id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
710.0153 | Omega-powers and descriptive set theory | We study the sets of the infinite sentences constructible with a dictionary
over a finite alphabet, from the viewpoint of descriptive set theory. Among
other things, this gives some true co-analytic sets. The case where the
dictionary is finite is studied and gives a natural example of a set at the
level omega of the Wadge hierarchy.
| math.LO math.GN | we study the sets of the infinite sentences constructible with a dictionary over a finite alphabet from the viewpoint of descriptive set theory among other things this gives some true coanalytic sets the case where the dictionary is finite is studied and gives a natural example of a set at the level omega of the wadge hierarchy | [['we', 'study', 'the', 'sets', 'of', 'the', 'infinite', 'sentences', 'constructible', 'with', 'a', 'dictionary', 'over', 'a', 'finite', 'alphabet', 'from', 'the', 'viewpoint', 'of', 'descriptive', 'set', 'theory', 'among', 'other', 'things', 'this', 'gives', 'some', 'true', 'coanalytic', 'sets', 'the', 'case', 'where', 'the', 'dictionary', 'is', 'finite', 'is', 'studied', 'and', 'gives', 'a', 'natural', 'example', 'of', 'a', 'set', 'at', 'the', 'level', 'omega', 'of', 'the', 'wadge', 'hierarchy']] | [-0.14272990490293555, 0.10359722714086897, -0.08658142468744986, 0.1115935144623284, -0.08808914757448069, -0.09771316514856983, 0.10901125194300619, 0.28568269204544394, -0.337368060426231, -0.20875125821156984, 0.05890176110602752, -0.32415082338347767, -0.10029739625098412, 0.17497252872042163, -0.09181932105045569, -0.00939902952431064, 0.04217594770485895, 0.1547826677887586, -0.05909183740681201, -0.282149895306742, 0.38919525236512226, -0.056222211651242616, 0.27886632003151535, 0.008573888049444608, 0.14863184821514183, -0.028709841310046613, -0.026127087671244352, 0.050748093674580254, -0.11327712584221572, 0.17697590169611208, 0.3338928437023832, 0.22284716073619693, 0.3055594007304886, -0.3336586351588107, -0.16236634602721192, 0.15462617262413628, 0.06886829381906673, 0.13036404238000773, 0.008174189006942407, -0.26926652286120023, 0.13128751091528357, -0.16372229675190492, -0.07698733018090327, -0.02490612732965434, 0.06023642571087469, -0.01749414333403764, -0.25229799584077117, -0.013575712594677481, 0.1021398282364795, 0.11485835003029359, -0.056157579261548164, -0.11945191551849507, 0.025203279268584754, 0.09154951238285816, 0.015901871311494654, 0.05836071611408618, 0.034097364809560146, -0.07495407904334889, -0.08063061615419492, 0.4204428596585466, -0.057313748030808936, -0.23696966286291155, 0.21526689282536768, -0.1805432493259248, -0.1166605510924567, 0.0720247780544716, 0.08678996867679975, 0.11960050404856079, -0.08133004465254776, 0.21471989401432343, -0.2067334952747874, 0.1740649831705939, 0.11870858728632397, 0.0606006175900499, 0.16641299732094794, 0.2024338891108831, 0.0747358982630989, 0.18538360765077205, 0.007593536749482155, -0.05266960594280247, -0.3691166487702152, -0.06893959786873638, -0.14623894743221044, 0.046685399058716076, -0.13034950362558256, -0.22768808974835433, 0.3943270134755917, 0.1099068144981733, 0.20994862920620985, 0.14477666103068673, 0.24034008266110168, 0.08284918739707536, 0.02690685313325702, 0.01031631466589476, 0.05367222485763609, 0.12297107215578619, 0.006449136746308987, -0.14854658469802848, 0.03923674801920067, 0.14577240601443409] |
710.0154 | Hurewicz-like tests for Borel subsets of the plane | Let xi be a non-null countable ordinal. We study the Borel subsets of the
plane that can be made $\bormxi$ by refining the Polish topology on the real
line. These sets are called potentially $\bormxi$. We give a Hurewicz-like test
to recognize potentially $\bormxi$ sets.
| math.LO math.GN | let xi be a nonnull countable ordinal we study the borel subsets of the plane that can be made bormxi by refining the polish topology on the real line these sets are called potentially bormxi we give a hurewiczlike test to recognize potentially bormxi sets | [['let', 'xi', 'be', 'a', 'nonnull', 'countable', 'ordinal', 'we', 'study', 'the', 'borel', 'subsets', 'of', 'the', 'plane', 'that', 'can', 'be', 'made', 'bormxi', 'by', 'refining', 'the', 'polish', 'topology', 'on', 'the', 'real', 'line', 'these', 'sets', 'are', 'called', 'potentially', 'bormxi', 'we', 'give', 'a', 'hurewiczlike', 'test', 'to', 'recognize', 'potentially', 'bormxi', 'sets']] | [-0.15648171334630914, 0.15097881877380942, -0.08726142340650161, 0.12270599996878041, -0.14738052607410485, -0.10936404719120926, 0.08621510853990913, 0.3695360857165522, -0.26079306681123043, -0.18258984881556697, 0.09281679985837804, -0.2963526129722595, -0.06776306782331731, 0.25716136630960845, -0.10895763080981043, -0.028569904383685854, 0.07724133980356984, 0.063345408356852, 0.01960676904871232, -0.27425056219928795, 0.38458767796142235, -0.0571500347306331, 0.20088573371370633, 0.01840890089256896, 0.040356923246549235, -0.04122777183850606, -0.045042012404236526, 0.13725434406143094, -0.14050827249448047, 0.10954832960334089, 0.308290070709255, 0.2239910162312703, 0.23877410118778547, -0.3450684289137522, -0.1729000850787593, 0.24119089521053766, 0.08278815067476697, -0.03824834352773097, 0.04585627535513292, -0.39410710057450665, 0.15293684042990208, -0.12384297380016909, -0.11266579409647319, -0.15803097252630524, 0.04667859874251816, 0.011693943286728528, -0.26916287913918496, -0.12169698353649841, 0.06587566029694346, 0.10192757203347153, -0.014968300331383943, -0.07436753670788473, -0.03087046602740884, 0.0987486954105811, -0.018815979154573545, 0.08357994634554618, 0.05691289849993256, 0.04325914221505324, -0.13644694865991672, 0.3832914386358526, -0.043059394073983036, -0.2873173843655321, 0.1759476530055205, -0.19733258321777813, -0.15351124603508248, 0.08058520572053061, 0.1823420473270946, 0.09006583978318505, -0.06751650283113123, 0.14409376605827776, -0.1486955864354968, 0.14217166892356342, 0.08549927207123902, -0.02869173726066947, 0.22038854050139586, 0.10760510455196103, 0.04876525443461206, 0.17737453899139333, -0.0387992822099477, 0.02733136597606871, -0.32373835887346003, -0.11887270216312673, -0.1168348636607536, 0.11674522976908419, -0.12692777110884587, -0.22830593457652462, 0.3539001195795006, 0.10958165505694019, 0.2025704704173323, 0.11463257763534784, 0.18757908124890593, 0.057909121012522116, 0.00932137215923932, 0.04345125611871481, 0.09883145031829675, 0.09555821849757598, -0.08448620999180194, -0.1107401059785237, 0.09538924775810706, 0.13576975812514622] |
710.0155 | How can we recover Baire class one functions? | Let X and Y be separable metrizable spaces, and f:X-->Y be a function. We
want to recover f from its values on a small set via a simple algorithm. We
show that this is possible if f is Baire class one, and in fact we get a
characterization. This leads us to the study of sets of Baire class one
functions and to a characterization of the separability of the dual space of an
arbitrary Banach space.
| math.LO math.FA math.GN | let x and y be separable metrizable spaces and fxy be a function we want to recover f from its values on a small set via a simple algorithm we show that this is possible if f is baire class one and in fact we get a characterization this leads us to the study of sets of baire class one functions and to a characterization of the separability of the dual space of an arbitrary banach space | [['let', 'x', 'and', 'y', 'be', 'separable', 'metrizable', 'spaces', 'and', 'fxy', 'be', 'a', 'function', 'we', 'want', 'to', 'recover', 'f', 'from', 'its', 'values', 'on', 'a', 'small', 'set', 'via', 'a', 'simple', 'algorithm', 'we', 'show', 'that', 'this', 'is', 'possible', 'if', 'f', 'is', 'baire', 'class', 'one', 'and', 'in', 'fact', 'we', 'get', 'a', 'characterization', 'this', 'leads', 'us', 'to', 'the', 'study', 'of', 'sets', 'of', 'baire', 'class', 'one', 'functions', 'and', 'to', 'a', 'characterization', 'of', 'the', 'separability', 'of', 'the', 'dual', 'space', 'of', 'an', 'arbitrary', 'banach', 'space']] | [-0.11370712442492897, 0.07411699242116551, -0.11721112990340629, 0.07775769213383849, -0.10997690942573857, -0.10737608771093866, 0.06966688133346811, 0.3845184055435193, -0.3445834180751404, -0.1825756258815043, 0.08698757367613785, -0.24758904949798213, -0.13482960160555585, 0.20474571487926818, -0.13018425753606216, -0.03056999544712092, 0.036153737600747644, 0.06720083644734574, -0.1270652108549068, -0.3009240457715539, 0.40670767754872705, -0.09295406914618495, 0.1692998305404583, 0.022643607666159606, 0.14249680034042178, 0.030823582269299727, 0.030286144906679142, 0.05981946805591828, -0.17568033883189738, 0.1448099495746292, 0.26321330418592537, 0.1862906699625219, 0.32112022358682246, -0.29009019067002967, -0.1497673795788319, 0.24784457816609315, 0.051519515394995156, -0.0071862152937872265, 0.014073657795678002, -0.2774692056579636, 0.10833468352287233, -0.15248832733116366, -0.12576592114887067, -0.13231539322885794, 0.06387695223213984, -0.003986494552174752, -0.3539311255558164, -0.04089961469463714, 0.09963444642142041, -0.0069368928549932195, -0.08112312653313646, -0.038642411289567295, -0.03313144957707203, 0.08824055106076714, -0.03398999787697738, 0.159061503152109, 0.04652657880532471, -0.033771696663764006, -0.0727573452251298, 0.37270309900647247, -0.0651027514272696, -0.26830298516463924, 0.18937023773837786, -0.22979761447225297, -0.1378677609957174, 0.11697717252876852, 0.1596240493553606, 0.18194486873296947, -0.08429892734902633, 0.19420270461818906, -0.14797968811706289, 0.14940188844482621, 0.037526953130863704, 0.07876994335636883, 0.136349988829151, 0.12556745214750628, 0.14065298906152512, 0.1933328893440836, -0.004744202536591268, 0.025344376836286542, -0.33943050533726615, -0.19393165572244045, -0.202730091004451, 0.14048730857767067, -0.08001154329697299, -0.20518043644532755, 0.3763740651744914, 0.09431109143203342, 0.23023224687324717, 0.09857109372879004, 0.2072721520898404, 0.08170820869276355, 0.001268261916596781, 0.061360577629371124, 0.13867141427351282, 0.15794520658537647, -0.01826297716152939, -0.10806320629131, 0.04890401961959221, 0.14521699252405337] |
710.0156 | Sharp estimates for maximal operators associated to the wave equation | We give almost sharp conditions under which the maximal operator associated
with the wave equation with initial data in Sobolev space H^s(R^n) is bounded
from H^s(R^n) to L^q(R^n).
| math.CA math.AP | we give almost sharp conditions under which the maximal operator associated with the wave equation with initial data in sobolev space hsrn is bounded from hsrn to lqrn | [['we', 'give', 'almost', 'sharp', 'conditions', 'under', 'which', 'the', 'maximal', 'operator', 'associated', 'with', 'the', 'wave', 'equation', 'with', 'initial', 'data', 'in', 'sobolev', 'space', 'hsrn', 'is', 'bounded', 'from', 'hsrn', 'to', 'lqrn']] | [-0.12747296612468306, 0.12475850464155276, -0.06954655189205099, 0.044443116303429835, -0.08067164648565706, -0.11439874085287254, -0.04072132554871065, 0.3459984679464941, -0.3029622096154425, -0.183000810444355, 0.20850836733545833, -0.30424843159400755, -0.07402026625695052, 0.21546023097579126, -0.07961269633637534, 0.1259480626494796, 0.09330839822413745, 0.10432391310179676, -0.12366335614825841, -0.2310777168582987, 0.4762479527680962, -0.03826062746897892, 0.21773186874472433, 0.03496784305294837, 0.11959530782661643, -0.05634364661657148, 0.05325563534818314, -0.0633123222300869, -0.2607746647187957, 0.09578621073591488, 0.23347921552205528, 0.10483954019016689, 0.23661463086803755, -0.4447958064265549, -0.1704263255448529, 0.19388589611345972, 0.0812705927528441, 0.025933818145724083, -0.013542762405618473, -0.3637732179076583, 0.06761347271364045, -0.028185262310284155, -0.23422968746335418, -0.045266060434557776, 0.021161607863312518, 0.05230179794684604, -0.3655163096608939, 0.16653891390672437, 0.062180559875236616, 0.001201559806725493, -0.22178812131837564, -0.043960444948256565, -0.07346036657691002, 0.0012206897932898115, 0.03773055035034539, 0.12722419389023412, -0.043240687189002834, -0.081985077958692, -0.018747945574836597, 0.3284918577582748, -0.13481905877038283, -0.2828871631235988, 0.1261682037126135, -0.23421711685066973, -0.061102316766563386, 0.1355156423351555, 0.1140724286712982, 0.09431141704596856, -0.10405865525481878, 0.17375214146105228, -0.06588797740308412, 0.1205435898154974, 0.10649595257860643, 0.06826133377574108, -0.05034985407083123, 0.08147820519904296, 0.2694356716755364, 0.16703553194249118, 0.005284261991080173, -0.08596563856634828, -0.3923033866341467, -0.08929963906606038, -0.16683086035428224, 0.12583351839081539, -0.14029148710822617, -0.20754949458771282, 0.3158110404835531, 0.098476092779526, 0.22713238952888382, 0.0710425462823844, 0.1664010469491283, 0.1903292473440093, 0.03798199983106719, 0.16522740295018862, 0.1287240232858393, 0.1071926606129165, 0.15316423477122076, -0.1483491035954406, 0.03582177090424078, 0.1385663790403029] |
710.0157 | PCF and Abelian Groups | We deal with some pcf investigations mostly motivated by abelian group theory
problems and deal their applications to test problems (we expect reasonably
wide applications). We prove almost always the existence of aleph_omega-free
abelian groups with trivial dual, i.e. no non-trivial homomorphisms to the
integers. This relies on investigation of pcf; more specifically, for this we
prove that "almost always" there are F subseteq lambda^kappa which are quite
free and has black boxes. The "almost always" means that there are strong
restrictions on cardinal arithmetic if the universe fails this, the
restrictions are "everywhere". Also we replace Abelian groups by R-modules, so
in some sense our advantage over earlier results becomes clearer.
| math.LO math.GR | we deal with some pcf investigations mostly motivated by abelian group theory problems and deal their applications to test problems we expect reasonably wide applications we prove almost always the existence of aleph_omegafree abelian groups with trivial dual ie no nontrivial homomorphisms to the integers this relies on investigation of pcf more specifically for this we prove that almost always there are f subseteq lambdakappa which are quite free and has black boxes the almost always means that there are strong restrictions on cardinal arithmetic if the universe fails this the restrictions are everywhere also we replace abelian groups by rmodules so in some sense our advantage over earlier results becomes clearer | [['we', 'deal', 'with', 'some', 'pcf', 'investigations', 'mostly', 'motivated', 'by', 'abelian', 'group', 'theory', 'problems', 'and', 'deal', 'their', 'applications', 'to', 'test', 'problems', 'we', 'expect', 'reasonably', 'wide', 'applications', 'we', 'prove', 'almost', 'always', 'the', 'existence', 'of', 'aleph_omegafree', 'abelian', 'groups', 'with', 'trivial', 'dual', 'ie', 'no', 'nontrivial', 'homomorphisms', 'to', 'the', 'integers', 'this', 'relies', 'on', 'investigation', 'of', 'pcf', 'more', 'specifically', 'for', 'this', 'we', 'prove', 'that', 'almost', 'always', 'there', 'are', 'f', 'subseteq', 'lambdakappa', 'which', 'are', 'quite', 'free', 'and', 'has', 'black', 'boxes', 'the', 'almost', 'always', 'means', 'that', 'there', 'are', 'strong', 'restrictions', 'on', 'cardinal', 'arithmetic', 'if', 'the', 'universe', 'fails', 'this', 'the', 'restrictions', 'are', 'everywhere', 'also', 'we', 'replace', 'abelian', 'groups', 'by', 'rmodules', 'so', 'in', 'some', 'sense', 'our', 'advantage', 'over', 'earlier', 'results', 'becomes', 'clearer']] | [-0.16518646620265376, 0.1117465737955393, -0.09565743000607367, 0.11791747535037733, -0.1198425332654838, -0.15716673896924868, 0.009299479630515651, 0.4253439803079173, -0.2640513297808063, -0.20894819021493466, 0.1308138624183951, -0.2783718598284968, -0.13065087401752803, 0.24553261945645014, -0.1240181483586344, -0.013885670555503788, 0.06305625212487874, 0.06330545974878578, -0.05883941828558507, -0.3178920995943282, 0.36694170499371515, -0.04907518457243773, 0.2435275699423106, 0.07430078274662699, 0.060658185109328314, -0.007121169192901066, -0.022101392807975948, 0.06929264465128784, -0.1727993620129833, 0.09985176156732377, 0.3129782834885273, 0.0820000005953081, 0.28742106925897504, -0.4040657484878761, -0.20040433668439184, 0.23108191340993922, 0.1256523201208528, 0.05563653250715721, -0.07984763523314656, -0.24388131294567306, 0.17926064580007717, -0.1464745175630391, -0.1327975728205061, -0.11317960526542487, 0.062096636280887296, 0.005977147300769617, -0.22421262223013416, -0.008033031319018436, 0.13420480564404447, 0.08197235184310524, -0.047693863740769796, -0.08730165104943889, -0.0005132192724829053, 0.06010100987177711, 0.07036846690718923, 0.00037884619401616827, 0.06988560342490002, -0.08376394379842053, -0.10173997716969801, 0.3848441870765643, -0.023581090790160873, -0.21490878918887796, 0.20632054673105077, -0.17396661145444792, -0.19795653059541643, 0.102501887595281, 0.02731540184132419, 0.12666278790476992, -0.03452132524805026, 0.19031276035244232, -0.15837825456348895, 0.16952213254203466, 0.11887098687726098, 0.05388449709170271, 0.16368299353708354, 0.07602387570213896, 0.1283430869414194, 0.1141765995836305, 0.09706053415917464, -0.06276999283078555, -0.331046641607106, -0.10618837593912005, -0.11833084429203121, 0.09204791902002317, -0.054390374846653676, -0.20396219335311838, 0.32555031049409294, 0.1590373952126315, 0.13659551216977406, 0.12808819456332204, 0.24500336328538153, 0.059223017115187876, 0.05651480718599716, 0.09542948268311988, 0.1814411038701708, 0.14608577669908604, -0.00494337719256847, -0.08114712869933059, 0.02076638291111669, 0.08012406337536401] |
710.0158 | High-accuracy comparison of numerical relativity simulations with
post-Newtonian expansions | Numerical simulations of 15 orbits of an equal-mass binary black hole system
are presented. Gravitational waveforms from these simulations, covering more
than 30 cycles and ending about 1.5 cycles before merger, are compared with
those from quasi-circular zero-spin post-Newtonian (PN) formulae. The
cumulative phase uncertainty of these comparisons is about 0.05 radians,
dominated by effects arising from the small residual spins of the black holes
and the small residual orbital eccentricity in the simulations. Matching
numerical results to PN waveforms early in the run yields excellent agreement
(within 0.05 radians) over the first $\sim 15$ cycles, thus validating the
numerical simulation and establishing a regime where PN theory is accurate. In
the last 15 cycles to merger, however, {\em generic} time-domain Taylor
approximants build up phase differences of several radians. But, apparently by
coincidence, one specific post-Newtonian approximant, TaylorT4 at 3.5PN order,
agrees much better with the numerical simulations, with accumulated phase
differences of less than 0.05 radians over the 30-cycle waveform.
Gravitational-wave amplitude comparisons are also done between numerical
simulations and post-Newtonian, and the agreement depends on the post-Newtonian
order of the amplitude expansion: the amplitude difference is about 6--7% for
zeroth order and becomes smaller for increasing order. A newly derived 3.0PN
amplitude correction improves agreement significantly ($<1%$ amplitude
difference throughout most of the run, increasing to 4% near merger) over the
previously known 2.5PN amplitude terms.
| gr-qc | numerical simulations of 15 orbits of an equalmass binary black hole system are presented gravitational waveforms from these simulations covering more than 30 cycles and ending about 15 cycles before merger are compared with those from quasicircular zerospin postnewtonian pn formulae the cumulative phase uncertainty of these comparisons is about 005 radians dominated by effects arising from the small residual spins of the black holes and the small residual orbital eccentricity in the simulations matching numerical results to pn waveforms early in the run yields excellent agreement within 005 radians over the first sim 15 cycles thus validating the numerical simulation and establishing a regime where pn theory is accurate in the last 15 cycles to merger however em generic timedomain taylor approximants build up phase differences of several radians but apparently by coincidence one specific postnewtonian approximant taylort4 at 35pn order agrees much better with the numerical simulations with accumulated phase differences of less than 005 radians over the 30cycle waveform gravitationalwave amplitude comparisons are also done between numerical simulations and postnewtonian and the agreement depends on the postnewtonian order of the amplitude expansion the amplitude difference is about 67 for zeroth order and becomes smaller for increasing order a newly derived 30pn amplitude correction improves agreement significantly 1 amplitude difference throughout most of the run increasing to 4 near merger over the previously known 25pn amplitude terms | [['numerical', 'simulations', 'of', '15', 'orbits', 'of', 'an', 'equalmass', 'binary', 'black', 'hole', 'system', 'are', 'presented', 'gravitational', 'waveforms', 'from', 'these', 'simulations', 'covering', 'more', 'than', '30', 'cycles', 'and', 'ending', 'about', '15', 'cycles', 'before', 'merger', 'are', 'compared', 'with', 'those', 'from', 'quasicircular', 'zerospin', 'postnewtonian', 'pn', 'formulae', 'the', 'cumulative', 'phase', 'uncertainty', 'of', 'these', 'comparisons', 'is', 'about', '005', 'radians', 'dominated', 'by', 'effects', 'arising', 'from', 'the', 'small', 'residual', 'spins', 'of', 'the', 'black', 'holes', 'and', 'the', 'small', 'residual', 'orbital', 'eccentricity', 'in', 'the', 'simulations', 'matching', 'numerical', 'results', 'to', 'pn', 'waveforms', 'early', 'in', 'the', 'run', 'yields', 'excellent', 'agreement', 'within', '005', 'radians', 'over', 'the', 'first', 'sim', '15', 'cycles', 'thus', 'validating', 'the', 'numerical', 'simulation', 'and', 'establishing', 'a', 'regime', 'where', 'pn', 'theory', 'is', 'accurate', 'in', 'the', 'last', '15', 'cycles', 'to', 'merger', 'however', 'em', 'generic', 'timedomain', 'taylor', 'approximants', 'build', 'up', 'phase', 'differences', 'of', 'several', 'radians', 'but', 'apparently', 'by', 'coincidence', 'one', 'specific', 'postnewtonian', 'approximant', 'taylort4', 'at', '35pn', 'order', 'agrees', 'much', 'better', 'with', 'the', 'numerical', 'simulations', 'with', 'accumulated', 'phase', 'differences', 'of', 'less', 'than', '005', 'radians', 'over', 'the', '30cycle', 'waveform', 'gravitationalwave', 'amplitude', 'comparisons', 'are', 'also', 'done', 'between', 'numerical', 'simulations', 'and', 'postnewtonian', 'and', 'the', 'agreement', 'depends', 'on', 'the', 'postnewtonian', 'order', 'of', 'the', 'amplitude', 'expansion', 'the', 'amplitude', 'difference', 'is', 'about', '67', 'for', 'zeroth', 'order', 'and', 'becomes', 'smaller', 'for', 'increasing', 'order', 'a', 'newly', 'derived', '30pn', 'amplitude', 'correction', 'improves', 'agreement', 'significantly', '1', 'amplitude', 'difference', 'throughout', 'most', 'of', 'the', 'run', 'increasing', 'to', '4', 'near', 'merger', 'over', 'the', 'previously', 'known', '25pn', 'amplitude', 'terms']] | [-0.18039094847329534, 0.1170702429115144, -0.04623303983138981, 0.0836006754492348, -0.023057135483706453, -0.04505089368765542, 0.0415448076107092, 0.32796627676959605, -0.15210294557195814, -0.37076172211293607, 0.08354696062945305, -0.3345539725020462, -0.07924424566734697, 0.2801307766423417, 0.0019168081449238083, 0.04880278098698509, 0.11667043143485381, -0.009643282912084874, -0.17947630607215317, -0.24003095108767486, 0.223601157311286, 0.1058316990027475, 0.13439053198730877, -0.08872913865840251, 0.0494517039590708, -0.02462756434057548, -0.05758758371137903, -0.028709019325049965, -0.17032552496345493, 0.018364271249556464, 0.2498339101331645, 0.018697149255661714, 0.17959410323202277, -0.4097598758915907, -0.17944391512584829, 0.03552893322193995, 0.17330841062434577, 0.1304849989615824, -0.01590862857478636, -0.23850363467579977, 0.11925298088109161, -0.2711404672042274, -0.11770055391764195, -0.031900868189032906, 0.08569929025306199, 0.022387579182934197, -0.25432948659005933, 0.15263936063467057, 0.026031758640338933, 0.030823648160545048, -0.026427118790783154, -0.1521124898580145, -0.01781965446523042, 0.09303555843607002, 0.07953576796117859, 0.12961583547006947, 0.10316486811749473, -0.0719221293606225, -0.08804564408564095, 0.387605163666711, -0.03290964948028297, -0.10119191861613297, 0.1482180335122009, -0.2549751893153603, -0.05954442643211736, 0.2428798215420935, 0.12018371817742018, 0.12166097631887225, -0.07728996685105284, 0.016692182386092973, 0.115519939400748, 0.2644304589241218, 0.17566093941432492, -0.020022046385943994, 0.2564041961009085, 0.14360090777573345, -0.009329501377923275, 0.047274421439977926, -0.12273130341871982, -0.14866898291424277, -0.2786493712409486, -0.024009358850120576, -0.14557244655130522, 0.04337966372258961, -0.2201924169830217, -0.10311820174645353, 0.35919409170172417, 0.14653330756971122, 0.15635607462573287, 0.09460296033417995, 0.3124861186953132, 0.1087629872385519, 0.011353542282561965, 0.06453865422818006, 0.34679338155880507, 0.1640115163805956, 0.05834049559299606, -0.20929898439274716, 0.05277954833069201, 0.03669054145896028] |
710.0159 | Implementation of non-linear gauge-fixing in FeynArts package | Feynman rules for the Standard Model including non-linear gauges are derived
and implemented in the FeynArts package. The calculations using FeynArts with
the new rules show that tree-level amplitudes are gauge invariant and that
renormalization is not spoiled for one-loop calculations. The FeynArts model
files are available at http://www.fi.lt/~garfield/SM/
| hep-ph | feynman rules for the standard model including nonlinear gauges are derived and implemented in the feynarts package the calculations using feynarts with the new rules show that treelevel amplitudes are gauge invariant and that renormalization is not spoiled for oneloop calculations the feynarts model files are available at httpwwwfiltgarfieldsm | [['feynman', 'rules', 'for', 'the', 'standard', 'model', 'including', 'nonlinear', 'gauges', 'are', 'derived', 'and', 'implemented', 'in', 'the', 'feynarts', 'package', 'the', 'calculations', 'using', 'feynarts', 'with', 'the', 'new', 'rules', 'show', 'that', 'treelevel', 'amplitudes', 'are', 'gauge', 'invariant', 'and', 'that', 'renormalization', 'is', 'not', 'spoiled', 'for', 'oneloop', 'calculations', 'the', 'feynarts', 'model', 'files', 'are', 'available', 'at', 'httpwwwfiltgarfieldsm']] | [-0.0696834593739671, 0.15414183881754676, -0.09704006997829613, 0.15551640574267367, -0.07524081981197621, -0.20107700012158602, 0.004232292373975118, 0.3974849379931887, -0.17327894099677602, -0.26494272945759195, 0.05276043014358341, -0.28158742204929393, -0.13244254724122584, 0.20888254040619358, 0.05840912639784316, 0.09460611903341487, 0.12157947738402679, -0.01433728743965427, -0.0968684890037063, -0.23350417082595717, 0.2822116455451275, 0.030934057955164462, 0.24716845895939818, 0.08271968232778211, 0.05746352796753248, 0.042157180345384404, -0.12710075511131436, -0.035609966046952955, -0.08171656001801846, 0.07540912330538656, 0.23691816602270896, 0.10856319024848442, 0.07195008788645889, -0.4233090308262035, -0.17121068182556579, -0.03305739525239915, 0.1276335603421709, 0.19553389332334822, -0.014490215243616452, -0.27134752296842635, 0.10345387224030371, -0.2529565643053502, -0.10238593903341098, -0.22840976330917329, -0.06858619387882452, -0.06556089376681484, -0.3465828302529796, 0.029814960653311573, -0.12176577192925227, 0.07114032963211987, 0.043016380368499085, -0.16698428872041404, -0.12253488752564105, 0.10528417575793962, 0.046291419508634135, 0.03570194006897509, 0.12708597599218288, -0.1586377620891047, -0.1564502650483822, 0.4492595364523974, -0.07745431186049245, -0.23111470877969018, 0.10378527862000435, -0.06439749458028625, -0.20810343946019808, 0.1048381954509144, 0.09245947267239292, 0.10808976815314963, -0.25729704364979017, 0.23335557842074195, -0.0035770814186738185, 0.12630345049547032, 0.05401676506153308, -0.007624380397222315, 0.1373932108411585, 0.05729580484330654, -0.14989154329911494, 0.07048017849835257, 0.027208001430456836, -0.1408745763474144, -0.46054391997555894, -0.049207918714576714, -0.0866729639916836, -0.08198022869055421, -0.10074127372293636, -0.1977202311391011, 0.35922291603249806, 0.19683339834834138, 0.06033824962529858, 0.1370450621470809, 0.309129958661894, 0.16715465530675525, 0.22481966755973795, 0.09637027927480328, 0.20961175214809677, 0.0786029575780655, 0.0495909748521323, -0.19904965233096542, -0.028000331639001768, 0.17315827499260195] |
710.016 | Affinity criterion for the quotient of an algebraic group by a
one-dimensional subgroup | In this work we show that the homogeneous space of an affine algebraic group
$G$ by a one-dimensional unipotent subgroup $H$ is affine if and only if the
subgroup is not contained in any reductive subgroup of $G$.
| math.AG | in this work we show that the homogeneous space of an affine algebraic group g by a onedimensional unipotent subgroup h is affine if and only if the subgroup is not contained in any reductive subgroup of g | [['in', 'this', 'work', 'we', 'show', 'that', 'the', 'homogeneous', 'space', 'of', 'an', 'affine', 'algebraic', 'group', 'g', 'by', 'a', 'onedimensional', 'unipotent', 'subgroup', 'h', 'is', 'affine', 'if', 'and', 'only', 'if', 'the', 'subgroup', 'is', 'not', 'contained', 'in', 'any', 'reductive', 'subgroup', 'of', 'g']] | [-0.22029231782806546, 0.1105062511698251, -0.09949938026501944, -0.07606660994688834, -0.17777672640391087, -0.10820356892470859, 0.017898339459574537, 0.4063136584468578, -0.3856832445231511, -0.14126507540870653, 0.11595300830729109, -0.22334603007000528, -0.11446946043227064, 0.19741416677195384, -0.19311937150594435, -0.13169678889741926, 0.07574416113723266, 0.19284407838590836, -0.06446877227924568, -0.3027694475297865, 0.4255633496336247, -0.10253134225250075, 0.23836449281263508, -0.020171973535693007, 0.07341604643060189, 0.015779334984376635, 0.0079615960681909, -0.016932123647788296, -0.08123168989646058, 0.06131431401560181, 0.328446471181355, 0.02848093736132509, 0.25916967697833715, -0.3521204029062861, -0.19964594254270196, 0.3435456243980872, 0.20224207198541416, -0.03978252160902086, -0.0535445846372137, -0.284269545668442, 0.11067631269658082, -0.17437198493433625, -0.16073986126943246, -0.00578016322106123, 0.1784426306962575, -0.08134588981537443, -0.2054296837212812, -0.0012702262580492779, 0.10294223429733201, 0.15065328950846665, 0.010553336408185331, -0.03560948829889592, -0.10905066808979762, 0.03780017914495578, -0.08408954316799186, 0.11614628913077085, 0.09559389754002423, -0.050343363931843715, -0.058168306775195036, 0.4796009675452584, -0.13319795620382616, -0.24973787783988213, 0.06302857688186984, -0.2544981747694117, -0.21116656155668592, 0.10870093881691757, 0.07337340908615213, 0.14802437059973417, -0.029452823225016658, 0.2774720930871186, -0.2557046423960281, 0.08356590962916687, -0.028442029302057466, -0.10409490557044353, 0.048556438696227576, 0.06859431287126713, 0.11437744802893385, 0.067097392447881, 0.09504961545922254, 0.17623653253050228, -0.4353788857789416, -0.19819821173472232, -0.14540635568923072, 0.13969688711260556, -0.09679674578939357, -0.16794867642027766, 0.3908055555933204, 0.03690408361389449, 0.09724332485347986, 0.06805008532185304, 0.1675668950927885, 0.04233849619662291, 0.040071629110331596, 0.23373946295070805, 0.09016668823498644, 0.23945958265961198, -0.255187546901748, -0.19848109699638658, -0.004886199524135966, 0.19452893253611891] |
710.0161 | Diffusive hidden Markov model characterization of DNA looping dynamics
in tethered particle experiments | In many biochemical processes, proteins bound to DNA at distant sites are
brought into close proximity by loops in the underlying DNA. For example, the
function of some gene-regulatory proteins depends on such DNA looping
interactions. We present a new technique for characterizing the kinetics of
loop formation in vitro, as observed using the tethered particle method, and
apply it to experimental data on looping induced by lambda repressor. Our
method uses a modified (diffusive) hidden Markov analysis that directly
incorporates the Brownian motion of the observed tethered bead. We compare
looping lifetimes found with our method (which we find are consistent over a
range of sampling frequencies) to those obtained via the traditional
threshold-crossing analysis (which can vary depending on how the raw data are
filtered in the time domain). Our method does not involve any time filtering
and can detect sudden changes in looping behavior. For example, we show how our
method can identify transitions between long-lived, kinetically distinct states
that would otherwise be difficult to discern.
| q-bio.QM | in many biochemical processes proteins bound to dna at distant sites are brought into close proximity by loops in the underlying dna for example the function of some generegulatory proteins depends on such dna looping interactions we present a new technique for characterizing the kinetics of loop formation in vitro as observed using the tethered particle method and apply it to experimental data on looping induced by lambda repressor our method uses a modified diffusive hidden markov analysis that directly incorporates the brownian motion of the observed tethered bead we compare looping lifetimes found with our method which we find are consistent over a range of sampling frequencies to those obtained via the traditional thresholdcrossing analysis which can vary depending on how the raw data are filtered in the time domain our method does not involve any time filtering and can detect sudden changes in looping behavior for example we show how our method can identify transitions between longlived kinetically distinct states that would otherwise be difficult to discern | [['in', 'many', 'biochemical', 'processes', 'proteins', 'bound', 'to', 'dna', 'at', 'distant', 'sites', 'are', 'brought', 'into', 'close', 'proximity', 'by', 'loops', 'in', 'the', 'underlying', 'dna', 'for', 'example', 'the', 'function', 'of', 'some', 'generegulatory', 'proteins', 'depends', 'on', 'such', 'dna', 'looping', 'interactions', 'we', 'present', 'a', 'new', 'technique', 'for', 'characterizing', 'the', 'kinetics', 'of', 'loop', 'formation', 'in', 'vitro', 'as', 'observed', 'using', 'the', 'tethered', 'particle', 'method', 'and', 'apply', 'it', 'to', 'experimental', 'data', 'on', 'looping', 'induced', 'by', 'lambda', 'repressor', 'our', 'method', 'uses', 'a', 'modified', 'diffusive', 'hidden', 'markov', 'analysis', 'that', 'directly', 'incorporates', 'the', 'brownian', 'motion', 'of', 'the', 'observed', 'tethered', 'bead', 'we', 'compare', 'looping', 'lifetimes', 'found', 'with', 'our', 'method', 'which', 'we', 'find', 'are', 'consistent', 'over', 'a', 'range', 'of', 'sampling', 'frequencies', 'to', 'those', 'obtained', 'via', 'the', 'traditional', 'thresholdcrossing', 'analysis', 'which', 'can', 'vary', 'depending', 'on', 'how', 'the', 'raw', 'data', 'are', 'filtered', 'in', 'the', 'time', 'domain', 'our', 'method', 'does', 'not', 'involve', 'any', 'time', 'filtering', 'and', 'can', 'detect', 'sudden', 'changes', 'in', 'looping', 'behavior', 'for', 'example', 'we', 'show', 'how', 'our', 'method', 'can', 'identify', 'transitions', 'between', 'longlived', 'kinetically', 'distinct', 'states', 'that', 'would', 'otherwise', 'be', 'difficult', 'to', 'discern']] | [-0.07480272963886238, 0.17192554316406286, -0.07589454917111792, 0.09310094841353639, -0.06079877528069905, -0.1549746950994626, 0.061356777835020124, 0.42365949818886506, -0.2962420892201849, -0.3156512149212849, 0.03941451986223878, -0.24530942534157157, -0.1947871227390491, 0.2240952561759616, -0.0252112293059348, 0.0031639932098208798, 0.09565941820240761, 0.03420986247954328, 0.022390471743805523, -0.16865207646703403, 0.24305325583417034, 0.03420182921477324, 0.2528277177573044, 0.03342930155464575, 0.08513746642199009, -0.006498101949912204, -0.016085194214384937, 0.00593152547189029, -0.15978653824341568, 0.11093111533754108, 0.22916079772300135, 0.10167175900334349, 0.22267988322512108, -0.4624409995003212, -0.23847350778785595, 0.12195125225788125, 0.18776971140060816, 0.1579383132130613, -0.021117291398092927, -0.28928234417145776, 0.06780135905447267, -0.10581941763490174, -0.0711499398778132, -0.11736256822106048, -0.0039801314492439906, 0.07225080624776589, -0.23871336146891559, 0.11482841995704544, 0.01626325949279801, 0.026020721787278205, -0.06284595688270438, -0.07275786164517035, -0.027683812047536734, 0.1694680114535714, 0.05903400576634873, -0.002577228292536277, 0.23496860994808597, -0.062171428957568296, -0.14820252204611456, 0.35090279289295334, -0.08416418398361235, -0.20373775035738062, 0.2395025573466965, -0.13450776383875918, -0.1737006602604934, 0.1586416753728119, 0.15041949857334944, 0.13418661884291197, -0.15262761693613153, 0.01068468596276513, 0.015117636590385975, 0.20065855989149997, 0.0734724258155336, -0.02130633165519795, 0.19163780642629286, 0.18675853584248286, 0.010461909437108476, 0.1533179220835783, -0.11821353544216581, -0.14085774132485926, -0.24721721771377078, -0.13070025612750316, -0.17904513598744862, 0.027857269182578748, -0.07700136541020396, -0.15998138672639148, 0.36376979628704575, 0.1627073700583854, 0.22116753108841736, 0.06240711744582644, 0.23066655580318096, 0.05559164122609455, 0.10222173478873171, 0.011184535722231723, 0.18537248784663107, 0.05157726861332604, 0.07342863558948635, -0.2649915917506497, 0.12832010096523183, 0.031137719699429602] |
710.0162 | On ground fields of arithmetic hyperbolic reflection groups. II | This paper continues arXiv.org:math.AG/0609256 and arXiv:0708.3991
Using authors's methods of 1980, 1981, some explicit finite sets of number
fields containing all ground fields of arithmetic hyperbolic reflection groups
in dimensions at least 4 are defined, and good explicit bounds of their degrees
(over Q) are obtained. This could be important for further classification.
Thus, now, an explicit bound of degree of ground fields of arithmetic
hyperbolic reflection groups is unknown in dimension 3 only.
| math.AG math.GT | this paper continues arxivorgmathag0609256 and arxiv07083991 using authorss methods of 1980 1981 some explicit finite sets of number fields containing all ground fields of arithmetic hyperbolic reflection groups in dimensions at least 4 are defined and good explicit bounds of their degrees over q are obtained this could be important for further classification thus now an explicit bound of degree of ground fields of arithmetic hyperbolic reflection groups is unknown in dimension 3 only | [['this', 'paper', 'continues', 'arxivorgmathag0609256', 'and', 'arxiv07083991', 'using', 'authorss', 'methods', 'of', '1980', '1981', 'some', 'explicit', 'finite', 'sets', 'of', 'number', 'fields', 'containing', 'all', 'ground', 'fields', 'of', 'arithmetic', 'hyperbolic', 'reflection', 'groups', 'in', 'dimensions', 'at', 'least', '4', 'are', 'defined', 'and', 'good', 'explicit', 'bounds', 'of', 'their', 'degrees', 'over', 'q', 'are', 'obtained', 'this', 'could', 'be', 'important', 'for', 'further', 'classification', 'thus', 'now', 'an', 'explicit', 'bound', 'of', 'degree', 'of', 'ground', 'fields', 'of', 'arithmetic', 'hyperbolic', 'reflection', 'groups', 'is', 'unknown', 'in', 'dimension', '3', 'only']] | [-0.1841349931025546, 0.15750374784872528, -0.052895165361106805, 0.07161931865625339, -0.05655317743666062, -0.11933068032950571, 0.03727317685803577, 0.35968912274206744, -0.2185463269100818, -0.3260776067012283, 0.14737576048196077, -0.23632598068080332, -0.11684624040626908, 0.24801473590315715, -0.09912094276092231, 0.02568462705207759, -0.013801008202964822, 0.09906296106055379, -0.06216872417151111, -0.361080751224893, 0.32775681363801434, -0.023447626589299882, 0.18285109480198677, 0.04271097162304676, 0.10373149044199349, 0.002721023803245123, -0.04271739738521307, 0.01885161911813568, -0.11679602661233855, 0.17011087572151054, 0.30422351390365765, 0.08186753021795558, 0.21482864278049707, -0.3643459128215909, -0.1838632707598887, 0.14311164879074242, 0.1730981170604873, 0.10524590406566858, -0.011176803111009402, -0.2348949805616516, 0.0794495999149672, -0.1444109947062241, -0.19223677166035935, -0.07841921586396607, 0.05675115732935398, 0.019055144727383167, -0.23588290614114232, 0.06219060070914765, 0.08039435950165283, 0.19483962223852333, -0.04584952519109396, -0.1782072015514929, -0.010152049796426133, 0.16357549032904461, 0.022612566482403302, 0.012896473793797705, 0.01758494544519137, -0.1226555032476987, -0.1376025036283552, 0.32024518716187306, 0.015413697821738785, -0.1676525018139653, 0.20519185447682664, -0.14760483550035383, -0.14618971807984252, 0.19061991227918293, 0.18438293916262585, 0.11779225228532944, -0.07727416002587097, 0.1784712418974441, -0.10919824687202703, 0.15264889666785117, 0.1739562529534714, 0.027963992157211043, 0.11097558841670621, 0.05740963769693897, 0.06017575344096308, 0.10151401532603402, -0.0018640293050812531, -0.005796722439436676, -0.33294958320178397, -0.17808582112974525, -0.15825259501962885, 0.08490352321747843, -0.11519116480884219, -0.1476803718003993, 0.35332042632037647, 0.06599939966650858, 0.11949294671569377, 0.07269064584517315, 0.2627010837656586, 0.08492246358368341, 0.020032894526518984, 0.11291966941016279, 0.15326638223343428, 0.18114511846016124, -0.05102733619134771, -0.09482623179991768, -0.00851163409063465, 0.09938229401021788] |
710.0163 | A few remarks about linear operators and disconnected open sets in the
plane | Some aspects of analysis on disconnected open subsets of the plane with
connected fractal boundary are discussed.
| math.CA | some aspects of analysis on disconnected open subsets of the plane with connected fractal boundary are discussed | [['some', 'aspects', 'of', 'analysis', 'on', 'disconnected', 'open', 'subsets', 'of', 'the', 'plane', 'with', 'connected', 'fractal', 'boundary', 'are', 'discussed']] | [-0.23119251539601998, 0.1579936959725969, -0.02020542893339606, 0.0570615790784359, -0.09242163050700636, -0.11104916562052335, 0.056448802132816875, 0.35971053514410467, -0.2158142599989386, -0.1549096566570156, 0.23231830623219996, -0.361278515035177, -0.1363559161477229, 0.2580062913544038, -0.06218089481048724, 0.02533102807972361, 0.09118040492210318, 0.05916804666904842, -0.008030619472265244, -0.26106104627251625, 0.47396805093568917, -0.14867236969225547, 0.25572913863203106, 0.1317882325281115, -0.02474397766020368, -0.04204219401649693, -0.14977036630186966, 0.14675464834470084, -0.19876973254277425, 0.16230433639686773, 0.24265365565524383, 0.11741675050271784, 0.1480741023140795, -0.4106181649600758, -0.23883672146236196, 0.045537846491617316, 0.13015357489861987, -0.07529125822817578, 0.006532532840912395, -0.3399997506948078, 0.08803184067501742, 0.013001115006559035, -0.2584649990586674, -0.02037808359326685, 0.028289101579610038, 0.06461910169352503, -0.05776952141348053, 0.010809188379960902, 0.018171016565140558, 0.06840711547171369, -0.07615220669985694, -0.16610079083372564, -0.04163010067799512, 0.15407704361988342, 0.009055886910680462, 0.06179926355424173, 0.10114390063373481, -0.011205056737012723, -0.09325720605385654, 0.314365041688742, 0.12200666016296428, -0.2852924182353651, 0.24182048571460388, -0.18319087563192143, -0.2072271691799602, 0.09024856831221019, 0.1819883591550238, 0.03144239557578283, -0.1484838605803602, 0.16666017319349682, -0.08304221598732778, 0.07181378861423582, 0.10867708031197681, 0.040412549641640746, 0.18648334735018365, 0.22881712917895877, 0.048684927525327486, 0.23153610346729264, 0.04107990419930395, -0.18271726200028376, -0.39550097768797593, -0.051326059626744074, -0.12239709773840492, 0.036037012338912225, -0.16266821817878416, -0.29914893385242014, 0.4192095442729838, 0.07964045516050913, 0.23336829951799967, -0.0834126608336673, 0.27720634946051764, 0.011414594893508098, 0.024332346805535695, 0.14998826148974545, 0.08480184117968961, 0.1910049152724883, -0.052015068420373345, -0.15853924841126976, -0.0035410332219565615, 0.10175621587618747] |
710.0164 | Bochner-Kaehler metrics and connections of Ricci type | We apply the results from the article Cahen, Schwachh\"ofer: Special
symplectic connections, to the case of Bochner-Kaehler metrics. We obtain a
(local) classification of these based on the orbit types of the adjoint action
in $su(n,1)$. The relation between Sasaki and Bochner-Kaehler metrics in cone
and transveral metrics constructions is discussed. The connection of the
special symplectic and Weyl connections is outlined. The duality between the
Ricci-type and Bochner-Kaehler metrics is shown.
| math.DG | we apply the results from the article cahen schwachhofer special symplectic connections to the case of bochnerkaehler metrics we obtain a local classification of these based on the orbit types of the adjoint action in sun1 the relation between sasaki and bochnerkaehler metrics in cone and transveral metrics constructions is discussed the connection of the special symplectic and weyl connections is outlined the duality between the riccitype and bochnerkaehler metrics is shown | [['we', 'apply', 'the', 'results', 'from', 'the', 'article', 'cahen', 'schwachhofer', 'special', 'symplectic', 'connections', 'to', 'the', 'case', 'of', 'bochnerkaehler', 'metrics', 'we', 'obtain', 'a', 'local', 'classification', 'of', 'these', 'based', 'on', 'the', 'orbit', 'types', 'of', 'the', 'adjoint', 'action', 'in', 'sun1', 'the', 'relation', 'between', 'sasaki', 'and', 'bochnerkaehler', 'metrics', 'in', 'cone', 'and', 'transveral', 'metrics', 'constructions', 'is', 'discussed', 'the', 'connection', 'of', 'the', 'special', 'symplectic', 'and', 'weyl', 'connections', 'is', 'outlined', 'the', 'duality', 'between', 'the', 'riccitype', 'and', 'bochnerkaehler', 'metrics', 'is', 'shown']] | [-0.18543775148605668, 0.027288231313125126, -0.07602760146902357, 0.10342007086243636, -0.09463363477132386, -0.1355607663345937, 0.016678669389673613, 0.36426718522691065, -0.22799297714502448, -0.21634786747421864, 0.09399491720574184, -0.2814384734633172, -0.2662348188459873, 0.17275146221638554, -0.1472594743827358, -0.006134815151906676, 0.03718819812638685, 0.08850402735535884, -0.1890281687438902, -0.27471956367500955, 0.4376106468650202, 0.04185044647116835, 0.2909575489142703, 0.09962523631576106, 0.11912723436641197, -0.019055068195383582, -0.07284992630593479, -0.0008618501532408926, -0.15099096353838426, 0.12178288779169735, 0.21860086804048884, 0.08665942120650369, 0.13773990876507014, -0.33651321418842095, -0.132434546494753, 0.10749063917642666, 0.058148029963679924, 0.02257215436030593, -0.014058417358480964, -0.33014348791847525, 0.08016480854065675, -0.1303787140770712, -0.10500862718294633, -0.06633398114030974, 0.006964412071586897, 0.03127655332597593, -0.1689755654660985, -0.0014240046956628147, 0.10091997210919443, 0.04611420480068773, -0.0917282171317816, -0.06813528774202698, -0.043296595213986516, 0.11741535590651135, 0.08910326183993472, 0.03460581222963002, 0.037163148556525506, -0.06782082094772098, -0.14682000127827954, 0.39291330095794463, -0.0458881241760941, -0.26788016509898527, 0.18754252027267487, -0.07933616190631357, -0.1455660551178476, -0.012613053006740907, 0.13254122231026283, 0.14734187178934613, -0.07389261768225373, 0.15115688482183032, -0.06633052822305924, 0.026487482388296887, 0.1107586895684815, -0.004217707021679316, 0.12450241364098878, 0.09966497405225204, 0.07535951834870502, 0.10932462874754695, -0.03519435956776659, -0.11833828776272842, -0.34082518248922294, -0.21244357099446157, -0.08827267018043333, 0.08518965000338438, -0.12451575546341094, -0.12943164323991774, 0.41665879295518, 0.04910141453405635, 0.1852576393672886, 0.08720882599138552, 0.20297344574808246, 0.038310798842252955, 0.0516704195825797, 0.07844344356433591, 0.2535791906217734, 0.25536769373704576, 0.021582696897288162, -0.16982369655549215, -0.0745286867281215, 0.17884135507241203] |
710.0165 | Charm-Production in e^+e^- Annihilation Around 4 GeV | Using the CLEO-c detector at the Cornell Electron Storage Ring, we have
measured inclusive and exclusive cross sections for the production of $D^+$,
$D^0$ and $D_s^+$ mesons in $e^{+}e^{-}$ annihilations at thirteen
center-of-mass energies between 3.97 and 4.26 GeV. Exclusive cross sections are
presented for final states consisting of two charmed mesons ($D\bar{D}$,
$D^{*}\bar{D}$, $D^{*}\bar{D}^{*}$, $D_s^+ D_s^-$, $D_s^{*+} D_s^-$, and
$D_s^{*+} D_s^{*-}$) and for processes in which the charmed meson pair is
accompanied by a pion.
| hep-ex | using the cleoc detector at the cornell electron storage ring we have measured inclusive and exclusive cross sections for the production of d d0 and d_s mesons in ee annihilations at thirteen centerofmass energies between 397 and 426 gev exclusive cross sections are presented for final states consisting of two charmed mesons dbard dbard dbard d_s d_s d_s d_s and d_s d_s and for processes in which the charmed meson pair is accompanied by a pion | [['using', 'the', 'cleoc', 'detector', 'at', 'the', 'cornell', 'electron', 'storage', 'ring', 'we', 'have', 'measured', 'inclusive', 'and', 'exclusive', 'cross', 'sections', 'for', 'the', 'production', 'of', 'd', 'd0', 'and', 'd_s', 'mesons', 'in', 'ee', 'annihilations', 'at', 'thirteen', 'centerofmass', 'energies', 'between', '397', 'and', '426', 'gev', 'exclusive', 'cross', 'sections', 'are', 'presented', 'for', 'final', 'states', 'consisting', 'of', 'two', 'charmed', 'mesons', 'dbard', 'dbard', 'dbard', 'd_s', 'd_s', 'd_s', 'd_s', 'and', 'd_s', 'd_s', 'and', 'for', 'processes', 'in', 'which', 'the', 'charmed', 'meson', 'pair', 'is', 'accompanied', 'by', 'a', 'pion']] | [-0.03980674127447664, 0.29374288121777536, -0.07403600252674598, 0.1539481708758486, 0.09547992425627615, -0.1709102326697719, 0.0764350998705547, 0.28373575138654195, -0.13606867171505369, -0.14228598094594322, -0.2361707343738281, -0.5135159274857295, 0.16250313464307078, 0.07112147570143479, 0.2418549533835367, 0.23044532229878792, 0.1928165508311634, 0.019295548327806358, -0.0012855764882835118, -0.18246961866603478, 0.2961386008905002, -0.01676783034283864, 0.1483755209115579, 0.2812101340754644, -0.03589268249312514, 0.07173796652473118, -0.039966137138483314, -0.15362546699562749, -0.18642353664127817, 0.07533581433955605, 0.30408103665716846, 0.07540586987804425, -0.01749292976762119, -0.2567914598621428, 0.057479119920907054, 0.20031706496190868, 0.2317748685600236, 0.04409196556355853, 0.03710999848370097, -0.41852955025081573, 0.2117896618774945, -0.23782852387643957, -0.040610116054794115, -0.0813767704622526, 0.10311246120468959, -0.12629194371402264, -0.34364663231137554, 0.10632622077767002, -0.1938549387758892, 0.09902267784529709, -0.0890180115422577, -0.3514643041907172, -0.0427120624379696, -0.0872871300793792, 0.042429266371886785, 0.13328723219149796, 0.2702006044871125, -0.08854545286464456, -0.2965131827115424, 0.380102897479542, 0.005543842390914888, -0.18381438539118358, 0.13084422830663817, -0.2229428132444522, -0.08304081955238392, 0.26376482541672885, 0.3144104363715374, 0.0012000671980020247, -0.2723549904032169, 0.12014980638310876, -0.06146755306001164, 0.14149224931852108, 0.19805065867809676, 0.16080651737100102, 0.1435211720741599, 0.2537025711116209, -0.1387056753703387, -0.019876454076055733, -0.1189181899749919, -0.005669454994954561, -0.4416185521863793, -0.13566498214526004, -0.05270182383001635, 0.17447726047401757, 0.03205436627525303, 0.04518690197973659, 0.3461539644417108, -0.17046804628587683, 0.4577816433126205, -0.07223872603744415, 0.32959934858311163, -0.009310658720910157, -0.012986382469534874, 0.1989721177501212, 0.3614204781816194, 0.26738821173785254, 0.21778883162493767, -0.3452125715496215, -0.025349719682708383, 0.053380474521729504] |
710.0166 | Comments on the ERA-2005 numerical theory of Earth rotation | Two papers recently published in Celestial Mechanics (Krasinsky 2006, and
Krasinsky and Vasilyev 2006) have presented a model for Earth-rotation
variations, called ERA-2005, based on numerical integration of a new set of
equations for the rotation of a deformable Earth followed by a fit of the
results of the integration to VLBI data. These papers claimed that this model
was superior to any other existing model. The purpose of this Note is to bring
to light fundamental errors in the derivation of the basic equations of the new
theory, compounded by serious deficiencies in the process of fitting to the
data; they make ERA-2005 unsuitable for consideration as a geophysics-based
model of nutation and precession.
| astro-ph | two papers recently published in celestial mechanics krasinsky 2006 and krasinsky and vasilyev 2006 have presented a model for earthrotation variations called era2005 based on numerical integration of a new set of equations for the rotation of a deformable earth followed by a fit of the results of the integration to vlbi data these papers claimed that this model was superior to any other existing model the purpose of this note is to bring to light fundamental errors in the derivation of the basic equations of the new theory compounded by serious deficiencies in the process of fitting to the data they make era2005 unsuitable for consideration as a geophysicsbased model of nutation and precession | [['two', 'papers', 'recently', 'published', 'in', 'celestial', 'mechanics', 'krasinsky', '2006', 'and', 'krasinsky', 'and', 'vasilyev', '2006', 'have', 'presented', 'a', 'model', 'for', 'earthrotation', 'variations', 'called', 'era2005', 'based', 'on', 'numerical', 'integration', 'of', 'a', 'new', 'set', 'of', 'equations', 'for', 'the', 'rotation', 'of', 'a', 'deformable', 'earth', 'followed', 'by', 'a', 'fit', 'of', 'the', 'results', 'of', 'the', 'integration', 'to', 'vlbi', 'data', 'these', 'papers', 'claimed', 'that', 'this', 'model', 'was', 'superior', 'to', 'any', 'other', 'existing', 'model', 'the', 'purpose', 'of', 'this', 'note', 'is', 'to', 'bring', 'to', 'light', 'fundamental', 'errors', 'in', 'the', 'derivation', 'of', 'the', 'basic', 'equations', 'of', 'the', 'new', 'theory', 'compounded', 'by', 'serious', 'deficiencies', 'in', 'the', 'process', 'of', 'fitting', 'to', 'the', 'data', 'they', 'make', 'era2005', 'unsuitable', 'for', 'consideration', 'as', 'a', 'geophysicsbased', 'model', 'of', 'nutation', 'and', 'precession']] | [-0.06794866690844563, 0.03579492968440588, -0.10816000511736742, 0.03290339300456578, -0.09729211717422004, -0.1064525179722945, 0.046290422463373816, 0.3086418788713802, -0.22845180227471115, -0.3431310548065604, 0.1142520846759518, -0.2654862021338756, -0.1373788863254179, 0.22932082918123342, -0.12790749146370217, 0.08291902895351606, 0.09720665065937542, -0.029472180604768385, -0.05945826965762535, -0.24668195644127472, 0.2740402879384679, 0.09568279396210398, 0.2371667645472501, 0.013327410095371306, 0.11632976704900752, -0.014694665119999886, -0.10234186567998092, 0.014015325453198915, -0.11793814048444672, 0.17120828837089772, 0.21439220083785976, 0.12760200444193157, 0.25275799547255573, -0.4184492725513077, -0.23411631485214457, 0.03634432009130251, 0.09001695253287575, 0.10826799876537864, -0.02825972766420039, -0.28285004689158605, 0.04125574793267463, -0.18771965666590923, -0.14233765882922203, -0.05509285650207728, 0.07661881866182998, 0.030108531184461235, -0.23575694431721267, 0.06887553667183965, 0.0864826991206168, 0.07253462455160584, -0.07621362980405268, -0.12310724713357299, 0.020907548474497162, 0.09926228733300897, 0.07597065716748018, 0.042911499385289584, 0.05537982808475915, -0.07253799209969916, -0.14015265863729706, 0.41841855944533435, -0.04980975467645164, -0.16780260454730264, 0.16142919817372917, -0.11400425090479464, -0.17652426459660223, 0.11277726327534765, 0.18004599261413595, 0.09008443315646478, -0.19274692589533515, 0.03799070981507872, -0.03620707823392877, 0.14423855473952635, 0.04844305631870936, -0.045878626134903504, 0.19249328787970757, 0.15915200587395312, -0.026401961902073317, 0.06967807311957586, -0.10181593434078552, -0.09915194862904693, -0.29243441922257524, -0.15068979607479246, -0.14769511274893635, 0.019584315858082846, -0.02453534925799821, -0.1526948566648311, 0.3984453391749412, 0.19059938940335996, 0.16523452871063324, 0.008779430848205396, 0.30878000197532984, 0.06958071510195753, 0.07243367800921467, 0.0306488325794427, 0.2948718984844163, 0.1335950555439922, 0.11208417994618815, -0.16330137740754122, 0.04373250771979136, 0.046847156972424794] |
710.0167 | Dominant K-theory and Integrable highest weight representations of
Kac-Moody groups | We give a topological interpretation of the highest weight representations of
Kac-Moody groups. Given the unitary form G of a Kac-Moody group (over C), we
define a version of equivariant K-theory, K_G on the category of proper G-CW
complexes. We then study Kac-Moody groups of compact type in detail (see
Section 2 for definitions). In particular, we show that the Grothendieck group
of integrable hightest weight representations of a Kac-Moody group G of compact
type, maps isomorphically onto K_G^*(EG), where $EG$ is the classifying space
of proper G-actions. For the affine case, this agrees very well with recent
results of Freed-Hopkins-Teleman. We also explicitly compute K_G^*(EG) for
Kac-Moody groups of extended compact type, which includes the Kac-Moody group
E_{10}.
| math.AT math.KT | we give a topological interpretation of the highest weight representations of kacmoody groups given the unitary form g of a kacmoody group over c we define a version of equivariant ktheory k_g on the category of proper gcw complexes we then study kacmoody groups of compact type in detail see section 2 for definitions in particular we show that the grothendieck group of integrable hightest weight representations of a kacmoody group g of compact type maps isomorphically onto k_geg where eg is the classifying space of proper gactions for the affine case this agrees very well with recent results of freedhopkinsteleman we also explicitly compute k_geg for kacmoody groups of extended compact type which includes the kacmoody group e_10 | [['we', 'give', 'a', 'topological', 'interpretation', 'of', 'the', 'highest', 'weight', 'representations', 'of', 'kacmoody', 'groups', 'given', 'the', 'unitary', 'form', 'g', 'of', 'a', 'kacmoody', 'group', 'over', 'c', 'we', 'define', 'a', 'version', 'of', 'equivariant', 'ktheory', 'k_g', 'on', 'the', 'category', 'of', 'proper', 'gcw', 'complexes', 'we', 'then', 'study', 'kacmoody', 'groups', 'of', 'compact', 'type', 'in', 'detail', 'see', 'section', '2', 'for', 'definitions', 'in', 'particular', 'we', 'show', 'that', 'the', 'grothendieck', 'group', 'of', 'integrable', 'hightest', 'weight', 'representations', 'of', 'a', 'kacmoody', 'group', 'g', 'of', 'compact', 'type', 'maps', 'isomorphically', 'onto', 'k_geg', 'where', 'eg', 'is', 'the', 'classifying', 'space', 'of', 'proper', 'gactions', 'for', 'the', 'affine', 'case', 'this', 'agrees', 'very', 'well', 'with', 'recent', 'results', 'of', 'freedhopkinsteleman', 'we', 'also', 'explicitly', 'compute', 'k_geg', 'for', 'kacmoody', 'groups', 'of', 'extended', 'compact', 'type', 'which', 'includes', 'the', 'kacmoody', 'group', 'e_10']] | [-0.1709570674314003, 0.06208300130072467, -0.08539497600226052, 0.055293895031229175, -0.1284197004519981, -0.09463236368550308, 0.0015098055431233912, 0.4084296160987739, -0.30630286914649707, -0.17520684340230092, 0.11402409731065212, -0.19848568312038972, -0.15517539785500487, 0.21280708811085286, -0.17034431104548275, -0.12056337188977491, 0.045699398613390355, 0.1580522638296002, -0.13709310717190262, -0.2803197915358208, 0.45436364319978345, -0.04199646345885663, 0.24524414742461823, -0.011199899350999501, 0.12500737852352703, 0.0349086203385578, -0.06303996009077749, -0.016506132188279198, -0.13044189795951314, 0.16456541989564671, 0.34536611650074867, 0.02492827225621019, 0.15484138656556123, -0.31530058422479135, -0.15026931254422002, 0.18483686950539463, 0.11635620629348178, 0.03928357062777023, -0.04390950614670773, -0.30912832562321924, 0.10422896548848727, -0.2623634559006013, -0.1560445882396066, -0.0431083121642085, 0.10610444575210969, -0.01871410375641627, -0.17966288517646747, 0.030116391318783985, 0.055559904355724374, 0.10303842040292661, -0.12459302932056117, -0.12071419450261726, -0.05688480042314542, 0.11564557672606716, -0.10459974663962353, 0.0319972165663534, 0.1132710346518534, -0.12007228121892068, -0.14841798265667328, 0.4060132001719341, -0.06396198914193645, -0.18986215301114936, 0.1139716259725713, -0.21448208260799534, -0.24005903098892806, 0.11164219661390987, 0.09672439222802119, 0.12371106284815048, 0.00661063379736553, 0.196592645639361, -0.14531281205889737, 0.021250998530815884, 0.04343113915769961, 0.014438934580037564, 0.12039168837183187, 0.09950414908736752, 0.061342041798995744, 0.124305941294959, 0.04469963990288369, 0.015474245123814085, -0.39998437892966743, -0.23527476753425336, -0.07868307571384478, 0.14045437359941546, -0.0962980421830033, -0.16948402653536598, 0.4277322971812, 0.0498662516876156, 0.18281097008830643, 0.15331606164369893, 0.13156149754951033, 0.04739124921816883, 0.10661987903435587, 0.06037383620900198, 0.05523508861018666, 0.2449970028547827, -0.10109064305815364, -0.13845309672941422, -0.10215485383453378, 0.23989297085088387] |
710.0168 | The Dense Gas in the Central Kiloparsec of NGC 6946 | We present observations of the HCN and HCO+ J=1-0 transitions in the center
of the nearby spiral galaxy NGC 6946 made with the BIMA and CARMA
interferometers. Using the BIMA SONG CO map, we investigate the change in the
I_HCN/I_CO and I_ HCO/I_CO integrated intensity ratios as a function of radius
in the central kiloparsec of the galaxy, and find that they are strongly
concentrated at the center. We use the 2MASS K_S band image to find the stellar
surface density, and then construct a map of the hydrostatic midplane pressure.
