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708.4249 | Examples of the Zeroth Theorem of the History of Physics | The zeroth theorem of the history of science (enunciated by E. P. Fischer)
and widely known in the mathematics community as Arnol'd's Principle (decreed
by M. V. Berry), states that a discovery (rule, regularity, insight) named
after someone (often) did not originate with that person. I present five
examples from physics: the Lorentz condition defining the Lorentz gauge of the
electromagnetic potentials; the Dirac delta function (x); the Schumann
resonances of the earth-ionosphere cavity; the Weizsacker-Williams method of
virtual quanta; the BMT equation of spin dynamics. I give illustrated thumbnail
sketches of both the true and reputed discoverers and quote from their
"discovery" publications.
| physics.hist-ph | the zeroth theorem of the history of science enunciated by e p fischer and widely known in the mathematics community as arnolds principle decreed by m v berry states that a discovery rule regularity insight named after someone often did not originate with that person i present five examples from physics the lorentz condition defining the lorentz gauge of the electromagnetic potentials the dirac delta function x the schumann resonances of the earthionosphere cavity the weizsackerwilliams method of virtual quanta the bmt equation of spin dynamics i give illustrated thumbnail sketches of both the true and reputed discoverers and quote from their discovery publications | [['the', 'zeroth', 'theorem', 'of', 'the', 'history', 'of', 'science', 'enunciated', 'by', 'e', 'p', 'fischer', 'and', 'widely', 'known', 'in', 'the', 'mathematics', 'community', 'as', 'arnolds', 'principle', 'decreed', 'by', 'm', 'v', 'berry', 'states', 'that', 'a', 'discovery', 'rule', 'regularity', 'insight', 'named', 'after', 'someone', 'often', 'did', 'not', 'originate', 'with', 'that', 'person', 'i', 'present', 'five', 'examples', 'from', 'physics', 'the', 'lorentz', 'condition', 'defining', 'the', 'lorentz', 'gauge', 'of', 'the', 'electromagnetic', 'potentials', 'the', 'dirac', 'delta', 'function', 'x', 'the', 'schumann', 'resonances', 'of', 'the', 'earthionosphere', 'cavity', 'the', 'weizsackerwilliams', 'method', 'of', 'virtual', 'quanta', 'the', 'bmt', 'equation', 'of', 'spin', 'dynamics', 'i', 'give', 'illustrated', 'thumbnail', 'sketches', 'of', 'both', 'the', 'true', 'and', 'reputed', 'discoverers', 'and', 'quote', 'from', 'their', 'discovery', 'publications']] | [-0.1016632174858107, 0.1380858191718849, -0.11115612392313778, 0.0751396919009634, -0.1243457808965244, -0.15961049635482666, 0.07226282759690478, 0.27170817310420364, -0.24117917365107971, -0.3270342060042402, 0.02297365145484666, -0.279383205772879, -0.16309413109691098, 0.15329632165510423, -0.03901123667870147, 0.001927313121716277, 0.05050266163352017, 0.04805062782879059, -0.03454771852389408, -0.2451001522968699, 0.30363053361025566, 0.015983511165429194, 0.2501155906222546, 0.05009782648714743, 0.09137627033319753, 0.033190077246847347, -0.060792034512045436, -0.06522461538574695, -0.12782817050132367, 0.07957899490485523, 0.24327739970221257, 0.1466441005043005, 0.2703527033624526, -0.3753100104110602, -0.1551958936257646, 0.05043029333823002, 0.08971198822837323, 0.06404717213277203, -0.028795223150294848, -0.38165719332531667, -0.0064751847978466405, -0.14691069228305983, -0.16949974279514907, -0.050098239430763684, 0.07441704484069935, -0.002838206961034582, -0.1784726788811475, 0.08982499277828118, 0.12214263530376439, 0.06045604642937318, -0.040619787345909014, -0.15841322129171415, -0.050619763024874725, 0.0765679838682095, 0.06857948631155662, 0.034663396614352956, 0.12466996399990211, -0.1513176827619855, -0.16792086630056685, 0.4156472059683158, -0.039137923588546425, -0.13585922445278042, 0.12134914632994108, -0.1697860307758674, -0.11238642418286943, 0.12361525679947451, 0.11660222021433023, 0.11347822318426691, -0.15276786437943185, 0.13780745778226097, -0.05929903812508341, 0.0855033454225542, 0.10142452243039421, 0.0149124449907014, 0.18563962817335358, 0.051603672618512064, -0.011091104583241619, 0.05526679384862431, -0.063511718666772, -0.05591091347294143, -0.33825443872214794, -0.14086878314824738, -0.21077481479509375, 0.10954475293818597, -0.03894390100042354, -0.14765461763510337, 0.3958223960765351, 0.10339277087657067, 0.13336366281593934, -0.019631311780988023, 0.22430127831355023, 0.07619901276260722, 0.04393275623386636, 0.05889765743407994, 0.24867728793133909, 0.16346291421975295, 0.1491534971864894, -0.19602061982284516, 0.01916443884301071, 0.11655452625843911] |
708.425 | Conjugacy and Dynamics in Thompson's Groups | We give a unified solution to the conjugacy problem for Thompson's groups F,
T, and V. The solution uses strand diagrams, which are similar in spirit to
braids and generalize tree-pair diagrams for elements of Thompson's groups.
Strand diagrams are closely related to piecewise-linear functions for elements
of Thompson's groups, and we use this correspondence to investigate the
dynamics of elements of F. Though many of the results in this paper are known,
our approach is new, and it yields elegant proofs of several old results.
| math.GR | we give a unified solution to the conjugacy problem for thompsons groups f t and v the solution uses strand diagrams which are similar in spirit to braids and generalize treepair diagrams for elements of thompsons groups strand diagrams are closely related to piecewiselinear functions for elements of thompsons groups and we use this correspondence to investigate the dynamics of elements of f though many of the results in this paper are known our approach is new and it yields elegant proofs of several old results | [['we', 'give', 'a', 'unified', 'solution', 'to', 'the', 'conjugacy', 'problem', 'for', 'thompsons', 'groups', 'f', 't', 'and', 'v', 'the', 'solution', 'uses', 'strand', 'diagrams', 'which', 'are', 'similar', 'in', 'spirit', 'to', 'braids', 'and', 'generalize', 'treepair', 'diagrams', 'for', 'elements', 'of', 'thompsons', 'groups', 'strand', 'diagrams', 'are', 'closely', 'related', 'to', 'piecewiselinear', 'functions', 'for', 'elements', 'of', 'thompsons', 'groups', 'and', 'we', 'use', 'this', 'correspondence', 'to', 'investigate', 'the', 'dynamics', 'of', 'elements', 'of', 'f', 'though', 'many', 'of', 'the', 'results', 'in', 'this', 'paper', 'are', 'known', 'our', 'approach', 'is', 'new', 'and', 'it', 'yields', 'elegant', 'proofs', 'of', 'several', 'old', 'results']] | [-0.1154729408654655, 0.08586349009081375, -0.10679443782790385, 0.0982268909384973, -0.09483267130806695, -0.11014141872806778, 0.07122570046813899, 0.37901798813322257, -0.3011022253438484, -0.28461604317390293, 0.05825098003748111, -0.276083039110364, -0.18253942651587518, 0.22172331969188744, -0.1526200807501757, -0.01149929555262937, 0.04145749037825437, 0.03968181805468576, -0.08776991411253031, -0.2709755716401391, 0.3292428252482137, -0.07311761596911522, 0.19319156434408627, 0.01814850211024371, 0.06206579911414274, -0.022236788591240033, -0.048404090777905875, 0.010656851134669078, -0.1694597661099938, 0.15538040406563383, 0.2965663601319457, 0.119013898910516, 0.17908111397653473, -0.3591993344774426, -0.13050586175035447, 0.10124925804611426, 0.15392260607548577, 0.09403675642855422, -0.06255536831828744, -0.23918039283476944, 0.0999081205078509, -0.14914750136694935, -0.1370407608229407, -0.0862918587260728, 0.07217459719584779, 0.04228724996277759, -0.2413146203210534, 0.028344456967356248, 0.1044200194003277, 0.06710415034349142, -0.031206752541799877, -0.1410962458385891, 0.04558819069711188, 0.15359065803525926, 0.025111526475547877, 0.043346501534891335, 0.07145176877181024, -0.0854530380876345, -0.1307734224490475, 0.411710832538733, -0.023745096935674028, -0.1771502754120373, 0.23032960705025946, -0.12729076727098504, -0.20672419751171284, 0.08385384152914116, 0.07824804044740144, 0.16965980748754256, -0.1384442569796256, 0.13108207611096373, -0.1074456426553255, 0.07572082003990058, 0.07288292606447845, -0.00998774007352632, 0.10044531925408126, 0.07157899911493756, 0.06403225300181116, 0.18079147622703987, 0.0861148068540578, -0.05586810879474289, -0.30765143205779927, -0.2174281612969935, -0.07002167566679418, 0.007572290162707484, -0.06984476493278974, -0.21752218081789135, 0.42381468016740886, 0.12115400074439686, 0.15147063213293602, 0.12910857598627593, 0.1984024558562872, 0.05792591599124852, 0.07376706011073533, 0.062129627989041945, 0.11711787913795994, 0.22740792025552067, 0.005642261085382035, -0.14468286724133028, 0.014946406828997614, 0.22532727216846896] |
708.4251 | Evidence for alignment of the rotation and velocity vectors in pulsars.
II. Further data and emission heights | We have conducted observations of 22 pulsars at frequencies of 0.7, 1.4 and
3.1 GHz and present their polarization profiles. The observations were carried
out for two main purposes. First we compare the orientation of the spin and
velocity vectors to verify the proposed alignment of these vectors by Johnston
et al. (2005). We find, for the 14 pulsars for which we were able to determine
both vectors, that 7 are plausibly aligned, a fraction which is lower than, but
consistent with, earlier measurements. Secondly, we use profiles obtained
simultaneously at widely spaced frequencies to compute the radio emission
heights. We find, similar to other workers in the field, that radiation from
the centre of the profile originates from lower in the magnetosphere than the
radiation from the outer parts of the profile.
| astro-ph | we have conducted observations of 22 pulsars at frequencies of 07 14 and 31 ghz and present their polarization profiles the observations were carried out for two main purposes first we compare the orientation of the spin and velocity vectors to verify the proposed alignment of these vectors by johnston et al 2005 we find for the 14 pulsars for which we were able to determine both vectors that 7 are plausibly aligned a fraction which is lower than but consistent with earlier measurements secondly we use profiles obtained simultaneously at widely spaced frequencies to compute the radio emission heights we find similar to other workers in the field that radiation from the centre of the profile originates from lower in the magnetosphere than the radiation from the outer parts of the profile | [['we', 'have', 'conducted', 'observations', 'of', '22', 'pulsars', 'at', 'frequencies', 'of', '07', '14', 'and', '31', 'ghz', 'and', 'present', 'their', 'polarization', 'profiles', 'the', 'observations', 'were', 'carried', 'out', 'for', 'two', 'main', 'purposes', 'first', 'we', 'compare', 'the', 'orientation', 'of', 'the', 'spin', 'and', 'velocity', 'vectors', 'to', 'verify', 'the', 'proposed', 'alignment', 'of', 'these', 'vectors', 'by', 'johnston', 'et', 'al', '2005', 'we', 'find', 'for', 'the', '14', 'pulsars', 'for', 'which', 'we', 'were', 'able', 'to', 'determine', 'both', 'vectors', 'that', '7', 'are', 'plausibly', 'aligned', 'a', 'fraction', 'which', 'is', 'lower', 'than', 'but', 'consistent', 'with', 'earlier', 'measurements', 'secondly', 'we', 'use', 'profiles', 'obtained', 'simultaneously', 'at', 'widely', 'spaced', 'frequencies', 'to', 'compute', 'the', 'radio', 'emission', 'heights', 'we', 'find', 'similar', 'to', 'other', 'workers', 'in', 'the', 'field', 'that', 'radiation', 'from', 'the', 'centre', 'of', 'the', 'profile', 'originates', 'from', 'lower', 'in', 'the', 'magnetosphere', 'than', 'the', 'radiation', 'from', 'the', 'outer', 'parts', 'of', 'the', 'profile']] | [-0.07474201202525624, 0.10661429773203861, -0.05076328404877979, 0.05196492512503821, -0.060994538180950214, -0.06579454286729469, 0.03745362495030172, 0.4101934383966421, -0.1815654417303832, -0.3755672735659252, 0.08456407410890929, -0.2925285587290344, -0.07388422573755558, 0.22890017104258104, 0.006470683646997563, -0.019757808072324422, 0.01027734880073038, -0.027718224273854515, -0.056483839528243006, -0.21956305811531784, 0.2825494650121134, 0.09543938855675602, 0.26204928918916703, -0.028777395634162695, 0.0744799384742247, -0.04844788101659755, -0.07563666093226214, 0.001817967833713033, -0.13266911263863426, 0.09456731619915568, 0.22612165660366304, 0.11034111961848418, 0.17300283243613584, -0.40826576861335817, -0.1776912572751648, 0.047715463847117986, 0.12445157927748068, 0.10112234839449175, -0.015135427653313355, -0.2591001806584628, 0.11021466714617117, -0.15046218903105063, -0.1479854914499797, 0.024990172027365157, 0.050357140990191215, 0.033141855649384, -0.23854516588739658, 0.10915856201313716, 0.013202327544296762, 0.06415525077373013, -0.1263987317110615, -0.1675529508725425, -0.026925317848563418, 0.1183994428956657, 0.03699987957471127, 0.031630184911051414, 0.12345676167160832, -0.06446578577195847, -0.11037430694874698, 0.3407825289987364, -0.08647646611889902, -0.09567922170280962, 0.22038801977081798, -0.22855716357856667, -0.1505452005115611, 0.1549623787080995, 0.16566114811422794, 0.10623403179942441, -0.11249511662688583, -0.02569576912109663, -0.04976690091941982, 0.18826380159173692, 0.10673990547026795, -0.013209764166434008, 0.2572005399313748, 0.01630300749093294, 0.0162941294046525, 0.14799393235427447, -0.21502817602989202, -0.03316374449103132, -0.24038343972533494, -0.0815716087362988, -0.15367733871326186, 0.029303939039713907, -0.06056914194909369, -0.055351378756778355, 0.40322432868686836, 0.18318049132095693, 0.2304635691015344, 0.07490729977712876, 0.27846514388806837, 0.10062734463560234, 0.08371155194875161, 0.153261429812283, 0.3349093459021384, 0.14115368710879825, 0.10425382075897817, -0.18882004112614445, 0.025323889732949044, -0.040259916335344315] |
708.4252 | The area of horizons and the trapped region | This paper considers some fundamental questions concerning marginally trapped
surfaces, or apparent horizons, in Cauchy data sets for the Einstein equation.
An area estimate for outermost marginally trapped surfaces is proved. The proof
makes use of an existence result for marginal surfaces, in the presence of
barriers, curvature estimates, together with a novel surgery construction for
marginal surfaces. These results are applied to characterize the boundary of
the trapped region.
| gr-qc math.DG | this paper considers some fundamental questions concerning marginally trapped surfaces or apparent horizons in cauchy data sets for the einstein equation an area estimate for outermost marginally trapped surfaces is proved the proof makes use of an existence result for marginal surfaces in the presence of barriers curvature estimates together with a novel surgery construction for marginal surfaces these results are applied to characterize the boundary of the trapped region | [['this', 'paper', 'considers', 'some', 'fundamental', 'questions', 'concerning', 'marginally', 'trapped', 'surfaces', 'or', 'apparent', 'horizons', 'in', 'cauchy', 'data', 'sets', 'for', 'the', 'einstein', 'equation', 'an', 'area', 'estimate', 'for', 'outermost', 'marginally', 'trapped', 'surfaces', 'is', 'proved', 'the', 'proof', 'makes', 'use', 'of', 'an', 'existence', 'result', 'for', 'marginal', 'surfaces', 'in', 'the', 'presence', 'of', 'barriers', 'curvature', 'estimates', 'together', 'with', 'a', 'novel', 'surgery', 'construction', 'for', 'marginal', 'surfaces', 'these', 'results', 'are', 'applied', 'to', 'characterize', 'the', 'boundary', 'of', 'the', 'trapped', 'region']] | [-0.15221114206526962, 0.08221935604940102, -0.053137391526252034, 0.08665910302661359, -0.033907857510660375, -0.17349562565796078, -0.004477304391496416, 0.3210099967728768, -0.22439775113016366, -0.272631894497733, 0.13863632628095468, -0.29931337663105556, -0.09757233349955641, 0.249607742813948, -0.1984361128769316, 0.049660735623911025, 0.09780906953715852, 0.001877003176403897, -0.07540161356862102, -0.2701684149547613, 0.3951754383210625, 0.034037363223199335, 0.22985428082091466, 0.11579103192447551, 0.054956644715275615, 0.0091617406545473, -0.016256926241996032, 0.0049962129976068225, -0.24862783142764652, 0.17683449506626597, 0.2269399595979069, 0.030614214949309826, 0.2297397487397705, -0.4399136515600341, -0.24534853875603793, 0.11761756369711034, 0.14848491800948976, 0.11841872311862452, -0.05965855921552118, -0.2841454947633403, 0.00562861186585256, -0.05299045623147062, -0.2799827261096133, -0.07473561779728957, 0.006040705647319555, -0.034339726729584595, -0.19302424278908542, 0.08437950384936162, 0.10122693282152925, 0.07077370504183429, -0.17885882523842156, -0.06078315806309027, -0.0014439479381378208, 0.06932305543616946, 0.07931315704980599, -0.018370571393253547, 0.08348849974572659, -0.1118040788053934, -0.06862931059939521, 0.2798974788880774, -0.03880286299224411, -0.2286393596158762, 0.17772631882024661, -0.1395775379879134, -0.10809991382993758, 0.15741781890392303, 0.14054204413135138, 0.14291615915218633, -0.17615933254627245, 0.09654617757935609, -0.0315471838610912, 0.13134581465274095, 0.1512640398561156, -0.03250462971627712, 0.2608112031726965, 0.11753287532898997, 0.15711474771212255, 0.14820100690703839, -0.12497384055584138, -0.09800065360032022, -0.3631975260829287, -0.22853962857916485, -0.15879037142149172, 0.010076525208673307, -0.08275834883430175, -0.2294907209862556, 0.2983433564326593, 0.049922362834747346, 0.17944076999223657, 0.07430621325703604, 0.21741020753979684, 0.05247059968699302, 0.008411576512402721, 0.12681117647859666, 0.2485914752107679, 0.14773852537785256, 0.03993419584419046, -0.14998040181318564, 0.033276092187900626, 0.11250318932746138] |
708.4253 | An exhaustive exploration of the parameter space of the Prisoners'
Dilemma in one-dimensional cellular automata | The Prisoner's Dilemma (PD) is one of the most popular games of the Game
Theory due to the emergence of cooperation among competitive rational players.
In this paper, we present the PD played in cells of one-dimension cellular
automata, where the number of possible neighbors that each cell interacts, z,
can vary. This makes possible to retrieve results obtained previously in
regular lattices. Exhaustive exploration of the parameters space is presented.
We show that the final state of the system is governed mainly by the number of
neighbors z and there is a drastic difference if it is even or odd.
| physics.soc-ph physics.comp-ph | the prisoners dilemma pd is one of the most popular games of the game theory due to the emergence of cooperation among competitive rational players in this paper we present the pd played in cells of onedimension cellular automata where the number of possible neighbors that each cell interacts z can vary this makes possible to retrieve results obtained previously in regular lattices exhaustive exploration of the parameters space is presented we show that the final state of the system is governed mainly by the number of neighbors z and there is a drastic difference if it is even or odd | [['the', 'prisoners', 'dilemma', 'pd', 'is', 'one', 'of', 'the', 'most', 'popular', 'games', 'of', 'the', 'game', 'theory', 'due', 'to', 'the', 'emergence', 'of', 'cooperation', 'among', 'competitive', 'rational', 'players', 'in', 'this', 'paper', 'we', 'present', 'the', 'pd', 'played', 'in', 'cells', 'of', 'onedimension', 'cellular', 'automata', 'where', 'the', 'number', 'of', 'possible', 'neighbors', 'that', 'each', 'cell', 'interacts', 'z', 'can', 'vary', 'this', 'makes', 'possible', 'to', 'retrieve', 'results', 'obtained', 'previously', 'in', 'regular', 'lattices', 'exhaustive', 'exploration', 'of', 'the', 'parameters', 'space', 'is', 'presented', 'we', 'show', 'that', 'the', 'final', 'state', 'of', 'the', 'system', 'is', 'governed', 'mainly', 'by', 'the', 'number', 'of', 'neighbors', 'z', 'and', 'there', 'is', 'a', 'drastic', 'difference', 'if', 'it', 'is', 'even', 'or', 'odd']] | [-0.15835513417507605, 0.13339679525464332, -0.03276461381972352, 0.06635383866833394, -0.050598089255872045, -0.18340112159655678, 0.09884216939560184, 0.3690219994191781, -0.284374257177345, -0.25871818582757866, 0.04696053757198561, -0.2942575148887711, -0.1973263794247356, 0.09531185399547293, -0.07448968180169416, -0.05061332061356579, 0.06844917548322442, 0.07325335599177767, 0.03118413553162856, -0.3305405516195858, 0.3445083011024733, 0.033047325743159446, 0.22908583085172543, -0.0021441250689106413, 0.08847355549362036, 0.036300599747936764, -0.021141389882512445, 0.06583966896609901, -0.10396033170990909, 0.09572794418413155, 0.25713156383152647, 0.1309650584290007, 0.30585799783025636, -0.4055988983352586, -0.16237668430958274, 0.16572681405941153, 0.16728394267859287, 0.10338329756171397, -0.020794900784287418, -0.23845449226475, 0.08920690392392992, -0.1675032728702051, -0.10710123913952767, -0.009656359045074718, 0.05284711045425127, 0.0233184082230719, -0.2780185913261358, 0.009372928585525197, 0.04789553777462259, 0.05603816094669965, -0.030749948499355428, -0.1325884717689495, -0.06457821122776385, 0.17131237809933575, 0.048206486564018936, 0.021235119837271697, 0.09629912735285735, -0.15318165931592484, -0.15174116256029005, 0.41323340619628385, -0.008597621774891078, -0.1736301072472061, 0.21926654379648886, -0.15631799946658978, -0.09906733072003221, 0.11926645579019396, 0.11965423019252497, 0.12338583835280768, -0.08769719937521189, 0.090457232636146, -0.09619155544142174, 0.19634043119875438, 0.058894256784552984, 0.031284657908640434, 0.13051607295649476, 0.2296029023669365, 0.09924597569768971, 0.10043264730224884, -0.031784009852326746, -0.17792021928673224, -0.23769446872728, -0.15396393208976578, -0.1870059126729865, 0.024362766543532362, -0.07064178382668362, -0.1236126658755659, 0.37000563799283737, 0.14089832989738718, 0.15245544666073996, 0.020206559776780333, 0.2547692208744512, 0.08973903120910325, 0.047644355347020426, 0.021741032681663032, 0.2304285397328953, 0.09820540385127141, 0.09536684206733019, -0.23225796612274677, 0.10231114548658675, 0.0682400082397081] |
708.4254 | Virtual Yang-Baxter cocycle invariants | We extend the Yang-Baxter cocycle invariants for virtual knots by augmenting
Yang-Baxter 2-cocycles with cocycles from a cohomology theory associated to a
virtual biquandle structure. These invariants coincide with the classical
Yang-Baxter cocycle invariants for classical knots but provide extra
information about virtual knots and links. In particular, they provide a method
for detecting non-classicality of virtual knots and links.
| math.GT math.QA | we extend the yangbaxter cocycle invariants for virtual knots by augmenting yangbaxter 2cocycles with cocycles from a cohomology theory associated to a virtual biquandle structure these invariants coincide with the classical yangbaxter cocycle invariants for classical knots but provide extra information about virtual knots and links in particular they provide a method for detecting nonclassicality of virtual knots and links | [['we', 'extend', 'the', 'yangbaxter', 'cocycle', 'invariants', 'for', 'virtual', 'knots', 'by', 'augmenting', 'yangbaxter', '2cocycles', 'with', 'cocycles', 'from', 'a', 'cohomology', 'theory', 'associated', 'to', 'a', 'virtual', 'biquandle', 'structure', 'these', 'invariants', 'coincide', 'with', 'the', 'classical', 'yangbaxter', 'cocycle', 'invariants', 'for', 'classical', 'knots', 'but', 'provide', 'extra', 'information', 'about', 'virtual', 'knots', 'and', 'links', 'in', 'particular', 'they', 'provide', 'a', 'method', 'for', 'detecting', 'nonclassicality', 'of', 'virtual', 'knots', 'and', 'links']] | [-0.29308712828982003, 0.09879801964076856, -0.11410194247340162, 0.1618531015391151, -0.13792479876428843, -0.258979711891152, 0.010059403936611488, 0.33180907083054384, -0.3728930285200477, -0.2668620270056029, 0.035841938498197126, -0.22014018539339303, -0.21955437202317019, 0.2242832371033728, -0.1484382356982678, 0.036768781033849035, 0.11209163473298152, 0.043561404370120724, -0.08393661318696104, -0.18266803108272142, 0.44310721116295704, -0.035734031908214094, 0.13346533284833034, 0.03556981919488559, 0.1046834249359866, -0.02612864652959009, -0.08623527327241996, -0.06412473008967937, -0.1771811953590562, 0.1586989391905566, 0.2828450322151184, 0.009647172363474964, 0.0500736354268156, -0.3684823669803639, -0.14863263452425599, 0.12233614608024558, 0.14761053702483576, 0.03464455706998706, 0.007222027432483931, -0.39441112987697124, 0.0777160577631245, -0.24336199840375533, -0.18873769303318114, -0.1211140937016656, 0.0010008732477823892, 0.0332854975014925, -0.11731145547722312, 0.0013186547129104534, -0.005216029492051651, 0.12305605978084107, -0.0307692737900652, -0.015517850026177863, -0.06309647205440948, 0.1664985484133164, -0.05416913724814852, 0.033874390823378536, 0.1179880722037827, -0.2099386177957058, -0.28857388557710995, 0.36633444076481586, 0.008844378827294956, -0.2835479402332567, 0.14219193120176593, -0.08870680031832308, -0.2868180690566078, 0.23077019245053332, 0.028888398595154286, 0.08612870468447606, -0.0372139468488361, 0.11359408731223083, -0.11382801194364826, 0.05811305344104767, 0.10926978754190107, 0.07300889642598728, 0.1447294820100069, -0.08040072331593061, 0.03222912196069956, 0.190515564288944, 0.051589594151785906, -0.08829425310250372, -0.3396887537712852, -0.2865337432905411, -0.04416134914693733, 0.14886654602984586, -0.127744294097162, -0.1637131366878748, 0.3780531947190563, 0.1026917758611186, 0.11324612283303091, 0.21155487312935292, 0.2892343853289882, 0.024115461266289155, 0.12776977222723265, 0.10385588907326261, 0.11470902481426795, 0.2246788754942827, 0.02333447023605307, -0.06825426256206507, -0.023381077335216105, 0.3107197422068566] |
708.4255 | Meta-Stable Brane Configurations of Triple Product Gauge Groups | From an N=1 supersymmetric electric gauge theory with the gauge group SU(N_c)
x SU(N_c') x SU(N_c'') with fundamentals for each gauge group and the
bifundamentals, we apply Seiberg dual to each gauge group and obtain the N=1
supersymmetric dual magnetic gauge theories with dual matters including the
additional gauge singlets. By analyzing the F-term equations of the dual
magnetic superpotentials, we describe the intersecting brane configurations of
type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua
of this gauge theory. We apply also to the case for N=1 supersymmetric electric
gauge theory with the gauge group Sp(N_c) x SO(2N_c') x Sp(N_c'') with flavors
for each gauge group and the bifundamentals. Finally, we describe the
meta-stable brane configurations of multiple product gauge groups.
| hep-th | from an n1 supersymmetric electric gauge theory with the gauge group sun_c x sun_c x sun_c with fundamentals for each gauge group and the bifundamentals we apply seiberg dual to each gauge group and obtain the n1 supersymmetric dual magnetic gauge theories with dual matters including the additional gauge singlets by analyzing the fterm equations of the dual magnetic superpotentials we describe the intersecting brane configurations of type iia string theory corresponding to the metastable nonsupersymmetric vacua of this gauge theory we apply also to the case for n1 supersymmetric electric gauge theory with the gauge group spn_c x so2n_c x spn_c with flavors for each gauge group and the bifundamentals finally we describe the metastable brane configurations of multiple product gauge groups | [['from', 'an', 'n1', 'supersymmetric', 'electric', 'gauge', 'theory', 'with', 'the', 'gauge', 'group', 'sun_c', 'x', 'sun_c', 'x', 'sun_c', 'with', 'fundamentals', 'for', 'each', 'gauge', 'group', 'and', 'the', 'bifundamentals', 'we', 'apply', 'seiberg', 'dual', 'to', 'each', 'gauge', 'group', 'and', 'obtain', 'the', 'n1', 'supersymmetric', 'dual', 'magnetic', 'gauge', 'theories', 'with', 'dual', 'matters', 'including', 'the', 'additional', 'gauge', 'singlets', 'by', 'analyzing', 'the', 'fterm', 'equations', 'of', 'the', 'dual', 'magnetic', 'superpotentials', 'we', 'describe', 'the', 'intersecting', 'brane', 'configurations', 'of', 'type', 'iia', 'string', 'theory', 'corresponding', 'to', 'the', 'metastable', 'nonsupersymmetric', 'vacua', 'of', 'this', 'gauge', 'theory', 'we', 'apply', 'also', 'to', 'the', 'case', 'for', 'n1', 'supersymmetric', 'electric', 'gauge', 'theory', 'with', 'the', 'gauge', 'group', 'spn_c', 'x', 'so2n_c', 'x', 'spn_c', 'with', 'flavors', 'for', 'each', 'gauge', 'group', 'and', 'the', 'bifundamentals', 'finally', 'we', 'describe', 'the', 'metastable', 'brane', 'configurations', 'of', 'multiple', 'product', 'gauge', 'groups']] | [-0.14648818442734277, 0.2769434996843915, -0.05201858165579265, 0.11078598986595596, -0.09540400443015605, -0.21451827778473376, -0.002086150702240506, 0.3485853130251502, -0.12036399849183191, -0.24393037062259468, 0.03898489685744289, -0.2549467770519053, -0.14034815957557742, -0.02835318185691911, -0.058221267651751396, -0.025598672453344355, -0.08678043677994027, 0.1012734689757349, -0.12456112001394111, -0.32672118682630086, 0.3253035700872419, -0.09410438953134102, 0.29548423437068494, -0.020048399554277823, 0.13015572490110025, 0.05110939730307072, 0.032620770031419714, -0.03817422324942985, -0.10811659520703966, 0.12045551295301354, 0.2205282612968751, 0.01630246699825535, 0.0386958311243755, -0.44714890462838536, -0.18453484923556085, 0.1300336121831362, 0.15715400034910051, 0.12843551451900626, -0.030588646487491888, -0.3206401457688279, 0.07942235191935688, -0.18255210914686928, -0.19143250619716246, -0.09044501828256904, -0.03250945642248849, -0.12478023355569297, -0.2995879717352914, -0.012663065501520925, -0.15497872257241752, 0.07125344598378108, -0.05244337247184864, -0.08992145981306468, -0.15703762232560695, 0.024619454328667342, 0.22353271155890714, 0.09605227214685542, 0.15106189647704604, -0.23011555848075305, -0.20510113130255445, 0.4163248441636381, -0.07082888446189842, -0.2264800294249402, 0.14354679084617675, -0.11278506021234926, -0.26977385568803525, 0.08845668938768105, 0.05214765209068612, 0.200378730783345, -0.06123197760160377, 0.3379116974590248, -0.08871877815089817, 0.10759530122684338, 0.05830441709471548, 0.0508296757981908, 0.24964862200999405, 0.0745114618079449, 0.04657181951300642, 0.12928752188866094, 0.06591989880245996, -0.10372434567841815, -0.49898701917987726, -0.13603924017217828, -0.029272717298803534, 0.15524214388976798, -0.19980660188392776, -0.14805236092496027, 0.3655734068100772, 0.11377746260883968, 0.08251887108615744, 0.05301739307256734, 0.10640097074816382, 0.03647254439964285, 0.041000584337284894, -0.009399369502879255, 0.1517927273880781, 0.23840478131816367, 0.025071440015898686, -0.2961317685497092, -0.3314836817165095, 0.3048982509616308] |
708.4256 | Upper critical field of aligned Na_{x}(H_{3}O)_{z}CoO_{2}\cdot yH_{2}O
superconductor by magnetization measurement | We present magnetization measurements for the upper critical field $H_{c2}$
on aligned Na$_{x}$(H$_{3}$O)$_{z}$CoO$_{2}\cdot y$H$_{2}$O superconductors
with magnetic field parallel to CoO$_2$ layers. The temperature-dependent part
of the normal-state magnetization $M(H,T)$ can be well scaled with Brillouin
function, suggesting the existence of impurity moments. By subtracting the
contribution of the magnetic impurity moments, a well defined onset of
superconducting diamagnetism allows the in-field superconducting transition
temperature $T_{c}$($H$) accurately determined. No superconducting transition
was observed down to 1.9 K under an applied field of 8 Tesla. The result
suggests that the $H^{\|ab}_{c2}(0)$ value is just within the Pauli
paramagnetic limit, supporting spin-singlet superconductivity in the cobalt
oxyhydrate superconductor. Additionally, the upward curvature near $T_{c}$ in
the $H^{\|ab}_{c2}-T$ phase diagram was confirmed to be intrinsic. Possible
origin of the anomaly was discussed.
| cond-mat.supr-con | we present magnetization measurements for the upper critical field h_c2 on aligned na_xh_3o_zcoo_2cdot yh_2o superconductors with magnetic field parallel to coo_2 layers the temperaturedependent part of the normalstate magnetization mht can be well scaled with brillouin function suggesting the existence of impurity moments by subtracting the contribution of the magnetic impurity moments a well defined onset of superconducting diamagnetism allows the infield superconducting transition temperature t_ch accurately determined no superconducting transition was observed down to 19 k under an applied field of 8 tesla the result suggests that the hab_c20 value is just within the pauli paramagnetic limit supporting spinsinglet superconductivity in the cobalt oxyhydrate superconductor additionally the upward curvature near t_c in the hab_c2t phase diagram was confirmed to be intrinsic possible origin of the anomaly was discussed | [['we', 'present', 'magnetization', 'measurements', 'for', 'the', 'upper', 'critical', 'field', 'h_c2', 'on', 'aligned', 'na_xh_3o_zcoo_2cdot', 'yh_2o', 'superconductors', 'with', 'magnetic', 'field', 'parallel', 'to', 'coo_2', 'layers', 'the', 'temperaturedependent', 'part', 'of', 'the', 'normalstate', 'magnetization', 'mht', 'can', 'be', 'well', 'scaled', 'with', 'brillouin', 'function', 'suggesting', 'the', 'existence', 'of', 'impurity', 'moments', 'by', 'subtracting', 'the', 'contribution', 'of', 'the', 'magnetic', 'impurity', 'moments', 'a', 'well', 'defined', 'onset', 'of', 'superconducting', 'diamagnetism', 'allows', 'the', 'infield', 'superconducting', 'transition', 'temperature', 't_ch', 'accurately', 'determined', 'no', 'superconducting', 'transition', 'was', 'observed', 'down', 'to', '19', 'k', 'under', 'an', 'applied', 'field', 'of', '8', 'tesla', 'the', 'result', 'suggests', 'that', 'the', 'hab_c20', 'value', 'is', 'just', 'within', 'the', 'pauli', 'paramagnetic', 'limit', 'supporting', 'spinsinglet', 'superconductivity', 'in', 'the', 'cobalt', 'oxyhydrate', 'superconductor', 'additionally', 'the', 'upward', 'curvature', 'near', 't_c', 'in', 'the', 'hab_c2t', 'phase', 'diagram', 'was', 'confirmed', 'to', 'be', 'intrinsic', 'possible', 'origin', 'of', 'the', 'anomaly', 'was', 'discussed']] | [-0.2058066713362932, 0.2396643119911896, -0.01236821276275441, 0.03955883611273021, -0.0777282807007432, -0.10886183331534266, 0.13661508507071995, 0.3577881018742919, -0.20308657009573652, -0.31597647596895695, -0.0017713572569191456, -0.33282416037668006, -0.051194357845932244, 0.16468936204165222, 0.07380256534926594, 0.021789384372532368, -0.0988109607771039, 0.04113288096757606, -0.13056822861591355, -0.2439210645519197, 0.29265471420809624, 0.010209921378642321, 0.3419607808701694, 0.12224709646357224, 0.006238825120031833, -0.021881844121962785, 0.17159165160357953, 0.0597442914545536, -0.1437588776893099, -0.033744397066533566, 0.26859240581840277, -0.10373798294737935, 0.11996368764340877, -0.3989998469501734, -0.1839618507772684, 0.008989621005952358, 0.15298138691484928, 0.10517260068748147, -0.024941064920509234, -0.2983634670227766, 0.05334990849718452, -0.055461475471034645, -0.1760022962614894, -0.08033365119807422, -0.05423886443534866, -0.045848920784890654, -0.2518417276451364, 0.14519191719964147, 0.08026456532813608, 0.15771117166779003, -0.10357606454240158, -0.17144393807649613, -0.0351828678175807, 0.015065748989465647, 0.08260989293083548, 0.13957771121710538, 0.19818737315014004, -0.07848105489928275, -0.08056228943623137, 0.2854691053032875, -0.0868091901326552, 0.003017836990999058, 0.07296061525680125, -0.20201977415615693, -0.05819020805507898, 0.20589313681796192, 0.05091606990993023, 0.05988778592273593, -0.16090610834723337, 0.07448796796426177, 0.003407957164105028, 0.1865390481352806, 0.031151215724647047, -0.0005074695134535432, 0.267036193035543, 0.19658654745295645, 0.028312219925224782, 0.18174947619996965, -0.17961568019166588, -0.04628945625713095, -0.26580334321781995, -0.17966017828136682, -0.23906740679591895, 0.06638211071491242, -0.08074551302567125, -0.19608134089410306, 0.36813551672548056, 0.19304632452502846, 0.2021815650612116, -0.0849563941527158, 0.20932684154063463, 0.15407229447411372, 0.11766635731235146, 0.09753548067063093, 0.2871122725456953, 0.26010890340991316, 0.16520550847053528, -0.3174142243526876, 0.10019730244576931, 0.02177437016926706] |
708.4257 | Giant magnetoelectric effect under high bias fields in cylindrical
bilayered Ni-PZT composites | For conventional plate and disc layered magnetoelectric (ME) composites, the
ME effect appeared under low bias magnetic fields, which caused by line
magnetostriction. In this paper, we present a new structure ME composites,
cylindrical bilayered composites. Unexpectedly, the ME effect also appeared
under high magnetic fields in this cylindrical bilayered Ni-lead zirconate
titanate (PZT) composite. We thought this ME effect caused by volume
magnetostriction. The results showed that the ME voltage coefficient of the
cylindrical bilayered composite of Ni-PZT was the sum of aE(l) caused by line
magnetostriction under low bias fields and aE(w) induced by volume
magnetostriction under high fields. At the resonance frequency, aE,A(w)
increased linearly with bias magnetic field HDC to 30 V/cm Oe at HDC =8 kOe,
and was much larger than aE,A(l) at Hm=0.6 kOe. The novel characteristic of ME
voltage coefficient increased linearly with the rise of HDC after 1 kOe in
axial mode makes the cylindrical composite a promising candidate for
application in high magnetic field sensor.
| cond-mat.mtrl-sci | for conventional plate and disc layered magnetoelectric me composites the me effect appeared under low bias magnetic fields which caused by line magnetostriction in this paper we present a new structure me composites cylindrical bilayered composites unexpectedly the me effect also appeared under high magnetic fields in this cylindrical bilayered nilead zirconate titanate pzt composite we thought this me effect caused by volume magnetostriction the results showed that the me voltage coefficient of the cylindrical bilayered composite of nipzt was the sum of ael caused by line magnetostriction under low bias fields and aew induced by volume magnetostriction under high fields at the resonance frequency aeaw increased linearly with bias magnetic field hdc to 30 vcm oe at hdc 8 koe and was much larger than aeal at hm06 koe the novel characteristic of me voltage coefficient increased linearly with the rise of hdc after 1 koe in axial mode makes the cylindrical composite a promising candidate for application in high magnetic field sensor | [['for', 'conventional', 'plate', 'and', 'disc', 'layered', 'magnetoelectric', 'me', 'composites', 'the', 'me', 'effect', 'appeared', 'under', 'low', 'bias', 'magnetic', 'fields', 'which', 'caused', 'by', 'line', 'magnetostriction', 'in', 'this', 'paper', 'we', 'present', 'a', 'new', 'structure', 'me', 'composites', 'cylindrical', 'bilayered', 'composites', 'unexpectedly', 'the', 'me', 'effect', 'also', 'appeared', 'under', 'high', 'magnetic', 'fields', 'in', 'this', 'cylindrical', 'bilayered', 'nilead', 'zirconate', 'titanate', 'pzt', 'composite', 'we', 'thought', 'this', 'me', 'effect', 'caused', 'by', 'volume', 'magnetostriction', 'the', 'results', 'showed', 'that', 'the', 'me', 'voltage', 'coefficient', 'of', 'the', 'cylindrical', 'bilayered', 'composite', 'of', 'nipzt', 'was', 'the', 'sum', 'of', 'ael', 'caused', 'by', 'line', 'magnetostriction', 'under', 'low', 'bias', 'fields', 'and', 'aew', 'induced', 'by', 'volume', 'magnetostriction', 'under', 'high', 'fields', 'at', 'the', 'resonance', 'frequency', 'aeaw', 'increased', 'linearly', 'with', 'bias', 'magnetic', 'field', 'hdc', 'to', '30', 'vcm', 'oe', 'at', 'hdc', '8', 'koe', 'and', 'was', 'much', 'larger', 'than', 'aeal', 'at', 'hm06', 'koe', 'the', 'novel', 'characteristic', 'of', 'me', 'voltage', 'coefficient', 'increased', 'linearly', 'with', 'the', 'rise', 'of', 'hdc', 'after', '1', 'koe', 'in', 'axial', 'mode', 'makes', 'the', 'cylindrical', 'composite', 'a', 'promising', 'candidate', 'for', 'application', 'in', 'high', 'magnetic', 'field', 'sensor']] | [-0.17522718410473317, 0.21878043618344237, 0.027022886998020114, -0.05227598413875967, -0.14511152566519742, -0.12103660362190567, 0.05240563453335199, 0.41966403438709676, -0.23572482406743803, -0.3432923146581743, 0.043945070062181915, -0.22815203947247936, -0.14132753816520563, 0.19922120890187217, -0.02151588396518491, -0.020884581276914106, -0.067869898135541, -0.00922386314778123, -0.047740406192315274, -0.22207095516932895, 0.23116677711950614, 0.06307524677249603, 0.3615080048388336, 0.046724792663371775, 0.08679398697713622, -0.01295555082615465, 0.11005253079347313, 0.11805778859416023, -0.11690507281623468, 0.021809890947770326, 0.20959587599645602, -0.12309335190220735, 0.2347368212256697, -0.4024573230242822, -0.16373264639987611, 0.002594354550819844, 0.07583580584323499, 0.08996708049198787, -0.0922076556365937, -0.24177148213930194, 0.13464449732855427, -0.12592122508795, -0.12019814900850179, -0.05704977146233432, 0.015078801017079969, -0.031859046842873794, -0.3010654303299816, 0.12158402350651158, 0.06781770048983163, 0.19694613721221685, -0.09590824692422757, -0.23027124360669404, 0.008189723638406577, -0.043286175082539555, 0.1104640094563365, 0.0631837543041911, 0.20079024764418135, -0.12734265833423705, -0.04493393536831718, 0.29492579207289965, -0.11064383109232949, -0.05952392698236508, 0.11559358480153606, -0.18961566149664577, -0.050278490013442936, 0.22912965635186994, 0.14561346062109806, 0.10339607516361866, -0.13793774221812782, 0.050014160817227094, 0.050690650613978504, 0.16926203720504418, 0.13212431245483458, -0.0031952824763720857, 0.232878018579504, 0.14091117360949285, 0.007526760804466903, 0.20941549095514347, -0.12415742573648458, 0.058235785239958204, -0.1994128534985066, -0.15546431015827694, -0.1383790346508249, 0.10524415993168076, -0.11209517754587069, -0.19114201185730054, 0.3682327821152285, 0.11760594651568682, 0.13267821028421167, -0.11088357061889838, 0.23983892850810662, 0.08409982108860277, 0.15206206999137067, 0.020077808979840482, 0.2963859833966126, 0.2563377996266354, 0.23504400655219798, -0.26196370277466485, 0.05934685889515094, -0.03189956171845552] |
708.4258 | On hitting times and fastest strong stationary times for skip-free and
more general chains | An (upward) skip-free Markov chain with the set of nonnegative integers as
state space is a chain for which upward jumps may be only of unit size; there
is no restriction on downward jumps. In a 1987 paper, Brown and Shao
determined, for an irreducible continuous-time skip-free chain and any d, the
passage time distribution from state 0 to state d. When the nonzero eigenvalues
nu_j of the generator are all real, their result states that the passage time
is distributed as the sum of d independent exponential random variables with
rates nu_j. We give another proof of their theorem. In the case of
birth-and-death chains, our proof leads to an explicit representation of the
passage time as a sum of independent exponential random variables. Diaconis and
Miclo recently obtained the first such representation, but our construction is
much simpler.
We obtain similar (and new) results for a fastest strong stationary time T of
an ergodic continuous-time skip-free chain with stochastically monotone
time-reversal started in state 0, and we also obtain discrete-time analogs of
all our results.
In the paper's final section we present extensions of our results to more
general chains.
| math.PR | an upward skipfree markov chain with the set of nonnegative integers as state space is a chain for which upward jumps may be only of unit size there is no restriction on downward jumps in a 1987 paper brown and shao determined for an irreducible continuoustime skipfree chain and any d the passage time distribution from state 0 to state d when the nonzero eigenvalues nu_j of the generator are all real their result states that the passage time is distributed as the sum of d independent exponential random variables with rates nu_j we give another proof of their theorem in the case of birthanddeath chains our proof leads to an explicit representation of the passage time as a sum of independent exponential random variables diaconis and miclo recently obtained the first such representation but our construction is much simpler we obtain similar and new results for a fastest strong stationary time t of an ergodic continuoustime skipfree chain with stochastically monotone timereversal started in state 0 and we also obtain discretetime analogs of all our results in the papers final section we present extensions of our results to more general chains | [['an', 'upward', 'skipfree', 'markov', 'chain', 'with', 'the', 'set', 'of', 'nonnegative', 'integers', 'as', 'state', 'space', 'is', 'a', 'chain', 'for', 'which', 'upward', 'jumps', 'may', 'be', 'only', 'of', 'unit', 'size', 'there', 'is', 'no', 'restriction', 'on', 'downward', 'jumps', 'in', 'a', '1987', 'paper', 'brown', 'and', 'shao', 'determined', 'for', 'an', 'irreducible', 'continuoustime', 'skipfree', 'chain', 'and', 'any', 'd', 'the', 'passage', 'time', 'distribution', 'from', 'state', '0', 'to', 'state', 'd', 'when', 'the', 'nonzero', 'eigenvalues', 'nu_j', 'of', 'the', 'generator', 'are', 'all', 'real', 'their', 'result', 'states', 'that', 'the', 'passage', 'time', 'is', 'distributed', 'as', 'the', 'sum', 'of', 'd', 'independent', 'exponential', 'random', 'variables', 'with', 'rates', 'nu_j', 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708.4259 | Phonon anharmonicities in graphite and graphene | We determine from first-principles the finite-temperature
properties--linewidths, line shifts, and lifetimes--of the key vibrational
modes that dominate inelastic losses in graphitic materials. In graphite, the
phonon linewidth of the Raman-active E2g mode is found to decrease with
temperature; such anomalous behavior is driven entirely by electron-phonon
interactions, and does not appear in the nearly-degenerate infrared-active E1u
mode. In graphene, the phonon anharmonic lifetimes and decay channels of the
A'1 mode at K dominate over E2g at G and couple strongly with acoustic phonons,
highlighting how ballistic transport in carbon-based interconnects requires
careful engineering of phonon decays and thermalization.
| cond-mat.mtrl-sci | we determine from firstprinciples the finitetemperature propertieslinewidths line shifts and lifetimesof the key vibrational modes that dominate inelastic losses in graphitic materials in graphite the phonon linewidth of the ramanactive e2g mode is found to decrease with temperature such anomalous behavior is driven entirely by electronphonon interactions and does not appear in the nearlydegenerate infraredactive e1u mode in graphene the phonon anharmonic lifetimes and decay channels of the a1 mode at k dominate over e2g at g and couple strongly with acoustic phonons highlighting how ballistic transport in carbonbased interconnects requires careful engineering of phonon decays and thermalization | [['we', 'determine', 'from', 'firstprinciples', 'the', 'finitetemperature', 'propertieslinewidths', 'line', 'shifts', 'and', 'lifetimesof', 'the', 'key', 'vibrational', 'modes', 'that', 'dominate', 'inelastic', 'losses', 'in', 'graphitic', 'materials', 'in', 'graphite', 'the', 'phonon', 'linewidth', 'of', 'the', 'ramanactive', 'e2g', 'mode', 'is', 'found', 'to', 'decrease', 'with', 'temperature', 'such', 'anomalous', 'behavior', 'is', 'driven', 'entirely', 'by', 'electronphonon', 'interactions', 'and', 'does', 'not', 'appear', 'in', 'the', 'nearlydegenerate', 'infraredactive', 'e1u', 'mode', 'in', 'graphene', 'the', 'phonon', 'anharmonic', 'lifetimes', 'and', 'decay', 'channels', 'of', 'the', 'a1', 'mode', 'at', 'k', 'dominate', 'over', 'e2g', 'at', 'g', 'and', 'couple', 'strongly', 'with', 'acoustic', 'phonons', 'highlighting', 'how', 'ballistic', 'transport', 'in', 'carbonbased', 'interconnects', 'requires', 'careful', 'engineering', 'of', 'phonon', 'decays', 'and', 'thermalization']] | [-0.15010124419738227, 0.31632031572128955, -0.031674006141959886, -0.04370181165237833, -0.05488569323400346, -0.16886651534393118, 0.09548143765641726, 0.4380942266434431, -0.28634885565406876, -0.1723603259694452, -0.059158294688434886, -0.39538056069674593, -0.09893788450669187, 0.19231450559163932, 0.09891615561112606, -0.009419715284214666, 0.03565577591264931, -0.074728570485604, 0.017802300689557644, -0.1323659383051563, 0.22995814976942106, 0.045211563134216703, 0.3481075107071471, 0.1345352518352835, -0.03860769755556248, 0.014504195355887836, 0.0676067134021044, -0.06706163014435636, -0.16163036630109673, 0.027799686513996374, 0.30992841055073467, -0.158400671556592, 0.21505177923245355, -0.45689267622462165, -0.21140097256284207, 0.02421093675851201, 0.21887854648715196, 0.15612696862323597, 0.02773751686133134, -0.1858382444285477, -0.00998371679452248, -0.07673047656840026, -0.08175352390632422, -0.09855448871530825, 0.0035053680221608374, -0.045474298892562125, -0.1886597003758652, 0.17082445368093127, 0.027899798088280175, 0.09224683242306735, -0.08727886902731068, -0.1581520410545636, -0.10170235130196185, 0.023992764375482995, 0.07344265966336631, -0.03918991200528884, 0.24236966667861756, -0.07454887222653876, -0.09580070594787078, 0.4175699870490159, -0.11763371064444073, -0.052868978440528736, 0.18667905346956104, -0.17660473133582855, -0.04525064435923317, 0.24446522094755588, 0.11952538274150963, 0.05132248537847772, -0.1199824044694348, 0.045199137211966445, 0.10193348661020234, 0.1674403699192529, 0.08189283168515733, 0.17303910059005526, 0.21912892751667337, 0.17605041428032564, -0.03924903608276509, 0.08891836219117977, -0.07906181680057973, 0.03377777600690024, -0.25256062609453994, -0.11900586008414393, -0.20637297656776354, 0.09114306494439006, -0.017249756870266236, -0.18975533220024468, 0.40543412886715186, 0.08940003332524309, 0.1587380098644644, -0.03470353728819949, 0.23023704464624947, 0.1414047108749704, 0.13881772576617854, 0.07641517020723161, 0.3401529914020405, 0.2233105483004086, 0.08904112811190619, -0.420536674677957, -0.004040701984801369, -0.04892367517459206] |
708.426 | Driven waves in a two-fluid plasma | We study the physics of wave propagation in a weakly ionised plasma, as it
applies to the formation of multifluid, MHD shock waves. We model the plasma as
separate charged and neutral fluids which are coupled by ion-neutral friction.
At times much less than the ion-neutral drag time, the fluids are decoupled and
so evolve independently. At later times, the evolution is determined by the
large inertial mismatch between the charged and neutral particles. The neutral
flow continues to evolve independently; the charged flow is driven by and
slaved to the neutral flow by friction. We calculate this driven flow
analytically by considering the special but realistic case where the charged
fluid obeys linearized equations of motion. We carry out an extensive analysis
of linear, driven, MHD waves. The physics of driven MHD waves is embodied in
certain Green functions which describe wave propagation on short time scales,
ambipolar diffusion on long time scales, and transitional behavior at
intermediate times. By way of illustration, we give an approximate solution for
the formation of a multifluid shock during the collision of two identical
interstellar clouds. The collision produces forward- and reverse J shocks in
the neutral fluid and a transient in the charged fluid. The latter rapidly
evolves into a pair of magnetic precursors on the J shocks, wherein the ions
undergo force free motion and the magnetic field grows monotonically with time.
The flow appears to be self similar at the time when linear analysis ceases to
be valid.
| astro-ph | we study the physics of wave propagation in a weakly ionised plasma as it applies to the formation of multifluid mhd shock waves we model the plasma as separate charged and neutral fluids which are coupled by ionneutral friction at times much less than the ionneutral drag time the fluids are decoupled and so evolve independently at later times the evolution is determined by the large inertial mismatch between the charged and neutral particles the neutral flow continues to evolve independently the charged flow is driven by and slaved to the neutral flow by friction we calculate this driven flow analytically by considering the special but realistic case where the charged fluid obeys linearized equations of motion we carry out an extensive analysis of linear driven mhd waves the physics of driven mhd waves is embodied in certain green functions which describe wave propagation on short time scales ambipolar diffusion on long time scales and transitional behavior at intermediate times by way of illustration we give an approximate solution for the formation of a multifluid shock during the collision of two identical interstellar clouds the collision produces forward and reverse j shocks in the neutral fluid and a transient in the charged fluid the latter rapidly evolves into a pair of magnetic precursors on the j shocks wherein the ions undergo force free motion and the magnetic field grows monotonically with time the flow appears to be self similar at the time when linear analysis ceases to be valid | [['we', 'study', 'the', 'physics', 'of', 'wave', 'propagation', 'in', 'a', 'weakly', 'ionised', 'plasma', 'as', 'it', 'applies', 'to', 'the', 'formation', 'of', 'multifluid', 'mhd', 'shock', 'waves', 'we', 'model', 'the', 'plasma', 'as', 'separate', 'charged', 'and', 'neutral', 'fluids', 'which', 'are', 'coupled', 'by', 'ionneutral', 'friction', 'at', 'times', 'much', 'less', 'than', 'the', 'ionneutral', 'drag', 'time', 'the', 'fluids', 'are', 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708.4261 | World Sheet Commuting \beta\gamma CFT and Non-Relativistic String
Theories | We construct a sigma model in two dimensions with Galilean symmetry in flat
target space similar to the sigma model of the critical string theory with
Lorentz symmetry in 10 flat spacetime dimensions. This is motivated by the
works of Gomis and Ooguri\cite{Gomis:2000bd} and Danielsson et. al.
