452, 0.25389388276919445, 0.045174556650669766, 0.13084617908612858, 0.04617921497534822, -0.027030747737390576, 0.08602516173764511, -0.12750201223537228, 0.16481972189137228, 0.27018242309117746, 0.19023643341562194, 0.2962564390014719, -0.41982677565559884, -0.2658432930981723, 0.14393552334944684, 0.10121643607918587, 0.09691181108738184, -0.0031949575425608565, -0.29489910382673973, 0.11985053481206435, -0.19115191736017112, -0.07580526474932278, -0.10572471201023156, 0.019041031883615587, -0.009459145806936754, -0.31147019659100034, 0.03896079854004913, 0.14950952418493452, 0.05622570354629446, -0.026556688531181188, -0.08303938633482041, -0.01839163591136673, 0.11787167383375129, 0.04213297828445556, -0.01743348638302888, 0.07902707618712965, -0.129743364361477, -0.1738982614931754, 0.3609927150817519, -0.03113005134164942, -0.24172831901038686, 0.15079405568421525, -0.049566691064413776, -0.24484092797394152, 0.05030202832831829, 0.1892025631278995, 0.1403813983342843, -0.173699165487455, 0.11557981005656377, -0.06595092075790658, 0.09537223317548288, 0.047143919708172756, 0.038476033291469015, 0.18976844183203798, 0.20824922265967838, 0.016579186037200055, 0.1813235915712236, -0.06908878935199161, -0.08681975870772644, -0.3035939563824623, -0.17355850939121512, -0.1416574715360723, 0.022367826216698933, -0.12434714583691352, -0.22514037555083632, 0.42802352704866614, 0.15094819892046704, 0.1853661590937042, 0.12769090165211647, 0.22159811057564285, 0.09119907652536684, 0.050054635206901434, 0.04869222715798834, 0.16122762956311582, 0.16430651862174273, 0.021435990899421827, -0.11112123743967256, 0.1578155573785167, 0.057320467524092505] |
709.3381 | Generalized ABCD propagation for interacting atomic clouds | We present a treatment of the nonlinear matter wave propagation inspired from
optical methods, which includes interaction effects within the atom optics
equivalent of the aberrationless approximation. The atom-optical ABCD matrix
formalism, considered so far for non-interacting clouds, is extended
perturbatively beyond the linear regime of propagation. This approach, applied
to discuss the stability of a matter-wave resonator involving a free-falling
sample, agrees very well with the predictions of the full nonlinear paraxial
wave equation. An alternative optical treatment of interaction effects, based
on the aberrationless approximation and suitable for cylindrical paraxial beams
of uniform linear density, is also adapted for matter waves.
| cond-mat.quant-gas cond-mat.other physics.atom-ph physics.optics quant-ph | we present a treatment of the nonlinear matter wave propagation inspired from optical methods which includes interaction effects within the atom optics equivalent of the aberrationless approximation the atomoptical abcd matrix formalism considered so far for noninteracting clouds is extended perturbatively beyond the linear regime of propagation this approach applied to discuss the stability of a matterwave resonator involving a freefalling sample agrees very well with the predictions of the full nonlinear paraxial wave equation an alternative optical treatment of interaction effects based on the aberrationless approximation and suitable for cylindrical paraxial beams of uniform linear density is also adapted for matter waves | [['we', 'present', 'a', 'treatment', 'of', 'the', 'nonlinear', 'matter', 'wave', 'propagation', 'inspired', 'from', 'optical', 'methods', 'which', 'includes', 'interaction', 'effects', 'within', 'the', 'atom', 'optics', 'equivalent', 'of', 'the', 'aberrationless', 'approximation', 'the', 'atomoptical', 'abcd', 'matrix', 'formalism', 'considered', 'so', 'far', 'for', 'noninteracting', 'clouds', 'is', 'extended', 'perturbatively', 'beyond', 'the', 'linear', 'regime', 'of', 'propagation', 'this', 'approach', 'applied', 'to', 'discuss', 'the', 'stability', 'of', 'a', 'matterwave', 'resonator', 'involving', 'a', 'freefalling', 'sample', 'agrees', 'very', 'well', 'with', 'the', 'predictions', 'of', 'the', 'full', 'nonlinear', 'paraxial', 'wave', 'equation', 'an', 'alternative', 'optical', 'treatment', 'of', 'interaction', 'effects', 'based', 'on', 'the', 'aberrationless', 'approximation', 'and', 'suitable', 'for', 'cylindrical', 'paraxial', 'beams', 'of', 'uniform', 'linear', 'density', 'is', 'also', 'adapted', 'for', 'matter', 'waves']] | [-0.11201446363702416, 0.11289673908605145, -0.09286954224977678, 0.08575518558692477, -0.08054487239026907, -0.1241248300145335, -0.00912657806432797, 0.35920052295460286, -0.22358240648308425, -0.2206221961131482, 0.021071212244156784, -0.24689296387967843, -0.12615141478249603, 0.19217704888433218, 0.0531042926883759, 0.1276034764692332, 0.028439429760413262, -0.012167063146124332, -0.0834714505952575, -0.153243025213263, 0.2958067389842557, 0.06016625444070228, 0.26952102761353974, -0.00851977159025021, 0.13789499785979414, 0.08521731846595129, -0.005450662157670098, 0.0261142567473744, -0.12379504179636251, 0.06437183372016309, 0.2247076064938209, 0.03979850769748242, 0.26190064395370993, -0.4829647544749817, -0.26517423896064746, 0.018911120192446177, 0.15496699089745006, 0.19853152131584917, -0.05813373029073791, -0.30595378814608726, -0.06336001074845785, -0.16040630500257305, -0.2234399739542108, -0.036661339591447156, -0.0026557893103476868, 0.06597490015991249, -0.2928648091585927, 0.09120269430076784, 0.03897171981239384, 0.00101083092102148, -0.050696111012937375, -0.08743961853002316, 0.049093647306170135, -0.0034830148051519997, -0.02146320241261545, -0.0037878868780415326, 0.12645975605684143, -0.1306409792481804, -0.04942687326427368, 0.4572297871311747, -0.10310451026318722, -0.21493949692298486, 0.13989770562541717, -0.12444323241807864, -0.025212954702669557, 0.15279244757212193, 0.17794449520704236, 0.1351659575893173, -0.1365099086254401, 0.10060713776032378, -0.04223123026951849, 0.14902493137034398, 0.0983258023953011, 0.06555654245510119, 0.19265823907137497, 0.18017400096812583, 0.030216851330461723, 0.1201602601835016, -0.08791470551836186, -0.10836859356196037, -0.3326160252021933, -0.08528528115981246, -0.16593227754301818, 0.027246766644292646, -0.06567874180084632, -0.19160756395985057, 0.3702858449185936, 0.15309846508814004, 0.08795613753021632, 0.013409778372909041, 0.3331353468775243, 0.1521222026322435, 0.017655922407374798, 0.026000732546943486, 0.3366894736768479, 0.2366519222867865, 0.08382699649907577, -0.2541997194498126, -0.03148344216542771, 0.051068948744570165] |
709.3382 | Spin-Peierls transition in carbynoid conductors: infrared absorption
study | The results of IR-studies in quasi-1D carbynoid films produced by
dehydrohalogenation of poly(vinilidene fluoride) are in good agreement with the
assumption that carbynoid films studied are generalized spin -Peierls
conductors, the metal to insulator transition in which can be described in the
frame of t-J model. Residual atoms of fluorine, hydrogen and atoms of main
technological impurity oxygen in the form of various complexes in interchain
space are suggested to be spin - (or joint spin - and electrical) conductivity
dopants. Antiferroelectric spin wave resonance (AFESWR) being to be optical
analogue of antiferromagnetic spin wave resonance has been identified for the
first time. Electric spin-Peierls polaron lattice in C-C -bonds is proposed to
be responsible for the observed AFESWR both in starting PWDF films and in
carbynoid B-films (the samples with the least impurity content). Electric spin
moment with pure imaginary value predicted by Dirac as early as 1928 was
identified for the first time. Electric spin-Peierls polarons are proposed to
be electric spin moment carriers. It has been established that topological
solitons, earlier called spin-Peierls solitons (SPS), are simultaneously
active, unlike to topological solitons with nonzero spin in
\textit{trans}-polyacetylene, in both optical and magnetic resonance spectra.It
is explained in suggestion that SPS possess by both electric and magnetic spin
moments which can be considered as two components of complex electromagnetic
spin vector as a single whole. SPS proposed to be consisting of two coupled
domain walls in both magnetic and electric generalized spin density wave
(GSDW), produced by electromagnetic spin-Peierls transition in its generalized
form in $\pi$ - and $\sigma$ -subsystems of carbynoids.
| cond-mat.str-el | the results of irstudies in quasi1d carbynoid films produced by dehydrohalogenation of polyvinilidene fluoride are in good agreement with the assumption that carbynoid films studied are generalized spin peierls conductors the metal to insulator transition in which can be described in the frame of tj model residual atoms of fluorine hydrogen and atoms of main technological impurity oxygen in the form of various complexes in interchain space are suggested to be spin or joint spin and electrical conductivity dopants antiferroelectric spin wave resonance afeswr being to be optical analogue of antiferromagnetic spin wave resonance has been identified for the first time electric spinpeierls polaron lattice in cc bonds is proposed to be responsible for the observed afeswr both in starting pwdf films and in carbynoid bfilms the samples with the least impurity content electric spin moment with pure imaginary value predicted by dirac as early as 1928 was identified for the first time electric spinpeierls polarons are proposed to be electric spin moment carriers it has been established that topological solitons earlier called spinpeierls solitons sps are simultaneously active unlike to topological solitons with nonzero spin in textittranspolyacetylene in both optical and magnetic resonance spectrait is explained in suggestion that sps possess by both electric and magnetic spin moments which can be considered as two components of complex electromagnetic spin vector as a single whole sps proposed to be consisting of two coupled domain walls in both magnetic and electric generalized spin density wave gsdw produced by electromagnetic spinpeierls transition in its generalized form in pi and sigma subsystems of carbynoids | [['the', 'results', 'of', 'irstudies', 'in', 'quasi1d', 'carbynoid', 'films', 'produced', 'by', 'dehydrohalogenation', 'of', 'polyvinilidene', 'fluoride', 'are', 'in', 'good', 'agreement', 'with', 'the', 'assumption', 'that', 'carbynoid', 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'coupled', 'domain', 'walls', 'in', 'both', 'magnetic', 'and', 'electric', 'generalized', 'spin', 'density', 'wave', 'gsdw', 'produced', 'by', 'electromagnetic', 'spinpeierls', 'transition', 'in', 'its', 'generalized', 'form', 'in', 'pi', 'and', 'sigma', 'subsystems', 'of', 'carbynoids']] | [-0.14969779242388903, 0.24205447761155666, -0.004509156351676211, 0.029400865783914924, -0.04054952719062567, -0.146165076572448, 0.0009358542659319937, 0.4282758005037904, -0.22340289265103638, -0.26676645410154015, 0.008580917591694742, -0.30307470524683594, -0.07956203507911414, 0.14472181419748814, 0.07618860510922969, 0.023277518389513717, -0.049370909436605874, -0.004490230119787156, -0.05408637947123498, -0.1997563909459859, 0.26032800843939186, -0.008773082432337105, 0.29041465199459343, 0.07127304432541132, 0.029301191890612244, 0.006583216618746519, 0.13220401900238357, 0.028729810451972298, -0.08345842995817657, 0.04620584457553923, 0.30833317757025364, -0.07303992366604507, 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709.3383 | n-Dimensional geometric-shifted global bilinear correspondences of
Langlands on mixed motives III | This third paper,devoted to global correspondences of Langlands,bears more
particularly on geometric-shifted bilinear correspondences on mixed (bi)motives
generated under the action of the products,right by left,of differential
elliptic operators.The mathematical frame,underlying these
correspondences,deals with the categories of the Suslin-Voevodsky mixed
(bi)motives and of the Chow mixed (bi)motives which are both in one-to-one
correspondence with the functional representation spaces of the shifted
algebraic bilinear semigroups.A bilinear holomorphic and supercuspidal spectral
representation of an elliptic bioperator is then developed.
| math.RT math.AC | this third paperdevoted to global correspondences of langlandsbears more particularly on geometricshifted bilinear correspondences on mixed bimotives generated under the action of the productsright by leftof differential elliptic operatorsthe mathematical frameunderlying these correspondencesdeals with the categories of the suslinvoevodsky mixed bimotives and of the chow mixed bimotives which are both in onetoone correspondence with the functional representation spaces of the shifted algebraic bilinear semigroupsa bilinear holomorphic and supercuspidal spectral representation of an elliptic bioperator is then developed | [['this', 'third', 'paperdevoted', 'to', 'global', 'correspondences', 'of', 'langlandsbears', 'more', 'particularly', 'on', 'geometricshifted', 'bilinear', 'correspondences', 'on', 'mixed', 'bimotives', 'generated', 'under', 'the', 'action', 'of', 'the', 'productsright', 'by', 'leftof', 'differential', 'elliptic', 'operatorsthe', 'mathematical', 'frameunderlying', 'these', 'correspondencesdeals', 'with', 'the', 'categories', 'of', 'the', 'suslinvoevodsky', 'mixed', 'bimotives', 'and', 'of', 'the', 'chow', 'mixed', 'bimotives', 'which', 'are', 'both', 'in', 'onetoone', 'correspondence', 'with', 'the', 'functional', 'representation', 'spaces', 'of', 'the', 'shifted', 'algebraic', 'bilinear', 'semigroupsa', 'bilinear', 'holomorphic', 'and', 'supercuspidal', 'spectral', 'representation', 'of', 'an', 'elliptic', 'bioperator', 'is', 'then', 'developed']] | [-0.14329281016556628, 0.03440046179099042, -0.13201280262159265, 0.07828514427756486, -0.09983938630076422, -0.10133483437686294, -0.05265681255284859, 0.3049209884678324, -0.36116522188851796, -0.21122350402014411, 0.10436618050553606, -0.23357953636002712, -0.15616961121829093, 0.17883325895915428, -0.14925565409298608, 0.04010944232425612, 0.023411374444654888, 0.09861578002734028, -0.1649513779397028, -0.2651444249449001, 0.4844293507605629, -0.08093336469534299, 0.23538412385876628, 0.007407534164393429, 0.11087419986859828, 0.03219144041245074, -0.04713596384702386, -0.07576062342664902, -0.05355787498579509, 0.2718458879550082, 0.33101928015442, 0.021594641298271607, 0.17429831189413866, -0.40904552162881347, -0.12088704374416367, 0.17272394290868787, 0.0603137189535883, -0.028569022654150816, -0.03612141955776336, -0.32987088456318, 0.10002599886038165, -0.15990937551132578, -0.05919510584351593, -0.1190412458828718, 0.012128687227495771, 0.018978477806608746, -0.30928213403060817, 0.051826128430759025, 0.07549403162092726, 0.15382506746960722, -0.11624916094233809, -0.0903743031701289, -0.10305955217125407, 0.06185309914197179, 0.0009292005864984316, 0.022944489878642817, 0.02311412117484471, -0.16753675662777454, -0.06854876424388393, 0.3291152062272464, -0.06811394407481387, -0.24345570046832596, 0.15941238172514283, -0.09581306148185462, -0.15927850508360544, 0.10738415334481692, 0.10413590991410657, 0.1620240860713133, -0.08033238831853522, 0.12055400552302328, -0.14551277353387812, 0.09073458136855692, 0.09730342899084739, -0.01846589280994258, 0.12381781007844847, 0.06058245952632548, 0.06921764453738063, 0.1091703006700761, 0.008624894381669499, -0.1186292717609541, -0.32308879872595053, -0.15607088559604101, -0.08930024755713732, 0.031027085039818634, -0.11644698873430531, -0.17288146504079518, 0.420968272925719, 0.02481155342462918, 0.15861750539371985, 0.09514322051731194, 0.20813084854002017, 0.14194949843205404, 0.045171677742315376, 0.005701220145557022, 0.15117483081269092, 0.23992767263595285, 0.027562119593114956, -0.19697874760174233, -0.023974245861240164, 0.21498611277860144] |
709.3384 | Weighted Matching in the Semi-Streaming Model | We reduce the best known approximation ratio for finding a weighted matching
of a graph using a one-pass semi-streaming algorithm from 5.828 to 5.585. The
semi-streaming model forbids random access to the input and restricts the
memory to O(n*polylog(n)) bits. It was introduced by Muthukrishnan in 2003 and
is appropriate when dealing with massive graphs.
| cs.DM cs.DS | we reduce the best known approximation ratio for finding a weighted matching of a graph using a onepass semistreaming algorithm from 5828 to 5585 the semistreaming model forbids random access to the input and restricts the memory to onpolylogn bits it was introduced by muthukrishnan in 2003 and is appropriate when dealing with massive graphs | [['we', 'reduce', 'the', 'best', 'known', 'approximation', 'ratio', 'for', 'finding', 'a', 'weighted', 'matching', 'of', 'a', 'graph', 'using', 'a', 'onepass', 'semistreaming', 'algorithm', 'from', '5828', 'to', '5585', 'the', 'semistreaming', 'model', 'forbids', 'random', 'access', 'to', 'the', 'input', 'and', 'restricts', 'the', 'memory', 'to', 'onpolylogn', 'bits', 'it', 'was', 'introduced', 'by', 'muthukrishnan', 'in', '2003', 'and', 'is', 'appropriate', 'when', 'dealing', 'with', 'massive', 'graphs']] | [-0.09476156029160376, 0.06241027132987424, -0.028354620716224115, 0.09013166665681638, -0.12494892133744778, -0.1680861863143811, 0.1485904008495035, 0.35783904920228654, -0.23736593429068173, -0.3832270316089745, 0.09694454785979663, -0.2604839098467319, -0.13455549102380043, 0.13080151281233324, -0.14552789500535088, 0.10434957942494226, 0.06938094408165112, 0.042935605730033584, 0.01893413532525301, -0.29291137910924453, 0.23094521029162463, 0.09432839415320712, 0.25136264341159, -0.02047661246076502, 0.11056684039498645, 0.08042707032937971, -0.07162753223545021, 0.007255905049128665, -0.0910436647719945, 0.09414907006753816, 0.20560309202496516, 0.17120808325018044, 0.2512758466656561, -0.3709729630155144, -0.19543282496225503, 0.12629230891535473, 0.11514969097657336, 0.14136339741310588, 0.0029927452603631, -0.243953676359659, 0.1360226117065866, -0.13007199929820168, -0.02739771521926202, -0.016087093912237498, 0.01697376429931157, -0.018059909205745767, -0.3821391877890737, 0.00480034900829196, 0.058613808196106995, -0.0650525276756121, 0.00032787206927659335, -0.11605070549477306, 0.065967692769374, 0.10120832866447961, -0.0414758145494421, 0.1153860851449685, 0.005497203613803895, -0.10555101054962035, -0.15898804282079693, 0.3882936852708183, -0.054886469056967785, -0.16707440808467153, 0.12401036183453268, -0.03372433615193047, -0.14757990370573545, 0.10923214856949118, 0.14772099756670218, 0.10313489490740553, -0.12428429075737733, 0.13164538253504024, -0.08527876848044495, 0.17898229661363144, 0.1502176377473882, -0.013483216227204711, 0.07551267956969915, 0.16974666712512435, 0.09725377191272047, 0.19113736184037947, -0.03644730139489251, -0.11057860011890254, -0.18913993726622452, -0.10021165644543038, -0.24038658809580807, 0.010238579996102662, -0.16371043028980406, -0.17205385770648718, 0.37522636105616886, 0.14007199115844238, 0.1912164924217871, 0.12012664247649135, 0.3273232353169954, 0.09879374466146584, 0.09235975622302955, 0.21330904178493829, 0.14677418099233397, 0.1535873923459332, 0.0800128257660954, -0.1465223982317925, 0.10036340744355349, 0.12184781993359879] |
709.3385 | Mass generation of elementary particles and origin of the fundamental
forces in algebraic quantum theory | The main thesis of this paper deals with the interactions of a set of
fermions which are described by one basic type of bilinear interactions,two
symmetric semiobjects,three embedded shells and four fundamental (strong)
gravito-electro-magnetic forces between left and right semiobjects,i.e
semifermions.
| physics.gen-ph | the main thesis of this paper deals with the interactions of a set of fermions which are described by one basic type of bilinear interactionstwo symmetric semiobjectsthree embedded shells and four fundamental strong gravitoelectromagnetic forces between left and right semiobjectsie semifermions | [['the', 'main', 'thesis', 'of', 'this', 'paper', 'deals', 'with', 'the', 'interactions', 'of', 'a', 'set', 'of', 'fermions', 'which', 'are', 'described', 'by', 'one', 'basic', 'type', 'of', 'bilinear', 'interactionstwo', 'symmetric', 'semiobjectsthree', 'embedded', 'shells', 'and', 'four', 'fundamental', 'strong', 'gravitoelectromagnetic', 'forces', 'between', 'left', 'and', 'right', 'semiobjectsie', 'semifermions']] | [-0.17170177880875967, 0.1336723794606892, 0.023312057108882612, 0.027104752625942835, -0.04677546286099666, -0.15049863132220265, -0.05481591233920709, 0.28534252095866847, -0.2721996307373047, -0.2582799690599377, 0.07778103648357697, -0.2732287517975311, -0.14239469778447136, 0.1265246802437547, -0.027183656228353847, -0.021939969772624003, -0.019585646739279903, 0.052652961272444274, -0.06614025706123258, -0.21231156856299857, 0.4574246303857984, -0.05482656538889215, 0.18362661156602003, 0.04483319360863518, 0.10431810244414452, 0.011864317153152582, -0.049165475509456685, -0.004216417242344972, -0.07053558646726447, 0.20157091551762377, 0.15468624636697634, 0.030817102691208995, 0.26558960874162213, -0.46708293762561437, -0.12163110422222195, 0.09589484221981587, 0.1467081677747538, 0.002201525683237894, -0.07308368067685012, -0.3172950370086206, 0.0729540850514093, -0.1758418180853934, -0.17369858877783692, -0.0016686455472498328, 0.016428775279908568, 0.05883223759765561, -0.23380462281607292, 0.09025259796731375, 0.1362953584490193, 0.048897562900910505, -0.05204105902010122, -0.10564105147244157, 0.01766774705862878, 0.1358191785150887, 0.0749360912957707, 0.013225868419819587, 0.035255341538907706, -0.1311460587737226, -0.07796002312789897, 0.4253513926791178, -0.04269394306214275, -0.18245225062442794, 0.24468265979777318, -0.10917024042558025, -0.10898169262234021, 0.02518304449984351, 0.14991165146332336, 0.13359289279056563, -0.21539244214324532, 0.1317405805364959, -0.059948065192312806, 0.12399649253505207, 0.08800171349650703, 0.04156510964841456, 0.25049349356354594, 0.1376685208162746, -0.011192749808164867, 0.1276076461213666, 0.015304217857585565, -0.13046097654748606, -0.3832224222856599, -0.15958526828703848, -0.12120829306140139, 0.03009609481031893, -0.037455911520786735, -0.17188152386429342, 0.44897042012244864, 0.06977130218434173, 0.14808834512793534, 0.003232391076036603, 0.26320369199321075, 0.06279880319119469, 0.025016758112689934, 0.030733339161284873, 0.23227377063468904, 0.19107520857800706, 0.03168999937337798, -0.17070968922328306, -0.041145834769751574, 0.14095293018161445] |
709.3386 | Exploring the transition into the Chiral Regime of QCD using the
Interacting Instanton Liquid Model | The non-perturbative quark-gluon interaction depends significantly on the
value of the quark mass. In particular, in the light quark mass regime,
correlations are strongly influenced by dynamics associated to chiral symmetry
breaking. We use the Interacting Instanton Liquid Model (IILM) as a tool to
investigate the microscopic dynamical mechanisms which underly the dependence
on the quark mass and drive the transition into the chiral regime of QCD. To
ensure the validity of the model, we first verify that the dependence on the
quark mass for several observables calculated in the IILM agrees well with the
predictions of chiral perturbation theory and with lattice simulations. We then
show that a quark mass m*~80 MeV emerging naturally from the model specifies
the mass scale above which the dynamics associated with low-lying eigenmodes of
the Direac operator becomes sub-leading and the contribution of the fermion
determinant is suppressed.
| hep-lat hep-ph | the nonperturbative quarkgluon interaction depends significantly on the value of the quark mass in particular in the light quark mass regime correlations are strongly influenced by dynamics associated to chiral symmetry breaking we use the interacting instanton liquid model iilm as a tool to investigate the microscopic dynamical mechanisms which underly the dependence on the quark mass and drive the transition into the chiral regime of qcd to ensure the validity of the model we first verify that the dependence on the quark mass for several observables calculated in the iilm agrees well with the predictions of chiral perturbation theory and with lattice simulations we then show that a quark mass m80 mev emerging naturally from the model specifies the mass scale above which the dynamics associated with lowlying eigenmodes of the direac operator becomes subleading and the contribution of the fermion determinant is suppressed | [['the', 'nonperturbative', 'quarkgluon', 'interaction', 'depends', 'significantly', 'on', 'the', 'value', 'of', 'the', 'quark', 'mass', 'in', 'particular', 'in', 'the', 'light', 'quark', 'mass', 'regime', 'correlations', 'are', 'strongly', 'influenced', 'by', 'dynamics', 'associated', 'to', 'chiral', 'symmetry', 'breaking', 'we', 'use', 'the', 'interacting', 'instanton', 'liquid', 'model', 'iilm', 'as', 'a', 'tool', 'to', 'investigate', 'the', 'microscopic', 'dynamical', 'mechanisms', 'which', 'underly', 'the', 'dependence', 'on', 'the', 'quark', 'mass', 'and', 'drive', 'the', 'transition', 'into', 'the', 'chiral', 'regime', 'of', 'qcd', 'to', 'ensure', 'the', 'validity', 'of', 'the', 'model', 'we', 'first', 'verify', 'that', 'the', 'dependence', 'on', 'the', 'quark', 'mass', 'for', 'several', 'observables', 'calculated', 'in', 'the', 'iilm', 'agrees', 'well', 'with', 'the', 'predictions', 'of', 'chiral', 'perturbation', 'theory', 'and', 'with', 'lattice', 'simulations', 'we', 'then', 'show', 'that', 'a', 'quark', 'mass', 'm80', 'mev', 'emerging', 'naturally', 'from', 'the', 'model', 'specifies', 'the', 'mass', 'scale', 'above', 'which', 'the', 'dynamics', 'associated', 'with', 'lowlying', 'eigenmodes', 'of', 'the', 'direac', 'operator', 'becomes', 'subleading', 'and', 'the', 'contribution', 'of', 'the', 'fermion', 'determinant', 'is', 'suppressed']] | [-0.09260466993307798, 0.2522881353700844, -0.10184153324613969, 0.10313230288981383, -0.03517367956232596, -0.06374881021959784, 0.035179734322203636, 0.30200026417959536, -0.20757486257611568, -0.2633292561513372, 0.02532920619786536, -0.295125079861868, -0.09217712567058495, 0.11104551025750374, 0.07072370099033126, 0.060047991515602916, 0.010039301802559445, 0.0595271693309769, -0.10152541094905448, -0.1621091475762013, 0.3737097589215005, 0.023692551636486314, 0.2576897552612031, 0.171633802908117, 0.06099108382477425, -0.0072290850536470925, 0.006532946650016432, -0.041352115778459445, -0.13490988062777534, 0.023226528577247843, 0.13139391429204908, -0.006797995764322372, 0.14869418015910518, -0.391490510199219, -0.18669847922703614, 0.04923968137235432, 0.14514941821754393, 0.12307647266910256, -0.037683342382176, -0.2784721667542019, 0.05259857786909884, -0.21058973511066548, -0.2001410678316865, -0.09489364345467442, -0.038913532229748346, -0.02852205384685173, -0.3041991197128987, 0.1185392539062175, -0.01647832593254053, -0.01377416291506961, -0.046475314564304426, -0.11491747131933355, -0.09991038301409895, 0.08853717644443451, 0.122292273866252, 0.052304452424222186, 0.1745532275437856, -0.2104929841233469, -0.09316017749370076, 0.43143430462158805, -0.06960886604550372, -0.15290811663079593, 0.1489094909597447, -0.17671844073467785, -0.14428542938549072, 0.10856381788228948, 0.16353322219381677, 0.09619406084594731, -0.13192665633586229, 0.10359464693505692, -0.0517304474940627, 0.19107169466749635, 0.012523237774277933, 0.05435272247672805, 0.26070896359548595, 0.2079728713110348, -0.02575079911103886, 0.08608091187852551, -0.04673127080362368, -0.18679415530116078, -0.3395848659371647, -0.07445698831644323, -0.16645392046646318, 0.03787083529621466, -0.11129920628900436, -0.1627463953401376, 0.4352083560144011, 0.18848691039278898, 0.23355405853362754, 0.03607541779961644, 0.2644245073849258, 0.13974169904516506, 0.09975585580590025, 0.06177637014964906, 0.29189183518044753, 0.21199235296484809, 0.08227157815094364, -0.358368637568977, -0.005142949547411667, 0.11923666949183422] |
709.3387 | Finite-Dimensional Calculus | We discuss topics related to finite-dimensional calculus in the context of
finite-dimensional quantum mechanics. The truncated Heisenberg-Weyl algebra is
called a TAA algebra after Tekin, Aydin, and Arik who formulated it in terms of
orthofermions. It is shown how to use a matrix approach to implement analytic
representations of the Heisenberg-Weyl algebra in univariate and multivariate
settings. We provide examples for the univariate case. Krawtchouk polynomials
are presented in detail, including a review of Krawtchouk polynomials that
illustrates some curious properties of the Heisenberg-Weyl algebra, as well as
presenting an approach to computing Krawtchouk expansions. From a mathematical
perspective, we are providing indications as to how to implement in finite
terms Rota's "finite operator calculus".