We apply a PDR model to the observed I_HCN/I_HCO+ integrated intensity ratio to
calculate the number density of molecular hydrogen in the dense gas tracer
emitting region, and find that it is roughly constant at 10^5 cm^-3 across our
map. We explore two hypotheses for the distribution of the dense gas. If the
HCN and HCO+ emission comes from self-gravitating density peaks inside of a
less dense gas distribution, there is a linear proportionality between the
internal velocity dispersion of the dense gas and the size of the density peak.
Alternatively, the HCN and HCO+ emission could come from dense gas
homogeneously distributed throughout the center and bound by ambient pressure,
similar to what is observed toward the center of the Milky Way. We find both of
these hypotheses to be plausible. We fit the relationships between I_HCN,
I_HCO+, and I_CO. Correlations between the hydrostatic midplane pressure and
I_HCN and I_HCO+ are demonstrated, and power law fits are provided. We confirm
the validity of a relation found by Blitz & Rosolowsky (2006) between pressure
and the molecular to atomic gas ratio in the high hydrostatic midplane pressure
regime (10^6-10^8 cm^-3 K).
| astro-ph | we present observations of the hcn and hco j10 transitions in the center of the nearby spiral galaxy ngc 6946 made with the bima and carma interferometers using the bima song co map we investigate the change in the i_hcni_co and i_ hcoi_co integrated intensity ratios as a function of radius in the central kiloparsec of the galaxy and find that they are strongly concentrated at the center we use the 2mass k_s band image to find the stellar surface density and then construct a map of the hydrostatic midplane pressure we apply a pdr model to the observed i_hcni_hco integrated intensity ratio to calculate the number density of molecular hydrogen in the dense gas tracer emitting region and find that it is roughly constant at 105 cm3 across our map we explore two hypotheses for the distribution of the dense gas if the hcn and hco emission comes from selfgravitating density peaks inside of a less dense gas distribution there is a linear proportionality between the internal velocity dispersion of the dense gas and the size of the density peak alternatively the hcn and hco emission could come from dense gas homogeneously distributed throughout the center and bound by ambient pressure similar to what is observed toward the center of the milky way we find both of these hypotheses to be plausible we fit the relationships between i_hcn i_hco and i_co correlations between the hydrostatic midplane pressure and i_hcn and i_hco are demonstrated and power law fits are provided we confirm the validity of a relation found by blitz rosolowsky 2006 between pressure and the molecular to atomic gas ratio in the high hydrostatic midplane pressure regime 106108 cm3 k | [['we', 'present', 'observations', 'of', 'the', 'hcn', 'and', 'hco', 'j10', 'transitions', 'in', 'the', 'center', 'of', 'the', 'nearby', 'spiral', 'galaxy', 'ngc', '6946', 'made', 'with', 'the', 'bima', 'and', 'carma', 'interferometers', 'using', 'the', 'bima', 'song', 'co', 'map', 'we', 'investigate', 'the', 'change', 'in', 'the', 'i_hcni_co', 'and', 'i_', 'hcoi_co', 'integrated', 'intensity', 'ratios', 'as', 'a', 'function', 'of', 'radius', 'in', 'the', 'central', 'kiloparsec', 'of', 'the', 'galaxy', 'and', 'find', 'that', 'they', 'are', 'strongly', 'concentrated', 'at', 'the', 'center', 'we', 'use', 'the', '2mass', 'k_s', 'band', 'image', 'to', 'find', 'the', 'stellar', 'surface', 'density', 'and', 'then', 'construct', 'a', 'map', 'of', 'the', 'hydrostatic', 'midplane', 'pressure', 'we', 'apply', 'a', 'pdr', 'model', 'to', 'the', 'observed', 'i_hcni_hco', 'integrated', 'intensity', 'ratio', 'to', 'calculate', 'the', 'number', 'density', 'of', 'molecular', 'hydrogen', 'in', 'the', 'dense', 'gas', 'tracer', 'emitting', 'region', 'and', 'find', 'that', 'it', 'is', 'roughly', 'constant', 'at', '105', 'cm3', 'across', 'our', 'map', 'we', 'explore', 'two', 'hypotheses', 'for', 'the', 'distribution', 'of', 'the', 'dense', 'gas', 'if', 'the', 'hcn', 'and', 'hco', 'emission', 'comes', 'from', 'selfgravitating', 'density', 'peaks', 'inside', 'of', 'a', 'less', 'dense', 'gas', 'distribution', 'there', 'is', 'a', 'linear', 'proportionality', 'between', 'the', 'internal', 'velocity', 'dispersion', 'of', 'the', 'dense', 'gas', 'and', 'the', 'size', 'of', 'the', 'density', 'peak', 'alternatively', 'the', 'hcn', 'and', 'hco', 'emission', 'could', 'come', 'from', 'dense', 'gas', 'homogeneously', 'distributed', 'throughout', 'the', 'center', 'and', 'bound', 'by', 'ambient', 'pressure', 'similar', 'to', 'what', 'is', 'observed', 'toward', 'the', 'center', 'of', 'the', 'milky', 'way', 'we', 'find', 'both', 'of', 'these', 'hypotheses', 'to', 'be', 'plausible', 'we', 'fit', 'the', 'relationships', 'between', 'i_hcn', 'i_hco', 'and', 'i_co', 'correlations', 'between', 'the', 'hydrostatic', 'midplane', 'pressure', 'and', 'i_hcn', 'and', 'i_hco', 'are', 'demonstrated', 'and', 'power', 'law', 'fits', 'are', 'provided', 'we', 'confirm', 'the', 'validity', 'of', 'a', 'relation', 'found', 'by', 'blitz', 'rosolowsky', '2006', 'between', 'pressure', 'and', 'the', 'molecular', 'to', 'atomic', 'gas', 'ratio', 'in', 'the', 'high', 'hydrostatic', 'midplane', 'pressure', 'regime', '106108', 'cm3', 'k']] | [-0.07400548548352989, 0.07598397924797609, -0.05271843084896153, 0.047202299514531414, 0.006919083188880574, -0.034766257903115313, 0.05329551609317688, 0.432029517587613, -0.2286071503488347, -0.31336101557466794, 0.02571508213073354, -0.27211556964469225, -0.03523793330754746, 0.12290839407116767, 0.03427148557426831, -0.014372180668129163, -0.0175892547132786, -0.08596735004335641, -0.06185336436272006, -0.19336548433554443, 0.30751947960012, 0.08919654805551876, 0.22257719823751937, 0.041538152277406135, 0.06606755653904244, -0.14559028562878004, -0.04515182380225848, -0.01540050100873817, -0.1798504870472243, 0.07593303122134372, 0.22615272670137612, 0.10676830638962036, 0.19335527044466952, -0.39458877422084865, -0.21075099114370954, 0.06528970474207943, 0.1410044257190417, 0.03441459389064799, -0.016919882129877807, -0.27321709291924806, 0.05645730169532313, -0.170031988481483, -0.17985085036266935, 0.0315781641158868, 0.07042919086123055, 0.06094226750799201, -0.24316665908681567, 0.15216254690831357, -0.00815381702458994, 0.07686260926960545, -0.1041161774200472, -0.112011490161954, -0.08772835542701862, 0.08062170776707882, -0.018982465511865238, 0.0868655556626618, 0.26579353696751323, -0.13057646626013925, 0.04258483211001889, 0.4066235101087527, -0.12239087606864897, -0.052598731669555, 0.24375598559621722, -0.23593531428666956, -0.16136611644093962, 0.15453300805085085, 0.12430072080343962, 0.04804893485072005, -0.10282691334289583, 0.016213993012100796, -0.08533029245170341, 0.21921891051767903, 0.09091413517228582, 0.003459465998669409, 0.2949571257321672, 0.0673682662607594, 0.07596138121729547, 0.13181218343913895, -0.2395136838118461, -0.06825569574551826, -0.2220862142978744, -0.14387382314900274, -0.13583609707103195, 0.05700540235096758, -0.11392162744553802, -0.08195949544368142, 0.2722793872112578, 0.11468546858904037, 0.2716905267079445, 0.029506155629536474, 0.32539975700053303, 0.10445532128045505, 0.06268670377829536, 0.16636879070069302, 0.26961517689580267, 0.20171294536372775, 0.09166247588667002, -0.2588083944698288, 0.043558674307370725, -0.011968077372082254] |
710.0169 | Evaluation experiments on related terms search in Wikipedia: Information
Content and Adapted HITS (In Russian) | The classification of metrics and algorithms search for related terms via
WordNet, Roget's Thesaurus, and Wikipedia was extended to include adapted HITS
algorithm. Evaluation experiments on Information Content and adapted HITS
algorithm are described. The test collection of Russian word pairs with
human-assigned similarity judgments is proposed.
-----
Klassifikacija metrik i algoritmov poiska semanticheski blizkih slov v
tezaurusah WordNet, Rozhe i jenciklopedii Vikipedija rasshirena adaptirovannym
HITS algoritmom. S pomow'ju jeksperimentov v Vikipedii oceneny metrika
Information Content i adaptirovannyj algoritm HITS. Predlozhen resurs dlja
ocenki semanticheskoj blizosti russkih slov.
| cs.IR cs.CL | the classification of metrics and algorithms search for related terms via wordnet rogets thesaurus and wikipedia was extended to include adapted hits algorithm evaluation experiments on information content and adapted hits algorithm are described the test collection of russian word pairs with humanassigned similarity judgments is proposed klassifikacija metrik i algoritmov poiska semanticheski blizkih slov v tezaurusah wordnet rozhe i jenciklopedii vikipedija rasshirena adaptirovannym hits algoritmom s pomowju jeksperimentov v vikipedii oceneny metrika information content i adaptirovannyj algoritm hits predlozhen resurs dlja ocenki semanticheskoj blizosti russkih slov | [['the', 'classification', 'of', 'metrics', 'and', 'algorithms', 'search', 'for', 'related', 'terms', 'via', 'wordnet', 'rogets', 'thesaurus', 'and', 'wikipedia', 'was', 'extended', 'to', 'include', 'adapted', 'hits', 'algorithm', 'evaluation', 'experiments', 'on', 'information', 'content', 'and', 'adapted', 'hits', 'algorithm', 'are', 'described', 'the', 'test', 'collection', 'of', 'russian', 'word', 'pairs', 'with', 'humanassigned', 'similarity', 'judgments', 'is', 'proposed', 'klassifikacija', 'metrik', 'i', 'algoritmov', 'poiska', 'semanticheski', 'blizkih', 'slov', 'v', 'tezaurusah', 'wordnet', 'rozhe', 'i', 'jenciklopedii', 'vikipedija', 'rasshirena', 'adaptirovannym', 'hits', 'algoritmom', 's', 'pomowju', 'jeksperimentov', 'v', 'vikipedii', 'oceneny', 'metrika', 'information', 'content', 'i', 'adaptirovannyj', 'algoritm', 'hits', 'predlozhen', 'resurs', 'dlja', 'ocenki', 'semanticheskoj', 'blizosti', 'russkih', 'slov']] | [-0.01803730377835817, -0.016156283283575636, -0.0038951676277840723, 0.11380179804467337, -0.16048643530392256, -0.20160089636252063, 0.10859930499258344, 0.42829839500491734, -0.2545456102453783, -0.34209848845713453, 0.03297774747899566, -0.42875097585139704, -0.09194404845599269, 0.1406631403808772, -0.10646017985876466, -0.003384956494584435, 0.1662080548245643, 0.10827881930640242, -0.04245151571746244, -0.3282582322898947, 0.27940153344305324, 0.06349744893549407, 0.3247251874141273, 0.018404850644654917, 0.10299736037697704, -0.010915812744509017, -0.21951535808258368, 0.03669058117771246, -0.10619156040465001, 0.108577077742666, 0.30116752324412105, 0.34405795293173097, 0.22573575986640865, -0.26022840376760137, -0.10089230285499429, 0.03241955267540256, 0.09498939245603367, 0.009352166449925939, -0.018527662467409965, -0.4378736077762041, 0.07130398127998484, -0.15785150422302427, 0.037232677452266216, -0.08795818028452455, 0.0823874284024732, 0.07029248821381175, -0.23531146173472287, 0.006840499190491487, 0.07782416887672954, 0.06792302318986078, -0.020117198659076553, -0.16749678859792527, 0.01171587393848134, 0.11883834966259901, 0.0035482008033050376, 0.0915504031333706, 0.16016350439215293, -0.07005295206813646, -0.21810180925932088, 0.39835966305165993, -0.08163097020635596, -0.2241773563284488, 0.16962693680123594, 0.027299622585233607, -0.09825534504059641, 0.09770025925130629, 0.16989277029929103, 0.07835344194633062, -0.17548980547084672, 0.07252297473827579, -0.046937614389252466, 0.15377814536456202, 0.14872997443832944, -0.035987587218157584, 0.11440946002964114, 0.18229361327334506, -0.03673941361122444, 0.09516439483058257, -0.0974629050937527, -0.01423815472173642, -0.2414920660209094, -0.16819227214513316, -0.198373340131318, -0.0511219961354967, -0.09803273417289392, -0.12866530958257738, 0.3584983116779171, 0.16684144315477767, 0.11518847623259806, -0.012578237374297908, 0.23864153301587604, -0.008404296624367355, 0.08994798260343978, 0.12073474235405199, 0.029070808540754875, 0.019084469323641943, 0.15664766708266784, -0.12471279519281854, 0.10215098010834123, 0.17921766675398] |
710.017 | Supersymmetry in 5d Gravity | We study a 5d gravity theory with a warped metric and show that two N = 2
supersymmetric quantum-mechanical systems are hidden in the 4d spectrum. The
supersymmetry can be regarded as a remnant of higher-dimensional general
coordinate invariance and turns out to become a powerful tool to determine the
physical 4d spectrum and the allowed boundary conditions. Possible extensions
of the N = 2 supersymmetry are briefly discussed.
| hep-th hep-ph quant-ph | we study a 5d gravity theory with a warped metric and show that two n 2 supersymmetric quantummechanical systems are hidden in the 4d spectrum the supersymmetry can be regarded as a remnant of higherdimensional general coordinate invariance and turns out to become a powerful tool to determine the physical 4d spectrum and the allowed boundary conditions possible extensions of the n 2 supersymmetry are briefly discussed | [['we', 'study', 'a', '5d', 'gravity', 'theory', 'with', 'a', 'warped', 'metric', 'and', 'show', 'that', 'two', 'n', '2', 'supersymmetric', 'quantummechanical', 'systems', 'are', 'hidden', 'in', 'the', '4d', 'spectrum', 'the', 'supersymmetry', 'can', 'be', 'regarded', 'as', 'a', 'remnant', 'of', 'higherdimensional', 'general', 'coordinate', 'invariance', 'and', 'turns', 'out', 'to', 'become', 'a', 'powerful', 'tool', 'to', 'determine', 'the', 'physical', '4d', 'spectrum', 'and', 'the', 'allowed', 'boundary', 'conditions', 'possible', 'extensions', 'of', 'the', 'n', '2', 'supersymmetry', 'are', 'briefly', 'discussed']] | [-0.13528055727565244, 0.1607756900024225, -0.060521020401102396, 0.17570515271665446, -0.07997344365693566, -0.21241671163866768, -0.0657296052233858, 0.3193464954453173, -0.21455569288679469, -0.2561839526213372, 0.13590110388911092, -0.24970186156318036, -0.17024157843344026, 0.11213984832501234, -0.022502010590883335, 0.044142240102388965, -0.019148931880273036, 0.06739429251026752, -0.10493922546078492, -0.21526212128463076, 0.32553379934753723, 0.05095445492596769, 0.20764469235801875, 0.03484684826611583, 0.049179831950633385, -0.02404616525007495, -0.009235571041258413, 0.03749320298822513, -0.09468839691012294, 0.11403749746256578, 0.23584263349897158, 0.13226132178262098, 0.14531018262478843, -0.4158890589849273, -0.2455895922994658, 0.08515861170338605, 0.1836368768239644, 0.1237399443295965, -0.01681306392454834, -0.29461788383326426, 0.07266510177209083, -0.17685459779380863, -0.20553107964180745, -0.09717546641103812, -0.007000202790889611, -0.1579648011412694, -0.26092581888104777, 0.006752023111973236, 0.027860220361834588, 0.01012364271750201, -0.034178765231757356, -0.06484595989224626, -0.10024700649499671, 0.06822009698779725, 0.1152505171971757, 0.011489771560195889, 0.11179707605919953, -0.10238183161883212, -0.12810484878023837, 0.445905291079196, -0.05152812516733782, -0.24446319741433237, 0.19765415667111416, -0.13638415981306515, -0.19046129341890564, 0.07012735804848706, 0.10679990194960316, 0.18376813172849257, -0.14159422677788716, 0.20558314175265077, -0.031599160115262356, 0.14131957856910443, 0.059580390244277553, 0.08446683452912926, 0.28134008355216306, 0.11497614791255388, 0.05241303678963389, 0.15413025420318954, -0.03407212424286599, -0.11364446680579307, -0.39684282877107163, -0.18707128145745885, -0.11087204879080292, 0.13798126182866408, -0.12623513772768322, -0.13407836623712263, 0.34969718540226347, 0.09790639058380986, 0.20913786806666584, 0.029869544344134073, 0.17378858802145097, 0.07047475920121338, 0.05621430170791807, 0.030409687977117388, 0.2553863221251253, 0.14530822403951368, 0.06840468335326817, -0.2029121383162799, -0.12251126973319855, 0.11036449176982156] |
710.0171 | A note on energy currents and decay for the wave equation on a
Schwarzschild background | In recent work, we have proven uniform decay bounds for solutions of the wave
equation $\Box_g\phi=0$ on a Schwarzschild exterior, in particular, the uniform
pointwise estimate $|\phi|\le Cv_+^{-1}$, which holds throughout the domain of
outer communications, where $v$ is an advanced Eddington-Finkelstein
coordinate, $v_+=\max\{v,1\}$, and $C$ is a constant depending on a Sobolev
norm of initial data. A crucial estimate in the proof required a decomposition
into spherical harmonics. We here give an alternative proof of this estimate
not requiring such a decomposition.
| math.AP gr-qc math.DG | in recent work we have proven uniform decay bounds for solutions of the wave equation box_gphi0 on a schwarzschild exterior in particular the uniform pointwise estimate phile cv_1 which holds throughout the domain of outer communications where v is an advanced eddingtonfinkelstein coordinate v_maxv1 and c is a constant depending on a sobolev norm of initial data a crucial estimate in the proof required a decomposition into spherical harmonics we here give an alternative proof of this estimate not requiring such a decomposition | [['in', 'recent', 'work', 'we', 'have', 'proven', 'uniform', 'decay', 'bounds', 'for', 'solutions', 'of', 'the', 'wave', 'equation', 'box_gphi0', 'on', 'a', 'schwarzschild', 'exterior', 'in', 'particular', 'the', 'uniform', 'pointwise', 'estimate', 'phile', 'cv_1', 'which', 'holds', 'throughout', 'the', 'domain', 'of', 'outer', 'communications', 'where', 'v', 'is', 'an', 'advanced', 'eddingtonfinkelstein', 'coordinate', 'v_maxv1', 'and', 'c', 'is', 'a', 'constant', 'depending', 'on', 'a', 'sobolev', 'norm', 'of', 'initial', 'data', 'a', 'crucial', 'estimate', 'in', 'the', 'proof', 'required', 'a', 'decomposition', 'into', 'spherical', 'harmonics', 'we', 'here', 'give', 'an', 'alternative', 'proof', 'of', 'this', 'estimate', 'not', 'requiring', 'such', 'a', 'decomposition']] | [-0.1406854322168654, 0.05389468898216297, -0.13623295655728457, 0.04335886019966163, -0.10669799779691262, -0.09800331383069724, -0.005006010333697001, 0.30763024658562593, -0.22618874595328062, -0.21564115349916213, 0.1521905755687413, -0.21063129737237354, -0.09086460008984432, 0.20115848957204524, -0.07149932362831968, 0.037541324778655426, 0.04836874421869899, 0.069694758358377, -0.10968871754709125, -0.1960287835724928, 0.31937508980950546, 0.0014542165200835393, 0.24230029017744978, 0.06695443808020633, 0.10380390709133842, 0.009022292037161045, -0.032419288214756016, -0.047044367242006606, -0.23070673101846081, 0.12709451270545546, 0.20070047032111038, 0.13243684744071446, 0.29233266451154594, -0.4390066986742579, -0.17664259646294844, 0.13352761060045457, 0.1887427338996879, 0.09931277157595082, -0.08911184979642937, -0.26594463759389375, 0.07006464645634462, -0.14341473270115662, -0.17057100345415097, -0.05074232080836355, 0.0828632357944217, 0.03879266589259108, -0.3430403990356286, 0.060703207566230384, 0.138234652440857, 0.031409221744440774, -0.13437063159582055, -0.08875592395283834, 0.028956983157973966, 0.06007503972239332, 0.024388280944369824, 0.08338075576718022, 0.06637964059058347, -0.08529270188250568, -0.0399759828262491, 0.33421213322399573, -0.0913869745362504, -0.2739629068262415, 0.12450756413724136, -0.13514223524633748, -0.10800973200066774, 0.07431066332867851, 0.18254561454954524, 0.1804440025539126, -0.11291653600831826, 0.16626228042518904, -0.05544236962332097, 0.17265711130896283, 0.1307014109003415, 0.03539501718118971, 0.11479964785645773, 0.11881901117697082, 0.1633928029447288, 0.11825185798016595, -0.05777475186681122, -0.05522721453949257, -0.3559495732188225, -0.1985933162720391, -0.22361975268426318, 0.10303132002957648, -0.14157809483237352, -0.20107845690555548, 0.36177375650516264, 0.06266772111210926, 0.17798600624096983, 0.033414680701910435, 0.30294687230208955, 0.12759144205806983, 0.0251435420697233, 0.1165619710529292, 0.2582252592216303, 0.1514422632983805, 0.10652994894549067, -0.13099109299802852, 0.04096156119708156, 0.12550205030524528] |
710.0172 | The STAR Tracking Upgrade | The STAR experiment at the Relativistic Heavy Ion Collider RHIC studies the
new state of matter produced in relativistic heavy ion collisions and the spin
structure of the nucleon in collisions of polarized protons. In order to
improve the capabilities for heavy flavor measurements and the reconstruction
of charged vector bosons an upgrade of the tracking system both in the central
and the forward region is pursued. The challenging environments of high track
multiplicity in heavy ion collisions and of high luminosity in polarized proton
collisions require the use of new technologies. The proposed inner tracking
system, optimized for heavy flavor identification, is using active pixel
sensors close to the collision point and silicon strip technology further
outward. Charge sign determination for electrons and positrons from the decay
of W bosons will be provide by 6 large-area triple GEM disks currently under
development. A prototype of the active pixel detectors has been tested in the
STAR experiment, and an extensive beam test of triple GEM detectors using GEM
foils produced by Tech-Etch of Plymouth, MA has been done at Fermilab.
| physics.ins-det | the star experiment at the relativistic heavy ion collider rhic studies the new state of matter produced in relativistic heavy ion collisions and the spin structure of the nucleon in collisions of polarized protons in order to improve the capabilities for heavy flavor measurements and the reconstruction of charged vector bosons an upgrade of the tracking system both in the central and the forward region is pursued the challenging environments of high track multiplicity in heavy ion collisions and of high luminosity in polarized proton collisions require the use of new technologies the proposed inner tracking system optimized for heavy flavor identification is using active pixel sensors close to the collision point and silicon strip technology further outward charge sign determination for electrons and positrons from the decay of w bosons will be provide by 6 largearea triple gem disks currently under development a prototype of the active pixel detectors has been tested in the star experiment and an extensive beam test of triple gem detectors using gem foils produced by techetch of plymouth ma has been done at fermilab | [['the', 'star', 'experiment', 'at', 'the', 'relativistic', 'heavy', 'ion', 'collider', 'rhic', 'studies', 'the', 'new', 'state', 'of', 'matter', 'produced', 'in', 'relativistic', 'heavy', 'ion', 'collisions', 'and', 'the', 'spin', 'structure', 'of', 'the', 'nucleon', 'in', 'collisions', 'of', 'polarized', 'protons', 'in', 'order', 'to', 'improve', 'the', 'capabilities', 'for', 'heavy', 'flavor', 'measurements', 'and', 'the', 'reconstruction', 'of', 'charged', 'vector', 'bosons', 'an', 'upgrade', 'of', 'the', 'tracking', 'system', 'both', 'in', 'the', 'central', 'and', 'the', 'forward', 'region', 'is', 'pursued', 'the', 'challenging', 'environments', 'of', 'high', 'track', 'multiplicity', 'in', 'heavy', 'ion', 'collisions', 'and', 'of', 'high', 'luminosity', 'in', 'polarized', 'proton', 'collisions', 'require', 'the', 'use', 'of', 'new', 'technologies', 'the', 'proposed', 'inner', 'tracking', 'system', 'optimized', 'for', 'heavy', 'flavor', 'identification', 'is', 'using', 'active', 'pixel', 'sensors', 'close', 'to', 'the', 'collision', 'point', 'and', 'silicon', 'strip', 'technology', 'further', 'outward', 'charge', 'sign', 'determination', 'for', 'electrons', 'and', 'positrons', 'from', 'the', 'decay', 'of', 'w', 'bosons', 'will', 'be', 'provide', 'by', '6', 'largearea', 'triple', 'gem', 'disks', 'currently', 'under', 'development', 'a', 'prototype', 'of', 'the', 'active', 'pixel', 'detectors', 'has', 'been', 'tested', 'in', 'the', 'star', 'experiment', 'and', 'an', 'extensive', 'beam', 'test', 'of', 'triple', 'gem', 'detectors', 'using', 'gem', 'foils', 'produced', 'by', 'techetch', 'of', 'plymouth', 'ma', 'has', 'been', 'done', 'at', 'fermilab']] | [-0.059544809756334874, 0.20511695700455068, -0.06992465969847722, 0.040499097384357204, 0.028967126301075848, -0.1616375902703213, -0.04268426962145087, 0.3733389812211196, -0.18618199850639536, -0.32187848076896947, 0.014882290124660358, -0.34363962458446623, 0.09912459772701064, 0.1697855867548949, 0.019830638075654862, 0.13523735492490233, 0.13861812749981053, -0.015940315967600326, -0.07116877906697078, -0.1995678154635243, 0.26811044450668203, 0.18001908875691394, 0.2502234326235743, 0.08367261980602052, 0.12137047213036567, 0.02465270101610157, -0.04092262275387636, -0.050728075097625454, -0.06067565145397869, 0.07715903741061791, 0.25411265689827917, 0.08050198799982253, 0.17401177692873818, -0.45748907452863125, -0.14385655178921297, 0.05888231200579968, 0.15241537928506863, 0.04419451259309426, -0.1724050613016718, -0.2790574706676934, 0.09584105382673443, -0.2564679740048531, -0.18069718092576498, 0.006685795495286584, 0.009842451485908694, 0.04026625756070846, -0.29698318232969745, -0.0024495545360777114, -0.00442881555775077, 0.060250584261181454, -0.015920277920344637, -0.16171872766766077, -0.014505790186942452, 0.027393587184552516, 0.05170530838270982, 0.077475415633267, 0.2175924774362809, -0.17605898745564952, -0.14135452005753502, 0.3352359018831824, -0.03364560560439713, -0.12682493284034232, 0.2215087127794201, -0.2326289531774819, -0.11891123930044058, 0.18332584542739722, 0.26083255392085347, 0.11148004510582218, -0.21850784318036556, 0.06588179763930384, -0.0025619665988617472, 0.14449595235974913, 0.09001827398444423, 0.0427120881776015, 0.2651049050036818, 0.2611796639083574, 0.029440913930819886, 0.08061538488602511, -0.1982834228236849, -0.00928565117258889, -0.3134974048776914, -0.17298740131470064, -0.13305042612159418, -0.01328001950427683, -0.004726985062734457, -0.052733507203973004, 0.3703299406139801, 0.09965079307245711, 0.15581751306955186, -0.1349604656195475, 0.29774640303286204, 0.048741562291333036, 0.097129575553279, 0.04981414899642308, 0.3290241587299129, 0.15170633361105704, 0.19900214933117644, -0.25878243836341425, 0.036537921717131716, 0.05775077792867604] |
710.0173 | Eriksson's numbers game and finite Coxeter groups | The numbers game is a one-player game played on a finite simple graph with
certain ``amplitudes'' assigned to its edges and with an initial assignment of
real numbers to its nodes. The moves of the game successively transform the
numbers at the nodes using the amplitudes in a certain way. This game and its
interactions with Coxeter/Weyl group theory and Lie theory have been studied by
many authors. In particular, Eriksson connects certain geometric
representations of Coxeter groups with games on graphs with certain real number
amplitudes. Games played on such graphs are ``E-games.'' Here we investigate
various finiteness aspects of E-game play: We extend Eriksson's work relating
moves of the game to reduced decompositions of elements of a Coxeter group
naturally associated to the game graph. We use Stembridge's theory of fully
commutative Coxeter group elements to classify what we call here the
``adjacency-free'' initial positions for finite E-games. We characterize when
the positive roots for certain geometric representations of finite Coxeter
groups can be obtained from E-game play. Finally, we provide a new Dynkin
diagram classification result of E-game graphs meeting a certain finiteness
requirement.
| math.CO math.GR | the numbers game is a oneplayer game played on a finite simple graph with certain amplitudes assigned to its edges and with an initial assignment of real numbers to its nodes the moves of the game successively transform the numbers at the nodes using the amplitudes in a certain way this game and its interactions with coxeterweyl group theory and lie theory have been studied by many authors in particular eriksson connects certain geometric representations of coxeter groups with games on graphs with certain real number amplitudes games played on such graphs are egames here we investigate various finiteness aspects of egame play we extend erikssons work relating moves of the game to reduced decompositions of elements of a coxeter group naturally associated to the game graph we use stembridges theory of fully commutative coxeter group elements to classify what we call here the adjacencyfree initial positions for finite egames we characterize when the positive roots for certain geometric representations of finite coxeter groups can be obtained from egame play finally we provide a new dynkin diagram classification result of egame graphs meeting a certain finiteness requirement | [['the', 'numbers', 'game', 'is', 'a', 'oneplayer', 'game', 'played', 'on', 'a', 'finite', 'simple', 'graph', 'with', 'certain', 'amplitudes', 'assigned', 'to', 'its', 'edges', 'and', 'with', 'an', 'initial', 'assignment', 'of', 'real', 'numbers', 'to', 'its', 'nodes', 'the', 'moves', 'of', 'the', 'game', 'successively', 'transform', 'the', 'numbers', 'at', 'the', 'nodes', 'using', 'the', 'amplitudes', 'in', 'a', 'certain', 'way', 'this', 'game', 'and', 'its', 'interactions', 'with', 'coxeterweyl', 'group', 'theory', 'and', 'lie', 'theory', 'have', 'been', 'studied', 'by', 'many', 'authors', 'in', 'particular', 'eriksson', 'connects', 'certain', 'geometric', 'representations', 'of', 'coxeter', 'groups', 'with', 'games', 'on', 'graphs', 'with', 'certain', 'real', 'number', 'amplitudes', 'games', 'played', 'on', 'such', 'graphs', 'are', 'egames', 'here', 'we', 'investigate', 'various', 'finiteness', 'aspects', 'of', 'egame', 'play', 'we', 'extend', 'erikssons', 'work', 'relating', 'moves', 'of', 'the', 'game', 'to', 'reduced', 'decompositions', 'of', 'elements', 'of', 'a', 'coxeter', 'group', 'naturally', 'associated', 'to', 'the', 'game', 'graph', 'we', 'use', 'stembridges', 'theory', 'of', 'fully', 'commutative', 'coxeter', 'group', 'elements', 'to', 'classify', 'what', 'we', 'call', 'here', 'the', 'adjacencyfree', 'initial', 'positions', 'for', 'finite', 'egames', 'we', 'characterize', 'when', 'the', 'positive', 'roots', 'for', 'certain', 'geometric', 'representations', 'of', 'finite', 'coxeter', 'groups', 'can', 'be', 'obtained', 'from', 'egame', 'play', 'finally', 'we', 'provide', 'a', 'new', 'dynkin', 'diagram', 'classification', 'result', 'of', 'egame', 'graphs', 'meeting', 'a', 'certain', 'finiteness', 'requirement']] | [-0.1734355852586796, 0.14053831326820876, -0.1345823446228924, 0.06980615203721902, -0.10930893379892852, -0.13153744797297828, 0.06290714915722256, 0.3707323383300792, -0.30509182560836545, -0.28677966993969134, 0.08656504478280408, -0.2673632764358174, -0.18227236276693842, 0.11797285448206035, -0.15486491953173803, -0.022122178685763296, 0.0758143242524081, 0.12414410844951793, -0.016307062570106338, -0.2822326263428565, 0.3817844530995432, -0.040408273987673424, 0.20149480119926502, 0.036521457736002835, 0.0825774174636683, 0.04146328998880612, -0.02871361012205582, 0.06845571924554737, -0.15762471739152395, 0.10293772284797317, 0.28541548170426206, 0.10670025413226639, 0.2632062739793312, -0.40430333679290237, -0.13175293668362034, 0.19818121441262396, 0.12632176676085471, 0.08267938219816298, -0.03988786381983978, -0.2851064960220577, 0.10755821652773365, -0.18234185813045178, -0.12392002450100877, -0.027296332682709437, 0.03336428402092408, 0.024936116381070097, -0.23466878218727338, -0.06275091502765143, 0.024430022328286557, 0.13382921528473898, -0.023861912999780396, -0.1361063727844708, -0.02990079867036862, 0.19595325350009435, -0.044290568268027256, -0.03384017392149749, 0.07597095186545237, -0.12786106718074833, -0.18862765470670687, 0.40293906983994954, 0.02934566903702059, -0.18617837989853847, 0.1423781208045831, -0.14058517297742434, -0.21148927571705065, 0.09395078250735596, 0.13660698809182725, 0.11999567009483439, -0.04914867800850786, 0.1096072278001245, -0.1344764925866715, 0.06714140677296028, 0.11213543661052008, 0.022721976786851884, 0.12599340445689253, 0.10601153008740496, 0.07250537590243275, 0.14641808902630835, 0.05084073829835885, -0.093676803342847, -0.3157119614399366, -0.13124554914397163, -0.13487416423127258, 0.04745640206509396, -0.13599360506215472, -0.18547133108399608, 0.3992108285930511, 0.10497797707070572, 0.1515875785787766, 0.1210793678850137, 0.17919655999017728, 0.10049135153106338, 0.06286159907719373, 0.032758433490183765, 0.09893699502572417, 0.23811656334940848, 0.024388011698485226, -0.17308427408664814, 0.02091400939153155, 0.1858005126711686] |
710.0174 | A test of first order scaling in Nf=2 QCD | We complete our analysis of Nf=2 QCD based on the lattice staggered fermion
formulation. Using a series of Monte Carlo simulations at fixed (amq*Ls^yh) one
is able to test the universality class with given critical exponent yh. This
strategy has been used to test the O(4) universality class and it has been
presented at the previous Lattice conferences. No agreement was found with
simulations in the mass range amq=[0.01335,0.15] using lattices with Ls=16 up
to 32 and Lt=4. With the same strategy, we now investigate the possibility of a
first order transition using a new set of Monte Carlo data corresponding to
yh=3 in the same mass and volume range as the one used for O(4). A substantial
agreement is observed both in the specific heat scaling and in the scaling of
the chiral condensate, while the chiral susceptibilities still presents visible
deviation from scaling in the mass range explored.
| hep-lat | we complete our analysis of nf2 qcd based on the lattice staggered fermion formulation using a series of monte carlo simulations at fixed amqlsyh one is able to test the universality class with given critical exponent yh this strategy has been used to test the o4 universality class and it has been presented at the previous lattice conferences no agreement was found with simulations in the mass range amq001335015 using lattices with ls16 up to 32 and lt4 with the same strategy we now investigate the possibility of a first order transition using a new set of monte carlo data corresponding to yh3 in the same mass and volume range as the one used for o4 a substantial agreement is observed both in the specific heat scaling and in the scaling of the chiral condensate while the chiral susceptibilities still presents visible deviation from scaling in the mass range explored | [['we', 'complete', 'our', 'analysis', 'of', 'nf2', 'qcd', 'based', 'on', 'the', 'lattice', 'staggered', 'fermion', 'formulation', 'using', 'a', 'series', 'of', 'monte', 'carlo', 'simulations', 'at', 'fixed', 'amqlsyh', 'one', 'is', 'able', 'to', 'test', 'the', 'universality', 'class', 'with', 'given', 'critical', 'exponent', 'yh', 'this', 'strategy', 'has', 'been', 'used', 'to', 'test', 'the', 'o4', 'universality', 'class', 'and', 'it', 'has', 'been', 'presented', 'at', 'the', 'previous', 'lattice', 'conferences', 'no', 'agreement', 'was', 'found', 'with', 'simulations', 'in', 'the', 'mass', 'range', 'amq001335015', 'using', 'lattices', 'with', 'ls16', 'up', 'to', '32', 'and', 'lt4', 'with', 'the', 'same', 'strategy', 'we', 'now', 'investigate', 'the', 'possibility', 'of', 'a', 'first', 'order', 'transition', 'using', 'a', 'new', 'set', 'of', 'monte', 'carlo', 'data', 'corresponding', 'to', 'yh3', 'in', 'the', 'same', 'mass', 'and', 'volume', 'range', 'as', 'the', 'one', 'used', 'for', 'o4', 'a', 'substantial', 'agreement', 'is', 'observed', 'both', 'in', 'the', 'specific', 'heat', 'scaling', 'and', 'in', 'the', 'scaling', 'of', 'the', 'chiral', 'condensate', 'while', 'the', 'chiral', 'susceptibilities', 'still', 'presents', 'visible', 'deviation', 'from', 'scaling', 'in', 'the', 'mass', 'range', 'explored']] | [-0.06761858869369512, 0.12034887565245647, -0.08696087270062927, 0.047486370972402346, -0.02628741197149295, -0.08943709849749934, 0.06665592839022817, 0.37880093896480865, -0.177568638949234, -0.32631465989126734, 0.09111694048704222, -0.30042835903570875, -0.0690343057519871, 0.18265125530529513, 0.045123794323394764, 0.14624043536525577, 0.012928242028901379, 0.026780789000403187, -0.11939174687961908, -0.22080612216106527, 0.28495435351952403, 0.052910876321631856, 0.2918813558429327, 0.05364862784953813, 0.06813616999058206, -0.018464557223710907, -0.009469390782999666, 0.02434484434811628, -0.17143201787815723, 0.06003302794582951, 0.19181039040088527, 0.0035488688616617903, 0.20201702504929103, -0.3416602715964697, -0.2098574504281764, 0.11207059691564422, 0.13782101689059645, 0.11920169726722198, -0.07485456375663539, -0.24669877508629676, 0.09704398451538833, -0.18304941138533287, -0.16026673806920547, -0.082994509666954, -0.017254972607152513, -0.018104331504492956, -0.28668782120723635, 0.07524331141429098, -0.02872824151553724, 0.09208866170518203, -0.0034614928698243753, -0.14992272162695147, -0.030370214957208055, 0.11860793378452886, 0.05552511893879392, 0.08768219434120374, 0.06390720898004836, -0.10869092292196998, -0.13841978429931484, 0.43196911405618876, -0.073906687870526, -0.14104622135764908, 0.2161521210402174, -0.1998431058026442, -0.1709003721823125, 0.1430138603190904, 0.14250724594274614, 0.08707099921095555, -0.16852964793829478, 0.08021838114475704, -0.05818590584325872, 0.18683766536510307, 0.011369565533703729, -0.04049796155147169, 0.2156507154154808, 0.21326180914582762, -0.0106072092384151, 0.14000355917282645, -0.09394988619677773, -0.16048399964985374, -0.29829370932117716, -0.10898864919906609, -0.21205875044688582, 0.031841546127234575, -0.08841166002891179, -0.13276504120496038, 0.3760009468724466, 0.19427760805759645, 0.18174397805705667, 0.07570035391876295, 0.22003902696959726, 0.10660592954829479, 0.11688524790503697, 0.06708306923655359, 0.2363062537568685, 0.1352522159952109, 0.12216966442782942, -0.2582346908030521, -0.008585121661220512, 0.079908825913189] |
710.0175 | Topological and topological-electronic correlations in amorphous silicon | In this paper, we study several structural models of amorphous silicon, and
discuss structural and electronic features common to all. We note spatial
correlations between short bonds, and similar correlations between long bonds.
Such effects persist under a first principles relaxation of the system and at
finite temperature. Next we explore the nature of the band tail states and find
the states to possess a filamentary structure. We detail correlations between
local geometry and the band tails.
| cond-mat.mtrl-sci cond-mat.dis-nn | in this paper we study several structural models of amorphous silicon and discuss structural and electronic features common to all we note spatial correlations between short bonds and similar correlations between long bonds such effects persist under a first principles relaxation of the system and at finite temperature next we explore the nature of the band tail states and find the states to possess a filamentary structure we detail correlations between local geometry and the band tails | [['in', 'this', 'paper', 'we', 'study', 'several', 'structural', 'models', 'of', 'amorphous', 'silicon', 'and', 'discuss', 'structural', 'and', 'electronic', 'features', 'common', 'to', 'all', 'we', 'note', 'spatial', 'correlations', 'between', 'short', 'bonds', 'and', 'similar', 'correlations', 'between', 'long', 'bonds', 'such', 'effects', 'persist', 'under', 'a', 'first', 'principles', 'relaxation', 'of', 'the', 'system', 'and', 'at', 'finite', 'temperature', 'next', 'we', 'explore', 'the', 'nature', 'of', 'the', 'band', 'tail', 'states', 'and', 'find', 'the', 'states', 'to', 'possess', 'a', 'filamentary', 'structure', 'we', 'detail', 'correlations', 'between', 'local', 'geometry', 'and', 'the', 'band', 'tails']] | [-0.15043918460655908, 0.12409008895470337, -0.10561607329948962, 0.11462880591650239, 0.01130713868958803, -0.07737464993563178, 0.05904310075838312, 0.4544637435442441, -0.34123338076781917, -0.28124251410171586, 0.04267995512905204, -0.3160195113492331, -0.17852817424996334, 0.06488657110165079, 0.060575419801057545, 0.003956331330950239, -0.0008738687407080229, -0.07599653695202009, -0.13869600888196523, -0.17975876368763674, 0.32877322813713705, 0.04848114708317565, 0.27231153329326346, 0.1228660297838596, 0.06070171086141815, 0.004901621717500028, 0.05516398282624878, 0.02379613829921786, -0.16915681693315893, 0.10402479979917165, 0.21251909894621726, -0.013479509972967207, 0.24294335648187665, -0.5058230328095423, -0.190060145578456, 0.08669344683528526, 0.07735948035547921, 0.14617406056782642, -0.006015619362837502, -0.2560386351708855, 0.05044398761608384, -0.16188011192656182, -0.11134037894329854, -0.08616054534621827, 0.04852080739454016, 0.04043760970416298, -0.1820834579117076, 0.12472141942753179, 0.09349084355832114, 0.08901388968595049, -0.07511807274218503, -0.082987527125636, -0.03272238221962924, 0.14293026035143572, 0.0638908074681901, -0.08183862365383122, 0.09868499847104797, -0.1136951379072792, -0.08460444790105541, 0.37065863060498877, -0.05480777789451569, -0.06737120965096567, 0.25056438457656216, -0.18023952771607157, -0.16766739460071187, 0.07922388968819921, 0.16802406646674137, 0.07482457980392622, -0.15047646092036254, 0.02672448559125958, 0.014794405549764633, 0.1885799609560084, 0.05578321057625792, 0.18160992130401316, 0.24006373577981027, 0.16963500029395345, 0.03817375250426786, 0.17837981609385703, -0.14427984367402924, -0.07949859150624894, -0.2902543471714893, -0.156032462495488, -0.14625919480995553, 0.0013923220723480374, -0.07524389976086761, -0.16216593339748972, 0.4652922262328786, 0.14109139291980824, 0.2143266242203097, 0.026602598366799294, 0.17794287603578302, 0.04143690825863318, 0.04937141440512443, 0.09947400148232262, 0.20397484649650074, 0.16266646873592944, 0.08090579422650399, -0.22068696321508327, 0.09229384550776382, -0.03306942819557213] |
710.0176 | Profile of the U 5f magnetization in U/Fe multilayers | Recent calculations, concerning the magnetism of uranium in the U/Fe
multilayer system have described the spatial dependence of the 5f polarization
that might be expected. We have used the x-ray resonant magnetic reflectivity
technique to obtain the profile of the induced uranium magnetic moment for
selected U/Fe multilayer samples. This study extends the use of x-ray magnetic
scattering for induced moment systems to the 5f actinide metals. The spatial
dependence of the U magnetization shows that the predominant fraction of the
polarization is present at the interfacial boundaries, decaying rapidly towards
the center of the uranium layer, in good agreement with predictions.
| cond-mat.other | recent calculations concerning the magnetism of uranium in the ufe multilayer system have described the spatial dependence of the 5f polarization that might be expected we have used the xray resonant magnetic reflectivity technique to obtain the profile of the induced uranium magnetic moment for selected ufe multilayer samples this study extends the use of xray magnetic scattering for induced moment systems to the 5f actinide metals the spatial dependence of the u magnetization shows that the predominant fraction of the polarization is present at the interfacial boundaries decaying rapidly towards the center of the uranium layer in good agreement with predictions | [['recent', 'calculations', 'concerning', 'the', 'magnetism', 'of', 'uranium', 'in', 'the', 'ufe', 'multilayer', 'system', 'have', 'described', 'the', 'spatial', 'dependence', 'of', 'the', '5f', 'polarization', 'that', 'might', 'be', 'expected', 'we', 'have', 'used', 'the', 'xray', 'resonant', 'magnetic', 'reflectivity', 'technique', 'to', 'obtain', 'the', 'profile', 'of', 'the', 'induced', 'uranium', 'magnetic', 'moment', 'for', 'selected', 'ufe', 'multilayer', 'samples', 'this', 'study', 'extends', 'the', 'use', 'of', 'xray', 'magnetic', 'scattering', 'for', 'induced', 'moment', 'systems', 'to', 'the', '5f', 'actinide', 'metals', 'the', 'spatial', 'dependence', 'of', 'the', 'u', 'magnetization', 'shows', 'that', 'the', 'predominant', 'fraction', 'of', 'the', 'polarization', 'is', 'present', 'at', 'the', 'interfacial', 'boundaries', 'decaying', 'rapidly', 'towards', 'the', 'center', 'of', 'the', 'uranium', 'layer', 'in', 'good', 'agreement', 'with', 'predictions']] | [-0.1115331589153, 0.15262748687254155, -0.02731797979761134, 0.0681480931063347, -0.005984699444881841, -0.04430650583669251, 0.06066930141898018, 0.3841799095948683, -0.26916368574123173, -0.30857629549013926, -0.021550381699960458, -0.3654523080616605, -0.060982242619217024, 0.1562073513233176, 0.07655705937118981, 0.028221671447824396, 0.00796784199294908, -0.01690324255511822, -0.09322215872246079, -0.18290933843373375, 0.3108495863419318, 0.07612972915190838, 0.3087745219122107, 0.07527553572264664, 0.005608300797129963, 0.024499354215211, 0.05014153768071065, 0.01483555788210794, -0.10663341420920058, 0.11881779122631997, 0.22346250992268324, -0.023522622648206558, 0.17383708848672755, -0.4643571935046245, -0.20096630175762317, 0.032048022433859756, 0.1013734709544509, 0.10601905173754465, -0.10292953603407916, -0.24578308908031413, 0.06789543427636519, -0.12493595269088652, -0.1914820363722267, -0.08737569049859018, -0.0026405875424982284, 0.05052159565692658, -0.2697621229396877, 0.09477972983857434, 0.06492206686308753, 0.08784227344535882, -0.1271681965525061, -0.15732467415464094, -0.08623133444994249, 0.07690109598322534, 0.1017315509961918, 0.0785787459246029, 0.14563338776739934, -0.10256175652338083, -0.06327072811979509, 0.3448813432044642, -0.05170562276023203, -0.0471082413751705, 0.1332792420975702, -0.23739246440613093, -0.13109177310823225, 0.16659661963143768, 0.14606912652322768, 0.11233522737508311, -0.12790894262748315, 0.07047835446663907, -0.02926225266328045, 0.19730048264175945, 0.03976025827703815, 0.05571157980061709, 0.23664753500591307, 0.19233326984834218, 0.0077999467623657455, 0.15725564754764348, -0.18038395249430894, -0.009172468446195126, -0.21098231635622533, -0.1295438621138387, -0.1667805675818932, 0.04923252897866655, -0.07083647895385237, -0.19510471506281665, 0.39156244334527385, 0.13918453638496645, 0.16722015765331247, -0.08036869320808453, 0.24279409228349288, 0.11780046924432813, 0.06171392834763609, 0.01589100256416143, 0.30408002890865593, 0.20038716416513802, 0.16385658885986892, -0.31233258120368657, 0.138743071521258, 0.008091735630752701] |
710.0177 | On a Conjecture about the Number of Solutions to Linear Diophantine
Equations with a Positive Integer Parameter | Let A(n) be a $k\times s$ matrix and $m(n)$ be a $k$ dimensional vector,
where all entries of A(n) and $m(n)$ are integer-valued polynomials in $n$.
Suppose that $$t(m(n)|A(n))=#\{x\in\mathbb{Z}_{+}^{s}\mid A(n)x=m(n)\}$$ is
finite for each $n\in \mathbb{N}$, where $Z_+$ is the set of nonnegative
integers. This paper conjectures that $t(m(n)|A(n))$ is an integer-valued
quasi-polynomial in $n$ for $n$ sufficiently large and verifies the conjecture
in several cases.
| math.CO math.NT | let an be a ktimes s matrix and mn be a k dimensional vector where all entries of an and mn are integervalued polynomials in n suppose that tmnanxinmathbbz_smid anxmn is finite for each nin mathbbn where z_ is the set of nonnegative integers this paper conjectures that tmnan is an integervalued quasipolynomial in n for n sufficiently large and verifies the conjecture in several cases | [['let', 'an', 'be', 'a', 'ktimes', 's', 'matrix', 'and', 'mn', 'be', 'a', 'k', 'dimensional', 'vector', 'where', 'all', 'entries', 'of', 'an', 'and', 'mn', 'are', 'integervalued', 'polynomials', 'in', 'n', 'suppose', 'that', 'tmnanxinmathbbz_smid', 'anxmn', 'is', 'finite', 'for', 'each', 'nin', 'mathbbn', 'where', 'z_', 'is', 'the', 'set', 'of', 'nonnegative', 'integers', 'this', 'paper', 'conjectures', 'that', 'tmnan', 'is', 'an', 'integervalued', 'quasipolynomial', 'in', 'n', 'for', 'n', 'sufficiently', 'large', 'and', 'verifies', 'the', 'conjecture', 'in', 'several', 'cases']] | [-0.2262311098857026, 0.19726562510072654, 0.00794341387518216, -0.06121869769776822, 0.014666789320472162, -0.2199031095515238, -0.04708353498244833, 0.3291466288646916, -0.30243580189562635, -0.16859773578562454, 0.07391820904922497, -0.33877024254979915, -0.14387468520362745, 0.13472929693307378, -0.029566062556114048, -0.004825673779123463, -0.010013246661401354, 0.11406338560846052, -0.038969801455095876, -0.39201902705826797, 0.30438119775499217, -0.10502264494425617, 0.11609151477750856, 0.05590302395285107, 0.07424777494452428, -0.00982236280106008, 0.06441895908210427, 0.014603337471470468, -0.10336144198049624, 0.03904650661570486, 0.344916919071693, 0.12983119588898262, 0.3049585016560741, -0.3734522713639308, -0.10285014988403418, 0.2536057973484276, 0.19095004648647773, -0.019745913465158083, -0.0039258370525203645, -0.20667056893580593, 0.23213318483612966, -0.11327536088356283, -0.10665556195453973, -0.055545506704220315, 0.19439253691234626, 0.022517882229294628, -0.45598236835212447, -0.056920726856333204, 0.12585380692325998, 0.1040063425776907, -0.007663429860258475, -0.21243450333713554, 0.01084391796393902, 0.06453879072796553, -0.016331083676050184, 0.11062986696924781, -0.040354469609155785, -0.013200568571505755, -0.11844395168009214, 0.3203106589935487, -0.08072565782276797, -0.25575527899854933, 0.03494596229575109, -0.19092134358652402, -0.19283097259904025, 0.09575580072123557, 0.1261421680865169, 0.19738351367413998, -0.03041449458396528, 0.2597056790082206, -0.2182699087425135, 0.17695740307681262, 0.08448039847280597, -0.002524315641494468, 0.1440852194209583, 0.04413314096018439, 0.0959044663959503, 0.09382018909309409, 0.009744604576553684, 0.023319988998991903, -0.35134305007522926, -0.21187087551516015, -0.2952837054781412, 0.1733634168485878, -0.19079500951124828, -0.15123105426027905, 0.2935753057245165, 0.08110024387406156, 0.27930449004634283, 0.14009611528308596, 0.1930678272547084, 0.10923398168074527, -0.03271737493923865, 0.12435143779293867, -0.037888508260948583, 0.18887485068989918, -0.03149487433620379, -0.12765570077317534, 0.05677043214382138, 0.13510399610095192] |
710.0178 | Quality assessment for short oligonucleotide microarray data | Quality of microarray gene expression data has emerged as a new research
topic. As in other areas, microarray quality is assessed by comparing suitable
numerical summaries across microarrays, so that outliers and trends can be
visualized, and poor quality arrays or variable quality sets of arrays can be
identified. Since each single array comprises tens or hundreds of thousands of
measurements, the challenge is to find numerical summaries which can be used to
make accurate quality calls. To this end, several new quality measures are
introduced based on probe level and probeset level information, all obtained as
a by-product of the low-level analysis algorithms RMA/fitPLM for Affymetrix
GeneChips. Quality landscapes spatially localize chip or hybridization
problems. Numerical chip quality measures are derived from the distributions of
Normalized Unscaled Standard Errors and of Relative Log Expressions. Quality of
chip batches is assessed by Residual Scale Factors. These quality assessment
measures are demonstrated on a variety of datasets (spike-in experiments, small
lab experiments, multi-site studies). They are compared with Affymetrix's
individual chip quality report.
| stat.ME stat.AP | quality of microarray gene expression data has emerged as a new research topic as in other areas microarray quality is assessed by comparing suitable numerical summaries across microarrays so that outliers and trends can be visualized and poor quality arrays or variable quality sets of arrays can be identified since each single array comprises tens or hundreds of thousands of measurements the challenge is to find numerical summaries which can be used to make accurate quality calls to this end several new quality measures are introduced based on probe level and probeset level information all obtained as a byproduct of the lowlevel analysis algorithms rmafitplm for affymetrix genechips quality landscapes spatially localize chip or hybridization problems numerical chip quality measures are derived from the distributions of normalized unscaled standard errors and of relative log expressions quality of chip batches is assessed by residual scale factors these quality assessment measures are demonstrated on a variety of datasets spikein experiments small lab experiments multisite studies they are compared with affymetrixs individual chip quality report | [['quality', 'of', 'microarray', 'gene', 'expression', 'data', 'has', 'emerged', 'as', 'a', 'new', 'research', 'topic', 'as', 'in', 'other', 'areas', 'microarray', 'quality', 'is', 'assessed', 'by', 'comparing', 'suitable', 'numerical', 'summaries', 'across', 'microarrays', 'so', 'that', 'outliers', 'and', 'trends', 'can', 'be', 'visualized', 'and', 'poor', 'quality', 'arrays', 'or', 'variable', 'quality', 'sets', 'of', 'arrays', 'can', 'be', 'identified', 'since', 'each', 'single', 'array', 'comprises', 'tens', 'or', 'hundreds', 'of', 'thousands', 'of', 'measurements', 'the', 'challenge', 'is', 'to', 'find', 'numerical', 'summaries', 'which', 'can', 'be', 'used', 'to', 'make', 'accurate', 'quality', 'calls', 'to', 'this', 'end', 'several', 'new', 'quality', 'measures', 'are', 'introduced', 'based', 'on', 'probe', 'level', 'and', 'probeset', 'level', 'information', 'all', 'obtained', 'as', 'a', 'byproduct', 'of', 'the', 'lowlevel', 'analysis', 'algorithms', 'rmafitplm', 'for', 'affymetrix', 'genechips', 'quality', 'landscapes', 'spatially', 'localize', 'chip', 'or', 'hybridization', 'problems', 'numerical', 'chip', 'quality', 'measures', 'are', 'derived', 'from', 'the', 'distributions', 'of', 'normalized', 'unscaled', 'standard', 'errors', 'and', 'of', 'relative', 'log', 'expressions', 'quality', 'of', 'chip', 'batches', 'is', 'assessed', 'by', 'residual', 'scale', 'factors', 'these', 'quality', 'assessment', 'measures', 'are', 'demonstrated', 'on', 'a', 'variety', 'of', 'datasets', 'spikein', 'experiments', 'small', 'lab', 'experiments', 'multisite', 'studies', 'they', 'are', 'compared', 'with', 'affymetrixs', 'individual', 'chip', 'quality', 'report']] | [-0.07790123788259659, 0.04550356332477204, -0.03539840959717889, 0.07160495446592613, -0.05684437903922779, -0.1388748557783509, 0.055755022206459434, 0.441036378523919, -0.21082276990361645, -0.3913697132140883, 0.11669699757528001, -0.32515522545567277, -0.10198378659503744, 0.2888391911611512, -0.09084997101846708, 0.1117002087412402, 0.14736802308384836, 0.002668809332388361, -0.0373304990614825, -0.28693970009552305, 0.23110953541389892, 0.0855320456862097, 0.3876705006379414, 0.03217232220988037, 0.06864710349504169, -0.07467771114329615, -0.08285282797334419, 0.06376870284022311, -0.06748454635240414, 0.16607233230024576, 0.31250268560641353, 0.1872084181543616, 0.31237141190361256, -0.42739376020838216, -0.20454733921545584, 0.04022365350540749, 0.14226414919582872, 0.08118955810499562, -0.057982920987267025, -0.31801260583455393, 0.06762515295148117, -0.12617768876574184, -0.04788256661564156, -0.16515332534247953, -0.046896314538447684, 0.07723205866975456, -0.2710779389385795, 0.07356528039972061, -0.08152927937151928, 0.1073797752022655, -0.0036239873200445572, -0.16195935054100807, -0.0009392743968796095, 0.2028993682291072, 0.024956514547749824, 0.029057504924375168, 0.20265180649189002, -0.09419932032483437, -0.14629052801487538, 0.37139509921375463, -0.05809623123416622, -0.21595969045095245, 0.18617983583289271, -0.09807092789285017, -0.12270859091063223, 0.13573116835030402, 0.20775623575056842, 0.072425427758438, -0.2003448586552762, -0.0119938340655269, 0.01356805728806304, 0.23972859434210336, 0.10248950265138548, 0.05030985951655098, 0.1930644996905115, 0.2100535442325226, -0.0015941039526824062, 0.14212177966369355, -0.12037171790728995, -0.006271546323557754, -0.20932068085275898, -0.10332843261388938, -0.1770082763347984, 0.008439522311325632, -0.09343098432959482, -0.18447747212674845, 0.36877714750527807, 0.13649304805615553, 0.19283258800598732, 0.018535559626878927, 0.3178150047831921, 0.041256985144921134, 0.09751265125828602, -0.009734547523417946, 0.15972900803520526, 0.015929059480928633, 0.03449507054980271, -0.13658824335844338, 0.09433489339960018, 0.0024816315130677803] |
710.0179 | Wave-particle duality in multi-path interferometers: General concepts
and three-path interferometers | For two-path interferometers, the which-path predictability $\mathcal{P}$ and
the fringe visibility $\mathcal{V}$ are familiar quantities that are much used
to talk about wave-particle duality in a quantitative way. We discuss several
candidates that suggest themselves as generalizations $P$ of $ mathcal{P}$ for
multi-path interferometers, and treat the case of three paths in considerable
detail. To each choice for the \emph{path knowledge} $P$, the
\emph{interference strength} $V$ -- the corresponding generalization of
$\mathcal{V}$ -- is found by a natural, operational procedure. In experimental
terms it amounts to finding those equal-weight superpositions of the path
amplitudes which maximize $P$ for the emerging intensities. Mathematically
speaking, one needs to identify a certain optimal one among the Fourier
transforms of the state of the interfering quantum object. Wave-particle
duality is manifest, inasmuch as P=1 implies V=0 and V=1 implies P=0, whatever
definition is chosen. The possible values of the pair $(P,V)$ are restricted to
an area with corners at $(P,V)=(0,0)$, $(P,V)=(1,0)$, and $(P,V)=(0,1)$, with
the shape of the border line from $(1,0)$ to $(0,1)$ depending on the
particular choice for $P$ and the induced definition of $V$.