\cite{Danielsson:2000gi, Danielsson:2000mu}. Our theory is much simpler than
their theory and does not assume a compact coordinate. This non-relativistic
string theory has a bosonic matter $\beta\gamma$ CFT with the conformal weight
of $\beta$ as 1. It is natural to identify time as a linear combination of
$\gamma$ and $\bar{\gamma}$ through an explicit realization of the Galilean
boost symmetry. The angle between $\gamma$ and $\bar{\gamma}$ parametrizes one
parameter family of selection sectors. These selection sectors are responsible
for having a non-relativistic dispersion relation without a nontrivial topology
in the non-relativistic setup, which is one of the major differences from the
previous works\cite{Gomis:2000bd, Danielsson:2000gi, Danielsson:2000mu}. This
simple theory is the non-relativistic analogue of the critical string theory,
and there are many different avenues ahead to be investigated. We mention a
possible consistent generalization of this theory with different conformal
weights for the $\beta\gamma$ CFT. We also mention supersymmetric
generalizations of these theories.
| hep-th | we construct a sigma model in two dimensions with galilean symmetry in flat target space similar to the sigma model of the critical string theory with lorentz symmetry in 10 flat spacetime dimensions this is motivated by the works of gomis and ooguricitegomis2000bd and danielsson et al citedanielsson2000gi danielsson2000mu our theory is much simpler than their theory and does not assume a compact coordinate this nonrelativistic string theory has a bosonic matter betagamma cft with the conformal weight of beta as 1 it is natural to identify time as a linear combination of gamma and bargamma through an explicit realization of the galilean boost symmetry the angle between gamma and bargamma parametrizes one parameter family of selection sectors these selection sectors are responsible for having a nonrelativistic dispersion relation without a nontrivial topology in the nonrelativistic setup which is one of the major differences from the previous workscitegomis2000bd danielsson2000gi danielsson2000mu this simple theory is the nonrelativistic analogue of the critical string theory and there are many different avenues ahead to be investigated we mention a possible consistent generalization of this theory with different conformal weights for the betagamma cft we also mention supersymmetric generalizations of these theories | [['we', 'construct', 'a', 'sigma', 'model', 'in', 'two', 'dimensions', 'with', 'galilean', 'symmetry', 'in', 'flat', 'target', 'space', 'similar', 'to', 'the', 'sigma', 'model', 'of', 'the', 'critical', 'string', 'theory', 'with', 'lorentz', 'symmetry', 'in', '10', 'flat', 'spacetime', 'dimensions', 'this', 'is', 'motivated', 'by', 'the', 'works', 'of', 'gomis', 'and', 'ooguricitegomis2000bd', 'and', 'danielsson', 'et', 'al', 'citedanielsson2000gi', 'danielsson2000mu', 'our', 'theory', 'is', 'much', 'simpler', 'than', 'their', 'theory', 'and', 'does', 'not', 'assume', 'a', 'compact', 'coordinate', 'this', 'nonrelativistic', 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708.4262 | The spectral sequence of an equivariant chain complex and homology with
local coefficients | We study the spectral sequence associated to the filtration by powers of the
augmentation ideal on the (twisted) equivariant chain complex of the universal
cover of a connected CW-complex X. In the process, we identify the d^1
differential in terms of the coalgebra structure of H_*(X,\k), and the
\k\pi_1(X)-module structure on the twisting coefficients. In particular, this
recovers in dual form a result of Reznikov, on the mod p cohomology of cyclic
p-covers of aspherical complexes. This approach provides information on the
homology of all Galois covers of X. It also yields computable upper bounds on
the ranks of the cohomology groups of X, with coefficients in a prime-power
order, rank one local system. When X admits a minimal cell decomposition, we
relate the linearization of the equivariant cochain complex of the universal
abelian cover to the Aomoto complex, arising from the cup-product structure of
H^*(X,\k), thereby generalizing a result of Cohen and Orlik.
| math.AT math.GT | we study the spectral sequence associated to the filtration by powers of the augmentation ideal on the twisted equivariant chain complex of the universal cover of a connected cwcomplex x in the process we identify the d1 differential in terms of the coalgebra structure of h_xk and the kpi_1xmodule structure on the twisting coefficients in particular this recovers in dual form a result of reznikov on the mod p cohomology of cyclic pcovers of aspherical complexes this approach provides information on the homology of all galois covers of x it also yields computable upper bounds on the ranks of the cohomology groups of x with coefficients in a primepower order rank one local system when x admits a minimal cell decomposition we relate the linearization of the equivariant cochain complex of the universal abelian cover to the aomoto complex arising from the cupproduct structure of hxk thereby generalizing a result of cohen and orlik | [['we', 'study', 'the', 'spectral', 'sequence', 'associated', 'to', 'the', 'filtration', 'by', 'powers', 'of', 'the', 'augmentation', 'ideal', 'on', 'the', 'twisted', 'equivariant', 'chain', 'complex', 'of', 'the', 'universal', 'cover', 'of', 'a', 'connected', 'cwcomplex', 'x', 'in', 'the', 'process', 'we', 'identify', 'the', 'd1', 'differential', 'in', 'terms', 'of', 'the', 'coalgebra', 'structure', 'of', 'h_xk', 'and', 'the', 'kpi_1xmodule', 'structure', 'on', 'the', 'twisting', 'coefficients', 'in', 'particular', 'this', 'recovers', 'in', 'dual', 'form', 'a', 'result', 'of', 'reznikov', 'on', 'the', 'mod', 'p', 'cohomology', 'of', 'cyclic', 'pcovers', 'of', 'aspherical', 'complexes', 'this', 'approach', 'provides', 'information', 'on', 'the', 'homology', 'of', 'all', 'galois', 'covers', 'of', 'x', 'it', 'also', 'yields', 'computable', 'upper', 'bounds', 'on', 'the', 'ranks', 'of', 'the', 'cohomology', 'groups', 'of', 'x', 'with', 'coefficients', 'in', 'a', 'primepower', 'order', 'rank', 'one', 'local', 'system', 'when', 'x', 'admits', 'a', 'minimal', 'cell', 'decomposition', 'we', 'relate', 'the', 'linearization', 'of', 'the', 'equivariant', 'cochain', 'complex', 'of', 'the', 'universal', 'abelian', 'cover', 'to', 'the', 'aomoto', 'complex', 'arising', 'from', 'the', 'cupproduct', 'structure', 'of', 'hxk', 'thereby', 'generalizing', 'a', 'result', 'of', 'cohen', 'and', 'orlik']] | [-0.2072363454194752, 0.04466181415571085, -0.08621451315556387, 0.04594241732826916, -0.06797929637331442, -0.08694858796931557, 0.02160304931411828, 0.30570443707290074, -0.3519180995591034, -0.21090619337578484, 0.09037596270340242, -0.2110253507949856, -0.16289861402659375, 0.19638116308642145, -0.13973397170717747, -0.03287365012694249, 0.025393238456130323, 0.1324588272810007, -0.08720494861350647, -0.2629670642855244, 0.41242226252690056, -0.015998917545457153, 0.21089028087845504, 0.029073392318574007, 0.1313811467423887, 0.022852587701740448, -0.05200208329429098, -0.021209747274945928, -0.17379388272984336, 0.19548550490536634, 0.2715470286962015, 0.04291232508477687, 0.15163373052851267, -0.351512141575087, -0.12963222260802787, 0.15668569283177522, 0.08409771891557519, 0.006227698556412727, 0.038246559667623053, -0.2364089484234026, 0.1256699127010964, -0.1750978942280512, -0.13930550874180056, -0.06979741266811428, 0.04117465631138928, 0.027659585155139596, -0.24001234912564853, 0.014193314952361058, 0.11984845661922106, 0.09871061662322261, -0.062329635000941866, -0.09583897018629367, -0.07478583729301659, 0.09862367911761571, -0.03206995448782972, 0.0326969764597825, 0.10262241647794645, -0.12463721300826858, -0.11806280162210102, 0.36971064636927864, -0.0756201439433799, -0.19708503939562927, 0.12357932483678721, -0.1774952750905904, -0.1944516918541777, 0.18671524892283592, 0.07892164142975053, 0.16495522783952765, 0.009975532458270962, 0.21199624044805246, -0.13236742440167049, 0.09243779081468846, 0.09715844135706787, -0.007824801345315718, 0.10593533576682013, 0.12125482981013047, 0.09214209503685401, 0.14824917998214235, -0.014114931129020892, -0.06106896227754156, -0.32569913936174466, -0.21819810143098334, -0.1274537062280139, 0.16180831660510392, -0.13753545461419125, -0.18448262313297573, 0.4409836019429421, 0.07010135163506633, 0.21812843229461287, 0.09100072912637465, 0.2301230410515602, 0.04810660976349123, 0.05692507754949643, 0.003470801409111907, 0.09753826303586413, 0.23979538678660348, -0.013416471573468668, -0.1804360644012961, 0.008722696177328362, 0.2184695128246599] |
708.4263 | Screening of Coulomb Impurities in Graphene | We calculate exactly the vacuum polarization charge density in the field of a
subcritical Coulomb impurity, $Z|e|/r$, in graphene. Our analysis is based on
the exact electron Green's function, obtained by using the operator method, and
leads to results that are exact in the parameter $Z\alpha$, where $\alpha$ is
the "fine structure constant" of graphene. Taking into account also
electron-electron interactions in the Hartree approximation, we solve the
problem self-consistently in the subcritical regime, where the impurity has an
effective charge $Z_{eff}$, determined by the localized induced charge. We find
that an impurity with bare charge Z=1 remains subcritical, $Z_{eff} \alpha <
1/2$, for any $\alpha$, while impurities with $Z=2,3$ and higher can become
supercritical at certain values of $\alpha$.
| cond-mat.mes-hall cond-mat.mtrl-sci physics.atom-ph | we calculate exactly the vacuum polarization charge density in the field of a subcritical coulomb impurity zer in graphene our analysis is based on the exact electron greens function obtained by using the operator method and leads to results that are exact in the parameter zalpha where alpha is the fine structure constant of graphene taking into account also electronelectron interactions in the hartree approximation we solve the problem selfconsistently in the subcritical regime where the impurity has an effective charge z_eff determined by the localized induced charge we find that an impurity with bare charge z1 remains subcritical z_eff alpha 12 for any alpha while impurities with z23 and higher can become supercritical at certain values of alpha | [['we', 'calculate', 'exactly', 'the', 'vacuum', 'polarization', 'charge', 'density', 'in', 'the', 'field', 'of', 'a', 'subcritical', 'coulomb', 'impurity', 'zer', 'in', 'graphene', 'our', 'analysis', 'is', 'based', 'on', 'the', 'exact', 'electron', 'greens', 'function', 'obtained', 'by', 'using', 'the', 'operator', 'method', 'and', 'leads', 'to', 'results', 'that', 'are', 'exact', 'in', 'the', 'parameter', 'zalpha', 'where', 'alpha', 'is', 'the', 'fine', 'structure', 'constant', 'of', 'graphene', 'taking', 'into', 'account', 'also', 'electronelectron', 'interactions', 'in', 'the', 'hartree', 'approximation', 'we', 'solve', 'the', 'problem', 'selfconsistently', 'in', 'the', 'subcritical', 'regime', 'where', 'the', 'impurity', 'has', 'an', 'effective', 'charge', 'z_eff', 'determined', 'by', 'the', 'localized', 'induced', 'charge', 'we', 'find', 'that', 'an', 'impurity', 'with', 'bare', 'charge', 'z1', 'remains', 'subcritical', 'z_eff', 'alpha', '12', 'for', 'any', 'alpha', 'while', 'impurities', 'with', 'z23', 'and', 'higher', 'can', 'become', 'supercritical', 'at', 'certain', 'values', 'of', 'alpha']] | [-0.1141069022054642, 0.19474570436419927, -0.013077285977857882, 0.07989926644703531, 0.02965558987205564, -0.14302866731896619, 0.039859633578058586, 0.35671033975431476, -0.21142226642281828, -0.25944910428912965, -0.003151873656414386, -0.3024666872806847, -0.09912728654788965, 0.1382880883954339, 0.09147860595988015, 0.008917965230821055, -0.02567775997380584, 0.002742820293090101, -0.07838949510606669, -0.20931944020400298, 0.34955620353694183, 0.022874623302259815, 0.23367847289132365, 0.1333535264514513, 0.05353114546781753, 0.0519159729829279, 0.05306428398195086, 0.04816194826547625, -0.1880057232511887, 0.02053427243885442, 0.20386992957466676, -0.06127960138196536, 0.267874629743855, -0.4408992634360063, -0.17884912733057656, 0.054489610535171575, 0.1842477492459308, 0.15715476932000147, -0.06034362058932656, -0.263839834117157, 0.07703685198152849, -0.14076764049734605, -0.1656586104782961, -0.04586779870787414, 0.03446462988494343, 0.03115530607193882, -0.31972872919523376, 0.1376037906378831, 0.024084660840236534, -0.025717720057878455, -0.12917274281568036, -0.12823916420585207, -0.05273469080319786, 0.09218763041120591, 0.04924253950100708, 0.07124553521368969, 0.16876989840806098, -0.15689771693649748, -0.029587822682145288, 0.3424912997189972, -0.08585886871422467, -0.1880187157635731, 0.09812404210797622, -0.22013262905559297, -0.10545556012035931, 0.16998996511417425, 0.09261389594461958, 0.1176804340902274, -0.11486413097995633, 0.20687878108484734, -0.007053916911807669, 0.18203481914223, 0.04679052770469275, 0.0026444949424762466, 0.15904695354796694, 0.12766800541430712, 0.08293377330439891, 0.10183331387125398, -0.10199462846355607, -0.07013984551747977, -0.25531865978392504, -0.11422700866449119, -0.2129170870274242, 0.09007623666301527, -0.14308770460257172, -0.18726070171174736, 0.37292590485693355, 0.13306110555511283, 0.2040847476820414, -0.006523378445940502, 0.24581588290126646, 0.24455923791205258, 0.04700009574594718, 0.06508686893887944, 0.25943678959225447, 0.12757933156967352, 0.0677717838503452, -0.2964129925989625, 0.00947044919623788, 0.10905413006992727] |
708.4264 | Regularity of a inverse problem for generic parabolic equations | The paper studies some inverse boundary value problem for simplest parabolic
equations such that the homogenuous Cauchy condition is ill posed at initial
time. Some regularity of the solution is established for a wide class of
boundary value inputs.
| math.AP math-ph math.MP | the paper studies some inverse boundary value problem for simplest parabolic equations such that the homogenuous cauchy condition is ill posed at initial time some regularity of the solution is established for a wide class of boundary value inputs | [['the', 'paper', 'studies', 'some', 'inverse', 'boundary', 'value', 'problem', 'for', 'simplest', 'parabolic', 'equations', 'such', 'that', 'the', 'homogenuous', 'cauchy', 'condition', 'is', 'ill', 'posed', 'at', 'initial', 'time', 'some', 'regularity', 'of', 'the', 'solution', 'is', 'established', 'for', 'a', 'wide', 'class', 'of', 'boundary', 'value', 'inputs']] | [-0.1469951325502151, 0.05134305305396899, -0.01918515894496336, 0.07461601158436866, -0.15452376175194216, -0.17168630202276966, -0.055713489600934855, 0.27368273356786144, -0.33064271466663253, -0.23779544645012954, 0.2825314852421005, -0.2617033976010787, -0.09938268373027825, 0.20265184784642395, -0.09638548428670336, 0.21937101009564522, 0.13058675481125903, 0.031242177654535342, -0.0884281613637144, -0.21400284915207288, 0.4322209195353282, -0.04183939844369888, 0.2303157355987097, 0.0777697683049318, 0.12441072956873821, -0.03772444054723168, 0.060124031065079644, 0.05536121292374073, -0.20217177231340125, 0.007778221809973893, 0.29436579919778383, 0.09191171901348309, 0.3715429211465212, -0.364781513523597, -0.2167329758596726, 0.13488597157769477, 0.050233834685805515, 0.08627928955814777, -0.057558443110722765, -0.25801578589165824, 0.09465623068479964, -0.05137922604066821, -0.26278912101705104, 0.04693982926889872, 0.058884820757577054, -0.021003392214576404, -0.3365054927670803, 0.12287661423667884, 0.052608168397385344, 0.02954826957713335, -0.21340182232551086, -0.11771767254536733, 0.03659642328961919, 0.04494673907995606, 0.08700656578637278, -0.014395069369735817, 0.029718755290676385, -0.1815072367540919, -0.004847176174501864, 0.3177393764878313, -0.001060482878715564, -0.2731954660744239, 0.1344564193023894, -0.11918281357830916, -0.1183551694624699, 0.07691634574140875, 0.1379453252809934, 0.18204709753776208, -0.17043602624191687, 0.15127391112634006, -0.14412947294588846, 0.10756495797958894, 0.13759133725976333, -0.042295673420318425, 0.08083548879203124, 0.17164863248427326, 0.15273783174462807, 0.10347769328225882, 0.006725347684457516, -0.09926076640542118, -0.395441081852485, -0.1584900430857371, -0.16420054598114428, 0.1246280274950923, -0.08559660766369258, -0.21831760980570927, 0.3605342315366635, 0.15839794660225892, 0.17227569946016258, 0.10211258567869663, 0.1931125341484753, 0.21351489018744382, -0.04082771104115706, 0.06754110736447053, 0.14744075605771145, 0.14122958523698914, 0.16852623008740827, -0.2218142563286118, 0.09472732663823244, 0.15723119193735796] |
708.4265 | Measurement of electro-magnetic radiation at RHIC-PHENIX | Recent results on direct photons and dileptons from the PHENIX experiment
opened up a possibility of landscaping electro-magnetic radiation over various
kinetic energies in heavy ion collisions. Results on direct photon measurement
in Au+Au collisions at $\sqrt{s_{NN}}$=200GeV are discussed from the point of
view of structure function and isospin effect. It is supported by the first
measurement of direct photons at $\sqrt{s_{NN}}$=62.4GeV in the same
collisional system.
| nucl-ex | recent results on direct photons and dileptons from the phenix experiment opened up a possibility of landscaping electromagnetic radiation over various kinetic energies in heavy ion collisions results on direct photon measurement in auau collisions at sqrts_nn200gev are discussed from the point of view of structure function and isospin effect it is supported by the first measurement of direct photons at sqrts_nn624gev in the same collisional system | [['recent', 'results', 'on', 'direct', 'photons', 'and', 'dileptons', 'from', 'the', 'phenix', 'experiment', 'opened', 'up', 'a', 'possibility', 'of', 'landscaping', 'electromagnetic', 'radiation', 'over', 'various', 'kinetic', 'energies', 'in', 'heavy', 'ion', 'collisions', 'results', 'on', 'direct', 'photon', 'measurement', 'in', 'auau', 'collisions', 'at', 'sqrts_nn200gev', 'are', 'discussed', 'from', 'the', 'point', 'of', 'view', 'of', 'structure', 'function', 'and', 'isospin', 'effect', 'it', 'is', 'supported', 'by', 'the', 'first', 'measurement', 'of', 'direct', 'photons', 'at', 'sqrts_nn624gev', 'in', 'the', 'same', 'collisional', 'system']] | [-0.07545053898215745, 0.22916828498074954, -0.125744701782947, 0.04134202704263964, 0.020526272519914943, -0.05941707003777, 0.005610391681054325, 0.35210315149390337, -0.2220090473790399, -0.31369773179970006, -0.06610330549654353, -0.3888849087595714, 0.06618980124987887, 0.24176445132065, 0.10781530947001143, 0.10914274571802128, 0.15144771887130584, -0.014237977349142911, -0.026814756124760166, -0.13611219567599508, 0.33197618270236434, 0.16454761351148287, 0.22890114432172567, 0.1920022703495554, 0.09582818457574556, 0.05853625400711528, -0.07558452391601873, -0.01955387858448155, -0.1044733603520206, 0.016187112003205006, 0.22623459536187124, 0.026735482352898653, 0.1891254605196247, -0.41935635970510315, -0.17195142114139866, 0.08356320369762904, 0.08607132498273683, 0.1374692754311995, -0.15001897953069684, -0.3059879771687768, 0.07054117142759038, -0.24021885950456967, -0.09099428551130448, 0.028338208787538337, -0.018538486988594133, 0.007300499006581076, -0.2754990227465786, 0.10060552749641691, -0.034733985494257824, 0.08267601103888768, -0.035932309847945966, -0.14363528567077027, -0.0314749153560225, 0.0008883113059158804, 0.06649049175691536, 0.051916172174087755, 0.1934995625422082, -0.14607927313596575, -0.16919477117445433, 0.38726149544571387, -0.029505287455818194, -0.10854893303335164, 0.22328987126379754, -0.24018512586498578, -0.12049588750850296, 0.20343727206768977, 0.20749918713982246, 0.102060169560101, -0.16420585245941766, 0.03847345682813532, -0.023534077120888414, 0.12158289818591694, 0.114294921605368, 0.09198871336764458, 0.24294600933507987, 0.17206025631590324, -0.007338551776201436, 0.09400516753036452, -0.06813005963340402, -0.06289474466448707, -0.37515630673222017, -0.11023233606564728, -0.19396218451473748, 0.06711060368935719, -0.039338954126199525, 0.01587161699055948, 0.35024605976474105, 0.12799449479489616, 0.22517198870297184, -0.06473787462649246, 0.3492899152139823, 0.0917642092840238, 0.037416652141308245, 0.03070230606350709, 0.3297321715702613, 0.15747786157369387, 0.1922066325558152, -0.24788667323688665, 0.008445837056955717, 0.023452234888364645] |
708.4266 | Absorbing boundary conditions for Einstein's field equations | A common approach for the numerical simulation of wave propagation on a
spatially unbounded domain is to truncate the domain via an artificial
boundary, thus forming a finite computational domain with an outer boundary.
Absorbing boundary conditions must then be specified at the boundary such that
the resulting initial-boundary value problem is well posed and such that the
amount of spurious reflection is minimized. In this article, we review recent
results on the construction of absorbing boundary conditions in General
Relativity and their application to numerical relativity.
| gr-qc | a common approach for the numerical simulation of wave propagation on a spatially unbounded domain is to truncate the domain via an artificial boundary thus forming a finite computational domain with an outer boundary absorbing boundary conditions must then be specified at the boundary such that the resulting initialboundary value problem is well posed and such that the amount of spurious reflection is minimized in this article we review recent results on the construction of absorbing boundary conditions in general relativity and their application to numerical relativity | [['a', 'common', 'approach', 'for', 'the', 'numerical', 'simulation', 'of', 'wave', 'propagation', 'on', 'a', 'spatially', 'unbounded', 'domain', 'is', 'to', 'truncate', 'the', 'domain', 'via', 'an', 'artificial', 'boundary', 'thus', 'forming', 'a', 'finite', 'computational', 'domain', 'with', 'an', 'outer', 'boundary', 'absorbing', 'boundary', 'conditions', 'must', 'then', 'be', 'specified', 'at', 'the', 'boundary', 'such', 'that', 'the', 'resulting', 'initialboundary', 'value', 'problem', 'is', 'well', 'posed', 'and', 'such', 'that', 'the', 'amount', 'of', 'spurious', 'reflection', 'is', 'minimized', 'in', 'this', 'article', 'we', 'review', 'recent', 'results', 'on', 'the', 'construction', 'of', 'absorbing', 'boundary', 'conditions', 'in', 'general', 'relativity', 'and', 'their', 'application', 'to', 'numerical', 'relativity']] | [-0.13013603867984366, 0.08987641519493551, -0.06789950604400673, -0.00465307835671494, -0.14336785459462767, -0.07949869722748797, 0.006093043684103023, 0.381667606136494, -0.3013384407279135, -0.26694240708482164, 0.2090862601481635, -0.22016679746066703, -0.13148667996792102, 0.16791815042024713, -0.09463695437786565, 0.10033626230861778, 0.08260241310090768, 0.014911506287539485, -0.07404183979071248, -0.21178309681514898, 0.37975076764779186, 0.015635976503635275, 0.23200641122871432, 0.0968743323765952, 0.08143573162820318, -0.040532911869418944, 0.0032521370750177524, 0.05274489387099085, -0.15392950763099628, 0.09936358831453554, 0.2529020154227813, 0.08824486330408475, 0.3115629934031388, -0.4820219799233922, -0.264719030709774, 0.060436332338735806, 0.1274201406437593, 0.12648700492392326, -0.06092983008571098, -0.30441688642376796, 0.08778925595976327, -0.11763133885788507, -0.1993352572979598, 0.027469136420337634, -0.005565802020759418, -0.037245748261519676, -0.3004571534372095, 0.06853781953111462, 0.031981135125742986, 0.03083739045407923, -0.13228632739862833, -0.05482948673273512, -0.019171169710120763, 0.09179756083343735, 0.045439485088526, 0.03104656327772757, 0.07210854425405462, -0.11506993070394657, -0.051681989873491825, 0.3598877061372516, -0.005931639765528427, -0.2927797033783348, 0.2510105500254652, -0.12504116259615644, -0.06489936410631428, 0.113324919731581, 0.16364930228640637, 0.14036446110741502, -0.13638307998791852, 0.09851014402684295, -0.07348576887499343, 0.1318845957217888, 0.10768548627223434, -0.025943659526301312, 0.18694613620521094, 0.14691783349971746, 0.12945903116708685, 0.15053820348513344, -0.0278777366065174, -0.09114646872280743, -0.40478790778366996, -0.1409074287977332, -0.20626799092124934, 0.03338842008355871, -0.09458138648087383, -0.2192244678521636, 0.3390267313211814, 0.16483177365628124, 0.15820553429403353, 0.037373625437846815, 0.30741747811265374, 0.16519499266113358, -0.0015635766629557844, 0.08290121259553165, 0.16854540454544897, 0.11376661056888172, 0.09564252185967119, -0.2538343823097389, 0.03472157883934206, 0.0580219240623644] |
708.4267 | Soft-pulse dynamical decoupling in a cavity | Dynamical decoupling is a coherent control technique where the intrinsic and
extrinsic couplings of a quantum system are effectively averaged out by
application of specially designed driving fields (refocusing pulse sequences).
This entails pumping energy into the system, which can be especially dangerous
when it has sharp spectral features like a cavity mode close to resonance. In
this work we show that such an effect can be avoided with properly constructed
refocusing sequences. To this end we construct the average Hamiltonian
expansion for the system evolution operator associated with a single ``soft''
pi-pulse. To second order in the pulse duration, we characterize a symmetric
pulse shape by three parameters, two of which can be turned to zero by shaping.
We express the effective Hamiltonians for several pulse sequences in terms of
these parameters, and use the results to analyze the structure of error
operators for controlled Jaynes-Cummings Hamiltonian. When errors are cancelled
to second order, numerical simulations show excellent qubit fidelity with
strongly-suppressed oscillator heating.
| quant-ph | dynamical decoupling is a coherent control technique where the intrinsic and extrinsic couplings of a quantum system are effectively averaged out by application of specially designed driving fields refocusing pulse sequences this entails pumping energy into the system which can be especially dangerous when it has sharp spectral features like a cavity mode close to resonance in this work we show that such an effect can be avoided with properly constructed refocusing sequences to this end we construct the average hamiltonian expansion for the system evolution operator associated with a single soft pipulse to second order in the pulse duration we characterize a symmetric pulse shape by three parameters two of which can be turned to zero by shaping we express the effective hamiltonians for several pulse sequences in terms of these parameters and use the results to analyze the structure of error operators for controlled jaynescummings hamiltonian when errors are cancelled to second order numerical simulations show excellent qubit fidelity with stronglysuppressed oscillator heating | [['dynamical', 'decoupling', 'is', 'a', 'coherent', 'control', 'technique', 'where', 'the', 'intrinsic', 'and', 'extrinsic', 'couplings', 'of', 'a', 'quantum', 'system', 'are', 'effectively', 'averaged', 'out', 'by', 'application', 'of', 'specially', 'designed', 'driving', 'fields', 'refocusing', 'pulse', 'sequences', 'this', 'entails', 'pumping', 'energy', 'into', 'the', 'system', 'which', 'can', 'be', 'especially', 'dangerous', 'when', 'it', 'has', 'sharp', 'spectral', 'features', 'like', 'a', 'cavity', 'mode', 'close', 'to', 'resonance', 'in', 'this', 'work', 'we', 'show', 'that', 'such', 'an', 'effect', 'can', 'be', 'avoided', 'with', 'properly', 'constructed', 'refocusing', 'sequences', 'to', 'this', 'end', 'we', 'construct', 'the', 'average', 'hamiltonian', 'expansion', 'for', 'the', 'system', 'evolution', 'operator', 'associated', 'with', 'a', 'single', 'soft', 'pipulse', 'to', 'second', 'order', 'in', 'the', 'pulse', 'duration', 'we', 'characterize', 'a', 'symmetric', 'pulse', 'shape', 'by', 'three', 'parameters', 'two', 'of', 'which', 'can', 'be', 'turned', 'to', 'zero', 'by', 'shaping', 'we', 'express', 'the', 'effective', 'hamiltonians', 'for', 'several', 'pulse', 'sequences', 'in', 'terms', 'of', 'these', 'parameters', 'and', 'use', 'the', 'results', 'to', 'analyze', 'the', 'structure', 'of', 'error', 'operators', 'for', 'controlled', 'jaynescummings', 'hamiltonian', 'when', 'errors', 'are', 'cancelled', 'to', 'second', 'order', 'numerical', 'simulations', 'show', 'excellent', 'qubit', 'fidelity', 'with', 'stronglysuppressed', 'oscillator', 'heating']] | [-0.14146063556020125, 0.16758832156669884, -0.08159460341728224, 0.07784844443582498, -0.02695900571487117, -0.15254861264980807, 0.005968795100471187, 0.42241448167393486, -0.28307517867523996, -0.30900879781238916, 0.10560427791589484, -0.22806273301972485, -0.14263596029372932, 0.21918572492261484, -0.05503897313823605, 0.06151822733120686, 0.07183314721304469, 0.0324517975819706, -0.06026186901513805, -0.2035495445328174, 0.30969477992039174, 0.05204885350980387, 0.23615354170636615, 0.000390788798629329, 0.09260472087416707, 0.005474038567937408, 0.060556249020098735, -0.014867473711691252, -0.0960238988459534, 0.08432578354954674, 0.22933663086534092, 0.03619679044818551, 0.24861901791385807, -0.41518020180690035, -0.22292971900073674, 0.10089924010283473, 0.1755068258486373, 0.15601628596707043, -0.023061833398348493, -0.2914920694069801, 0.06102591426191261, -0.16499352154730842, -0.12710685782697442, -0.12552532818304693, -0.01902597213572845, 0.04432551725199673, -0.3077438403671272, 0.02326375334548463, 0.06874281338330149, 0.023271813751595868, -0.03250027028701791, -0.016062802966632993, -0.001266972363781661, 0.14029449739219427, 0.008669377044808664, 0.010469258212762681, 0.14134599699173123, -0.09488261444778068, -0.09688158380151612, 0.3430729547583657, -0.09883624605093401, -0.20306202474833898, 0.11578833990554302, -0.12943914710407758, -0.06993110318350174, 0.1358063242216481, 0.15411656478948027, 0.09440610747111439, -0.16792551520564125, 0.030486266525524736, 0.06095097335509774, 0.2216130561222288, 0.07693602352562111, 0.0652860425690916, 0.18711705123806918, 0.11651578418933219, 0.060325938390877396, 0.1883427826496034, -0.06550879197560035, -0.10039664481039991, -0.2818439724378106, -0.10458120900325522, -0.17391434138432776, 0.07290336173652422, -0.06759169427149152, -0.13285954775453387, 0.4437746785910482, 0.15092444992567436, 0.1752448362942853, 0.00258608934861358, 0.2998387994097046, 0.19791485158238198, 0.0716991054267543, 0.023009621163421288, 0.25187723280112373, 0.12093242530841608, 0.05108454090929249, -0.2846908847831201, -0.0002788874894244278, 0.04398929717007843] |
708.4268 | Shell model study of the pairing correlations | A systematic study of the pairing correlations as a function of temperature
and angular momentum has been performed in the sd-shell region using the
spherical shell model approach. The pairing correlations have been derived for
even-even, even-odd and odd-odd systems near N=Z and also for the asymmetric
case of N=Z+4. The results indicate that the pairing content and the behavior
of pair correlations is similar in even-even and odd-mass nuclei. For odd-odd
N=Z system, angular momentum I=0 state is an isospin, t=1 neutron-proton paired
configuration. Further, these t=1 correlations are shown to be dramatically
reduced for the asymmetric case of N=Z+4. The shell model results obtained are
qualitatively explained within a simplified degenerate model.
| nucl-th | a systematic study of the pairing correlations as a function of temperature and angular momentum has been performed in the sdshell region using the spherical shell model approach the pairing correlations have been derived for eveneven evenodd and oddodd systems near nz and also for the asymmetric case of nz4 the results indicate that the pairing content and the behavior of pair correlations is similar in eveneven and oddmass nuclei for oddodd nz system angular momentum i0 state is an isospin t1 neutronproton paired configuration further these t1 correlations are shown to be dramatically reduced for the asymmetric case of nz4 the shell model results obtained are qualitatively explained within a simplified degenerate model | [['a', 'systematic', 'study', 'of', 'the', 'pairing', 'correlations', 'as', 'a', 'function', 'of', 'temperature', 'and', 'angular', 'momentum', 'has', 'been', 'performed', 'in', 'the', 'sdshell', 'region', 'using', 'the', 'spherical', 'shell', 'model', 'approach', 'the', 'pairing', 'correlations', 'have', 'been', 'derived', 'for', 'eveneven', 'evenodd', 'and', 'oddodd', 'systems', 'near', 'nz', 'and', 'also', 'for', 'the', 'asymmetric', 'case', 'of', 'nz4', 'the', 'results', 'indicate', 'that', 'the', 'pairing', 'content', 'and', 'the', 'behavior', 'of', 'pair', 'correlations', 'is', 'similar', 'in', 'eveneven', 'and', 'oddmass', 'nuclei', 'for', 'oddodd', 'nz', 'system', 'angular', 'momentum', 'i0', 'state', 'is', 'an', 'isospin', 't1', 'neutronproton', 'paired', 'configuration', 'further', 'these', 't1', 'correlations', 'are', 'shown', 'to', 'be', 'dramatically', 'reduced', 'for', 'the', 'asymmetric', 'case', 'of', 'nz4', 'the', 'shell', 'model', 'results', 'obtained', 'are', 'qualitatively', 'explained', 'within', 'a', 'simplified', 'degenerate', 'model']] | [-0.10467352495158723, 0.15508150317132927, -0.10908802797452413, 0.18278972304584126, 0.06446268659575642, -0.13829371320233413, 0.012845181754008601, 0.38409410764662816, -0.18234399805494053, -0.27243397892120164, -0.05333648428495508, -0.3029408383621818, -0.03449156805124533, 0.14388551441827854, 0.0950986057861363, 0.012846579717006534, 0.046926788095983545, 0.038110151496117135, -0.1336068298696773, -0.19274774737069883, 0.3444147435095926, 0.0792277198384649, 0.27421572599892635, 0.0742187132127583, 0.0026751478684933056, 0.028462795418038565, 0.061470959385457845, 0.005533733618254441, -0.09810098031376972, 0.02645863576825442, 0.24971047293053875, 0.008971233631850086, 0.1451793299222897, -0.3843332270127056, -0.19118448499024712, 0.10962983494391665, 0.2226928751250463, 0.1803254872107313, -0.05383020534645766, -0.31664022897686145, 0.025755591349609728, -0.2897691965668595, -0.19343668143847026, -0.1264745867145913, 0.0569467963068746, 0.0751927264666717, -0.2644526267124872, 0.12297408733008654, 0.07914362933661323, 0.08246981262137913, -0.12443037087047872, -0.24780328683950106, -0.08112772569542617, 0.06245059442257376, 0.09233485652761633, 0.009521003779289978, 0.10354779906837004, -0.08319390923134051, -0.04387376905443879, 0.36059526640123557, 0.04711446591162322, -0.1634643345605582, 0.0935144201399193, -0.13052051106933504, -0.09447652245996453, 0.14543048752238974, 0.12608493143852684, 0.11723618691238309, -0.12291372084291652, 0.0823608933772318, -0.06695626248256303, 0.1813345354249967, 0.01089284149046372, 0.06926339278912305, 0.17159601034342944, 0.1649211907247913, -0.012865744154883682, 0.09745656156051805, -0.18434759267672365, -0.16321873945084267, -0.2727058245301513, -0.09677763138565101, -0.18019523576809401, -0.0031591140640167786, -0.02348821025991908, -0.06115718165606917, 0.38619605551606845, 0.0021239977961938295, 0.21010185073574966, -0.022698390927481733, 0.22235980651125178, 0.094740463249244, 0.06332680351208962, 0.024859722372119513, 0.30446543745763066, 0.18066697468332546, 0.07080484888449844, -0.34092242296485764, 0.05263672984853786, 0.02769498768196042] |
708.4269 | Van der Waals interactions in DFT made easy by Wannier functions | Ubiquitous Van der Waals interactions between atoms and molecules are
important for many molecular and solid structures. These systems are often
studied from first principles using the Density Functional Theory (DFT).
However, the commonly used DFT functionals fail to capture the essence of Van
der Waals effects. Many attempts to correct for this problem have been
proposed, which are not completely satisfactory because they are either very
complex and computationally expensive or have a basic semiempirical character.
We here describe a novel approach, based on the use of the Maximally-Localized
Wannier functions, that appears to be promising, being simple, efficient,
accurate, and transferable (charge polarization effects are naturally
included). The results of test applications are presented.
| cond-mat.mtrl-sci | ubiquitous van der waals interactions between atoms and molecules are important for many molecular and solid structures these systems are often studied from first principles using the density functional theory dft however the commonly used dft functionals fail to capture the essence of van der waals effects many attempts to correct for this problem have been proposed which are not completely satisfactory because they are either very complex and computationally expensive or have a basic semiempirical character we here describe a novel approach based on the use of the maximallylocalized wannier functions that appears to be promising being simple efficient accurate and transferable charge polarization effects are naturally included the results of test applications are presented | [['ubiquitous', 'van', 'der', 'waals', 'interactions', 'between', 'atoms', 'and', 'molecules', 'are', 'important', 'for', 'many', 'molecular', 'and', 'solid', 'structures', 'these', 'systems', 'are', 'often', 'studied', 'from', 'first', 'principles', 'using', 'the', 'density', 'functional', 'theory', 'dft', 'however', 'the', 'commonly', 'used', 'dft', 'functionals', 'fail', 'to', 'capture', 'the', 'essence', 'of', 'van', 'der', 'waals', 'effects', 'many', 'attempts', 'to', 'correct', 'for', 'this', 'problem', 'have', 'been', 'proposed', 'which', 'are', 'not', 'completely', 'satisfactory', 'because', 'they', 'are', 'either', 'very', 'complex', 'and', 'computationally', 'expensive', 'or', 'have', 'a', 'basic', 'semiempirical', 'character', 'we', 'here', 'describe', 'a', 'novel', 'approach', 'based', 'on', 'the', 'use', 'of', 'the', 'maximallylocalized', 'wannier', 'functions', 'that', 'appears', 'to', 'be', 'promising', 'being', 'simple', 'efficient', 'accurate', 'and', 'transferable', 'charge', 'polarization', 'effects', 'are', 'naturally', 'included', 'the', 'results', 'of', 'test', 'applications', 'are', 'presented']] | [-0.050741234453041746, 0.07059854801728166, -0.08987270968671134, 0.145834942409018, -0.06410627328822839, -0.16152604964786563, -0.010937266181231123, 0.40009961822592044, -0.2502903275368414, -0.2876784153431172, 0.019489550641898452, -0.28185308755150645, -0.24460381665467767, 0.21400901262351343, -0.01426990650963552, 0.1109714280645331, 0.0356155406715798, -0.07141858300772207, -0.06345106685004229, -0.24791670899741866, 0.28824526837882425, 0.05599402013266909, 0.2680910548139042, 0.0864353932877842, 0.03053237861905504, 0.0023675797093691752, 0.03126446189557539, 0.05291602623664999, -0.14275148303022434, 0.20245332224194185, 0.3305514578783788, 0.008504292464028273, 0.2950538931342227, -0.5466211992155375, -0.23091231651026115, 0.033365655853011614, 0.0988170221339558, 0.19418583190091684, -0.05941562744857069, -0.24808315600465244, 0.06684986116958717, -0.1917832632637422, -0.05768960034314158, -0.20193364689337864, 0.021236678380679726, 0.11196702700168505, -0.21991000547282527, 0.11634887734042673, 0.0033231797901078545, 0.010815097548966777, -0.04959243871191324, -0.16293707715973643, 0.007275512218194339, 0.12810128628364603, -0.02136014116895867, 0.003541001536209008, 0.1540340825770821, -0.07506360883166178, -0.06271760489647116, 0.4530949359679402, 0.014926582119218877, -0.19271615610040468, 0.2882790887619947, -0.04603691492028984, -0.16554795114468013, 0.12906422334369913, 0.11095400585026223, 0.12473073717937323, -0.18585922461051238, 0.08874581325277366, 0.027825120614705094, 0.17437812839012495, 0.07157031557892032, 0.056802192538302265, 0.2285592412046189, 0.10054231795947999, -0.010043660344371316, 0.03403825308136032, -0.033073685186160405, -0.12752453969984218, -0.22020723662692412, -0.14346184882278662, -0.24420051883448493, 0.003833572599432955, 0.0037625600380124524, -0.2340068749376926, 0.34046601030397516, 0.14813710528361643, 0.14206934879244915, -0.020332549603310702, 0.2902001513625848, 0.10346431933455812, 0.08835351930786695, 0.017661998417742294, 0.26953626698854477, 0.1296569825840536, 0.035477904546684744, -0.15778866438757114, 0.09379222797599204, 0.052856516171294936] |
708.427 | New Construction of \Delta-Operator in Field-Antifield Formalism | It is proven that the nilpotent $\Delta$-operator in the field-antifield
formalism can be constructed in terms of an antisymplectic structure only.
| hep-th | it is proven that the nilpotent deltaoperator in the fieldantifield formalism can be constructed in terms of an antisymplectic structure only | [['it', 'is', 'proven', 'that', 'the', 'nilpotent', 'deltaoperator', 'in', 'the', 'fieldantifield', 'formalism', 'can', 'be', 'constructed', 'in', 'terms', 'of', 'an', 'antisymplectic', 'structure', 'only']] | [-0.13201240130833217, 0.10509690893550647, -0.14752881193444842, 0.07908526411656999, -0.07628526263648555, -0.0943872570281937, -0.11296551053722699, 0.3657191154502687, -0.30620831304362844, -0.23671344703152067, 0.06903291373912777, -0.17876997776329517, -0.22203449000205314, 0.1810495997113841, -0.14233021522384315, -0.04761319279315926, 0.011112336424135026, 0.11751434195875413, -0.10031682770654914, -0.2927828809312944, 0.3124575008239065, 0.024724237532133146, 0.23052487291750454, 0.030772522202737275, 0.11471799379658132, 0.012437343353494293, 0.03309353880052056, 0.026787882227273213, -0.03604967669491002, 0.08630247524983826, 0.28337937212061315, 0.09693415746802375, 0.1502483310732281, -0.36925518078108627, -0.17870489312779336, 0.11735268398409798, 0.18550823373897446, 0.08524493802161444, 0.0009546315386181785, -0.2993720281159594, 0.11533153332060292, -0.21827748816992557, -0.2000367831704872, -0.1668675478015627, 0.03216053119727543, -0.11835481598973274, -0.2304017745717872, -0.020639056694649514, 0.06811847839327086, 0.006489772648949709, -0.05540435982956773, -0.04586723075217811, -0.14022259910901388, 0.06808291437725227, -0.012870635759706298, 0.05867307300546339, 0.07091429732030347, -0.05605056394068968, -0.08097247557625883, 0.38837736649882226, -0.06370918625699622, -0.32492845523215474, 0.07498823691691671, -0.11177166396131118, -0.16214277985550107, 0.09544591339571136, 0.03225033455306575, 0.22864283177824246, -0.2158822099306798, 0.25302981004296315, -0.10446512468513988, 0.12258089191856839, 0.08273538268570389, 0.0009517913817295007, 0.13302127227541946, 0.1097782122059947, 0.047313498865280836, 0.055190551931792425, 0.06251888733268493, -0.061188358547432084, -0.3486593731102489, -0.1693242261661951, -0.1976410872524693, 0.10129408649213258, -0.07594422639037172, -0.13800575335820517, 0.370916842349938, 0.08496971860794085, 0.15312916656867379, -0.0004488200481448855, 0.2051246773806356, 0.20349315199114026, 0.12692153049145072, 0.05800507532521373, 0.23723482531273649, 0.1967351415327617, -0.018277778866745177, -0.19659867758829414, 0.04041413290958319, 0.16099926980123633] |
708.4271 | Canonical 2-forms on the moduli space of Riemann surfaces | As was shown by Harer the second homology of ${\mathbb M}_g$, the moduli
space of compact Riemann surfaces of genus $g$, is of rank 1, provided $g \geq
3$. This means a nontrivial second de Rham cohomology class on ${\mathbb M}_g$
is unique up to constant factor. But several canonical 2-forms on the moduli
space have been constructed in various geometric contexts, and differ from each
other. In this article we review some of constructions in order to provide
materials for future research on "secondary geometry" of the moduli space
${\mathbb M}_g$.
| math.GT math.AG | as was shown by harer the second homology of mathbb m_g the moduli space of compact riemann surfaces of genus g is of rank 1 provided g geq 3 this means a nontrivial second de rham cohomology class on mathbb m_g is unique up to constant factor but several canonical 2forms on the moduli space have been constructed in various geometric contexts and differ from each other in this article we review some of constructions in order to provide materials for future research on secondary geometry of the moduli space mathbb m_g | [['as', 'was', 'shown', 'by', 'harer', 'the', 'second', 'homology', 'of', 'mathbb', 'm_g', 'the', 'moduli', 'space', 'of', 'compact', 'riemann', 'surfaces', 'of', 'genus', 'g', 'is', 'of', 'rank', '1', 'provided', 'g', 'geq', '3', 'this', 'means', 'a', 'nontrivial', 'second', 'de', 'rham', 'cohomology', 'class', 'on', 'mathbb', 'm_g', 'is', 'unique', 'up', 'to', 'constant', 'factor', 'but', 'several', 'canonical', '2forms', 'on', 'the', 'moduli', 'space', 'have', 'been', 'constructed', 'in', 'various', 'geometric', 'contexts', 'and', 'differ', 'from', 'each', 'other', 'in', 'this', 'article', 'we', 'review', 'some', 'of', 'constructions', 'in', 'order', 'to', 'provide', 'materials', 'for', 'future', 'research', 'on', 'secondary', 'geometry', 'of', 'the', 'moduli', 'space', 'mathbb', 'm_g']] | [-0.2043829019660378, 0.10117303893860916, -0.06933130253278448, 0.04353155317189901, -0.12429031970121128, -0.09159577402043277, -0.06392191516225347, 0.3462938887026647, -0.2871059119377447, -0.2686324926427282, 0.10622398504979767, -0.22223814249889035, -0.1609435185547108, 0.24013487159011318, -0.145991897099125, 0.00025166166217430777, -0.027335525905389502, 0.06657601829963665, -0.11434411635095983, -0.3589094475762028, 0.42685544239762035, -0.04106615662939199, 0.19798504393142852, 0.051999959635355954, 0.09003318420550584, -0.04715851775076969, -0.03736491123487687, -0.034104139013557556, -0.21689746404318494, 0.1536037569116477, 0.29381422093391174, 0.048432672176125416, 0.17903516757423463, -0.35225372557001916, -0.22594436614409738, 0.205040299333632, 0.11396939203436689, -0.03511698475188535, 0.014682447822491193, -0.2584309103321689, 0.1045473445775987, -0.1324896847009254, -0.14335812521470792, -0.08200435559062855, 0.10382754830567612, -0.017721837750919487, -0.14438256938465993, -0.03305162257595878, 0.039624247011607105, 0.10606863861650472, -0.05415335819175791, -0.18062436885868563, -0.10019711435028433, 0.0777084363128423, 0.03145391124796689, 0.14218619411163355, 0.07959979948203039, -0.08682503676264668, -0.09384288160008905, 0.3925901827017736, -0.0882487572266457, -0.19705751578768957, 0.11233346411229475, -0.16184769017854705, -0.2026165655065004, 0.13120584615566971, 0.11683642054381578, 0.20274959323939148, -0.018429391723855035, 0.2413814394050227, -0.05471800842180686, 0.08773783835298989, 0.1248130453446799, -0.012053381312517044, 0.17717318344132407, 0.1404936351160438, 0.0733189353562446, 0.08518174367149502, -0.003232605039121826, -0.020612191479734105, -0.37595203921765735, -0.2188355325235297, -0.14919911068864167, 0.144831665313256, -0.13819308876950148, -0.14032965349938226, 0.38617569133740565, 0.04057550146851851, 0.1930260917060482, 0.09382186021969613, 0.2086110226531594, -0.009368832500236433, 0.03662873539597849, 0.04554836469216515, 0.16657069231966845, 0.17497405716288916, -0.008757658439445431, -0.09130806581031167, -0.0361502598768667, 0.20551309395460007] |
708.4272 | Normal approximation for nonlinear statistics using a concentration
inequality approach | Let $T$ be a general sampling statistic that can be written as a linear
statistic plus an error term. Uniform and non-uniform Berry--Esseen type bounds
for $T$ are obtained. The bounds are the best possible for many known
statistics. Applications to U-statistics, multisample U-statistics,
L-statistics, random sums and functions of nonlinear statistics are discussed.
| math.ST stat.TH | let t be a general sampling statistic that can be written as a linear statistic plus an error term uniform and nonuniform berryesseen type bounds for t are obtained the bounds are the best possible for many known statistics applications to ustatistics multisample ustatistics lstatistics random sums and functions of nonlinear statistics are discussed | [['let', 't', 'be', 'a', 'general', 'sampling', 'statistic', 'that', 'can', 'be', 'written', 'as', 'a', 'linear', 'statistic', 'plus', 'an', 'error', 'term', 'uniform', 'and', 'nonuniform', 'berryesseen', 'type', 'bounds', 'for', 't', 'are', 'obtained', 'the', 'bounds', 'are', 'the', 'best', 'possible', 'for', 'many', 'known', 'statistics', 'applications', 'to', 'ustatistics', 'multisample', 'ustatistics', 'lstatistics', 'random', 'sums', 'and', 'functions', 'of', 'nonlinear', 'statistics', 'are', 'discussed']] | [-0.08665405736408299, 0.12854087531498712, -0.09102445031102332, 0.19054570054652653, -0.06660693049154899, -0.19755017355567328, 0.047080400020436, 0.3036136587874757, -0.28360584536912264, -0.26588422332942074, 0.16527033466155883, -0.2651983982262512, -0.09965677826699836, 0.28931368942613955, -0.12833039798877305, 0.09393653772012503, 0.017082497619816825, 0.037161862253452894, -0.07433222557301633, -0.3438235993531567, 0.19655278723156597, 0.055492444032872165, 0.2575955575987421, -0.03435779675082476, 0.055779494603888854, 0.008260095095330919, -0.043099191289878, 0.02467968980609267, -0.13990366476638075, 0.06986093485331232, 0.27946676814031823, 0.1139030246477988, 0.2949281933338002, -0.335472979048198, -0.18949580382279776, 0.17652611415703884, 0.14408358359812862, 0.06344378165279825, -0.021321440012090735, -0.2762993796021436, 0.06716523344221059, -0.12681662663817406, -0.11000464431708679, -0.1348106114676705, -0.029909822727657027, 0.16066272784438398, -0.46553000317955456, 0.12411018726588399, 0.11914625280985126, 0.05042540295808404, 0.04967683570942393, -0.25453566009377093, 0.07810369526312032, 0.06227966032370373, 0.03229555804972296, 0.00740723179101392, 0.06502088280912074, -0.07624159889140476, -0.15211454313248396, 0.31743792102120266, -0.10504413573114478, -0.27022525567682115, 0.1032188735143454, -0.13934413647210156, -0.16543076982876906, 0.052674133623777715, 0.20999964985444589, 0.14223996834415528, -0.20607318677422073, 0.14161438580938718, -0.0435038850021859, 0.07257068515927703, 0.11230384202294603, 0.0713905988711674, 0.13292427521405947, 0.045189171011939096, 0.10412335202541996, 0.15052147782666403, -0.08554739394673595, -0.0470536003003535, -0.362893007626688, -0.09165223267067361, -0.2875650973162717, 0.04588470380339357, -0.2165546061776156, -0.24682476050306665, 0.291900601375986, 0.055211561326696364, 0.1268138682676686, 0.17530929278884153, 0.20522570920487246, 0.20182293841261761, -0.008052862180327927, 0.06605371531030094, 0.11620937647401458, 0.2537777433861737, 0.0044817825675838524, -0.03848206838247953, 0.1064829753746313, 0.14118555178262154] |
708.4273 | Decision table for classifying point sources based on FIRST and 2MASS
databases | With the availability of multiwavelength, multiscale and multiepoch
astronomical catalogues, the number of features to describe astronomical
objects has increases. The better features we select to classify objects, the
higher the classification accuracy is. In this paper, we have used data sets of
stars and quasars from near infrared band and radio band. Then best-first
search method was applied to select features. For the data with selected
features, the algorithm of decision table was implemented. The classification
accuracy is more than 95.9%. As a result, the feature selection method improves
the effectiveness and efficiency of the classification method. Moreover the
result shows that decision table is robust and effective for discrimination of
celestial objects and used for preselecting quasar candidates for large survey
projects.
| astro-ph | with the availability of multiwavelength multiscale and multiepoch astronomical catalogues the number of features to describe astronomical objects has increases the better features we select to classify objects the higher the classification accuracy is in this paper we have used data sets of stars and quasars from near infrared band and radio band then bestfirst search method was applied to select features for the data with selected features the algorithm of decision table was implemented the classification accuracy is more than 959 as a result the feature selection method improves the effectiveness and efficiency of the classification method moreover the result shows that decision table is robust and effective for discrimination of celestial objects and used for preselecting quasar candidates for large survey projects | [['with', 'the', 'availability', 'of', 'multiwavelength', 'multiscale', 'and', 'multiepoch', 'astronomical', 'catalogues', 'the', 'number', 'of', 'features', 'to', 'describe', 'astronomical', 'objects', 'has', 'increases', 'the', 'better', 'features', 'we', 'select', 'to', 'classify', 'objects', 'the', 'higher', 'the', 'classification', 'accuracy', 'is', 'in', 'this', 'paper', 'we', 'have', 'used', 'data', 'sets', 'of', 'stars', 'and', 'quasars', 'from', 'near', 'infrared', 'band', 'and', 'radio', 'band', 'then', 'bestfirst', 'search', 'method', 'was', 'applied', 'to', 'select', 'features', 'for', 'the', 'data', 'with', 'selected', 'features', 'the', 'algorithm', 'of', 'decision', 'table', 'was', 'implemented', 'the', 'classification', 'accuracy', 'is', 'more', 'than', '959', 'as', 'a', 'result', 'the', 'feature', 'selection', 'method', 'improves', 'the', 'effectiveness', 'and', 'efficiency', 'of', 'the', 'classification', 'method', 'moreover', 'the', 'result', 'shows', 'that', 'decision', 'table', 'is', 'robust', 'and', 'effective', 'for', 'discrimination', 'of', 'celestial', 'objects', 'and', 'used', 'for', 'preselecting', 'quasar', 'candidates', 'for', 'large', 'survey', 'projects']] | [-0.012693310519793041, -0.02548936538908991, -0.09248055990845445, 0.06688722561211174, -0.14322681590584257, -0.10290862578943732, 0.0907659335972576, 0.4478116693095334, -0.18649083798217977, -0.3783287757729751, 0.10469753459572882, -0.31265335151505086, -0.09802710645711951, 0.2362466942286119, -0.08358389101622085, 0.04802797149280987, 0.11481423545703892, -0.020570291461603295, -0.02147100058561679, -0.309167037672934, 0.28749248887141865, 0.10963415192259897, 0.2949650466832663, -0.041963079380953026, 0.09724638237422632, -0.020093617029488087, -0.13186881800497613, 0.004737863790303949, -0.06946510688483672, 0.140633114234304, 0.3254810135901695, 0.19624503257106088, 0.24619440620881505, -0.2629265193226597, -0.1857281954688651, 0.08459561839399318, 0.14201017029042687, 0.10232697793793294, -0.010143450373664476, -0.3150447153321077, 0.14326620156005507, -0.16080137470294908, -0.12199765830601175, -0.09940745930878385, 0.017628463150392615, 0.02883015996767133, -0.2471690117494173, 0.04218343693003502, 0.015106389689589701, 0.08613566855990118, -0.11678448026143615, -0.11836514042900695, -0.026743678871782556, 0.14892952269574086, 0.005268115574689282, 0.05272084106071552, 0.12170277686128693, -0.16584993173150467, -0.14005031774661714, 0.4205200501807755, -0.048879188619344684, -0.09990515850198965, 0.21570984159587814, -0.06871858729995907, -0.16490183690034282, 0.14941519063300332, 0.21511298958061925, 0.14314687786053024, -0.14214302150292263, -0.006518331738451736, -0.02791879454537505, 0.20120117756267708, 0.03884806330203109, 0.0476144777363046, 0.20105455830437882, 0.21535480162879872, 0.052692550956459354, 0.15162591239617718, -0.24509083595307124, 0.031599588774805586, -0.21877032943490532, -0.11439703396641679, -0.1931796061821402, -0.04363781098659421, -0.10951172682806858, -0.12847328330615476, 0.4153941958737109, 0.1891411541165003, 0.16841925782970182, 0.06455468402184066, 0.2873339325737869, 0.04620828403764585, 0.1125321710452197, 0.09445160577794717, 0.2509596813770552, 0.05888466133675989, 0.09285898100314362, -0.17123321069201694, 0.04416572282676615, 0.05947610088473847] |
708.4274 | Comparison of decision tree methods for finding active objects | The automated classification of objects from large catalogues or survey
projects is an important task in many astronomical surveys. Faced with various
classification algorithms, astronomers should select the method according to
their requirements. Here we describe several kinds of decision trees for
finding active objects by multi-wavelength data, such as REPTree, Random Tree,
Decision Stump, Random Forest, J48, NBTree, AdTree. All decision tree
approaches investigated are in the WEKA package. The classification performance
of the methods is presented. In the process of classification by decision tree
methods, the classification rules are easily obtained, moreover these rules are
clear and easy to understand for astronomers. As a result, astronomers are
inclined to prefer and apply them, thus know which attributes are important to
discriminate celestial objects. The experimental results show that when various
decision trees are applied in discriminating active objects (quasars, BL Lac
objects and active galaxies) from non-active objects (stars and galaxies),
ADTree is the best only in terms of accuracy, Decision Stump is the best only
considering speed, J48 is the optimal choice considering both accuracy and
speed.