| math-ph math.MP | we discuss topics related to finitedimensional calculus in the context of finitedimensional quantum mechanics the truncated heisenbergweyl algebra is called a taa algebra after tekin aydin and arik who formulated it in terms of orthofermions it is shown how to use a matrix approach to implement analytic representations of the heisenbergweyl algebra in univariate and multivariate settings we provide examples for the univariate case krawtchouk polynomials are presented in detail including a review of krawtchouk polynomials that illustrates some curious properties of the heisenbergweyl algebra as well as presenting an approach to computing krawtchouk expansions from a mathematical perspective we are providing indications as to how to implement in finite terms rotas finite operator calculus | [['we', 'discuss', 'topics', 'related', 'to', 'finitedimensional', 'calculus', 'in', 'the', 'context', 'of', 'finitedimensional', 'quantum', 'mechanics', 'the', 'truncated', 'heisenbergweyl', 'algebra', 'is', 'called', 'a', 'taa', 'algebra', 'after', 'tekin', 'aydin', 'and', 'arik', 'who', 'formulated', 'it', 'in', 'terms', 'of', 'orthofermions', 'it', 'is', 'shown', 'how', 'to', 'use', 'a', 'matrix', 'approach', 'to', 'implement', 'analytic', 'representations', 'of', 'the', 'heisenbergweyl', 'algebra', 'in', 'univariate', 'and', 'multivariate', 'settings', 'we', 'provide', 'examples', 'for', 'the', 'univariate', 'case', 'krawtchouk', 'polynomials', 'are', 'presented', 'in', 'detail', 'including', 'a', 'review', 'of', 'krawtchouk', 'polynomials', 'that', 'illustrates', 'some', 'curious', 'properties', 'of', 'the', 'heisenbergweyl', 'algebra', 'as', 'well', 'as', 'presenting', 'an', 'approach', 'to', 'computing', 'krawtchouk', 'expansions', 'from', 'a', 'mathematical', 'perspective', 'we', 'are', 'providing', 'indications', 'as', 'to', 'how', 'to', 'implement', 'in', 'finite', 'terms', 'rotas', 'finite', 'operator', 'calculus']] | [-0.06098676612288857, 0.03213302231194705, -0.12098276952747256, 0.11619644721213263, -0.1433167893992504, -0.1502648715229173, -0.011303168802572015, 0.360179779128105, -0.32101861647762625, -0.1994268314447254, 0.13626701677172345, -0.2254460337447069, -0.24670072081166186, 0.22246645281224378, -0.15867985078200167, 0.023443081316405108, 0.027360885504354622, 0.06257929005810833, -0.12439154216346131, -0.25716021886598484, 0.31051177599459023, 0.047171551762273466, 0.2042284440166051, 0.004995482410387402, 0.12551890666197454, 0.04145440102521596, -0.051156653091311455, -0.03621969856924677, -0.11183671813997924, 0.11385941179677113, 0.3631969941447356, 0.1599808784875287, 0.27576908101452446, -0.39706057453128907, -0.10205861151085369, 0.11677007971697353, 0.18072083462694927, 0.07613808172754943, -0.02956952466878907, -0.28759653486901826, 0.021404432141155536, -0.24485598640084, -0.1686495067551732, -0.16546145074244123, 0.038315927310447605, -0.01585962688633507, -0.25999530934599796, 0.051488692506349514, 0.06962557265277221, 0.11436456554136905, -0.02369369168133874, -0.14347452508185857, 0.03626388182289832, 0.043385147025609125, -0.011830112293994586, -0.02478885999464962, 0.09912644500582246, -0.08127499111079876, -0.20057678559013375, 0.3836098845432779, 0.017630264964412033, -0.2850632130160063, 0.13129261984223767, -0.1551715902169235, -0.19023841887662588, -0.004456239012402615, 0.11686642690827805, 0.10291597743967681, -0.10890822231885977, 0.15683401087777124, -0.090058877132833, 0.03406310394036284, 0.06531893591662603, 0.048645694220405336, 0.1212888241363024, 0.0847609101661614, -0.01800954044197819, 0.18593046173503222, 0.07471181295113638, -0.18005201335264637, -0.3517619630687737, -0.17425965539379312, -0.16035038267520058, 0.0432704714434554, -0.08726187189599191, -0.18893855113414507, 0.4187198904276426, 0.16185848753126006, 0.16313202946912497, 0.07735353760654107, 0.22382204876547412, 0.14974594628126528, 0.04972802441417506, 0.03372331565853009, 0.09831946401936875, 0.27396545700737207, 0.08697016661920186, -0.11911886595771648, -0.006081173148621539, 0.17632148718517524] |
709.3388 | Loop-closure principles in protein folding | Simple theoretical concepts and models have been helpful to understand the
folding rates and routes of single-domain proteins. As reviewed in this
article, a physical principle that appears to underly these models is loop
closure.
| q-bio.BM | simple theoretical concepts and models have been helpful to understand the folding rates and routes of singledomain proteins as reviewed in this article a physical principle that appears to underly these models is loop closure | [['simple', 'theoretical', 'concepts', 'and', 'models', 'have', 'been', 'helpful', 'to', 'understand', 'the', 'folding', 'rates', 'and', 'routes', 'of', 'singledomain', 'proteins', 'as', 'reviewed', 'in', 'this', 'article', 'a', 'physical', 'principle', 'that', 'appears', 'to', 'underly', 'these', 'models', 'is', 'loop', 'closure']] | [-0.07901656718126365, 0.15227991810866764, -0.12115139145004962, 0.1491516907300268, -0.10617648112986769, -0.14109167782589793, 0.0475226284137794, 0.40097425345863613, -0.2971332405294691, -0.2676082730293274, 0.05964992067310959, -0.2005670698891793, -0.23427388330123255, 0.21119757448988302, -0.06435226989643915, 0.06673050682459558, 0.05843483123130032, 0.02997877150774002, -0.01894402218583439, -0.1778631144868476, 0.26432242297700476, 0.09535500896828515, 0.28193034476467543, 0.0864142368713926, 0.07565880484346832, -0.12106108421991979, 0.0238181426455932, 0.03608824589422771, -0.19858179447078977, 0.1560351992125756, 0.3135015533532299, 0.10917915292749447, 0.21040509598595755, -0.4875335878027337, -0.29506356636328357, 0.09414297553843685, 0.16728143670729229, 0.14046086929738522, -0.01698285916021892, -0.21776716946956834, 0.11268155907413789, -0.1327651054731437, -0.14953363497874567, -0.14047504696604196, 0.014418148129646266, 0.027558701684964555, -0.16673028378614357, 0.030157333639051234, 0.09509574052478587, 0.06484369728714227, -0.0361882569534438, -0.1318430697279317, 0.012402783214513744, 0.15328202028093593, 0.09349855980835856, 0.03886719065319214, 0.13403115849941968, -0.08279174113247012, -0.2079330853585686, 0.413920727185905, 0.07506011761724948, -0.1924044910286154, 0.2799633060448936, -0.06486832959843533, -0.19756301572280272, 0.0844711413207863, 0.15353381037712097, 0.08620263107254036, -0.23094464282372168, 0.035406381527094966, 0.008135334083012173, 0.11365852898785046, 0.009506868491215365, 0.018453954027167388, 0.25126923928037287, 0.23257100539548056, -0.05684549927578441, 0.08697713783809118, -0.01950704716145992, -0.17860709628356355, -0.26886202991008756, -0.1405143887336765, -0.08575006883059229, 0.042717811205823505, -0.01235415493720211, -0.1248894655544843, 0.3758254616388253, 0.15013767097677502, 0.17651292655084813, 0.022329536665763174, 0.25743243635765145, 0.057528012322394975, 0.08430511948785611, -0.034565458433436495, 0.23632900643029384, 0.17198558252836976, 0.0936551079686199, -0.1983162875287235, 0.12770748991918351, 0.08056768777647189] |
709.3389 | Gauge Variant Symmetries for the Schr\"odinger Equation | The last multiplier of Jacobi provides a route for the determination of
families of Lagrangians for a given system. We show that the members of a
family are equivalent in that they differ by a total time derivative. We derive
the Schr\"odinger equation for a one-degree-of-freedom system with a constant
multiplier. In the sequel we consider the particular example of the simple
harmonic oscillator. In the case of the general equation for the simple
harmonic oscillator which contains an arbitrary function we show that all
Schr\"odinger equations possess the same number of Lie point symmetries with
the same algebra. From the symmetries we construct the solutions of the
Schr\"odinger equation and find that they differ only by a phase determined by
the gauge.
| nlin.SI | the last multiplier of jacobi provides a route for the determination of families of lagrangians for a given system we show that the members of a family are equivalent in that they differ by a total time derivative we derive the schrodinger equation for a onedegreeoffreedom system with a constant multiplier in the sequel we consider the particular example of the simple harmonic oscillator in the case of the general equation for the simple harmonic oscillator which contains an arbitrary function we show that all schrodinger equations possess the same number of lie point symmetries with the same algebra from the symmetries we construct the solutions of the schrodinger equation and find that they differ only by a phase determined by the gauge | [['the', 'last', 'multiplier', 'of', 'jacobi', 'provides', 'a', 'route', 'for', 'the', 'determination', 'of', 'families', 'of', 'lagrangians', 'for', 'a', 'given', 'system', 'we', 'show', 'that', 'the', 'members', 'of', 'a', 'family', 'are', 'equivalent', 'in', 'that', 'they', 'differ', 'by', 'a', 'total', 'time', 'derivative', 'we', 'derive', 'the', 'schrodinger', 'equation', 'for', 'a', 'onedegreeoffreedom', 'system', 'with', 'a', 'constant', 'multiplier', 'in', 'the', 'sequel', 'we', 'consider', 'the', 'particular', 'example', 'of', 'the', 'simple', 'harmonic', 'oscillator', 'in', 'the', 'case', 'of', 'the', 'general', 'equation', 'for', 'the', 'simple', 'harmonic', 'oscillator', 'which', 'contains', 'an', 'arbitrary', 'function', 'we', 'show', 'that', 'all', 'schrodinger', 'equations', 'possess', 'the', 'same', 'number', 'of', 'lie', 'point', 'symmetries', 'with', 'the', 'same', 'algebra', 'from', 'the', 'symmetries', 'we', 'construct', 'the', 'solutions', 'of', 'the', 'schrodinger', 'equation', 'and', 'find', 'that', 'they', 'differ', 'only', 'by', 'a', 'phase', 'determined', 'by', 'the', 'gauge']] | [-0.1572436531551364, 0.0926311744924311, -0.06865571887796457, 0.02093201422897296, -0.05867577332726914, -0.1307980716872082, -0.0065042168750026365, 0.3247208627682876, -0.2541891453935333, -0.2457021012394954, 0.07890266975543152, -0.2783282188683506, -0.1642007948717148, 0.19772477727572668, -0.015602378946978872, 0.016386919552687465, 0.055581064800148815, 0.09836025395226188, -0.11653082550889472, -0.22780383523833764, 0.3716382914775513, -0.03186531821492969, 0.1936494981173456, -0.03003745638894114, 0.15693916065800118, 0.0007629767703876747, 0.026270820208393584, -0.01746599825583701, -0.1518702500140601, 0.09965878984762158, 0.18659643136434317, 0.0669992004665054, 0.24116150595671762, -0.39371964601966425, -0.2035512947628835, 0.11207594491193086, 0.12084187270043706, 0.14101206197316296, -0.06430960813824965, -0.2653248943975271, 0.050890557465098074, -0.17226515805757628, -0.19829588007215956, -0.06007393314768144, 0.027324984561863955, 0.0776450869180565, -0.2468706354559437, 0.08210619782832096, 0.07167553055910318, 0.03357047077298649, -0.11804000203066119, -0.08386139101178454, -0.041373716690009686, 0.08705904670211116, -0.010993946929522828, -0.013053114006363945, 0.04871271859013998, -0.12271993811884933, -0.09504420254985249, 0.41527263004838194, -0.10179346717697213, -0.2690136896082431, 0.12182397495319204, -0.15739821580927668, -0.15257215908372668, 0.08873628217772081, 0.12349733319587824, 0.14980635431602718, -0.14754755109760578, 0.1426591380850442, -0.07168418852748668, 0.1357153890937438, 0.07871896083413707, -0.003876847714257646, 0.1403007854790828, 0.0822542312922244, 0.10572497535693814, 0.1464068515584009, 0.022406295282629933, -0.09854737065762766, -0.37553722587058214, -0.18677549797102688, -0.16180828465546324, 0.08260126648152746, -0.0906903051251377, -0.17732199739165058, 0.450209568580234, 0.1238228115291009, 0.18462193831498544, 0.0711034816335811, 0.18559420501767862, 0.23718336663716208, 0.06315363763558973, 0.07142050004738375, 0.2437007188857571, 0.14249072142127084, 0.05711559904360674, -0.20812513253924142, -0.04613917881132641, 0.13228319510363223] |
709.339 | Composition of UHECR and the Pierre Auger Observatory Spectrum | We fit the recently published Pierre Auger ultra-high energy cosmic ray
spectrum assuming that either nucleons or nuclei are emitted at the sources. We
consider the simplified cases of pure proton, or pure oxygen, or pure iron
injection. We perform an exhaustive scan in the source evolution factor, the
spectral index, the maximum energy of the source spectrum Z E_{max}, and the
minimum distance to the sources. We show that the Pierre Auger spectrum agrees
with any of the source compositions we assumed. For iron, in particular, there
are two distinct solutions with high and low E_{max} (e.g. 6.4 10^{20} eV and 2
10^{19} eV) respectively which could be distinguished by either a large
fraction or the near absence of proton primaries at the highest energies. We
raise the possibility that an iron dominated injected flux may be in line with
the latest composition measurement from the Pierre Auger Observatory where a
hint of heavy element dominance is seen.
| astro-ph | we fit the recently published pierre auger ultrahigh energy cosmic ray spectrum assuming that either nucleons or nuclei are emitted at the sources we consider the simplified cases of pure proton or pure oxygen or pure iron injection we perform an exhaustive scan in the source evolution factor the spectral index the maximum energy of the source spectrum z e_max and the minimum distance to the sources we show that the pierre auger spectrum agrees with any of the source compositions we assumed for iron in particular there are two distinct solutions with high and low e_max eg 64 1020 ev and 2 1019 ev respectively which could be distinguished by either a large fraction or the near absence of proton primaries at the highest energies we raise the possibility that an iron dominated injected flux may be in line with the latest composition measurement from the pierre auger observatory where a hint of heavy element dominance is seen | [['we', 'fit', 'the', 'recently', 'published', 'pierre', 'auger', 'ultrahigh', 'energy', 'cosmic', 'ray', 'spectrum', 'assuming', 'that', 'either', 'nucleons', 'or', 'nuclei', 'are', 'emitted', 'at', 'the', 'sources', 'we', 'consider', 'the', 'simplified', 'cases', 'of', 'pure', 'proton', 'or', 'pure', 'oxygen', 'or', 'pure', 'iron', 'injection', 'we', 'perform', 'an', 'exhaustive', 'scan', 'in', 'the', 'source', 'evolution', 'factor', 'the', 'spectral', 'index', 'the', 'maximum', 'energy', 'of', 'the', 'source', 'spectrum', 'z', 'e_max', 'and', 'the', 'minimum', 'distance', 'to', 'the', 'sources', 'we', 'show', 'that', 'the', 'pierre', 'auger', 'spectrum', 'agrees', 'with', 'any', 'of', 'the', 'source', 'compositions', 'we', 'assumed', 'for', 'iron', 'in', 'particular', 'there', 'are', 'two', 'distinct', 'solutions', 'with', 'high', 'and', 'low', 'e_max', 'eg', '64', '1020', 'ev', 'and', '2', '1019', 'ev', 'respectively', 'which', 'could', 'be', 'distinguished', 'by', 'either', 'a', 'large', 'fraction', 'or', 'the', 'near', 'absence', 'of', 'proton', 'primaries', 'at', 'the', 'highest', 'energies', 'we', 'raise', 'the', 'possibility', 'that', 'an', 'iron', 'dominated', 'injected', 'flux', 'may', 'be', 'in', 'line', 'with', 'the', 'latest', 'composition', 'measurement', 'from', 'the', 'pierre', 'auger', 'observatory', 'where', 'a', 'hint', 'of', 'heavy', 'element', 'dominance', 'is', 'seen']] | [-0.07304648746320475, 0.21955183375668536, 0.0037845622619274277, 0.10644434985346687, 0.00141160575374258, -0.07939896810984344, 0.03547633256479137, 0.40336926850056826, -0.22393712252612757, -0.37746663350588494, 0.03761619432542309, -0.38924285665787056, 0.033499135928661945, 0.17065599747002125, 0.053023035480251314, -0.04072235055478676, 0.05844799914095645, -0.01901167185988816, -0.06466669388446347, -0.15718992330784085, 0.30171507091478167, 0.18299449250430055, 0.2546441883416905, 0.08679305720538392, 0.05515921040900848, -0.020256758570881946, -0.027520288572699395, -0.01521587624051361, -0.09832022239306008, 0.07721693712321795, 0.2307083179907721, 0.10644208604715905, 0.12533717443756526, -0.3920195071296122, -0.21493066783991507, 0.15804896335287383, 0.11536499436565092, 0.04554441318416722, -0.07335147327368599, -0.23257238930091262, 0.09008332990320786, -0.19078479887936492, -0.17473647766014408, 0.07351646833297498, -0.04211116082521167, 0.02664860506225729, -0.22987865271784788, 0.0825628646277477, -0.004444886611059964, 0.043368740547624116, -0.10760258908790636, -0.19762856141025634, -0.027014067718677176, 0.07237309842581316, 0.0691227890988929, 0.025714936168313777, 0.1446297132269532, -0.08873582596205315, -0.10023732883738554, 0.36108369785566, -0.09791026720132842, -0.05253702804809378, 0.1719095249156579, -0.2056386450044928, -0.1479625521409296, 0.21580235589787644, 0.10902835024848768, 0.09014101068411644, -0.13329153806216423, 0.08051067533219708, -0.006845582247295845, 0.22253070785751883, 0.08694505002408189, 0.011491223393628994, 0.2403209505869228, 0.11269243211051999, 0.0730572961960515, 0.03779238580327786, -0.16544285964121186, 0.02568118005797689, -0.29649695254270714, -0.12410833383471055, -0.16824646406139265, 0.1224902466864987, -0.054655117872804436, -0.13133679669124876, 0.3774764801803156, 0.05782751488988434, 0.19857992929605614, -0.04580328725322308, 0.25553857692101467, 0.12598388085548864, 0.03824585635923786, 0.10196725686766067, 0.29158193003034816, 0.07984968337944984, 0.08520286442908172, -0.20508359147839061, 0.04958540613546311, -0.002770004492346783] |
709.3391 | General relativity, Lauricella's hypergeometric function $F_D$ and the
theory of braids | The exact (closed form) solutions of the equations of motion in the theory of
general relativity that describe motion of test particle and photon in Kerr and
Kerr-(anti) de Sitter spacetimes all involve the multivariable hypergeometric
function of Lauricella $F_D$: Kraniotis [Class. Quantum Grav. {\bf 21} 2004,
4743; Class. Quantum Grav. {\bf 22} 2005, 4391; Class. Quantum Grav. {\bf 24}
2007, 1775]. The domain of variables ${\cal D}_n$ of the corresponding function
depends on the first integrals of motion associated with the isometries of the
Kerr-(anti) de Sitter metric and Carter's constant $Q$ as well as on the
cosmological constant $\Lambda$ and the Kerr (rotation) parameter. In this work
we discuss the topological properties of the domain ${\cal D}_n$ and in
particular its fundamental connection with the theory of braids. An intrinsic
relationship of general relativity with the pure braids is established.
| gr-qc | the exact closed form solutions of the equations of motion in the theory of general relativity that describe motion of test particle and photon in kerr and kerranti de sitter spacetimes all involve the multivariable hypergeometric function of lauricella f_d kraniotis class quantum grav bf 21 2004 4743 class quantum grav bf 22 2005 4391 class quantum grav bf 24 2007 1775 the domain of variables cal d_n of the corresponding function depends on the first integrals of motion associated with the isometries of the kerranti de sitter metric and carters constant q as well as on the cosmological constant lambda and the kerr rotation parameter in this work we discuss the topological properties of the domain cal d_n and in particular its fundamental connection with the theory of braids an intrinsic relationship of general relativity with the pure braids is established | [['the', 'exact', 'closed', 'form', 'solutions', 'of', 'the', 'equations', 'of', 'motion', 'in', 'the', 'theory', 'of', 'general', 'relativity', 'that', 'describe', 'motion', 'of', 'test', 'particle', 'and', 'photon', 'in', 'kerr', 'and', 'kerranti', 'de', 'sitter', 'spacetimes', 'all', 'involve', 'the', 'multivariable', 'hypergeometric', 'function', 'of', 'lauricella', 'f_d', 'kraniotis', 'class', 'quantum', 'grav', 'bf', '21', '2004', '4743', 'class', 'quantum', 'grav', 'bf', '22', '2005', '4391', 'class', 'quantum', 'grav', 'bf', '24', '2007', '1775', 'the', 'domain', 'of', 'variables', 'cal', 'd_n', 'of', 'the', 'corresponding', 'function', 'depends', 'on', 'the', 'first', 'integrals', 'of', 'motion', 'associated', 'with', 'the', 'isometries', 'of', 'the', 'kerranti', 'de', 'sitter', 'metric', 'and', 'carters', 'constant', 'q', 'as', 'well', 'as', 'on', 'the', 'cosmological', 'constant', 'lambda', 'and', 'the', 'kerr', 'rotation', 'parameter', 'in', 'this', 'work', 'we', 'discuss', 'the', 'topological', 'properties', 'of', 'the', 'domain', 'cal', 'd_n', 'and', 'in', 'particular', 'its', 'fundamental', 'connection', 'with', 'the', 'theory', 'of', 'braids', 'an', 'intrinsic', 'relationship', 'of', 'general', 'relativity', 'with', 'the', 'pure', 'braids', 'is', 'established']] | [-0.16315468261353402, 0.12136736077354073, -0.04324012295604288, 0.041331657439657894, -0.08873277532754184, -0.11919866616522773, -0.021138704546037123, 0.2613586478082718, -0.19548431459291699, -0.2857018264023949, 0.06145710251696086, -0.2418315902472936, -0.1678508636390911, 0.17620172739956902, -0.09655684006036923, 0.0721190532316829, -0.030607463984596107, 0.04371162996754693, -0.0991952709314286, -0.23548582305950816, 0.3327407213731957, 0.017098789975187816, 0.2322081684439758, -0.04185428588296012, 0.13625221402659046, 0.01843560277316853, -0.02659671413276693, -0.022882935547490987, -0.21737004919573305, 0.07940954944870951, 0.21840021528786036, 0.10854256854948702, 0.1686842884439573, -0.33399032690166996, -0.14445351291340675, 0.09469944734474738, 0.08809876763898371, 0.08153744846609214, 0.017977694769745037, -0.3389699126144858, 0.020931417400539994, -0.17790359745083525, -0.15910093665538397, -0.04473690183417831, 0.12551133573832488, 0.001099711779853423, -0.21015746437227553, 0.14716769409158248, 0.09592559201753424, 0.043855700608369685, -0.062326049694302325, -0.08774563143358118, -0.021843208356847544, 0.05953310742277464, 0.049835341215374876, 0.09122861102692408, 0.09246137489484314, -0.11777703014282818, -0.18536613437702223, 0.3957286808612964, -0.08291624351856869, -0.2408920081747736, 0.11833269939684182, -0.20236107668832695, -0.14460924588036622, 0.06679095425341519, 0.1379103072945752, 0.21400640400046175, -0.07949845319305607, 0.26556952018081376, -0.035199451941172695, 0.125704529330054, 0.14162105146842413, 0.030359733943984904, 0.19482499894371136, 0.02005622436279069, -0.0021318832794271357, 0.09743671998274413, -0.01737354686291111, -0.15078370874243446, -0.39793270169723804, -0.22522990493247916, -0.14999616171579672, 0.15910298919318605, -0.16921119873272505, -0.20842182653011393, 0.3602927310053902, 0.047110146367185406, 0.11877294389611419, 0.046085770536723324, 0.12734467878589312, 0.10686737003320788, -0.016782024553675445, 0.09078723044476385, 0.26591282218138573, 0.21121159716167573, 0.09648467503193257, -0.24804728309014182, -0.08814917989209187, 0.1213130154027168] |
709.3392 | Optimally localized Wannier functions for quasi one-dimensional
nonperiodic insulators | It is proved that for general, not necessarily periodic quasi one dimensional
systems, the band position operator corresponding to an isolated part of the
energy spectrum has discrete spectrum and its eigenfunctions have the same
spatial localization as the corresponding spectral projection.
As a consequence, an eigenbasis of the band position operator provides a
basis of optimally localized (generalized) Wannier functions for quasi one
dimensional systems, thus proving the "strong conjecture" of Marzari and
Vanderbilt. If the system has some translation symmetries (e.g. usual
translations, screw transformations), they are "inherited" by the Wannier
basis.
| cond-mat.other math-ph math.MP | it is proved that for general not necessarily periodic quasi one dimensional systems the band position operator corresponding to an isolated part of the energy spectrum has discrete spectrum and its eigenfunctions have the same spatial localization as the corresponding spectral projection as a consequence an eigenbasis of the band position operator provides a basis of optimally localized generalized wannier functions for quasi one dimensional systems thus proving the strong conjecture of marzari and vanderbilt if the system has some translation symmetries eg usual translations screw transformations they are inherited by the wannier basis | [['it', 'is', 'proved', 'that', 'for', 'general', 'not', 'necessarily', 'periodic', 'quasi', 'one', 'dimensional', 'systems', 'the', 'band', 'position', 'operator', 'corresponding', 'to', 'an', 'isolated', 'part', 'of', 'the', 'energy', 'spectrum', 'has', 'discrete', 'spectrum', 'and', 'its', 'eigenfunctions', 'have', 'the', 'same', 'spatial', 'localization', 'as', 'the', 'corresponding', 'spectral', 'projection', 'as', 'a', 'consequence', 'an', 'eigenbasis', 'of', 'the', 'band', 'position', 'operator', 'provides', 'a', 'basis', 'of', 'optimally', 'localized', 'generalized', 'wannier', 'functions', 'for', 'quasi', 'one', 'dimensional', 'systems', 'thus', 'proving', 'the', 'strong', 'conjecture', 'of', 'marzari', 'and', 'vanderbilt', 'if', 'the', 'system', 'has', 'some', 'translation', 'symmetries', 'eg', 'usual', 'translations', 'screw', 'transformations', 'they', 'are', 'inherited', 'by', 'the', 'wannier', 'basis']] | [-0.1341347963093443, 0.09865125235042564, -0.09041922576626406, 0.08336676668222161, -0.035707093388872575, -0.1387389527802217, -0.014664707170518244, 0.3712518895639384, -0.3062023066301295, -0.20006717053895934, 0.11609644592898165, -0.2705967688729907, -0.11179430712202683, 0.151691909374154, -0.03487076398302266, 0.06741631682219103, 0.05719934083878043, 0.04277780585417009, -0.1289229030644105, -0.1869363162265298, 0.33777463089543436, 0.06173346249480791, 0.2948048427339366, 0.007503848413916978, 0.06289521900025453, 0.08021553905997822, 0.04538113529239088, -0.03282543707965933, -0.05458683696207949, 0.12342659419432203, 0.2184690483449463, 0.07992318400275952, 0.2671689791406723, -0.39296187793320797, -0.18137309777282892, 0.09510101679157704, 0.14852236630193805, 0.09908099979548617, -0.011382256722464127, -0.30861342766698685, 0.04181241711720507, -0.13633428710423648, -0.20909960894409488, -0.12515303099272831, 0.047063702727331125, -0.006570790564898957, -0.23008989387172016, 0.07490895341764739, 0.13122899465738458, 0.06383828657302767, -0.1050825932897885, -0.08094239907903954, -0.13961864132533205, 0.11049569186635633, 0.007615900615804848, 0.04069925704970956, 0.052429686128929696, -0.04376539573314268, -0.13672330894041806, 0.4080459209694032, -0.00789570692490707, -0.24838403247772378, 0.18513061974118364, -0.15022458254478555, -0.10946668731544087, 0.12282072799527978, 0.08937780536275278, 0.09929196223705769, -0.1273382475514193, 0.16642528386821256, -0.09010716929952516, 0.16483260096704705, 0.08111822103308712, 0.10391328895298586, 0.1830129279715425, 0.0623950260651714, 0.13940516900162192, 0.08538586020152619, -0.04540034091382466, -0.0565823227974606, -0.28704120394119875, -0.16934292031293538, -0.27218545044950665, 0.047997056895605676, -0.05242285394930885, -0.2302315036488816, 0.451862656080382, 0.024636010459792662, 0.16401961460174558, 0.022986913298038727, 0.1993116378992241, 0.22182376778615204, 0.08848987061015152, 0.07447339053899843, 0.189353718371886, 0.13124916359702957, 0.06435005056691613, -0.18511541185286293, -0.026884137831152753, 0.15902818087488413] |
709.3393 | Pulsation of EE Cam | EE Cam is a previously little studied Delta Scuti pulsator with amplitudes
between those of the HADS (High-Amplitude Delta Scuti stars) group and the
average low-amplitude pulsators. Since the size of stellar rotation determines
both which pulsation modes are selected by the star as well as their
amplitudes, the star offers a great opportunity to examine the astrophysical
connections. Extensive photometric measurements covering several months were
carried out. 15 significant pulsation frequencies were extracted. The dominant
mode at 4.934 cd$^{-1}$ was identified as a radial mode by examining the phase
shifts at different wavelengths. Medium-dispersion spectra yielded a $v\sin i$
value of $40 \pm 3$ km s$^{-1}$. This shows that EE Cam belongs to the
important transition region between the HADS and normal Delta Scuti stars.
| astro-ph | ee cam is a previously little studied delta scuti pulsator with amplitudes between those of the hads highamplitude delta scuti stars group and the average lowamplitude pulsators since the size of stellar rotation determines both which pulsation modes are selected by the star as well as their amplitudes the star offers a great opportunity to examine the astrophysical connections extensive photometric measurements covering several months were carried out 15 significant pulsation frequencies were extracted the dominant mode at 4934 cd1 was identified as a radial mode by examining the phase shifts at different wavelengths mediumdispersion spectra yielded a vsin i value of 40 pm 3 km s1 this shows that ee cam belongs to the important transition region between the hads and normal delta scuti stars | [['ee', 'cam', 'is', 'a', 'previously', 'little', 'studied', 'delta', 'scuti', 'pulsator', 'with', 'amplitudes', 'between', 'those', 'of', 'the', 'hads', 'highamplitude', 'delta', 'scuti', 'stars', 'group', 'and', 'the', 'average', 'lowamplitude', 'pulsators', 'since', 'the', 'size', 'of', 'stellar', 'rotation', 'determines', 'both', 'which', 'pulsation', 'modes', 'are', 'selected', 'by', 'the', 'star', 'as', 'well', 'as', 'their', 'amplitudes', 'the', 'star', 'offers', 'a', 'great', 'opportunity', 'to', 'examine', 'the', 'astrophysical', 'connections', 'extensive', 'photometric', 'measurements', 'covering', 'several', 'months', 'were', 'carried', 'out', '15', 'significant', 'pulsation', 'frequencies', 'were', 'extracted', 'the', 'dominant', 'mode', 'at', '4934', 'cd1', 'was', 'identified', 'as', 'a', 'radial', 'mode', 'by', 'examining', 'the', 'phase', 'shifts', 'at', 'different', 'wavelengths', 'mediumdispersion', 'spectra', 'yielded', 'a', 'vsin', 'i', 'value', 'of', '40', 'pm', '3', 'km', 's1', 'this', 'shows', 'that', 'ee', 'cam', 'belongs', 'to', 'the', 'important', 'transition', 'region', 'between', 'the', 'hads', 'and', 'normal', 'delta', 'scuti', 'stars']] | [-0.1253488234523684, 0.19511949885636568, -0.06822475678101182, 0.06443793620169162, -0.1346047845967114, -0.13699342705029993, 0.14290780726075172, 0.3751622599065304, -0.16268987064808607, -0.32527066429704427, 0.041926797459833326, -0.32923319675028323, -0.05516474569588899, 0.2169621392264962, -0.014423994403681717, 0.009383801576681436, 0.11626389415748417, -0.006259236912243068, -0.04117586743272841, -0.18810152475535868, 0.20677861176617443, 0.02223307475075126, 0.1579483948200941, -0.09180356530478458, 0.013143964147660881, -0.1085989727154374, -0.1048195965886116, -0.08759608245640993, -0.1893312338984688, -0.03848427677340806, 0.2519270469341427, 0.10865345693379641, 0.22761182124912738, -0.24797044526413084, -0.20620529770851134, 0.052662748347967865, 0.20886136135831476, -0.01181385168340057, 0.0292878282063175, -0.2691976180989295, 0.07685167493671179, -0.14403686806000768, -0.1458603035728447, 0.011863302439451218, 0.13740167868882416, 0.04161710100993514, -0.22771342185139656, 0.12072944304533303, -0.0042709980187937615, 0.1756053666435182, -0.07914664818812162, -0.20541189614310862, -0.08061165486462414, 0.09100665766745805, 0.06348126777075232, 0.11860557871405035, 0.048116329782409595, -0.0813107068259269, -0.02844394272658974, 0.3990735484920442, -0.09211483025364578, -0.016677837029099463, 0.17611917228391394, -0.22712502323975786, -0.15067982107028366, 0.14127396604418754, 0.11453344072960317, 0.12182083518244326, -0.16764759247377514, -0.008508334713988007, 0.05952986607328057, 0.21520896310731769, 0.13874014511331917, 0.0774444196857512, 0.2868405779749155, 0.1379866359308362, -0.03064070965349674, 0.07443231118144468, -0.2909250370040536, -0.027767830714583396, -0.25829073290526866, -0.05278846593014896, -0.059085136401932685, 0.047564859522506595, -0.11943012871569954, -0.08690525659918785, 0.4348968911617994, -0.0009722659327089787, 0.16673576275259255, -0.019871122657321393, 0.22647369188070296, 0.11842588483169675, 0.1157852037269622, 0.10822303713485598, 0.3734238502681255, 0.22325274627655745, 0.12331242856383323, -0.2895237288991921, 0.043667180597782136, -0.029578353431075812] |
709.3394 | Cluster and nebular properties of the central star-forming region of NGC
1140 | We present new high spatial resolution HST/ACS imaging of NGC 1140 and high
spectral resolution VLT/UVES spectroscopy of its central star-forming region.