| quant-ph | for twopath interferometers the whichpath predictability mathcalp and the fringe visibility mathcalv are familiar quantities that are much used to talk about waveparticle duality in a quantitative way we discuss several candidates that suggest themselves as generalizations p of mathcalp for multipath interferometers and treat the case of three paths in considerable detail to each choice for the emphpath knowledge p the emphinterference strength v the corresponding generalization of mathcalv is found by a natural operational procedure in experimental terms it amounts to finding those equalweight superpositions of the path amplitudes which maximize p for the emerging intensities mathematically speaking one needs to identify a certain optimal one among the fourier transforms of the state of the interfering quantum object waveparticle duality is manifest inasmuch as p1 implies v0 and v1 implies p0 whatever definition is chosen the possible values of the pair pv are restricted to an area with corners at pv00 pv10 and pv01 with the shape of the border line from 10 to 01 depending on the particular choice for p and the induced definition of v | [['for', 'twopath', 'interferometers', 'the', 'whichpath', 'predictability', 'mathcalp', 'and', 'the', 'fringe', 'visibility', 'mathcalv', 'are', 'familiar', 'quantities', 'that', 'are', 'much', 'used', 'to', 'talk', 'about', 'waveparticle', 'duality', 'in', 'a', 'quantitative', 'way', 'we', 'discuss', 'several', 'candidates', 'that', 'suggest', 'themselves', 'as', 'generalizations', 'p', 'of', 'mathcalp', 'for', 'multipath', 'interferometers', 'and', 'treat', 'the', 'case', 'of', 'three', 'paths', 'in', 'considerable', 'detail', 'to', 'each', 'choice', 'for', 'the', 'emphpath', 'knowledge', 'p', 'the', 'emphinterference', 'strength', 'v', 'the', 'corresponding', 'generalization', 'of', 'mathcalv', 'is', 'found', 'by', 'a', 'natural', 'operational', 'procedure', 'in', 'experimental', 'terms', 'it', 'amounts', 'to', 'finding', 'those', 'equalweight', 'superpositions', 'of', 'the', 'path', 'amplitudes', 'which', 'maximize', 'p', 'for', 'the', 'emerging', 'intensities', 'mathematically', 'speaking', 'one', 'needs', 'to', 'identify', 'a', 'certain', 'optimal', 'one', 'among', 'the', 'fourier', 'transforms', 'of', 'the', 'state', 'of', 'the', 'interfering', 'quantum', 'object', 'waveparticle', 'duality', 'is', 'manifest', 'inasmuch', 'as', 'p1', 'implies', 'v0', 'and', 'v1', 'implies', 'p0', 'whatever', 'definition', 'is', 'chosen', 'the', 'possible', 'values', 'of', 'the', 'pair', 'pv', 'are', 'restricted', 'to', 'an', 'area', 'with', 'corners', 'at', 'pv00', 'pv10', 'and', 'pv01', 'with', 'the', 'shape', 'of', 'the', 'border', 'line', 'from', '10', 'to', '01', 'depending', 'on', 'the', 'particular', 'choice', 'for', 'p', 'and', 'the', 'induced', 'definition', 'of', 'v']] | [-0.14968379486962563, 0.1386251131883766, -0.06248641925164114, 0.07605429483567086, -0.07129108913553257, -0.14735323806835265, 0.04035923313375794, 0.3589353388922531, -0.2809805588712547, -0.28186788770901616, 0.03222426779286694, -0.2649786716529647, -0.11516593743673405, 0.18178302316142425, -0.08221542050977801, 0.029687137871215748, 0.034881586041880276, 0.09108145371879224, -0.057903192495719374, -0.2043424081590058, 0.2997697046793893, 0.013346791621902694, 0.27574782849599916, 0.030696361541411296, 0.07869793991900265, 0.030132241373471286, -0.01749272001012739, 0.009599712009062875, -0.12200283965973596, 0.11650264514662788, 0.2754706207078771, 0.14664570537085334, 0.23861429291530012, -0.3822295186609703, -0.16078253107745263, 0.11923981756550697, 0.11423128549671221, 0.06320844618024798, 0.04743860488544392, -0.2909579782136374, 0.07301304010131086, -0.12381766772813212, -0.14619066436527728, -0.025645902738143496, 0.08249283734035526, 0.005998016208789106, -0.26999762134184524, 0.018032575051147637, 0.06680741121908282, 0.033230260409573276, -0.011307513138731826, -0.1275795992611155, -0.02445209668396767, 0.09326126265186964, 0.015491186034744657, 0.04594288120246203, 0.09369624888367878, -0.1293160220105622, -0.11764054131920391, 0.4112736137707502, -0.005219430791603475, -0.19777814864370405, 0.15259762938229082, -0.1682445070784247, -0.10696143713269361, 0.11635966448864431, 0.07850242303575831, 0.09889615757704422, -0.0867338643730276, 0.06006606343816597, -0.05310676984638923, 0.11795367527816256, 0.14583328600688758, 0.11363767827025714, 0.19379677842944198, 0.08697787404854881, 0.09956190618028664, 0.13130476429669113, -0.08990588359466338, -0.09496203504304143, -0.3593786911944212, -0.14333550922183247, -0.158762578520987, 0.055688618533681594, -0.0798256579337814, -0.11766796095012608, 0.3414600861948089, 0.14445394998952998, 0.21638174771494365, 0.027770907450388422, 0.25834713883613797, 0.1190496194663084, 0.04029534444854842, 0.010492138204159542, 0.1990995017737992, 0.13672904864757315, 0.06920261221929942, -0.20505608734214353, 0.06129952708764349, 0.059848129349408176] |
710.018 | Meta-Stable Brane Configurations of Multiple Product Gauge Groups with
Orientifold 6 Plane | Starting 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,
the bifundamentals, a symmetric flavor and a conjugate symmetric flavor for
SU(N_c), we apply Seiberg dual to each gauge group, obtain the N=1
supersymmetric dual magnetic gauge theories with dual matters including the
gauge singlets, and describe the intersecting brane configurations of type IIA
string theory corresponding to the meta-stable nonsupersymmetric vacua of this
gauge theory. We also discuss the case where a symmetric flavor is replaced by
an antisymmetric flavor. Next we apply to the case for N=1 supersymmetric
electric gauge theory with the gauge group SO(N_c) x SU(N_c') x SU(N_c'') with
flavors for each gauge group and the bifundamentals. Finally, we describe the
case where the orientifold 6-plane charge is reversed.
| hep-th | starting 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 the bifundamentals a symmetric flavor and a conjugate symmetric flavor for sun_c we apply seiberg dual to each gauge group obtain the n1 supersymmetric dual magnetic gauge theories with dual matters including the gauge singlets and describe the intersecting brane configurations of type iia string theory corresponding to the metastable nonsupersymmetric vacua of this gauge theory we also discuss the case where a symmetric flavor is replaced by an antisymmetric flavor next we apply to the case for n1 supersymmetric electric gauge theory with the gauge group son_c x sun_c x sun_c with flavors for each gauge group and the bifundamentals finally we describe the case where the orientifold 6plane charge is reversed | [['starting', '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', 'the', 'bifundamentals', 'a', 'symmetric', 'flavor', 'and', 'a', 'conjugate', 'symmetric', 'flavor', 'for', 'sun_c', 'we', 'apply', 'seiberg', 'dual', 'to', 'each', 'gauge', 'group', 'obtain', 'the', 'n1', 'supersymmetric', 'dual', 'magnetic', 'gauge', 'theories', 'with', 'dual', 'matters', 'including', 'the', 'gauge', 'singlets', 'and', 'describe', 'the', 'intersecting', 'brane', 'configurations', 'of', 'type', 'iia', 'string', 'theory', 'corresponding', 'to', 'the', 'metastable', 'nonsupersymmetric', 'vacua', 'of', 'this', 'gauge', 'theory', 'we', 'also', 'discuss', 'the', 'case', 'where', 'a', 'symmetric', 'flavor', 'is', 'replaced', 'by', 'an', 'antisymmetric', 'flavor', 'next', 'we', 'apply', 'to', 'the', 'case', 'for', 'n1', 'supersymmetric', 'electric', 'gauge', 'theory', 'with', 'the', 'gauge', 'group', 'son_c', 'x', 'sun_c', 'x', 'sun_c', 'with', 'flavors', 'for', 'each', 'gauge', 'group', 'and', 'the', 'bifundamentals', 'finally', 'we', 'describe', 'the', 'case', 'where', 'the', 'orientifold', '6plane', 'charge', 'is', 'reversed']] | [-0.12822828314486234, 0.30233464854780534, -0.03257884910956765, 0.11122814284531427, -0.10395522284328335, -0.22534464233595988, 0.002251947533188607, 0.3663415028285646, -0.10114238553625696, -0.18609539657721624, 0.05340997583612882, -0.2566246464916998, -0.12763611727517427, -0.03394192340783775, -0.05512301952694543, -0.04493789100909934, -0.10210117252940751, 0.11606003178338356, -0.14656878937282325, -0.2969319184168639, 0.30747380109010813, -0.1033677881830098, 0.29166224552318454, -0.0073274860487264745, 0.10749256896601497, 0.058145055684315806, 0.005854029763106476, -0.04050634066259269, -0.08941466215765104, 0.08564979272940786, 0.2370325882699998, 0.009473388644811861, 0.020899335665436572, -0.43206857947413535, -0.1681191732726909, 0.1446097216788022, 0.1535180226303911, 0.13390911809470066, -0.06784561722238056, -0.3008155100859072, 0.08630753636551912, -0.20533145903883612, -0.21445541380158187, -0.06455405615954934, -0.024150834963032084, -0.13596836626803613, -0.34508645015440004, -0.0010461975378027145, -0.12852094803512207, 0.06329583194490303, 0.0013547051793840878, -0.10913567166939817, -0.14142175813150756, 0.013872356203244314, 0.2081353607286206, 0.12017586200004991, 0.14135891726404867, -0.2346786568814423, -0.20151340686168304, 0.45660788143012565, -0.06341800899698523, -0.24692939767641398, 0.1236513586687472, -0.12027030043571037, -0.26894155239535716, 0.051605113331735245, 0.06879865033004214, 0.18932233473820173, -0.05276809999144033, 0.33808561914424096, -0.12104764924494221, 0.11563117953226217, 0.060985680351115984, 0.03353078757166205, 0.2435537556268494, 0.09513474745429396, 0.06683620324132361, 0.120109108827926, 0.05334759660763666, -0.10680114476503257, -0.5026599728118848, -0.13349582250478254, -0.05614023450556595, 0.16350943064625265, -0.18231410304778203, -0.12132468811400673, 0.37562369069029744, 0.09408748530276011, 0.08656971599660157, 0.05536249766181059, 0.12327121767927618, 0.04395679382415598, 0.014651146905688459, 0.008505343500634326, 0.1449669877098024, 0.24153163269254627, 0.039455389891586756, -0.30561535598484196, -0.3116108583601411, 0.2935789797852254] |
710.0181 | Some Generalizations of Fedorchuk Duality Theorem -- II | As it was shown in the first part of this paper, there exists a duality
between the category DSkeLC (introduced there) and the category SkeLC of
locally compact Hausdorff spaces and continuous skeletal maps. We describe here
the subcategories of the category DSkeLC which are dually equivalent to the
following eight categories: all of them have as objects the locally compact
Hausdorff spaces and their morphisms are, respectively, the injective
(respectively, surjective) continuous skeletal maps, the injective (resp.,
surjective) open maps, the injective (resp., surjective) skeletal perfect maps,
the injective (resp., surjective) open perfect maps. The particular cases of
these theorems for the full subcategories of the last four categories having as
objects all compact Hausdorff spaces are formulated and proved. The
DSkeLC-morphisms which are LCA-embeddings and the dense homeomorphic embeddings
are characterized through their dual morphisms. For any locally compact space
X, a description of the frame of all open subsets of X in terms of the dual
object of X is obtained. It is shown how one can build the dual object of an
open subset (respectively, of a regular closed subset) of a locally compact
Hausdorff space X directly from the dual object of X. Applying these results, a
new description of the ordered set of all, up to equivalence, locally compact
Hausdorff extensions of a locally compact Hausdorff space is obtained.
Moreover, generalizing de Vries Compactification Theorem, we strengthen the
Local Compactification Theorem of Leader. Some other applications are found.
| math.GN math.CT | as it was shown in the first part of this paper there exists a duality between the category dskelc introduced there and the category skelc of locally compact hausdorff spaces and continuous skeletal maps we describe here the subcategories of the category dskelc which are dually equivalent to the following eight categories all of them have as objects the locally compact hausdorff spaces and their morphisms are respectively the injective respectively surjective continuous skeletal maps the injective resp surjective open maps the injective resp surjective skeletal perfect maps the injective resp surjective open perfect maps the particular cases of these theorems for the full subcategories of the last four categories having as objects all compact hausdorff spaces are formulated and proved the dskelcmorphisms which are lcaembeddings and the dense homeomorphic embeddings are characterized through their dual morphisms for any locally compact space x a description of the frame of all open subsets of x in terms of the dual object of x is obtained it is shown how one can build the dual object of an open subset respectively of a regular closed subset of a locally compact hausdorff space x directly from the dual object of x applying these results a new description of the ordered set of all up to equivalence locally compact hausdorff extensions of a locally compact hausdorff space is obtained moreover generalizing de vries compactification theorem we strengthen the local compactification theorem of leader some other applications are found | [['as', 'it', 'was', 'shown', 'in', 'the', 'first', 'part', 'of', 'this', 'paper', 'there', 'exists', 'a', 'duality', 'between', 'the', 'category', 'dskelc', 'introduced', 'there', 'and', 'the', 'category', 'skelc', 'of', 'locally', 'compact', 'hausdorff', 'spaces', 'and', 'continuous', 'skeletal', 'maps', 'we', 'describe', 'here', 'the', 'subcategories', 'of', 'the', 'category', 'dskelc', 'which', 'are', 'dually', 'equivalent', 'to', 'the', 'following', 'eight', 'categories', 'all', 'of', 'them', 'have', 'as', 'objects', 'the', 'locally', 'compact', 'hausdorff', 'spaces', 'and', 'their', 'morphisms', 'are', 'respectively', 'the', 'injective', 'respectively', 'surjective', 'continuous', 'skeletal', 'maps', 'the', 'injective', 'resp', 'surjective', 'open', 'maps', 'the', 'injective', 'resp', 'surjective', 'skeletal', 'perfect', 'maps', 'the', 'injective', 'resp', 'surjective', 'open', 'perfect', 'maps', 'the', 'particular', 'cases', 'of', 'these', 'theorems', 'for', 'the', 'full', 'subcategories', 'of', 'the', 'last', 'four', 'categories', 'having', 'as', 'objects', 'all', 'compact', 'hausdorff', 'spaces', 'are', 'formulated', 'and', 'proved', 'the', 'dskelcmorphisms', 'which', 'are', 'lcaembeddings', 'and', 'the', 'dense', 'homeomorphic', 'embeddings', 'are', 'characterized', 'through', 'their', 'dual', 'morphisms', 'for', 'any', 'locally', 'compact', 'space', 'x', 'a', 'description', 'of', 'the', 'frame', 'of', 'all', 'open', 'subsets', 'of', 'x', 'in', 'terms', 'of', 'the', 'dual', 'object', 'of', 'x', 'is', 'obtained', 'it', 'is', 'shown', 'how', 'one', 'can', 'build', 'the', 'dual', 'object', 'of', 'an', 'open', 'subset', 'respectively', 'of', 'a', 'regular', 'closed', 'subset', 'of', 'a', 'locally', 'compact', 'hausdorff', 'space', 'x', 'directly', 'from', 'the', 'dual', 'object', 'of', 'x', 'applying', 'these', 'results', 'a', 'new', 'description', 'of', 'the', 'ordered', 'set', 'of', 'all', 'up', 'to', 'equivalence', 'locally', 'compact', 'hausdorff', 'extensions', 'of', 'a', 'locally', 'compact', 'hausdorff', 'space', 'is', 'obtained', 'moreover', 'generalizing', 'de', 'vries', 'compactification', 'theorem', 'we', 'strengthen', 'the', 'local', 'compactification', 'theorem', 'of', 'leader', 'some', 'other', 'applications', 'are', 'found']] | [-0.1283130404026984, 0.07422389253000018, -0.043591612471398124, 0.1061201775315019, -0.06316001497006442, -0.11673346240946314, -0.004381002243082175, 0.4102861981324571, -0.34860008248716406, -0.15166469094846163, 0.13896518709940767, -0.2575218055005649, -0.10715790290120505, 0.2083508345497203, -0.16323302958791913, -0.01789038041489643, 0.04223951001000828, 0.10224418414982667, -0.10092121250459839, -0.28898892522483643, 0.4388047308119396, -0.0727555287230339, 0.2385626893810086, 0.019209743821292057, 0.1762966866523152, -0.04331556534994721, -0.0660414484701661, 0.06372612114588477, -0.14067375340847743, 0.16858110735465667, 0.326636215901805, 0.12910075448297556, 0.18618694705270994, -0.32235633034968286, -0.1551550667164029, 0.21093891666828027, 0.07687387989676132, -0.025537820709245786, -0.007181064119546919, -0.34264918169295067, 0.12798524267385056, -0.14369609824744167, -0.10398115240871345, -0.08064973049419133, 0.11640241751729834, 0.016321788773342002, -0.21913735660096967, -0.04164560726613866, 0.14170476309877186, 0.04204149036590306, -0.1428925196063475, -0.04277143958239002, -0.12425863628166584, 0.16496162316820362, -0.07095463597215712, 0.11896323226392269, 0.11062331900641587, -0.0657841078771442, -0.10739759923636945, 0.3684224405454542, -0.035219399268236244, -0.24761338583895134, 0.22347357656775532, -0.1593380341243981, -0.15016749820371927, 0.15881716867978976, 0.04444710865410271, 0.175884851166846, -0.07779485793495901, 0.21222030518602805, -0.15723392070430842, 0.08808863600111999, 0.12158229858536569, 0.09280382803710427, 0.16916880713362697, 0.1306987690678934, 0.10486058649075097, 0.17081088640276054, -0.0006907007056161777, 0.0055287920041341004, -0.3558081898908423, -0.14663921035709304, -0.098846877920227, 0.10390517916861594, -0.10088778756115396, -0.1991917633850451, 0.3326723293759802, 0.05052282808009519, 0.17991614086109226, 0.12793475806919632, 0.21643868960862955, 0.009213938036893113, 0.012887704232902458, 0.09564703720072323, 0.14742815803123197, 0.1980727880406018, -0.03306499465707705, -0.07112803830274197, -0.04929431172956763, 0.20516999212198864] |
710.0182 | The Spatial Distributions of Red and Blue Globular Clusters in Major Dry
Merger Remnants | Using high-resolution N-body simulations, we examine whether a major dry
merger mitigates the difference in the radial density distributions between red
and blue globular clusters (GCs). To this end, we study the relation between
the density slope of the GCs in merger progenitors and that in a merger
remnant, when the density distribution is described by $n_{\rm GC}\propto
r^{-\alpha}$. We also study how our results depend on the merger orbit and the
size of the core radius of the initial GC density distribution. We find that a
major dry merger makes the GC profile flatter, and the steeper initial GC
profile leads to more significant flattening, especially if the initial slope
is steeper than $\alpha\sim3.5$. Our result suggests that if there is a major
dry merger of elliptical galaxies whose red GCs have a steeper radial profile
than the blue GCs, as currently observed, and their slopes are steeper than
$\alpha\sim3.5$, the difference in the slopes between two populations becomes
smaller after dry mergers. Therefore, the observed slopes of red and blue GCs
can be a diagnostic of the importance of dry merger. The current observational
data show that the red and blue GCs have more comparable and shallower slopes
in some luminous galaxies, which may indicate that they have experienced dry
mergers.
| astro-ph | using highresolution nbody simulations we examine whether a major dry merger mitigates the difference in the radial density distributions between red and blue globular clusters gcs to this end we study the relation between the density slope of the gcs in merger progenitors and that in a merger remnant when the density distribution is described by n_rm gcpropto ralpha we also study how our results depend on the merger orbit and the size of the core radius of the initial gc density distribution we find that a major dry merger makes the gc profile flatter and the steeper initial gc profile leads to more significant flattening especially if the initial slope is steeper than alphasim35 our result suggests that if there is a major dry merger of elliptical galaxies whose red gcs have a steeper radial profile than the blue gcs as currently observed and their slopes are steeper than alphasim35 the difference in the slopes between two populations becomes smaller after dry mergers therefore the observed slopes of red and blue gcs can be a diagnostic of the importance of dry merger the current observational data show that the red and blue gcs have more comparable and shallower slopes in some luminous galaxies which may indicate that they have experienced dry mergers | [['using', 'highresolution', 'nbody', 'simulations', 'we', 'examine', 'whether', 'a', 'major', 'dry', 'merger', 'mitigates', 'the', 'difference', 'in', 'the', 'radial', 'density', 'distributions', 'between', 'red', 'and', 'blue', 'globular', 'clusters', 'gcs', 'to', 'this', 'end', 'we', 'study', 'the', 'relation', 'between', 'the', 'density', 'slope', 'of', 'the', 'gcs', 'in', 'merger', 'progenitors', 'and', 'that', 'in', 'a', 'merger', 'remnant', 'when', 'the', 'density', 'distribution', 'is', 'described', 'by', 'n_rm', 'gcpropto', 'ralpha', 'we', 'also', 'study', 'how', 'our', 'results', 'depend', 'on', 'the', 'merger', 'orbit', 'and', 'the', 'size', 'of', 'the', 'core', 'radius', 'of', 'the', 'initial', 'gc', 'density', 'distribution', 'we', 'find', 'that', 'a', 'major', 'dry', 'merger', 'makes', 'the', 'gc', 'profile', 'flatter', 'and', 'the', 'steeper', 'initial', 'gc', 'profile', 'leads', 'to', 'more', 'significant', 'flattening', 'especially', 'if', 'the', 'initial', 'slope', 'is', 'steeper', 'than', 'alphasim35', 'our', 'result', 'suggests', 'that', 'if', 'there', 'is', 'a', 'major', 'dry', 'merger', 'of', 'elliptical', 'galaxies', 'whose', 'red', 'gcs', 'have', 'a', 'steeper', 'radial', 'profile', 'than', 'the', 'blue', 'gcs', 'as', 'currently', 'observed', 'and', 'their', 'slopes', 'are', 'steeper', 'than', 'alphasim35', 'the', 'difference', 'in', 'the', 'slopes', 'between', 'two', 'populations', 'becomes', 'smaller', 'after', 'dry', 'mergers', 'therefore', 'the', 'observed', 'slopes', 'of', 'red', 'and', 'blue', 'gcs', 'can', 'be', 'a', 'diagnostic', 'of', 'the', 'importance', 'of', 'dry', 'merger', 'the', 'current', 'observational', 'data', 'show', 'that', 'the', 'red', 'and', 'blue', 'gcs', 'have', 'more', 'comparable', 'and', 'shallower', 'slopes', 'in', 'some', 'luminous', 'galaxies', 'which', 'may', 'indicate', 'that', 'they', 'have', 'experienced', 'dry', 'mergers']] | [-0.05980600406885815, 0.14527749761671074, -0.18792125569515913, 0.14163188738770396, -0.08643532337462705, -0.03838963695046193, -0.008783687926380773, 0.4587452503378099, -0.08506166691373471, -0.336007927403838, 0.001428612419469985, -0.3001378789052086, -0.08733647502958775, 0.20707717900454298, -0.054352598115450367, -0.0534279638207254, 0.11816265054468839, -0.09924340362107065, -0.08546924940639895, -0.27870673005675617, 0.32082482559479036, 0.026518395910795144, 0.17605690740489285, -0.07814374161040727, -0.0008120677902864047, -0.07745716727189368, -0.05227236158899822, -0.01727995047574195, -0.16749713474087433, -0.00878850887567991, 0.21530569503457234, 0.12364075722761522, 0.26480046880897135, -0.37547381089098053, -0.17790434693528848, 0.1356206078385442, 0.2387153962033994, 0.02029012602628736, -0.141229507114814, -0.20727335424975157, 0.09454131198010214, -0.211749762843609, -0.19669670122469674, 0.14624032017968172, 0.087113158401752, 0.05415517745214462, -0.1658198016323369, 0.23773036257433594, 0.030495242086098582, 0.029082278218032477, -0.07305608185684695, -0.14278157996145552, -0.14538474772608717, 0.04914559137950902, 0.05855798540869728, 0.047183915410401685, 0.19138693818844468, -0.13192017610681261, 0.05073175926139262, 0.38617558815990977, -0.04197983563879564, -0.010372961668148285, 0.22714503105940684, -0.20927290566581883, -0.17461016539370044, 0.059573911784989934, 0.13779633932193425, 0.061644540642792324, -0.08806674681607478, -0.05803880893911827, -0.009415450250567376, 0.23265631785089114, 0.1161503486822904, -0.031870813642733926, 0.32739090772767393, 0.1023767799949537, 0.09909573657315154, 0.0833810583906872, -0.18277899654310872, -0.058978538718601724, -0.19061792121303953, -0.09069577146998062, -0.12920945535418313, 0.08627011584016969, -0.18610781729430012, -0.15987870478695082, 0.3240254938092856, 0.08172951084737368, 0.25769615563550824, 0.08742077117577142, 0.3200167709574947, 0.13009243956734076, 0.1350990573733931, 0.1345566552745196, 0.29004003226008584, 0.17072495118218456, 0.03720763113205804, -0.2706877446122784, 0.12821436217241428, -0.06385737814378205] |
710.0183 | The spectrum of the Leray transform for convex Reinhardt domains in
$\mathbb C^2$ | The Leray transform and related boundary operators are studied for a class of
convex Reinhardt domains in $\mathbb C^2$. Our class is self-dual; it contains
some domains with less than $C^2$-smooth boundary and also some domains with
smooth boundary and degenerate Levi form. $L^2$-regularity is proved, and
essential spectra are computed with respect to a family of boundary measures
which includes surface measure. A duality principle is established providing
explicit unitary equivalence between operators on domains in our class and
operators on the corresponding polar domains. Many of these results are new
even for the classical case of smoothly bounded strongly convex Reinhardt
domains.
| math.CV | the leray transform and related boundary operators are studied for a class of convex reinhardt domains in mathbb c2 our class is selfdual it contains some domains with less than c2smooth boundary and also some domains with smooth boundary and degenerate levi form l2regularity is proved and essential spectra are computed with respect to a family of boundary measures which includes surface measure a duality principle is established providing explicit unitary equivalence between operators on domains in our class and operators on the corresponding polar domains many of these results are new even for the classical case of smoothly bounded strongly convex reinhardt domains | [['the', 'leray', 'transform', 'and', 'related', 'boundary', 'operators', 'are', 'studied', 'for', 'a', 'class', 'of', 'convex', 'reinhardt', 'domains', 'in', 'mathbb', 'c2', 'our', 'class', 'is', 'selfdual', 'it', 'contains', 'some', 'domains', 'with', 'less', 'than', 'c2smooth', 'boundary', 'and', 'also', 'some', 'domains', 'with', 'smooth', 'boundary', 'and', 'degenerate', 'levi', 'form', 'l2regularity', 'is', 'proved', 'and', 'essential', 'spectra', 'are', 'computed', 'with', 'respect', 'to', 'a', 'family', 'of', 'boundary', 'measures', 'which', 'includes', 'surface', 'measure', 'a', 'duality', 'principle', 'is', 'established', 'providing', 'explicit', 'unitary', 'equivalence', 'between', 'operators', 'on', 'domains', 'in', 'our', 'class', 'and', 'operators', 'on', 'the', 'corresponding', 'polar', 'domains', 'many', 'of', 'these', 'results', 'are', 'new', 'even', 'for', 'the', 'classical', 'case', 'of', 'smoothly', 'bounded', 'strongly', 'convex', 'reinhardt', 'domains']] | [-0.14712341615142158, 0.08370140542963501, -0.02970442096165453, 0.06714813935888322, -0.10191193053077978, -0.15811323514655948, -0.05019656951592948, 0.3778946901886509, -0.2719061518213354, -0.19455355928613033, 0.1883084649844722, -0.28929845536073956, -0.12377835594816133, 0.2643910913253561, -0.12465826833011726, 0.08355949888041672, 0.04964866639392522, 0.026492641396963827, -0.1270149889975213, -0.22427401196462318, 0.42714668835441655, -0.1486349114163134, 0.22516448917583778, 0.0909138193148045, 0.046210432022165224, -0.048698055817602344, -0.010795431752250386, 0.02426928133578398, -0.1413392852185867, 0.18109083694155112, 0.2794113337742881, 0.056538500460402034, 0.2166348756514848, -0.3810143791174946, -0.22422367089110104, 0.1459839733210034, 0.08364513986005197, 0.004266141594808477, -0.030505180929769546, -0.316173796136774, 0.08767090809907621, -0.0694840074597428, -0.15735564362974122, -0.09187398368689734, 0.03494098777166353, 0.04206949278998833, -0.2977785373894641, 0.06176598253855795, 0.1308708952811475, 0.06924294601552762, -0.14102262627924433, -0.11370239079517958, -0.048033141172849216, 0.07120368959238896, 0.02568277514476974, 0.10224454134563879, 0.047559773589735135, -0.052827615351046776, -0.07862217132396136, 0.34465655381287574, -0.022935424347731617, -0.3009480836066919, 0.2579138769338337, -0.18202849298093218, -0.1094248273024837, 0.10328896115354907, 0.11645322215134421, 0.2019336819234573, -0.10939958633389324, 0.18744416216493567, -0.08262645981113355, 0.08199717480769883, 0.11817848924636984, 0.02464032671503866, 0.10221528931511924, 0.07492141141343521, 0.1781308517087242, 0.17349817987325458, 0.025728514350843258, -0.1362046332886586, -0.36396389903249937, -0.14757917547607435, -0.16893594185911262, 0.03132459043095318, -0.09541022633535388, -0.2140130438000107, 0.3666022779630461, -0.001776226949004922, 0.1797670570679027, 0.1049125365512177, 0.14835545887203458, 0.09187392898512861, 0.07300519136053761, 0.10264995468158024, 0.13734917243989633, 0.16477519879117608, 0.044528861256996885, -0.13995167293111221, 0.011611384648578959, 0.15196470398712755] |
710.0184 | Scaling of the Lyapunov exponent in type-III intermittent chaos | The scaling behaviour of the Lyapunov exponent near the transition to chaos
via type-III intermittency is determined for a generic map. A critical exponent
$\beta$ expressing the scaling of the Lyapunov exponent as a function of both,
the reinjection probability and the nonlinearity of the map is calculated. It
is found that the critical exponent varies on the interval $0 < \beta < 1$.
This contrasts with earlier predictions for the scaling behaviour of the
Lyapunov exponent in type-III intermittency.
| nlin.CD | the scaling behaviour of the lyapunov exponent near the transition to chaos via typeiii intermittency is determined for a generic map a critical exponent beta expressing the scaling of the lyapunov exponent as a function of both the reinjection probability and the nonlinearity of the map is calculated it is found that the critical exponent varies on the interval 0 beta 1 this contrasts with earlier predictions for the scaling behaviour of the lyapunov exponent in typeiii intermittency | [['the', 'scaling', 'behaviour', 'of', 'the', 'lyapunov', 'exponent', 'near', 'the', 'transition', 'to', 'chaos', 'via', 'typeiii', 'intermittency', 'is', 'determined', 'for', 'a', 'generic', 'map', 'a', 'critical', 'exponent', 'beta', 'expressing', 'the', 'scaling', 'of', 'the', 'lyapunov', 'exponent', 'as', 'a', 'function', 'of', 'both', 'the', 'reinjection', 'probability', 'and', 'the', 'nonlinearity', 'of', 'the', 'map', 'is', 'calculated', 'it', 'is', 'found', 'that', 'the', 'critical', 'exponent', 'varies', 'on', 'the', 'interval', '0', 'beta', '1', 'this', 'contrasts', 'with', 'earlier', 'predictions', 'for', 'the', 'scaling', 'behaviour', 'of', 'the', 'lyapunov', 'exponent', 'in', 'typeiii', 'intermittency']] | [-0.21483991151818863, 0.15786542053310534, -0.12448588053051096, 0.11510817005406491, 0.018292809805970114, -0.1849231080044634, 0.07973544274229938, 0.24964910383837727, -0.29094039486386836, -0.18224388641567948, 0.0931780337018725, -0.2971283646348195, -0.19400608481672138, 0.23188081612953773, 0.06028530676252185, 0.13909980590837315, -0.11499279832992798, 0.06613861797496867, -0.0633532824084306, -0.1388276463899857, 0.3554437708778259, 0.06603006779765472, 0.2716171784260764, -0.0005191756018365805, 0.027053320296825126, -0.06843791454911041, -0.012523985467851162, 0.0035481177724133697, -0.22932039953826835, 0.01963530338775271, 0.13783328973789674, 0.023359775537242874, 0.22647562849884614, -0.20210374091775754, -0.2232798642765444, 0.1180119954664499, 0.18587676813014042, -0.037864813837819755, 0.02493247631429814, -0.26469491511129606, 0.12231241965379852, -0.12479014408129913, -0.21150251497060824, -0.006482367463505421, 0.10270336725844596, 0.041443465707393795, -0.3569501083678542, 0.16087185186095154, 0.05445108930460918, 0.10476021418491235, -0.042962685658727795, -0.055849605108587407, -0.02218968005707631, 0.14449666629736432, 0.08735357813883382, 0.06166721572383092, 0.18207288125100043, -0.14207371952048, -0.08899877378000663, 0.29941599185650164, -0.04211973894435244, -0.17077948491630826, 0.1349787857870046, -0.2423706968458226, -0.11925857941596171, 0.1418616570866643, 0.09318383345798327, 0.042370832069979936, -0.07187673879357484, 0.12049661672790535, 0.010083685832050366, 0.19980095829277372, 0.04970350035299093, -0.02208058508292127, 0.11415536959583943, 0.14834086852482495, 0.06878293085938846, 0.12960292277141258, -0.07591780414506315, -0.15145542385438696, -0.30970855657823193, -0.1390532245978904, -0.21137636963230294, 0.09307054596212812, -0.21429987630835967, -0.18648028751023304, 0.4217865589456872, 0.10231183155272634, 0.24124747193537843, 0.18233969363455588, 0.18421018885997817, 0.23413261757918802, 0.018465363898147374, 0.04458334132169302, 0.26305082564552623, 0.0947987011138302, 0.14965694585743433, -0.26793838512653917, 0.10990567937588845, 0.13227838744672063] |
710.0185 | Highly Efficient Modeling of Dynamic Coronal Loops | Observational and theoretical evidence suggests that coronal heating is
impulsive and occurs on very small cross-field spatial scales. A single coronal
loop could contain a hundred or more individual strands that are heated
quasi-independently by nanoflares. It is therefore an enormous undertaking to
model an entire active region or the global corona. Three-dimensional MHD codes
have inadequate spatial resolution, and 1D hydro codes are too slow to simulate
the many thousands of elemental strands that must be treated in a reasonable
representation. Fortunately, thermal conduction and flows tend to smooth out
plasma gradients along the magnetic field, so "0D models" are an acceptable
alternative. We have developed a highly efficient model called Enthalpy-Based
Thermal Evolution of Loops (EBTEL) that accurately describes the evolution of
the average temperature, pressure, and density along a coronal strand. It
improves significantly upon earlier models of this type--in accuracy,
flexibility, and capability. It treats both slowly varying and highly impulsive
coronal heating; it provides the differential emission measure distribution,
DEM(T), at the transition region footpoints; and there are options for heat
flux saturation and nonthermal electron beam heating. EBTEL gives excellent
agreement with far more sophisticated 1D hydro simulations despite using four
orders of magnitude less computing time. It promises to be a powerful new tool
for solar and stellar studies.
| astro-ph | observational and theoretical evidence suggests that coronal heating is impulsive and occurs on very small crossfield spatial scales a single coronal loop could contain a hundred or more individual strands that are heated quasiindependently by nanoflares it is therefore an enormous undertaking to model an entire active region or the global corona threedimensional mhd codes have inadequate spatial resolution and 1d hydro codes are too slow to simulate the many thousands of elemental strands that must be treated in a reasonable representation fortunately thermal conduction and flows tend to smooth out plasma gradients along the magnetic field so 0d models are an acceptable alternative we have developed a highly efficient model called enthalpybased thermal evolution of loops ebtel that accurately describes the evolution of the average temperature pressure and density along a coronal strand it improves significantly upon earlier models of this typein accuracy flexibility and capability it treats both slowly varying and highly impulsive coronal heating it provides the differential emission measure distribution demt at the transition region footpoints and there are options for heat flux saturation and nonthermal electron beam heating ebtel gives excellent agreement with far more sophisticated 1d hydro simulations despite using four orders of magnitude less computing time it promises to be a powerful new tool for solar and stellar studies | [['observational', 'and', 'theoretical', 'evidence', 'suggests', 'that', 'coronal', 'heating', 'is', 'impulsive', 'and', 'occurs', 'on', 'very', 'small', 'crossfield', 'spatial', 'scales', 'a', 'single', 'coronal', 'loop', 'could', 'contain', 'a', 'hundred', 'or', 'more', 'individual', 'strands', 'that', 'are', 'heated', 'quasiindependently', 'by', 'nanoflares', 'it', 'is', 'therefore', 'an', 'enormous', 'undertaking', 'to', 'model', 'an', 'entire', 'active', 'region', 'or', 'the', 'global', 'corona', 'threedimensional', 'mhd', 'codes', 'have', 'inadequate', 'spatial', 'resolution', 'and', '1d', 'hydro', 'codes', 'are', 'too', 'slow', 'to', 'simulate', 'the', 'many', 'thousands', 'of', 'elemental', 'strands', 'that', 'must', 'be', 'treated', 'in', 'a', 'reasonable', 'representation', 'fortunately', 'thermal', 'conduction', 'and', 'flows', 'tend', 'to', 'smooth', 'out', 'plasma', 'gradients', 'along', 'the', 'magnetic', 'field', 'so', '0d', 'models', 'are', 'an', 'acceptable', 'alternative', 'we', 'have', 'developed', 'a', 'highly', 'efficient', 'model', 'called', 'enthalpybased', 'thermal', 'evolution', 'of', 'loops', 'ebtel', 'that', 'accurately', 'describes', 'the', 'evolution', 'of', 'the', 'average', 'temperature', 'pressure', 'and', 'density', 'along', 'a', 'coronal', 'strand', 'it', 'improves', 'significantly', 'upon', 'earlier', 'models', 'of', 'this', 'typein', 'accuracy', 'flexibility', 'and', 'capability', 'it', 'treats', 'both', 'slowly', 'varying', 'and', 'highly', 'impulsive', 'coronal', 'heating', 'it', 'provides', 'the', 'differential', 'emission', 'measure', 'distribution', 'demt', 'at', 'the', 'transition', 'region', 'footpoints', 'and', 'there', 'are', 'options', 'for', 'heat', 'flux', 'saturation', 'and', 'nonthermal', 'electron', 'beam', 'heating', 'ebtel', 'gives', 'excellent', 'agreement', 'with', 'far', 'more', 'sophisticated', '1d', 'hydro', 'simulations', 'despite', 'using', 'four', 'orders', 'of', 'magnitude', 'less', 'computing', 'time', 'it', 'promises', 'to', 'be', 'a', 'powerful', 'new', 'tool', 'for', 'solar', 'and', 'stellar', 'studies']] | [-0.09888901215299059, 0.19540255212530475, -0.04252507277464094, 0.13703586375906576, -0.060557215330930794, -0.14801307645991932, -0.012979286122266377, 0.4523282058745901, -0.20845794387702465, -0.3495019602145408, 0.07642702847690905, -0.25555113562226084, -0.054226277910703884, 0.24385673122776447, -0.011330694978823885, 0.04363899810509495, 0.08082241549267581, -0.06162676499790956, -0.02180012648764162, -0.1852954043669487, 0.23027904065125665, 0.16175742062008897, 0.24180766437273413, 0.0267908957114478, 0.07781358482152938, -0.10622278973460197, -0.044752579138866655, 0.05511336835867194, -0.11036659959172199, 0.04905977407328906, 0.20271376351582862, 0.07270395558881769, 0.24413382707851303, -0.4975136729026927, -0.31937625626032456, 0.015043253588169775, 0.1974010030297284, 0.07984423233560889, -0.051188633813240965, -0.15631055995761026, 0.04537204817746914, -0.17080251187321113, -0.12483121920159418, -0.06157026594182668, 0.020347350130671477, -0.01642747284957669, -0.27900141214507973, 0.09577057378314366, 0.031182896789211222, 0.07702979713974294, -0.06510958386091167, -0.0663815402865375, -0.05182579041362923, 0.10609033986954367, 0.0505627309120147, 0.06183196876467876, 0.1964526724540324, -0.10809770066869906, -0.04829064330899931, 0.356436487796464, -0.04251645162193514, -0.12190742137753209, 0.24045150875653548, -0.17009230466694442, -0.11556215614197933, 0.2407538422413832, 0.1172636118325814, 0.09356200995976889, -0.1408383100593863, 0.005419888298645197, -0.01750710545484168, 0.1672427249554475, 0.04536978948521907, -0.0011630426485009305, 0.280105719308012, 0.1605580175147505, 0.03956489476008628, 0.11504091794284879, -0.13008030684731214, -0.10185862914223885, -0.22477258777541814, -0.11490850714301891, -0.09115183151383649, 0.05776102766862452, -0.09523150491869299, -0.20998021110970633, 0.38798170538497306, 0.17876898141786735, 0.16617780363744247, -0.0019020072846003225, 0.33084739453733736, 0.10430165964600882, 0.0683511966609866, 0.1585043692813368, 0.22167766447370507, 0.16420063071462074, 0.14673228798408025, -0.2354204066676549, 0.07375800140989752, 0.031690623351181293] |
710.0186 | A local version of Gotzmann's Persistence | Gotzmann's Persistence states that the growth of an arbitrary ideal can be
controlled by comparing it to the growth of the lexicographic ideal. This is
used, for instance, in finding equations which cut out the Hilbert scheme (of
subschemes of $\mathbf{P}^n$ with fixed Hilbert polynomial) sitting inside an
appropriate Grassmannian. We introduce the notion of an {\it extremal ideal}
which extends the notion of the lex ideal to other term orders. We then state
and prove a version of Gotzmann's theorem for these ideals, valid in an open
subset of a Grassmannian.
| math.AC math.AG | gotzmanns persistence states that the growth of an arbitrary ideal can be controlled by comparing it to the growth of the lexicographic ideal this is used for instance in finding equations which cut out the hilbert scheme of subschemes of mathbfpn with fixed hilbert polynomial sitting inside an appropriate grassmannian we introduce the notion of an it extremal ideal which extends the notion of the lex ideal to other term orders we then state and prove a version of gotzmanns theorem for these ideals valid in an open subset of a grassmannian | [['gotzmanns', 'persistence', 'states', 'that', 'the', 'growth', 'of', 'an', 'arbitrary', 'ideal', 'can', 'be', 'controlled', 'by', 'comparing', 'it', 'to', 'the', 'growth', 'of', 'the', 'lexicographic', 'ideal', 'this', 'is', 'used', 'for', 'instance', 'in', 'finding', 'equations', 'which', 'cut', 'out', 'the', 'hilbert', 'scheme', 'of', 'subschemes', 'of', 'mathbfpn', 'with', 'fixed', 'hilbert', 'polynomial', 'sitting', 'inside', 'an', 'appropriate', 'grassmannian', 'we', 'introduce', 'the', 'notion', 'of', 'an', 'it', 'extremal', 'ideal', 'which', 'extends', 'the', 'notion', 'of', 'the', 'lex', 'ideal', 'to', 'other', 'term', 'orders', 'we', 'then', 'state', 'and', 'prove', 'a', 'version', 'of', 'gotzmanns', 'theorem', 'for', 'these', 'ideals', 'valid', 'in', 'an', 'open', 'subset', 'of', 'a', 'grassmannian']] | [-0.1497699562384261, 0.08690045281052691, -0.09479645318756609, 0.04168410532419448, -0.04205782041611636, -0.11932499903132734, -0.010327121022704017, 0.2877140210273311, -0.373664814411946, -0.17698568457474365, 0.11146629123654946, -0.21957840262810982, -0.08787579213410777, 0.1928803492135004, -0.08913170795320817, 0.026200251152698438, 0.02673843070237047, 0.046093609649688005, -0.051793472413682255, -0.3213280403617081, 0.39993078059152415, 0.045618236884879676, 0.24736366355184303, 0.03599518105013134, 0.12843463760699428, 0.034273707485028906, 0.0015012813408089721, 0.047788214307966766, -0.17336402221308558, 0.14703265035400956, 0.2931521871815557, 0.1241199632413159, 0.2568404267785018, -0.3922988211776575, -0.09781648283419402, 0.16943104824800367, 0.146089447796365, 0.061297809573538274, 0.013714340998811404, -0.23763722120581762, 0.10382233379135394, -0.17672220297643673, -0.22335742224443136, -0.07571451585618375, 0.047521638724467026, -0.014874986386807312, -0.3026492666432877, -0.022956844945640667, 0.12885058856741322, 0.0902405297940435, -0.057049484440105276, -0.05633178511229546, -0.023536852287614474, 0.057695891718258674, -0.06562712867035651, 0.06103246266771432, 0.06987828425759368, -0.12021336580738021, -0.13259680771886412, 0.3431765057713441, -0.053950420225231464, -0.25689058647675783, 0.12160912526862534, -0.10872549973124557, -0.09791843197308481, 0.10229764228848659, 0.0577795783503224, 0.15795680572805199, -0.07471988916032664, 0.12851968754029772, -0.14636853556832016, 0.08248457193511295, 0.1027192214463392, 0.04842140926959236, 0.15189089564323102, 0.12731440573849756, 0.11872087285408507, 0.20259106940648053, -0.006357087946051489, -0.07796806477658126, -0.350902256231917, -0.22530746554105502, -0.15169189786589096, 0.11428088868421543, -0.13640588191423297, -0.21396753098309526, 0.36697559853212663, 0.1249130796742342, 0.18382342998950701, 0.061295416633821216, 0.23097995811891134, 0.09943812836528472, 0.03402566373267252, 0.1015677647829643, 0.14706446000617807, 0.1279064543449077, -0.029848057634966528, -0.17476149558332627, 0.042140438413733376, 0.18009678178730057] |
710.0187 | A note on \Xi_c(3055)^+ and \Xi_c(3123)^+ | Babar Collaboration announced two new excited charmed baryons $\Xi_c(3055)^+$
and $\Xi_c(3123)^+$. We study their strong decays assuming they are D-wave
states. Some assignments are excluded by comparing our numerical results with
the experimental values of the total widths of $\Xi_c(3055)^+$ and
$\Xi_c(3123)^+$. We also suggest some possible decay modes, which will be
helpful to determine the properties of $\Xi_c(3055)^+$ and $\Xi_c(3123)^+$.
| hep-ph hep-ex nucl-ex nucl-th | babar collaboration announced two new excited charmed baryons xi_c3055 and xi_c3123 we study their strong decays assuming they are dwave states some assignments are excluded by comparing our numerical results with the experimental values of the total widths of xi_c3055 and xi_c3123 we also suggest some possible decay modes which will be helpful to determine the properties of xi_c3055 and xi_c3123 | [['babar', 'collaboration', 'announced', 'two', 'new', 'excited', 'charmed', 'baryons', 'xi_c3055', 'and', 'xi_c3123', 'we', 'study', 'their', 'strong', 'decays', 'assuming', 'they', 'are', 'dwave', 'states', 'some', 'assignments', 'are', 'excluded', 'by', 'comparing', 'our', 'numerical', 'results', 'with', 'the', 'experimental', 'values', 'of', 'the', 'total', 'widths', 'of', 'xi_c3055', 'and', 'xi_c3123', 'we', 'also', 'suggest', 'some', 'possible', 'decay', 'modes', 'which', 'will', 'be', 'helpful', 'to', 'determine', 'the', 'properties', 'of', 'xi_c3055', 'and', 'xi_c3123']] | [-0.1026434198014255, 0.25208416351376745, -0.06038261171369279, 0.16843458492553137, -0.09539949842041633, -0.15735810463790034, 0.09680933881451788, 0.3533544304521113, -0.14013010886360389, -0.27663625984406864, 0.0036093973150079857, -0.3899605487030549, 0.001791831960932153, 0.13600818215884636, 0.0962792549770875, 0.13059574845614347, 0.12590521021333875, -0.03417664012093036, -0.015926132714337685, -0.2534592744749284, 0.2710832079536602, -0.002134119191008513, 0.169578770916054, 0.17474341558933745, -0.11955956078790983, -0.11153652544179168, -0.020544195303418597, -0.03639069882023041, -0.18010602050201327, 0.0752839642971922, 0.21180114540897432, 0.14918496175745471, 0.1521827893400351, -0.36784499889758765, -0.061072330448593275, 0.14538109257481382, 0.18507758149358092, 0.1292870286489516, -0.0644309171551808, -0.47224230807824213, 0.18190381397611508, -0.17142186762734515, -0.128454207694616, -0.17426608180718833, 0.0037307058781629703, 0.01914091389168237, -0.2483347010661344, 0.0988833794678508, -0.06809948097731246, 0.0016418178642138106, -0.09714082612839268, -0.31481946568142194, -0.07218331166115574, 0.04160378819911695, 0.11909094785309596, 0.01056368379151357, 0.10551932722055277, -0.08156319359912857, -0.20655102478187592, 0.33012740732338586, -0.018524094896971204, -0.13633701612993496, 0.14486193694804078, -0.15976634199471504, -0.1874235260498817, 0.08407123441059815, 0.1265871640081044, 0.07375269493118661, -0.11662777061345148, -0.013075483923770304, -0.08450120866497154, 0.16723754861560025, 0.06471314568255769, 0.15225152912564943, 0.2045651039139169, 0.0970090957450085, -0.11893901393794623, 0.0672979795194582, -0.03667144813254231, -0.045747839854304966, -0.3511158554952164, -0.1191492591618148, -0.0915465085751942, 0.049095618675966735, 0.04413506745997259, -0.01906405515266491, 0.37924346803366893, 0.05493559015029278, 0.2846073227644455, 0.023667179851517936, 0.2142655280891989, 0.05571374450772085, 0.029820335273188156, 0.10085062696751146, 0.3386274173628676, 0.21375838998460867, 0.06200682985611626, -0.29096195413196674, 0.06877827428311842, -0.057304710852073844] |
710.0188 | Stellar Intensity Interferometry with Air Cherenkov Telescope arrays | The present generation of ground-based Very High Energy (VHE) gamma-ray
observatories consist of arrays of up to four large (> 12m diameter) light
collectors quite similar to those used by R. Hanbury Brown to measure stellar
diameters by Intensity Interferometry in the late 60's. VHE gamma-ray
observatories to be constructed over the coming decade will involve several
tens of telescopes of similar or greater sizes. Used as intensity
interferometers, they will provide hundreds of independent baselines. Now is
the right time to re-assess the potential of intensity interferometry so that
it can be taken into consideration in the design of these large facilities.
| astro-ph | the present generation of groundbased very high energy vhe gammaray observatories consist of arrays of up to four large 12m diameter light collectors quite similar to those used by r hanbury brown to measure stellar diameters by intensity interferometry in the late 60s vhe gammaray observatories to be constructed over the coming decade will involve several tens of telescopes of similar or greater sizes used as intensity interferometers they will provide hundreds of independent baselines now is the right time to reassess the potential of intensity interferometry so that it can be taken into consideration in the design of these large facilities | [['the', 'present', 'generation', 'of', 'groundbased', 'very', 'high', 'energy', 'vhe', 'gammaray', 'observatories', 'consist', 'of', 'arrays', 'of', 'up', 'to', 'four', 'large', '12m', 'diameter', 'light', 'collectors', 'quite', 'similar', 'to', 'those', 'used', 'by', 'r', 'hanbury', 'brown', 'to', 'measure', 'stellar', 'diameters', 'by', 'intensity', 'interferometry', 'in', 'the', 'late', '60s', 'vhe', 'gammaray', 'observatories', 'to', 'be', 'constructed', 'over', 'the', 'coming', 'decade', 'will', 'involve', 'several', 'tens', 'of', 'telescopes', 'of', 'similar', 'or', 'greater', 'sizes', 'used', 'as', 'intensity', 'interferometers', 'they', 'will', 'provide', 'hundreds', 'of', 'independent', 'baselines', 'now', 'is', 'the', 'right', 'time', 'to', 'reassess', 'the', 'potential', 'of', 'intensity', 'interferometry', 'so', 'that', 'it', 'can', 'be', 'taken', 'into', 'consideration', 'in', 'the', 'design', 'of', 'these', 'large', 'facilities']] | [-0.08372151359513987, 0.2083796945619671, -0.06798229447346837, 0.12831741543692154, -0.0833362745321995, -0.11907352342763368, -0.032201288439169085, 0.4415815284146982, -0.2253548914164889, -0.39636121734100227, 0.09575648664944239, -0.2972179624664611, 0.003125958840874042, 0.2905020660597502, -0.03553186886596913, 0.02396696248701226, 0.13868142766238867, -0.08142312496242013, 0.005705094815222729, -0.27668720778698724, 0.22075325382220576, 0.15703533270268463, 0.19765844583675704, 0.01788281573567028, 0.06523892871451144, -0.05656216779550282, -0.08813829888023582, 0.0003039982745095211, -0.06784300602250333, 0.08958594257231145, 0.3066100340391345, 0.17212555932122747, 0.22943789915492138, -0.4199884542464918, -0.19939880776127764, 0.11947926623271961, 0.1031956911160081, -0.009843335843042415, 0.023322129569600756, -0.3289153378949884, 0.018436748166933803, -0.17366597284397392, -0.18509896487618485, -0.003333965891643482, 0.050283505754800985, 0.1039775996286349, -0.1645207392216167, -0.05488625505263461, -0.05721652152144587, 0.03542613567939649, -0.037784420712805335, -0.16427960672287964, 0.049715096400320236, 0.14251138137735644, 0.03290453209888702, 0.04489913857633285, 0.057629183984210935, -0.10680069733758037, -0.08634199915618143, 0.37756546434270694, -0.12430513969293851, -0.046892039313474125, 0.21508638612588174, -0.23822294589698167, -0.14366503075386086, 0.18470160573419622, 0.19409319643369494, 0.1396202028765544, -0.15407662007640407, -0.0003356539379513147, 0.007251236364062803, 0.1834842737983255, 0.14871777749994733, 0.11556456092398103, 0.3057222830533397, 0.17026856772324261, 0.10557579760001425, 0.09957913127864766, -0.24653418770279079, -0.006961424647848688, -0.23878886152570153, -0.06713520894374918, -0.2082108934866447, 0.13749046926172656, -0.06292018784648355, -0.09202279807890162, 0.3743043392166203, 0.1602316063956595, 0.1622567141848598, 0.024019196821267113, 0.3131738878311772, 0.05580023397559154, 0.18882182183533944, -0.022324260020646833, 0.33511382120424044, 0.0922682734409475, 0.15009497075145334, -0.1359895907905108, 0.0034279691959347796, -0.025017228351869418] |
710.0189 | The Connection Between Low-Mass X-ray Binaries and (Millisecond)
Pulsars: A Binary Evolution Perspective | I review the evolutionary connection between low-mass X-ray binaries (LMXBs)
and pulsars with binary companions (bPSRs) from a stellar binary evolution
perspective. I focus on the evolution of stellar binaries with end-states
consisting of a pulsar with a low-mass (<1.0 solar mass) companion, starting at
the point the companion's progenitor first initiates mass transfer onto the
neutron star. Whether this mass transfer is stable and the physics driving
ongoing mass transfer partitions the phase space of the companions's initial
mass and initial orbital period into five regions. The qualitative nature of
the mass-transfer process and the binary's final end-state differ between
systems in each region; four of these regions each produce a particular class
of LMXBs. I compare the theoretical expectations to the populations of galactic
field LMXBs with companion-mass constraints and field bPSRs. I show that the
population of accreting millisecond pulsars are all identified with only two of
the four LMXB classes and that these systems do not have readily identifiable
progeny in the bPSR population. I discuss which sub-populations of bPSRs can be
explained by binary evolution theory and those that currently are not. Finally
I discuss some outstanding questions in this field.
| astro-ph | i review the evolutionary connection between lowmass xray binaries lmxbs and pulsars with binary companions bpsrs from a stellar binary evolution perspective i focus on the evolution of stellar binaries with endstates consisting of a pulsar with a lowmass 10 solar mass companion starting at the point the companions progenitor first initiates mass transfer onto the neutron star whether this mass transfer is stable and the physics driving ongoing mass transfer partitions the phase space of the companionss initial mass and initial orbital period into five regions the qualitative nature of the masstransfer process and the binarys final endstate differ between systems in each region four of these regions each produce a particular class of lmxbs i compare the theoretical expectations to the populations of galactic field lmxbs with companionmass constraints and field bpsrs i show that the population of accreting millisecond pulsars are all identified with only two of the four lmxb classes and that these systems do not have readily identifiable progeny in the bpsr population i discuss which subpopulations of bpsrs can be explained by binary evolution theory and those that currently are not finally i discuss some outstanding questions in this field | [['i', 'review', 'the', 'evolutionary', 'connection', 'between', 'lowmass', 'xray', 'binaries', 'lmxbs', 'and', 'pulsars', 'with', 'binary', 'companions', 'bpsrs', 'from', 'a', 'stellar', 'binary', 'evolution', 'perspective', 'i', 'focus', 'on', 'the', 'evolution', 'of', 'stellar', 'binaries', 'with', 'endstates', 'consisting', 'of', 'a', 'pulsar', 'with', 'a', 'lowmass', '10', 'solar', 'mass', 'companion', 'starting', 'at', 'the', 'point', 'the', 'companions', 'progenitor', 'first', 'initiates', 'mass', 'transfer', 'onto', 'the', 'neutron', 'star', 'whether', 'this', 'mass', 'transfer', 'is', 'stable', 'and', 'the', 'physics', 'driving', 'ongoing', 'mass', 'transfer', 'partitions', 'the', 'phase', 'space', 'of', 'the', 'companionss', 'initial', 'mass', 'and', 'initial', 'orbital', 'period', 'into', 'five', 'regions', 'the', 'qualitative', 'nature', 'of', 'the', 'masstransfer', 'process', 'and', 'the', 'binarys', 'final', 'endstate', 'differ', 'between', 'systems', 'in', 'each', 'region', 'four', 'of', 'these', 'regions', 'each', 'produce', 'a', 'particular', 'class', 'of', 'lmxbs', 'i', 'compare', 'the', 'theoretical', 'expectations', 'to', 'the', 'populations', 'of', 'galactic', 'field', 'lmxbs', 'with', 'companionmass', 'constraints', 'and', 'field', 'bpsrs', 'i', 'show', 'that', 'the', 'population', 'of', 'accreting', 'millisecond', 'pulsars', 'are', 'all', 'identified', 'with', 'only', 'two', 'of', 'the', 'four', 'lmxb', 'classes', 'and', 'that', 'these', 'systems', 'do', 'not', 'have', 'readily', 'identifiable', 'progeny', 'in', 'the', 'bpsr', 'population', 'i', 'discuss', 'which', 'subpopulations', 'of', 'bpsrs', 'can', 'be', 'explained', 'by', 'binary', 'evolution', 'theory', 'and', 'those', 'that', 'currently', 'are', 'not', 'finally', 'i', 'discuss', 'some', 'outstanding', 'questions', 'in', 'this', 'field']] | [-0.11305871964240274, 0.17707967539749964, -0.05673530642135242, 0.13200392982940384, -0.10533120864592721, -0.08600628317679404, 0.06767662477945986, 0.3812699166712226, -0.18921846147991486, -0.34597883504556165, 0.07146529641216044, -0.2726555183942708, -0.06346385046052411, 0.21079252407581248, -0.04688929282767895, -0.046264112641382, 0.14373180371008276, -0.020903860100007318, -0.0894925386054422, -0.2738423384893319, 0.3955454963389016, -0.013998036066396642, 0.09029048871844239, -0.0913290278686057, 0.05453971502630366, -0.06299375024259321, -0.017251247420850612, -0.052854295320882094, -0.13846708386328602, 0.040415567792375984, 0.24991662048533098, 0.19005559305132358, 0.196341371658791, -0.3587278470627426, -0.20611618581640812, 0.06983848087028745, 0.17308223240627169, 0.049210546549635255, -0.09965191271993783, -0.22481024153374576, 0.06128595942588158, -0.24405664612164663, -0.13542709708665066, 0.06365003463927388, 0.059628814741484244, 0.08987309068162955, -0.1931499256044338, 0.07957040871848765, 0.08687864609792367, 0.027148588523916786, -0.16365852048044505, -0.13253600123823264, -0.0559998668715857, 0.09354182110004819, 0.07361115246644237, 0.04935012965645526, 0.1490348543774951, -0.12924096419130326, -0.10064657196671385, 0.34822099217088875, -0.017974201014947108, -0.07576172142865654, 0.25576195465256796, -0.2462031809257862, -0.1989712426030874, 0.10263569902427033, 0.16453382155747565, 0.13703840164246864, -0.20155713622957544, 0.002795652253853311, 0.004131682609572776, 0.20901431951785254, 0.03150772066071591, 0.05725210176459178, 0.41452071554094705, 0.1377155922863935, -0.026389722221473365, 0.08279360772036112, -0.1814637875938116, -0.10126619943724849, -0.2148831324632635, -0.08501917562092241, -0.11330916404396478, 0.10032004394497093, -0.09923935014001134, -0.1361273303279922, 0.37060773076931225, 0.11742628229657169, 0.2103436004620084, 0.018554529855051797, 0.25455251478196417, 0.09936124804074463, 0.03328652452107713, 0.10837768592161232, 0.3036467120150097, 0.17090061946037544, 0.0790545997262654, -0.2777406842575034, 0.08140528067639194, -0.0005916992019977152] |
710.019 | The potential for intensity interferometry with gamma-ray telescope
arrays | Intensity interferometry exploits a quantum optical effect in order to
measure objects with extremely small angular scales. The first experiment to
use this technique was the Narrabri intensity interferometer, which was
successfully used in the 1970s to measure 32 stellar diameters at optical
wavelengths; some as small as 0.4 milli-arcseconds. The advantage of this
technique, in comparison with Michelson interferometers, is that it requires
only relatively crude, but large, light collectors equipped with fast
(nanosecond) photon detectors. Ground-based gamma-ray telescope arrays have
similar specifications, and a number of these observatories are now operating
worldwide, with more extensive installations planned for the future. These
future instruments (CTA, AGIS, completion 2015) with 30-90 telescopes will
provide 400-4000 different baselines that range in length between 50m and a
kilometre. Intensity interferometry with such arrays of telescopes attains $50
\mu$-arcsecond resolution for a limiting visual magnitude ~8.5. Phase
information can be extracted from the interferometric measurement with phase
closure, allowing image reconstruction. This technique opens the possibility of
a wide range of studies amongst others, probing the stellar surface activity
and the dynamic AU scale circumstellar environment of stars in various crucial
evolutionary stages. Here we focuse on the astrophysical potential of an
intensity interferometer utilising planned new gamma-ray instrumentation.
| astro-ph | intensity interferometry exploits a quantum optical effect in order to measure objects with extremely small angular scales the first experiment to use this technique was the narrabri intensity interferometer which was successfully used in the 1970s to measure 32 stellar diameters at optical wavelengths some as small as 04 milliarcseconds the advantage of this technique in comparison with michelson interferometers is that it requires only relatively crude but large light collectors equipped with fast nanosecond photon detectors groundbased gammaray telescope arrays have similar specifications and a number of these observatories are now operating worldwide with more extensive installations planned for the future these future instruments cta agis completion 2015 with 3090 telescopes will provide 4004000 different baselines that range in length between 50m and a kilometre intensity interferometry with such arrays of telescopes attains 50 muarcsecond resolution for a limiting visual magnitude 85 phase information can be extracted from the interferometric measurement with phase closure allowing image reconstruction this technique opens the possibility of a wide range of studies amongst others probing the stellar surface activity and the dynamic au scale circumstellar environment of stars in various crucial evolutionary stages here we focuse on the astrophysical potential of an intensity interferometer utilising planned new gammaray instrumentation | [['intensity', 'interferometry', 'exploits', 'a', 'quantum', 'optical', 'effect', 'in', 'order', 'to', 'measure', 'objects', 'with', 'extremely', 'small', 'angular', 'scales', 'the', 'first', 'experiment', 'to', 'use', 'this', 'technique', 'was', 'the', 'narrabri', 'intensity', 'interferometer', 'which', 'was', 'successfully', 'used', 'in', 'the', '1970s', 'to', 'measure', '32', 'stellar', 'diameters', 'at', 'optical', 'wavelengths', 'some', 'as', 'small', 'as', '04', 'milliarcseconds', 'the', 'advantage', 'of', 'this', 'technique', 'in', 'comparison', 'with', 'michelson', 'interferometers', 'is', 'that', 'it', 'requires', 'only', 'relatively', 'crude', 'but', 'large', 'light', 'collectors', 'equipped', 'with', 'fast', 'nanosecond', 'photon', 'detectors', 'groundbased', 'gammaray', 'telescope', 'arrays', 'have', 'similar', 'specifications', 'and', 'a', 'number', 'of', 'these', 'observatories', 'are', 'now', 'operating', 'worldwide', 'with', 'more', 'extensive', 'installations', 'planned', 'for', 'the', 'future', 'these', 'future', 'instruments', 'cta', 'agis', 'completion', '2015', 'with', '3090', 'telescopes', 'will', 'provide', '4004000', 'different', 'baselines', 'that', 'range', 'in', 'length', 'between', '50m', 'and', 'a', 'kilometre', 'intensity', 'interferometry', 'with', 'such', 'arrays', 'of', 'telescopes', 'attains', '50', 'muarcsecond', 'resolution', 'for', 'a', 'limiting', 'visual', 'magnitude', '85', 'phase', 'information', 'can', 'be', 'extracted', 'from', 'the', 'interferometric', 'measurement', 'with', 'phase', 'closure', 'allowing', 'image', 'reconstruction', 'this', 'technique', 'opens', 'the', 'possibility', 'of', 'a', 'wide', 'range', 'of', 'studies', 'amongst', 'others', 'probing', 'the', 'stellar', 'surface', 'activity', 'and', 'the', 'dynamic', 'au', 'scale', 'circumstellar', 'environment', 'of', 'stars', 'in', 'various', 'crucial', 'evolutionary', 'stages', 'here', 'we', 'focuse', 'on', 'the', 'astrophysical', 'potential', 'of', 'an', 'intensity', 'interferometer', 'utilising', 'planned', 'new', 'gammaray', 'instrumentation']] | [-0.09650954473366188, 0.17734126590665078, -0.06298669776992827, 0.06563425488392369, -0.09290733267439574, -0.11988037415870988, -0.004183327419138173, 0.45775176820049923, -0.19970882155523612, -0.3974110323390583, 0.12163506669174062, -0.2769032163863502, -0.07017260280596774, 0.2754988086273576, -0.033149488256653634, 0.05709251054994217, 0.12338098306890305, -0.0929292732581394, -0.04534849616494484, -0.19840906007987696, 0.22079524745960244, 0.1719957103719935, 0.23413932549017596, -0.00010499794308732195, 0.11938286138039718, -0.0465064688866799, -0.06853955852140377, -0.012124360772985511, -0.08328066964118412, 0.062378882003448356, 0.31868611270698105, 0.1418602910460677, 0.21884937353841052, -0.39988447274649286, -0.19580999971537782, 0.09229310496352476, 0.08876957761964238, 0.04935327808020591, -0.030724242124947856, -0.32694080352964927, -0.0011404296644486305, -0.17419005763353554, -0.15898217898339215, -0.0075545922239742625, 0.032989348766462104, 0.05976833284991544, -0.21712271564486776, -0.024370767846533165, -0.05121606288068905, 0.08411315966215803, -0.03323144228424786, -0.11294387300021765, 0.05889186931592299, 0.11208365284724206, -0.03525586405814421, 0.0677376189280483, 0.11968114635475526, -0.11745249384491727, -0.07454899948022169, 0.35358319650972037, -0.11523038510221806, -0.06103886195980921, 0.20285143355225643, -0.22677961392328144, -0.12678311144615093, 0.1567999095871772, 0.16838525313111705, 0.12524511718713655, -0.1392434582659384, 0.004431730517038576, 0.02642416802757397, 0.24154654540485, 0.11590179173593841, 0.13073582503853776, 0.29134529007189885, 0.24683574977467154, 0.10062531567769262, 0.10076990667560205, -0.2821608576049074, -0.00793969673672464, -0.23329106488424103, -0.09507376517328184, -0.1649215878305457, 0.06581049493511162, -0.10336016823130194, -0.08341613107179179, 0.35639680700785503, 0.1876007705926895, 0.1377758688952138, 0.03220127350338394, 0.36599280996838723, 0.013323613707112466, 0.14552050157245702, -0.011186113515187328, 0.3019304454901608, 0.10481702071194332, 0.16093965131653154, -0.17084833743255132, 0.028028926034117253, -0.021729397770335397] |
710.0191 | Physics Engineering in the Study of the Pioneer Anomaly | The Pioneer 10/11 spacecraft yielded the most precise navigation in deep
space to date. However, their radio-metric tracking data received from the
distances between 20--70 astronomical units from the Sun has consistently
indicated the presence of a small, anomalous, Doppler frequency drift. The
drift is a blue frequency shift that can be interpreted as a sunward
acceleration of a_P = (8.74 +/- 1.33) x 10^{-10} m/s^2 for each particular
spacecraft. This signal has become known as the Pioneer anomaly; the nature of
this anomaly remains unexplained.