| astro-ph | the automated classification of objects from large catalogues or survey projects is an important task in many astronomical surveys faced with various classification algorithms astronomers should select the method according to their requirements here we describe several kinds of decision trees for finding active objects by multiwavelength data such as reptree random tree decision stump random forest j48 nbtree adtree all decision tree approaches investigated are in the weka package the classification performance of the methods is presented in the process of classification by decision tree methods the classification rules are easily obtained moreover these rules are clear and easy to understand for astronomers as a result astronomers are inclined to prefer and apply them thus know which attributes are important to discriminate celestial objects the experimental results show that when various decision trees are applied in discriminating active objects quasars bl lac objects and active galaxies from nonactive objects stars and galaxies adtree is the best only in terms of accuracy decision stump is the best only considering speed j48 is the optimal choice considering both accuracy and speed | [['the', 'automated', 'classification', 'of', 'objects', 'from', 'large', 'catalogues', 'or', 'survey', 'projects', 'is', 'an', 'important', 'task', 'in', 'many', 'astronomical', 'surveys', 'faced', 'with', 'various', 'classification', 'algorithms', 'astronomers', 'should', 'select', 'the', 'method', 'according', 'to', 'their', 'requirements', 'here', 'we', 'describe', 'several', 'kinds', 'of', 'decision', 'trees', 'for', 'finding', 'active', 'objects', 'by', 'multiwavelength', 'data', 'such', 'as', 'reptree', 'random', 'tree', 'decision', 'stump', 'random', 'forest', 'j48', 'nbtree', 'adtree', 'all', 'decision', 'tree', 'approaches', 'investigated', 'are', 'in', 'the', 'weka', 'package', 'the', 'classification', 'performance', 'of', 'the', 'methods', 'is', 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708.4275 | Continuation of solutions of coupled dynamical systems | Recently, the synchronization of coupled dynamical systems has been widely
studied. Synchronization is referred to as a process wherein two (or many)
dynamical systems are adjusted to a common behavior as time goes to infinity,
due to coupling or forcing. Therefore, before discussing synchronization, a
basic problem on continuation of the solution must be solved: For given initial
conditions, can the solution of coupled dynamical systems be extended to the
infinite interval $[0,+\infty)$? In this paper, we propose a general model of
coupled dynamical systems, which includes previously studied systems as special
cases, and prove that under the assumption of QUAD, the solution of the general
model exists on $[0,+\infty)$.
| math.DS | recently the synchronization of coupled dynamical systems has been widely studied synchronization is referred to as a process wherein two or many dynamical systems are adjusted to a common behavior as time goes to infinity due to coupling or forcing therefore before discussing synchronization a basic problem on continuation of the solution must be solved for given initial conditions can the solution of coupled dynamical systems be extended to the infinite interval 0infty in this paper we propose a general model of coupled dynamical systems which includes previously studied systems as special cases and prove that under the assumption of quad the solution of the general model exists on 0infty | [['recently', 'the', 'synchronization', 'of', 'coupled', 'dynamical', 'systems', 'has', 'been', 'widely', 'studied', 'synchronization', 'is', 'referred', 'to', 'as', 'a', 'process', 'wherein', 'two', 'or', 'many', 'dynamical', 'systems', 'are', 'adjusted', 'to', 'a', 'common', 'behavior', 'as', 'time', 'goes', 'to', 'infinity', 'due', 'to', 'coupling', 'or', 'forcing', 'therefore', 'before', 'discussing', 'synchronization', 'a', 'basic', 'problem', 'on', 'continuation', 'of', 'the', 'solution', 'must', 'be', 'solved', 'for', 'given', 'initial', 'conditions', 'can', 'the', 'solution', 'of', 'coupled', 'dynamical', 'systems', 'be', 'extended', 'to', 'the', 'infinite', 'interval', '0infty', 'in', 'this', 'paper', 'we', 'propose', 'a', 'general', 'model', 'of', 'coupled', 'dynamical', 'systems', 'which', 'includes', 'previously', 'studied', 'systems', 'as', 'special', 'cases', 'and', 'prove', 'that', 'under', 'the', 'assumption', 'of', 'quad', 'the', 'solution', 'of', 'the', 'general', 'model', 'exists', 'on', '0infty']] | [-0.18534080136398023, 0.08624767004935578, -0.0769161608408798, 0.05645219559461442, -0.04411557134537196, -0.19862225205129522, -0.0021823671805164353, 0.3243186780082231, -0.2875853679777885, -0.24803159860047427, 0.18574718027693135, -0.24147229530128905, -0.16734819640405477, 0.16885773878205906, -0.058531950185583395, 0.10322145039893009, 0.035746222328055986, 0.08466640861535614, -0.04459090328521349, -0.2139795474835079, 0.3319666868753054, 0.005006324669176882, 0.22221341136504302, 0.009937667268307202, 0.12287719047956423, -0.013945506745949387, 0.04474021922796965, 0.05189430780445202, -0.13609627424349044, 0.005094083791217682, 0.22017838429998268, 0.1107814135580239, 0.3206303231587464, -0.4175357395444404, -0.2691709605521861, 0.1422889071432027, 0.20341236143034291, 0.10958085069512229, -0.013883046865124595, -0.2622625604017892, 0.07325270193290304, -0.15781721594658765, -0.16229624075984414, -0.05382648883387446, 0.029795400442724877, 0.05771758513821458, -0.3066310807215897, 0.04663955228064548, 0.07774834935870868, 0.01547680984843861, -0.07578975645909933, -0.053541121418079866, 0.0047586045397276224, 0.11033542778935622, 0.05669557216381443, 0.030571930681947957, 0.06590944726274095, -0.050329704203812234, -0.10367874853228304, 0.4243967121297663, -0.051414641729471355, -0.2326352236284451, 0.2484972389838235, -0.07523816687224263, -0.16715403945947235, 0.0690848055687225, 0.1962582076730376, 0.14461368250829928, -0.20926030038601973, 0.12255947161942128, -0.03808328510177406, 0.16870067558166654, 0.06868077841248701, 0.032132497344123705, 0.17435316780412738, 0.18921793819489804, 0.07789510462951676, 0.160827464629388, 0.020508240655445577, -0.16676042639565739, -0.2588835643096404, -0.10137486387446354, -0.14392032277855007, 0.0745572506323118, -0.019201637677377387, -0.18911124341697855, 0.36482310696420345, 0.1569881370439279, 0.18396729155528274, 0.03995294672839174, 0.25718878306003967, 0.1968285773933696, 0.04843540245413103, 0.026557705631818283, 0.21192398509434002, 0.1354652723911303, 0.09921646764163267, -0.18768261711282486, 0.065162657645785, 0.06677294609306211] |
708.4276 | Observation of False Spherical Micrometeorites | The work describes the results of the study of the spherical particles that
can be found in the environment and that were often considered as
micrometeorites. The results have demonstrated that in the most of cases these
spherical particles are the results of the human activity.
| astro-ph | the work describes the results of the study of the spherical particles that can be found in the environment and that were often considered as micrometeorites the results have demonstrated that in the most of cases these spherical particles are the results of the human activity | [['the', 'work', 'describes', 'the', 'results', 'of', 'the', 'study', 'of', 'the', 'spherical', 'particles', 'that', 'can', 'be', 'found', 'in', 'the', 'environment', 'and', 'that', 'were', 'often', 'considered', 'as', 'micrometeorites', 'the', 'results', 'have', 'demonstrated', 'that', 'in', 'the', 'most', 'of', 'cases', 'these', 'spherical', 'particles', 'are', 'the', 'results', 'of', 'the', 'human', 'activity']] | [-0.05697087249111222, 0.15476053680860155, -0.0825071455505879, 0.037256111874265356, 0.035063955446948174, -0.030213788131494886, -0.07520609664852204, 0.3729696866610776, -0.15837398203059463, -0.335796564169552, 0.11663896681072758, -0.2747876263507035, -0.20601459029738023, 0.23894294941514407, -0.05668591661631818, 0.004509828592468377, 0.07802439329173902, 0.06773139047436416, 0.0007299862893136299, -0.251004991809959, 0.30590937329132273, 0.06297243230611733, 0.24188259790611008, 0.06090640513550328, 0.02664267887239871, -0.06327516969252864, -0.041331268563542675, 0.05474316447990808, -0.10051421583968635, 0.11002730740153271, 0.22658998689249807, 0.10855280015739086, 0.22550897177754212, -0.46830114463101263, -0.227541441158594, 0.07812889819235905, 0.15029418463413807, 0.10221203700031924, -0.07552751267085904, -0.2766857745287859, 0.11055792413611451, -0.13672033197286984, -0.15526044473517686, -0.047036252308474934, -0.0028611153121227803, 0.09475167745056198, -0.22138986069425617, 0.05941698933020234, 0.127636700787622, 0.004482464459927186, -0.09236258086647191, -0.11532742467344455, -0.03975553769091873, 0.18689863648994462, 0.1291924578583111, -0.02559654744159754, 0.16969089594710132, -0.14973928623468333, -0.12749760500762775, 0.42537980324224284, -0.02190164642651444, -0.198463951844884, 0.24972661212086678, -0.19355275514333145, -0.11350309512699427, 0.10476580258134914, 0.1868943887276818, 0.13034761142309592, -0.1780977132730186, 0.05443050606940549, -0.1205648738566948, 0.13036772504489383, 0.04184192648845846, -0.013138686721820546, 0.16882661681460298, 0.1335953888280884, -0.0338548560014359, 0.13810002471006516, -0.11666924741281115, -0.0892562084912282, -0.2684513133464624, -0.18308005232930832, -0.20095478640059414, -0.0429317577863517, -0.06327263220262704, -0.11503350524150807, 0.38389010948088503, 0.13991063589270672, 0.20084943456332321, 0.02457322342240292, 0.24270841568384482, 0.08182679693487918, 0.0782530764117837, 0.03289656241869797, 0.3416211181421481, 0.05269789623359785, 0.08092623908558617, -0.19850711683924918, 0.0815549136503883, -0.009906363567215916] |
708.4277 | Rare tau decays | A review is presented of the current status of experimental searches for
physics beyond the standard model in rare $\tau$ decays.
| hep-ex | a review is presented of the current status of experimental searches for physics beyond the standard model in rare tau decays | [['a', 'review', 'is', 'presented', 'of', 'the', 'current', 'status', 'of', 'experimental', 'searches', 'for', 'physics', 'beyond', 'the', 'standard', 'model', 'in', 'rare', 'tau', 'decays']] | [-0.0360053648861746, 0.19669883121692, -0.0011221067536444891, 0.12277647820190482, -0.06073600896412418, -0.16459634968833553, 0.07100956082632322, 0.20235031044908933, -0.24602376758342698, -0.24918801390698977, 0.08143554203810968, -0.33023213329059736, -0.03806536733394578, 0.22607217506239458, 0.06846083811528626, 0.047309231101757006, 0.11643504120764278, 0.04619084857404232, -0.08051412686195579, -0.14468795158678577, 0.1442933442248475, 0.09718018049551617, 0.20993048030262193, 0.08244234851251046, -0.07082629132838476, 0.0024348017094390734, -0.1453119291524802, -0.03905617037699336, -0.17063068629552922, 0.029195496368975865, 0.17560781751360213, 0.22600226494527997, 0.17427010000461624, -0.3996433825897319, -0.13100794117365563, 0.10550188818680388, 0.13262615620069915, 0.09781911374912375, -0.15761454438879377, -0.32812246591562316, 0.06933220555739743, -0.17856203168187113, -0.093854661565274, -0.03755953848095877, 0.04533834972729286, -0.021230036570202736, -0.27750608041172936, 0.09131362413366635, -0.012970415077039174, 0.04190792781966073, -0.0023430994756165006, -0.26594723614731003, 0.12603239174045267, 0.03484246327674815, 0.12294266244585049, 0.0640355289159786, 0.15793066028328168, -0.2733953033485228, -0.254160294664048, 0.42979493488868076, -0.10528520474188208, -0.16189364343881607, 0.24520015920556726, -0.23843474903454384, -0.1964663260483316, 0.056368903389998844, 0.19834780160869872, 0.08996696238006864, -0.21057847106740588, 0.19212894265850386, -0.01703567856124469, 0.10115385055541992, -0.14367842878259363, 0.07077375657501675, 0.27235207209984463, 0.3934363162233716, -0.044561007991433144, 0.04750619651306243, -0.11795481186847956, -0.10556907455126445, -0.4947420862459001, -0.162064469242025, -0.09880108111316249, 0.015274060579637686, 0.08762305398427304, -0.1189598027794134, 0.4954398799510229, 0.21051232605462983, 0.20109522112068676, 0.027834291991201184, 0.33282221392506645, 0.010935923262011437, 0.014957373607016745, -0.046618139083009394, 0.356908577671718, 0.10618678994831585, 0.12144743296362105, -0.1834093710363266, 0.09127813801612883, 0.024470782617018336] |
708.4278 | Lefschetz numbers for C*-algebras | Using Poincare duality, we formulate a formula of Lefschetz type which
computes the Lefschetz number of an endomorphism of a separable, nuclear
C*-algebra satisfying Poincare duality and the Kunneth theorem. (The Lefschetz
number of an endomorphism is the graded trace of the induced map on K-theory
tensored with the complex numbers, as in the classical case.) We then consider
endomorphisms of Cuntz-Krieger algebras O_A. An endomorphism has an invariant,
which is a permutation of an infinite set, and the contracting and expanding
behavior of this permutation describes the Lefschetz number of the
endomorphism. Using this description we derive a closed polynomial formula for
the Lefschetz number depending on the matrix A and the presentation of the
endomorphism.
| math.KT math.OA | using poincare duality we formulate a formula of lefschetz type which computes the lefschetz number of an endomorphism of a separable nuclear calgebra satisfying poincare duality and the kunneth theorem the lefschetz number of an endomorphism is the graded trace of the induced map on ktheory tensored with the complex numbers as in the classical case we then consider endomorphisms of cuntzkrieger algebras o_a an endomorphism has an invariant which is a permutation of an infinite set and the contracting and expanding behavior of this permutation describes the lefschetz number of the endomorphism using this description we derive a closed polynomial formula for the lefschetz number depending on the matrix a and the presentation of the endomorphism | [['using', 'poincare', 'duality', 'we', 'formulate', 'a', 'formula', 'of', 'lefschetz', 'type', 'which', 'computes', 'the', 'lefschetz', 'number', 'of', 'an', 'endomorphism', 'of', 'a', 'separable', 'nuclear', 'calgebra', 'satisfying', 'poincare', 'duality', 'and', 'the', 'kunneth', 'theorem', 'the', 'lefschetz', 'number', 'of', 'an', 'endomorphism', 'is', 'the', 'graded', 'trace', 'of', 'the', 'induced', 'map', 'on', 'ktheory', 'tensored', 'with', 'the', 'complex', 'numbers', 'as', 'in', 'the', 'classical', 'case', 'we', 'then', 'consider', 'endomorphisms', 'of', 'cuntzkrieger', 'algebras', 'o_a', 'an', 'endomorphism', 'has', 'an', 'invariant', 'which', 'is', 'a', 'permutation', 'of', 'an', 'infinite', 'set', 'and', 'the', 'contracting', 'and', 'expanding', 'behavior', 'of', 'this', 'permutation', 'describes', 'the', 'lefschetz', 'number', 'of', 'the', 'endomorphism', 'using', 'this', 'description', 'we', 'derive', 'a', 'closed', 'polynomial', 'formula', 'for', 'the', 'lefschetz', 'number', 'depending', 'on', 'the', 'matrix', 'a', 'and', 'the', 'presentation', 'of', 'the', 'endomorphism']] | [-0.20671267506594843, 0.06706496707970201, -0.1338071568081012, 0.05386355251041997, -0.08403038045662081, -0.14108034224114102, -0.0410035385344273, 0.2847281542535012, -0.3870425967471754, -0.19263075282160416, 0.0867327549892804, -0.2395325944580846, -0.13003135700192717, 0.17343481062338328, -0.15420053156618124, -0.010574628077606615, 0.02629569138233096, 0.15737291636407122, -0.12098080214335878, -0.25446435013332236, 0.4344397895436129, -0.013848992116086615, 0.19157227538884258, 0.08908362508628072, 0.16741619259915036, 0.05862515435641647, -0.014736628273310952, -0.007465418348582382, -0.12149853931150885, 0.11623357899057177, 0.23776418299804258, 0.11670778358641726, 0.1693897662151, -0.3928021003261336, -0.047130432728136704, 0.25756855957751346, 0.12065505679959479, 0.0006270964872977561, -0.05776435644843449, -0.2506790872221478, 0.09168171550099476, -0.25758639438491726, -0.1588797801747345, -0.08385127843516824, 0.07283594255518709, 0.009767984762453498, -0.25769550207222247, -0.04284039972365922, 0.10365876969363955, 0.18855837300324288, -0.07996182521789247, -0.011758138521168476, -0.05496005024402761, 0.05864407838935144, -0.017267355362040937, 0.01695943011655512, 0.13165531258504742, -0.11230183786784227, -0.13413008295684162, 0.35530558934198436, -0.023207585574087933, -0.21017474396170205, 0.10125225172656724, -0.13267654978120938, -0.2053147498677429, 0.14576314159064022, 0.019754183534373585, 0.17780036323218265, -0.02123427104491454, 0.22068150759212926, -0.21007283356709358, 0.06182461600694965, 0.0818511325881904, -0.009213799284373084, 0.12249629501189686, 0.06174927760456872, 0.0891254985681138, 0.21639893915599737, 0.008828879493232975, -0.025879896094656397, -0.38332541073616755, -0.22932844078884676, -0.1350658174811138, 0.20666812269542462, -0.15686194028289446, -0.22128113112452194, 0.4285111485256089, 0.046096077480882756, 0.20947636826298174, 0.16931211352388129, 0.24642245184916717, 0.11520534279195564, 0.03736582160807955, 0.036494979240984306, 0.09607608893360847, 0.29760897595785624, -0.01782608553608004, -0.16733270782865903, -0.020762388443208147, 0.32018827757615054] |
708.4279 | A Lefschetz fixed-point formula for certain orbifold C*-algebras | Using Poincar\'e duality in K-theory, we state and prove a Lefschetz fixed
point formula for endomorphisms of cross product C*-algebras $C_0(X)\cross G$
coming from covariant pairs. Here $G$ is assumed countable, $X$ a manifold, and
$X\cross G$ cocompact and proper.
The formula in question expresses the graded trace of the map on rationalized
K-theory of $C_0(X)\cross G$ induced by the endomorphism, \emph{i.e.} the
Lefschetz number, in terms of fixed orbits and representation-theoretic data
connected with certain isotropy subgroups of the isotropy group at that point.
The technique is to use noncommutative Poinca\'e duality and the formal
Lefschetz lemma of the second author.
| math.KT math.OA | using poincare duality in ktheory we state and prove a lefschetz fixed point formula for endomorphisms of cross product calgebras c_0xcross g coming from covariant pairs here g is assumed countable x a manifold and xcross g cocompact and proper the formula in question expresses the graded trace of the map on rationalized ktheory of c_0xcross g induced by the endomorphism emphie the lefschetz number in terms of fixed orbits and representationtheoretic data connected with certain isotropy subgroups of the isotropy group at that point the technique is to use noncommutative poincae duality and the formal lefschetz lemma of the second author | [['using', 'poincare', 'duality', 'in', 'ktheory', 'we', 'state', 'and', 'prove', 'a', 'lefschetz', 'fixed', 'point', 'formula', 'for', 'endomorphisms', 'of', 'cross', 'product', 'calgebras', 'c_0xcross', 'g', 'coming', 'from', 'covariant', 'pairs', 'here', 'g', 'is', 'assumed', 'countable', 'x', 'a', 'manifold', 'and', 'xcross', 'g', 'cocompact', 'and', 'proper', 'the', 'formula', 'in', 'question', 'expresses', 'the', 'graded', 'trace', 'of', 'the', 'map', 'on', 'rationalized', 'ktheory', 'of', 'c_0xcross', 'g', 'induced', 'by', 'the', 'endomorphism', 'emphie', 'the', 'lefschetz', 'number', 'in', 'terms', 'of', 'fixed', 'orbits', 'and', 'representationtheoretic', 'data', 'connected', 'with', 'certain', 'isotropy', 'subgroups', 'of', 'the', 'isotropy', 'group', 'at', 'that', 'point', 'the', 'technique', 'is', 'to', 'use', 'noncommutative', 'poincae', 'duality', 'and', 'the', 'formal', 'lefschetz', 'lemma', 'of', 'the', 'second', 'author']] | [-0.20020689466272037, 0.059742279842288956, -0.1508540385308666, 0.061427247618804824, -0.1113515955189036, -0.1275439822971068, 0.049386090448483674, 0.33108620664499927, -0.363943432297821, -0.21514264962664156, 0.05243524891028011, -0.25772407392129265, -0.0923508694583569, 0.16701446303855533, -0.17575139935702236, -0.009120357813163086, 0.060989759622536825, 0.1292397852744813, -0.10172947040627325, -0.23454558557708455, 0.4491377430732804, -0.033771428058507164, 0.22963216420112534, 0.08692274011572766, 0.15850268472385864, 0.044642184461194154, -0.04675791237616178, -0.02019280500032685, -0.12067704236482076, 0.11993527218624196, 0.2986675723611067, 0.04518598211091952, 0.1673757172885793, -0.369106825951468, -0.11259882720751745, 0.21789104995703457, 0.05783848614770581, -0.04737078451146983, -0.007699300260300692, -0.309019441260119, 0.10466543643857644, -0.20471417008325307, -0.15425248866938432, -0.0857709324119067, 0.08246402611786668, -0.022222507514548722, -0.20537621881624665, 0.009332589231280967, 0.10789004468471941, 0.18262779218793818, -0.035540626332577735, -0.04100062873571961, -0.11233680529374103, 0.08191299312889125, 0.012451987868795792, 0.058471035438053535, 0.13732634413742809, -0.0658817455746384, -0.12728174604626016, 0.40079890303972243, -0.0708501251753081, -0.17761848579311387, 0.07960978524778227, -0.20316364253974623, -0.23441464721808455, 0.14384035694629255, 0.0314649756376942, 0.17939764519005713, -0.007770721659515843, 0.23500781882297944, -0.1291773776909468, 0.02818652733777076, 0.11210733544871662, -0.032783876544786525, 0.12339580495550174, 0.022463703603304998, 0.0936643389909707, 0.13655904081245565, 0.04546688225430747, 0.021573631793749753, -0.3839612286726032, -0.17344254244946772, -0.172494300325975, 0.1926419645491423, -0.15515878547210543, -0.14482338900555564, 0.36246638889941907, 0.0368011100499919, 0.16897164200517265, 0.1288150229321962, 0.23203863335227726, 0.07679197107937959, 0.040117360999563124, 0.048393737385549224, 0.09982049985873429, 0.3120639497023828, -0.06132901145846141, -0.1296541073052048, -0.04142873523512272, 0.30182442806115506] |
708.428 | Compact radio jets and nuclear regions in active galaxies | VLBI observations of relativistic outflows (jets) in galactic nuclei,
complemented with detailed studies made in other spectral domains, have become
an effective tool for investigating the physics of nuclear regions in galaxies.
High-resolution radio observations access directly the regions where the jets
are formed, and trace their evolution and interaction with the nuclear
environment. The emission properties, dynamics, and evolution of jets in AGN
are intimately connected to the characteristics of the central supermassive
black hole, accretion disk, and broad-line region (BLR) in active galaxies.
Large VLBI surveys (15GHz VLBA survey, MOJAVE) and dedicated monitoring
programmes follow systematically the evolution of several hundreds of
relativistic jets. These observations, combined with optical and X-ray studies,
yield arguably the most detailed picture of the galactic nuclei. Recent results
from studies of the nuclear regions in several active galaxies with prominent
outflows are reviewed in this contribution.
| astro-ph | vlbi observations of relativistic outflows jets in galactic nuclei complemented with detailed studies made in other spectral domains have become an effective tool for investigating the physics of nuclear regions in galaxies highresolution radio observations access directly the regions where the jets are formed and trace their evolution and interaction with the nuclear environment the emission properties dynamics and evolution of jets in agn are intimately connected to the characteristics of the central supermassive black hole accretion disk and broadline region blr in active galaxies large vlbi surveys 15ghz vlba survey mojave and dedicated monitoring programmes follow systematically the evolution of several hundreds of relativistic jets these observations combined with optical and xray studies yield arguably the most detailed picture of the galactic nuclei recent results from studies of the nuclear regions in several active galaxies with prominent outflows are reviewed in this contribution | [['vlbi', 'observations', 'of', 'relativistic', 'outflows', 'jets', 'in', 'galactic', 'nuclei', 'complemented', 'with', 'detailed', 'studies', 'made', 'in', 'other', 'spectral', 'domains', 'have', 'become', 'an', 'effective', 'tool', 'for', 'investigating', 'the', 'physics', 'of', 'nuclear', 'regions', 'in', 'galaxies', 'highresolution', 'radio', 'observations', 'access', 'directly', 'the', 'regions', 'where', 'the', 'jets', 'are', 'formed', 'and', 'trace', 'their', 'evolution', 'and', 'interaction', 'with', 'the', 'nuclear', 'environment', 'the', 'emission', 'properties', 'dynamics', 'and', 'evolution', 'of', 'jets', 'in', 'agn', 'are', 'intimately', 'connected', 'to', 'the', 'characteristics', 'of', 'the', 'central', 'supermassive', 'black', 'hole', 'accretion', 'disk', 'and', 'broadline', 'region', 'blr', 'in', 'active', 'galaxies', 'large', 'vlbi', 'surveys', '15ghz', 'vlba', 'survey', 'mojave', 'and', 'dedicated', 'monitoring', 'programmes', 'follow', 'systematically', 'the', 'evolution', 'of', 'several', 'hundreds', 'of', 'relativistic', 'jets', 'these', 'observations', 'combined', 'with', 'optical', 'and', 'xray', 'studies', 'yield', 'arguably', 'the', 'most', 'detailed', 'picture', 'of', 'the', 'galactic', 'nuclei', 'recent', 'results', 'from', 'studies', 'of', 'the', 'nuclear', 'regions', 'in', 'several', 'active', 'galaxies', 'with', 'prominent', 'outflows', 'are', 'reviewed', 'in', 'this', 'contribution']] | [-0.06839646873090209, 0.09340896779930416, -0.05767317253371908, 0.1346248225066423, -0.11263442458261529, -0.05533331847012354, -0.02679034651050137, 0.4515041813590667, -0.14834761984093348, -0.3181826042968573, 0.08867770269231794, -0.33130480936637874, 0.025730715605378564, 0.21768115282369158, 0.05283532872251979, -0.021014329617577862, 0.048124289521688804, -0.16750826019172868, -0.013541557321635386, -0.18384327477542683, 0.32355995277693084, 0.14625325540287626, 0.16438992500964864, -0.037357245697219495, 0.034843733799385115, -0.09222342451943809, -0.1627742326624381, 0.01552625086171449, -0.11515335178329325, 0.07916493704154466, 0.32220045695309335, 0.1383242713054642, 0.22846250210285587, -0.44842695397609433, -0.25299357303851544, 0.01829380963075285, 0.18508140453640307, 0.02495403523142967, -0.11221211036900058, -0.284542277869251, 0.005138155127901377, -0.21053374550602813, -0.18534893652475956, 0.03315931118817793, 0.0261905414194593, 0.08437664522352861, -0.16657500681726056, 0.09757082987178162, -0.005212055542667965, 0.10637285848174037, -0.1286145093278416, -0.0616477022445502, -0.014524236250306584, 0.1232705325496176, 0.0741349152651512, 0.06874399594703896, 0.24186657246334814, -0.18531403949762332, -0.11396331835486409, 0.3852009211695986, 0.037863654344821245, 0.005715354798465139, 0.259244018134066, -0.29931877193222234, -0.2590179757163342, 0.15604072305157185, 0.20773259485011092, 0.167885950831179, -0.15297558641112927, -0.02395316449676304, -0.03355596505894533, 0.1741653279261502, -0.056963812343181215, 0.12748098228702373, 0.3327366477007874, 0.13386277507864483, -0.010207295500246497, 0.10743809001360205, -0.21501481296177694, -0.08432741709596787, -0.24736081127775833, -0.02206889568737501, -0.10866647155813149, 0.08784791295450607, -0.11946198048281076, -0.046246342296298176, 0.3685595169049015, 0.0245217841452864, 0.21457192775980932, -0.050676897029107854, 0.30558354397200876, -0.03361338316244655, 0.09892215731896511, 0.1616011140221316, 0.3895570945330999, 0.2042091726044014, 0.12185972328330132, -0.2556426213947513, 0.044985413222295594, 0.015225798816471878] |
708.4281 | Multi-channel architecture for electronic quantum-Hall interferometry | We propose a new architecture for implementing electronic interferometry in
quantum Hall bars. It exploits scattering among parallel edge channels. In
contrast to previous developments, this one employs a simply-connected mesa
admitting serial concatenation of building elements closer to optical
analogues. Implementations of Mach-Zehnder and Hambury-Brown-Twiss
interferometers are discussed together with new structures yet unexplored in
quantum electronics.
| cond-mat.mes-hall quant-ph | we propose a new architecture for implementing electronic interferometry in quantum hall bars it exploits scattering among parallel edge channels in contrast to previous developments this one employs a simplyconnected mesa admitting serial concatenation of building elements closer to optical analogues implementations of machzehnder and hamburybrowntwiss interferometers are discussed together with new structures yet unexplored in quantum electronics | [['we', 'propose', 'a', 'new', 'architecture', 'for', 'implementing', 'electronic', 'interferometry', 'in', 'quantum', 'hall', 'bars', 'it', 'exploits', 'scattering', 'among', 'parallel', 'edge', 'channels', 'in', 'contrast', 'to', 'previous', 'developments', 'this', 'one', 'employs', 'a', 'simplyconnected', 'mesa', 'admitting', 'serial', 'concatenation', 'of', 'building', 'elements', 'closer', 'to', 'optical', 'analogues', 'implementations', 'of', 'machzehnder', 'and', 'hamburybrowntwiss', 'interferometers', 'are', 'discussed', 'together', 'with', 'new', 'structures', 'yet', 'unexplored', 'in', 'quantum', 'electronics']] | [-0.19926576172369287, 0.12125672055244968, -0.07890491511084531, 0.0042804896141190015, -0.09665893760035958, -0.24058492659803546, 0.0004881544144856825, 0.47055484037519546, -0.24495871389578833, -0.25321867220561234, 0.02901465580757838, -0.23628475087319026, -0.17724847904684252, 0.25305204335273357, -0.08901454418031662, 0.09125351873349007, 0.0624654566248258, -0.09855290070960396, -0.1077673775879176, -0.1996562410015286, 0.2516648875255334, 0.0636776270254989, 0.28526085935402334, -0.035600893125918354, 0.09817065885127113, 0.013273744770374737, -0.05055579005560854, -0.0339127378456556, -0.100634784737945, 0.14442370800922313, 0.3390017040727431, 0.01206839273340608, 0.19835396424720161, -0.5179873540866793, -0.1706860926504688, 0.004451642221395383, 0.1464980206648378, 0.17542474160559082, -0.08290206067868623, -0.27495599603443815, 0.020574954542609162, -0.18946083122047416, -0.0923213626568516, -0.06553676070057247, 0.0036220188465034752, -0.028415276979406674, -0.16523037147054678, -0.0027897342908800695, 0.02376871613434336, 0.039884048554915605, 0.05005359035312084, -0.15230699156394653, 0.10123587233063422, 0.07172219103953817, -0.16232424921339803, 0.0183131121540148, 0.11397693816801174, -0.10082853371849317, -0.2374835064013799, 0.34670238948443477, -0.024778781850871286, -0.1681130697395195, 0.19724165215238668, -0.1130716908527048, -0.15545644896235644, 0.062286545342782086, 0.1615388791093178, 0.044909716469415446, -0.13121293323408617, 0.07383183267666027, -0.00948712802410387, 0.13483560386751042, 0.09272539389336057, 0.17219834735519007, 0.26440721585235577, 0.24071835510824857, 0.06066145011011446, 0.1621615532785654, -0.08854757223212928, -0.12202593350881025, -0.25867712336772103, -0.17791652619806037, -0.129571452908414, 0.0368676828424724, 0.01386775624588042, -0.18430970730096624, 0.36682596482467233, 0.14732506140870483, 0.1387831038354259, -0.005106292125817977, 0.38200372431361884, 0.010254066302686146, 0.17932647956829323, 0.09662604314814273, 0.2095843129505387, 0.23470905560411906, 0.08310133202426266, -0.1893645563783745, 0.009213009310003958, 0.026909996228488654] |
708.4282 | Asymptotic Error Rates in Quantum Hypothesis Testing | We consider the problem of discriminating between two different states of a
finite quantum system in the setting of large numbers of copies, and find a
closed form expression for the asymptotic exponential rate at which the
specified error probability tends to zero. This leads to the identification of
the quantum generalisation of the classical Chernoff distance.
The proof relies on two new techniques that have been introduced in
[quant-ph/0610027] and [quant-ph/0607216], respectively, and that are also well
suited to prove the quantum generalisation of the Hoeffding bound, which is a
modification of the Chernoff distance and specifies the optimal achievable
asymptotic error rate in the context of asymmetric hypothesis testing. This has
been done subsequently by Hayashi [quant-ph/0611013] and Nagaoka
[quant-ph/0611289] for the special case where both hypotheses have full
support.
Moreover, quantum Stein's Lemma and quantum Sanov's theorem may be derived
directly from the quantum Hoeffding bound combining it with a result obtained
recently in [math/0703772].
The goal of this paper is to present the proofs of the above mentioned
results in a unified way and in full generality (allowing hypothetic states
with different supports). Additionally, we give an in-depth treatment of the
properties of the quantum Chernoff distance. We argue that, although it is not
a metric, it is a natural distance measure on the set of density operators, due
to its clear operational meaning.
| quant-ph | we consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies and find a closed form expression for the asymptotic exponential rate at which the specified error probability tends to zero this leads to the identification of the quantum generalisation of the classical chernoff distance the proof relies on two new techniques that have been introduced in quantph0610027 and quantph0607216 respectively and that are also well suited to prove the quantum generalisation of the hoeffding bound which is a modification of the chernoff distance and specifies the optimal achievable asymptotic error rate in the context of asymmetric hypothesis testing this has been done subsequently by hayashi quantph0611013 and nagaoka quantph0611289 for the special case where both hypotheses have full support moreover quantum steins lemma and quantum sanovs theorem may be derived directly from the quantum hoeffding bound combining it with a result obtained recently in math0703772 the goal of this paper is to present the proofs of the above mentioned results in a unified way and in full generality allowing hypothetic states with different supports additionally we give an indepth treatment of the properties of the quantum chernoff distance we argue that although it is not a metric it is a natural distance measure on the set of density operators due to its clear operational meaning | [['we', 'consider', 'the', 'problem', 'of', 'discriminating', 'between', 'two', 'different', 'states', 'of', 'a', 'finite', 'quantum', 'system', 'in', 'the', 'setting', 'of', 'large', 'numbers', 'of', 'copies', 'and', 'find', 'a', 'closed', 'form', 'expression', 'for', 'the', 'asymptotic', 'exponential', 'rate', 'at', 'which', 'the', 'specified', 'error', 'probability', 'tends', 'to', 'zero', 'this', 'leads', 'to', 'the', 'identification', 'of', 'the', 'quantum', 'generalisation', 'of', 'the', 'classical', 'chernoff', 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708.4283 | Correction to: The scaling limit behaviour of periodic stable-like
processes | Correction to Bernoulli (2006), 12, 551--570
http://projecteuclid.org/euclid.bj/1151525136
| math.ST stat.TH | correction to bernoulli 2006 12 551570 httpprojecteuclidorgeuclidbj1151525136 | [['correction', 'to', 'bernoulli', '2006', '12', '551570', 'httpprojecteuclidorgeuclidbj1151525136']] | [-0.04504388943314552, 0.14801798164844512, -0.024395905435085297, 0.07661575507372617, -0.0527968555688858, -0.29249091185629367, 0.2076650365255773, 0.26608835011720655, -0.25336594574619087, -0.4589933753013611, 0.08849810627289116, -0.25444098031148316, -0.09443548619747162, 0.1314607087522745, -0.2638945817947388, 0.12450419142842292, 0.028706636279821396, -0.10184186901897192, -0.053951671719551085, -0.46649675369262694, 0.12764212787151336, 0.19695225358009338, 0.1660650208592415, -0.11803925633430482, 0.1021710223518312, 0.042285775486379865, -0.23091986477375032, -0.1393928609788418, -0.2533285513520241, -0.1017384309321642, 0.109776771068573, -0.13437743652611972, 0.24700956046581268, -0.12101445235311985, -0.10703166499733925, 0.12259922176599503, -0.01598036214709282, 0.1456420287489891, 0.1464850977063179, -0.31415891498327253, -0.06608178317546845, -0.36691388115286827, -0.17173327393829824, -0.006352287158370018, 0.2682166125625372, 0.03185335136950016, -0.4628125041723251, 0.19462251365184785, 0.08607564326375723, -0.0012129828333854674, 0.045226245373487475, -0.25023062750697134, 0.1338125489652157, 0.14597847387194635, -0.0734303280711174, 0.20969591680914162, 0.054782536998391154, -0.0016447879374027253, -0.21668399274349212, 0.2509125739336014, 0.006279455125331878, -0.055383718013763426, 0.09070255905389786, -0.15904191546142102, -0.3218948557972908, 0.25977903008461, 0.18538892567157744, -0.10865951953455806, -0.11074022650718689, -0.0066053465008735655, 0.05198960900306702, 0.19069382548332214, 0.2025156907737255, -0.19978613629937172, -0.1272590957581997, -0.23069751635193825, -0.046520987246185544, 0.11096170842647553, -0.3031861834228039, -0.22231462895870208, -0.2658935606479645, -0.09021095372736454, -0.17956880629062652, 0.2348858643323183, -0.07563384473323823, -0.18144145011901855, 0.20052599608898164, 0.09329630881547928, 0.10192731469869613, 0.01856306418776512, 0.11074966788291932, 0.12863744907081126, -0.06288289055228233, 0.1617944285273552, 0.18401308059692384, 0.29722330570220945, 0.2186095029115677, -0.0338982418179512, -0.11703703850507736, 0.26575177609920503] |
708.4284 | Optimal Per-Edge Processing Times in the Semi-Streaming Model | We present semi-streaming algorithms for basic graph problems that have
optimal per-edge processing times and therefore surpass all previous
semi-streaming algorithms for these tasks. The semi-streaming model, which is
appropriate when dealing with massive graphs, forbids random access to the
input and restricts the memory to O(n*polylog n) bits.
Particularly, the formerly best per-edge processing times for finding the
connected components and a bipartition are O(alpha(n)), for determining
k-vertex and k-edge connectivity O(k^2n) and O(n*log n) respectively for any
constant k and for computing a minimum spanning forest O(log n). All these time
bounds we reduce to O(1).
Every presented algorithm determines a solution asymptotically as fast as the
best corresponding algorithm up to date in the classical RAM model, which
therefore cannot convert the advantage of unlimited memory and random access
into superior computing times for these problems.
| cs.DM cs.DS | we present semistreaming algorithms for basic graph problems that have optimal peredge processing times and therefore surpass all previous semistreaming algorithms for these tasks the semistreaming model which is appropriate when dealing with massive graphs forbids random access to the input and restricts the memory to onpolylog n bits particularly the formerly best peredge processing times for finding the connected components and a bipartition are oalphan for determining kvertex and kedge connectivity ok2n and onlog n respectively for any constant k and for computing a minimum spanning forest olog n all these time bounds we reduce to o1 every presented algorithm determines a solution asymptotically as fast as the best corresponding algorithm up to date in the classical ram model which therefore cannot convert the advantage of unlimited memory and random access into superior computing times for these problems | [['we', 'present', 'semistreaming', 'algorithms', 'for', 'basic', 'graph', 'problems', 'that', 'have', 'optimal', 'peredge', 'processing', 'times', 'and', 'therefore', 'surpass', 'all', 'previous', 'semistreaming', 'algorithms', 'for', 'these', 'tasks', 'the', 'semistreaming', 'model', 'which', 'is', 'appropriate', 'when', 'dealing', 'with', 'massive', 'graphs', 'forbids', 'random', 'access', 'to', 'the', 'input', 'and', 'restricts', 'the', 'memory', 'to', 'onpolylog', 'n', 'bits', 'particularly', 'the', 'formerly', 'best', 'peredge', 'processing', 'times', 'for', 'finding', 'the', 'connected', 'components', 'and', 'a', 'bipartition', 'are', 'oalphan', 'for', 'determining', 'kvertex', 'and', 'kedge', 'connectivity', 'ok2n', 'and', 'onlog', 'n', 'respectively', 'for', 'any', 'constant', 'k', 'and', 'for', 'computing', 'a', 'minimum', 'spanning', 'forest', 'olog', 'n', 'all', 'these', 'time', 'bounds', 'we', 'reduce', 'to', 'o1', 'every', 'presented', 'algorithm', 'determines', 'a', 'solution', 'asymptotically', 'as', 'fast', 'as', 'the', 'best', 'corresponding', 'algorithm', 'up', 'to', 'date', 'in', 'the', 'classical', 'ram', 'model', 'which', 'therefore', 'can', 'not', 'convert', 'the', 'advantage', 'of', 'unlimited', 'memory', 'and', 'random', 'access', 'into', 'superior', 'computing', 'times', 'for', 'these', 'problems']] | [-0.12720072023304446, 0.09156409290070379, -4.956818717930998e-05, 0.045280534281378744, -0.08816708828588682, -0.21512911891498204, 0.10826981019594574, 0.39234498560794495, -0.25740723877346944, -0.35778986818165454, 0.13742097826574795, -0.26493193613964, -0.10575349962704682, 0.19685177500359713, -0.04972777097219867, 0.10618865993539138, 0.07806660719483521, 0.059193079280001774, -0.005629283341113478, -0.3129096469087277, 0.17194994731772958, 0.038148199380209136, 0.2404086042860789, 0.012241981670792613, 0.10152344941161573, 0.03275729424120592, -0.014494289803717817, 0.00935490759023066, -0.0986729587247932, 0.09457082320794663, 0.2864681279469681, 0.18959883171732406, 0.2512471919679748, -0.4447198326722303, -0.18895912504355822, 0.17719877981248178, 0.18384431053751282, 0.09606324993302613, 0.01602608259833817, -0.18824891314143316, 0.15500631905077691, -0.0952111641776615, -0.02672276426539091, -0.05618175193002181, 0.07002890324885291, -0.0166808121737891, -0.32859356631192244, -0.019422266549164697, 0.07049266544968955, -0.05930234929214099, -0.009937139916499811, -0.16272975036076137, 0.07649528156533571, 0.14740474156341016, -0.059163215812960905, 0.08257743413560092, 0.06402374156626008, -0.10915701333766005, -0.18142670903221836, 0.3861520191022594, -0.024071004092028097, -0.15178896805071937, 0.13917275221652484, -0.06030126342416874, -0.18747525264375975, 0.1277655729125919, 0.17821734628773162, 0.1079489392719032, -0.10729520594852926, 0.1333111190008432, -0.047487699895698045, 0.17857723697753888, 0.11654176611253726, 0.07467127236471112, 0.09613168553582259, 0.13781225216142567, 0.14514845635894744, 0.13459760140228486, -0.007278987000297223, -0.08275510338633986, -0.23494172582203257, -0.1485622442876255, -0.22474688124909464, 0.022488970920780307, -0.21374390183076944, -0.16352600046084262, 0.3443165989725718, 0.16512277709511441, 0.20037752915772478, 0.1562500489892305, 0.3368590023302074, 0.0846407181234099, 0.07251847608713433, 0.2397371680642079, 0.11030785329972527, 0.0880301716820603, 0.0636078518233262, -0.1925069770808997, 0.09486864557922152, 0.07819441086945257] |
708.4285 | Constraints on Wrapped DBI Inflation in a Warped Throat | We derive constraints on the tensor to scalar ratio and on the background
charge of the warped throat for DBI inflation driven by D5- and D7-branes
wrapped over cycles of the throat. It is shown that the background charge well
beyond the known maximal value is required in most cases for DBI inflation to
generate cosmological observables compatible with the WMAP3 data. Most of the
results derived in this paper are insensitive to the details of the inflaton
potential, and could be applied to generic warped throats.
| hep-th astro-ph gr-qc hep-ph | we derive constraints on the tensor to scalar ratio and on the background charge of the warped throat for dbi inflation driven by d5 and d7branes wrapped over cycles of the throat it is shown that the background charge well beyond the known maximal value is required in most cases for dbi inflation to generate cosmological observables compatible with the wmap3 data most of the results derived in this paper are insensitive to the details of the inflaton potential and could be applied to generic warped throats | [['we', 'derive', 'constraints', 'on', 'the', 'tensor', 'to', 'scalar', 'ratio', 'and', 'on', 'the', 'background', 'charge', 'of', 'the', 'warped', 'throat', 'for', 'dbi', 'inflation', 'driven', 'by', 'd5', 'and', 'd7branes', 'wrapped', 'over', 'cycles', 'of', 'the', 'throat', 'it', 'is', 'shown', 'that', 'the', 'background', 'charge', 'well', 'beyond', 'the', 'known', 'maximal', 'value', 'is', 'required', 'in', 'most', 'cases', 'for', 'dbi', 'inflation', 'to', 'generate', 'cosmological', 'observables', 'compatible', 'with', 'the', 'wmap3', 'data', 'most', 'of', 'the', 'results', 'derived', 'in', 'this', 'paper', 'are', 'insensitive', 'to', 'the', 'details', 'of', 'the', 'inflaton', 'potential', 'and', 'could', 'be', 'applied', 'to', 'generic', 'warped', 'throats']] | [-0.13855111311944524, 0.10951340624034919, -0.03639148744144317, 0.10617942014714467, -0.09448765111209333, -0.1547757678781636, -0.05463190885105481, 0.29654797863472127, -0.16470534186917304, -0.27964616380631924, 0.11908176679019655, -0.25380848731374606, -0.10159977300135398, 0.18238748008674333, -0.09606337767822304, 0.005740052862521047, -0.007353708960233663, 0.04272814744269882, -0.03256817286748482, -0.2800876267158009, 0.3688737213311867, 0.11366033217944634, 0.24376072047342515, 0.0509889616588152, 0.08170964916359805, -0.07941572120327545, -0.02182303758702059, 0.01666785366499938, -0.17811315888099055, 0.08916078366596124, 0.1850213216210919, 0.1147195765448884, 0.0845199601039633, -0.45687966142920244, -0.22360935320157085, 0.14138338695703095, 0.17060190745918402, 0.14522239305186033, -0.0038373764823779635, -0.2705705452110918, 0.1029040871305798, -0.16462442439301048, -0.12682543002903976, -0.08553497026802907, 0.023237395512432545, -0.06773606579503101, -0.3029901532659671, 0.07655300760652399, -0.02849933565942164, -0.045018423594876955, -0.06634493495455418, -0.07996707303642199, -0.09814344833861909, 0.04117347105224242, 0.20276651860030112, 0.044466576670114506, 0.2005286312062593, -0.19694944070692272, -0.05560478406032312, 0.37415908871154335, -0.15476084205097165, -0.20993152513414964, 0.11496149975239117, -0.13476528021795997, -0.12310726200926235, 0.07281749821321547, 0.09881877846716122, 0.14292937386031637, -0.1366050129478005, 0.1715549489291888, 0.054075208995705365, 0.13975437077554478, 0.11625776246682494, 0.03697837911005635, 0.30090242094392405, 0.11929208992969716, 0.09353226419383039, 0.1307861467772538, -0.06718216477304526, -0.12441939444263765, -0.4110816867015828, -0.06089528271093451, -0.12763555535120655, 0.08264142268433652, -0.1750379204156276, -0.16353706822458966, 0.4117199507723937, 0.11964051895400231, 0.21297973712930326, 0.02754815335481845, 0.24442187310249983, 0.05544135329880934, 0.08176151600976785, 0.06872819353366035, 0.3238700848747173, 0.13114880586588948, 0.11965826685117537, -0.19311368126614853, -0.08017846875577822, 0.03347374818919376] |
708.4286 | Tunability of wire-grid metamaterial immersed into nematic liquid
crystal | We propose electrically tunable hybrid metamaterial consisting of special
wire grid immersed into nematic liquid crystal. The plasma-like permittivity of
the structure can be substantially varied due to switching of the liquid
crystal alignment by external voltages applied to the wires. Depending on the
scale of the structure, the effect is available for both microwave and optical
frequency ranges.
| cond-mat.mtrl-sci cond-mat.soft | we propose electrically tunable hybrid metamaterial consisting of special wire grid immersed into nematic liquid crystal the plasmalike permittivity of the structure can be substantially varied due to switching of the liquid crystal alignment by external voltages applied to the wires depending on the scale of the structure the effect is available for both microwave and optical frequency ranges | [['we', 'propose', 'electrically', 'tunable', 'hybrid', 'metamaterial', 'consisting', 'of', 'special', 'wire', 'grid', 'immersed', 'into', 'nematic', 'liquid', 'crystal', 'the', 'plasmalike', 'permittivity', 'of', 'the', 'structure', 'can', 'be', 'substantially', 'varied', 'due', 'to', 'switching', 'of', 'the', 'liquid', 'crystal', 'alignment', 'by', 'external', 'voltages', 'applied', 'to', 'the', 'wires', 'depending', 'on', 'the', 'scale', 'of', 'the', 'structure', 'the', 'effect', 'is', 'available', 'for', 'both', 'microwave', 'and', 'optical', 'frequency', 'ranges']] | [-0.20335449341495157, 0.22144755305943348, -0.00316938273292982, -0.09209381841010635, -0.09839614973624505, -0.17851152738666762, 0.04529252556799832, 0.45228984068005773, -0.2592372654353158, -0.3365701069518671, 0.03236076437031566, -0.21810009807616598, -0.07714855305503233, 0.1810440371272754, 0.032717118797413375, 0.015751970426763517, -0.06291307458433054, -0.07831224807048753, -0.0579265470190321, -0.13115337212033318, 0.2848173022917393, 0.030694988256288788, 0.3842000517425901, 0.04682523105737469, 0.11551075862026063, 0.002000651345982895, 0.11451366546926862, 0.07376052650141578, -0.12332016728439574, 0.0682696321726603, 0.2553697109964313, -0.13426566857576244, 0.1655862283324665, -0.49796814651433696, -0.2207777726037775, 0.037004550169143134, 0.12816233189097778, 0.13741185875230674, -0.047385833677993615, -0.28243667561308305, 0.03215518631672455, -0.1375791646887438, -0.11881439955273675, -0.0651463329460535, -0.047845314430483316, 0.05191502839985888, -0.2290970321598668, 0.020986074859955173, 0.034299478850374786, 0.04154036606077926, -0.07994765248859964, -0.09406575117796911, -0.029037112891042636, 0.06095291153227879, -0.013331597319693637, 0.006395868601877306, 0.24665318514709755, -0.10057074161467411, -0.05135681407557706, 0.39423758887007077, -0.07330794360930637, -0.20019923050895774, 0.12978609910992495, -0.14905689693730861, 0.039032609328248744, 0.16987860314666403, 0.20374948411224947, 0.05578655261009679, -0.13077194446508408, 0.06186901088073944, 0.010803349858733937, 0.261643955042049, 0.10170486771454246, 0.03572836077093321, 0.2660910172893082, 0.23758293519396398, 0.020461467686661725, 0.22751263989790707, -0.14111563785719858, -0.01670489037188433, -0.21916559780158607, -0.13340843153201928, -0.20365552440033122, 0.0348275076653177, -0.12715966746944074, -0.22800047965562445, 0.44143710325677266, 0.10908772599867593, 0.11990954831905537, -0.07603676295918176, 0.2822926216206308, 0.07254298867941913, 0.10605802061825485, -0.007260932539978412, 0.2839261195577989, 0.165129741499895, 0.1142470862290238, -0.30202831827514504, 0.03928100583696012, -0.01843464387170339] |
708.4287 | Dynamical sensitivity of the infinite cluster in critical percolation | In dynamical percolation, the status of every bond is refreshed according to
an independent Poisson clock. For graphs which do not percolate at criticality,
the dynamical sensitivity of this property was analyzed extensively in the last
decade. Here we focus on graphs which percolate at criticality, and investigate
the dynamical sensitivity of the infinite cluster. We first give two examples
of bounded degree graphs, one which percolates for all times at criticality and
one which has exceptional times of nonpercolation. We then make a nearly
complete analysis of this question for spherically symmetric trees with
spherically symmetric edge probabilities bounded away from 0 and 1. One
interesting regime occurs when the expected number of vertices at the nth level
that connect to the root at a fixed time is of order n(\log n)^\alpha. R. Lyons
(1990) showed that at a fixed time, there is an infinite cluster a.s. if and
only if \alpha >1. We prove that the probability that there is an infinite
cluster at all times is 1 if \alpha > 2, while this probability is 0 if
1<\alpha \le 2. Within the regime where a.s. there is an infinite cluster at
all times, there is yet another type of ``phase transition'' in the behavior of
the process: if the expected number of vertices at the nth level connecting to
the root at a fixed time is of order n^\theta with \theta > 2, then the number
of connected components of the set of times in [0,1] at which the root does not
percolate is finite a.s., while if 1<\theta < 2, then the number of such
components is infinite with positive probability.