The central region contains several clusters, the two brightest of which are
clusters 1 and 6 from Hunter, O'Connell & Gallagher, located within
star-forming knots A and B, respectively. Nebular analysis indicates that the
knots have an LMC-like metallicity of 12 + log(O/H) = 8.29 +/- 0.09. According
to continuum subtracted H alpha ACS imaging, cluster 1 dominates the nebular
emission of the brighter knot A. Conversely, negligible nebular emission in
knot B originates from cluster 6. Evolutionary synthesis modelling implies an
age of 5 +/- 1 Myr for cluster 1, from which a photometric mass of (1.1 +/-
0.3) x 10^6 Msun is obtained. For this age and photometric mass, the modelling
predicts the presence of ~5900 late O stars within cluster 1. Wolf-Rayet
features are observed in knot A, suggesting 550 late-type WN and 200 early-type
WC stars. Therefore, N(WR)/N(O) ~ 0.1, assuming that all the WR stars are
located within cluster 1. The velocity dispersions of the clusters were
measured from constituent red supergiants as sigma ~ 23 +/- 1 km/s for cluster
1 and sigma ~ 26 +/- 1 km/s for cluster 6. Combining sigma with half-light
radii of 8 +/- 2 pc and 6.0 +/- 0.2 pc measured from the F625W ACS image
implies virial masses of (10 +/- 3) x 10^6 Msun and (9.1 +/- 0.8) x 10^6 Msun
for clusters 1 and 6, respectively. The most likely reason for the difference
between the dynamical and photometric masses of cluster 1 is that the velocity
dispersion of knot A is not due solely to cluster 1, as assumed, but has an
additional component associated with cluster 2.
| astro-ph | we present new high spatial resolution hstacs imaging of ngc 1140 and high spectral resolution vltuves spectroscopy of its central starforming region the central region contains several clusters the two brightest of which are clusters 1 and 6 from hunter oconnell gallagher located within starforming knots a and b respectively nebular analysis indicates that the knots have an lmclike metallicity of 12 logoh 829 009 according to continuum subtracted h alpha acs imaging cluster 1 dominates the nebular emission of the brighter knot a conversely negligible nebular emission in knot b originates from cluster 6 evolutionary synthesis modelling implies an age of 5 1 myr for cluster 1 from which a photometric mass of 11 03 x 106 msun is obtained for this age and photometric mass the modelling predicts the presence of 5900 late o stars within cluster 1 wolfrayet features are observed in knot a suggesting 550 latetype wn and 200 earlytype wc stars therefore nwrno 01 assuming that all the wr stars are located within cluster 1 the velocity dispersions of the clusters were measured from constituent red supergiants as sigma 23 1 kms for cluster 1 and sigma 26 1 kms for cluster 6 combining sigma with halflight radii of 8 2 pc and 60 02 pc measured from the f625w acs image implies virial masses of 10 3 x 106 msun and 91 08 x 106 msun for clusters 1 and 6 respectively the most likely reason for the difference between the dynamical and photometric masses of cluster 1 is that the velocity dispersion of knot a is not due solely to cluster 1 as assumed but has an additional component associated with cluster 2 | [['we', 'present', 'new', 'high', 'spatial', 'resolution', 'hstacs', 'imaging', 'of', 'ngc', '1140', 'and', 'high', 'spectral', 'resolution', 'vltuves', 'spectroscopy', 'of', 'its', 'central', 'starforming', 'region', 'the', 'central', 'region', 'contains', 'several', 'clusters', 'the', 'two', 'brightest', 'of', 'which', 'are', 'clusters', '1', 'and', '6', 'from', 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709.3395 | A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian
submanifolds | An important problem in geometric quantization is that of quantizing certain
classes of Lagrangian submanifolds, so-called Bohr-Sommerfeld Lagrangian
submanifolds, equipped with a smooth half-density. A procedure for this in the
complex projective setting is, roughly speaking, to apply the Szego kernel of
the quantizing line bundle to a certain induced delta function supported on the
submanifold. If the quantizing line bundle L is replaced by its k-th tensor
power, and k tends to infinity, the resulting quantum states u_k concentrate
asymptotically on the submanifold. This note deals with the scaling asymptotics
of the u_k's along the submanifold; in particular, we point out a natural
factorization in the corresponding asymptotic expansion, and provide some
remainder estimates.
| math.SG math-ph math.MP | an important problem in geometric quantization is that of quantizing certain classes of lagrangian submanifolds socalled bohrsommerfeld lagrangian submanifolds equipped with a smooth halfdensity a procedure for this in the complex projective setting is roughly speaking to apply the szego kernel of the quantizing line bundle to a certain induced delta function supported on the submanifold if the quantizing line bundle l is replaced by its kth tensor power and k tends to infinity the resulting quantum states u_k concentrate asymptotically on the submanifold this note deals with the scaling asymptotics of the u_ks along the submanifold in particular we point out a natural factorization in the corresponding asymptotic expansion and provide some remainder estimates | [['an', 'important', 'problem', 'in', 'geometric', 'quantization', 'is', 'that', 'of', 'quantizing', 'certain', 'classes', 'of', 'lagrangian', 'submanifolds', 'socalled', 'bohrsommerfeld', 'lagrangian', 'submanifolds', 'equipped', 'with', 'a', 'smooth', 'halfdensity', 'a', 'procedure', 'for', 'this', 'in', 'the', 'complex', 'projective', 'setting', 'is', 'roughly', 'speaking', 'to', 'apply', 'the', 'szego', 'kernel', 'of', 'the', 'quantizing', 'line', 'bundle', 'to', 'a', 'certain', 'induced', 'delta', 'function', 'supported', 'on', 'the', 'submanifold', 'if', 'the', 'quantizing', 'line', 'bundle', 'l', 'is', 'replaced', 'by', 'its', 'kth', 'tensor', 'power', 'and', 'k', 'tends', 'to', 'infinity', 'the', 'resulting', 'quantum', 'states', 'u_k', 'concentrate', 'asymptotically', 'on', 'the', 'submanifold', 'this', 'note', 'deals', 'with', 'the', 'scaling', 'asymptotics', 'of', 'the', 'u_ks', 'along', 'the', 'submanifold', 'in', 'particular', 'we', 'point', 'out', 'a', 'natural', 'factorization', 'in', 'the', 'corresponding', 'asymptotic', 'expansion', 'and', 'provide', 'some', 'remainder', 'estimates']] | [-0.22584697262144984, 0.06736230461219989, -0.07318261386084873, 0.07739500027763929, -0.10626111495662975, -0.13607681352661644, 0.005069746172253405, 0.326560058548585, -0.27208575477774166, -0.16212672106839254, 0.09299495644595442, -0.2750283643042883, -0.1663732353218757, 0.13412096188197623, -0.1326345538028178, 0.03871916616036746, 0.066619908649359, 0.11237498445964864, -0.1060523998349765, -0.22201555841437548, 0.4275258056720537, 0.04344333996233918, 0.23397019977961558, 0.03321295990752864, 0.13063066503274115, 0.005885980170286071, 0.016485723254242007, 0.014523482952571878, -0.1437342865313367, 0.12198182132014741, 0.24292621083157878, 0.052032226544137285, 0.23574069646121193, -0.38032152676806513, -0.15842416071316506, 0.16853929203893758, 0.16055870006701586, -0.006001449478285354, 0.03752151053951048, -0.2805421619420558, 0.09759119124588582, -0.06677342122173414, -0.17924143630492015, -0.06238219479873645, -0.005634148400153273, -0.020482961026605514, -0.23677209487794776, -0.008055552691880581, 0.11242375619074874, 0.06066300752943596, -0.05151940963902733, -0.09342438276791204, -0.013698195649179078, 0.04698204700896862, 0.05334282338215384, 0.09329624201657366, 0.11601824298979038, -0.07327809176135776, -0.031550137697002004, 0.3742681894599732, -0.09610621084920666, -0.3192017705929754, 0.0830067350937103, -0.13777410716181043, -0.14928042033143277, 0.15028040877551632, 0.11078364963115778, 0.17365843512991494, -0.06349159581009793, 0.20129635532497867, -0.05416218047153897, 0.05605193557330011, 0.09401134319966083, -0.006100633041521089, 0.146535440059626, 0.08341692837544477, 0.1325359437037754, 0.15922986482789295, -0.05443181802592842, -0.13386103321295395, -0.4048504679653365, -0.20387802862786827, -0.18804208709306158, 0.17813485909245116, -0.14255065004834783, -0.18993220490968035, 0.3717430312252414, 0.056529671219548425, 0.2830625051077233, 0.11762248703064315, 0.2687932148213144, 0.13879772353571204, 0.027139515846769893, 0.09074785864079553, 0.1692173092317483, 0.2150896447710693, 0.055655391800291505, -0.15818586621013164, -0.044326903990807784, 0.1609653820638108] |
709.3396 | Cooling of Particle Beams in Storage Rings | Methods of particle beam cooling are reviewed.
| physics.acc-ph physics.class-ph | methods of particle beam cooling are reviewed | [['methods', 'of', 'particle', 'beam', 'cooling', 'are', 'reviewed']] | [-0.00519726744719914, 0.33952089133007185, -0.048330681365249414, 0.09590271354785987, 0.025860076637140343, -0.25764825620821546, -0.11780590058437415, 0.5521288248045104, -0.18040728462593897, -0.2929860789860998, 0.08811825939587184, -0.29718402134520666, 0.17589488359434263, 0.34220227580850143, 0.011398489187870706, 0.17664536288274185, 0.14924425299146346, -0.07395204369510923, -0.0954517453376736, -0.2283158568399293, 0.28758085146546364, 0.20400051400065422, 0.2753289927329336, 0.046594636514782906, 0.12987966143659183, -0.08412498608231544, -0.1586862270321165, -0.0502414804484163, -0.19876950872795923, 0.010012204093592507, 0.19010692515543529, 0.16591323858925275, 0.18451936649424688, -0.4803098312446049, -0.23973868361541203, 0.0053753698510783056, 0.20993027962478145, 0.15945482945867948, -0.18174771751676286, -0.18470093927213124, -0.10002464588199343, -0.11525496946913856, -0.13591484485992364, -0.06548846193722316, -0.09889233950525522, 0.23738816007971764, -0.2032596468925476, 0.043922671249934604, 0.051160325961453576, 0.1113721611244338, 0.00953603143404637, -0.2695608575429235, 0.08079270805631365, -0.08813654684594699, 0.10602421632834844, -0.0068364863150886124, 0.4137028626033238, -0.11456661791141544, -0.15990354972226278, 0.4929081542151315, 0.09800914215988346, -0.13646485922592028, 0.16434116661548615, -0.12616416652287757, -0.0321123109731291, 0.25199230866772787, 0.1880394071340561, 0.12242326739111117, -0.17839823450360978, -0.04271902143955231, 0.1035729558872325, 0.02303906942584685, 0.051100526337644885, 0.03643697782951806, 0.1973866479737418, 0.2991351442677634, -0.00539245775767735, 0.05483909643122128, -0.1768446894628661, -0.15651907878262655, -0.3059485852718353, -0.10849471869213241, -0.14180733290101802, -0.10834654686706406, 0.07576335806931768, -0.0592372002346175, 0.3197555850659098, 0.10963717475533485, -0.001197696796485356, -0.11635721953851837, 0.3716009969690016, 0.12788239533879928, -0.03567177855542728, -0.014754332602024078, 0.3035268940563713, 0.22369448760790483, 0.12375673225947789, -0.3371230757662228, -0.10062926229355591, 0.08727697243115731] |
709.3397 | Aharonov-Bohm effect for a valley-polarized current in graphene | This is a numerical study of the conductance of an Aharonov-Bohm
interferometer in a tight-binding model of graphene. Two single-mode ballistic
point contacts with zigzag edges are connected by two arms of a hexagonal ring
enclosing a magnetic flux $\Phi$. The point contacts function as valley
filters, transmitting electrons from one valley of the band structure and
reflecting electrons from the other valley. We find, in the wider rings, that
the magnetoconductance oscillations with the fundamental periodicity
$\Delta\Phi=h/e$ are suppressed when the two valley filters have opposite
polarity, while the second and higher harmonics are unaffected or enhanced.
This frequency doubling is interpreted in terms of a larger probability of
intervalley scattering for electrons that travel several times around the ring.
In the narrowest rings the current is blocked for any polarity of the valley
filters, with small, nearly sinusoidal magnetoconductance oscillations.
Qualitatively similar results are obtained if the hexagonal ring is replaced by
a ring with an irregular boundary.
| cond-mat.mes-hall | this is a numerical study of the conductance of an aharonovbohm interferometer in a tightbinding model of graphene two singlemode ballistic point contacts with zigzag edges are connected by two arms of a hexagonal ring enclosing a magnetic flux phi the point contacts function as valley filters transmitting electrons from one valley of the band structure and reflecting electrons from the other valley we find in the wider rings that the magnetoconductance oscillations with the fundamental periodicity deltaphihe are suppressed when the two valley filters have opposite polarity while the second and higher harmonics are unaffected or enhanced this frequency doubling is interpreted in terms of a larger probability of intervalley scattering for electrons that travel several times around the ring in the narrowest rings the current is blocked for any polarity of the valley filters with small nearly sinusoidal magnetoconductance oscillations qualitatively similar results are obtained if the hexagonal ring is replaced by a ring with an irregular boundary | [['this', 'is', 'a', 'numerical', 'study', 'of', 'the', 'conductance', 'of', 'an', 'aharonovbohm', 'interferometer', 'in', 'a', 'tightbinding', 'model', 'of', 'graphene', 'two', 'singlemode', 'ballistic', 'point', 'contacts', 'with', 'zigzag', 'edges', 'are', 'connected', 'by', 'two', 'arms', 'of', 'a', 'hexagonal', 'ring', 'enclosing', 'a', 'magnetic', 'flux', 'phi', 'the', 'point', 'contacts', 'function', 'as', 'valley', 'filters', 'transmitting', 'electrons', 'from', 'one', 'valley', 'of', 'the', 'band', 'structure', 'and', 'reflecting', 'electrons', 'from', 'the', 'other', 'valley', 'we', 'find', 'in', 'the', 'wider', 'rings', 'that', 'the', 'magnetoconductance', 'oscillations', 'with', 'the', 'fundamental', 'periodicity', 'deltaphihe', 'are', 'suppressed', 'when', 'the', 'two', 'valley', 'filters', 'have', 'opposite', 'polarity', 'while', 'the', 'second', 'and', 'higher', 'harmonics', 'are', 'unaffected', 'or', 'enhanced', 'this', 'frequency', 'doubling', 'is', 'interpreted', 'in', 'terms', 'of', 'a', 'larger', 'probability', 'of', 'intervalley', 'scattering', 'for', 'electrons', 'that', 'travel', 'several', 'times', 'around', 'the', 'ring', 'in', 'the', 'narrowest', 'rings', 'the', 'current', 'is', 'blocked', 'for', 'any', 'polarity', 'of', 'the', 'valley', 'filters', 'with', 'small', 'nearly', 'sinusoidal', 'magnetoconductance', 'oscillations', 'qualitatively', 'similar', 'results', 'are', 'obtained', 'if', 'the', 'hexagonal', 'ring', 'is', 'replaced', 'by', 'a', 'ring', 'with', 'an', 'irregular', 'boundary']] | [-0.2332879743603228, 0.1746941751922384, -0.03277903245308044, 0.025823936248549593, -0.004592914176363873, -0.1761524688171328, 0.02537834944654514, 0.4128247581879204, -0.2833533552387413, -0.2551783357553606, 0.026638117478281823, -0.3011062095094027, -0.14055218869591798, 0.19620608894810457, -0.0016969962795294305, -0.060671424756775484, 0.02241989976064589, -0.017412752654028574, -0.054643444327414976, -0.19110897484633768, 0.27227372297161967, 0.019112255731773265, 0.2558455639943457, 0.01589151584607719, 0.01288842222413177, 0.007735598688863171, 0.03621926825821587, 0.04509017077046183, -0.07737439237569778, 0.044322408592246426, 0.19338312964599416, -0.10267823433749518, 0.2146838522946708, -0.47408451962302317, -0.15058576829918902, 0.047362176786358436, 0.1574439338478699, 0.12064836601105829, -0.042871081440141366, -0.2878281602653552, 0.06977060264995638, -0.10211900586669662, -0.14039045770406583, 0.047975885005281216, 0.04080630196609868, 0.033921881424740494, -0.2438765825200738, 0.09131634574816944, 0.049112361270067455, 0.07349418094487854, -0.037384727914120605, -0.12132355532720217, -0.1062473078498488, 0.08021051017805471, 0.025585311508163483, 0.027789162265417992, 0.17259556494079203, -0.1080111139600382, -0.1536423726938665, 0.3471454027923023, -0.07983807719505902, -0.13897483420716422, 0.13191181137197236, -0.25092733649056664, -0.011906175622306529, 0.20805227312511243, 0.07166398669821473, 0.0951383371014476, -0.10657188642424834, 0.05060226945924051, -0.0899667322683974, 0.11517665895916018, 0.11893900891519943, 0.08518785673176062, 0.3048535457331945, 0.16150473140080535, 0.12069067367134358, 0.12909968324048068, -0.1556225552372986, -0.04337060521796064, -0.26152534849660575, -0.12566415217753393, -0.2268810721477435, 0.06657385374507252, -0.09083834239234123, -0.187378965130767, 0.47125745444549777, 0.09313179872367743, 0.21858041131365225, -0.015257282639449497, 0.3001856511259604, 0.1403309481076416, 0.11887569879489195, 0.05786642837250289, 0.23345756723469346, 0.1532015412644653, 0.07402148159109524, -0.23643607315303516, 0.0034488729353548972, -0.01453603418842661] |
709.3398 | Spatial image of reaction area from scattering.II: On connection between
the differential cross-sections in transverse momentum and in nearest
approach parameter | We develop general formalism of how to relate cross-section for exclusive
processes to spatial image of reaction area. More precisely we show how to
determine the spatial distribution of outgoing particles in the space of
so-called nearest approach parameter. This parameter characterizes the position
in the coordinate space the place where the final particle is produced.
| hep-ph | we develop general formalism of how to relate crosssection for exclusive processes to spatial image of reaction area more precisely we show how to determine the spatial distribution of outgoing particles in the space of socalled nearest approach parameter this parameter characterizes the position in the coordinate space the place where the final particle is produced | [['we', 'develop', 'general', 'formalism', 'of', 'how', 'to', 'relate', 'crosssection', 'for', 'exclusive', 'processes', 'to', 'spatial', 'image', 'of', 'reaction', 'area', 'more', 'precisely', 'we', 'show', 'how', 'to', 'determine', 'the', 'spatial', 'distribution', 'of', 'outgoing', 'particles', 'in', 'the', 'space', 'of', 'socalled', 'nearest', 'approach', 'parameter', 'this', 'parameter', 'characterizes', 'the', 'position', 'in', 'the', 'coordinate', 'space', 'the', 'place', 'where', 'the', 'final', 'particle', 'is', 'produced']] | [-0.06688596523391814, 0.14155954174098692, -0.1174060157713289, 0.09945519064785913, -0.06450249499591466, -0.07391337056677523, 0.024699102604894767, 0.353588622296229, -0.2777993320986362, -0.26787111864957425, -0.00922122476705616, -0.22818166599608958, -0.09819096982079957, 0.12595186895798957, -0.02569644878219281, 0.012458823432098143, 0.025141617632471025, 0.07435699484943013, -0.0443182666786015, -0.20368512472071285, 0.3846827898357463, 0.073229782083737, 0.26018434699757825, 0.037484453625178764, 0.11569262657680415, 0.1089883304999343, -0.06875462736934423, -0.010311440715408285, -0.18044090279311473, 0.13062811125668564, 0.22999334421807102, 0.14602523017258914, 0.18875391936827718, -0.4128346620460174, -0.17548649372266872, 0.15334110680435384, 0.1803663704610829, 0.08913429202844522, 0.028073181808524948, -0.25314468797296286, 0.04696501907892525, -0.13800187691647028, -0.1854743890663875, -0.05395872068766039, 0.057241539853358905, -0.004138636602354901, -0.27801371262674884, 0.05998864572029561, 0.039833509908930864, -0.04249240912031382, -0.052255379127538096, -0.044567159732520976, -0.02495754389591249, 0.13848855787156417, 0.042426324295645045, 0.024006131664853974, 0.17779287847224623, -0.10105447856559684, -0.07865803382758584, 0.3764905964157411, -0.019125879779624353, -0.277552009892783, 0.12499966386738899, -0.24961750357345278, -0.1430336498555594, 0.11723611354162651, 0.24951930749895318, 0.14570635875030089, -0.16996349133218505, 0.09474253097349512, 3.1972254094268594e-05, 0.1426378972495773, 0.06802185967431537, 0.03220991059476676, 0.13725666496403782, 0.17389308890726948, 0.07440280264459684, 0.15988571199289123, -0.1677587795836319, -0.16805542233799184, -0.30950405009623083, -0.1982274913291024, -0.16038212251649903, -0.005173152805322648, -0.10666886011105296, -0.11899964478132981, 0.37846474438473315, 0.19320051481814257, 0.2816118210154985, 0.009724329009519092, 0.2822045016967292, 0.10288864307637725, 0.025121136938521107, 0.019897615977762535, 0.2606832920573652, 0.10127258600134935, 0.08296969519662005, -0.20390305020347504, 0.058674682064780166, 0.07644435726771397] |
709.3399 | Two-dimensional discrete solitons in rotating lattices | We introduce a two-dimensional (2D) discrete nonlinear Schr\"{o}dinger (DNLS)
equation with self-attractive cubic nonlinearity in a rotating reference frame.
The model applies to a Bose-Einstein condensate stirred by a rotating strong
optical lattice, or light propagation in a twisted bundle of nonlinear fibers.
Two species of localized states are constructed: off-axis fundamental solitons
(FSs), placed at distance $R$ from the rotation pivot, and on-axis (R=0) vortex
solitons (VSs), with vorticities $% S=1$ and 2. At a fixed value of rotation
frequency $\Omega $, a stability interval for the FSs is found in terms of the
lattice coupling constant $C$, $% 0<C<C_{\mathrm{cr}}(R)$, with monotonically
decreasing $C_{\mathrm{cr}}(R)$. VSs with S=1 have a stability interval,
$\tilde{C}_{\mathrm{cr}%}^{(S=1)}(\Omega)<C<C_{\mathrm{cr}}^{(S=1)}(\Omega)$,
which exists for $% \Omega $ below a certain critical value,
$\Omega_{\mathrm{cr}}^{(S=1)}$. This implies that the VSs with S=1 are
\emph{destabilized} in the weak-coupling limit by the rotation. On the
contrary, VSs with S=2, that are known to be unstable in the standard DNLS
equation, with $\Omega =0$, are \emph{stabilized} by the rotation in region
$0<C<C_{\mathrm{cr}}^{(S=2)}$%, with $C_{\mathrm{cr}}^{(S=2)}$ growing as a
function of $\Omega $. Quadrupole and octupole on-axis solitons are considered
too, their stability regions being weakly affected by $\Omega \neq 0$.
| nlin.PS | we introduce a twodimensional 2d discrete nonlinear schrodinger dnls equation with selfattractive cubic nonlinearity in a rotating reference frame the model applies to a boseeinstein condensate stirred by a rotating strong optical lattice or light propagation in a twisted bundle of nonlinear fibers two species of localized states are constructed offaxis fundamental solitons fss placed at distance r from the rotation pivot and onaxis r0 vortex solitons vss with vorticities s1 and 2 at a fixed value of rotation frequency omega a stability interval for the fss is found in terms of the lattice coupling constant c 0cc_mathrmcrr with monotonically decreasing c_mathrmcrr vss with s1 have a stability interval tildec_mathrmcrs1omegacc_mathrmcrs1omega which exists for omega below a certain critical value omega_mathrmcrs1 this implies that the vss with s1 are emphdestabilized in the weakcoupling limit by the rotation on the contrary vss with s2 that are known to be unstable in the standard dnls equation with omega 0 are emphstabilized by the rotation in region 0cc_mathrmcrs2 with c_mathrmcrs2 growing as a function of omega quadrupole and octupole onaxis solitons are considered too their stability regions being weakly affected by omega neq 0 | [['we', 'introduce', 'a', 'twodimensional', '2d', 'discrete', 'nonlinear', 'schrodinger', 'dnls', 'equation', 'with', 'selfattractive', 'cubic', 'nonlinearity', 'in', 'a', 'rotating', 'reference', 'frame', 'the', 'model', 'applies', 'to', 'a', 'boseeinstein', 'condensate', 'stirred', 'by', 'a', 'rotating', 'strong', 'optical', 'lattice', 'or', 'light', 'propagation', 'in', 'a', 'twisted', 'bundle', 'of', 'nonlinear', 'fibers', 'two', 'species', 'of', 'localized', 'states', 'are', 'constructed', 'offaxis', 'fundamental', 'solitons', 'fss', 'placed', 'at', 'distance', 'r', 'from', 'the', 'rotation', 'pivot', 'and', 'onaxis', 'r0', 'vortex', 'solitons', 'vss', 'with', 'vorticities', 's1', 'and', '2', 'at', 'a', 'fixed', 'value', 'of', 'rotation', 'frequency', 'omega', 'a', 'stability', 'interval', 'for', 'the', 'fss', 'is', 'found', 'in', 'terms', 'of', 'the', 'lattice', 'coupling', 'constant', 'c', '0cc_mathrmcrr', 'with', 'monotonically', 'decreasing', 'c_mathrmcrr', 'vss', 'with', 's1', 'have', 'a', 'stability', 'interval', 'tildec_mathrmcrs1omegacc_mathrmcrs1omega', 'which', 'exists', 'for', 'omega', 'below', 'a', 'certain', 'critical', 'value', 'omega_mathrmcrs1', 'this', 'implies', 'that', 'the', 'vss', 'with', 's1', 'are', 'emphdestabilized', 'in', 'the', 'weakcoupling', 'limit', 'by', 'the', 'rotation', 'on', 'the', 'contrary', 'vss', 'with', 's2', 'that', 'are', 'known', 'to', 'be', 'unstable', 'in', 'the', 'standard', 'dnls', 'equation', 'with', 'omega', '0', 'are', 'emphstabilized', 'by', 'the', 'rotation', 'in', 'region', '0cc_mathrmcrs2', 'with', 'c_mathrmcrs2', 'growing', 'as', 'a', 'function', 'of', 'omega', 'quadrupole', 'and', 'octupole', 'onaxis', 'solitons', 'are', 'considered', 'too', 'their', 'stability', 'regions', 'being', 'weakly', 'affected', 'by', 'omega', 'neq', '0']] | [-0.20705623373870258, 0.18339249759830617, -0.03559517169180633, 0.010493404180793971, -0.045250270034667556, -0.2002488419229349, 0.007167025008699396, 0.39820980010052076, -0.22435237359828675, -0.20796221678892335, 0.11320526954068055, -0.2818541818574726, -0.04123390133999247, 0.16149483441316348, 0.0015350550470379907, 0.03829449259133621, 0.006118097484551862, 0.04990610090892885, -0.08393217548779161, -0.17685815611416678, 0.321513340803334, -0.03211080444372863, 0.24720501137774561, -0.019890688536279313, 0.07293672669566349, -0.047426215657041824, 0.08131483035989791, 0.0039676993952265805, -0.18583238077041972, 0.05808234013774391, 0.19614902368726228, -0.00945594088573541, 0.2508548845659819, -0.34700868369315513, -0.2220320199145475, 0.08132577920396515, 0.19166990633731565, 0.08988946294578325, -0.03935402678405728, -0.3089944882379783, 0.05030121047633117, 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709.34 | First order formalism for spin one fields | We study two general approaches how to describe spin one particles, using
vector and antisymmetric tensor fields within RChT. In this paper we focus on
the question of an equivalence of both ways. The appearing problems lead us to
the introduction of a new type of the description - the first order formalism
which naturally connects both traditional formalisms. Moreover, it gives a more
general result on the level of the effective chiral Lagrangian that contain all
terms from effective chiral Lagrangians in vector and antisymmetric tensor
formulations.