Recently new Pioneer 10 and 11 radio-metric Doppler and flight telemetry data
became available. The newly available Doppler data set is significantly
enlarged when compared to the data used in previous investigations and is
expected to be the primary source for the investigation of the anomaly. In
addition, the flight telemetry files, original project documentation, and newly
developed software tools are now used to reconstruct the engineering history of
both spacecraft. With the help of this information, a thermal model of the
Pioneer vehicles is being developed to study possible contribution of thermal
recoil force acting on the two spacecraft. The ultimate goal of these physics
engineering efforts is to evaluate the effect of on-board systems on the
spacecrafts' trajectories.
| physics.space-ph gr-qc physics.gen-ph | the pioneer 1011 spacecraft yielded the most precise navigation in deep space to date however their radiometric tracking data received from the distances between 2070 astronomical units from the sun has consistently indicated the presence of a small anomalous doppler frequency drift the drift is a blue frequency shift that can be interpreted as a sunward acceleration of a_p 874 133 x 1010 ms2 for each particular spacecraft this signal has become known as the pioneer anomaly the nature of this anomaly remains unexplained recently new pioneer 10 and 11 radiometric doppler and flight telemetry data became available the newly available doppler data set is significantly enlarged when compared to the data used in previous investigations and is expected to be the primary source for the investigation of the anomaly in addition the flight telemetry files original project documentation and newly developed software tools are now used to reconstruct the engineering history of both spacecraft with the help of this information a thermal model of the pioneer vehicles is being developed to study possible contribution of thermal recoil force acting on the two spacecraft the ultimate goal of these physics engineering efforts is to evaluate the effect of onboard systems on the spacecrafts trajectories | [['the', 'pioneer', '1011', 'spacecraft', 'yielded', 'the', 'most', 'precise', 'navigation', 'in', 'deep', 'space', 'to', 'date', 'however', 'their', 'radiometric', 'tracking', 'data', 'received', 'from', 'the', 'distances', 'between', '2070', 'astronomical', 'units', 'from', 'the', 'sun', 'has', 'consistently', 'indicated', 'the', 'presence', 'of', 'a', 'small', 'anomalous', 'doppler', 'frequency', 'drift', 'the', 'drift', 'is', 'a', 'blue', 'frequency', 'shift', 'that', 'can', 'be', 'interpreted', 'as', 'a', 'sunward', 'acceleration', 'of', 'a_p', '874', '133', 'x', '1010', 'ms2', 'for', 'each', 'particular', 'spacecraft', 'this', 'signal', 'has', 'become', 'known', 'as', 'the', 'pioneer', 'anomaly', 'the', 'nature', 'of', 'this', 'anomaly', 'remains', 'unexplained', 'recently', 'new', 'pioneer', '10', 'and', '11', 'radiometric', 'doppler', 'and', 'flight', 'telemetry', 'data', 'became', 'available', 'the', 'newly', 'available', 'doppler', 'data', 'set', 'is', 'significantly', 'enlarged', 'when', 'compared', 'to', 'the', 'data', 'used', 'in', 'previous', 'investigations', 'and', 'is', 'expected', 'to', 'be', 'the', 'primary', 'source', 'for', 'the', 'investigation', 'of', 'the', 'anomaly', 'in', 'addition', 'the', 'flight', 'telemetry', 'files', 'original', 'project', 'documentation', 'and', 'newly', 'developed', 'software', 'tools', 'are', 'now', 'used', 'to', 'reconstruct', 'the', 'engineering', 'history', 'of', 'both', 'spacecraft', 'with', 'the', 'help', 'of', 'this', 'information', 'a', 'thermal', 'model', 'of', 'the', 'pioneer', 'vehicles', 'is', 'being', 'developed', 'to', 'study', 'possible', 'contribution', 'of', 'thermal', 'recoil', 'force', 'acting', 'on', 'the', 'two', 'spacecraft', 'the', 'ultimate', 'goal', 'of', 'these', 'physics', 'engineering', 'efforts', 'is', 'to', 'evaluate', 'the', 'effect', 'of', 'onboard', 'systems', 'on', 'the', 'spacecrafts', 'trajectories']] | [-0.10236187324649197, 0.14066528309565768, -0.07175380595414454, 0.03132893941559208, -0.12739169156617103, -0.08921235214859503, 0.015169084058417118, 0.3691045037863374, -0.24404405371123908, -0.3882122833290886, 0.1396190595531188, -0.305888885292042, -0.098894037662688, 0.2451722995531015, -0.10356300887909967, 0.07098842245428458, 0.08484176280406103, 0.06213799509329393, -0.013888192624732504, -0.19607578910768544, 0.2089307436915845, 0.1476119375026125, 0.2407542560158261, 0.003324552711930272, 0.10980973623044715, -0.04221490615101157, -0.07464614980791322, -0.009593583079763716, -0.07959478833917648, 0.10942717711457269, 0.24166996769853022, 0.1442022282532051, 0.22520142570868426, -0.3875291563762242, -0.2388875187995533, 0.0750928625536343, 0.1201468747937778, 0.056238360091811046, -0.051293134726994837, -0.33588542549428074, 0.013588983565568924, -0.15951766204728068, -0.13280537356188812, -0.006747878912160648, 0.06348055409148846, -0.026236818438537382, -0.2210201367726732, 0.04649394249895076, -0.0057974225846027915, 0.10397736102744352, -0.11054793742882527, -0.13073349371095935, 0.014550211874759007, 0.18898794181629508, 0.08804208718527876, 0.08364277563683287, 0.1635397391886834, -0.06114995529313484, -0.0970182046237146, 0.4212872373743677, -0.05261728578411481, -0.08602733182602142, 0.18845373367338314, -0.1707686525952144, -0.12557121401187032, 0.16099219391688557, 0.16931650949203791, 0.05482135891832192, -0.21492318137968017, 0.04771950261270189, 0.034807709575283764, 0.15519833524184137, 0.05935627222745953, 0.005411825875532539, 0.2170123234881983, 0.15741615699502576, 0.05203850157604571, 0.07022803924936692, -0.2062741729223133, -0.034842266174154264, -0.24240126010423124, -0.1398241085961333, -0.16594086676680794, 0.019334241525297436, -0.048837812005384715, -0.0883010157393109, 0.3492103537142861, 0.2156789950483168, 0.17689537264032326, -0.018437760415276987, 0.36837840378832293, 0.05680946565688846, 0.11949255369465533, 0.0638296409628774, 0.3136784561553641, 0.1001504345844938, 0.17090172213833213, -0.21173820199956203, 0.07214092405104335, 0.008917663696075917] |
710.0192 | Binary quantization using Belief Propagation with decimation over factor
graphs of LDGM codes | We propose a new algorithm for binary quantization based on the Belief
Propagation algorithm with decimation over factor graphs of Low Density
Generator Matrix (LDGM) codes. This algorithm, which we call Bias Propagation
(BiP), can be considered as a special case of the Survey Propagation algorithm
proposed for binary quantization by Wainwright et al. [8]. It achieves the same
near-optimal rate-distortion performance with a substantially simpler framework
and 10-100 times faster implementation. We thus challenge the widespread belief
that binary quantization based on sparse linear codes cannot be solved by
simple Belief Propagation algorithms. Finally, we give examples of suitably
irregular LDGM codes that work with the BiP algorithm and show their
performance.
| cs.IT math.IT | we propose a new algorithm for binary quantization based on the belief propagation algorithm with decimation over factor graphs of low density generator matrix ldgm codes this algorithm which we call bias propagation bip can be considered as a special case of the survey propagation algorithm proposed for binary quantization by wainwright et al 8 it achieves the same nearoptimal ratedistortion performance with a substantially simpler framework and 10100 times faster implementation we thus challenge the widespread belief that binary quantization based on sparse linear codes cannot be solved by simple belief propagation algorithms finally we give examples of suitably irregular ldgm codes that work with the bip algorithm and show their performance | [['we', 'propose', 'a', 'new', 'algorithm', 'for', 'binary', 'quantization', 'based', 'on', 'the', 'belief', 'propagation', 'algorithm', 'with', 'decimation', 'over', 'factor', 'graphs', 'of', 'low', 'density', 'generator', 'matrix', 'ldgm', 'codes', 'this', 'algorithm', 'which', 'we', 'call', 'bias', 'propagation', 'bip', 'can', 'be', 'considered', 'as', 'a', 'special', 'case', 'of', 'the', 'survey', 'propagation', 'algorithm', 'proposed', 'for', 'binary', 'quantization', 'by', 'wainwright', 'et', 'al', '8', 'it', 'achieves', 'the', 'same', 'nearoptimal', 'ratedistortion', 'performance', 'with', 'a', 'substantially', 'simpler', 'framework', 'and', '10100', 'times', 'faster', 'implementation', 'we', 'thus', 'challenge', 'the', 'widespread', 'belief', 'that', 'binary', 'quantization', 'based', 'on', 'sparse', 'linear', 'codes', 'can', 'not', 'be', 'solved', 'by', 'simple', 'belief', 'propagation', 'algorithms', 'finally', 'we', 'give', 'examples', 'of', 'suitably', 'irregular', 'ldgm', 'codes', 'that', 'work', 'with', 'the', 'bip', 'algorithm', 'and', 'show', 'their', 'performance']] | [-0.12389251090618864, 0.04809939085195462, -0.07575919328812968, 0.054807215944349175, -0.10773867413017638, -0.19384556360902233, 0.0625653195260256, 0.45679766403739913, -0.2650872908426416, -0.3064389031118991, 0.09077066223937691, -0.15629097151676224, -0.27414234318329317, 0.20969778453735144, -0.10257815476711186, 0.12138003596970648, 0.137558101084116, 0.014863592262069384, -0.131407653602461, -0.36037888568254156, 0.2481905484343307, 0.1693366326211968, 0.29482037640838443, -0.026588613616727423, 0.12199326259035029, 0.06352665670738931, 0.016118350189603996, 0.010299550712500749, -0.10441555363484026, 0.08129656566674576, 0.259439040457405, 0.22883802384808005, 0.2740015737843095, -0.38179561607703044, -0.22041856335361668, 0.057027736400956645, 0.17121118853652947, 0.1667630675753268, -0.06709397127729301, -0.26521501680039555, 0.14316651640917388, -0.2202658761729764, -0.01680754705152491, -0.04884260269331239, -0.06213299145007081, 0.03109418551984913, -0.2907584366029161, 0.02367928679297237, 0.10604000000054375, -0.008426783459359094, -0.0018088594977662229, -0.15766683924052732, 0.09469923801850855, -0.007527395449742152, -0.039695517936100565, 0.0627803688158134, 0.06579965611168168, -0.03925616972009537, -0.17560621344059574, 0.3377257055100544, -0.06455128533988293, -0.2200016222747141, 0.1298535710339549, -0.014176672074347408, -0.12786642218359925, 0.15162019663196252, 0.2541947607604558, 0.13232821770208447, -0.1180078713305033, 0.07879180821979198, -0.065414289540505, 0.16223716090858115, 0.07291456490036166, 0.034499742793278734, 0.11641456673264895, 0.15683135498119027, 0.06255514954069727, 0.14672095670667068, -0.06754506379161683, -0.10547123995268505, -0.2132972517234808, -0.09417232599011377, -0.1952152815361491, 0.00989095236416273, -0.1677486534440265, -0.18195286599036894, 0.3844399388324012, 0.17808355028299908, 0.17082151183817668, 0.16246602519337708, 0.3044097850082867, 0.08833000897899629, 0.05501490211923068, 0.23440634612026706, 0.17629171722658435, 0.13760907974567982, 0.028537836105035814, -0.19950764454500913, 0.09576129486065424, 0.12041621237560257] |
710.0193 | Selfdecomposability and semi-selfdecomposability in subordination of
cone-parameter convolution semigroups | Extension of two known facts concerning subordination is made. The first fact
is that, in subordination of 1-dimensional Brownian motion with drift,
selfdecomposability is inherited from subordinator to subordinated. This is
extended to subordination of cone-parameter convolution semigroups. The second
fact is that, in subordination of strictly stable cone-parameter convolution
semigroups on $\mathbb{R}^d$, selfdecomposability is inherited from
subordinator to subordinated. This is extended to semi-selfdecomposability.
| math.PR | extension of two known facts concerning subordination is made the first fact is that in subordination of 1dimensional brownian motion with drift selfdecomposability is inherited from subordinator to subordinated this is extended to subordination of coneparameter convolution semigroups the second fact is that in subordination of strictly stable coneparameter convolution semigroups on mathbbrd selfdecomposability is inherited from subordinator to subordinated this is extended to semiselfdecomposability | [['extension', 'of', 'two', 'known', 'facts', 'concerning', 'subordination', 'is', 'made', 'the', 'first', 'fact', 'is', 'that', 'in', 'subordination', 'of', '1dimensional', 'brownian', 'motion', 'with', 'drift', 'selfdecomposability', 'is', 'inherited', 'from', 'subordinator', 'to', 'subordinated', 'this', 'is', 'extended', 'to', 'subordination', 'of', 'coneparameter', 'convolution', 'semigroups', 'the', 'second', 'fact', 'is', 'that', 'in', 'subordination', 'of', 'strictly', 'stable', 'coneparameter', 'convolution', 'semigroups', 'on', 'mathbbrd', 'selfdecomposability', 'is', 'inherited', 'from', 'subordinator', 'to', 'subordinated', 'this', 'is', 'extended', 'to', 'semiselfdecomposability']] | [-0.021319327545502493, 0.17821388571493088, -0.13419821904972196, 0.12208552613681663, -0.14487901170768083, -0.07595665972199171, -0.05233364526723181, 0.4163318463721343, -0.4559477857284008, -0.0737438592458925, 0.13007611923685838, -0.3211676999926567, -0.13544769636205128, 0.20798593483144237, -0.2236960137585899, 0.04813133620266472, -0.00825672897119676, 0.028929656506666252, -0.00010128347569280454, -0.18609904152746762, 0.37579970481625247, -0.015038140043015442, 0.15255581481652636, -0.049338008277118206, 0.14061539388832547, -0.0568094035129874, -0.09607399659111135, -0.08686210693145592, -0.14297921823515114, 0.12648923068697895, 0.1896531195079367, 0.00895715526665651, 0.29861746199669376, -0.33986050552958924, -0.1735432567074895, 0.16036591485270388, 0.13129749009385705, -0.039704234346807483, -0.014823996291060241, -0.3610002145531677, 0.07407051508104609, -0.1097317021940985, -0.16958190626915423, -0.06144730327838671, 0.11965193729397029, 0.10117318703522606, -0.32067950086427793, 0.1108155318746163, 0.22057706850671, 0.010674094638576912, -0.05835822076656886, -0.08049860802449045, 0.0004391332247084187, 0.03024314222256503, 0.08671903624124225, -0.003465306389355852, 0.1514475930842661, -0.01861526107325429, -0.15684740837182728, 0.3259351073253539, -0.0608982392736981, -0.27318753530421563, 0.14122539232935635, -0.2569769300565484, -0.18137802081483026, 0.15582025009057215, 0.04803419832680975, 0.10864365212018451, -0.22958878956494794, 0.14893834208769183, -0.0892453879763883, 0.10070258772541438, 0.11919723538261268, -0.04715956815127884, 0.03665663234348739, 0.1977285274995431, 0.1280170641238651, 0.22002543328750518, 0.030654581177288726, -0.195455968680401, -0.3604838476486264, -0.17704253424064167, -0.23748495357651864, 0.16216607923589407, -0.062242024067428806, -0.1859503453897853, 0.30866800479951406, 0.1985558218082353, 0.1221738728664575, 0.14224054179184378, 0.16589605425214093, 0.18984014371169672, 0.002619314803591659, 0.012513690121141412, 0.06562640608078049, 0.26360445824121276, 0.05536403534783711, -0.09136969063312732, 0.0913056953614878, 0.1777479891485024] |
710.0194 | Invariant chiral differential operators and the W_3 algebra | Attached to a vector space V is a vertex algebra S(V) known as the beta-gamma
system or algebra of chiral differential operators on V. It is analogous to the
Weyl algebra D(V), and is related to D(V) via the Zhu functor. If G is a
connected Lie group with Lie algebra g, and V is a linear G-representation,
there is an action of the corresponding affine algebra on S(V). The invariant
space S(V)^{g[t]} is a commutant subalgebra of S(V), and plays the role of the
classical invariant ring D(V)^G. When G is an abelian Lie group acting
diagonally on V, we find a finite set of generators for S(V)^{g[t]}, and show
that S(V)^{g[t]} is a simple vertex algebra and a member of a Howe pair. The
Zamolodchikov W_3 algebra with c=-2 plays a fundamental role in the structure
of S(V)^{g[t]}.
| math.RT math.QA | attached to a vector space v is a vertex algebra sv known as the betagamma system or algebra of chiral differential operators on v it is analogous to the weyl algebra dv and is related to dv via the zhu functor if g is a connected lie group with lie algebra g and v is a linear grepresentation there is an action of the corresponding affine algebra on sv the invariant space svgt is a commutant subalgebra of sv and plays the role of the classical invariant ring dvg when g is an abelian lie group acting diagonally on v we find a finite set of generators for svgt and show that svgt is a simple vertex algebra and a member of a howe pair the zamolodchikov w_3 algebra with c2 plays a fundamental role in the structure of svgt | [['attached', 'to', 'a', 'vector', 'space', 'v', 'is', 'a', 'vertex', 'algebra', 'sv', 'known', 'as', 'the', 'betagamma', 'system', 'or', 'algebra', 'of', 'chiral', 'differential', 'operators', 'on', 'v', 'it', 'is', 'analogous', 'to', 'the', 'weyl', 'algebra', 'dv', 'and', 'is', 'related', 'to', 'dv', 'via', 'the', 'zhu', 'functor', 'if', 'g', 'is', 'a', 'connected', 'lie', 'group', 'with', 'lie', 'algebra', 'g', 'and', 'v', 'is', 'a', 'linear', 'grepresentation', 'there', 'is', 'an', 'action', 'of', 'the', 'corresponding', 'affine', 'algebra', 'on', 'sv', 'the', 'invariant', 'space', 'svgt', 'is', 'a', 'commutant', 'subalgebra', 'of', 'sv', 'and', 'plays', 'the', 'role', 'of', 'the', 'classical', 'invariant', 'ring', 'dvg', 'when', 'g', 'is', 'an', 'abelian', 'lie', 'group', 'acting', 'diagonally', 'on', 'v', 'we', 'find', 'a', 'finite', 'set', 'of', 'generators', 'for', 'svgt', 'and', 'show', 'that', 'svgt', 'is', 'a', 'simple', 'vertex', 'algebra', 'and', 'a', 'member', 'of', 'a', 'howe', 'pair', 'the', 'zamolodchikov', 'w_3', 'algebra', 'with', 'c2', 'plays', 'a', 'fundamental', 'role', 'in', 'the', 'structure', 'of', 'svgt']] | [-0.21551291781610676, 0.07235993129371698, -0.07258130760663854, -0.010964860237436369, -0.17359642816840537, -0.13691927891091576, -0.0499267025451575, 0.34970340185931753, -0.3478441868185265, -0.1843962341846366, 0.1088565893404718, -0.26792418979249694, -0.1539065372215451, 0.16449342008646844, -0.11193487750965038, -0.07126330668771906, 0.058294427817288254, 0.1992646544390092, -0.08021206858102232, -0.20413406250965116, 0.398673491811912, -0.027743106551601417, 0.2076504813241107, -0.020601069418314313, 0.15512637456413358, 0.04810516231061358, -0.0024324087958250726, -0.01912864444353285, -0.09090974870596255, 0.08355436895840934, 0.24881607037303702, 0.03482441824827609, 0.21040807792950156, -0.2939279734456379, -0.07805423016127731, 0.17940100195036005, 0.11151883371972612, -0.008960931769771767, -0.043986535864782385, -0.2602962996810675, 0.09164706150674777, -0.22081762015087797, -0.12145198086343173, 0.0015167487511332314, 0.17922236580468182, -0.06677390168687063, -0.2996412528599779, 0.02883664395859731, 0.076085773729054, 0.1079102787987462, -0.023785398295149206, -0.09663383307051845, -0.1779494391804162, 0.06944025812574961, -0.11941533227883545, 0.15344621968522135, 0.14150262004030603, -0.0986447702843829, -0.14607623163610697, 0.4213823776342906, -0.06482075488893316, -0.22267140542556133, 0.11155811935896054, -0.15830344956235162, -0.15575438817530604, 0.04860103308622326, 0.0434312764821308, 0.10674708393468921, -0.045169229166120727, 0.26689553865289783, -0.14840621233119497, 0.02886122555521849, 0.011098301776551774, -0.011710876751957195, 0.13995483256211239, 0.12007139309508992, 0.10396680045960238, 0.10943145100692553, 0.02763812803896144, 0.010050136442961438, -0.38677615369004864, -0.19113032081430512, -0.1148020221585674, 0.11851608813740314, -0.0769978118157139, -0.15369040087264563, 0.39965002220789236, 0.0528759010464585, 0.19077527249298457, 0.018542107314403568, 0.15186878181993962, 0.1487131594065951, 0.14388225578503416, 0.07682800392420697, 0.11906947205841009, 0.28655769803029085, -0.04897504501111273, -0.21738211693508283, -0.062397586976710176, 0.2323746614124892] |
710.0195 | Protection of New York City Urban Fabric With Low-Cost Textile Storm
Surge Barriers | Textile storm surge barriers, sited at multiple locations, are literally
extensions of the city world famous urban fabric - another manifestation of the
dominance of the City over local Nature. Textile Storm Surge Barriers (TSSB)
are intended to preserve the City from North Atlantic Ocean hurricanes that
cause sea waves impacting the densely populated and high-value real estate,
instigating catastrophic, and possibly long-term, infrastructure and monetary
losses. Complicating TSSB installation macroproject planning is the presence of
the Hudson and other rivers, several small tidal straits, future climate change
and other factors. We conclude that TSSB installations made of homogeneous
construction materials are worthwhile investigating because they may be less
expensive to build, and more easily replaced following any failure, than
concrete and steel storm surge barriers, which are also made of homogeneous
materials. We suppose the best macroproject outcome will develop in the perfect
Macro-engineering planning way and at the optimum time-of-need during the very
early 21st Century by, among other groups, the Port Authority of New York and
New Jersey. TSSB technology is a practical advance over wartime harbor
anti-submarine/anti-torpedo steel nets and rocky Churchill Barriers.
| physics.gen-ph physics.ao-ph physics.soc-ph | textile storm surge barriers sited at multiple locations are literally extensions of the city world famous urban fabric another manifestation of the dominance of the city over local nature textile storm surge barriers tssb are intended to preserve the city from north atlantic ocean hurricanes that cause sea waves impacting the densely populated and highvalue real estate instigating catastrophic and possibly longterm infrastructure and monetary losses complicating tssb installation macroproject planning is the presence of the hudson and other rivers several small tidal straits future climate change and other factors we conclude that tssb installations made of homogeneous construction materials are worthwhile investigating because they may be less expensive to build and more easily replaced following any failure than concrete and steel storm surge barriers which are also made of homogeneous materials we suppose the best macroproject outcome will develop in the perfect macroengineering planning way and at the optimum timeofneed during the very early 21st century by among other groups the port authority of new york and new jersey tssb technology is a practical advance over wartime harbor antisubmarineantitorpedo steel nets and rocky churchill barriers | [['textile', 'storm', 'surge', 'barriers', 'sited', 'at', 'multiple', 'locations', 'are', 'literally', 'extensions', 'of', 'the', 'city', 'world', 'famous', 'urban', 'fabric', 'another', 'manifestation', 'of', 'the', 'dominance', 'of', 'the', 'city', 'over', 'local', 'nature', 'textile', 'storm', 'surge', 'barriers', 'tssb', 'are', 'intended', 'to', 'preserve', 'the', 'city', 'from', 'north', 'atlantic', 'ocean', 'hurricanes', 'that', 'cause', 'sea', 'waves', 'impacting', 'the', 'densely', 'populated', 'and', 'highvalue', 'real', 'estate', 'instigating', 'catastrophic', 'and', 'possibly', 'longterm', 'infrastructure', 'and', 'monetary', 'losses', 'complicating', 'tssb', 'installation', 'macroproject', 'planning', 'is', 'the', 'presence', 'of', 'the', 'hudson', 'and', 'other', 'rivers', 'several', 'small', 'tidal', 'straits', 'future', 'climate', 'change', 'and', 'other', 'factors', 'we', 'conclude', 'that', 'tssb', 'installations', 'made', 'of', 'homogeneous', 'construction', 'materials', 'are', 'worthwhile', 'investigating', 'because', 'they', 'may', 'be', 'less', 'expensive', 'to', 'build', 'and', 'more', 'easily', 'replaced', 'following', 'any', 'failure', 'than', 'concrete', 'and', 'steel', 'storm', 'surge', 'barriers', 'which', 'are', 'also', 'made', 'of', 'homogeneous', 'materials', 'we', 'suppose', 'the', 'best', 'macroproject', 'outcome', 'will', 'develop', 'in', 'the', 'perfect', 'macroengineering', 'planning', 'way', 'and', 'at', 'the', 'optimum', 'timeofneed', 'during', 'the', 'very', 'early', '21st', 'century', 'by', 'among', 'other', 'groups', 'the', 'port', 'authority', 'of', 'new', 'york', 'and', 'new', 'jersey', 'tssb', 'technology', 'is', 'a', 'practical', 'advance', 'over', 'wartime', 'harbor', 'antisubmarineantitorpedo', 'steel', 'nets', 'and', 'rocky', 'churchill', 'barriers']] | [-0.10760156811115199, 0.1579511097138543, -0.04031874638199192, 0.09138167686478982, -0.12417886602426213, -0.11741193106582204, 0.05001102106461486, 0.364289843876447, -0.2281954245652062, -0.325300864912416, 0.16270507092953526, -0.3075000870522562, -0.17141762214769088, 0.2365679144603456, -0.155603859486611, -0.013159597673770654, 0.0910497361430796, -0.05341607038632731, 0.03632570305050179, -0.26607506284183197, 0.23062408153878544, 0.09296287859247608, 0.28426849223918965, 0.0703794817596285, 0.05518676121309809, -0.04153234413236503, -0.03523699023343807, -0.02305868464000114, -0.06728829237001444, 0.11046013286130012, 0.32157272969341866, 0.1389549286194289, 0.311854503207052, -0.5254747930832289, -0.22927104307010457, 0.11381381507809428, 0.07086071876903668, 0.026328961936607293, -0.02872785344532151, -0.30347165080352817, 0.03051072923987234, -0.23563135585972814, -0.1523654899421752, -0.0041466658796787586, 0.04636433971841093, 0.0022031838140849557, -0.19683913038122458, 0.027384759703296707, -7.858450759898175e-05, 0.12840825785031404, -0.06858033276224447, -0.1386969463929635, -0.05750844158375493, 0.15763040517768975, 0.06051283188683625, -0.021440821154820888, 0.20651792988160644, -0.10106087594221418, -0.09654308346376478, 0.3849303197406058, 0.017465436427740785, -0.05260721603306113, 0.19287650761000075, -0.12894870807029113, -0.09429197862442419, 0.1212828000310225, 0.21254104183626024, 0.030022629610887103, -0.1597990615652864, -0.01354399826483971, -0.0038344262572066797, 0.07134803443613646, 0.14270876228309154, -0.03995859170342785, 0.2787538933021446, 0.18021998708878367, 0.1163524896121369, 0.07092057631362568, -0.095382671099467, -0.12949645087112682, -0.21838356279493001, -0.15229867324460128, -0.09771040547127416, 0.01562823550673304, -0.06503216587029434, -0.17601367568336224, 0.341521155987201, 0.14264181119666158, 0.09800309666872516, -0.021587574876241057, 0.26095743772508523, -0.027766383332353862, 0.105255607075498, 0.13007730772785311, 0.18636282214096614, 0.01252795488747594, 0.19590737490408164, -0.11095769322799662, 0.16002613395851636, -0.009178634324868384] |
710.0196 | Faddeev calculation of pentaquark $\Theta^+$ in the Nambu-Jona-Lasinio
model-based diquark picture | A Bethe-Salpeter-Faddeev (BSF) calculation is performed for the pentaquark
$\Theta^+$ in the diquark picture of Jaffe and Wilczek in which $\Theta^+$ is a
diquark-diquark-${\bar s}$ three-body system. Nambu-Jona-Lasinio (NJL) model is
used to calculate the lowest order diagrams in the two-body scatterings of
${\bar s}D$ and $D D$. With the use of coupling constants determined from the
meson sector, we find that ${\bar s}D$ interaction is attractive in s-wave
while $DD$ interaction is repulsive in p-wave. With only the lowest three-body
channel considered, we do not find a bound $ \frac 12^+$ pentaquark state.
Instead, a bound pentaquark $\Theta^+$ with $ \frac 12^-$ is obtained with a
unphysically strong vector mesonic coupling constants.
| hep-ph hep-ex nucl-th | a bethesalpeterfaddeev bsf calculation is performed for the pentaquark theta in the diquark picture of jaffe and wilczek in which theta is a diquarkdiquarkbar s threebody system nambujonalasinio njl model is used to calculate the lowest order diagrams in the twobody scatterings of bar sd and d d with the use of coupling constants determined from the meson sector we find that bar sd interaction is attractive in swave while dd interaction is repulsive in pwave with only the lowest threebody channel considered we do not find a bound frac 12 pentaquark state instead a bound pentaquark theta with frac 12 is obtained with a unphysically strong vector mesonic coupling constants | [['a', 'bethesalpeterfaddeev', 'bsf', 'calculation', 'is', 'performed', 'for', 'the', 'pentaquark', 'theta', 'in', 'the', 'diquark', 'picture', 'of', 'jaffe', 'and', 'wilczek', 'in', 'which', 'theta', 'is', 'a', 'diquarkdiquarkbar', 's', 'threebody', 'system', 'nambujonalasinio', 'njl', 'model', 'is', 'used', 'to', 'calculate', 'the', 'lowest', 'order', 'diagrams', 'in', 'the', 'twobody', 'scatterings', 'of', 'bar', 'sd', 'and', 'd', 'd', 'with', 'the', 'use', 'of', 'coupling', 'constants', 'determined', 'from', 'the', 'meson', 'sector', 'we', 'find', 'that', 'bar', 'sd', 'interaction', 'is', 'attractive', 'in', 'swave', 'while', 'dd', 'interaction', 'is', 'repulsive', 'in', 'pwave', 'with', 'only', 'the', 'lowest', 'threebody', 'channel', 'considered', 'we', 'do', 'not', 'find', 'a', 'bound', 'frac', '12', 'pentaquark', 'state', 'instead', 'a', 'bound', 'pentaquark', 'theta', 'with', 'frac', '12', 'is', 'obtained', 'with', 'a', 'unphysically', 'strong', 'vector', 'mesonic', 'coupling', 'constants']] | [-0.19650070898132313, 0.20817775002022812, -0.08047791587513521, 0.13291300463045888, -0.03735378412358941, -0.23097334418941393, 0.09253324208986186, 0.3066972045210797, -0.15929566578375637, -0.21452852917852205, -0.06799487596262382, -0.32395838385601655, -0.06602107859088467, 0.010274476900380617, 0.14603886561929633, 0.05072830676383108, 0.02244645730996026, 0.08376206428350863, -0.09122940714881166, -0.21503640400083446, 0.31926428541592367, -0.06842889500901513, 0.13216285103368103, 0.1582000052263755, -0.01575602572240414, 0.02624388910838565, 0.06490792147815228, -0.11033949502444731, -0.17303512061107956, 0.03145364407928438, 0.17649187482658502, 0.016316220262557815, 0.1197531268325284, -0.33073187363120393, -0.1378829365066432, 0.10445865218467805, 0.2174210648453974, 0.13396164759194668, 0.03818728779058118, -0.3181583591130212, 0.07581396769612618, -0.22896180759876147, -0.16728729789717756, -0.09332140756625716, 0.0914851294642468, -0.04958881654855667, -0.3669423009909758, 0.11997535242058269, -0.0016953202686486168, 0.005304532202490426, -0.06993789317240136, -0.24841940980041485, -0.038159027300484545, -0.008898301413197309, 0.05956798239179605, 0.18596872684349297, 0.07700747625321286, -0.1885971977341271, -0.09699158122711772, 0.39934862921134046, -0.11782176371176786, -0.2130945912151653, 0.12443879964908824, -0.15501580895736403, -0.09903799872759969, 0.11679959052814803, 0.11665794510317437, 0.07051808313560595, -0.1412454551478865, 0.16686475187125657, -0.059938460592727325, 0.21687190949814308, 0.08704742051045829, 0.03163634068887988, 0.14489129904514486, 0.14599620841375185, -0.030382283140879568, 0.1032050744792737, -0.0788919769586363, -0.1352361679758552, -0.32764382320328045, -0.08050303372721093, -0.16908973530618424, 0.05258531725995879, -0.05276330320325834, -0.10488226067343163, 0.30580352196777494, 0.03139677572217898, 0.23223232457477283, 0.00952224634318621, 0.246953396724725, 0.09127915947091415, 0.08749328594048157, 0.09509935020682735, 0.32496681870730304, 0.19206944075327606, 0.05022777935891592, -0.32205201476094647, 0.01353218769355583, 0.09537401771036173] |
710.0197 | The Watch Paradox: Solution of the Problem | The article presents the detailed analysis of the watch paradox. It is shown
that it arose because of unjustified, as it turned out, identification of watch
readings at the moment of its return with the time read by it.
| physics.gen-ph physics.class-ph | the article presents the detailed analysis of the watch paradox it is shown that it arose because of unjustified as it turned out identification of watch readings at the moment of its return with the time read by it | [['the', 'article', 'presents', 'the', 'detailed', 'analysis', 'of', 'the', 'watch', 'paradox', 'it', 'is', 'shown', 'that', 'it', 'arose', 'because', 'of', 'unjustified', 'as', 'it', 'turned', 'out', 'identification', 'of', 'watch', 'readings', 'at', 'the', 'moment', 'of', 'its', 'return', 'with', 'the', 'time', 'read', 'by', 'it']] | [-0.06507828512575287, 0.04755090998533445, -0.15049286558627126, 0.07088599393729311, -0.09485821151294005, -0.14214668827704513, 0.1084006982571923, 0.3140794543358378, -0.2708141183814941, -0.3430485231563067, 0.1717971277435143, -0.33080057280424696, -0.14175917628483894, 0.19252259124261448, -0.06549807212864742, -0.030214599705337044, 0.10032828943206905, 0.11004147621301505, 0.008415560336568607, -0.3045644866159329, 0.24911139346659184, 0.16219729089584106, 0.27294082128299546, 0.05967715559288477, 0.16088791659627205, 0.028727443876843423, -0.12310608101483339, -0.013103815488135204, -0.04570066451952488, 0.04106867234580792, 0.2335357448229423, 0.1857185744895385, 0.31307861056083286, -0.40370322845112055, -0.12289622239768505, 0.061507293787331156, 0.0831021193940288, 0.05888204075969183, -0.020216549889972575, -0.3055595145919002, 0.0398560840732012, -0.1367222879273005, -0.1426715780980885, -0.10195621943626648, 0.07242344139525905, -0.025442863910053022, -0.12624859091085502, 0.03910596002466404, 0.13122793525839463, 0.04188483750495391, 0.028790839419413645, -0.05599869821125116, -0.001580984033166598, 0.15973817908133453, 0.1847599542950495, 0.04602880514441775, 0.12529516910226682, -0.06841600896456303, -0.04936822610071454, 0.42097359628249437, 0.026395115810327042, -0.15325387162216103, 0.1535299765244604, -0.14481359293970925, -0.10604184347754106, 0.13810865567901578, 0.03391475998498022, 0.113728178330721, -0.16553905630149904, 0.0198936746097528, -0.06180969284226497, 0.18945576236225092, 0.08639040866341346, -0.023441271104205113, 0.2748404138554365, 0.17910639330362663, 0.06418024342602645, 0.12879722324223855, -0.08134377208084632, -0.08722443675670104, -0.298147945640943, -0.1656984242443473, -0.20815378905106813, 0.11043605910769354, 0.0697597228617479, -0.15358480209565292, 0.3678987058691489, 0.23628892985960612, 0.15020586753216308, -0.021698518632314145, 0.2878330308848467, 0.10957300616129755, 0.08918963304649179, 0.014819712652705418, 0.25053961684879583, 0.0712455202622387, 0.21023492987912434, -0.22692287131809655, 0.10717693424950807, 0.020561057286193736] |
710.0198 | Z4-Linear Perfect Codes | For every $n = 2^k > 8$ there exist exactly $[(k+1)/2]$ mutually
nonequivalent $Z_4$-linear extended perfect codes with distance 4. All these
codes have different ranks.
| cs.IT math.IT | for every n 2k 8 there exist exactly k12 mutually nonequivalent z_4linear extended perfect codes with distance 4 all these codes have different ranks | [['for', 'every', 'n', '2k', '8', 'there', 'exist', 'exactly', 'k12', 'mutually', 'nonequivalent', 'z_4linear', 'extended', 'perfect', 'codes', 'with', 'distance', '4', 'all', 'these', 'codes', 'have', 'different', 'ranks']] | [-0.2502409142131607, 0.22259253977487484, 0.057494928051407136, 0.08021265419665724, 0.12495862737220402, -0.3733641370587672, -0.07532215607352555, 0.4212989766771595, -0.22167287359479815, -0.32021599387129146, 0.06578916901101668, -0.3900121981278062, -0.11811348801711574, 0.1169455457420554, 0.04374100686982274, 0.02925102412700653, 0.03357272897846997, 0.10575728696615745, -0.12349593625791992, -0.46995472395792603, 0.2721669132588431, -0.06308703062434991, 0.20081008380414764, -0.09196423929339896, 0.08443151414394379, 0.05931364201630155, 0.04745963650445143, 0.04626991677408417, -0.21922502596862614, 0.046266778042384736, 0.3829262889921665, 0.2047324673815941, 0.1460993200695763, -0.3313975058784611, -0.1424804414079214, 0.21096693984388062, 0.12641971899817386, 0.10999940454591221, 0.008653535507619381, -0.05875441917063048, 0.14601656889620548, -0.16100005145805577, -0.06095163070131093, 0.023149435369608302, 0.1105339731342004, -0.03530713620906075, -0.1973884599089312, -0.040295786185500525, 0.08547826972790062, 0.16038518298106888, 0.0032586962527905903, -0.33082965125019353, -0.01641246728831902, 0.20414965670594634, -0.09259726180850218, 0.07586495112627745, -0.09272103125598126, 0.08990330381008486, -0.2040876845518748, 0.2932842105316619, 0.07729768374216898, -0.23395125226428112, 0.2150583384403338, -0.13394564627863778, -0.1729805946427708, 0.21427037633839063, 0.012273835483938456, 0.09155095391906798, -0.0646193043794483, 0.13992948224768043, -0.16360513182977834, 0.1540277279758205, 0.27672226862826693, 0.08443177409935743, 0.1930910065614929, -0.0863335501247396, 0.09326577420385244, 0.0483952024175475, 0.04932793873983125, 0.030476535107785214, -0.30514249865276116, -0.07526684555826553, -0.1097326658248979, 0.07967411645222455, -0.22269590666595226, -0.16676880904318145, 0.29618210706394166, 0.07781942636938766, 0.10924146491258095, 0.09621722002824147, 0.11704292848783855, -0.0569114638492465, 0.12950588073969507, 0.294700265978463, 0.13105873375510177, 0.1311232753796503, -0.12620457308366895, -0.05056625321109701, -0.06785359373316169, 0.06920104861880343] |
710.0199 | Z4-linear Hadamard and extended perfect codes | If $N=2^k > 8$ then there exist exactly $[(k-1)/2]$ pairwise nonequivalent
$Z_4$-linear Hadamard $(N,2N,N/2)$-codes and $[(k+1)/2]$ pairwise nonequivalent
$Z_4$-linear extended perfect $(N,2^N/2N,4)$-codes. A recurrent construction of
$Z_4$-linear Hadamard codes is given.
| cs.IT math.IT | if n2k 8 then there exist exactly k12 pairwise nonequivalent z_4linear hadamard n2nn2codes and k12 pairwise nonequivalent z_4linear extended perfect n2n2n4codes a recurrent construction of z_4linear hadamard codes is given | [['if', 'n2k', '8', 'then', 'there', 'exist', 'exactly', 'k12', 'pairwise', 'nonequivalent', 'z_4linear', 'hadamard', 'n2nn2codes', 'and', 'k12', 'pairwise', 'nonequivalent', 'z_4linear', 'extended', 'perfect', 'n2n2n4codes', 'a', 'recurrent', 'construction', 'of', 'z_4linear', 'hadamard', 'codes', 'is', 'given']] | [-0.2239571599555867, 0.21405956228928907, 0.058186070793973546, 0.13551665628412074, 0.0244054039940238, -0.34257755253929645, -0.03609252887378846, 0.400339363142848, -0.243208077935768, -0.19216732870388245, 0.031613505844558985, -0.3519629221409559, -0.25642296409932896, 0.08770038899300354, -0.04856900288723409, -0.009708944092770773, 0.10735685072307076, 0.09744329999999277, -0.16635285632219166, -0.43108055727290256, 0.23497896086025452, -0.09721448684909514, 0.13930482144600578, -0.05853496591693589, 0.16801000413085734, 0.07146513116146837, 0.018527225724288394, 0.00226400832512549, -0.18883467871429666, 0.03365089647871043, 0.35404684727213215, 0.22318300737866334, 0.19436564476096205, -0.34293901923644754, -0.07197966691767631, 0.22781492390536837, 0.11738062054584068, 0.09625920376856811, 0.03493490133301488, -0.17938429413230292, 0.08327586980470057, -0.14665520623592393, -0.025799536811453954, -0.008489064373342054, 0.1277401202740813, -0.05689243935713811, -0.27079445388101575, 0.015734596976212094, 0.16831499497805322, 0.10382527139570032, 0.01443332014605403, -0.20059884963224509, -0.05883299489505589, 0.1089967449744498, -0.1141513478692754, 0.10973673606557506, -0.07888176558273179, 0.07830451076318111, -0.1504813406915803, 0.2719380367946412, 0.03468552135745995, -0.28930340747215916, 0.15594590485229023, -0.0820319382224365, -0.18203715567610093, 0.1393005755463881, -0.008040604946602668, 0.08532546207840953, -0.12103997540128018, 0.18322249195729715, -0.17001146796558583, 0.132417277998424, 0.2715595693859671, 0.028112868013392602, 0.1408724707019116, -0.04057070553036673, 0.10994317946356855, 0.10828620940446854, 0.09303495560639671, -0.06737298318850142, -0.32282979946051327, -0.12314205065091041, -0.20938421745917626, 0.12611192338434712, -0.13909160011462518, -0.2701697409751692, 0.33995699167384635, 0.00536563985848001, 0.07727746515800911, 0.06987062259577215, 0.11549274405531053, -0.048125627384121926, 0.065979218675888, 0.22998367201736464, 0.07086042798722961, 0.18595918104983866, -0.17435438924336008, -0.051202227725298144, -0.09229940995906613, 0.16062381544283458] |
710.02 | Intrinsic dissipation in nanomechanical resonators due to phonon
tunneling | State of the art nanomechanical resonators present quality factors Q ~ 10^3 -
10^5, which are much lower than those that can be naively extrapolated from the
behavior of micromechanical resonators. We analyze the dissipation mechanism
that arises in nanomechanical beam-structures due to the tunneling of
mesoscopic phonons between the beam and its supports (known as clamping
losses). We derive the environmental force spectral density that determines the
quantum Brownian motion of a given resonance. Our treatment is valid for low
frequencies and provides the leading contribution in the aspect ratio. This
yields fundamental limits for the Q-values which are described by simple
scaling laws and are relevant for state of the art experimental structures. In
this context, for resonant frequencies in the 0.1-1GHz range, while this
dissipation mechanism can limit flexural resonators it is found to be
negligible for torsional ones. In the case of structureless 3D supports the
corresponding environmental spectral densities are Ohmic for flexural
resonators and super-Ohmic for torsional ones, while for 2D slab supports they
yield 1/f noise. Furthermore analogous results are established for the case of
suspended semiconducting single-walled carbon nanotubes. Finally, we provide a
general expression for the spectral density that allows to extend our treatment
to other geometries and illustrate its use by applying it to a microtoroid. Our
analysis is relevant for applications in high precision measurements and for
the prospects of probing quantum effects in a macroscopic mechanical degree of
freedom.
| cond-mat.mes-hall quant-ph | state of the art nanomechanical resonators present quality factors q 103 105 which are much lower than those that can be naively extrapolated from the behavior of micromechanical resonators we analyze the dissipation mechanism that arises in nanomechanical beamstructures due to the tunneling of mesoscopic phonons between the beam and its supports known as clamping losses we derive the environmental force spectral density that determines the quantum brownian motion of a given resonance our treatment is valid for low frequencies and provides the leading contribution in the aspect ratio this yields fundamental limits for the qvalues which are described by simple scaling laws and are relevant for state of the art experimental structures in this context for resonant frequencies in the 011ghz range while this dissipation mechanism can limit flexural resonators it is found to be negligible for torsional ones in the case of structureless 3d supports the corresponding environmental spectral densities are ohmic for flexural resonators and superohmic for torsional ones while for 2d slab supports they yield 1f noise furthermore analogous results are established for the case of suspended semiconducting singlewalled carbon nanotubes finally we provide a general expression for the spectral density that allows to extend our treatment to other geometries and illustrate its use by applying it to a microtoroid our analysis is relevant for applications in high precision measurements and for the prospects of probing quantum effects in a macroscopic mechanical degree of freedom | [['state', 'of', 'the', 'art', 'nanomechanical', 'resonators', 'present', 'quality', 'factors', 'q', '103', '105', 'which', 'are', 'much', 'lower', 'than', 'those', 'that', 'can', 'be', 'naively', 'extrapolated', 'from', 'the', 'behavior', 'of', 'micromechanical', 'resonators', 'we', 'analyze', 'the', 'dissipation', 'mechanism', 'that', 'arises', 'in', 'nanomechanical', 'beamstructures', 'due', 'to', 'the', 'tunneling', 'of', 'mesoscopic', 'phonons', 'between', 'the', 'beam', 'and', 'its', 'supports', 'known', 'as', 'clamping', 'losses', 'we', 'derive', 'the', 'environmental', 'force', 'spectral', 'density', 'that', 'determines', 'the', 'quantum', 'brownian', 'motion', 'of', 'a', 'given', 'resonance', 'our', 'treatment', 'is', 'valid', 'for', 'low', 'frequencies', 'and', 'provides', 'the', 'leading', 'contribution', 'in', 'the', 'aspect', 'ratio', 'this', 'yields', 'fundamental', 'limits', 'for', 'the', 'qvalues', 'which', 'are', 'described', 'by', 'simple', 'scaling', 'laws', 'and', 'are', 'relevant', 'for', 'state', 'of', 'the', 'art', 'experimental', 'structures', 'in', 'this', 'context', 'for', 'resonant', 'frequencies', 'in', 'the', '011ghz', 'range', 'while', 'this', 'dissipation', 'mechanism', 'can', 'limit', 'flexural', 'resonators', 'it', 'is', 'found', 'to', 'be', 'negligible', 'for', 'torsional', 'ones', 'in', 'the', 'case', 'of', 'structureless', '3d', 'supports', 'the', 'corresponding', 'environmental', 'spectral', 'densities', 'are', 'ohmic', 'for', 'flexural', 'resonators', 'and', 'superohmic', 'for', 'torsional', 'ones', 'while', 'for', '2d', 'slab', 'supports', 'they', 'yield', '1f', 'noise', 'furthermore', 'analogous', 'results', 'are', 'established', 'for', 'the', 'case', 'of', 'suspended', 'semiconducting', 'singlewalled', 'carbon', 'nanotubes', 'finally', 'we', 'provide', 'a', 'general', 'expression', 'for', 'the', 'spectral', 'density', 'that', 'allows', 'to', 'extend', 'our', 'treatment', 'to', 'other', 'geometries', 'and', 'illustrate', 'its', 'use', 'by', 'applying', 'it', 'to', 'a', 'microtoroid', 'our', 'analysis', 'is', 'relevant', 'for', 'applications', 'in', 'high', 'precision', 'measurements', 'and', 'for', 'the', 'prospects', 'of', 'probing', 'quantum', 'effects', 'in', 'a', 'macroscopic', 'mechanical', 'degree', 'of', 'freedom']] | [-0.12177737761988355, 0.16873057454162305, -0.04049632676291566, 0.024558362818248414, -0.035811754382698784, -0.13543807680989745, 0.04420474893708207, 0.3828276689341174, -0.20606612276486297, -0.2919781881498511, 0.04563577147249824, -0.26525209332185845, -0.12481772733109567, 0.2718632375057158, -0.03986969032474177, 0.06088076955452169, 0.048933949950249384, -0.01247890048475154, -0.014360076605876758, -0.15101317997102306, 0.26775067599042307, 0.06367894525262469, 0.32888732945059235, 0.06316789584077172, 0.058860450169613845, -0.030506292705813162, 0.04436466150881746, 0.008434556361743669, -0.145607570116138, 0.11793849399148286, 0.26054662232481746, 0.009388732120693358, 0.22267347509395094, -0.4381408021246959, -0.23235065892991072, 0.03775336102234742, 0.1451878081059146, 0.15669064682256037, -0.01448337741211874, -0.2357195560242745, 0.0699360085934212, -0.1471435190311693, -0.13036402956536433, -0.1207839290961183, 0.02264996317317434, 0.0024279410246453143, -0.26454750987217773, 0.12320670675592427, 0.06938837678220815, 0.024464242473953967, -0.0750912316681381, -0.11939001336000184, 0.018052885602601657, 0.12072757929995782, 0.020154386398260667, -0.038906772059038724, 0.20367359830349496, -0.15222517393611937, -0.08807338947500987, 0.401323985542713, -0.06045262362639261, -0.19252633986373743, 0.2074436458684347, -0.15057162580449715, -0.0694763566827095, 0.13056501270692308, 0.1389680060239721, 0.07951085024579863, -0.14000096347945337, 0.04827728547821561, 0.025735844464045223, 0.1563845967150879, 0.09341962989773366, 0.0987137812587633, 0.20746474489884034, 0.1864277870484671, 0.03832689651193781, 0.1640398617581374, -0.08139056858964233, -0.04531664359442229, -0.2805759562061557, -0.14491074051873026, -0.1708996107886282, 0.08185873243551041, -0.09330918773272437, -0.1478437734168526, 0.38606245102132924, 0.15135467300149277, 0.18432160587942048, 0.044397654719670394, 0.29543282224439116, 0.14931341484292188, 0.051490793487976624, 0.022358394290396957, 0.31777063012712553, 0.1789824992186441, 0.06641329056288622, -0.2567435694781804, 0.015804425247390813, -0.017817305657130425] |
710.0201 | A note on free quantum groups | We study the free complexification operation for compact quantum groups,
$G\to G^c$. We prove that, with suitable definitions, this induces a one-to-one
correspondence between free orthogonal quantum groups of infinite level, and
free unitary quantum groups satisfying $G=G^c$.
| math.QA | we study the free complexification operation for compact quantum groups gto gc we prove that with suitable definitions this induces a onetoone correspondence between free orthogonal quantum groups of infinite level and free unitary quantum groups satisfying ggc | [['we', 'study', 'the', 'free', 'complexification', 'operation', 'for', 'compact', 'quantum', 'groups', 'gto', 'gc', 'we', 'prove', 'that', 'with', 'suitable', 'definitions', 'this', 'induces', 'a', 'onetoone', 'correspondence', 'between', 'free', 'orthogonal', 'quantum', 'groups', 'of', 'infinite', 'level', 'and', 'free', 'unitary', 'quantum', 'groups', 'satisfying', 'ggc']] | [-0.20577177280364067, 0.2442298025186909, -0.13082432083932585, 0.06033194112579191, -0.08849407761896912, -0.14485482032116698, 0.06382703210692853, 0.43014365964029966, -0.27031744248233736, -0.18366955539309665, -0.004914128760758199, -0.20446742497580617, -0.14725647349596807, 0.21547466678250776, -0.08861224390076179, -0.016066221667355614, 0.11738585563082445, 0.11404678520844563, -0.1723847187700142, -0.2057076466857995, 0.3803096412877111, -0.06333757539610624, 0.2940382112405802, -0.023164046094997934, 0.1594010499600125, 0.08414627618989662, -0.0020768910058234866, -0.057805425242373816, -0.18071226362161197, 0.13715784800680061, 0.3630892485380173, 0.07819164266785313, 0.221556240732561, -0.3639524906481567, -0.15598323300946504, 0.20545438556061862, 0.06161142155332001, 0.0011929601774011787, -0.09701186551491876, -0.3068443858799966, 0.13913304573170057, -0.20695514285838917, -0.1608614151758191, -0.025091746503389196, 0.010824019456968495, -0.036187651524271225, -0.16296588176077134, 0.0489826831035316, 0.09631855359399005, 0.14086063720874095, -0.06218952472370706, 0.01567032631780756, 0.010695781828345437, 0.19322703324111276, -0.07106620092159383, -0.02059640623491233, 0.1254948333248888, -0.0387761928937643, -0.1262506876802562, 0.38484149041438576, -0.0592745684062768, -0.18899422344800673, 0.22130890843752576, -0.1615859636007563, -0.251717795446319, -0.011792671474579134, 0.019491583096647735, 0.06978527147715029, -0.06874760429031755, 0.2511881496496866, -0.09772320366219471, 0.09613295953328672, 0.11798008580348994, 0.06590700520839739, 0.16482724624955536, 0.00880710060071004, 0.15296495225476592, 0.17165391300314745, 0.06252981870631247, -0.12759835723983615, -0.40972625287739856, -0.24260122336349205, -0.08774694996444803, 0.17145277540150441, -0.07288094842768164, -0.19706884681669945, 0.33610202793620136, 0.03695181112638429, 0.11800490670200241, 0.09543954772188475, 0.19838573241998492, 0.12874303191385575, 0.06501346469954833, 0.057747997539608104, 0.029711915805053554, 0.27732174638903845, -0.14386285194440893, -0.20704799223887294, -0.12393314936688464, 0.14973890653958447] |
710.0202 | Stylized Facts Generated Through Cellular Automata Models. Case of
Study: The Game of Life | In the present work, a geometrical method to generate a two dimensional
random walk by means of a bidimensional Cellular Automaton is presented. We
illustrate it by means of Conway's Game of Life with periodical borders, with a
large lattice of 3000 x 3000 cells. The obtained random walk is of character
anomalous, and its projection to a one dimensional random walk is analyzed,
showing that it presents some statistical properties similar to the so-called
stylized facts observed in financial time series. We consider that the
procedure presented here is important not only because of its simplicity, but
also because it could help us to understand and shed light on the stylized
facts formation mechanism.