| math.PR | in dynamical percolation the status of every bond is refreshed according to an independent poisson clock for graphs which do not percolate at criticality the dynamical sensitivity of this property was analyzed extensively in the last decade here we focus on graphs which percolate at criticality and investigate the dynamical sensitivity of the infinite cluster we first give two examples of bounded degree graphs one which percolates for all times at criticality and one which has exceptional times of nonpercolation we then make a nearly complete analysis of this question for spherically symmetric trees with spherically symmetric edge probabilities bounded away from 0 and 1 one interesting regime occurs when the expected number of vertices at the nth level that connect to the root at a fixed time is of order nlog nalpha r lyons 1990 showed that at a fixed time there is an infinite cluster as if and only if alpha 1 we prove that the probability that there is an infinite cluster at all times is 1 if alpha 2 while this probability is 0 if 1alpha le 2 within the regime where as there is an infinite cluster at all times there is yet another type of phase transition in the behavior of the process if the expected number of vertices at the nth level connecting to the root at a fixed time is of order ntheta with theta 2 then the number of connected components of the set of times in 01 at which the root does not percolate is finite as while if 1theta 2 then the number of such components is infinite with positive probability | [['in', 'dynamical', 'percolation', 'the', 'status', 'of', 'every', 'bond', 'is', 'refreshed', 'according', 'to', 'an', 'independent', 'poisson', 'clock', 'for', 'graphs', 'which', 'do', 'not', 'percolate', 'at', 'criticality', 'the', 'dynamical', 'sensitivity', 'of', 'this', 'property', 'was', 'analyzed', 'extensively', 'in', 'the', 'last', 'decade', 'here', 'we', 'focus', 'on', 'graphs', 'which', 'percolate', 'at', 'criticality', 'and', 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708.4288 | Pattern Matching in Trees and Strings | We study the design of efficient algorithms for combinatorial pattern
matching. More concretely, we study algorithms for tree matching, string
matching, and string matching in compressed texts.
| cs.DS | we study the design of efficient algorithms for combinatorial pattern matching more concretely we study algorithms for tree matching string matching and string matching in compressed texts | [['we', 'study', 'the', 'design', 'of', 'efficient', 'algorithms', 'for', 'combinatorial', 'pattern', 'matching', 'more', 'concretely', 'we', 'study', 'algorithms', 'for', 'tree', 'matching', 'string', 'matching', 'and', 'string', 'matching', 'in', 'compressed', 'texts']] | [-0.1057680326005168, 0.04900538735091686, -0.09098478384893732, 0.220916794957938, -0.1412724557298201, -0.13788711089916802, 0.10518823039752466, 0.49071211947335136, -0.2737932450793408, -0.3590505200403708, 0.1257890473180278, -0.21221200442286553, -0.21174780348384822, 0.11120746146749567, -0.1084508867589412, 0.1172384458973452, 0.1116356960049382, 0.06833398990609028, -0.05784857218316541, -0.23170570615265104, 0.30157443356734737, 0.052013161350731495, 0.35679143846586897, -0.01581381164767124, 0.026778875332739618, 0.07846208882552606, -0.1286637019366026, 0.03901647052003278, -0.20796925678021377, 0.20821584022983355, 0.3002231370795656, 0.2912989289120392, 0.08489743537373012, -0.4551337201286245, -0.08739821754257988, 0.12868137443783106, 0.21029202274426265, 0.23596119094226095, -0.08727362711700455, -0.17311608542998633, 0.20514518890046962, -0.07648454157256142, 0.07842700217885, -0.07703659531694872, 0.029707575699797383, -0.11621505058267051, -0.3101590221264848, -0.04441029799205286, 0.020584298987631446, 0.018125791447582067, 0.03182562223325173, -0.12430065263200689, 0.18094065730218534, 0.08626837931849339, -0.016184946867050947, 0.0690639746133928, 0.057586938315243634, -0.2433928630694195, -0.28216435442920085, 0.40853944503598744, -0.06769197537667221, -0.12970140645349468, 0.1118300822046068, 0.010670388324393166, -0.25713782640243016, 0.08602659080039572, 0.250326174966715, 0.19199619863044332, -0.15170281811582823, 0.07691423387775474, -0.13502973990721834, 0.12554069070352447, 0.26435809526420023, 0.02740841621050128, 0.17572951854930985, 0.25262932293117046, 0.12935915875628037, 0.20521953156976788, 0.0388922554406303, -0.07312565948814154, -0.20245495148830944, -0.06000785536512181, -0.13360693267788049, -0.13322773851730205, -0.22277039249753147, -0.2672346421275978, 0.40769057500141637, 0.1650007945243959, 0.13915390635116232, 0.1309656530480694, 0.3158247532254016, 0.0379358245473769, -0.04022352907944609, 0.14984617575451178, 0.08468911743343428, 0.1042685225881912, 0.05016414207164888, -0.18452445272770193, -0.009570225987031503, 0.18113312808175883] |
708.4289 | The rest mass of a system of two photons in different inertial reference
frames: 0+0=0 and 0+0>0 | We show that the rest mass of a system consisting of two photons is a
relativistic invariant having the same magnitude in all inertial reference
frames in relative motion. A scenario which starts with two photons where
theirs frequencies are equal to each other the magnitude of the rest mass of
the system depends on the angle made by the momentums of the two photons. The
behavior of the photons when detected from two inertial reference frames is
illustrated using a relativistic diagram which displays in true values the
physical quantities (scalar and vector) introduced in order to characterize the
dynamical properties of the photon. We consider that the obtained results
should be taken in the discussions, some time fierce, between those who ban the
concept of relativistic mass and those who consider that its use is harmless.
| physics.gen-ph | we show that the rest mass of a system consisting of two photons is a relativistic invariant having the same magnitude in all inertial reference frames in relative motion a scenario which starts with two photons where theirs frequencies are equal to each other the magnitude of the rest mass of the system depends on the angle made by the momentums of the two photons the behavior of the photons when detected from two inertial reference frames is illustrated using a relativistic diagram which displays in true values the physical quantities scalar and vector introduced in order to characterize the dynamical properties of the photon we consider that the obtained results should be taken in the discussions some time fierce between those who ban the concept of relativistic mass and those who consider that its use is harmless | [['we', 'show', 'that', 'the', 'rest', 'mass', 'of', 'a', 'system', 'consisting', 'of', 'two', 'photons', 'is', 'a', 'relativistic', 'invariant', 'having', 'the', 'same', 'magnitude', 'in', 'all', 'inertial', 'reference', 'frames', 'in', 'relative', 'motion', 'a', 'scenario', 'which', 'starts', 'with', 'two', 'photons', 'where', 'theirs', 'frequencies', 'are', 'equal', 'to', 'each', 'other', 'the', 'magnitude', 'of', 'the', 'rest', 'mass', 'of', 'the', 'system', 'depends', 'on', 'the', 'angle', 'made', 'by', 'the', 'momentums', 'of', 'the', 'two', 'photons', 'the', 'behavior', 'of', 'the', 'photons', 'when', 'detected', 'from', 'two', 'inertial', 'reference', 'frames', 'is', 'illustrated', 'using', 'a', 'relativistic', 'diagram', 'which', 'displays', 'in', 'true', 'values', 'the', 'physical', 'quantities', 'scalar', 'and', 'vector', 'introduced', 'in', 'order', 'to', 'characterize', 'the', 'dynamical', 'properties', 'of', 'the', 'photon', 'we', 'consider', 'that', 'the', 'obtained', 'results', 'should', 'be', 'taken', 'in', 'the', 'discussions', 'some', 'time', 'fierce', 'between', 'those', 'who', 'ban', 'the', 'concept', 'of', 'relativistic', 'mass', 'and', 'those', 'who', 'consider', 'that', 'its', 'use', 'is', 'harmless']] | [-0.15665133649051405, 0.20193152302754638, -0.08377330275792358, 0.050573344712746264, -0.021957866638304964, -0.11903173674954155, 0.0021072148709841395, 0.3574828265261823, -0.21577519659236397, -0.310498901831823, 0.04127071165071423, -0.30086468538080435, -0.05211794728824896, 0.18897649467639302, -0.03434715413933863, 0.0040626979887062025, 0.049942082796326795, 0.10079054000274534, -0.07212582055270078, -0.2124579347015453, 0.3455952899159351, 0.033621205789698426, 0.22960334110066996, -0.018932584767648274, 0.11583801882638448, 0.022111269736500537, -0.049161686469206885, 0.03383892732739881, -0.0893312611412472, 0.08097767433070618, 0.1821112917192901, 0.08101828533973025, 0.2635372213823586, -0.3739012370587907, -0.17560163532903392, 0.10057896250804914, 0.0870248727682654, 0.08834428734827679, -0.02376356081399338, -0.2821403399946681, 0.04268707098790269, -0.16088395796722962, -0.13533726278894945, 0.027009432743121262, 0.019430120431723586, 0.032086867891400514, -0.24129561079072132, 0.0705881225336613, 0.03851677499045289, 0.015716228121216747, -0.082428099311706, -0.07456045913462783, -0.04231289857863516, 0.15123542828719044, 0.10188691965911699, 0.006938841676447487, 0.14397230113019654, -0.11456795988530191, -0.11698921666686436, 0.44543082928419975, -0.05921643620788835, -0.20764934692693793, 0.1876151149255642, -0.18752987434804116, -0.07492104940963369, 0.12403941721878135, 0.14194430408837355, 0.11383615110231482, -0.1605598182621812, 0.0241442234685604, -0.05080231568317158, 0.17186908400954976, 0.07023158633450478, 0.08216200100487449, 0.218049305477652, 0.08443077013699635, -0.007892535958925018, 0.12582219562255373, -0.07087768441018905, -0.09544675930511153, -0.31234175877213693, -0.1501082490886683, -0.1786493384254003, 0.03566671569116306, -0.07915565247990805, -0.0964727827914707, 0.40865481119818875, 0.16782110274188977, 0.23315233974785043, 0.016950144113608352, 0.3127754409679387, 0.1038388273867684, 0.057592243852896914, 0.08940875425553489, 0.3264500823429114, 0.09355265344999245, 0.09344297800334575, -0.19519298500212692, 0.018198635165944048, 0.07048312288648247] |
708.429 | Near-infrared and Mid-infrared Spectroscopy with the Infrared Camera
(IRC) for AKARI | The Infrared Camera (IRC) is one of the two instruments on board the AKARI
satellite. In addition to deep imaging from 1.8-26.5um for the pointed
observation mode of the AKARI, it has a spectroscopic capability in its
spectral range. By replacing the imaging filters by transmission-type
dispersers on the filter wheels, it provides low-resolution (lambda/d_lambda ~
20-120) spectroscopy with slits or in a wide imaging field-of-view
(approximately 10'X10'). The IRC spectroscopic mode is unique in space infrared
missions in that it has the capability to perform sensitive wide-field
spectroscopic surveys in the near- and mid-infrared wavelength ranges. This
paper describes specifications of the IRC spectrograph and its in-orbit
performance.
| astro-ph | the infrared camera irc is one of the two instruments on board the akari satellite in addition to deep imaging from 18265um for the pointed observation mode of the akari it has a spectroscopic capability in its spectral range by replacing the imaging filters by transmissiontype dispersers on the filter wheels it provides lowresolution lambdad_lambda 20120 spectroscopy with slits or in a wide imaging fieldofview approximately 10x10 the irc spectroscopic mode is unique in space infrared missions in that it has the capability to perform sensitive widefield spectroscopic surveys in the near and midinfrared wavelength ranges this paper describes specifications of the irc spectrograph and its inorbit performance | [['the', 'infrared', 'camera', 'irc', 'is', 'one', 'of', 'the', 'two', 'instruments', 'on', 'board', 'the', 'akari', 'satellite', 'in', 'addition', 'to', 'deep', 'imaging', 'from', '18265um', 'for', 'the', 'pointed', 'observation', 'mode', 'of', 'the', 'akari', 'it', 'has', 'a', 'spectroscopic', 'capability', 'in', 'its', 'spectral', 'range', 'by', 'replacing', 'the', 'imaging', 'filters', 'by', 'transmissiontype', 'dispersers', 'on', 'the', 'filter', 'wheels', 'it', 'provides', 'lowresolution', 'lambdad_lambda', '20120', 'spectroscopy', 'with', 'slits', 'or', 'in', 'a', 'wide', 'imaging', 'fieldofview', 'approximately', '10x10', 'the', 'irc', 'spectroscopic', 'mode', 'is', 'unique', 'in', 'space', 'infrared', 'missions', 'in', 'that', 'it', 'has', 'the', 'capability', 'to', 'perform', 'sensitive', 'widefield', 'spectroscopic', 'surveys', 'in', 'the', 'near', 'and', 'midinfrared', 'wavelength', 'ranges', 'this', 'paper', 'describes', 'specifications', 'of', 'the', 'irc', 'spectrograph', 'and', 'its', 'inorbit', 'performance']] | [-0.0767224214445, 0.041316026263817585, -0.11381037888240139, -0.021055761367776694, -0.10981385871100258, -0.08467668207045996, 0.028967869546009613, 0.48986163559668466, -0.18691197810870297, -0.3514068672292919, 0.13934314125470096, -0.33203734949512304, -0.11043387264197797, 0.23538997266573375, -0.09268277951182341, 0.018177254106805502, 0.11334516186231994, -0.09705675610358704, 0.022804392611537622, -0.21252826351687787, 0.22832898900049017, 0.14829396953084725, 0.24625742725834673, -0.056213625827266064, 0.13327978382695396, 0.046948407732723456, -0.10552725605315195, -0.029405316748966043, -0.14879997312960289, 0.051874130094459035, 0.3120667642127406, 0.12162578485374567, 0.25018673373676203, -0.29171041358824606, -0.202821146846169, 0.029698034502425284, 0.14210235412707026, -0.06229528113496753, 0.02592344408556116, -0.3113823965156697, 0.016801231022361876, -0.13168721786647472, -0.14405501966874273, -0.008801063577609384, -0.024525844499706028, 0.0157504289077138, -0.22126890365737226, -0.07057381212658617, -0.08352176346025376, 0.141955150906348, -0.1307601439085666, -0.07154580036986549, -0.03535959108530561, 0.13470966526403813, -0.06951346911077019, 0.06694044001106138, 0.0874360345550022, -0.21612682746819942, -0.012742914048568258, 0.32029088605403955, -0.09438711958761625, -0.010633416192711524, 0.18697422119033225, -0.19608028154855348, -0.12858283879534113, 0.20327081190387034, 0.08342577322421349, 0.134031766893799, -0.20240357652622856, 0.129730423030505, -0.01409371735040485, 0.2456509125998841, 0.07976257218100694, 0.18913968015936608, 0.2555804293413805, 0.208976787286547, 0.09007347372518677, 0.1468460349243064, -0.3516845682873127, -0.008747752885474771, -0.21794932836859995, -0.13120920949325598, -0.16675682275123313, 0.016735976649764575, -0.04822194127707505, -0.09570891241639641, 0.3747246084374569, 0.17920941333198603, 0.11039956149487, -0.010110557685553466, 0.4264386085231068, 0.03297732719483803, 0.2052418259851072, -0.053252446544268785, 0.35697961333295647, 0.07191416818894586, 0.19270520698156138, -0.1912625539391126, -0.05142701815655631, -0.012685098138391832] |
708.4291 | Polymer and surface roughness effects on the drag crisis for falling
spheres | We make time resolved velocity measurements of steel spheres in free fall
through liquid using a continuous ultrasound technique. We explore two
different ways to induce large changes in drag on the spheres: 1) a small
quantity of viscoelastic polymer added to water and 2) altering the surface of
the sphere. Low concentration polymer solutions and/or a pattern of grooves in
the sphere surface induce an early drag crisis, which may reduce drag by more
than 50 percent compared to smooth spheres in pure water. On the other hand,
random surface roughness and/or high concentration polymer solutions reduce
drag progressively and suppress the drag crisis. We also present a
qualititative argument which ties the drag reduction observed in low
concentration polymer solutions to the Weissenberg number and normal stress
difference.
| physics.flu-dyn | we make time resolved velocity measurements of steel spheres in free fall through liquid using a continuous ultrasound technique we explore two different ways to induce large changes in drag on the spheres 1 a small quantity of viscoelastic polymer added to water and 2 altering the surface of the sphere low concentration polymer solutions andor a pattern of grooves in the sphere surface induce an early drag crisis which may reduce drag by more than 50 percent compared to smooth spheres in pure water on the other hand random surface roughness andor high concentration polymer solutions reduce drag progressively and suppress the drag crisis we also present a qualititative argument which ties the drag reduction observed in low concentration polymer solutions to the weissenberg number and normal stress difference | [['we', 'make', 'time', 'resolved', 'velocity', 'measurements', 'of', 'steel', 'spheres', 'in', 'free', 'fall', 'through', 'liquid', 'using', 'a', 'continuous', 'ultrasound', 'technique', 'we', 'explore', 'two', 'different', 'ways', 'to', 'induce', 'large', 'changes', 'in', 'drag', 'on', 'the', 'spheres', '1', 'a', 'small', 'quantity', 'of', 'viscoelastic', 'polymer', 'added', 'to', 'water', 'and', '2', 'altering', 'the', 'surface', 'of', 'the', 'sphere', 'low', 'concentration', 'polymer', 'solutions', 'andor', 'a', 'pattern', 'of', 'grooves', 'in', 'the', 'sphere', 'surface', 'induce', 'an', 'early', 'drag', 'crisis', 'which', 'may', 'reduce', 'drag', 'by', 'more', 'than', '50', 'percent', 'compared', 'to', 'smooth', 'spheres', 'in', 'pure', 'water', 'on', 'the', 'other', 'hand', 'random', 'surface', 'roughness', 'andor', 'high', 'concentration', 'polymer', 'solutions', 'reduce', 'drag', 'progressively', 'and', 'suppress', 'the', 'drag', 'crisis', 'we', 'also', 'present', 'a', 'qualititative', 'argument', 'which', 'ties', 'the', 'drag', 'reduction', 'observed', 'in', 'low', 'concentration', 'polymer', 'solutions', 'to', 'the', 'weissenberg', 'number', 'and', 'normal', 'stress', 'difference']] | [-0.11645421627529919, 0.21864703706704358, -0.09495779303761646, 0.010146177236654962, -0.03963940762084468, -0.16017755778694107, 0.03994906930137397, 0.33183701864855236, -0.27329973467849483, -0.3261340047817591, 0.09903945557885016, -0.29685926802687407, -0.11831230393885238, 0.16415782019995917, -0.08036296459568246, 0.03685644224228323, 0.020475715420447117, -0.05547536723315716, -0.06366983728208976, -0.2280569914584012, 0.2400000534605148, 0.027771070260236893, 0.28934287681973486, 0.10570362754628178, 0.08899266737722611, -0.005558547130677589, -0.01021468404738247, 0.09717248246622409, -0.19813793465538426, 0.06998613962589793, 0.20552906137530136, -0.04571997507857953, 0.2338080773231133, -0.5232165949491336, -0.2443592044517629, 0.09525561461210713, 0.11335703525728322, 0.11058660497520725, -0.04287850406878653, -0.1915975930927278, 0.018733985187817912, -0.1819022837881894, -0.16167353210580904, -0.022828343346021896, 0.04708939852904124, 0.032110861105286666, -0.200807783117359, 0.13332420209753904, 0.04086389686269758, 0.07368147587981219, -0.09221250664572729, -0.08824978683634783, -0.06785994619780848, 0.08605449670174903, 0.12492938424900983, 0.01974245749933775, 0.27695845601093855, -0.1717759770333998, 0.01213185210502887, 0.36055571842909784, -0.12335526902653193, -0.22066240784416133, 0.2554689444810903, -0.17816242571674692, -0.046483176543788855, 0.23410889324407244, 0.22117476866493913, 0.10570242453380957, -0.08577388004479251, -0.03313204535922079, 0.005820767990089664, 0.20777942791270712, 0.16543181661458672, -0.07068262707221849, 0.20307939372913436, 0.16346039331713041, 0.09769638416234606, 0.14975103784339908, -0.13714063039424923, -0.034732201887482356, -0.21833335745415483, -0.19199712128313476, -0.16222146556120684, 0.029315254997323056, -0.15093016718632032, -0.1788853428614427, 0.29792195658899784, 0.08927375665241347, 0.20958699013806822, 0.04520585438482059, 0.25680707084635895, 0.06583053709906635, 0.07761810650659162, 0.020558735386417934, 0.2510453157863298, 0.10991417191554467, 0.1180407967988777, -0.24662133526641788, 0.06781790657113343, 0.05762595816176067] |
708.4292 | The evolution of planetary nebulae IV. On the physics of the luminosity
function | The nebular evolution is followed from the vicinity of the asymptotic-giant
branch across the Hertzsprung-Russell diagram until the white-dwarf domain is
reached, using various central-star models coupled to different initial
envelope configurations. Along each sequence the relevant line emissions of the
nebulae are computed and analysed. Maximum line luminosities in Hbeta and
[OIII] 5007A are achieved at stellar effective temperatures of about 65000K and
95000-100000K, respectively, provided the nebula remains optically thick for
ionising photons. In the optically thin case, the maximum line emission occurs
at or shortly after the thick/thin transition. Our models suggest that most
planetary nebulae with hotter (>~ 45000K) central stars are optically thin in
the Lyman continuum, and that their [OIII] 5007A emission fails to explain the
bright end of the observed planetary nebulae luminosity function. However,
sequences with central stars of >~ 0.6 Msun and rather dense initial envelopes
remain virtually optically thick and are able to populate the bright end of the
luminosity function. Individual luminosity functions depend strongly on the
central-star mass and on the variation of the nebular optical depth with time.
Hydrodynamical simulations of planetary nebulae are essential for any
understanding of the basic physics behind their observed luminosity function.
In particular, our models do not support the claim of Marigo et.al (2004)
according to which the maximum 5007A luminosity occurs during the recombination
phase well beyond 100 000K when the stellar luminosity declines and the nebular
models become, at least partially, optically thick. Consequently, there is no
need to invoke relatively massive central stars of, say > 0.7 Msun, to account
for the bright end of the luminosity function.
| astro-ph | the nebular evolution is followed from the vicinity of the asymptoticgiant branch across the hertzsprungrussell diagram until the whitedwarf domain is reached using various centralstar models coupled to different initial envelope configurations along each sequence the relevant line emissions of the nebulae are computed and analysed maximum line luminosities in hbeta and oiii 5007a are achieved at stellar effective temperatures of about 65000k and 95000100000k respectively provided the nebula remains optically thick for ionising photons in the optically thin case the maximum line emission occurs at or shortly after the thickthin transition our models suggest that most planetary nebulae with hotter 45000k central stars are optically thin in the lyman continuum and that their oiii 5007a emission fails to explain the bright end of the observed planetary nebulae luminosity function however sequences with central stars of 06 msun and rather dense initial envelopes remain virtually optically thick and are able to populate the bright end of the luminosity function individual luminosity functions depend strongly on the centralstar mass and on the variation of the nebular optical depth with time hydrodynamical simulations of planetary nebulae are essential for any understanding of the basic physics behind their observed luminosity function in particular our models do not support the claim of marigo etal 2004 according to which the maximum 5007a luminosity occurs during the recombination phase well beyond 100 000k when the stellar luminosity declines and the nebular models become at least partially optically thick consequently there is no need to invoke relatively massive central stars of say 07 msun to account for the bright end of the luminosity function | [['the', 'nebular', 'evolution', 'is', 'followed', 'from', 'the', 'vicinity', 'of', 'the', 'asymptoticgiant', 'branch', 'across', 'the', 'hertzsprungrussell', 'diagram', 'until', 'the', 'whitedwarf', 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708.4293 | Viscous Withdrawal of Miscible Liquid Layers | In viscous withdrawal, a converging flow imposed in an upper layer of viscous
liquid entrains liquid from a lower, stably stratified layer. Using the idea
that a thin tendril is entrained by a local straining flow, we propose a
scaling law for the volume flux of liquid entrained from miscible liquid
layers. A long-wavelength model including only local information about the
withdrawal flow is degenerate, with multiple tendril solutions for one
withdrawal condition. Including information about the global geometry of the
withdrawal flow removes the degeneracy while introducing only a logarithmic
dependence on the global flow parameters into the scaling law.
| physics.flu-dyn | in viscous withdrawal a converging flow imposed in an upper layer of viscous liquid entrains liquid from a lower stably stratified layer using the idea that a thin tendril is entrained by a local straining flow we propose a scaling law for the volume flux of liquid entrained from miscible liquid layers a longwavelength model including only local information about the withdrawal flow is degenerate with multiple tendril solutions for one withdrawal condition including information about the global geometry of the withdrawal flow removes the degeneracy while introducing only a logarithmic dependence on the global flow parameters into the scaling law | [['in', 'viscous', 'withdrawal', 'a', 'converging', 'flow', 'imposed', 'in', 'an', 'upper', 'layer', 'of', 'viscous', 'liquid', 'entrains', 'liquid', 'from', 'a', 'lower', 'stably', 'stratified', 'layer', 'using', 'the', 'idea', 'that', 'a', 'thin', 'tendril', 'is', 'entrained', 'by', 'a', 'local', 'straining', 'flow', 'we', 'propose', 'a', 'scaling', 'law', 'for', 'the', 'volume', 'flux', 'of', 'liquid', 'entrained', 'from', 'miscible', 'liquid', 'layers', 'a', 'longwavelength', 'model', 'including', 'only', 'local', 'information', 'about', 'the', 'withdrawal', 'flow', 'is', 'degenerate', 'with', 'multiple', 'tendril', 'solutions', 'for', 'one', 'withdrawal', 'condition', 'including', 'information', 'about', 'the', 'global', 'geometry', 'of', 'the', 'withdrawal', 'flow', 'removes', 'the', 'degeneracy', 'while', 'introducing', 'only', 'a', 'logarithmic', 'dependence', 'on', 'the', 'global', 'flow', 'parameters', 'into', 'the', 'scaling', 'law']] | [-0.15413055465658113, 0.1576920325493516, -0.11052290174538398, -0.015579688397356042, -0.032668400952352745, -0.15763070493807443, 0.05672585211912087, 0.26973023259145495, -0.3500477325650725, -0.27427069520079855, 0.14119022374852827, -0.2790319474579969, -0.05684622035979634, 0.1452198159940873, -0.04661086190141516, 0.04378603997243808, -0.015955498612642584, -0.019310504234958403, -0.0615013567799942, -0.1458545811808585, 0.29888241451307396, 0.02057797209899135, 0.31005857774231693, 0.05561449189006471, 0.15872080495009327, -0.06968781709357506, 0.04008225715802152, 0.05575151638229295, -0.1966203398208536, 0.07321424595089537, 0.14913623461887093, -0.019574913228539253, 0.2695808385010108, -0.5016245747925622, -0.28953813554921953, 0.02794929046534223, 0.11200794927997164, 0.0926977224431305, -0.06392137638620553, -0.2130188621801905, 0.046897584175930755, -0.18902509346936303, -0.13207042608571487, -0.028903937548177668, -0.03990375711628706, 0.00647754476798726, -0.2733024426598775, 0.16736001429138797, 0.1080201681666445, 0.0697461656513186, -0.10834181048713698, -0.03315526779768712, -0.12757776520851224, 0.11648650775262441, 0.09480378186067401, -0.003320290142264549, 0.2087471386703598, -0.22732066038516488, 0.025507739761217247, 0.3386511310086687, -0.08883584069899551, -0.1841040739264007, 0.1652245592916071, -0.1190787829726123, -0.039940583187681025, 0.21723949425567937, 0.18135794899760663, 0.08060070495930902, -0.12110737818616009, 0.01940711504678325, -0.12384652603177888, 0.22069935718237763, 0.09153506599624853, -0.06831041378162728, 0.24574758636184257, 0.20434897351493636, 0.15266715729664457, 0.1547220827588618, -0.09563084733862623, -0.1358634107884499, -0.30807308949089823, -0.13690827617255769, -0.13312279435778313, 0.06039110343386926, -0.1269091921535754, -0.1652563402410781, 0.3600418915658599, 0.03919565157577543, 0.17907010348015787, 0.027667790678984457, 0.3283062490570073, 0.0770294284079187, 0.06799785596419974, 0.18161092345063382, 0.2644031422470908, 0.11932962756871365, 0.12529558288685558, -0.21299408775947914, 0.09518632984784718, 0.1289937691486413] |
708.4294 | Large sample asymptotics for the two-parameter Poisson--Dirichlet
process | This paper explores large sample properties of the two-parameter
$(\alpha,\theta)$ Poisson--Dirichlet Process in two contexts. In a Bayesian
context of estimating an unknown probability measure, viewing this process as a
natural extension of the Dirichlet process, we explore the consistency and weak
convergence of the the two-parameter Poisson--Dirichlet posterior process. We
also establish the weak convergence of properly centered two-parameter
Poisson--Dirichlet processes for large $\theta+n\alpha.$ This latter result
complements large $\theta$ results for the Dirichlet process and
Poisson--Dirichlet sequences, and complements a recent result on large
deviation principles for the two-parameter Poisson--Dirichlet process. A
crucial component of our results is the use of distributional identities that
may be useful in other contexts.
| math.PR math.ST stat.TH | this paper explores large sample properties of the twoparameter alphatheta poissondirichlet process in two contexts in a bayesian context of estimating an unknown probability measure viewing this process as a natural extension of the dirichlet process we explore the consistency and weak convergence of the the twoparameter poissondirichlet posterior process we also establish the weak convergence of properly centered twoparameter poissondirichlet processes for large thetanalpha this latter result complements large theta results for the dirichlet process and poissondirichlet sequences and complements a recent result on large deviation principles for the twoparameter poissondirichlet process a crucial component of our results is the use of distributional identities that may be useful in other contexts | [['this', 'paper', 'explores', 'large', 'sample', 'properties', 'of', 'the', 'twoparameter', 'alphatheta', 'poissondirichlet', 'process', 'in', 'two', 'contexts', 'in', 'a', 'bayesian', 'context', 'of', 'estimating', 'an', 'unknown', 'probability', 'measure', 'viewing', 'this', 'process', 'as', 'a', 'natural', 'extension', 'of', 'the', 'dirichlet', 'process', 'we', 'explore', 'the', 'consistency', 'and', 'weak', 'convergence', 'of', 'the', 'the', 'twoparameter', 'poissondirichlet', 'posterior', 'process', 'we', 'also', 'establish', 'the', 'weak', 'convergence', 'of', 'properly', 'centered', 'twoparameter', 'poissondirichlet', 'processes', 'for', 'large', 'thetanalpha', 'this', 'latter', 'result', 'complements', 'large', 'theta', 'results', 'for', 'the', 'dirichlet', 'process', 'and', 'poissondirichlet', 'sequences', 'and', 'complements', 'a', 'recent', 'result', 'on', 'large', 'deviation', 'principles', 'for', 'the', 'twoparameter', 'poissondirichlet', 'process', 'a', 'crucial', 'component', 'of', 'our', 'results', 'is', 'the', 'use', 'of', 'distributional', 'identities', 'that', 'may', 'be', 'useful', 'in', 'other', 'contexts']] | [-0.0541437996518133, 0.07557666755240332, -0.10987799510413813, 0.12466883833722672, -0.08814741334104578, -0.060921635366477336, 0.07999590676731064, 0.32809095461353927, -0.3186457081298743, -0.23306579815523168, 0.08188321103079943, -0.21197522230379814, -0.14901475801265665, 0.1925218684149773, -0.1266024583331143, 0.09647653182868712, 0.07893031729119164, -0.0282776661333628, -0.028186816129683784, -0.177587880387104, 0.36314251129182856, 0.06302999972831458, 0.3042062667165218, -0.028834189995125468, 0.11535820855143746, 0.02939925090426446, -0.06070502062045437, -0.050179532945289144, -0.21065071978780128, 0.13633984053740278, 0.2170600285254685, 0.12238420672032849, 0.30650224673861104, -0.3078222353149483, -0.19332842667686886, 0.16194865290890448, 0.14702378496960072, 0.047570585705606, -0.028152552438509053, -0.2868219203249152, 0.045540720174488215, -0.18090804290425563, -0.15483726860423172, -0.0582358867894592, 0.021846508224760846, 0.06368472579093318, -0.35329846632053624, 0.11638741804485367, 0.1746967602599138, 0.04011639924387315, 0.004242301968458507, -0.1494330408750102, 0.06022061781966061, 0.12717931982063288, 0.11295892160654018, -0.004334974235721997, 0.09071239851514942, -0.11785990653775766, -0.13739448962067918, 0.3109809200063215, -0.07463369350132, -0.21512723120395094, 0.17900805164494418, -0.19224200631392055, -0.26141891433923903, 0.08727277563801701, 0.16823867574566975, 0.15613941404236747, -0.21026399221071707, 0.1289332186471646, -0.08610828315743545, 0.08048586753596153, 0.07316413964144886, -0.007093988902592433, 0.16215448694752663, 0.1706205013615545, 0.06001967352183003, 0.19223507280808658, -0.07832892781880219, -0.15114162375539308, -0.3473184940355298, -0.18193810943713679, -0.20730642832599447, 0.05400013276084792, -0.1941444820088561, -0.19548040792246216, 0.34423636743615915, 0.1658515732030667, 0.24077335252409934, 0.11124911561689389, 0.1789664448671309, 0.13631471054655517, -0.00012091631547913753, -0.010879703398261751, 0.14509180613718595, 0.1427620977213207, 0.0768080030393321, -0.10210700130223163, 0.13054363949777326, 0.05718091636871187] |
708.4295 | Numerical study on Schramm-Loewner Evolution in nonminimal conformal
field theories | The Schramm-Loewner evolution (SLE) is a powerful tool to describe fractal
interfaces in 2D critical statistical systems. Yet the application of SLE is
well established for statistical systems described by quantum field theories
satisfying only conformal invariance, the so called minimal conformal field
theories (CFTs). We consider interfaces in Z(N) spin models at their self-dual
critical point for N=4 and N=5. These lattice models are described in the
continuum limit by non-minimal CFTs where the role of a Z_N symmetry, in
addition to the conformal one, should be taken into account. We provide
numerical results on the fractal dimension of the interfaces which are SLE
candidates for non-minimal CFTs. Our results are in excellent agreement with
some recent theoretical predictions.
| cond-mat.other hep-th math-ph math.MP | the schrammloewner evolution sle is a powerful tool to describe fractal interfaces in 2d critical statistical systems yet the application of sle is well established for statistical systems described by quantum field theories satisfying only conformal invariance the so called minimal conformal field theories cfts we consider interfaces in zn spin models at their selfdual critical point for n4 and n5 these lattice models are described in the continuum limit by nonminimal cfts where the role of a z_n symmetry in addition to the conformal one should be taken into account we provide numerical results on the fractal dimension of the interfaces which are sle candidates for nonminimal cfts our results are in excellent agreement with some recent theoretical predictions | [['the', 'schrammloewner', 'evolution', 'sle', 'is', 'a', 'powerful', 'tool', 'to', 'describe', 'fractal', 'interfaces', 'in', '2d', 'critical', 'statistical', 'systems', 'yet', 'the', 'application', 'of', 'sle', 'is', 'well', 'established', 'for', 'statistical', 'systems', 'described', 'by', 'quantum', 'field', 'theories', 'satisfying', 'only', 'conformal', 'invariance', 'the', 'so', 'called', 'minimal', 'conformal', 'field', 'theories', 'cfts', 'we', 'consider', 'interfaces', 'in', 'zn', 'spin', 'models', 'at', 'their', 'selfdual', 'critical', 'point', 'for', 'n4', 'and', 'n5', 'these', 'lattice', 'models', 'are', 'described', 'in', 'the', 'continuum', 'limit', 'by', 'nonminimal', 'cfts', 'where', 'the', 'role', 'of', 'a', 'z_n', 'symmetry', 'in', 'addition', 'to', 'the', 'conformal', 'one', 'should', 'be', 'taken', 'into', 'account', 'we', 'provide', 'numerical', 'results', 'on', 'the', 'fractal', 'dimension', 'of', 'the', 'interfaces', 'which', 'are', 'sle', 'candidates', 'for', 'nonminimal', 'cfts', 'our', 'results', 'are', 'in', 'excellent', 'agreement', 'with', 'some', 'recent', 'theoretical', 'predictions']] | [-0.1170175164724545, 0.15338947956915944, -0.06756825650809332, 0.11674643505248242, -0.02944310233773043, -0.22022016577733058, -0.049182195606408644, 0.3548799841237875, -0.17473498509886365, -0.22959828726015985, 0.09932663976893916, -0.30242554595461113, -0.15359981584479102, 0.18329755094600841, 0.0023223447264172138, 0.13149959261063487, -0.01564318601352473, 0.01785548497985777, -0.057283837154197194, -0.2553633390557176, 0.3052811826385247, 0.010015864591696299, 0.2528872036995987, 0.05147215008037165, 0.052279350374010394, -0.009528190549463033, 0.013769114138752533, 0.04663365310213218, -0.19818632291765728, 0.1081030669932564, 0.27017092866086995, 0.034192929577936106, 0.13588083325885236, -0.4538940294335286, -0.2755993039890503, 0.0476958103167514, 0.17594721198935684, 0.11143861157179344, -0.03558884922628446, -0.2731477885584657, 0.0752137858789259, -0.10212370270552734, -0.18348265836636227, -0.09737190860323608, 0.0175847188977059, -0.05320018509713312, -0.2401706257563395, 0.0715345662397643, 0.06534580105702238, 0.12943032165057958, -0.04320928056646759, -0.07011398579149196, -0.05819893047058334, 0.11556186997622717, 0.06580856005797008, 0.07027062348788604, 0.10947322454788568, -0.17414343471949298, -0.16238560320343823, 0.3717314268345945, -0.03207862083800137, -0.23236699978200098, 0.2085346655047033, -0.1627818376912425, -0.22033957081924502, 0.0556884420531181, 0.11878867758205161, 0.09441077631587784, -0.14212638575894138, 0.2080038228379029, -0.018709102695963035, 0.09994337108340308, 0.005191074981121346, 0.026727077581684473, 0.29579163089899035, 0.1283493604355802, -0.008111334161367268, 0.1321347015046437, 0.023326716981440163, -0.15231902200418215, -0.38394584183891617, -0.18185238460234057, -0.1598439952901875, 0.07851916802270958, -0.17539843889717305, -0.1574686029382671, 0.354698670480866, 0.1668901128812043, 0.16027549133602104, 0.09499162624221451, 0.16499623300042005, 0.13786751739680767, 0.0872225028288085, 0.06858959768045073, 0.22879981004443833, 0.165569199656602, 0.06891984836450622, -0.19546596475023156, -0.04115136942030707, 0.13308771523491789] |
708.4296 | Nuclear physics with spherically symmetric supernova models | Few years ago, Boltzmann neutrino transport led to a new and reliable
generation of spherically symmetric models of stellar core collapse and
postbounce evolution. After the failure to prove the principles of the
supernova explosion mechanism, these sophisticated models continue to
illuminate the close interaction between high-density matter under extreme
conditions and the transport of leptons and energy in general relativistically
curved space-time. We emphasize that very different input physics is likely to
be relevant for the different evolutionary phases, e.g. nuclear structure for
weak rates in collapse, the equation of state of bulk nuclear matter during
bounce, multidimensional plasma dynamics in the postbounce evolution, and
neutrino cross sections in the explosive nucleosynthesis. We illustrate the
complexity of the dynamics using preliminary 3D MHD high-resolution simulations
based on parameterized deleptonization. With established spherically symmetric
models we show that typical features of the different phases are reflected in
the predicted neutrino signal and that a consistent neutrino flux leads to
electron fractions larger than 0.5 in neutrino-driven supernova ejecta.
| astro-ph | few years ago boltzmann neutrino transport led to a new and reliable generation of spherically symmetric models of stellar core collapse and postbounce evolution after the failure to prove the principles of the supernova explosion mechanism these sophisticated models continue to illuminate the close interaction between highdensity matter under extreme conditions and the transport of leptons and energy in general relativistically curved spacetime we emphasize that very different input physics is likely to be relevant for the different evolutionary phases eg nuclear structure for weak rates in collapse the equation of state of bulk nuclear matter during bounce multidimensional plasma dynamics in the postbounce evolution and neutrino cross sections in the explosive nucleosynthesis we illustrate the complexity of the dynamics using preliminary 3d mhd highresolution simulations based on parameterized deleptonization with established spherically symmetric models we show that typical features of the different phases are reflected in the predicted neutrino signal and that a consistent neutrino flux leads to electron fractions larger than 05 in neutrinodriven supernova ejecta | [['few', 'years', 'ago', 'boltzmann', 'neutrino', 'transport', 'led', 'to', 'a', 'new', 'and', 'reliable', 'generation', 'of', 'spherically', 'symmetric', 'models', 'of', 'stellar', 'core', 'collapse', 'and', 'postbounce', 'evolution', 'after', 'the', 'failure', 'to', 'prove', 'the', 'principles', 'of', 'the', 'supernova', 'explosion', 'mechanism', 'these', 'sophisticated', 'models', 'continue', 'to', 'illuminate', 'the', 'close', 'interaction', 'between', 'highdensity', 'matter', 'under', 'extreme', 'conditions', 'and', 'the', 'transport', 'of', 'leptons', 'and', 'energy', 'in', 'general', 'relativistically', 'curved', 'spacetime', 'we', 'emphasize', 'that', 'very', 'different', 'input', 'physics', 'is', 'likely', 'to', 'be', 'relevant', 'for', 'the', 'different', 'evolutionary', 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708.4297 | The Two-Photon-Exchange and \gamma Z-Exchange Corrections to
parity-Violating Elastic Electron-Proton Scattering | Leading electroweak corrections play an important role in precision
measurements of the strange form factors. We calculate the two-photon-exchange
(TPE) and $\gamma Z$-exchange corrections to the parity-violating asymmetry of
the elastic electron-proton scattering in a simple hadronic model including the
finite size of the proton. We find both can reach a few percent and are
comparable in size with the current experimental measurements of strange-quark
effects in the proton neutral weak current. The effect of $\gamma Z$-exchange
is in general larger than that of TPE, especially at low momentum transfer
$Q^2\le 1 GeV^2$. Their combined effects on the values of $G^s_E+\beta G^s_M$
extracted in recent experiments can be as large as -40% in certain kinematics.
| hep-ph nucl-th | leading electroweak corrections play an important role in precision measurements of the strange form factors we calculate the twophotonexchange tpe and gamma zexchange corrections to the parityviolating asymmetry of the elastic electronproton scattering in a simple hadronic model including the finite size of the proton we find both can reach a few percent and are comparable in size with the current experimental measurements of strangequark effects in the proton neutral weak current the effect of gamma zexchange is in general larger than that of tpe especially at low momentum transfer q2le 1 gev2 their combined effects on the values of gs_ebeta gs_m extracted in recent experiments can be as large as 40 in certain kinematics | [['leading', 'electroweak', 'corrections', 'play', 'an', 'important', 'role', 'in', 'precision', 'measurements', 'of', 'the', 'strange', 'form', 'factors', 'we', 'calculate', 'the', 'twophotonexchange', 'tpe', 'and', 'gamma', 'zexchange', 'corrections', 'to', 'the', 'parityviolating', 'asymmetry', 'of', 'the', 'elastic', 'electronproton', 'scattering', 'in', 'a', 'simple', 'hadronic', 'model', 'including', 'the', 'finite', 'size', 'of', 'the', 'proton', 'we', 'find', 'both', 'can', 'reach', 'a', 'few', 'percent', 'and', 'are', 'comparable', 'in', 'size', 'with', 'the', 'current', 'experimental', 'measurements', 'of', 'strangequark', 'effects', 'in', 'the', 'proton', 'neutral', 'weak', 'current', 'the', 'effect', 'of', 'gamma', 'zexchange', 'is', 'in', 'general', 'larger', 'than', 'that', 'of', 'tpe', 'especially', 'at', 'low', 'momentum', 'transfer', 'q2le', '1', 'gev2', 'their', 'combined', 'effects', 'on', 'the', 'values', 'of', 'gs_ebeta', 'gs_m', 'extracted', 'in', 'recent', 'experiments', 'can', 'be', 'as', 'large', 'as', '40', 'in', 'certain', 'kinematics']] | [-0.07163327797316014, 0.22291100937582087, -0.046362203865757456, 0.11910723090354029, -0.020568825369295867, -0.05467927125485047, 0.014892914839615317, 0.31605751049583375, -0.21788017282505398, -0.28870479850574277, -0.0010401298443827292, -0.3399603688360556, -0.020948337949812414, 0.200121420631995, 0.05828803627063399, 0.05478534334473332, 0.04788191265264607, 0.017518030220399734, -0.09381134250687193, -0.17896037927282082, 0.3006187357534857, 0.10190023011426724, 0.23767747501640216, 0.1687800148906915, 0.03741221421843638, 0.02054026474285385, -0.055545986800090125, 0.011722947470843792, -0.11230081360737804, 0.07176417304283898, 0.23712229937436463, 0.008346590907920315, 0.16638390728798896, -0.4192144987051902, -0.12955484946217874, 0.09341273678709631, 0.1357851440107207, 0.12917501544377402, -0.04203367969122432, -0.22058080067939084, 0.06733173136801823, -0.23026084964690002, -0.1078086016054326, -0.10255779864104546, 0.030751155418060398, -0.010107461921870708, -0.3087900365824285, 0.11747926351533312, -0.03304971626595311, 0.023586173544880813, -0.033815416904247324, -0.23317613423822206, -0.007828825724351665, 0.10792388438206652, 0.08546984729093864, 0.0847078758696823, 0.1679312496982596, -0.21281416606481957, -0.1024254333673288, 0.41940234039464724, -0.08970486267290138, -0.15784212471107426, 0.08414557209319394, -0.24828829299658536, -0.12673930071051354, 0.1563090373478506, 0.24374592430565667, 0.08860773307666102, -0.10910842417860808, 0.0932923994606624, -0.006272686537071738, 0.15522364380809925, 0.06138832818757257, 0.0615874634109154, 0.1630577689725096, 0.18282119563740232, -0.04427266927516979, 0.05121557697674017, -0.14112266174760527, -0.04184134238925965, -0.3533036053828571, -0.07124776739789092, -0.0663887733593583, 0.08984489379395003, -0.12770153497441913, -0.09226309056343186, 0.3161056708038339, 0.13889106505590937, 0.2695751102479256, -0.018624194310573133, 0.3266058206750566, 0.1152895850898779, 0.1313562181879483, 0.02651364385433819, 0.3424932955318819, 0.139738045859596, 0.0923917701376764, -0.269372131138959, 0.09259312642616746, -0.013348872805743114] |
708.4298 | Dilatation structures in sub-riemannian geometry | Based on the notion of dilatation structure arXiv:math/0608536, we give an
intrinsic treatment to sub-riemannian geometry, started in the paper
arXiv:0706.3644 .
Here we prove that regular sub-riemannian manifolds admit dilatation
structures. From the existence of normal frames proved by Bellaiche we deduce
the rest of the properties of regular sub-riemannian manifolds by using the
formalism of dilatation structures.
| math.DG math.MG | based on the notion of dilatation structure arxivmath0608536 we give an intrinsic treatment to subriemannian geometry started in the paper arxiv07063644 here we prove that regular subriemannian manifolds admit dilatation structures from the existence of normal frames proved by bellaiche we deduce the rest of the properties of regular subriemannian manifolds by using the formalism of dilatation structures | [['based', 'on', 'the', 'notion', 'of', 'dilatation', 'structure', 'arxivmath0608536', 'we', 'give', 'an', 'intrinsic', 'treatment', 'to', 'subriemannian', 'geometry', 'started', 'in', 'the', 'paper', 'arxiv07063644', 'here', 'we', 'prove', 'that', 'regular', 'subriemannian', 'manifolds', 'admit', 'dilatation', 'structures', 'from', 'the', 'existence', 'of', 'normal', 'frames', 'proved', 'by', 'bellaiche', 'we', 'deduce', 'the', 'rest', 'of', 'the', 'properties', 'of', 'regular', 'subriemannian', 'manifolds', 'by', 'using', 'the', 'formalism', 'of', 'dilatation', 'structures']] | [-0.14201604470144957, 0.04211576090295109, -0.11008571627150689, 0.08754559839352234, -0.1075911296398512, -0.05346626592134791, -0.05721633307361377, 0.3862602959187435, -0.3044623605507825, -0.20628096332075074, 0.08821730404451955, -0.2513986271806061, -0.21604295917287736, 0.1674170226656965, -0.1353638451795892, 0.003149473374443395, 0.06551236103821013, 0.08272508850287912, -0.16129185466810927, -0.19675462647657177, 0.4624272722202087, 0.028603670802632614, 0.2717626941240659, 0.04183675488457084, 0.13626690463362529, 0.0029529662486830993, -0.021779212967625687, 0.028986234234512916, -0.23548658151893115, 0.17249503500560032, 0.20251751322731643, 0.06480340117871362, 0.17130227756570093, -0.4674857480983649, -0.14472639987278463, 0.08589203452824481, 0.06734789827273094, 0.04994213502920632, -0.02987454816684476, -0.31238487793598324, 0.07401861268694379, -0.05006851091249181, -0.22910957477454627, -0.08336847060958721, 0.019137453387624452, -0.01901168252308188, -0.12415511119200216, 0.09903377989706184, 0.19155001021655543, 0.1273573269967788, -0.10004136879329703, -0.037517835768604915, -0.06347578125756367, 0.1170755243178324, 0.02501526810894055, -0.026233263288824155, 0.10681808345075947, -0.00638089917733201, -0.13253471577939177, 0.3669091770758054, -0.04949557912602488, -0.2680328108170735, 0.10414036862701843, -0.17214004427660257, -0.18243785344696203, 0.07732527472710769, 0.15759863912327482, 0.17756718024611473, -0.1489804628415316, 0.2027352448951985, -0.0841087980744695, 0.046179148800937195, 0.13187877153645136, 0.0018054806444394802, 0.09606125851028732, 0.12163180309081716, 0.15088061334764852, 0.16734269643036118, -0.021229395572195893, -0.05310229973734489, -0.3522444107802585, -0.1555440161808162, -0.12821586923590594, 0.18449293916845427, -0.10695963737920725, -0.216244817079444, 0.3808851811502661, 0.058867514570010826, 0.18152861599810421, 0.13980270208724374, 0.18820985702664725, 0.021774848515633494, 0.05649063945747912, 0.13015260234741227, 0.2157795104264681, 0.2311510279624989, 0.015208395854902588, -0.16376307840775034, -0.03191830042383766, 0.2150866722388725] |
708.4299 | Robinson-Trautman spacetimes with an electromagnetic field in higher
dimensions | We investigate higher dimensional Robinson-Trautman spacetimes with an
electromagnetic field aligned with the hypersurface orthogonal, non-shearing,
expanding geodesic null congruence. After integrating the system of
Einstein-Maxwell equations with an arbitrary cosmological constant, we present
the complete family of solutions. In odd spacetime dimensions they represent
(generalized) Reissner-Nordstrom-de Sitter black holes. The event horizon (more
generically, the transverse space) may be any Einstein space, and the full
metric is specified by three independent parameters related to mass, electric
charge and cosmological constant. These solutions also exhaust the class of
Robinson-Trautman spacetimes with an aligned Maxwell-Chern-Simons field (the CS
term must vanish because of the alignment assumption and of the Einstein
equations). In even dimensions an additional magnetic "monopole-like" parameter
is also allowed provided now the transverse space is an (almost-)Kahler
Einstein manifold. The Weyl tensor of all such solutions is of algebraic type
D. We also consider the possible inclusion of aligned pure radiation.
| gr-qc hep-th | we investigate higher dimensional robinsontrautman spacetimes with an electromagnetic field aligned with the hypersurface orthogonal nonshearing expanding geodesic null congruence after integrating the system of einsteinmaxwell equations with an arbitrary cosmological constant we present the complete family of solutions in odd spacetime dimensions they represent generalized reissnernordstromde sitter black holes the event horizon more generically the transverse space may be any einstein space and the full metric is specified by three independent parameters related to mass electric charge and cosmological constant these solutions also exhaust the class of robinsontrautman spacetimes with an aligned maxwellchernsimons field the cs term must vanish because of the alignment assumption and of the einstein equations in even dimensions an additional magnetic monopolelike parameter is also allowed provided now the transverse space is an almostkahler einstein manifold the weyl tensor of all such solutions is of algebraic type d we also consider the possible inclusion of aligned pure radiation | [['we', 'investigate', 'higher', 'dimensional', 'robinsontrautman', 'spacetimes', 'with', 'an', 'electromagnetic', 'field', 'aligned', 'with', 'the', 'hypersurface', 'orthogonal', 'nonshearing', 'expanding', 'geodesic', 'null', 'congruence', 'after', 'integrating', 'the', 'system', 'of', 'einsteinmaxwell', 'equations', 'with', 'an', 'arbitrary', 'cosmological', 'constant', 'we', 'present', 'the', 'complete', 'family', 'of', 'solutions', 'in', 'odd', 'spacetime', 'dimensions', 'they', 'represent', 'generalized', 'reissnernordstromde', 'sitter', 'black', 'holes', 'the', 'event', 'horizon', 'more', 'generically', 'the', 'transverse', 'space', 'may', 'be', 'any', 'einstein', 'space', 'and', 'the', 'full', 'metric', 'is', 'specified', 'by', 'three', 'independent', 'parameters', 'related', 'to', 'mass', 'electric', 'charge', 'and', 'cosmological', 'constant', 'these', 'solutions', 'also', 'exhaust', 'the', 'class', 'of', 'robinsontrautman', 'spacetimes', 'with', 'an', 'aligned', 'maxwellchernsimons', 'field', 'the', 'cs', 'term', 'must', 'vanish', 'because', 'of', 'the', 'alignment', 'assumption', 'and', 'of', 'the', 'einstein', 'equations', 'in', 'even', 'dimensions', 'an', 'additional', 'magnetic', 'monopolelike', 'parameter', 'is', 'also', 'allowed', 'provided', 'now', 'the', 'transverse', 'space', 'is', 'an', 'almostkahler', 'einstein', 'manifold', 'the', 'weyl', 'tensor', 'of', 'all', 'such', 'solutions', 'is', 'of', 'algebraic', 'type', 'd', 'we', 'also', 'consider', 'the', 'possible', 'inclusion', 'of', 'aligned', 'pure', 'radiation']] | [-0.22901087785307075, 0.15723584569182955, -0.016971243514977637, 0.06856388350632163, -0.1476224114832292, -0.15017519414035324, -0.12771146454897045, 0.31804490183766176, -0.19548561693065697, -0.2450894403600079, 0.09076147834204283, -0.2649693398468586, -0.08547093419759881, 0.12503667600647686, -0.02666236605385647, 0.02755782192609474, 0.0072901232192426725, 0.0860245357422779, -0.12330538411267114, -0.2871849822820913, 0.44032969416478296, 0.057133847898560165, 0.25074100492558643, -0.03222726866164628, 0.1535467532725116, -0.004315187720874069, -0.005890511931985422, 0.10569240919141604, -0.16838732064287695, 0.03717462122714257, 0.20664360201339316, 0.11216667545627418, 0.16201570768554518, -0.4083963434875401, -0.20907591036794818, 0.13342958933436402, 0.16015847486267293, 0.15787639804030357, -0.021138389882942803, -0.3090767025996267, 0.051954150764466404, -0.1654004075540096, -0.23105715874132085, -0.07073083791419182, 0.03173314075874396, -0.04283640293854903, -0.23056598834988656, 0.06921180977514227, 0.07965663235841526, 0.006587377755470525, -0.17343279754049054, -0.04804314690142918, -0.05140033303729557, 0.04750134439201526, 0.12946292555516623, 0.060913239289196876, 0.09219119131711184, -0.09472388389819565, -0.10391692207133994, 0.3631454626401868, -0.08326815430750596, -0.30335013518487314, 0.11313374521929065, -0.1796014554265223, -0.10030250851478842, 0.15125450331815124, 0.12334786410126956, 0.1874898247195566, -0.12727598755261282, 0.19612349958723604, -0.01692418753492092, 0.1267577469701958, 0.13042952834013727, 0.03795513847319324, 0.28327019509914164, 0.036220803415536684, 0.06690477095300855, 0.11626999562201425, -0.014749513741193059, -0.08556544204247092, -0.3855992189724169, -0.19526951071605378, -0.12793392900398817, 0.1373239533300055, -0.21569820160078176, -0.2155795155908742, 0.32369492298259944, 0.07169510006639815, 0.12211594501018731, 0.017859112020898488, 0.23279115426163605, 0.08532985822134803, 0.048920274642143956, 0.13155909284859518, 0.2829732094972023, 0.14185909179854966, 0.10650672284837544, -0.18625089067819656, -0.08759747969071849, 0.08482154606677153] |
708.43 | Limits on the 2.2 microns contrast ratio of the close orbiting planet HD
189733b | We obtained 238 spectra of the close orbiting extrasolar giant planet HD
189733b with resolution R ~ 15,000 during one night of observations with the
near infrared spectrograph, NIRSPEC, at the Keck II Telescope. We have searched
for planetary absorption signatures in the 2.0 - 2.4 micron region where H_2O
and CO are expected to be the dominant atmospheric opacities. We employ a phase
dependent orbital model and tomographic techniques to search for the planetary
absorption signatures in the combined stellar and planetary spectra. Because
potential absorption signatures are hidden in the noise of each single
exposure, we use a model list of lines to apply a spectral deconvolution. The
resulting mean profile possesses a S/N ratio that is 20 times greater than that
found in individual lines. Our spectral timeseries thus yields spectral
signatures with a mean S/N = 2720. We are unable to detect a planetary
signature at a contrast ratio of log_10(F_p/F_*) = -3.40, with 63.8 per cent
confidence. Our findings are not consistent with model predictions which
nevertheless give a good fit to mid-infrared observations of HD 189733. The
1-sigma result is a factor of 1.7 times less than the predicted 2.185 micron
planet/star flux ratio of log_10(F_p/F_*) ~ -3.16.