| hep-ph | we study two general approaches how to describe spin one particles using vector and antisymmetric tensor fields within rcht in this paper we focus on the question of an equivalence of both ways the appearing problems lead us to the introduction of a new type of the description the first order formalism which naturally connects both traditional formalisms moreover it gives a more general result on the level of the effective chiral lagrangian that contain all terms from effective chiral lagrangians in vector and antisymmetric tensor formulations | [['we', 'study', 'two', 'general', 'approaches', 'how', 'to', 'describe', 'spin', 'one', 'particles', 'using', 'vector', 'and', 'antisymmetric', 'tensor', 'fields', 'within', 'rcht', 'in', 'this', 'paper', 'we', 'focus', 'on', 'the', 'question', 'of', 'an', 'equivalence', 'of', 'both', 'ways', 'the', 'appearing', 'problems', 'lead', 'us', 'to', 'the', 'introduction', 'of', 'a', 'new', 'type', 'of', 'the', 'description', 'the', 'first', 'order', 'formalism', 'which', 'naturally', 'connects', 'both', 'traditional', 'formalisms', 'moreover', 'it', 'gives', 'a', 'more', 'general', 'result', 'on', 'the', 'level', 'of', 'the', 'effective', 'chiral', 'lagrangian', 'that', 'contain', 'all', 'terms', 'from', 'effective', 'chiral', 'lagrangians', 'in', 'vector', 'and', 'antisymmetric', 'tensor', 'formulations']] | [-0.10749614146008188, 0.14161101440332385, -0.0818613837205473, 0.06967077801812269, -0.10554824591261046, -0.0957955907837584, -0.035576437668200456, 0.3007112497961598, -0.2267909843806477, -0.2722037227345288, 0.02973827369907207, -0.2397986040504157, -0.22577744148585988, 0.13641572013582992, -0.012069655997121984, -0.02965231363972028, 0.009581581159526932, 0.08086456345586941, -0.11111025695003912, -0.2315303865102944, 0.38549649539328684, -0.037702656677528014, 0.2822994154332013, 0.07737322081544104, 0.11931327348387662, 0.04837977706893593, -0.023485408892491084, 0.03573664262805177, -0.12136336484291368, 0.19634489351201095, 0.2392683026043634, 0.09626137087357113, 0.19187718801783804, -0.4538467463919486, -0.17500570052217734, 0.08022717298169074, 0.10716584361233246, 0.16664335409302436, 0.016328450173759116, -0.2489972515888084, 0.06063799702444638, -0.2051435612227725, -0.14267101410198316, -0.133513322720925, -0.033654305950106905, -0.06647178859599791, -0.23851501934722752, 0.057837197773196014, 0.11534768180927026, 0.01463446647314162, -0.08376269094310113, -0.11417519861307723, 0.04128259428958783, 0.09605544752002447, 0.09231920878606281, 0.033116886195868535, 0.06337398557720342, -0.15506239974839164, -0.13485633199713354, 0.4191046414961075, -0.10164141145015627, -0.26143911823459054, 0.1945944736262077, -0.05680432076426758, -0.1566655662194451, 0.0626498852353329, 0.1942116135474423, 0.1621223405356808, -0.15314809804589585, 0.12776448884738031, -0.03973624094164577, 0.09376795338092093, 0.06651726540649074, 0.042036760013668274, 0.20274804885252967, 0.08917000388255579, 0.06738830219697335, 0.11960421807678609, -0.004625344836292253, -0.152527107610956, -0.3552297766951994, -0.14589915145694543, -0.10447305141032898, 0.035499458096857214, -0.08223400259057284, -0.15910663541898817, 0.46619380184117404, 0.18794597798808552, 0.192584544903299, 0.03208962168635522, 0.27913871361477965, 0.12076684815177544, 0.0745969017447058, 0.03275381235791178, 0.2405242721507347, 0.20531321924458118, 0.07460703186947724, -0.1808128378316546, -0.046791126365484347, 0.11435089224746087] |
709.3401 | Large Deviations in the Superstable Weakly Imperfect Bose Gas | The superstable Weakly Imperfect Bose Gas {(WIBG)} was originally derived to
solve the inconsistency of the Bogoliubov theory of superfluidity. Its
grand-canonical thermodynamics was recently solved but not at {point of} the
{(first order)} phase transition. This paper proposes to close this gap by
using the large deviations formalism and in particular the analysis of the Kac
distribution function. It turns out that, as a function of the chemical
potential, the discontinuity of the Bose condensate density at the phase
transition {point} disappears as a function of the particle density. Indeed,
the Bose condensate continuously starts at the first critical particle density
and progressively grows but the free-energy per particle stays constant until
the second critical density is reached. At higher particle densities, the Bose
condensate density as well as the free-energy per particle both increase
{monotonously}.
| math-ph math.MP | the superstable weakly imperfect bose gas wibg was originally derived to solve the inconsistency of the bogoliubov theory of superfluidity its grandcanonical thermodynamics was recently solved but not at point of the first order phase transition this paper proposes to close this gap by using the large deviations formalism and in particular the analysis of the kac distribution function it turns out that as a function of the chemical potential the discontinuity of the bose condensate density at the phase transition point disappears as a function of the particle density indeed the bose condensate continuously starts at the first critical particle density and progressively grows but the freeenergy per particle stays constant until the second critical density is reached at higher particle densities the bose condensate density as well as the freeenergy per particle both increase monotonously | [['the', 'superstable', 'weakly', 'imperfect', 'bose', 'gas', 'wibg', 'was', 'originally', 'derived', 'to', 'solve', 'the', 'inconsistency', 'of', 'the', 'bogoliubov', 'theory', 'of', 'superfluidity', 'its', 'grandcanonical', 'thermodynamics', 'was', 'recently', 'solved', 'but', 'not', 'at', 'point', 'of', 'the', 'first', 'order', 'phase', 'transition', 'this', 'paper', 'proposes', 'to', 'close', 'this', 'gap', 'by', 'using', 'the', 'large', 'deviations', 'formalism', 'and', 'in', 'particular', 'the', 'analysis', 'of', 'the', 'kac', 'distribution', 'function', 'it', 'turns', 'out', 'that', 'as', 'a', 'function', 'of', 'the', 'chemical', 'potential', 'the', 'discontinuity', 'of', 'the', 'bose', 'condensate', 'density', 'at', 'the', 'phase', 'transition', 'point', 'disappears', 'as', 'a', 'function', 'of', 'the', 'particle', 'density', 'indeed', 'the', 'bose', 'condensate', 'continuously', 'starts', 'at', 'the', 'first', 'critical', 'particle', 'density', 'and', 'progressively', 'grows', 'but', 'the', 'freeenergy', 'per', 'particle', 'stays', 'constant', 'until', 'the', 'second', 'critical', 'density', 'is', 'reached', 'at', 'higher', 'particle', 'densities', 'the', 'bose', 'condensate', 'density', 'as', 'well', 'as', 'the', 'freeenergy', 'per', 'particle', 'both', 'increase', 'monotonously']] | [-0.09165021876491236, 0.2258359865663806, -0.11655788926017362, 0.05096232509223388, 0.03110304075936951, -0.1235589446287657, 0.08246792443712954, 0.27474247845684124, -0.23629590199904188, -0.29351837782408385, 0.027350307996076642, -0.3142968658734496, -0.08545741174620002, 0.04574211650983403, 0.04171621729619801, 0.08480870393267491, -0.04106415134875158, 0.08168972888961434, -0.13143371802460238, -0.25276942640844297, 0.33517364713514003, 0.1102226548759705, 0.29517751659081753, 0.11242403556003838, 0.10702149696675513, 0.006748497017029235, 0.06237522656139096, 0.023272972875822556, -0.16651640464544257, -0.014936196224452407, 0.21648770996184527, 0.01871232984258848, 0.28896311224054766, -0.3825143277508152, -0.22740159071776467, 0.10416368724819382, 0.18450963334522813, 0.1458090445786879, -0.03808381915137836, -0.26013758077340965, -0.002767737348810496, -0.19169928584768273, -0.22387811921619097, -0.0464189847903874, 0.030453314947354718, 0.032941563164486605, -0.20867261328214012, 0.16306253205402754, 0.04000432475089945, 0.025663897689596257, -0.05273628766008187, -0.09775672503747046, -0.04580849666073097, 0.07164046573384172, 0.028563734498354334, 0.11090182815678418, 0.19425747279926917, -0.16554396055460743, 0.009273064966477892, 0.38417922009659167, -0.10453053682388547, -0.10624290552154622, 0.17900439727750114, -0.19577667101197327, -0.08727492479032234, 0.19933254341594875, 0.08369352165712318, 0.0925807544742437, -0.12524418767048595, 0.09062223650278825, -0.016224292580291684, 0.16153453216718525, 0.0812257013269974, -0.036888243829119295, 0.28028847373891896, 0.15814169089357807, 0.07569488283137188, 0.1658257893868722, -0.09043930456134737, -0.179262783662553, -0.3095312142669333, -0.1701656381207399, -0.2847535734010093, -0.010807653985680458, -0.06137815893431681, -0.18487600383677466, 0.34356978042599035, 0.1280362651570399, 0.20394542446250424, 0.057734849828514546, 0.2719380218357615, 0.2211887750959517, 0.03011300874683965, 0.04141324427430792, 0.2422467179473161, 0.15241084956249004, 0.1558105101576075, -0.25153467480135183, 0.016625791555270553, 0.07993902029257323] |
709.3402 | Amplified signal response in scale-free networks by collaborative
signaling | Many natural and artificial two-states signaling devices are connected
forming networks. The information-processing potential of these systems is
usually related to the response to weak external signals. Here, using a network
of overdamped bistable elements, we study the effect of a heterogeneous complex
topology on the signal response. The analysis of the problem in random
scale-free networks, reveals that heterogeneity plays a crucial role in
amplifying external signals. We have contrasted numerical simulations with
analytical calculations in simplified topologies.
| physics.comp-ph | many natural and artificial twostates signaling devices are connected forming networks the informationprocessing potential of these systems is usually related to the response to weak external signals here using a network of overdamped bistable elements we study the effect of a heterogeneous complex topology on the signal response the analysis of the problem in random scalefree networks reveals that heterogeneity plays a crucial role in amplifying external signals we have contrasted numerical simulations with analytical calculations in simplified topologies | [['many', 'natural', 'and', 'artificial', 'twostates', 'signaling', 'devices', 'are', 'connected', 'forming', 'networks', 'the', 'informationprocessing', 'potential', 'of', 'these', 'systems', 'is', 'usually', 'related', 'to', 'the', 'response', 'to', 'weak', 'external', 'signals', 'here', 'using', 'a', 'network', 'of', 'overdamped', 'bistable', 'elements', 'we', 'study', 'the', 'effect', 'of', 'a', 'heterogeneous', 'complex', 'topology', 'on', 'the', 'signal', 'response', 'the', 'analysis', 'of', 'the', 'problem', 'in', 'random', 'scalefree', 'networks', 'reveals', 'that', 'heterogeneity', 'plays', 'a', 'crucial', 'role', 'in', 'amplifying', 'external', 'signals', 'we', 'have', 'contrasted', 'numerical', 'simulations', 'with', 'analytical', 'calculations', 'in', 'simplified', 'topologies']] | [-0.23364579524326173, 0.11089519057363932, -0.03872076349474395, 0.05814516797950609, -0.053266372813849085, -0.13398424629416741, 0.03567703839544725, 0.39886572940534426, -0.26356601946739644, -0.2680140136021979, 0.05913251815098515, -0.2853858649636371, -0.3119175302312721, 0.18187212494579202, -0.007705972724464498, 0.0410496406316097, 0.04858001474072992, 0.026198302401536252, 0.03507130050477631, -0.16368934612933406, 0.3143146745035354, 0.07180333442844544, 0.31266575652657996, 0.01673838017579121, 0.04503900123335704, -0.003317481236933153, -0.021109242419582567, 0.054273668203585416, -0.06513917035929036, 0.0998133502154953, 0.25356133488195515, 0.042718294450918896, 0.28572533344496276, -0.5249797755828763, -0.3049035682637669, 0.15673902603691514, 0.13373003543437093, 0.11921850508196821, -0.08082905789701669, -0.27592861988357725, 0.08406888997724539, -0.12872276733381838, -0.11283918600687845, -0.08034306788180448, 0.009371011282164084, 0.08635183755688582, -0.2807949884283309, 0.06893402791900348, 0.04591810840028751, 0.07375491622021596, -0.06657241619891292, -0.05593008348789019, -0.0036550736278767072, 0.1529385803099368, -0.01142891159552279, -0.023054546930037344, 0.18342321735064063, -0.16163270959418408, -0.1335568556626905, 0.3538922697977646, -0.03755420816272403, -0.24055743936590757, 0.22938464058244812, -0.0864614957908192, -0.15046642276847474, 0.1099978767282365, 0.24514037490928475, 0.06687640167089014, -0.15219380127714027, 0.038394264770005654, -0.008870019306299052, 0.14322326665661664, 0.0018324019811764547, 0.07008624323525856, 0.18914116080850363, 0.2558390169251191, 0.008377349395393335, 0.1607369568959303, -0.05366833762360053, -0.15315235119690246, -0.2222127993104838, -0.07627214256768362, -0.17564294658176885, 0.07153809503681628, -0.12866695378475992, -0.16773467103042936, 0.3936794373925917, 0.1600665383488883, 0.1441439295576626, 0.005811462181773555, 0.3056599843917014, 0.09615780368352993, 0.05900514872724049, 0.004508602733523408, 0.22491241917342, 0.17777552321270296, 0.1272734432316185, -0.22772386190009927, 0.12133058151701771, -0.028554232127940917] |
709.3403 | Enhanced Optical Cooling of Particle Beams in Storage Rings | A method of enhanced optical cooling (EOC) based on nonlinear selective
interaction between particles and theirs amplified undulator radiation wavelets
(URW) in storage rings is discussed. It leads to non-exponential fast damping.
The selectivity is arranged by a moving screen located on the image plane of
the optical system projecting URW there.
| physics.acc-ph physics.class-ph | a method of enhanced optical cooling eoc based on nonlinear selective interaction between particles and theirs amplified undulator radiation wavelets urw in storage rings is discussed it leads to nonexponential fast damping the selectivity is arranged by a moving screen located on the image plane of the optical system projecting urw there | [['a', 'method', 'of', 'enhanced', 'optical', 'cooling', 'eoc', 'based', 'on', 'nonlinear', 'selective', 'interaction', 'between', 'particles', 'and', 'theirs', 'amplified', 'undulator', 'radiation', 'wavelets', 'urw', 'in', 'storage', 'rings', 'is', 'discussed', 'it', 'leads', 'to', 'nonexponential', 'fast', 'damping', 'the', 'selectivity', 'is', 'arranged', 'by', 'a', 'moving', 'screen', 'located', 'on', 'the', 'image', 'plane', 'of', 'the', 'optical', 'system', 'projecting', 'urw', 'there']] | [-0.18122390940785407, 0.17773574804421513, -0.07470611493568867, 0.023364873575046657, -0.04150039158761501, -0.21645532744005322, -0.003315551919513382, 0.45702363952994346, -0.27264856463298204, -0.22100857203826307, 0.05599952360498719, -0.2671518311463296, -0.09832557454705239, 0.2401543678715825, -0.02099109918810427, 0.00246685191988945, 0.03893516087206081, -0.027384052933193744, -0.016630446212366222, -0.18833937823772431, 0.23838307238183915, 0.12098945126868785, 0.3371624406054616, 0.0001475993823260069, 0.1177789349295199, 0.0543787228455767, -0.029966916935518385, -0.03690866507589817, -0.04353903370443732, 0.12797938279807566, 0.20468870699522085, 0.03460028996400069, 0.222716667028144, -0.4626946382969618, -0.18054838268086315, 0.06295096368528902, 0.1630525261349976, 0.09446029622107745, -0.11954888722393661, -0.2842017688602209, -0.01502306666225195, -0.13476016746833921, -0.12516771812923252, -0.005633719787001609, 0.049888784848153594, 0.06839583081193268, -0.2529440266918391, 0.056571571957319974, 0.09499366451054811, 0.05496205355972052, -0.059017035821452735, -0.009100851702969521, -0.0016348491050302983, 0.0339905770868063, 0.003286385154351592, 0.03956643502227962, 0.2311323470249772, -0.08416494291275739, -0.04310031984001398, 0.38044759884476664, -0.04324519533198327, -0.18401993952691556, 0.17998683128971607, -0.1326771138329059, 0.036860667476430534, 0.2508176798373461, 0.181423902194947, 0.11661195315420628, -0.09546321170404554, 0.004855781717924401, -0.019277718802914023, 0.19294125571846962, 0.14224986739456655, 0.06934014862868935, 0.236490917801857, 0.21700950155034662, 0.034226915165781975, 0.21122030771453865, -0.12768303795950486, -0.04609794460237026, -0.23883862698450684, -0.06755864961072802, -0.20697540705325082, 0.012010397417470812, -0.0818644268575008, -0.1589019097480923, 0.38007100876420735, 0.13281325917690992, 0.13817304465919733, -0.07660928849130869, 0.3411621680855751, 0.11302680276334286, 0.11075606601312757, 0.02808414767088834, 0.27664585161954164, 0.1499242896970827, 0.10136691142106428, -0.2746272046305239, 0.012701890990138054, 0.0681328809959814] |
709.3404 | Optimization of the Asymptotic Property of Mutual Learning Involving an
Integration Mechanism of Ensemble Learning | We propose an optimization method of mutual learning which converges into the
identical state of optimum ensemble learning within the framework of on-line
learning, and have analyzed its asymptotic property through the statistical
mechanics method.The proposed model consists of two learning steps: two
students independently learn from a teacher, and then the students learn from
each other through the mutual learning. In mutual learning, students learn from
each other and the generalization error is improved even if the teacher has not
taken part in the mutual learning. However, in the case of different initial
overlaps(direction cosine) between teacher and students, a student with a
larger initial overlap tends to have a larger generalization error than that of
before the mutual learning. To overcome this problem, our proposed optimization
method of mutual learning optimizes the step sizes of two students to minimize
the asymptotic property of the generalization error. Consequently, the
optimized mutual learning converges to a generalization error identical to that
of the optimal ensemble learning. In addition, we show the relationship between
the optimum step size of the mutual learning and the integration mechanism of
the ensemble learning.
| cond-mat.dis-nn cond-mat.stat-mech | we propose an optimization method of mutual learning which converges into the identical state of optimum ensemble learning within the framework of online learning and have analyzed its asymptotic property through the statistical mechanics methodthe proposed model consists of two learning steps two students independently learn from a teacher and then the students learn from each other through the mutual learning in mutual learning students learn from each other and the generalization error is improved even if the teacher has not taken part in the mutual learning however in the case of different initial overlapsdirection cosine between teacher and students a student with a larger initial overlap tends to have a larger generalization error than that of before the mutual learning to overcome this problem our proposed optimization method of mutual learning optimizes the step sizes of two students to minimize the asymptotic property of the generalization error consequently the optimized mutual learning converges to a generalization error identical to that of the optimal ensemble learning in addition we show the relationship between the optimum step size of the mutual learning and the integration mechanism of the ensemble learning | [['we', 'propose', 'an', 'optimization', 'method', 'of', 'mutual', 'learning', 'which', 'converges', 'into', 'the', 'identical', 'state', 'of', 'optimum', 'ensemble', 'learning', 'within', 'the', 'framework', 'of', 'online', 'learning', 'and', 'have', 'analyzed', 'its', 'asymptotic', 'property', 'through', 'the', 'statistical', 'mechanics', 'methodthe', 'proposed', 'model', 'consists', 'of', 'two', 'learning', 'steps', 'two', 'students', 'independently', 'learn', 'from', 'a', 'teacher', 'and', 'then', 'the', 'students', 'learn', 'from', 'each', 'other', 'through', 'the', 'mutual', 'learning', 'in', 'mutual', 'learning', 'students', 'learn', 'from', 'each', 'other', 'and', 'the', 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'step', 'size', 'of', 'the', 'mutual', 'learning', 'and', 'the', 'integration', 'mechanism', 'of', 'the', 'ensemble', 'learning']] | [0.002468261981700012, 0.05419877595015853, -0.1371848926076943, 0.06862609125574694, -0.08608052249443024, -0.18648723698657085, 0.06488069551352887, 0.4005726454482275, -0.2990215685555434, -0.33333598631632294, 0.014640213182305005, -0.26074943219143104, -0.1792666011501074, 0.14768005274062818, -0.12300605194499478, 0.07682441738948097, 0.10819526068727545, 0.10609105012399402, -0.09966764956226008, -0.3108637958630038, 0.30293655751813003, 0.07162390957447759, 0.3290532432097763, -0.03282447915494521, 0.18056548482042112, 0.03145402226537625, 0.022983156414603457, -0.005315643377934008, -0.0893347391359752, 0.1809754477698663, 0.3036848211913627, 0.19558636543459873, 0.4472296165421288, -0.3593863909568717, -0.1494421074414586, 0.13075733778532594, 0.14025893371472967, 0.10140027782689047, -0.005133313634631006, -0.30750009300375475, 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709.3405 | Identifying pulsation modes from two-passband photometry | I discuss a prospect for mode identification from two-passband photometry of
forthcoming BRITE space mission. Examples of photometric diagnostic diagrams
are shown for three types of main sequence pulsating variables: $\beta$ Cephei,
Slowly Pulsating B-type and $\delta$ Scuti stars. I consider also taking into
account the radial velocity data from simultaneous spectroscopy, which can be
carried out from the ground. With such observations, much better discrimination
of the spherical harmonic degree, $\ell$, can be accomplished and more
constraints on stellar parameters and input physics can be derived.
| astro-ph | i discuss a prospect for mode identification from twopassband photometry of forthcoming brite space mission examples of photometric diagnostic diagrams are shown for three types of main sequence pulsating variables beta cephei slowly pulsating btype and delta scuti stars i consider also taking into account the radial velocity data from simultaneous spectroscopy which can be carried out from the ground with such observations much better discrimination of the spherical harmonic degree ell can be accomplished and more constraints on stellar parameters and input physics can be derived | [['i', 'discuss', 'a', 'prospect', 'for', 'mode', 'identification', 'from', 'twopassband', 'photometry', 'of', 'forthcoming', 'brite', 'space', 'mission', 'examples', 'of', 'photometric', 'diagnostic', 'diagrams', 'are', 'shown', 'for', 'three', 'types', 'of', 'main', 'sequence', 'pulsating', 'variables', 'beta', 'cephei', 'slowly', 'pulsating', 'btype', 'and', 'delta', 'scuti', 'stars', 'i', 'consider', 'also', 'taking', 'into', 'account', 'the', 'radial', 'velocity', 'data', 'from', 'simultaneous', 'spectroscopy', 'which', 'can', 'be', 'carried', 'out', 'from', 'the', 'ground', 'with', 'such', 'observations', 'much', 'better', 'discrimination', 'of', 'the', 'spherical', 'harmonic', 'degree', 'ell', 'can', 'be', 'accomplished', 'and', 'more', 'constraints', 'on', 'stellar', 'parameters', 'and', 'input', 'physics', 'can', 'be', 'derived']] | [-0.04956783160708065, 0.17743789993746337, -0.09014967698495575, 0.06885279901325703, -0.15182928058730308, -0.16832153689181215, 0.07417710343521998, 0.3668409818133643, -0.2307550344334612, -0.3277758352978285, 0.07887948372639543, -0.2775984391959947, -0.06724534109830423, 0.2793346667164114, -0.04669093197755797, 0.029421692136079505, 0.15399781838438453, -0.02711457670070664, -0.022107917939984175, -0.23205598483002896, 0.269266412615083, -0.007746562762402518, 0.1223359371990312, -0.11565761890284024, -0.008621356795206233, -0.057221852286263954, -0.13445372741431172, -0.009442674402529265, -0.16795206388328657, 0.00880091074247693, 0.24437678622103534, 0.2029858147400583, 0.1985592328250235, -0.346047196276337, -0.24717416382546342, 0.08667219619450788, 0.21448091138695735, 0.028432915700588722, 0.007645978503501812, -0.33288526919475475, 0.03402097827787403, -0.13397988926928603, -0.15817195880984844, -0.0983154711064471, 0.06345098081781247, 0.07843122858050561, -0.3105510223526941, 0.04081196297971304, 0.02013381599782977, 0.1309874623818973, -0.11322617422394064, -0.19869890250265598, -0.05397865313733386, 0.12296351995644007, 0.041089965597737234, 0.05804978502199574, 0.04030126808915114, -0.11789053463550328, -0.031214138189720554, 0.38870425121642127, -0.07341189767764665, -0.11708185075630628, 0.15334794214766928, -0.18876565627883687, -0.18703587335361124, 0.08631167511000883, 0.15955482646389757, 0.13253651454308352, -0.18857124968713454, 0.02108076009439131, 0.0731317674481245, 0.20260600099166812, 0.07928190525989373, 0.07689343572615884, 0.3304052802539149, 0.15201160571602887, 0.016295893804094387, 0.12293278268500513, -0.23290574572828793, -0.016330546055119053, -0.2964778665106657, -0.11204361832202521, -0.10468144143686554, 0.06040107101868015, -0.11951722246868844, -0.07167274357722585, 0.4106188045413948, 0.05920929749777844, 0.14207849152173663, -0.027643290639389306, 0.3006950074936761, 0.09635604018085571, 0.06657279233670209, 0.046360444833881895, 0.29348737070726794, 0.16215970584321335, 0.0602156957232415, -0.21232288124223866, 0.0055477301573900635, 0.023120494692066555] |
709.3406 | Equal Superposition Transformations and Quantum Random Walks | The largest ensemble of qubits which satisfy the general transformation of
equal superposition is obtained by different methods, namely, linearity,
no-superluminal signalling and non-increase of entanglement under LOCC. We also
consider the associated quantum random walk and show that all unitary balanced
coins give the same asymmetric spatial probability distribution. It is further
illustrated that unbalanced coins, upon appropriate superposition, lead to new
unbiased walks which have no classical analogues.
| quant-ph | the largest ensemble of qubits which satisfy the general transformation of equal superposition is obtained by different methods namely linearity nosuperluminal signalling and nonincrease of entanglement under locc we also consider the associated quantum random walk and show that all unitary balanced coins give the same asymmetric spatial probability distribution it is further illustrated that unbalanced coins upon appropriate superposition lead to new unbiased walks which have no classical analogues | [['the', 'largest', 'ensemble', 'of', 'qubits', 'which', 'satisfy', 'the', 'general', 'transformation', 'of', 'equal', 'superposition', 'is', 'obtained', 'by', 'different', 'methods', 'namely', 'linearity', 'nosuperluminal', 'signalling', 'and', 'nonincrease', 'of', 'entanglement', 'under', 'locc', 'we', 'also', 'consider', 'the', 'associated', 'quantum', 'random', 'walk', 'and', 'show', 'that', 'all', 'unitary', 'balanced', 'coins', 'give', 'the', 'same', 'asymmetric', 'spatial', 'probability', 'distribution', 'it', 'is', 'further', 'illustrated', 'that', 'unbalanced', 'coins', 'upon', 'appropriate', 'superposition', 'lead', 'to', 'new', 'unbiased', 'walks', 'which', 'have', 'no', 'classical', 'analogues']] | [-0.11082127592290171, 0.2222507845448411, -0.09348879406309646, 0.09846010971881881, 0.012080652241095684, -0.27266106234215526, 0.050589135291216815, 0.361759804027236, -0.22504161633011224, -0.22066143572168506, 0.07517578614963408, -0.2301010391202526, -0.168907321949044, 0.16897165607930958, -0.08434246628936651, 0.08546544400409059, 0.07633811729433744, 0.046557435252960175, -0.042808306337658156, -0.2944437064048227, 0.3337714387495341, 0.0465394430540745, 0.3574109708998298, -0.05913087211809107, 0.14630854297159374, 0.03922366347514849, -0.03199505144595236, 0.007044942653063091, -0.10736585060995835, 0.06589230717551234, 0.184318242824056, 0.13418070379934827, 0.22321556287183278, -0.42417573837050493, -0.19481460070507467, 0.19141259373746056, 0.0995676380555159, 0.1305880727334137, -0.029772302378778873, -0.29607726062607503, 0.047961755389131715, -0.1484655769157183, -0.12174385251727063, -0.06556014076847097, -0.0015283397034458492, 0.04937320378055607, -0.2411410433874614, 0.11089671166600833, 0.11740699265172462, 0.024513041317138985, 0.03461635162028066, -0.12046265282728912, 0.03813895514315885, 0.11896085005887932, -0.05547956146630526, -0.03845630402582279, 0.11599527402659474, -0.04147071888724315, -0.19358370299248592, 0.3414723598330781, -0.012765569166968698, -0.2128040528100362, 0.1533285675610861, -0.1142391575149436, -0.1301457198417705, 0.07806431994422515, 0.10724277334098799, 0.07540136993444269, -0.14270169192088256, 0.04102438594977223, -0.09742362593111677, 0.11842630101718764, 0.14177935729748098, 0.10665040566042687, 0.14623845463780605, -0.01209387912725409, 0.16492952578161182, 0.2075880047581766, 0.01080438150919677, -0.21169954840012867, -0.30515265739792824, -0.16241874912267792, -0.26089455506366177, 0.13643733674552347, -0.1580700808254482, -0.15622082602340673, 0.3652615530713313, 0.1452515540497742, 0.15687219413213324, 0.08028943118963229, 0.23827208281643147, 0.14144956296903716, 0.03919891346299994, 0.079728780226593, 0.17957979049263656, 0.16324226626033045, -0.009682006378104721, -0.2191889348804303, 0.0853400516755663, 0.05268572325534795] |
709.3407 | Non-commutative residue of projections in Boutet de Monvel's calculus | Using results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de
Monvel's calculus of boundary value problems, we show that the non-commutative
residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on
projections in the calculus. This partially answers a question raised in a
recent collaboration with Grubb, namely whether the residue is zero on
sectorial projections for boundary value problems: This is confirmed to be true
when the sectorial projections is in the calculus.
| math.AP math.KT | using results by melo nest schick and schrohe on the ktheory of boutet de monvels calculus of boundary value problems we show that the noncommutative residue introduced by fedosov golse leichtnam and schrohe vanishes on projections in the calculus this partially answers a question raised in a recent collaboration with grubb namely whether the residue is zero on sectorial projections for boundary value problems this is confirmed to be true when the sectorial projections is in the calculus | [['using', 'results', 'by', 'melo', 'nest', 'schick', 'and', 'schrohe', 'on', 'the', 'ktheory', 'of', 'boutet', 'de', 'monvels', 'calculus', 'of', 'boundary', 'value', 'problems', 'we', 'show', 'that', 'the', 'noncommutative', 'residue', 'introduced', 'by', 'fedosov', 'golse', 'leichtnam', 'and', 'schrohe', 'vanishes', 'on', 'projections', 'in', 'the', 'calculus', 'this', 'partially', 'answers', 'a', 'question', 'raised', 'in', 'a', 'recent', 'collaboration', 'with', 'grubb', 'namely', 'whether', 'the', 'residue', 'is', 'zero', 'on', 'sectorial', 'projections', 'for', 'boundary', 'value', 'problems', 'this', 'is', 'confirmed', 'to', 'be', 'true', 'when', 'the', 'sectorial', 'projections', 'is', 'in', 'the', 'calculus']] | [-0.10566739109042403, 0.07062964819299129, -0.10490674639193269, 0.09027296895094748, -0.0909571706910025, -0.12118284233736915, -0.010056607032122163, 0.2751035827224131, -0.31439332872048603, -0.21222119678005383, 0.16700587657358884, -0.272388341934148, -0.16111709727821025, 0.18289181946885663, -0.22016846439377827, 0.037491436433893716, 0.04781533798124254, 0.03242955921677413, -0.04560609678012113, -0.2681093338344778, 0.4337226820069474, 0.04118387025551169, 0.18939639264475797, 0.09952341119287075, 0.06855275276322643, 0.05087811557890533, -0.04220381359775345, 0.012883174704847398, -0.16917363250397172, 0.10973521905676038, 0.2834437781334068, 0.10392870202467039, 0.2761477224722311, -0.34449308980014415, -0.1493925942083845, 0.0938980740482931, 0.053235626380358426, -0.0018247433684088967, -0.008800132718699222, -0.36902801989420475, 0.12178419050216288, -0.12800826267157864, -0.11334965915824347, -0.048333630540299335, 0.054362654093314304, -0.06479482196404465, -0.2515408398066466, 0.046718286858363586, 0.09261191439173826, 0.10998673426205074, -0.1197715848805262, -0.1374433163142243, -0.004617921705660108, 0.020009818963491806, 0.0025502097544973933, 0.07571125034750863, 0.06942508719232562, -0.029864822547616705, -0.18145404934471884, 0.2610760963727514, -0.07037086133518583, -0.26027701266545367, 0.07867325759907072, -0.1763036850803568, -0.16665129730320694, 0.051250882930569834, 0.03167325350177753, 0.16503070478097764, -0.045376249417615755, 0.24553079586082996, -0.0878799047000561, 0.10637175576918602, 0.18133078947475834, -0.100668232664224, 0.09572318711547882, 0.05347763416478289, 0.09387436707491999, 0.06476561720452767, 0.023233320373533803, -0.09160904367393874, -0.25540702577148167, -0.20124022114731663, -0.16075081789454856, 0.1045925175746927, -0.05118887646497203, -0.17586541710445633, 0.3500202839057167, 0.10744329892074714, 0.20552137274712373, 0.05461105164866169, 0.2110781260227857, 0.11892300021725816, 0.023720493999781548, 0.06136972204685308, 0.1475472287758701, 0.22465058724855544, 0.14378341197266015, -0.16952148168771106, 0.010167735160854584, 0.22078549332747405] |
709.3408 | Discrete Koenigs nets and discrete isothermic surfaces | We discuss discretization of Koenigs nets (conjugate nets with equal Laplace
invariants) and of isothermic surfaces. Our discretization is based on the
notion of dual quadrilaterals: two planar quadrilaterals are called dual, if
their corresponding sides are parallel, and their non-corresponding diagonals
are parallel. Discrete Koenigs nets are defined as nets with planar
quadrilaterals admitting dual nets. Several novel geometric properties of
discrete Koenigs nets are found; in particular, two-dimensional discrete
Koenigs nets can be characterized by co-planarity of the intersection points of
diagonals of elementary quadrilaterals adjacent to any vertex; this
characterization is invariant with respect to projective transformations.