| physics.comp-ph physics.data-an | in the present work a geometrical method to generate a two dimensional random walk by means of a bidimensional cellular automaton is presented we illustrate it by means of conways game of life with periodical borders with a large lattice of 3000 x 3000 cells the obtained random walk is of character anomalous and its projection to a one dimensional random walk is analyzed showing that it presents some statistical properties similar to the socalled stylized facts observed in financial time series we consider that the procedure presented here is important not only because of its simplicity but also because it could help us to understand and shed light on the stylized facts formation mechanism | [['in', 'the', 'present', 'work', 'a', 'geometrical', 'method', 'to', 'generate', 'a', 'two', 'dimensional', 'random', 'walk', 'by', 'means', 'of', 'a', 'bidimensional', 'cellular', 'automaton', 'is', 'presented', 'we', 'illustrate', 'it', 'by', 'means', 'of', 'conways', 'game', 'of', 'life', 'with', 'periodical', 'borders', 'with', 'a', 'large', 'lattice', 'of', '3000', 'x', '3000', 'cells', 'the', 'obtained', 'random', 'walk', 'is', 'of', 'character', 'anomalous', 'and', 'its', 'projection', 'to', 'a', 'one', 'dimensional', 'random', 'walk', 'is', 'analyzed', 'showing', 'that', 'it', 'presents', 'some', 'statistical', 'properties', 'similar', 'to', 'the', 'socalled', 'stylized', 'facts', 'observed', 'in', 'financial', 'time', 'series', 'we', 'consider', 'that', 'the', 'procedure', 'presented', 'here', 'is', 'important', 'not', 'only', 'because', 'of', 'its', 'simplicity', 'but', 'also', 'because', 'it', 'could', 'help', 'us', 'to', 'understand', 'and', 'shed', 'light', 'on', 'the', 'stylized', 'facts', 'formation', 'mechanism']] | [-0.07684764045204603, 0.1331941792741418, -0.11128275575845138, 0.09596546760395817, -0.10246772482667281, -0.14435760563887332, 0.07389817423511134, 0.4052036975388942, -0.28051105521862274, -0.25003494137655136, 0.12934448152335118, -0.2565661762361465, -0.22149971380181935, 0.1947684090665501, -0.1011005178053418, 0.011127175134606659, 0.04941020062415982, 0.043411379210326985, 0.039063578522156764, -0.28435566467233003, 0.2657322300840979, 0.04030806517592915, 0.2624956629603453, 0.03316622313678912, 0.12210911074248346, -0.024244800153309886, -0.04366604095000936, 0.04539786881119337, -0.09484063038341803, 0.1275018213721721, 0.19965025890294624, 0.0992857716937104, 0.28317552796848444, -0.42993523985471416, -0.21697292886674405, 0.09661340974271297, 0.11005078929921855, 0.08677855159115533, -0.04668325960494416, -0.26136681578405524, 0.08675806218879702, -0.13617914623135458, -0.17263447805915189, -0.08635064205559699, 0.03459049905852779, -0.0019282118179430455, -0.23789407147256578, 0.019859213545746372, 0.07457841798946585, 0.056647630975298256, -0.009401977529911244, -0.06886814184810804, 0.001447471599701954, 0.10995371209295547, 0.045654425805475074, -0.023630458132728287, 0.10071923841276895, -0.07036839764800591, -0.1528488234171401, 0.4358188693938048, -0.01969153539520567, -0.1746222022505801, 0.205346745584646, -0.20378800937500985, -0.14315840953394124, 0.1304165216203293, 0.14359054746227745, 0.07004237060799547, -0.16890167908176132, 0.0358736566460246, -0.0977461527020711, 0.15131456575396915, 0.025887458018310692, 0.020258403828610546, 0.1868732391178365, 0.21981468792680814, 0.019168298485000495, 0.1521825271213184, -0.05684640462834226, -0.13885040573937737, -0.25452744319387105, -0.16794519136943248, -0.2097140657958453, 0.07634211702325443, -0.0922088501911671, -0.18873004327811624, 0.43367681263581564, 0.18859416300977538, 0.235355288915984, 0.037574719060617295, 0.2692286022331404, 0.1074218725218721, 0.03518925931547647, 0.03756995970666732, 0.1493836311514631, 0.12537684147853567, 0.11822487628087401, -0.17495777179365574, 0.08261756883002817, 0.09209447422105332] |
710.0203 | Double Parton Scattering in Associate Higgs Boson Production with Bottom
Quarks at Hadron Colliders | Higgs boson production in association with bottom quarks, is one of the most
important discovery channels for Higgs particles in the Standard Model (SM) and
its supersymmetric extension at the LHC pp collider . The theoretical
prediction of the corresponding cross section has been improved by including
the complete next-to-leading order QCD corrections. We review the status
results for the leading order to the partonic process and present calculations
for the integrated cross-section in both single and double parton scattering
collisions.
| hep-ph | higgs boson production in association with bottom quarks is one of the most important discovery channels for higgs particles in the standard model sm and its supersymmetric extension at the lhc pp collider the theoretical prediction of the corresponding cross section has been improved by including the complete nexttoleading order qcd corrections we review the status results for the leading order to the partonic process and present calculations for the integrated crosssection in both single and double parton scattering collisions | [['higgs', 'boson', 'production', 'in', 'association', 'with', 'bottom', 'quarks', 'is', 'one', 'of', 'the', 'most', 'important', 'discovery', 'channels', 'for', 'higgs', 'particles', 'in', 'the', 'standard', 'model', 'sm', 'and', 'its', 'supersymmetric', 'extension', 'at', 'the', 'lhc', 'pp', 'collider', 'the', 'theoretical', 'prediction', 'of', 'the', 'corresponding', 'cross', 'section', 'has', 'been', 'improved', 'by', 'including', 'the', 'complete', 'nexttoleading', 'order', 'qcd', 'corrections', 'we', 'review', 'the', 'status', 'results', 'for', 'the', 'leading', 'order', 'to', 'the', 'partonic', 'process', 'and', 'present', 'calculations', 'for', 'the', 'integrated', 'crosssection', 'in', 'both', 'single', 'and', 'double', 'parton', 'scattering', 'collisions']] | [-0.01939909730281215, 0.17559895053709623, -0.09709531988191884, 0.13388306696372182, -0.03266971730918158, -0.10386104272329248, -0.006782567701884545, 0.31918709036835935, -0.17735093822266207, -0.24104503793641924, 0.012120864655298647, -0.3742165308445692, 0.03359020246425644, 0.10812379097915255, 0.0930849014344858, 0.1786397902709723, 0.12103481739177369, 0.03508301637484692, -0.023821382480673493, -0.28980375620449195, 0.2844011705776211, 0.08505144309601746, 0.20049006549234036, 0.19584946407703682, 0.053257959411712366, 0.10691684820922091, -0.0692169998153986, -0.10701845102012157, -0.12597529889899306, 0.12928229120188917, 0.22448504103231243, 0.008124849435989744, 0.09194195946329273, -0.36144439844647425, -0.11923181135207414, 0.10629154560738244, 0.15827729245938826, 0.11177544940146618, -0.07402876281412318, -0.2653078006929718, 0.13550357758649625, -0.27717461764113976, -0.10828189883031883, -0.0408522726764204, -0.029140780289890245, -0.11082031764090061, -0.32705560319591315, 0.06471817537094467, -0.05871638169628568, 0.012399773781999102, 0.03714144194236724, -0.2103066921205027, -0.07704291348927654, 0.006637023948132992, 0.12168152961639862, 0.04900635376143327, 0.15643814195645972, -0.25194799933960893, -0.28303987986873835, 0.4280129746883176, -0.07394798505411018, -0.1441751207166817, 0.1644379592849873, -0.19798817515256814, -0.14000428585695773, 0.16917841848917306, 0.2808323631994426, 0.056026459162967515, -0.212898833520012, 0.18999395348728285, 0.026060544239589943, 0.12185992571467068, 0.04660903650801629, 0.05492718606692506, 0.20783705449430273, 0.2707142514293082, -0.042653142369817945, 0.05049736000655684, -0.10985680960584432, -0.14098795367171987, -0.4861970544792712, -0.1444021084200358, -0.009734779113205149, -0.002396428052452393, -0.07261287492965493, -0.096147878956981, 0.3908905740710907, 0.13292633849196137, 0.2483462176285684, 0.005313679616665468, 0.3263494718441507, 0.12500830626231618, 0.07410978211446491, 0.04076212534910155, 0.3437542138970457, 0.19487012652971317, 0.14872144918772393, -0.21264277976588347, 0.03434871982899494, 0.09629955856362357] |
710.0204 | Study of constant mode in charmonium correlators at finite temperature | Recent studies on the spectral function of charmonium in lattice QCD suggest
survival of $J/\psi$ state in the deconfinement phase till relatively high
temperature. Based on the studies, different scenarios of $J/\psi$ suppression
are discussed to understand experimental results in the Heavy Ion Collision
experiments. The scenarios require the information on the dissociation
temperatures of $\chi_c$ and $\psi'$ as well as that of $J/\psi$. In order to
investigate these states in finite temperature lattice QCD, we have to consider
an effect of a characteristic constant mode in the correlators. As a result of
the study on the constant mode, we find that most drastic change in charmonium
correlators for $\chi_c$ states just above the deconfinement transition are
caused by the constant mode. It may indicate the survival of $\chi_c$ states
after the deconfinement transition until, at least, $1.4T_c$.
| hep-lat | recent studies on the spectral function of charmonium in lattice qcd suggest survival of jpsi state in the deconfinement phase till relatively high temperature based on the studies different scenarios of jpsi suppression are discussed to understand experimental results in the heavy ion collision experiments the scenarios require the information on the dissociation temperatures of chi_c and psi as well as that of jpsi in order to investigate these states in finite temperature lattice qcd we have to consider an effect of a characteristic constant mode in the correlators as a result of the study on the constant mode we find that most drastic change in charmonium correlators for chi_c states just above the deconfinement transition are caused by the constant mode it may indicate the survival of chi_c states after the deconfinement transition until at least 14t_c | [['recent', 'studies', 'on', 'the', 'spectral', 'function', 'of', 'charmonium', 'in', 'lattice', 'qcd', 'suggest', 'survival', 'of', 'jpsi', 'state', 'in', 'the', 'deconfinement', 'phase', 'till', 'relatively', 'high', 'temperature', 'based', 'on', 'the', 'studies', 'different', 'scenarios', 'of', 'jpsi', 'suppression', 'are', 'discussed', 'to', 'understand', 'experimental', 'results', 'in', 'the', 'heavy', 'ion', 'collision', 'experiments', 'the', 'scenarios', 'require', 'the', 'information', 'on', 'the', 'dissociation', 'temperatures', 'of', 'chi_c', 'and', 'psi', 'as', 'well', 'as', 'that', 'of', 'jpsi', 'in', 'order', 'to', 'investigate', 'these', 'states', 'in', 'finite', 'temperature', 'lattice', 'qcd', 'we', 'have', 'to', 'consider', 'an', 'effect', 'of', 'a', 'characteristic', 'constant', 'mode', 'in', 'the', 'correlators', 'as', 'a', 'result', 'of', 'the', 'study', 'on', 'the', 'constant', 'mode', 'we', 'find', 'that', 'most', 'drastic', 'change', 'in', 'charmonium', 'correlators', 'for', 'chi_c', 'states', 'just', 'above', 'the', 'deconfinement', 'transition', 'are', 'caused', 'by', 'the', 'constant', 'mode', 'it', 'may', 'indicate', 'the', 'survival', 'of', 'chi_c', 'states', 'after', 'the', 'deconfinement', 'transition', 'until', 'at', 'least', '14t_c']] | [-0.09051412143204632, 0.26368270832735224, -0.1136658155001646, 0.06542923655428425, 0.016876389400736578, -0.07878110781851885, 0.0816975707134259, 0.36363284685986413, -0.1681209719981121, -0.2089469465629562, 0.060533201069726296, -0.32830535603579186, -0.035097467723181064, 0.1342185610513864, 0.054761692402425455, 0.10904617977170003, 0.05088788555746061, 0.07662110078356067, -0.07883432451163189, -0.20935350927638996, 0.33632458986687486, 0.02708284311887363, 0.26976741866573045, 0.21250506056864085, 0.0009905061569820712, -0.012549640951624167, 0.023392051559800377, -0.03599708374130769, -0.1583922720431777, -0.04707843481615334, 0.2746812571548735, 0.0639648533736666, 0.19629295032633387, -0.388305288726005, -0.2233065108505442, 0.09099938130964512, 0.13798756307611862, 0.12529710750432982, -0.03529835805850293, -0.26893283584681543, 0.09335950234241824, -0.1481341999226614, -0.10511414975643266, -0.0959217974619157, 0.0009535837419115115, -0.03485924790552615, -0.26602081685289874, 0.11727009896202471, -0.019805081300876118, 0.06251927990250397, -0.06359923688148189, -0.19995343296424203, -0.030951551696542057, 0.047051254437183554, 0.10565680695572814, 0.09461213505668295, 0.17018574657782481, -0.161502805892783, -0.16923569037538508, 0.39213945453419635, -0.08205624731456646, -0.0707951763347871, 0.17848667862615886, -0.22469477777612273, -0.137610129347287, 0.137152528528637, 0.19427758954006477, 0.11326169210445622, -0.0807371226247346, 0.01977064133836024, 0.013215199590363689, 0.1479407419123743, 0.07352563300662661, 0.08870350205056045, 0.20046964486844945, 0.17153897696255666, -0.0010717351283149226, 0.12667887152412627, -0.04979236652413248, -0.1313318175304195, -0.34651896913630376, -0.12625998809285785, -0.17061324099241587, 0.03720472814461243, -0.07161636296581676, -0.13617034669817035, 0.383099646779938, 0.1062115734768694, 0.2960662826106114, -0.023789280877057194, 0.2658524949549009, 0.1242643585943185, 0.04871250024450052, 0.05308737688650633, 0.2970470626420085, 0.1627583226317243, 0.15913010261736918, -0.32459351187571883, 0.05898563973892453, 0.030372448108644912] |
710.0205 | A GEM TPC End-Panel Pre-Prototype | A GEM TPC end panel pre-prototype was constructed for a large LC-TPC
prototype to test its basic design philosophy and some of its engineering
details. Its interim test results are presented.
| physics.ins-det | a gem tpc end panel preprototype was constructed for a large lctpc prototype to test its basic design philosophy and some of its engineering details its interim test results are presented | [['a', 'gem', 'tpc', 'end', 'panel', 'preprototype', 'was', 'constructed', 'for', 'a', 'large', 'lctpc', 'prototype', 'to', 'test', 'its', 'basic', 'design', 'philosophy', 'and', 'some', 'of', 'its', 'engineering', 'details', 'its', 'interim', 'test', 'results', 'are', 'presented']] | [-0.05643709661859658, 0.015462108654901385, -0.10521808765347927, 0.03233415735585074, -0.1242691010439528, -0.21071879555764159, -0.02890665796134741, 0.3612209194069428, -0.18896282178860518, -0.2923209870294217, 0.19199643067775235, -0.24111434643066698, -0.11134527514091573, 0.24841264214727185, -0.09128837720040352, 0.13424774736443895, 0.10635319250004907, -0.01818213726003324, -0.12002331405998237, -0.3105727324202176, 0.1704388048740164, 0.19471841050131666, 0.29829969352501773, 0.013365012353226062, 0.15805416983822662, -0.050804882520629514, -0.10142131005564044, -0.022602825425565243, -0.11042320566071619, 0.07257140674177677, 0.2729437615001394, 0.21647996240625939, 0.3015723321136207, -0.38618278623588626, -0.07007377207159035, -0.06358755824546661, -0.009504010810727073, 0.009425739700447829, -0.1086284086528805, -0.2754834839293072, 0.11758319192355679, -0.2423126851208508, -0.20244962325499904, -0.01721684625672717, 0.003228116149623548, 0.048535525001581495, -0.22392115240255672, -0.11412511747931281, 0.034942188390320345, 0.06107754755254474, -0.02858744915800109, -0.18787309546924888, 0.06168333465053189, 0.10397778053377424, -0.024575312862232808, 0.015810532660614097, 0.19342494581735903, -0.10345956103335466, -0.10248113970362371, 0.3445936472665879, 0.028151934635975668, -0.14356891483428977, 0.1881100255094709, -0.11911226409457383, -0.13079263316467404, 0.04019057561433123, 0.2086682943026385, 0.05382148825353192, -0.2220940174414746, 0.09944308930519788, -0.002868333951600136, 0.16762996591146914, 0.02998458483676997, -0.05878679070531601, 0.170820223047368, 0.2966190211835407, -0.02724725215305244, 0.1471350932448742, -0.12367055571127322, -0.03551253342940923, -0.3955012509419072, -0.19291532943926512, -0.15378337357598806, -0.03373725863263732, -0.014251040895150283, -0.1655819024458798, 0.4713760936452496, 0.1203233418655732, 0.0858794117887174, -0.019603693512298407, 0.26896639895294944, -0.015586140715787488, 0.054853461021857876, -0.0047248316207720385, 0.2280579541796713, 0.1121345801699546, 0.17972932761955646, -0.15598917407201482, 0.05925756601256228, 0.009974172459014] |
710.0206 | A Survey for Massive Giant Planets in Debris Disks with Evacuated Inner
Cavities | The commonality of collisionally replenished debris around main sequence
stars suggests that minor bodies are frequent around Sun-like stars. Whether or
not debris disks in general are accompanied by planets is yet unknown, but
debris disks with large inner cavities - perhaps dynamically cleared - are
considered to be prime candidates for hosting large-separation massive giant
planets. We present here a high-contrast VLT/NACO angular differential imaging
survey for eight such cold debris disks. We investigated the presence of
massive giant planets in the range of orbital radii where the inner edge of the
dust debris is expected. Our observations are sensitive to planets and brown
dwarfs with masses >3 to 7 Jupiter mass, depending on the age and distance of
the target star. Our observations did not identify any planet candidates. We
compare the derived planet mass upper limits to the minimum planet mass
required to dynamically clear the inner disks. While we cannot exclude that
single giant planets are responsible for clearing out the inner debris disks,
our observations constrain the parameter space available for such planets. The
non-detection of massive planets in these evacuated debris disks further
reinforces the notion that the giant planet population is confined to the inner
disk (<15 AU).
| astro-ph | the commonality of collisionally replenished debris around main sequence stars suggests that minor bodies are frequent around sunlike stars whether or not debris disks in general are accompanied by planets is yet unknown but debris disks with large inner cavities perhaps dynamically cleared are considered to be prime candidates for hosting largeseparation massive giant planets we present here a highcontrast vltnaco angular differential imaging survey for eight such cold debris disks we investigated the presence of massive giant planets in the range of orbital radii where the inner edge of the dust debris is expected our observations are sensitive to planets and brown dwarfs with masses 3 to 7 jupiter mass depending on the age and distance of the target star our observations did not identify any planet candidates we compare the derived planet mass upper limits to the minimum planet mass required to dynamically clear the inner disks while we cannot exclude that single giant planets are responsible for clearing out the inner debris disks our observations constrain the parameter space available for such planets the nondetection of massive planets in these evacuated debris disks further reinforces the notion that the giant planet population is confined to the inner disk 15 au | [['the', 'commonality', 'of', 'collisionally', 'replenished', 'debris', 'around', 'main', 'sequence', 'stars', 'suggests', 'that', 'minor', 'bodies', 'are', 'frequent', 'around', 'sunlike', 'stars', 'whether', 'or', 'not', 'debris', 'disks', 'in', 'general', 'are', 'accompanied', 'by', 'planets', 'is', 'yet', 'unknown', 'but', 'debris', 'disks', 'with', 'large', 'inner', 'cavities', 'perhaps', 'dynamically', 'cleared', 'are', 'considered', 'to', 'be', 'prime', 'candidates', 'for', 'hosting', 'largeseparation', 'massive', 'giant', 'planets', 'we', 'present', 'here', 'a', 'highcontrast', 'vltnaco', 'angular', 'differential', 'imaging', 'survey', 'for', 'eight', 'such', 'cold', 'debris', 'disks', 'we', 'investigated', 'the', 'presence', 'of', 'massive', 'giant', 'planets', 'in', 'the', 'range', 'of', 'orbital', 'radii', 'where', 'the', 'inner', 'edge', 'of', 'the', 'dust', 'debris', 'is', 'expected', 'our', 'observations', 'are', 'sensitive', 'to', 'planets', 'and', 'brown', 'dwarfs', 'with', 'masses', '3', 'to', '7', 'jupiter', 'mass', 'depending', 'on', 'the', 'age', 'and', 'distance', 'of', 'the', 'target', 'star', 'our', 'observations', 'did', 'not', 'identify', 'any', 'planet', 'candidates', 'we', 'compare', 'the', 'derived', 'planet', 'mass', 'upper', 'limits', 'to', 'the', 'minimum', 'planet', 'mass', 'required', 'to', 'dynamically', 'clear', 'the', 'inner', 'disks', 'while', 'we', 'can', 'not', 'exclude', 'that', 'single', 'giant', 'planets', 'are', 'responsible', 'for', 'clearing', 'out', 'the', 'inner', 'debris', 'disks', 'our', 'observations', 'constrain', 'the', 'parameter', 'space', 'available', 'for', 'such', 'planets', 'the', 'nondetection', 'of', 'massive', 'planets', 'in', 'these', 'evacuated', 'debris', 'disks', 'further', 'reinforces', 'the', 'notion', 'that', 'the', 'giant', 'planet', 'population', 'is', 'confined', 'to', 'the', 'inner', 'disk', '15', 'au']] | [-0.13080630678222424, 0.16749103402139107, -0.025476240422850585, 0.08949554378783682, -0.16536366414306136, -0.03918778686099412, 0.048946553453752845, 0.367179603232573, -0.14718444803920824, -0.368320178350105, 0.08942022667649914, -0.26963746869096566, -0.050995290177810355, 0.17387711015580148, -0.10121107959147434, 0.014324655267295847, 0.14810761329307057, -0.10136349270960279, 0.006372040219824104, -0.29356789318205534, 0.33848247645130636, 0.06745322469128844, -0.07881427333261087, -0.048399983330027145, -0.01953360321246745, -0.1384063606725677, -0.045290750350949226, -0.10388029841024214, -0.2441063947951311, 0.015603062002828308, 0.26312695544523496, 0.1153527462818459, 0.20762097954695277, -0.3986781787437697, -0.18585811008461842, 0.06736921908518792, 0.2112168294911766, -0.009334740679775017, -0.0700409796058118, -0.2580706914065077, 0.13233325606843743, -0.18831742295764806, -0.2256629791215756, 0.05930986174030741, 0.09426340873024482, -0.025164103765764237, -0.2788685273680683, 0.08655934657344558, 0.10401777299486246, 0.10593059857466655, -0.15823527073998953, -0.16455545223617069, -0.09588139635241746, 0.060082358721296726, 0.0225643221193048, 0.012787561676483237, 0.2473999898031573, -0.0756966058959769, -0.007732968516054326, 0.3797032883591658, -0.09038199561273716, -0.028434611135618945, 0.3108764094432962, -0.28976470517569825, -0.12450258346735592, 0.17293970113535703, 0.1719490008625001, 0.17179690877445883, -0.18095541578334043, -0.023986725424822674, -0.07746013997958097, 0.20814603263073983, 0.1029109751700661, 0.0911584430064335, 0.49254312157156127, 0.11351134051302307, 0.0666946599467694, 0.08601404786025466, -0.2555929452612284, -0.10114292360159714, -0.14572933468712018, -0.14140903571616018, -0.18515317345622415, 0.012640092074719838, -0.11687976615854388, -0.1151719679464626, 0.25355501472721714, 0.09929466236027627, 0.20180920225125282, 0.004411770708376186, 0.3218257897624783, 0.04537099184794808, 0.1919742980698014, 0.17407131939441622, 0.35820109624525204, 0.12879025181595638, 0.0451288969637187, -0.250656769109899, 0.08875962103147507, -0.06661818675952506] |
710.0207 | Medium-separation binaries do not affect the first steps of planet
formation | The first steps of planet formation are marked by the growth and
crystallization of sub-micrometer-sized dust grains accompanied by dust
settling toward the disk midplane. In this paper we explore whether the first
steps of planet formation are affected by the presence of medium-separation
stellar companions. We selected two large samples of disks around single and
binary T Tauri stars in Taurus that are thought to have only a modest age
spread of a few Myr. The companions of our binary sample are at projected
separations between 10 and 450 AU with masses down to about 0.1 solar masses.
We used the strength and shape of the 10 micron silicate emission feature as a
proxy for grain growth and for crystallization respectively. The degree of dust
settling was evaluated from the ratio of fluxes at two different mid-infrared
wavelengths. We find no statistically significant difference between the
distribution of 10 micron silicate emission features from single and binary
systems. In addition, the distribution of disk flaring is indistinguishable
between the single and binary system samples. These results show that the first
steps of planet formation are not affected by the presence of a companion at
tens of AU.
| astro-ph | the first steps of planet formation are marked by the growth and crystallization of submicrometersized dust grains accompanied by dust settling toward the disk midplane in this paper we explore whether the first steps of planet formation are affected by the presence of mediumseparation stellar companions we selected two large samples of disks around single and binary t tauri stars in taurus that are thought to have only a modest age spread of a few myr the companions of our binary sample are at projected separations between 10 and 450 au with masses down to about 01 solar masses we used the strength and shape of the 10 micron silicate emission feature as a proxy for grain growth and for crystallization respectively the degree of dust settling was evaluated from the ratio of fluxes at two different midinfrared wavelengths we find no statistically significant difference between the distribution of 10 micron silicate emission features from single and binary systems in addition the distribution of disk flaring is indistinguishable between the single and binary system samples these results show that the first steps of planet formation are not affected by the presence of a companion at tens of au | [['the', 'first', 'steps', 'of', 'planet', 'formation', 'are', 'marked', 'by', 'the', 'growth', 'and', 'crystallization', 'of', 'submicrometersized', 'dust', 'grains', 'accompanied', 'by', 'dust', 'settling', 'toward', 'the', 'disk', 'midplane', 'in', 'this', 'paper', 'we', 'explore', 'whether', 'the', 'first', 'steps', 'of', 'planet', 'formation', 'are', 'affected', 'by', 'the', 'presence', 'of', 'mediumseparation', 'stellar', 'companions', 'we', 'selected', 'two', 'large', 'samples', 'of', 'disks', 'around', 'single', 'and', 'binary', 't', 'tauri', 'stars', 'in', 'taurus', 'that', 'are', 'thought', 'to', 'have', 'only', 'a', 'modest', 'age', 'spread', 'of', 'a', 'few', 'myr', 'the', 'companions', 'of', 'our', 'binary', 'sample', 'are', 'at', 'projected', 'separations', 'between', '10', 'and', '450', 'au', 'with', 'masses', 'down', 'to', 'about', '01', 'solar', 'masses', 'we', 'used', 'the', 'strength', 'and', 'shape', 'of', 'the', '10', 'micron', 'silicate', 'emission', 'feature', 'as', 'a', 'proxy', 'for', 'grain', 'growth', 'and', 'for', 'crystallization', 'respectively', 'the', 'degree', 'of', 'dust', 'settling', 'was', 'evaluated', 'from', 'the', 'ratio', 'of', 'fluxes', 'at', 'two', 'different', 'midinfrared', 'wavelengths', 'we', 'find', 'no', 'statistically', 'significant', 'difference', 'between', 'the', 'distribution', 'of', '10', 'micron', 'silicate', 'emission', 'features', 'from', 'single', 'and', 'binary', 'systems', 'in', 'addition', 'the', 'distribution', 'of', 'disk', 'flaring', 'is', 'indistinguishable', 'between', 'the', 'single', 'and', 'binary', 'system', 'samples', 'these', 'results', 'show', 'that', 'the', 'first', 'steps', 'of', 'planet', 'formation', 'are', 'not', 'affected', 'by', 'the', 'presence', 'of', 'a', 'companion', 'at', 'tens', 'of', 'au']] | [-0.05603887900860623, 0.16050505106375, -0.030221513869955835, 0.040734481706161695, -0.007164066379614683, -0.05834177552929355, 0.05548372775412663, 0.42127912854211347, -0.21593832275877245, -0.38038124985089805, 0.04878308574346863, -0.2832187827996383, -0.03756779009027106, 0.15168839454829616, -0.027950799400739447, 0.0014881114334319577, 0.07242944880360455, -0.11306450016105152, -0.03666114697533876, -0.27612671560391483, 0.3291702809734176, 0.047612358222132306, 0.08943156075118242, 0.017445595404356622, 0.0467902782109726, -0.1099243072682352, -0.032642169025340916, -0.05419116919258177, -0.16123020284930586, 0.05547021736033411, 0.19536970944303755, 0.08027938400239994, 0.21934633869724818, -0.3684869323399037, -0.1983267614815497, 0.05004578471099111, 0.1598308418120135, 0.04848083917220885, -0.050542750546351226, -0.21669236089648547, 0.12402413075912104, -0.1435447312789914, -0.12560305393752502, 0.09013664777475325, 0.09128684009133715, 0.019150243813966898, -0.24270609365493961, 0.13819167236480015, 0.09057802793856785, 0.1378286231233917, -0.11107275332618186, -0.1381463593214802, -0.0882689471137851, 0.1070654976435683, 0.024650379025255038, 0.03685159513414038, 0.2079183336140381, -0.1075113900158686, -0.05487008304617396, 0.39001904253970193, -0.09998828921328308, -0.03364105046152918, 0.27822235346574226, -0.2386143589492257, -0.11886095344747483, 0.2118098757022785, 0.17184394149558332, 0.1726558835885365, -0.15476779206632402, -0.04555548007354244, -0.006299291726794432, 0.2477187187025192, 0.1275592069259158, 0.04194847146528914, 0.38728011739111007, 0.16015418355748284, -0.0012633118600904414, 0.13736842208273822, -0.2523056256062718, -0.07613152760857683, -0.2346089862009529, -0.13302173935032138, -0.1773780440785828, 0.056183338348799024, -0.15744065388637615, -0.113301150197389, 0.3055586742432412, 0.12677517398072388, 0.23997025595357022, 0.06713849800812889, 0.2508883166286831, 0.04808852426952334, 0.12763356598272843, 0.09966395343559785, 0.30420931542499197, 0.1265866041061177, 0.09373732362262378, -0.2280913243523559, 0.1144799681784905, -0.02928896483523075] |
710.0208 | Hanbury Brown and Twiss correlations in atoms scattered from colliding
condensates | Low energy elastic scattering between clouds of Bose condensed atoms leads to
the well known s-wave halo with atoms emerging in all directions from the
collision zone. In this paper we discuss the emergence of Hanbury Brown and
Twiss coincidences between atoms scattered in nearly parallel directions. We
develop a simple model that explains the observations in terms of an
interference involving two pairs of atoms each associated with the elementary s
wave scattering process.
| cond-mat.other quant-ph | low energy elastic scattering between clouds of bose condensed atoms leads to the well known swave halo with atoms emerging in all directions from the collision zone in this paper we discuss the emergence of hanbury brown and twiss coincidences between atoms scattered in nearly parallel directions we develop a simple model that explains the observations in terms of an interference involving two pairs of atoms each associated with the elementary s wave scattering process | [['low', 'energy', 'elastic', 'scattering', 'between', 'clouds', 'of', 'bose', 'condensed', 'atoms', 'leads', 'to', 'the', 'well', 'known', 'swave', 'halo', 'with', 'atoms', 'emerging', 'in', 'all', 'directions', 'from', 'the', 'collision', 'zone', 'in', 'this', 'paper', 'we', 'discuss', 'the', 'emergence', 'of', 'hanbury', 'brown', 'and', 'twiss', 'coincidences', 'between', 'atoms', 'scattered', 'in', 'nearly', 'parallel', 'directions', 'we', 'develop', 'a', 'simple', 'model', 'that', 'explains', 'the', 'observations', 'in', 'terms', 'of', 'an', 'interference', 'involving', 'two', 'pairs', 'of', 'atoms', 'each', 'associated', 'with', 'the', 'elementary', 's', 'wave', 'scattering', 'process']] | [-0.16507459126412868, 0.24255390064965468, -0.05118817956807713, 0.07233951491238258, -0.0033594565435002247, -0.11359357974802455, 0.04419627753086388, 0.37809871112306914, -0.2514632235467434, -0.29244497820734977, -0.0918012874511381, -0.3320045622065663, -0.10887219591764734, 0.12795545816731949, 0.022799772458771864, 0.0005814908848454555, 0.03831639038398862, -0.03029771866897742, -0.05766288837728401, -0.21040697497626146, 0.34680189757297436, 0.05761278808737794, 0.23038450338567296, 0.06841071414450804, 0.06546248617271583, 0.07216841388183336, -0.005359249673783779, -0.06107964182893435, -0.10731095057339796, 0.12773659492532413, 0.27082105143616597, 0.04473123831053575, 0.16020189236849547, -0.46978905245661734, -0.16849798856923978, 0.08744430503652742, 0.19697698588172594, 0.12672271800537904, -0.06309537796924512, -0.2887673797706763, -0.061929524720956884, -0.15562723385790983, -0.14609307739883662, -0.007424580616255601, 0.027665381922076147, 0.05601372499018908, -0.21970479540216425, 0.1021699398631851, 0.05524534115102142, 0.07586215626448393, -0.07466472993294399, -0.10208168365682165, 0.057039959557975334, 0.01705366432511558, 0.04161651532903003, -0.005299909928192695, 0.0819667700305581, -0.12135497444930175, -0.1284766574949026, 0.4179174823065599, -0.07390333111087481, -0.09837989335258802, 0.24871320227781932, -0.16747107927377025, -0.05306302526965737, 0.13911756566415232, 0.15537384144961833, 0.07300182367364566, -0.15053126795838276, 0.03924339915586946, -0.07227795466295599, 0.10140335266788801, 0.15449153391023476, 0.07882063913469513, 0.2790634712576866, 0.13826037248790574, 0.044971032552421096, 0.14431199707090855, -0.1693947527751637, -0.11554060323163867, -0.3132535495360692, -0.16919250379006068, -0.1918783860669161, 0.005440085006218093, -0.02339443521554737, -0.14228200538704794, 0.3353409970551729, 0.11965555832410853, 0.2688385825355848, -0.0341076219206055, 0.29728762752066057, 0.09738999580964446, 0.04454701784377297, 0.0447768016718328, 0.24660067373265823, 0.2005286298195521, 0.08627549560119709, -0.2586482902585218, -0.011107645630836487, -0.005829149733763188] |
710.0209 | Parton Equilibration Enforcing Baryon Number Conservation | Parton equilibration for a thermally equilibrated but chemically
non-equilibrated quark gluon plasma is presented. Parton equilibration is
studied enforcing baryon numbver conservation. Process like quark flavour
interchanging is also considered. The degree of equilibration is studied
comparatively for the various reactions / constraints that are being
considered.
| nucl-th | parton equilibration for a thermally equilibrated but chemically nonequilibrated quark gluon plasma is presented parton equilibration is studied enforcing baryon numbver conservation process like quark flavour interchanging is also considered the degree of equilibration is studied comparatively for the various reactions constraints that are being considered | [['parton', 'equilibration', 'for', 'a', 'thermally', 'equilibrated', 'but', 'chemically', 'nonequilibrated', 'quark', 'gluon', 'plasma', 'is', 'presented', 'parton', 'equilibration', 'is', 'studied', 'enforcing', 'baryon', 'numbver', 'conservation', 'process', 'like', 'quark', 'flavour', 'interchanging', 'is', 'also', 'considered', 'the', 'degree', 'of', 'equilibration', 'is', 'studied', 'comparatively', 'for', 'the', 'various', 'reactions', 'constraints', 'that', 'are', 'being', 'considered']] | [-0.1054035612485475, 0.42506672483351493, -0.17570392772969273, 0.17910653790091197, -0.018456464467777146, -0.13976073305432996, -0.03952766874184211, 0.33999958518478607, -0.17162700738343928, -0.175851613158981, -0.014253622117555804, -0.26400476197401684, 0.12857123114582564, 0.01719545308086607, 0.08953814957704809, 0.10249894805666473, 0.06579362495621252, -0.04494264482830961, 0.001581403287127614, -0.25400242826177016, 0.31876786102851234, 0.018285887108908758, 0.232970818463299, 0.2095539916306734, 0.09680971863369146, -0.03072596134410964, -0.06504953163287913, -0.02870628134244018, -0.09276897807059059, -0.06838014043039746, 0.21878303516811382, 0.05312580080806381, 0.06637925205157241, -0.43724702124794323, -0.22374052469515138, 0.0653633957521783, 0.18038205770879157, 0.13647697791457175, -0.11439037794868151, -0.16726898921446667, 0.0792673050529427, -0.24575633459187682, -0.15836611756434044, -0.15414747926923963, 0.002664094666639964, 0.0012144324059287707, -0.3479789947714178, 0.1390582581251187, -0.0073515953289137945, 0.015973452106118204, 0.04984195043539835, -0.2305230145032207, -0.14240516800071215, -0.02639570931593577, 0.12370988827961911, 0.057442937398122416, 0.26751288452910055, -0.19498039034919606, -0.07847126687152518, 0.47477908900214566, 0.08087616194453505, -0.21315066673689417, 0.19374207306860222, -0.13732717062036195, -0.1891512968370484, 0.13467337090729012, 0.14217033685288497, 0.13490176238637003, -0.3242407240801387, 0.08426085710525513, -0.036040599416527486, 0.08124859011473341, 0.15895860158941813, 0.080099221246524, 0.17237415230936473, 0.29497068288943007, 0.00022359072334236568, 0.08317958712577819, 0.010011349080337418, -0.18754124749037954, -0.3747015745896432, -0.06931039227379693, -0.14491829576177728, 0.09571862694186468, -0.07198703938888179, -0.11573399392267068, 0.3757996487120787, 0.044482933150397405, 0.14198452368275158, -0.038392487499448985, 0.32394832571347554, 0.13657099564249317, 0.021711421654456192, 0.10088951188243098, 0.22202145879467328, 0.28283691128922833, 0.1830325556298097, -0.29461648823279474, 0.14180522468975848, 0.08212722376402881] |
710.021 | Viscous dark fluid | The unified dark energy and dark matter model within the framework of a model
of a continuous medium with bulk viscosity (dark fluid) is considered. It is
supposed that the bulk viscosity coefficient is an arbitrary function of the
Hubble parameter. The choice of this function is carried out under the
requirement to satisfy the observational data from recombination ($z\approx
1000$) till present time.
| astro-ph | the unified dark energy and dark matter model within the framework of a model of a continuous medium with bulk viscosity dark fluid is considered it is supposed that the bulk viscosity coefficient is an arbitrary function of the hubble parameter the choice of this function is carried out under the requirement to satisfy the observational data from recombination zapprox 1000 till present time | [['the', 'unified', 'dark', 'energy', 'and', 'dark', 'matter', 'model', 'within', 'the', 'framework', 'of', 'a', 'model', 'of', 'a', 'continuous', 'medium', 'with', 'bulk', 'viscosity', 'dark', 'fluid', 'is', 'considered', 'it', 'is', 'supposed', 'that', 'the', 'bulk', 'viscosity', 'coefficient', 'is', 'an', 'arbitrary', 'function', 'of', 'the', 'hubble', 'parameter', 'the', 'choice', 'of', 'this', 'function', 'is', 'carried', 'out', 'under', 'the', 'requirement', 'to', 'satisfy', 'the', 'observational', 'data', 'from', 'recombination', 'zapprox', '1000', 'till', 'present', 'time']] | [-0.12149623373989016, 0.14104898692517054, -0.15536426154721994, 0.038798830208179425, -0.0924734195577912, -0.09259135460888501, 0.011876431261043763, 0.3023211231920868, -0.2717764352855738, -0.33638581589912064, 0.04524778159611742, -0.23315497191651957, -0.019974723109044135, 0.13254939644684782, 0.05079631194166723, 0.058915469751809724, -0.030851550996885635, 0.02042331374832429, -0.017047484561771853, -0.2463147482922068, 0.31301007635192946, 0.09870542754651979, 0.2641169016069398, 0.05398718388732959, 0.13819529419015453, -0.051551105058024405, -0.0653962464803044, 0.0018889757920987904, -0.2184133666202115, -0.0017441493000660557, 0.21005125806550495, 0.08545224861154566, 0.2600282717430673, -0.40024315036134794, -0.25648592493962497, 0.1328355991281569, 0.09150191640947014, 0.07569770283589605, -0.043457464533275925, -0.23816632037051022, 0.03228405208210461, -0.1838274609472137, -0.1288268146890914, 0.002004313428187743, 0.012842466385336593, -0.041086795972660184, -0.2820944026680081, 0.18422743373957928, -0.05026825255481526, -0.049782677757320926, -0.13426183829142246, -0.07773040256870445, -0.03952809494512621, 0.026201461208984256, 0.10131483703662525, 0.06384090318897506, 0.18853567022597417, -0.18233598621372948, 0.021934753298410214, 0.4291293476126157, -0.10709826396487188, -0.18933281154022552, 0.15666268284621765, -0.12436651587813685, -0.08990362802433083, 0.16308192251017317, 0.09962693029956426, 0.11680531656020321, -0.17943880043458194, 0.14085163690378977, -0.07115353976314509, 0.2111786786990706, -0.015170821565334336, 0.006055111814930569, 0.26934683858416975, 0.20920951530570164, 0.051440212708257604, 0.0988344630386564, -0.08713215235911775, -0.07124445606314112, -0.36850545642664656, -0.16721605816564988, -0.19715578756222385, 0.0362020053435117, -0.13304829356070513, -0.13478691410091415, 0.35075412364676595, 0.12057048447604757, 0.19470955949850577, 0.052679561922559515, 0.3012253234628588, 0.12204628845211118, 0.059392578063125256, 0.07190257344336715, 0.31206199948792346, 0.11835235017497325, 0.14355018995411228, -0.21159371984686004, 0.04170237773359986, 0.016266694576188456] |
710.0211 | Nonlocality of Dephasing in a Charge Qubit Interacting with a Quantum
Point Contact Beam Collider | We investigate the charge-detection-induced dephasing of a charge qubit
interacting with an electronic beam collider composed of a quantum point
contact. We report that, while the qubit is dephased by the partitioned beam of
uncorrelated electrons, the interference of the qubit is fully restored when
the two inputs are identically biased so that all the electrons suffer
two-electron collision. This phenomenon is related to Fermi statistics and
illustrates the peculiar nonlocality of dephasing. We also describe detection
properties for the injection of entangled electron pairs.
| cond-mat.mes-hall | we investigate the chargedetectioninduced dephasing of a charge qubit interacting with an electronic beam collider composed of a quantum point contact we report that while the qubit is dephased by the partitioned beam of uncorrelated electrons the interference of the qubit is fully restored when the two inputs are identically biased so that all the electrons suffer twoelectron collision this phenomenon is related to fermi statistics and illustrates the peculiar nonlocality of dephasing we also describe detection properties for the injection of entangled electron pairs | [['we', 'investigate', 'the', 'chargedetectioninduced', 'dephasing', 'of', 'a', 'charge', 'qubit', 'interacting', 'with', 'an', 'electronic', 'beam', 'collider', 'composed', 'of', 'a', 'quantum', 'point', 'contact', 'we', 'report', 'that', 'while', 'the', 'qubit', 'is', 'dephased', 'by', 'the', 'partitioned', 'beam', 'of', 'uncorrelated', 'electrons', 'the', 'interference', 'of', 'the', 'qubit', 'is', 'fully', 'restored', 'when', 'the', 'two', 'inputs', 'are', 'identically', 'biased', 'so', 'that', 'all', 'the', 'electrons', 'suffer', 'twoelectron', 'collision', 'this', 'phenomenon', 'is', 'related', 'to', 'fermi', 'statistics', 'and', 'illustrates', 'the', 'peculiar', 'nonlocality', 'of', 'dephasing', 'we', 'also', 'describe', 'detection', 'properties', 'for', 'the', 'injection', 'of', 'entangled', 'electron', 'pairs']] | [-0.1921694807353474, 0.2556170897540661, -0.0430547733087137, 0.05315478944629874, 0.041396805309757055, -0.22006557189992496, 0.031779702162436606, 0.3775301090707736, -0.24882273344389563, -0.2384750431935702, -0.030706985404581895, -0.3344183896136071, -0.045636372637957154, 0.16950048200253928, -0.002662234335383844, 0.048129508400701786, 0.09104839534432228, -0.02097287971437687, -0.06463665132122558, -0.23232421276736118, 0.34523466170676764, 0.05428121601809315, 0.29740728359701324, 0.06149786859307261, 0.12400874144042887, 0.036755872857091684, 0.04360988107509911, -0.019054139896373574, -0.05004634472650304, 0.046961191221184674, 0.2338843497979854, 0.03446239883279694, 0.215971716541043, -0.44857373529867756, -0.17308167375934622, 0.06590005238207855, 0.1497243819370245, 0.18243464312815508, -0.0473787638946392, -0.32213809357823003, 0.0019265894176593672, -0.17601802017140603, -0.10301129230009835, -0.04505500906989688, -0.0197774434484364, 0.022423755393468865, -0.23445801607643565, 0.11449744658221746, 0.09038865732561265, 0.007042733708485251, 0.012160513383735503, -0.042660248022349107, 0.006167383842347633, 0.08329376472898903, -0.0067811565102255415, -0.024595805161100413, 0.20590656534546897, -0.10713956608448089, -0.141324605388079, 0.352137983173071, -0.004828125385323628, -0.19199612783320066, 0.16872018274928754, -0.1727017850027464, -0.07295140556968926, 0.1360295471192027, 0.11979103572888389, 0.06892280189675234, -0.18822175123083676, 0.04358047558413264, -0.02020616854895793, 0.17091601026151607, 0.03452065230313955, 0.13637393230705389, 0.22669684266050658, 0.15270937304289656, 0.08725561856547193, 0.1872259357644777, -0.1520413395815662, -0.07883478486023489, -0.31491004713323145, -0.15224991657859868, -0.2656180081165595, 0.13710545601012805, 0.01348988975726007, -0.14478544975143104, 0.44816665688440915, 0.1441918389006917, 0.17362476329019824, -0.0475884605770088, 0.29775733180299757, 0.13182295885469233, 0.01492773314523566, 0.07139942564754165, 0.26090766561849577, 0.14540810641899174, 0.03340749596966253, -0.332695754815913, 0.0380378166973103, -0.03950247574331505] |
710.0212 | Linear oscillations of a compressible hemispherical bubble on a solid
substrate | The linear natural and forced oscillations of a hemispherical bubble on a
solid substrate are under theoretical consideration. The contact line dynamics
is taken into account with the Hocking condition, which eventually leads to
interaction of the shape and volume oscillations. Resonant phenomena, mostly
pronounced for the bubble with the fixed contact line or with the fixed contact
angle, are found out. The limiting case of weakly compressible bubble is
studied. The general criterion identifying whether the compressibility of a
bubble can be neglected is obtained.
| physics.flu-dyn | the linear natural and forced oscillations of a hemispherical bubble on a solid substrate are under theoretical consideration the contact line dynamics is taken into account with the hocking condition which eventually leads to interaction of the shape and volume oscillations resonant phenomena mostly pronounced for the bubble with the fixed contact line or with the fixed contact angle are found out the limiting case of weakly compressible bubble is studied the general criterion identifying whether the compressibility of a bubble can be neglected is obtained | [['the', 'linear', 'natural', 'and', 'forced', 'oscillations', 'of', 'a', 'hemispherical', 'bubble', 'on', 'a', 'solid', 'substrate', 'are', 'under', 'theoretical', 'consideration', 'the', 'contact', 'line', 'dynamics', 'is', 'taken', 'into', 'account', 'with', 'the', 'hocking', 'condition', 'which', 'eventually', 'leads', 'to', 'interaction', 'of', 'the', 'shape', 'and', 'volume', 'oscillations', 'resonant', 'phenomena', 'mostly', 'pronounced', 'for', 'the', 'bubble', 'with', 'the', 'fixed', 'contact', 'line', 'or', 'with', 'the', 'fixed', 'contact', 'angle', 'are', 'found', 'out', 'the', 'limiting', 'case', 'of', 'weakly', 'compressible', 'bubble', 'is', 'studied', 'the', 'general', 'criterion', 'identifying', 'whether', 'the', 'compressibility', 'of', 'a', 'bubble', 'can', 'be', 'neglected', 'is', 'obtained']] | [-0.16806223692701144, 0.17199057884076063, -0.09974820204079152, 0.051186121933107426, -0.06798890422043555, -0.17257207332398086, 0.03819593917167581, 0.32553576145540264, -0.25701620429754257, -0.2617998913053752, 0.09944384339101174, -0.2670163501680637, -0.09397246222121312, 0.18600824158364798, 0.02528211972950136, 0.013269658704452654, 0.05322372243904015, 0.0264590227866874, -0.03421163584160454, -0.18628359898267424, 0.32977944982292895, 0.07050106386270594, 0.27236656271578635, 0.09767251366626142, 0.05034748568903203, -0.022124376904000254, -0.022796122121679432, 0.12391404419699135, -0.16907179368529743, 0.015459441032041521, 0.17462028911515304, 0.0020645406261524733, 0.21555619077647434, -0.4595490219181075, -0.23145953033338576, 0.08470540637259974, 0.11659546918509638, 0.10097409658106592, -0.006392583870055045, -0.2887392366387169, 0.009942230215186582, -0.08534368242904106, -0.17083789261934512, -0.007820150409551228, 0.0180515934165348, 0.014064154872561203, -0.2431649821865208, 0.0967594054472797, 0.09310819872600191, 0.04727046757059939, -0.05229376206064926, -0.06572219278160071, -0.05787887091419714, 0.09890812319045995, 0.0584670369485941, -0.0015614704283721307, 0.19669758609824758, -0.11968169321360833, 0.008048666676725534, 0.44063612462213153, -0.04651066816466696, -0.20650402011678498, 0.18629288375103736, -0.18648584294406806, -0.04868362364907037, 0.22660237874507028, 0.1370697798755239, 0.07185017135103836, -0.1157115055795978, 0.037576372125733865, -0.048517468564814946, 0.13581713727291891, 0.09418676390367396, -0.07078175126944723, 0.2639627541251042, 0.18063047500875065, 0.04323411009767476, 0.1647359126555624, -0.12154849032214021, -0.11942456695525085, -0.31164742857217786, -0.10043245037908063, -0.11826825732474817, 0.044525245525052444, -0.07896930765435921, -0.20941393832292626, 0.33954492376788575, 0.01585070301833398, 0.20574479806510843, -0.008438337943516672, 0.2569892427473165, 0.13159037167754242, 0.04484642855275203, 0.024103452807621044, 0.2864003487807863, 0.13345325222814128, 0.08703993753365734, -0.24954922571230462, 0.08948218655936858, 0.02469439915217021] |
710.0213 | Optimising the topology of complex neural networks | In this paper, we study instances of complex neural networks, i.e. neural
netwo rks with complex topologies. We use Self-Organizing Map neural networks
whose n eighbourhood relationships are defined by a complex network, to
classify handwr itten digits. We show that topology has a small impact on
performance and robus tness to neuron failures, at least at long learning
times. Performance may howe ver be increased (by almost 10%) by artificial
evolution of the network topo logy. In our experimental conditions, the evolved
networks are more random than their parents, but display a more heterogeneous
degree distribution.
| cs.NE cs.AI | in this paper we study instances of complex neural networks ie neural netwo rks with complex topologies we use selforganizing map neural networks whose n eighbourhood relationships are defined by a complex network to classify handwr itten digits we show that topology has a small impact on performance and robus tness to neuron failures at least at long learning times performance may howe ver be increased by almost 10 by artificial evolution of the network topo logy in our experimental conditions the evolved networks are more random than their parents but display a more heterogeneous degree distribution | [['in', 'this', 'paper', 'we', 'study', 'instances', 'of', 'complex', 'neural', 'networks', 'ie', 'neural', 'netwo', 'rks', 'with', 'complex', 'topologies', 'we', 'use', 'selforganizing', 'map', 'neural', 'networks', 'whose', 'n', 'eighbourhood', 'relationships', 'are', 'defined', 'by', 'a', 'complex', 'network', 'to', 'classify', 'handwr', 'itten', 'digits', 'we', 'show', 'that', 'topology', 'has', 'a', 'small', 'impact', 'on', 'performance', 'and', 'robus', 'tness', 'to', 'neuron', 'failures', 'at', 'least', 'at', 'long', 'learning', 'times', 'performance', 'may', 'howe', 'ver', 'be', 'increased', 'by', 'almost', '10', 'by', 'artificial', 'evolution', 'of', 'the', 'network', 'topo', 'logy', 'in', 'our', 'experimental', 'conditions', 'the', 'evolved', 'networks', 'are', 'more', 'random', 'than', 'their', 'parents', 'but', 'display', 'a', 'more', 'heterogeneous', 'degree', 'distribution']] | [-0.14606035531640216, 0.07159212422962098, -0.02215712782724396, 0.06138008496212854, -0.044791911584426365, -0.17348482255044434, 0.015698312462874404, 0.4638618789613247, -0.2504584323013778, -0.30301504076013097, 0.06528589567017701, -0.2683334318318647, -0.2775022336509605, 0.1636302509729791, -0.09434220076898624, 0.022837691434213648, 0.10554083891253432, 0.04750316300550881, -0.02857809553793429, -0.3126524072545378, 0.31152253099919663, 0.046462614635896425, 0.2654217200697926, -0.017342242113638506, 0.08102405450367571, -0.077385457837448, 0.016654837216027892, 0.007929146388525387, -0.03483195927124736, 0.14917485370887848, 0.2666324441847594, 0.14436569849140538, 0.2874318495716738, -0.4460672042484436, -0.25605995646353974, 0.16584283837279223, 0.1321152845959422, 0.062295172829180956, 0.04857346269462774, -0.30861018714495003, 0.16640487026787645, -0.17799623646035045, -0.0576299887565572, -0.09388023669041855, 0.05256594769889489, 0.04771058974122001, -0.23454608184376569, -0.0060474200328589295, 0.04420832070299303, 0.10689046770415228, 0.0005679455226408722, -0.11209688873192214, -0.03166914872227884, 0.12592091840570388, -0.024534929806933455, 0.053962743038858244, 0.13466534753957682, -0.1640656755290642, -0.13738682272378355, 0.3081808035950298, -0.029484910514166466, -0.19726936120550026, 0.2174432401585838, -0.07922851671363511, -0.17893026781815063, 0.12195335675673762, 0.24789529462830853, 0.09388656508805149, -0.14554884241205518, 0.0004897548383071452, -0.03099191314338342, 0.15909108799963217, 0.0730968997510069, 0.00653189979493618, 0.16151571072860743, 0.2573415970875193, 0.043721827511351716, 0.12911764954333194, -0.06781408786976142, -0.090457064970194, -0.15370128719065257, -0.0674867473502198, -0.1861932844672676, 0.11078688961519535, -0.13185166486057467, -0.1365937780558496, 0.4164067525619074, 0.13541324173591263, 0.24040784603794632, 0.16103083829638426, 0.2557034789301131, 0.034465735480847325, 0.12368462697106777, 0.1336318846670506, 0.14618177491865936, 0.08427028077447017, 0.12674516320491777, -0.1327593499091049, 0.11874694585719187, 0.00951116164619832] |
710.0214 | Curvature corrections in DGP brane cosmology | We consider a DGP inspired brane scenario where the action on the brane is
augmented by a function of the Ricci scalar, ${\cal L}(R)$. The cosmological
implications that such a scenario entails are examined for $R^{n}$ and shown to
be consistent with a universe expanding with power-law acceleration. It is
shown that two classes of solutions exist for the usual FRW metric and small
Hubble radii. When the Hubble radius becomes larger, we either have a
transition to a fully 5D regime or to a self-inflationary solution which
produces a late accelerated expansion such that the radius becomes a function
of $n$.
| gr-qc hep-th | we consider a dgp inspired brane scenario where the action on the brane is augmented by a function of the ricci scalar cal lr the cosmological implications that such a scenario entails are examined for rn and shown to be consistent with a universe expanding with powerlaw acceleration it is shown that two classes of solutions exist for the usual frw metric and small hubble radii when the hubble radius becomes larger we either have a transition to a fully 5d regime or to a selfinflationary solution which produces a late accelerated expansion such that the radius becomes a function of n | [['we', 'consider', 'a', 'dgp', 'inspired', 'brane', 'scenario', 'where', 'the', 'action', 'on', 'the', 'brane', 'is', 'augmented', 'by', 'a', 'function', 'of', 'the', 'ricci', 'scalar', 'cal', 'lr', 'the', 'cosmological', 'implications', 'that', 'such', 'a', 'scenario', 'entails', 'are', 'examined', 'for', 'rn', 'and', 'shown', 'to', 'be', 'consistent', 'with', 'a', 'universe', 'expanding', 'with', 'powerlaw', 'acceleration', 'it', 'is', 'shown', 'that', 'two', 'classes', 'of', 'solutions', 'exist', 'for', 'the', 'usual', 'frw', 'metric', 'and', 'small', 'hubble', 'radii', 'when', 'the', 'hubble', 'radius', 'becomes', 'larger', 'we', 'either', 'have', 'a', 'transition', 'to', 'a', 'fully', '5d', 'regime', 'or', 'to', 'a', 'selfinflationary', 'solution', 'which', 'produces', 'a', 'late', 'accelerated', 'expansion', 'such', 'that', 'the', 'radius', 'becomes', 'a', 'function', 'of', 'n']] | [-0.13403079274921945, 0.15426709447378792, -0.09338195625655722, 0.08685421832781838, -0.104777119455987, -0.16734353784416425, -0.06284610315290566, 0.3315379053059191, -0.19807586172540295, -0.22947604244224507, 0.09601526665224666, -0.2767729830402549, -0.1134373700329204, 0.14837581637352337, -0.017111803856816623, -0.015730802495364505, 0.01624532627624155, 0.07466296681968293, -0.06683928224184357, -0.23110572657418796, 0.3621301000608168, 0.047455538299377306, 0.21413875760344586, 0.008984380802208798, 0.11100868397567532, -0.10243733793653843, 0.04075632549564142, 0.11538097513194132, -0.15587429346228285, 0.04557490037145591, 0.15906114434353122, 0.14802551617624587, 0.2574481411772494, -0.38762427401719707, -0.27461568461638863, 0.15891015056133417, 0.1891631994484048, 0.1109822605176665, -0.06946535529407423, -0.26776623411915534, 0.08307994505860797, -0.1952938267610746, -0.1402432525059033, -0.005604033542815411, 0.05131736493641787, -0.06519702391348559, -0.33015981766552027, 0.08752095582203405, 0.008781171957086218, -0.05507777480980252, -0.10342272466491206, -0.04474921053330792, -0.001145594900861235, 0.00975924113097988, 0.10993937467395484, 0.09026942645559216, 0.0972910265041755, -0.14172682480305654, -0.029748809833937132, 0.4044848512028261, -0.11717413322271614, -0.1925011768402292, 0.15795539266494388, -0.14876599275820548, -0.07737525807933347, 0.07706145954428997, 0.09222001664451149, 0.16881675543816815, -0.10539772788522013, 0.18639217463603225, 0.013880166706933391, 0.17988303551763887, 0.07947965045136833, 0.011978233044063397, 0.2573147606436569, 0.15534944966951808, 0.06525311507238536, 0.12382994049417759, -0.04301145818720729, -0.12472378795892738, -0.3498580140052455, -0.14464729759694622, -0.1744531030296394, 0.09550474497425084, -0.1817940371292574, -0.2155933171057714, 0.33980810846026877, 0.06251252331946155, 0.2692862848225649, 0.0912903839143657, 0.24593202110914753, 0.0875774490010768, 0.07112457758129233, 0.12132948985102006, 0.29469769359520165, 0.05636142934257589, 0.09112106726993577, -0.19658196458101992, -0.025162504123763578, 0.10726742877044004] |
710.0215 | Correlation effects on magnetic frustration in the triangular-lattice
Hubbard model | Evolution of the magnetic response function in the triangular-lattice Hubbard
model is studied with interaction strength within a systematic
inverse-degeneracy expansion scheme which incorporates self-energy and vertex
corrections and explicitly preserves the spin-rotation symmetry. It is shown
that at half filling the response function goes through a nearly dispersionless
regime around K for intermediate coupling strength, before undergoing an
inversion at strong coupling, resulting in maximum response at the K point,
consistent with the expected 120^o AF instability. Effects of finite
hole/electron doping on the magnetic response function are also examined.
| cond-mat.str-el | evolution of the magnetic response function in the triangularlattice hubbard model is studied with interaction strength within a systematic inversedegeneracy expansion scheme which incorporates selfenergy and vertex corrections and explicitly preserves the spinrotation symmetry it is shown that at half filling the response function goes through a nearly dispersionless regime around k for intermediate coupling strength before undergoing an inversion at strong coupling resulting in maximum response at the k point consistent with the expected 120o af instability effects of finite holeelectron doping on the magnetic response function are also examined | [['evolution', 'of', 'the', 'magnetic', 'response', 'function', 'in', 'the', 'triangularlattice', 'hubbard', 'model', 'is', 'studied', 'with', 'interaction', 'strength', 'within', 'a', 'systematic', 'inversedegeneracy', 'expansion', 'scheme', 'which', 'incorporates', 'selfenergy', 'and', 'vertex', 'corrections', 'and', 'explicitly', 'preserves', 'the', 'spinrotation', 'symmetry', 'it', 'is', 'shown', 'that', 'at', 'half', 'filling', 'the', 'response', 'function', 'goes', 'through', 'a', 'nearly', 'dispersionless', 'regime', 'around', 'k', 'for', 'intermediate', 'coupling', 'strength', 'before', 'undergoing', 'an', 'inversion', 'at', 'strong', 'coupling', 'resulting', 'in', 'maximum', 'response', 'at', 'the', 'k', 'point', 'consistent', 'with', 'the', 'expected', '120o', 'af', 'instability', 'effects', 'of', 'finite', 'holeelectron', 'doping', 'on', 'the', 'magnetic', 'response', 'function', 'are', 'also', 'examined']] | [-0.17855794658081012, 0.18518771777063184, -0.027787794660940602, 0.05873891457679917, -0.022018565325537226, -0.1306584362288589, 0.07237206133348602, 0.37642220624691836, -0.2711317748660324, -0.25424717471085406, 0.013135213315343628, -0.3224928854135694, -0.1378516026844199, 0.10261458427399643, 0.12027744309986932, -0.026239622571086, -0.05202897764987998, 0.039009627456275314, -0.12459893628780903, -0.19793690388745905, 0.2670075940479944, 0.07778605485109838, 0.30281519345366037, 0.07758328836899926, 0.07775577094730829, 0.06525740997256854, 0.09926250856369734, 0.031492790703631035, -0.12660704022773944, -0.07381274923298425, 0.19485151542128054, -0.08190485030146581, 0.24491857395476693, -0.37155456922866487, -0.1936657817440701, -0.013234613753681245, 0.14721583802084143, 0.11774700399421688, -0.024067105097276578, -0.23550721795738236, 0.023171415020312582, -0.17957940597885422, -0.16370285578727067, -0.05069576966023625, 0.02298548828892328, -0.031250167494783036, -0.31459686115056607, 0.10967586948606697, 0.03648988537715523, 0.09296808677346824, -0.08697812381497287, -0.10568339140205593, -0.09203463002711862, 0.07001306953747849, 0.05437532794830686, 0.09078527706071407, 0.11089223607540499, -0.1295305221356902, -0.040557634710349594, 0.3474564023397781, -0.09384148766588583, -0.1279474603687669, 0.1354863487624123, -0.2003703668795444, -0.07404515044866028, 0.22192704388974133, 0.12283735247942937, 0.07907272887590168, -0.1253571877061584, 0.13089475356001448, 0.022515682316804817, 0.16831108499324757, 0.014342167865034642, 0.0477257652238912, 0.23440951869086168, 0.1639481330530943, 0.04900523164606357, 0.1509127661913306, -0.08518134455380777, -0.10419501689682295, -0.3205803380460366, -0.03824069083842275, -0.17990262510643884, 0.038061415403057915, -0.09660248187208129, -0.17421301283488552, 0.4042443300810931, 0.13757650729954488, 0.1626526352995495, 0.009271275703692912, 0.24021841223341422, 0.18809811106709007, 0.11224151168857793, 0.07722571897473963, 0.2793240688848667, 0.17271753467854808, 0.06107622312361395, -0.33842677791899706, 0.07532216563493341, 0.07479871018370102] |
710.0216 | SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry | We review the recent developments of the SUSY quantum Hall effect
[hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007,
arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on
supermanifolds. On each of supersphere and superplane, we investigate SUSY
Landau problem and explicitly construct SUSY extensions of Laughlin
wavefunction and topological excitations. The non-anti-commutative geometry
naturally emerges in the lowest Landau level and brings particular physics to
the SUSY quantum Hall effect. It is shown that SUSY provides a unified picture
of the original Laughlin and Moore-Read states. Based on the charge-flux
duality, we also develop a Chern-Simons effective field theory for the SUSY
quantum Hall effect.