| astro-ph | we obtained 238 spectra of the close orbiting extrasolar giant planet hd 189733b with resolution r 15000 during one night of observations with the near infrared spectrograph nirspec at the keck ii telescope we have searched for planetary absorption signatures in the 20 24 micron region where h_2o and co are expected to be the dominant atmospheric opacities we employ a phase dependent orbital model and tomographic techniques to search for the planetary absorption signatures in the combined stellar and planetary spectra because potential absorption signatures are hidden in the noise of each single exposure we use a model list of lines to apply a spectral deconvolution the resulting mean profile possesses a sn ratio that is 20 times greater than that found in individual lines our spectral timeseries thus yields spectral signatures with a mean sn 2720 we are unable to detect a planetary signature at a contrast ratio of log_10f_pf_ 340 with 638 per cent confidence our findings are not consistent with model predictions which nevertheless give a good fit to midinfrared observations of hd 189733 the 1sigma result is a factor of 17 times less than the predicted 2185 micron planetstar flux ratio of log_10f_pf_ 316 | [['we', 'obtained', '238', 'spectra', 'of', 'the', 'close', 'orbiting', 'extrasolar', 'giant', 'planet', 'hd', '189733b', 'with', 'resolution', 'r', '15000', 'during', 'one', 'night', 'of', 'observations', 'with', 'the', 'near', 'infrared', 'spectrograph', 'nirspec', 'at', 'the', 'keck', 'ii', 'telescope', 'we', 'have', 'searched', 'for', 'planetary', 'absorption', 'signatures', 'in', 'the', '20', '24', 'micron', 'region', 'where', 'h_2o', 'and', 'co', 'are', 'expected', 'to', 'be', 'the', 'dominant', 'atmospheric', 'opacities', 'we', 'employ', 'a', 'phase', 'dependent', 'orbital', 'model', 'and', 'tomographic', 'techniques', 'to', 'search', 'for', 'the', 'planetary', 'absorption', 'signatures', 'in', 'the', 'combined', 'stellar', 'and', 'planetary', 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708.4301 | Zooming into the large circumstellar disk in M 17 | This paper has been withdrawn by the authors.
| astro-ph | this paper has been withdrawn by the authors | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors']] | [-0.10261085256934166, -0.04523250472266227, -0.18098232802003622, -0.15798902076494414, -0.15956164104864, -0.009353606728836894, -0.059683346524252556, 0.36475658789277077, -0.23344220919534564, -0.37511192448437214, 0.12130584195256233, -0.35290066339075565, -0.17170235351659358, -0.01896117883734405, -0.36158941220492125, 0.1636120118200779, 0.002602849155664444, -0.1042635221965611, 0.008419576566666365, -0.43589685298502445, 0.3621276104822755, 0.1895527308806777, 0.24357462208718061, 0.2666564517421648, 0.00039600918535143137, -0.12894290644908324, -0.1469218146521598, 0.03432111535221338, -0.22575463773682714, 0.10821886174380779, 0.2312005367130041, 0.02513463850482367, 0.5460753925144672, -0.38857956416904926, -0.3278416804969311, 0.18838408472947776, 0.2772608562372625, 0.17717281449586153, -0.1631847177632153, -0.426311700604856, 0.2747193432878703, -0.43463580310344696, -0.11432027380215004, 0.0533572337590158, 0.18299385556019843, -0.14211456943303347, -0.012790583074092865, 0.013489786419086158, 0.21036057360470295, 0.252729298081249, 0.09068585140630603, -0.2053479952737689, 0.1389471327420324, 0.18762166472151875, 0.2914976039901376, 0.13011004246072844, -0.08143618376925588, 0.022579902346478775, -0.12390881264582276, 0.2875483985990286, 0.1170982092153281, -0.22702799690887332, 0.06599645968526602, 0.0064934801193885505, -0.18687572004273534, 0.12113789608702064, 0.10930800472851843, 0.10050519020296633, -0.3942193961702287, 0.33274377731140703, -0.16791192104574293, 0.13436409644782543, 0.2628298152703792, -0.1329721063375473, 0.08857034891843796, 0.17781916074454784, -0.06154137756675482, 0.23833937395829707, 0.02215969981625676, 0.06456466112285852, -0.11650219187140465, -0.19772817566990852, -0.3288825387135148, 0.06030815199483186, 0.3686190329026431, 0.0066545638255774975, 0.4815722834318876, 0.2044235486537218, 0.07703234534710646, -0.1576846926473081, 0.34364183340221643, 0.2320147653663298, 0.10163916787132621, -0.018606338649988174, 0.4192611938342452, 0.09959917239029892, 0.2628146994393319, 0.03184909699484706, 0.33998381439596415, 0.2403092491440475] |
708.4302 | On the photon polarization in radiative B -> phi K gamma decay | The photon polarization in radiative decays B -> Y gamma is known to be a
subtle probe of the effective Lagrangian structure and possible New Physics
effects. We discuss exclusive decay mode B -> phi K gamma where the
experimentally distinct final state makes analysis especially promising. The
possibility to extract information on the photon polarization out of the data
entirely depends on the partial waves interference pattern in the phi K system.
| hep-ph | the photon polarization in radiative decays b y gamma is known to be a subtle probe of the effective lagrangian structure and possible new physics effects we discuss exclusive decay mode b phi k gamma where the experimentally distinct final state makes analysis especially promising the possibility to extract information on the photon polarization out of the data entirely depends on the partial waves interference pattern in the phi k system | [['the', 'photon', 'polarization', 'in', 'radiative', 'decays', 'b', 'y', 'gamma', 'is', 'known', 'to', 'be', 'a', 'subtle', 'probe', 'of', 'the', 'effective', 'lagrangian', 'structure', 'and', 'possible', 'new', 'physics', 'effects', 'we', 'discuss', 'exclusive', 'decay', 'mode', 'b', 'phi', 'k', 'gamma', 'where', 'the', 'experimentally', 'distinct', 'final', 'state', 'makes', 'analysis', 'especially', 'promising', 'the', 'possibility', 'to', 'extract', 'information', 'on', 'the', 'photon', 'polarization', 'out', 'of', 'the', 'data', 'entirely', 'depends', 'on', 'the', 'partial', 'waves', 'interference', 'pattern', 'in', 'the', 'phi', 'k', 'system']] | [-0.16817229309342277, 0.191706637379674, -0.10498396178681246, 0.0947422218208962, -0.10883205255139357, -0.17116197007773837, 0.09849424727923486, 0.3123701130577796, -0.3160575739777004, -0.2650469297569403, -0.007136419854900786, -0.31456236901994744, -0.06792788067832589, 0.15100050730709458, 0.08524872366548844, 0.054041997188518584, 0.03917793745279942, 0.0599655241305402, -0.028987036316990067, -0.13099735494847345, 0.30489342460330104, 0.05511124864955184, 0.26121284583793347, 0.08215302831663841, 0.03887129874250681, 0.029381644449682092, -0.08048960611119237, -0.05997401210938541, -0.14636904215046637, 0.014347105391953193, 0.2041326168085068, 0.11765197683847181, 0.14521530209909336, -0.35054585668192784, -0.14625903348845076, 0.11135686843649445, 0.13844450843900863, 0.07780042268388287, -0.0187593327972933, -0.293533592996463, 0.05026931734755635, -0.07736261876982073, -0.08370849545299024, -0.08699936418413697, 0.07308364508699783, -0.08092746349759924, -0.29920088712037474, 0.061293129275903815, 0.007399878225249934, -0.001615697986931658, 0.04252675734460354, -0.15916601992638546, -0.034191706939272475, 0.06995056462998857, 0.056336256514736255, 0.08562679447620634, 0.1750169702884282, -0.13548976654501657, -0.10237262534423613, 0.38520436497851157, -0.09227778722571445, -0.18281633041890888, 0.14858485658285797, -0.20766336396074211, -0.12355524343504033, 0.19379757182069227, 0.20248058200879415, 0.1270717576910204, -0.1331110226431481, 0.109566206400263, -0.003896140447542281, 0.18673667011284073, 0.04371797348516927, 0.10602711883216152, 0.2190396079767338, 0.15492928680688353, -0.000899969454211983, 0.13023880398078022, -0.11882317113086686, -0.041823322983937414, -0.3411965497612009, -0.1459257556912555, -0.10677338165393374, 0.08397349959377094, -0.05285598619527046, -0.09103424830073623, 0.393178822918677, 0.087011478316616, 0.2015627178783253, -0.08476658322205635, 0.3192072006493387, 0.07302842138361343, 0.027009968037559638, 0.0338107039692851, 0.3039980469874933, 0.17083648855889766, 0.08685013466895046, -0.29173826278043047, 0.0531982336665543, -0.04291063729791679] |
708.4303 | Nonperturbative ghost dynamics in the maximal Abelian gauge | We construct the effective potential for the ghost condensate
<f^{abi}\bar{c}^a c^b> in the maximal Abelian gauge. This condensate is an
order parameter for a global continuous symmetry, which is spontaneously broken
since a nonvanishing value of <f^{abi}\bar{c}^a c^b> lowers the vacuum energy.
The associated Goldstone mode turns out to be unphysical.
| hep-th | we construct the effective potential for the ghost condensate fabibarca cb in the maximal abelian gauge this condensate is an order parameter for a global continuous symmetry which is spontaneously broken since a nonvanishing value of fabibarca cb lowers the vacuum energy the associated goldstone mode turns out to be unphysical | [['we', 'construct', 'the', 'effective', 'potential', 'for', 'the', 'ghost', 'condensate', 'fabibarca', 'cb', 'in', 'the', 'maximal', 'abelian', 'gauge', 'this', 'condensate', 'is', 'an', 'order', 'parameter', 'for', 'a', 'global', 'continuous', 'symmetry', 'which', 'is', 'spontaneously', 'broken', 'since', 'a', 'nonvanishing', 'value', 'of', 'fabibarca', 'cb', 'lowers', 'the', 'vacuum', 'energy', 'the', 'associated', 'goldstone', 'mode', 'turns', 'out', 'to', 'be', 'unphysical']] | [-0.184650521459324, 0.25881025888179, -0.09747503141929605, 0.09438664607979282, -0.10515226024602141, -0.12766149254249676, 0.04592586403750643, 0.2869551561924876, -0.240670416124013, -0.1967107937766277, 0.09708968930811222, -0.21473263785699193, -0.0608382023186708, 0.034089037578324884, -0.01777866549257721, 0.02922488391703489, -0.06138749044312506, 0.0699357745351688, -0.0606480635541054, -0.20658709937516523, 0.3324741079491012, 0.020357548658336912, 0.3409298448538294, 0.0910371917261913, 0.10366494404104519, -0.0062222114944716495, 0.047795754591269154, -0.03476925580097096, -0.10966764785805527, 0.0019653629397555273, 0.18603722442283618, -0.014513088200165301, 0.22467559674631196, -0.3493185241763689, -0.1933618305365042, 0.2210373551185642, 0.17513560190112615, 0.16428409067068098, -0.040480939604874165, -0.2733113111129829, 0.08369275063456853, -0.20316628302561537, -0.24030957685793009, -0.11728905270598372, -0.00011673359656516387, -0.12771709232914205, -0.3493658747067865, 0.11567242075487193, 0.020731158602070445, 0.01942349744162389, -0.07910297833839242, -0.058405289492969005, -0.12534400623063652, 0.027335554437369715, 0.1301083177309103, 0.09901247633031893, 0.10667182089124179, -0.2055995924236747, -0.03671119346910594, 0.4015585837163487, -0.09067997160814323, -0.19131785140809965, 0.09374531372260227, -0.07346771878893582, -0.08596272184988674, 0.19612794244966034, 0.08433433523287578, 0.07861301829392205, -0.10358320733494296, 0.1697602123592277, -0.04449141893668899, 0.16514717546120591, 0.06383972088521232, 0.023217478748030807, 0.29076152654098614, 0.07980667877638219, 0.10867293082101613, 0.15139519622577924, -0.01713998706260582, -0.15966593462745754, -0.3971600195735085, -0.16179163373854696, -0.17523336829795808, 0.07499935690845762, -0.07249381197426392, -0.151602662291986, 0.42159050170864376, 0.09421545850607205, 0.19241372809498286, -0.020640905706535036, 0.23372954439980034, 0.1717489517046785, 0.14991102433212253, 0.02387206862224456, 0.3135110743495883, 0.10245632664633117, 0.03635417541717084, -0.31655275536587046, -0.1186377184218442, 0.09261843718930471] |
708.4304 | Control of atomic currents using a quantum stirring device | We propose a BEC stirring device which can be regarded as the incorporation
of a quantum pump into a closed circuit: it produces a DC circulating current
in response to a cyclic adiabatic change of two control parameters of an
optical trap. We demonstrate the feasibility of this concept and point out that
such device can be utilized in order to probe the interatomic interactions.
| cond-mat.mes-hall cond-mat.other quant-ph | we propose a bec stirring device which can be regarded as the incorporation of a quantum pump into a closed circuit it produces a dc circulating current in response to a cyclic adiabatic change of two control parameters of an optical trap we demonstrate the feasibility of this concept and point out that such device can be utilized in order to probe the interatomic interactions | [['we', 'propose', 'a', 'bec', 'stirring', 'device', 'which', 'can', 'be', 'regarded', 'as', 'the', 'incorporation', 'of', 'a', 'quantum', 'pump', 'into', 'a', 'closed', 'circuit', 'it', 'produces', 'a', 'dc', 'circulating', 'current', 'in', 'response', 'to', 'a', 'cyclic', 'adiabatic', 'change', 'of', 'two', 'control', 'parameters', 'of', 'an', 'optical', 'trap', 'we', 'demonstrate', 'the', 'feasibility', 'of', 'this', 'concept', 'and', 'point', 'out', 'that', 'such', 'device', 'can', 'be', 'utilized', 'in', 'order', 'to', 'probe', 'the', 'interatomic', 'interactions']] | [-0.1831829597743658, 0.15070318565905416, -0.11296644648268389, -0.013318712373550695, -0.029786204919219017, -0.15589668271490015, 0.06735008577816189, 0.38177622029414543, -0.30844326043644776, -0.26810072070130936, 0.04413384155800136, -0.20717928781389044, -0.12892440599747576, 0.23549450340752417, -0.035628013792805946, 0.0448801980407622, -0.011674406107228535, 0.0062444981903983995, -0.025341108050913764, -0.19374713275151756, 0.23496597428591207, 0.01841970254989484, 0.27313098231187233, 0.08367752729413601, 0.09661566731161796, -0.009270194065398895, 0.08660264703660057, 0.056545672823603337, -0.0804351127676245, 0.08065119666548876, 0.24841949280637962, 0.05655360761671685, 0.26371622979640963, -0.47231709412657297, -0.23753622568284088, 0.10131868076725647, 0.1607136918661686, 0.18695539680775256, -0.07516319585534242, -0.2631162634262672, 0.03571805219667462, -0.21858439750682848, -0.11462430985501179, -0.1106739053520589, -0.01525087499847779, 0.034597426237395174, -0.31359080931243416, -0.02029135264456272, 0.07649255532484789, 0.031883467074770196, -0.03592730686068535, -0.008312907643043078, 0.01831845942025001, 0.11213569055454663, -0.06405133496826658, 0.03509317258946024, 0.21867663375316904, -0.10058648737434012, -0.12275866085233597, 0.39039584025740626, -0.109731568591311, -0.18158429481375676, 0.12930460995278106, -0.09301707825551812, -0.014483657020788927, 0.08956406513372293, 0.18399074737412424, 0.07337441768210667, -0.17231162449774834, 0.00620167220924766, -0.008141008828981564, 0.18435988340464135, 0.06236522253602743, 0.05084503104623694, 0.2881827166447273, 0.2020176009203379, 0.08195099834925854, 0.21628345416214032, -0.10059716870578436, -0.06531409371930819, -0.300941859321812, -0.17666410345297592, -0.18545513330743862, 0.10918319719628646, -0.03809422289643687, -0.1613714567743815, 0.45153802186250686, 0.18462456092238427, 0.17992705227090763, -0.05868974996265024, 0.3237809417052911, 0.14925709075133245, 0.11027585697861818, 0.01063962931243273, 0.2619871840024224, 0.11178835352452901, 0.06573463264996042, -0.2884850736420888, 0.031107600835653452, 0.014666898262042266] |
708.4305 | Gauge-Higgs Unification from the Heterotic String | We present a 6D orbifold model on $T^2/\Z2$ which emerges as intermediate
step in the compactification of the heterotic string to the supersymmetric
standard model in four dimensions. It has $\SU6$ gauge symmetry in the bulk and
two pairs of inequivalent fixed points with unbroken $\SU5$ and $\SU2 \times
\SU4$ symmetry, respectively. All anomalies are cancelled by the Green-Schwarz
mechanism. Two quark-lepton generations are located at the $\SU5$ branes, the
third family is composed of split bulk hypermultiplets. The model has vacua
with partial or full gauge-Higgs unification and non-vanishing Yukawa couplings
which generically avoid the unsuccessful $\SU5$ mass relations.
| hep-th | we present a 6d orbifold model on t2z2 which emerges as intermediate step in the compactification of the heterotic string to the supersymmetric standard model in four dimensions it has su6 gauge symmetry in the bulk and two pairs of inequivalent fixed points with unbroken su5 and su2 times su4 symmetry respectively all anomalies are cancelled by the greenschwarz mechanism two quarklepton generations are located at the su5 branes the third family is composed of split bulk hypermultiplets the model has vacua with partial or full gaugehiggs unification and nonvanishing yukawa couplings which generically avoid the unsuccessful su5 mass relations | [['we', 'present', 'a', '6d', 'orbifold', 'model', 'on', 't2z2', 'which', 'emerges', 'as', 'intermediate', 'step', 'in', 'the', 'compactification', 'of', 'the', 'heterotic', 'string', 'to', 'the', 'supersymmetric', 'standard', 'model', 'in', 'four', 'dimensions', 'it', 'has', 'su6', 'gauge', 'symmetry', 'in', 'the', 'bulk', 'and', 'two', 'pairs', 'of', 'inequivalent', 'fixed', 'points', 'with', 'unbroken', 'su5', 'and', 'su2', 'times', 'su4', 'symmetry', 'respectively', 'all', 'anomalies', 'are', 'cancelled', 'by', 'the', 'greenschwarz', 'mechanism', 'two', 'quarklepton', 'generations', 'are', 'located', 'at', 'the', 'su5', 'branes', 'the', 'third', 'family', 'is', 'composed', 'of', 'split', 'bulk', 'hypermultiplets', 'the', 'model', 'has', 'vacua', 'with', 'partial', 'or', 'full', 'gaugehiggs', 'unification', 'and', 'nonvanishing', 'yukawa', 'couplings', 'which', 'generically', 'avoid', 'the', 'unsuccessful', 'su5', 'mass', 'relations']] | [-0.1835230692581396, 0.24035724667324262, 0.004503683342287938, 0.1384736893832627, -0.08991093302352561, -0.2268244969573888, 0.022197701523757794, 0.32928488666022365, -0.12134892395650497, -0.29968663350904756, 0.0634845023671391, -0.2712119571921049, -0.08153875040906397, -0.01633780012189439, -0.007938027946334896, -0.011537702453106341, -0.07663325996389801, 0.021129244421091344, -0.14559094828431202, -0.31542243834848355, 0.32376586459577084, -0.08021595254728589, 0.296859777410223, -0.0024039804831975037, 0.11804431181099981, -0.07147881153246595, 0.061824329738326446, -0.13134135261667196, -0.046113318076940496, 0.0942725470745842, 0.2220285745064794, -0.014258659768125249, 0.023055690444178052, -0.4372295222969519, -0.18966193951553467, 0.13692120266043478, 0.18023556284606457, 0.1312048237822536, -0.02108016024658814, -0.3149724867608812, 0.08940982002637941, -0.19846325742569987, -0.13286578075400543, -0.0493306278902567, -0.065951249896163, -0.21035331538455052, -0.2807779154279316, 0.08303813311045594, -0.027522869111800737, 0.059201611857390916, 0.006923197665148311, -0.10698373687002018, -0.1696697907437655, 0.04020484622257451, 0.23537541553730879, 0.02837011105653764, 0.10099897006611255, -0.16180274094633681, -0.1851076380222697, 0.43350743091455896, -0.04297711599542938, -0.19782529198658663, 0.1490497723823846, -0.09671917135446248, -0.21386553088410032, 0.10895206386957204, 0.07156946035478302, 0.11894595417231697, -0.11885353563485121, 0.2636829597735542, -0.08423778141914594, 0.11055974607153636, 0.09412739989394793, 0.029609307279866753, 0.3147432500722282, 0.1552100292021277, 0.03587985909402822, 0.03682619459325015, -0.017277691581502858, -0.16197802145354512, -0.4835739074594746, -0.07800406257791276, -0.06544013589625294, 0.10085471773125006, -0.13990780464805677, -0.1114000647959083, 0.4173038025207893, 0.061874956870921934, 0.22224221907255023, 0.035488967946025005, 0.1814217445901548, 0.03002584747196354, 0.1471893185787279, -0.014022185264926667, 0.24361111822001863, 0.10791822160109689, 0.005722420125484767, -0.23763733688798366, -0.1808231696674619, 0.2356698782220859] |
708.4306 | Blazar microvariability at hard X-rays | Blazars are known to display strong and erratic variability at almost all the
wavelengths of electromagnetic spectrum. Presently, variability studies at
high-energies (hard X-rays, gamma-rays) are hampered by low sensitivity of the
instruments. Nevertheless, the latest generation of satellites (INTEGRAL,
Swift) have given suggestions not yet fully confirmed of variability on
intraday timescales. Some specific cases recently observed are presented and
physical implications are discussed (e.g. NRAO 530). The contribution that
SIMBOL-X could give in this research topic is also outlined.
| astro-ph | blazars are known to display strong and erratic variability at almost all the wavelengths of electromagnetic spectrum presently variability studies at highenergies hard xrays gammarays are hampered by low sensitivity of the instruments nevertheless the latest generation of satellites integral swift have given suggestions not yet fully confirmed of variability on intraday timescales some specific cases recently observed are presented and physical implications are discussed eg nrao 530 the contribution that simbolx could give in this research topic is also outlined | [['blazars', 'are', 'known', 'to', 'display', 'strong', 'and', 'erratic', 'variability', 'at', 'almost', 'all', 'the', 'wavelengths', 'of', 'electromagnetic', 'spectrum', 'presently', 'variability', 'studies', 'at', 'highenergies', 'hard', 'xrays', 'gammarays', 'are', 'hampered', 'by', 'low', 'sensitivity', 'of', 'the', 'instruments', 'nevertheless', 'the', 'latest', 'generation', 'of', 'satellites', 'integral', 'swift', 'have', 'given', 'suggestions', 'not', 'yet', 'fully', 'confirmed', 'of', 'variability', 'on', 'intraday', 'timescales', 'some', 'specific', 'cases', 'recently', 'observed', 'are', 'presented', 'and', 'physical', 'implications', 'are', 'discussed', 'eg', 'nrao', '530', 'the', 'contribution', 'that', 'simbolx', 'could', 'give', 'in', 'this', 'research', 'topic', 'is', 'also', 'outlined']] | [-0.10098872989715066, 0.1686318242451015, -0.04139495459327727, 0.19316011877661501, -0.14798509564400178, -0.11755450280314242, 0.0024504218089543743, 0.5095122888868238, -0.18724225112596343, -0.35225184183613756, 0.14646642450616915, -0.32171511007357895, -0.06485695232648725, 0.2873059871870978, -0.04754086113107293, 0.016642802918076884, 0.08456073386197979, -0.10041567427968537, 0.03654514760480343, -0.2551552315190848, 0.2349073445700385, 0.14900295217636467, 0.22829705090434463, 0.08269255904963722, 0.05931702865442882, -0.07383388093166789, -0.13444309717872077, -0.03269456224759015, -0.06793299575243217, 0.05515110152371136, 0.30102745158436855, 0.08648737338601531, 0.19038645729974465, -0.3721380823199856, -0.2589996214999162, 0.07337239181858568, 0.1253062038555566, -0.019186935594512358, -0.04388862593749101, -0.2599840881647887, 0.04790194698804875, -0.16252570340544975, -0.1611771281797117, -0.052687410535405814, 0.07802334182355324, 0.05868805106729269, -0.12186882301969569, 0.07018047617999894, 0.006953076453718506, 0.11710453047244637, -0.10414856945359964, -0.12872734744630662, 0.0045718479165692385, 0.09047989822625194, 0.1419807914385779, 0.018882183780617737, 0.10808752588985235, -0.1325129381823641, -0.13201908421426736, 0.37801118124920274, 0.0014989911176172303, -0.01820911562219722, 0.22973164175579577, -0.23885675314468918, -0.2639033009332639, 0.19272652513887964, 0.12534987134284076, 0.08079416617279711, -0.19413121806940548, 0.030547413608867008, 0.013617567430583783, 0.19308410741296816, 0.038930737930867404, 0.14932400490053827, 0.2807488404904251, 0.13700385791835962, -0.022722173348517605, 0.10390951732794444, -0.160313330978776, -0.005693640243721965, -0.27872611699556865, 0.0268752901573424, -0.14498581351097214, 0.07755738120532543, -0.011035471592122908, -0.09958503597967878, 0.3916911829182487, 0.12617459965968233, 0.15124286113329877, 0.015935012906858767, 0.29975130730940974, 0.09652278859981761, 0.06276685362221834, 0.09487660720737444, 0.3819268455022492, 0.06163562380386815, 0.1548584040288848, -0.16034677726889235, 0.11474571629990767, -0.056696328015446114] |
708.4307 | Vector Optimization by Two Objective Functions | Recently wide application in engineering-economic problems was received with
problems of vector optimization. Development of methods of the decision of
these problems it is executed in works A. Messac and others. Complexity of the
offered methods consists in construction of an aggregate objective function. In
the given work an algorithm of the solution of a vector optimization problem is
suggested carry out by use analytical representation of Pareto cone.
| math.OC | recently wide application in engineeringeconomic problems was received with problems of vector optimization development of methods of the decision of these problems it is executed in works a messac and others complexity of the offered methods consists in construction of an aggregate objective function in the given work an algorithm of the solution of a vector optimization problem is suggested carry out by use analytical representation of pareto cone | [['recently', 'wide', 'application', 'in', 'engineeringeconomic', 'problems', 'was', 'received', 'with', 'problems', 'of', 'vector', 'optimization', 'development', 'of', 'methods', 'of', 'the', 'decision', 'of', 'these', 'problems', 'it', 'is', 'executed', 'in', 'works', 'a', 'messac', 'and', 'others', 'complexity', 'of', 'the', 'offered', 'methods', 'consists', 'in', 'construction', 'of', 'an', 'aggregate', 'objective', 'function', 'in', 'the', 'given', 'work', 'an', 'algorithm', 'of', 'the', 'solution', 'of', 'a', 'vector', 'optimization', 'problem', 'is', 'suggested', 'carry', 'out', 'by', 'use', 'analytical', 'representation', 'of', 'pareto', 'cone']] | [-0.1082034299303013, -0.027823449178067134, -0.11437951264652743, 0.015391361312384702, -0.10429741654878677, -0.10711034296997893, 0.0515336141184862, 0.3799729402830352, -0.28670509757974477, -0.3132116537707955, 0.1104818146550722, -0.23165335789767663, -0.21234967681551492, 0.222125596213919, -0.09361103656632241, 0.139820674754012, 0.06619228731924251, 0.026514709920191497, -0.09068469304952827, -0.33728856924372214, 0.3098783421837516, 0.05893996516381627, 0.2810891160685847, 0.028119333651361624, 0.14433468479155773, 0.035526786771005216, -0.05983858566675613, 0.035203229622053564, -0.07991701949373889, 0.1653851614274613, 0.30605700445264133, 0.259006946806365, 0.3977586913909485, -0.3806095368770966, -0.21389754580415493, 0.08374680145018136, 0.1356771628775481, 0.05794179901035864, -0.037238045400981586, -0.23035242467590455, 0.06540675449824489, -0.13774968508922897, -0.11411143878975244, -0.040306063674723926, -0.007411383148004759, 0.024623883693520702, -0.2984525770185265, 0.00012316511693730284, 0.03526492539181638, 0.04560654846701159, -0.09361393351816753, -0.13513169335479389, 0.06434984141682733, 0.0818988658459996, 0.07836099679984931, 0.044868201946964795, 0.08388492230798548, -0.1555153416997906, -0.21654603930551614, 0.3757910731512664, 0.007328104408485676, -0.24334941923951925, 0.13850718237973972, -0.013145217025624727, -0.13177551530690781, 0.17964662685156313, 0.19849518765764895, 0.18619589485339264, -0.1412401103706502, 0.13369928409411475, -0.07406592957063843, 0.10769429453301119, 0.032611349806078334, -0.04363032953063054, 0.1609478050585725, 0.22974352114625388, 0.12403543451244929, 0.19187939219843986, -0.011128732378580678, -0.11710688881854069, -0.2455062059852392, -0.15206207228353621, -0.20956691179368922, -0.02475921078863095, -0.052141848138191234, -0.18082089919541308, 0.38288580998778343, 0.1306312668707166, 0.16252825769192691, 0.028544304610070174, 0.2999907130681312, 0.13170329890033203, 0.04895303959944355, 0.07538181636482477, 0.20672361772340625, 0.12968251848968662, 0.12141268860910144, -0.16486144498157412, 0.07671200420443358, 0.07490059807757611] |
708.4308 | Piecing Together the X-ray Background: Bolometric Corrections for Active
Galactic Nuclei | (Abridged) The X-ray background can be used to constrain the accretion
history of Supermassive Black Holes (SMBHs) in Active Galactic Nuclei (AGN). A
knowledge of the hard X-ray bolometric correction, \kappa_{2-10keV} is a vital
input into these studies. Variations in the disk emission in the UV have not
previously been taken into account in calculating \kappa_{2-10keV}; we show
that such variations are important by constructing optical--to--X-ray SEDs for
54 AGN. In particular, we use FUSE UV and X-ray data from the literature to
constrain the disk emission as well as possible. Previous work has suggested a
dependence of \kappa_{2-10keV} on AGN luminosity, but we find significant
spread in \kappa_{2-10keV} with no simple dependence on luminosity. Populations
such as Narrow-Line Seyfert 1 nuclei (NLS1s), Radio Loud and X-ray Weak AGN may
have values of \kappa_{2-10keV} differing systematically from the rest of the
AGN population. Other sources of uncertainty include intrinsic extinction in
the optical--UV, X-ray and UV variability and uncertainties in SMBH mass
estimates. Our results suggest a more well-defined relationship between
\kappa_{2-10keV} and Eddington ratio in AGN, with a transitional region at an
Eddington ratio of ~0.1, below which the bolometric correction is typically 15
- 25, and above which it is typically 40 - 70. We consider the potential
implied parallels with the low/hard and high/soft states in Galactic Black Hole
(GBH) accretion, and present bolometric corrections for the GBH binary GX 339-4
for comparison. Our findings reinforce previous studies proposing a multi-state
description of AGN accretion analogous to that for GBH binaries. Future
calculations of the SMBH mass density may need to account for the possible
dependence of \kappa_{2-10keV} on Eddington ratio.
| astro-ph | abridged the xray background can be used to constrain the accretion history of supermassive black holes smbhs in active galactic nuclei agn a knowledge of the hard xray bolometric correction kappa_210kev is a vital input into these studies variations in the disk emission in the uv have not previously been taken into account in calculating kappa_210kev we show that such variations are important by constructing opticaltoxray seds for 54 agn in particular we use fuse uv and xray data from the literature to constrain the disk emission as well as possible previous work has suggested a dependence of kappa_210kev on agn luminosity but we find significant spread in kappa_210kev with no simple dependence on luminosity populations such as narrowline seyfert 1 nuclei nls1s radio loud and xray weak agn may have values of kappa_210kev differing systematically from the rest of the agn population other sources of uncertainty include intrinsic extinction in the opticaluv xray and uv variability and uncertainties in smbh mass estimates our results suggest a more welldefined relationship between kappa_210kev and eddington ratio in agn with a transitional region at an eddington ratio of 01 below which the bolometric correction is typically 15 25 and above which it is typically 40 70 we consider the potential implied parallels with the lowhard and highsoft states in galactic black hole gbh accretion and present bolometric corrections for the gbh binary gx 3394 for comparison our findings reinforce previous studies proposing a multistate description of agn accretion analogous to that for gbh binaries future calculations of the smbh mass density may need to account for the possible dependence of kappa_210kev on eddington ratio | [['abridged', 'the', 'xray', 'background', 'can', 'be', 'used', 'to', 'constrain', 'the', 'accretion', 'history', 'of', 'supermassive', 'black', 'holes', 'smbhs', 'in', 'active', 'galactic', 'nuclei', 'agn', 'a', 'knowledge', 'of', 'the', 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708.4309 | Hinode EUV Imaging Spectrometer Observations of Solar Active Region
Dynamics | The EUV Imaging Spectrometer (EIS) on the Hinode satellite is capable of
measuring emission line center positions for Gaussian line profiles to a
fraction of a spectral pixel, resulting in relative solar Doppler-shift
measurements with an accuracy of less than a km/s for strong lines. We show an
example of the application of that capability to an active region sit-and-stare
observation in which the EIS slit is placed at one location on the Sun and many
exposures are taken while the spacecraft tracking keeps the same solar location
within the slit. For the active region examined (NOAA 10930), we find that
significant intensity and Doppler-shift fluctuations as a function of time are
present at a number of locations. These fluctuations appear to be similar to
those observed in high-temperature emission lines with other space-borne
spectroscopic instruments. With its increased sensitivity over earlier
spectrometers and its ability to image many emission lines simultaneously, EIS
should provide significant new constraints on Doppler-shift oscillations in the
corona.
| astro-ph | the euv imaging spectrometer eis on the hinode satellite is capable of measuring emission line center positions for gaussian line profiles to a fraction of a spectral pixel resulting in relative solar dopplershift measurements with an accuracy of less than a kms for strong lines we show an example of the application of that capability to an active region sitandstare observation in which the eis slit is placed at one location on the sun and many exposures are taken while the spacecraft tracking keeps the same solar location within the slit for the active region examined noaa 10930 we find that significant intensity and dopplershift fluctuations as a function of time are present at a number of locations these fluctuations appear to be similar to those observed in hightemperature emission lines with other spaceborne spectroscopic instruments with its increased sensitivity over earlier spectrometers and its ability to image many emission lines simultaneously eis should provide significant new constraints on dopplershift oscillations in the corona | [['the', 'euv', 'imaging', 'spectrometer', 'eis', 'on', 'the', 'hinode', 'satellite', 'is', 'capable', 'of', 'measuring', 'emission', 'line', 'center', 'positions', 'for', 'gaussian', 'line', 'profiles', 'to', 'a', 'fraction', 'of', 'a', 'spectral', 'pixel', 'resulting', 'in', 'relative', 'solar', 'dopplershift', 'measurements', 'with', 'an', 'accuracy', 'of', 'less', 'than', 'a', 'kms', 'for', 'strong', 'lines', 'we', 'show', 'an', 'example', 'of', 'the', 'application', 'of', 'that', 'capability', 'to', 'an', 'active', 'region', 'sitandstare', 'observation', 'in', 'which', 'the', 'eis', 'slit', 'is', 'placed', 'at', 'one', 'location', 'on', 'the', 'sun', 'and', 'many', 'exposures', 'are', 'taken', 'while', 'the', 'spacecraft', 'tracking', 'keeps', 'the', 'same', 'solar', 'location', 'within', 'the', 'slit', 'for', 'the', 'active', 'region', 'examined', 'noaa', '10930', 'we', 'find', 'that', 'significant', 'intensity', 'and', 'dopplershift', 'fluctuations', 'as', 'a', 'function', 'of', 'time', 'are', 'present', 'at', 'a', 'number', 'of', 'locations', 'these', 'fluctuations', 'appear', 'to', 'be', 'similar', 'to', 'those', 'observed', 'in', 'hightemperature', 'emission', 'lines', 'with', 'other', 'spaceborne', 'spectroscopic', 'instruments', 'with', 'its', 'increased', 'sensitivity', 'over', 'earlier', 'spectrometers', 'and', 'its', 'ability', 'to', 'image', 'many', 'emission', 'lines', 'simultaneously', 'eis', 'should', 'provide', 'significant', 'new', 'constraints', 'on', 'dopplershift', 'oscillations', 'in', 'the', 'corona']] | [-0.07635543551636724, 0.12877266091625023, -0.025356218604695353, 0.05463794095401948, -0.055375076785666597, -0.0911433430326103, 0.023312644607802035, 0.46936769410967827, -0.17931504727045938, -0.3613007391757536, 0.07880400377041774, -0.3232092997399954, -0.04222132382550981, 0.2541744038349063, -0.060493134733405896, 0.009782682081383495, 0.08358929434041606, -0.004767617896282989, -0.03598481591848767, -0.166083091842976, 0.22027330851770097, 0.15105812060760287, 0.2525185034695513, 0.0012468128126517802, 0.07779697206569836, -0.047863179303864696, -0.047255856930505394, 0.03880759801363527, -0.07571073760908159, 0.08851794070683465, 0.23613060473055555, 0.12380931016963498, 0.2232278053756667, -0.3999239443914919, -0.25224766037540464, 0.035536772367067454, 0.17117507609811317, -0.015384400756774106, -0.03999147246870008, -0.3203405946402288, 0.013800726999051688, -0.08336372176048959, -0.14188989847380293, 0.04250212274378211, 0.029154443054278268, 0.022919679781430537, -0.2570089740485589, 0.021267973153465767, -0.03258813233390733, 0.1271946677205539, -0.1021863941781836, -0.07258468082674392, -0.0341002922987838, 0.14681397637681717, 0.04064639153174784, 0.030331928095575875, 0.18285861395252584, -0.10955782529114313, -0.05280416879005071, 0.33620804375060265, -0.0770437145147298, -0.04186938667851614, 0.1781092269911158, -0.2573196814741894, -0.1414147683947415, 0.23978663060286015, 0.1399600577750811, 0.08818981746671631, -0.10520116791765137, -0.021664596248983134, -0.04393278018616867, 0.20252962203173921, 0.07965340360959355, 0.07078805088105317, 0.2565821769332127, 0.08432479752596786, 0.09047041252672831, 0.10452089360815746, -0.31992028552681073, -0.0532672265878163, -0.27220836748573474, -0.1352724512920448, -0.106061249644859, -0.011607522992474004, -0.07694691141313809, -0.1571308747033316, 0.3926212641995446, 0.16141942892047553, 0.24562967607251754, -0.017700303948580902, 0.33953105338860484, 0.09772144348386153, 0.09885531437310685, 0.04810288132781663, 0.3182428381348983, 0.12021922973898898, 0.174030697881812, -0.2232626310731398, 0.04503423884963878, 0.03487140932915414] |
708.431 | Z_2 actions on complexes with three non-trivial cells | In this paper, we study $Z_2$ actions on a cell complex X having the
cohomology ring isomorphic to that of the wedge sum $P^2 (n) V S^{3n}$ or $S^n
V S^{2n} V S^{3n}$. We determine the possible fixed point sets depending on
whether or not X is totally non-homologous to zero in $X_{Z_2}$ and give
examples realizing the possible cases.
| math.AT | in this paper we study z_2 actions on a cell complex x having the cohomology ring isomorphic to that of the wedge sum p2 n v s3n or sn v s2n v s3n we determine the possible fixed point sets depending on whether or not x is totally nonhomologous to zero in x_z_2 and give examples realizing the possible cases | [['in', 'this', 'paper', 'we', 'study', 'z_2', 'actions', 'on', 'a', 'cell', 'complex', 'x', 'having', 'the', 'cohomology', 'ring', 'isomorphic', 'to', 'that', 'of', 'the', 'wedge', 'sum', 'p2', 'n', 'v', 's3n', 'or', 'sn', 'v', 's2n', 'v', 's3n', 'we', 'determine', 'the', 'possible', 'fixed', 'point', 'sets', 'depending', 'on', 'whether', 'or', 'not', 'x', 'is', 'totally', 'nonhomologous', 'to', 'zero', 'in', 'x_z_2', 'and', 'give', 'examples', 'realizing', 'the', 'possible', 'cases']] | [-0.20618303172227184, 0.0800955385064422, -0.016842698236390695, 0.004907579679176275, -0.08158063966291562, -0.2127528101071652, 0.08869896916933041, 0.409573313543352, -0.30029107408471784, -0.14573112596615645, 0.09897072336604913, -0.29114682467307074, -0.12707931897602975, 0.11615912816724029, -0.09897119832872334, -0.11820308804133181, 0.0014220493829856485, 0.1312439682404116, -0.09934155417061648, -0.3414044170561483, 0.3561939718043905, -0.09176568424928996, 0.17732266589636142, 0.042192095756467624, 0.09543500722867389, -0.013875627243038962, 0.013224644740348903, -0.013952869734258471, -0.21770604326198828, 0.04115431593194351, 0.23767100097769397, 0.0879323797831233, 0.145919397917292, -0.3683442286042086, -0.13235435504624146, 0.26664349739834414, 0.14589952896112354, -0.03358836107003361, 0.00343464464501683, -0.22046087327081773, 0.13706756649160032, -0.13675115800510018, -0.17005913325001376, -0.04606152812050561, 0.13217982611918855, -0.006989483015169784, -0.2563119184904558, -0.013975718469059064, 0.07590465861672567, 0.09274664876777362, -0.02628613158792131, -0.11707820103038102, -0.08923440169290466, 0.07229454327627259, -0.0020587551131276255, 0.07720197238012265, 0.07484504627853127, -0.05712432953750052, -0.09117153949120034, 0.42925150817165436, -0.03302914327231504, -0.20952995171991445, 0.17456516096273722, -0.19855353007314064, -0.11583831022351475, 0.12966665285402687, 0.09729167688795823, 0.1682491842578402, -0.01992251485649307, 0.18788850182663427, -0.10311531853246486, 0.09870140071636681, 0.10196158746099573, -0.009102571274201244, 0.1656680756516881, 0.08152868303517669, 0.11729674934660148, 0.08327925653528359, -0.06453850179500246, 0.025101062413541823, -0.3899913932812416, -0.16262915808612766, -0.1552238892763853, 0.21521126892110845, -0.06794659566835666, -0.1737820789596792, 0.36735734416140337, 0.068544508826177, 0.23520691799970692, 0.008341966954580808, 0.21618132069075513, 0.039890800697444856, 0.006063826311127109, 0.035152464276337524, 0.08175742882303894, 0.14905368042636222, -0.02031383762072961, -0.1512851074290604, -0.024175972369957274, 0.12103162686956132] |
708.4311 | 2006: Celebrating 75 years of AI - History and Outlook: the Next 25
Years | When Kurt Goedel layed the foundations of theoretical computer science in
1931, he also introduced essential concepts of the theory of Artificial
Intelligence (AI). Although much of subsequent AI research has focused on
heuristics, which still play a major role in many practical AI applications, in
the new millennium AI theory has finally become a full-fledged formal science,
with important optimality results for embodied agents living in unknown
environments, obtained through a combination of theory a la Goedel and
probability theory. Here we look back at important milestones of AI history,
mention essential recent results, and speculate about what we may expect from
the next 25 years, emphasizing the significance of the ongoing dramatic
hardware speedups, and discussing Goedel-inspired, self-referential,
self-improving universal problem solvers.
| cs.AI | when kurt goedel layed the foundations of theoretical computer science in 1931 he also introduced essential concepts of the theory of artificial intelligence ai although much of subsequent ai research has focused on heuristics which still play a major role in many practical ai applications in the new millennium ai theory has finally become a fullfledged formal science with important optimality results for embodied agents living in unknown environments obtained through a combination of theory a la goedel and probability theory here we look back at important milestones of ai history mention essential recent results and speculate about what we may expect from the next 25 years emphasizing the significance of the ongoing dramatic hardware speedups and discussing goedelinspired selfreferential selfimproving universal problem solvers | [['when', 'kurt', 'goedel', 'layed', 'the', 'foundations', 'of', 'theoretical', 'computer', 'science', 'in', '1931', 'he', 'also', 'introduced', 'essential', 'concepts', 'of', 'the', 'theory', 'of', 'artificial', 'intelligence', 'ai', 'although', 'much', 'of', 'subsequent', 'ai', 'research', 'has', 'focused', 'on', 'heuristics', 'which', 'still', 'play', 'a', 'major', 'role', 'in', 'many', 'practical', 'ai', 'applications', 'in', 'the', 'new', 'millennium', 'ai', 'theory', 'has', 'finally', 'become', 'a', 'fullfledged', 'formal', 'science', 'with', 'important', 'optimality', 'results', 'for', 'embodied', 'agents', 'living', 'in', 'unknown', 'environments', 'obtained', 'through', 'a', 'combination', 'of', 'theory', 'a', 'la', 'goedel', 'and', 'probability', 'theory', 'here', 'we', 'look', 'back', 'at', 'important', 'milestones', 'of', 'ai', 'history', 'mention', 'essential', 'recent', 'results', 'and', 'speculate', 'about', 'what', 'we', 'may', 'expect', 'from', 'the', 'next', '25', 'years', 'emphasizing', 'the', 'significance', 'of', 'the', 'ongoing', 'dramatic', 'hardware', 'speedups', 'and', 'discussing', 'goedelinspired', 'selfreferential', 'selfimproving', 'universal', 'problem', 'solvers']] | [-0.06920116641643889, 0.06377210437388318, -0.12000914440656883, 0.096960183558607, -0.10308047679131775, -0.14296117667260208, 0.034860076651552586, 0.3217511200251406, -0.24399203654166643, -0.3326784851733686, 0.10210269988075323, -0.2471000567926624, -0.24846440759426877, 0.23849079536834383, -0.1114909979533707, 0.05484220271975529, 0.075664858625278, 0.043235027693151455, -0.0329478270472671, -0.30190830916257166, 0.2595889332015219, 0.08426661418591876, 0.2660312773167663, 0.06965384004652743, 0.07375088135988217, 0.001528185445387522, -0.07146937284444467, -0.01116920596109779, -0.1377312559918387, 0.16314173632867376, 0.3560698488992222, 0.23513232982089002, 0.4325179582446571, -0.4972196042658837, -0.18759635054388998, 0.05043843342369892, 0.1550700542388287, 0.10351803759396894, -0.10029107102900894, -0.29915605889769586, 0.020425708521520945, -0.17261254602647577, -0.13426899039602982, -0.051817133448207826, 0.09407018164430207, -0.03749433607837882, -0.12832879546908585, -0.016825054164803625, 0.08515599384767616, 0.1347870113975482, -0.01580226241149069, -0.18541303374501686, 0.055139027451679895, 0.14219849765403916, 0.06098333790868036, 0.06936388572193379, 0.13585167184540228, -0.19231758967450843, -0.1949963580657978, 0.37941082068756826, 0.01428140713066635, -0.06671986195856963, 0.18878612263749042, -0.08345902805515694, -0.24835219585934912, 0.01432806545701938, 0.1782576186805812, 0.0570033838730154, -0.0963169097768122, 0.13157180678790314, -0.004068477136060232, 0.14140017522021947, 0.05565962462205198, 0.03256041834857769, 0.2709105194553854, 0.20573083183357144, 0.010704640828629547, 0.038160299988296946, 0.025601968875276, -0.18681049441191844, -0.245711651759419, -0.1639782451623218, -0.10260056330239385, 0.09582682090978956, -0.04214323613742022, -0.10789222366411269, 0.32654387506891075, 0.22424057180940257, 0.0902526522816227, -0.02506834321098811, 0.28209596325840225, 0.06222768701098072, 0.051497536756825155, 0.024208123235380262, 0.2502736154436399, 0.11784374823687764, 0.16596463979865478, -0.1233571269644076, 0.07295049015504528, 0.025893034674681542] |
708.4312 | Qubit Entanglement Driven by Remote Optical Fields | We examine the entanglement between two qubits, supposed to be remotely
located and driven by independent quantized optical fields. No interaction is
allowed between the qubits, but their degree of entanglement changes as a
function of time. We report a collapse and revival of entanglement that is
similar to the collapse and revival of single-atom properties in cavity QED.
| quant-ph | we examine the entanglement between two qubits supposed to be remotely located and driven by independent quantized optical fields no interaction is allowed between the qubits but their degree of entanglement changes as a function of time we report a collapse and revival of entanglement that is similar to the collapse and revival of singleatom properties in cavity qed | [['we', 'examine', 'the', 'entanglement', 'between', 'two', 'qubits', 'supposed', 'to', 'be', 'remotely', 'located', 'and', 'driven', 'by', 'independent', 'quantized', 'optical', 'fields', 'no', 'interaction', 'is', 'allowed', 'between', 'the', 'qubits', 'but', 'their', 'degree', 'of', 'entanglement', 'changes', 'as', 'a', 'function', 'of', 'time', 'we', 'report', 'a', 'collapse', 'and', 'revival', 'of', 'entanglement', 'that', 'is', 'similar', 'to', 'the', 'collapse', 'and', 'revival', 'of', 'singleatom', 'properties', 'in', 'cavity', 'qed']] | [-0.19597596025994143, 0.25010583691804084, -0.04210295427937882, 0.037048243747834685, 0.01514037152341867, -0.1786567490484755, 0.05572178483727562, 0.3863152669647993, -0.2062453031539917, -0.27829286061874514, 0.03903167419159248, -0.2588048201622599, -0.10925974460097693, 0.17785346084984682, 0.015493351824076499, 0.038733095814615995, 0.03179222672992244, 0.02789388619110746, -0.06894082147864845, -0.21274503749021786, 0.3200724808009878, 0.04454774312059379, 0.25878707354225344, 0.07743055780686564, 0.09803472146770711, -0.045311941927046344, 0.039631847892019706, -0.012676761469851106, -0.09417408242709718, 0.05690833309705278, 0.20449256814988645, 0.11778139595770558, 0.26107621224502386, -0.48384055975130047, -0.1693689899313879, 0.13929254466951904, 0.13931477402920944, 0.18189338623088294, -0.023121491603363874, -0.3187694542299388, -0.05250251735165968, -0.15186530315949606, -0.10722131960851661, -0.02345406389953095, 0.07712287893834507, 0.006959280109632824, -0.22528798207324946, 0.10331430376144284, 0.02607048262834107, 0.05068056212769727, 0.011183082564118303, 0.06667192758581901, -0.021097317858899043, 0.1381480972345729, -0.026332318538136907, 0.02969055913262448, 0.15466090801598156, -0.1312574242888871, -0.1426024515560623, 0.34804934607345167, -0.05237060797132426, -0.13877367228269577, 0.223350445013809, -0.19384809572375933, -0.029985086992383003, 0.06622510195820261, 0.12475035049147525, 0.08001727522429773, -0.11593742858050234, 0.007402057993281001, 0.016007379092023533, 0.22736633224886352, 0.098152256270839, 0.16479188910788084, 0.24663146294779698, 0.10162047434487712, 0.03062119089625381, 0.23877437392810075, -0.06639715249381833, -0.12194617703493874, -0.3126444010284998, -0.17770004686031302, -0.2647113563587605, 0.11321018998495351, -0.07032324758805217, -0.14211805294252047, 0.4219814416778795, 0.1539509001116947, 0.18569067798104036, -0.041492308868821395, 0.25056861129478886, 0.11796794796038924, 0.0986799014834845, 0.06378449993681605, 0.31907700892474694, 0.1900639608739165, 0.07541920945553457, -0.31087475780681784, 0.04848622066616002, -0.014908142861420825] |
708.4313 | Hopping transport of interacting carriers in disordered organic
materials | Computer simulation of the hopping charge transport in disordered organic
materials has been carried out explicitly taking into account charge-charge
interactions. This approach provides a possibility to take into account dynamic
correlations that are neglected by more traditional approaches like mean field
theory. It was found that the effect of interaction is no less significant than
the usually considered effect of filling of deep states by non-interacting
carriers. It was found too that carrier mobility generally increases with the
increase of carrier density, but the effect of interaction is opposite for two
models of disordered organic materials: for the non-correlated random
distribution of energies with Gaussian DOS mobility decreases with the increase
of the interaction strength, while for the model with long range correlated
disorder mobility increases with the increase of interaction strength.
| cond-mat.dis-nn cond-mat.mtrl-sci | computer simulation of the hopping charge transport in disordered organic materials has been carried out explicitly taking into account chargecharge interactions this approach provides a possibility to take into account dynamic correlations that are neglected by more traditional approaches like mean field theory it was found that the effect of interaction is no less significant than the usually considered effect of filling of deep states by noninteracting carriers it was found too that carrier mobility generally increases with the increase of carrier density but the effect of interaction is opposite for two models of disordered organic materials for the noncorrelated random distribution of energies with gaussian dos mobility decreases with the increase of the interaction strength while for the model with long range correlated disorder mobility increases with the increase of interaction strength | [['computer', 'simulation', 'of', 'the', 'hopping', 'charge', 'transport', 'in', 'disordered', 'organic', 'materials', 'has', 'been', 'carried', 'out', 'explicitly', 'taking', 'into', 'account', 'chargecharge', 'interactions', 'this', 'approach', 'provides', 'a', 'possibility', 'to', 'take', 'into', 'account', 'dynamic', 'correlations', 'that', 'are', 'neglected', 'by', 'more', 'traditional', 'approaches', 'like', 'mean', 'field', 'theory', 'it', 'was', 'found', 'that', 'the', 'effect', 'of', 'interaction', 'is', 'no', 'less', 'significant', 'than', 'the', 'usually', 'considered', 'effect', 'of', 'filling', 'of', 'deep', 'states', 'by', 'noninteracting', 'carriers', 'it', 'was', 'found', 'too', 'that', 'carrier', 'mobility', 'generally', 'increases', 'with', 'the', 'increase', 'of', 'carrier', 'density', 'but', 'the', 'effect', 'of', 'interaction', 'is', 'opposite', 'for', 'two', 'models', 'of', 'disordered', 'organic', 'materials', 'for', 'the', 'noncorrelated', 'random', 'distribution', 'of', 'energies', 'with', 'gaussian', 'dos', 'mobility', 'decreases', 'with', 'the', 'increase', 'of', 'the', 'interaction', 'strength', 'while', 'for', 'the', 'model', 'with', 'long', 'range', 'correlated', 'disorder', 'mobility', 'increases', 'with', 'the', 'increase', 'of', 'interaction', 'strength']] | [-0.15059432277851564, 0.2207822732319285, -0.052830899759682415, 0.06482060507195476, 0.01191582591658024, -0.17531996134570554, 0.028174819509652827, 0.3829133940118372, -0.21830748968680663, -0.3339638130221152, -0.015526969382308312, -0.33396835954110593, -0.1406339908620917, 0.14387347786407217, 0.05662821054710705, -0.01382246520370245, 0.009855564150616135, -0.009951043369850717, -0.06037525769281096, -0.22739553705025883, 0.2715511580691078, 0.0789453752994926, 0.33545682468640625, 0.11931979975442548, 0.03414537114112225, 0.05506419828179103, 0.02855734752239029, 0.08263143592801198, -0.058479082566645274, 0.059385302561051664, 0.21860875541124256, -0.05766905944871443, 0.2953156648532845, -0.4576733375626399, -0.3212466715954076, 0.06426587105287533, 0.1784645916659497, 0.12404199285061568, -0.05838872899996778, -0.2710168778868322, 0.03791050839805065, -0.21894705739166392, -0.10813928713769953, -0.041527024687344864, 0.0728413821136775, 0.028944060766169646, -0.2424093734655053, 0.13938836324032172, 0.03370725723067509, 0.05101856719562434, -0.08371138283142582, -0.15711280629669028, -0.054231415117593634, 0.1377032402958861, 0.09014393513430526, 0.02233964787915181, 0.17166742001120983, -0.15378220237728515, -0.054083675386373625, 0.38158716129741277, -0.04341967793103199, -0.17414461002734147, 0.18701127849526256, -0.1482445101001601, -0.05313503251566825, 0.22147022874647737, 0.13647243966649575, 0.04564650337337831, -0.132732366386773, 0.06264867285648151, 0.008576147560261302, 0.1764549221283287, -0.01851757075392494, 0.0764655011480226, 0.2110008369585065, 0.2099298047938181, 0.041068629475478506, 0.12941309647928728, -0.10383742662755899, -0.13265330752679952, -0.17088308411517314, -0.12931444000844894, -0.2139516444911802, 0.049959128894107904, -0.06857287091434114, -0.15861569121620037, 0.3753998050452175, 0.2152188026969482, 0.1679059922401058, 0.015187684022926522, 0.2654835546767353, 0.1479222380680459, 0.1239237032368555, 0.01658231050084184, 0.26424529874361213, 0.12274411734179559, 0.09822525292866044, -0.23745466085830072, 0.13603455630740277, -0.03432704940879423] |
708.4314 | Vector meson electroproduction within GPD approach | We analyze electroproduction of light vector meson at small Bjorken $x$
within the generalized parton distribution (GPD) approach. Calculation is based
on the modified perturbative approach, where the quark transverse degrees of
freedom in the hard subprocess are considered. Our results on the cross section
are in fair agreement with experiment from HERMES to HERA energies.