Discrete isothermic nets are defined as circular Koenigs nets. This is a new
geometric characterization of discrete isothermic surfaces introduced
previously as circular nets with factorized cross-ratios.
| math.DG | we discuss discretization of koenigs nets conjugate nets with equal laplace invariants and of isothermic surfaces our discretization is based on the notion of dual quadrilaterals two planar quadrilaterals are called dual if their corresponding sides are parallel and their noncorresponding diagonals are parallel discrete koenigs nets are defined as nets with planar quadrilaterals admitting dual nets several novel geometric properties of discrete koenigs nets are found in particular twodimensional discrete koenigs nets can be characterized by coplanarity of the intersection points of diagonals of elementary quadrilaterals adjacent to any vertex this characterization is invariant with respect to projective transformations discrete isothermic nets are defined as circular koenigs nets this is a new geometric characterization of discrete isothermic surfaces introduced previously as circular nets with factorized crossratios | [['we', 'discuss', 'discretization', 'of', 'koenigs', 'nets', 'conjugate', 'nets', 'with', 'equal', 'laplace', 'invariants', 'and', 'of', 'isothermic', 'surfaces', 'our', 'discretization', 'is', 'based', 'on', 'the', 'notion', 'of', 'dual', 'quadrilaterals', 'two', 'planar', 'quadrilaterals', 'are', 'called', 'dual', 'if', 'their', 'corresponding', 'sides', 'are', 'parallel', 'and', 'their', 'noncorresponding', 'diagonals', 'are', 'parallel', 'discrete', 'koenigs', 'nets', 'are', 'defined', 'as', 'nets', 'with', 'planar', 'quadrilaterals', 'admitting', 'dual', 'nets', 'several', 'novel', 'geometric', 'properties', 'of', 'discrete', 'koenigs', 'nets', 'are', 'found', 'in', 'particular', 'twodimensional', 'discrete', 'koenigs', 'nets', 'can', 'be', 'characterized', 'by', 'coplanarity', 'of', 'the', 'intersection', 'points', 'of', 'diagonals', 'of', 'elementary', 'quadrilaterals', 'adjacent', 'to', 'any', 'vertex', 'this', 'characterization', 'is', 'invariant', 'with', 'respect', 'to', 'projective', 'transformations', 'discrete', 'isothermic', 'nets', 'are', 'defined', 'as', 'circular', 'koenigs', 'nets', 'this', 'is', 'a', 'new', 'geometric', 'characterization', 'of', 'discrete', 'isothermic', 'surfaces', 'introduced', 'previously', 'as', 'circular', 'nets', 'with', 'factorized', 'crossratios']] | [-0.15583988241704666, 0.10348683955994853, -0.042769667047156595, 0.09372365864188095, -0.13004041480369807, -0.181895978723132, -0.05185573876058081, 0.4315072618659556, -0.3462361613449853, -0.20476734900606913, 0.1330729861565917, -0.2981211951398474, -0.16456781819464608, 0.12642728133259093, -0.19411259798670377, 0.13178368056500991, 0.02849850716164673, -0.004670736990414384, -0.14684460958920595, -0.24839145114542696, 0.3306392624563589, -0.09877576464860457, 0.24146758738582527, 0.015775172531194107, 0.14813522651688907, 0.02677959809354763, -0.006584800149160107, 0.06124446245907681, -0.11574900261764451, 0.14398277616201657, 0.2502786375171556, 0.04772413355907, 0.1440401251031834, -0.4291055759664361, -0.13214135179699465, 0.15576953135841476, 0.13226199580547143, 0.022850357076725152, 0.015297987699090672, -0.29239866309102597, 0.08013312026902329, -0.035021597988844855, -0.13172565326901284, -0.10201688944618767, 0.004352321477944222, 0.10072161637862602, -0.191183776545199, -0.025352221015312777, 0.21281934124747598, 0.16389035884525596, -0.004788792681124971, -0.10236855803720293, -0.1529190034612896, 0.037642008199642495, -0.053924289163510046, 0.03210278568921361, 0.03331613228986348, -0.007430257360032928, -0.23242082534812566, 0.35971043808899056, 0.019833615548380718, -0.3494435696327311, 0.15927306735910124, -0.058070029766394166, -0.11883489091653289, 0.13289235550433573, 0.16198510031846505, 0.19220827675358518, -0.12798401950235208, 0.1476089496259013, -0.11180596691592941, 0.005201911949735927, 0.1818347598066715, 0.031179686450934784, 0.22916225242010485, 0.08432630922161335, 0.06896542399382864, 0.2073580843761314, -0.025831038666720405, -0.15155609687936938, -0.37513499946047474, -0.1464336487248276, -0.1713369817428995, 0.005307565606382536, -0.11527218692363093, -0.2846482759268265, 0.3500627395220277, -0.01375792243363937, 0.20659400438376535, 0.1728314039275402, 0.21201296708927908, 0.0918542551936391, 0.13094779708620718, 0.07399924889969545, 0.16409966347768434, 0.21511434583455383, -0.02094458666534757, -0.09302246320890042, -0.006541069157010927, 0.28106592511611544] |
709.3409 | The transition from highly to fully stretched polymer brushes in good
solvent | The stretching of brushes of long polymers grafted to a planar surface is
investigated byMonte Carlo simulations in the limit of very high grafting
densities, as achieved in recent experiments. The monomer density profiles are
shown to deviate considerably from the parabolic limiting form predicted by
self-consistent field theory. A rapid transition is observed from parabolic to
fully stretched polymers, characterized by a dramatic change in the end-monomer
height distribution and by a clear cross-over in the slope of the brush height
versus scaled grafting density.
| cond-mat.soft cond-mat.stat-mech | the stretching of brushes of long polymers grafted to a planar surface is investigated bymonte carlo simulations in the limit of very high grafting densities as achieved in recent experiments the monomer density profiles are shown to deviate considerably from the parabolic limiting form predicted by selfconsistent field theory a rapid transition is observed from parabolic to fully stretched polymers characterized by a dramatic change in the endmonomer height distribution and by a clear crossover in the slope of the brush height versus scaled grafting density | [['the', 'stretching', 'of', 'brushes', 'of', 'long', 'polymers', 'grafted', 'to', 'a', 'planar', 'surface', 'is', 'investigated', 'bymonte', 'carlo', 'simulations', 'in', 'the', 'limit', 'of', 'very', 'high', 'grafting', 'densities', 'as', 'achieved', 'in', 'recent', 'experiments', 'the', 'monomer', 'density', 'profiles', 'are', 'shown', 'to', 'deviate', 'considerably', 'from', 'the', 'parabolic', 'limiting', 'form', 'predicted', 'by', 'selfconsistent', 'field', 'theory', 'a', 'rapid', 'transition', 'is', 'observed', 'from', 'parabolic', 'to', 'fully', 'stretched', 'polymers', 'characterized', 'by', 'a', 'dramatic', 'change', 'in', 'the', 'endmonomer', 'height', 'distribution', 'and', 'by', 'a', 'clear', 'crossover', 'in', 'the', 'slope', 'of', 'the', 'brush', 'height', 'versus', 'scaled', 'grafting', 'density']] | [-0.08996046058806208, 0.20441358484985198, -0.11801636414876317, 0.030685254189131015, 0.04734966135857736, -0.1278654521879028, 0.02244318051071947, 0.3995837130748174, -0.26890812629306526, -0.2903632076785845, 0.017065566608353573, -0.26593842629124137, -0.10595430022872546, 0.15599560531623224, -0.012395934598958668, 0.0635637781363638, 0.022292672335991963, -0.01572074940537705, -0.10195624258588343, -0.14032939858186771, 0.20777475700768477, 0.09491423233686125, 0.3181388173252344, 0.06779582212295603, 0.04481815310085521, -0.012416887990034679, 0.025026482984642773, 0.11849486977957627, -0.23438517462243053, 0.06671691676601768, 0.2176975195433068, -0.043775577339179375, 0.2069576381431783, -0.4726183576180654, -0.2628784017199103, 0.043358551478013395, 0.17412583790171673, 0.10392933693330954, -0.04085087681408314, -0.24498609609025365, 0.03341900548514198, -0.16391330014311653, -0.19376881183398997, 0.021810511800953572, 0.059970292696893655, 0.12274531640441103, -0.18547224948073135, 0.13477512758690863, 0.010535126798512304, 0.0834134477245457, -0.009709500335156917, -0.08144395277451943, -0.10116970915182986, 0.0628238559303367, 0.09297415891881375, 0.06022792545640293, 0.24134022231925936, -0.18328077056828668, -0.006083393184577717, 0.3357691020650022, -0.1253956792109153, -0.11563671178677502, 0.19218240263050093, -0.1868128742392668, -0.08178337074487525, 0.24576265510062084, 0.09877167531453511, 0.11517506021294086, -0.09708947634653134, 0.07735740299103781, -0.01062176111702095, 0.16238772680654245, 0.12326373142628547, -0.10348575861357591, 0.20717575680464506, 0.20749329133507083, 0.0255154761047486, 0.1569437699063736, -0.09138832905822818, -0.14116218202911757, -0.2115948418593582, -0.11934586354695699, -0.24230630549547427, 0.0665348131538314, -0.11321182333682801, -0.21114521833677666, 0.34194267986835364, 0.047750879385892085, 0.2576020675820901, 0.11328045046230888, 0.19166817761519375, 0.11585946220986765, 0.08874745489481617, 0.012386041700922171, 0.23712010953356238, 0.19338952452766106, 0.07307674909585758, -0.22098009269136717, 0.11051053626818912, 0.036503548421623074] |
709.341 | Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions
and combinatorics | We consider the level 1 solution of quantum Knizhnik-Zamolodchikov equation
with reflecting boundary conditions which is relevant to the Temperley--Lieb
model of loops on a strip. By use of integral formulae we prove conjectures
relating it to the weighted enumeration of Cyclically Symmetric Transpose
Complement Plane Partitions and related combinatorial objects.
| math-ph math.CO math.MP nlin.SI | we consider the level 1 solution of quantum knizhnikzamolodchikov equation with reflecting boundary conditions which is relevant to the temperleylieb model of loops on a strip by use of integral formulae we prove conjectures relating it to the weighted enumeration of cyclically symmetric transpose complement plane partitions and related combinatorial objects | [['we', 'consider', 'the', 'level', '1', 'solution', 'of', 'quantum', 'knizhnikzamolodchikov', 'equation', 'with', 'reflecting', 'boundary', 'conditions', 'which', 'is', 'relevant', 'to', 'the', 'temperleylieb', 'model', 'of', 'loops', 'on', 'a', 'strip', 'by', 'use', 'of', 'integral', 'formulae', 'we', 'prove', 'conjectures', 'relating', 'it', 'to', 'the', 'weighted', 'enumeration', 'of', 'cyclically', 'symmetric', 'transpose', 'complement', 'plane', 'partitions', 'and', 'related', 'combinatorial', 'objects']] | [-0.16111756371808986, 0.07166772436504093, -0.050907126865258404, 0.06011599139082154, -0.13118895767347924, -0.16558102678105818, 0.030286763487703296, 0.3051699575986348, -0.30106934517914175, -0.2427224095764698, 0.1553488078563675, -0.2790577521949422, -0.16990064495407484, 0.17710449606381065, -0.10349461423488808, 0.0521835636566667, 0.08043250171285049, 0.056281840494906935, -0.09146086092083601, -0.2530676995760159, 0.39606563562490776, -0.057295772221907244, 0.20203842204429356, 0.04625728511361077, 0.12220513208897091, 0.023360299585642768, -0.034785831862987546, -0.013683875255724964, -0.22646925337247403, 0.12745021790375605, 0.2458710219053661, 0.0953599211860302, 0.14659982804647265, -0.4206999342742504, -0.10000668693899963, 0.12030747452495145, 0.1265575851764023, 0.05784242878458006, 0.036662366900903486, -0.2970035387403971, 0.06524830628825608, -0.12275995620909859, -0.19674431610659596, -0.01385595808810025, 0.016571850241983637, 0.03254616903323753, -0.23109455523537656, 0.02446007699358697, 0.06585043726269812, 0.03656598677237829, -0.08673947468838271, -0.12644524857694028, 0.002440666925965571, 0.07475772342991595, -0.02751355494062106, -0.011440586291285524, 0.06504086814090318, -0.143874199768784, -0.17524680298040896, 0.33627890320677384, 0.04568162416199259, -0.26528268723803405, 0.11358885211395282, -0.1594345786462666, -0.14529717868814865, 0.1055418745998074, 0.0715236430439879, 0.13477780275485096, -0.10127251259252137, 0.13762710635052702, -0.14482353336186896, 0.08833840434375566, 0.1508631295725411, -0.02826177041438938, 0.1731264309994146, 0.0627175080498644, 0.11945803921815812, 0.2682552813168834, 0.018164704900746252, -0.14631813397521481, -0.32842408007412566, -0.19195050182843618, -0.13628646842085337, 0.06646980018373214, -0.12064025126478643, -0.24566026733202093, 0.38162580992588224, 0.1458465849031128, 0.18259344990684778, 0.09140942373778671, 0.21085785504649668, 0.16121763660225505, 0.040479302095870175, 0.026172999721750908, 0.05965423683508062, 0.28631847417529893, 0.028764309697983076, -0.19337105808560462, -0.007236386448437092, 0.2336132060188581] |
709.3411 | Sure Wins, Separating Probabilities and the Representation of Linear
Functionals | We discuss conditions under which a convex cone $\K\subset \R^{\Omega}$
admits a probability $m$ such that $\sup_{k\in \K} m(k)\leq0$. Based on these,
we also characterize linear functionals that admit the representation as
finitely additive expectations. A version of Riesz decomposition based on this
property is obtained as well as a characterisation of positive functionals on
the space of integrable functions
| math.FA math.PR | we discuss conditions under which a convex cone ksubset romega admits a probability m such that sup_kin k mkleq0 based on these we also characterize linear functionals that admit the representation as finitely additive expectations a version of riesz decomposition based on this property is obtained as well as a characterisation of positive functionals on the space of integrable functions | [['we', 'discuss', 'conditions', 'under', 'which', 'a', 'convex', 'cone', 'ksubset', 'romega', 'admits', 'a', 'probability', 'm', 'such', 'that', 'sup_kin', 'k', 'mkleq0', 'based', 'on', 'these', 'we', 'also', 'characterize', 'linear', 'functionals', 'that', 'admit', 'the', 'representation', 'as', 'finitely', 'additive', 'expectations', 'a', 'version', 'of', 'riesz', 'decomposition', 'based', 'on', 'this', 'property', 'is', 'obtained', 'as', 'well', 'as', 'a', 'characterisation', 'of', 'positive', 'functionals', 'on', 'the', 'space', 'of', 'integrable', 'functions']] | [-0.11897136158598907, 0.0693153023462871, -0.1415778193301682, 0.0818654288084182, -0.07392227268729616, -0.10041431375329607, 0.02102513193827251, 0.37572121369684564, -0.28267562773945776, -0.14491106317667612, 0.13297271662680754, -0.2518610303964594, -0.19910115655511618, 0.22662248404230922, -0.09201049294065812, 0.04818771567581029, 0.051719955690526245, 0.095854927878024, -0.13535839090412805, -0.22145516496023226, 0.36498504536675996, -0.04615835867950629, 0.2058417507094042, 0.05360824310778769, 0.18979424562562128, 0.044386899050582074, 0.010909964169921547, 0.06817813671208067, -0.1913461553603752, 0.0936338660499916, 0.25216538144339773, 0.13287559075377367, 0.2922478177873739, -0.36952772322271404, -0.18293619141432232, 0.16565941547139965, 0.04826827920523697, -0.04935791278619255, -0.04816817257208107, -0.2594221797611179, 0.11229019169695675, -0.12880276252740416, -0.13032343097288032, -0.12396858144423058, 0.01874655108609847, 0.07915898394803035, -0.3073278163912995, 0.02881821273406566, 0.14758837406306752, 0.029690598924483717, -0.10094362885916028, -0.17789323149441644, -0.028865386479020375, -0.0018760418390919421, -0.018320615840915204, 0.05187573566920413, 0.1072505932815116, -0.03417563476953013, -0.12900639075890247, 0.36565766311732345, -0.13567616475810265, -0.3040442156187933, 0.17039761678235413, -0.12955487749121827, -0.16300075263154276, 0.09478106871568437, 0.1468888706375106, 0.15204850430118627, -0.09440391019372077, 0.22456522652044378, -0.16946333618674042, 0.08986802947514787, 0.09200505058056321, 0.10999079928171404, 0.13361275450583418, 0.1030268938730246, 0.19532841457664196, 0.148671699655724, 0.015408335474383986, -0.04841749640663379, -0.38663536361579237, -0.148651161760991, -0.21962901928606604, 0.1420603421163456, -0.08483448094720471, -0.2742653739927658, 0.3557548517088309, 0.025882719630568193, 0.18215391836289702, 0.14792836640744694, 0.2204239153592237, 0.13575691923475022, 0.022544028020688688, 0.05317820645547632, 0.10281278311820893, 0.1692404428111582, -0.041633249653888676, -0.13950973666465744, 0.04007179349869618, 0.16652972790701637] |
709.3412 | Characterization of quasi-coherent modules that are module schemes | The R-module functors that are essential for the development of the theory of
the linear representations of an affine R-group are the quasi-coherent
R-modules and the R-module schemes. The aim of this paper is to study when a
quasi-coherent R-module is an R-module scheme. We will prove that it is
equivalent to giving a characterization of projective R-modules of finite type.
| math.AC | the rmodule functors that are essential for the development of the theory of the linear representations of an affine rgroup are the quasicoherent rmodules and the rmodule schemes the aim of this paper is to study when a quasicoherent rmodule is an rmodule scheme we will prove that it is equivalent to giving a characterization of projective rmodules of finite type | [['the', 'rmodule', 'functors', 'that', 'are', 'essential', 'for', 'the', 'development', 'of', 'the', 'theory', 'of', 'the', 'linear', 'representations', 'of', 'an', 'affine', 'rgroup', 'are', 'the', 'quasicoherent', 'rmodules', 'and', 'the', 'rmodule', 'schemes', 'the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'study', 'when', 'a', 'quasicoherent', 'rmodule', 'is', 'an', 'rmodule', 'scheme', 'we', 'will', 'prove', 'that', 'it', 'is', 'equivalent', 'to', 'giving', 'a', 'characterization', 'of', 'projective', 'rmodules', 'of', 'finite', 'type']] | [-0.20284137871024793, 0.04651495654443202, -0.09385267431374456, 0.053954566985399265, -0.04789991817269169, -0.18546129053183755, -0.11400713766237995, 0.39547267925666, -0.43122523264257145, -0.10474778599579071, 0.1277207096076769, -0.2121438751241467, -0.10833954244668854, 0.1618847233075343, -0.23722060980489018, -0.07722654532580102, 0.050261528639611405, 0.07231968116076266, -0.0165141020504544, -0.32984274036449485, 0.46358721362060457, 0.07344196997888264, 0.2897850404661454, 0.07552697447693495, 0.16797014577772285, -0.04479770591390914, -0.04119200076236099, -0.04099415555657422, -0.19365795036958203, 0.13208329600862181, 0.4227526306373174, 0.10811832184201015, 0.23314513604645234, -0.36840341395896964, -0.052614774404200496, 0.239779276647376, 0.15012985058739536, 0.07081362852429757, 0.005570709598479701, -0.2582193672290591, 0.20298982934537727, -0.22651808506515275, -0.11968993352817707, -0.035025661872302896, 0.09101911643367322, 0.008014928026613398, -0.31117339505523933, -0.07075966923635026, 0.11912229434266443, 0.12520262218828573, -0.08494319380490017, 0.010190018559577034, -0.06417047033910869, 0.0522013317901435, -0.06891511810836612, -0.020215267678112037, 0.09718135819144424, -0.06608371643853359, -0.10327691621467715, 0.35920178987940804, -0.08940462762734196, -0.23056974405514413, 0.11620427796342334, -0.13588191678205536, -0.05309909187852726, 0.11242835159550925, 0.008817817588321498, 0.19684577805799294, -0.058650001056433164, 0.24039857474167176, -0.19666552479516286, 0.10999212538266219, 0.010351939661214586, 0.09291707381575567, 0.13702358468817394, 0.18219808398623813, 0.087907896422949, 0.1089675207851363, 0.03323029922168763, 0.08631818199560778, -0.4145262004410634, -0.2651369982383779, -0.11171952691158188, 0.1393449641000785, -0.029505631916719243, -0.14245737153945154, 0.4160327131949536, 0.13772081443276563, 0.1124340110920278, 0.15264403715073208, 0.2997003343628078, 0.0012399699905368147, -0.017131658270955086, 0.008505151523124487, 0.12204507030699341, 0.26838950660140787, -0.054718603761714016, -0.10876295323956942, 0.003391554029505761, 0.22824308482288827] |
709.3413 | Deconvolution for an atomic distribution | Let $X_1,...,X_n$ be i.i.d. observations, where $X_i=Y_i+\sigma Z_i$ and
$Y_i$ and $Z_i$ are independent. Assume that unobservable $Y$'s are distributed
as a random variable $UV,$ where $U$ and $V$ are independent, $U$ has a
Bernoulli distribution with probability of zero equal to $p$ and $V$ has a
distribution function $F$ with density $f.$ Furthermore, let the random
variables $Z_i$ have the standard normal distribution and let $\sigma>0.$ Based
on a sample $X_1,..., X_n,$ we consider the problem of estimation of the
density $f$ and the probability $p.$ We propose a kernel type deconvolution
estimator for $f$ and derive its asymptotic normality at a fixed point. A
consistent estimator for $p$ is given as well. Our results demonstrate that our
estimator behaves very much like the kernel type deconvolution estimator in the
classical deconvolution problem.
| math.ST stat.TH | let x_1x_n be iid observations where x_iy_isigma z_i and y_i and z_i are independent assume that unobservable ys are distributed as a random variable uv where u and v are independent u has a bernoulli distribution with probability of zero equal to p and v has a distribution function f with density f furthermore let the random variables z_i have the standard normal distribution and let sigma0 based on a sample x_1 x_n we consider the problem of estimation of the density f and the probability p we propose a kernel type deconvolution estimator for f and derive its asymptotic normality at a fixed point a consistent estimator for p is given as well our results demonstrate that our estimator behaves very much like the kernel type deconvolution estimator in the classical deconvolution problem | [['let', 'x_1x_n', 'be', 'iid', 'observations', 'where', 'x_iy_isigma', 'z_i', 'and', 'y_i', 'and', 'z_i', 'are', 'independent', 'assume', 'that', 'unobservable', 'ys', 'are', 'distributed', 'as', 'a', 'random', 'variable', 'uv', 'where', 'u', 'and', 'v', 'are', 'independent', 'u', 'has', 'a', 'bernoulli', 'distribution', 'with', 'probability', 'of', 'zero', 'equal', 'to', 'p', 'and', 'v', 'has', 'a', 'distribution', 'function', 'f', 'with', 'density', 'f', 'furthermore', 'let', 'the', 'random', 'variables', 'z_i', 'have', 'the', 'standard', 'normal', 'distribution', 'and', 'let', 'sigma0', 'based', 'on', 'a', 'sample', 'x_1', 'x_n', 'we', 'consider', 'the', 'problem', 'of', 'estimation', 'of', 'the', 'density', 'f', 'and', 'the', 'probability', 'p', 'we', 'propose', 'a', 'kernel', 'type', 'deconvolution', 'estimator', 'for', 'f', 'and', 'derive', 'its', 'asymptotic', 'normality', 'at', 'a', 'fixed', 'point', 'a', 'consistent', 'estimator', 'for', 'p', 'is', 'given', 'as', 'well', 'our', 'results', 'demonstrate', 'that', 'our', 'estimator', 'behaves', 'very', 'much', 'like', 'the', 'kernel', 'type', 'deconvolution', 'estimator', 'in', 'the', 'classical', 'deconvolution', 'problem']] | [-0.10285433925884335, 0.10464680605546985, -0.1251712873669103, 0.008175723226670931, -0.021444892092376835, -0.22317227693904834, 0.05669837633736039, 0.37378989697847154, -0.28689433650911916, -0.20022098511401423, 0.09956105150758549, -0.3260369223255412, -0.09959816953948089, 0.12246994676481568, -0.0856504729507785, 0.04380217280993378, 0.011101027526997757, 0.10519282765602483, -0.07860765197923533, -0.2589465306347054, 0.2803320170535979, -0.05044244922333418, 0.22855835847199468, -0.1102074012090277, 0.11939301002154448, 0.05910289641539741, -0.020160703415653312, -0.0014979639948394738, -0.15310387662841668, 0.02888009357756298, 0.22735607338705122, 0.12934884233336766, 0.3524465419884239, -0.3240629564565357, -0.1953656734282473, 0.22109724922259724, 0.16823811762216956, -0.06172006439305562, -0.006925557564096735, -0.25668373746671397, 0.13145298892597115, -0.11298286649083397, -0.13178645640513614, -0.014348163689605724, 0.08135511275885024, 0.0912893338451036, -0.45624606776982546, 0.10978244352714628, 0.05244309497083348, 0.045770096522580864, 0.0064059587246283215, -0.23927302068953676, -0.026870906319735304, 0.0183917785245449, 0.023935311520297108, 0.12001958449504205, 0.1026655559336567, -0.07096415162926778, -0.02890100716298124, 0.32067416008925975, -0.10835046588733821, -0.24361751276887672, 0.10195450170518816, -0.18787407074683815, -0.11657424373692252, 0.06189695323110187, 0.1461863822502406, 0.1327582321749454, -0.10187399615638686, 0.1967557643656619, -0.10052869812221288, 0.11134689954688065, 0.004840020748569553, 0.0186993142561917, 0.15554356374742842, 0.07374896770133112, 0.11716983381035577, 0.10710122639442884, -0.1395084787373732, 0.02021710369455859, -0.36868916865774337, -0.07367663341924492, -0.2723717951474893, 0.12956827503622026, -0.1657653502461061, -0.19592158424955114, 0.306866825621267, 0.12505598305470722, 0.2512945902264236, 0.12932178565770164, 0.22595779834129398, 0.17556929425861603, -0.05791637598697964, 0.11500040230628356, 0.05207825153785989, 0.1866445904335049, 0.010812367557695038, -0.14697994098165318, 0.1314802935760104, 0.05926328698082134] |
709.3414 | A normal distribution for the disturbance term in regression theory | In regression theory, it is stated that the disturbance term follows the
normal distribution when the sample size is large. In Professor J.Johnston's
words: "In view of the many factors involved, an appeal to the Central Limit
Theorem would further suggest a normal distribution for u." This paper includes
an elementary proof that the disturbance term follows the normal distribution
when n is large.
| math.PR | in regression theory it is stated that the disturbance term follows the normal distribution when the sample size is large in professor jjohnstons words in view of the many factors involved an appeal to the central limit theorem would further suggest a normal distribution for u this paper includes an elementary proof that the disturbance term follows the normal distribution when n is large | [['in', 'regression', 'theory', 'it', 'is', 'stated', 'that', 'the', 'disturbance', 'term', 'follows', 'the', 'normal', 'distribution', 'when', 'the', 'sample', 'size', 'is', 'large', 'in', 'professor', 'jjohnstons', 'words', 'in', 'view', 'of', 'the', 'many', 'factors', 'involved', 'an', 'appeal', 'to', 'the', 'central', 'limit', 'theorem', 'would', 'further', 'suggest', 'a', 'normal', 'distribution', 'for', 'u', 'this', 'paper', 'includes', 'an', 'elementary', 'proof', 'that', 'the', 'disturbance', 'term', 'follows', 'the', 'normal', 'distribution', 'when', 'n', 'is', 'large']] | [-0.0969385836820399, 0.13489990009203745, -0.11967432652304452, 0.09964196687372076, -0.06573663184064485, -0.09919199503455607, 0.02704416566513597, 0.27469361623719574, -0.32167246999839944, -0.2634521267406406, 0.07003670336774713, -0.290478895699221, -0.13555538841053874, 0.1707249452177036, -0.15402590095375976, -0.032474677359300944, 0.047945345374977306, 0.058742247181870634, -0.02578560255157451, -0.23814148191244355, 0.31860572515454677, 0.027976360438125476, 0.32140675970604493, 0.016690751766815545, 0.07392228715535668, 0.06294503429579357, -0.03455910018630444, -0.010517447565992674, -0.07362094486898203, 0.04827676037888205, 0.242410431364699, 0.13612045120033953, 0.3392932075741036, -0.3586400343868133, -0.16553629098075723, 0.10639924836891984, 0.136964156746953, 0.09822886383959226, -0.0012764824362146475, -0.21646129329954938, 0.06266779626538563, -0.16654940648743558, -0.2126586680847501, -0.007189681753516197, 0.09421892215531054, -0.00242101445439316, -0.29217448054132833, 0.08329616877294722, 0.18661460205949548, 0.062101284973323345, -0.009737123055235735, -0.1401742754415387, 0.03276848325890208, 0.12144114722457108, 0.108778337227358, 0.06849269886013298, 0.10177663429538601, -0.16690053964876347, -0.02800257388679754, 0.34154251664285623, -0.06023259758062306, -0.18683328656923204, 0.14668204933996237, -0.16315077120319954, -0.13848830180035698, 0.09633976567004408, 0.1300667995727429, 0.0697188466669075, -0.156047610472241, 0.13315870341131583, -0.11361548195533927, 0.18787169476069274, 0.0338210164318009, -0.020570168552535868, 0.14049756228332483, 0.14044387108601986, 0.07934236464308693, 0.12487240797943538, -0.06859902727107207, -0.07739004256233337, -0.37737625352446996, -0.1627227866371709, -0.232988795029029, 0.07789240682142831, -0.10945506799700004, -0.18738487924611757, 0.3169754415691372, 0.11903612022214229, 0.18899005241987724, 0.07667942572798994, 0.25181171491683, 0.170674782423746, 0.05468773266064033, 0.08325234303132646, 0.1857998353236961, 0.14585030871251273, 0.05508602650037834, -0.1518259773636976, 0.12489861693410646, 0.04672892171416491] |
709.3415 | Towards a good definition of algebraically overtwisted | Symplectic field theory (SFT) is a collection of homology theories that
provide invariants for contact manifolds. We give a proof that vanishing of any
one of either contact homology, rational SFT or (full) SFT are equivalent. We
call a manifold for which these theories vanish "algebraically overtwisted".