| hep-th cond-mat.mes-hall | we review the recent developments of the susy quantum hall effect hepth0409230 hepth0411137 hepth0503162 hepth0606007 arxiv07054527 we introduce a susy formulation of the quantum hall effect on supermanifolds on each of supersphere and superplane we investigate susy landau problem and explicitly construct susy extensions of laughlin wavefunction and topological excitations the nonanticommutative geometry naturally emerges in the lowest landau level and brings particular physics to the susy quantum hall effect it is shown that susy provides a unified picture of the original laughlin and mooreread states based on the chargeflux duality we also develop a chernsimons effective field theory for the susy quantum hall effect | [['we', 'review', 'the', 'recent', 'developments', 'of', 'the', 'susy', 'quantum', 'hall', 'effect', 'hepth0409230', 'hepth0411137', 'hepth0503162', 'hepth0606007', 'arxiv07054527', 'we', 'introduce', 'a', 'susy', 'formulation', 'of', 'the', 'quantum', 'hall', 'effect', 'on', 'supermanifolds', 'on', 'each', 'of', 'supersphere', 'and', 'superplane', 'we', 'investigate', 'susy', 'landau', 'problem', 'and', 'explicitly', 'construct', 'susy', 'extensions', 'of', 'laughlin', 'wavefunction', 'and', 'topological', 'excitations', 'the', 'nonanticommutative', 'geometry', 'naturally', 'emerges', 'in', 'the', 'lowest', 'landau', 'level', 'and', 'brings', 'particular', 'physics', 'to', 'the', 'susy', 'quantum', 'hall', 'effect', 'it', 'is', 'shown', 'that', 'susy', 'provides', 'a', 'unified', 'picture', 'of', 'the', 'original', 'laughlin', 'and', 'mooreread', 'states', 'based', 'on', 'the', 'chargeflux', 'duality', 'we', 'also', 'develop', 'a', 'chernsimons', 'effective', 'field', 'theory', 'for', 'the', 'susy', 'quantum', 'hall', 'effect']] | [-0.14713994827470742, 0.23337121868506075, -0.12447700370103121, 0.14307150511653163, -0.1014208467118442, -0.16284158825408668, 0.00834942597313784, 0.26156897072913127, -0.19735375201329589, -0.2577076358348131, 0.005697614016244188, -0.21422028528526427, -0.23948295471258463, 0.11337576506659389, -0.061669988790526986, 0.07292962143197655, -0.03629206428304314, -0.029938198318704964, -0.1052660387614742, -0.2625886563700624, 0.30468272846657785, 0.01335126002319157, 0.2715664149448276, 0.10838351231417619, 0.13067714408040046, 0.03526618064031936, 0.059705112921074034, -0.004918503002263605, -0.18128229837901016, 0.1004029349744087, 0.23190257196780295, -0.002304079229943454, 0.1621457001939416, -0.42735546400770547, -0.1679348257314996, 0.002189821721985936, 0.10470601995359174, 0.21791059277253225, -0.03922945623169653, -0.3290724098496139, 0.009705994613468646, -0.23370789292734118, -0.07867018862336408, -0.10120325399562717, -0.020175259604584425, -0.22705669006332754, -0.20725692337495275, 0.1071320265677059, 0.030516576506197452, 0.04546973712742328, -0.02206624539103359, -0.13893585372716188, -0.042712177392095325, 0.016168891666457057, 0.048907516410108653, -0.0010984583557001315, 0.16913767983205616, -0.2275963243190199, -0.2805055877804989, 0.4130457906238735, -0.010636281566694378, -0.22277642088010907, 0.1498791433335282, -0.16925577617250384, -0.1854820630699396, 0.05484848531894386, 0.09623599030368496, 0.05948894993402064, -0.03205746387131512, 0.2615907030896051, -0.08006193195004016, 0.11285275792703033, 0.01703587479889393, 0.12403635866940022, 0.28691125464159994, 0.13303004997724202, 0.05536903815343976, 0.1776125547522679, -0.059359567053616044, -0.1426994122005999, -0.4007503697276115, -0.2055587487667799, -0.1576935180881992, 0.12944873706437648, 0.011413626811263384, -0.17286541718611262, 0.4331090203858912, 0.16540343408938496, 0.16133207036182284, 0.02263847799040377, 0.22230976812075823, 0.16978269810788332, 0.026062346316757613, -0.0038332541938871146, 0.20782684463949408, 0.17804343437775969, 0.09743979469640181, -0.31015012178104373, -0.13435723843402228, 0.18039155238308013] |
710.0217 | Anomalous dimensions of finite size field strength operators in N=4 SYM | In the N=4 super Yang-Mills theory, we consider the higher order anomalous
dimensions gamma_L(g) of purely gluonic operators Tr(F^L) where F is a
component of the self-dual field strength. We propose compact closed
expressions depending parametrically on L that reproduce the prediction of
Bethe Ansatz equations up to five loop order, including transcendental dressing
corrections. The size dependence follows a simple pattern as the perturbative
order is increased and suggests hidden relations for these special operators.
| hep-th | in the n4 super yangmills theory we consider the higher order anomalous dimensions gamma_lg of purely gluonic operators trfl where f is a component of the selfdual field strength we propose compact closed expressions depending parametrically on l that reproduce the prediction of bethe ansatz equations up to five loop order including transcendental dressing corrections the size dependence follows a simple pattern as the perturbative order is increased and suggests hidden relations for these special operators | [['in', 'the', 'n4', 'super', 'yangmills', 'theory', 'we', 'consider', 'the', 'higher', 'order', 'anomalous', 'dimensions', 'gamma_lg', 'of', 'purely', 'gluonic', 'operators', 'trfl', 'where', 'f', 'is', 'a', 'component', 'of', 'the', 'selfdual', 'field', 'strength', 'we', 'propose', 'compact', 'closed', 'expressions', 'depending', 'parametrically', 'on', 'l', 'that', 'reproduce', 'the', 'prediction', 'of', 'bethe', 'ansatz', 'equations', 'up', 'to', 'five', 'loop', 'order', 'including', 'transcendental', 'dressing', 'corrections', 'the', 'size', 'dependence', 'follows', 'a', 'simple', 'pattern', 'as', 'the', 'perturbative', 'order', 'is', 'increased', 'and', 'suggests', 'hidden', 'relations', 'for', 'these', 'special', 'operators']] | [-0.1764248178433627, 0.19403578121215104, -0.051324322624132036, 0.11656851210010548, -0.11190455357233683, -0.1190555178374052, -0.0025659381924197076, 0.28168898858129976, -0.18385418081035218, -0.243172195777297, 0.06665646141239752, -0.29383160395237307, -0.158024562180993, 0.13114737497021756, 0.03286106047530969, 0.025026879130552213, -0.037733248795072234, 0.1113486019273599, -0.14526038159616292, -0.2342083811806515, 0.36251825756393374, -0.032538682346542676, 0.2458846799035867, 0.062499180076022946, 0.10048416469246149, -0.0033158548021068176, -0.0190160856815055, 0.007224750642975172, -0.11235893379014063, 0.10889654816283534, 0.21802055978526672, 0.023115786568572123, 0.1492791004603108, -0.4165128334860007, -0.18961605190609893, 0.07387655676652988, 0.203119605705142, 0.10939205799872677, 0.057652351444897554, -0.2186430347058922, 0.0487391375657171, -0.20284962289035322, -0.21879761054956665, -0.11585625937208534, 0.05783865583594888, -0.05139020358522733, -0.3133372962847352, 0.0713627917629977, 0.04981982677554091, 0.06368909511715173, -0.020935638959830007, -0.12250411505966137, -0.027595800142735244, 0.09109201704462369, 0.05599611336520562, 0.06968756734083097, 0.10479429580892126, -0.18370403472023705, -0.13094013415277003, 0.34131315894424913, -0.11174520281298707, -0.20153266061407824, 0.12272020536785325, -0.18445310957729816, -0.1540517826129993, 0.12577120214545479, 0.1449997871927917, 0.16449427135909597, -0.12455196471884847, 0.19827324179233982, -0.047455351625879605, 0.1734231256445249, 0.09082844307025274, 0.02987200491130352, 0.14589850860647857, 0.09805180273173998, 0.018855744985242683, 0.16997976383194327, -0.00017322726858158907, -0.11792999590436617, -0.39139809464414915, -0.07364835585157077, -0.08839603397995234, 0.09010486130913099, -0.1729959294073827, -0.20314233652626476, 0.3705260493668417, 0.12053593749801318, 0.16759673881654938, 0.07195656072969238, 0.21807756592830022, 0.21661894337118914, 0.11522929696987072, 0.06737642767528693, 0.19345996387302875, 0.20594004749010006, 0.03374868241449197, -0.2745186272573968, -0.052189879721651476, 0.18772324352835615] |
710.0218 | An affine sphere equation associated to Einstein toric surfaces | As seen in the works of Calabi, Cheng-Yau and Loftin, affine sphere equations
have a close relationship with Kaehler-Einstein metrics. The main purpose of
this note is to show that an equation analogous to those of hyperbolic affine
spheres arises naturally from Kaehler-Einstein metrics on Einstein toric
surfaces. The case for the remaining toric surfaces with Kaehler-Ricci solitons
will also be discussed.
| math.DG math.CV | as seen in the works of calabi chengyau and loftin affine sphere equations have a close relationship with kaehlereinstein metrics the main purpose of this note is to show that an equation analogous to those of hyperbolic affine spheres arises naturally from kaehlereinstein metrics on einstein toric surfaces the case for the remaining toric surfaces with kaehlerricci solitons will also be discussed | [['as', 'seen', 'in', 'the', 'works', 'of', 'calabi', 'chengyau', 'and', 'loftin', 'affine', 'sphere', 'equations', 'have', 'a', 'close', 'relationship', 'with', 'kaehlereinstein', 'metrics', 'the', 'main', 'purpose', 'of', 'this', 'note', 'is', 'to', 'show', 'that', 'an', 'equation', 'analogous', 'to', 'those', 'of', 'hyperbolic', 'affine', 'spheres', 'arises', 'naturally', 'from', 'kaehlereinstein', 'metrics', 'on', 'einstein', 'toric', 'surfaces', 'the', 'case', 'for', 'the', 'remaining', 'toric', 'surfaces', 'with', 'kaehlerricci', 'solitons', 'will', 'also', 'be', 'discussed']] | [-0.1566456688207484, 0.030145568899188808, -0.08800661023105344, 0.11168176997753401, -0.08637543715115997, -0.16413893330571871, -0.09777387350256886, 0.34048735120919565, -0.24793567071338335, -0.2116095137241627, 0.12286271811876025, -0.3066975195711899, -0.2143146417614433, 0.22142342630127865, -0.21104172856036213, -0.005381473940947364, 0.054454846330167304, 0.04725266842081422, -0.13932464830952906, -0.32905961264811096, 0.48823003518965935, 0.012991256861677092, 0.24362025400924106, 0.09712478985649443, 0.09820761195113582, -0.04129773923646538, 0.01653728913785721, 0.04452690402526529, -0.21230957863325225, 0.10585827960242186, 0.30705590852566306, 0.03197385207749903, 0.11301972594998416, -0.3709109284043793, -0.21544216385471723, 0.14636638910028962, 0.12806703630954988, 0.08332720615210072, -0.023474523491571628, -0.2849742390418185, 0.032936333408278805, -0.0779120875597601, -0.24530436860157118, -0.02740787449593265, 0.007971350159946709, 0.06610002293581924, -0.11658606401854946, 0.010134667086306089, 0.1283428278871842, 0.038972144488305334, -0.10777660546403739, -0.09570634480746042, -0.0758381369974344, 0.055580146047436906, 0.09290927778478832, 0.08497217478561064, 0.06385221670291596, -0.0529830924614573, -0.12138404285595301, 0.40371783471275724, -0.10188059818239943, -0.29439755991822286, 0.14133774293511506, -0.10199158238772783, -0.12265617420686589, 0.13918858513821877, 0.14137286601978685, 0.16650843444550711, -0.0653830433504716, 0.13306855623546476, -0.08997492660437861, 0.07513146815941699, 0.12634160458260485, -0.057126551693786054, 0.1633766213687317, 0.0886323086226419, 0.09528305348489553, 0.14750123997181352, 0.008721415693270824, -0.11631409594068123, -0.35291344231940924, -0.2168724575650788, -0.1069495449173114, 0.18513344839635876, -0.112397194193862, -0.1725488781568504, 0.304048880514118, -0.006959042675237382, 0.18262780695072106, 0.09409490501463053, 0.22217083686301786, 0.015395108372866806, 0.03657668414375474, 0.08727460107465665, 0.23528090346183989, 0.18565757697327964, 0.05285640073669774, -0.12990865374599853, -0.08262692912361555, 0.15486733699142333] |
710.0219 | Exact thermodynamics of a planar array of Ginzburg-Landau chains with nn
and nnn interactions | The exact expression of the free energy of a planar array of a
Ginzburg-Landau chains with nn and nnn interaction is obtained. The critical
behaviour of the specific heat is not qualitatively modified by taking into
account the nnn interaction.
| cond-mat.stat-mech | the exact expression of the free energy of a planar array of a ginzburglandau chains with nn and nnn interaction is obtained the critical behaviour of the specific heat is not qualitatively modified by taking into account the nnn interaction | [['the', 'exact', 'expression', 'of', 'the', 'free', 'energy', 'of', 'a', 'planar', 'array', 'of', 'a', 'ginzburglandau', 'chains', 'with', 'nn', 'and', 'nnn', 'interaction', 'is', 'obtained', 'the', 'critical', 'behaviour', 'of', 'the', 'specific', 'heat', 'is', 'not', 'qualitatively', 'modified', 'by', 'taking', 'into', 'account', 'the', 'nnn', 'interaction']] | [-0.20974033810198306, 0.16016079299151897, -0.04746491746045649, 0.09227152395178564, -0.04068739213980734, -0.16830005932133646, 0.03196196970529854, 0.3219633201602846, -0.22812328496947884, -0.28625691775232553, 0.022731695044785737, -0.30446592466905714, -0.10804217411205172, 0.141800803411752, 0.14640556168742477, -0.015703900647349656, 0.06402984703890979, 0.10732181430794299, -0.03230537519557401, -0.16341553013771773, 0.3204050428234041, 0.043700992758385834, 0.25715632941573857, 0.12162835078779607, 0.05786713142879307, 0.08458349087159149, 0.10080678764497861, 0.07780481405789033, -0.18319973954930902, 0.10373299567727372, 0.17722272989631166, -0.030731789371930062, 0.1697368404828012, -0.46835365192964673, -0.2252941800514236, 0.07740494325989858, 0.1516725548543036, 0.13127847756259142, 0.021055280102882535, -0.3139171148650348, 0.0061345324385911225, -0.18916604053229094, -0.1171737635624595, -0.0225873019779101, 0.023495390568859874, 0.1254746850579977, -0.2830197326024063, 0.07125185076147318, 0.11650184311438352, 0.01970090966206044, -0.125632574246265, -0.13760967024136334, -0.03396556859370321, 0.1741586636286229, 0.03533420198364183, 0.025887400715146214, 0.07229334113071673, -0.14914778695674613, -0.005656579602509737, 0.36157925098668786, -0.055326743284240365, -0.1932968782261014, 0.12821410745382308, -0.11280670944834129, -0.048528175544925035, 0.16545813204720616, 0.0706384907476604, 0.02593518220819533, -0.22084744481835514, 0.17169817705726018, 0.03868950927862898, 0.14593693572096528, 0.008542696246877313, -0.06679758937098086, 0.15534618224482982, 0.21888691917993128, -0.002233307994902134, 0.22364678937010468, -0.07650469018844888, -0.14749524740036576, -0.303703460842371, -0.09223182728455867, -0.22524605157086625, 0.06958963641118317, -0.15742859615675114, -0.18589375647716225, 0.38449736228212716, 0.08567574787339254, 0.205538328923285, 0.032171631860546765, 0.25296576945111154, 0.18255500914528966, 0.10663216409739107, -0.004053782299160957, 0.24350589122623206, 0.12815463090664708, 0.08319388371892274, -0.29978483833838254, 0.04027046305127442, 0.10661960747092962] |
710.022 | Can magnetism-assisted quasiperiodic structures in Russell-FeS `bubbles'
offer a quantum coherent origin of life? | This paper seeks to expand the scope of the alkaline seepage site
hydrothermal mound scenario of Russell et al, by appealing to its wider canvas
for hypothesizing self-assembly of gregite clusters via interplay of forces
within the gel phase of FeS membranes: directed heat transport a la
Rayleigh-Benard convection for dissociation, vs oriented attachment (small
clusters) and magnetic forces (large clusters) for association, the latter
assisted by magnetic mound constituents. The directed movement of tiny clusters
through cluster layers are reminiscent of processes like budding, molecular
motors, pre-RNA world on the lines of Cairns-Smith's hypothesis, and optical
polarity. Higher rate of (soft) multinucleate formation vs growth rate of
(rigid) microcrystals, correlates with icosahedral (forbidden
crystallographically!) framboidal morphology. This pattern indicates a link to
phylotaxis, thus reinforcing the quasi-periodicity connection which can provide
a natural access to features like surface limit, anomalous transport and low
thermal conductivity, while facilitating diffusion through clusters. And
magnetism offers a hierarchy of features: primordial multicellularity; phase
correlations of assembled molecules; overcoming thermal decoherence. These
dynamical nested structures offer possibilities for iterative computations,
adaptive learning, and coherent quantum searches. The link between enzymatic
FeS clusters and the Hadean ocean floor is seen as part of a larger conceptual
framework uncovering a role for Magnetism and the Origin of Life.
| cond-mat.soft physics.bio-ph quant-ph | this paper seeks to expand the scope of the alkaline seepage site hydrothermal mound scenario of russell et al by appealing to its wider canvas for hypothesizing selfassembly of gregite clusters via interplay of forces within the gel phase of fes membranes directed heat transport a la rayleighbenard convection for dissociation vs oriented attachment small clusters and magnetic forces large clusters for association the latter assisted by magnetic mound constituents the directed movement of tiny clusters through cluster layers are reminiscent of processes like budding molecular motors prerna world on the lines of cairnssmiths hypothesis and optical polarity higher rate of soft multinucleate formation vs growth rate of rigid microcrystals correlates with icosahedral forbidden crystallographically framboidal morphology this pattern indicates a link to phylotaxis thus reinforcing the quasiperiodicity connection which can provide a natural access to features like surface limit anomalous transport and low thermal conductivity while facilitating diffusion through clusters and magnetism offers a hierarchy of features primordial multicellularity phase correlations of assembled molecules overcoming thermal decoherence these dynamical nested structures offer possibilities for iterative computations adaptive learning and coherent quantum searches the link between enzymatic fes clusters and the hadean ocean floor is seen as part of a larger conceptual framework uncovering a role for magnetism and the origin of life | [['this', 'paper', 'seeks', 'to', 'expand', 'the', 'scope', 'of', 'the', 'alkaline', 'seepage', 'site', 'hydrothermal', 'mound', 'scenario', 'of', 'russell', 'et', 'al', 'by', 'appealing', 'to', 'its', 'wider', 'canvas', 'for', 'hypothesizing', 'selfassembly', 'of', 'gregite', 'clusters', 'via', 'interplay', 'of', 'forces', 'within', 'the', 'gel', 'phase', 'of', 'fes', 'membranes', 'directed', 'heat', 'transport', 'a', 'la', 'rayleighbenard', 'convection', 'for', 'dissociation', 'vs', 'oriented', 'attachment', 'small', 'clusters', 'and', 'magnetic', 'forces', 'large', 'clusters', 'for', 'association', 'the', 'latter', 'assisted', 'by', 'magnetic', 'mound', 'constituents', 'the', 'directed', 'movement', 'of', 'tiny', 'clusters', 'through', 'cluster', 'layers', 'are', 'reminiscent', 'of', 'processes', 'like', 'budding', 'molecular', 'motors', 'prerna', 'world', 'on', 'the', 'lines', 'of', 'cairnssmiths', 'hypothesis', 'and', 'optical', 'polarity', 'higher', 'rate', 'of', 'soft', 'multinucleate', 'formation', 'vs', 'growth', 'rate', 'of', 'rigid', 'microcrystals', 'correlates', 'with', 'icosahedral', 'forbidden', 'crystallographically', 'framboidal', 'morphology', 'this', 'pattern', 'indicates', 'a', 'link', 'to', 'phylotaxis', 'thus', 'reinforcing', 'the', 'quasiperiodicity', 'connection', 'which', 'can', 'provide', 'a', 'natural', 'access', 'to', 'features', 'like', 'surface', 'limit', 'anomalous', 'transport', 'and', 'low', 'thermal', 'conductivity', 'while', 'facilitating', 'diffusion', 'through', 'clusters', 'and', 'magnetism', 'offers', 'a', 'hierarchy', 'of', 'features', 'primordial', 'multicellularity', 'phase', 'correlations', 'of', 'assembled', 'molecules', 'overcoming', 'thermal', 'decoherence', 'these', 'dynamical', 'nested', 'structures', 'offer', 'possibilities', 'for', 'iterative', 'computations', 'adaptive', 'learning', 'and', 'coherent', 'quantum', 'searches', 'the', 'link', 'between', 'enzymatic', 'fes', 'clusters', 'and', 'the', 'hadean', 'ocean', 'floor', 'is', 'seen', 'as', 'part', 'of', 'a', 'larger', 'conceptual', 'framework', 'uncovering', 'a', 'role', 'for', 'magnetism', 'and', 'the', 'origin', 'of', 'life']] | [-0.13944405071043336, 0.20715306777856313, -0.034919768052462205, 0.06606987195587302, -0.0797316197503488, -0.10986926807639136, 0.1203168799821959, 0.34762799642899506, -0.2916490093697436, -0.31662165672213843, 0.026715836769793756, -0.24376508753406456, -0.16268371207003768, 0.14850642149506782, -0.0074738952266321015, -0.021540648868372394, 0.034948273069368534, -0.06125692010489449, 0.019788727868917003, -0.18673013940077418, 0.2657949499105318, 0.11929590765178616, 0.28884869491706083, 0.055894535678537347, 0.06167159045141419, -0.03287953295568094, 0.014459431681293959, 0.011406339606485115, -0.14183292271739517, 0.13300294697434695, 0.22518705804899442, 0.04771397679668063, 0.21351690425609166, -0.4780562643427402, -0.2622463490960609, 0.05091488679429928, 0.1817228835057344, 0.09409470540133323, -0.08973775558283356, -0.25630701751484036, 0.030661795483096145, -0.1365027357228078, -0.12519648671262146, -0.042213688907885134, 0.030552741955034435, 0.01956675443775916, -0.22041635207670668, 0.1418558953491111, 0.07150863877499293, 0.12206278922866869, -0.0849112746593444, -0.10658867046899664, -0.06080073227573079, 0.12438265073685145, -0.005130415755502327, 0.0018363454146310687, 0.24559427476756704, -0.15022931475071416, -0.11658632659908527, 0.39203585326993984, -0.013043062851535909, -0.08124002914589185, 0.2568121542706369, -0.12845656164441047, -0.12679847892118581, 0.17070317351569358, 0.14288641955219925, 0.07990341441920744, -0.15697969159541222, 0.022921732572425614, 0.00387791410769121, 0.14022680107210853, 0.0935041918956603, 0.0076566307599513, 0.3009355172040299, 0.2361432533361949, 0.04003841167846426, 0.14962696303560874, -0.10313111299630971, -0.12148706169262788, -0.18896623524778988, -0.1779011309806195, -0.1192040424116735, 0.02460717669376978, -0.10697355043416443, -0.1955794414920652, 0.3250567230391495, 0.07915969666478653, 0.166731541192768, 0.00411370273090702, 0.2314845540688391, -0.004849880906896522, 0.08932350281663905, 0.029799193734876238, 0.21213757647917822, 0.18464546399151843, 0.1372208987830583, -0.2699378249179482, 0.1331629920974732, 0.05841569435814073] |
710.0221 | A Note on Separability of Field Equations in Myers-Perry Spacetimes | We study separability of scalar, vector and tensor fields in 5-dimensional
Myers-Perry spacetimes with equal angular momenta. In these spacetimes, there
exists enlarged symmetry, $U(2) \simeq SU(2) \times U(1)$. Using the group
theoretical method with a twist, we perform the dimensional reduction at the
action level and show that both vector and tensor field equations can be
reduced to coupled ordinary differential equations. We reveal the structure of
couplings between variables. In particular, we have obtained the decoupled
master equations for zero modes of a vector field. The same analysis can be
done for zero modes of a tensor field. Therefore, our formalism gives a basis
for studying stability of Myers-Perry black holes.
| hep-th gr-qc | we study separability of scalar vector and tensor fields in 5dimensional myersperry spacetimes with equal angular momenta in these spacetimes there exists enlarged symmetry u2 simeq su2 times u1 using the group theoretical method with a twist we perform the dimensional reduction at the action level and show that both vector and tensor field equations can be reduced to coupled ordinary differential equations we reveal the structure of couplings between variables in particular we have obtained the decoupled master equations for zero modes of a vector field the same analysis can be done for zero modes of a tensor field therefore our formalism gives a basis for studying stability of myersperry black holes | [['we', 'study', 'separability', 'of', 'scalar', 'vector', 'and', 'tensor', 'fields', 'in', '5dimensional', 'myersperry', 'spacetimes', 'with', 'equal', 'angular', 'momenta', 'in', 'these', 'spacetimes', 'there', 'exists', 'enlarged', 'symmetry', 'u2', 'simeq', 'su2', 'times', 'u1', 'using', 'the', 'group', 'theoretical', 'method', 'with', 'a', 'twist', 'we', 'perform', 'the', 'dimensional', 'reduction', 'at', 'the', 'action', 'level', 'and', 'show', 'that', 'both', 'vector', 'and', 'tensor', 'field', 'equations', 'can', 'be', 'reduced', 'to', 'coupled', 'ordinary', 'differential', 'equations', 'we', 'reveal', 'the', 'structure', 'of', 'couplings', 'between', 'variables', 'in', 'particular', 'we', 'have', 'obtained', 'the', 'decoupled', 'master', 'equations', 'for', 'zero', 'modes', 'of', 'a', 'vector', 'field', 'the', 'same', 'analysis', 'can', 'be', 'done', 'for', 'zero', 'modes', 'of', 'a', 'tensor', 'field', 'therefore', 'our', 'formalism', 'gives', 'a', 'basis', 'for', 'studying', 'stability', 'of', 'myersperry', 'black', 'holes']] | [-0.2073793138121873, 0.17081962568701897, -0.08303013247380082, 0.047749142994922875, -0.0824185173002492, -0.14308960391290948, -0.044637807900399236, 0.31696265811446755, -0.19555332144079482, -0.23216855285310112, 0.07048456213927408, -0.27055439379362933, -0.1224490055872078, 0.13137152722616374, 0.025176333352759588, 0.017625879191389655, 0.03063027709938866, 0.07213681698282275, -0.15050945761695966, -0.23550993284390595, 0.36441699698963, -0.012254620815701453, 0.28116586700543367, -0.0430675161656289, 0.15634921171694202, 0.011482928034775288, 0.016500486670869643, 0.07100113098864007, -0.1274344970133342, 0.07487235428452228, 0.2409495785193666, 0.07245466058694683, 0.16463943284449983, -0.4227971454043831, -0.18875658816443674, 0.08486419070545023, 0.15688170709820315, 0.1575033104951716, -0.031703143580445806, -0.2905066988958392, 0.10550306548685891, -0.1770806112862398, -0.18619081049135563, -0.1609825819990375, -0.00027178949161342026, -0.07785468253686167, -0.2836764453816541, 0.1319679268182511, 0.039181623872641506, 0.06929361863078269, -0.11716975847803122, -0.10849836930236985, -0.0843225443566762, 0.060479705971954144, 0.13291461035749355, 0.03581691350282038, 0.10170540753525344, -0.1425576871599043, -0.1307705072119453, 0.3525835380980135, -0.1301143976439417, -0.30607439908899564, 0.11664013183815816, -0.18316464476231734, -0.11420190461243676, 0.09830140069217742, 0.19312316649881875, 0.1713944077739014, -0.10692016145809909, 0.17241749171820775, -0.019767793822637963, 0.14446701803368278, 0.07868154782933735, 0.032304720260796296, 0.21878422001393233, 0.08582050860777035, 0.032263332324728895, 0.1290302829285342, -0.00544408278177138, -0.11986349951743717, -0.3510372910187044, -0.1811451390857277, -0.10742382193396313, 0.13516338368304964, -0.14522717034290195, -0.13547667171970934, 0.38453889114007483, 0.1080375056444931, 0.17536482660345057, 0.015290106621991217, 0.2168049932530202, 0.16275853693044323, 0.09054857009477847, 0.09386064540759652, 0.26972336539240405, 0.22617820936535377, 0.06801364073875994, -0.22725214053819007, -0.1454911706969142, 0.1111232568695317] |
710.0222 | Dequantized Differential Operators between Tensor Densities as Modules
over the Lie Algebra of Contact Vector Fields | In recent years, algebras and modules of differential operators have been
extensively studied. Equivariant quantization and dequantization establish a
tight link between invariant operators connecting modules of differential
operators on tensor densities, and module morphisms that connect the
corresponding dequantized spaces. In this paper, we investigate dequantized
differential operators as modules over a Lie subalgebra of vector fields that
preserve an additional structure. More precisely, we take an interest in
invariant operators between dequantized spaces, viewed as modules over the Lie
subalgebra of infinitesimal contact or projective contact transformations. The
principal symbols of these invariant operators are invariant tensor fields. We
first provide full description of the algebras of such affine-contact- and
contact-invariant tensor fields. These characterizations allow showing that the
algebra of projective-contact-invariant operators between dequantized spaces
implemented by the same density weight, is generated by the vertical cotangent
lift of the contact form and a generalized contact Hamiltonian. As an
application, we prove a second key-result, which asserts that the Casimir
operator of the Lie algebra of infinitesimal projective contact
transformations, is diagonal. Eventually, this upshot entails that invariant
operators between spaces induced by different density weights, are made up by a
small number of building bricks that force the parameters of the source and
target spaces to verify Diophantine-type equations.
| math.RT math.SG | in recent years algebras and modules of differential operators have been extensively studied equivariant quantization and dequantization establish a tight link between invariant operators connecting modules of differential operators on tensor densities and module morphisms that connect the corresponding dequantized spaces in this paper we investigate dequantized differential operators as modules over a lie subalgebra of vector fields that preserve an additional structure more precisely we take an interest in invariant operators between dequantized spaces viewed as modules over the lie subalgebra of infinitesimal contact or projective contact transformations the principal symbols of these invariant operators are invariant tensor fields we first provide full description of the algebras of such affinecontact and contactinvariant tensor fields these characterizations allow showing that the algebra of projectivecontactinvariant operators between dequantized spaces implemented by the same density weight is generated by the vertical cotangent lift of the contact form and a generalized contact hamiltonian as an application we prove a second keyresult which asserts that the casimir operator of the lie algebra of infinitesimal projective contact transformations is diagonal eventually this upshot entails that invariant operators between spaces induced by different density weights are made up by a small number of building bricks that force the parameters of the source and target spaces to verify diophantinetype equations | [['in', 'recent', 'years', 'algebras', 'and', 'modules', 'of', 'differential', 'operators', 'have', 'been', 'extensively', 'studied', 'equivariant', 'quantization', 'and', 'dequantization', 'establish', 'a', 'tight', 'link', 'between', 'invariant', 'operators', 'connecting', 'modules', 'of', 'differential', 'operators', 'on', 'tensor', 'densities', 'and', 'module', 'morphisms', 'that', 'connect', 'the', 'corresponding', 'dequantized', 'spaces', 'in', 'this', 'paper', 'we', 'investigate', 'dequantized', 'differential', 'operators', 'as', 'modules', 'over', 'a', 'lie', 'subalgebra', 'of', 'vector', 'fields', 'that', 'preserve', 'an', 'additional', 'structure', 'more', 'precisely', 'we', 'take', 'an', 'interest', 'in', 'invariant', 'operators', 'between', 'dequantized', 'spaces', 'viewed', 'as', 'modules', 'over', 'the', 'lie', 'subalgebra', 'of', 'infinitesimal', 'contact', 'or', 'projective', 'contact', 'transformations', 'the', 'principal', 'symbols', 'of', 'these', 'invariant', 'operators', 'are', 'invariant', 'tensor', 'fields', 'we', 'first', 'provide', 'full', 'description', 'of', 'the', 'algebras', 'of', 'such', 'affinecontact', 'and', 'contactinvariant', 'tensor', 'fields', 'these', 'characterizations', 'allow', 'showing', 'that', 'the', 'algebra', 'of', 'projectivecontactinvariant', 'operators', 'between', 'dequantized', 'spaces', 'implemented', 'by', 'the', 'same', 'density', 'weight', 'is', 'generated', 'by', 'the', 'vertical', 'cotangent', 'lift', 'of', 'the', 'contact', 'form', 'and', 'a', 'generalized', 'contact', 'hamiltonian', 'as', 'an', 'application', 'we', 'prove', 'a', 'second', 'keyresult', 'which', 'asserts', 'that', 'the', 'casimir', 'operator', 'of', 'the', 'lie', 'algebra', 'of', 'infinitesimal', 'projective', 'contact', 'transformations', 'is', 'diagonal', 'eventually', 'this', 'upshot', 'entails', 'that', 'invariant', 'operators', 'between', 'spaces', 'induced', 'by', 'different', 'density', 'weights', 'are', 'made', 'up', 'by', 'a', 'small', 'number', 'of', 'building', 'bricks', 'that', 'force', 'the', 'parameters', 'of', 'the', 'source', 'and', 'target', 'spaces', 'to', 'verify', 'diophantinetype', 'equations']] | [-0.1957328457446281, 0.10841878059318766, -0.062114804180427675, 0.07305917534977198, -0.08283744980137618, -0.11178078877606562, -0.052371359436351454, 0.36292101577190417, -0.33490279778350324, -0.21612912709658433, 0.09867486591905444, -0.23332851757849787, -0.1808690060562055, 0.17269082998169497, -0.09216600231427167, 0.025039220024787243, 0.06809306157242861, 0.09027462726073628, -0.159949385126016, -0.22483689605876514, 0.46714779884953583, 0.006767576661825712, 0.23986815184665222, 0.02188169555073338, 0.17063515526672182, 0.036225746729732715, -0.04283849982589129, -0.007625551714694926, -0.1194074342464557, 0.13670412776742263, 0.2875517036499722, 0.03694960998726033, 0.19631874706440916, -0.41146954466544444, -0.1322446115603227, 0.1557715720707728, 0.11451376737649774, 0.014287916560369056, 0.006291869785733676, -0.3037840726031434, 0.0572281838172958, -0.20861416273484273, -0.11214525612692038, -0.12444039495894685, 0.055164317459621956, 0.012771507533311488, -0.23708473103082117, 0.004963525307054321, 0.09393145115103661, 0.12110502432499613, -0.10425326456315816, -0.07417892730750499, -0.08950780126088786, 0.12334450297390244, -0.0283707751504456, 0.011479622020297462, 0.14481359896737905, -0.06925011992764969, -0.14880191278810215, 0.31566433883493855, -0.06220845204245831, -0.26722125714378697, 0.11389111794442648, -0.14523462311009921, -0.14547007453871802, 0.0778373033905934, 0.11204722167569257, 0.12051323813003754, -0.11466586294922135, 0.16611357268134486, -0.08217309065096612, 0.05135334110818803, 0.10682714255637533, 0.033125634464834415, 0.14535325383878359, 0.06933205991406881, 0.10519718896109788, 0.12478022715298548, 0.05335794782066452, -0.06232927280361764, -0.35859419942079557, -0.208066731571619, -0.10349714108299286, 0.09693383300189107, -0.09770203186600979, -0.16926710531115532, 0.3890720920847906, 0.09970105586218692, 0.23115461590738656, 0.0881442829351207, 0.22088342890409488, 0.10586092236501697, 0.162120470843677, 0.04170205529468755, 0.1814048993445578, 0.27273646146169905, 0.02544293699597585, -0.11537511192519949, -0.03341810369318063, 0.18361217590891535] |
710.0223 | Topological expansion and boundary conditions | In this article, we compute the topological expansion of all possible
mixed-traces in a hermitian two matrix model. In other words we give a recipe
to compute the number of discrete surfaces of given genus, carrying an Ising
model, and with all possible given boundary conditions. The method is
recursive, and amounts to recursively cutting surfaces along interfaces. The
result is best represented in a diagrammatic way, and is thus rather simple to
use.
| hep-th math-ph math.MP | in this article we compute the topological expansion of all possible mixedtraces in a hermitian two matrix model in other words we give a recipe to compute the number of discrete surfaces of given genus carrying an ising model and with all possible given boundary conditions the method is recursive and amounts to recursively cutting surfaces along interfaces the result is best represented in a diagrammatic way and is thus rather simple to use | [['in', 'this', 'article', 'we', 'compute', 'the', 'topological', 'expansion', 'of', 'all', 'possible', 'mixedtraces', 'in', 'a', 'hermitian', 'two', 'matrix', 'model', 'in', 'other', 'words', 'we', 'give', 'a', 'recipe', 'to', 'compute', 'the', 'number', 'of', 'discrete', 'surfaces', 'of', 'given', 'genus', 'carrying', 'an', 'ising', 'model', 'and', 'with', 'all', 'possible', 'given', 'boundary', 'conditions', 'the', 'method', 'is', 'recursive', 'and', 'amounts', 'to', 'recursively', 'cutting', 'surfaces', 'along', 'interfaces', 'the', 'result', 'is', 'best', 'represented', 'in', 'a', 'diagrammatic', 'way', 'and', 'is', 'thus', 'rather', 'simple', 'to', 'use']] | [-0.12928549605995826, 0.11541253720806459, -0.08290135887553533, 0.04526900451260377, -0.10920320528763512, -0.13469357766236548, 0.05448706937979345, 0.387059097369648, -0.2856647576881598, -0.27667523333037347, 0.05480046288990607, -0.2612986738908373, -0.17088356218619705, 0.20191422388777264, -0.0636484336860682, 0.047575002450062194, 0.021902342129192533, 0.0450437140510711, -0.09331189656202771, -0.2835901127554068, 0.333750007591172, -0.011478541623035523, 0.2238269300544507, 0.06368193623597083, 0.08629675202505434, 0.005640437711693653, -0.028493149843934463, 0.016798742715116232, -0.12862750605922446, 0.1593890439380879, 0.251229412024458, 0.09084164950843543, 0.17406342494977664, -0.4540667476464216, -0.16751153029067672, 0.12094843042823039, 0.12033427212616965, 0.15462388478423636, -0.009551573787139703, -0.18303557880835175, 0.09344493241802063, -0.1853703761390372, -0.15953263589372374, -0.0839888403887465, 0.0033391187069554853, -0.035439466234704814, -0.24469488959644653, 0.018590366301981555, 0.061677233175668, 0.05991298695133157, -0.03995267210579286, -0.07783436583201975, -0.021182372553707803, 0.13781974112538442, 0.010319505129264642, 0.05045962577991902, 0.041580311086488096, -0.12429323227923006, -0.10733578765560707, 0.3839511017455426, -0.05846167410315614, -0.26237785685743675, 0.19197345343864944, -0.10367869908525927, -0.11629993333289884, 0.10930320780009847, 0.11769261042753311, 0.1603933136195761, -0.16865445796578918, 0.09362707920500064, -0.05659459786304617, 0.10498941652731944, 0.07255187907498585, -0.04268327439586594, 0.18780329871973764, 0.12833396602447514, 0.08807913350796148, 0.1936677499133647, -0.020805033375126347, -0.0907437091498725, -0.3344107487634437, -0.21975760940105132, -0.20278478397554017, 0.042552469680978824, -0.1018300713799425, -0.23996537145584412, 0.42406695346309714, 0.15609725877285413, 0.25731239464031913, 0.09209613355310405, 0.27344459226380474, 0.10715761276804013, 0.035746650106898724, 0.07895185059089571, 0.10136766828060763, 0.1372283936210283, 0.0011109828897943235, -0.12665765591552608, 0.03915676301702449, 0.16095437631266166] |
710.0224 | Extension and estimation of correlations in Cold Dark Matter models | We discuss the large scale properties of standard cold dark matter
cosmological models characterizing the main features of the power-spectrum, of
the two-point correlation function and of the mass variance. Both the
real-space statistics have a very well defined behavior on large enough scales,
where their amplitudes become smaller than unity. The correlation function, in
the range 0<\xi(r)<1, is characterized by a typical length-scale r_c, at which
\xi(r_c)=0, which is fixed by the physics of the early universe: beyond this
scale it becomes negative, going to zero with a tail proportional to -(r^{-4}).
These anti-correlations represent thus an important observational challenge to
verify models in real space. The same length scale r_c characterizes the
behavior of the mass variance which decays, for r>r_c, as r^{-4}, the fastest
decay for any mass distribution. The length-scale r_c defines the maximum
extension of (positively correlated) structures in these models. These are the
features expected for the dark matter field: galaxies, which represent a biased
field, however may have differences with respect to these behaviors, which we
analyze. We then discuss the detectability of these real space features by
considering several estimators of the two-point correlation function. By making
tests on numerical simulations we emphasize the important role of finite size
effects which should always be controlled for careful measurements.
| astro-ph | we discuss the large scale properties of standard cold dark matter cosmological models characterizing the main features of the powerspectrum of the twopoint correlation function and of the mass variance both the realspace statistics have a very well defined behavior on large enough scales where their amplitudes become smaller than unity the correlation function in the range 0xir1 is characterized by a typical lengthscale r_c at which xir_c0 which is fixed by the physics of the early universe beyond this scale it becomes negative going to zero with a tail proportional to r4 these anticorrelations represent thus an important observational challenge to verify models in real space the same length scale r_c characterizes the behavior of the mass variance which decays for rr_c as r4 the fastest decay for any mass distribution the lengthscale r_c defines the maximum extension of positively correlated structures in these models these are the features expected for the dark matter field galaxies which represent a biased field however may have differences with respect to these behaviors which we analyze we then discuss the detectability of these real space features by considering several estimators of the twopoint correlation function by making tests on numerical simulations we emphasize the important role of finite size effects which should always be controlled for careful measurements | [['we', 'discuss', 'the', 'large', 'scale', 'properties', 'of', 'standard', 'cold', 'dark', 'matter', 'cosmological', 'models', 'characterizing', 'the', 'main', 'features', 'of', 'the', 'powerspectrum', 'of', 'the', 'twopoint', 'correlation', 'function', 'and', 'of', 'the', 'mass', 'variance', 'both', 'the', 'realspace', 'statistics', 'have', 'a', 'very', 'well', 'defined', 'behavior', 'on', 'large', 'enough', 'scales', 'where', 'their', 'amplitudes', 'become', 'smaller', 'than', 'unity', 'the', 'correlation', 'function', 'in', 'the', 'range', '0xir1', 'is', 'characterized', 'by', 'a', 'typical', 'lengthscale', 'r_c', 'at', 'which', 'xir_c0', 'which', 'is', 'fixed', 'by', 'the', 'physics', 'of', 'the', 'early', 'universe', 'beyond', 'this', 'scale', 'it', 'becomes', 'negative', 'going', 'to', 'zero', 'with', 'a', 'tail', 'proportional', 'to', 'r4', 'these', 'anticorrelations', 'represent', 'thus', 'an', 'important', 'observational', 'challenge', 'to', 'verify', 'models', 'in', 'real', 'space', 'the', 'same', 'length', 'scale', 'r_c', 'characterizes', 'the', 'behavior', 'of', 'the', 'mass', 'variance', 'which', 'decays', 'for', 'rr_c', 'as', 'r4', 'the', 'fastest', 'decay', 'for', 'any', 'mass', 'distribution', 'the', 'lengthscale', 'r_c', 'defines', 'the', 'maximum', 'extension', 'of', 'positively', 'correlated', 'structures', 'in', 'these', 'models', 'these', 'are', 'the', 'features', 'expected', 'for', 'the', 'dark', 'matter', 'field', 'galaxies', 'which', 'represent', 'a', 'biased', 'field', 'however', 'may', 'have', 'differences', 'with', 'respect', 'to', 'these', 'behaviors', 'which', 'we', 'analyze', 'we', 'then', 'discuss', 'the', 'detectability', 'of', 'these', 'real', 'space', 'features', 'by', 'considering', 'several', 'estimators', 'of', 'the', 'twopoint', 'correlation', 'function', 'by', 'making', 'tests', 'on', 'numerical', 'simulations', 'we', 'emphasize', 'the', 'important', 'role', 'of', 'finite', 'size', 'effects', 'which', 'should', 'always', 'be', 'controlled', 'for', 'careful', 'measurements']] | [-0.11227506091252457, 0.1724735135109861, -0.10968380929928308, 0.1479159288927608, -0.043738366956561456, -0.10187445284263448, -0.039009394498964095, 0.32326658411282244, -0.25678998199683206, -0.3126929042086758, 0.09803439448663756, -0.2781922267880465, -0.10241148177921668, 0.18668258364234014, 0.03183801291253696, 0.04276301355153392, -0.018105581263515438, 0.01647794636828111, -0.08390079482206117, -0.22913203371697427, 0.33936180468299426, 0.08273734654970119, 0.2453374353274986, 0.047962856261390394, 0.04826713809210407, -0.030754910362830002, -0.05774776856023296, 0.05211530119712708, -0.16064812765942527, 0.052606809357720836, 0.20277126209395782, 0.09256861290228596, 0.27092072735192413, -0.36402720669458544, -0.21498890147951352, 0.14834955687826135, 0.17804398039240546, 0.0773245680361342, -0.018539286865395816, -0.26307703035113306, 0.07597807413793961, -0.1298989761467353, -0.1384330392406087, -0.05087846167881703, 0.048761175355708626, 0.029147393025009606, -0.25356772139442163, 0.12248420231174852, 0.0031347891025323526, 0.027860162455466724, -0.028760684033960243, -0.12656724074350617, 0.0001859582501472296, 0.11577656724387954, 0.09401548899917986, 0.011249414020627041, 0.16449561101497612, -0.18103443665721533, -0.0427222621105459, 0.378947045904297, -0.08012695090523453, -0.16963406905279468, 0.1812111992523875, -0.1884332472919791, -0.11893551209810947, 0.10046807797865019, 0.16389176552401524, 0.09311944022818217, -0.10423815477134607, 0.07818817301782797, -0.009591103388893062, 0.19402907859473098, 0.026288503056357257, 0.07403909773609349, 0.27600009983979934, 0.15611275196049326, 0.04953083849216106, 0.08629737127622346, -0.1052324258010817, -0.10036042649581785, -0.3293848098582092, -0.11446962846773807, -0.19084845366887748, 0.028847022630518006, -0.15060454028408057, -0.18791648057272015, 0.3774473869250478, 0.16854472826376435, 0.25671036200049535, 0.10398408186852619, 0.2712444782640054, 0.12577658347572226, 0.11715577672361875, 0.061866520827845016, 0.25962362475540907, 0.11164352222548136, 0.056299048547728735, -0.23761683432864042, 0.07192134289462641, 0.013693165443141326] |
710.0225 | On the role of autocorrelations in texts | The task of finding a criterion allowing to distinguish a text from an
arbitrary set of words is rather relevant in itself, for instance, in the
aspect of development of means for internet-content indexing or separating
signals and noise in communication channels. The Zipf law is currently
considered to be the most reliable criterion of this kind [3]. At any rate,
conventional stochastic word sets do not meet this law. The present paper deals
with one of possible criteria based on the determination of the degree of data
compression.
| cs.CL | the task of finding a criterion allowing to distinguish a text from an arbitrary set of words is rather relevant in itself for instance in the aspect of development of means for internetcontent indexing or separating signals and noise in communication channels the zipf law is currently considered to be the most reliable criterion of this kind 3 at any rate conventional stochastic word sets do not meet this law the present paper deals with one of possible criteria based on the determination of the degree of data compression | [['the', 'task', 'of', 'finding', 'a', 'criterion', 'allowing', 'to', 'distinguish', 'a', 'text', 'from', 'an', 'arbitrary', 'set', 'of', 'words', 'is', 'rather', 'relevant', 'in', 'itself', 'for', 'instance', 'in', 'the', 'aspect', 'of', 'development', 'of', 'means', 'for', 'internetcontent', 'indexing', 'or', 'separating', 'signals', 'and', 'noise', 'in', 'communication', 'channels', 'the', 'zipf', 'law', 'is', 'currently', 'considered', 'to', 'be', 'the', 'most', 'reliable', 'criterion', 'of', 'this', 'kind', '3', 'at', 'any', 'rate', 'conventional', 'stochastic', 'word', 'sets', 'do', 'not', 'meet', 'this', 'law', 'the', 'present', 'paper', 'deals', 'with', 'one', 'of', 'possible', 'criteria', 'based', 'on', 'the', 'determination', 'of', 'the', 'degree', 'of', 'data', 'compression']] | [-0.13544946429696705, 0.06225072004748323, -0.07076096386034889, 0.051465719493783334, -0.09176030647094277, -0.16222072613891214, 0.09019105247385927, 0.3167570246891542, -0.2873247908706121, -0.29807211085095664, 0.11554898805942768, -0.2530018556069329, -0.09976683935647915, 0.22864913827652344, -0.09475591335318644, 0.052078371725987053, 0.02980572610183365, 0.09510231106965379, -0.018541500171440104, -0.2292656284883957, 0.3507170940072022, 0.0470815813803876, 0.3066794721261514, 0.017150460345543583, 0.07849464002604443, 0.0037608559941872954, -0.10906113029605793, -0.00537291770292954, -0.10944556224752557, 0.13580588504291055, 0.28581778981341893, 0.1953491864313202, 0.2558397247075019, -0.37642857910726557, -0.18732206566280432, 0.14700315288659607, 0.1279961587011216, 0.11777044148005768, -0.009597626770052804, -0.22467148090204733, 0.1240602374455193, -0.1447525148490637, -0.09689779738652181, -0.0223158271136609, 0.03490965206980367, 0.0037528505252504892, -0.3125054287718905, 0.07651211630383675, 0.10982624446676875, 0.07646322986957702, -0.030025041360535066, -0.08975275686349381, 0.07701578798481602, 0.1474664884656456, 0.031969093722926285, 0.026035800861956723, 0.08471008003901014, -0.15709972043987364, -0.12207055211977356, 0.42297624361658975, 0.008216539990495552, -0.220727278417061, 0.1923769664532632, -0.11062452739464458, -0.13825062167597935, 0.11729760754281994, 0.16257323714142496, 0.08482690478641333, -0.19273579676254568, 0.02571011131063146, 0.0026974757889878342, 0.21553101690105078, 0.08538191496733237, 0.04594562259841372, 0.18833432079885493, 0.19187856283546847, 0.08042457355556755, 0.13034092615734236, -0.07811000118487176, -0.05493336057737575, -0.2940439229999108, -0.1744592143540186, -0.20465805449269034, 0.010136599152577797, -0.0985918967971057, -0.18450267218180338, 0.3809645805952393, 0.15234873969827525, 0.188072075147912, 0.06880345903548667, 0.299594258339229, 0.10248892207577724, 0.058811388193755025, 0.04863274607619546, 0.19177390034945513, 0.05962530710332265, 0.08461076609091833, -0.1351112003956752, 0.12721797631291504, 0.06260036406191913] |
710.0226 | How Far Should the Principle of Relativity Go ? | The Principle of Relativity has so far been understood as the {\it
covariance} of laws of Physics with respect to a general class of reference
frame transformations. That relativity, however, has only been expressed with
the help of {\it one single} type of mathematical entities, namely, the scalars
given by the usual continuum of the field $\mathbb{R}$ of real numbers, or by
the usual mathematical structures built upon $\mathbb{R}$, such as the scalars
given by the complex numbers $\mathbb{C}$, or the vectors in finite dimensional
Euclidean spaces $\mathbb{R}^n$, infinite dimensional Hilbert spaces, etc.
This paper argues for {\it progressing deeper and wider} in furthering the
Principle of Relativity, not by mere covariance with respect to reference
frames, but by studying the possible covariance with respect to a {\it large
variety} of algebras of scalars which extend significantly $\mathbb{R}$ or
$\mathbb{C}$, variety of scalars in terms of which various theories of Physics
can equally well be formulated.
First directions in this regard can be found naturally in the simple
Mathematics of Special Relativity, the Bell Inequalities in Quantum Mechanics,
or in the considerable amount of elementary Mathematics in finite dimensional
vector spaces which occurs in Quantum Computation.
The large classes of algebras of scalars suggested, which contain
$\mathbb{R}$ and $\mathbb{C}$ as particular cases, have the important feature
of typically {\it no longer} being Archimedean, see Appendix, a feature which
can prove to be valuable when dealing with the so called "infinities" in
Physics.
The paper has a Comment on the so called "end of time".
| physics.gen-ph | the principle of relativity has so far been understood as the it covariance of laws of physics with respect to a general class of reference frame transformations that relativity however has only been expressed with the help of it one single type of mathematical entities namely the scalars given by the usual continuum of the field mathbbr of real numbers or by the usual mathematical structures built upon mathbbr such as the scalars given by the complex numbers mathbbc or the vectors in finite dimensional euclidean spaces mathbbrn infinite dimensional hilbert spaces etc this paper argues for it progressing deeper and wider in furthering the principle of relativity not by mere covariance with respect to reference frames but by studying the possible covariance with respect to a it large variety of algebras of scalars which extend significantly mathbbr or mathbbc variety of scalars in terms of which various theories of physics can equally well be formulated first directions in this regard can be found naturally in the simple mathematics of special relativity the bell inequalities in quantum mechanics or in the considerable amount of elementary mathematics in finite dimensional vector spaces which occurs in quantum computation the large classes of algebras of scalars suggested which contain mathbbr and mathbbc as particular cases have the important feature of typically it no longer being archimedean see appendix a feature which can prove to be valuable when dealing with the so called infinities in physics the paper has a comment on the so called end of time | [['the', 'principle', 'of', 'relativity', 'has', 'so', 'far', 'been', 'understood', 'as', 'the', 'it', 'covariance', 'of', 'laws', 'of', 'physics', 'with', 'respect', 'to', 'a', 'general', 'class', 'of', 'reference', 'frame', 'transformations', 'that', 'relativity', 'however', 'has', 'only', 'been', 'expressed', 'with', 'the', 'help', 'of', 'it', 'one', 'single', 'type', 'of', 'mathematical', 'entities', 'namely', 'the', 'scalars', 'given', 'by', 'the', 'usual', 'continuum', 'of', 'the', 'field', 'mathbbr', 'of', 'real', 'numbers', 'or', 'by', 'the', 'usual', 'mathematical', 'structures', 'built', 'upon', 'mathbbr', 'such', 'as', 'the', 'scalars', 'given', 'by', 'the', 'complex', 'numbers', 'mathbbc', 'or', 'the', 'vectors', 'in', 'finite', 'dimensional', 'euclidean', 'spaces', 'mathbbrn', 'infinite', 'dimensional', 'hilbert', 'spaces', 'etc', 'this', 'paper', 'argues', 'for', 'it', 'progressing', 'deeper', 'and', 'wider', 'in', 'furthering', 'the', 'principle', 'of', 'relativity', 'not', 'by', 'mere', 'covariance', 'with', 'respect', 'to', 'reference', 'frames', 'but', 'by', 'studying', 'the', 'possible', 'covariance', 'with', 'respect', 'to', 'a', 'it', 'large', 'variety', 'of', 'algebras', 'of', 'scalars', 'which', 'extend', 'significantly', 'mathbbr', 'or', 'mathbbc', 'variety', 'of', 'scalars', 'in', 'terms', 'of', 'which', 'various', 'theories', 'of', 'physics', 'can', 'equally', 'well', 'be', 'formulated', 'first', 'directions', 'in', 'this', 'regard', 'can', 'be', 'found', 'naturally', 'in', 'the', 'simple', 'mathematics', 'of', 'special', 'relativity', 'the', 'bell', 'inequalities', 'in', 'quantum', 'mechanics', 'or', 'in', 'the', 'considerable', 'amount', 'of', 'elementary', 'mathematics', 'in', 'finite', 'dimensional', 'vector', 'spaces', 'which', 'occurs', 'in', 'quantum', 'computation', 'the', 'large', 'classes', 'of', 'algebras', 'of', 'scalars', 'suggested', 'which', 'contain', 'mathbbr', 'and', 'mathbbc', 'as', 'particular', 'cases', 'have', 'the', 'important', 'feature', 'of', 'typically', 'it', 'no', 'longer', 'being', 'archimedean', 'see', 'appendix', 'a', 'feature', 'which', 'can', 'prove', 'to', 'be', 'valuable', 'when', 'dealing', 'with', 'the', 'so', 'called', 'infinities', 'in', 'physics', 'the', 'paper', 'has', 'a', 'comment', 'on', 'the', 'so', 'called', 'end', 'of', 'time']] | [-0.08034611039695982, 0.13317999456033813, -0.05751906407838431, 0.08677532895482842, -0.10185965816453686, -0.151572341413107, -0.02491199677740407, 0.3240003448729513, -0.27558545675389373, -0.26424490878020235, 0.11103800479982665, -0.21200378981737905, -0.14319694639842656, 0.18644476036782245, -0.09111955032056458, 0.043704022293613386, 0.031978993339273405, 0.09448391609957192, -0.08602513079132745, -0.26613841052203785, 0.3520552088015192, 0.013981938885073875, 0.23500431170063754, 0.0017924617231625506, 0.09905068103937198, 0.010247237457871788, -0.04024998825634683, 0.043058276768204264, -0.08491404532142902, 0.11620566741413048, 0.30007482934963164, 0.13321465534601712, 0.2966811019234271, -0.41591978505781785, -0.2433308727459938, 0.15624666394387174, 0.15083239333819612, 0.08004486454626927, -0.01192750978259751, -0.30662782227906477, 0.034424901669514986, -0.15464505745376658, -0.14469215353239534, -0.07708845044280893, 0.04483013289777093, -0.008982661614234845, -0.22302777273305435, 0.04193284961955959, 0.09767606569771237, 0.08340345242282551, -0.015375966876268563, -0.11107313571319967, -0.024075024306139812, 0.07572314740256242, 0.08330276695641095, 0.061101097881236646, 0.08457084290369773, -0.10069962450429522, -0.14132089079467683, 0.4461336081011558, -0.022448571370208753, -0.2583607424364066, 0.18252188930614285, -0.18107597799935032, -0.1510673527620498, 0.08600984580354677, 0.13276834845154245, 0.1259431459511975, -0.11514456303155199, 0.17371426403153994, -0.07407409599872203, 0.10218027552936271, 0.10452813849835767, 0.06662868347828364, 0.2098673725295372, 0.08956410516948095, 0.04624836946063946, 0.10198404174343881, 0.01343130051730362, -0.10989844798537587, -0.3557778486072665, -0.19170814956901375, -0.17576639182264292, 0.09545828234300056, -0.08585491160462028, -0.18558148627616758, 0.36072781253752745, 0.11069875773190022, 0.17411171777841203, 0.04001782359931193, 0.23062486933382947, 0.10133231538173736, 0.12279442016137984, 0.02492424546682283, 0.2244471003616313, 0.14295360467334345, 0.0919726071769269, -0.10409428376803453, 0.02176656391779621, 0.07799550672483403] |
710.0227 | A model for chaotic dielectric microresonators | We develop a random-matrix model of two-dimensional dielectric resonators
which combines internal wave chaos with the deterministic Fresnel laws for
reflection and refraction at the interfaces. The model is used to investigate
the statistics of the laser threshold and line width (lifetime and Petermann
factor of the resonances) when the resonator is filled with an active medium.