| hep-ph | we analyze electroproduction of light vector meson at small bjorken x within the generalized parton distribution gpd approach calculation is based on the modified perturbative approach where the quark transverse degrees of freedom in the hard subprocess are considered our results on the cross section are in fair agreement with experiment from hermes to hera energies | [['we', 'analyze', 'electroproduction', 'of', 'light', 'vector', 'meson', 'at', 'small', 'bjorken', 'x', 'within', 'the', 'generalized', 'parton', 'distribution', 'gpd', 'approach', 'calculation', 'is', 'based', 'on', 'the', 'modified', 'perturbative', 'approach', 'where', 'the', 'quark', 'transverse', 'degrees', 'of', 'freedom', 'in', 'the', 'hard', 'subprocess', 'are', 'considered', 'our', 'results', 'on', 'the', 'cross', 'section', 'are', 'in', 'fair', 'agreement', 'with', 'experiment', 'from', 'hermes', 'to', 'hera', 'energies']] | [-0.029513715824577957, 0.2023586009745486, -0.17285748091360023, 0.12982431574865977, -0.04958723085500034, -0.06241564598790968, 0.024009242799365893, 0.4009831607275243, -0.14788132146765878, -0.1759343636887414, -0.11487187208591162, -0.3482184991340286, 0.029600703473468975, 0.12964293949439057, 0.0711105987388042, 0.12011422502941319, 0.1022277886347313, -0.0032079220483345644, -0.017786076558487757, -0.24989933636970818, 0.35320235319834736, 0.05763803050545643, 0.2766509907752542, 0.18974688040491725, 0.11369378601167617, 0.12692392782524362, -0.05466901710523026, -0.05401920952967235, -0.10775892220304481, 0.0775418161813702, 0.3001402000944446, 0.04001556380951245, 0.08690603626226741, -0.3539509003416502, -0.09030182898693186, 0.01057960873004049, 0.08727330128645658, 0.07313689732524965, 0.030187906892803897, -0.2500111267269988, 0.0689074564558853, -0.2425514696598319, -0.17695638522439236, -0.12833311901028668, -0.06239289003549077, 0.012229056197351642, -0.3222515666691054, 0.07912545241249193, -0.12997848981259658, -0.0056676702474110895, -0.00012312706426850388, -0.2816426998968901, -0.007583282114605286, -0.04620821250136942, 0.10983561592625588, 0.16180387624107034, 0.15037079751657853, -0.17725117823907308, -0.13114719142322429, 0.39565487432160545, -0.009563864574634604, -0.22552531537283876, 0.05129588754165785, -0.2571654184555103, -0.15566984848867702, 0.1604382793552109, 0.25821894588131855, 0.11731463548078734, -0.20020516215091838, 0.1187824996387852, -0.06475842606908243, 0.1663708070160023, 0.10567440187774732, 0.04717327050548192, 0.1501705452600228, 0.21502408468430595, -0.09658229830009597, 0.047137131985177154, -0.12742796405031445, -0.20395679560689522, -0.45563867768006666, -0.028600630566610823, -0.13459224364487454, 0.0774327021125438, -0.10887898564604777, -0.05340307348939989, 0.3424827378309731, 0.09504906091232053, 0.2770518104080111, 0.014249261801264115, 0.3764791637659073, 0.09122550355511651, 0.05165286066143641, 0.08268341103601935, 0.2939513258835567, 0.18524366648801202, 0.15803481245945608, -0.20859047000495984, 0.013814541477976101, 0.07136049592268787] |
708.4315 | Brittle fracture down to femto-Joules - and below | We analyze large sets of energy-release data created by stress-induced
brittle fracture in a pure sapphire crystal at close to zero temperature where
stochastic fluctuations are minimal. The waiting-time distribution follows that
observed for fracture in rock and for earthquakes. Despite strong time
correlations of the events and the presence of large-event precursors, simple
prediction algorithms only succeed in a very weak probabilistic sense. We also
discuss prospects for further cryogenic experiments reaching close to
single-bond sensitivity and able to investigate the existence of a
transition-stress regime.
| cond-mat.mtrl-sci | we analyze large sets of energyrelease data created by stressinduced brittle fracture in a pure sapphire crystal at close to zero temperature where stochastic fluctuations are minimal the waitingtime distribution follows that observed for fracture in rock and for earthquakes despite strong time correlations of the events and the presence of largeevent precursors simple prediction algorithms only succeed in a very weak probabilistic sense we also discuss prospects for further cryogenic experiments reaching close to singlebond sensitivity and able to investigate the existence of a transitionstress regime | [['we', 'analyze', 'large', 'sets', 'of', 'energyrelease', 'data', 'created', 'by', 'stressinduced', 'brittle', 'fracture', 'in', 'a', 'pure', 'sapphire', 'crystal', 'at', 'close', 'to', 'zero', 'temperature', 'where', 'stochastic', 'fluctuations', 'are', 'minimal', 'the', 'waitingtime', 'distribution', 'follows', 'that', 'observed', 'for', 'fracture', 'in', 'rock', 'and', 'for', 'earthquakes', 'despite', 'strong', 'time', 'correlations', 'of', 'the', 'events', 'and', 'the', 'presence', 'of', 'largeevent', 'precursors', 'simple', 'prediction', 'algorithms', 'only', 'succeed', 'in', 'a', 'very', 'weak', 'probabilistic', 'sense', 'we', 'also', 'discuss', 'prospects', 'for', 'further', 'cryogenic', 'experiments', 'reaching', 'close', 'to', 'singlebond', 'sensitivity', 'and', 'able', 'to', 'investigate', 'the', 'existence', 'of', 'a', 'transitionstress', 'regime']] | [-0.08495210064575076, 0.18186471242567195, -0.04443655525443747, 0.10065778584274299, -0.01163162646596046, -0.12262219205389129, 0.08148881523486445, 0.36608540254151994, -0.24552616785992595, -0.27197067866320995, 0.08534587990656933, -0.2796563047586995, -0.11986331807120758, 0.18238991310491282, -0.031024599352659766, 0.06911291158484185, 0.06519607798990738, -0.005924112722277641, -0.060594135190031546, -0.18722870585042983, 0.2539533706409309, 0.09603208956473014, 0.3291229532483746, 0.0701102862463278, 0.10181844511535018, -0.038976799280327906, 0.03722291182836189, 0.04805730424054405, -0.1575857540624223, 0.013585648324121447, 0.275268530889469, 0.040761748361675176, 0.2516585334258921, -0.467192147770787, -0.19306461763951707, 0.1276064821135472, 0.07714739742599812, 0.1017587128752733, -0.05360519930734025, -0.27340877471382125, 0.11196387770092663, -0.10734442791572826, -0.16109236447031008, -0.08914797397481058, 0.03651152027442175, 0.03860834002056542, -0.26538320462602905, 0.10241965988397543, 0.07296494719955851, 0.07373307638746851, -0.03488997559042593, -0.06096361832528868, 0.0011004813398946733, 0.0723421144490952, 0.06487202951136757, -0.03002653133452815, 0.14344909542842824, -0.14990936285432646, -0.09195788392714938, 0.3761594709885471, -0.10476936876006862, -0.08786975353517953, 0.22839672472875786, -0.18998225234202384, -0.1329234323299983, 0.1487842539092526, 0.21198613139567896, 0.06867243931902682, -0.14300369144252995, 0.012441054137889295, 0.011870063742732301, 0.14393092281431616, 0.08862686403479209, 0.0035486847764867194, 0.20875395717208875, 0.21854717987863456, 0.02189369225217139, 0.16044627353549004, -0.1426202324733073, -0.07282978033044321, -0.29575218137572795, -0.12219997687635067, -0.1835025709204595, 0.025918292477453017, -0.10447121326048064, -0.1777661475709037, 0.3590646237956689, 0.17375593604519962, 0.19517331443288746, 0.08881841022795176, 0.204964215549476, 0.052235236177768776, 0.026761884483344416, 0.05026592738816843, 0.2838812545551371, 0.12219883727512378, 0.11314620174029294, -0.20793440284426598, 0.13248051734750763, -0.03352267688468975] |
708.4316 | High energy QCD beyond the mean field approximation | It has been recently understood how to deal with high-energy scattering
beyond the mean field approximation. We review some of the main steps of this
theoretical progress, like the role of Lorentz invariance and unitarity
requirements, the importance of discreteness and fluctuations of gluon numbers
(Pomeron loops), the high-energy QCD/statistical physics correspondence and the
consequences for the saturation scale, the scattering amplitude and other, also
measurable, quantities.
| hep-ph | it has been recently understood how to deal with highenergy scattering beyond the mean field approximation we review some of the main steps of this theoretical progress like the role of lorentz invariance and unitarity requirements the importance of discreteness and fluctuations of gluon numbers pomeron loops the highenergy qcdstatistical physics correspondence and the consequences for the saturation scale the scattering amplitude and other also measurable quantities | [['it', 'has', 'been', 'recently', 'understood', 'how', 'to', 'deal', 'with', 'highenergy', 'scattering', 'beyond', 'the', 'mean', 'field', 'approximation', 'we', 'review', 'some', 'of', 'the', 'main', 'steps', 'of', 'this', 'theoretical', 'progress', 'like', 'the', 'role', 'of', 'lorentz', 'invariance', 'and', 'unitarity', 'requirements', 'the', 'importance', 'of', 'discreteness', 'and', 'fluctuations', 'of', 'gluon', 'numbers', 'pomeron', 'loops', 'the', 'highenergy', 'qcdstatistical', 'physics', 'correspondence', 'and', 'the', 'consequences', 'for', 'the', 'saturation', 'scale', 'the', 'scattering', 'amplitude', 'and', 'other', 'also', 'measurable', 'quantities']] | [-0.0965201502778765, 0.21601568484170872, -0.1434417421449766, 0.17412675679202727, -0.09070912294202682, -0.04977401563629621, 0.0017934899325623658, 0.32804780334911565, -0.26924124519538245, -0.27648809782201145, 0.08036029079900772, -0.26698632775382564, -0.12854931862128785, 0.15152256788287283, 0.005476368393636111, 0.10561723523124149, 0.01314544904215092, 0.021376432879178814, -0.03797309922414239, -0.21301258434400414, 0.3331914988318176, 0.10481058905663138, 0.27610845894863206, 0.17257396781386694, 0.06865837270831407, 0.05082025509468759, -0.041986050394674145, 0.019278722816979454, -0.1364653201096437, 0.11216656206119241, 0.2052277648313479, 0.07926811909684064, 0.21833795647332657, -0.45411845132934325, -0.2287294805388559, 0.06631898316272507, 0.13511197912422093, 0.0942176347457324, -0.050344561113778385, -0.23939323350504943, -0.014935172473390898, -0.15238318017994365, -0.21069316794587808, -0.1030387447399059, 0.043660676574235724, -0.005650432526387952, -0.19717356441965836, 0.06770138803359728, 0.07292872399910155, 0.042395765505110226, 0.013411300898896474, -0.13380427323422875, 0.023138396583045975, 0.13271337684780132, 0.16711979536392557, 0.04077877877562335, 0.13128793553562101, -0.2328119255905745, -0.13696373601190068, 0.385270883244547, -0.0052532155179616175, -0.13206885073856084, 0.1586603161554332, -0.22825895589917447, -0.21372369678239478, 0.1278790803273406, 0.14251358290626245, 0.047805072870246615, -0.13236696563421213, 0.17121170366987248, 0.0034683358601548457, 0.10425045713076764, 0.09729763849948843, 0.12719271384941583, 0.19504442331240032, 0.1584732017451615, -0.023274187323157534, 0.06296706700672847, -0.09238196047601488, -0.10949769551216652, -0.4056486159873505, -0.08865150583512856, -0.1309909157835963, 0.05539581828722448, -0.0687518678102854, -0.12152248853817582, 0.36658576644505514, 0.18637592246699514, 0.18504637891469014, 0.014666740394507846, 0.3084561948974927, 0.1385667557602353, 0.0742047553261121, 0.013524188039203485, 0.29557299028216, 0.22639146905081967, 0.13725653595545076, -0.26755472544975806, 0.025373669757479518, 0.0675425770212755] |
708.4317 | Bifurcation in electrostatic resistive drift wave turbulence | The Hasegawa-Wakatani equations, coupling plasma density and electrostatic
potential through an approximation to the physics of parallel electron motions,
are a simple model that describes resistive drift wave turbulence. We present
numerical analyses of bifurcation phenomena in the model that provide new
insights into the interactions between turbulence and zonal flows in the
tokamak plasma edge region. The simulation results show a regime where, after
an initial transient, drift wave turbulence is suppressed through zonal flow
generation. As a parameter controlling the strength of the turbulence is tuned,
this zonal flow dominated state is rapidly destroyed and a turbulence-dominated
state re-emerges. The transition is explained in terms of the Kelvin-Helmholtz
stability of zonal flows. This is the first observation of an upshift of
turbulence onset in the resistive drift wave system, which is analogous to the
well-known Dimits shift in turbulence driven by ion temperature gradients.
| physics.plasm-ph | the hasegawawakatani equations coupling plasma density and electrostatic potential through an approximation to the physics of parallel electron motions are a simple model that describes resistive drift wave turbulence we present numerical analyses of bifurcation phenomena in the model that provide new insights into the interactions between turbulence and zonal flows in the tokamak plasma edge region the simulation results show a regime where after an initial transient drift wave turbulence is suppressed through zonal flow generation as a parameter controlling the strength of the turbulence is tuned this zonal flow dominated state is rapidly destroyed and a turbulencedominated state reemerges the transition is explained in terms of the kelvinhelmholtz stability of zonal flows this is the first observation of an upshift of turbulence onset in the resistive drift wave system which is analogous to the wellknown dimits shift in turbulence driven by ion temperature gradients | [['the', 'hasegawawakatani', 'equations', 'coupling', 'plasma', 'density', 'and', 'electrostatic', 'potential', 'through', 'an', 'approximation', 'to', 'the', 'physics', 'of', 'parallel', 'electron', 'motions', 'are', 'a', 'simple', 'model', 'that', 'describes', 'resistive', 'drift', 'wave', 'turbulence', 'we', 'present', 'numerical', 'analyses', 'of', 'bifurcation', 'phenomena', 'in', 'the', 'model', 'that', 'provide', 'new', 'insights', 'into', 'the', 'interactions', 'between', 'turbulence', 'and', 'zonal', 'flows', 'in', 'the', 'tokamak', 'plasma', 'edge', 'region', 'the', 'simulation', 'results', 'show', 'a', 'regime', 'where', 'after', 'an', 'initial', 'transient', 'drift', 'wave', 'turbulence', 'is', 'suppressed', 'through', 'zonal', 'flow', 'generation', 'as', 'a', 'parameter', 'controlling', 'the', 'strength', 'of', 'the', 'turbulence', 'is', 'tuned', 'this', 'zonal', 'flow', 'dominated', 'state', 'is', 'rapidly', 'destroyed', 'and', 'a', 'turbulencedominated', 'state', 'reemerges', 'the', 'transition', 'is', 'explained', 'in', 'terms', 'of', 'the', 'kelvinhelmholtz', 'stability', 'of', 'zonal', 'flows', 'this', 'is', 'the', 'first', 'observation', 'of', 'an', 'upshift', 'of', 'turbulence', 'onset', 'in', 'the', 'resistive', 'drift', 'wave', 'system', 'which', 'is', 'analogous', 'to', 'the', 'wellknown', 'dimits', 'shift', 'in', 'turbulence', 'driven', 'by', 'ion', 'temperature', 'gradients']] | [-0.20565488131729606, 0.2439673107195357, -0.07476695387963882, 0.05243175580367216, -0.02063754717309079, -0.07254761049830138, -0.04541317344649554, 0.2827314010004781, -0.312377830323036, -0.21974982451551836, 0.06724970462677796, -0.22532711166582287, -0.11419002234310627, 0.20285529605980504, 0.04339398519907064, 0.03967795869628962, 0.036484480172089516, -0.06455443411318375, 0.007574714602239124, -0.10804567487642475, 0.30174903252260915, 0.12119166507012505, 0.2773805294434655, 0.04991342247246879, 0.06621136608826991, -0.11111406448188761, 0.006717950995526698, 0.048187643493691534, -0.16710123194057466, -0.008754201705427202, 0.18210814819888096, 0.009699980564070993, 0.29253997403987975, -0.47006112703262537, -0.28413272107479304, -0.013676119102356471, 0.19300518400188893, 0.12391295596041832, -0.07339292736377165, -0.27153314141658685, 0.004314216957363772, -0.18097859845745493, -0.1424483193358891, -0.04933335009662511, 0.020322443726026033, 0.053813523370517445, -0.33732377294505217, 0.1541464667231457, 0.09488253970630467, 0.06947611729703741, -0.08877265936541945, -0.02032273053430812, -0.06457737018035291, 0.06557491559484234, 0.06902835241356252, 0.06097154861813641, 0.1728848283851283, -0.1889126392955292, -0.06538786861267298, 0.3610478629587754, -0.08989928339844033, -0.18026422203218642, 0.19176313336555884, -0.20027382794627283, -0.02962918844303652, 0.21033470930965387, 0.1909033870196914, 0.04494175885178863, -0.09193292418367242, 0.011534476367683366, -0.03852364388089197, 0.1291734457287544, 0.04978826188495102, -0.049853297479909985, 0.23070372825437416, 0.2233254448223655, 0.06872115702023857, 0.1314291608798332, -0.12028861459032059, -0.108032773883554, -0.3100776003748625, -0.11399827198618194, -0.1506572828679154, 0.008057908663045366, -0.05333391862591706, -0.1902744910163065, 0.4118914595192732, 0.16262736133449673, 0.14563924756079707, -0.05365268713140809, 0.32646440822082534, 0.17438172797069643, 0.0014923006257884306, 0.1455681612029391, 0.30637097784815587, 0.20722770694904794, 0.17504498749382935, -0.28143322294297285, 0.07617018796736374, 0.08897916902309565] |
708.4318 | Coupling hidden Markov models for the discovery of Cis-regulatory
modules in multiple species | Cis-regulatory modules (CRMs) composed of multiple transcription factor
binding sites (TFBSs) control gene expression in eukaryotic genomes.
Comparative genomic studies have shown that these regulatory elements are more
conserved across species due to evolutionary constraints. We propose a
statistical method to combine module structure and cross-species orthology in
de novo motif discovery. We use a hidden Markov model (HMM) to capture the
module structure in each species and couple these HMMs through multiple-species
alignment. Evolutionary models are incorporated to consider correlated
structures among aligned sequence positions across different species. Based on
our model, we develop a Markov chain Monte Carlo approach, MultiModule, to
discover CRMs and their component motifs simultaneously in groups of
orthologous sequences from multiple species. Our method is tested on both
simulated and biological data sets in mammals and Drosophila, where significant
improvement over other motif and module discovery methods is observed.
| stat.AP | cisregulatory modules crms composed of multiple transcription factor binding sites tfbss control gene expression in eukaryotic genomes comparative genomic studies have shown that these regulatory elements are more conserved across species due to evolutionary constraints we propose a statistical method to combine module structure and crossspecies orthology in de novo motif discovery we use a hidden markov model hmm to capture the module structure in each species and couple these hmms through multiplespecies alignment evolutionary models are incorporated to consider correlated structures among aligned sequence positions across different species based on our model we develop a markov chain monte carlo approach multimodule to discover crms and their component motifs simultaneously in groups of orthologous sequences from multiple species our method is tested on both simulated and biological data sets in mammals and drosophila where significant improvement over other motif and module discovery methods is observed | [['cisregulatory', 'modules', 'crms', 'composed', 'of', 'multiple', 'transcription', 'factor', 'binding', 'sites', 'tfbss', 'control', 'gene', 'expression', 'in', 'eukaryotic', 'genomes', 'comparative', 'genomic', 'studies', 'have', 'shown', 'that', 'these', 'regulatory', 'elements', 'are', 'more', 'conserved', 'across', 'species', 'due', 'to', 'evolutionary', 'constraints', 'we', 'propose', 'a', 'statistical', 'method', 'to', 'combine', 'module', 'structure', 'and', 'crossspecies', 'orthology', 'in', 'de', 'novo', 'motif', 'discovery', 'we', 'use', 'a', 'hidden', 'markov', 'model', 'hmm', 'to', 'capture', 'the', 'module', 'structure', 'in', 'each', 'species', 'and', 'couple', 'these', 'hmms', 'through', 'multiplespecies', 'alignment', 'evolutionary', 'models', 'are', 'incorporated', 'to', 'consider', 'correlated', 'structures', 'among', 'aligned', 'sequence', 'positions', 'across', 'different', 'species', 'based', 'on', 'our', 'model', 'we', 'develop', 'a', 'markov', 'chain', 'monte', 'carlo', 'approach', 'multimodule', 'to', 'discover', 'crms', 'and', 'their', 'component', 'motifs', 'simultaneously', 'in', 'groups', 'of', 'orthologous', 'sequences', 'from', 'multiple', 'species', 'our', 'method', 'is', 'tested', 'on', 'both', 'simulated', 'and', 'biological', 'data', 'sets', 'in', 'mammals', 'and', 'drosophila', 'where', 'significant', 'improvement', 'over', 'other', 'motif', 'and', 'module', 'discovery', 'methods', 'is', 'observed']] | [-0.08069597512949259, 0.08886037325518656, -0.02429396893973623, 0.10291349034684165, -0.037594593611770664, -0.16158774499942002, 0.038893241922628004, 0.4652136602021497, -0.2987074043601751, -0.29976543442121356, 0.00046202154781926295, -0.24815533261360792, -0.21141066974719408, 0.14552724721424024, -0.021385507921463456, -0.008989975372618385, 0.13849828762869382, 0.0053333272258269376, 0.07122932375280251, -0.21972223518352058, 0.25000138625277785, 0.06050096605101536, 0.317623501527926, -0.07853429938570179, 0.14379739448958045, -0.043248590142947844, -0.07629764347802848, -0.04283918133968937, -0.13314753929659892, 0.19505790936477596, 0.33783129890530134, 0.18787263924705572, 0.23732160586093007, -0.4219733130058338, -0.22924656103011862, 0.13200481582657786, 0.18369214178287777, 0.15080699855461716, -0.029804777294288966, -0.2695716383256789, 0.07514888967612181, -0.16738503710607644, -0.004067340316572066, -0.10312165581011053, -0.02896219852284111, 0.05351956811059138, -0.24795852104796032, 0.11102743742923285, -0.032487333248016136, 0.11509970077795201, -0.08560951791928503, -0.17288255576477868, -0.05288237754319763, 0.17079506897977714, 0.03362283475440124, -0.025214699768172255, 0.18111981836886243, -0.059873224965071886, -0.19894094201254434, 0.28469054977778857, -0.038872247446199944, -0.2186150000398529, 0.2532661631703377, -0.07640894206505719, -0.26179984341985707, 0.12486745280309998, 0.17592780459029922, 0.1165535424386376, -0.2164930467405517, 0.020140199929250983, 0.01662268525567548, 0.20661157031286637, 0.07799156618400895, -0.034884434986602646, 0.21037799589464376, 0.20937451151548886, -0.008013558065004903, 0.09923593845290678, -0.09368689025527445, -0.1655830038077166, -0.1464000122364739, -0.12662226067342122, -0.10165059660593498, -0.040313604072635546, -0.0839497576268984, -0.20743024897950316, 0.39261528721143457, 0.15994504412440086, 0.18398656678739292, 0.0770011054428198, 0.21660901136889027, -0.057871622314419724, 0.14111699741253436, -0.008348682084409842, 0.08260620007098748, 0.11405353830677682, 0.025426116906074357, -0.21523464033219578, 0.16464060764952465, 0.05626257337501337] |
708.4319 | The Phenomenology of Elastic Energy Loss | The unexpectedly strong suppression of high p_T heavy-quarks in heavy-ion
collisions has given rise to the idea that partons propagating through a medium
in addition to energy loss by induced radiation also undergo substantial energy
loss due to elastic collisions. However, the precise magnitude of this elastic
energy loss component is highly controversial. While it is for a parton inside
a medium surprisingly difficult to define the difference between elastic and
radiative processes rigorously, the main phenomenological difference is in the
dependence of energy loss on in-medium pathlength: in a constant medium
radiative energy loss is expected to grow quadratically with pathlength,
elastic energy loss linearly. In this paper, we investigate a class of energy
loss models with such a linear pathlength dependence and demonstrate that they
are incompatible with measured data on hard hadronic back-to-back correlations
where a substantial variation of pathlength is probed. This indicates that any
elastic energy loss component has to be small.
| hep-ph | the unexpectedly strong suppression of high p_t heavyquarks in heavyion collisions has given rise to the idea that partons propagating through a medium in addition to energy loss by induced radiation also undergo substantial energy loss due to elastic collisions however the precise magnitude of this elastic energy loss component is highly controversial while it is for a parton inside a medium surprisingly difficult to define the difference between elastic and radiative processes rigorously the main phenomenological difference is in the dependence of energy loss on inmedium pathlength in a constant medium radiative energy loss is expected to grow quadratically with pathlength elastic energy loss linearly in this paper we investigate a class of energy loss models with such a linear pathlength dependence and demonstrate that they are incompatible with measured data on hard hadronic backtoback correlations where a substantial variation of pathlength is probed this indicates that any elastic energy loss component has to be small | [['the', 'unexpectedly', 'strong', 'suppression', 'of', 'high', 'p_t', 'heavyquarks', 'in', 'heavyion', 'collisions', 'has', 'given', 'rise', 'to', 'the', 'idea', 'that', 'partons', 'propagating', 'through', 'a', 'medium', 'in', 'addition', 'to', 'energy', 'loss', 'by', 'induced', 'radiation', 'also', 'undergo', 'substantial', 'energy', 'loss', 'due', 'to', 'elastic', 'collisions', 'however', 'the', 'precise', 'magnitude', 'of', 'this', 'elastic', 'energy', 'loss', 'component', 'is', 'highly', 'controversial', 'while', 'it', 'is', 'for', 'a', 'parton', 'inside', 'a', 'medium', 'surprisingly', 'difficult', 'to', 'define', 'the', 'difference', 'between', 'elastic', 'and', 'radiative', 'processes', 'rigorously', 'the', 'main', 'phenomenological', 'difference', 'is', 'in', 'the', 'dependence', 'of', 'energy', 'loss', 'on', 'inmedium', 'pathlength', 'in', 'a', 'constant', 'medium', 'radiative', 'energy', 'loss', 'is', 'expected', 'to', 'grow', 'quadratically', 'with', 'pathlength', 'elastic', 'energy', 'loss', 'linearly', 'in', 'this', 'paper', 'we', 'investigate', 'a', 'class', 'of', 'energy', 'loss', 'models', 'with', 'such', 'a', 'linear', 'pathlength', 'dependence', 'and', 'demonstrate', 'that', 'they', 'are', 'incompatible', 'with', 'measured', 'data', 'on', 'hard', 'hadronic', 'backtoback', 'correlations', 'where', 'a', 'substantial', 'variation', 'of', 'pathlength', 'is', 'probed', 'this', 'indicates', 'that', 'any', 'elastic', 'energy', 'loss', 'component', 'has', 'to', 'be', 'small']] | [-0.11318513313842238, 0.2247866466641426, -0.12413291212550964, 0.12302374495875541, -0.06150026273599286, -0.04651025853529098, -0.007481647404741235, 0.43763288267247474, -0.2950602836972162, -0.32587601446433906, -0.020641806045292053, -0.3272234168301105, -0.04568494102698128, 0.12175058224090156, -0.00188902875550898, 0.07149302622505055, 0.09693549508466177, -0.005944728353031122, -0.0416574572935214, -0.16005953910143655, 0.34757008398052563, 0.11537010583041865, 0.25342095970431233, 0.1967479439665842, 0.11794926390529367, 0.031344242767685916, 0.007024354491216742, 0.031027016022307858, -0.10241403956195913, 0.08214549123121212, 0.22820297838274445, 0.01203191589570017, 0.23623247173389383, -0.39263041466949095, -0.24243257204990146, 0.14043645806919047, 0.11395456567021076, 0.0791414020283468, -0.06117497579265789, -0.13032011379292058, 0.05033377760718725, -0.20840061373806967, -0.1167281746113922, -0.05073577005736482, 0.023167925216494852, 0.03451860013787166, -0.2850095349286867, 0.14394199996752885, 0.02559804466736924, 0.00297026368670735, -0.036731276340088596, -0.0870894466817474, -0.05346567143543748, -0.0017715117917841028, 0.1074368513951517, 0.09213390279039266, 0.1369201204781035, -0.15243281133081407, -0.0593364153555624, 0.39719961990548924, -0.06336750815901313, -0.17450348808946217, 0.18587257497154983, -0.14400232530786258, -0.044551126740481346, 0.22583719081939405, 0.2743496351310343, 0.0693440414159885, -0.1622677810792663, 0.019897266767865674, 0.02248952181484835, 0.2020272471642442, 0.08217093968099565, 0.1233478984647211, 0.15696242621619325, 0.19139562504718993, 0.034500522479699675, 0.13680439587581641, -0.0659573407825913, -0.07129343702297682, -0.32506037161205037, -0.1006990712266534, -0.1638640403439095, 0.08685654590416486, -0.07924228197443417, -0.14124386603973663, 0.32842693384885074, 0.08390089094187993, 0.2863720835595848, -0.0016991652112311809, 0.34839265505712075, 0.15110234667140707, 0.08762498491645382, 0.1063109489045088, 0.33286167602025113, 0.12880807656907495, 0.12553028613299275, -0.26630932359309617, 0.0953071514666555, -0.02250629110309254] |
708.432 | Power-law running of the effective gluon mass | The dynamically generated effective gluon mass is known to depend
non-trivially on the momentum, decreasing sufficiently fast in the deep
ultraviolet, in order for the renormalizability of QCD to be preserved. General
arguments based on the analogy with the constituent quark masses, as well as
explicit calculations using the operator-product expansion, suggest that the
gluon mass falls off as the inverse square of the momentum, relating it to the
gauge-invariant gluon condensate of dimension four. In this article we
demonstrate that the power-law running of the effective gluon mass is indeed
dynamically realized at the level of the non-perturbative Schwinger-Dyson
equation. We study a gauge-invariant non-linear integral equation involving the
gluon self-energy, and establish the conditions necessary for the existence of
infrared finite solutions, described in terms of a momentum-dependent gluon
mass. Assuming a simplified form for the gluon propagator, we derive a
secondary integral equation that controls the running of the mass in the deep
ultraviolet. Depending on the values chosen for certain parameters entering
into the Ansatz for the fully-dressed three-gluon vertex, this latter equation
yields either logarithmic solutions, familiar from previous linear studies, or
a new type of solutions, displaying power-law running. In addition, it
furnishes a non-trivial integral constraint, which restricts significantly (but
does not determine fully) the running of the mass in the intermediate and
infrared regimes. The numerical analysis presented is in complete agreement
with the analytic results obtained, showing clearly the appearance of the two
types of momentum-dependence, well-separated in the relevant space of
parameters. Open issues and future directions are briefly discussed.
| hep-ph hep-lat hep-th | the dynamically generated effective gluon mass is known to depend nontrivially on the momentum decreasing sufficiently fast in the deep ultraviolet in order for the renormalizability of qcd to be preserved general arguments based on the analogy with the constituent quark masses as well as explicit calculations using the operatorproduct expansion suggest that the gluon mass falls off as the inverse square of the momentum relating it to the gaugeinvariant gluon condensate of dimension four in this article we demonstrate that the powerlaw running of the effective gluon mass is indeed dynamically realized at the level of the nonperturbative schwingerdyson equation we study a gaugeinvariant nonlinear integral equation involving the gluon selfenergy and establish the conditions necessary for the existence of infrared finite solutions described in terms of a momentumdependent gluon mass assuming a simplified form for the gluon propagator we derive a secondary integral equation that controls the running of the mass in the deep ultraviolet depending on the values chosen for certain parameters entering into the ansatz for the fullydressed threegluon vertex this latter equation yields either logarithmic solutions familiar from previous linear studies or a new type of solutions displaying powerlaw running in addition it furnishes a nontrivial integral constraint which restricts significantly but does not determine fully the running of the mass in the intermediate and infrared regimes the numerical analysis presented is in complete agreement with the analytic results obtained showing clearly the appearance of the two types of momentumdependence wellseparated in the relevant space of parameters open issues and future directions are briefly discussed | [['the', 'dynamically', 'generated', 'effective', 'gluon', 'mass', 'is', 'known', 'to', 'depend', 'nontrivially', 'on', 'the', 'momentum', 'decreasing', 'sufficiently', 'fast', 'in', 'the', 'deep', 'ultraviolet', 'in', 'order', 'for', 'the', 'renormalizability', 'of', 'qcd', 'to', 'be', 'preserved', 'general', 'arguments', 'based', 'on', 'the', 'analogy', 'with', 'the', 'constituent', 'quark', 'masses', 'as', 'well', 'as', 'explicit', 'calculations', 'using', 'the', 'operatorproduct', 'expansion', 'suggest', 'that', 'the', 'gluon', 'mass', 'falls', 'off', 'as', 'the', 'inverse', 'square', 'of', 'the', 'momentum', 'relating', 'it', 'to', 'the', 'gaugeinvariant', 'gluon', 'condensate', 'of', 'dimension', 'four', 'in', 'this', 'article', 'we', 'demonstrate', 'that', 'the', 'powerlaw', 'running', 'of', 'the', 'effective', 'gluon', 'mass', 'is', 'indeed', 'dynamically', 'realized', 'at', 'the', 'level', 'of', 'the', 'nonperturbative', 'schwingerdyson', 'equation', 'we', 'study', 'a', 'gaugeinvariant', 'nonlinear', 'integral', 'equation', 'involving', 'the', 'gluon', 'selfenergy', 'and', 'establish', 'the', 'conditions', 'necessary', 'for', 'the', 'existence', 'of', 'infrared', 'finite', 'solutions', 'described', 'in', 'terms', 'of', 'a', 'momentumdependent', 'gluon', 'mass', 'assuming', 'a', 'simplified', 'form', 'for', 'the', 'gluon', 'propagator', 'we', 'derive', 'a', 'secondary', 'integral', 'equation', 'that', 'controls', 'the', 'running', 'of', 'the', 'mass', 'in', 'the', 'deep', 'ultraviolet', 'depending', 'on', 'the', 'values', 'chosen', 'for', 'certain', 'parameters', 'entering', 'into', 'the', 'ansatz', 'for', 'the', 'fullydressed', 'threegluon', 'vertex', 'this', 'latter', 'equation', 'yields', 'either', 'logarithmic', 'solutions', 'familiar', 'from', 'previous', 'linear', 'studies', 'or', 'a', 'new', 'type', 'of', 'solutions', 'displaying', 'powerlaw', 'running', 'in', 'addition', 'it', 'furnishes', 'a', 'nontrivial', 'integral', 'constraint', 'which', 'restricts', 'significantly', 'but', 'does', 'not', 'determine', 'fully', 'the', 'running', 'of', 'the', 'mass', 'in', 'the', 'intermediate', 'and', 'infrared', 'regimes', 'the', 'numerical', 'analysis', 'presented', 'is', 'in', 'complete', 'agreement', 'with', 'the', 'analytic', 'results', 'obtained', 'showing', 'clearly', 'the', 'appearance', 'of', 'the', 'two', 'types', 'of', 'momentumdependence', 'wellseparated', 'in', 'the', 'relevant', 'space', 'of', 'parameters', 'open', 'issues', 'and', 'future', 'directions', 'are', 'briefly', 'discussed']] | [-0.11579833465825337, 0.16551112020388245, -0.12128382394698572, 0.11324240545195957, -0.08481427087144067, -0.0833576534767277, 0.031755089475392684, 0.32577995556908157, -0.20344004386391204, -0.2548774366822237, 0.07553796044935902, -0.2417708850841826, -0.09401500235007217, 0.17160559930355074, 0.0262401950545609, 0.03817226719519777, 0.04401963721745862, 0.046667978241412826, -0.10231980779566444, -0.2306306819538944, 0.3727722335857554, 0.012438707610887762, 0.23240606374680423, 0.1176714513119525, 0.11696726892394228, 0.03779296895099833, -0.069213953099321, -0.011463144885559674, -0.1432743602892095, 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708.4321 | Non-Gaussianities from ekpyrotic collapse with multiple fields | We compute the non-Gaussianity of the curvature perturbation generated by
ekpyrotic collapse with multiple fields. The transition from the multi-field
scaling solution to a single-field dominated regime converts initial
isocurvature field perturbations to an almost scale-invariant comoving
curvature perturbation. In the specific model of two fields, $\phi_1$ and
$\phi_2$, with exponential potentials, $-V_i \exp (-c_i \phi_i)$, we calculate
the bispectrum of the resulting curvature perturbation. We find that the
non-Gaussianity is dominated by non-linear evolution on super-Hubble scales and
hence is of the local form. The non-linear parameter of the curvature
perturbation is given by $f_{NL} = 5 c_j^2 /12$, where $c_j$ is the exponent of
the potential for the field which becomes sub-dominant at late times. Since
$c_j^2$ must be large, in order to generate an almost scale invariant spectrum,
the non-Gaussianity is inevitably large. By combining the present observational
constraints on $f_{\rm NL}$ and the scalar spectral index, the specific model
studied in this paper is thus ruled out by current observational data.
| hep-th astro-ph gr-qc | we compute the nongaussianity of the curvature perturbation generated by ekpyrotic collapse with multiple fields the transition from the multifield scaling solution to a singlefield dominated regime converts initial isocurvature field perturbations to an almost scaleinvariant comoving curvature perturbation in the specific model of two fields phi_1 and phi_2 with exponential potentials v_i exp c_i phi_i we calculate the bispectrum of the resulting curvature perturbation we find that the nongaussianity is dominated by nonlinear evolution on superhubble scales and hence is of the local form the nonlinear parameter of the curvature perturbation is given by f_nl 5 c_j2 12 where c_j is the exponent of the potential for the field which becomes subdominant at late times since c_j2 must be large in order to generate an almost scale invariant spectrum the nongaussianity is inevitably large by combining the present observational constraints on f_rm nl and the scalar spectral index the specific model studied in this paper is thus ruled out by current observational data | [['we', 'compute', 'the', 'nongaussianity', 'of', 'the', 'curvature', 'perturbation', 'generated', 'by', 'ekpyrotic', 'collapse', 'with', 'multiple', 'fields', 'the', 'transition', 'from', 'the', 'multifield', 'scaling', 'solution', 'to', 'a', 'singlefield', 'dominated', 'regime', 'converts', 'initial', 'isocurvature', 'field', 'perturbations', 'to', 'an', 'almost', 'scaleinvariant', 'comoving', 'curvature', 'perturbation', 'in', 'the', 'specific', 'model', 'of', 'two', 'fields', 'phi_1', 'and', 'phi_2', 'with', 'exponential', 'potentials', 'v_i', 'exp', 'c_i', 'phi_i', 'we', 'calculate', 'the', 'bispectrum', 'of', 'the', 'resulting', 'curvature', 'perturbation', 'we', 'find', 'that', 'the', 'nongaussianity', 'is', 'dominated', 'by', 'nonlinear', 'evolution', 'on', 'superhubble', 'scales', 'and', 'hence', 'is', 'of', 'the', 'local', 'form', 'the', 'nonlinear', 'parameter', 'of', 'the', 'curvature', 'perturbation', 'is', 'given', 'by', 'f_nl', '5', 'c_j2', '12', 'where', 'c_j', 'is', 'the', 'exponent', 'of', 'the', 'potential', 'for', 'the', 'field', 'which', 'becomes', 'subdominant', 'at', 'late', 'times', 'since', 'c_j2', 'must', 'be', 'large', 'in', 'order', 'to', 'generate', 'an', 'almost', 'scale', 'invariant', 'spectrum', 'the', 'nongaussianity', 'is', 'inevitably', 'large', 'by', 'combining', 'the', 'present', 'observational', 'constraints', 'on', 'f_rm', 'nl', 'and', 'the', 'scalar', 'spectral', 'index', 'the', 'specific', 'model', 'studied', 'in', 'this', 'paper', 'is', 'thus', 'ruled', 'out', 'by', 'current', 'observational', 'data']] | [-0.18755585219279478, 0.196321387651906, -0.07921850019441236, 0.08976448076087186, -0.059123203276568545, -0.12549175120884462, -0.07789707707067975, 0.2820990821176277, -0.2557395979841581, -0.2761530024084694, 0.08536086435977756, -0.27171882683206805, -0.10702528727521961, 0.1459072183266782, 0.026651758558639303, 0.02847919072501543, -0.0236719477220393, 0.018798508766538848, -0.0153043830026191, -0.24903107747128914, 0.37913207538644556, 0.07573454233919974, 0.20454466637158653, 0.0031383360349913924, 0.046926527814343345, -0.07795634176354946, -0.040991175809389595, 0.01937867330796108, -0.18472320823412902, 0.04367132487184391, 0.16325717731959274, 0.10996686412793834, 0.23214114225957905, -0.3895606271150272, -0.2045249669768609, 0.16294287714295136, 0.13312120818271778, 0.10727986725112537, -0.013654010980844317, -0.27872606581531284, 0.06568162746034653, -0.12803620768273705, -0.09212528317655641, -0.09453070060372716, 0.046451374918233784, -0.04276941439865169, -0.33661852106338414, 0.16912920944812912, 0.018036550389341557, 2.898843447882228e-05, -0.023738106354934778, -0.06654283224616381, -0.06079067516555192, 0.027618186630694787, 0.09365490473176512, 0.07034960885889964, 0.14815227290978883, -0.16406246380867698, -0.010413587478801563, 0.3771390809092625, -0.17080797241765028, -0.14176075507051925, 0.0409596002555634, -0.17044049650771406, -0.14233710410970649, 0.1045670181728627, 0.13471723400715102, 0.08940685921236476, -0.0973025353812817, 0.17922600429248145, 0.08415053354252539, 0.20239450613877213, 0.09537406028361946, -0.006811621516556819, 0.23959289077760243, 0.06651283007416102, 0.09868093039954036, 0.0965905525407856, -0.06776387105616401, -0.0841750380279292, -0.3704962240757063, -0.05016041984327319, -0.2096427474256105, 0.10279207115867971, -0.17316728148855362, -0.19035820578645188, 0.43359443113043133, 0.12282665358964927, 0.21686268120254504, 0.08945727810696996, 0.2789899275053247, 0.15966834845702824, 0.0600677795762128, 0.09370984866725893, 0.3008041495695801, 0.12095143217962553, 0.07760434622539877, -0.20815478735915727, -0.02217157757074413, 0.014998044247920738] |
708.4322 | On the behaviour of R(pA) at high energy | We discuss the behaviour of R(pA), the ratio of the unintegrated gluon
distribution of a nucleus over the unintegrated gluon distribution of a proton
scaled up by A^{1/3}, at high energy and fixed coupling. We show that R(pA)
exhibits a rising gluon shadowing with growing rapidity, approaching 1/A^{1/3}
at asymptotic rapidity, which means total gluon shadowing due to gluon number
fluctuations or Pomeron loops.
| hep-ph | we discuss the behaviour of rpa the ratio of the unintegrated gluon distribution of a nucleus over the unintegrated gluon distribution of a proton scaled up by a13 at high energy and fixed coupling we show that rpa exhibits a rising gluon shadowing with growing rapidity approaching 1a13 at asymptotic rapidity which means total gluon shadowing due to gluon number fluctuations or pomeron loops | [['we', 'discuss', 'the', 'behaviour', 'of', 'rpa', 'the', 'ratio', 'of', 'the', 'unintegrated', 'gluon', 'distribution', 'of', 'a', 'nucleus', 'over', 'the', 'unintegrated', 'gluon', 'distribution', 'of', 'a', 'proton', 'scaled', 'up', 'by', 'a13', 'at', 'high', 'energy', 'and', 'fixed', 'coupling', 'we', 'show', 'that', 'rpa', 'exhibits', 'a', 'rising', 'gluon', 'shadowing', 'with', 'growing', 'rapidity', 'approaching', '1a13', 'at', 'asymptotic', 'rapidity', 'which', 'means', 'total', 'gluon', 'shadowing', 'due', 'to', 'gluon', 'number', 'fluctuations', 'or', 'pomeron', 'loops']] | [-0.07665629874007585, 0.2913433284986587, -0.2357646156368511, 0.1812498261117273, 0.038343308401101873, -0.03135548547808347, 0.0303898385785047, 0.4000421626348278, -0.17062303598319728, -0.19794547137996507, -0.09129971443187623, -0.31654749699823914, 0.060808791132229895, 0.03338491452103924, 0.03432713205083495, 0.07531658453600747, 0.023264481368223355, -0.013306737566987673, -0.06448691978584975, -0.19456483588539183, 0.37859268359366866, 0.05948592768982053, 0.24463129804898348, 0.22860975506069187, 0.16645493311068368, 0.12400651497337671, -0.04100041419622444, -0.008811264757126097, -0.0966950454440805, -0.0029828201624609177, 0.204642789637936, -0.0416557888855182, 0.17638360144245246, -0.3266618743036238, -0.13774987110602005, 0.0726426024403837, 0.2170941594189831, 0.03491116822364607, 0.017641465393974196, -0.19009822018681063, 0.07074665876903705, -0.3327441299408083, -0.27038674939808155, -0.07984850272196271, -0.0075799959401289625, 0.07509939322277667, -0.3429215010551233, 0.08521228753739879, -0.06402814107400084, -0.021473489376524137, 0.04394077085742047, -0.2371547261755618, -0.09607813220530276, 0.01469795845286359, 0.2074489239603281, 0.1487871657702185, 0.2164890271138459, -0.2724779715321751, -0.06544846353963726, 0.273940761381435, -0.000696094878505738, -0.10896832617147574, 0.09904426746513872, -0.2649636370987291, -0.10443149804181996, 0.2468453706389973, 0.20585658778214738, 0.05994544616560378, -0.15389010601396125, 0.11496175206100036, -0.0031010634635412503, 0.16059844917617738, 0.1745958701330459, 0.11028943853157144, 0.17793014652967926, 0.19206623948873983, 0.012452995108943137, 0.137407313485349, -0.13118691174756913, -0.14915495283073849, -0.3931710082623694, 8.994360114373858e-05, -0.1337669251231654, 0.06342802124304904, -0.20004575609184233, -0.17745831165285336, 0.3672329221837341, 0.05821177956189901, 0.24914070750616255, 0.07880144957489969, 0.32988435012244044, 0.18576662855902834, 0.07698609609718597, 0.14669690717248215, 0.20819430671159236, 0.23405281096948163, 0.164804238402876, -0.28564261463249013, 0.029555458353743666, 0.07957318106607075] |
708.4323 | Phase diagram analysis and crystal growth of solid solutions
Ca_{1-x}Sr_xF_2 | The binary phase diagram CaF$_2$--SrF$_2$ was investigated by differential
thermal analysis (DTA). Both substances exhibit unlimited mutual solubility
with an azeotropic point showing a minimum melting temperature of
T_\mathrm{min}=1373^{\circ}$C for the composition
Ca$_{0.582}$Sr$_{0.418}$F$_2$. Close to this composition, homogeneous single
crystals up to 30 mm diameter without remarkable segregation could be grown by
the Czochralski method.
| cond-mat.mtrl-sci | the binary phase diagram caf_2srf_2 was investigated by differential thermal analysis dta both substances exhibit unlimited mutual solubility with an azeotropic point showing a minimum melting temperature of t_mathrmmin1373circc for the composition ca_0582sr_0418f_2 close to this composition homogeneous single crystals up to 30 mm diameter without remarkable segregation could be grown by the czochralski method | [['the', 'binary', 'phase', 'diagram', 'caf_2srf_2', 'was', 'investigated', 'by', 'differential', 'thermal', 'analysis', 'dta', 'both', 'substances', 'exhibit', 'unlimited', 'mutual', 'solubility', 'with', 'an', 'azeotropic', 'point', 'showing', 'a', 'minimum', 'melting', 'temperature', 'of', 't_mathrmmin1373circc', 'for', 'the', 'composition', 'ca_0582sr_0418f_2', 'close', 'to', 'this', 'composition', 'homogeneous', 'single', 'crystals', 'up', 'to', '30', 'mm', 'diameter', 'without', 'remarkable', 'segregation', 'could', 'be', 'grown', 'by', 'the', 'czochralski', 'method']] | [-0.07937426901816462, 0.19895867658851785, -0.08614921587734269, -0.05821277273935266, -0.01620538784817864, -0.12538632912597117, 0.12776821918893033, 0.3849747507035947, -0.2967998741839368, -0.35756524813433105, 0.07064984633157459, -0.2988961693794968, -0.06504627662854126, 0.1600030719374235, -0.02991842650450193, 0.073752539142823, 0.02802942447641936, -0.01468697485800546, -0.09756870673467907, -0.24021596511234888, 0.22935129343890226, 0.11448446929884645, 0.28339892246115667, 0.04837294234536015, 0.07361955165218276, -0.03132412408012897, 0.08384501821218202, 0.06797093837163769, -0.19552280673255715, 0.01967136708732981, 0.21661196002521768, -0.007467473176522897, 0.14606588939204812, -0.35964333402136195, -0.27543137000443846, 0.0718207633158622, 0.09734590579039203, 0.05500737729912194, -0.10992912822761215, -0.2175739720718971, 0.12601586020453118, -0.114164953549894, -0.14960984092277402, -0.05848322520390726, -0.0212688492028974, 0.006469758657308726, -0.20376180907568106, 0.08468302499610357, 0.056501079440260164, 0.1611636930431884, -0.08698825273089685, -0.15643801433571541, -0.08141994385424858, 0.08346444427017839, -0.056441703802332856, 0.016464742625920244, 0.17280509398103908, -0.05041587298574786, -0.07205984231908448, 0.3392581172430745, -0.08273347181294902, -0.06500403709315623, 0.19701425462531355, -0.17013966190055585, -0.06976308210645445, 0.25816534972937705, 0.09505507458323756, 0.12144855324787876, -0.2282589552565836, 0.016699733830486927, 0.017793399854921378, 0.2762281622076094, 0.17640652099194434, -0.06667304256608567, 0.267961741425097, 0.22219319700693282, -0.011175579642160581, 0.2141658305526317, -0.09100811816572857, -0.10277545463087825, -0.14392011277959682, -0.20860129651667264, -0.1539040753402962, 0.07220289564037767, -0.17436245034556264, -0.1933747650249503, 0.2646531624710545, 0.06703491690747726, 0.18548666018670282, -0.02211169568965068, 0.20607957107802996, 0.07672196803972699, 0.07889755903026806, 0.012814872947414048, 0.25574352054928357, 0.19073940040722775, 0.157910669912011, -0.26547327551704186, 0.1433686632483911, 0.026994688579669364] |
708.4324 | Sensitivity Analysis of the Orthoglide, a 3-DOF Translational Parallel
Kinematic Machine | This paper presents a sensitivity analysis of the Orthoglide, a 3-DOF
translational Parallel Kinematic Machine. Two complementary methods are
developed to analyze its sensitivity to its dimensional and angular variations.
First, a linkage kinematic analysis method is used to have a rough idea of the
influence of the dimensional variations on the location of the end-effector.
Besides, this method shows that variations in the design parameters of the same
type from one leg to the other have the same influence on the end-effector.