| math.SG | symplectic field theory sft is a collection of homology theories that provide invariants for contact manifolds we give a proof that vanishing of any one of either contact homology rational sft or full sft are equivalent we call a manifold for which these theories vanish algebraically overtwisted | [['symplectic', 'field', 'theory', 'sft', 'is', 'a', 'collection', 'of', 'homology', 'theories', 'that', 'provide', 'invariants', 'for', 'contact', 'manifolds', 'we', 'give', 'a', 'proof', 'that', 'vanishing', 'of', 'any', 'one', 'of', 'either', 'contact', 'homology', 'rational', 'sft', 'or', 'full', 'sft', 'are', 'equivalent', 'we', 'call', 'a', 'manifold', 'for', 'which', 'these', 'theories', 'vanish', 'algebraically', 'overtwisted']] | [-0.2915361437926743, 0.12666597134096824, -0.15646219689478266, 0.14428847783710808, -0.12274921586380359, -0.29697703283795335, -0.044978139478653825, 0.3165537076506843, -0.24813932025844745, -0.19322978817124634, 0.10759060234425867, -0.25583572718413905, -0.23425792289917616, 0.15870615034958624, -0.12184638234766874, -0.06041406255532453, 0.10561671845139341, 0.12133904270632094, -0.11257358233226424, -0.3063267620795585, 0.45120158221850054, -0.09923723897837261, 0.16138358453803875, 0.0830354720770203, 0.1417902677537913, -0.012439027567334632, 0.01411550670386629, 0.09915211306330055, -0.19466410802356512, 0.11018331279913757, 0.29506666324240094, 0.03242787171868568, 0.10104781373384152, -0.4417717793282676, -0.195633247544236, 0.15184715144494745, 0.1476697148557039, 0.06195929669031992, 0.004377947595128988, -0.2361925834829503, 0.14329775623937555, -0.15413233812185043, -0.17297271391416483, -0.13672812689254257, -0.0031401712442451018, -0.002736258954602353, -0.14850845199791676, -0.06748332753975658, 0.1293918351305926, 0.17392275858908257, -0.06531365764664208, -0.030829555592796903, -0.022914630727485775, 0.10595405378695974, -0.0014962945579293562, 0.1210885597194763, 0.16532677145516303, -0.07867549490579899, -0.15978378035187563, 0.30051044913682534, -0.0826180747690353, -0.3098936034168335, 0.112153347264579, -0.05936235271671668, -0.22242182196969998, 0.21248796625815808, -0.008957587885967594, 0.16812340244452686, -0.037384721985522736, 0.20385934398608638, -0.10498270642091619, 0.08583635067507783, 0.05587093929383666, -0.04912012654970935, 0.22262255803860248, 0.03385904695382936, 0.1569398408161199, 0.0693805059616236, 0.03167262794251772, -0.11441577356705006, -0.3900473358783316, -0.254173637209262, -0.08822732359329437, 0.26889779457346874, -0.10173219456238315, -0.329807675592205, 0.36421788265888994, 0.04158216243253109, 0.11711811765711358, 0.2305499200555595, 0.25537424490965427, 0.06296355443749022, 0.06465522961770283, 0.027908226267058165, 0.1294290673859576, 0.21864029469880017, -0.04380250484385389, -0.07172362994343201, -0.07192145499024302, 0.26561452575186467] |
709.3416 | G\'eom\'etrie, points entiers et courbes enti\`eres | Let $X$ be a projective variety over a number field $K$ (resp. over
$\mathbb{C}$). Let $H$ be the sum of ``sufficiently many positive divisors'' on
$X$. We show that any set of quasi-integral points (resp. any integral curve)
in $X-H$ is not Zariski dense.
| math.AG | let x be a projective variety over a number field k resp over mathbbc let h be the sum of sufficiently many positive divisors on x we show that any set of quasiintegral points resp any integral curve in xh is not zariski dense | [['let', 'x', 'be', 'a', 'projective', 'variety', 'over', 'a', 'number', 'field', 'k', 'resp', 'over', 'mathbbc', 'let', 'h', 'be', 'the', 'sum', 'of', 'sufficiently', 'many', 'positive', 'divisors', 'on', 'x', 'we', 'show', 'that', 'any', 'set', 'of', 'quasiintegral', 'points', 'resp', 'any', 'integral', 'curve', 'in', 'xh', 'is', 'not', 'zariski', 'dense']] | [-0.2722317768599499, 0.07565099460242147, -0.0935365641489625, -0.07454869886384007, -0.0422571569850499, -0.15793334941157477, 0.035028433993416416, 0.3752672157504342, -0.3353514497761022, -0.14070291952653366, 0.04833304356824639, -0.27117158491587773, -0.05642702054782686, 0.25182336734988814, -0.127475361043418, -0.11046067716299811, 0.06528733843747019, 0.16596095071343536, -0.08596555799224669, -0.3753174801611088, 0.3396789191121405, -0.18734448229555378, 0.12303737970069051, 0.04607883851382543, 0.13152473788200456, 0.02644781161374836, 0.08851409898224202, 0.06434187649706886, -0.12684719235486144, 0.0720845504282889, 0.37011439649557526, 0.13904319952284408, 0.24785958006131378, -0.3212298910260539, -0.22064691726964983, 0.4285034118431874, 0.18497785612602125, -0.15338161096654154, 0.057473073594420304, -0.20256072060543706, 0.19551692554854194, -0.08845546033064072, -0.12493243818806316, -0.10062087699770927, 0.12406489086093973, 0.04832993948366493, -0.3093394040320577, -0.1280900224545886, 0.03408113037320701, 0.1823260168841278, 0.008165807510853152, -0.15551534174433487, -0.11052082304906269, -0.023177905717271973, -0.0882470233799805, 0.1963480276621836, 0.0715719979277558, -0.052018753845583306, -0.03274516740136526, 0.37987026589160616, -0.1064378810538487, -0.22614169793880798, 0.08890882312235507, -0.2761622746686705, -0.060609932777217844, 0.24881769581274552, 0.11156702994114974, 0.20565666920844128, 0.022596971153027633, 0.28990900135514414, -0.2091191627339206, 0.12119176128709858, 0.08391666162589734, -0.019874689073979178, 0.20998391722836954, 0.029882132393223317, 0.13376882356797895, 0.029561780631245874, -0.023557861605447462, 0.06805877966425297, -0.4136531667106531, -0.1924905894662846, -0.1696603242641624, 0.2916283396933233, -0.1559617358725518, -0.18690610787069256, 0.30037382956255565, 0.019766707777638327, 0.26592006607362156, 0.11672285836274651, 0.1847980245101181, 0.03933971453311229, 0.017571224026720633, 0.13949831387832423, -0.047742761444004085, 0.22230400574732234, -0.11014139945936305, -0.10931628653567961, 0.018748776595616204, 0.1654251792087135] |
709.3417 | The innermost region of the water megamaser radio galaxy 3C403 | The standard unified scheme of active galactic nuclei requires the presence
of high column densities of gas and dust potentially obscuring the central
engine. So far, few direct subarcsecond resolution studies of this material
have been performed toward radio galaxies. The goal of this paper is to
elucidate the nuclear environment of the prototypical X-shaped Fanaroff-Riley
type II radio galaxy 3C403, the only powerful radio galaxy known to host a
water megamaser. Very Large Array A-array and single-dish Green Bank and
Effelsberg 1.3 cm measurements were performed to locate and monitor the water
maser emission. Very Long Baseline Interferometry 6 cm continuum observations
were taken to analyze the spatial structure of the nuclear environment at even
smaller scales, while the CO J=1-0 and 2-1 transitions were observed with the
IRAM 30-m telescope to search for thermal emission from a spatially extended,
moderately dense gas component.[abridged]
| astro-ph | the standard unified scheme of active galactic nuclei requires the presence of high column densities of gas and dust potentially obscuring the central engine so far few direct subarcsecond resolution studies of this material have been performed toward radio galaxies the goal of this paper is to elucidate the nuclear environment of the prototypical xshaped fanaroffriley type ii radio galaxy 3c403 the only powerful radio galaxy known to host a water megamaser very large array aarray and singledish green bank and effelsberg 13 cm measurements were performed to locate and monitor the water maser emission very long baseline interferometry 6 cm continuum observations were taken to analyze the spatial structure of the nuclear environment at even smaller scales while the co j10 and 21 transitions were observed with the iram 30m telescope to search for thermal emission from a spatially extended moderately dense gas componentabridged | [['the', 'standard', 'unified', 'scheme', 'of', 'active', 'galactic', 'nuclei', 'requires', 'the', 'presence', 'of', 'high', 'column', 'densities', 'of', 'gas', 'and', 'dust', 'potentially', 'obscuring', 'the', 'central', 'engine', 'so', 'far', 'few', 'direct', 'subarcsecond', 'resolution', 'studies', 'of', 'this', 'material', 'have', 'been', 'performed', 'toward', 'radio', 'galaxies', 'the', 'goal', 'of', 'this', 'paper', 'is', 'to', 'elucidate', 'the', 'nuclear', 'environment', 'of', 'the', 'prototypical', 'xshaped', 'fanaroffriley', 'type', 'ii', 'radio', 'galaxy', '3c403', 'the', 'only', 'powerful', 'radio', 'galaxy', 'known', 'to', 'host', 'a', 'water', 'megamaser', 'very', 'large', 'array', 'aarray', 'and', 'singledish', 'green', 'bank', 'and', 'effelsberg', '13', 'cm', 'measurements', 'were', 'performed', 'to', 'locate', 'and', 'monitor', 'the', 'water', 'maser', 'emission', 'very', 'long', 'baseline', 'interferometry', '6', 'cm', 'continuum', 'observations', 'were', 'taken', 'to', 'analyze', 'the', 'spatial', 'structure', 'of', 'the', 'nuclear', 'environment', 'at', 'even', 'smaller', 'scales', 'while', 'the', 'co', 'j10', 'and', '21', 'transitions', 'were', 'observed', 'with', 'the', 'iram', '30m', 'telescope', 'to', 'search', 'for', 'thermal', 'emission', 'from', 'a', 'spatially', 'extended', 'moderately', 'dense', 'gas', 'componentabridged']] | [-0.05799288396036474, 0.048480088723224256, 0.00033794696462321116, 0.07768606328180751, -0.09938085410203394, -0.12539297136172026, 0.02353402176445311, 0.4702400542287664, -0.14299802954302177, -0.3413589880834301, 0.12469377837606244, -0.25195781602621914, 0.005826475921777318, 0.13272962209091269, 0.0717765035895774, -0.01492649130970956, 0.02168119883073585, -0.17487706018976504, -0.036709339577717694, -0.15410938614269498, 0.23413905084549963, 0.19007324101891812, 0.20925825394663986, -0.006155329671773044, 0.10140072569980488, -0.1628465066025672, -0.1358918901207251, -0.02299626053708208, -0.06593147235013988, 0.051003710109532086, 0.3178665306015344, 0.07844113050292448, 0.20100192677952558, -0.4295028719686336, -0.23345123694060124, 0.08739865063022093, 0.1371159705983058, 0.06392615089043194, -0.02045064895264023, -0.33188698067609873, 0.04571752259312393, -0.1858734666480572, -0.2223664883888893, 0.08770163318832645, 0.03759301989176474, 0.059847574674123834, -0.17771353303376256, 0.07582897636176485, -0.045013322506321375, 0.0982259729839666, -0.08510171223295059, -0.13078659719142777, -0.0036483733146288593, 0.11417550119323903, -0.04569989670445765, 0.09063699701149668, 0.2272862191670216, -0.1137413798043361, -0.02225649891701247, 0.39181925717845456, -0.06740007940289024, 0.026726218536365906, 0.28402450024085185, -0.2544759501690058, -0.25775706073451604, 0.2362876436770796, 0.1713908003721308, 0.11646510149072205, -0.16456085679298788, -0.007796805643824978, -0.07164998213480507, 0.2672035912429536, 0.04845092588566713, 0.10140310923778126, 0.3085310474002304, 0.1304640870059391, 0.04355029052716087, 0.14322643007731417, -0.3225390790649071, -0.0485219372390815, -0.19085348317712234, -0.0925760369746249, -0.16352144091298895, 0.12311161470671113, -0.08571406806360399, -0.053574010309717666, 0.3260247313273349, 0.047962356446688614, 0.1820218313093449, 0.0317569738026005, 0.3201709981988204, -0.014807242601360944, 0.12070710065048448, 0.08533741025436488, 0.3160397734792603, 0.16693795020236157, 0.1608770569522663, -0.24776878324988577, 0.021098021697904264, -0.01208960661873013] |
709.3418 | Spartan Random Processes in Time Series Modeling | A Spartan random process (SRP) is used to estimate the correlation structure
of time series and to predict (extrapolate) the data values. SRP's are
motivated from statistical physics, and they can be viewed as Ginzburg-Landau
models. The temporal correlations of the SRP are modeled in terms of
`interactions' between the field values. Model parameter inference employs the
computationally fast modified method of moments, which is based on matching
sample energy moments with the respective stochastic constraints. The
parameters thus inferred are then compared with those obtained by means of the
maximum likelihood method. The performance of the Spartan predictor (SP) is
investigated using real time series of the quarterly S&P 500 index. SP
prediction errors are compared with those of the Kolmogorov-Wiener predictor.
Two predictors, one of which explicit, are derived and used for extrapolation.
The performance of the predictors is similarly evaluated.
| physics.soc-ph physics.data-an | a spartan random process srp is used to estimate the correlation structure of time series and to predict extrapolate the data values srps are motivated from statistical physics and they can be viewed as ginzburglandau models the temporal correlations of the srp are modeled in terms of interactions between the field values model parameter inference employs the computationally fast modified method of moments which is based on matching sample energy moments with the respective stochastic constraints the parameters thus inferred are then compared with those obtained by means of the maximum likelihood method the performance of the spartan predictor sp is investigated using real time series of the quarterly sp 500 index sp prediction errors are compared with those of the kolmogorovwiener predictor two predictors one of which explicit are derived and used for extrapolation the performance of the predictors is similarly evaluated | [['a', 'spartan', 'random', 'process', 'srp', 'is', 'used', 'to', 'estimate', 'the', 'correlation', 'structure', 'of', 'time', 'series', 'and', 'to', 'predict', 'extrapolate', 'the', 'data', 'values', 'srps', 'are', 'motivated', 'from', 'statistical', 'physics', 'and', 'they', 'can', 'be', 'viewed', 'as', 'ginzburglandau', 'models', 'the', 'temporal', 'correlations', 'of', 'the', 'srp', 'are', 'modeled', 'in', 'terms', 'of', 'interactions', 'between', 'the', 'field', 'values', 'model', 'parameter', 'inference', 'employs', 'the', 'computationally', 'fast', 'modified', 'method', 'of', 'moments', 'which', 'is', 'based', 'on', 'matching', 'sample', 'energy', 'moments', 'with', 'the', 'respective', 'stochastic', 'constraints', 'the', 'parameters', 'thus', 'inferred', 'are', 'then', 'compared', 'with', 'those', 'obtained', 'by', 'means', 'of', 'the', 'maximum', 'likelihood', 'method', 'the', 'performance', 'of', 'the', 'spartan', 'predictor', 'sp', 'is', 'investigated', 'using', 'real', 'time', 'series', 'of', 'the', 'quarterly', 'sp', '500', 'index', 'sp', 'prediction', 'errors', 'are', 'compared', 'with', 'those', 'of', 'the', 'kolmogorovwiener', 'predictor', 'two', 'predictors', 'one', 'of', 'which', 'explicit', 'are', 'derived', 'and', 'used', 'for', 'extrapolation', 'the', 'performance', 'of', 'the', 'predictors', 'is', 'similarly', 'evaluated']] | [-0.05412798630455476, 0.05906031827908009, -0.09476817578404581, 0.12098810453034485, -0.03990245818883389, -0.11097726711215308, 0.031332267743007805, 0.3806354183234743, -0.2638085718312255, -0.36137727777623424, 0.12878293396458942, -0.2757795929967367, -0.10547499918628002, 0.21809717588015942, 0.003015695784527522, 0.07928817819700563, 0.034617385235973276, 0.05924471370367841, -0.06340732650548038, -0.23831287135656637, 0.2534022961866918, 0.0777892853960499, 0.2965802708998896, -0.051109574077377366, 0.07743180943148249, -0.007362549442315956, -0.06163344042492913, 0.05293308927879467, -0.07463311242148071, 0.14977644993500275, 0.21373244672900224, 0.12009738442012584, 0.24418543140286697, -0.4049833505574701, -0.20410856190935375, 0.07456006061937416, 0.08545313638669985, 0.04418628326278518, 0.021580992770459426, -0.2789409248536075, 0.07318293304553816, -0.14849888003379158, -0.06684086180350685, -0.10218202562878963, -0.031657306043515826, 0.0788351383900361, -0.36295502159257675, 0.10349460671349735, -0.009990284020745463, 0.060925201161184925, -0.0574229322732068, -0.17517392722958164, -0.028788154300015707, 0.13573662148319654, 0.08041194905718248, 0.0033788149818204916, 0.1146321145498513, -0.0897406708567983, -0.12751175553034796, 0.3765618333892597, -0.09363097560728763, -0.20973591587239213, 0.15439053312907894, -0.11935303385949114, -0.06891320604453241, 0.11342510156711186, 0.18777130222374613, 0.1118904647150344, -0.15770576253144228, 0.05514951404452754, 0.008755352944005411, 0.17889571497607584, 0.024832565405803336, -0.01528722629068302, 0.15199947551908818, 0.1681922804271164, -0.007584585489093007, 0.10960044214824358, -0.13832787415777964, -0.1010600971171984, -0.2592456030652865, -0.10693951073864644, -0.22070771578855655, -0.01964257811391531, -0.15129719091910246, -0.13560267650828392, 0.39589812085390663, 0.1706085120445, 0.2092327132586624, 0.10642778508241411, 0.267238927705513, 0.17892869167156855, 0.06832708300814241, 0.06622152569886115, 0.23304176053123457, 0.11738111319222286, 0.036791399492510965, -0.18955954975266193, 0.12512387778818398, 0.07430418961114817] |
709.3419 | Density modulo 1 of sublacunary sequences: application of Peres-Schlag's
arguments | Let the sequence
$\{t_n\}_{n=1}^{\infty}$ of reals satisfy the condition $ \frac{t_{n+1}}{t_n}
\ge 1+ \frac{\gamma}{n^\beta},0\le \beta <1, \gamma >0. $ Then the set $
\{\alpha \in [0,1]: \exists \varkappa > 0 \forall n \in \mathbb{N}
||t_n \alpha || > \frac{\varkappa}{n^\beta \log (n+1)} \} $ is uncountable.
Moreover its Hausdorff dimension is equal to 1.
Consider the set of naturals of the form $2^n3^m$ and let the sequence $
s_1=1, s_2=2, s_3=3, s_4=4, s_5=6, s_6 = 8,... $ performs this set as an
increasing sequence. Then the set $ \{\alpha \in [0,1]: \exists \varkappa > 0
\forall n \in \mathbb{N}
||s_n \alpha || > \frac{\varkappa}{\sqrt{n}\log (n+1)} \} $ also has
Hausdorff dimension equal to 1. The results obtained use an original approach
due to Y. Peres and W. Schlag.
| math.NT | let the sequence t_n_n1infty of reals satisfy the condition fract_n1t_n ge 1 fracgammanbeta0le beta 1 gamma 0 then the set alpha in 01 exists varkappa 0 forall n in mathbbn t_n alpha fracvarkappanbeta log n1 is uncountable moreover its hausdorff dimension is equal to 1 consider the set of naturals of the form 2n3m and let the sequence s_11 s_22 s_33 s_44 s_56 s_6 8 performs this set as an increasing sequence then the set alpha in 01 exists varkappa 0 forall n in mathbbn s_n alpha fracvarkappasqrtnlog n1 also has hausdorff dimension equal to 1 the results obtained use an original approach due to y peres and w schlag | [['let', 'the', 'sequence', 't_n_n1infty', 'of', 'reals', 'satisfy', 'the', 'condition', 'fract_n1t_n', 'ge', '1', 'fracgammanbeta0le', 'beta', '1', 'gamma', '0', 'then', 'the', 'set', 'alpha', 'in', '01', 'exists', 'varkappa', '0', 'forall', 'n', 'in', 'mathbbn', 't_n', 'alpha', 'fracvarkappanbeta', 'log', 'n1', 'is', 'uncountable', 'moreover', 'its', 'hausdorff', 'dimension', 'is', 'equal', 'to', '1', 'consider', 'the', 'set', 'of', 'naturals', 'of', 'the', 'form', '2n3m', 'and', 'let', 'the', 'sequence', 's_11', 's_22', 's_33', 's_44', 's_56', 's_6', '8', 'performs', 'this', 'set', 'as', 'an', 'increasing', 'sequence', 'then', 'the', 'set', 'alpha', 'in', '01', 'exists', 'varkappa', '0', 'forall', 'n', 'in', 'mathbbn', 's_n', 'alpha', 'fracvarkappasqrtnlog', 'n1', 'also', 'has', 'hausdorff', 'dimension', 'equal', 'to', '1', 'the', 'results', 'obtained', 'use', 'an', 'original', 'approach', 'due', 'to', 'y', 'peres', 'and', 'w', 'schlag']] | [-0.16651895602495925, 0.20859991083429105, 0.020996132666624867, 0.04550170641758669, 0.014863841814323537, -0.2164034588235313, 0.02223722101754319, 0.3301972987229746, -0.30467041425443103, -0.1903049261987354, 0.033304868957696895, -0.3985482826105599, -0.05543655361437682, 0.11951149322852059, -0.05692812521010637, 0.010524802613501591, -0.04993013007050941, 0.14410421971991225, -0.03354839883401122, -0.2756049195553167, 0.3013617527338866, -0.13508628021238497, 0.1409446230673602, -0.019961773051690418, 0.08359309728031308, -0.03082033787973822, 0.06426641250987655, -0.05412574493082114, -0.28973104900147006, 0.0018419595254422392, 0.24074693607817432, 0.17677812411639732, 0.3150665406680223, -0.2634708254950718, -0.10717772426156019, 0.24018187122871576, 0.22096944940321653, -0.134670199763066, 0.05455200055849205, -0.21681214498301732, 0.20831419859596897, -0.11401663715295603, -0.17340946559866582, -0.009291957254584843, 0.20264723576894664, -0.023652618624342297, -0.3739093942884175, 0.006648916938484565, 0.1564517944906522, 0.05728200904446319, -0.003534412962040927, -0.2270201282186922, -0.050340357724830365, 0.09231288447858567, 0.00397523157004701, 0.2071411685783018, 0.025049697353450345, 0.0002963449150432371, -0.09752005895427926, 0.32676305843390596, -0.07517177592601301, -0.2296297548845121, 0.06939368388498003, -0.24211608204375773, -0.17646215505246976, 0.1567393689398265, 0.00941390881610998, 0.14951289308176025, 0.021702047003415024, 0.2961112052209006, -0.0963077261474309, 0.2337790826127584, 0.15040707018099797, -0.0013290759044907337, 0.027219701287092515, 0.07658021025940577, 0.09806494131340708, 0.08915570072006905, -0.04085620420813126, 0.09290679179593125, -0.3571438164748613, -0.11969086593830759, -0.18987788686989943, 0.2222925388882642, -0.2013449485013058, -0.1301549213386855, 0.20971942312102224, 0.09742567648894145, 0.1907650984903386, 0.15775702182357246, 0.14728745600000676, 0.10580663122993994, -0.08351379501219676, 0.0764512476393754, 0.01644363313985681, 0.1827855518865354, -0.014179596505625156, -0.13664700448947045, -0.014109916130569085, 0.16195061025254934] |
709.342 | Co-Betweenness: A Pairwise Notion of Centrality | Betweenness centrality is a metric that seeks to quantify a sense of the
importance of a vertex in a network graph in terms of its "control" on the
distribution of information along geodesic paths throughout that network. This
quantity however does not capture how different vertices participate together
in such control. In order to allow for the uncovering of finer details in this
regard, we introduce here an extension of betweenness centrality to pairs of
vertices, which we term co-betweenness, that provides the basis for quantifying
various analogous pairwise notions of importance and control. More
specifically, we motivate and define a precise notion of co-betweenness, we
present an efficient algorithm for its computation, extending the algorithm of
Brandes in a natural manner, and we illustrate the utilization of this
co-betweenness on a handful of different communication networks. From these
real-world examples, we show that the co-betweenness allows one to identify
certain vertices which are not the most central vertices but which,
nevertheless, act as important actors in the relaying and dispatching of
information in the network.
| cs.NI physics.soc-ph | betweenness centrality is a metric that seeks to quantify a sense of the importance of a vertex in a network graph in terms of its control on the distribution of information along geodesic paths throughout that network this quantity however does not capture how different vertices participate together in such control in order to allow for the uncovering of finer details in this regard we introduce here an extension of betweenness centrality to pairs of vertices which we term cobetweenness that provides the basis for quantifying various analogous pairwise notions of importance and control more specifically we motivate and define a precise notion of cobetweenness we present an efficient algorithm for its computation extending the algorithm of brandes in a natural manner and we illustrate the utilization of this cobetweenness on a handful of different communication networks from these realworld examples we show that the cobetweenness allows one to identify certain vertices which are not the most central vertices but which nevertheless act as important actors in the relaying and dispatching of information in the network | [['betweenness', 'centrality', 'is', 'a', 'metric', 'that', 'seeks', 'to', 'quantify', 'a', 'sense', 'of', 'the', 'importance', 'of', 'a', 'vertex', 'in', 'a', 'network', 'graph', 'in', 'terms', 'of', 'its', 'control', 'on', 'the', 'distribution', 'of', 'information', 'along', 'geodesic', 'paths', 'throughout', 'that', 'network', 'this', 'quantity', 'however', 'does', 'not', 'capture', 'how', 'different', 'vertices', 'participate', 'together', 'in', 'such', 'control', 'in', 'order', 'to', 'allow', 'for', 'the', 'uncovering', 'of', 'finer', 'details', 'in', 'this', 'regard', 'we', 'introduce', 'here', 'an', 'extension', 'of', 'betweenness', 'centrality', 'to', 'pairs', 'of', 'vertices', 'which', 'we', 'term', 'cobetweenness', 'that', 'provides', 'the', 'basis', 'for', 'quantifying', 'various', 'analogous', 'pairwise', 'notions', 'of', 'importance', 'and', 'control', 'more', 'specifically', 'we', 'motivate', 'and', 'define', 'a', 'precise', 'notion', 'of', 'cobetweenness', 'we', 'present', 'an', 'efficient', 'algorithm', 'for', 'its', 'computation', 'extending', 'the', 'algorithm', 'of', 'brandes', 'in', 'a', 'natural', 'manner', 'and', 'we', 'illustrate', 'the', 'utilization', 'of', 'this', 'cobetweenness', 'on', 'a', 'handful', 'of', 'different', 'communication', 'networks', 'from', 'these', 'realworld', 'examples', 'we', 'show', 'that', 'the', 'cobetweenness', 'allows', 'one', 'to', 'identify', 'certain', 'vertices', 'which', 'are', 'not', 'the', 'most', 'central', 'vertices', 'but', 'which', 'nevertheless', 'act', 'as', 'important', 'actors', 'in', 'the', 'relaying', 'and', 'dispatching', 'of', 'information', 'in', 'the', 'network']] | [-0.14247875734806506, 0.06069346676915963, -0.09067489072913304, 0.06077199613289188, -0.10149557920257476, -0.11073769315044046, 0.06651248003816529, 0.3929008399983021, -0.27229079389904987, -0.2970665206667036, 0.04466169221665372, -0.2741317722764672, -0.19915150512348523, 0.14831355546431785, -0.10935684208958595, 0.022635906514055518, 0.07071433295178312, 0.08732034115051977, -0.012994623678175478, -0.22395956719149332, 0.33843545624606786, 0.05692172664831477, 0.25382773533717473, 0.09491314432340335, 0.10416058264672756, 0.03940075645434924, -0.05682006019874693, 0.05154002643394051, -0.13227219598461074, 0.173039467073977, 0.27929614101049083, 0.18278905989030714, 0.3099235960028388, -0.40547954704908823, -0.18410173657519574, 0.14924058203707152, 0.14739923885446676, 0.09206810069405368, -0.007421222850511681, -0.22698343871425922, 0.10244173956347037, -0.1803808402830989, -0.07406982920788736, -0.08860569332980296, 0.019652641161387277, 0.024661479784190924, -0.2521850469003601, 0.0049787261814344674, 0.0681144783156924, 0.04070754152383994, 0.003212294732127868, -0.0677899326613194, -0.025342409786720633, 0.17371000596375036, 0.0028035636972741818, 0.018293834012266332, 0.0939280939399561, -0.1331784082007785, -0.1617545152112143, 0.3858784792140465, 0.005074315406091046, -0.21121861710244874, 0.1810158119782996, -0.09511395130274733, -0.18067895849658686, 0.056724909494567495, 0.21800488810880447, 0.14211832610519856, -0.17312919421237893, 0.01811117775055622, -0.045539976219350305, 0.12160542771347206, 0.05272978845063004, 0.08716237765673379, 0.14231194962419316, 0.17395589014896276, 0.15216805340605788, 0.1459122808221516, -0.04739242424098351, -0.10888783580792899, -0.29155984916724265, -0.16719110545554114, -0.17514838640239427, 0.018146940011072067, -0.13673145586157756, -0.1594197906038475, 0.45282365747896786, 0.21480885660804977, 0.23155442808109167, 0.07197568447802703, 0.2724288575052263, 0.03757421267337949, 0.0787751865149899, 0.10992141643576113, 0.19154691230241125, 0.09302480901400982, 0.07102014826060357, -0.1765107882158852, 0.10642787189863157, 0.0584155788608107] |
709.3421 | Elaborations on the String Dual to N=1 SQCD | In this paper we make further refinements to the duality proposed between N=1
SQCD and certain string (supergravity plus branes) backgrounds, working in the
regime of comparable large number of colors and flavors. Using the string
theory solutions, we predict different field theory observables and phenomena
like Seiberg duality, gauge coupling and its running, the behavior of Wilson
and 't Hooft loops, anomalous dimensions of the quark superfields, quartic
superpotential coupling and its running, continuous and discrete anomaly
matching. We also give evidence for the smooth interpolation between higgsed
and confining vacua. We provide several matchings between field theory and
string theory computations.