The laser threshold decreases for increasing refractive index $n$ and is
smaller for TM polarization than for TE polarization, but is almost independent
of the number of out-coupling modes $N$. The Petermann factor in the line width
of the longest-living resonance also decreases for increasing $n$ and scales as
$\sqrt{N}$, but is less sensitive to polarization. For resonances of
intermediate lifetime, the Petermann factor scales linearly with $N$. These
qualitative parametric dependencies are consistent with the random-matrix
theory of resonators with small openings. However, for a small refractive index
where the resonators are very open, the details of the statistics become
non-universal. This is demonstrated by comparison with a particular dynamical
model.
| physics.optics nlin.CD | we develop a randommatrix model of twodimensional dielectric resonators which combines internal wave chaos with the deterministic fresnel laws for reflection and refraction at the interfaces the model is used to investigate the statistics of the laser threshold and line width lifetime and petermann factor of the resonances when the resonator is filled with an active medium the laser threshold decreases for increasing refractive index n and is smaller for tm polarization than for te polarization but is almost independent of the number of outcoupling modes n the petermann factor in the line width of the longestliving resonance also decreases for increasing n and scales as sqrtn but is less sensitive to polarization for resonances of intermediate lifetime the petermann factor scales linearly with n these qualitative parametric dependencies are consistent with the randommatrix theory of resonators with small openings however for a small refractive index where the resonators are very open the details of the statistics become nonuniversal this is demonstrated by comparison with a particular dynamical model | [['we', 'develop', 'a', 'randommatrix', 'model', 'of', 'twodimensional', 'dielectric', 'resonators', 'which', 'combines', 'internal', 'wave', 'chaos', 'with', 'the', 'deterministic', 'fresnel', 'laws', 'for', 'reflection', 'and', 'refraction', 'at', 'the', 'interfaces', 'the', 'model', 'is', 'used', 'to', 'investigate', 'the', 'statistics', 'of', 'the', 'laser', 'threshold', 'and', 'line', 'width', 'lifetime', 'and', 'petermann', 'factor', 'of', 'the', 'resonances', 'when', 'the', 'resonator', 'is', 'filled', 'with', 'an', 'active', 'medium', 'the', 'laser', 'threshold', 'decreases', 'for', 'increasing', 'refractive', 'index', 'n', 'and', 'is', 'smaller', 'for', 'tm', 'polarization', 'than', 'for', 'te', 'polarization', 'but', 'is', 'almost', 'independent', 'of', 'the', 'number', 'of', 'outcoupling', 'modes', 'n', 'the', 'petermann', 'factor', 'in', 'the', 'line', 'width', 'of', 'the', 'longestliving', 'resonance', 'also', 'decreases', 'for', 'increasing', 'n', 'and', 'scales', 'as', 'sqrtn', 'but', 'is', 'less', 'sensitive', 'to', 'polarization', 'for', 'resonances', 'of', 'intermediate', 'lifetime', 'the', 'petermann', 'factor', 'scales', 'linearly', 'with', 'n', 'these', 'qualitative', 'parametric', 'dependencies', 'are', 'consistent', 'with', 'the', 'randommatrix', 'theory', 'of', 'resonators', 'with', 'small', 'openings', 'however', 'for', 'a', 'small', 'refractive', 'index', 'where', 'the', 'resonators', 'are', 'very', 'open', 'the', 'details', 'of', 'the', 'statistics', 'become', 'nonuniversal', 'this', 'is', 'demonstrated', 'by', 'comparison', 'with', 'a', 'particular', 'dynamical', 'model']] | [-0.14792141863337813, 0.23436592502001818, -0.015587222282967625, 0.004743363405853377, -0.02404614237616577, -0.17140765223526755, 0.01435956006977134, 0.39725913357584786, -0.21732393096713626, -0.30644148848565106, 0.03321826600637728, -0.31282644994424647, -0.09458510315640879, 0.19331077522785572, 0.03222272848950137, 0.07980897681809654, -0.025106835608872082, 0.013952401830207215, 0.00740517149596701, -0.15356663737677523, 0.29968983257057136, 0.09647953198374024, 0.28383061346686145, 0.054810230140767156, 0.05344648951851934, -0.00327413733504415, 0.00048077760605946097, 0.016839466043940838, -0.10480124015807445, 0.09055333988487545, 0.22153714791315018, 0.019401323203486184, 0.23507565907450648, -0.374860480645418, -0.20566281309756368, 0.035033342158476984, 0.1698937886590882, 0.1135261292402638, -0.006103634889397395, -0.22674495774492093, 0.06475158284360422, -0.11432569304938543, -0.17128689761739224, -0.008740171922381813, 0.0705002327697605, 0.011318948558475862, -0.2952892607265323, 0.06012246354098002, 0.036121738586022335, 0.06700427380263717, -0.0010713922251126117, -0.11603776080473244, -0.013393076912351172, 0.05809042518686355, 0.029254507158397967, -0.011566093927194205, 0.1603034635862479, -0.13215644622756134, -0.06576621802193085, 0.36901315626207487, -0.07338716201779547, -0.15513001264971213, 0.13778481270274776, -0.17889369520518553, -0.032438305404985095, 0.1877200888447772, 0.1611114271700151, 0.08663925249405073, -0.041444993204972434, 0.06855372066531033, -0.016068017269955184, 0.26753388390636634, 0.11430554976411296, 0.08255790018878834, 0.1654290859780368, 0.19513454079109976, 0.04736117745843336, 0.13448036089401758, -0.0778327348956166, -0.05539201357892367, -0.27170587810494845, -0.12758626608376408, -0.18114062614419316, 0.038972071891622315, -0.15016500671081087, -0.19921148659354185, 0.38083156370199645, 0.0859956688043722, 0.21780584168416509, 0.06142057107069899, 0.29501651906953935, 0.18006236253226363, 0.0735951528923046, 0.05012663393336508, 0.2805186142075873, 0.18271941809154518, 0.07504699122127609, -0.24499786737479667, 0.02763973407932287, -0.027363535848903584] |
710.0228 | On the fractal nature of mutual relevance sequences in the Internet news
message flows | In the task of information retrieval the term relevance is taken to mean
formal conformity of a document given by the retrieval system to user's
information query. As a rule, the documents found by the retrieval system
should be submitted to the user in a certain order. Therefore, a retrieval
perceived as a selection of documents formally solving the user's query, should
be supplemented with a certain procedure of processing a relevant set. It would
be natural to introduce a quantitative measure of document conformity to query,
i.e. the relevance measure. Since no single rule exists for the determination
of the relevance measure, we shall consider two of them which are the simplest
in our opinion. The proposed approach does not suppose any restrictions and can
be applied to other relevance measures.
| cs.CL | in the task of information retrieval the term relevance is taken to mean formal conformity of a document given by the retrieval system to users information query as a rule the documents found by the retrieval system should be submitted to the user in a certain order therefore a retrieval perceived as a selection of documents formally solving the users query should be supplemented with a certain procedure of processing a relevant set it would be natural to introduce a quantitative measure of document conformity to query ie the relevance measure since no single rule exists for the determination of the relevance measure we shall consider two of them which are the simplest in our opinion the proposed approach does not suppose any restrictions and can be applied to other relevance measures | [['in', 'the', 'task', 'of', 'information', 'retrieval', 'the', 'term', 'relevance', 'is', 'taken', 'to', 'mean', 'formal', 'conformity', 'of', 'a', 'document', 'given', 'by', 'the', 'retrieval', 'system', 'to', 'users', 'information', 'query', 'as', 'a', 'rule', 'the', 'documents', 'found', 'by', 'the', 'retrieval', 'system', 'should', 'be', 'submitted', 'to', 'the', 'user', 'in', 'a', 'certain', 'order', 'therefore', 'a', 'retrieval', 'perceived', 'as', 'a', 'selection', 'of', 'documents', 'formally', 'solving', 'the', 'users', 'query', 'should', 'be', 'supplemented', 'with', 'a', 'certain', 'procedure', 'of', 'processing', 'a', 'relevant', 'set', 'it', 'would', 'be', 'natural', 'to', 'introduce', 'a', 'quantitative', 'measure', 'of', 'document', 'conformity', 'to', 'query', 'ie', 'the', 'relevance', 'measure', 'since', 'no', 'single', 'rule', 'exists', 'for', 'the', 'determination', 'of', 'the', 'relevance', 'measure', 'we', 'shall', 'consider', 'two', 'of', 'them', 'which', 'are', 'the', 'simplest', 'in', 'our', 'opinion', 'the', 'proposed', 'approach', 'does', 'not', 'suppose', 'any', 'restrictions', 'and', 'can', 'be', 'applied', 'to', 'other', 'relevance', 'measures']] | [-0.10455942323085654, 0.027339126561965906, -0.0978482761843638, 0.10238364728425178, -0.1477868633563489, -0.1570764955866969, 0.10630695359555609, 0.3707492697179656, -0.28874126614325424, -0.3103606145631409, 0.09808079832476903, -0.302085616738733, -0.1071002096445723, 0.15290071965533902, -0.10234553387977718, 0.042728031244636935, 0.05898065667310165, 0.14750904182437807, -0.05962946907631263, -0.29914982048935734, 0.31162050058077456, 0.05372627042974769, 0.2904814016285606, 0.0702564888025253, 0.08009558921912685, 0.00987549258791136, -0.08726457494423923, 0.0538216307194847, -0.09193878994097537, 0.11550455581340374, 0.3260117906258639, 0.22379526180553844, 0.31957606183872983, -0.3340998478657143, -0.20602574450965744, 0.11680798514774351, 0.12420827932929211, 0.10220560160991171, -0.029230131711246388, -0.31711081528302393, 0.08912551079023008, -0.17199370255504176, -0.02552983374864032, -0.10069868980667018, 0.029113182879165943, -0.0057550734826222515, -0.30368213556269463, -0.0017267614991093676, 0.08902703137066441, 0.043421098786039336, -0.048297036824585644, -0.04739233661816935, 0.024212686707456174, 0.17027661111205816, 0.03381580702879353, 0.0697052716877255, 0.13716110577242394, -0.12402905900539322, -0.14420122167123764, 0.4890228093347766, -0.05491499221534468, -0.25061015599887027, 0.14603358783025408, -0.09876156963626713, -0.13514846891066004, 0.06716978848403828, 0.15918717469145177, 0.08164420321047532, -0.19708672183509351, 0.012897673916251568, -0.04742967525751076, 0.2221615241891634, 0.04772484614019931, 0.029056814618260516, 0.23895266555447245, 0.15570259726408756, 0.0436165797044382, 0.13197879001866872, -0.03087896933610671, -0.07367105077895703, -0.28114158677106554, -0.16219415596622805, -0.20380983368677058, 0.0042492937311842316, -0.09117203084105947, -0.16602872132859897, 0.35235521841483813, 0.2158372879194124, 0.1968311326786396, 0.028459043588637458, 0.2709711210715768, 0.108142354068894, 0.07984132464237821, 0.015138990181819254, 0.15709131961039297, 0.025957079974680462, 0.14361986624443848, -0.16944440819365394, 0.12603890113744207, 0.04995014493099668] |
710.0229 | Transverse and longitudinal momentum spectra of fermions produced in
strong SU(2) fields | We study the transverse and longitudinal momentum spectra of fermions
produced in a strong, time-dependent non-Abelian SU(2) field. Different
time-dependent field strengths are introduced. The momentum spectra are
calculated for the produced fermion pairs in a kinetic model. The obtained
spectra are similar to the Abelian case, and they display exponential or
polynomial behaviour at high p_T, depending on the given time dependence. We
investigated different color initial conditions and discuss the recognized
scaling properties for both Abelian and SU(2) cases.
| hep-ph | we study the transverse and longitudinal momentum spectra of fermions produced in a strong timedependent nonabelian su2 field different timedependent field strengths are introduced the momentum spectra are calculated for the produced fermion pairs in a kinetic model the obtained spectra are similar to the abelian case and they display exponential or polynomial behaviour at high p_t depending on the given time dependence we investigated different color initial conditions and discuss the recognized scaling properties for both abelian and su2 cases | [['we', 'study', 'the', 'transverse', 'and', 'longitudinal', 'momentum', 'spectra', 'of', 'fermions', 'produced', 'in', 'a', 'strong', 'timedependent', 'nonabelian', 'su2', 'field', 'different', 'timedependent', 'field', 'strengths', 'are', 'introduced', 'the', 'momentum', 'spectra', 'are', 'calculated', 'for', 'the', 'produced', 'fermion', 'pairs', 'in', 'a', 'kinetic', 'model', 'the', 'obtained', 'spectra', 'are', 'similar', 'to', 'the', 'abelian', 'case', 'and', 'they', 'display', 'exponential', 'or', 'polynomial', 'behaviour', 'at', 'high', 'p_t', 'depending', 'on', 'the', 'given', 'time', 'dependence', 'we', 'investigated', 'different', 'color', 'initial', 'conditions', 'and', 'discuss', 'the', 'recognized', 'scaling', 'properties', 'for', 'both', 'abelian', 'and', 'su2', 'cases']] | [-0.14901034208589498, 0.24005177519916568, -0.07814975820458782, 0.1514317608196978, -0.0350158258691936, -0.13175603745068298, -0.06529314164647165, 0.4233818589997144, -0.19921246790226527, -0.2935779504420489, 0.011343911971413979, -0.2543559055890382, -0.018272968828333198, 0.17696820527752055, 0.04737445258339263, 0.03170836535224944, 0.01625027814535079, 0.043065535513983094, -0.10597287147323152, -0.2306645153015622, 0.31124425713938697, -0.013326067540702629, 0.3104075960309049, 0.06389142718327082, 0.09440272682587858, 0.03375743471522942, -0.05144163160182444, 0.04896799419637116, -0.1377835569696294, 0.011349940959962062, 0.18559739998409547, -0.0235594974566297, 0.13637679063335614, -0.3948663597765528, -0.1780371256172657, 0.13189561346568812, 0.12456362074195051, 0.09581641841357873, -0.07967584076722693, -0.2668381099456944, 0.08031836538978013, -0.15479608954585813, -0.15795464887151517, -0.10579490113175577, 0.017048825420738187, 0.03702731506128646, -0.2925648494180936, 0.09391950528470823, 0.01129970318540057, 0.11984762858116517, -0.0855233324404208, -0.14123178164210218, -0.10304880156584176, 0.07978432134863127, 0.09644656716759696, -0.0048002847901510975, 0.1185189307793791, -0.19865394227298688, -0.10053133702388516, 0.36722107592648195, -0.098292697324521, -0.19055800777170118, 0.2057816676657509, -0.18888033978802002, -0.1217161221947107, 0.11420456939491869, 0.1722373335369299, 0.1365005389591794, -0.10174409298939102, 0.1060685033214359, -0.03592628092838474, 0.09700493439514604, 0.061751440768187615, 0.08495436827249733, 0.17834411359127658, 0.05271664925241544, -0.07351561070759033, 0.13967778186463278, -0.07278670482969854, -0.12083641437951613, -0.31561327180652704, -0.09867967974486543, -0.15395076940824956, 0.05820872409004764, -0.08581101894594247, -0.13547806697610168, 0.46290920917979544, 0.08775024278850056, 0.22262548241925276, 0.014439623443593766, 0.2207804938007928, 0.18014827553458787, 0.04126946429756505, 0.07298237987803684, 0.21751282672846206, 0.1704837955120537, 0.12073715039195469, -0.2661744092165688, -0.04512658495065055, 0.08568646181604744] |
710.023 | Marking up lattice QCD configurations and ensembles | QCDml is an XML-based markup language designed for sharing QCD configurations
and ensembles world-wide via the International Lattice Data Grid (ILDG). Based
on the latest release, we present key ingredients of the QCDml in order to
provide some starting points for colleagues in this community to markup
valuable configurations and submit them to the ILDG.
| hep-lat | qcdml is an xmlbased markup language designed for sharing qcd configurations and ensembles worldwide via the international lattice data grid ildg based on the latest release we present key ingredients of the qcdml in order to provide some starting points for colleagues in this community to markup valuable configurations and submit them to the ildg | [['qcdml', 'is', 'an', 'xmlbased', 'markup', 'language', 'designed', 'for', 'sharing', 'qcd', 'configurations', 'and', 'ensembles', 'worldwide', 'via', 'the', 'international', 'lattice', 'data', 'grid', 'ildg', 'based', 'on', 'the', 'latest', 'release', 'we', 'present', 'key', 'ingredients', 'of', 'the', 'qcdml', 'in', 'order', 'to', 'provide', 'some', 'starting', 'points', 'for', 'colleagues', 'in', 'this', 'community', 'to', 'markup', 'valuable', 'configurations', 'and', 'submit', 'them', 'to', 'the', 'ildg']] | [-0.0885717442768784, 0.04518314847477738, -0.06441621298743587, 0.0770927322149839, -0.14319810070940908, -0.10692557551950779, 0.10611720463559735, 0.37910898289871664, -0.22177096575779734, -0.3231604843980299, 0.11925609737089923, -0.328475074666851, -0.05237098896375172, 0.1668016857715798, -0.043587977750850666, 0.06778150519250699, 0.11290902215636002, 0.005285013551090159, 0.026431899096043605, -0.3075156429395923, 0.33224783829009197, 0.15347100679217926, 0.31550033329019567, 0.07311495063158702, 0.04633927991271089, 0.02930418623365321, -0.0884602339235398, -0.09672899106693156, -0.15279910251287357, 0.2170098650111061, 0.30137180996496443, 0.21173735757639525, 0.22416485424311655, -0.46383978187475566, -0.1280471456900485, 0.03783862702197061, 0.08250478859815114, 0.13738855217003598, -0.05856879117386855, -0.29624970362715003, 0.07053593396789061, -0.20837406852757032, -0.1006009979876426, -0.15472147515359916, -0.0019557819227283856, 0.03594886957896205, -0.2840141045821409, -0.08333251479450825, -0.037725519889719644, 0.1381233276904754, 0.0021394335858102116, -0.13339408502896438, 0.0035652004463492698, 0.20557656223481557, -0.025417051106726506, 0.036853462158930754, 0.08330981915746376, -0.09486851861858565, -0.18400405375462658, 0.47768343394657353, 0.01424864606431, -0.14533497048717625, 0.16188278850958734, -0.04106625584217737, -0.20599851433960897, 0.02164176614287327, 0.23123839710188923, 0.027572462493378035, -0.22444456889522527, 0.039296572349245114, -0.0007659519477835241, 0.22452546859968384, 0.028918251904817123, -0.0052336920931373, 0.2650025930466517, 0.20012172434549286, 0.010675723401978964, 0.13468928109713882, -0.013025402645514574, -0.15632940480872146, -0.28183091484572526, -0.10731344157829881, -0.15540420835099691, -0.033850747793210005, -0.03075133884305855, -0.1693131355041603, 0.38561328085807134, 0.21589451586335617, 0.11573829227742159, -0.009031098810428718, 0.31143729592550473, -0.04892016102050273, 0.09965745175151892, 0.10525611050005229, 0.12048145651845876, 0.035757386898797636, 0.22838432058024238, -0.1197467042256217, 0.0004993362510401123, 0.0958050533883133] |
710.0231 | Reply to Comment on ``Spherical 2+p spin-glass model: an analytically
solvable model with a glass-to-glass transition'' | In his Comment, Krakoviack [Phys. Rev. B (2007)] finds that the phase
behavior of the s+p spin-glass model is different from what proposed by
Crisanti and Leuzzi [Phys. Rev. B 73, 014412 (2006)] if s and p are larger than
two and are separated well enough. He proposes a trial picture, based on a one
step replica symmetry breaking solution, displaying a mode-coupling-like
glass-to-glass transition line ending in a A3 singularity. However, actually,
the physics of these systems changes when p-s is large, the instability of
which the one step replica symmetry breaking glassy phase suffers turns out to
be so wide ranging that the whole scenario proposed by Krakoviack must be
seriously reconsidered.
| cond-mat.dis-nn cond-mat.stat-mech | in his comment krakoviack phys rev b 2007 finds that the phase behavior of the sp spinglass model is different from what proposed by crisanti and leuzzi phys rev b 73 014412 2006 if s and p are larger than two and are separated well enough he proposes a trial picture based on a one step replica symmetry breaking solution displaying a modecouplinglike glasstoglass transition line ending in a a3 singularity however actually the physics of these systems changes when ps is large the instability of which the one step replica symmetry breaking glassy phase suffers turns out to be so wide ranging that the whole scenario proposed by krakoviack must be seriously reconsidered | [['in', 'his', 'comment', 'krakoviack', 'phys', 'rev', 'b', '2007', 'finds', 'that', 'the', 'phase', 'behavior', 'of', 'the', 'sp', 'spinglass', 'model', 'is', 'different', 'from', 'what', 'proposed', 'by', 'crisanti', 'and', 'leuzzi', 'phys', 'rev', 'b', '73', '014412', '2006', 'if', 's', 'and', 'p', 'are', 'larger', 'than', 'two', 'and', 'are', 'separated', 'well', 'enough', 'he', 'proposes', 'a', 'trial', 'picture', 'based', 'on', 'a', 'one', 'step', 'replica', 'symmetry', 'breaking', 'solution', 'displaying', 'a', 'modecouplinglike', 'glasstoglass', 'transition', 'line', 'ending', 'in', 'a', 'a3', 'singularity', 'however', 'actually', 'the', 'physics', 'of', 'these', 'systems', 'changes', 'when', 'ps', 'is', 'large', 'the', 'instability', 'of', 'which', 'the', 'one', 'step', 'replica', 'symmetry', 'breaking', 'glassy', 'phase', 'suffers', 'turns', 'out', 'to', 'be', 'so', 'wide', 'ranging', 'that', 'the', 'whole', 'scenario', 'proposed', 'by', 'krakoviack', 'must', 'be', 'seriously', 'reconsidered']] | [-0.10912389509718526, 0.1649393834004348, -0.10383517962076108, -0.012583263613156636, -0.07593580666209825, -0.21676068757237357, 0.08915489686187357, 0.30873826016163963, -0.18465984942582012, -0.30556961943141436, 0.06827769006433135, -0.2600534544030035, -0.15233166307126256, 0.11197633366735482, -0.045349606922404334, 0.0009389012162996964, 0.0013533193787390535, -0.027019481716508215, -0.07752041217701679, -0.23884319642728025, 0.22701806921236725, 0.03509443775666031, 0.30351885312490845, 0.0359373398241587, 0.023050202873789453, 0.0093852876346897, 0.04696249809454788, 0.003230856515636498, -0.12416184301215584, -0.00916276174559078, 0.23034256819254634, 0.10819760741327297, 0.25404994228685446, -0.38806975600732996, -0.23255289972505785, 0.10957119727126238, 0.1121225238269703, 0.1277184251727621, 0.018504511839075182, -0.3464370875323022, 0.08224015259289776, -0.18271881686523556, -0.12749453462998975, -0.0680943066550588, 0.10653618522496386, -0.049591969513461336, -0.26205568611621854, 0.12353328721259128, 0.06430448319932276, 0.06681277420033108, 0.016586959681643004, -0.09648041286167096, -0.051585238445973534, 0.0219153888854304, 0.06943688079693609, 0.09971028678436679, 0.10597575243710625, -0.04002600381235508, -0.09487268337133256, 0.43518745093183087, 0.01823081232710551, -0.09473967428149825, 0.20657855885061013, -0.1302503826202486, -0.12836796810363674, 0.17556267982687462, 0.09156619345938617, 0.12298394720578058, -0.12656623649011386, 0.10165012550529685, -0.032596654309467836, 0.16027241906532172, 0.07898546199906956, -0.029717406384985556, 0.20360924948684195, 0.13487083845856515, -0.0208035170185295, 0.08629000373396345, -0.08224041243083775, -0.1743833626535806, -0.3202788701153953, -0.1379601347556507, -0.20748250904620033, 0.08846532095392996, -0.0033783817702152936, -0.0988654198283753, 0.36402248730036346, 0.13102417704014277, 0.24670496480539442, -0.036173772565300834, 0.17723754354413937, 0.09181045969228514, 0.030854913314000112, 0.09689646740444005, 0.2694466588172046, 0.07825871808666059, 0.1260414451487701, -0.19969579271802848, 0.022307700202377004, 0.07464265016923574] |
710.0232 | Constructing a uniform plane-filling path in the ternary heptagrid of
the hyperbolic plane | In this paper, we distinguish two levels for the plane-filling property. We
consider a simple and a strong one. In this paper, we give the construction
which proves that the simple plane-filling property also holds for the
hyperbolic plane. The plane-filling property was established for the Euclidean
plane by J. Kari, in 1994, in the strong version.
| cs.CG cs.DM | in this paper we distinguish two levels for the planefilling property we consider a simple and a strong one in this paper we give the construction which proves that the simple planefilling property also holds for the hyperbolic plane the planefilling property was established for the euclidean plane by j kari in 1994 in the strong version | [['in', 'this', 'paper', 'we', 'distinguish', 'two', 'levels', 'for', 'the', 'planefilling', 'property', 'we', 'consider', 'a', 'simple', 'and', 'a', 'strong', 'one', 'in', 'this', 'paper', 'we', 'give', 'the', 'construction', 'which', 'proves', 'that', 'the', 'simple', 'planefilling', 'property', 'also', 'holds', 'for', 'the', 'hyperbolic', 'plane', 'the', 'planefilling', 'property', 'was', 'established', 'for', 'the', 'euclidean', 'plane', 'by', 'j', 'kari', 'in', '1994', 'in', 'the', 'strong', 'version']] | [-0.15803005781612897, 0.0676371159293411, -0.08314360171687185, 0.10597178053617347, -0.062233448943548035, -0.1059345585016305, 0.03332093662353592, 0.3500397521022119, -0.26054585006153375, -0.20550634089465203, 0.0782298270547599, -0.218759109968679, -0.19133946224393553, 0.1995297841188547, -0.12597447963790936, -0.027272464102951057, 0.03599806512264829, -0.00687932031915376, -0.038476051644242386, -0.24589382513556957, 0.329096768990878, -0.02016994827672055, 0.27374180889813016, 0.09347785538748692, 0.11252895029049301, 0.08500465583219602, 0.012793793261312601, 0.060271264447038175, -0.1899274231488418, 0.11388694449724107, 0.20735253027656622, 0.09027135221843134, 0.23033787255796292, -0.342630202571551, -0.1654347634272805, 0.14455228313607604, 0.09128879568653933, 0.0887075906288565, -0.07674543175584915, -0.22359238450595162, 0.12163578460336123, -0.13574901628389693, -0.208548398810978, -0.021712763806837693, 0.04879042326489039, -0.02553307923504658, -0.24873059526445312, 0.032541340906806125, 0.2171118760220053, 0.07456982862857874, -0.007102593518140023, -0.04440477630123496, 0.03873215007938837, 0.08965334812538665, -0.005398741953908221, 0.03935011756492027, -0.055323775187788304, -0.039272578490342484, -0.11054497837750732, 0.37197497148851033, -0.0658439494416183, -0.21999636285921984, 0.18913161461323238, -0.14563691165919104, -0.2387335100456288, 0.05505609973088691, 0.12030240166278784, 0.11331484842587981, -0.15237083405321628, 0.15198886606805517, -0.139137675838643, 0.08635575881456597, 0.10953220274103315, -0.010724259973421954, 0.1036502079907478, 0.07955308871245698, 0.0986851440546544, 0.21517203555017578, -0.04182082443220312, -0.06033015911663441, -0.2874158585133652, -0.2164508330175171, -0.15549837923690416, 0.04869006930752412, -0.04645891615017031, -0.1711771959406242, 0.40297454136440103, 0.10569751191998653, 0.19724233508959674, 0.10790361003468238, 0.23049546157320341, 0.10342987785789821, -0.0010720022806995793, 0.09175206072171006, 0.275970997484891, 0.11582503144694656, 0.0785756234667803, -0.13327169052341528, 0.020816671988812454, 0.16743131295630806] |
710.0233 | Inertial mechanism: dynamical mass as a source of particle creation | A kinetic theory of vacuum particle creation under the action of an inertial
mechanism is constructed within a nonpertrubative dynamical approach. At the
semi-phenomenological level, the inertial mechanism corresponds to quantum
field theory with a time-dependent mass. At the microscopic level, such a
dependence may be caused by different reasons: The non-stationary Higgs
mechanism, the influence of a mean field or condensate, the presence of the
conformal multiplier in the scalar-tensor gravitation theory etc. In what
follows, a kinetic theory in the collisionless approximation is developed for
scalar, spinor and massive vector fields in the framework of the oscillator
representation, which is an effective tool for transition to the quasiparticle
description and for derivation of non-Markovian kinetic equations. Properties
of these equations and relevant observables (particle number and energy
densities, pressure) are studied. The developed theory is applied here to
describe the vacuum matter creation in conformal cosmological models and
discuss the problem of the observed number density of photons in the cosmic
microwave background radiation. As other example, the self-consistent evolution
of scalar fields with non-monotonic self-interaction potentials (the
W-potential and Witten - Di Vecchia - Veneziano model) is considered. In
particular, conditions for appearance of tachyonic modes and a problem of the
relevant definition of a vacuum state are considered.
| hep-ph | a kinetic theory of vacuum particle creation under the action of an inertial mechanism is constructed within a nonpertrubative dynamical approach at the semiphenomenological level the inertial mechanism corresponds to quantum field theory with a timedependent mass at the microscopic level such a dependence may be caused by different reasons the nonstationary higgs mechanism the influence of a mean field or condensate the presence of the conformal multiplier in the scalartensor gravitation theory etc in what follows a kinetic theory in the collisionless approximation is developed for scalar spinor and massive vector fields in the framework of the oscillator representation which is an effective tool for transition to the quasiparticle description and for derivation of nonmarkovian kinetic equations properties of these equations and relevant observables particle number and energy densities pressure are studied the developed theory is applied here to describe the vacuum matter creation in conformal cosmological models and discuss the problem of the observed number density of photons in the cosmic microwave background radiation as other example the selfconsistent evolution of scalar fields with nonmonotonic selfinteraction potentials the wpotential and witten di vecchia veneziano model is considered in particular conditions for appearance of tachyonic modes and a problem of the relevant definition of a vacuum state are considered | [['a', 'kinetic', 'theory', 'of', 'vacuum', 'particle', 'creation', 'under', 'the', 'action', 'of', 'an', 'inertial', 'mechanism', 'is', 'constructed', 'within', 'a', 'nonpertrubative', 'dynamical', 'approach', 'at', 'the', 'semiphenomenological', 'level', 'the', 'inertial', 'mechanism', 'corresponds', 'to', 'quantum', 'field', 'theory', 'with', 'a', 'timedependent', 'mass', 'at', 'the', 'microscopic', 'level', 'such', 'a', 'dependence', 'may', 'be', 'caused', 'by', 'different', 'reasons', 'the', 'nonstationary', 'higgs', 'mechanism', 'the', 'influence', 'of', 'a', 'mean', 'field', 'or', 'condensate', 'the', 'presence', 'of', 'the', 'conformal', 'multiplier', 'in', 'the', 'scalartensor', 'gravitation', 'theory', 'etc', 'in', 'what', 'follows', 'a', 'kinetic', 'theory', 'in', 'the', 'collisionless', 'approximation', 'is', 'developed', 'for', 'scalar', 'spinor', 'and', 'massive', 'vector', 'fields', 'in', 'the', 'framework', 'of', 'the', 'oscillator', 'representation', 'which', 'is', 'an', 'effective', 'tool', 'for', 'transition', 'to', 'the', 'quasiparticle', 'description', 'and', 'for', 'derivation', 'of', 'nonmarkovian', 'kinetic', 'equations', 'properties', 'of', 'these', 'equations', 'and', 'relevant', 'observables', 'particle', 'number', 'and', 'energy', 'densities', 'pressure', 'are', 'studied', 'the', 'developed', 'theory', 'is', 'applied', 'here', 'to', 'describe', 'the', 'vacuum', 'matter', 'creation', 'in', 'conformal', 'cosmological', 'models', 'and', 'discuss', 'the', 'problem', 'of', 'the', 'observed', 'number', 'density', 'of', 'photons', 'in', 'the', 'cosmic', 'microwave', 'background', 'radiation', 'as', 'other', 'example', 'the', 'selfconsistent', 'evolution', 'of', 'scalar', 'fields', 'with', 'nonmonotonic', 'selfinteraction', 'potentials', 'the', 'wpotential', 'and', 'witten', 'di', 'vecchia', 'veneziano', 'model', 'is', 'considered', 'in', 'particular', 'conditions', 'for', 'appearance', 'of', 'tachyonic', 'modes', 'and', 'a', 'problem', 'of', 'the', 'relevant', 'definition', 'of', 'a', 'vacuum', 'state', 'are', 'considered']] | [-0.13221972721125308, 0.20110171643081878, -0.10349899526332619, 0.10563993679736094, -0.05354878114665631, -0.10893899831825056, -0.044441126779381314, 0.27351985080836066, -0.22017194617218805, -0.3097051811542665, -0.0013447186890677616, -0.23642076737064707, -0.12290809565205929, 0.14644980578238823, 0.01931700694962944, 0.04904763563424705, -0.022699599646691358, 0.07591857300830658, -0.03751066394381974, -0.19183473132492787, 0.34580896429173896, 0.08426109356438055, 0.2824820825166145, 0.0627553800934743, 0.12768321493462298, -0.0051620510110462255, -0.006931748925195784, 0.0140696573784156, -0.13236755653480559, 0.054281731661961694, 0.20531793340949608, 0.07802961013424957, 0.2529550792992507, -0.43482547974365465, -0.260454977316666, 0.06723454161424582, 0.10826972296292131, 0.15926338699657433, -0.06438902306980922, -0.27302087793064317, 0.032352089738745114, -0.18541765037888402, -0.16604201545110017, -0.051099495600204936, 0.007746542615673402, -0.033785865486167264, -0.285200462692181, 0.11426271160362114, 0.019759517287112477, 0.022845442303229106, -0.11746120971458202, -0.059892236728568755, -0.013101852822015017, 0.04094968898707564, 0.08635221165994797, 0.026048825805590144, 0.17365965116368026, -0.20711489902969682, -0.0958791941673936, 0.3982870953032774, -0.11504175457098013, -0.21364703562787987, 0.1541957370714066, -0.11849332807761613, -0.10496733053787902, 0.11503276977304851, 0.14327203741956626, 0.12895141501762541, -0.17167394891666454, 0.1579539328526692, 0.008711884947355534, 0.09853115619570195, 0.06092138854902612, 0.05227313747264124, 0.26123703220796785, 0.13396421240076745, -0.003645493269064709, 0.09114836644282137, -0.04643850126326013, -0.14328761925279168, -0.36843893542422346, -0.13578961761534641, -0.14557012695591878, 0.05711827602106009, -0.08413747571689761, -0.19421307618493597, 0.39649724080695203, 0.146498781755766, 0.1408177965435391, -0.006316101161259534, 0.2624718919017633, 0.16922852297092936, 0.03495954718155581, 0.030218823535788947, 0.2672380090882761, 0.2070427632603224, 0.10996583116053643, -0.25932420886920443, -0.04225403857729331, 0.10382468964677286] |
710.0234 | Sharp nonremovability examples for H\"older continuous quasiregular
mappings in the plane | Let $\alpha\in(0,1)$, $K\geq 1$, and $d=2\frac{1+\alpha K}{1+K}$. Given a
compact set $E\subset\C$, it is known that if $\H^d(E)=0$ then $E$ is removable
for $\alpha$-H\"older continuous $K$-quasiregular mappings in the plane. The
sharpness of the index $d$ is shown with the construction, for any $t>d$, of a
set $E$ of Hausdorff dimension $\dim(E)=t$ which is not removable. In this
paper, we improve this result and construct compact nonremovable sets $E$ such
that $0<\H^d(E)<\infty$. For the proof, we give a precise planar
$K$-quasiconformal mapping whose H\"older exponent is strictly bigger than
$\frac{1}{K}$, and that exhibits extremal distortion properties.
| math.CV math.AP | let alphain01 kgeq 1 and d2frac1alpha k1k given a compact set esubsetc it is known that if hde0 then e is removable for alphaholder continuous kquasiregular mappings in the plane the sharpness of the index d is shown with the construction for any td of a set e of hausdorff dimension dimet which is not removable in this paper we improve this result and construct compact nonremovable sets e such that 0hdeinfty for the proof we give a precise planar kquasiconformal mapping whose holder exponent is strictly bigger than frac1k and that exhibits extremal distortion properties | [['let', 'alphain01', 'kgeq', '1', 'and', 'd2frac1alpha', 'k1k', 'given', 'a', 'compact', 'set', 'esubsetc', 'it', 'is', 'known', 'that', 'if', 'hde0', 'then', 'e', 'is', 'removable', 'for', 'alphaholder', 'continuous', 'kquasiregular', 'mappings', 'in', 'the', 'plane', 'the', 'sharpness', 'of', 'the', 'index', 'd', 'is', 'shown', 'with', 'the', 'construction', 'for', 'any', 'td', 'of', 'a', 'set', 'e', 'of', 'hausdorff', 'dimension', 'dimet', 'which', 'is', 'not', 'removable', 'in', 'this', 'paper', 'we', 'improve', 'this', 'result', 'and', 'construct', 'compact', 'nonremovable', 'sets', 'e', 'such', 'that', '0hdeinfty', 'for', 'the', 'proof', 'we', 'give', 'a', 'precise', 'planar', 'kquasiconformal', 'mapping', 'whose', 'holder', 'exponent', 'is', 'strictly', 'bigger', 'than', 'frac1k', 'and', 'that', 'exhibits', 'extremal', 'distortion', 'properties']] | [-0.14644246763206895, 0.08939849243980351, -0.06037518885088982, 0.053783407322243675, -0.07069803581759845, -0.17894764066991078, 0.010769783020285624, 0.35150476626969956, -0.2685994281904301, -0.16331365443049714, 0.11755962930568545, -0.3205476710061123, -0.15035710936146124, 0.2276918751361606, -0.11010542033485822, 0.020452511808988483, 0.007344257685222796, 0.0991060877689621, -0.040439250093506095, -0.232941161186158, 0.3667992726787106, -0.05886713024433497, 0.17168429705754415, 0.08498777402564883, 0.10517625164772783, -0.013598854264633342, 0.021197813240667947, 0.04379872052295768, -0.24658367094949366, 0.11047868592828348, 0.2384911235393112, 0.1361042833349739, 0.24354529454485402, -0.26120929326862097, -0.19515092061176273, 0.25064285561713584, 0.11744983950220458, -0.049707712642694975, -0.018888051542299954, -0.24380832233537847, 0.18419880529476718, -0.0730206640130216, -0.1847639089542349, -0.0597460153359142, 0.14981574449012733, -0.0037386126094753596, -0.34239660121070653, 0.021274699338271724, 0.19054459655596004, 0.04136089903844909, -0.0558343804492564, -0.08327942592818495, -0.05812601186335087, 0.07340057010399076, -0.050263961042779, 0.16863944208003825, 0.03003512380214838, -0.003068886426083007, -0.11066190748485727, 0.3393749779059582, -0.04323101942098039, -0.26809672708367255, 0.1716971616311879, -0.23547711748384184, -0.1453905229886564, 0.12849199208482118, 0.10607736053682126, 0.15088221835033908, -0.07296469260089017, 0.18969026879614712, -0.08418787131757619, 0.17911799179369603, 0.13713590463285671, 0.023480612630949478, 0.08388207113922952, 0.11752276505397347, 0.19962411207034364, 0.15266018179705837, -0.007870347391312512, 0.043797549786516926, -0.377171611065393, -0.15516276839016527, -0.2227017797266164, 0.16231486114566496, -0.13395520656802665, -0.19865357752084722, 0.3391870191668744, 0.05751797165926341, 0.19676186852566488, 0.14762632369836484, 0.21638113032043962, 0.11467509784583504, -0.00860364571889187, 0.15213629431961165, 0.15341305527273197, 0.0978918740177875, -0.012924801507084579, -0.10268288017055506, 0.03544990515213583, 0.15375679734439313] |
710.0235 | Rare Decays in Theories with LGS | Gravitational decays in particle physics are expected to violate the B and L
quantum numbers. In the standard theory, where gravity is weak because of the
huge value of Planck mass, the observation of the phenomenon is far from
present and probably future experimental sensitivity. On the other hand, in
theories with low gravity scale, where gravity becomes stronger at shorter
distances, these processes may be dangerous, predicting a too short proton
lifetime. Here I discuss a possible picture of gravitational decays, which is
consistent with present experimental bounds for a true gravity scale of few TeV
and suggests the possibility of observing B and L violating decays with a minor
improvement of the present experimental capability.
| hep-ph | gravitational decays in particle physics are expected to violate the b and l quantum numbers in the standard theory where gravity is weak because of the huge value of planck mass the observation of the phenomenon is far from present and probably future experimental sensitivity on the other hand in theories with low gravity scale where gravity becomes stronger at shorter distances these processes may be dangerous predicting a too short proton lifetime here i discuss a possible picture of gravitational decays which is consistent with present experimental bounds for a true gravity scale of few tev and suggests the possibility of observing b and l violating decays with a minor improvement of the present experimental capability | [['gravitational', 'decays', 'in', 'particle', 'physics', 'are', 'expected', 'to', 'violate', 'the', 'b', 'and', 'l', 'quantum', 'numbers', 'in', 'the', 'standard', 'theory', 'where', 'gravity', 'is', 'weak', 'because', 'of', 'the', 'huge', 'value', 'of', 'planck', 'mass', 'the', 'observation', 'of', 'the', 'phenomenon', 'is', 'far', 'from', 'present', 'and', 'probably', 'future', 'experimental', 'sensitivity', 'on', 'the', 'other', 'hand', 'in', 'theories', 'with', 'low', 'gravity', 'scale', 'where', 'gravity', 'becomes', 'stronger', 'at', 'shorter', 'distances', 'these', 'processes', 'may', 'be', 'dangerous', 'predicting', 'a', 'too', 'short', 'proton', 'lifetime', 'here', 'i', 'discuss', 'a', 'possible', 'picture', 'of', 'gravitational', 'decays', 'which', 'is', 'consistent', 'with', 'present', 'experimental', 'bounds', 'for', 'a', 'true', 'gravity', 'scale', 'of', 'few', 'tev', 'and', 'suggests', 'the', 'possibility', 'of', 'observing', 'b', 'and', 'l', 'violating', 'decays', 'with', 'a', 'minor', 'improvement', 'of', 'the', 'present', 'experimental', 'capability']] | [-0.12901924512325189, 0.2342299612529544, -0.06432474948242943, 0.12347555618920228, -0.09350263041794364, -0.17555917546891361, 0.033222127556562044, 0.2616411341975133, -0.22379417383931896, -0.33336871769677245, 0.07851318005396801, -0.2822854586590368, -0.05339053617869942, 0.20280693922466478, 0.0008912175997263856, 0.02472884927947934, 0.05995073463592646, 0.040832066470677525, -0.05485705526010332, -0.18840675391097608, 0.27025297050002134, 0.11573110228532758, 0.18868629694080505, 0.10331535424826205, 0.016592337174786843, -0.05407813261462073, -0.04536687608203317, 0.028564780043103755, -0.11949192044503279, 0.07653637489295986, 0.18072203055629107, 0.12249182872613494, 0.22774649697204685, -0.4177971436208289, -0.18733208329201892, 0.1179421440196725, 0.12726748407953697, 0.13538368007976115, -0.06638181833331433, -0.2958244161807701, 0.06893534151465099, -0.15036645306584737, -0.1185660021713911, -0.021624037275552496, 0.0936242847615837, -0.04621221858641913, -0.2752824869229753, 0.12703177783216357, -0.013038901775343042, 0.03664221174410011, -0.010674223860996401, -0.1426547680877977, 0.02285233511724788, 0.03925767939728804, 0.1340726199778768, 0.07071349070940772, 0.1414234580185551, -0.15175454150566942, -0.11725532307695502, 0.4302022338598075, -0.0882517926267579, -0.1238171673845251, 0.22010418992394057, -0.23104705909091947, -0.16009045207502845, 0.11123195286187479, 0.14459913755014825, 0.10252236147037047, -0.11297120900753026, 0.11481088577818452, 0.0013981724364889993, 0.15394044895537007, 0.0345325761118458, 0.12660099247581938, 0.29599150077989084, 0.19676863990174845, 0.05298702052444156, 0.06917567703122687, -0.11679336631224833, -0.058875043045144335, -0.3912537285230226, -0.11034185237412412, -0.13973879770367828, 0.09031404629071108, -0.0645608898310954, -0.10066031674858437, 0.3260553491084924, 0.17642066344065577, 0.20965948722969033, 0.07789846713571116, 0.2721039364194004, 0.06648275117055537, 0.08783517641504893, 0.03808796481810447, 0.34946645395113873, 0.10140019674331714, 0.09169419636376776, -0.221373104942071, 0.0471483898969988, 0.005598033519668711] |
710.0236 | Branching diffusions, superdiffusions and random media | Spatial branching processes became increasingly popular in the past decades,
not only because of their obvious connection to biology, but also because
superprocesses are intimately related to nonlinear partial differential
equations. Another hot topic in today's research in probability theory is
`random media', including the now classical problems on `Brownian motion among
obstacles' and the more recent `random walks in random environment' and
`catalytic branching' models. These notes aim to give a gentle introduction
into some topics in spatial branching processes and superprocesses in
deterministic environments (sections 2-6) and in random media (sections 7-11).
| math.PR | spatial branching processes became increasingly popular in the past decades not only because of their obvious connection to biology but also because superprocesses are intimately related to nonlinear partial differential equations another hot topic in todays research in probability theory is random media including the now classical problems on brownian motion among obstacles and the more recent random walks in random environment and catalytic branching models these notes aim to give a gentle introduction into some topics in spatial branching processes and superprocesses in deterministic environments sections 26 and in random media sections 711 | [['spatial', 'branching', 'processes', 'became', 'increasingly', 'popular', 'in', 'the', 'past', 'decades', 'not', 'only', 'because', 'of', 'their', 'obvious', 'connection', 'to', 'biology', 'but', 'also', 'because', 'superprocesses', 'are', 'intimately', 'related', 'to', 'nonlinear', 'partial', 'differential', 'equations', 'another', 'hot', 'topic', 'in', 'todays', 'research', 'in', 'probability', 'theory', 'is', 'random', 'media', 'including', 'the', 'now', 'classical', 'problems', 'on', 'brownian', 'motion', 'among', 'obstacles', 'and', 'the', 'more', 'recent', 'random', 'walks', 'in', 'random', 'environment', 'and', 'catalytic', 'branching', 'models', 'these', 'notes', 'aim', 'to', 'give', 'a', 'gentle', 'introduction', 'into', 'some', 'topics', 'in', 'spatial', 'branching', 'processes', 'and', 'superprocesses', 'in', 'deterministic', 'environments', 'sections', '26', 'and', 'in', 'random', 'media', 'sections', '711']] | [-0.04800511743598419, 0.1822516255358115, -0.03845523524672744, 0.09159150563844262, -0.1072332440736763, -0.14704621161651263, 0.018808640677115306, 0.41208699169231855, -0.2737779990036754, -0.22514934610932114, 0.12232426138584838, -0.29895621013054824, -0.17439967635622683, 0.1956705773234407, -0.10102940825349156, 0.08186863033482408, 0.044388939859345555, 0.0029797542126888924, 0.06031225913233976, -0.29775138051828687, 0.2589616986595966, 0.012875251640426986, 0.26035146490532035, 0.055730637093570005, 0.07916337671749135, 0.0032831544918503533, -0.15600331302514261, -0.0016861093463376164, -0.10229055577037023, 0.10988550735241238, 0.30358793819497343, 0.08357696974045656, 0.30481513516303704, -0.4742149065924868, -0.21256624043800254, 0.11615825517776798, 0.1555435053280931, 0.10241157980140378, -0.03823331207426468, -0.3121373051618959, 0.010328114488498961, -0.10322519528996596, -0.09716150283372585, -0.007062141862796976, 0.13430687121333593, 0.04690968309667833, -0.1884588638389919, 0.08846400797762165, 0.07399477646686137, 0.05640478255078593, 0.01215764130013648, -0.1446045289370925, 0.01890226508530372, 0.07228028793581465, 0.058682350377413504, -0.0296735791043636, 0.18120061747353286, -0.17039195143994182, -0.19541157273318063, 0.41681851286124044, -0.0043214886558261955, -0.21115955837229464, 0.2744413485968525, -0.1761754570588311, -0.2177813578758666, 0.1522379227656316, 0.28390666291345545, 0.11278386035082029, -0.241415106156405, 0.06746981516133677, -0.0024820758679081644, 0.10713764081927056, 0.05953101875716226, 0.03922039358579415, 0.1772012044081187, 0.1502685075417716, 0.05521055531906004, 0.04941099644341367, 0.04372351276044278, -0.2562205745402644, -0.22188870657106585, -0.12774409314597698, -0.06977399065099815, 0.09197258675347722, -0.08977096642589226, -0.19097527212641657, 0.2958076666901879, 0.15349062410507727, 0.23762275337023622, 0.019689561125445874, 0.24944293112593127, 0.08998071824564559, -0.0022327888991059536, 0.0418280239732183, 0.15330975961114746, 0.2633430396820954, 0.20317557773632097, -0.06252882328439266, 0.1274490042136328, 0.06030671656171375] |
710.0237 | Fourier method for one dimensional Schr\"odinger operators with singular
periodic potentials | By using quasi--derivatives, we develop a Fourier method for studying the
spectral properties of one dimensional Schr\"odinger operators with periodic
singular potentials.
| math.SP math.CA | by using quasiderivatives we develop a fourier method for studying the spectral properties of one dimensional schrodinger operators with periodic singular potentials | [['by', 'using', 'quasiderivatives', 'we', 'develop', 'a', 'fourier', 'method', 'for', 'studying', 'the', 'spectral', 'properties', 'of', 'one', 'dimensional', 'schrodinger', 'operators', 'with', 'periodic', 'singular', 'potentials']] | [-0.08075451139699329, 0.060474642594768244, -0.13514125482602554, 0.044636614324355665, -0.0428341424875808, -0.1751942681783641, -0.04510258543516763, 0.3726446449079297, -0.2325811887329275, -0.13851710696789352, 0.13136566411280495, -0.26444087304513564, -0.18909611654552547, 0.23067406162788923, 0.014346534682607109, 0.1452504745684564, 0.06313658598810434, 0.0037081897343424234, -0.1312897723930126, -0.15793406345288863, 0.45555494708771055, -0.0476474428803406, 0.15496395714581013, -0.04375361744314432, 0.06078316762366078, 0.07822425538589331, -0.02427723720161752, 0.007865916429595514, -0.1324195150412958, 0.22230635253204542, 0.19162678281480278, 0.0016555360476063056, 0.28557916662909766, -0.4297255203127861, -0.27649345790798013, 0.11974287574941461, 0.11203079916198146, 0.06358082965016365, -0.08263438355854967, -0.33670615760440176, 0.06143094186501747, -0.08629108914597468, -0.2848938148341734, -0.19775802790271965, 0.006140442057089372, 0.09102714485065504, -0.3068992924686013, 0.14208265438421883, 0.028594829396090725, 0.0903844435445287, -0.13143841276707297, -0.05854837380518967, 0.02393585460429842, 0.04044579424556683, -0.04422862014987252, -0.08895004060204056, 0.013732158642431552, -0.0473130079960604, -0.14849989573386582, 0.3447917680023238, -0.13041169242933393, -0.23726395729251884, 0.14961595663970167, -0.15091176352209665, -0.11552999227900397, 0.10322454357943074, 0.13627953666516326, 0.17432425179603425, -0.18837718957696448, 0.17681145018220626, 0.02609339737418023, 0.1154508815062317, 0.11159381774169477, 0.039651574990288777, 0.12060071070763198, 0.13175018940290267, 0.10402592948891899, 0.16196323863484643, -0.057023937538774175, -0.03761798379921608, -0.2433442688462409, -0.1175709547559646, -0.2182757512412288, 0.09305607675659386, -0.11854396390051326, -0.24230742170898753, 0.5260556197979234, 0.08901943036471494, 0.19712508359754627, 0.016982046082954515, 0.2607842502395876, 0.27294421746310865, 0.059066344391215934, 0.05253543852913109, 0.12745407453357158, 0.20446745433251967, 0.10987438955767588, -0.20783789697187868, -0.15638065052388067, 0.27916112406687305] |
710.0238 | Superconductivity in the attractive Hubbard model: functional
renormalization group analysis | We present a functional renormalization group analysis of superconductivity
in the ground state of the attractive Hubbard model on a square lattice.
Spontaneous symmetry breaking is treated in a purely fermionic setting via
anomalous propagators and anomalous effective interactions. In addition to the
anomalous interactions arising already in the reduced BCS model, effective
interactions with three incoming legs and one outgoing leg (and vice versa)
occur. We accomplish their integration into the usual diagrammatic formalism by
introducing a Nambu matrix for the effective interactions. From a random-phase
approximation generalized through use of this matrix we conclude that the
impact of the 3+1 effective interactions is limited, especially considering the
effective interactions important for the determination of the order parameter.
The exact hierarchy of flow equations for one-particle irreducible vertex
functions is truncated on the two-particle level, with higher-order self-energy
corrections included in a scheme proposed by Katanin. Using a parametrization
of effective interactions by patches in momentum space, the flow equations can
be integrated numerically to the lowest scales without encountering
divergences. Momentum-shell as well as interaction-flow cutoff functions are
used, including a small external field or a large external field and a
counterterm, respectively. Both approaches produce momentum-resolved order
parameter values directly from the microscopic model. The size of the
superconducting gap is in reasonable agreement with expectations from other
studies.
| cond-mat.str-el cond-mat.supr-con | we present a functional renormalization group analysis of superconductivity in the ground state of the attractive hubbard model on a square lattice spontaneous symmetry breaking is treated in a purely fermionic setting via anomalous propagators and anomalous effective interactions in addition to the anomalous interactions arising already in the reduced bcs model effective interactions with three incoming legs and one outgoing leg and vice versa occur we accomplish their integration into the usual diagrammatic formalism by introducing a nambu matrix for the effective interactions from a randomphase approximation generalized through use of this matrix we conclude that the impact of the 31 effective interactions is limited especially considering the effective interactions important for the determination of the order parameter the exact hierarchy of flow equations for oneparticle irreducible vertex functions is truncated on the twoparticle level with higherorder selfenergy corrections included in a scheme proposed by katanin using a parametrization of effective interactions by patches in momentum space the flow equations can be integrated numerically to the lowest scales without encountering divergences momentumshell as well as interactionflow cutoff functions are used including a small external field or a large external field and a counterterm respectively both approaches produce momentumresolved order parameter values directly from the microscopic model the size of the superconducting gap is in reasonable agreement with expectations from other studies | [['we', 'present', 'a', 'functional', 'renormalization', 'group', 'analysis', 'of', 'superconductivity', 'in', 'the', 'ground', 'state', 'of', 'the', 'attractive', 'hubbard', 'model', 'on', 'a', 'square', 'lattice', 'spontaneous', 'symmetry', 'breaking', 'is', 'treated', 'in', 'a', 'purely', 'fermionic', 'setting', 'via', 'anomalous', 'propagators', 'and', 'anomalous', 'effective', 'interactions', 'in', 'addition', 'to', 'the', 'anomalous', 'interactions', 'arising', 'already', 'in', 'the', 'reduced', 'bcs', 'model', 'effective', 'interactions', 'with', 'three', 'incoming', 'legs', 'and', 'one', 'outgoing', 'leg', 'and', 'vice', 'versa', 'occur', 'we', 'accomplish', 'their', 'integration', 'into', 'the', 'usual', 'diagrammatic', 'formalism', 'by', 'introducing', 'a', 'nambu', 'matrix', 'for', 'the', 'effective', 'interactions', 'from', 'a', 'randomphase', 'approximation', 'generalized', 'through', 'use', 'of', 'this', 'matrix', 'we', 'conclude', 'that', 'the', 'impact', 'of', 'the', '31', 'effective', 'interactions', 'is', 'limited', 'especially', 'considering', 'the', 'effective', 'interactions', 'important', 'for', 'the', 'determination', 'of', 'the', 'order', 'parameter', 'the', 'exact', 'hierarchy', 'of', 'flow', 'equations', 'for', 'oneparticle', 'irreducible', 'vertex', 'functions', 'is', 'truncated', 'on', 'the', 'twoparticle', 'level', 'with', 'higherorder', 'selfenergy', 'corrections', 'included', 'in', 'a', 'scheme', 'proposed', 'by', 'katanin', 'using', 'a', 'parametrization', 'of', 'effective', 'interactions', 'by', 'patches', 'in', 'momentum', 'space', 'the', 'flow', 'equations', 'can', 'be', 'integrated', 'numerically', 'to', 'the', 'lowest', 'scales', 'without', 'encountering', 'divergences', 'momentumshell', 'as', 'well', 'as', 'interactionflow', 'cutoff', 'functions', 'are', 'used', 'including', 'a', 'small', 'external', 'field', 'or', 'a', 'large', 'external', 'field', 'and', 'a', 'counterterm', 'respectively', 'both', 'approaches', 'produce', 'momentumresolved', 'order', 'parameter', 'values', 'directly', 'from', 'the', 'microscopic', 'model', 'the', 'size', 'of', 'the', 'superconducting', 'gap', 'is', 'in', 'reasonable', 'agreement', 'with', 'expectations', 'from', 'other', 'studies']] | [-0.14888509148436838, 0.1738818896206399, -0.0867330659382631, 0.1269084049227576, -0.06633807192093005, -0.11765321385857072, 0.05042334055481689, 0.33829460475104967, -0.23226584480418003, -0.3003176299189281, 0.049964142729932805, -0.31039281494966053, -0.13219492681370837, 0.10749913021770403, 0.06890637907663116, 0.029642438058326826, 0.015415952843297862, 0.028004721063083854, -0.1084024451611926, -0.1852996208135047, 0.33183277724100047, 0.02533001380412085, 0.2633340673445307, 0.0756114048022583, 0.09996251189845247, 0.07059439198889378, 0.0049554824616288035, 0.04623149455473885, -0.08691778036516726, 0.09739606939909382, 0.2204602826439367, -0.022738703585455534, 0.21324059683150676, -0.4407945257101663, -0.22018465861505343, 0.056288948822008, 0.1757851994345681, 0.14956731193201675, -0.024839208376008125, -0.2877117671900559, -0.004906174642501643, -0.22796566856654185, -0.1525597813481526, -0.11397464233935216, -0.02261250813247223, -0.024306899883228088, -0.2795266608319907, 0.11690698849796886, 0.0030129925001252493, 0.05104351588166677, -0.06547323240644648, -0.1280628639648403, -0.019676574148718116, 0.11078029992037802, 0.042380902394167745, 0.04158575060828462, 0.11599386414161113, -0.1800125324034566, -0.08425626739210605, 0.387196761435867, -0.09671065448354024, -0.23491832657139833, 0.15986841567475937, -0.117350194742271, -0.08356132256962798, 0.14151286430302923, 0.13755353962306177, 0.08740329104517819, -0.1634236268437893, 0.13833418469012154, 0.0040433861660809, 0.13050812040877052, 0.010563506874386473, 0.017248745221449473, 0.17325673901741456, 0.1406424300433284, 0.014806752902249136, 0.13249085632830276, -0.03641377006946089, -0.12371906919122518, -0.330535054919036, -0.08688156077009375, -0.1695683775216813, 0.02500310744110461, -0.11212397438586727, -0.14759692717533204, 0.3958726368641671, 0.16561028163098387, 0.20066475362529582, 0.015106118115600687, 0.3008873794940026, 0.16107240476122978, 0.12233425904912411, 0.03677215624539544, 0.2481644628084859, 0.1280161334155338, 0.04544027468054745, -0.2598693809162286, 0.0164713657501141, 0.11772287028053632] |
710.0239 | Lagrangian description of world-line deviations | We introduce a Lagrangian which can be varied to give both the equation of
motion and world-line deviations of spinning particles simultaneously.
| gr-qc | we introduce a lagrangian which can be varied to give both the equation of motion and worldline deviations of spinning particles simultaneously | [['we', 'introduce', 'a', 'lagrangian', 'which', 'can', 'be', 'varied', 'to', 'give', 'both', 'the', 'equation', 'of', 'motion', 'and', 'worldline', 'deviations', 'of', 'spinning', 'particles', 'simultaneously']] | [-0.12601632142270153, 0.2049817320552062, -0.14337518806992608, 0.04389932362193411, -0.1285123514350165, -0.1450782324060459, -0.050025489858605644, 0.30615169063887815, -0.2842019159262153, -0.3516173604875803, 0.025151191427457063, -0.23881305144591766, -0.09931876112452963, 0.10442378575151617, -0.06877099557525733, -7.98372890461575e-05, 0.059345417825335804, 0.012354092079807411, -0.06514819868078287, -0.1818889119895175, 0.24756679021414707, -0.00812790280377323, 0.11249635453251275, 0.014177296606993134, 0.21268809199417857, 0.021338015752421183, 0.05768059367652644, 0.07263788690959866, -0.1371799693442881, 0.15417016365311362, 0.17659484087066216, 0.08217404918237166, 0.10893780247054317, -0.441045974127271, -0.21243038788353177, 0.13065846586621113, 0.20974982603961093, 0.19508070626232604, -0.04017784336412495, -0.3335165733640844, 0.03918698112565008, -0.16067675746638665, -0.19365370012184774, -0.14914049750024622, 0.03677058863368901, 0.03283792234618555, -0.27479342138394713, 0.0919088866900314, 0.040019395486028356, -0.01577896603637121, -0.05543581133877689, -0.03224796729839661, -0.004615733399987221, 0.10039538515477696, 0.12152213641357693, 0.01654761358672245, 0.21581832399930467, -0.10110972032204947, -0.12080811129205606, 0.46673300523649563, -0.13036810386587272, -0.35181995684450323, 0.15090655035931955, -0.1487961555407806, -0.09664341506802222, 0.1541826527735049, 0.21380398168482564, 0.1785998730496927, -0.23484274105761538, 0.07341422699127262, 0.007539403878829696, 0.11240490475161509, 0.07603656212714585, -0.018362340602007778, 0.24660521737215194, 0.08300993070853027, 0.020887022372335196, 0.15905946686292405, -0.11956956779414957, -0.1292604228312319, -0.3547398531703617, -0.18285249285823243, -0.10200336939570578, 0.08648702111730183, -0.12402903438818282, -0.15679323256269775, 0.37478131089698186, 0.18955432922071355, 0.19025135616009886, 0.11500526440266351, 0.20981624197553506, 0.1575776464305818, 0.01960298406298865, 0.075883106328547, 0.2720577832184393, 0.09665628835897554, 0.07411521757868203, -0.2075670022432777, -0.07111183949746192, 0.10007523508234457] |
710.024 | Field patterns in periodically modulated optical parametric amplifiers
and oscillators | Spatially localized and periodic field patterns in periodically modulated
optical parametric amplifiers and oscillators are studied. In the degenerate
case (equal signal and idler beams) we elaborate the systematic method of
construction of the stationary localized modes in the amplifiers, study their
properties and stability. We describe a method of constructing periodic
solutions in optical parametric oscillators, by adjusting the form of the
external driven field to the given form of either signal or pump beams.
| cond-mat.other nlin.PS physics.optics | spatially localized and periodic field patterns in periodically modulated optical parametric amplifiers and oscillators are studied in the degenerate case equal signal and idler beams we elaborate the systematic method of construction of the stationary localized modes in the amplifiers study their properties and stability we describe a method of constructing periodic solutions in optical parametric oscillators by adjusting the form of the external driven field to the given form of either signal or pump beams | [['spatially', 'localized', 'and', 'periodic', 'field', 'patterns', 'in', 'periodically', 'modulated', 'optical', 'parametric', 'amplifiers', 'and', 'oscillators', 'are', 'studied', 'in', 'the', 'degenerate', 'case', 'equal', 'signal', 'and', 'idler', 'beams', 'we', 'elaborate', 'the', 'systematic', 'method', 'of', 'construction', 'of', 'the', 'stationary', 'localized', 'modes', 'in', 'the', 'amplifiers', 'study', 'their', 'properties', 'and', 'stability', 'we', 'describe', 'a', 'method', 'of', 'constructing', 'periodic', 'solutions', 'in', 'optical', 'parametric', 'oscillators', 'by', 'adjusting', 'the', 'form', 'of', 'the', 'external', 'driven', 'field', 'to', 'the', 'given', 'form', 'of', 'either', 'signal', 'or', 'pump', 'beams']] | [-0.21422173381832085, 0.19816484581679106, -0.020611398093598455, 0.001998035543549218, -0.026943305874929616, -0.17113279647463442, 0.04933601106198406, 0.4355796083905979, -0.2506178335139626, -0.21966587274188273, 0.09527744843600024, -0.2561502688515343, -0.1404791317886281, 0.21808502001773664, -0.0015847522299736738, 0.07138126935368698, 0.0008332914930131091, -0.029786300640185608, -0.018839524250085418, -0.1577062552035051, 0.2968090058206336, 0.007434543026121039, 0.3370655691496244, -0.10190295850196363, 0.09790013470735989, 0.004438746616391367, -0.031932911221366864, -0.06629496015069124, -0.11729473974188104, 0.09632445324677974, 0.21128749215093098, 0.023076356143543596, 0.2480563419920049, -0.46244597792821496, -0.20054250794706413, 0.14503238473920838, 0.1567190749705524, 0.16889386516260474, -0.05555269813263103, -0.3056675413911427, 0.00814404674364548, -0.11508741607203295, -0.18446793355121227, -0.07170173347817342, -0.03351963474108886, 0.1491681470161941, -0.266858717242844, 0.06784066719640243, 0.10290277324077722, 0.09494827996547285, -0.07887768116779625, 0.004882758250460029, -0.045403590664806724, 0.04326247222611288, -0.009886355372145772, -0.03960179125485746, 0.12339015470474567, -0.1400943677504792, -0.0967502466059829, 0.31961596965342515, -0.11914136488676856, -0.22691253945231438, 0.12665967387147248, -0.16311638282633412, -0.019475503916558074, 0.16106964188848474, 0.22105190252248003, 0.09982379880660262, -0.14239357609001577, 0.015242978719087611, 0.05436810931056052, 0.17847678989270016, 0.1803483090654577, 0.09171081097845576, 0.23715091271227912, 0.12923137784788483, 0.036235676484035424, 0.20113129788813622, -0.045615119246864004, -0.06980948333971594, -0.27882807113622365, -0.03361616967173943, -0.16039281064877287, 0.012945075078230155, -0.03331434069810999, -0.20499107387456061, 0.4799190096336564, 0.0960554265735769, 0.11850963514543285, -0.08140188057318722, 0.2954503274767807, 0.19215660836351545, -0.0008638062189627243, 0.022121762049592736, 0.2931955655589455, 0.2102031704056763, 0.07799348986315492, -0.22925914592403723, -0.06320579117164016, 0.008764716343169934] |
710.0241 | Adapted Downhill Simplex Method for Pricing Convertible Bonds | The paper is devoted to modeling optimal exercise strategies of the behavior
of investors and issuers working with convertible bonds. This implies solution
of the problems of stock price modeling, payoff computation and min-max
optimization.
Stock prices (underlying asset) were modeled under the assumption of the
geometric Brownian motion of their values. The Monte Carlo method was used for
calculating the real payoff which is the objective function. The min-max
optimization problem was solved using the derivative-free Downhill Simplex
method.