However, this method does not take into account the variations in the
parallelograms. Thus, a differential vector method is used to study the
influence of the dimensional and angular variations in the parts of the
manipulator on the position and orientation of the end-effector, and
particularly the influence of the variations in the parallelograms. It turns
out that the kinematic isotropic configuration of the manipulator is the least
sensitive one to its dimensional and angular variations. On the contrary, the
closest configurations to its kinematic singular configurations are the most
sensitive ones to geometrical variations.
| cs.RO | this paper presents a sensitivity analysis of the orthoglide a 3dof translational parallel kinematic machine two complementary methods are developed to analyze its sensitivity to its dimensional and angular variations first a linkage kinematic analysis method is used to have a rough idea of the influence of the dimensional variations on the location of the endeffector besides this method shows that variations in the design parameters of the same type from one leg to the other have the same influence on the endeffector however this method does not take into account the variations in the parallelograms thus a differential vector method is used to study the influence of the dimensional and angular variations in the parts of the manipulator on the position and orientation of the endeffector and particularly the influence of the variations in the parallelograms it turns out that the kinematic isotropic configuration of the manipulator is the least sensitive one to its dimensional and angular variations on the contrary the closest configurations to its kinematic singular configurations are the most sensitive ones to geometrical variations | [['this', 'paper', 'presents', 'a', 'sensitivity', 'analysis', 'of', 'the', 'orthoglide', 'a', '3dof', 'translational', 'parallel', 'kinematic', 'machine', 'two', 'complementary', 'methods', 'are', 'developed', 'to', 'analyze', 'its', 'sensitivity', 'to', 'its', 'dimensional', 'and', 'angular', 'variations', 'first', 'a', 'linkage', 'kinematic', 'analysis', 'method', 'is', 'used', 'to', 'have', 'a', 'rough', 'idea', 'of', 'the', 'influence', 'of', 'the', 'dimensional', 'variations', 'on', 'the', 'location', 'of', 'the', 'endeffector', 'besides', 'this', 'method', 'shows', 'that', 'variations', 'in', 'the', 'design', 'parameters', 'of', 'the', 'same', 'type', 'from', 'one', 'leg', 'to', 'the', 'other', 'have', 'the', 'same', 'influence', 'on', 'the', 'endeffector', 'however', 'this', 'method', 'does', 'not', 'take', 'into', 'account', 'the', 'variations', 'in', 'the', 'parallelograms', 'thus', 'a', 'differential', 'vector', 'method', 'is', 'used', 'to', 'study', 'the', 'influence', 'of', 'the', 'dimensional', 'and', 'angular', 'variations', 'in', 'the', 'parts', 'of', 'the', 'manipulator', 'on', 'the', 'position', 'and', 'orientation', 'of', 'the', 'endeffector', 'and', 'particularly', 'the', 'influence', 'of', 'the', 'variations', 'in', 'the', 'parallelograms', 'it', 'turns', 'out', 'that', 'the', 'kinematic', 'isotropic', 'configuration', 'of', 'the', 'manipulator', 'is', 'the', 'least', 'sensitive', 'one', 'to', 'its', 'dimensional', 'and', 'angular', 'variations', 'on', 'the', 'contrary', 'the', 'closest', 'configurations', 'to', 'its', 'kinematic', 'singular', 'configurations', 'are', 'the', 'most', 'sensitive', 'ones', 'to', 'geometrical', 'variations']] | [-0.12363022668391802, 0.03181535315312696, -0.11978577483403549, 0.02911069464158225, -0.09622845791405842, -0.08858053799027975, -0.0037092191456252017, 0.37633010213462154, -0.26332557427479747, -0.2980034397391791, 0.10156093211501203, -0.24537579169669554, -0.12757987904707702, 0.17018210738269465, -0.06695486773642596, 0.0368403172051126, 0.05465721406482076, 0.0637528084249895, -0.08599719459196196, -0.21619784605775677, 0.3210622865622968, 0.04018691973237509, 0.2812051293440163, 0.022969275833306352, 0.1442509280711287, 0.018987437218343943, -0.05678644845931885, 0.06465373278773401, -0.10736345739165659, 0.15298955495733496, 0.1699870795199878, 0.07717481337414447, 0.2305881028754239, -0.37293055202560815, -0.1767975966278673, 0.08047183254456378, 0.11491580355619446, 0.08762266792440682, 0.03803141510605896, -0.26226989675857376, 0.06134226644971523, -0.09934264360116062, -0.1546550489506904, -0.04592233760219611, 0.028288493856390037, 0.01875311156193297, -0.22534227844463725, 0.027302268029221994, 0.07239700795616955, 0.062303903104549044, -0.0701574943017926, -0.11741376397320268, -0.045981069841014036, 0.16821258782220774, 0.08317450077006112, 0.019620600088468092, 0.1516742684323801, -0.11657206637584056, -0.09771554674325364, 0.4185774032343074, 0.00015991179042317894, -0.2785757385172065, 0.21008129147524957, -0.15238981053306397, -0.14301177381872712, 0.1260207446129846, 0.2078534584103958, 0.14082785460867742, -0.15202631248067017, 0.04350782338113869, -0.006300691954707832, 0.16475165674588485, 0.05260755603588867, 0.0031861711994566944, 0.20381283123285532, 0.14825241654336954, 0.0920863449612758, 0.14485121764840422, -0.19730139801833319, -0.10011624767356081, -0.28532645686037755, -0.1332795739061398, -0.13848292177642454, -0.01828044443383088, -0.10312514689584522, -0.1625036462674472, 0.4394610416395276, 0.17944022877765767, 0.21526971046572155, -0.01983270583297597, 0.3436438814642724, 0.06664423544347035, 0.1000632651024655, 0.03433095673203803, 0.29777003539297103, 0.12190609379263406, 0.11626534553746996, -0.2750736507966466, 0.09527380642182916, 0.03427162532056315] |
708.4325 | Instantons and the \theta vacuum in non-linear \sigma model and QCD | This is a talk given on the $\theta $vacuum and cluster properties and the
non-linear sigma model proposed to be given on occasion of an invitation to the
seventh international conference on Symmetry in Nonlinear Physics,June 24 - 30,
2007, Kiev.
| hep-th | this is a talk given on the theta vacuum and cluster properties and the nonlinear sigma model proposed to be given on occasion of an invitation to the seventh international conference on symmetry in nonlinear physicsjune 24 30 2007 kiev | [['this', 'is', 'a', 'talk', 'given', 'on', 'the', 'theta', 'vacuum', 'and', 'cluster', 'properties', 'and', 'the', 'nonlinear', 'sigma', 'model', 'proposed', 'to', 'be', 'given', 'on', 'occasion', 'of', 'an', 'invitation', 'to', 'the', 'seventh', 'international', 'conference', 'on', 'symmetry', 'in', 'nonlinear', 'physicsjune', '24', '30', '2007', 'kiev']] | [-0.10209108023450543, 0.07485216078445471, -0.07646417125868492, -0.0008846493796087229, -0.14784578997522402, -0.06164784009496753, 0.030607499349384736, 0.2907425850056685, -0.20550901987231696, -0.3507240768522024, 0.15575415541668639, -0.3147093696663013, -0.14208631360760102, 0.17657183931591228, -0.09314270737097384, 0.012777757914498067, 0.02046533874594248, 0.07874821482274012, -0.02537889623393615, -0.36247599000732106, 0.256088092063482, 0.14784603198178303, 0.2770588841671363, 0.06655807493445583, 0.1353486343883933, 0.00722789713062155, -0.09261026818496294, -0.04934176802635193, -0.10619643146697527, 0.1179013597086454, 0.21886041187323058, 0.1144705648916081, 0.23879137714035237, -0.37807450027993095, -0.06926088049434699, 0.008690655518036623, -0.013202710339847283, 0.04918436467265471, -0.002575701684691012, -0.337779284765323, 0.046033670289967306, -0.19023893773555756, -0.14080041594421253, 0.05453164756107025, 0.08321899146987842, -0.03441837425224292, -0.19548173382496223, 0.053496889173029326, 0.05181336875718374, 0.11786411124735306, -0.04949406395928982, -0.12554504531316268, -0.016907109568516415, 0.040484061070646234, 0.0006735852997129163, 0.09997061392865501, 0.048369052464691684, -0.13243939091738027, -0.11770024174490036, 0.42093042379770523, -0.05793015240954283, -0.10882128084985873, 0.1414453194787105, -0.1681496633025698, -0.17186753196307483, 0.08509408356621861, 0.2796611567624869, 0.08052609080018905, -0.1574552221916234, 0.12676530162720248, -0.046447261570928954, 0.2511994667733327, 0.08284197828899591, -0.07682727000270134, 0.20846568821714476, 0.16609040380288392, 0.010441038399361648, 0.0606866124092052, -0.066403075437754, -0.07368705983166225, -0.3589878438834626, -0.10272125957103875, -0.11285784659095299, 0.05466089256776449, 0.024687577397950616, -0.12603452125898537, 0.43873291331319475, 0.11386397434398532, 0.16174561301103005, -0.024406165218888186, 0.17527641160174823, 0.1334618044888768, -0.005376131584246953, 0.04942360700657352, 0.2357441299678519, 0.12277811923279212, 0.14900021000693625, -0.20484686051853573, -0.002127431727086122, 0.11793225317691955] |
708.4326 | The Tensor Part of the Skyrme Energy Density Functional | We systematically study the effect of the J^2 tensor terms in the Skyrme
energy functional on properties of spherical nuclei. We build a set of 36
parameterizations covering a wide range of the corresponding parameter space.
We analyze the impact of the tensor terms on the evolution of
single-particle-level splittings along chains of semi-magic nuclei in spherical
calculations. We find that positive values of the coupling constants of
proton-neutron and like-particle tensor terms allow for a qualitative
description of the evolution of neutron and proton single-particle level
splittings in chains of Ca, Ni and Sn isotopes.
| nucl-th | we systematically study the effect of the j2 tensor terms in the skyrme energy functional on properties of spherical nuclei we build a set of 36 parameterizations covering a wide range of the corresponding parameter space we analyze the impact of the tensor terms on the evolution of singleparticlelevel splittings along chains of semimagic nuclei in spherical calculations we find that positive values of the coupling constants of protonneutron and likeparticle tensor terms allow for a qualitative description of the evolution of neutron and proton singleparticle level splittings in chains of ca ni and sn isotopes | [['we', 'systematically', 'study', 'the', 'effect', 'of', 'the', 'j2', 'tensor', 'terms', 'in', 'the', 'skyrme', 'energy', 'functional', 'on', 'properties', 'of', 'spherical', 'nuclei', 'we', 'build', 'a', 'set', 'of', '36', 'parameterizations', 'covering', 'a', 'wide', 'range', 'of', 'the', 'corresponding', 'parameter', 'space', 'we', 'analyze', 'the', 'impact', 'of', 'the', 'tensor', 'terms', 'on', 'the', 'evolution', 'of', 'singleparticlelevel', 'splittings', 'along', 'chains', 'of', 'semimagic', 'nuclei', 'in', 'spherical', 'calculations', 'we', 'find', 'that', 'positive', 'values', 'of', 'the', 'coupling', 'constants', 'of', 'protonneutron', 'and', 'likeparticle', 'tensor', 'terms', 'allow', 'for', 'a', 'qualitative', 'description', 'of', 'the', 'evolution', 'of', 'neutron', 'and', 'proton', 'singleparticle', 'level', 'splittings', 'in', 'chains', 'of', 'ca', 'ni', 'and', 'sn', 'isotopes']] | [-0.1054436725466267, 0.1543012475827709, -0.03240227027747192, 0.1058949373172302, 0.003274678625166416, -0.006049059730292739, 0.04334879112675002, 0.35446762164172374, -0.193911219510789, -0.2822968810208534, -0.025242968868023078, -0.29493856859442436, -0.0635406973526666, 0.1227788925048356, 0.09818690138697428, -0.01432133396018272, 0.06082348496604122, 0.02857612835880565, -0.17560935043239673, -0.1771112040922928, 0.3645858711121898, 0.055742629097872656, 0.25174306914406386, 0.08796974427409862, 0.07002593500073999, 0.03292567298355463, 0.0219430168306357, 0.02029615748446974, -0.19026553709661945, 0.1566271267145088, 0.23017953218598114, 0.05354895376061138, 0.17627312601789047, -0.42004829437324875, -0.16676393897076577, 0.10587976430787852, 0.11822066684988769, 0.1311844811309129, 0.0021282202049501633, -0.23251760516217665, 0.059405031324805395, -0.253990056306908, -0.13729882123144835, -0.12352440565040237, 0.04710252155598841, 0.10310332080300309, -0.23228517501664006, 0.05756380857997819, 0.016124959780197394, 0.09412534778231546, -0.153681782976185, -0.20817118285493436, -0.036759905347992713, 0.08263298627479296, 0.09080935548010625, -0.038595141694378596, 0.12157690815235439, -0.11287813345460515, -0.04084206766105796, 0.40106861940339994, -0.08399866169661675, -0.17298625899772896, 0.11249622353597691, -0.16984775285971793, -0.14442095410348357, 0.12242436291846005, 0.17818655596163713, 0.13056236618492556, -0.10090677523985506, 0.13755790681247354, -0.014757173998575462, 0.184036569924731, 0.03887887328471008, 0.06770968855554728, 0.15530904149391542, 0.15793282955051643, -0.005592454793421846, 0.09052318006165717, -0.14234398757842812, -0.10526507782602781, -0.32474293307352226, -0.14077874970083173, -0.12783076151421197, 0.04996136016163387, -0.12409368752406935, -0.18624597312913177, 0.4453642583942335, 0.01832398584014491, 0.20833596622902215, 0.01804780635100446, 0.18794530690892747, 0.06555809118726756, 0.054855959279168594, 0.0021453377692715117, 0.2827548360599107, 0.23263092832394727, 0.04371522975791442, -0.29530438417568805, 0.020980800972565224, 0.08877229074408349] |
708.4327 | Group cocycles and the ring of affiliated operators | In this article we study cocycles of discrete countable groups with values in
l^2(G) and the ring of affiliated operators UG. We clarify properties of the
first cohomology of a group G with coefficients in l^2(G) and answer several
questions from [CTV]. Moreover, we obtain strong results about the existence of
free subgroups and the subgroup structure, provided the group has a positive
first l^2-Betti number. We give numerous applications and examples of groups
which satisfy our assumptions.
| math.GR math.DS | in this article we study cocycles of discrete countable groups with values in l2g and the ring of affiliated operators ug we clarify properties of the first cohomology of a group g with coefficients in l2g and answer several questions from ctv moreover we obtain strong results about the existence of free subgroups and the subgroup structure provided the group has a positive first l2betti number we give numerous applications and examples of groups which satisfy our assumptions | [['in', 'this', 'article', 'we', 'study', 'cocycles', 'of', 'discrete', 'countable', 'groups', 'with', 'values', 'in', 'l2g', 'and', 'the', 'ring', 'of', 'affiliated', 'operators', 'ug', 'we', 'clarify', 'properties', 'of', 'the', 'first', 'cohomology', 'of', 'a', 'group', 'g', 'with', 'coefficients', 'in', 'l2g', 'and', 'answer', 'several', 'questions', 'from', 'ctv', 'moreover', 'we', 'obtain', 'strong', 'results', 'about', 'the', 'existence', 'of', 'free', 'subgroups', 'and', 'the', 'subgroup', 'structure', 'provided', 'the', 'group', 'has', 'a', 'positive', 'first', 'l2betti', 'number', 'we', 'give', 'numerous', 'applications', 'and', 'examples', 'of', 'groups', 'which', 'satisfy', 'our', 'assumptions']] | [-0.17978892425218454, 0.06468193277191275, -0.10017719290231188, 0.036201729658597075, -0.118323635086059, -0.06317495949900685, 0.05172416029306941, 0.3746825008868025, -0.2979951296001673, -0.26802623248062074, 0.13779065393968126, -0.28767877769393796, -0.13390178500841826, 0.20508802395078163, -0.12024747136120613, -0.025522017011005513, 0.049292136509066976, 0.11740095481777993, -0.08203633676450221, -0.26682608517913675, 0.402179126532223, -0.04702691380710652, 0.20054063710790032, 0.05467075483801846, 0.08643282247253527, -0.03413277423868959, -0.06969496048986912, -0.000845758316035454, -0.19253812270621076, 0.127785908165746, 0.28805742276689184, 0.06104822707577394, 0.27170058724601776, -0.3784537018181231, -0.13769165575146103, 0.18245148515472046, 0.06632940814448282, 0.009970290566949794, -0.09804787682608151, -0.3020369360486093, 0.11231282776078352, -0.19047211496254954, -0.13090922799892724, -0.08967670380400541, 0.08017331103865917, 0.030098468515998088, -0.23769760468320994, 0.0408768972250609, 0.08841994181514168, 0.1401807718599836, -0.09536644350140332, -0.10638847925628607, -0.0025278209105659374, 0.1621650927879203, 0.05311385873834203, -0.04723657078246992, 0.07025636705713204, -0.06989564163646159, -0.13624180349497458, 0.4001261878472108, -0.07328664815913026, -0.180697872207906, 0.15902927415206647, -0.23606575032075247, -0.2414310832018367, 0.053636738164827995, 0.12362630668884286, 0.15021147058369258, -0.03929473919486508, 0.16350750277380052, -0.167272014137453, 0.10951834914083473, 0.06575050006787746, 0.047157852265697256, 0.08531219678190656, 0.06562581027631098, 0.08413234310715687, 0.1290496106719216, 0.0797610503833335, 0.038370887408606134, -0.39202166496752167, -0.1825394503509578, -0.08409872226333484, 0.08126043670703299, -0.05881749689862586, -0.14455522232068083, 0.4451185167970088, 0.1477034499343389, 0.17261920579207632, 0.10287450953798655, 0.16697182659155282, 0.06619171841959588, 0.05315705521318775, 0.08769133798061655, 0.09133339849993205, 0.25774879176289034, -0.03712101465759751, -0.1483483521046881, -0.031929672946437046, 0.15746338769363669] |
708.4328 | Dualities Between Entropy Functions and Network Codes | This paper provides a new duality between entropy functions and network
codes. Given a function $g\geq 0$ defined on all proper subsets of $N$ random
variables, we provide a construction for a network multicast problem which is
solvable if and only if $g$ is entropic. The underlying network topology is
fixed and the multicast problem depends on $g$ only through edge capacities and
source rates. Relaxing the requirement that the domain of $g$ be subsets of
random variables, we obtain a similar duality between polymatroids and the
linear programming bound. These duality results provide an alternative proof of
the insufficiency of linear (and abelian) network codes, and demonstrate the
utility of non-Shannon inequalities to tighten outer bounds on network coding
capacity regions.
| cs.IT math.IT | this paper provides a new duality between entropy functions and network codes given a function ggeq 0 defined on all proper subsets of n random variables we provide a construction for a network multicast problem which is solvable if and only if g is entropic the underlying network topology is fixed and the multicast problem depends on g only through edge capacities and source rates relaxing the requirement that the domain of g be subsets of random variables we obtain a similar duality between polymatroids and the linear programming bound these duality results provide an alternative proof of the insufficiency of linear and abelian network codes and demonstrate the utility of nonshannon inequalities to tighten outer bounds on network coding capacity regions | [['this', 'paper', 'provides', 'a', 'new', 'duality', 'between', 'entropy', 'functions', 'and', 'network', 'codes', 'given', 'a', 'function', 'ggeq', '0', 'defined', 'on', 'all', 'proper', 'subsets', 'of', 'n', 'random', 'variables', 'we', 'provide', 'a', 'construction', 'for', 'a', 'network', 'multicast', 'problem', 'which', 'is', 'solvable', 'if', 'and', 'only', 'if', 'g', 'is', 'entropic', 'the', 'underlying', 'network', 'topology', 'is', 'fixed', 'and', 'the', 'multicast', 'problem', 'depends', 'on', 'g', 'only', 'through', 'edge', 'capacities', 'and', 'source', 'rates', 'relaxing', 'the', 'requirement', 'that', 'the', 'domain', 'of', 'g', 'be', 'subsets', 'of', 'random', 'variables', 'we', 'obtain', 'a', 'similar', 'duality', 'between', 'polymatroids', 'and', 'the', 'linear', 'programming', 'bound', 'these', 'duality', 'results', 'provide', 'an', 'alternative', 'proof', 'of', 'the', 'insufficiency', 'of', 'linear', 'and', 'abelian', 'network', 'codes', 'and', 'demonstrate', 'the', 'utility', 'of', 'nonshannon', 'inequalities', 'to', 'tighten', 'outer', 'bounds', 'on', 'network', 'coding', 'capacity', 'regions']] | [-0.19696422010950257, 0.07239478895334302, -0.07166537540949515, 0.06105892342080164, -0.11325216464141048, -0.20888781303646745, 0.12388312107536056, 0.3580149497958969, -0.3308321798647769, -0.255763398323086, 0.10274865076548924, -0.23780542838036037, -0.17368612338819342, 0.18600347062542302, -0.10526957492855546, 0.03234993522895164, 0.0559656811042185, 0.04531887561496973, -0.07772829104405751, -0.30417874566905323, 0.33466361850293996, 0.00981927855459393, 0.2710267712751434, 0.09788193147568429, 0.12198327835954603, 0.022822257901396848, -0.00786238267242939, 0.01633827312998321, -0.16987136189405258, 0.14224773574979274, 0.27377999901817346, 0.19768789305053958, 0.2511976503034229, -0.3983795963777382, -0.21893868743242567, 0.14687199457777572, 0.083516942944996, 0.04346587425994794, -0.0035031299625874544, -0.23555965402705564, 0.11042923394010448, -0.15121705681238262, -0.03917157380521053, -0.018586717782633714, 0.027325634489629845, 0.024353968212381005, -0.33114781665814214, 0.014665541181829377, 0.08530142982719374, 0.04348327651138386, -0.03495912577338578, -0.10092757598374832, -0.01988367084413767, 0.12725273117071903, -0.005242931043927665, 0.08013754163403064, 0.07671005865482644, -0.09741701369582233, -0.1385960209252099, 0.31654882800505785, -0.019271503011772377, -0.2584366549462935, 0.1416432517428012, -0.08396243435792533, -0.15357904883910764, 0.05115539386303576, 0.18951491706195425, 0.14361655970149842, -0.11474758865250671, 0.13533933963445322, -0.13517422876397117, 0.15678752339864913, 0.07579364359749054, 0.09588112776381437, 0.14481476849883979, 0.1261255258072137, 0.16583796914621088, 0.19923135254352706, -0.007303853460098999, -0.03995910244535838, -0.33772942340612166, -0.12542113525956128, -0.21817425353792266, 0.0506275361804597, -0.18991922371513612, -0.1417259548506394, 0.36144715457864596, 0.06287681841917458, 0.15106610044623253, 0.16536251767051835, 0.25457145467583764, 0.09529119019289731, 0.047447880707131546, 0.1846361978735286, 0.13011585624858005, 0.19706835206521706, -0.013720748598733153, -0.1762548684215051, 0.08090378043287602, 0.14407042844686657] |
708.4329 | Detailed Analysis of Balmer Lines in a Sloan Digital Sky Survey Sample
of 90 Broad Line Active Galactic Nuclei | In order to contribute to the general effort aiming at the improvement of our
knowledge about the physical conditions within the Broad Line Region (BLR) of
Active Galactic Nuclei (AGN), here we present the results achieved by our
analysis of the spectral properties of a sample of 90 broad line emitting
sources, collected at the Sloan Digital Sky Survey (SDSS) database. By focusing
our attention mainly onto the Balmer series of hydrogen emission lines, which
is the dominant feature in the optical wavelength range of many BLR spectra, we
extracted several flux and profile measurements, which we related to other
source properties, such as optical continuum luminosities, inferred black hole
masses, and accretion rates. Using the Boltzmann Plot method to investigate the
Balmer line flux ratios as a function of the line profiles, we found that
broader line emitting AGN typically have larger H_alpha / H_beta and smaller
H_gamma / H_beta and H_delta / H_beta line ratios. With the help of some recent
investigations, we model the structure of the BLR and we study the influence of
the accretion process on the properties of the BLR plasma.
| astro-ph | in order to contribute to the general effort aiming at the improvement of our knowledge about the physical conditions within the broad line region blr of active galactic nuclei agn here we present the results achieved by our analysis of the spectral properties of a sample of 90 broad line emitting sources collected at the sloan digital sky survey sdss database by focusing our attention mainly onto the balmer series of hydrogen emission lines which is the dominant feature in the optical wavelength range of many blr spectra we extracted several flux and profile measurements which we related to other source properties such as optical continuum luminosities inferred black hole masses and accretion rates using the boltzmann plot method to investigate the balmer line flux ratios as a function of the line profiles we found that broader line emitting agn typically have larger h_alpha h_beta and smaller h_gamma h_beta and h_delta h_beta line ratios with the help of some recent investigations we model the structure of the blr and we study the influence of the accretion process on the properties of the blr plasma | [['in', 'order', 'to', 'contribute', 'to', 'the', 'general', 'effort', 'aiming', 'at', 'the', 'improvement', 'of', 'our', 'knowledge', 'about', 'the', 'physical', 'conditions', 'within', 'the', 'broad', 'line', 'region', 'blr', 'of', 'active', 'galactic', 'nuclei', 'agn', 'here', 'we', 'present', 'the', 'results', 'achieved', 'by', 'our', 'analysis', 'of', 'the', 'spectral', 'properties', 'of', 'a', 'sample', 'of', '90', 'broad', 'line', 'emitting', 'sources', 'collected', 'at', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'database', 'by', 'focusing', 'our', 'attention', 'mainly', 'onto', 'the', 'balmer', 'series', 'of', 'hydrogen', 'emission', 'lines', 'which', 'is', 'the', 'dominant', 'feature', 'in', 'the', 'optical', 'wavelength', 'range', 'of', 'many', 'blr', 'spectra', 'we', 'extracted', 'several', 'flux', 'and', 'profile', 'measurements', 'which', 'we', 'related', 'to', 'other', 'source', 'properties', 'such', 'as', 'optical', 'continuum', 'luminosities', 'inferred', 'black', 'hole', 'masses', 'and', 'accretion', 'rates', 'using', 'the', 'boltzmann', 'plot', 'method', 'to', 'investigate', 'the', 'balmer', 'line', 'flux', 'ratios', 'as', 'a', 'function', 'of', 'the', 'line', 'profiles', 'we', 'found', 'that', 'broader', 'line', 'emitting', 'agn', 'typically', 'have', 'larger', 'h_alpha', 'h_beta', 'and', 'smaller', 'h_gamma', 'h_beta', 'and', 'h_delta', 'h_beta', 'line', 'ratios', 'with', 'the', 'help', 'of', 'some', 'recent', 'investigations', 'we', 'model', 'the', 'structure', 'of', 'the', 'blr', 'and', 'we', 'study', 'the', 'influence', 'of', 'the', 'accretion', 'process', 'on', 'the', 'properties', 'of', 'the', 'blr', 'plasma']] | [-0.021190910639352693, 0.020533350529149175, -0.0007323882550142868, 0.08289297410695563, -0.09222740322508363, -0.07072576228529215, 0.08345041851862334, 0.48275140779214387, -0.16016374442361944, -0.3184122041920605, 0.07573763311096549, -0.3118462783547685, 0.006351220239277767, 0.23221463299958725, 0.017816983269490858, 0.018593078097657544, -0.023506930065037603, -0.1055262419217995, -0.03701068209446258, -0.18355183485191842, 0.3472869111346486, 0.08993811091489118, 0.24505893910637774, 0.04253513877958302, 0.014274803040873097, -0.08140456544377071, -0.09461334000250486, 0.0034709314236154214, -0.15477224332121492, 0.12726809194268557, 0.238449355764517, 0.15984645128660108, 0.21258173350614254, -0.3251660040403136, -0.24584826937327464, 0.08342641587288475, 0.19101713517296087, 0.049100671134352604, -0.024297396326564132, -0.27927066395995614, 0.021187053637771423, -0.14723221450011528, -0.15335559138633392, 0.06715947000876717, 0.04296468422145826, 0.05724572559752825, -0.18364708332196839, 0.07051154938728912, 0.05973968238749481, 0.11761782092609159, -0.09043517681193011, -0.09672430674380968, -0.07255314330636199, 0.08334771699130374, 0.05241702399112198, -0.002707258618497492, 0.2424338925731085, -0.13276063057634493, -0.030961353597851248, 0.395817150721205, -0.08305029728786473, -0.011364102616663213, 0.16636087197263766, -0.2246026495957504, -0.14875111629194376, 0.2218969460917161, 0.19264470103055076, 0.14626115016669602, -0.12565430359814933, 0.0019905733146436473, -0.07962911304481246, 0.22668870405101663, -0.0006855116412423187, 0.08875940470866424, 0.2767204437101179, 0.06662845606004576, -0.024132372926902936, 0.1315514374475005, -0.2327044973309334, -0.05760782520013416, -0.27563502306736115, -0.0671237025779429, -0.11627228672960369, 0.07672480425389949, -0.1196448824582109, -0.132789469028427, 0.39553925789178995, 0.13582638172817457, 0.27882611624638387, 0.03150968691561897, 0.28764383121312637, 0.11731623496566697, 0.08422521608071806, 0.05682871660025304, 0.31972946237589855, 0.16518518714861863, 0.1457472001404866, -0.2607154651866396, 0.03129354240081739, 0.04194517982819968] |
708.433 | Radio morphology and spectral analysis of cD galaxies in rich and poor
galaxy clusters | We present a radio morphological study and spectral analysis for a sample of
13 cD galaxies in rich and poor clusters of galaxies.} Our study is based on
new high sensitivity Giant Metrewave Radio Telescope (GMRT) observations at
1.28 GHz, 610 MHz and 235 MHz, and on archival data. From a statistical sample
of cluster cD galaxies we selected those sources with little information
available in the literature and promising for the detection of aged radio
emission. Beyond the high sensitivity images for all 13 radio galaxies, we
present also a detailed spectral analysis for 7 of them. We found a variety of
morphologies and linear sizes, as typical for radio galaxies in the radio power
range sampled here (low to intermediate power radio galaxies). The spectral
analysis shows that 10/13 radio galaxies have steep radio spectrum, with
spectral index $\alpha \ge 1$. In general, the radiative ages and growth
velocities are consistent with previous findings that the evolution of radio
galaxies at the cluster centres is affected by the dense external medium (i.e.
low growth velocities and old ages. We suggest that the dominant galaxies in A
2622 and MKW 03s are dying radio sources, which at present are not fed by
nuclear activity. On the other hand, the spectacular source at the centre of A
2372 might be a very interesting example of restarted radio galaxy. For this
source we estimated a life cycle of the order of 10$^6$ yr.
| astro-ph | we present a radio morphological study and spectral analysis for a sample of 13 cd galaxies in rich and poor clusters of galaxies our study is based on new high sensitivity giant metrewave radio telescope gmrt observations at 128 ghz 610 mhz and 235 mhz and on archival data from a statistical sample of cluster cd galaxies we selected those sources with little information available in the literature and promising for the detection of aged radio emission beyond the high sensitivity images for all 13 radio galaxies we present also a detailed spectral analysis for 7 of them we found a variety of morphologies and linear sizes as typical for radio galaxies in the radio power range sampled here low to intermediate power radio galaxies the spectral analysis shows that 1013 radio galaxies have steep radio spectrum with spectral index alpha ge 1 in general the radiative ages and growth velocities are consistent with previous findings that the evolution of radio galaxies at the cluster centres is affected by the dense external medium ie low growth velocities and old ages we suggest that the dominant galaxies in a 2622 and mkw 03s are dying radio sources which at present are not fed by nuclear activity on the other hand the spectacular source at the centre of a 2372 might be a very interesting example of restarted radio galaxy for this source we estimated a life cycle of the order of 106 yr | [['we', 'present', 'a', 'radio', 'morphological', 'study', 'and', 'spectral', 'analysis', 'for', 'a', 'sample', 'of', '13', 'cd', 'galaxies', 'in', 'rich', 'and', 'poor', 'clusters', 'of', 'galaxies', 'our', 'study', 'is', 'based', 'on', 'new', 'high', 'sensitivity', 'giant', 'metrewave', 'radio', 'telescope', 'gmrt', 'observations', 'at', '128', 'ghz', '610', 'mhz', 'and', '235', 'mhz', 'and', 'on', 'archival', 'data', 'from', 'a', 'statistical', 'sample', 'of', 'cluster', 'cd', 'galaxies', 'we', 'selected', 'those', 'sources', 'with', 'little', 'information', 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708.4331 | Structure and finiteness properties of subdirect products of groups | We investigate the structure of subdirect products of groups, particularly
their finiteness properties. We pay special attention to the subdirect products
of free groups, surface groups and HNN extensions. We prove that a finitely
presented subdirect product of free and surface groups virtually contains a
term of the lower central series of the direct product or else fails to
intersect one of the direct summands. This leads to a characterization of the
finitely presented subgroups of the direct product of 3 free or surface groups,
and to a solution to the conjugacy problem for arbitrary finitely presented
subgroups of direct products of surface groups. We obtain a formula for the
first homology of a subdirect product of two free groups and use it to show
there is no algorithm to determine the first homology of a finitely generated
subgroup.
| math.GR | we investigate the structure of subdirect products of groups particularly their finiteness properties we pay special attention to the subdirect products of free groups surface groups and hnn extensions we prove that a finitely presented subdirect product of free and surface groups virtually contains a term of the lower central series of the direct product or else fails to intersect one of the direct summands this leads to a characterization of the finitely presented subgroups of the direct product of 3 free or surface groups and to a solution to the conjugacy problem for arbitrary finitely presented subgroups of direct products of surface groups we obtain a formula for the first homology of a subdirect product of two free groups and use it to show there is no algorithm to determine the first homology of a finitely generated subgroup | [['we', 'investigate', 'the', 'structure', 'of', 'subdirect', 'products', 'of', 'groups', 'particularly', 'their', 'finiteness', 'properties', 'we', 'pay', 'special', 'attention', 'to', 'the', 'subdirect', 'products', 'of', 'free', 'groups', 'surface', 'groups', 'and', 'hnn', 'extensions', 'we', 'prove', 'that', 'a', 'finitely', 'presented', 'subdirect', 'product', 'of', 'free', 'and', 'surface', 'groups', 'virtually', 'contains', 'a', 'term', 'of', 'the', 'lower', 'central', 'series', 'of', 'the', 'direct', 'product', 'or', 'else', 'fails', 'to', 'intersect', 'one', 'of', 'the', 'direct', 'summands', 'this', 'leads', 'to', 'a', 'characterization', 'of', 'the', 'finitely', 'presented', 'subgroups', 'of', 'the', 'direct', 'product', 'of', '3', 'free', 'or', 'surface', 'groups', 'and', 'to', 'a', 'solution', 'to', 'the', 'conjugacy', 'problem', 'for', 'arbitrary', 'finitely', 'presented', 'subgroups', 'of', 'direct', 'products', 'of', 'surface', 'groups', 'we', 'obtain', 'a', 'formula', 'for', 'the', 'first', 'homology', 'of', 'a', 'subdirect', 'product', 'of', 'two', 'free', 'groups', 'and', 'use', 'it', 'to', 'show', 'there', 'is', 'no', 'algorithm', 'to', 'determine', 'the', 'first', 'homology', 'of', 'a', 'finitely', 'generated', 'subgroup']] | [-0.1786553701318854, 0.0893838929909402, -0.1036468846790439, 0.06860359153113992, -0.07967562938658454, -0.0753858390920829, 0.04879000602480989, 0.3865819296015681, -0.33622441877671283, -0.22598729912432836, 0.13607143516913592, -0.25358557363925166, -0.07929043780020673, 0.24284733503909528, -0.09802844519425424, -0.050363904347629856, 0.08512143658896199, 0.145960809203977, -0.07345735267468011, -0.27190633004082354, 0.3911460080425248, -0.0458918894832056, 0.2306774165816337, 0.07868451494120544, 0.09656936885695235, 0.030564101426292668, -0.0933021462971358, -0.030768056085212624, -0.1701372602501513, 0.15960198173738294, 0.26014296943656834, 0.07078252719479057, 0.23487617167738006, -0.39377812710222154, -0.14256390209624664, 0.2244737971734872, 0.10411214650936908, 0.01586710157964995, -0.08852016250602901, -0.23808086497320546, 0.10708315239334815, -0.28068671885395435, -0.10937528643864307, -0.05252835710311858, 0.0639734902132718, -0.010031784757328547, -0.2060572933393075, 0.027266838875927513, 0.06739264325969083, 0.07145184378990595, -0.0719102861212312, -0.09494340315246753, -0.06024592009326108, 0.2007366582623971, 0.0617181554741541, -0.08724904463964803, 0.11973627684168893, -0.08784866921596142, -0.12383498829745909, 0.4413062425316881, -0.03991563263744544, -0.19922119119747295, 0.20961736989535873, -0.19881596256771106, -0.18358660973742497, 0.16568222068159727, 0.0948892717765604, 0.16376427362384877, -0.038997817583961696, 0.1449019869491324, -0.11435160186248931, 0.08860410584753259, 0.0805720347850818, -0.031908631787916794, 0.10789530714906806, 0.07856920125003126, 0.12330592762035646, 0.17811257586472753, 0.06544818124807567, 0.05348413880150631, -0.3439744064222566, -0.260158995087694, -0.116401444664962, 0.07806184494251506, -0.05818390186495825, -0.2509526910926986, 0.4244160968073302, 0.02842657497527895, 0.11873492600208671, 0.09950502751488909, 0.2506940214284997, 0.020259138019152467, 0.08920046618616999, 0.02939965326687415, 0.09807890203359315, 0.2522401775236798, -0.12629010441223923, -0.09612546412930857, -0.019893588454683694, 0.17763649173777737] |
708.4332 | Confining vacua and Q-state Potts models with Q<1 | In most Yang-Mills models the vacuum where magnetic monopoles condense
coincides with that where center vortices percolate, thus it is not clear which
of these two properties is most directly involved in producing confinement. It
is pointed out that there is a class of 3D gauge models, which can be though of
as duals of Q-state Potts models with Q < 1, where the magnetic monopole
condensation is a necessary but not sufficient condition for percolation of
center vortices. A set of numerical tests at Q=1/10 shows that there is a
vacuum in which the magnetic monopole condensate does not yield confinement, in
the sense that large Wilson loops obey a perimeter law. In such a vacuum the
center vortices form a dilute gas of loops. At stronger coupling there is also
a truly confining vacuum where both confining mechanisms are present.
| hep-lat cond-mat.stat-mech hep-th | in most yangmills models the vacuum where magnetic monopoles condense coincides with that where center vortices percolate thus it is not clear which of these two properties is most directly involved in producing confinement it is pointed out that there is a class of 3d gauge models which can be though of as duals of qstate potts models with q 1 where the magnetic monopole condensation is a necessary but not sufficient condition for percolation of center vortices a set of numerical tests at q110 shows that there is a vacuum in which the magnetic monopole condensate does not yield confinement in the sense that large wilson loops obey a perimeter law in such a vacuum the center vortices form a dilute gas of loops at stronger coupling there is also a truly confining vacuum where both confining mechanisms are present | [['in', 'most', 'yangmills', 'models', 'the', 'vacuum', 'where', 'magnetic', 'monopoles', 'condense', 'coincides', 'with', 'that', 'where', 'center', 'vortices', 'percolate', 'thus', 'it', 'is', 'not', 'clear', 'which', 'of', 'these', 'two', 'properties', 'is', 'most', 'directly', 'involved', 'in', 'producing', 'confinement', 'it', 'is', 'pointed', 'out', 'that', 'there', 'is', 'a', 'class', 'of', '3d', 'gauge', 'models', 'which', 'can', 'be', 'though', 'of', 'as', 'duals', 'of', 'qstate', 'potts', 'models', 'with', 'q', '1', 'where', 'the', 'magnetic', 'monopole', 'condensation', 'is', 'a', 'necessary', 'but', 'not', 'sufficient', 'condition', 'for', 'percolation', 'of', 'center', 'vortices', 'a', 'set', 'of', 'numerical', 'tests', 'at', 'q110', 'shows', 'that', 'there', 'is', 'a', 'vacuum', 'in', 'which', 'the', 'magnetic', 'monopole', 'condensate', 'does', 'not', 'yield', 'confinement', 'in', 'the', 'sense', 'that', 'large', 'wilson', 'loops', 'obey', 'a', 'perimeter', 'law', 'in', 'such', 'a', 'vacuum', 'the', 'center', 'vortices', 'form', 'a', 'dilute', 'gas', 'of', 'loops', 'at', 'stronger', 'coupling', 'there', 'is', 'also', 'a', 'truly', 'confining', 'vacuum', 'where', 'both', 'confining', 'mechanisms', 'are', 'present']] | [-0.14168373523948793, 0.23769417152812716, -0.07170778848495044, 0.07426128306521883, -0.04054235846979927, -0.17573010762294766, -6.728693974990371e-05, 0.3687144670609041, -0.16793059133936927, -0.24154750195890004, 0.07726331291710363, -0.24423415480340097, -0.11886623040739949, 0.13657965580437412, 0.006098936691695283, -0.009383394288771014, 0.003964970699108556, 0.0699868889010333, -0.02993800450803329, -0.2178210169142971, 0.31654672071020656, -0.006646824819002802, 0.2843195202410327, 0.10829936912620163, 0.0687028678154312, -0.0807798586501773, 0.09845357587567616, 0.08180880842809664, -0.10593699543106912, 0.021390818680326145, 0.1891222400823763, 0.030738335543688624, 0.21373379201436718, -0.42107762863317916, -0.21413773746091, 0.164006647085837, 0.18789876999122138, 0.12546727145239314, -0.06240206644110752, -0.2164834107483691, 0.09040391949461178, -0.11166687914028314, -0.14803670315114872, -0.07320397694641394, 0.042310454181299695, -0.006902496618588607, -0.307920532839386, 0.07250263425170655, 0.08157478786958712, 0.055360884537775046, -0.06816120898674724, -0.05660062670750636, -0.07328445411036254, 0.08892488433708641, 0.06444012851401476, 0.0926114143341357, 0.14515322245036563, -0.20971781695063443, -0.09585168257979874, 0.4161627167664098, -0.027546979576524293, -0.19284883076787418, 0.19535755351060302, -0.20942641572419105, -0.14499126462239428, 0.16617940419702584, 0.07782907699480825, 0.10966811555460243, -0.10763359032340136, 0.11370542007399366, -0.09995253510271193, 0.15815647753659, 0.0732942623522212, 0.012752481042704683, 0.30455859701961596, 0.13878893081746096, 0.06889020588830219, 0.13180055990996803, -0.04319097460016397, -0.13486510152096284, -0.37588585207753994, -0.13312297898958972, -0.197537240785289, 0.0641955459008038, -0.058795047636599616, -0.2329397989149661, 0.2964205412171015, 0.14211189502467078, 0.20377000163995385, -0.008476179526583787, 0.2271959337386045, 0.0944166034423946, 0.1407078562687475, 0.11083951459352112, 0.2679863122840088, 0.1485056465042504, 0.09830745971094526, -0.21223468487382147, -0.043457963579856124, 0.1020424211602526] |
708.4333 | Projective Ring Line of a Specific Qudit | A very particular connection between the commutation relations of the
elements of the generalized Pauli group of a $d$-dimensional qudit, $d$ being a
product of distinct primes, and the structure of the projective line over the
(modular) ring $\bZ_{d}$ is established, where the integer exponents of the
generating shift ($X$) and clock ($Z$) operators are associated with submodules
of $\bZ^{2}_{d}$. Under this correspondence, the set of operators commuting
with a given one -- a perp-set -- represents a $\bZ_{d}$-submodule of
$\bZ^{2}_{d}$. A crucial novel feature here is that the operators are also
represented by {\it non}-admissible pairs of $\bZ^{2}_{d}$. This additional
degree of freedom makes it possible to view any perp-set as a {\it
set-theoretic} union of the corresponding points of the associated projective
line.
| quant-ph math-ph math.MP | a very particular connection between the commutation relations of the elements of the generalized pauli group of a ddimensional qudit d being a product of distinct primes and the structure of the projective line over the modular ring bz_d is established where the integer exponents of the generating shift x and clock z operators are associated with submodules of bz2_d under this correspondence the set of operators commuting with a given one a perpset represents a bz_dsubmodule of bz2_d a crucial novel feature here is that the operators are also represented by it nonadmissible pairs of bz2_d this additional degree of freedom makes it possible to view any perpset as a it settheoretic union of the corresponding points of the associated projective line | [['a', 'very', 'particular', 'connection', 'between', 'the', 'commutation', 'relations', 'of', 'the', 'elements', 'of', 'the', 'generalized', 'pauli', 'group', 'of', 'a', 'ddimensional', 'qudit', 'd', 'being', 'a', 'product', 'of', 'distinct', 'primes', 'and', 'the', 'structure', 'of', 'the', 'projective', 'line', 'over', 'the', 'modular', 'ring', 'bz_d', 'is', 'established', 'where', 'the', 'integer', 'exponents', 'of', 'the', 'generating', 'shift', 'x', 'and', 'clock', 'z', 'operators', 'are', 'associated', 'with', 'submodules', 'of', 'bz2_d', 'under', 'this', 'correspondence', 'the', 'set', 'of', 'operators', 'commuting', 'with', 'a', 'given', 'one', 'a', 'perpset', 'represents', 'a', 'bz_dsubmodule', 'of', 'bz2_d', 'a', 'crucial', 'novel', 'feature', 'here', 'is', 'that', 'the', 'operators', 'are', 'also', 'represented', 'by', 'it', 'nonadmissible', 'pairs', 'of', 'bz2_d', 'this', 'additional', 'degree', 'of', 'freedom', 'makes', 'it', 'possible', 'to', 'view', 'any', 'perpset', 'as', 'a', 'it', 'settheoretic', 'union', 'of', 'the', 'corresponding', 'points', 'of', 'the', 'associated', 'projective', 'line']] | [-0.21027241845053335, 0.11969073368948384, -0.056188945696989366, 0.016610961140918524, -0.0580687418499238, -0.14284455966327556, 0.0555478940036702, 0.30923015139477467, -0.29406488305804407, -0.19721133714495612, 0.061066542879085646, -0.2803308206710441, -0.13459354341953747, 0.169814437327614, -0.047845033120579465, 0.007985828382786641, 0.0323437915456843, 0.11556890388673619, -0.11467919666329707, -0.23421946767725296, 0.4075609095671699, -0.003005075958280339, 0.21606112668321523, -0.008675921545267752, 0.14943159844683992, 0.008067182764797742, -0.014957709919588164, 0.00595974835975111, -0.06418857998475634, 0.17585587985659681, 0.259471342721877, 0.12928612504062081, 0.21129056963153675, -0.34042666737021, -0.14231149976965318, 0.181149509119655, 0.09228240517314432, 0.025783896892647113, 0.012871554417704994, -0.26599533753450344, 0.06245080424734384, -0.16178973916880035, -0.15787691558703534, -0.041188312756005395, 0.07392128033963732, 0.02197758270011953, -0.2750792786477072, 0.020403670479710916, 0.09976352030826995, 0.11261167313349395, -0.013648147504268722, -0.08422728533248518, -0.06809001214886931, 0.09327903844816379, -0.034743568209607986, 0.045192794220075626, 0.05038564993272543, -0.09278065414929931, -0.12478330161437885, 0.39041619720938037, 0.001980876973406835, -0.2122850838167331, 0.14412149989088488, -0.1466297330758111, -0.12895376450759322, 0.11363029491910634, 0.08208323520808365, 0.1209509105590934, -0.09873095327316714, 0.1454207403614178, -0.13371028929702505, 0.12758070397987376, 0.08972629609956476, 0.06640045631538369, 0.18478615210999635, 0.09399366072255902, 0.07386325258970422, 0.13288572106571975, -0.03343610560679269, -0.060167751821962545, -0.38170166806248595, -0.20931863404179285, -0.17274137012167903, 0.11594543486548788, -0.12224572955044795, -0.1699319030658519, 0.4186291397541515, 0.07732247237081462, 0.24265167515865366, 0.03335173337620275, 0.21885713306832905, 0.10081245652835312, 0.1083525234433122, 0.030357601067189835, 0.13166249252293905, 0.19589394651361056, -0.014014139624258641, -0.16792571267367087, 0.014148102538306112, 0.12467748723146775] |
708.4334 | Hard Discs on the Hyperbolic Plane | We examine a simple hard disc fluid with no long range interactions on the
two dimensional space of constant negative Gaussian curvature, the hyperbolic
plane. This geometry provides a natural mechanism by which global crystalline
order is frustrated, allowing us to construct a tractable model of disordered
monodisperse hard discs. We extend free area theory and the virial expansion to
this regime, deriving the equation of state for the system, and compare its
predictions with simulation near an isostatic packing in the curved space.
| cond-mat.stat-mech cond-mat.soft | we examine a simple hard disc fluid with no long range interactions on the two dimensional space of constant negative gaussian curvature the hyperbolic plane this geometry provides a natural mechanism by which global crystalline order is frustrated allowing us to construct a tractable model of disordered monodisperse hard discs we extend free area theory and the virial expansion to this regime deriving the equation of state for the system and compare its predictions with simulation near an isostatic packing in the curved space | [['we', 'examine', 'a', 'simple', 'hard', 'disc', 'fluid', 'with', 'no', 'long', 'range', 'interactions', 'on', 'the', 'two', 'dimensional', 'space', 'of', 'constant', 'negative', 'gaussian', 'curvature', 'the', 'hyperbolic', 'plane', 'this', 'geometry', 'provides', 'a', 'natural', 'mechanism', 'by', 'which', 'global', 'crystalline', 'order', 'is', 'frustrated', 'allowing', 'us', 'to', 'construct', 'a', 'tractable', 'model', 'of', 'disordered', 'monodisperse', 'hard', 'discs', 'we', 'extend', 'free', 'area', 'theory', 'and', 'the', 'virial', 'expansion', 'to', 'this', 'regime', 'deriving', 'the', 'equation', 'of', 'state', 'for', 'the', 'system', 'and', 'compare', 'its', 'predictions', 'with', 'simulation', 'near', 'an', 'isostatic', 'packing', 'in', 'the', 'curved', 'space']] | [-0.13356830978522166, 0.14258214622514925, -0.08307184218886375, 0.0720358425959213, -0.10217787009397787, -0.12421259947032445, 0.02111764029749403, 0.3681218579544553, -0.2685375971154177, -0.2680489933783455, 0.07860342574366812, -0.25887365059350576, -0.11293786191492386, 0.14372327302615823, -0.011658492442663936, 0.05863733122809901, -0.011178197560920602, -0.01302412906495322, -0.0689458117371292, -0.21997394491474898, 0.31004255740637227, 0.04974182039066883, 0.2226269941117304, 0.022860888197707634, 0.1144036517888751, 0.04396966187604925, 0.035356131459896765, 0.0627062731260334, -0.2633770178699273, 0.12489711519308566, 0.20169875171545537, -0.018449872560311286, 0.2216527157413241, -0.4081527549729106, -0.2554037637587282, 0.10699610674886831, 0.12025322528400768, 0.10456344448002278, -0.018592262281648193, -0.2321873513227772, 0.03693187864319909, -0.16988043312726187, -0.19159645609934592, -0.09755240027083173, -0.007467815170197615, -0.05350899351539001, -0.22358346016456684, 0.09664709794396047, 0.07284822582455706, 0.012316150213813498, -0.10243211054780875, -0.0218091448921422, -0.002615264749952725, 0.09854157644301831, 0.013092006962757469, 0.03940208731330044, 0.1362702160840854, -0.13215288103648554, -0.0691259109562019, 0.4002014926324288, -0.04563250768946351, -0.20230406017175742, 0.23508120021073237, -0.16943328988383569, -0.093905164135365, 0.18023418143968142, 0.1834505454060577, 0.1111506322354433, -0.11569855450874283, 0.1271293539362627, -0.07270824076009116, 0.18945102139730893, 0.05117888656622242, -0.05204591447337797, 0.23445020627141708, 0.1755389752132552, 0.0760059333739004, 0.20501309060048134, -0.0601684261075986, -0.17617440363392234, -0.2802230891566502, -0.15338299217234766, -0.17593528558306085, 0.05025853950341809, -0.1634432666299593, -0.23750876420221867, 0.3327885650297893, 0.08865570384174741, 0.20467486811269606, 0.0913970927732797, 0.27816178498878363, 0.08581505801010367, -0.005172503117050621, 0.08743942212424285, 0.25152321551216855, 0.17017096968179213, 0.09054094418284617, -0.184653711521865, -0.004392131167973969, 0.0677456970747915] |
708.4335 | Random wave functions and percolation | Recently it was conjectured that nodal domains of random wave functions are
adequately described by critical percolation theory. In this paper we
strengthen this conjecture in two respects. First, we show that, though wave
function correlations decay slowly, a careful use of Harris' criterion confirms
that these correlations are unessential and nodal domains of random wave
functions belong to the same universality class as non critical percolation.