| hep-th | in this paper we make further refinements to the duality proposed between n1 sqcd and certain string supergravity plus branes backgrounds working in the regime of comparable large number of colors and flavors using the string theory solutions we predict different field theory observables and phenomena like seiberg duality gauge coupling and its running the behavior of wilson and t hooft loops anomalous dimensions of the quark superfields quartic superpotential coupling and its running continuous and discrete anomaly matching we also give evidence for the smooth interpolation between higgsed and confining vacua we provide several matchings between field theory and string theory computations | [['in', 'this', 'paper', 'we', 'make', 'further', 'refinements', 'to', 'the', 'duality', 'proposed', 'between', 'n1', 'sqcd', 'and', 'certain', 'string', 'supergravity', 'plus', 'branes', 'backgrounds', 'working', 'in', 'the', 'regime', 'of', 'comparable', 'large', 'number', 'of', 'colors', 'and', 'flavors', 'using', 'the', 'string', 'theory', 'solutions', 'we', 'predict', 'different', 'field', 'theory', 'observables', 'and', 'phenomena', 'like', 'seiberg', 'duality', 'gauge', 'coupling', 'and', 'its', 'running', 'the', 'behavior', 'of', 'wilson', 'and', 't', 'hooft', 'loops', 'anomalous', 'dimensions', 'of', 'the', 'quark', 'superfields', 'quartic', 'superpotential', 'coupling', 'and', 'its', 'running', 'continuous', 'and', 'discrete', 'anomaly', 'matching', 'we', 'also', 'give', 'evidence', 'for', 'the', 'smooth', 'interpolation', 'between', 'higgsed', 'and', 'confining', 'vacua', 'we', 'provide', 'several', 'matchings', 'between', 'field', 'theory', 'and', 'string', 'theory', 'computations']] | [-0.1635623433111796, 0.2114887008425391, -0.09111887694831522, 0.14459326550323806, -0.09583984416439334, -0.19787225176272824, 0.06934288666850336, 0.3307438321361879, -0.16005901809673287, -0.32479777852597747, 0.060143837146913105, -0.27719049469242324, -0.18191346821818247, 0.056212243479360074, -0.04579204971929198, 0.05257838211153426, -0.025671847146546956, -0.0015044721875913912, -0.08175422828101996, -0.28417356699723206, 0.30823139206153677, -0.04059495273706259, 0.2585818740466917, 0.13197896101768297, 0.10690943659870948, -0.0015675127777515106, -0.008620022687590817, 0.00966399885460879, -0.12217960680735487, 0.09896029230406128, 0.20868350302707855, 0.06033957216129141, 0.0582581543300337, -0.47874612856692483, -0.17074842328992357, 0.11522973780022952, 0.16476009388960608, 0.11991413726100644, -0.02134156510577474, -0.25327374340821673, 0.036173992188990985, -0.16200102727353863, -0.13364583709236524, -0.13653943575401586, 0.009303948496133812, -0.0929548650894097, -0.2954134097847256, 0.011836663437543835, -0.036863046883844466, 0.07592341671381327, -0.008816070653480088, -0.06973121493932728, -0.03095218718721016, 0.0875575037320479, 0.19718874330643407, 0.07175949843401469, 0.07444025883541523, -0.2478545986034555, -0.19629879398000183, 0.3388560037987614, -0.0970345418176894, -0.1665144184902672, 0.19231711882528243, -0.13536312103325737, -0.1783921725107628, 0.04805687873631894, 0.10086257512979571, 0.16723634730908654, -0.07231837015562845, 0.24880067913203038, -0.027120452283800226, 0.10570398053534112, 0.15328540418351305, 0.06296170511038847, 0.23724809691346097, 0.0900578254978489, 0.031849368429602606, 0.11126941213727866, 0.006085419058754534, -0.13473796683535413, -0.45340660526371984, -0.08374686996696644, -0.08897474376954934, 0.04895407649082611, -0.22452513927701764, -0.17913923432453743, 0.3708153367675479, 0.13998200796381796, 0.1735006873993185, 0.09949821818340795, 0.18525065224870896, 0.08911452562665766, 0.06068651900780432, 0.05878228930195848, 0.2207072015074127, 0.21554338067738357, 0.11530192072946326, -0.2870915388909973, -0.1916972952442768, 0.2233430472772243] |
709.3422 | Constraining Newtonian stellar configurations in f(R) theories of
gravity | We consider general metric $f(R)$ theories of gravity by solving the field
equations in the presence of a spherical static mass distribution by analytical
perturbative means. Expanding the field equations systematically in $\cO(G)$,
we solve the resulting set of equations and show that $f(R)$ theories which
attempt to solve the dark energy problem very generally lead to
$\gamma_{PPN}=1/2$ in the solar system. This excludes a large class of theories
as possible explanations of dark energy. We also present the first order
correction to $\gamma_{PPN}$ and show that it cannot have a significant effect.
| astro-ph gr-qc | we consider general metric fr theories of gravity by solving the field equations in the presence of a spherical static mass distribution by analytical perturbative means expanding the field equations systematically in cog we solve the resulting set of equations and show that fr theories which attempt to solve the dark energy problem very generally lead to gamma_ppn12 in the solar system this excludes a large class of theories as possible explanations of dark energy we also present the first order correction to gamma_ppn and show that it cannot have a significant effect | [['we', 'consider', 'general', 'metric', 'fr', 'theories', 'of', 'gravity', 'by', 'solving', 'the', 'field', 'equations', 'in', 'the', 'presence', 'of', 'a', 'spherical', 'static', 'mass', 'distribution', 'by', 'analytical', 'perturbative', 'means', 'expanding', 'the', 'field', 'equations', 'systematically', 'in', 'cog', 'we', 'solve', 'the', 'resulting', 'set', 'of', 'equations', 'and', 'show', 'that', 'fr', 'theories', 'which', 'attempt', 'to', 'solve', 'the', 'dark', 'energy', 'problem', 'very', 'generally', 'lead', 'to', 'gamma_ppn12', 'in', 'the', 'solar', 'system', 'this', 'excludes', 'a', 'large', 'class', 'of', 'theories', 'as', 'possible', 'explanations', 'of', 'dark', 'energy', 'we', 'also', 'present', 'the', 'first', 'order', 'correction', 'to', 'gamma_ppn', 'and', 'show', 'that', 'it', 'can', 'not', 'have', 'a', 'significant', 'effect']] | [-0.12084502948013695, 0.07662479569184123, -0.09371119819741736, 0.11651712835651211, -0.08778722081533684, -0.10761045562904528, -0.01661411791248748, 0.29682422396276265, -0.22116774403720454, -0.37073545554472553, 0.046948558459388876, -0.21852992214663056, -0.15325669735489833, 0.14391101372017656, -0.037063066943383384, 0.02678411444949527, 0.013973971458292135, 0.024069394570805373, -0.07896247674943879, -0.22919660399327435, 0.37060315204003164, 0.04807530352795717, 0.21476501269799267, 0.04631130319709579, 0.09978051850652342, -0.071670538315209, 0.00794030059008829, 0.12158150525302977, -0.13715475273236596, 0.07134398352229587, 0.2237701947570488, 0.11070930167672134, 0.2449882004249801, -0.44187525551645984, -0.26491654926650626, 0.11993220056937907, 0.15099613794616312, 0.16433171134380128, -0.08211284406202775, -0.2526743523576247, 0.0733960004227977, -0.20666860468605514, -0.15252762917248952, -0.0743494157589251, 0.014089758600538937, -0.0172930439052883, -0.24923984498606735, 0.09394542368658397, 0.020904947360176392, -0.035108712842307425, -0.11220006553095675, -0.06448705283854837, 0.028609870605030528, 0.043039760547339594, 0.10789337859023362, 0.03082111276566021, 0.07724136050029468, -0.16811895318159092, -0.08774640194831355, 0.4301185071147898, -0.11187558707665972, -0.22845137160101164, 0.1470390506369132, -0.14954169972809733, -0.14629675385351942, 0.10467518978972509, 0.18072608341613122, 0.17856659761740154, -0.1696705474137699, 0.13734687263301262, -0.03800909098998834, 0.16055816031431638, 0.04837107193726365, 0.0019620419736520976, 0.24964588519025555, 0.09186877712597369, 0.043059798290512416, 0.12783777118930895, -0.05939861285370043, -0.10289272228418599, -0.3230211726359783, -0.14331592336016638, -0.09588626231397351, 0.06291304604836954, -0.09111742831369792, -0.17017935737166354, 0.3734698172618625, 0.1983025440700873, 0.12894635356121487, 0.05928748520717065, 0.26973710201119866, 0.15784451462374124, 0.0674486618191104, 0.08103307873831801, 0.2971539591308883, 0.12134935978739973, 0.07985013773194163, -0.24731369258495428, -0.027883770660327007, 0.07054814789444208] |
709.3423 | Molecular properties of (U)LIRGs: CO, HCN, HNC and HCO+ | The observed molecular properties of a sample of FIR-luminous and OH
megamaser (OH-MM) galaxies have been investigated. The ratio of high and
low-density tracer lines is found to be determined by the progression of the
star formation in the system. The HCO+/HCN and HCO+/HNC line ratios are good
proxies for the density of the gas, and PDR and XDR sources can be
distinguished using the HNC/HCN line ratio. The properties of the OH-MM sources
in the sample can be explained by PDR chemistry in gas with densities higher
than 10^5.5 cm^-3, confirming the classical OH-MM model of IR pumped
amplification with (variable) low gains.
| astro-ph | the observed molecular properties of a sample of firluminous and oh megamaser ohmm galaxies have been investigated the ratio of high and lowdensity tracer lines is found to be determined by the progression of the star formation in the system the hcohcn and hcohnc line ratios are good proxies for the density of the gas and pdr and xdr sources can be distinguished using the hnchcn line ratio the properties of the ohmm sources in the sample can be explained by pdr chemistry in gas with densities higher than 1055 cm3 confirming the classical ohmm model of ir pumped amplification with variable low gains | [['the', 'observed', 'molecular', 'properties', 'of', 'a', 'sample', 'of', 'firluminous', 'and', 'oh', 'megamaser', 'ohmm', 'galaxies', 'have', 'been', 'investigated', 'the', 'ratio', 'of', 'high', 'and', 'lowdensity', 'tracer', 'lines', 'is', 'found', 'to', 'be', 'determined', 'by', 'the', 'progression', 'of', 'the', 'star', 'formation', 'in', 'the', 'system', 'the', 'hcohcn', 'and', 'hcohnc', 'line', 'ratios', 'are', 'good', 'proxies', 'for', 'the', 'density', 'of', 'the', 'gas', 'and', 'pdr', 'and', 'xdr', 'sources', 'can', 'be', 'distinguished', 'using', 'the', 'hnchcn', 'line', 'ratio', 'the', 'properties', 'of', 'the', 'ohmm', 'sources', 'in', 'the', 'sample', 'can', 'be', 'explained', 'by', 'pdr', 'chemistry', 'in', 'gas', 'with', 'densities', 'higher', 'than', '1055', 'cm3', 'confirming', 'the', 'classical', 'ohmm', 'model', 'of', 'ir', 'pumped', 'amplification', 'with', 'variable', 'low', 'gains']] | [-0.06542272828813209, 0.08203125427685028, -0.016127533311006224, 0.04644428554908779, 0.052490298398906024, -0.07942379353278615, 0.056963727633170425, 0.42237351769671855, -0.13232810141572965, -0.3619834316614111, 0.06338343327046707, -0.2590838298201561, 0.0013788096896074351, 0.15474850388506012, 0.004558466456251816, -0.0190827504650337, -0.03281199631000896, -0.09517429703710945, -0.035577964521402, -0.22521627310536874, 0.2501834181942118, 0.12713376356704723, 0.23774057708101945, 0.03866685231586973, 0.033879128881522176, -0.16645082166572148, -0.03015220672280971, 0.016658561421757184, -0.13740195176175352, 0.07297734285080895, 0.2631856235517279, 0.10404839488062827, 0.15340113140262882, -0.36698185525158106, -0.27180630410795364, 0.06738730723002148, 0.18063106795194225, 0.03731536767129036, -0.020554951676936113, -0.253674574105919, 0.08069328103413426, -0.16270636419259302, -0.15330634214598865, 0.06563980572233066, 0.009655690634424247, 0.09716317910267022, -0.2366879876449849, 0.14126236865170372, -0.022556571052545337, 0.11878735054899188, -0.06317350496447564, -0.15742576006885836, -0.08952519955854972, 0.06949256728990998, -0.014455873314607707, 0.06235840941499014, 0.24572915879521265, -0.16536129152942539, -0.023834612139148042, 0.41610454290526583, -0.1362673881339662, -0.05186734916455818, 0.23678969490585974, -0.21184365478461809, -0.13872269586687094, 0.219571400370485, 0.109096746073439, 0.11806033600519583, -0.126331737061264, -0.019382841293123614, -0.03464191330221563, 0.18882989373455927, 0.036268148810864945, 0.07134411390213855, 0.2801238153970719, 0.08231086887473475, -0.016259664866295688, 0.12013904013031262, -0.18768182919514412, -0.05670403504237822, -0.18924232938516777, -0.154336556303993, -0.13256859672436652, 0.05476595312854257, -0.12004301856083736, -0.05861372660135724, 0.2964176291111604, 0.06210915381891328, 0.24099231781257155, -0.0120480822566535, 0.27639669581379706, 0.17636501772817478, 0.0747442732528937, 0.10531333353352344, 0.2939608406266469, 0.20927954239553762, 0.04501408845801087, -0.278578195725432, 0.14136104507245195, -0.018728604722198425] |
709.3424 | Lattice exciton-polaron problem by quantum Monte Carlo simulations | Exciton-polaron formation in one-dimensional lattice models with short or
long-range carrier-phonon interaction is studied by quantum Monte Carlo
simulations. Depending on the relative sign of electron and hole-phonon
coupling, the exciton-polaron size increases or decreases with increasing
interaction strength. Quantum phonon fluctuations determine the
(exciton-)polaron size and yield translation-invariant states at all finite
couplings.
| cond-mat.str-el | excitonpolaron formation in onedimensional lattice models with short or longrange carrierphonon interaction is studied by quantum monte carlo simulations depending on the relative sign of electron and holephonon coupling the excitonpolaron size increases or decreases with increasing interaction strength quantum phonon fluctuations determine the excitonpolaron size and yield translationinvariant states at all finite couplings | [['excitonpolaron', 'formation', 'in', 'onedimensional', 'lattice', 'models', 'with', 'short', 'or', 'longrange', 'carrierphonon', 'interaction', 'is', 'studied', 'by', 'quantum', 'monte', 'carlo', 'simulations', 'depending', 'on', 'the', 'relative', 'sign', 'of', 'electron', 'and', 'holephonon', 'coupling', 'the', 'excitonpolaron', 'size', 'increases', 'or', 'decreases', 'with', 'increasing', 'interaction', 'strength', 'quantum', 'phonon', 'fluctuations', 'determine', 'the', 'excitonpolaron', 'size', 'and', 'yield', 'translationinvariant', 'states', 'at', 'all', 'finite', 'couplings']] | [-0.16328291615678203, 0.34752994453258534, 0.014070508510081304, 0.07281757064413762, 0.019926821666390256, -0.19246345449721924, 0.012070560163852793, 0.3900241937350344, -0.26759454759734647, -0.2674567000595508, -0.028081224776407773, -0.35724748195045525, -0.03419907449710148, 0.11653112779647389, 0.1465475615458908, -0.0014261073191408759, 0.060254262885320244, -0.009460320420287273, -0.1084753804283941, -0.23882006898660352, 0.25794393037169894, 0.08994380099681655, 0.2940210201260116, 0.17185552951155436, 0.039404705753205, 0.11527854848342638, 0.056365411832100816, -0.013909450180276676, -0.20252051227726042, -0.0024101788628656693, 0.17287054910256874, -0.12557757256932003, 0.22233348817530055, -0.43013914112277607, -0.2077287453123265, 0.0916555470407561, 0.17642127098170696, 0.1859033784734223, -0.023041544682604984, -0.2586133412551135, -0.0028468285238853206, -0.19254746612299373, -0.12908561182794748, -0.028371684632643505, 0.031809214856130655, 0.08090227735401304, -0.2684194497695124, 0.13068658004825315, -0.006578494461993816, 0.08889994416730823, -0.02387981342703656, -0.10027988017019299, -0.07295740493228314, 0.0667999605066143, 0.043367442237299485, 0.03208244284959855, 0.17737820903184237, -0.13296347494340605, -0.14455644050785513, 0.33861707326852614, -0.0830887659513219, -0.16990315796876396, 0.246577144358997, -0.12801593751646578, -0.029830024563125335, 0.18549430319021834, 0.12349407302422656, 0.06847638512651126, -0.036854217415330584, 0.14682366740156863, 0.10207247497789838, 0.21628787128321603, 0.01763809511989907, 0.0918544782023808, 0.20290742198833162, 0.1605161549264772, 0.027098052652069816, 0.1298780578136858, -0.08516031930344913, -0.2160802577984416, -0.2080669107295021, -0.061145243562619994, -0.24749358816080969, 0.09344185991385193, -0.14750342291760413, -0.19583774884921257, 0.3388797289312438, 0.1478676858198553, 0.17921682119507482, 0.03093801777706378, 0.21369989668191583, 0.15649164131739074, 0.08374729054910993, 0.02163753937067533, 0.23125515616050474, 0.18368232462779377, -0.001421914543715064, -0.40130785953563947, 0.09492774879456395, 0.05047655018494913] |
709.3425 | The complexity of the envelope of line and plane arrangements | A facet of an hyperplane arrangement is called external if it belongs to
exactly one bounded cell. The set of all external facets forms the envelope of
the arrangement. The number of external facets of a simple arrangement defined
by $n$ hyperplanes in dimension $d$ is hypothesized to be at least $d{n-2
\choose d-1}$. In this note we show that, for simple arrangements of 4 lines or
more, the minimum number of external facets is equal to $2(n-1)$, and for
simple arrangements of 5 planes or more, the minimum number of external facets
is between $\frac{n(n-2)+6}{3}$ and $(n-4)(2n-3)+5$.
| math.MG | a facet of an hyperplane arrangement is called external if it belongs to exactly one bounded cell the set of all external facets forms the envelope of the arrangement the number of external facets of a simple arrangement defined by n hyperplanes in dimension d is hypothesized to be at least dn2 choose d1 in this note we show that for simple arrangements of 4 lines or more the minimum number of external facets is equal to 2n1 and for simple arrangements of 5 planes or more the minimum number of external facets is between fracnn263 and n42n35 | [['a', 'facet', 'of', 'an', 'hyperplane', 'arrangement', 'is', 'called', 'external', 'if', 'it', 'belongs', 'to', 'exactly', 'one', 'bounded', 'cell', 'the', 'set', 'of', 'all', 'external', 'facets', 'forms', 'the', 'envelope', 'of', 'the', 'arrangement', 'the', 'number', 'of', 'external', 'facets', 'of', 'a', 'simple', 'arrangement', 'defined', 'by', 'n', 'hyperplanes', 'in', 'dimension', 'd', 'is', 'hypothesized', 'to', 'be', 'at', 'least', 'dn2', 'choose', 'd1', 'in', 'this', 'note', 'we', 'show', 'that', 'for', 'simple', 'arrangements', 'of', '4', 'lines', 'or', 'more', 'the', 'minimum', 'number', 'of', 'external', 'facets', 'is', 'equal', 'to', '2n1', 'and', 'for', 'simple', 'arrangements', 'of', '5', 'planes', 'or', 'more', 'the', 'minimum', 'number', 'of', 'external', 'facets', 'is', 'between', 'fracnn263', 'and', 'n42n35']] | [-0.19734447107718248, 0.1401149376823317, 0.014946770495347058, -0.010043143633083673, -0.0662058246283171, -0.16973062801601677, 0.029663266381248832, 0.37246348112724564, -0.26679510761944886, -0.29169054989082116, 0.0514184328179302, -0.30261380872495164, -0.13540036764122002, 0.1355258231027013, -0.06328503783151973, -0.05939794657751918, -0.01996542140841484, 0.09067962497647386, 0.0064250375410968745, -0.32218393561197445, 0.32343744645671296, -0.0313019139575772, 0.21459329189989754, 0.031865879752634406, 0.08523573669663165, 0.03438853188223826, 0.08653266919524565, 0.06839061359642074, -0.102004850237563, 0.15354237619612832, 0.2097539962948455, 0.15482329943188233, 0.21175856049133776, -0.4034554655663669, -0.12707003254521018, 0.15359778288014544, 0.1492197339927467, 0.06449710629143131, 0.034101295491988516, -0.1291620977669178, 0.12077830152217454, -0.08163761562900618, -0.23576027347977893, 0.03489174372710598, 0.11188603788226222, 0.00037256912522328395, -0.27339932560183416, -0.032588904131747164, 0.10469735536025837, 0.14573046230361797, 0.0029645079436401525, -0.12801011441236673, -0.05965367480772935, 0.08007936821741168, -0.03211350132672427, 0.06017803380382247, 0.10433054569875821, -0.09986577514549329, -0.11154123498514916, 0.39218810180803604, 0.058291773399105296, -0.26168751848551136, 0.20394075415485227, -0.1786062305491214, -0.08033250082128991, 0.17734467018938935, 0.13069962583540473, 0.1221928012673743, -0.07937011790151398, 0.08029041404248953, -0.0855284474673681, 0.16812976026752344, 0.1660211855196394, -0.017314041089169525, 0.17304719108506106, 0.10618998043355532, 0.15008879948679046, 0.1840630915363969, -0.03502249843829001, -0.008129200426386282, -0.33174273224237066, -0.1909675361966947, -0.22615333109206404, 0.06450409892568132, -0.12479979633129308, -0.1713015139005923, 0.3457121940785631, 0.06103611433839736, 0.24746756383683532, -0.0054300382325891405, 0.22433780065815276, 0.031645270005204416, 0.06279694061474099, 0.07077750602911692, 0.14095005334820598, 0.12380567321330697, -0.04721371970178249, -0.16874898479242498, 0.04780340435778877, 0.0977755031446274] |
709.3426 | Raman imaging and electronic properties of graphene | Graphite is a well-studied material with known electronic and optical
properties. Graphene, on the other hand, which is just one layer of carbon
atoms arranged in a hexagonal lattice, has been studied theoretically for quite
some time but has only recently become accessible for experiments. Here we
demonstrate how single- and multi-layer graphene can be unambiguously
identified using Raman scattering. Furthermore, we use a scanning Raman set-up
to image few-layer graphene flakes of various heights. In transport experiments
we measure weak localization and conductance fluctuations in a graphene flake
of about 7 monolayer thickness. We obtain a phase-coherence length of about 2
$\mu$m at a temperature of 2 K. Furthermore we investigate the conductivity
through single-layer graphene flakes and the tuning of electron and hole
densities via a back gate.
| cond-mat.mes-hall | graphite is a wellstudied material with known electronic and optical properties graphene on the other hand which is just one layer of carbon atoms arranged in a hexagonal lattice has been studied theoretically for quite some time but has only recently become accessible for experiments here we demonstrate how single and multilayer graphene can be unambiguously identified using raman scattering furthermore we use a scanning raman setup to image fewlayer graphene flakes of various heights in transport experiments we measure weak localization and conductance fluctuations in a graphene flake of about 7 monolayer thickness we obtain a phasecoherence length of about 2 mum at a temperature of 2 k furthermore we investigate the conductivity through singlelayer graphene flakes and the tuning of electron and hole densities via a back gate | [['graphite', 'is', 'a', 'wellstudied', 'material', 'with', 'known', 'electronic', 'and', 'optical', 'properties', 'graphene', 'on', 'the', 'other', 'hand', 'which', 'is', 'just', 'one', 'layer', 'of', 'carbon', 'atoms', 'arranged', 'in', 'a', 'hexagonal', 'lattice', 'has', 'been', 'studied', 'theoretically', 'for', 'quite', 'some', 'time', 'but', 'has', 'only', 'recently', 'become', 'accessible', 'for', 'experiments', 'here', 'we', 'demonstrate', 'how', 'single', 'and', 'multilayer', 'graphene', 'can', 'be', 'unambiguously', 'identified', 'using', 'raman', 'scattering', 'furthermore', 'we', 'use', 'a', 'scanning', 'raman', 'setup', 'to', 'image', 'fewlayer', 'graphene', 'flakes', 'of', 'various', 'heights', 'in', 'transport', 'experiments', 'we', 'measure', 'weak', 'localization', 'and', 'conductance', 'fluctuations', 'in', 'a', 'graphene', 'flake', 'of', 'about', '7', 'monolayer', 'thickness', 'we', 'obtain', 'a', 'phasecoherence', 'length', 'of', 'about', '2', 'mum', 'at', 'a', 'temperature', 'of', '2', 'k', 'furthermore', 'we', 'investigate', 'the', 'conductivity', 'through', 'singlelayer', 'graphene', 'flakes', 'and', 'the', 'tuning', 'of', 'electron', 'and', 'hole', 'densities', 'via', 'a', 'back', 'gate']] | [-0.12568057579740596, 0.14461376843257592, -0.05466978839025474, -0.025837510908380722, 0.01254596313318381, -0.19783699239532535, 0.11200431154037897, 0.49637886537955356, -0.2774043896665367, -0.2715821684123232, 0.039891300369233176, -0.3294786768750502, -0.15981732058840303, 0.2204575716285035, 0.037647612016791336, 0.05993889073053232, 0.015202554390550805, -0.060338923191794985, -0.06738015565430172, -0.22892605842879185, 0.2426574213931767, 0.05319022202434448, 0.30518691669791365, 0.12950422167419814, 0.059272199500208865, -0.004218870218699941, 0.10636425726832105, 0.055753266302725445, -0.18038138064842385, 0.08126003933497346, 0.21792433610580003, -0.12736704479723882, 0.20811753569242472, -0.4811073096182484, -0.2325098870680309, -0.022169975362395726, 0.14717806526280652, 0.1820433698155774, -0.07429043497048461, -0.23525491434221085, 0.09632938659678285, -0.09829780448657963, -0.07036792654544115, -0.07094771860239024, 0.012307891385773054, -0.03386519149733851, -0.19553891211533203, 0.0505238291556732, 0.00733297448605299, 0.07912244925436636, -0.06749279350579644, -0.11738839943964895, -0.0862363011083709, 0.06932078773299089, 0.007662281467436025, -0.007790527027100325, 0.24240813951652784, -0.11477948252040034, -0.10310378957969638, 0.3824206744678892, -0.06860588256699535, -0.0899509880763407, 0.18225480498960958, -0.18424464881670877, -0.053833979948495446, 0.12080325124642023, 0.10416029887273907, 0.1391828615612422, -0.16769547068576615, 0.07160067399739861, -0.08565129725835645, 0.22290097820178534, 0.17269914435007824, 0.10107820131457769, 0.22317324955589496, 0.24014325201368103, 0.03424018836365296, 0.16655802779714576, -0.18008431777393874, 0.05215863042797607, -0.1593819358242819, -0.1903655104715234, -0.2233244852324088, 0.12526151480224842, -0.047569601573923134, -0.17949541946156666, 0.42743954062461853, 0.14466375486495403, 0.22301085099148063, -0.04739936055311073, 0.25594670739597997, 0.09144385869686421, 0.10655750053881023, -0.011295487326032553, 0.24951785026462928, 0.16616155855635253, 0.09389432982145361, -0.18791007004463328, 0.035927206062926695, -0.01399248947496884] |
709.3427 | Mutual information for the selection of relevant variables in
spectrometric nonlinear modelling | Data from spectrophotometers form vectors of a large number of exploitable
variables. Building quantitative models using these variables most often
requires using a smaller set of variables than the initial one. Indeed, a too
large number of input variables to a model results in a too large number of
parameters, leading to overfitting and poor generalization abilities. In this
paper, we suggest the use of the mutual information measure to select variables
from the initial set. The mutual information measures the information content
in input variables with respect to the model output, without making any
assumption on the model that will be used; it is thus suitable for nonlinear
modelling. In addition, it leads to the selection of variables among the
initial set, and not to linear or nonlinear combinations of them. Without
decreasing the model performances compared to other variable projection
methods, it allows therefore a greater interpretability of the results.
| cs.LG cs.NE stat.AP | data from spectrophotometers form vectors of a large number of exploitable variables building quantitative models using these variables most often requires using a smaller set of variables than the initial one indeed a too large number of input variables to a model results in a too large number of parameters leading to overfitting and poor generalization abilities in this paper we suggest the use of the mutual information measure to select variables from the initial set the mutual information measures the information content in input variables with respect to the model output without making any assumption on the model that will be used it is thus suitable for nonlinear modelling in addition it leads to the selection of variables among the initial set and not to linear or nonlinear combinations of them without decreasing the model performances compared to other variable projection methods it allows therefore a greater interpretability of the results | [['data', 'from', 'spectrophotometers', 'form', 'vectors', 'of', 'a', 'large', 'number', 'of', 'exploitable', 'variables', 'building', 'quantitative', 'models', 'using', 'these', 'variables', 'most', 'often', 'requires', 'using', 'a', 'smaller', 'set', 'of', 'variables', 'than', 'the', 'initial', 'one', 'indeed', 'a', 'too', 'large', 'number', 'of', 'input', 'variables', 'to', 'a', 'model', 'results', 'in', 'a', 'too', 'large', 'number', 'of', 'parameters', 'leading', 'to', 'overfitting', 'and', 'poor', 'generalization', 'abilities', 'in', 'this', 'paper', 'we', 'suggest', 'the', 'use', 'of', 'the', 'mutual', 'information', 'measure', 'to', 'select', 'variables', 'from', 'the', 'initial', 'set', 'the', 'mutual', 'information', 'measures', 'the', 'information', 'content', 'in', 'input', 'variables', 'with', 'respect', 'to', 'the', 'model', 'output', 'without', 'making', 'any', 'assumption', 'on', 'the', 'model', 'that', 'will', 'be', 'used', 'it', 'is', 'thus', 'suitable', 'for', 'nonlinear', 'modelling', 'in', 'addition', 'it', 'leads', 'to', 'the', 'selection', 'of', 'variables', 'among', 'the', 'initial', 'set', 'and', 'not', 'to', 'linear', 'or', 'nonlinear', 'combinations', 'of', 'them', 'without', 'decreasing', 'the', 'model', 'performances', 'compared', 'to', 'other', 'variable', 'projection', 'methods', 'it', 'allows', 'therefore', 'a', 'greater', 'interpretability', 'of', 'the', 'results']] | [-0.06854725681784514, 0.0646430146083922, -0.09189894498252359, 0.07778825038449692, -0.11490991923308588, -0.1324844455724049, 0.093908979414999, 0.34254394813538774, -0.2812135232846853, -0.34713549594476045, 0.12179041970950111, -0.2777439023899014, -0.11276685520792135, 0.20363406722562535, -0.09234188778301407, 0.07188990042854321, 0.0902134111292023, 0.061117922654375434, -0.051650709976552446, -0.2624431747704205, 0.31202347412104964, 0.04392608755121106, 0.261831504887117, -0.06183155747375598, 0.1059489219815556, 0.018437107721590445, -0.06628415383104432, 0.05410330703843532, -0.060985986462966185, 0.14288472785454742, 0.23306453328282978, 0.17746698218826695, 0.3169061100527056, -0.4095016922081796, -0.19886936527281682, 0.15296951879894263, 0.09272154617409749, 0.12800847455908201, 0.023613285756590285, -0.2288943217748678, 0.0663996289532454, -0.1499039827201494, -0.0999242287239452, -0.10966487122258466, 0.01226964952748906, 0.03673444794932086, -0.3374769377895925, 0.04809301658717327, 0.06118706794529173, 0.029401220430755576, -0.040281949719907346, -0.1321674842742811, -0.04205619724081388, 0.12654360944533868, 0.06995377231138072, 0.03942173671844342, 0.09339574386831373, -0.17056273285293413, -0.05752963211240345, 0.36403641381644103, -0.046462590567707115, -0.2831176748180664, 0.23676909161976686, -0.12808287118586073, -0.12471139251321897, 0.11106176065253462, 0.1978105125431045, 0.09225729036437483, -0.1671717345889192, -0.0003920656056020801, -0.02282266860588846, 0.23431877663824707, 0.031207740827659636, 0.07663981160026435, 0.18495275113290469, 0.1603278079021134, 0.051702026055672354, 0.1349285905870554, -0.06889114093102858, -0.07901920275961809, -0.28135696172983826, -0.12245324798124402, -0.18898878912563974, 0.011103118759197778, -0.14241994933074334, -0.15276377249852216, 0.3676607773783249, 0.22842859308002517, 0.24994791086187193, 0.04646171888606133, 0.2978195204938713, 0.09059446892426518, 0.11392794616633757, 0.06068335805933824, 0.17540812965997152, 0.1180318089931174, 0.06055238490348289, -0.16612653308747163, 0.12580834802448457, 0.008961321093681219] |
709.3428 | Bulk antisymmetric tensor fields in a Randall-Sundrum model | We consider bulk antisymmetric tensor fields of various ranks in a
Randall-Sundrum scenario. We show that, rank-2 onwards, the zero-modes of the
projections of these fields on the (3+1) dimensional visible brane become
increasingly weaker as the rank of the tensor increases. All such tensor fields
of rank 4 or more are absent from the dynamics in four dimensions. This leaves
only the zero-mode graviton to have coupling $\sim 1/M_P$ with matter, thus
explaining why the large-scale behaviour of the universe is governed by gravity
only. We have also computed the masses of the heavier modes upto rank-3, and
shown that they are relatively less likely to have detectable accelerator
signals.