The performed numerical experiments allowed to formulate recommendations for
the choice of appropriate size of the initial simplex in the Downhill Simplex
Method, the number of generated trajectories of underlying asset, the size of
the problem and initial trajectories of the behavior of investors and issuers.
| q-fin.PR math.OC | the paper is devoted to modeling optimal exercise strategies of the behavior of investors and issuers working with convertible bonds this implies solution of the problems of stock price modeling payoff computation and minmax optimization stock prices underlying asset were modeled under the assumption of the geometric brownian motion of their values the monte carlo method was used for calculating the real payoff which is the objective function the minmax optimization problem was solved using the derivativefree downhill simplex method the performed numerical experiments allowed to formulate recommendations for the choice of appropriate size of the initial simplex in the downhill simplex method the number of generated trajectories of underlying asset the size of the problem and initial trajectories of the behavior of investors and issuers | [['the', 'paper', 'is', 'devoted', 'to', 'modeling', 'optimal', 'exercise', 'strategies', 'of', 'the', 'behavior', 'of', 'investors', 'and', 'issuers', 'working', 'with', 'convertible', 'bonds', 'this', 'implies', 'solution', 'of', 'the', 'problems', 'of', 'stock', 'price', 'modeling', 'payoff', 'computation', 'and', 'minmax', 'optimization', 'stock', 'prices', 'underlying', 'asset', 'were', 'modeled', 'under', 'the', 'assumption', 'of', 'the', 'geometric', 'brownian', 'motion', 'of', 'their', 'values', 'the', 'monte', 'carlo', 'method', 'was', 'used', 'for', 'calculating', 'the', 'real', 'payoff', 'which', 'is', 'the', 'objective', 'function', 'the', 'minmax', 'optimization', 'problem', 'was', 'solved', 'using', 'the', 'derivativefree', 'downhill', 'simplex', 'method', 'the', 'performed', 'numerical', 'experiments', 'allowed', 'to', 'formulate', 'recommendations', 'for', 'the', 'choice', 'of', 'appropriate', 'size', 'of', 'the', 'initial', 'simplex', 'in', 'the', 'downhill', 'simplex', 'method', 'the', 'number', 'of', 'generated', 'trajectories', 'of', 'underlying', 'asset', 'the', 'size', 'of', 'the', 'problem', 'and', 'initial', 'trajectories', 'of', 'the', 'behavior', 'of', 'investors', 'and', 'issuers']] | [-0.0806811342814139, 0.023089297781033174, -0.13945400819832843, 0.10560252775146167, -0.06932454750621839, -0.1428200706898693, 0.12078234041756433, 0.4097966958014738, -0.3188387465530208, -0.2941117853162781, 0.14507776711945466, -0.2557410662254644, -0.13138480732099167, 0.16361803100222633, -0.09323115265786848, 0.13215138803391868, 0.08294205354260546, -0.01851754793749442, 3.614437042011155e-05, -0.305325056869714, 0.26709623817568795, 0.06382383266463876, 0.27792695135114687, 0.008773860764146471, 0.15904284867602178, 0.05148344109987929, -0.03531505310878394, 0.02786366470039837, -0.16460275437150682, 0.17396913751560664, 0.24392991689484686, 0.14694278670977506, 0.3716912923735522, -0.4159840160892123, -0.12346329064461142, 0.14945042220550397, 0.050183121972377336, 0.03535098480781363, 0.02704025437641475, -0.2633420524948705, 0.011537518758799822, -0.14331416229880045, -0.1416973190840393, -0.032717663363857556, -0.01694182971019357, 0.043697279016856876, -0.31226205686846426, 0.03596405530697666, -0.0016059844044017761, 0.034039125544950366, -0.09072937874404328, -0.15581324246401587, -0.03746452107877722, 0.14280852570848923, 0.13116822444504897, -0.05272337820728324, 0.1727042748363659, -0.11192570208934033, -0.1861831991977635, 0.39914429288298364, -0.005696891644407833, -0.23645627157141766, 0.08244120517707733, -0.0963983369458999, -0.08321104461922207, 0.16137151456704096, 0.17290908439520983, 0.14419102645848716, -0.16879992199588625, 0.0936032426635927, -0.05925064070089277, 0.13277821310810625, 0.05842865970806174, -0.06880858323965518, 0.12641674242100664, 0.1922718828566195, 0.12855995867017006, 0.15799776184195208, -0.05787752571678351, -0.23681396878664457, -0.25793376348410096, -0.1392695360349506, -0.22756545550914276, 0.03365170858829977, -0.15503056928291842, -0.18725489558918135, 0.38516902759493815, 0.15854791786876463, 0.10854571459016629, 0.10507193777644601, 0.25025957057045567, 0.15283419721065059, -0.04205984238623863, 0.07691795219268117, 0.14247096338797183, 0.044734647122418716, 0.1259418721089051, -0.25484686295246883, 0.196186928363103, 0.1058129425870166] |
710.0242 | High-fidelity continuous-variable quantum teleportation toward
multi-step quantum operations | The progress in quantum operations of continuous-variable (CV) schemes can be
reduced to that in CV quantum teleportation. The fidelity of quantum
teleportation of an optical setup is limited by the finite degree of quantum
correlation which can be prepared with a pair of finitely squeezed states.
Reports of improvement of squeezing level have appeared recently, and we
adopted the improved methods in our experimental system of quantum
teleportation. As a result, we teleported a coherent state with a fidelity
$F=0.83\pm 0.01$, which is better than any other figures reported to date. In
this paper, we introduce a measure $n_{s}$, the number of teleportations
expected to be carried out sequentially. Our result corresponds to
$n_{s}$=5.0$\pm$0.4. It suggests that our improvement would enable us to
proceed toward more advanced quantum operations involving multi-step quantum
operations.
| quant-ph | the progress in quantum operations of continuousvariable cv schemes can be reduced to that in cv quantum teleportation the fidelity of quantum teleportation of an optical setup is limited by the finite degree of quantum correlation which can be prepared with a pair of finitely squeezed states reports of improvement of squeezing level have appeared recently and we adopted the improved methods in our experimental system of quantum teleportation as a result we teleported a coherent state with a fidelity f083pm 001 which is better than any other figures reported to date in this paper we introduce a measure n_s the number of teleportations expected to be carried out sequentially our result corresponds to n_s50pm04 it suggests that our improvement would enable us to proceed toward more advanced quantum operations involving multistep quantum operations | [['the', 'progress', 'in', 'quantum', 'operations', 'of', 'continuousvariable', 'cv', 'schemes', 'can', 'be', 'reduced', 'to', 'that', 'in', 'cv', 'quantum', 'teleportation', 'the', 'fidelity', 'of', 'quantum', 'teleportation', 'of', 'an', 'optical', 'setup', 'is', 'limited', 'by', 'the', 'finite', 'degree', 'of', 'quantum', 'correlation', 'which', 'can', 'be', 'prepared', 'with', 'a', 'pair', 'of', 'finitely', 'squeezed', 'states', 'reports', 'of', 'improvement', 'of', 'squeezing', 'level', 'have', 'appeared', 'recently', 'and', 'we', 'adopted', 'the', 'improved', 'methods', 'in', 'our', 'experimental', 'system', 'of', 'quantum', 'teleportation', 'as', 'a', 'result', 'we', 'teleported', 'a', 'coherent', 'state', 'with', 'a', 'fidelity', 'f083pm', '001', 'which', 'is', 'better', 'than', 'any', 'other', 'figures', 'reported', 'to', 'date', 'in', 'this', 'paper', 'we', 'introduce', 'a', 'measure', 'n_s', 'the', 'number', 'of', 'teleportations', 'expected', 'to', 'be', 'carried', 'out', 'sequentially', 'our', 'result', 'corresponds', 'to', 'n_s50pm04', 'it', 'suggests', 'that', 'our', 'improvement', 'would', 'enable', 'us', 'to', 'proceed', 'toward', 'more', 'advanced', 'quantum', 'operations', 'involving', 'multistep', 'quantum', 'operations']] | [-0.12543873675784914, 0.1660202060268079, -0.14323760036319128, -0.005950465707538762, 0.013866426110987297, -0.1963164032909624, 0.09930786918266676, 0.37937036049411155, -0.22726470204846314, -0.2949906488400743, 0.044894989019005814, -0.23345439675066507, -0.10073184199052665, 0.28243237889061373, -0.10681550864087926, 0.1412613752834273, 0.09920454901558431, 0.032815223847247776, -0.07762112852651626, -0.33637235479281197, 0.25293859764827753, 0.07127547820511443, 0.27743278913355124, 0.025331932264662377, 0.0722454374913606, -0.015126692609170057, 0.01831258488836642, -0.0041059032073738335, -0.09712982835712451, 0.14076431098025446, 0.3014526921465541, 0.12505777331887546, 0.2636180974712426, -0.4093532912560146, -0.22133361437348262, 0.12436572523350178, 0.11029039773491219, 0.18187981469479078, -0.0018253067388617308, -0.30331828406214656, 0.05820502540992686, -0.2286407977412499, -0.08622359062693166, -0.1073600638756585, -0.026489315625054365, -0.05824186868531714, -0.2558748444090738, 0.06932570166518968, 0.04921890745313386, 0.042362982647098375, 0.06637253904376518, -0.06365812869978871, 0.02074135219057401, 0.10987068424142446, -0.0845297575455554, 0.06936059658619342, 0.13996453445305992, -0.130177159537914, -0.21975381323445067, 0.33964389913616644, -0.05750402603282992, -0.1817097349875522, 0.14076224893903022, -0.10857756564633525, -0.12073267326041152, 0.07277557068984165, 0.11394075689454577, 0.10868198219968965, -0.08448542055504565, 0.010778030334305104, -0.01819930672927788, 0.21961057766086675, 0.04933020511331657, 0.1432789267026678, 0.1699074323132112, 0.12008962807753547, 0.09087712423713652, 0.19794464619101773, -0.08154579845369991, -0.12992498375101466, -0.2911929064606683, -0.23421737530522727, -0.21709745107430287, 0.14034027554743894, -0.027749391085583767, -0.10058467660212156, 0.4040773705029013, 0.1779769022638599, 0.1578713026546845, -0.022557499509826866, 0.2911579070231793, 0.13748698619328384, 0.07133779192967764, 0.043055713140127023, 0.26120568516357295, 0.14618974644161592, 0.06930511084977876, -0.20221384256287958, 0.0625242375112562, -0.01645807797533714] |
710.0243 | High-Order Nonparametric Belief-Propagation for Fast Image Inpainting | In this paper, we use belief-propagation techniques to develop fast
algorithms for image inpainting. Unlike traditional gradient-based approaches,
which may require many iterations to converge, our techniques achieve
competitive results after only a few iterations. On the other hand, while
belief-propagation techniques are often unable to deal with high-order models
due to the explosion in the size of messages, we avoid this problem by
approximating our high-order prior model using a Gaussian mixture. By using
such an approximation, we are able to inpaint images quickly while at the same
time retaining good visual results.
| cs.CV | in this paper we use beliefpropagation techniques to develop fast algorithms for image inpainting unlike traditional gradientbased approaches which may require many iterations to converge our techniques achieve competitive results after only a few iterations on the other hand while beliefpropagation techniques are often unable to deal with highorder models due to the explosion in the size of messages we avoid this problem by approximating our highorder prior model using a gaussian mixture by using such an approximation we are able to inpaint images quickly while at the same time retaining good visual results | [['in', 'this', 'paper', 'we', 'use', 'beliefpropagation', 'techniques', 'to', 'develop', 'fast', 'algorithms', 'for', 'image', 'inpainting', 'unlike', 'traditional', 'gradientbased', 'approaches', 'which', 'may', 'require', 'many', 'iterations', 'to', 'converge', 'our', 'techniques', 'achieve', 'competitive', 'results', 'after', 'only', 'a', 'few', 'iterations', 'on', 'the', 'other', 'hand', 'while', 'beliefpropagation', 'techniques', 'are', 'often', 'unable', 'to', 'deal', 'with', 'highorder', 'models', 'due', 'to', 'the', 'explosion', 'in', 'the', 'size', 'of', 'messages', 'we', 'avoid', 'this', 'problem', 'by', 'approximating', 'our', 'highorder', 'prior', 'model', 'using', 'a', 'gaussian', 'mixture', 'by', 'using', 'such', 'an', 'approximation', 'we', 'are', 'able', 'to', 'inpaint', 'images', 'quickly', 'while', 'at', 'the', 'same', 'time', 'retaining', 'good', 'visual', 'results']] | [0.008694484869533397, -0.008883050814898872, -0.08571443663404739, 0.06494164641976277, -0.08112804330092796, -0.18584771205651315, 0.06304052178970874, 0.44994974140315613, -0.2693857646032058, -0.3335347277746397, 0.12368498647714311, -0.25791170668015456, -0.1550413435052565, 0.19198646861316754, -0.15231790151843366, 0.13909842228477307, 0.1199450150932225, 0.02661650543636147, -0.10415637072056849, -0.30688948058919546, 0.2583562487295452, 0.07877660429778885, 0.2620180932844573, -0.019946648466816926, 0.09938121196675173, -0.030593380678762147, -0.030331098964992673, 0.001858644435142583, -0.08415486613793814, 0.11917860226760163, 0.2832395425696806, 0.15231563797359296, 0.3423387235813239, -0.4883931778529857, -0.24789757076452704, 0.11614327290977174, 0.20771290932564027, 0.18210813279159643, -0.04654989664645945, -0.26928882495292084, 0.13248413420242675, -0.12443774548220507, -0.04100604428156735, -0.16880672939240615, -0.10779691638519115, 0.04720965426965082, -0.30910989858502363, 0.041020349807482454, 0.07616445701073934, -0.014718494001538195, 0.0038212420557566145, -0.11705037566060399, 0.09724452646766255, 0.11239004144048755, 0.06732908608466188, 0.04994695210096208, 0.07850975185593075, -0.1542134538857623, -0.11566817014418701, 0.3637965210178431, -0.058734677548698606, -0.22288379985640974, 0.2605850784444904, -0.0332008188917361, -0.15930410119348226, 0.18561107278652886, 0.20166572773868732, 0.16683965807463577, -0.12134302422364658, 0.03417398083083173, -0.007945955265313387, 0.1930631114209586, 0.07486255456039563, -0.006759556981318808, 0.1274175204911289, 0.1588581700589783, 0.07706058127842745, 0.08853804861613986, -0.10027109831323887, -0.11252276224896629, -0.1848564340158346, -0.06223938878665262, -0.19576994927124458, -0.05515087743666261, -0.09236652209383851, -0.16563357897300987, 0.3747132911156904, 0.2535148833127831, 0.22071769819693995, 0.1305086436852357, 0.3975020627629884, 0.08375235410417094, 0.09749475450433315, 0.1279454546153268, 0.20621065812388514, 0.06733928199243197, 0.10331802921211149, -0.16025105199127637, 0.0803705126597011, 0.08301959153106238] |
710.0244 | Theoretical Engineering and Satellite Comlink of a PTVD-SHAM System | This paper focuses on super helical memory system's design, 'Engineering,
Architectural and Satellite Communications' as a theoretical approach of an
invention-model to 'store time-data'. The current release entails three
concepts: 1- an in-depth theoretical physics engineering of the chip including
its, 2- architectural concept based on VLSI methods, and 3- the time-data
versus data-time algorithm. The 'Parallel Time Varying & Data Super-helical
Access Memory' (PTVD-SHAM), possesses a waterfall effect in its architecture
dealing with the process of voltage output-switch into diverse logic and
quantum states described as 'Boolean logic & image-logic', respectively.
Quantum dot computational methods are explained by utilizing coiled carbon
nanotubes (CCNTs) and CNT field effect transistors (CNFETs) in the chip's
architecture. Quantum confinement, categorized quantum well substrate, and
B-field flux involvements are discussed in theory. Multi-access of coherent
sequences of 'qubit addressing' in any magnitude, gained as pre-defined, here
e.g., the 'big O notation' asymptotically confined into singularity while
possessing a magnitude of 'infinity' for the orientation of array displacement.
Gaussian curvature of k<0 versus k'>(k<0) is debated in aim of specifying the
2D electron gas characteristics, data storage system for defining short and
long time cycles for different CCNT diameters where space-time continuum is
folded by chance for the particle. Precise pre/post data timing for, e.g.,
seismic waves before earthquake mantle-reach event occurrence, including time
varying self-clocking devices in diverse geographic locations for radar systems
is illustrated in the Subsections of the paper. The theoretical fabrication
process, electromigration between chip's components is discussed as well.
| cs.CE cs.AR | this paper focuses on super helical memory systems design engineering architectural and satellite communications as a theoretical approach of an inventionmodel to store timedata the current release entails three concepts 1 an indepth theoretical physics engineering of the chip including its 2 architectural concept based on vlsi methods and 3 the timedata versus datatime algorithm the parallel time varying data superhelical access memory ptvdsham possesses a waterfall effect in its architecture dealing with the process of voltage outputswitch into diverse logic and quantum states described as boolean logic imagelogic respectively quantum dot computational methods are explained by utilizing coiled carbon nanotubes ccnts and cnt field effect transistors cnfets in the chips architecture quantum confinement categorized quantum well substrate and bfield flux involvements are discussed in theory multiaccess of coherent sequences of qubit addressing in any magnitude gained as predefined here eg the big o notation asymptotically confined into singularity while possessing a magnitude of infinity for the orientation of array displacement gaussian curvature of k0 versus kk0 is debated in aim of specifying the 2d electron gas characteristics data storage system for defining short and long time cycles for different ccnt diameters where spacetime continuum is folded by chance for the particle precise prepost data timing for eg seismic waves before earthquake mantlereach event occurrence including time varying selfclocking devices in diverse geographic locations for radar systems is illustrated in the subsections of the paper the theoretical fabrication process electromigration between chips components is discussed as well | [['this', 'paper', 'focuses', 'on', 'super', 'helical', 'memory', 'systems', 'design', 'engineering', 'architectural', 'and', 'satellite', 'communications', 'as', 'a', 'theoretical', 'approach', 'of', 'an', 'inventionmodel', 'to', 'store', 'timedata', 'the', 'current', 'release', 'entails', 'three', 'concepts', '1', 'an', 'indepth', 'theoretical', 'physics', 'engineering', 'of', 'the', 'chip', 'including', 'its', '2', 'architectural', 'concept', 'based', 'on', 'vlsi', 'methods', 'and', '3', 'the', 'timedata', 'versus', 'datatime', 'algorithm', 'the', 'parallel', 'time', 'varying', 'data', 'superhelical', 'access', 'memory', 'ptvdsham', 'possesses', 'a', 'waterfall', 'effect', 'in', 'its', 'architecture', 'dealing', 'with', 'the', 'process', 'of', 'voltage', 'outputswitch', 'into', 'diverse', 'logic', 'and', 'quantum', 'states', 'described', 'as', 'boolean', 'logic', 'imagelogic', 'respectively', 'quantum', 'dot', 'computational', 'methods', 'are', 'explained', 'by', 'utilizing', 'coiled', 'carbon', 'nanotubes', 'ccnts', 'and', 'cnt', 'field', 'effect', 'transistors', 'cnfets', 'in', 'the', 'chips', 'architecture', 'quantum', 'confinement', 'categorized', 'quantum', 'well', 'substrate', 'and', 'bfield', 'flux', 'involvements', 'are', 'discussed', 'in', 'theory', 'multiaccess', 'of', 'coherent', 'sequences', 'of', 'qubit', 'addressing', 'in', 'any', 'magnitude', 'gained', 'as', 'predefined', 'here', 'eg', 'the', 'big', 'o', 'notation', 'asymptotically', 'confined', 'into', 'singularity', 'while', 'possessing', 'a', 'magnitude', 'of', 'infinity', 'for', 'the', 'orientation', 'of', 'array', 'displacement', 'gaussian', 'curvature', 'of', 'k0', 'versus', 'kk0', 'is', 'debated', 'in', 'aim', 'of', 'specifying', 'the', '2d', 'electron', 'gas', 'characteristics', 'data', 'storage', 'system', 'for', 'defining', 'short', 'and', 'long', 'time', 'cycles', 'for', 'different', 'ccnt', 'diameters', 'where', 'spacetime', 'continuum', 'is', 'folded', 'by', 'chance', 'for', 'the', 'particle', 'precise', 'prepost', 'data', 'timing', 'for', 'eg', 'seismic', 'waves', 'before', 'earthquake', 'mantlereach', 'event', 'occurrence', 'including', 'time', 'varying', 'selfclocking', 'devices', 'in', 'diverse', 'geographic', 'locations', 'for', 'radar', 'systems', 'is', 'illustrated', 'in', 'the', 'subsections', 'of', 'the', 'paper', 'the', 'theoretical', 'fabrication', 'process', 'electromigration', 'between', 'chips', 'components', 'is', 'discussed', 'as', 'well']] | [-0.1630205779066652, 0.13222214689121756, -0.01235659225397588, 0.03731969732818167, -0.028445743926567957, -0.19620816561121804, 0.03487536399479722, 0.4037636311588964, -0.24939689448219723, -0.32425961690799643, 0.08461148582525008, -0.2451444270084418, -0.12116889512205185, 0.2129648631521074, -0.07659326103360703, 0.07711043317637328, 0.03560812343202997, -0.017847830424822558, -0.03155010009134761, -0.19859623313629224, 0.2412031331739854, 0.07087324348055214, 0.3255679959858147, 0.02731609423644841, 0.09845133669465819, 0.0057847014638052014, -0.014837591051279258, -0.01136790265251572, -0.1064610526605975, 0.0941815967921381, 0.2693588213557329, 0.11703371687035542, 0.2496939057232036, -0.5033929019390295, -0.20838985001513113, 0.019659268980224926, 0.14569843038383018, 0.08448122584413795, -0.03466183252603514, -0.29163206232478844, 0.04420275042163364, -0.1540947638161015, -0.09331994800346971, -0.027124945152415116, 0.06283014645887305, 0.03466640758003147, -0.199810007509465, 0.02871208094826822, 0.07490756916910565, 0.10746505082546112, -0.04845766506993338, -0.12502274168024693, -0.001739163988774332, 0.10209970671773287, 0.0004976067612005863, 0.009606056306317138, 0.19037984744742667, -0.11505662060517352, -0.16767272645180734, 0.36145473014524515, 0.007040033144100259, -0.15064855433241367, 0.13554862471452603, -0.08421049148406988, -0.10451172032238294, 0.10509339098546965, 0.18048068178322865, 0.05974020345408159, -0.16070401867230732, 0.08543381362739334, 0.07117474120265493, 0.15492202673728267, 0.10111970838721997, 0.0951719180350968, 0.24351160414904977, 0.26515764808864334, 0.03574757223902149, 0.13966087307295919, -0.11359591531315043, -0.11227270935196429, -0.26344947607334085, -0.15270265392512858, -0.19078521549818106, 0.05059197315131314, -0.09957785175805232, -0.1840072211828859, 0.3943309304459641, 0.12089114238818487, 0.13624447525750535, 0.02167750097772417, 0.33017013567344594, 0.06406798670759599, 0.07724184657029885, 0.03457949194901933, 0.17705259522190317, 0.13169103989882083, 0.14808157334045974, -0.202977033337811, 0.0586415527194428, -0.002637069414292152] |
710.0245 | On-shell renormalisation constants including two different nonzero
masses | We present results for the effect of a second massive quark in the relation
between the pole and the minimal subtracted quark mass at the three loop level.
We also consider the analogous effect for the wave function renormalisation
constant. Some technical details of the calculation are given. Our result is
phenomenologically relevant for the bottom quark including virtual charm
effects.
| hep-ph | we present results for the effect of a second massive quark in the relation between the pole and the minimal subtracted quark mass at the three loop level we also consider the analogous effect for the wave function renormalisation constant some technical details of the calculation are given our result is phenomenologically relevant for the bottom quark including virtual charm effects | [['we', 'present', 'results', 'for', 'the', 'effect', 'of', 'a', 'second', 'massive', 'quark', 'in', 'the', 'relation', 'between', 'the', 'pole', 'and', 'the', 'minimal', 'subtracted', 'quark', 'mass', 'at', 'the', 'three', 'loop', 'level', 'we', 'also', 'consider', 'the', 'analogous', 'effect', 'for', 'the', 'wave', 'function', 'renormalisation', 'constant', 'some', 'technical', 'details', 'of', 'the', 'calculation', 'are', 'given', 'our', 'result', 'is', 'phenomenologically', 'relevant', 'for', 'the', 'bottom', 'quark', 'including', 'virtual', 'charm', 'effects']] | [-0.1062132880610765, 0.2132164439659749, -0.07423830242277901, 0.15542782733377192, -0.07442251785246075, -0.05440789436230619, 0.09051835893836545, 0.29298437578359343, -0.18858025261185696, -0.27121711613946275, 0.04707925914611179, -0.2785775290466234, -0.10035255471946763, 0.17355982201998352, 0.03570764926338538, 0.06650489140263774, 0.050119613556832567, 0.04756141582992478, -0.08913853813390263, -0.22160788463451517, 0.4288673988986211, -0.001402147282220301, 0.19249107238271687, 0.2041255775228387, 0.06915694253030615, 0.011222103038100435, -0.08829371844891643, -0.05629801670791673, -0.10945846457950405, 0.027240516341169228, 0.16114017931595598, 0.010945257490317597, 0.19261339312938394, -0.3748801589073216, -0.1491007235084401, 0.04004035556505694, 0.08295713682643703, 0.1548068680815765, -0.08021425996281084, -0.23966514490178373, 0.10146447931049911, -0.19659964885318376, -0.20050004800995352, -0.03443055389235254, -0.012443366742952437, -0.07530812622622225, -0.2764374922548772, 0.09640116158626653, -0.029486620554425677, -0.012622162562291154, -0.024464697462552396, -0.20796374383489372, -0.05403344017514562, 0.15718088263920585, 0.08632941350348478, 0.05813436532015225, 0.1256855088209764, -0.18408626138392958, -0.08230658070962937, 0.4168337113911011, -0.09891348854318018, -0.24502602363096887, 0.11294110354463585, -0.19011127087669294, -0.17514914843696552, 0.0666075767491196, 0.17577363441881463, 0.08075269067385157, -0.18259148685200538, 0.09699278971329178, -0.06278281034419855, 0.11840252173667559, 0.07595081127355577, 0.061422034563710454, 0.20591361466489855, 0.1810922440309383, -0.023101245778322708, 0.13393986216349313, -0.08608879792488745, -0.1060837991153974, -0.42852289718194086, -0.11488653646140802, -0.08246409338822619, -0.0018448289018601453, -0.1321722438831367, -0.14716677339537618, 0.429343441715006, 0.1301923716654543, 0.20090537696511898, 0.0484897865013021, 0.3408546325307889, 0.1401244856638559, 0.07502473726654883, 0.08259901966991239, 0.2774689142524501, 0.15075502517159844, 0.10214416850663599, -0.2867685939900035, 0.00041921219223591146, 0.10225075084838223] |
710.0246 | Suppression of electron spin relaxation in Mn-doped GaAs | We report a surprisingly long spin relaxation time of electrons in Mn-doped
p-GaAs. The spin relaxation time scales with the optical pumping and increases
from 12 ns in the dark to 160 ns upon saturation. This behavior is associated
with the difference in spin relaxation rates of electrons precessing in the
fluctuating fields of ionized or neutral Mn acceptors, respectively. For the
latter the antiferromagnetic exchange interaction between a Mn ion and a bound
hole results in a partial compensation of these fluctuating fields, leading to
the enhanced spin memory.
| cond-mat.mtrl-sci | we report a surprisingly long spin relaxation time of electrons in mndoped pgaas the spin relaxation time scales with the optical pumping and increases from 12 ns in the dark to 160 ns upon saturation this behavior is associated with the difference in spin relaxation rates of electrons precessing in the fluctuating fields of ionized or neutral mn acceptors respectively for the latter the antiferromagnetic exchange interaction between a mn ion and a bound hole results in a partial compensation of these fluctuating fields leading to the enhanced spin memory | [['we', 'report', 'a', 'surprisingly', 'long', 'spin', 'relaxation', 'time', 'of', 'electrons', 'in', 'mndoped', 'pgaas', 'the', 'spin', 'relaxation', 'time', 'scales', 'with', 'the', 'optical', 'pumping', 'and', 'increases', 'from', '12', 'ns', 'in', 'the', 'dark', 'to', '160', 'ns', 'upon', 'saturation', 'this', 'behavior', 'is', 'associated', 'with', 'the', 'difference', 'in', 'spin', 'relaxation', 'rates', 'of', 'electrons', 'precessing', 'in', 'the', 'fluctuating', 'fields', 'of', 'ionized', 'or', 'neutral', 'mn', 'acceptors', 'respectively', 'for', 'the', 'latter', 'the', 'antiferromagnetic', 'exchange', 'interaction', 'between', 'a', 'mn', 'ion', 'and', 'a', 'bound', 'hole', 'results', 'in', 'a', 'partial', 'compensation', 'of', 'these', 'fluctuating', 'fields', 'leading', 'to', 'the', 'enhanced', 'spin', 'memory']] | [-0.1780922726676282, 0.26147128142313, 0.00045896171488695673, 0.06783899434117807, 0.014716996976898777, -0.11914157993160188, 0.05024820834191309, 0.3785914201910297, -0.2718316398561001, -0.32029729733864465, 0.021156500128563495, -0.31917526346320907, 0.01226074059959501, 0.15090242885311858, 0.08627286422480311, -0.04644619364407845, -0.04444983959353219, -0.014098810394191079, -0.12213975503626796, -0.21132355399378058, 0.2374447999535025, 0.03827246273350385, 0.23636929753960834, 0.09517713377976583, 0.09468599700679382, 0.03227377081703808, 0.08644479922950268, -0.008194282371550798, -0.1036853646264515, 0.06339168065331048, 0.22100900710728538, -0.07202684978644053, 0.194477193386087, -0.4803682099044737, -0.16773816065655814, -0.004294989966890878, 0.13497527507651183, 0.19134715176704858, -0.09223203952165528, -0.23445412199168156, 0.01843082978286677, -0.16968102195403642, -0.08900739469940568, 0.0036615050811734462, 0.046799573757582244, 0.05049251679900206, -0.2756885258894828, 0.18457811398095347, 0.1336162364964063, 0.027861287709998173, -0.11714932667091489, -0.09760301884574195, -0.0448934193338371, 0.04513544676463223, 0.10263476747139874, 0.07929856200805968, 0.16662630130950776, -0.12398160860304618, -0.15088875838814098, 0.29424210713348453, -0.13071255004421498, -0.12741289043592083, 0.18985680134760008, -0.23336799073343475, -0.0584384082108348, 0.2040666525148683, 0.15148255089815293, 0.14579000008848703, -0.11847921216136051, 0.05212739520162965, 0.021787660144683387, 0.21682623114599361, 0.04996397675325473, 0.102066412081735, 0.25321680045583184, 0.19231635525356977, 0.05764462073954443, 0.13014103869613286, -0.14870417841464384, -0.0936700279927916, -0.19676210532359417, -0.16787304308899265, -0.2000016341348075, 0.14136074939483984, -0.08524520734920063, -0.09541617237652342, 0.39151912656509213, 0.11732887091735998, 0.17406204452531204, -0.016592079618324835, 0.24991058057381046, 0.10123480012019476, 0.05217510223802593, 0.08125529192491537, 0.24330007086197536, 0.1939466438566645, 0.15194884870304828, -0.3779505344444058, 0.04804484555691791, -0.025048010553129847] |
710.0247 | Spectroscopic measurements of dynamic fibrils in the Ca {\small{II}}
8662 {\AA} line | We present high spatial resolution spectroscopic measurements of dynamic
fibrils (DFs) in the Ca {\small{II}} 8662 {\AA} line. These data show clear
Doppler shifts in the identified DFs, which demonstrates that at least a subset
of DFs are actual mass motions in the chromosphere. A statistical analysis of
26 DFs reveals a strong and statistically significant correlation between the
maximal velocity and the deceleration. The range of the velocities and the
decelerations are substantially lower, about a factor two, in our spectroscopic
observations compared to the earlier results based on proper motion in narrow
band images. There are fundamental differences in the different observational
methods; when DFs are observed spectroscopically the measured Doppler shifts
are a result of the atmospheric velocity, weighted with the response function
to velocity over an extended height. When the proper motion of DFs is observed
in narrow band images, the movement of the top of the DF is observed. This
point is sharply defined because of the high contrast between the DF and the
surroundings. The observational differences between the two methods are
examined by several numerical experiments using both numerical simulations and
a time series of narrow band H$\alpha$ images. With basis in the simulations we
conclude that the lower maximal velocity is explained by the low formation
height of the Ca IR line. We conclude that the present observations support the
earlier result that DFs are driven by magneto-acoustic shocks exited by
convective flows and p-modes.
| astro-ph | we present high spatial resolution spectroscopic measurements of dynamic fibrils dfs in the ca smallii 8662 aa line these data show clear doppler shifts in the identified dfs which demonstrates that at least a subset of dfs are actual mass motions in the chromosphere a statistical analysis of 26 dfs reveals a strong and statistically significant correlation between the maximal velocity and the deceleration the range of the velocities and the decelerations are substantially lower about a factor two in our spectroscopic observations compared to the earlier results based on proper motion in narrow band images there are fundamental differences in the different observational methods when dfs are observed spectroscopically the measured doppler shifts are a result of the atmospheric velocity weighted with the response function to velocity over an extended height when the proper motion of dfs is observed in narrow band images the movement of the top of the df is observed this point is sharply defined because of the high contrast between the df and the surroundings the observational differences between the two methods are examined by several numerical experiments using both numerical simulations and a time series of narrow band halpha images with basis in the simulations we conclude that the lower maximal velocity is explained by the low formation height of the ca ir line we conclude that the present observations support the earlier result that dfs are driven by magnetoacoustic shocks exited by convective flows and pmodes | [['we', 'present', 'high', 'spatial', 'resolution', 'spectroscopic', 'measurements', 'of', 'dynamic', 'fibrils', 'dfs', 'in', 'the', 'ca', 'smallii', '8662', 'aa', 'line', 'these', 'data', 'show', 'clear', 'doppler', 'shifts', 'in', 'the', 'identified', 'dfs', 'which', 'demonstrates', 'that', 'at', 'least', 'a', 'subset', 'of', 'dfs', 'are', 'actual', 'mass', 'motions', 'in', 'the', 'chromosphere', 'a', 'statistical', 'analysis', 'of', '26', 'dfs', 'reveals', 'a', 'strong', 'and', 'statistically', 'significant', 'correlation', 'between', 'the', 'maximal', 'velocity', 'and', 'the', 'deceleration', 'the', 'range', 'of', 'the', 'velocities', 'and', 'the', 'decelerations', 'are', 'substantially', 'lower', 'about', 'a', 'factor', 'two', 'in', 'our', 'spectroscopic', 'observations', 'compared', 'to', 'the', 'earlier', 'results', 'based', 'on', 'proper', 'motion', 'in', 'narrow', 'band', 'images', 'there', 'are', 'fundamental', 'differences', 'in', 'the', 'different', 'observational', 'methods', 'when', 'dfs', 'are', 'observed', 'spectroscopically', 'the', 'measured', 'doppler', 'shifts', 'are', 'a', 'result', 'of', 'the', 'atmospheric', 'velocity', 'weighted', 'with', 'the', 'response', 'function', 'to', 'velocity', 'over', 'an', 'extended', 'height', 'when', 'the', 'proper', 'motion', 'of', 'dfs', 'is', 'observed', 'in', 'narrow', 'band', 'images', 'the', 'movement', 'of', 'the', 'top', 'of', 'the', 'df', 'is', 'observed', 'this', 'point', 'is', 'sharply', 'defined', 'because', 'of', 'the', 'high', 'contrast', 'between', 'the', 'df', 'and', 'the', 'surroundings', 'the', 'observational', 'differences', 'between', 'the', 'two', 'methods', 'are', 'examined', 'by', 'several', 'numerical', 'experiments', 'using', 'both', 'numerical', 'simulations', 'and', 'a', 'time', 'series', 'of', 'narrow', 'band', 'halpha', 'images', 'with', 'basis', 'in', 'the', 'simulations', 'we', 'conclude', 'that', 'the', 'lower', 'maximal', 'velocity', 'is', 'explained', 'by', 'the', 'low', 'formation', 'height', 'of', 'the', 'ca', 'ir', 'line', 'we', 'conclude', 'that', 'the', 'present', 'observations', 'support', 'the', 'earlier', 'result', 'that', 'dfs', 'are', 'driven', 'by', 'magnetoacoustic', 'shocks', 'exited', 'by', 'convective', 'flows', 'and', 'pmodes']] | [-0.12456285884249801, 0.13302325911889448, -0.0473687861495736, 0.06394444787845954, -0.032327455323197196, -0.05692189375385026, 0.0461532123702432, 0.4587966369788262, -0.23327744164980838, -0.32301893545129945, 0.06600109011142645, -0.25750567211215347, -0.08804321478550084, 0.21886177891711436, -0.0006524670314936599, 0.012961435535093307, 0.09676663978564098, -0.018828774350195015, -0.06458816615420139, -0.18767866130036973, 0.27842582123785103, 0.05503521398795107, 0.2446074443643197, 0.020117652970741404, 0.040480637695344, -0.06127143108232085, -0.09401138372380625, 0.06635115514480516, -0.14109226543620357, 0.07792904942242568, 0.21393438555061633, 0.1038116109769114, 0.26518707276006376, -0.36397553973808144, -0.23434332363338264, 0.0279596190965034, 0.16519348020280503, 0.07616252255239254, -0.03190476447584354, -0.27962770228551254, 0.052945980542408656, -0.09780336372758269, -0.10806830902199054, -0.004797701435240586, 0.04008503695363025, 0.04657630800954567, -0.2328401594846086, 0.12203913695690768, 0.028246066523407977, 0.13581032230334034, -0.1066460756908271, -0.10859971057454293, -0.08726668799938711, 0.09391941594499671, 0.020434087278967922, 0.019736523647631003, 0.11272219793624745, -0.10842561608823725, -0.08692266615391478, 0.38154600025731916, -0.10792347739069638, -0.10970662514802285, 0.20597877765982603, -0.20593650177436734, -0.10831156511952685, 0.18658657861904296, 0.1252668674888276, 0.09740460374534961, -0.09349038967853585, 0.00436410434654248, -0.05298213091340254, 0.1719104635365902, 0.058215104664044746, 0.032334896529955436, 0.21087685244712084, 0.1086326626544118, 0.03293889860260831, 0.0733818859261199, -0.20612208668069437, -0.05547480992895882, -0.27362733768406977, -0.11994452684038234, -0.14026836032232592, -0.015356963830865334, -0.11567194837740573, -0.13157491120009507, 0.38301982401392987, 0.1414786666547033, 0.25030472906775897, 0.0459165725407714, 0.3185355361216232, 0.1306166286129997, 0.06854844927279787, 0.10308073224761516, 0.2950722685984282, 0.14168878796429582, 0.09606669454263862, -0.26009994597089564, 0.06873128943776419, 0.007607421614537554] |
710.0248 | Searches for the Higgs Boson and Supersymmetry at the Tevatron | The D0 and CDF experiments at the proton-antiproton collider Tevatron have
extensively searched for the Higgs boson and signals of supersymmetry using a
wide range of signatures. The status of these searches is reviewed with a focus
on recent measurements.
| hep-ex | the d0 and cdf experiments at the protonantiproton collider tevatron have extensively searched for the higgs boson and signals of supersymmetry using a wide range of signatures the status of these searches is reviewed with a focus on recent measurements | [['the', 'd0', 'and', 'cdf', 'experiments', 'at', 'the', 'protonantiproton', 'collider', 'tevatron', 'have', 'extensively', 'searched', 'for', 'the', 'higgs', 'boson', 'and', 'signals', 'of', 'supersymmetry', 'using', 'a', 'wide', 'range', 'of', 'signatures', 'the', 'status', 'of', 'these', 'searches', 'is', 'reviewed', 'with', 'a', 'focus', 'on', 'recent', 'measurements']] | [-0.05298682095017284, 0.1927388036623597, -0.0701319971936755, 0.08108504360134247, -0.08411048199050128, -0.15741171659901737, -0.004140213178470731, 0.3260240194387734, -0.15298495715251192, -0.2858598863007501, 0.09999424759298563, -0.36819676687009634, 0.023708046367391943, 0.21511282252613456, 0.14375279537634925, 0.16816198492888362, 0.16419466049410403, -0.024675204185768962, -0.10518163298256696, -0.2776100532850251, 0.25401308946311474, 0.05676075837109238, 0.22582563667092473, 0.12841918426565826, 0.08506125006824732, 0.06548905560630373, -0.11541324113495648, -0.07044161278754472, -0.15319323110161348, 0.07099669829476625, 0.28077616171794945, 0.16807349439477548, 0.11896219598129391, -0.3503321573603898, -0.1077474542427808, 0.20222355315927415, 0.09497243064106442, 0.10312539990991354, -0.1847297980595613, -0.41373488316312435, 0.15805049755144865, -0.21700480458093807, -0.020666373195126653, -0.0017769380880054086, 0.0045570908579975365, -0.045058737974613905, -0.2679817475378513, 0.024965513817733154, -0.14880737509811298, 0.17835510238073765, 0.018167716288007795, -0.2463122396264225, -0.04727054268587381, -0.06742586230393499, 0.12780158088426105, 0.02249896620342042, 0.16899275588802992, -0.23052916629239917, -0.3111393742263317, 0.3091111099347472, -0.07063394468277692, -0.11790875717415475, 0.2808921442832798, -0.2494548260467127, -0.15997240513097494, 0.08884077849797904, 0.2992219059728086, 0.08475821884348989, -0.2226513483095914, 0.22247847041871865, -0.05698235291056335, 0.12985971132293345, 0.03643094412400387, 0.1051331453025341, 0.2884392765816301, 0.2690369253978133, -0.020490925962803885, 0.018335709208622576, -0.17504114007460886, -0.00929059344343841, -0.4853003017415176, -0.06592482831329108, -0.09372485051862896, -0.037366790045052764, 0.06528655976653681, -0.018084873002953826, 0.4099150804802775, 0.0928115269402042, 0.32479966767132284, 0.0065858124871738255, 0.2545544063206762, 0.08492191079712938, 0.07219132091631764, -0.009321395137885703, 0.3860264216549695, 0.13798875929787754, 0.23134826944442466, -0.21853753012837843, 0.027768521269899794, 0.011787785799242556] |
710.0249 | Strong-to-weak-coupling duality in the nonequilibrium interacting
resonant-level model | A strong-to-weak-coupling duality is established for the nonequilibrium
interacting resonant-level model, describing tunneling through a single
spinless level, capacitively coupled to two leads by a contact interaction. For
large capacitive coupling, U, and in the presence of a finite voltage bias, the
model maps onto an equivalent model with a small capacitive coupling \rho U'
\sim 1/ \rho U. Here \rho is the conduction-electron density of states. This
duality is generic to all high-energy cutoff schemes, however its details may
vary from one regularization scheme to another. In particular, it has the
status of an exact mapping within Abelian bosonization, applicable to all
repulsive interactions whether weak, intermediate or strong. On a lattice the
mapping is restricted to large U, and is controlled by the small parameter
1/\rho U. Explicit expressions are given for the low-energy scale, differential
conductance, and occupancy of the level in the limit where U is large.
| cond-mat.str-el cond-mat.mes-hall | a strongtoweakcoupling duality is established for the nonequilibrium interacting resonantlevel model describing tunneling through a single spinless level capacitively coupled to two leads by a contact interaction for large capacitive coupling u and in the presence of a finite voltage bias the model maps onto an equivalent model with a small capacitive coupling rho u sim 1 rho u here rho is the conductionelectron density of states this duality is generic to all highenergy cutoff schemes however its details may vary from one regularization scheme to another in particular it has the status of an exact mapping within abelian bosonization applicable to all repulsive interactions whether weak intermediate or strong on a lattice the mapping is restricted to large u and is controlled by the small parameter 1rho u explicit expressions are given for the lowenergy scale differential conductance and occupancy of the level in the limit where u is large | [['a', 'strongtoweakcoupling', 'duality', 'is', 'established', 'for', 'the', 'nonequilibrium', 'interacting', 'resonantlevel', 'model', 'describing', 'tunneling', 'through', 'a', 'single', 'spinless', 'level', 'capacitively', 'coupled', 'to', 'two', 'leads', 'by', 'a', 'contact', 'interaction', 'for', 'large', 'capacitive', 'coupling', 'u', 'and', 'in', 'the', 'presence', 'of', 'a', 'finite', 'voltage', 'bias', 'the', 'model', 'maps', 'onto', 'an', 'equivalent', 'model', 'with', 'a', 'small', 'capacitive', 'coupling', 'rho', 'u', 'sim', '1', 'rho', 'u', 'here', 'rho', 'is', 'the', 'conductionelectron', 'density', 'of', 'states', 'this', 'duality', 'is', 'generic', 'to', 'all', 'highenergy', 'cutoff', 'schemes', 'however', 'its', 'details', 'may', 'vary', 'from', 'one', 'regularization', 'scheme', 'to', 'another', 'in', 'particular', 'it', 'has', 'the', 'status', 'of', 'an', 'exact', 'mapping', 'within', 'abelian', 'bosonization', 'applicable', 'to', 'all', 'repulsive', 'interactions', 'whether', 'weak', 'intermediate', 'or', 'strong', 'on', 'a', 'lattice', 'the', 'mapping', 'is', 'restricted', 'to', 'large', 'u', 'and', 'is', 'controlled', 'by', 'the', 'small', 'parameter', '1rho', 'u', 'explicit', 'expressions', 'are', 'given', 'for', 'the', 'lowenergy', 'scale', 'differential', 'conductance', 'and', 'occupancy', 'of', 'the', 'level', 'in', 'the', 'limit', 'where', 'u', 'is', 'large']] | [-0.18001178453365962, 0.17330557851916334, -0.011846782355957354, 0.05527672782617932, -0.029967664303258063, -0.23557774392849146, 0.06766721742460505, 0.32578608199954034, -0.2947820635450383, -0.2473828233064463, 0.022417576478328555, -0.3030566612910479, -0.07949923199911912, 0.14272046595811844, 0.01421036436377714, 0.0012458904487236092, 0.014420810593292118, 0.047666774860893685, -0.07709481877430031, -0.17531787619227543, 0.3165920054850479, -0.006994653635968765, 0.2535561097335691, 0.11169619603392979, 0.10290652156497042, 0.03305379743066927, 0.051487501574059326, 0.02932170538852612, -0.11721114904309313, 0.05367440414886611, 0.21395756727123322, -0.03243631310760975, 0.2572433907600741, -0.39223777692765, -0.177124886168167, 0.08228133345643679, 0.1310519275519376, 0.1123586647088329, -0.0064077098566728335, -0.28556440106593073, 0.051116332116847234, -0.1866314999262492, -0.12197961286331216, -0.061496691938179235, 0.0574869246823558, 0.029683109478955885, -0.3238227379756669, 0.09975678764749318, 0.01031533748144284, 0.017735636549962994, -0.031777135334753744, -0.060151113849133256, -0.02861972764134407, 0.12653700641841473, 0.0026916566002182663, 0.08995796394728435, 0.11675534512847661, -0.16984474285971374, -0.021412390029678742, 0.3611737559114893, -0.11242197760070363, -0.22332796671738228, 0.21818907000745336, -0.14425323130873344, -0.10550506106267372, 0.13885513686264556, 0.10815348862670363, 0.10594654647322993, -0.16715269620219866, 0.19160419521581692, -0.04937703173374757, 0.17850182922712216, 0.013724104555634161, -0.0038450351419548195, 0.19004623030816825, 0.1775689143113171, 0.07597331720404327, 0.1096723604761064, -0.09212257670704276, -0.07951890923393269, -0.34353642476101715, -0.08267992755786205, -0.1796124794287607, 0.08681937129857639, -0.09376335224418048, -0.17263321588165126, 0.3681967445486953, 0.12340931649863099, 0.2159651322973271, 0.0049159660019601386, 0.2675138392051061, 0.18139957765738168, 0.06464043066836894, 0.02011988622136414, 0.21063336620107292, 0.16173150352823237, 0.02486539018379214, -0.26959790693906444, 0.013836608001341422, 0.08260199623958518] |
710.025 | Electron-phonon coupling and longitudinal mechanical-mode cooling in a
metallic nanowire | We investigate electron-phonon coupling in a narrow suspended metallic wire,
in which the phonon modes are restricted to one dimension but the electrons
behave three-dimensionally. Explicit theoretical results related to the known
bulk properties are derived. We find out that longitudinal vibration modes can
be cooled by electronic tunnel refrigeration far below the bath temperature
provided the mechanical quality factors of the modes are sufficiently high. The
obtained results apply to feasible experimental configurations.
| cond-mat.mes-hall | we investigate electronphonon coupling in a narrow suspended metallic wire in which the phonon modes are restricted to one dimension but the electrons behave threedimensionally explicit theoretical results related to the known bulk properties are derived we find out that longitudinal vibration modes can be cooled by electronic tunnel refrigeration far below the bath temperature provided the mechanical quality factors of the modes are sufficiently high the obtained results apply to feasible experimental configurations | [['we', 'investigate', 'electronphonon', 'coupling', 'in', 'a', 'narrow', 'suspended', 'metallic', 'wire', 'in', 'which', 'the', 'phonon', 'modes', 'are', 'restricted', 'to', 'one', 'dimension', 'but', 'the', 'electrons', 'behave', 'threedimensionally', 'explicit', 'theoretical', 'results', 'related', 'to', 'the', 'known', 'bulk', 'properties', 'are', 'derived', 'we', 'find', 'out', 'that', 'longitudinal', 'vibration', 'modes', 'can', 'be', 'cooled', 'by', 'electronic', 'tunnel', 'refrigeration', 'far', 'below', 'the', 'bath', 'temperature', 'provided', 'the', 'mechanical', 'quality', 'factors', 'of', 'the', 'modes', 'are', 'sufficiently', 'high', 'the', 'obtained', 'results', 'apply', 'to', 'feasible', 'experimental', 'configurations']] | [-0.1580611325680857, 0.25741426663070516, -0.020163885088058543, 0.02916593787990309, -0.0684104421698312, -0.18754727519872422, 0.06463269683582759, 0.40955049373410846, -0.2566420111201099, -0.23868596642529843, 0.024030088758524006, -0.3268667205954222, -0.05629672367138335, 0.23014027782640345, 0.02443421434460057, 0.026333272699097555, 0.055615994270664416, -0.003610931374636051, -0.04069334153727804, -0.19138018875005278, 0.2256232881163423, 0.04811395885347313, 0.34419635270495674, 0.08960403733559556, 0.03421324515413191, -0.07736181245638511, 0.11247561676931139, 0.05647256651993941, -0.19474632186373472, 0.042448944739393285, 0.2870381834816087, -0.08239145767937943, 0.2006217191071325, -0.4723677689310264, -0.19745148601312493, 0.0035722920170834136, 0.15355491531718635, 0.15346017873034234, -0.008493376669247408, -0.24115782910706224, 0.051063408112354776, -0.09999534817462838, -0.17711733228124277, -0.15682520433580754, -0.06227167191084575, -0.0043889566362407565, -0.23698927701224345, 0.07742756111484424, 0.024946441471173957, 0.04467100036531888, -0.07148306065150914, -0.14093246415408478, -0.04896741749316051, 0.09397952609563347, 0.06625589641515871, -0.04025153692723629, 0.24256828018917223, -0.08222325250733627, -0.06355110415559564, 0.35352045966538825, -0.06368531697001811, -0.15649517152357745, 0.2230071349925286, -0.1656826878960773, -0.04680547727322256, 0.17212781373637956, 0.12168725721563238, 0.07671104420001644, -0.1418116302921663, 0.044921880260714, -0.010232890279636392, 0.14720862148631667, 0.0715316136751475, 0.11510982469583207, 0.2051881497790345, 0.14380918068786128, -0.02697215648368001, 0.19276733937314586, -0.06368776215743777, -0.01094160261060539, -0.24784987955983426, -0.10204334085102419, -0.2238088513447626, 0.07191451063153108, -0.04860849193347668, -0.1689894259781451, 0.38124716314613016, 0.13897697177113466, 0.15691472496837378, -0.013152066981608703, 0.28828075724477703, 0.12983913898367333, 0.08672060676523156, 0.0770407159170891, 0.3762981138924433, 0.18505351374089415, 0.0690708640157371, -0.28632258198450544, -0.009403127557094637, -0.028057166648953146] |
710.0251 | nu-Process Nucleosynthesis in Population III Core-Collapse Supernovae | We investigate the effects of neutrino-nucleus interactions (the nu-process)
on the production of iron-peak elements in Population III core-collapse
supernovae. The nu-process and the following proton and neutron capture
reactions produce odd-Z iron-peak elements in complete and incomplete Si
burning region. This reaction sequence enhances the abundances of Sc, Mn, and
Co in the supernova ejecta. The supernova explosion models of 15 M_sol and 25
M_sol stars with the nu-process well reproduce the averaged Mn/Fe ratio
observed in extremely metal-poor halo stars. In order to reproduce the observed
Mn/Fe ratio, the total neutrino energy in the supernovae should be 3 - 9 x
10^{53} ergs. Stronger neutrino irradiation and other production sites are
necessary to reproduce the observed Sc/Fe and Co/Fe ratios, although these
ratios increase by the nu-process.
| astro-ph | we investigate the effects of neutrinonucleus interactions the nuprocess on the production of ironpeak elements in population iii corecollapse supernovae the nuprocess and the following proton and neutron capture reactions produce oddz ironpeak elements in complete and incomplete si burning region this reaction sequence enhances the abundances of sc mn and co in the supernova ejecta the supernova explosion models of 15 m_sol and 25 m_sol stars with the nuprocess well reproduce the averaged mnfe ratio observed in extremely metalpoor halo stars in order to reproduce the observed mnfe ratio the total neutrino energy in the supernovae should be 3 9 x 1053 ergs stronger neutrino irradiation and other production sites are necessary to reproduce the observed scfe and cofe ratios although these ratios increase by the nuprocess | [['we', 'investigate', 'the', 'effects', 'of', 'neutrinonucleus', 'interactions', 'the', 'nuprocess', 'on', 'the', 'production', 'of', 'ironpeak', 'elements', 'in', 'population', 'iii', 'corecollapse', 'supernovae', 'the', 'nuprocess', 'and', 'the', 'following', 'proton', 'and', 'neutron', 'capture', 'reactions', 'produce', 'oddz', 'ironpeak', 'elements', 'in', 'complete', 'and', 'incomplete', 'si', 'burning', 'region', 'this', 'reaction', 'sequence', 'enhances', 'the', 'abundances', 'of', 'sc', 'mn', 'and', 'co', 'in', 'the', 'supernova', 'ejecta', 'the', 'supernova', 'explosion', 'models', 'of', '15', 'm_sol', 'and', '25', 'm_sol', 'stars', 'with', 'the', 'nuprocess', 'well', 'reproduce', 'the', 'averaged', 'mnfe', 'ratio', 'observed', 'in', 'extremely', 'metalpoor', 'halo', 'stars', 'in', 'order', 'to', 'reproduce', 'the', 'observed', 'mnfe', 'ratio', 'the', 'total', 'neutrino', 'energy', 'in', 'the', 'supernovae', 'should', 'be', '3', '9', 'x', '1053', 'ergs', 'stronger', 'neutrino', 'irradiation', 'and', 'other', 'production', 'sites', 'are', 'necessary', 'to', 'reproduce', 'the', 'observed', 'scfe', 'and', 'cofe', 'ratios', 'although', 'these', 'ratios', 'increase', 'by', 'the', 'nuprocess']] | [-0.0064787725950736785, 0.18036009274510434, 0.07909625667821274, 0.2039442751220122, -0.0005481536063598469, -0.06017803359782192, 0.08277019764955185, 0.38224943485693075, -0.15626331759267487, -0.3516240821336396, -0.05920211980446766, -0.3795926701823191, 0.06512874554806558, 0.11844399586698273, 0.017248952682734853, -0.0950040279649329, 0.10728791462497611, -0.08762704183027381, -0.08775365446490468, -0.30382723899037956, 0.2933442219509743, 0.09250662544582156, 0.19757964520249516, 0.018097559731756974, -0.003716276743944036, -0.1589580971194664, -0.031582826150952314, -0.09101014841144206, -0.1548821189089722, 0.009333840088288525, 0.24726943274859536, 0.14907831763048307, 0.06141335908614565, -0.42197758750990033, -0.22242639521573437, 0.11764363019028679, 0.20980168436290114, 0.0484629270631558, -0.0940056938361522, -0.19583374241483398, 0.06887020315480186, -0.23413243776576564, -0.1361417060943495, 0.09126861697586719, 0.05260032714068075, 0.10914911777945235, -0.2899749584757956, 0.1184135668536328, 0.017768435584912368, 0.05086288182428689, -0.10841565862915559, -0.20083550958588603, -0.09036066043881874, 0.029724165542575065, 0.060965781904087635, 0.007504837002898057, 0.16213133158453275, -0.08318125139521726, 0.03863815127806447, 0.44703758879040834, -0.08490831491599238, 0.047566876746714115, 0.1546066930895904, -0.2329922850622097, -0.15582564906799234, 0.18908701730833855, 0.14789872707297036, 0.1212314914982926, -0.16343432077519537, -0.00984554178239705, 0.04620619778870605, 0.1860995728020498, 0.04822886061811005, 0.03945204885314979, 0.245094415229687, 0.1689317253712943, -0.03806396947129542, -0.054666593687670684, -0.21864851189275214, -0.0047671476677351166, -0.24468048578637536, -0.12095431671332335, -0.028579952830114053, 0.13689830296425498, -0.15638831610260695, -0.11441155387728941, 0.29502306098584086, 0.07122734524773477, 0.23319067332863597, -0.04896870294578548, 0.2417120790705667, 0.0512880886963103, 0.08221539657762378, 0.08069776393313077, 0.3496144797973102, 0.2786234893483197, 0.16057028403884033, -0.3282488823751919, 0.1926658693846548, 0.03308988517346734] |
710.0252 | Expected discovery potential and sensitivity of the ANTARES neutrino
telescope to neutrino point-like sources | The ANTARES telescope is being built in the Mediterranean Sea. The detector
consists of a 3D array of photomultipliers (PMTs) that detects the Cherenkov
light induced by the muons produced in neutrino interactions. Other signatures
can also be detected. Since the neutrino fluxes from point-like sources are
expected to be small, it is of the utmost importance to take advantage of the
ANTARES pointing accuracy (angular resolution better than 0.3 degrees for muon
events above 10 TeV) to disentangle a possible signal from the unavoidable
atmospheric neutrino background. In order to distinguish an excess of neutrino
events from the background, several searching algorithms have been developed
within the ANTARES collaboration. In this contribution, the discovery potential
and sensitivity to point-like sources of the ANTARES neutrino telescope are
presented.
| astro-ph | the antares telescope is being built in the mediterranean sea the detector consists of a 3d array of photomultipliers pmts that detects the cherenkov light induced by the muons produced in neutrino interactions other signatures can also be detected since the neutrino fluxes from pointlike sources are expected to be small it is of the utmost importance to take advantage of the antares pointing accuracy angular resolution better than 03 degrees for muon events above 10 tev to disentangle a possible signal from the unavoidable atmospheric neutrino background in order to distinguish an excess of neutrino events from the background several searching algorithms have been developed within the antares collaboration in this contribution the discovery potential and sensitivity to pointlike sources of the antares neutrino telescope are presented | [['the', 'antares', 'telescope', 'is', 'being', 'built', 'in', 'the', 'mediterranean', 'sea', 'the', 'detector', 'consists', 'of', 'a', '3d', 'array', 'of', 'photomultipliers', 'pmts', 'that', 'detects', 'the', 'cherenkov', 'light', 'induced', 'by', 'the', 'muons', 'produced', 'in', 'neutrino', 'interactions', 'other', 'signatures', 'can', 'also', 'be', 'detected', 'since', 'the', 'neutrino', 'fluxes', 'from', 'pointlike', 'sources', 'are', 'expected', 'to', 'be', 'small', 'it', 'is', 'of', 'the', 'utmost', 'importance', 'to', 'take', 'advantage', 'of', 'the', 'antares', 'pointing', 'accuracy', 'angular', 'resolution', 'better', 'than', '03', 'degrees', 'for', 'muon', 'events', 'above', '10', 'tev', 'to', 'disentangle', 'a', 'possible', 'signal', 'from', 'the', 'unavoidable', 'atmospheric', 'neutrino', 'background', 'in', 'order', 'to', 'distinguish', 'an', 'excess', 'of', 'neutrino', 'events', 'from', 'the', 'background', 'several', 'searching', 'algorithms', 'have', 'been', 'developed', 'within', 'the', 'antares', 'collaboration', 'in', 'this', 'contribution', 'the', 'discovery', 'potential', 'and', 'sensitivity', 'to', 'pointlike', 'sources', 'of', 'the', 'antares', 'neutrino', 'telescope', 'are', 'presented']] | [-0.059980290730891284, 0.22345408006833622, -0.014134118393940298, 0.16668776730966783, -0.0635872172024392, -0.07248406442158739, -0.010969840917823603, 0.35817122836306226, -0.17945418844101368, -0.4112333084049169, 0.07488874185401073, -0.3939337585015892, -0.024447741758194752, 0.21144661586549773, 0.005215792980379774, 0.006448754924349487, 0.131252882827539, -0.02961792538917507, -0.023274470526757796, -0.2311315070701312, 0.22624015806650277, 0.20811519466224127, 0.23277670321112964, 0.050329565496213036, 0.14913530802550667, -0.09444030450686114, -0.12821367498372638, -0.04735511217950261, 0.018912842076758807, 0.03185716620646417, 0.2825551442365395, 0.1341032297914353, 0.07622353897087919, -0.3886834460790851, -0.20175832767199608, 0.1780524144633091, 0.11785230351415521, 0.021796736073156353, -0.061094467229850125, -0.40010158200675505, 0.09331342131190468, -0.1748994804238464, -0.1823177562073397, 0.044888003500091145, -0.0396353715841542, -0.011986635990069772, -0.20761858816695167, -0.0002367893305290636, -0.03544934167575775, 0.023663822373237053, -0.02667916103018797, -0.17844012335990556, 0.017569295308931032, 0.12363784599074279, 0.09788205773656955, 0.03244405139776063, 0.12404783435886202, -0.1498634695308283, -0.0903408484555257, 0.37540216824709205, -0.03933113823370604, -0.11895324644865468, 0.14911848132624073, -0.19821205842890777, -0.11108065959706437, 0.26461115299753146, 0.2005769398610937, 0.04657925987203271, -0.2666981358124758, 0.04953966221319206, 0.014244309233617969, 0.19611133987655194, 0.08664971913094632, 0.046690958846738795, 0.30277686087356415, 0.2536341700470075, 0.12181045437137072, 0.05535764938986176, -0.3003296951392258, 6.422868273148197e-05, -0.32147123241156805, -0.08907853585151315, -0.1457331616911688, 0.0717012304075979, -0.012923866488449676, -0.08789679430992692, 0.41963195585412905, 0.1854202581962454, 0.11963244750950253, -0.058653690246501355, 0.3173260756448144, 0.007872617200973764, 0.11183945491757186, 0.011205433218492544, 0.3711478708228242, 0.11722233623004286, 0.1298735719610704, -0.19947650097492442, 0.005213870645093266, 0.040322173925233074] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.