Second, we argue that level domains of random wave functions are described by
the non-critical percolation model.
| nlin.CD | recently it was conjectured that nodal domains of random wave functions are adequately described by critical percolation theory in this paper we strengthen this conjecture in two respects first we show that though wave function correlations decay slowly a careful use of harris criterion confirms that these correlations are unessential and nodal domains of random wave functions belong to the same universality class as non critical percolation second we argue that level domains of random wave functions are described by the noncritical percolation model | [['recently', 'it', 'was', 'conjectured', 'that', 'nodal', 'domains', 'of', 'random', 'wave', 'functions', 'are', 'adequately', 'described', 'by', 'critical', 'percolation', 'theory', 'in', 'this', 'paper', 'we', 'strengthen', 'this', 'conjecture', 'in', 'two', 'respects', 'first', 'we', 'show', 'that', 'though', 'wave', 'function', 'correlations', 'decay', 'slowly', 'a', 'careful', 'use', 'of', 'harris', 'criterion', 'confirms', 'that', 'these', 'correlations', 'are', 'unessential', 'and', 'nodal', 'domains', 'of', 'random', 'wave', 'functions', 'belong', 'to', 'the', 'same', 'universality', 'class', 'as', 'non', 'critical', 'percolation', 'second', 'we', 'argue', 'that', 'level', 'domains', 'of', 'random', 'wave', 'functions', 'are', 'described', 'by', 'the', 'noncritical', 'percolation', 'model']] | [-0.15272019641096926, 0.1748132204520516, -0.07141547363079596, 0.12521779432704316, -0.02840950901043557, -0.1383567066985138, 0.035092771225165395, 0.3454293533078661, -0.23637132281215772, -0.2043551066779487, 0.05307319344830744, -0.28771453935907976, -0.24489374274742745, 0.14765745456541135, 0.022739130926008027, 0.12091106054417435, -0.014832386381125875, -0.023608019775045768, -0.06747918512250874, -0.2594217299261973, 0.4092119045588853, -0.05740442300157156, 0.3037823468136291, 0.08068356288796556, -0.005841961402222209, 0.03625293806128736, 0.026901531970084068, 0.04744476558906691, -0.143699287571681, 0.04684093081214953, 0.22700470605022496, 0.09175586679096644, 0.2591221635008142, -0.3990157639075603, -0.2850184200908102, 0.09671353664071787, 0.16389251545271172, 0.11038342909887433, 0.026240556678246884, -0.287050333594726, 0.08775596585612566, -0.14434709905513696, -0.20887538011274523, -0.06123016541823745, 0.017176030020761703, 0.11782486661381665, -0.23761651740365086, 0.12242641092217084, 0.11765407256427265, 0.03567744379064867, -0.03657832092444767, -0.0741016602953009, -0.0123944515750433, 0.07978981248050418, 0.05373404130833002, 0.0920288004053873, 0.04717691623262085, -0.10184776068542435, -0.1653784273214461, 0.3137913853307033, -0.022889286856211367, -0.1858252618694678, 0.17044425091617518, -0.22840769325072566, -0.215984230012899, 0.1066913801062453, 0.1323051455519384, 0.09767577801609323, -0.13316731182913782, 0.07129803234437575, -0.08053437915250902, 0.11936671346692103, 0.08606495393905789, -0.012547666118258522, 0.18248040500717858, 0.12025916467176839, 0.058507789757901, 0.16988565964579938, -0.015091364831841063, -0.12354867884312712, -0.33117700684150414, -0.10453313635662198, -0.25293245714246515, 0.04368695723089678, -0.07123609152716069, -0.2376389320540641, 0.3819235956429371, 0.16025301093413008, 0.18828238275212547, 0.10029805859639532, 0.15408240203812187, 0.17675357305173142, 0.03366476717582416, 0.07856444845951739, 0.23948691462144434, 0.13267566654221377, 0.08075101773941978, -0.10102498195712022, 0.08171542283214096, 0.12394362164195627] |
708.4336 | Anti-phase Modulation of Electron- and Hole-like States in Vortex Core
of Bi2Sr2CaCu2Ox Probed by Scanning Tunneling Spectroscopy | In the vortex core of slightly overdoped Bi2Sr2CaCu2Ox, the electron-like and
hole-like states have been found to exhibit spatial modulations in anti-phase
with each other along the Cu-O bonding direction. Some kind of
one-dimensionality has been observed in the vortex core, and it is more clearly
seen in differential conductance maps at lower biases below +-9 mV.
| cond-mat.supr-con cond-mat.str-el | in the vortex core of slightly overdoped bi2sr2cacu2ox the electronlike and holelike states have been found to exhibit spatial modulations in antiphase with each other along the cuo bonding direction some kind of onedimensionality has been observed in the vortex core and it is more clearly seen in differential conductance maps at lower biases below 9 mv | [['in', 'the', 'vortex', 'core', 'of', 'slightly', 'overdoped', 'bi2sr2cacu2ox', 'the', 'electronlike', 'and', 'holelike', 'states', 'have', 'been', 'found', 'to', 'exhibit', 'spatial', 'modulations', 'in', 'antiphase', 'with', 'each', 'other', 'along', 'the', 'cuo', 'bonding', 'direction', 'some', 'kind', 'of', 'onedimensionality', 'has', 'been', 'observed', 'in', 'the', 'vortex', 'core', 'and', 'it', 'is', 'more', 'clearly', 'seen', 'in', 'differential', 'conductance', 'maps', 'at', 'lower', 'biases', 'below', '9', 'mv']] | [-0.1624820578880118, 0.16859513318999425, -0.06444556150879514, 0.06009189661371669, -0.05822894454263804, -0.19201136883675007, 0.042639233139261865, 0.40804993008312423, -0.2500669649524385, -0.30468592711054443, -0.0020535477077621117, -0.36077207536028144, -0.08061952055676987, 0.17034134963167863, -0.03355551056825278, -0.021867546754309155, -0.03513493784703314, 0.011690637129440642, -0.09925059908837602, -0.2110512090393489, 0.2834981722724542, -0.017027915300180513, 0.32119732121365113, 0.050552983350491174, 0.001554842281110356, -0.09264011845695214, 0.05221616694899766, 0.056832445442284406, -0.10640054924838376, 0.024229664056308633, 0.29607097307840985, -0.10286963913434495, 0.1843183983051986, -0.4388864123867008, -0.20917130148103624, 0.012465291501333317, 0.2109731293299742, 0.11977789121406283, -0.03875047384006616, -0.263311533682179, 0.08966872256796546, -0.10548201171485216, -0.13044963911045016, -0.012613168819562384, 0.04352277647622191, 0.009753869862802196, -0.1137279860446589, 0.15098770505242182, 0.09295811592356155, 0.09399742172344734, -0.0990383735563802, -0.19263085383072234, -0.1429879881948102, 0.028285259879275895, 0.06872443143654157, 0.06967725144012978, 0.12126249159898675, -0.07190415014823277, -0.10834110332162757, 0.2957626611868475, -0.023787629404595417, -0.09720845639771014, 0.1643924782412094, -0.263730797312108, -0.13992758114054277, 0.23266071380165063, 0.05600646920828966, 0.03019888208884942, -0.08098187536948867, 0.012851899471379033, -0.038439994661562275, 0.16982643370794362, 0.17520470691746787, 0.0646014792166585, 0.2604052534606716, 0.16483297914658723, 0.12975276667592034, 0.11510683985104327, -0.21608839819632603, -0.0687859809156834, -0.17024336903552084, -0.09855151656819017, -0.10940764234973151, -0.017910438140429426, -0.030985316048731636, -0.1458499979783307, 0.3981497279090578, 0.08001894920476173, 0.23759299724080943, -0.0857162401284369, 0.18739797276232326, 0.11228927584332332, 0.14303463751211734, 0.06869433398701642, 0.2893121787699209, 0.1629546202000296, 0.18646156062421046, -0.24986380512679093, 0.11603959883448847, -0.030260932615451645] |
708.4337 | A statistical approach to simultaneous mapping and localization for
mobile robots | Mobile robots require basic information to navigate through an environment:
they need to know where they are (localization) and they need to know where
they are going. For the latter, robots need a map of the environment. Using
sensors of a variety of forms, robots gather information as they move through
an environment in order to build a map. In this paper we present a novel
sampling algorithm to solving the simultaneous mapping and localization (SLAM)
problem in indoor environments. We approach the problem from a Bayesian
statistics perspective. The data correspond to a set of range finder and
odometer measurements, obtained at discrete time instants. We focus on the
estimation of the posterior distribution over the space of possible maps given
the data. By exploiting different factorizations of this distribution, we
derive three sampling algorithms based on importance sampling. We illustrate
the results of our approach by testing the algorithms with two real data sets
obtained through robot navigation inside office buildings at Carnegie Mellon
University and the Pontificia Universidad Catolica de Chile.
| stat.AP | mobile robots require basic information to navigate through an environment they need to know where they are localization and they need to know where they are going for the latter robots need a map of the environment using sensors of a variety of forms robots gather information as they move through an environment in order to build a map in this paper we present a novel sampling algorithm to solving the simultaneous mapping and localization slam problem in indoor environments we approach the problem from a bayesian statistics perspective the data correspond to a set of range finder and odometer measurements obtained at discrete time instants we focus on the estimation of the posterior distribution over the space of possible maps given the data by exploiting different factorizations of this distribution we derive three sampling algorithms based on importance sampling we illustrate the results of our approach by testing the algorithms with two real data sets obtained through robot navigation inside office buildings at carnegie mellon university and the pontificia universidad catolica de chile | [['mobile', 'robots', 'require', 'basic', 'information', 'to', 'navigate', 'through', 'an', 'environment', 'they', 'need', 'to', 'know', 'where', 'they', 'are', 'localization', 'and', 'they', 'need', 'to', 'know', 'where', 'they', 'are', 'going', 'for', 'the', 'latter', 'robots', 'need', 'a', 'map', 'of', 'the', 'environment', 'using', 'sensors', 'of', 'a', 'variety', 'of', 'forms', 'robots', 'gather', 'information', 'as', 'they', 'move', 'through', 'an', 'environment', 'in', 'order', 'to', 'build', 'a', 'map', 'in', 'this', 'paper', 'we', 'present', 'a', 'novel', 'sampling', 'algorithm', 'to', 'solving', 'the', 'simultaneous', 'mapping', 'and', 'localization', 'slam', 'problem', 'in', 'indoor', 'environments', 'we', 'approach', 'the', 'problem', 'from', 'a', 'bayesian', 'statistics', 'perspective', 'the', 'data', 'correspond', 'to', 'a', 'set', 'of', 'range', 'finder', 'and', 'odometer', 'measurements', 'obtained', 'at', 'discrete', 'time', 'instants', 'we', 'focus', 'on', 'the', 'estimation', 'of', 'the', 'posterior', 'distribution', 'over', 'the', 'space', 'of', 'possible', 'maps', 'given', 'the', 'data', 'by', 'exploiting', 'different', 'factorizations', 'of', 'this', 'distribution', 'we', 'derive', 'three', 'sampling', 'algorithms', 'based', 'on', 'importance', 'sampling', 'we', 'illustrate', 'the', 'results', 'of', 'our', 'approach', 'by', 'testing', 'the', 'algorithms', 'with', 'two', 'real', 'data', 'sets', 'obtained', 'through', 'robot', 'navigation', 'inside', 'office', 'buildings', 'at', 'carnegie', 'mellon', 'university', 'and', 'the', 'pontificia', 'universidad', 'catolica', 'de', 'chile']] | [-0.0889797263615497, 0.05378552520498446, -0.11834761334433296, 0.03298569970427017, -0.08907346122887456, -0.11413766422854929, 0.07150067662052147, 0.4185299959579675, -0.2623722375218018, -0.3625813844779656, 0.14467495171040104, -0.2697502652493616, -0.14735723855295058, 0.1994700550721241, -0.11866335576432276, 0.050331449473340964, 0.09228944252566273, 0.021745042500739126, -0.04152851765165801, -0.2461674655767575, 0.3044090179121657, 0.04527939190210282, 0.2804043345131922, -0.018363971370218814, 0.15813756645483168, 0.052102175981041186, -0.04743949959225867, -0.023921854881838702, -0.12887061069098613, 0.13273530119318172, 0.3211217342177406, 0.2086895844610087, 0.29196578095099707, -0.4248593832826477, -0.1644121448659263, 0.13091327605672695, 0.14158055728472685, 0.0837078116994402, -0.04254014991443262, -0.38029261842241574, 0.051386242063352086, -0.15059777565471744, -0.08115631495548904, -0.05000244676745657, -0.05209854135461066, 0.021301002962910837, -0.27381172520911384, -0.03762411140306885, -0.011456246297952355, 0.0994738794263752, -0.06607511135128637, -0.05932751231313009, 0.0280829305980012, 0.2320540237759679, -0.026682562301813186, 0.012332738587236696, 0.15657495321497192, -0.12340523507285478, -0.11422669908684817, 0.3898555889763152, 0.0100671173355692, -0.20080668973768578, 0.20480937339651836, -0.11686927865288788, -0.16169590916987722, 0.09730423680752859, 0.23827795609135993, 0.11912826708806999, -0.17147860604862886, 0.07607226240737684, -0.025919957542069386, 0.11207527344398757, 0.031103978975911505, -0.034379514388834735, 0.1827956265983996, 0.1682892539699016, 0.11420169773500884, 0.08314132055765468, -0.10839295232114543, -0.08323873270432808, -0.25474039656805925, -0.1264202410713823, -0.21064918648836942, -0.01866000576527527, -0.07451455280600897, -0.12818826287021412, 0.3462687757604852, 0.22186404050745326, 0.20260227577032885, 0.09058889275116996, 0.31914934157340347, 0.044879523016349815, 0.03955254934182198, 0.09547095644641025, 0.1539015992003996, 0.039398773094296624, 0.1496208880796504, -0.1367153399342928, 0.041604172513317106, 0.04228440266110581] |
708.4338 | Search for exoplanets with the radial-velocity technique: quantitative
diagnostics of stellar activity | Aims: Stellar activity may complicate the analysis of high-precision
radial-velocity spectroscopic data when looking for exoplanets signatures. We
aim at quantifying the impact of stellar spots on stars with various spectral
types and rotational velocities and comparing the simulations with data
obtained with the HARPS spectrograph. Methods: We have developed detailed
simulations of stellar spots and estimated their effects on a number of
observables commonly used in the analysis of radial-velocity data when looking
for extrasolar planets, such as radial-velocity curves, cross-correlation
functions, bisector spans and photometric curves. The computed stellar spectra
are then analyzed in the same way as when searching for exoplanets. Results: 1)
A first grid of simulation results is built for F-K type stars, with different
stellar and spot properties. 2) It is shown quantitatively that star spots with
typical sizes of 1% can mimic both radial-velocity curves and the bisector
behavior of short-period giant planets around G-K type stars with a vsini lower
than the spectrograph resolution. For stars with intermediate vsini, smaller
spots may produce similar features. In these cases, additional observables
(e.g., photometry, spectroscopic diagnostics) are mandatory to confirm the
presence of short-period planets. We show that, in some cases, photometric
variations may not be enough to clearly rule out spots as explanations of the
observed radial-velocity variations. This is particularly important when
searching for super-Earth planets. 3) It is also stressed that quantitative
values obtained for radial-velocity and bisector span amplitudes depend
strongly on the detailed star properties, on the spectrograph used, on the set
of lines used, and on the way they are measured.
| astro-ph | aims stellar activity may complicate the analysis of highprecision radialvelocity spectroscopic data when looking for exoplanets signatures we aim at quantifying the impact of stellar spots on stars with various spectral types and rotational velocities and comparing the simulations with data obtained with the harps spectrograph methods we have developed detailed simulations of stellar spots and estimated their effects on a number of observables commonly used in the analysis of radialvelocity data when looking for extrasolar planets such as radialvelocity curves crosscorrelation functions bisector spans and photometric curves the computed stellar spectra are then analyzed in the same way as when searching for exoplanets results 1 a first grid of simulation results is built for fk type stars with different stellar and spot properties 2 it is shown quantitatively that star spots with typical sizes of 1 can mimic both radialvelocity curves and the bisector behavior of shortperiod giant planets around gk type stars with a vsini lower than the spectrograph resolution for stars with intermediate vsini smaller spots may produce similar features in these cases additional observables eg photometry spectroscopic diagnostics are mandatory to confirm the presence of shortperiod planets we show that in some cases photometric variations may not be enough to clearly rule out spots as explanations of the observed radialvelocity variations this is particularly important when searching for superearth planets 3 it is also stressed that quantitative values obtained for radialvelocity and bisector span amplitudes depend strongly on the detailed star properties on the spectrograph used on the set of lines used and on the way they are measured | [['aims', 'stellar', 'activity', 'may', 'complicate', 'the', 'analysis', 'of', 'highprecision', 'radialvelocity', 'spectroscopic', 'data', 'when', 'looking', 'for', 'exoplanets', 'signatures', 'we', 'aim', 'at', 'quantifying', 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708.4339 | Astro Unparticle Physics | We investigate the effects of all flavor blind CP-conserving unparticle
operators on 5th force experiments, stellar cooling, supernova explosions and
compare the limits with each other and with those obtainable from collider
experiments. In general, astrophysical bounds are considerably stronger,
however they depend strongly on the dimension d_U of the unparticle operator.
While for d_U=1, 5th force experiments yield exceedingly strong bounds, the
bounds from stellar and supernova cooling are more comparable for d_U=2, with
stellar cooling being most restrictive. Bounds on vectorial unparticle
couplings are generally stronger than those on scalar ones.
| hep-ph | we investigate the effects of all flavor blind cpconserving unparticle operators on 5th force experiments stellar cooling supernova explosions and compare the limits with each other and with those obtainable from collider experiments in general astrophysical bounds are considerably stronger however they depend strongly on the dimension d_u of the unparticle operator while for d_u1 5th force experiments yield exceedingly strong bounds the bounds from stellar and supernova cooling are more comparable for d_u2 with stellar cooling being most restrictive bounds on vectorial unparticle couplings are generally stronger than those on scalar ones | [['we', 'investigate', 'the', 'effects', 'of', 'all', 'flavor', 'blind', 'cpconserving', 'unparticle', 'operators', 'on', '5th', 'force', 'experiments', 'stellar', 'cooling', 'supernova', 'explosions', 'and', 'compare', 'the', 'limits', 'with', 'each', 'other', 'and', 'with', 'those', 'obtainable', 'from', 'collider', 'experiments', 'in', 'general', 'astrophysical', 'bounds', 'are', 'considerably', 'stronger', 'however', 'they', 'depend', 'strongly', 'on', 'the', 'dimension', 'd_u', 'of', 'the', 'unparticle', 'operator', 'while', 'for', 'd_u1', '5th', 'force', 'experiments', 'yield', 'exceedingly', 'strong', 'bounds', 'the', 'bounds', 'from', 'stellar', 'and', 'supernova', 'cooling', 'are', 'more', 'comparable', 'for', 'd_u2', 'with', 'stellar', 'cooling', 'being', 'most', 'restrictive', 'bounds', 'on', 'vectorial', 'unparticle', 'couplings', 'are', 'generally', 'stronger', 'than', 'those', 'on', 'scalar', 'ones']] | [-0.059697418234503384, 0.2276936887824179, -0.0035689631401075294, 0.194637813585122, -0.1616248653862504, -0.18675879205820028, -0.0006235979659401852, 0.32248477076949633, -0.13097189666080775, -0.3086631523809679, 0.09196079664473908, -0.3429798102107547, -0.04634767384065882, 0.3210537699152432, 0.06708880425076527, 0.016572609641234918, 0.08845164663279834, 0.03487770526882504, -0.09658348337246064, -0.2940499515389092, 0.3517794978764394, 0.08411707779716539, 0.20959960488076118, 0.08325801185413223, -0.004194326921487632, -0.08602496439024158, -0.07902400295374125, -0.06164652620867381, -0.14485175255686045, 0.09158606691609907, 0.15283790872965017, 0.09457435371587053, 0.12069574001488155, -0.44402380494157906, -0.20077397711777492, 0.1740980507735082, 0.14337765345471384, 0.08281543525188918, -0.04005857359484451, -0.3183049555543972, 0.022941346907907206, -0.15166668964894084, -0.025650147662457566, -0.049567215321788, -0.03926944991816645, 0.025224359142315654, -0.31065321182224737, 0.10774173270455441, 0.023900602438041697, 0.0661668230921192, -0.0688486083729557, -0.18804352442416333, -0.0413582995938866, 0.00764164398297789, 0.09462603535908072, 0.004770213479945517, 0.19113326107617468, -0.2086306685890557, -0.09282669962672314, 0.44112575754179095, -0.0985606542857093, -0.1636941834838818, 0.2609076887197064, -0.2334957789811913, -0.15253384489788796, 0.09093904365663943, 0.20753729619774158, 0.09626097217931048, -0.1337090692098212, 0.12534191951968038, -0.02095866498142562, 0.1196576081502312, 0.06931213990775058, 0.12495582722112886, 0.17359711642822492, 0.13634351885411888, 0.13864654064831405, 0.02499438456889829, -0.06086453133384171, -0.0798782296731825, -0.29416971582838375, -0.027153189896362954, -0.12531960664605518, 0.04896851234218996, -0.17883491954900976, -0.06153684734422511, 0.29630635793665017, 0.16119687393834087, 0.17693815290682402, 0.06909624635970787, 0.3177184505469125, 0.1097661384543323, 0.13018879120183713, 0.10404420720268441, 0.3828908817275711, 0.1358315575078292, 0.06487389763503376, -0.22982707074539654, 0.07402118110178929, 0.09427319905396712] |
708.434 | Uniqueness of the 2-universality Criterion | Kim, Kim, and Oh gave a minimal criterion for the 2-universality of
positive-definite integer-matrix quadratic forms. We show that this
2-universality criterion is unique in the sense of the uniqueness of the
Conway-Schneeberger Fifteen Theorem.
| math.NT | kim kim and oh gave a minimal criterion for the 2universality of positivedefinite integermatrix quadratic forms we show that this 2universality criterion is unique in the sense of the uniqueness of the conwayschneeberger fifteen theorem | [['kim', 'kim', 'and', 'oh', 'gave', 'a', 'minimal', 'criterion', 'for', 'the', '2universality', 'of', 'positivedefinite', 'integermatrix', 'quadratic', 'forms', 'we', 'show', 'that', 'this', '2universality', 'criterion', 'is', 'unique', 'in', 'the', 'sense', 'of', 'the', 'uniqueness', 'of', 'the', 'conwayschneeberger', 'fifteen', 'theorem']] | [-0.1634314256336759, 0.005631148952114231, -0.13324205916689927, 0.052441893501535934, -0.07847538108334821, -0.12566570185727494, 0.05783375347142711, 0.25769694682265465, -0.22812623146626934, -0.2676563390037593, 0.03334167552598314, -0.1881635118933285, -0.19478157094871515, 0.17679466263336294, -0.10881678357391673, 0.005490976604906952, 0.03278585285057917, 0.0035353101351681877, -0.08688085818635848, -0.3315423347384614, 0.32716278316151787, 0.028050548397004604, 0.2105028882403584, 0.12211079473662026, 0.12224881696088499, 0.006206854457131532, -0.049807745853767675, -0.061023938633939796, -0.21617324670253713, 0.11519626851248391, 0.2459199887987993, 0.1312482767354916, 0.2911085526951972, -0.27819710780921225, -0.14776396398049066, 0.15094263191499255, 0.01273516527212718, 0.06122159388135461, -0.03174097920932314, -0.22640494262690053, 0.14529654344283593, -0.12633782441673033, -0.2049755791256971, -0.06842938165509087, 0.05106779318713747, -0.00038405129795565326, -0.3056865959044765, 0.12347717490047216, 0.17721560111899368, 0.11032309101017959, -0.10720469769747819, -0.11447483758606455, -0.0552399745758842, 0.0006756568738423727, -0.017172402325634134, 0.022874634877285537, -0.01782495218931752, -0.05862725525409641, -0.12123712086844642, 0.2867340081754853, -0.08182932152960669, -0.17416980911922805, 0.17013970904928796, -0.08290901401436285, -0.16074627473512115, 0.09349507531699013, 0.026333791970768395, 0.14078424925751545, -0.11782150389626622, 0.16526047049795606, -0.19951716569416664, 0.04887792418765671, 0.1551702333997716, 0.009982802699703504, 0.09491698498673298, 0.024904184865162653, 0.1341925242313129, 0.15891603955670314, -0.014652548905681162, -0.06339827870183132, -0.32989438568406243, -0.24873942018294817, -0.14769441374194095, 0.08300323919598561, -0.06379028897251426, -0.1791831170592238, 0.38385889284750996, 0.028791193590115977, 0.173532665871522, 0.10807715791880208, 0.1654685219640241, 0.10290984897052541, 0.005837406826150768, 0.09709428443902117, 0.25062729929135563, 0.22778173471691415, 0.04914298850823851, -0.17401845634038396, 0.04773386982817422, 0.18950818202403538] |
708.4341 | Planetary nebulae, tracers of stellar nucleosynthesis | We review the information that planetary nebulae and their immediate
progenitors, the post-AGB objects, can provide to probe the nucleosynthesis and
mixing in low and intermediate mass stars. We emphasize new approaches based on
high signal-to-noise spectroscopy of planetary nebulae and of their central
stars. We mention some of the problems still to overcome. We emphasize that, as
found by several authors, planetary nebulae in low metallicity environments
cannot be used to probe the oxygen abundance in the interstellar medium out of
which their progenitors were formed, because of abundance modification during
stellar evolution.
| astro-ph | we review the information that planetary nebulae and their immediate progenitors the postagb objects can provide to probe the nucleosynthesis and mixing in low and intermediate mass stars we emphasize new approaches based on high signaltonoise spectroscopy of planetary nebulae and of their central stars we mention some of the problems still to overcome we emphasize that as found by several authors planetary nebulae in low metallicity environments cannot be used to probe the oxygen abundance in the interstellar medium out of which their progenitors were formed because of abundance modification during stellar evolution | [['we', 'review', 'the', 'information', 'that', 'planetary', 'nebulae', 'and', 'their', 'immediate', 'progenitors', 'the', 'postagb', 'objects', 'can', 'provide', 'to', 'probe', 'the', 'nucleosynthesis', 'and', 'mixing', 'in', 'low', 'and', 'intermediate', 'mass', 'stars', 'we', 'emphasize', 'new', 'approaches', 'based', 'on', 'high', 'signaltonoise', 'spectroscopy', 'of', 'planetary', 'nebulae', 'and', 'of', 'their', 'central', 'stars', 'we', 'mention', 'some', 'of', 'the', 'problems', 'still', 'to', 'overcome', 'we', 'emphasize', 'that', 'as', 'found', 'by', 'several', 'authors', 'planetary', 'nebulae', 'in', 'low', 'metallicity', 'environments', 'can', 'not', 'be', 'used', 'to', 'probe', 'the', 'oxygen', 'abundance', 'in', 'the', 'interstellar', 'medium', 'out', 'of', 'which', 'their', 'progenitors', 'were', 'formed', 'because', 'of', 'abundance', 'modification', 'during', 'stellar', 'evolution']] | [-0.04643719454148882, 0.12660414360855754, -0.07093055786466912, 0.12950782342323738, -0.12234258831870791, -0.033379512152781614, 0.07387003224146993, 0.4203096785435551, -0.18992653661652614, -0.38305972771424995, 0.04728941269537532, -0.24144201049287067, -0.04423614428623727, 0.19578162163348967, -0.09990500047018654, -0.0247341716196388, 0.10827309455918638, -0.09104470346141362, -0.05722385568078607, -0.29809534441875785, 0.32047645481009235, 0.08196533270376294, 0.08695810039184595, 0.039891794059229525, 0.03622145201998616, -0.14895774438781173, -0.07856702397724516, -0.052110343808798414, -0.15567204527339384, 0.04710387982930498, 0.2882283644848748, 0.19270590187393521, 0.19465133398771287, -0.43628662110943545, -0.22402210571852169, 0.06302344371613704, 0.2635104418389107, 0.08515236759925947, -0.1283878904387453, -0.25367625094950197, 0.0729076186195016, -0.18609397176064943, -0.1747695814867161, 0.0025357653435907866, 0.006833078937703057, 0.0850238804607407, -0.1887553665149761, 0.06349462449893747, 0.02086564700462316, 0.0886201343450107, -0.10951635661093813, -0.14399822922913652, -0.07854895344690273, 0.10121688956002656, 0.04041796244288746, -0.04362667015827212, 0.17093231584386606, -0.16594602866588454, 0.00636265566572547, 0.44897543821287783, -0.05353052771748289, -0.03194536009901448, 0.2842696724312478, -0.21670735562220217, -0.2145246419908577, 0.07692167160934524, 0.20227328051298268, 0.1722033762961234, -0.18531677269033694, -0.007616039796266705, 0.01936422078625152, 0.14784236059181, 0.08316176620949256, 0.12314826222626786, 0.3360621987989074, 0.10630882484348196, -0.007132706585291185, 0.047121167995378764, -0.17815770910513637, -0.04036919995162048, -0.18260546070768646, -0.1642159078270197, -0.11613136953429172, 0.07891977080649476, -0.1427333900012615, -0.1287047194513051, 0.3113983614419244, 0.19815008455005131, 0.20253426389964788, -0.06269992537870023, 0.29506279963411786, 0.07716863450324653, 0.07285944289331765, 0.08068303047238212, 0.3519334044469839, 0.21503521090765532, 0.13681294249958897, -0.25022277794778347, 0.16079841091199534, 0.009512283501068228] |
708.4342 | Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix
elements | We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model
using the method of separation of variables [nlin/0603028]. In this paper we
calculate the norms and matrix elements of a local Z_N-spin operator between
eigenvectors of the auxiliary problem. For the norm the multiple sums over the
intermediate states are performed explicitly. In the case N=2 we solve the
Baxter equation and obtain form-factors of the spin operator of the periodic
Ising model on a finite lattice.
| nlin.SI cond-mat.stat-mech math-ph math.MP | we continue our investigation of the z_nbaxterbazhanovstroganov model using the method of separation of variables nlin0603028 in this paper we calculate the norms and matrix elements of a local z_nspin operator between eigenvectors of the auxiliary problem for the norm the multiple sums over the intermediate states are performed explicitly in the case n2 we solve the baxter equation and obtain formfactors of the spin operator of the periodic ising model on a finite lattice | [['we', 'continue', 'our', 'investigation', 'of', 'the', 'z_nbaxterbazhanovstroganov', 'model', 'using', 'the', 'method', 'of', 'separation', 'of', 'variables', 'nlin0603028', 'in', 'this', 'paper', 'we', 'calculate', 'the', 'norms', 'and', 'matrix', 'elements', 'of', 'a', 'local', 'z_nspin', 'operator', 'between', 'eigenvectors', 'of', 'the', 'auxiliary', 'problem', 'for', 'the', 'norm', 'the', 'multiple', 'sums', 'over', 'the', 'intermediate', 'states', 'are', 'performed', 'explicitly', 'in', 'the', 'case', 'n2', 'we', 'solve', 'the', 'baxter', 'equation', 'and', 'obtain', 'formfactors', 'of', 'the', 'spin', 'operator', 'of', 'the', 'periodic', 'ising', 'model', 'on', 'a', 'finite', 'lattice']] | [-0.13184280168368584, 0.11158280485930543, -0.06506281285651817, 0.049759174663146645, 0.0014883122769080931, -0.055524854261117675, 0.05412146201221427, 0.3380991840321157, -0.293819777512302, -0.24349838858729023, 0.09506215211068694, -0.2956773241360982, -0.15487907162039644, 0.12794082801297513, 0.03826984161666284, 0.08222899886055125, 0.06299501669127494, 0.06507647113822815, -0.143967558157682, -0.23328351327735516, 0.35178830580359016, -0.0297979172383849, 0.21902815764769912, 0.04301509274066322, 0.11410601309034973, 0.05792985415610019, -0.019314789187370077, -0.04346365078688703, -0.09987612225490415, 0.16402322492002794, 0.2006457052807996, 0.07335745362151, 0.24123876156388885, -0.44164531615873176, -0.16049302901956253, 0.13717846598269212, 0.1418362509705023, 0.11474995432783747, 0.029377809636773437, -0.2671601245399668, 0.056494332772369184, -0.17728481449497244, -0.14933219426570254, -0.06673012322345231, -0.01913038079833819, 0.020294157503586676, -0.33330305906323093, 0.09710212386885865, 0.061869661511284195, 0.06625750626133392, -0.13176785745114708, -0.13630098552029166, 0.02841823935482858, 0.14201621468075448, 0.028858090954599902, -0.022216456942260265, 0.03524767879086236, -0.10203890004130597, -0.11334240232261233, 0.33595192440164584, -0.04174213716275214, -0.26011539162977393, 0.10501962289466367, -0.14370856752308706, -0.12125900383236715, 0.042666136106062263, 0.18800495002263537, 0.18586392949024835, -0.12484602513723075, 0.1468699638030052, -0.09854428022582498, 0.12890004956473908, 0.020331200917199668, 0.001172097192870246, 0.12668366908716658, 0.10357058591519792, 0.0654406479249398, 0.20174382178164604, -0.041047518442307286, -0.12095552131844063, -0.33155382170500364, -0.1677784854643202, -0.2066913644537433, 0.03741960399525447, -0.12411548995967475, -0.18935707938443455, 0.4540582462860685, 0.16733177001717398, 0.2128987092000898, 0.05875645009412741, 0.21448838963664862, 0.15614827312432075, 0.04217648717086478, 0.03995277968028353, 0.17688802082880606, 0.19866334320653956, 0.08942973992573873, -0.2885970368774401, -0.01510995394265693, 0.17023716224098784] |
708.4343 | Order preservation in a generalized version of Krause's opinion dynamics
model | Krause's model of opinion dynamics has recently been the object of several
studies, partly because it is one of the simplest multi-agent systems involving
position-dependent changing topologies. In this model, agents have an opinion
represented by a real number and they update it by averaging those agent
opinions distant from their opinion by less than a certain interaction radius.
Some results obtained on this model rely on the fact that the opinion orders
remain unchanged under iteration, a property that is consistent with the
intuition in models with simultaneous updating on a fully connected
communication topology. Several variations of this model have been proposed. We
show that some natural variations are not order preserving and therefore cause
potential problems with the theoretical analysis and the consistence with the
intuition. We consider a generic version of Krause's model parameterized by an
influence function that encapsulates most of the variations proposed in the
literature. We then derive a necessary and sufficient condition on this
function for the opinion order to be preserved.
| physics.soc-ph | krauses model of opinion dynamics has recently been the object of several studies partly because it is one of the simplest multiagent systems involving positiondependent changing topologies in this model agents have an opinion represented by a real number and they update it by averaging those agent opinions distant from their opinion by less than a certain interaction radius some results obtained on this model rely on the fact that the opinion orders remain unchanged under iteration a property that is consistent with the intuition in models with simultaneous updating on a fully connected communication topology several variations of this model have been proposed we show that some natural variations are not order preserving and therefore cause potential problems with the theoretical analysis and the consistence with the intuition we consider a generic version of krauses model parameterized by an influence function that encapsulates most of the variations proposed in the literature we then derive a necessary and sufficient condition on this function for the opinion order to be preserved | [['krauses', 'model', 'of', 'opinion', 'dynamics', 'has', 'recently', 'been', 'the', 'object', 'of', 'several', 'studies', 'partly', 'because', 'it', 'is', 'one', 'of', 'the', 'simplest', 'multiagent', 'systems', 'involving', 'positiondependent', 'changing', 'topologies', 'in', 'this', 'model', 'agents', 'have', 'an', 'opinion', 'represented', 'by', 'a', 'real', 'number', 'and', 'they', 'update', 'it', 'by', 'averaging', 'those', 'agent', 'opinions', 'distant', 'from', 'their', 'opinion', 'by', 'less', 'than', 'a', 'certain', 'interaction', 'radius', 'some', 'results', 'obtained', 'on', 'this', 'model', 'rely', 'on', 'the', 'fact', 'that', 'the', 'opinion', 'orders', 'remain', 'unchanged', 'under', 'iteration', 'a', 'property', 'that', 'is', 'consistent', 'with', 'the', 'intuition', 'in', 'models', 'with', 'simultaneous', 'updating', 'on', 'a', 'fully', 'connected', 'communication', 'topology', 'several', 'variations', 'of', 'this', 'model', 'have', 'been', 'proposed', 'we', 'show', 'that', 'some', 'natural', 'variations', 'are', 'not', 'order', 'preserving', 'and', 'therefore', 'cause', 'potential', 'problems', 'with', 'the', 'theoretical', 'analysis', 'and', 'the', 'consistence', 'with', 'the', 'intuition', 'we', 'consider', 'a', 'generic', 'version', 'of', 'krauses', 'model', 'parameterized', 'by', 'an', 'influence', 'function', 'that', 'encapsulates', 'most', 'of', 'the', 'variations', 'proposed', 'in', 'the', 'literature', 'we', 'then', 'derive', 'a', 'necessary', 'and', 'sufficient', 'condition', 'on', 'this', 'function', 'for', 'the', 'opinion', 'order', 'to', 'be', 'preserved']] | [-0.1081082482219619, 0.07176638569782132, -0.08331781752297983, 0.060563993803910254, -0.07398490799481378, -0.13879818887970247, 0.039875778176493064, 0.4082227874382892, -0.2486161276116036, -0.3031849555725999, 0.12428843239116866, -0.2546545260038008, -0.19152629202889168, 0.1503709583543241, -0.08473952944280909, 0.03348759252317798, 0.0672781564459643, 0.07141564810538993, -0.008521849808611853, -0.29373040494837743, 0.33246303321519755, 0.026741183434119995, 0.24677047944244215, 0.04352344077676261, 0.099729594369145, 0.010713415165596148, -0.01417637052534915, 0.060765255602104044, -0.11906164859452367, 0.11950492112116669, 0.18842801681905044, 0.1365824514082359, 0.3132360754397643, -0.424554579661173, -0.24859919057583765, 0.11588943280443988, 0.10880190046120654, 0.11414519498562987, -0.03467091070967453, -0.29837238496950114, 0.09451912992414745, -0.19357395249638049, -0.0955640632987899, -0.06858744891360402, 0.008028026601737914, 0.03682675817159607, -0.2387587957755279, 0.040111103938782915, 0.09989342550962807, 0.06849120598532916, -0.0785938652437728, -0.07856641009943012, -3.473303171203417e-05, 0.11811262442839934, 0.07414601234417847, 0.023823958829812267, 0.10523052110117587, -0.13690467753776295, -0.12622632782372153, 0.39531344074262853, -0.03925005931121311, -0.2460936053053421, 0.19461381114635837, -0.10530785073745338, -0.16755652733640197, 0.08141552415703807, 0.12995829418770669, 0.12277592962936443, -0.16296250913566088, 0.0653311690192341, -0.08283340395085842, 0.1872261285329895, 0.017817539275240372, 0.009776531316011267, 0.17798212795682689, 0.16178169797777253, 0.08600385793320396, 0.09370471173965865, 0.0006923724157626138, -0.1620770040543421, -0.2539774886332452, -0.07593105458654463, -0.16513914584647865, 0.007318082827858983, -0.08134339350679724, -0.1274330001707901, 0.4148256798987003, 0.18403530385728706, 0.23926771479823133, 0.06538915056050482, 0.282019603671506, 0.12374700556940618, 0.06811402143006597, 0.06655788161408376, 0.23099653893912225, 0.09723333961001653, 0.0810269339777091, -0.17677645151339033, 0.16336156547288685, 0.04466910118456272] |
708.4344 | Two-dimensional Hubbard Model in the presence of lattice distortions | The two-dimensional Hubbard model on the square lattice is studied in the
presence of lattice distortions in the adiabatic approximation. The self energy
is computed within perturbation theory up to second order, which provides a way
for studying the quasiparticle dispersion. We compute numerically the second
order contribution to the self-energy using a standard Fast Fourier Transform
Algorithm for finite system sizes. The stability of the lattice distortions is
investigated and a schematic phase diagram is drawn. The Fermi surface is
analyzed for densities near to half filling, the presence of lattice distortion
change some spectral properties of the model and gives an anisotropic
interacting FS. The spectral function is calculated along several lines in
momentum space and the renormalized quasiparticle dispersion is obtained. The
behavior of the density of states is shown for different values of the
intrasite repulsion U in the different phases.
| cond-mat.str-el | the twodimensional hubbard model on the square lattice is studied in the presence of lattice distortions in the adiabatic approximation the self energy is computed within perturbation theory up to second order which provides a way for studying the quasiparticle dispersion we compute numerically the second order contribution to the selfenergy using a standard fast fourier transform algorithm for finite system sizes the stability of the lattice distortions is investigated and a schematic phase diagram is drawn the fermi surface is analyzed for densities near to half filling the presence of lattice distortion change some spectral properties of the model and gives an anisotropic interacting fs the spectral function is calculated along several lines in momentum space and the renormalized quasiparticle dispersion is obtained the behavior of the density of states is shown for different values of the intrasite repulsion u in the different phases | [['the', 'twodimensional', 'hubbard', 'model', 'on', 'the', 'square', 'lattice', 'is', 'studied', 'in', 'the', 'presence', 'of', 'lattice', 'distortions', 'in', 'the', 'adiabatic', 'approximation', 'the', 'self', 'energy', 'is', 'computed', 'within', 'perturbation', 'theory', 'up', 'to', 'second', 'order', 'which', 'provides', 'a', 'way', 'for', 'studying', 'the', 'quasiparticle', 'dispersion', 'we', 'compute', 'numerically', 'the', 'second', 'order', 'contribution', 'to', 'the', 'selfenergy', 'using', 'a', 'standard', 'fast', 'fourier', 'transform', 'algorithm', 'for', 'finite', 'system', 'sizes', 'the', 'stability', 'of', 'the', 'lattice', 'distortions', 'is', 'investigated', 'and', 'a', 'schematic', 'phase', 'diagram', 'is', 'drawn', 'the', 'fermi', 'surface', 'is', 'analyzed', 'for', 'densities', 'near', 'to', 'half', 'filling', 'the', 'presence', 'of', 'lattice', 'distortion', 'change', 'some', 'spectral', 'properties', 'of', 'the', 'model', 'and', 'gives', 'an', 'anisotropic', 'interacting', 'fs', 'the', 'spectral', 'function', 'is', 'calculated', 'along', 'several', 'lines', 'in', 'momentum', 'space', 'and', 'the', 'renormalized', 'quasiparticle', 'dispersion', 'is', 'obtained', 'the', 'behavior', 'of', 'the', 'density', 'of', 'states', 'is', 'shown', 'for', 'different', 'values', 'of', 'the', 'intrasite', 'repulsion', 'u', 'in', 'the', 'different', 'phases']] | [-0.1695898307318767, 0.15422723467134597, -0.09609218498627688, 0.08067146801743014, -0.01357713301890883, -0.06476550108335655, 0.04426131696070962, 0.37681345748233386, -0.2776213669731956, -0.24351976119495672, 0.037403627998869995, -0.29611875671122606, -0.09672815339511324, 0.14591497941071102, 0.04687652275255271, 0.021519469931533013, -0.025102004561380578, 0.02012807993892709, -0.1433895024294355, -0.2290763807001299, 0.3023296668836526, 0.043789007729882826, 0.2882374852959966, 0.06772467380485915, 0.039025901897071766, 0.032439935499609544, 0.03104894723229367, 0.0378047536510637, -0.15932444774320928, 0.09881355863441874, 0.17206454965414414, -0.046304061652385986, 0.21359314584526523, -0.363419462766113, -0.2358079587783793, 0.03472486731821093, 0.12480285599153361, 0.12567210725974293, -0.026023755008194212, -0.2607308760606523, 0.05275414270702107, -0.14916298302404327, -0.18876233695652977, -0.08839013436488037, 0.003983078767412045, 0.015534787250939628, -0.2509787043331769, 0.10581703744507555, 0.012234894569224582, 0.03876034814125762, -0.09239045969242679, -0.11563226078588773, -0.05008125488228839, 0.11530391940012061, 0.01189462108826586, 0.048874930266676275, 0.07749665544593129, -0.12049565890257985, -0.041440115888314, 0.4358624597690229, -0.08683237216339029, -0.16517668193013504, 0.13601629455927117, -0.17166211070535015, -0.06645320176692872, 0.1914759115444432, 0.11924990474985077, 0.06497239741528857, -0.13108380491813196, 0.13115303838778095, -0.0058580047298415466, 0.16542980495583395, 0.023655444611634675, 0.03813721338961402, 0.18419259216893336, 0.15331082307605137, 0.052857704399603196, 0.16190713304777404, -0.1389201063807283, -0.13644117381231025, -0.2953993454061705, -0.11170099290280507, -0.2445033804674087, -0.00797813116444339, -0.09172472877012454, -0.20891761316432103, 0.4462972716621027, 0.09983820483200895, 0.20060202434080943, 0.006338306647275799, 0.26236595341871527, 0.19266377886524425, 0.047059873950764025, 0.04998121521082418, 0.22979833649828676, 0.1578241716379878, 0.049833169600380395, -0.28655679847378734, 0.0008519940046143943, 0.1306819418011683] |
708.4345 | Boiling of nuclear liquid in core-collapse supernova explosions | We investigate the possibility of boiling instability of nuclear liquid in
the inner core of the proto-neutron star formed in the core collapse of a type
II supernova. We derive a simple criterion for boiling to occur. Using this
criterion for one of best described equations of state of supernova matter, we
find that boiling is quite possible under the conditions realized inside the
proto-neutron star. We discuss consequences of this process such as the
increase of heat transfer rate and pressure in the boiling region. We expect
that taking this effect into account in the conventional neutrino-driven
delayed-shock mechanism of type II supernova explosions can increase the
explosion energy and reduce the mass of the neutron-star remnant.
| astro-ph | we investigate the possibility of boiling instability of nuclear liquid in the inner core of the protoneutron star formed in the core collapse of a type ii supernova we derive a simple criterion for boiling to occur using this criterion for one of best described equations of state of supernova matter we find that boiling is quite possible under the conditions realized inside the protoneutron star we discuss consequences of this process such as the increase of heat transfer rate and pressure in the boiling region we expect that taking this effect into account in the conventional neutrinodriven delayedshock mechanism of type ii supernova explosions can increase the explosion energy and reduce the mass of the neutronstar remnant | [['we', 'investigate', 'the', 'possibility', 'of', 'boiling', 'instability', 'of', 'nuclear', 'liquid', 'in', 'the', 'inner', 'core', 'of', 'the', 'protoneutron', 'star', 'formed', 'in', 'the', 'core', 'collapse', 'of', 'a', 'type', 'ii', 'supernova', 'we', 'derive', 'a', 'simple', 'criterion', 'for', 'boiling', 'to', 'occur', 'using', 'this', 'criterion', 'for', 'one', 'of', 'best', 'described', 'equations', 'of', 'state', 'of', 'supernova', 'matter', 'we', 'find', 'that', 'boiling', 'is', 'quite', 'possible', 'under', 'the', 'conditions', 'realized', 'inside', 'the', 'protoneutron', 'star', 'we', 'discuss', 'consequences', 'of', 'this', 'process', 'such', 'as', 'the', 'increase', 'of', 'heat', 'transfer', 'rate', 'and', 'pressure', 'in', 'the', 'boiling', 'region', 'we', 'expect', 'that', 'taking', 'this', 'effect', 'into', 'account', 'in', 'the', 'conventional', 'neutrinodriven', 'delayedshock', 'mechanism', 'of', 'type', 'ii', 'supernova', 'explosions', 'can', 'increase', 'the', 'explosion', 'energy', 'and', 'reduce', 'the', 'mass', 'of', 'the', 'neutronstar', 'remnant']] | [-0.08121825117641726, 0.14919943618389148, -0.07677543700203045, 0.11571409921895956, -0.08575922766358106, -0.057280778888867706, 0.12944946131812265, 0.29753362958152324, -0.2539556746820832, -0.26763350479941594, 0.10190645677761899, -0.21850345028230014, -0.05408832365567358, 0.19080349338304603, -0.016339086145650134, -0.05737591120931837, 0.08622026270748968, 0.015591165783186244, -0.13743828533219302, -0.2272981024530326, 0.3731802984650255, 0.07530737460519259, 0.22755065620837048, 0.08168115247683759, 0.07248360345637103, -0.10442161332998966, 0.025878732146408696, -0.02971157693487202, -0.18464778247550548, -0.022999538263926905, 0.20267784029818, 0.16406969146596062, 0.20198533696751308, -0.4883908884456524, -0.2935271414124176, 0.13105539063341978, 0.14508822843687147, 0.11235457390514958, -0.10558614821937413, -0.218066580963727, 0.06386335344555286, -0.2712623541139894, -0.18368131300617552, 0.02412872127074207, -0.031196387878690775, 0.03213034049606819, -0.25734037944139576, 0.1400658633902223, 0.10605273116578977, -0.017690819918981984, -0.10986941074554482, -0.08005166881614262, -0.04045867159739774, 0.045995922894495674, 0.04320097283602485, -0.018337645054532167, 0.17681983929390135, -0.1857788719368191, 0.014155243682619343, 0.42344962085923576, -0.049259810366182245, -0.04938369822035679, 0.18014006902519455, -0.17408657295263222, -0.08642035006330563, 0.14531850900787574, 0.17979482176880807, 0.10430899575655149, -0.12482947943748063, -0.03382982121889716, -0.0017195285703891362, 0.10273351787955651, 0.0756675190348019, -0.0024483620550938183, 0.2875638641576227, 0.2693066809835852, 0.008185400806653958, 0.17326888165030724, -0.16492959290233433, -0.08805136365117505, -0.322561363349808, -0.16715472900014147, -0.12304915644180699, 0.09574197630127335, -0.093029342304953, -0.13130610305656734, 0.34710299664646643, 0.11955448671076925, 0.16303666620555088, -0.06870094954203336, 0.2326030024032817, 0.09825651149333128, 0.046785324760195285, 0.10030562437585212, 0.3216506025125074, 0.15374405732235083, 0.12640601242136243, -0.3270158227732103, 0.0853107614068585, 0.08012710635064758] |
708.4346 | Continuation unique a partir de l'infini conforme pour les metriques
d'Einstein | We prove the unique continuation property at the conformal infinity for
asymptotically hyperbolic Einstein metrics.
| math.DG | we prove the unique continuation property at the conformal infinity for asymptotically hyperbolic einstein metrics | [['we', 'prove', 'the', 'unique', 'continuation', 'property', 'at', 'the', 'conformal', 'infinity', 'for', 'asymptotically', 'hyperbolic', 'einstein', 'metrics']] | [-0.19652448842922846, 0.0021451987947026887, -0.1528429647597174, 0.14067335526148478, -0.12822707146406173, -0.21740836948156356, -0.0847232506920894, 0.32659415317078433, -0.21435713569323223, -0.05668488355974356, 0.11491908595198766, -0.39755564630031587, -0.16979249144593875, 0.12371502481400967, -0.04362885213146607, 0.17945110499858857, 0.02778278837601344, 0.13485280933479468, -0.14584016098330418, -0.25057651263972125, 0.4142600975930691, 0.0051464187602202095, 0.34538325717051827, 0.0803786205748717, 0.22831483354869608, -0.048106022800008454, 0.012649854024251303, 0.048849727710088095, -0.2860074020922184, -0.017328169600417217, 0.29112976176353794, 0.10654356981006761, 0.27152576091078423, -0.26127683917681377, -0.16088652163743972, 0.1332394148533543, 0.17468393643697103, 0.07508283400287231, -0.0427271731197834, -0.32245756934086484, 0.177461921920379, -0.02422578160961469, -0.4112715944647789, -0.05690973059584697, -0.04803898905714353, -0.09317416716367007, -0.19263972267508506, -0.062160030007362366, 0.1085129801183939, 0.058075137560566266, -0.13083575665950775, 0.015276833375295003, 0.0011755340732634068, 0.089701640419662, 0.16557394582778215, 0.01354588040461143, 0.051401717122644186, 0.03787697980878875, -0.04062506740447134, 0.27953771501779556, -0.16700913459062577, -0.35324652840693793, 0.12795619620010257, -0.22610821972290676, -0.20499199132124582, 0.08860574389497439, 0.09289023329814275, 0.175648408010602, -0.06957919945319493, 0.27610657972594105, -0.026702287793159484, 0.008121613475183646, 0.23508132478843133, 0.03389381443460782, 0.1914128529528777, -0.003869278480609258, 0.23708636748294035, 0.15667423804601033, 0.13625019788742065, -0.04235237886508306, -0.4302185989295443, -0.2696378745138645, -0.14870519588390987, 0.26296785871187844, -0.285535917027543, -0.2708579773704211, 0.32538535073399544, -0.00068771847387931, 0.08429502931733926, 0.29778054437289636, 0.14362411362429459, 0.05526666165096685, 0.0370196374754111, 0.21444560705373686, 0.33344090823084116, 0.10387434987351299, 0.10964593821360419, -0.19439684686561426, -0.14583419443418583, 0.2647893410176039] |
708.4347 | World currency exchange rate cross-correlations | World currency network constitutes one of the most complex structures that is
associated with the contemporary civilization. On a way towards quantifying its
characteristics we study the cross correlations in changes of the daily foreign
exchange rates within the basket of 60 currencies in the period December 1998
-- May 2005. Such a dynamics turns out to predominantly involve one outstanding
eigenvalue of the correlation matrix. The magnitude of this eigenvalue depends
however crucially on which currency is used as a base currency for the
remaining ones. Most prominent it looks from the perspective of a peripheral
currency. This largest eigenvalue is seen to systematically decrease and thus
the structure of correlations becomes more heterogeneous, when more significant
currencies are used as reference. An extreme case in this later respect is the
USD in the period considered. Besides providing further insight into subtle
nature of complexity, these observations point to a formal procedure that in
general can be used for practical purposes of measuring the relative currencies
significance on various time horizons.
| q-fin.ST physics.soc-ph | world currency network constitutes one of the most complex structures that is associated with the contemporary civilization on a way towards quantifying its characteristics we study the cross correlations in changes of the daily foreign exchange rates within the basket of 60 currencies in the period december 1998 may 2005 such a dynamics turns out to predominantly involve one outstanding eigenvalue of the correlation matrix the magnitude of this eigenvalue depends however crucially on which currency is used as a base currency for the remaining ones most prominent it looks from the perspective of a peripheral currency this largest eigenvalue is seen to systematically decrease and thus the structure of correlations becomes more heterogeneous when more significant currencies are used as reference an extreme case in this later respect is the usd in the period considered besides providing further insight into subtle nature of complexity these observations point to a formal procedure that in general can be used for practical purposes of measuring the relative currencies significance on various time horizons | [['world', 'currency', 'network', 'constitutes', 'one', 'of', 'the', 'most', 'complex', 'structures', 'that', 'is', 'associated', 'with', 'the', 'contemporary', 'civilization', 'on', 'a', 'way', 'towards', 'quantifying', 'its', 'characteristics', 'we', 'study', 'the', 'cross', 'correlations', 'in', 'changes', 'of', 'the', 'daily', 'foreign', 'exchange', 'rates', 'within', 'the', 'basket', 'of', '60', 'currencies', 'in', 'the', 'period', 'december', '1998', 'may', '2005', 'such', 'a', 'dynamics', 'turns', 'out', 'to', 'predominantly', 'involve', 'one', 'outstanding', 'eigenvalue', 'of', 'the', 'correlation', 'matrix', 'the', 'magnitude', 'of', 'this', 'eigenvalue', 'depends', 'however', 'crucially', 'on', 'which', 'currency', 'is', 'used', 'as', 'a', 'base', 'currency', 'for', 'the', 'remaining', 'ones', 'most', 'prominent', 'it', 'looks', 'from', 'the', 'perspective', 'of', 'a', 'peripheral', 'currency', 'this', 'largest', 'eigenvalue', 'is', 'seen', 'to', 'systematically', 'decrease', 'and', 'thus', 'the', 'structure', 'of', 'correlations', 'becomes', 'more', 'heterogeneous', 'when', 'more', 'significant', 'currencies', 'are', 'used', 'as', 'reference', 'an', 'extreme', 'case', 'in', 'this', 'later', 'respect', 'is', 'the', 'usd', 'in', 'the', 'period', 'considered', 'besides', 'providing', 'further', 'insight', 'into', 'subtle', 'nature', 'of', 'complexity', 'these', 'observations', 'point', 'to', 'a', 'formal', 'procedure', 'that', 'in', 'general', 'can', 'be', 'used', 'for', 'practical', 'purposes', 'of', 'measuring', 'the', 'relative', 'currencies', 'significance', 'on', 'various', 'time', 'horizons']] | [-0.12046718976476736, 0.06140719963401373, -0.10268015721649454, 0.12606958696436224, -0.057720153783148494, -0.10895038603761435, 0.05971298805486999, 0.35079202554815, -0.25487268681921155, -0.2904806472269181, 0.10801842853451442, -0.3204718042785923, -0.1440089355653141, 0.2231508985799002, -0.06939606328610114, -0.01938414636497966, 0.0503719851009722, 0.04218250232590744, -0.0186206234825982, -0.25155373006291165, 0.288927840836869, 0.10403347622102116, 0.28743272332599856, 0.03549408032395469, 0.04927213161050925, -0.0032481035593439614, -0.05587663881893253, -0.002823391078960434, -0.06671632924677098, 0.13656044674650747, 0.29199402123057877, 0.11858434644554965, 0.3067381061403876, -0.4188439335826545, -0.14613000798850642, 0.13330650448319856, 0.11091947545874754, 0.08419040833635266, -0.0025719945451410826, -0.23471526592447048, 0.0434398389644703, -0.19546629074410868, -0.13606629534270506, -0.031330629830569987, 0.0755814581248931, -0.018940789237678356, -0.20182226528447633, 0.09235397269009825, 0.0293142396553058, 0.06165627298103264, -0.02734344429268409, -0.12586696315978854, -0.034264185614284806, 0.16774532216283145, 0.09835174294087862, -0.01485459957331724, 0.1384501749736785, -0.10608363448919957, -0.12817552679712607, 0.41416702045356496, -0.023662839626773582, -0.14603888999387535, 0.1673468358512445, -0.14189806664417012, -0.14817102237370366, 0.112000613534627, 0.1822360449427009, 0.07151050176008533, -0.1580256643768554, 0.019036790028919753, -0.011295567914756418, 0.18535590138131813, 0.07650338450299674, 0.03856304385433823, 0.20583634844801404, 0.17610905815476868, 0.0836411019765407, 0.1250688242324361, -0.08009394984562984, -0.1841812007502266, -0.24643565172313206, -0.16893831414731536, -0.1524689180711121, 0.08103279895094707, -0.1153270759134198, -0.1531954480284738, 0.4204549260481059, 0.13442907242049268, 0.18839831575097746, -0.014234544136779307, 0.2638281007019574, 0.10217225472769585, 0.09154884473298817, 0.05183029025983697, 0.2436422013748459, 0.0656371499515242, 0.13483401921942656, -0.1538289511843165, 0.1597092183666271, -0.004002139109802264] |
708.4348 | An optimized algebraic basis for molecular potentials | The computation of vibrational spectra of diatomic molecules through the
exact diagonalization of algebraically determined matrixes based on powers of
Morse coordinates is made substantially more efficient by choosing a properly
adapted quantum-mechanical basis, specifically tuned to the molecular
potential. A substantial improvement is achieved while still retaining the full
advantage of the simplicity and numerical light-weightedness of an algebraic
approach. In the scheme we propose, the basis is parameterized by two
quantities which can be adjusted to best suit the molecular potential through a
simple minimization procedure.
| physics.chem-ph physics.comp-ph | the computation of vibrational spectra of diatomic molecules through the exact diagonalization of algebraically determined matrixes based on powers of morse coordinates is made substantially more efficient by choosing a properly adapted quantummechanical basis specifically tuned to the molecular potential a substantial improvement is achieved while still retaining the full advantage of the simplicity and numerical lightweightedness of an algebraic approach in the scheme we propose the basis is parameterized by two quantities which can be adjusted to best suit the molecular potential through a simple minimization procedure | [['the', 'computation', 'of', 'vibrational', 'spectra', 'of', 'diatomic', 'molecules', 'through', 'the', 'exact', 'diagonalization', 'of', 'algebraically', 'determined', 'matrixes', 'based', 'on', 'powers', 'of', 'morse', 'coordinates', 'is', 'made', 'substantially', 'more', 'efficient', 'by', 'choosing', 'a', 'properly', 'adapted', 'quantummechanical', 'basis', 'specifically', 'tuned', 'to', 'the', 'molecular', 'potential', 'a', 'substantial', 'improvement', 'is', 'achieved', 'while', 'still', 'retaining', 'the', 'full', 'advantage', 'of', 'the', 'simplicity', 'and', 'numerical', 'lightweightedness', 'of', 'an', 'algebraic', 'approach', 'in', 'the', 'scheme', 'we', 'propose', 'the', 'basis', 'is', 'parameterized', 'by', 'two', 'quantities', 'which', 'can', 'be', 'adjusted', 'to', 'best', 'suit', 'the', 'molecular', 'potential', 'through', 'a', 'simple', 'minimization', 'procedure']] | [-0.103110909947708, 0.047873187945498656, -0.1045848901287235, 0.033499135324014245, -0.06679481045268047, -0.14955083000869757, 0.0906978190244957, 0.4040827835942137, -0.26415025163441896, -0.29142047863068254, 0.04082797265788219, -0.18132206987075764, -0.12812344131766465, 0.20868621372628485, -0.0025997103573941766, 0.07236948759220112, 0.08374271569934127, -0.00037109041211848287, -0.09269288804746051, -0.24195399225271982, 0.262573498863213, 0.10365491007031852, 0.2469250090505885, 0.05477083932565546, 0.12373241576655157, 0.007561466185611555, -0.016427246045492505, 0.024436536903396762, -0.10148327881149177, 0.20123464157122412, 0.24442658964852298, 0.10129263474145668, 0.29229650570978893, -0.4506981187211028, -0.2045804308406238, 0.08826679088196707, 0.19578666424100427, 0.13274250544163388, -0.01265941586980366, -0.2590172327733759, 0.06284578366007057, -0.17681797617382702, -0.14133411593435483, -0.16071657050165467, -0.028462582738834553, 0.030162387277968442, -0.2789691241977244, 0.017190795948450594, 0.004431039565938643, 0.07684088197547471, -0.04664016104619094, -0.1355708700205981, -0.011341723752604133, 0.09057227205271008, -0.014834776427061564, 0.010634672025154376, 0.1481211480802332, -0.07959455264940986, -0.08055513582443925, 0.4387908303767614, -0.07820243765760598, -0.271435426112904, 0.1246834641627582, -0.06216541666205673, -0.06828419977916811, 0.1855060894834413, 0.0774297433873189, 0.13685954991599608, -0.1653771367694797, 0.09940319804236529, 0.006882306477376099, 0.16639702470073925, 0.04362420320253948, 0.020495932838269348, 0.15484732508809232, 0.12788622748192358, 0.02671527449341341, 0.15508463917615897, -0.02446179607636884, -0.123603372823918, -0.23916575184156155, -0.12430379306228467, -0.2529393434096342, 0.02698740099380114, -0.10143298090515182, -0.12744991656863827, 0.43054312517766635, 0.09709296561242349, 0.18234754507376374, 0.035154085607674704, 0.3363286867421977, 0.1377544404360755, 0.05911730835214257, 0.03125879777081568, 0.2255139386966482, 0.1404605473969774, 0.0037931802323965848, -0.26024586979256964, 0.04400340006312077, 0.09438794118020384] |
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