| hep-th hep-ph | we consider bulk antisymmetric tensor fields of various ranks in a randallsundrum scenario we show that rank2 onwards the zeromodes of the projections of these fields on the 31 dimensional visible brane become increasingly weaker as the rank of the tensor increases all such tensor fields of rank 4 or more are absent from the dynamics in four dimensions this leaves only the zeromode graviton to have coupling sim 1m_p with matter thus explaining why the largescale behaviour of the universe is governed by gravity only we have also computed the masses of the heavier modes upto rank3 and shown that they are relatively less likely to have detectable accelerator signals | [['we', 'consider', 'bulk', 'antisymmetric', 'tensor', 'fields', 'of', 'various', 'ranks', 'in', 'a', 'randallsundrum', 'scenario', 'we', 'show', 'that', 'rank2', 'onwards', 'the', 'zeromodes', 'of', 'the', 'projections', 'of', 'these', 'fields', 'on', 'the', '31', 'dimensional', 'visible', 'brane', 'become', 'increasingly', 'weaker', 'as', 'the', 'rank', 'of', 'the', 'tensor', 'increases', 'all', 'such', 'tensor', 'fields', 'of', 'rank', '4', 'or', 'more', 'are', 'absent', 'from', 'the', 'dynamics', 'in', 'four', 'dimensions', 'this', 'leaves', 'only', 'the', 'zeromode', 'graviton', 'to', 'have', 'coupling', 'sim', '1m_p', 'with', 'matter', 'thus', 'explaining', 'why', 'the', 'largescale', 'behaviour', 'of', 'the', 'universe', 'is', 'governed', 'by', 'gravity', 'only', 'we', 'have', 'also', 'computed', 'the', 'masses', 'of', 'the', 'heavier', 'modes', 'upto', 'rank3', 'and', 'shown', 'that', 'they', 'are', 'relatively', 'less', 'likely', 'to', 'have', 'detectable', 'accelerator', 'signals']] | [-0.16087057803304414, 0.23976031073310353, -0.023857435521980126, 0.10683795949234418, -0.05242160599057873, -0.13719018458531382, -0.07391106538256412, 0.3402763391920441, -0.1921547581399749, -0.28466115625961136, 0.11380453111062683, -0.2735280267373021, -0.1454745090801504, 0.1480390762968979, 0.022769162796337058, -0.04845617541430837, -0.01232852482841023, 0.08918223177242252, -0.06409598328278039, -0.2839951898990753, 0.37297600612614873, 0.030317202688673058, 0.23814670470446717, 0.027697427814977395, 0.06951940576503943, -0.056000230391300074, -0.024440903262747032, 0.029996301798435213, -0.04664832213539567, 0.09303381822915194, 0.22038309449363533, 0.09334807037501722, 0.19497779116185532, -0.42408671960033273, -0.19539841536017186, 0.1437197369565298, 0.16763121777566503, 0.12211296268579391, -0.0406236593221652, -0.2599271290457329, 0.10767810443114187, -0.18169210181017784, -0.11934324035521697, -0.08644934597232186, 0.015464507175508785, -0.11707105594980824, -0.21035949092123424, 0.11086704311152995, 0.02924320397810457, 0.032306230740269296, -0.07312876030567798, -0.16920923052286427, -0.09491168077183501, 0.06193836090188507, 0.14168053894903646, -0.007547557280558321, 0.1261768704909529, -0.18920348992190789, -0.09687346111362179, 0.3902722737869365, -0.08326192806382571, -0.17692477184742153, 0.2139511450638508, -0.19541672114198944, -0.12623713629216435, 0.12103287555772375, 0.1640532659031115, 0.13897020347166789, -0.09703074177089441, 0.12857468724450064, -0.01910597233621924, 0.15594249205907118, 0.11987608454718783, 0.0741885869117739, 0.24981119713603375, 0.09064676882783035, 0.03536851315440291, 0.08823281274856748, -0.05023377621965902, -0.06244708378044133, -0.297720517100544, -0.1379759466372061, -0.15486089428068717, 0.0632809549234472, -0.12331086815833554, -0.16263425343136118, 0.38907913259715093, 0.12609303431524602, 0.17559717740886635, 0.03931111012593851, 0.24839143418111242, 0.07814157900226361, 0.13856473443861883, 0.10471290015607132, 0.33301844916029555, 0.156900924355681, 0.08001127919845015, -0.16051861522761215, -0.04199833869472616, 0.03221127248646037] |
709.3429 | Weak and strong coupling limits of the two-dimensional Fr\"ohlich
polaron with spin-orbit Rashba interaction | The continuous progress in fabricating low-dimensional systems with large
spin-orbit couplings has reached a point in which nowadays materials may
display spin-orbit splitting energies ranging from a few to hundreds of meV.
This situation calls for a better understanding of the interplay between the
spin-orbit coupling and other interactions ubiquitously present in solids, in
particular when the spin-orbit splitting is comparable in magnitude with
characteristic energy scales such as the Fermi energy and the phonon frequency.
In this article, the two-dimensional Fr\"ohlich electron-phonon problem is
reformulated by introducing the coupling to a spin-orbit Rashba potential,
allowing for a description of the spin-orbit effects on the electron-phonon
interaction. The ground state of the resulting Fr\"ohlich-Rashba polaron is
studied in the weak and strong coupling limits of the electron-phonon
interaction for arbitrary values of the spin-orbit splitting. The weak coupling
case is studied within the Rayleigh-Schr\"odinger perturbation theory, while
the strong-coupling electron-phonon regime is investigated by means of
variational polaron wave functions in the adiabatic limit. It is found that,
for both weak and strong coupling polarons, the ground state energy is
systematically lowered by the spin-orbit interaction, indicating that the
polaronic character is strengthened by the Rashba coupling. It is also shown
that, consistently with the lowering of the ground state, the polaron effective
mass is enhanced compared to the zero spin-orbit limit. Finally, it is argued
that the crossover between weakly and strongly coupled polarons can be shifted
by the spin-orbit interaction.
| cond-mat.str-el | the continuous progress in fabricating lowdimensional systems with large spinorbit couplings has reached a point in which nowadays materials may display spinorbit splitting energies ranging from a few to hundreds of mev this situation calls for a better understanding of the interplay between the spinorbit coupling and other interactions ubiquitously present in solids in particular when the spinorbit splitting is comparable in magnitude with characteristic energy scales such as the fermi energy and the phonon frequency in this article the twodimensional frohlich electronphonon problem is reformulated by introducing the coupling to a spinorbit rashba potential allowing for a description of the spinorbit effects on the electronphonon interaction the ground state of the resulting frohlichrashba polaron is studied in the weak and strong coupling limits of the electronphonon interaction for arbitrary values of the spinorbit splitting the weak coupling case is studied within the rayleighschrodinger perturbation theory while the strongcoupling electronphonon regime is investigated by means of variational polaron wave functions in the adiabatic limit it is found that for both weak and strong coupling polarons the ground state energy is systematically lowered by the spinorbit interaction indicating that the polaronic character is strengthened by the rashba coupling it is also shown that consistently with the lowering of the ground state the polaron effective mass is enhanced compared to the zero spinorbit limit finally it is argued that the crossover between weakly and strongly coupled polarons can be shifted by the spinorbit interaction | [['the', 'continuous', 'progress', 'in', 'fabricating', 'lowdimensional', 'systems', 'with', 'large', 'spinorbit', 'couplings', 'has', 'reached', 'a', 'point', 'in', 'which', 'nowadays', 'materials', 'may', 'display', 'spinorbit', 'splitting', 'energies', 'ranging', 'from', 'a', 'few', 'to', 'hundreds', 'of', 'mev', 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709.343 | The irradiated ISM of ULIRGs | The nuclei of ULIRGs harbor massive young stars, an accreting central black
hole, or both. Results are presented for molecular gas that is exposed to
X-rays (1-100 keV, XDRs) and far-ultraviolet radiation (6-13.6 eV, PDRs).
Attention is paid to species like HCO+, HCN, HNC, OH, H2O and CO. Line ratios
of HCN/HCO+ and HNC/HCN discriminate between PDRs and XDRs. Very high J (>10)
CO lines, observable with HIFI/Herschel, discriminate very well between XDRs
and PDRs. In XDRs, it is easy to produce large abundances of warm (T>100 K) H2O
and OH. In PDRs, only OH is produced similarly well.
| astro-ph | the nuclei of ulirgs harbor massive young stars an accreting central black hole or both results are presented for molecular gas that is exposed to xrays 1100 kev xdrs and farultraviolet radiation 6136 ev pdrs attention is paid to species like hco hcn hnc oh h2o and co line ratios of hcnhco and hnchcn discriminate between pdrs and xdrs very high j 10 co lines observable with hifiherschel discriminate very well between xdrs and pdrs in xdrs it is easy to produce large abundances of warm t100 k h2o and oh in pdrs only oh is produced similarly well | [['the', 'nuclei', 'of', 'ulirgs', 'harbor', 'massive', 'young', 'stars', 'an', 'accreting', 'central', 'black', 'hole', 'or', 'both', 'results', 'are', 'presented', 'for', 'molecular', 'gas', 'that', 'is', 'exposed', 'to', 'xrays', '1100', 'kev', 'xdrs', 'and', 'farultraviolet', 'radiation', '6136', 'ev', 'pdrs', 'attention', 'is', 'paid', 'to', 'species', 'like', 'hco', 'hcn', 'hnc', 'oh', 'h2o', 'and', 'co', 'line', 'ratios', 'of', 'hcnhco', 'and', 'hnchcn', 'discriminate', 'between', 'pdrs', 'and', 'xdrs', 'very', 'high', 'j', '10', 'co', 'lines', 'observable', 'with', 'hifiherschel', 'discriminate', 'very', 'well', 'between', 'xdrs', 'and', 'pdrs', 'in', 'xdrs', 'it', 'is', 'easy', 'to', 'produce', 'large', 'abundances', 'of', 'warm', 't100', 'k', 'h2o', 'and', 'oh', 'in', 'pdrs', 'only', 'oh', 'is', 'produced', 'similarly', 'well']] | [0.021895505589485283, 0.12091472130449969, 0.10188321633340448, 0.14867407111159991, -0.009605187352518646, -0.1467737493114736, 0.03470027402318938, 0.5251460442395539, -0.0975577070767402, -0.33374391699551925, -0.054204854722210795, -0.31157962981687515, 0.06787396850164182, 0.09430666422062763, 0.00124275573168178, -0.1338428151793778, -0.011133302485437266, -0.22621207610152813, 0.07138133148795792, -0.19901237193951193, 0.2416798097974792, 0.14202117948906914, 0.10769678058241712, 0.06449762308894068, -0.020522163836380506, -0.27376295174281967, -0.05063069851508326, -0.08188439687067757, -0.14774601763788175, 0.06708752995057564, 0.4034946807945261, 0.0974086593540756, 0.10923676011010017, -0.36233836530270624, -0.22315710056953283, 0.08581964009232362, 0.14129992552833365, 0.0010235053582154975, -0.006530045650481265, -0.23995817926883392, -5.051851918806835e-05, -0.18720203933866733, -0.12741771126546117, 0.030694648666231304, 0.08517001003350075, 0.031402422053435325, -0.25139584350494704, 0.1361657705844608, -0.04742275579411974, 0.12551601290493747, -0.10011872853513579, -0.19690117780689378, -0.15059480276814072, 0.028818632882297496, 0.028039631547824462, 0.10496020419713185, 0.323615132389134, -0.12120341043681743, 0.03933711974805563, 0.46614944657348856, -0.14829791539434192, 0.03940536315571897, 0.39390577999304754, -0.22628308202814768, -0.25815764048174783, 0.2918946639045465, 0.028458432901451097, 0.17176335088538044, -0.10025615032705269, -0.018959189904140954, -0.024948085608359958, 0.23757463123183697, 0.1189989793370953, 0.09455127535834529, 0.34119440636084397, -0.009177911527720945, 0.023335235581818815, 0.11214469736905255, -0.25043218234097775, -0.05159158236822303, -0.1466996521993103, -0.15960372577668452, -0.08372636518099022, 0.10491346212564873, -0.10976121227205873, -0.05221576500227865, 0.1573381124216379, 0.03338240803639898, 0.25063064092846243, -0.05102259069871234, 0.3259883463306695, 0.02289364947842396, 0.03559715963890586, 0.15655893450412822, 0.31696851426089295, 0.2623505734135302, 0.11152232895909371, -0.2585752746185326, 0.08083911490750176, -0.039363755919371864] |
709.3431 | K-Scaffold subgraphs of Complex networks | Complex networks with high numbers of nodes or links are often difficult to
analyse. However, not all elements contribute equally to their structural
patterns. A small number of elements (the hubs) seem to play a particularly
relevant role in organizing the overall structure around them. But other parts
of the architecture (such as hub-hub connecting elements) are also important.
In this letter we present a new type of substructure, to be named the
$K$-scaffold subgraph, able to capture all the essential network components.
Their key features, including the so called critical scaffold graph, are
analytically derived.
| physics.soc-ph | complex networks with high numbers of nodes or links are often difficult to analyse however not all elements contribute equally to their structural patterns a small number of elements the hubs seem to play a particularly relevant role in organizing the overall structure around them but other parts of the architecture such as hubhub connecting elements are also important in this letter we present a new type of substructure to be named the kscaffold subgraph able to capture all the essential network components their key features including the so called critical scaffold graph are analytically derived | [['complex', 'networks', 'with', 'high', 'numbers', 'of', 'nodes', 'or', 'links', 'are', 'often', 'difficult', 'to', 'analyse', 'however', 'not', 'all', 'elements', 'contribute', 'equally', 'to', 'their', 'structural', 'patterns', 'a', 'small', 'number', 'of', 'elements', 'the', 'hubs', 'seem', 'to', 'play', 'a', 'particularly', 'relevant', 'role', 'in', 'organizing', 'the', 'overall', 'structure', 'around', 'them', 'but', 'other', 'parts', 'of', 'the', 'architecture', 'such', 'as', 'hubhub', 'connecting', 'elements', 'are', 'also', 'important', 'in', 'this', 'letter', 'we', 'present', 'a', 'new', 'type', 'of', 'substructure', 'to', 'be', 'named', 'the', 'kscaffold', 'subgraph', 'able', 'to', 'capture', 'all', 'the', 'essential', 'network', 'components', 'their', 'key', 'features', 'including', 'the', 'so', 'called', 'critical', 'scaffold', 'graph', 'are', 'analytically', 'derived']] | [-0.14859744351347315, 0.1049885851271609, -0.031088406804632, 0.1003509001407594, -0.10224930618077199, -0.12011600561697591, 0.03840497441520478, 0.3971423167893861, -0.29878476692086203, -0.33292472673619683, 0.08262529346269575, -0.27397160435050844, -0.237861097390278, 0.14355914462902683, -0.04792975182545946, 0.020620939331723653, 0.04969509604926954, 0.07184559321823589, 0.03637687774731758, -0.21010243295762498, 0.34473921314991535, 0.05779785713418684, 0.24867295348977156, 0.029731210855583837, 0.041874117406204024, -0.04973074148825191, -0.06525296535580716, 0.052202518250387006, -0.05788670195405312, 0.1760178449281313, 0.3244051203191122, 0.12179697353511731, 0.24157590957289127, -0.4581034623799806, -0.19157539261628853, 0.15525080126640883, 0.1931224428092506, 0.09019345254141917, -0.010679314735325728, -0.21834886779493473, 0.13266131689925578, -0.14405554592946268, -0.11455562323371464, -0.12743621737636784, 0.024265068285959833, 0.06283191891332612, -0.20565151480990065, 0.023115899155914606, 0.06076936993965919, 0.023146511035713743, 0.007938657168972683, -0.12802329676305044, -0.03072795764037824, 0.2439806413554408, 0.0030757471575928686, -0.013947402156810177, 0.13855702247213017, -0.1633339960281638, -0.06189411166223123, 0.42344180766017514, 0.03876636064353776, -0.18226481665005076, 0.21877861015518454, -0.09324378112177463, -0.20097544113114635, 0.11107451393903095, 0.18924492324127795, 0.09357591349373948, -0.1575802094903725, -0.01924428218192956, -0.006618095143262217, 0.15221837840657285, 0.03907028990401391, 0.10097099768314907, 0.23555374851430508, 0.1550721941364711, 0.046808086154147104, 0.1044789031191303, -0.05802509894358004, -0.07836815306639418, -0.2638736906203818, -0.15196072517527623, -0.12748870262727538, -0.022365936008312968, -0.08520938327258572, -0.19791437778126528, 0.40375907398373917, 0.14542458223258245, 0.26861598081218, 0.00304215584207881, 0.26089612136847595, 0.0293450959390921, 0.1520064135844958, 0.09832706194906, 0.19834761533073764, 0.12765208301827946, 0.08812591511795813, -0.145436777807574, 0.1285217909781421, 0.0422672116534507] |
709.3432 | Bifurcation From Networks of Unstable Attractors to Heteroclinic
Switching | We present a dynamical system that naturally exhibits two unstable attractors
that are completely enclosed by each others basin volume. This
counter-intuitive phenomenon occurs in networks of pulse-coupled oscillators
with delayed interactions. We analytically and numerically investigate this
phenomenon and clarify the mechanism underlying it: Upon continuously removing
the non-invertibility of the system, the set of two unstable attractors becomes
a set of two non-attracting saddle states that are heteroclinically connected
to each other. This transition from a network of unstable attractors to a
heteroclinic cycle constitutes a new type of bifurcation in dynamical systems.
| nlin.CD cond-mat.dis-nn nlin.AO q-bio.NC | we present a dynamical system that naturally exhibits two unstable attractors that are completely enclosed by each others basin volume this counterintuitive phenomenon occurs in networks of pulsecoupled oscillators with delayed interactions we analytically and numerically investigate this phenomenon and clarify the mechanism underlying it upon continuously removing the noninvertibility of the system the set of two unstable attractors becomes a set of two nonattracting saddle states that are heteroclinically connected to each other this transition from a network of unstable attractors to a heteroclinic cycle constitutes a new type of bifurcation in dynamical systems | [['we', 'present', 'a', 'dynamical', 'system', 'that', 'naturally', 'exhibits', 'two', 'unstable', 'attractors', 'that', 'are', 'completely', 'enclosed', 'by', 'each', 'others', 'basin', 'volume', 'this', 'counterintuitive', 'phenomenon', 'occurs', 'in', 'networks', 'of', 'pulsecoupled', 'oscillators', 'with', 'delayed', 'interactions', 'we', 'analytically', 'and', 'numerically', 'investigate', 'this', 'phenomenon', 'and', 'clarify', 'the', 'mechanism', 'underlying', 'it', 'upon', 'continuously', 'removing', 'the', 'noninvertibility', 'of', 'the', 'system', 'the', 'set', 'of', 'two', 'unstable', 'attractors', 'becomes', 'a', 'set', 'of', 'two', 'nonattracting', 'saddle', 'states', 'that', 'are', 'heteroclinically', 'connected', 'to', 'each', 'other', 'this', 'transition', 'from', 'a', 'network', 'of', 'unstable', 'attractors', 'to', 'a', 'heteroclinic', 'cycle', 'constitutes', 'a', 'new', 'type', 'of', 'bifurcation', 'in', 'dynamical', 'systems']] | [-0.2838393531323589, 0.18783532616068074, -0.1015236074819497, 0.07464402637251237, -0.00030670580553247574, -0.17603901535658997, 0.09280628953475822, 0.29405833636360995, -0.29238851885608536, -0.19616112809509356, 0.10404128851022254, -0.28443912815357103, -0.26737504801217543, 0.1484908239440398, -0.05121816002189162, 0.01266828929247493, 0.06933048700150896, 0.03922071332171401, 0.014757305886497365, -0.18410256098301964, 0.4034183751593562, -0.035011289960164775, 0.22731410397930032, -0.03987605241127312, 0.0902291994809391, -0.08246003793790302, 0.062041681893962496, 0.03971509373761674, -0.12097399101084522, 0.07527443059123161, 0.2082230474086518, 0.10453271182338172, 0.2743969544907041, -0.4041244204037209, -0.2340194424366618, 0.15985016845553082, 0.17963112346788354, 0.14589220288387955, -0.018209471282774604, -0.2802150554043498, 0.06728881687926565, -0.15866985986940563, -0.1943238611243903, -0.07486510656754229, 0.050185018347853674, 0.03065704610545505, -0.20741913531054842, 0.062045678620206865, 0.08043179733052037, 0.03527109879762568, -0.061489377797462365, 0.003478203684666214, -0.09735982177006279, 0.12837967879455933, 0.027261002282876746, -0.02750057003341932, 0.14037204766646028, -0.06661294279075129, -0.09858441966130062, 0.32488016539966647, -0.015879690154217817, -0.17293582340309824, 0.2600823886633078, -0.12586311969727754, -0.15728975672453166, 0.17390173510152926, 0.14414211564717141, 0.06870589201726228, -0.15459124899736823, 0.013550468560734249, -0.02325519017795933, 0.14754474510815233, 0.06813394568830808, 0.005967102409835825, 0.2134299326509713, 0.23417744852919528, 0.11416950939778, 0.18574704652394544, -0.007165390978309702, -0.18425757113467664, -0.280274642205381, -0.06248641578837278, -0.12671210073142689, 0.057345447685331744, -0.08748025262816264, -0.20993939158011307, 0.445472611233275, 0.11645459591787546, 0.24263608818279303, 0.019037844419375338, 0.254791277426077, 0.10164751342102697, 0.014278149481198968, 0.06804566935913518, 0.27363070358145747, 0.11520866480249753, 0.10985277062083812, -0.23254696749140846, 0.025396888411821836, 0.1080624330243928] |
709.3433 | Attempted density blowup in a freely cooling dilute granular gas:
hydrodynamics versus molecular dynamics | It has been recently shown (Fouxon et al. 2007) that, in the framework of
ideal granular hydrodynamics (IGHD), an initially smooth hydrodynamic flow of a
granular gas can produce an infinite gas density in a finite time. Exact
solutions that exhibit this property have been derived. Close to the
singularity, the granular gas pressure is finite and almost constant. This work
reports molecular dynamics (MD) simulations of a freely cooling gas of nearly
elastically colliding hard disks, aimed at identifying the "attempted" density
blowup regime. The initial conditions of the simulated flow mimic those of one
particular solution of the IGHD equations that exhibits the density blowup. We
measure the hydrodynamic fields in the MD simulations and compare them with
predictions from the ideal theory. We find a remarkable quantitative agreement
between the two over an extended time interval, proving the existence of the
attempted blowup regime. As the attempted singularity is approached, the
hydrodynamic fields, as observed in the MD simulations, deviate from the
predictions of the ideal solution. To investigate the mechanism of breakdown of
the ideal theory near the singularity, we extend the hydrodynamic theory by
accounting separately for the gradient-dependent transport and for finite
density corrections.
| cond-mat.soft physics.flu-dyn | it has been recently shown fouxon et al 2007 that in the framework of ideal granular hydrodynamics ighd an initially smooth hydrodynamic flow of a granular gas can produce an infinite gas density in a finite time exact solutions that exhibit this property have been derived close to the singularity the granular gas pressure is finite and almost constant this work reports molecular dynamics md simulations of a freely cooling gas of nearly elastically colliding hard disks aimed at identifying the attempted density blowup regime the initial conditions of the simulated flow mimic those of one particular solution of the ighd equations that exhibits the density blowup we measure the hydrodynamic fields in the md simulations and compare them with predictions from the ideal theory we find a remarkable quantitative agreement between the two over an extended time interval proving the existence of the attempted blowup regime as the attempted singularity is approached the hydrodynamic fields as observed in the md simulations deviate from the predictions of the ideal solution to investigate the mechanism of breakdown of the ideal theory near the singularity we extend the hydrodynamic theory by accounting separately for the gradientdependent transport and for finite density corrections | [['it', 'has', 'been', 'recently', 'shown', 'fouxon', 'et', 'al', '2007', 'that', 'in', 'the', 'framework', 'of', 'ideal', 'granular', 'hydrodynamics', 'ighd', 'an', 'initially', 'smooth', 'hydrodynamic', 'flow', 'of', 'a', 'granular', 'gas', 'can', 'produce', 'an', 'infinite', 'gas', 'density', 'in', 'a', 'finite', 'time', 'exact', 'solutions', 'that', 'exhibit', 'this', 'property', 'have', 'been', 'derived', 'close', 'to', 'the', 'singularity', 'the', 'granular', 'gas', 'pressure', 'is', 'finite', 'and', 'almost', 'constant', 'this', 'work', 'reports', 'molecular', 'dynamics', 'md', 'simulations', 'of', 'a', 'freely', 'cooling', 'gas', 'of', 'nearly', 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709.3434 | Phase Transitions and the Perfectness of Fluids | We calculate the ratio eta/s, the shear viscosity (eta) to entropy density
(s), which characterizes how perfect a fluid is, in weakly coupled real scalar
field theories with different types of phase transitions. The mean-field
results of the eta/s behaviors agree with the empirical observations in atomic
and molecular systems such as water, He, N, and all the matters with data
available in the NIST database. These behaviors are expected to be the same in
N component scalar theories with an O(N) symmetry. We speculate these eta/s
behaviors are general properties of fluid shared by QCD and cold atoms.
Finally, we clarify some issues regarding counterexamples of the conjectured
universal eta/s bound found in Refs.[16,17].
| hep-ph cond-mat.other cond-mat.soft hep-lat nucl-ex nucl-th | we calculate the ratio etas the shear viscosity eta to entropy density s which characterizes how perfect a fluid is in weakly coupled real scalar field theories with different types of phase transitions the meanfield results of the etas behaviors agree with the empirical observations in atomic and molecular systems such as water he n and all the matters with data available in the nist database these behaviors are expected to be the same in n component scalar theories with an on symmetry we speculate these etas behaviors are general properties of fluid shared by qcd and cold atoms finally we clarify some issues regarding counterexamples of the conjectured universal etas bound found in refs1617 | [['we', 'calculate', 'the', 'ratio', 'etas', 'the', 'shear', 'viscosity', 'eta', 'to', 'entropy', 'density', 's', 'which', 'characterizes', 'how', 'perfect', 'a', 'fluid', 'is', 'in', 'weakly', 'coupled', 'real', 'scalar', 'field', 'theories', 'with', 'different', 'types', 'of', 'phase', 'transitions', 'the', 'meanfield', 'results', 'of', 'the', 'etas', 'behaviors', 'agree', 'with', 'the', 'empirical', 'observations', 'in', 'atomic', 'and', 'molecular', 'systems', 'such', 'as', 'water', 'he', 'n', 'and', 'all', 'the', 'matters', 'with', 'data', 'available', 'in', 'the', 'nist', 'database', 'these', 'behaviors', 'are', 'expected', 'to', 'be', 'the', 'same', 'in', 'n', 'component', 'scalar', 'theories', 'with', 'an', 'on', 'symmetry', 'we', 'speculate', 'these', 'etas', 'behaviors', 'are', 'general', 'properties', 'of', 'fluid', 'shared', 'by', 'qcd', 'and', 'cold', 'atoms', 'finally', 'we', 'clarify', 'some', 'issues', 'regarding', 'counterexamples', 'of', 'the', 'conjectured', 'universal', 'etas', 'bound', 'found', 'in', 'refs1617']] | [-0.15193910769742439, 0.21142993609151872, -0.10793522259081599, 0.055038275349305193, -0.005806477764915479, -0.1501343096238806, 0.005919099572980613, 0.30284637414539856, -0.2183853662572801, -0.3010615843201154, 0.03316123310063982, -0.34035713455982897, -0.1020004034569291, 0.12494954437001102, -0.0016805620418796153, 0.08024726425738711, 0.0016994555164210237, 0.061256612618372105, -0.06852457753235572, -0.2736156081878825, 0.3227127792084949, 0.02193501105597406, 0.27629207791923954, 0.1041055414498898, 0.005913303880094502, -0.07090599424401789, 0.0020289316981736767, 0.04711824926760113, -0.21347672346031718, 0.05873942285727121, 0.2804076140542237, 0.09852850907318816, 0.15002636887999088, -0.4248879386046738, -0.22503695927004805, 0.07620381217106785, 0.09995474758672349, 0.09874074923573062, 0.004664959828165082, -0.2504078281896287, 0.03464221636552298, -0.16129853944866018, -0.13432886582194714, -0.09189821710491455, 0.025655152250628657, 0.042215089861042145, -0.2542410881438276, 0.11735618148374845, 0.00604023967395749, 0.07285365703099064, -0.07904393064152253, -0.13978711676297775, -0.027703123451047168, 0.07541445540591028, 0.1097640526427871, 0.010297919021053403, 0.15294121754082052, -0.1835736528063487, -0.08077185427241043, 0.39378135206929427, -0.09746524203913859, -0.17214866477603974, 0.22448486649316915, -0.14239336689525658, -0.1549890295667737, 0.0970083790925217, 0.12421300982558087, 0.11679958636676402, -0.09346833764657117, 0.07004724376632734, -0.07573526851493832, 0.19421728184087234, 0.051861559690829985, 0.03801020237937847, 0.23840680832794883, 0.09557062698724239, -0.02149153738527706, 0.13190146260016614, -0.029334636443915468, -0.12243706297962681, -0.31847808334829386, -0.15494950362654777, -0.1554776613698586, 0.044916227496670263, -0.13350884213172035, -0.1378065237465004, 0.2970273019582556, 0.1412832584036024, 0.21381504592596015, 0.030164129606227538, 0.23538066347930253, 0.10801822711660511, 0.006704623255421195, 0.1159647797160831, 0.26331397137536233, 0.16753834182306668, 0.11649984211595565, -0.2619107841930695, 0.027153851072254934, 0.06124900181557199] |
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